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authorArne Schwabe <arne@rfc2549.org>2012-04-16 19:21:14 +0200
committerArne Schwabe <arne@rfc2549.org>2012-04-16 19:21:14 +0200
commit3e4d8f433239c40311037616b1b8833a06651ae0 (patch)
tree98ab7fce0d011d34677b0beb762d389cb5c39199 /openssl/crypto/bn
Initial import
Diffstat (limited to 'openssl/crypto/bn')
-rw-r--r--openssl/crypto/bn/asm/README27
-rw-r--r--openssl/crypto/bn/asm/alpha-mont.pl321
-rw-r--r--openssl/crypto/bn/asm/armv4-mont.pl201
-rw-r--r--openssl/crypto/bn/asm/armv4-mont.s145
-rw-r--r--openssl/crypto/bn/asm/bn-586.pl774
-rw-r--r--openssl/crypto/bn/asm/co-586.pl287
-rw-r--r--openssl/crypto/bn/asm/ia64.S1555
-rw-r--r--openssl/crypto/bn/asm/mips3-mont.pl327
-rw-r--r--openssl/crypto/bn/asm/mips3.s2201
-rw-r--r--openssl/crypto/bn/asm/pa-risc2.s1618
-rw-r--r--openssl/crypto/bn/asm/pa-risc2W.s1605
-rw-r--r--openssl/crypto/bn/asm/ppc-mont.pl323
-rw-r--r--openssl/crypto/bn/asm/ppc.pl1981
-rw-r--r--openssl/crypto/bn/asm/ppc64-mont.pl918
-rw-r--r--openssl/crypto/bn/asm/s390x-mont.pl225
-rwxr-xr-xopenssl/crypto/bn/asm/s390x.S678
-rw-r--r--openssl/crypto/bn/asm/sparcv8.S1458
-rw-r--r--openssl/crypto/bn/asm/sparcv8plus.S1558
-rw-r--r--openssl/crypto/bn/asm/sparcv9-mont.pl606
-rwxr-xr-xopenssl/crypto/bn/asm/sparcv9a-mont.pl882
-rw-r--r--openssl/crypto/bn/asm/via-mont.pl242
-rwxr-xr-xopenssl/crypto/bn/asm/x86-mont.pl591
-rw-r--r--openssl/crypto/bn/asm/x86.pl28
-rw-r--r--openssl/crypto/bn/asm/x86/add.pl76
-rw-r--r--openssl/crypto/bn/asm/x86/comba.pl277
-rw-r--r--openssl/crypto/bn/asm/x86/div.pl15
-rw-r--r--openssl/crypto/bn/asm/x86/f3
-rw-r--r--openssl/crypto/bn/asm/x86/mul.pl77
-rw-r--r--openssl/crypto/bn/asm/x86/mul_add.pl87
-rw-r--r--openssl/crypto/bn/asm/x86/sqr.pl60
-rw-r--r--openssl/crypto/bn/asm/x86/sub.pl76
-rw-r--r--openssl/crypto/bn/asm/x86_64-gcc.c606
-rwxr-xr-xopenssl/crypto/bn/asm/x86_64-mont.pl330
-rw-r--r--openssl/crypto/bn/bn.h876
-rw-r--r--openssl/crypto/bn/bn.mul19
-rw-r--r--openssl/crypto/bn/bn_add.c313
-rw-r--r--openssl/crypto/bn/bn_asm.c1030
-rw-r--r--openssl/crypto/bn/bn_blind.c376
-rwxr-xr-xopenssl/crypto/bn/bn_const.c402
-rw-r--r--openssl/crypto/bn/bn_ctx.c454
-rw-r--r--openssl/crypto/bn/bn_depr.c112
-rw-r--r--openssl/crypto/bn/bn_div.c650
-rw-r--r--openssl/crypto/bn/bn_err.c150
-rw-r--r--openssl/crypto/bn/bn_exp.c991
-rw-r--r--openssl/crypto/bn/bn_exp2.c312
-rw-r--r--openssl/crypto/bn/bn_gcd.c654
-rw-r--r--openssl/crypto/bn/bn_gf2m.c1035
-rw-r--r--openssl/crypto/bn/bn_kron.c184
-rw-r--r--openssl/crypto/bn/bn_lcl.h491
-rw-r--r--openssl/crypto/bn/bn_lib.c845
-rw-r--r--openssl/crypto/bn/bn_mod.c301
-rw-r--r--openssl/crypto/bn/bn_mont.c567
-rw-r--r--openssl/crypto/bn/bn_mpi.c130
-rw-r--r--openssl/crypto/bn/bn_mul.c1166
-rw-r--r--openssl/crypto/bn/bn_nist.c844
-rw-r--r--openssl/crypto/bn/bn_prime.c494
-rw-r--r--openssl/crypto/bn/bn_prime.h327
-rw-r--r--openssl/crypto/bn/bn_prime.pl119
-rw-r--r--openssl/crypto/bn/bn_print.c359
-rw-r--r--openssl/crypto/bn/bn_rand.c305
-rw-r--r--openssl/crypto/bn/bn_recp.c234
-rw-r--r--openssl/crypto/bn/bn_shift.c220
-rw-r--r--openssl/crypto/bn/bn_sqr.c294
-rw-r--r--openssl/crypto/bn/bn_sqrt.c393
-rw-r--r--openssl/crypto/bn/bn_word.c247
-rw-r--r--openssl/crypto/bn/bnspeed.c233
-rw-r--r--openssl/crypto/bn/bntest.c2013
-rw-r--r--openssl/crypto/bn/divtest.c41
-rw-r--r--openssl/crypto/bn/exp.c62
-rw-r--r--openssl/crypto/bn/expspeed.c353
-rw-r--r--openssl/crypto/bn/exptest.c204
-rw-r--r--openssl/crypto/bn/todo3
72 files changed, 37961 insertions, 0 deletions
diff --git a/openssl/crypto/bn/asm/README b/openssl/crypto/bn/asm/README
new file mode 100644
index 00000000..b0f3a68a
--- /dev/null
+++ b/openssl/crypto/bn/asm/README
@@ -0,0 +1,27 @@
+<OBSOLETE>
+
+All assember in this directory are just version of the file
+crypto/bn/bn_asm.c.
+
+Quite a few of these files are just the assember output from gcc since on
+quite a few machines they are 2 times faster than the system compiler.
+
+For the x86, I have hand written assember because of the bad job all
+compilers seem to do on it. This normally gives a 2 time speed up in the RSA
+routines.
+
+For the DEC alpha, I also hand wrote the assember (except the division which
+is just the output from the C compiler pasted on the end of the file).
+On the 2 alpha C compilers I had access to, it was not possible to do
+64b x 64b -> 128b calculations (both long and the long long data types
+were 64 bits). So the hand assember gives access to the 128 bit result and
+a 2 times speedup :-).
+
+There are 3 versions of assember for the HP PA-RISC.
+
+pa-risc.s is the origional one which works fine and generated using gcc :-)
+
+pa-risc2W.s and pa-risc2.s are 64 and 32-bit PA-RISC 2.0 implementations
+by Chris Ruemmler from HP (with some help from the HP C compiler).
+
+</OBSOLETE>
diff --git a/openssl/crypto/bn/asm/alpha-mont.pl b/openssl/crypto/bn/asm/alpha-mont.pl
new file mode 100644
index 00000000..03596e20
--- /dev/null
+++ b/openssl/crypto/bn/asm/alpha-mont.pl
@@ -0,0 +1,321 @@
+#!/usr/bin/env perl
+#
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+#
+# On 21264 RSA sign performance improves by 70/35/20/15 percent for
+# 512/1024/2048/4096 bit key lengths. This is against vendor compiler
+# instructed to '-tune host' code with in-line assembler. Other
+# benchmarks improve by 15-20%. To anchor it to something else, the
+# code provides approximately the same performance per GHz as AMD64.
+# I.e. if you compare 1GHz 21264 and 2GHz Opteron, you'll observe ~2x
+# difference.
+
+# int bn_mul_mont(
+$rp="a0"; # BN_ULONG *rp,
+$ap="a1"; # const BN_ULONG *ap,
+$bp="a2"; # const BN_ULONG *bp,
+$np="a3"; # const BN_ULONG *np,
+$n0="a4"; # const BN_ULONG *n0,
+$num="a5"; # int num);
+
+$lo0="t0";
+$hi0="t1";
+$lo1="t2";
+$hi1="t3";
+$aj="t4";
+$bi="t5";
+$nj="t6";
+$tp="t7";
+$alo="t8";
+$ahi="t9";
+$nlo="t10";
+$nhi="t11";
+$tj="t12";
+$i="s3";
+$j="s4";
+$m1="s5";
+
+$code=<<___;
+#ifdef __linux__
+#include <asm/regdef.h>
+#else
+#include <asm.h>
+#include <regdef.h>
+#endif
+
+.text
+
+.set noat
+.set noreorder
+
+.globl bn_mul_mont
+.align 5
+.ent bn_mul_mont
+bn_mul_mont:
+ lda sp,-48(sp)
+ stq ra,0(sp)
+ stq s3,8(sp)
+ stq s4,16(sp)
+ stq s5,24(sp)
+ stq fp,32(sp)
+ mov sp,fp
+ .mask 0x0400f000,-48
+ .frame fp,48,ra
+ .prologue 0
+
+ .align 4
+ .set reorder
+ sextl $num,$num
+ mov 0,v0
+ cmplt $num,4,AT
+ bne AT,.Lexit
+
+ ldq $hi0,0($ap) # ap[0]
+ s8addq $num,16,AT
+ ldq $aj,8($ap)
+ subq sp,AT,sp
+ ldq $bi,0($bp) # bp[0]
+ lda AT,-4096(zero) # mov -4096,AT
+ ldq $n0,0($n0)
+ and sp,AT,sp
+
+ mulq $hi0,$bi,$lo0
+ ldq $hi1,0($np) # np[0]
+ umulh $hi0,$bi,$hi0
+ ldq $nj,8($np)
+
+ mulq $lo0,$n0,$m1
+
+ mulq $hi1,$m1,$lo1
+ umulh $hi1,$m1,$hi1
+
+ addq $lo1,$lo0,$lo1
+ cmpult $lo1,$lo0,AT
+ addq $hi1,AT,$hi1
+
+ mulq $aj,$bi,$alo
+ mov 2,$j
+ umulh $aj,$bi,$ahi
+ mov sp,$tp
+
+ mulq $nj,$m1,$nlo
+ s8addq $j,$ap,$aj
+ umulh $nj,$m1,$nhi
+ s8addq $j,$np,$nj
+.align 4
+.L1st:
+ .set noreorder
+ ldq $aj,0($aj)
+ addl $j,1,$j
+ ldq $nj,0($nj)
+ lda $tp,8($tp)
+
+ addq $alo,$hi0,$lo0
+ mulq $aj,$bi,$alo
+ cmpult $lo0,$hi0,AT
+ addq $nlo,$hi1,$lo1
+
+ mulq $nj,$m1,$nlo
+ addq $ahi,AT,$hi0
+ cmpult $lo1,$hi1,v0
+ cmplt $j,$num,$tj
+
+ umulh $aj,$bi,$ahi
+ addq $nhi,v0,$hi1
+ addq $lo1,$lo0,$lo1
+ s8addq $j,$ap,$aj
+
+ umulh $nj,$m1,$nhi
+ cmpult $lo1,$lo0,v0
+ addq $hi1,v0,$hi1
+ s8addq $j,$np,$nj
+
+ stq $lo1,-8($tp)
+ nop
+ unop
+ bne $tj,.L1st
+ .set reorder
+
+ addq $alo,$hi0,$lo0
+ addq $nlo,$hi1,$lo1
+ cmpult $lo0,$hi0,AT
+ cmpult $lo1,$hi1,v0
+ addq $ahi,AT,$hi0
+ addq $nhi,v0,$hi1
+
+ addq $lo1,$lo0,$lo1
+ cmpult $lo1,$lo0,v0
+ addq $hi1,v0,$hi1
+
+ stq $lo1,0($tp)
+
+ addq $hi1,$hi0,$hi1
+ cmpult $hi1,$hi0,AT
+ stq $hi1,8($tp)
+ stq AT,16($tp)
+
+ mov 1,$i
+.align 4
+.Louter:
+ s8addq $i,$bp,$bi
+ ldq $hi0,0($ap)
+ ldq $aj,8($ap)
+ ldq $bi,0($bi)
+ ldq $hi1,0($np)
+ ldq $nj,8($np)
+ ldq $tj,0(sp)
+
+ mulq $hi0,$bi,$lo0
+ umulh $hi0,$bi,$hi0
+
+ addq $lo0,$tj,$lo0
+ cmpult $lo0,$tj,AT
+ addq $hi0,AT,$hi0
+
+ mulq $lo0,$n0,$m1
+
+ mulq $hi1,$m1,$lo1
+ umulh $hi1,$m1,$hi1
+
+ addq $lo1,$lo0,$lo1
+ cmpult $lo1,$lo0,AT
+ mov 2,$j
+ addq $hi1,AT,$hi1
+
+ mulq $aj,$bi,$alo
+ mov sp,$tp
+ umulh $aj,$bi,$ahi
+
+ mulq $nj,$m1,$nlo
+ s8addq $j,$ap,$aj
+ umulh $nj,$m1,$nhi
+.align 4
+.Linner:
+ .set noreorder
+ ldq $tj,8($tp) #L0
+ nop #U1
+ ldq $aj,0($aj) #L1
+ s8addq $j,$np,$nj #U0
+
+ ldq $nj,0($nj) #L0
+ nop #U1
+ addq $alo,$hi0,$lo0 #L1
+ lda $tp,8($tp)
+
+ mulq $aj,$bi,$alo #U1
+ cmpult $lo0,$hi0,AT #L0
+ addq $nlo,$hi1,$lo1 #L1
+ addl $j,1,$j
+
+ mulq $nj,$m1,$nlo #U1
+ addq $ahi,AT,$hi0 #L0
+ addq $lo0,$tj,$lo0 #L1
+ cmpult $lo1,$hi1,v0 #U0
+
+ umulh $aj,$bi,$ahi #U1
+ cmpult $lo0,$tj,AT #L0
+ addq $lo1,$lo0,$lo1 #L1
+ addq $nhi,v0,$hi1 #U0
+
+ umulh $nj,$m1,$nhi #U1
+ s8addq $j,$ap,$aj #L0
+ cmpult $lo1,$lo0,v0 #L1
+ cmplt $j,$num,$tj #U0 # borrow $tj
+
+ addq $hi0,AT,$hi0 #L0
+ addq $hi1,v0,$hi1 #U1
+ stq $lo1,-8($tp) #L1
+ bne $tj,.Linner #U0
+ .set reorder
+
+ ldq $tj,8($tp)
+ addq $alo,$hi0,$lo0
+ addq $nlo,$hi1,$lo1
+ cmpult $lo0,$hi0,AT
+ cmpult $lo1,$hi1,v0
+ addq $ahi,AT,$hi0
+ addq $nhi,v0,$hi1
+
+ addq $lo0,$tj,$lo0
+ cmpult $lo0,$tj,AT
+ addq $hi0,AT,$hi0
+
+ ldq $tj,16($tp)
+ addq $lo1,$lo0,$j
+ cmpult $j,$lo0,v0
+ addq $hi1,v0,$hi1
+
+ addq $hi1,$hi0,$lo1
+ stq $j,0($tp)
+ cmpult $lo1,$hi0,$hi1
+ addq $lo1,$tj,$lo1
+ cmpult $lo1,$tj,AT
+ addl $i,1,$i
+ addq $hi1,AT,$hi1
+ stq $lo1,8($tp)
+ cmplt $i,$num,$tj # borrow $tj
+ stq $hi1,16($tp)
+ bne $tj,.Louter
+
+ s8addq $num,sp,$tj # &tp[num]
+ mov $rp,$bp # put rp aside
+ mov sp,$tp
+ mov sp,$ap
+ mov 0,$hi0 # clear borrow bit
+
+.align 4
+.Lsub: ldq $lo0,0($tp)
+ ldq $lo1,0($np)
+ lda $tp,8($tp)
+ lda $np,8($np)
+ subq $lo0,$lo1,$lo1 # tp[i]-np[i]
+ cmpult $lo0,$lo1,AT
+ subq $lo1,$hi0,$lo0
+ cmpult $lo1,$lo0,$hi0
+ or $hi0,AT,$hi0
+ stq $lo0,0($rp)
+ cmpult $tp,$tj,v0
+ lda $rp,8($rp)
+ bne v0,.Lsub
+
+ subq $hi1,$hi0,$hi0 # handle upmost overflow bit
+ mov sp,$tp
+ mov $bp,$rp # restore rp
+
+ and sp,$hi0,$ap
+ bic $bp,$hi0,$bp
+ bis $bp,$ap,$ap # ap=borrow?tp:rp
+
+.align 4
+.Lcopy: ldq $aj,0($ap) # copy or in-place refresh
+ lda $tp,8($tp)
+ lda $rp,8($rp)
+ lda $ap,8($ap)
+ stq zero,-8($tp) # zap tp
+ cmpult $tp,$tj,AT
+ stq $aj,-8($rp)
+ bne AT,.Lcopy
+ mov 1,v0
+
+.Lexit:
+ .set noreorder
+ mov fp,sp
+ /*ldq ra,0(sp)*/
+ ldq s3,8(sp)
+ ldq s4,16(sp)
+ ldq s5,24(sp)
+ ldq fp,32(sp)
+ lda sp,48(sp)
+ ret (ra)
+.end bn_mul_mont
+.ascii "Montgomery Multiplication for Alpha, CRYPTOGAMS by <appro\@openssl.org>"
+.align 2
+___
+
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/armv4-mont.pl b/openssl/crypto/bn/asm/armv4-mont.pl
new file mode 100644
index 00000000..14e0d2d1
--- /dev/null
+++ b/openssl/crypto/bn/asm/armv4-mont.pl
@@ -0,0 +1,201 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# January 2007.
+
+# Montgomery multiplication for ARMv4.
+#
+# Performance improvement naturally varies among CPU implementations
+# and compilers. The code was observed to provide +65-35% improvement
+# [depending on key length, less for longer keys] on ARM920T, and
+# +115-80% on Intel IXP425. This is compared to pre-bn_mul_mont code
+# base and compiler generated code with in-lined umull and even umlal
+# instructions. The latter means that this code didn't really have an
+# "advantage" of utilizing some "secret" instruction.
+#
+# The code is interoperable with Thumb ISA and is rather compact, less
+# than 1/2KB. Windows CE port would be trivial, as it's exclusively
+# about decorations, ABI and instruction syntax are identical.
+
+$num="r0"; # starts as num argument, but holds &tp[num-1]
+$ap="r1";
+$bp="r2"; $bi="r2"; $rp="r2";
+$np="r3";
+$tp="r4";
+$aj="r5";
+$nj="r6";
+$tj="r7";
+$n0="r8";
+########### # r9 is reserved by ELF as platform specific, e.g. TLS pointer
+$alo="r10"; # sl, gcc uses it to keep @GOT
+$ahi="r11"; # fp
+$nlo="r12"; # ip
+########### # r13 is stack pointer
+$nhi="r14"; # lr
+########### # r15 is program counter
+
+#### argument block layout relative to &tp[num-1], a.k.a. $num
+$_rp="$num,#12*4";
+# ap permanently resides in r1
+$_bp="$num,#13*4";
+# np permanently resides in r3
+$_n0="$num,#14*4";
+$_num="$num,#15*4"; $_bpend=$_num;
+
+$code=<<___;
+.text
+
+.global bn_mul_mont
+.type bn_mul_mont,%function
+
+.align 2
+bn_mul_mont:
+ stmdb sp!,{r0,r2} @ sp points at argument block
+ ldr $num,[sp,#3*4] @ load num
+ cmp $num,#2
+ movlt r0,#0
+ addlt sp,sp,#2*4
+ blt .Labrt
+
+ stmdb sp!,{r4-r12,lr} @ save 10 registers
+
+ mov $num,$num,lsl#2 @ rescale $num for byte count
+ sub sp,sp,$num @ alloca(4*num)
+ sub sp,sp,#4 @ +extra dword
+ sub $num,$num,#4 @ "num=num-1"
+ add $tp,$bp,$num @ &bp[num-1]
+
+ add $num,sp,$num @ $num to point at &tp[num-1]
+ ldr $n0,[$_n0] @ &n0
+ ldr $bi,[$bp] @ bp[0]
+ ldr $aj,[$ap],#4 @ ap[0],ap++
+ ldr $nj,[$np],#4 @ np[0],np++
+ ldr $n0,[$n0] @ *n0
+ str $tp,[$_bpend] @ save &bp[num]
+
+ umull $alo,$ahi,$aj,$bi @ ap[0]*bp[0]
+ str $n0,[$_n0] @ save n0 value
+ mul $n0,$alo,$n0 @ "tp[0]"*n0
+ mov $nlo,#0
+ umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"t[0]"
+ mov $tp,sp
+
+.L1st:
+ ldr $aj,[$ap],#4 @ ap[j],ap++
+ mov $alo,$ahi
+ mov $ahi,#0
+ umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[0]
+ ldr $nj,[$np],#4 @ np[j],np++
+ mov $nhi,#0
+ umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
+ adds $nlo,$nlo,$alo
+ str $nlo,[$tp],#4 @ tp[j-1]=,tp++
+ adc $nlo,$nhi,#0
+ cmp $tp,$num
+ bne .L1st
+
+ adds $nlo,$nlo,$ahi
+ mov $nhi,#0
+ adc $nhi,$nhi,#0
+ ldr $tp,[$_bp] @ restore bp
+ str $nlo,[$num] @ tp[num-1]=
+ ldr $n0,[$_n0] @ restore n0
+ str $nhi,[$num,#4] @ tp[num]=
+
+.Louter:
+ sub $tj,$num,sp @ "original" $num-1 value
+ sub $ap,$ap,$tj @ "rewind" ap to &ap[1]
+ sub $np,$np,$tj @ "rewind" np to &np[1]
+ ldr $bi,[$tp,#4]! @ *(++bp)
+ ldr $aj,[$ap,#-4] @ ap[0]
+ ldr $nj,[$np,#-4] @ np[0]
+ ldr $alo,[sp] @ tp[0]
+ ldr $tj,[sp,#4] @ tp[1]
+
+ mov $ahi,#0
+ umlal $alo,$ahi,$aj,$bi @ ap[0]*bp[i]+tp[0]
+ str $tp,[$_bp] @ save bp
+ mul $n0,$alo,$n0
+ mov $nlo,#0
+ umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"tp[0]"
+ mov $tp,sp
+
+.Linner:
+ ldr $aj,[$ap],#4 @ ap[j],ap++
+ adds $alo,$ahi,$tj @ +=tp[j]
+ mov $ahi,#0
+ umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[i]
+ ldr $nj,[$np],#4 @ np[j],np++
+ mov $nhi,#0
+ umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
+ ldr $tj,[$tp,#8] @ tp[j+1]
+ adc $ahi,$ahi,#0
+ adds $nlo,$nlo,$alo
+ str $nlo,[$tp],#4 @ tp[j-1]=,tp++
+ adc $nlo,$nhi,#0
+ cmp $tp,$num
+ bne .Linner
+
+ adds $nlo,$nlo,$ahi
+ mov $nhi,#0
+ adc $nhi,$nhi,#0
+ adds $nlo,$nlo,$tj
+ adc $nhi,$nhi,#0
+ ldr $tp,[$_bp] @ restore bp
+ ldr $tj,[$_bpend] @ restore &bp[num]
+ str $nlo,[$num] @ tp[num-1]=
+ ldr $n0,[$_n0] @ restore n0
+ str $nhi,[$num,#4] @ tp[num]=
+
+ cmp $tp,$tj
+ bne .Louter
+
+ ldr $rp,[$_rp] @ pull rp
+ add $num,$num,#4 @ $num to point at &tp[num]
+ sub $aj,$num,sp @ "original" num value
+ mov $tp,sp @ "rewind" $tp
+ mov $ap,$tp @ "borrow" $ap
+ sub $np,$np,$aj @ "rewind" $np to &np[0]
+
+ subs $tj,$tj,$tj @ "clear" carry flag
+.Lsub: ldr $tj,[$tp],#4
+ ldr $nj,[$np],#4
+ sbcs $tj,$tj,$nj @ tp[j]-np[j]
+ str $tj,[$rp],#4 @ rp[j]=
+ teq $tp,$num @ preserve carry
+ bne .Lsub
+ sbcs $nhi,$nhi,#0 @ upmost carry
+ mov $tp,sp @ "rewind" $tp
+ sub $rp,$rp,$aj @ "rewind" $rp
+
+ and $ap,$tp,$nhi
+ bic $np,$rp,$nhi
+ orr $ap,$ap,$np @ ap=borrow?tp:rp
+
+.Lcopy: ldr $tj,[$ap],#4 @ copy or in-place refresh
+ str sp,[$tp],#4 @ zap tp
+ str $tj,[$rp],#4
+ cmp $tp,$num
+ bne .Lcopy
+
+ add sp,$num,#4 @ skip over tp[num+1]
+ ldmia sp!,{r4-r12,lr} @ restore registers
+ add sp,sp,#2*4 @ skip over {r0,r2}
+ mov r0,#1
+.Labrt: tst lr,#1
+ moveq pc,lr @ be binary compatible with V4, yet
+ bx lr @ interoperable with Thumb ISA:-)
+.size bn_mul_mont,.-bn_mul_mont
+.asciz "Montgomery multiplication for ARMv4, CRYPTOGAMS by <appro\@openssl.org>"
+.align 2
+___
+
+$code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/armv4-mont.s b/openssl/crypto/bn/asm/armv4-mont.s
new file mode 100644
index 00000000..0488455f
--- /dev/null
+++ b/openssl/crypto/bn/asm/armv4-mont.s
@@ -0,0 +1,145 @@
+.text
+
+.global bn_mul_mont
+.type bn_mul_mont,%function
+
+.align 2
+bn_mul_mont:
+ stmdb sp!,{r0,r2} @ sp points at argument block
+ ldr r0,[sp,#3*4] @ load num
+ cmp r0,#2
+ movlt r0,#0
+ addlt sp,sp,#2*4
+ blt .Labrt
+
+ stmdb sp!,{r4-r12,lr} @ save 10 registers
+
+ mov r0,r0,lsl#2 @ rescale r0 for byte count
+ sub sp,sp,r0 @ alloca(4*num)
+ sub sp,sp,#4 @ +extra dword
+ sub r0,r0,#4 @ "num=num-1"
+ add r4,r2,r0 @ &bp[num-1]
+
+ add r0,sp,r0 @ r0 to point at &tp[num-1]
+ ldr r8,[r0,#14*4] @ &n0
+ ldr r2,[r2] @ bp[0]
+ ldr r5,[r1],#4 @ ap[0],ap++
+ ldr r6,[r3],#4 @ np[0],np++
+ ldr r8,[r8] @ *n0
+ str r4,[r0,#15*4] @ save &bp[num]
+
+ umull r10,r11,r5,r2 @ ap[0]*bp[0]
+ str r8,[r0,#14*4] @ save n0 value
+ mul r8,r10,r8 @ "tp[0]"*n0
+ mov r12,#0
+ umlal r10,r12,r6,r8 @ np[0]*n0+"t[0]"
+ mov r4,sp
+
+.L1st:
+ ldr r5,[r1],#4 @ ap[j],ap++
+ mov r10,r11
+ mov r11,#0
+ umlal r10,r11,r5,r2 @ ap[j]*bp[0]
+ ldr r6,[r3],#4 @ np[j],np++
+ mov r14,#0
+ umlal r12,r14,r6,r8 @ np[j]*n0
+ adds r12,r12,r10
+ str r12,[r4],#4 @ tp[j-1]=,tp++
+ adc r12,r14,#0
+ cmp r4,r0
+ bne .L1st
+
+ adds r12,r12,r11
+ mov r14,#0
+ adc r14,r14,#0
+ ldr r4,[r0,#13*4] @ restore bp
+ str r12,[r0] @ tp[num-1]=
+ ldr r8,[r0,#14*4] @ restore n0
+ str r14,[r0,#4] @ tp[num]=
+
+.Louter:
+ sub r7,r0,sp @ "original" r0-1 value
+ sub r1,r1,r7 @ "rewind" ap to &ap[1]
+ sub r3,r3,r7 @ "rewind" np to &np[1]
+ ldr r2,[r4,#4]! @ *(++bp)
+ ldr r5,[r1,#-4] @ ap[0]
+ ldr r6,[r3,#-4] @ np[0]
+ ldr r10,[sp] @ tp[0]
+ ldr r7,[sp,#4] @ tp[1]
+
+ mov r11,#0
+ umlal r10,r11,r5,r2 @ ap[0]*bp[i]+tp[0]
+ str r4,[r0,#13*4] @ save bp
+ mul r8,r10,r8
+ mov r12,#0
+ umlal r10,r12,r6,r8 @ np[0]*n0+"tp[0]"
+ mov r4,sp
+
+.Linner:
+ ldr r5,[r1],#4 @ ap[j],ap++
+ adds r10,r11,r7 @ +=tp[j]
+ mov r11,#0
+ umlal r10,r11,r5,r2 @ ap[j]*bp[i]
+ ldr r6,[r3],#4 @ np[j],np++
+ mov r14,#0
+ umlal r12,r14,r6,r8 @ np[j]*n0
+ ldr r7,[r4,#8] @ tp[j+1]
+ adc r11,r11,#0
+ adds r12,r12,r10
+ str r12,[r4],#4 @ tp[j-1]=,tp++
+ adc r12,r14,#0
+ cmp r4,r0
+ bne .Linner
+
+ adds r12,r12,r11
+ mov r14,#0
+ adc r14,r14,#0
+ adds r12,r12,r7
+ adc r14,r14,#0
+ ldr r4,[r0,#13*4] @ restore bp
+ ldr r7,[r0,#15*4] @ restore &bp[num]
+ str r12,[r0] @ tp[num-1]=
+ ldr r8,[r0,#14*4] @ restore n0
+ str r14,[r0,#4] @ tp[num]=
+
+ cmp r4,r7
+ bne .Louter
+
+ ldr r2,[r0,#12*4] @ pull rp
+ add r0,r0,#4 @ r0 to point at &tp[num]
+ sub r5,r0,sp @ "original" num value
+ mov r4,sp @ "rewind" r4
+ mov r1,r4 @ "borrow" r1
+ sub r3,r3,r5 @ "rewind" r3 to &np[0]
+
+ subs r7,r7,r7 @ "clear" carry flag
+.Lsub: ldr r7,[r4],#4
+ ldr r6,[r3],#4
+ sbcs r7,r7,r6 @ tp[j]-np[j]
+ str r7,[r2],#4 @ rp[j]=
+ teq r4,r0 @ preserve carry
+ bne .Lsub
+ sbcs r14,r14,#0 @ upmost carry
+ mov r4,sp @ "rewind" r4
+ sub r2,r2,r5 @ "rewind" r2
+
+ and r1,r4,r14
+ bic r3,r2,r14
+ orr r1,r1,r3 @ ap=borrow?tp:rp
+
+.Lcopy: ldr r7,[r1],#4 @ copy or in-place refresh
+ str sp,[r4],#4 @ zap tp
+ str r7,[r2],#4
+ cmp r4,r0
+ bne .Lcopy
+
+ add sp,r0,#4 @ skip over tp[num+1]
+ ldmia sp!,{r4-r12,lr} @ restore registers
+ add sp,sp,#2*4 @ skip over {r0,r2}
+ mov r0,#1
+.Labrt: tst lr,#1
+ moveq pc,lr @ be binary compatible with V4, yet
+ .word 0xe12fff1e @ interoperable with Thumb ISA:-)
+.size bn_mul_mont,.-bn_mul_mont
+.asciz "Montgomery multiplication for ARMv4, CRYPTOGAMS by <appro@openssl.org>"
+.align 2
diff --git a/openssl/crypto/bn/asm/bn-586.pl b/openssl/crypto/bn/asm/bn-586.pl
new file mode 100644
index 00000000..332ef3e9
--- /dev/null
+++ b/openssl/crypto/bn/asm/bn-586.pl
@@ -0,0 +1,774 @@
+#!/usr/local/bin/perl
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
+require "x86asm.pl";
+
+&asm_init($ARGV[0],$0);
+
+$sse2=0;
+for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
+
+&external_label("OPENSSL_ia32cap_P") if ($sse2);
+
+&bn_mul_add_words("bn_mul_add_words");
+&bn_mul_words("bn_mul_words");
+&bn_sqr_words("bn_sqr_words");
+&bn_div_words("bn_div_words");
+&bn_add_words("bn_add_words");
+&bn_sub_words("bn_sub_words");
+&bn_sub_part_words("bn_sub_part_words");
+
+&asm_finish();
+
+sub bn_mul_add_words
+ {
+ local($name)=@_;
+
+ &function_begin_B($name,$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":"");
+
+ $r="eax";
+ $a="edx";
+ $c="ecx";
+
+ if ($sse2) {
+ &picmeup("eax","OPENSSL_ia32cap_P");
+ &bt(&DWP(0,"eax"),26);
+ &jnc(&label("maw_non_sse2"));
+
+ &mov($r,&wparam(0));
+ &mov($a,&wparam(1));
+ &mov($c,&wparam(2));
+ &movd("mm0",&wparam(3)); # mm0 = w
+ &pxor("mm1","mm1"); # mm1 = carry_in
+ &jmp(&label("maw_sse2_entry"));
+
+ &set_label("maw_sse2_unrolled",16);
+ &movd("mm3",&DWP(0,$r,"",0)); # mm3 = r[0]
+ &paddq("mm1","mm3"); # mm1 = carry_in + r[0]
+ &movd("mm2",&DWP(0,$a,"",0)); # mm2 = a[0]
+ &pmuludq("mm2","mm0"); # mm2 = w*a[0]
+ &movd("mm4",&DWP(4,$a,"",0)); # mm4 = a[1]
+ &pmuludq("mm4","mm0"); # mm4 = w*a[1]
+ &movd("mm6",&DWP(8,$a,"",0)); # mm6 = a[2]
+ &pmuludq("mm6","mm0"); # mm6 = w*a[2]
+ &movd("mm7",&DWP(12,$a,"",0)); # mm7 = a[3]
+ &pmuludq("mm7","mm0"); # mm7 = w*a[3]
+ &paddq("mm1","mm2"); # mm1 = carry_in + r[0] + w*a[0]
+ &movd("mm3",&DWP(4,$r,"",0)); # mm3 = r[1]
+ &paddq("mm3","mm4"); # mm3 = r[1] + w*a[1]
+ &movd("mm5",&DWP(8,$r,"",0)); # mm5 = r[2]
+ &paddq("mm5","mm6"); # mm5 = r[2] + w*a[2]
+ &movd("mm4",&DWP(12,$r,"",0)); # mm4 = r[3]
+ &paddq("mm7","mm4"); # mm7 = r[3] + w*a[3]
+ &movd(&DWP(0,$r,"",0),"mm1");
+ &movd("mm2",&DWP(16,$a,"",0)); # mm2 = a[4]
+ &pmuludq("mm2","mm0"); # mm2 = w*a[4]
+ &psrlq("mm1",32); # mm1 = carry0
+ &movd("mm4",&DWP(20,$a,"",0)); # mm4 = a[5]
+ &pmuludq("mm4","mm0"); # mm4 = w*a[5]
+ &paddq("mm1","mm3"); # mm1 = carry0 + r[1] + w*a[1]
+ &movd("mm6",&DWP(24,$a,"",0)); # mm6 = a[6]
+ &pmuludq("mm6","mm0"); # mm6 = w*a[6]
+ &movd(&DWP(4,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry1
+ &movd("mm3",&DWP(28,$a,"",0)); # mm3 = a[7]
+ &add($a,32);
+ &pmuludq("mm3","mm0"); # mm3 = w*a[7]
+ &paddq("mm1","mm5"); # mm1 = carry1 + r[2] + w*a[2]
+ &movd("mm5",&DWP(16,$r,"",0)); # mm5 = r[4]
+ &paddq("mm2","mm5"); # mm2 = r[4] + w*a[4]
+ &movd(&DWP(8,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry2
+ &paddq("mm1","mm7"); # mm1 = carry2 + r[3] + w*a[3]
+ &movd("mm5",&DWP(20,$r,"",0)); # mm5 = r[5]
+ &paddq("mm4","mm5"); # mm4 = r[5] + w*a[5]
+ &movd(&DWP(12,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry3
+ &paddq("mm1","mm2"); # mm1 = carry3 + r[4] + w*a[4]
+ &movd("mm5",&DWP(24,$r,"",0)); # mm5 = r[6]
+ &paddq("mm6","mm5"); # mm6 = r[6] + w*a[6]
+ &movd(&DWP(16,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry4
+ &paddq("mm1","mm4"); # mm1 = carry4 + r[5] + w*a[5]
+ &movd("mm5",&DWP(28,$r,"",0)); # mm5 = r[7]
+ &paddq("mm3","mm5"); # mm3 = r[7] + w*a[7]
+ &movd(&DWP(20,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry5
+ &paddq("mm1","mm6"); # mm1 = carry5 + r[6] + w*a[6]
+ &movd(&DWP(24,$r,"",0),"mm1");
+ &psrlq("mm1",32); # mm1 = carry6
+ &paddq("mm1","mm3"); # mm1 = carry6 + r[7] + w*a[7]
+ &movd(&DWP(28,$r,"",0),"mm1");
+ &lea($r,&DWP(32,$r));
+ &psrlq("mm1",32); # mm1 = carry_out
+
+ &sub($c,8);
+ &jz(&label("maw_sse2_exit"));
+ &set_label("maw_sse2_entry");
+ &test($c,0xfffffff8);
+ &jnz(&label("maw_sse2_unrolled"));
+
+ &set_label("maw_sse2_loop",4);
+ &movd("mm2",&DWP(0,$a)); # mm2 = a[i]
+ &movd("mm3",&DWP(0,$r)); # mm3 = r[i]
+ &pmuludq("mm2","mm0"); # a[i] *= w
+ &lea($a,&DWP(4,$a));
+ &paddq("mm1","mm3"); # carry += r[i]
+ &paddq("mm1","mm2"); # carry += a[i]*w
+ &movd(&DWP(0,$r),"mm1"); # r[i] = carry_low
+ &sub($c,1);
+ &psrlq("mm1",32); # carry = carry_high
+ &lea($r,&DWP(4,$r));
+ &jnz(&label("maw_sse2_loop"));
+ &set_label("maw_sse2_exit");
+ &movd("eax","mm1"); # c = carry_out
+ &emms();
+ &ret();
+
+ &set_label("maw_non_sse2",16);
+ }
+
+ # function_begin prologue
+ &push("ebp");
+ &push("ebx");
+ &push("esi");
+ &push("edi");
+
+ &comment("");
+ $Low="eax";
+ $High="edx";
+ $a="ebx";
+ $w="ebp";
+ $r="edi";
+ $c="esi";
+
+ &xor($c,$c); # clear carry
+ &mov($r,&wparam(0)); #
+
+ &mov("ecx",&wparam(2)); #
+ &mov($a,&wparam(1)); #
+
+ &and("ecx",0xfffffff8); # num / 8
+ &mov($w,&wparam(3)); #
+
+ &push("ecx"); # Up the stack for a tmp variable
+
+ &jz(&label("maw_finish"));
+
+ &set_label("maw_loop",16);
+
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+
+ &mov("eax",&DWP($i,$a)); # *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+= c
+ &adc("edx",0); # H(t)+=carry
+ &add("eax",&DWP($i,$r)); # L(t)+= *r
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i,$r),"eax"); # *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ }
+
+ &comment("");
+ &sub("ecx",8);
+ &lea($a,&DWP(32,$a));
+ &lea($r,&DWP(32,$r));
+ &jnz(&label("maw_loop"));
+
+ &set_label("maw_finish",0);
+ &mov("ecx",&wparam(2)); # get num
+ &and("ecx",7);
+ &jnz(&label("maw_finish2")); # helps branch prediction
+ &jmp(&label("maw_end"));
+
+ &set_label("maw_finish2",1);
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a)); # *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ &adc("edx",0); # H(t)+=carry
+ &add("eax",&DWP($i*4,$r)); # L(t)+= *r
+ &adc("edx",0); # H(t)+=carry
+ &dec("ecx") if ($i != 7-1);
+ &mov(&DWP($i*4,$r),"eax"); # *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ &jz(&label("maw_end")) if ($i != 7-1);
+ }
+ &set_label("maw_end",0);
+ &mov("eax",$c);
+
+ &pop("ecx"); # clear variable from
+
+ &function_end($name);
+ }
+
+sub bn_mul_words
+ {
+ local($name)=@_;
+
+ &function_begin_B($name,$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":"");
+
+ $r="eax";
+ $a="edx";
+ $c="ecx";
+
+ if ($sse2) {
+ &picmeup("eax","OPENSSL_ia32cap_P");
+ &bt(&DWP(0,"eax"),26);
+ &jnc(&label("mw_non_sse2"));
+
+ &mov($r,&wparam(0));
+ &mov($a,&wparam(1));
+ &mov($c,&wparam(2));
+ &movd("mm0",&wparam(3)); # mm0 = w
+ &pxor("mm1","mm1"); # mm1 = carry = 0
+
+ &set_label("mw_sse2_loop",16);
+ &movd("mm2",&DWP(0,$a)); # mm2 = a[i]
+ &pmuludq("mm2","mm0"); # a[i] *= w
+ &lea($a,&DWP(4,$a));
+ &paddq("mm1","mm2"); # carry += a[i]*w
+ &movd(&DWP(0,$r),"mm1"); # r[i] = carry_low
+ &sub($c,1);
+ &psrlq("mm1",32); # carry = carry_high
+ &lea($r,&DWP(4,$r));
+ &jnz(&label("mw_sse2_loop"));
+
+ &movd("eax","mm1"); # return carry
+ &emms();
+ &ret();
+ &set_label("mw_non_sse2",16);
+ }
+
+ # function_begin prologue
+ &push("ebp");
+ &push("ebx");
+ &push("esi");
+ &push("edi");
+
+ &comment("");
+ $Low="eax";
+ $High="edx";
+ $a="ebx";
+ $w="ecx";
+ $r="edi";
+ $c="esi";
+ $num="ebp";
+
+ &xor($c,$c); # clear carry
+ &mov($r,&wparam(0)); #
+ &mov($a,&wparam(1)); #
+ &mov($num,&wparam(2)); #
+ &mov($w,&wparam(3)); #
+
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("mw_finish"));
+
+ &set_label("mw_loop",0);
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+
+ &mov("eax",&DWP($i,$a,"",0)); # *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ # XXX
+
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i,$r,"",0),"eax"); # *r= L(t);
+
+ &mov($c,"edx"); # c= H(t);
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,32);
+ &sub($num,8);
+ &jz(&label("mw_finish"));
+ &jmp(&label("mw_loop"));
+
+ &set_label("mw_finish",0);
+ &mov($num,&wparam(2)); # get num
+ &and($num,7);
+ &jnz(&label("mw_finish2"));
+ &jmp(&label("mw_end"));
+
+ &set_label("mw_finish2",1);
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a,"",0));# *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ # XXX
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i*4,$r,"",0),"eax");# *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ &dec($num) if ($i != 7-1);
+ &jz(&label("mw_end")) if ($i != 7-1);
+ }
+ &set_label("mw_end",0);
+ &mov("eax",$c);
+
+ &function_end($name);
+ }
+
+sub bn_sqr_words
+ {
+ local($name)=@_;
+
+ &function_begin_B($name,$sse2?"EXTRN\t_OPENSSL_ia32cap_P:DWORD":"");
+
+ $r="eax";
+ $a="edx";
+ $c="ecx";
+
+ if ($sse2) {
+ &picmeup("eax","OPENSSL_ia32cap_P");
+ &bt(&DWP(0,"eax"),26);
+ &jnc(&label("sqr_non_sse2"));
+
+ &mov($r,&wparam(0));
+ &mov($a,&wparam(1));
+ &mov($c,&wparam(2));
+
+ &set_label("sqr_sse2_loop",16);
+ &movd("mm0",&DWP(0,$a)); # mm0 = a[i]
+ &pmuludq("mm0","mm0"); # a[i] *= a[i]
+ &lea($a,&DWP(4,$a)); # a++
+ &movq(&QWP(0,$r),"mm0"); # r[i] = a[i]*a[i]
+ &sub($c,1);
+ &lea($r,&DWP(8,$r)); # r += 2
+ &jnz(&label("sqr_sse2_loop"));
+
+ &emms();
+ &ret();
+ &set_label("sqr_non_sse2",16);
+ }
+
+ # function_begin prologue
+ &push("ebp");
+ &push("ebx");
+ &push("esi");
+ &push("edi");
+
+ &comment("");
+ $r="esi";
+ $a="edi";
+ $num="ebx";
+
+ &mov($r,&wparam(0)); #
+ &mov($a,&wparam(1)); #
+ &mov($num,&wparam(2)); #
+
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("sw_finish"));
+
+ &set_label("sw_loop",0);
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+ &mov("eax",&DWP($i,$a,"",0)); # *a
+ # XXX
+ &mul("eax"); # *a * *a
+ &mov(&DWP($i*2,$r,"",0),"eax"); #
+ &mov(&DWP($i*2+4,$r,"",0),"edx");#
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,64);
+ &sub($num,8);
+ &jnz(&label("sw_loop"));
+
+ &set_label("sw_finish",0);
+ &mov($num,&wparam(2)); # get num
+ &and($num,7);
+ &jz(&label("sw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a,"",0)); # *a
+ # XXX
+ &mul("eax"); # *a * *a
+ &mov(&DWP($i*8,$r,"",0),"eax"); #
+ &dec($num) if ($i != 7-1);
+ &mov(&DWP($i*8+4,$r,"",0),"edx");
+ &jz(&label("sw_end")) if ($i != 7-1);
+ }
+ &set_label("sw_end",0);
+
+ &function_end($name);
+ }
+
+sub bn_div_words
+ {
+ local($name)=@_;
+
+ &function_begin_B($name,"");
+ &mov("edx",&wparam(0)); #
+ &mov("eax",&wparam(1)); #
+ &mov("ecx",&wparam(2)); #
+ &div("ecx");
+ &ret();
+ &function_end_B($name);
+ }
+
+sub bn_add_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $a="esi";
+ $b="edi";
+ $c="eax";
+ $r="ebx";
+ $tmp1="ecx";
+ $tmp2="edx";
+ $num="ebp";
+
+ &mov($r,&wparam(0)); # get r
+ &mov($a,&wparam(1)); # get a
+ &mov($b,&wparam(2)); # get b
+ &mov($num,&wparam(3)); # get num
+ &xor($c,$c); # clear carry
+ &and($num,0xfffffff8); # num / 8
+
+ &jz(&label("aw_finish"));
+
+ &set_label("aw_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &add($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &add($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("aw_loop"));
+
+ &set_label("aw_finish",0);
+ &mov($num,&wparam(3)); # get num
+ &and($num,7);
+ &jz(&label("aw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0));# *b
+ &add($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &add($tmp1,$tmp2);
+ &adc($c,0);
+ &dec($num) if ($i != 6);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &jz(&label("aw_end")) if ($i != 6);
+ }
+ &set_label("aw_end",0);
+
+# &mov("eax",$c); # $c is "eax"
+
+ &function_end($name);
+ }
+
+sub bn_sub_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $a="esi";
+ $b="edi";
+ $c="eax";
+ $r="ebx";
+ $tmp1="ecx";
+ $tmp2="edx";
+ $num="ebp";
+
+ &mov($r,&wparam(0)); # get r
+ &mov($a,&wparam(1)); # get a
+ &mov($b,&wparam(2)); # get b
+ &mov($num,&wparam(3)); # get num
+ &xor($c,$c); # clear carry
+ &and($num,0xfffffff8); # num / 8
+
+ &jz(&label("aw_finish"));
+
+ &set_label("aw_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("aw_loop"));
+
+ &set_label("aw_finish",0);
+ &mov($num,&wparam(3)); # get num
+ &and($num,7);
+ &jz(&label("aw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0));# *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &dec($num) if ($i != 6);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &jz(&label("aw_end")) if ($i != 6);
+ }
+ &set_label("aw_end",0);
+
+# &mov("eax",$c); # $c is "eax"
+
+ &function_end($name);
+ }
+
+sub bn_sub_part_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $a="esi";
+ $b="edi";
+ $c="eax";
+ $r="ebx";
+ $tmp1="ecx";
+ $tmp2="edx";
+ $num="ebp";
+
+ &mov($r,&wparam(0)); # get r
+ &mov($a,&wparam(1)); # get a
+ &mov($b,&wparam(2)); # get b
+ &mov($num,&wparam(3)); # get num
+ &xor($c,$c); # clear carry
+ &and($num,0xfffffff8); # num / 8
+
+ &jz(&label("aw_finish"));
+
+ &set_label("aw_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("aw_loop"));
+
+ &set_label("aw_finish",0);
+ &mov($num,&wparam(3)); # get num
+ &and($num,7);
+ &jz(&label("aw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov($tmp1,&DWP(0,$a,"",0)); # *a
+ &mov($tmp2,&DWP(0,$b,"",0));# *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP(0,$r,"",0),$tmp1); # *r
+ &add($a, 4);
+ &add($b, 4);
+ &add($r, 4);
+ &dec($num) if ($i != 6);
+ &jz(&label("aw_end")) if ($i != 6);
+ }
+ &set_label("aw_end",0);
+
+ &cmp(&wparam(4),0);
+ &je(&label("pw_end"));
+
+ &mov($num,&wparam(4)); # get dl
+ &cmp($num,0);
+ &je(&label("pw_end"));
+ &jge(&label("pw_pos"));
+
+ &comment("pw_neg");
+ &mov($tmp2,0);
+ &sub($tmp2,$num);
+ &mov($num,$tmp2);
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("pw_neg_finish"));
+
+ &set_label("pw_neg_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("dl<0 Round $i");
+
+ &mov($tmp1,0);
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("pw_neg_loop"));
+
+ &set_label("pw_neg_finish",0);
+ &mov($tmp2,&wparam(4)); # get dl
+ &mov($num,0);
+ &sub($num,$tmp2);
+ &and($num,7);
+ &jz(&label("pw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("dl<0 Tail Round $i");
+ &mov($tmp1,0);
+ &mov($tmp2,&DWP($i*4,$b,"",0));# *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &dec($num) if ($i != 6);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &jz(&label("pw_end")) if ($i != 6);
+ }
+
+ &jmp(&label("pw_end"));
+
+ &set_label("pw_pos",0);
+
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("pw_pos_finish"));
+
+ &set_label("pw_pos_loop",0);
+
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("dl>0 Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &sub($tmp1,$c);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &jnc(&label("pw_nc".$i));
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("pw_pos_loop"));
+
+ &set_label("pw_pos_finish",0);
+ &mov($num,&wparam(4)); # get dl
+ &and($num,7);
+ &jz(&label("pw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("dl>0 Tail Round $i");
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &sub($tmp1,$c);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &jnc(&label("pw_tail_nc".$i));
+ &dec($num) if ($i != 6);
+ &jz(&label("pw_end")) if ($i != 6);
+ }
+ &mov($c,1);
+ &jmp(&label("pw_end"));
+
+ &set_label("pw_nc_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &set_label("pw_nc".$i,0);
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("pw_nc_loop"));
+
+ &mov($num,&wparam(4)); # get dl
+ &and($num,7);
+ &jz(&label("pw_nc_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ &set_label("pw_tail_nc".$i,0);
+ &dec($num) if ($i != 6);
+ &jz(&label("pw_nc_end")) if ($i != 6);
+ }
+
+ &set_label("pw_nc_end",0);
+ &mov($c,0);
+
+ &set_label("pw_end",0);
+
+# &mov("eax",$c); # $c is "eax"
+
+ &function_end($name);
+ }
+
diff --git a/openssl/crypto/bn/asm/co-586.pl b/openssl/crypto/bn/asm/co-586.pl
new file mode 100644
index 00000000..57101a6b
--- /dev/null
+++ b/openssl/crypto/bn/asm/co-586.pl
@@ -0,0 +1,287 @@
+#!/usr/local/bin/perl
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
+require "x86asm.pl";
+
+&asm_init($ARGV[0],$0);
+
+&bn_mul_comba("bn_mul_comba8",8);
+&bn_mul_comba("bn_mul_comba4",4);
+&bn_sqr_comba("bn_sqr_comba8",8);
+&bn_sqr_comba("bn_sqr_comba4",4);
+
+&asm_finish();
+
+sub mul_add_c
+ {
+ local($a,$ai,$b,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("mul a[$ai]*b[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$b,"",0));
+
+ &mul("edx");
+ &add($c0,"eax");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # laod next a
+ &mov("eax",&wparam(0)) if $pos > 0; # load r[]
+ ###
+ &adc($c1,"edx");
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 0; # laod next b
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 1; # laod next b
+ ###
+ &adc($c2,0);
+ # is pos > 1, it means it is the last loop
+ &mov(&DWP($i*4,"eax","",0),$c0) if $pos > 0; # save r[];
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # laod next a
+ }
+
+sub sqr_add_c
+ {
+ local($r,$a,$ai,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("sqr a[$ai]*a[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$b,"",0));
+
+ if ($ai == $bi)
+ { &mul("eax");}
+ else
+ { &mul("edx");}
+ &add($c0,"eax");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # load next a
+ ###
+ &adc($c1,"edx");
+ &mov("edx",&DWP(($nb)*4,$a,"",0)) if ($pos == 1) && ($na != $nb);
+ ###
+ &adc($c2,0);
+ # is pos > 1, it means it is the last loop
+ &mov(&DWP($i*4,$r,"",0),$c0) if $pos > 0; # save r[];
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # load next b
+ }
+
+sub sqr_add_c2
+ {
+ local($r,$a,$ai,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("sqr a[$ai]*a[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$a,"",0));
+
+ if ($ai == $bi)
+ { &mul("eax");}
+ else
+ { &mul("edx");}
+ &add("eax","eax");
+ ###
+ &adc("edx","edx");
+ ###
+ &adc($c2,0);
+ &add($c0,"eax");
+ &adc($c1,"edx");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # load next a
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # load next b
+ &adc($c2,0);
+ &mov(&DWP($i*4,$r,"",0),$c0) if $pos > 0; # save r[];
+ &mov("edx",&DWP(($nb)*4,$a,"",0)) if ($pos <= 1) && ($na != $nb);
+ ###
+ }
+
+sub bn_mul_comba
+ {
+ local($name,$num)=@_;
+ local($a,$b,$c0,$c1,$c2);
+ local($i,$as,$ae,$bs,$be,$ai,$bi);
+ local($tot,$end);
+
+ &function_begin_B($name,"");
+
+ $c0="ebx";
+ $c1="ecx";
+ $c2="ebp";
+ $a="esi";
+ $b="edi";
+
+ $as=0;
+ $ae=0;
+ $bs=0;
+ $be=0;
+ $tot=$num+$num-1;
+
+ &push("esi");
+ &mov($a,&wparam(1));
+ &push("edi");
+ &mov($b,&wparam(2));
+ &push("ebp");
+ &push("ebx");
+
+ &xor($c0,$c0);
+ &mov("eax",&DWP(0,$a,"",0)); # load the first word
+ &xor($c1,$c1);
+ &mov("edx",&DWP(0,$b,"",0)); # load the first second
+
+ for ($i=0; $i<$tot; $i++)
+ {
+ $ai=$as;
+ $bi=$bs;
+ $end=$be+1;
+
+ &comment("################## Calculate word $i");
+
+ for ($j=$bs; $j<$end; $j++)
+ {
+ &xor($c2,$c2) if ($j == $bs);
+ if (($j+1) == $end)
+ {
+ $v=1;
+ $v=2 if (($i+1) == $tot);
+ }
+ else
+ { $v=0; }
+ if (($j+1) != $end)
+ {
+ $na=($ai-1);
+ $nb=($bi+1);
+ }
+ else
+ {
+ $na=$as+($i < ($num-1));
+ $nb=$bs+($i >= ($num-1));
+ }
+#printf STDERR "[$ai,$bi] -> [$na,$nb]\n";
+ &mul_add_c($a,$ai,$b,$bi,$c0,$c1,$c2,$v,$i,$na,$nb);
+ if ($v)
+ {
+ &comment("saved r[$i]");
+ # &mov("eax",&wparam(0));
+ # &mov(&DWP($i*4,"eax","",0),$c0);
+ ($c0,$c1,$c2)=($c1,$c2,$c0);
+ }
+ $ai--;
+ $bi++;
+ }
+ $as++ if ($i < ($num-1));
+ $ae++ if ($i >= ($num-1));
+
+ $bs++ if ($i >= ($num-1));
+ $be++ if ($i < ($num-1));
+ }
+ &comment("save r[$i]");
+ # &mov("eax",&wparam(0));
+ &mov(&DWP($i*4,"eax","",0),$c0);
+
+ &pop("ebx");
+ &pop("ebp");
+ &pop("edi");
+ &pop("esi");
+ &ret();
+ &function_end_B($name);
+ }
+
+sub bn_sqr_comba
+ {
+ local($name,$num)=@_;
+ local($r,$a,$c0,$c1,$c2)=@_;
+ local($i,$as,$ae,$bs,$be,$ai,$bi);
+ local($b,$tot,$end,$half);
+
+ &function_begin_B($name,"");
+
+ $c0="ebx";
+ $c1="ecx";
+ $c2="ebp";
+ $a="esi";
+ $r="edi";
+
+ &push("esi");
+ &push("edi");
+ &push("ebp");
+ &push("ebx");
+ &mov($r,&wparam(0));
+ &mov($a,&wparam(1));
+ &xor($c0,$c0);
+ &xor($c1,$c1);
+ &mov("eax",&DWP(0,$a,"",0)); # load the first word
+
+ $as=0;
+ $ae=0;
+ $bs=0;
+ $be=0;
+ $tot=$num+$num-1;
+
+ for ($i=0; $i<$tot; $i++)
+ {
+ $ai=$as;
+ $bi=$bs;
+ $end=$be+1;
+
+ &comment("############### Calculate word $i");
+ for ($j=$bs; $j<$end; $j++)
+ {
+ &xor($c2,$c2) if ($j == $bs);
+ if (($ai-1) < ($bi+1))
+ {
+ $v=1;
+ $v=2 if ($i+1) == $tot;
+ }
+ else
+ { $v=0; }
+ if (!$v)
+ {
+ $na=$ai-1;
+ $nb=$bi+1;
+ }
+ else
+ {
+ $na=$as+($i < ($num-1));
+ $nb=$bs+($i >= ($num-1));
+ }
+ if ($ai == $bi)
+ {
+ &sqr_add_c($r,$a,$ai,$bi,
+ $c0,$c1,$c2,$v,$i,$na,$nb);
+ }
+ else
+ {
+ &sqr_add_c2($r,$a,$ai,$bi,
+ $c0,$c1,$c2,$v,$i,$na,$nb);
+ }
+ if ($v)
+ {
+ &comment("saved r[$i]");
+ #&mov(&DWP($i*4,$r,"",0),$c0);
+ ($c0,$c1,$c2)=($c1,$c2,$c0);
+ last;
+ }
+ $ai--;
+ $bi++;
+ }
+ $as++ if ($i < ($num-1));
+ $ae++ if ($i >= ($num-1));
+
+ $bs++ if ($i >= ($num-1));
+ $be++ if ($i < ($num-1));
+ }
+ &mov(&DWP($i*4,$r,"",0),$c0);
+ &pop("ebx");
+ &pop("ebp");
+ &pop("edi");
+ &pop("esi");
+ &ret();
+ &function_end_B($name);
+ }
diff --git a/openssl/crypto/bn/asm/ia64.S b/openssl/crypto/bn/asm/ia64.S
new file mode 100644
index 00000000..951abc53
--- /dev/null
+++ b/openssl/crypto/bn/asm/ia64.S
@@ -0,0 +1,1555 @@
+.explicit
+.text
+.ident "ia64.S, Version 2.1"
+.ident "IA-64 ISA artwork by Andy Polyakov <appro@fy.chalmers.se>"
+
+//
+// ====================================================================
+// Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+// project.
+//
+// Rights for redistribution and usage in source and binary forms are
+// granted according to the OpenSSL license. Warranty of any kind is
+// disclaimed.
+// ====================================================================
+//
+// Version 2.x is Itanium2 re-tune. Few words about how Itanum2 is
+// different from Itanium to this module viewpoint. Most notably, is it
+// "wider" than Itanium? Can you experience loop scalability as
+// discussed in commentary sections? Not really:-( Itanium2 has 6
+// integer ALU ports, i.e. it's 2 ports wider, but it's not enough to
+// spin twice as fast, as I need 8 IALU ports. Amount of floating point
+// ports is the same, i.e. 2, while I need 4. In other words, to this
+// module Itanium2 remains effectively as "wide" as Itanium. Yet it's
+// essentially different in respect to this module, and a re-tune was
+// required. Well, because some intruction latencies has changed. Most
+// noticeably those intensively used:
+//
+// Itanium Itanium2
+// ldf8 9 6 L2 hit
+// ld8 2 1 L1 hit
+// getf 2 5
+// xma[->getf] 7[+1] 4[+0]
+// add[->st8] 1[+1] 1[+0]
+//
+// What does it mean? You might ratiocinate that the original code
+// should run just faster... Because sum of latencies is smaller...
+// Wrong! Note that getf latency increased. This means that if a loop is
+// scheduled for lower latency (as they were), then it will suffer from
+// stall condition and the code will therefore turn anti-scalable, e.g.
+// original bn_mul_words spun at 5*n or 2.5 times slower than expected
+// on Itanium2! What to do? Reschedule loops for Itanium2? But then
+// Itanium would exhibit anti-scalability. So I've chosen to reschedule
+// for worst latency for every instruction aiming for best *all-round*
+// performance.
+
+// Q. How much faster does it get?
+// A. Here is the output from 'openssl speed rsa dsa' for vanilla
+// 0.9.6a compiled with gcc version 2.96 20000731 (Red Hat
+// Linux 7.1 2.96-81):
+//
+// sign verify sign/s verify/s
+// rsa 512 bits 0.0036s 0.0003s 275.3 2999.2
+// rsa 1024 bits 0.0203s 0.0011s 49.3 894.1
+// rsa 2048 bits 0.1331s 0.0040s 7.5 250.9
+// rsa 4096 bits 0.9270s 0.0147s 1.1 68.1
+// sign verify sign/s verify/s
+// dsa 512 bits 0.0035s 0.0043s 288.3 234.8
+// dsa 1024 bits 0.0111s 0.0135s 90.0 74.2
+//
+// And here is similar output but for this assembler
+// implementation:-)
+//
+// sign verify sign/s verify/s
+// rsa 512 bits 0.0021s 0.0001s 549.4 9638.5
+// rsa 1024 bits 0.0055s 0.0002s 183.8 4481.1
+// rsa 2048 bits 0.0244s 0.0006s 41.4 1726.3
+// rsa 4096 bits 0.1295s 0.0018s 7.7 561.5
+// sign verify sign/s verify/s
+// dsa 512 bits 0.0012s 0.0013s 891.9 756.6
+// dsa 1024 bits 0.0023s 0.0028s 440.4 376.2
+//
+// Yes, you may argue that it's not fair comparison as it's
+// possible to craft the C implementation with BN_UMULT_HIGH
+// inline assembler macro. But of course! Here is the output
+// with the macro:
+//
+// sign verify sign/s verify/s
+// rsa 512 bits 0.0020s 0.0002s 495.0 6561.0
+// rsa 1024 bits 0.0086s 0.0004s 116.2 2235.7
+// rsa 2048 bits 0.0519s 0.0015s 19.3 667.3
+// rsa 4096 bits 0.3464s 0.0053s 2.9 187.7
+// sign verify sign/s verify/s
+// dsa 512 bits 0.0016s 0.0020s 613.1 510.5
+// dsa 1024 bits 0.0045s 0.0054s 221.0 183.9
+//
+// My code is still way faster, huh:-) And I believe that even
+// higher performance can be achieved. Note that as keys get
+// longer, performance gain is larger. Why? According to the
+// profiler there is another player in the field, namely
+// BN_from_montgomery consuming larger and larger portion of CPU
+// time as keysize decreases. I therefore consider putting effort
+// to assembler implementation of the following routine:
+//
+// void bn_mul_add_mont (BN_ULONG *rp,BN_ULONG *np,int nl,BN_ULONG n0)
+// {
+// int i,j;
+// BN_ULONG v;
+//
+// for (i=0; i<nl; i++)
+// {
+// v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
+// nrp++;
+// rp++;
+// if (((nrp[-1]+=v)&BN_MASK2) < v)
+// for (j=0; ((++nrp[j])&BN_MASK2) == 0; j++) ;
+// }
+// }
+//
+// It might as well be beneficial to implement even combaX
+// variants, as it appears as it can literally unleash the
+// performance (see comment section to bn_mul_comba8 below).
+//
+// And finally for your reference the output for 0.9.6a compiled
+// with SGIcc version 0.01.0-12 (keep in mind that for the moment
+// of this writing it's not possible to convince SGIcc to use
+// BN_UMULT_HIGH inline assembler macro, yet the code is fast,
+// i.e. for a compiler generated one:-):
+//
+// sign verify sign/s verify/s
+// rsa 512 bits 0.0022s 0.0002s 452.7 5894.3
+// rsa 1024 bits 0.0097s 0.0005s 102.7 2002.9
+// rsa 2048 bits 0.0578s 0.0017s 17.3 600.2
+// rsa 4096 bits 0.3838s 0.0061s 2.6 164.5
+// sign verify sign/s verify/s
+// dsa 512 bits 0.0018s 0.0022s 547.3 459.6
+// dsa 1024 bits 0.0051s 0.0062s 196.6 161.3
+//
+// Oh! Benchmarks were performed on 733MHz Lion-class Itanium
+// system running Redhat Linux 7.1 (very special thanks to Ray
+// McCaffity of Williams Communications for providing an account).
+//
+// Q. What's the heck with 'rum 1<<5' at the end of every function?
+// A. Well, by clearing the "upper FP registers written" bit of the
+// User Mask I want to excuse the kernel from preserving upper
+// (f32-f128) FP register bank over process context switch, thus
+// minimizing bus bandwidth consumption during the switch (i.e.
+// after PKI opration completes and the program is off doing
+// something else like bulk symmetric encryption). Having said
+// this, I also want to point out that it might be good idea
+// to compile the whole toolkit (as well as majority of the
+// programs for that matter) with -mfixed-range=f32-f127 command
+// line option. No, it doesn't prevent the compiler from writing
+// to upper bank, but at least discourages to do so. If you don't
+// like the idea you have the option to compile the module with
+// -Drum=nop.m in command line.
+//
+
+#if defined(_HPUX_SOURCE) && !defined(_LP64)
+#define ADDP addp4
+#else
+#define ADDP add
+#endif
+
+#if 1
+//
+// bn_[add|sub]_words routines.
+//
+// Loops are spinning in 2*(n+5) ticks on Itanuim (provided that the
+// data reside in L1 cache, i.e. 2 ticks away). It's possible to
+// compress the epilogue and get down to 2*n+6, but at the cost of
+// scalability (the neat feature of this implementation is that it
+// shall automagically spin in n+5 on "wider" IA-64 implementations:-)
+// I consider that the epilogue is short enough as it is to trade tiny
+// performance loss on Itanium for scalability.
+//
+// BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num)
+//
+.global bn_add_words#
+.proc bn_add_words#
+.align 64
+.skip 32 // makes the loop body aligned at 64-byte boundary
+bn_add_words:
+ .prologue
+ .save ar.pfs,r2
+{ .mii; alloc r2=ar.pfs,4,12,0,16
+ cmp4.le p6,p0=r35,r0 };;
+{ .mfb; mov r8=r0 // return value
+(p6) br.ret.spnt.many b0 };;
+
+{ .mib; sub r10=r35,r0,1
+ .save ar.lc,r3
+ mov r3=ar.lc
+ brp.loop.imp .L_bn_add_words_ctop,.L_bn_add_words_cend-16
+ }
+{ .mib; ADDP r14=0,r32 // rp
+ .save pr,r9
+ mov r9=pr };;
+ .body
+{ .mii; ADDP r15=0,r33 // ap
+ mov ar.lc=r10
+ mov ar.ec=6 }
+{ .mib; ADDP r16=0,r34 // bp
+ mov pr.rot=1<<16 };;
+
+.L_bn_add_words_ctop:
+{ .mii; (p16) ld8 r32=[r16],8 // b=*(bp++)
+ (p18) add r39=r37,r34
+ (p19) cmp.ltu.unc p56,p0=r40,r38 }
+{ .mfb; (p0) nop.m 0x0
+ (p0) nop.f 0x0
+ (p0) nop.b 0x0 }
+{ .mii; (p16) ld8 r35=[r15],8 // a=*(ap++)
+ (p58) cmp.eq.or p57,p0=-1,r41 // (p20)
+ (p58) add r41=1,r41 } // (p20)
+{ .mfb; (p21) st8 [r14]=r42,8 // *(rp++)=r
+ (p0) nop.f 0x0
+ br.ctop.sptk .L_bn_add_words_ctop };;
+.L_bn_add_words_cend:
+
+{ .mii;
+(p59) add r8=1,r8 // return value
+ mov pr=r9,0x1ffff
+ mov ar.lc=r3 }
+{ .mbb; nop.b 0x0
+ br.ret.sptk.many b0 };;
+.endp bn_add_words#
+
+//
+// BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num)
+//
+.global bn_sub_words#
+.proc bn_sub_words#
+.align 64
+.skip 32 // makes the loop body aligned at 64-byte boundary
+bn_sub_words:
+ .prologue
+ .save ar.pfs,r2
+{ .mii; alloc r2=ar.pfs,4,12,0,16
+ cmp4.le p6,p0=r35,r0 };;
+{ .mfb; mov r8=r0 // return value
+(p6) br.ret.spnt.many b0 };;
+
+{ .mib; sub r10=r35,r0,1
+ .save ar.lc,r3
+ mov r3=ar.lc
+ brp.loop.imp .L_bn_sub_words_ctop,.L_bn_sub_words_cend-16
+ }
+{ .mib; ADDP r14=0,r32 // rp
+ .save pr,r9
+ mov r9=pr };;
+ .body
+{ .mii; ADDP r15=0,r33 // ap
+ mov ar.lc=r10
+ mov ar.ec=6 }
+{ .mib; ADDP r16=0,r34 // bp
+ mov pr.rot=1<<16 };;
+
+.L_bn_sub_words_ctop:
+{ .mii; (p16) ld8 r32=[r16],8 // b=*(bp++)
+ (p18) sub r39=r37,r34
+ (p19) cmp.gtu.unc p56,p0=r40,r38 }
+{ .mfb; (p0) nop.m 0x0
+ (p0) nop.f 0x0
+ (p0) nop.b 0x0 }
+{ .mii; (p16) ld8 r35=[r15],8 // a=*(ap++)
+ (p58) cmp.eq.or p57,p0=0,r41 // (p20)
+ (p58) add r41=-1,r41 } // (p20)
+{ .mbb; (p21) st8 [r14]=r42,8 // *(rp++)=r
+ (p0) nop.b 0x0
+ br.ctop.sptk .L_bn_sub_words_ctop };;
+.L_bn_sub_words_cend:
+
+{ .mii;
+(p59) add r8=1,r8 // return value
+ mov pr=r9,0x1ffff
+ mov ar.lc=r3 }
+{ .mbb; nop.b 0x0
+ br.ret.sptk.many b0 };;
+.endp bn_sub_words#
+#endif
+
+#if 0
+#define XMA_TEMPTATION
+#endif
+
+#if 1
+//
+// BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+//
+.global bn_mul_words#
+.proc bn_mul_words#
+.align 64
+.skip 32 // makes the loop body aligned at 64-byte boundary
+bn_mul_words:
+ .prologue
+ .save ar.pfs,r2
+#ifdef XMA_TEMPTATION
+{ .mfi; alloc r2=ar.pfs,4,0,0,0 };;
+#else
+{ .mfi; alloc r2=ar.pfs,4,12,0,16 };;
+#endif
+{ .mib; mov r8=r0 // return value
+ cmp4.le p6,p0=r34,r0
+(p6) br.ret.spnt.many b0 };;
+
+{ .mii; sub r10=r34,r0,1
+ .save ar.lc,r3
+ mov r3=ar.lc
+ .save pr,r9
+ mov r9=pr };;
+
+ .body
+{ .mib; setf.sig f8=r35 // w
+ mov pr.rot=0x800001<<16
+ // ------^----- serves as (p50) at first (p27)
+ brp.loop.imp .L_bn_mul_words_ctop,.L_bn_mul_words_cend-16
+ }
+
+#ifndef XMA_TEMPTATION
+
+{ .mmi; ADDP r14=0,r32 // rp
+ ADDP r15=0,r33 // ap
+ mov ar.lc=r10 }
+{ .mmi; mov r40=0 // serves as r35 at first (p27)
+ mov ar.ec=13 };;
+
+// This loop spins in 2*(n+12) ticks. It's scheduled for data in Itanium
+// L2 cache (i.e. 9 ticks away) as floating point load/store instructions
+// bypass L1 cache and L2 latency is actually best-case scenario for
+// ldf8. The loop is not scalable and shall run in 2*(n+12) even on
+// "wider" IA-64 implementations. It's a trade-off here. n+24 loop
+// would give us ~5% in *overall* performance improvement on "wider"
+// IA-64, but would hurt Itanium for about same because of longer
+// epilogue. As it's a matter of few percents in either case I've
+// chosen to trade the scalability for development time (you can see
+// this very instruction sequence in bn_mul_add_words loop which in
+// turn is scalable).
+.L_bn_mul_words_ctop:
+{ .mfi; (p25) getf.sig r36=f52 // low
+ (p21) xmpy.lu f48=f37,f8
+ (p28) cmp.ltu p54,p50=r41,r39 }
+{ .mfi; (p16) ldf8 f32=[r15],8
+ (p21) xmpy.hu f40=f37,f8
+ (p0) nop.i 0x0 };;
+{ .mii; (p25) getf.sig r32=f44 // high
+ .pred.rel "mutex",p50,p54
+ (p50) add r40=r38,r35 // (p27)
+ (p54) add r40=r38,r35,1 } // (p27)
+{ .mfb; (p28) st8 [r14]=r41,8
+ (p0) nop.f 0x0
+ br.ctop.sptk .L_bn_mul_words_ctop };;
+.L_bn_mul_words_cend:
+
+{ .mii; nop.m 0x0
+.pred.rel "mutex",p51,p55
+(p51) add r8=r36,r0
+(p55) add r8=r36,r0,1 }
+{ .mfb; nop.m 0x0
+ nop.f 0x0
+ nop.b 0x0 }
+
+#else // XMA_TEMPTATION
+
+ setf.sig f37=r0 // serves as carry at (p18) tick
+ mov ar.lc=r10
+ mov ar.ec=5;;
+
+// Most of you examining this code very likely wonder why in the name
+// of Intel the following loop is commented out? Indeed, it looks so
+// neat that you find it hard to believe that it's something wrong
+// with it, right? The catch is that every iteration depends on the
+// result from previous one and the latter isn't available instantly.
+// The loop therefore spins at the latency of xma minus 1, or in other
+// words at 6*(n+4) ticks:-( Compare to the "production" loop above
+// that runs in 2*(n+11) where the low latency problem is worked around
+// by moving the dependency to one-tick latent interger ALU. Note that
+// "distance" between ldf8 and xma is not latency of ldf8, but the
+// *difference* between xma and ldf8 latencies.
+.L_bn_mul_words_ctop:
+{ .mfi; (p16) ldf8 f32=[r33],8
+ (p18) xma.hu f38=f34,f8,f39 }
+{ .mfb; (p20) stf8 [r32]=f37,8
+ (p18) xma.lu f35=f34,f8,f39
+ br.ctop.sptk .L_bn_mul_words_ctop };;
+.L_bn_mul_words_cend:
+
+ getf.sig r8=f41 // the return value
+
+#endif // XMA_TEMPTATION
+
+{ .mii; nop.m 0x0
+ mov pr=r9,0x1ffff
+ mov ar.lc=r3 }
+{ .mfb; rum 1<<5 // clear um.mfh
+ nop.f 0x0
+ br.ret.sptk.many b0 };;
+.endp bn_mul_words#
+#endif
+
+#if 1
+//
+// BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+//
+.global bn_mul_add_words#
+.proc bn_mul_add_words#
+.align 64
+.skip 48 // makes the loop body aligned at 64-byte boundary
+bn_mul_add_words:
+ .prologue
+ .save ar.pfs,r2
+{ .mmi; alloc r2=ar.pfs,4,4,0,8
+ cmp4.le p6,p0=r34,r0
+ .save ar.lc,r3
+ mov r3=ar.lc };;
+{ .mib; mov r8=r0 // return value
+ sub r10=r34,r0,1
+(p6) br.ret.spnt.many b0 };;
+
+{ .mib; setf.sig f8=r35 // w
+ .save pr,r9
+ mov r9=pr
+ brp.loop.imp .L_bn_mul_add_words_ctop,.L_bn_mul_add_words_cend-16
+ }
+ .body
+{ .mmi; ADDP r14=0,r32 // rp
+ ADDP r15=0,r33 // ap
+ mov ar.lc=r10 }
+{ .mii; ADDP r16=0,r32 // rp copy
+ mov pr.rot=0x2001<<16
+ // ------^----- serves as (p40) at first (p27)
+ mov ar.ec=11 };;
+
+// This loop spins in 3*(n+10) ticks on Itanium and in 2*(n+10) on
+// Itanium 2. Yes, unlike previous versions it scales:-) Previous
+// version was peforming *all* additions in IALU and was starving
+// for those even on Itanium 2. In this version one addition is
+// moved to FPU and is folded with multiplication. This is at cost
+// of propogating the result from previous call to this subroutine
+// to L2 cache... In other words negligible even for shorter keys.
+// *Overall* performance improvement [over previous version] varies
+// from 11 to 22 percent depending on key length.
+.L_bn_mul_add_words_ctop:
+.pred.rel "mutex",p40,p42
+{ .mfi; (p23) getf.sig r36=f45 // low
+ (p20) xma.lu f42=f36,f8,f50 // low
+ (p40) add r39=r39,r35 } // (p27)
+{ .mfi; (p16) ldf8 f32=[r15],8 // *(ap++)
+ (p20) xma.hu f36=f36,f8,f50 // high
+ (p42) add r39=r39,r35,1 };; // (p27)
+{ .mmi; (p24) getf.sig r32=f40 // high
+ (p16) ldf8 f46=[r16],8 // *(rp1++)
+ (p40) cmp.ltu p41,p39=r39,r35 } // (p27)
+{ .mib; (p26) st8 [r14]=r39,8 // *(rp2++)
+ (p42) cmp.leu p41,p39=r39,r35 // (p27)
+ br.ctop.sptk .L_bn_mul_add_words_ctop};;
+.L_bn_mul_add_words_cend:
+
+{ .mmi; .pred.rel "mutex",p40,p42
+(p40) add r8=r35,r0
+(p42) add r8=r35,r0,1
+ mov pr=r9,0x1ffff }
+{ .mib; rum 1<<5 // clear um.mfh
+ mov ar.lc=r3
+ br.ret.sptk.many b0 };;
+.endp bn_mul_add_words#
+#endif
+
+#if 1
+//
+// void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num)
+//
+.global bn_sqr_words#
+.proc bn_sqr_words#
+.align 64
+.skip 32 // makes the loop body aligned at 64-byte boundary
+bn_sqr_words:
+ .prologue
+ .save ar.pfs,r2
+{ .mii; alloc r2=ar.pfs,3,0,0,0
+ sxt4 r34=r34 };;
+{ .mii; cmp.le p6,p0=r34,r0
+ mov r8=r0 } // return value
+{ .mfb; ADDP r32=0,r32
+ nop.f 0x0
+(p6) br.ret.spnt.many b0 };;
+
+{ .mii; sub r10=r34,r0,1
+ .save ar.lc,r3
+ mov r3=ar.lc
+ .save pr,r9
+ mov r9=pr };;
+
+ .body
+{ .mib; ADDP r33=0,r33
+ mov pr.rot=1<<16
+ brp.loop.imp .L_bn_sqr_words_ctop,.L_bn_sqr_words_cend-16
+ }
+{ .mii; add r34=8,r32
+ mov ar.lc=r10
+ mov ar.ec=18 };;
+
+// 2*(n+17) on Itanium, (n+17) on "wider" IA-64 implementations. It's
+// possible to compress the epilogue (I'm getting tired to write this
+// comment over and over) and get down to 2*n+16 at the cost of
+// scalability. The decision will very likely be reconsidered after the
+// benchmark program is profiled. I.e. if perfomance gain on Itanium
+// will appear larger than loss on "wider" IA-64, then the loop should
+// be explicitely split and the epilogue compressed.
+.L_bn_sqr_words_ctop:
+{ .mfi; (p16) ldf8 f32=[r33],8
+ (p25) xmpy.lu f42=f41,f41
+ (p0) nop.i 0x0 }
+{ .mib; (p33) stf8 [r32]=f50,16
+ (p0) nop.i 0x0
+ (p0) nop.b 0x0 }
+{ .mfi; (p0) nop.m 0x0
+ (p25) xmpy.hu f52=f41,f41
+ (p0) nop.i 0x0 }
+{ .mib; (p33) stf8 [r34]=f60,16
+ (p0) nop.i 0x0
+ br.ctop.sptk .L_bn_sqr_words_ctop };;
+.L_bn_sqr_words_cend:
+
+{ .mii; nop.m 0x0
+ mov pr=r9,0x1ffff
+ mov ar.lc=r3 }
+{ .mfb; rum 1<<5 // clear um.mfh
+ nop.f 0x0
+ br.ret.sptk.many b0 };;
+.endp bn_sqr_words#
+#endif
+
+#if 1
+// Apparently we win nothing by implementing special bn_sqr_comba8.
+// Yes, it is possible to reduce the number of multiplications by
+// almost factor of two, but then the amount of additions would
+// increase by factor of two (as we would have to perform those
+// otherwise performed by xma ourselves). Normally we would trade
+// anyway as multiplications are way more expensive, but not this
+// time... Multiplication kernel is fully pipelined and as we drain
+// one 128-bit multiplication result per clock cycle multiplications
+// are effectively as inexpensive as additions. Special implementation
+// might become of interest for "wider" IA-64 implementation as you'll
+// be able to get through the multiplication phase faster (there won't
+// be any stall issues as discussed in the commentary section below and
+// you therefore will be able to employ all 4 FP units)... But these
+// Itanium days it's simply too hard to justify the effort so I just
+// drop down to bn_mul_comba8 code:-)
+//
+// void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
+//
+.global bn_sqr_comba8#
+.proc bn_sqr_comba8#
+.align 64
+bn_sqr_comba8:
+ .prologue
+ .save ar.pfs,r2
+#if defined(_HPUX_SOURCE) && !defined(_LP64)
+{ .mii; alloc r2=ar.pfs,2,1,0,0
+ addp4 r33=0,r33
+ addp4 r32=0,r32 };;
+{ .mii;
+#else
+{ .mii; alloc r2=ar.pfs,2,1,0,0
+#endif
+ mov r34=r33
+ add r14=8,r33 };;
+ .body
+{ .mii; add r17=8,r34
+ add r15=16,r33
+ add r18=16,r34 }
+{ .mfb; add r16=24,r33
+ br .L_cheat_entry_point8 };;
+.endp bn_sqr_comba8#
+#endif
+
+#if 1
+// I've estimated this routine to run in ~120 ticks, but in reality
+// (i.e. according to ar.itc) it takes ~160 ticks. Are those extra
+// cycles consumed for instructions fetch? Or did I misinterpret some
+// clause in Itanium µ-architecture manual? Comments are welcomed and
+// highly appreciated.
+//
+// On Itanium 2 it takes ~190 ticks. This is because of stalls on
+// result from getf.sig. I do nothing about it at this point for
+// reasons depicted below.
+//
+// However! It should be noted that even 160 ticks is darn good result
+// as it's over 10 (yes, ten, spelled as t-e-n) times faster than the
+// C version (compiled with gcc with inline assembler). I really
+// kicked compiler's butt here, didn't I? Yeah! This brings us to the
+// following statement. It's damn shame that this routine isn't called
+// very often nowadays! According to the profiler most CPU time is
+// consumed by bn_mul_add_words called from BN_from_montgomery. In
+// order to estimate what we're missing, I've compared the performance
+// of this routine against "traditional" implementation, i.e. against
+// following routine:
+//
+// void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+// { r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
+// r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
+// r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
+// r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
+// r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
+// r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
+// r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
+// r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
+// }
+//
+// The one below is over 8 times faster than the one above:-( Even
+// more reasons to "combafy" bn_mul_add_mont...
+//
+// And yes, this routine really made me wish there were an optimizing
+// assembler! It also feels like it deserves a dedication.
+//
+// To my wife for being there and to my kids...
+//
+// void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+//
+#define carry1 r14
+#define carry2 r15
+#define carry3 r34
+.global bn_mul_comba8#
+.proc bn_mul_comba8#
+.align 64
+bn_mul_comba8:
+ .prologue
+ .save ar.pfs,r2
+#if defined(_HPUX_SOURCE) && !defined(_LP64)
+{ .mii; alloc r2=ar.pfs,3,0,0,0
+ addp4 r33=0,r33
+ addp4 r34=0,r34 };;
+{ .mii; addp4 r32=0,r32
+#else
+{ .mii; alloc r2=ar.pfs,3,0,0,0
+#endif
+ add r14=8,r33
+ add r17=8,r34 }
+ .body
+{ .mii; add r15=16,r33
+ add r18=16,r34
+ add r16=24,r33 }
+.L_cheat_entry_point8:
+{ .mmi; add r19=24,r34
+
+ ldf8 f32=[r33],32 };;
+
+{ .mmi; ldf8 f120=[r34],32
+ ldf8 f121=[r17],32 }
+{ .mmi; ldf8 f122=[r18],32
+ ldf8 f123=[r19],32 };;
+{ .mmi; ldf8 f124=[r34]
+ ldf8 f125=[r17] }
+{ .mmi; ldf8 f126=[r18]
+ ldf8 f127=[r19] }
+
+{ .mmi; ldf8 f33=[r14],32
+ ldf8 f34=[r15],32 }
+{ .mmi; ldf8 f35=[r16],32;;
+ ldf8 f36=[r33] }
+{ .mmi; ldf8 f37=[r14]
+ ldf8 f38=[r15] }
+{ .mfi; ldf8 f39=[r16]
+// -------\ Entering multiplier's heaven /-------
+// ------------\ /------------
+// -----------------\ /-----------------
+// ----------------------\/----------------------
+ xma.hu f41=f32,f120,f0 }
+{ .mfi; xma.lu f40=f32,f120,f0 };; // (*)
+{ .mfi; xma.hu f51=f32,f121,f0 }
+{ .mfi; xma.lu f50=f32,f121,f0 };;
+{ .mfi; xma.hu f61=f32,f122,f0 }
+{ .mfi; xma.lu f60=f32,f122,f0 };;
+{ .mfi; xma.hu f71=f32,f123,f0 }
+{ .mfi; xma.lu f70=f32,f123,f0 };;
+{ .mfi; xma.hu f81=f32,f124,f0 }
+{ .mfi; xma.lu f80=f32,f124,f0 };;
+{ .mfi; xma.hu f91=f32,f125,f0 }
+{ .mfi; xma.lu f90=f32,f125,f0 };;
+{ .mfi; xma.hu f101=f32,f126,f0 }
+{ .mfi; xma.lu f100=f32,f126,f0 };;
+{ .mfi; xma.hu f111=f32,f127,f0 }
+{ .mfi; xma.lu f110=f32,f127,f0 };;//
+// (*) You can argue that splitting at every second bundle would
+// prevent "wider" IA-64 implementations from achieving the peak
+// performance. Well, not really... The catch is that if you
+// intend to keep 4 FP units busy by splitting at every fourth
+// bundle and thus perform these 16 multiplications in 4 ticks,
+// the first bundle *below* would stall because the result from
+// the first xma bundle *above* won't be available for another 3
+// ticks (if not more, being an optimist, I assume that "wider"
+// implementation will have same latency:-). This stall will hold
+// you back and the performance would be as if every second bundle
+// were split *anyway*...
+{ .mfi; getf.sig r16=f40
+ xma.hu f42=f33,f120,f41
+ add r33=8,r32 }
+{ .mfi; xma.lu f41=f33,f120,f41 };;
+{ .mfi; getf.sig r24=f50
+ xma.hu f52=f33,f121,f51 }
+{ .mfi; xma.lu f51=f33,f121,f51 };;
+{ .mfi; st8 [r32]=r16,16
+ xma.hu f62=f33,f122,f61 }
+{ .mfi; xma.lu f61=f33,f122,f61 };;
+{ .mfi; xma.hu f72=f33,f123,f71 }
+{ .mfi; xma.lu f71=f33,f123,f71 };;
+{ .mfi; xma.hu f82=f33,f124,f81 }
+{ .mfi; xma.lu f81=f33,f124,f81 };;
+{ .mfi; xma.hu f92=f33,f125,f91 }
+{ .mfi; xma.lu f91=f33,f125,f91 };;
+{ .mfi; xma.hu f102=f33,f126,f101 }
+{ .mfi; xma.lu f101=f33,f126,f101 };;
+{ .mfi; xma.hu f112=f33,f127,f111 }
+{ .mfi; xma.lu f111=f33,f127,f111 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r25=f41
+ xma.hu f43=f34,f120,f42 }
+{ .mfi; xma.lu f42=f34,f120,f42 };;
+{ .mfi; getf.sig r16=f60
+ xma.hu f53=f34,f121,f52 }
+{ .mfi; xma.lu f52=f34,f121,f52 };;
+{ .mfi; getf.sig r17=f51
+ xma.hu f63=f34,f122,f62
+ add r25=r25,r24 }
+{ .mfi; xma.lu f62=f34,f122,f62
+ mov carry1=0 };;
+{ .mfi; cmp.ltu p6,p0=r25,r24
+ xma.hu f73=f34,f123,f72 }
+{ .mfi; xma.lu f72=f34,f123,f72 };;
+{ .mfi; st8 [r33]=r25,16
+ xma.hu f83=f34,f124,f82
+(p6) add carry1=1,carry1 }
+{ .mfi; xma.lu f82=f34,f124,f82 };;
+{ .mfi; xma.hu f93=f34,f125,f92 }
+{ .mfi; xma.lu f92=f34,f125,f92 };;
+{ .mfi; xma.hu f103=f34,f126,f102 }
+{ .mfi; xma.lu f102=f34,f126,f102 };;
+{ .mfi; xma.hu f113=f34,f127,f112 }
+{ .mfi; xma.lu f112=f34,f127,f112 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r18=f42
+ xma.hu f44=f35,f120,f43
+ add r17=r17,r16 }
+{ .mfi; xma.lu f43=f35,f120,f43 };;
+{ .mfi; getf.sig r24=f70
+ xma.hu f54=f35,f121,f53 }
+{ .mfi; mov carry2=0
+ xma.lu f53=f35,f121,f53 };;
+{ .mfi; getf.sig r25=f61
+ xma.hu f64=f35,f122,f63
+ cmp.ltu p7,p0=r17,r16 }
+{ .mfi; add r18=r18,r17
+ xma.lu f63=f35,f122,f63 };;
+{ .mfi; getf.sig r26=f52
+ xma.hu f74=f35,f123,f73
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r18,r17
+ xma.lu f73=f35,f123,f73
+ add r18=r18,carry1 };;
+{ .mfi;
+ xma.hu f84=f35,f124,f83
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r18,carry1
+ xma.lu f83=f35,f124,f83 };;
+{ .mfi; st8 [r32]=r18,16
+ xma.hu f94=f35,f125,f93
+(p7) add carry2=1,carry2 }
+{ .mfi; xma.lu f93=f35,f125,f93 };;
+{ .mfi; xma.hu f104=f35,f126,f103 }
+{ .mfi; xma.lu f103=f35,f126,f103 };;
+{ .mfi; xma.hu f114=f35,f127,f113 }
+{ .mfi; mov carry1=0
+ xma.lu f113=f35,f127,f113
+ add r25=r25,r24 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r27=f43
+ xma.hu f45=f36,f120,f44
+ cmp.ltu p6,p0=r25,r24 }
+{ .mfi; xma.lu f44=f36,f120,f44
+ add r26=r26,r25 };;
+{ .mfi; getf.sig r16=f80
+ xma.hu f55=f36,f121,f54
+(p6) add carry1=1,carry1 }
+{ .mfi; xma.lu f54=f36,f121,f54 };;
+{ .mfi; getf.sig r17=f71
+ xma.hu f65=f36,f122,f64
+ cmp.ltu p6,p0=r26,r25 }
+{ .mfi; xma.lu f64=f36,f122,f64
+ add r27=r27,r26 };;
+{ .mfi; getf.sig r18=f62
+ xma.hu f75=f36,f123,f74
+(p6) add carry1=1,carry1 }
+{ .mfi; cmp.ltu p6,p0=r27,r26
+ xma.lu f74=f36,f123,f74
+ add r27=r27,carry2 };;
+{ .mfi; getf.sig r19=f53
+ xma.hu f85=f36,f124,f84
+(p6) add carry1=1,carry1 }
+{ .mfi; xma.lu f84=f36,f124,f84
+ cmp.ltu p6,p0=r27,carry2 };;
+{ .mfi; st8 [r33]=r27,16
+ xma.hu f95=f36,f125,f94
+(p6) add carry1=1,carry1 }
+{ .mfi; xma.lu f94=f36,f125,f94 };;
+{ .mfi; xma.hu f105=f36,f126,f104 }
+{ .mfi; mov carry2=0
+ xma.lu f104=f36,f126,f104
+ add r17=r17,r16 };;
+{ .mfi; xma.hu f115=f36,f127,f114
+ cmp.ltu p7,p0=r17,r16 }
+{ .mfi; xma.lu f114=f36,f127,f114
+ add r18=r18,r17 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r20=f44
+ xma.hu f46=f37,f120,f45
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r18,r17
+ xma.lu f45=f37,f120,f45
+ add r19=r19,r18 };;
+{ .mfi; getf.sig r24=f90
+ xma.hu f56=f37,f121,f55 }
+{ .mfi; xma.lu f55=f37,f121,f55 };;
+{ .mfi; getf.sig r25=f81
+ xma.hu f66=f37,f122,f65
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r19,r18
+ xma.lu f65=f37,f122,f65
+ add r20=r20,r19 };;
+{ .mfi; getf.sig r26=f72
+ xma.hu f76=f37,f123,f75
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r20,r19
+ xma.lu f75=f37,f123,f75
+ add r20=r20,carry1 };;
+{ .mfi; getf.sig r27=f63
+ xma.hu f86=f37,f124,f85
+(p7) add carry2=1,carry2 }
+{ .mfi; xma.lu f85=f37,f124,f85
+ cmp.ltu p7,p0=r20,carry1 };;
+{ .mfi; getf.sig r28=f54
+ xma.hu f96=f37,f125,f95
+(p7) add carry2=1,carry2 }
+{ .mfi; st8 [r32]=r20,16
+ xma.lu f95=f37,f125,f95 };;
+{ .mfi; xma.hu f106=f37,f126,f105 }
+{ .mfi; mov carry1=0
+ xma.lu f105=f37,f126,f105
+ add r25=r25,r24 };;
+{ .mfi; xma.hu f116=f37,f127,f115
+ cmp.ltu p6,p0=r25,r24 }
+{ .mfi; xma.lu f115=f37,f127,f115
+ add r26=r26,r25 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r29=f45
+ xma.hu f47=f38,f120,f46
+(p6) add carry1=1,carry1 }
+{ .mfi; cmp.ltu p6,p0=r26,r25
+ xma.lu f46=f38,f120,f46
+ add r27=r27,r26 };;
+{ .mfi; getf.sig r16=f100
+ xma.hu f57=f38,f121,f56
+(p6) add carry1=1,carry1 }
+{ .mfi; cmp.ltu p6,p0=r27,r26
+ xma.lu f56=f38,f121,f56
+ add r28=r28,r27 };;
+{ .mfi; getf.sig r17=f91
+ xma.hu f67=f38,f122,f66
+(p6) add carry1=1,carry1 }
+{ .mfi; cmp.ltu p6,p0=r28,r27
+ xma.lu f66=f38,f122,f66
+ add r29=r29,r28 };;
+{ .mfi; getf.sig r18=f82
+ xma.hu f77=f38,f123,f76
+(p6) add carry1=1,carry1 }
+{ .mfi; cmp.ltu p6,p0=r29,r28
+ xma.lu f76=f38,f123,f76
+ add r29=r29,carry2 };;
+{ .mfi; getf.sig r19=f73
+ xma.hu f87=f38,f124,f86
+(p6) add carry1=1,carry1 }
+{ .mfi; xma.lu f86=f38,f124,f86
+ cmp.ltu p6,p0=r29,carry2 };;
+{ .mfi; getf.sig r20=f64
+ xma.hu f97=f38,f125,f96
+(p6) add carry1=1,carry1 }
+{ .mfi; st8 [r33]=r29,16
+ xma.lu f96=f38,f125,f96 };;
+{ .mfi; getf.sig r21=f55
+ xma.hu f107=f38,f126,f106 }
+{ .mfi; mov carry2=0
+ xma.lu f106=f38,f126,f106
+ add r17=r17,r16 };;
+{ .mfi; xma.hu f117=f38,f127,f116
+ cmp.ltu p7,p0=r17,r16 }
+{ .mfi; xma.lu f116=f38,f127,f116
+ add r18=r18,r17 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r22=f46
+ xma.hu f48=f39,f120,f47
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r18,r17
+ xma.lu f47=f39,f120,f47
+ add r19=r19,r18 };;
+{ .mfi; getf.sig r24=f110
+ xma.hu f58=f39,f121,f57
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r19,r18
+ xma.lu f57=f39,f121,f57
+ add r20=r20,r19 };;
+{ .mfi; getf.sig r25=f101
+ xma.hu f68=f39,f122,f67
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r20,r19
+ xma.lu f67=f39,f122,f67
+ add r21=r21,r20 };;
+{ .mfi; getf.sig r26=f92
+ xma.hu f78=f39,f123,f77
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r21,r20
+ xma.lu f77=f39,f123,f77
+ add r22=r22,r21 };;
+{ .mfi; getf.sig r27=f83
+ xma.hu f88=f39,f124,f87
+(p7) add carry2=1,carry2 }
+{ .mfi; cmp.ltu p7,p0=r22,r21
+ xma.lu f87=f39,f124,f87
+ add r22=r22,carry1 };;
+{ .mfi; getf.sig r28=f74
+ xma.hu f98=f39,f125,f97
+(p7) add carry2=1,carry2 }
+{ .mfi; xma.lu f97=f39,f125,f97
+ cmp.ltu p7,p0=r22,carry1 };;
+{ .mfi; getf.sig r29=f65
+ xma.hu f108=f39,f126,f107
+(p7) add carry2=1,carry2 }
+{ .mfi; st8 [r32]=r22,16
+ xma.lu f107=f39,f126,f107 };;
+{ .mfi; getf.sig r30=f56
+ xma.hu f118=f39,f127,f117 }
+{ .mfi; xma.lu f117=f39,f127,f117 };;//
+//-------------------------------------------------//
+// Leaving muliplier's heaven... Quite a ride, huh?
+
+{ .mii; getf.sig r31=f47
+ add r25=r25,r24
+ mov carry1=0 };;
+{ .mii; getf.sig r16=f111
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mfb; getf.sig r17=f102 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r27=r27,r26 };;
+{ .mfb; nop.m 0x0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r27,r26
+ add r28=r28,r27 };;
+{ .mii; getf.sig r18=f93
+ add r17=r17,r16
+ mov carry3=0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r28,r27
+ add r29=r29,r28 };;
+{ .mii; getf.sig r19=f84
+ cmp.ltu p7,p0=r17,r16 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r29,r28
+ add r30=r30,r29 };;
+{ .mii; getf.sig r20=f75
+ add r18=r18,r17 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r30,r29
+ add r31=r31,r30 };;
+{ .mfb; getf.sig r21=f66 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r18,r17
+ add r19=r19,r18 }
+{ .mfb; nop.m 0x0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r31,r30
+ add r31=r31,carry2 };;
+{ .mfb; getf.sig r22=f57 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r19,r18
+ add r20=r20,r19 }
+{ .mfb; nop.m 0x0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r31,carry2 };;
+{ .mfb; getf.sig r23=f48 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r20,r19
+ add r21=r21,r20 }
+{ .mii;
+(p6) add carry1=1,carry1 }
+{ .mfb; st8 [r33]=r31,16 };;
+
+{ .mfb; getf.sig r24=f112 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r21,r20
+ add r22=r22,r21 };;
+{ .mfb; getf.sig r25=f103 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r22,r21
+ add r23=r23,r22 };;
+{ .mfb; getf.sig r26=f94 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r23,r22
+ add r23=r23,carry1 };;
+{ .mfb; getf.sig r27=f85 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p8=r23,carry1};;
+{ .mii; getf.sig r28=f76
+ add r25=r25,r24
+ mov carry1=0 }
+{ .mii; st8 [r32]=r23,16
+ (p7) add carry2=1,carry3
+ (p8) add carry2=0,carry3 };;
+
+{ .mfb; nop.m 0x0 }
+{ .mii; getf.sig r29=f67
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mfb; getf.sig r30=f58 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r27=r27,r26 };;
+{ .mfb; getf.sig r16=f113 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r27,r26
+ add r28=r28,r27 };;
+{ .mfb; getf.sig r17=f104 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r28,r27
+ add r29=r29,r28 };;
+{ .mfb; getf.sig r18=f95 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r29,r28
+ add r30=r30,r29 };;
+{ .mii; getf.sig r19=f86
+ add r17=r17,r16
+ mov carry3=0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r30,r29
+ add r30=r30,carry2 };;
+{ .mii; getf.sig r20=f77
+ cmp.ltu p7,p0=r17,r16
+ add r18=r18,r17 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r30,carry2 };;
+{ .mfb; getf.sig r21=f68 }
+{ .mii; st8 [r33]=r30,16
+(p6) add carry1=1,carry1 };;
+
+{ .mfb; getf.sig r24=f114 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r18,r17
+ add r19=r19,r18 };;
+{ .mfb; getf.sig r25=f105 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r19,r18
+ add r20=r20,r19 };;
+{ .mfb; getf.sig r26=f96 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r20,r19
+ add r21=r21,r20 };;
+{ .mfb; getf.sig r27=f87 }
+{ .mii; (p7) add carry3=1,carry3
+ cmp.ltu p7,p0=r21,r20
+ add r21=r21,carry1 };;
+{ .mib; getf.sig r28=f78
+ add r25=r25,r24 }
+{ .mib; (p7) add carry3=1,carry3
+ cmp.ltu p7,p8=r21,carry1};;
+{ .mii; st8 [r32]=r21,16
+ (p7) add carry2=1,carry3
+ (p8) add carry2=0,carry3 }
+
+{ .mii; mov carry1=0
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mfb; getf.sig r16=f115 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r27=r27,r26 };;
+{ .mfb; getf.sig r17=f106 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r27,r26
+ add r28=r28,r27 };;
+{ .mfb; getf.sig r18=f97 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r28,r27
+ add r28=r28,carry2 };;
+{ .mib; getf.sig r19=f88
+ add r17=r17,r16 }
+{ .mib;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r28,carry2 };;
+{ .mii; st8 [r33]=r28,16
+(p6) add carry1=1,carry1 }
+
+{ .mii; mov carry2=0
+ cmp.ltu p7,p0=r17,r16
+ add r18=r18,r17 };;
+{ .mfb; getf.sig r24=f116 }
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r18,r17
+ add r19=r19,r18 };;
+{ .mfb; getf.sig r25=f107 }
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r19,r18
+ add r19=r19,carry1 };;
+{ .mfb; getf.sig r26=f98 }
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r19,carry1};;
+{ .mii; st8 [r32]=r19,16
+ (p7) add carry2=1,carry2 }
+
+{ .mfb; add r25=r25,r24 };;
+
+{ .mfb; getf.sig r16=f117 }
+{ .mii; mov carry1=0
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mfb; getf.sig r17=f108 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r26=r26,carry2 };;
+{ .mfb; nop.m 0x0 }
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,carry2 };;
+{ .mii; st8 [r33]=r26,16
+(p6) add carry1=1,carry1 }
+
+{ .mfb; add r17=r17,r16 };;
+{ .mfb; getf.sig r24=f118 }
+{ .mii; mov carry2=0
+ cmp.ltu p7,p0=r17,r16
+ add r17=r17,carry1 };;
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r17,carry1};;
+{ .mii; st8 [r32]=r17
+ (p7) add carry2=1,carry2 };;
+{ .mfb; add r24=r24,carry2 };;
+{ .mib; st8 [r33]=r24 }
+
+{ .mib; rum 1<<5 // clear um.mfh
+ br.ret.sptk.many b0 };;
+.endp bn_mul_comba8#
+#undef carry3
+#undef carry2
+#undef carry1
+#endif
+
+#if 1
+// It's possible to make it faster (see comment to bn_sqr_comba8), but
+// I reckon it doesn't worth the effort. Basically because the routine
+// (actually both of them) practically never called... So I just play
+// same trick as with bn_sqr_comba8.
+//
+// void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
+//
+.global bn_sqr_comba4#
+.proc bn_sqr_comba4#
+.align 64
+bn_sqr_comba4:
+ .prologue
+ .save ar.pfs,r2
+#if defined(_HPUX_SOURCE) && !defined(_LP64)
+{ .mii; alloc r2=ar.pfs,2,1,0,0
+ addp4 r32=0,r32
+ addp4 r33=0,r33 };;
+{ .mii;
+#else
+{ .mii; alloc r2=ar.pfs,2,1,0,0
+#endif
+ mov r34=r33
+ add r14=8,r33 };;
+ .body
+{ .mii; add r17=8,r34
+ add r15=16,r33
+ add r18=16,r34 }
+{ .mfb; add r16=24,r33
+ br .L_cheat_entry_point4 };;
+.endp bn_sqr_comba4#
+#endif
+
+#if 1
+// Runs in ~115 cycles and ~4.5 times faster than C. Well, whatever...
+//
+// void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+//
+#define carry1 r14
+#define carry2 r15
+.global bn_mul_comba4#
+.proc bn_mul_comba4#
+.align 64
+bn_mul_comba4:
+ .prologue
+ .save ar.pfs,r2
+#if defined(_HPUX_SOURCE) && !defined(_LP64)
+{ .mii; alloc r2=ar.pfs,3,0,0,0
+ addp4 r33=0,r33
+ addp4 r34=0,r34 };;
+{ .mii; addp4 r32=0,r32
+#else
+{ .mii; alloc r2=ar.pfs,3,0,0,0
+#endif
+ add r14=8,r33
+ add r17=8,r34 }
+ .body
+{ .mii; add r15=16,r33
+ add r18=16,r34
+ add r16=24,r33 };;
+.L_cheat_entry_point4:
+{ .mmi; add r19=24,r34
+
+ ldf8 f32=[r33] }
+
+{ .mmi; ldf8 f120=[r34]
+ ldf8 f121=[r17] };;
+{ .mmi; ldf8 f122=[r18]
+ ldf8 f123=[r19] }
+
+{ .mmi; ldf8 f33=[r14]
+ ldf8 f34=[r15] }
+{ .mfi; ldf8 f35=[r16]
+
+ xma.hu f41=f32,f120,f0 }
+{ .mfi; xma.lu f40=f32,f120,f0 };;
+{ .mfi; xma.hu f51=f32,f121,f0 }
+{ .mfi; xma.lu f50=f32,f121,f0 };;
+{ .mfi; xma.hu f61=f32,f122,f0 }
+{ .mfi; xma.lu f60=f32,f122,f0 };;
+{ .mfi; xma.hu f71=f32,f123,f0 }
+{ .mfi; xma.lu f70=f32,f123,f0 };;//
+// Major stall takes place here, and 3 more places below. Result from
+// first xma is not available for another 3 ticks.
+{ .mfi; getf.sig r16=f40
+ xma.hu f42=f33,f120,f41
+ add r33=8,r32 }
+{ .mfi; xma.lu f41=f33,f120,f41 };;
+{ .mfi; getf.sig r24=f50
+ xma.hu f52=f33,f121,f51 }
+{ .mfi; xma.lu f51=f33,f121,f51 };;
+{ .mfi; st8 [r32]=r16,16
+ xma.hu f62=f33,f122,f61 }
+{ .mfi; xma.lu f61=f33,f122,f61 };;
+{ .mfi; xma.hu f72=f33,f123,f71 }
+{ .mfi; xma.lu f71=f33,f123,f71 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r25=f41
+ xma.hu f43=f34,f120,f42 }
+{ .mfi; xma.lu f42=f34,f120,f42 };;
+{ .mfi; getf.sig r16=f60
+ xma.hu f53=f34,f121,f52 }
+{ .mfi; xma.lu f52=f34,f121,f52 };;
+{ .mfi; getf.sig r17=f51
+ xma.hu f63=f34,f122,f62
+ add r25=r25,r24 }
+{ .mfi; mov carry1=0
+ xma.lu f62=f34,f122,f62 };;
+{ .mfi; st8 [r33]=r25,16
+ xma.hu f73=f34,f123,f72
+ cmp.ltu p6,p0=r25,r24 }
+{ .mfi; xma.lu f72=f34,f123,f72 };;//
+//-------------------------------------------------//
+{ .mfi; getf.sig r18=f42
+ xma.hu f44=f35,f120,f43
+(p6) add carry1=1,carry1 }
+{ .mfi; add r17=r17,r16
+ xma.lu f43=f35,f120,f43
+ mov carry2=0 };;
+{ .mfi; getf.sig r24=f70
+ xma.hu f54=f35,f121,f53
+ cmp.ltu p7,p0=r17,r16 }
+{ .mfi; xma.lu f53=f35,f121,f53 };;
+{ .mfi; getf.sig r25=f61
+ xma.hu f64=f35,f122,f63
+ add r18=r18,r17 }
+{ .mfi; xma.lu f63=f35,f122,f63
+(p7) add carry2=1,carry2 };;
+{ .mfi; getf.sig r26=f52
+ xma.hu f74=f35,f123,f73
+ cmp.ltu p7,p0=r18,r17 }
+{ .mfi; xma.lu f73=f35,f123,f73
+ add r18=r18,carry1 };;
+//-------------------------------------------------//
+{ .mii; st8 [r32]=r18,16
+(p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r18,carry1 };;
+
+{ .mfi; getf.sig r27=f43 // last major stall
+(p7) add carry2=1,carry2 };;
+{ .mii; getf.sig r16=f71
+ add r25=r25,r24
+ mov carry1=0 };;
+{ .mii; getf.sig r17=f62
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r27=r27,r26 };;
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r27,r26
+ add r27=r27,carry2 };;
+{ .mii; getf.sig r18=f53
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r27,carry2 };;
+{ .mfi; st8 [r33]=r27,16
+(p6) add carry1=1,carry1 }
+
+{ .mii; getf.sig r19=f44
+ add r17=r17,r16
+ mov carry2=0 };;
+{ .mii; getf.sig r24=f72
+ cmp.ltu p7,p0=r17,r16
+ add r18=r18,r17 };;
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r18,r17
+ add r19=r19,r18 };;
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r19,r18
+ add r19=r19,carry1 };;
+{ .mii; getf.sig r25=f63
+ (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r19,carry1};;
+{ .mii; st8 [r32]=r19,16
+ (p7) add carry2=1,carry2 }
+
+{ .mii; getf.sig r26=f54
+ add r25=r25,r24
+ mov carry1=0 };;
+{ .mii; getf.sig r16=f73
+ cmp.ltu p6,p0=r25,r24
+ add r26=r26,r25 };;
+{ .mii;
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,r25
+ add r26=r26,carry2 };;
+{ .mii; getf.sig r17=f64
+(p6) add carry1=1,carry1
+ cmp.ltu p6,p0=r26,carry2 };;
+{ .mii; st8 [r33]=r26,16
+(p6) add carry1=1,carry1 }
+
+{ .mii; getf.sig r24=f74
+ add r17=r17,r16
+ mov carry2=0 };;
+{ .mii; cmp.ltu p7,p0=r17,r16
+ add r17=r17,carry1 };;
+
+{ .mii; (p7) add carry2=1,carry2
+ cmp.ltu p7,p0=r17,carry1};;
+{ .mii; st8 [r32]=r17,16
+ (p7) add carry2=1,carry2 };;
+
+{ .mii; add r24=r24,carry2 };;
+{ .mii; st8 [r33]=r24 }
+
+{ .mib; rum 1<<5 // clear um.mfh
+ br.ret.sptk.many b0 };;
+.endp bn_mul_comba4#
+#undef carry2
+#undef carry1
+#endif
+
+#if 1
+//
+// BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
+//
+// In the nutshell it's a port of my MIPS III/IV implementation.
+//
+#define AT r14
+#define H r16
+#define HH r20
+#define L r17
+#define D r18
+#define DH r22
+#define I r21
+
+#if 0
+// Some preprocessors (most notably HP-UX) appear to be allergic to
+// macros enclosed to parenthesis [as these three were].
+#define cont p16
+#define break p0 // p20
+#define equ p24
+#else
+cont=p16
+break=p0
+equ=p24
+#endif
+
+.global abort#
+.global bn_div_words#
+.proc bn_div_words#
+.align 64
+bn_div_words:
+ .prologue
+ .save ar.pfs,r2
+{ .mii; alloc r2=ar.pfs,3,5,0,8
+ .save b0,r3
+ mov r3=b0
+ .save pr,r10
+ mov r10=pr };;
+{ .mmb; cmp.eq p6,p0=r34,r0
+ mov r8=-1
+(p6) br.ret.spnt.many b0 };;
+
+ .body
+{ .mii; mov H=r32 // save h
+ mov ar.ec=0 // don't rotate at exit
+ mov pr.rot=0 }
+{ .mii; mov L=r33 // save l
+ mov r36=r0 };;
+
+.L_divw_shift: // -vv- note signed comparison
+{ .mfi; (p0) cmp.lt p16,p0=r0,r34 // d
+ (p0) shladd r33=r34,1,r0 }
+{ .mfb; (p0) add r35=1,r36
+ (p0) nop.f 0x0
+(p16) br.wtop.dpnt .L_divw_shift };;
+
+{ .mii; mov D=r34
+ shr.u DH=r34,32
+ sub r35=64,r36 };;
+{ .mii; setf.sig f7=DH
+ shr.u AT=H,r35
+ mov I=r36 };;
+{ .mib; cmp.ne p6,p0=r0,AT
+ shl H=H,r36
+(p6) br.call.spnt.clr b0=abort };; // overflow, die...
+
+{ .mfi; fcvt.xuf.s1 f7=f7
+ shr.u AT=L,r35 };;
+{ .mii; shl L=L,r36
+ or H=H,AT };;
+
+{ .mii; nop.m 0x0
+ cmp.leu p6,p0=D,H;;
+(p6) sub H=H,D }
+
+{ .mlx; setf.sig f14=D
+ movl AT=0xffffffff };;
+///////////////////////////////////////////////////////////
+{ .mii; setf.sig f6=H
+ shr.u HH=H,32;;
+ cmp.eq p6,p7=HH,DH };;
+{ .mfb;
+(p6) setf.sig f8=AT
+(p7) fcvt.xuf.s1 f6=f6
+(p7) br.call.sptk b6=.L_udiv64_32_b6 };;
+
+{ .mfi; getf.sig r33=f8 // q
+ xmpy.lu f9=f8,f14 }
+{ .mfi; xmpy.hu f10=f8,f14
+ shrp H=H,L,32 };;
+
+{ .mmi; getf.sig r35=f9 // tl
+ getf.sig r31=f10 };; // th
+
+.L_divw_1st_iter:
+{ .mii; (p0) add r32=-1,r33
+ (p0) cmp.eq equ,cont=HH,r31 };;
+{ .mii; (p0) cmp.ltu p8,p0=r35,D
+ (p0) sub r34=r35,D
+ (equ) cmp.leu break,cont=r35,H };;
+{ .mib; (cont) cmp.leu cont,break=HH,r31
+ (p8) add r31=-1,r31
+(cont) br.wtop.spnt .L_divw_1st_iter };;
+///////////////////////////////////////////////////////////
+{ .mii; sub H=H,r35
+ shl r8=r33,32
+ shl L=L,32 };;
+///////////////////////////////////////////////////////////
+{ .mii; setf.sig f6=H
+ shr.u HH=H,32;;
+ cmp.eq p6,p7=HH,DH };;
+{ .mfb;
+(p6) setf.sig f8=AT
+(p7) fcvt.xuf.s1 f6=f6
+(p7) br.call.sptk b6=.L_udiv64_32_b6 };;
+
+{ .mfi; getf.sig r33=f8 // q
+ xmpy.lu f9=f8,f14 }
+{ .mfi; xmpy.hu f10=f8,f14
+ shrp H=H,L,32 };;
+
+{ .mmi; getf.sig r35=f9 // tl
+ getf.sig r31=f10 };; // th
+
+.L_divw_2nd_iter:
+{ .mii; (p0) add r32=-1,r33
+ (p0) cmp.eq equ,cont=HH,r31 };;
+{ .mii; (p0) cmp.ltu p8,p0=r35,D
+ (p0) sub r34=r35,D
+ (equ) cmp.leu break,cont=r35,H };;
+{ .mib; (cont) cmp.leu cont,break=HH,r31
+ (p8) add r31=-1,r31
+(cont) br.wtop.spnt .L_divw_2nd_iter };;
+///////////////////////////////////////////////////////////
+{ .mii; sub H=H,r35
+ or r8=r8,r33
+ mov ar.pfs=r2 };;
+{ .mii; shr.u r9=H,I // remainder if anybody wants it
+ mov pr=r10,0x1ffff }
+{ .mfb; br.ret.sptk.many b0 };;
+
+// Unsigned 64 by 32 (well, by 64 for the moment) bit integer division
+// procedure.
+//
+// inputs: f6 = (double)a, f7 = (double)b
+// output: f8 = (int)(a/b)
+// clobbered: f8,f9,f10,f11,pred
+pred=p15
+// One can argue that this snippet is copyrighted to Intel
+// Corporation, as it's essentially identical to one of those
+// found in "Divide, Square Root and Remainder" section at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+// Yes, I admit that the referred code was used as template,
+// but after I realized that there hardly is any other instruction
+// sequence which would perform this operation. I mean I figure that
+// any independent attempt to implement high-performance division
+// will result in code virtually identical to the Intel code. It
+// should be noted though that below division kernel is 1 cycle
+// faster than Intel one (note commented splits:-), not to mention
+// original prologue (rather lack of one) and epilogue.
+.align 32
+.skip 16
+.L_udiv64_32_b6:
+ frcpa.s1 f8,pred=f6,f7;; // [0] y0 = 1 / b
+
+(pred) fnma.s1 f9=f7,f8,f1 // [5] e0 = 1 - b * y0
+(pred) fmpy.s1 f10=f6,f8;; // [5] q0 = a * y0
+(pred) fmpy.s1 f11=f9,f9 // [10] e1 = e0 * e0
+(pred) fma.s1 f10=f9,f10,f10;; // [10] q1 = q0 + e0 * q0
+(pred) fma.s1 f8=f9,f8,f8 //;; // [15] y1 = y0 + e0 * y0
+(pred) fma.s1 f9=f11,f10,f10;; // [15] q2 = q1 + e1 * q1
+(pred) fma.s1 f8=f11,f8,f8 //;; // [20] y2 = y1 + e1 * y1
+(pred) fnma.s1 f10=f7,f9,f6;; // [20] r2 = a - b * q2
+(pred) fma.s1 f8=f10,f8,f9;; // [25] q3 = q2 + r2 * y2
+
+ fcvt.fxu.trunc.s1 f8=f8 // [30] q = trunc(q3)
+ br.ret.sptk.many b6;;
+.endp bn_div_words#
+#endif
diff --git a/openssl/crypto/bn/asm/mips3-mont.pl b/openssl/crypto/bn/asm/mips3-mont.pl
new file mode 100644
index 00000000..8f9156e0
--- /dev/null
+++ b/openssl/crypto/bn/asm/mips3-mont.pl
@@ -0,0 +1,327 @@
+#!/usr/bin/env perl
+#
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# This module doesn't present direct interest for OpenSSL, because it
+# doesn't provide better performance for longer keys. While 512-bit
+# RSA private key operations are 40% faster, 1024-bit ones are hardly
+# faster at all, while longer key operations are slower by up to 20%.
+# It might be of interest to embedded system developers though, as
+# it's smaller than 1KB, yet offers ~3x improvement over compiler
+# generated code.
+#
+# The module targets N32 and N64 MIPS ABIs and currently is a bit
+# IRIX-centric, i.e. is likely to require adaptation for other OSes.
+
+# int bn_mul_mont(
+$rp="a0"; # BN_ULONG *rp,
+$ap="a1"; # const BN_ULONG *ap,
+$bp="a2"; # const BN_ULONG *bp,
+$np="a3"; # const BN_ULONG *np,
+$n0="a4"; # const BN_ULONG *n0,
+$num="a5"; # int num);
+
+$lo0="a6";
+$hi0="a7";
+$lo1="v0";
+$hi1="v1";
+$aj="t0";
+$bi="t1";
+$nj="t2";
+$tp="t3";
+$alo="s0";
+$ahi="s1";
+$nlo="s2";
+$nhi="s3";
+$tj="s4";
+$i="s5";
+$j="s6";
+$fp="t8";
+$m1="t9";
+
+$FRAME=8*(2+8);
+
+$code=<<___;
+#include <asm.h>
+#include <regdef.h>
+
+.text
+
+.set noat
+.set reorder
+
+.align 5
+.globl bn_mul_mont
+.ent bn_mul_mont
+bn_mul_mont:
+ .set noreorder
+ PTR_SUB sp,64
+ move $fp,sp
+ .frame $fp,64,ra
+ slt AT,$num,4
+ li v0,0
+ beqzl AT,.Lproceed
+ nop
+ jr ra
+ PTR_ADD sp,$fp,64
+ .set reorder
+.align 5
+.Lproceed:
+ ld $n0,0($n0)
+ ld $bi,0($bp) # bp[0]
+ ld $aj,0($ap) # ap[0]
+ ld $nj,0($np) # np[0]
+ PTR_SUB sp,16 # place for two extra words
+ sll $num,3
+ li AT,-4096
+ PTR_SUB sp,$num
+ and sp,AT
+
+ sd s0,0($fp)
+ sd s1,8($fp)
+ sd s2,16($fp)
+ sd s3,24($fp)
+ sd s4,32($fp)
+ sd s5,40($fp)
+ sd s6,48($fp)
+ sd s7,56($fp)
+
+ dmultu $aj,$bi
+ ld $alo,8($ap)
+ ld $nlo,8($np)
+ mflo $lo0
+ mfhi $hi0
+ dmultu $lo0,$n0
+ mflo $m1
+
+ dmultu $alo,$bi
+ mflo $alo
+ mfhi $ahi
+
+ dmultu $nj,$m1
+ mflo $lo1
+ mfhi $hi1
+ dmultu $nlo,$m1
+ daddu $lo1,$lo0
+ sltu AT,$lo1,$lo0
+ daddu $hi1,AT
+ mflo $nlo
+ mfhi $nhi
+
+ move $tp,sp
+ li $j,16
+.align 4
+.L1st:
+ .set noreorder
+ PTR_ADD $aj,$ap,$j
+ ld $aj,($aj)
+ PTR_ADD $nj,$np,$j
+ ld $nj,($nj)
+
+ dmultu $aj,$bi
+ daddu $lo0,$alo,$hi0
+ daddu $lo1,$nlo,$hi1
+ sltu AT,$lo0,$hi0
+ sltu s7,$lo1,$hi1
+ daddu $hi0,$ahi,AT
+ daddu $hi1,$nhi,s7
+ mflo $alo
+ mfhi $ahi
+
+ daddu $lo1,$lo0
+ sltu AT,$lo1,$lo0
+ dmultu $nj,$m1
+ daddu $hi1,AT
+ addu $j,8
+ sd $lo1,($tp)
+ sltu s7,$j,$num
+ mflo $nlo
+ mfhi $nhi
+
+ bnez s7,.L1st
+ PTR_ADD $tp,8
+ .set reorder
+
+ daddu $lo0,$alo,$hi0
+ sltu AT,$lo0,$hi0
+ daddu $hi0,$ahi,AT
+
+ daddu $lo1,$nlo,$hi1
+ sltu s7,$lo1,$hi1
+ daddu $hi1,$nhi,s7
+ daddu $lo1,$lo0
+ sltu AT,$lo1,$lo0
+ daddu $hi1,AT
+
+ sd $lo1,($tp)
+
+ daddu $hi1,$hi0
+ sltu AT,$hi1,$hi0
+ sd $hi1,8($tp)
+ sd AT,16($tp)
+
+ li $i,8
+.align 4
+.Louter:
+ PTR_ADD $bi,$bp,$i
+ ld $bi,($bi)
+ ld $aj,($ap)
+ ld $alo,8($ap)
+ ld $tj,(sp)
+
+ dmultu $aj,$bi
+ ld $nj,($np)
+ ld $nlo,8($np)
+ mflo $lo0
+ mfhi $hi0
+ daddu $lo0,$tj
+ dmultu $lo0,$n0
+ sltu AT,$lo0,$tj
+ daddu $hi0,AT
+ mflo $m1
+
+ dmultu $alo,$bi
+ mflo $alo
+ mfhi $ahi
+
+ dmultu $nj,$m1
+ mflo $lo1
+ mfhi $hi1
+
+ dmultu $nlo,$m1
+ daddu $lo1,$lo0
+ sltu AT,$lo1,$lo0
+ daddu $hi1,AT
+ mflo $nlo
+ mfhi $nhi
+
+ move $tp,sp
+ li $j,16
+ ld $tj,8($tp)
+.align 4
+.Linner:
+ .set noreorder
+ PTR_ADD $aj,$ap,$j
+ ld $aj,($aj)
+ PTR_ADD $nj,$np,$j
+ ld $nj,($nj)
+
+ dmultu $aj,$bi
+ daddu $lo0,$alo,$hi0
+ daddu $lo1,$nlo,$hi1
+ sltu AT,$lo0,$hi0
+ sltu s7,$lo1,$hi1
+ daddu $hi0,$ahi,AT
+ daddu $hi1,$nhi,s7
+ mflo $alo
+ mfhi $ahi
+
+ daddu $lo0,$tj
+ addu $j,8
+ dmultu $nj,$m1
+ sltu AT,$lo0,$tj
+ daddu $lo1,$lo0
+ daddu $hi0,AT
+ sltu s7,$lo1,$lo0
+ ld $tj,16($tp)
+ daddu $hi1,s7
+ sltu AT,$j,$num
+ mflo $nlo
+ mfhi $nhi
+ sd $lo1,($tp)
+ bnez AT,.Linner
+ PTR_ADD $tp,8
+ .set reorder
+
+ daddu $lo0,$alo,$hi0
+ sltu AT,$lo0,$hi0
+ daddu $hi0,$ahi,AT
+ daddu $lo0,$tj
+ sltu s7,$lo0,$tj
+ daddu $hi0,s7
+
+ ld $tj,16($tp)
+ daddu $lo1,$nlo,$hi1
+ sltu AT,$lo1,$hi1
+ daddu $hi1,$nhi,AT
+ daddu $lo1,$lo0
+ sltu s7,$lo1,$lo0
+ daddu $hi1,s7
+ sd $lo1,($tp)
+
+ daddu $lo1,$hi1,$hi0
+ sltu $hi1,$lo1,$hi0
+ daddu $lo1,$tj
+ sltu AT,$lo1,$tj
+ daddu $hi1,AT
+ sd $lo1,8($tp)
+ sd $hi1,16($tp)
+
+ addu $i,8
+ sltu s7,$i,$num
+ bnez s7,.Louter
+
+ .set noreorder
+ PTR_ADD $tj,sp,$num # &tp[num]
+ move $tp,sp
+ move $ap,sp
+ li $hi0,0 # clear borrow bit
+
+.align 4
+.Lsub: ld $lo0,($tp)
+ ld $lo1,($np)
+ PTR_ADD $tp,8
+ PTR_ADD $np,8
+ dsubu $lo1,$lo0,$lo1 # tp[i]-np[i]
+ sgtu AT,$lo1,$lo0
+ dsubu $lo0,$lo1,$hi0
+ sgtu $hi0,$lo0,$lo1
+ sd $lo0,($rp)
+ or $hi0,AT
+ sltu AT,$tp,$tj
+ bnez AT,.Lsub
+ PTR_ADD $rp,8
+
+ dsubu $hi0,$hi1,$hi0 # handle upmost overflow bit
+ move $tp,sp
+ PTR_SUB $rp,$num # restore rp
+ not $hi1,$hi0
+
+ and $ap,$hi0,sp
+ and $bp,$hi1,$rp
+ or $ap,$ap,$bp # ap=borrow?tp:rp
+
+.align 4
+.Lcopy: ld $aj,($ap)
+ PTR_ADD $ap,8
+ PTR_ADD $tp,8
+ sd zero,-8($tp)
+ sltu AT,$tp,$tj
+ sd $aj,($rp)
+ bnez AT,.Lcopy
+ PTR_ADD $rp,8
+
+ ld s0,0($fp)
+ ld s1,8($fp)
+ ld s2,16($fp)
+ ld s3,24($fp)
+ ld s4,32($fp)
+ ld s5,40($fp)
+ ld s6,48($fp)
+ ld s7,56($fp)
+ li v0,1
+ jr ra
+ PTR_ADD sp,$fp,64
+ .set reorder
+END(bn_mul_mont)
+.rdata
+.asciiz "Montgomery Multiplication for MIPS III/IV, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/mips3.s b/openssl/crypto/bn/asm/mips3.s
new file mode 100644
index 00000000..dca4105c
--- /dev/null
+++ b/openssl/crypto/bn/asm/mips3.s
@@ -0,0 +1,2201 @@
+.rdata
+.asciiz "mips3.s, Version 1.1"
+.asciiz "MIPS III/IV ISA artwork by Andy Polyakov <appro@fy.chalmers.se>"
+
+/*
+ * ====================================================================
+ * Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * project.
+ *
+ * Rights for redistribution and usage in source and binary forms are
+ * granted according to the OpenSSL license. Warranty of any kind is
+ * disclaimed.
+ * ====================================================================
+ */
+
+/*
+ * This is my modest contributon to the OpenSSL project (see
+ * http://www.openssl.org/ for more information about it) and is
+ * a drop-in MIPS III/IV ISA replacement for crypto/bn/bn_asm.c
+ * module. For updates see http://fy.chalmers.se/~appro/hpe/.
+ *
+ * The module is designed to work with either of the "new" MIPS ABI(5),
+ * namely N32 or N64, offered by IRIX 6.x. It's not ment to work under
+ * IRIX 5.x not only because it doesn't support new ABIs but also
+ * because 5.x kernels put R4x00 CPU into 32-bit mode and all those
+ * 64-bit instructions (daddu, dmultu, etc.) found below gonna only
+ * cause illegal instruction exception:-(
+ *
+ * In addition the code depends on preprocessor flags set up by MIPSpro
+ * compiler driver (either as or cc) and therefore (probably?) can't be
+ * compiled by the GNU assembler. GNU C driver manages fine though...
+ * I mean as long as -mmips-as is specified or is the default option,
+ * because then it simply invokes /usr/bin/as which in turn takes
+ * perfect care of the preprocessor definitions. Another neat feature
+ * offered by the MIPSpro assembler is an optimization pass. This gave
+ * me the opportunity to have the code looking more regular as all those
+ * architecture dependent instruction rescheduling details were left to
+ * the assembler. Cool, huh?
+ *
+ * Performance improvement is astonishing! 'apps/openssl speed rsa dsa'
+ * goes way over 3 times faster!
+ *
+ * <appro@fy.chalmers.se>
+ */
+#include <asm.h>
+#include <regdef.h>
+
+#if _MIPS_ISA>=4
+#define MOVNZ(cond,dst,src) \
+ movn dst,src,cond
+#else
+#define MOVNZ(cond,dst,src) \
+ .set noreorder; \
+ bnezl cond,.+8; \
+ move dst,src; \
+ .set reorder
+#endif
+
+.text
+
+.set noat
+.set reorder
+
+#define MINUS4 v1
+
+.align 5
+LEAF(bn_mul_add_words)
+ .set noreorder
+ bgtzl a2,.L_bn_mul_add_words_proceed
+ ld t0,0(a1)
+ jr ra
+ move v0,zero
+ .set reorder
+
+.L_bn_mul_add_words_proceed:
+ li MINUS4,-4
+ and ta0,a2,MINUS4
+ move v0,zero
+ beqz ta0,.L_bn_mul_add_words_tail
+
+.L_bn_mul_add_words_loop:
+ dmultu t0,a3
+ ld t1,0(a0)
+ ld t2,8(a1)
+ ld t3,8(a0)
+ ld ta0,16(a1)
+ ld ta1,16(a0)
+ daddu t1,v0
+ sltu v0,t1,v0 /* All manuals say it "compares 32-bit
+ * values", but it seems to work fine
+ * even on 64-bit registers. */
+ mflo AT
+ mfhi t0
+ daddu t1,AT
+ daddu v0,t0
+ sltu AT,t1,AT
+ sd t1,0(a0)
+ daddu v0,AT
+
+ dmultu t2,a3
+ ld ta2,24(a1)
+ ld ta3,24(a0)
+ daddu t3,v0
+ sltu v0,t3,v0
+ mflo AT
+ mfhi t2
+ daddu t3,AT
+ daddu v0,t2
+ sltu AT,t3,AT
+ sd t3,8(a0)
+ daddu v0,AT
+
+ dmultu ta0,a3
+ subu a2,4
+ PTR_ADD a0,32
+ PTR_ADD a1,32
+ daddu ta1,v0
+ sltu v0,ta1,v0
+ mflo AT
+ mfhi ta0
+ daddu ta1,AT
+ daddu v0,ta0
+ sltu AT,ta1,AT
+ sd ta1,-16(a0)
+ daddu v0,AT
+
+
+ dmultu ta2,a3
+ and ta0,a2,MINUS4
+ daddu ta3,v0
+ sltu v0,ta3,v0
+ mflo AT
+ mfhi ta2
+ daddu ta3,AT
+ daddu v0,ta2
+ sltu AT,ta3,AT
+ sd ta3,-8(a0)
+ daddu v0,AT
+ .set noreorder
+ bgtzl ta0,.L_bn_mul_add_words_loop
+ ld t0,0(a1)
+
+ bnezl a2,.L_bn_mul_add_words_tail
+ ld t0,0(a1)
+ .set reorder
+
+.L_bn_mul_add_words_return:
+ jr ra
+
+.L_bn_mul_add_words_tail:
+ dmultu t0,a3
+ ld t1,0(a0)
+ subu a2,1
+ daddu t1,v0
+ sltu v0,t1,v0
+ mflo AT
+ mfhi t0
+ daddu t1,AT
+ daddu v0,t0
+ sltu AT,t1,AT
+ sd t1,0(a0)
+ daddu v0,AT
+ beqz a2,.L_bn_mul_add_words_return
+
+ ld t0,8(a1)
+ dmultu t0,a3
+ ld t1,8(a0)
+ subu a2,1
+ daddu t1,v0
+ sltu v0,t1,v0
+ mflo AT
+ mfhi t0
+ daddu t1,AT
+ daddu v0,t0
+ sltu AT,t1,AT
+ sd t1,8(a0)
+ daddu v0,AT
+ beqz a2,.L_bn_mul_add_words_return
+
+ ld t0,16(a1)
+ dmultu t0,a3
+ ld t1,16(a0)
+ daddu t1,v0
+ sltu v0,t1,v0
+ mflo AT
+ mfhi t0
+ daddu t1,AT
+ daddu v0,t0
+ sltu AT,t1,AT
+ sd t1,16(a0)
+ daddu v0,AT
+ jr ra
+END(bn_mul_add_words)
+
+.align 5
+LEAF(bn_mul_words)
+ .set noreorder
+ bgtzl a2,.L_bn_mul_words_proceed
+ ld t0,0(a1)
+ jr ra
+ move v0,zero
+ .set reorder
+
+.L_bn_mul_words_proceed:
+ li MINUS4,-4
+ and ta0,a2,MINUS4
+ move v0,zero
+ beqz ta0,.L_bn_mul_words_tail
+
+.L_bn_mul_words_loop:
+ dmultu t0,a3
+ ld t2,8(a1)
+ ld ta0,16(a1)
+ ld ta2,24(a1)
+ mflo AT
+ mfhi t0
+ daddu v0,AT
+ sltu t1,v0,AT
+ sd v0,0(a0)
+ daddu v0,t1,t0
+
+ dmultu t2,a3
+ subu a2,4
+ PTR_ADD a0,32
+ PTR_ADD a1,32
+ mflo AT
+ mfhi t2
+ daddu v0,AT
+ sltu t3,v0,AT
+ sd v0,-24(a0)
+ daddu v0,t3,t2
+
+ dmultu ta0,a3
+ mflo AT
+ mfhi ta0
+ daddu v0,AT
+ sltu ta1,v0,AT
+ sd v0,-16(a0)
+ daddu v0,ta1,ta0
+
+
+ dmultu ta2,a3
+ and ta0,a2,MINUS4
+ mflo AT
+ mfhi ta2
+ daddu v0,AT
+ sltu ta3,v0,AT
+ sd v0,-8(a0)
+ daddu v0,ta3,ta2
+ .set noreorder
+ bgtzl ta0,.L_bn_mul_words_loop
+ ld t0,0(a1)
+
+ bnezl a2,.L_bn_mul_words_tail
+ ld t0,0(a1)
+ .set reorder
+
+.L_bn_mul_words_return:
+ jr ra
+
+.L_bn_mul_words_tail:
+ dmultu t0,a3
+ subu a2,1
+ mflo AT
+ mfhi t0
+ daddu v0,AT
+ sltu t1,v0,AT
+ sd v0,0(a0)
+ daddu v0,t1,t0
+ beqz a2,.L_bn_mul_words_return
+
+ ld t0,8(a1)
+ dmultu t0,a3
+ subu a2,1
+ mflo AT
+ mfhi t0
+ daddu v0,AT
+ sltu t1,v0,AT
+ sd v0,8(a0)
+ daddu v0,t1,t0
+ beqz a2,.L_bn_mul_words_return
+
+ ld t0,16(a1)
+ dmultu t0,a3
+ mflo AT
+ mfhi t0
+ daddu v0,AT
+ sltu t1,v0,AT
+ sd v0,16(a0)
+ daddu v0,t1,t0
+ jr ra
+END(bn_mul_words)
+
+.align 5
+LEAF(bn_sqr_words)
+ .set noreorder
+ bgtzl a2,.L_bn_sqr_words_proceed
+ ld t0,0(a1)
+ jr ra
+ move v0,zero
+ .set reorder
+
+.L_bn_sqr_words_proceed:
+ li MINUS4,-4
+ and ta0,a2,MINUS4
+ move v0,zero
+ beqz ta0,.L_bn_sqr_words_tail
+
+.L_bn_sqr_words_loop:
+ dmultu t0,t0
+ ld t2,8(a1)
+ ld ta0,16(a1)
+ ld ta2,24(a1)
+ mflo t1
+ mfhi t0
+ sd t1,0(a0)
+ sd t0,8(a0)
+
+ dmultu t2,t2
+ subu a2,4
+ PTR_ADD a0,64
+ PTR_ADD a1,32
+ mflo t3
+ mfhi t2
+ sd t3,-48(a0)
+ sd t2,-40(a0)
+
+ dmultu ta0,ta0
+ mflo ta1
+ mfhi ta0
+ sd ta1,-32(a0)
+ sd ta0,-24(a0)
+
+
+ dmultu ta2,ta2
+ and ta0,a2,MINUS4
+ mflo ta3
+ mfhi ta2
+ sd ta3,-16(a0)
+ sd ta2,-8(a0)
+
+ .set noreorder
+ bgtzl ta0,.L_bn_sqr_words_loop
+ ld t0,0(a1)
+
+ bnezl a2,.L_bn_sqr_words_tail
+ ld t0,0(a1)
+ .set reorder
+
+.L_bn_sqr_words_return:
+ move v0,zero
+ jr ra
+
+.L_bn_sqr_words_tail:
+ dmultu t0,t0
+ subu a2,1
+ mflo t1
+ mfhi t0
+ sd t1,0(a0)
+ sd t0,8(a0)
+ beqz a2,.L_bn_sqr_words_return
+
+ ld t0,8(a1)
+ dmultu t0,t0
+ subu a2,1
+ mflo t1
+ mfhi t0
+ sd t1,16(a0)
+ sd t0,24(a0)
+ beqz a2,.L_bn_sqr_words_return
+
+ ld t0,16(a1)
+ dmultu t0,t0
+ mflo t1
+ mfhi t0
+ sd t1,32(a0)
+ sd t0,40(a0)
+ jr ra
+END(bn_sqr_words)
+
+.align 5
+LEAF(bn_add_words)
+ .set noreorder
+ bgtzl a3,.L_bn_add_words_proceed
+ ld t0,0(a1)
+ jr ra
+ move v0,zero
+ .set reorder
+
+.L_bn_add_words_proceed:
+ li MINUS4,-4
+ and AT,a3,MINUS4
+ move v0,zero
+ beqz AT,.L_bn_add_words_tail
+
+.L_bn_add_words_loop:
+ ld ta0,0(a2)
+ subu a3,4
+ ld t1,8(a1)
+ and AT,a3,MINUS4
+ ld t2,16(a1)
+ PTR_ADD a2,32
+ ld t3,24(a1)
+ PTR_ADD a0,32
+ ld ta1,-24(a2)
+ PTR_ADD a1,32
+ ld ta2,-16(a2)
+ ld ta3,-8(a2)
+ daddu ta0,t0
+ sltu t8,ta0,t0
+ daddu t0,ta0,v0
+ sltu v0,t0,ta0
+ sd t0,-32(a0)
+ daddu v0,t8
+
+ daddu ta1,t1
+ sltu t9,ta1,t1
+ daddu t1,ta1,v0
+ sltu v0,t1,ta1
+ sd t1,-24(a0)
+ daddu v0,t9
+
+ daddu ta2,t2
+ sltu t8,ta2,t2
+ daddu t2,ta2,v0
+ sltu v0,t2,ta2
+ sd t2,-16(a0)
+ daddu v0,t8
+
+ daddu ta3,t3
+ sltu t9,ta3,t3
+ daddu t3,ta3,v0
+ sltu v0,t3,ta3
+ sd t3,-8(a0)
+ daddu v0,t9
+
+ .set noreorder
+ bgtzl AT,.L_bn_add_words_loop
+ ld t0,0(a1)
+
+ bnezl a3,.L_bn_add_words_tail
+ ld t0,0(a1)
+ .set reorder
+
+.L_bn_add_words_return:
+ jr ra
+
+.L_bn_add_words_tail:
+ ld ta0,0(a2)
+ daddu ta0,t0
+ subu a3,1
+ sltu t8,ta0,t0
+ daddu t0,ta0,v0
+ sltu v0,t0,ta0
+ sd t0,0(a0)
+ daddu v0,t8
+ beqz a3,.L_bn_add_words_return
+
+ ld t1,8(a1)
+ ld ta1,8(a2)
+ daddu ta1,t1
+ subu a3,1
+ sltu t9,ta1,t1
+ daddu t1,ta1,v0
+ sltu v0,t1,ta1
+ sd t1,8(a0)
+ daddu v0,t9
+ beqz a3,.L_bn_add_words_return
+
+ ld t2,16(a1)
+ ld ta2,16(a2)
+ daddu ta2,t2
+ sltu t8,ta2,t2
+ daddu t2,ta2,v0
+ sltu v0,t2,ta2
+ sd t2,16(a0)
+ daddu v0,t8
+ jr ra
+END(bn_add_words)
+
+.align 5
+LEAF(bn_sub_words)
+ .set noreorder
+ bgtzl a3,.L_bn_sub_words_proceed
+ ld t0,0(a1)
+ jr ra
+ move v0,zero
+ .set reorder
+
+.L_bn_sub_words_proceed:
+ li MINUS4,-4
+ and AT,a3,MINUS4
+ move v0,zero
+ beqz AT,.L_bn_sub_words_tail
+
+.L_bn_sub_words_loop:
+ ld ta0,0(a2)
+ subu a3,4
+ ld t1,8(a1)
+ and AT,a3,MINUS4
+ ld t2,16(a1)
+ PTR_ADD a2,32
+ ld t3,24(a1)
+ PTR_ADD a0,32
+ ld ta1,-24(a2)
+ PTR_ADD a1,32
+ ld ta2,-16(a2)
+ ld ta3,-8(a2)
+ sltu t8,t0,ta0
+ dsubu t0,ta0
+ dsubu ta0,t0,v0
+ sd ta0,-32(a0)
+ MOVNZ (t0,v0,t8)
+
+ sltu t9,t1,ta1
+ dsubu t1,ta1
+ dsubu ta1,t1,v0
+ sd ta1,-24(a0)
+ MOVNZ (t1,v0,t9)
+
+
+ sltu t8,t2,ta2
+ dsubu t2,ta2
+ dsubu ta2,t2,v0
+ sd ta2,-16(a0)
+ MOVNZ (t2,v0,t8)
+
+ sltu t9,t3,ta3
+ dsubu t3,ta3
+ dsubu ta3,t3,v0
+ sd ta3,-8(a0)
+ MOVNZ (t3,v0,t9)
+
+ .set noreorder
+ bgtzl AT,.L_bn_sub_words_loop
+ ld t0,0(a1)
+
+ bnezl a3,.L_bn_sub_words_tail
+ ld t0,0(a1)
+ .set reorder
+
+.L_bn_sub_words_return:
+ jr ra
+
+.L_bn_sub_words_tail:
+ ld ta0,0(a2)
+ subu a3,1
+ sltu t8,t0,ta0
+ dsubu t0,ta0
+ dsubu ta0,t0,v0
+ MOVNZ (t0,v0,t8)
+ sd ta0,0(a0)
+ beqz a3,.L_bn_sub_words_return
+
+ ld t1,8(a1)
+ subu a3,1
+ ld ta1,8(a2)
+ sltu t9,t1,ta1
+ dsubu t1,ta1
+ dsubu ta1,t1,v0
+ MOVNZ (t1,v0,t9)
+ sd ta1,8(a0)
+ beqz a3,.L_bn_sub_words_return
+
+ ld t2,16(a1)
+ ld ta2,16(a2)
+ sltu t8,t2,ta2
+ dsubu t2,ta2
+ dsubu ta2,t2,v0
+ MOVNZ (t2,v0,t8)
+ sd ta2,16(a0)
+ jr ra
+END(bn_sub_words)
+
+#undef MINUS4
+
+.align 5
+LEAF(bn_div_3_words)
+ .set reorder
+ move a3,a0 /* we know that bn_div_words doesn't
+ * touch a3, ta2, ta3 and preserves a2
+ * so that we can save two arguments
+ * and return address in registers
+ * instead of stack:-)
+ */
+ ld a0,(a3)
+ move ta2,a1
+ ld a1,-8(a3)
+ bne a0,a2,.L_bn_div_3_words_proceed
+ li v0,-1
+ jr ra
+.L_bn_div_3_words_proceed:
+ move ta3,ra
+ bal bn_div_words
+ move ra,ta3
+ dmultu ta2,v0
+ ld t2,-16(a3)
+ move ta0,zero
+ mfhi t1
+ mflo t0
+ sltu t8,t1,v1
+.L_bn_div_3_words_inner_loop:
+ bnez t8,.L_bn_div_3_words_inner_loop_done
+ sgeu AT,t2,t0
+ seq t9,t1,v1
+ and AT,t9
+ sltu t3,t0,ta2
+ daddu v1,a2
+ dsubu t1,t3
+ dsubu t0,ta2
+ sltu t8,t1,v1
+ sltu ta0,v1,a2
+ or t8,ta0
+ .set noreorder
+ beqzl AT,.L_bn_div_3_words_inner_loop
+ dsubu v0,1
+ .set reorder
+.L_bn_div_3_words_inner_loop_done:
+ jr ra
+END(bn_div_3_words)
+
+.align 5
+LEAF(bn_div_words)
+ .set noreorder
+ bnezl a2,.L_bn_div_words_proceed
+ move v1,zero
+ jr ra
+ li v0,-1 /* I'd rather signal div-by-zero
+ * which can be done with 'break 7' */
+
+.L_bn_div_words_proceed:
+ bltz a2,.L_bn_div_words_body
+ move t9,v1
+ dsll a2,1
+ bgtz a2,.-4
+ addu t9,1
+
+ .set reorder
+ negu t1,t9
+ li t2,-1
+ dsll t2,t1
+ and t2,a0
+ dsrl AT,a1,t1
+ .set noreorder
+ bnezl t2,.+8
+ break 6 /* signal overflow */
+ .set reorder
+ dsll a0,t9
+ dsll a1,t9
+ or a0,AT
+
+#define QT ta0
+#define HH ta1
+#define DH v1
+.L_bn_div_words_body:
+ dsrl DH,a2,32
+ sgeu AT,a0,a2
+ .set noreorder
+ bnezl AT,.+8
+ dsubu a0,a2
+ .set reorder
+
+ li QT,-1
+ dsrl HH,a0,32
+ dsrl QT,32 /* q=0xffffffff */
+ beq DH,HH,.L_bn_div_words_skip_div1
+ ddivu zero,a0,DH
+ mflo QT
+.L_bn_div_words_skip_div1:
+ dmultu a2,QT
+ dsll t3,a0,32
+ dsrl AT,a1,32
+ or t3,AT
+ mflo t0
+ mfhi t1
+.L_bn_div_words_inner_loop1:
+ sltu t2,t3,t0
+ seq t8,HH,t1
+ sltu AT,HH,t1
+ and t2,t8
+ sltu v0,t0,a2
+ or AT,t2
+ .set noreorder
+ beqz AT,.L_bn_div_words_inner_loop1_done
+ dsubu t1,v0
+ dsubu t0,a2
+ b .L_bn_div_words_inner_loop1
+ dsubu QT,1
+ .set reorder
+.L_bn_div_words_inner_loop1_done:
+
+ dsll a1,32
+ dsubu a0,t3,t0
+ dsll v0,QT,32
+
+ li QT,-1
+ dsrl HH,a0,32
+ dsrl QT,32 /* q=0xffffffff */
+ beq DH,HH,.L_bn_div_words_skip_div2
+ ddivu zero,a0,DH
+ mflo QT
+.L_bn_div_words_skip_div2:
+#undef DH
+ dmultu a2,QT
+ dsll t3,a0,32
+ dsrl AT,a1,32
+ or t3,AT
+ mflo t0
+ mfhi t1
+.L_bn_div_words_inner_loop2:
+ sltu t2,t3,t0
+ seq t8,HH,t1
+ sltu AT,HH,t1
+ and t2,t8
+ sltu v1,t0,a2
+ or AT,t2
+ .set noreorder
+ beqz AT,.L_bn_div_words_inner_loop2_done
+ dsubu t1,v1
+ dsubu t0,a2
+ b .L_bn_div_words_inner_loop2
+ dsubu QT,1
+ .set reorder
+.L_bn_div_words_inner_loop2_done:
+#undef HH
+
+ dsubu a0,t3,t0
+ or v0,QT
+ dsrl v1,a0,t9 /* v1 contains remainder if anybody wants it */
+ dsrl a2,t9 /* restore a2 */
+ jr ra
+#undef QT
+END(bn_div_words)
+
+#define a_0 t0
+#define a_1 t1
+#define a_2 t2
+#define a_3 t3
+#define b_0 ta0
+#define b_1 ta1
+#define b_2 ta2
+#define b_3 ta3
+
+#define a_4 s0
+#define a_5 s2
+#define a_6 s4
+#define a_7 a1 /* once we load a[7] we don't need a anymore */
+#define b_4 s1
+#define b_5 s3
+#define b_6 s5
+#define b_7 a2 /* once we load b[7] we don't need b anymore */
+
+#define t_1 t8
+#define t_2 t9
+
+#define c_1 v0
+#define c_2 v1
+#define c_3 a3
+
+#define FRAME_SIZE 48
+
+.align 5
+LEAF(bn_mul_comba8)
+ .set noreorder
+ PTR_SUB sp,FRAME_SIZE
+ .frame sp,64,ra
+ .set reorder
+ ld a_0,0(a1) /* If compiled with -mips3 option on
+ * R5000 box assembler barks on this
+ * line with "shouldn't have mult/div
+ * as last instruction in bb (R10K
+ * bug)" warning. If anybody out there
+ * has a clue about how to circumvent
+ * this do send me a note.
+ * <appro@fy.chalmers.se>
+ */
+ ld b_0,0(a2)
+ ld a_1,8(a1)
+ ld a_2,16(a1)
+ ld a_3,24(a1)
+ ld b_1,8(a2)
+ ld b_2,16(a2)
+ ld b_3,24(a2)
+ dmultu a_0,b_0 /* mul_add_c(a[0],b[0],c1,c2,c3); */
+ sd s0,0(sp)
+ sd s1,8(sp)
+ sd s2,16(sp)
+ sd s3,24(sp)
+ sd s4,32(sp)
+ sd s5,40(sp)
+ mflo c_1
+ mfhi c_2
+
+ dmultu a_0,b_1 /* mul_add_c(a[0],b[1],c2,c3,c1); */
+ ld a_4,32(a1)
+ ld a_5,40(a1)
+ ld a_6,48(a1)
+ ld a_7,56(a1)
+ ld b_4,32(a2)
+ ld b_5,40(a2)
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu c_3,t_2,AT
+ dmultu a_1,b_0 /* mul_add_c(a[1],b[0],c2,c3,c1); */
+ ld b_6,48(a2)
+ ld b_7,56(a2)
+ sd c_1,0(a0) /* r[0]=c1; */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ sd c_2,8(a0) /* r[1]=c2; */
+
+ dmultu a_2,b_0 /* mul_add_c(a[2],b[0],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ dmultu a_1,b_1 /* mul_add_c(a[1],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_0,b_2 /* mul_add_c(a[0],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,16(a0) /* r[2]=c3; */
+
+ dmultu a_0,b_3 /* mul_add_c(a[0],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu c_3,c_2,t_2
+ dmultu a_1,b_2 /* mul_add_c(a[1],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_2,b_1 /* mul_add_c(a[2],b[1],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_3,b_0 /* mul_add_c(a[3],b[0],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,24(a0) /* r[3]=c1; */
+
+ dmultu a_4,b_0 /* mul_add_c(a[4],b[0],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ dmultu a_3,b_1 /* mul_add_c(a[3],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_2,b_2 /* mul_add_c(a[2],b[2],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_1,b_3 /* mul_add_c(a[1],b[3],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_0,b_4 /* mul_add_c(a[0],b[4],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,32(a0) /* r[4]=c2; */
+
+ dmultu a_0,b_5 /* mul_add_c(a[0],b[5],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_1,b_4 /* mul_add_c(a[1],b[4],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_2,b_3 /* mul_add_c(a[2],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_3,b_2 /* mul_add_c(a[3],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_4,b_1 /* mul_add_c(a[4],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_5,b_0 /* mul_add_c(a[5],b[0],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,40(a0) /* r[5]=c3; */
+
+ dmultu a_6,b_0 /* mul_add_c(a[6],b[0],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu c_3,c_2,t_2
+ dmultu a_5,b_1 /* mul_add_c(a[5],b[1],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_4,b_2 /* mul_add_c(a[4],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_3,b_3 /* mul_add_c(a[3],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_2,b_4 /* mul_add_c(a[2],b[4],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_1,b_5 /* mul_add_c(a[1],b[5],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_0,b_6 /* mul_add_c(a[0],b[6],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,48(a0) /* r[6]=c1; */
+
+ dmultu a_0,b_7 /* mul_add_c(a[0],b[7],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ dmultu a_1,b_6 /* mul_add_c(a[1],b[6],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_2,b_5 /* mul_add_c(a[2],b[5],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_3,b_4 /* mul_add_c(a[3],b[4],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_4,b_3 /* mul_add_c(a[4],b[3],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_5,b_2 /* mul_add_c(a[5],b[2],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_6,b_1 /* mul_add_c(a[6],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_7,b_0 /* mul_add_c(a[7],b[0],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,56(a0) /* r[7]=c2; */
+
+ dmultu a_7,b_1 /* mul_add_c(a[7],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_6,b_2 /* mul_add_c(a[6],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_5,b_3 /* mul_add_c(a[5],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_4,b_4 /* mul_add_c(a[4],b[4],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_3,b_5 /* mul_add_c(a[3],b[5],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_2,b_6 /* mul_add_c(a[2],b[6],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_1,b_7 /* mul_add_c(a[1],b[7],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,64(a0) /* r[8]=c3; */
+
+ dmultu a_2,b_7 /* mul_add_c(a[2],b[7],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu c_3,c_2,t_2
+ dmultu a_3,b_6 /* mul_add_c(a[3],b[6],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_4,b_5 /* mul_add_c(a[4],b[5],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_5,b_4 /* mul_add_c(a[5],b[4],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_6,b_3 /* mul_add_c(a[6],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_7,b_2 /* mul_add_c(a[7],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,72(a0) /* r[9]=c1; */
+
+ dmultu a_7,b_3 /* mul_add_c(a[7],b[3],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ dmultu a_6,b_4 /* mul_add_c(a[6],b[4],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_5,b_5 /* mul_add_c(a[5],b[5],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_4,b_6 /* mul_add_c(a[4],b[6],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_3,b_7 /* mul_add_c(a[3],b[7],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,80(a0) /* r[10]=c2; */
+
+ dmultu a_4,b_7 /* mul_add_c(a[4],b[7],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_5,b_6 /* mul_add_c(a[5],b[6],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_6,b_5 /* mul_add_c(a[6],b[5],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_7,b_4 /* mul_add_c(a[7],b[4],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,88(a0) /* r[11]=c3; */
+
+ dmultu a_7,b_5 /* mul_add_c(a[7],b[5],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu c_3,c_2,t_2
+ dmultu a_6,b_6 /* mul_add_c(a[6],b[6],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_5,b_7 /* mul_add_c(a[5],b[7],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,96(a0) /* r[12]=c1; */
+
+ dmultu a_6,b_7 /* mul_add_c(a[6],b[7],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ dmultu a_7,b_6 /* mul_add_c(a[7],b[6],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,104(a0) /* r[13]=c2; */
+
+ dmultu a_7,b_7 /* mul_add_c(a[7],b[7],c3,c1,c2); */
+ ld s0,0(sp)
+ ld s1,8(sp)
+ ld s2,16(sp)
+ ld s3,24(sp)
+ ld s4,32(sp)
+ ld s5,40(sp)
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sd c_3,112(a0) /* r[14]=c3; */
+ sd c_1,120(a0) /* r[15]=c1; */
+
+ PTR_ADD sp,FRAME_SIZE
+
+ jr ra
+END(bn_mul_comba8)
+
+.align 5
+LEAF(bn_mul_comba4)
+ .set reorder
+ ld a_0,0(a1)
+ ld b_0,0(a2)
+ ld a_1,8(a1)
+ ld a_2,16(a1)
+ dmultu a_0,b_0 /* mul_add_c(a[0],b[0],c1,c2,c3); */
+ ld a_3,24(a1)
+ ld b_1,8(a2)
+ ld b_2,16(a2)
+ ld b_3,24(a2)
+ mflo c_1
+ mfhi c_2
+ sd c_1,0(a0)
+
+ dmultu a_0,b_1 /* mul_add_c(a[0],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu c_3,t_2,AT
+ dmultu a_1,b_0 /* mul_add_c(a[1],b[0],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ sd c_2,8(a0)
+
+ dmultu a_2,b_0 /* mul_add_c(a[2],b[0],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ dmultu a_1,b_1 /* mul_add_c(a[1],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_0,b_2 /* mul_add_c(a[0],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,16(a0)
+
+ dmultu a_0,b_3 /* mul_add_c(a[0],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu c_3,c_2,t_2
+ dmultu a_1,b_2 /* mul_add_c(a[1],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_2,b_1 /* mul_add_c(a[2],b[1],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_3,b_0 /* mul_add_c(a[3],b[0],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,24(a0)
+
+ dmultu a_3,b_1 /* mul_add_c(a[3],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu c_1,c_3,t_2
+ dmultu a_2,b_2 /* mul_add_c(a[2],b[2],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_1,b_3 /* mul_add_c(a[1],b[3],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,32(a0)
+
+ dmultu a_2,b_3 /* mul_add_c(a[2],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu c_2,c_1,t_2
+ dmultu a_3,b_2 /* mul_add_c(a[3],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,40(a0)
+
+ dmultu a_3,b_3 /* mul_add_c(a[3],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sd c_1,48(a0)
+ sd c_2,56(a0)
+
+ jr ra
+END(bn_mul_comba4)
+
+#undef a_4
+#undef a_5
+#undef a_6
+#undef a_7
+#define a_4 b_0
+#define a_5 b_1
+#define a_6 b_2
+#define a_7 b_3
+
+.align 5
+LEAF(bn_sqr_comba8)
+ .set reorder
+ ld a_0,0(a1)
+ ld a_1,8(a1)
+ ld a_2,16(a1)
+ ld a_3,24(a1)
+
+ dmultu a_0,a_0 /* mul_add_c(a[0],b[0],c1,c2,c3); */
+ ld a_4,32(a1)
+ ld a_5,40(a1)
+ ld a_6,48(a1)
+ ld a_7,56(a1)
+ mflo c_1
+ mfhi c_2
+ sd c_1,0(a0)
+
+ dmultu a_0,a_1 /* mul_add_c2(a[0],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu c_3,t_2,AT
+ sd c_2,8(a0)
+
+ dmultu a_2,a_0 /* mul_add_c2(a[2],b[0],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_1,a_1 /* mul_add_c(a[1],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,16(a0)
+
+ dmultu a_0,a_3 /* mul_add_c2(a[0],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt c_3,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_1,a_2 /* mul_add_c2(a[1],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,24(a0)
+
+ dmultu a_4,a_0 /* mul_add_c2(a[4],b[0],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_3,a_1 /* mul_add_c2(a[3],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_1,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_2,a_2 /* mul_add_c(a[2],b[2],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,32(a0)
+
+ dmultu a_0,a_5 /* mul_add_c2(a[0],b[5],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_1,a_4 /* mul_add_c2(a[1],b[4],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_2,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_2,a_3 /* mul_add_c2(a[2],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_2,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,40(a0)
+
+ dmultu a_6,a_0 /* mul_add_c2(a[6],b[0],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt c_3,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_5,a_1 /* mul_add_c2(a[5],b[1],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_4,a_2 /* mul_add_c2(a[4],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_3,a_3 /* mul_add_c(a[3],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,48(a0)
+
+ dmultu a_0,a_7 /* mul_add_c2(a[0],b[7],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_1,a_6 /* mul_add_c2(a[1],b[6],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_1,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_2,a_5 /* mul_add_c2(a[2],b[5],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_1,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_3,a_4 /* mul_add_c2(a[3],b[4],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_1,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,56(a0)
+
+ dmultu a_7,a_1 /* mul_add_c2(a[7],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_6,a_2 /* mul_add_c2(a[6],b[2],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_2,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_5,a_3 /* mul_add_c2(a[5],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_2,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_4,a_4 /* mul_add_c(a[4],b[4],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,64(a0)
+
+ dmultu a_2,a_7 /* mul_add_c2(a[2],b[7],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt c_3,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_3,a_6 /* mul_add_c2(a[3],b[6],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_4,a_5 /* mul_add_c2(a[4],b[5],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,72(a0)
+
+ dmultu a_7,a_3 /* mul_add_c2(a[7],b[3],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_6,a_4 /* mul_add_c2(a[6],b[4],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_1,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_5,a_5 /* mul_add_c(a[5],b[5],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,80(a0)
+
+ dmultu a_4,a_7 /* mul_add_c2(a[4],b[7],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_5,a_6 /* mul_add_c2(a[5],b[6],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_2,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,88(a0)
+
+ dmultu a_7,a_5 /* mul_add_c2(a[7],b[5],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt c_3,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_6,a_6 /* mul_add_c(a[6],b[6],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,96(a0)
+
+ dmultu a_6,a_7 /* mul_add_c2(a[6],b[7],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,104(a0)
+
+ dmultu a_7,a_7 /* mul_add_c(a[7],b[7],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sd c_3,112(a0)
+ sd c_1,120(a0)
+
+ jr ra
+END(bn_sqr_comba8)
+
+.align 5
+LEAF(bn_sqr_comba4)
+ .set reorder
+ ld a_0,0(a1)
+ ld a_1,8(a1)
+ ld a_2,16(a1)
+ ld a_3,24(a1)
+ dmultu a_0,a_0 /* mul_add_c(a[0],b[0],c1,c2,c3); */
+ mflo c_1
+ mfhi c_2
+ sd c_1,0(a0)
+
+ dmultu a_0,a_1 /* mul_add_c2(a[0],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu c_3,t_2,AT
+ sd c_2,8(a0)
+
+ dmultu a_2,a_0 /* mul_add_c2(a[2],b[0],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ dmultu a_1,a_1 /* mul_add_c(a[1],b[1],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,16(a0)
+
+ dmultu a_0,a_3 /* mul_add_c2(a[0],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt c_3,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ dmultu a_1,a_2 /* mul_add_c(a2[1],b[2],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ slt AT,t_2,zero
+ daddu c_3,AT
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sltu AT,c_2,t_2
+ daddu c_3,AT
+ sd c_1,24(a0)
+
+ dmultu a_3,a_1 /* mul_add_c2(a[3],b[1],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ slt c_1,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ dmultu a_2,a_2 /* mul_add_c(a[2],b[2],c2,c3,c1); */
+ mflo t_1
+ mfhi t_2
+ daddu c_2,t_1
+ sltu AT,c_2,t_1
+ daddu t_2,AT
+ daddu c_3,t_2
+ sltu AT,c_3,t_2
+ daddu c_1,AT
+ sd c_2,32(a0)
+
+ dmultu a_2,a_3 /* mul_add_c2(a[2],b[3],c3,c1,c2); */
+ mflo t_1
+ mfhi t_2
+ slt c_2,t_2,zero
+ dsll t_2,1
+ slt a2,t_1,zero
+ daddu t_2,a2
+ dsll t_1,1
+ daddu c_3,t_1
+ sltu AT,c_3,t_1
+ daddu t_2,AT
+ daddu c_1,t_2
+ sltu AT,c_1,t_2
+ daddu c_2,AT
+ sd c_3,40(a0)
+
+ dmultu a_3,a_3 /* mul_add_c(a[3],b[3],c1,c2,c3); */
+ mflo t_1
+ mfhi t_2
+ daddu c_1,t_1
+ sltu AT,c_1,t_1
+ daddu t_2,AT
+ daddu c_2,t_2
+ sd c_1,48(a0)
+ sd c_2,56(a0)
+
+ jr ra
+END(bn_sqr_comba4)
diff --git a/openssl/crypto/bn/asm/pa-risc2.s b/openssl/crypto/bn/asm/pa-risc2.s
new file mode 100644
index 00000000..f3b16290
--- /dev/null
+++ b/openssl/crypto/bn/asm/pa-risc2.s
@@ -0,0 +1,1618 @@
+;
+; PA-RISC 2.0 implementation of bn_asm code, based on the
+; 64-bit version of the code. This code is effectively the
+; same as the 64-bit version except the register model is
+; slightly different given all values must be 32-bit between
+; function calls. Thus the 64-bit return values are returned
+; in %ret0 and %ret1 vs just %ret0 as is done in 64-bit
+;
+;
+; This code is approximately 2x faster than the C version
+; for RSA/DSA.
+;
+; See http://devresource.hp.com/ for more details on the PA-RISC
+; architecture. Also see the book "PA-RISC 2.0 Architecture"
+; by Gerry Kane for information on the instruction set architecture.
+;
+; Code written by Chris Ruemmler (with some help from the HP C
+; compiler).
+;
+; The code compiles with HP's assembler
+;
+
+ .level 2.0N
+ .space $TEXT$
+ .subspa $CODE$,QUAD=0,ALIGN=8,ACCESS=0x2c,CODE_ONLY
+
+;
+; Global Register definitions used for the routines.
+;
+; Some information about HP's runtime architecture for 32-bits.
+;
+; "Caller save" means the calling function must save the register
+; if it wants the register to be preserved.
+; "Callee save" means if a function uses the register, it must save
+; the value before using it.
+;
+; For the floating point registers
+;
+; "caller save" registers: fr4-fr11, fr22-fr31
+; "callee save" registers: fr12-fr21
+; "special" registers: fr0-fr3 (status and exception registers)
+;
+; For the integer registers
+; value zero : r0
+; "caller save" registers: r1,r19-r26
+; "callee save" registers: r3-r18
+; return register : r2 (rp)
+; return values ; r28,r29 (ret0,ret1)
+; Stack pointer ; r30 (sp)
+; millicode return ptr ; r31 (also a caller save register)
+
+
+;
+; Arguments to the routines
+;
+r_ptr .reg %r26
+a_ptr .reg %r25
+b_ptr .reg %r24
+num .reg %r24
+n .reg %r23
+
+;
+; Note that the "w" argument for bn_mul_add_words and bn_mul_words
+; is passed on the stack at a delta of -56 from the top of stack
+; as the routine is entered.
+;
+
+;
+; Globals used in some routines
+;
+
+top_overflow .reg %r23
+high_mask .reg %r22 ; value 0xffffffff80000000L
+
+
+;------------------------------------------------------------------------------
+;
+; bn_mul_add_words
+;
+;BN_ULONG bn_mul_add_words(BN_ULONG *r_ptr, BN_ULONG *a_ptr,
+; int num, BN_ULONG w)
+;
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg3 = num
+; -56(sp) = w
+;
+; Local register definitions
+;
+
+fm1 .reg %fr22
+fm .reg %fr23
+ht_temp .reg %fr24
+ht_temp_1 .reg %fr25
+lt_temp .reg %fr26
+lt_temp_1 .reg %fr27
+fm1_1 .reg %fr28
+fm_1 .reg %fr29
+
+fw_h .reg %fr7L
+fw_l .reg %fr7R
+fw .reg %fr7
+
+fht_0 .reg %fr8L
+flt_0 .reg %fr8R
+t_float_0 .reg %fr8
+
+fht_1 .reg %fr9L
+flt_1 .reg %fr9R
+t_float_1 .reg %fr9
+
+tmp_0 .reg %r31
+tmp_1 .reg %r21
+m_0 .reg %r20
+m_1 .reg %r19
+ht_0 .reg %r1
+ht_1 .reg %r3
+lt_0 .reg %r4
+lt_1 .reg %r5
+m1_0 .reg %r6
+m1_1 .reg %r7
+rp_val .reg %r8
+rp_val_1 .reg %r9
+
+bn_mul_add_words
+ .export bn_mul_add_words,entry,NO_RELOCATION,LONG_RETURN
+ .proc
+ .callinfo frame=128
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ NOP ; Needed to make the loop 16-byte aligned
+ NOP ; needed to make the loop 16-byte aligned
+
+ STD %r5,16(%sp) ; save r5
+ NOP
+ STD %r6,24(%sp) ; save r6
+ STD %r7,32(%sp) ; save r7
+
+ STD %r8,40(%sp) ; save r8
+ STD %r9,48(%sp) ; save r9
+ COPY %r0,%ret1 ; return 0 by default
+ DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
+
+ CMPIB,>= 0,num,bn_mul_add_words_exit ; if (num <= 0) then exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; The loop is unrolled twice, so if there is only 1 number
+ ; then go straight to the cleanup code.
+ ;
+ CMPIB,= 1,num,bn_mul_add_words_single_top
+ FLDD -184(%sp),fw ; (-56-128) load up w into fw (fw_h/fw_l)
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+ ; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
+ ; two 32-bit mutiplies can be issued per cycle.
+ ;
+bn_mul_add_words_unroll2
+
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ LDD 0(r_ptr),rp_val ; rp[0]
+ LDD 8(r_ptr),rp_val_1 ; rp[1]
+
+ XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
+ XMPYU fht_1,fw_l,fm1_1 ; m1[1] = fht_1*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1[0]
+ FSTD fm1_1,-48(%sp) ; -48(sp) = m1[1]
+
+ XMPYU flt_0,fw_h,fm ; m[0] = flt_0*fw_h
+ XMPYU flt_1,fw_h,fm_1 ; m[1] = flt_1*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m[0]
+ FSTD fm_1,-40(%sp) ; -40(sp) = m[1]
+
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
+ XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp_1 = fht_1*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht_temp
+ FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht_temp_1
+
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt_temp
+ FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt_temp_1
+
+ LDD -8(%sp),m_0 ; m[0]
+ LDD -40(%sp),m_1 ; m[1]
+ LDD -16(%sp),m1_0 ; m1[0]
+ LDD -48(%sp),m1_1 ; m1[1]
+
+ LDD -24(%sp),ht_0 ; ht[0]
+ LDD -56(%sp),ht_1 ; ht[1]
+ ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m[0] + m1[0];
+ ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m[1] + m1[1];
+
+ LDD -32(%sp),lt_0
+ LDD -64(%sp),lt_1
+ CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m[0] < m1[0])
+ ADD,L ht_0,top_overflow,ht_0 ; ht[0] += (1<<32)
+
+ CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m[1] < m1[1])
+ ADD,L ht_1,top_overflow,ht_1 ; ht[1] += (1<<32)
+ EXTRD,U tmp_0,31,32,m_0 ; m[0]>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1[0] = m[0]<<32
+
+ EXTRD,U tmp_1,31,32,m_1 ; m[1]>>32
+ DEPD,Z tmp_1,31,32,m1_1 ; m1[1] = m[1]<<32
+ ADD,L ht_0,m_0,ht_0 ; ht[0]+= (m[0]>>32)
+ ADD,L ht_1,m_1,ht_1 ; ht[1]+= (m[1]>>32)
+
+ ADD lt_0,m1_0,lt_0 ; lt[0] = lt[0]+m1[0];
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ ADD lt_1,m1_1,lt_1 ; lt[1] = lt[1]+m1[1];
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+
+ ADD %ret1,lt_0,lt_0 ; lt[0] = lt[0] + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ ADD lt_0,rp_val,lt_0 ; lt[0] = lt[0]+rp[0]
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+
+ LDO -2(num),num ; num = num - 2;
+ ADD ht_0,lt_1,lt_1 ; lt[1] = lt[1] + ht_0 (c);
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+ STD lt_0,0(r_ptr) ; rp[0] = lt[0]
+
+ ADD lt_1,rp_val_1,lt_1 ; lt[1] = lt[1]+rp[1]
+ ADD,DC ht_1,%r0,%ret1 ; ht[1]++
+ LDO 16(a_ptr),a_ptr ; a_ptr += 2
+
+ STD lt_1,8(r_ptr) ; rp[1] = lt[1]
+ CMPIB,<= 2,num,bn_mul_add_words_unroll2 ; go again if more to do
+ LDO 16(r_ptr),r_ptr ; r_ptr += 2
+
+ CMPIB,=,N 0,num,bn_mul_add_words_exit ; are we done, or cleanup last one
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_mul_add_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ LDD 0(r_ptr),rp_val ; rp[0]
+ LDO 8(a_ptr),a_ptr ; a_ptr++
+ XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+
+ LDD -8(%sp),m_0
+ LDD -16(%sp),m1_0 ; m1 = temp1
+ ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
+ LDD -24(%sp),ht_0
+ LDD -32(%sp),lt_0
+
+ CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD lt_0,m1_0,tmp_0 ; tmp_0 = lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+ ADD %ret1,tmp_0,lt_0 ; lt = lt + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+ ADD lt_0,rp_val,lt_0 ; lt = lt+rp[0]
+ ADD,DC ht_0,%r0,%ret1 ; ht++
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+
+bn_mul_add_words_exit
+ .EXIT
+
+ EXTRD,U %ret1,31,32,%ret0 ; for 32-bit, return in ret0/ret1
+ LDD -80(%sp),%r9 ; restore r9
+ LDD -88(%sp),%r8 ; restore r8
+ LDD -96(%sp),%r7 ; restore r7
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3 ; restore r3
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+;
+; arg0 = rp
+; arg1 = ap
+; arg3 = num
+; w on stack at -56(sp)
+
+bn_mul_words
+ .proc
+ .callinfo frame=128
+ .entry
+ .EXPORT bn_mul_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ NOP
+ STD %r5,16(%sp) ; save r5
+
+ STD %r6,24(%sp) ; save r6
+ STD %r7,32(%sp) ; save r7
+ COPY %r0,%ret1 ; return 0 by default
+ DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
+
+ CMPIB,>= 0,num,bn_mul_words_exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; See if only 1 word to do, thus just do cleanup
+ ;
+ CMPIB,= 1,num,bn_mul_words_single_top
+ FLDD -184(%sp),fw ; (-56-128) load up w into fw (fw_h/fw_l)
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+ ; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
+ ; two 32-bit mutiplies can be issued per cycle.
+ ;
+bn_mul_words_unroll2
+
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
+ XMPYU fht_1,fw_l,fm1_1 ; m1[1] = ht*fw_l
+
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ FSTD fm1_1,-48(%sp) ; -48(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ XMPYU flt_1,fw_h,fm_1 ; m = lt*fw_h
+
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ FSTD fm_1,-40(%sp) ; -40(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
+ XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp = ht*fw_h
+
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
+
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+ FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt
+ LDD -8(%sp),m_0
+ LDD -40(%sp),m_1
+
+ LDD -16(%sp),m1_0
+ LDD -48(%sp),m1_1
+ LDD -24(%sp),ht_0
+ LDD -56(%sp),ht_1
+
+ ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m + m1;
+ ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m + m1;
+ LDD -32(%sp),lt_0
+ LDD -64(%sp),lt_1
+
+ CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+ CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m < m1)
+ ADD,L ht_1,top_overflow,ht_1 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+ EXTRD,U tmp_1,31,32,m_1 ; m>>32
+ DEPD,Z tmp_1,31,32,m1_1 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD,L ht_1,m_1,ht_1 ; ht+= (m>>32)
+ ADD lt_0,m1_0,lt_0 ; lt = lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD lt_1,m1_1,lt_1 ; lt = lt+m1;
+ ADD,DC ht_1,%r0,ht_1 ; ht++
+ ADD %ret1,lt_0,lt_0 ; lt = lt + c (ret1);
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD ht_0,lt_1,lt_1 ; lt = lt + c (ht_0)
+ ADD,DC ht_1,%r0,ht_1 ; ht++
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+ STD lt_1,8(r_ptr) ; rp[1] = lt
+
+ COPY ht_1,%ret1 ; carry = ht
+ LDO -2(num),num ; num = num - 2;
+ LDO 16(a_ptr),a_ptr ; ap += 2
+ CMPIB,<= 2,num,bn_mul_words_unroll2
+ LDO 16(r_ptr),r_ptr ; rp++
+
+ CMPIB,=,N 0,num,bn_mul_words_exit ; are we done?
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_mul_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+
+ XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+
+ LDD -8(%sp),m_0
+ LDD -16(%sp),m1_0
+ ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
+ LDD -24(%sp),ht_0
+ LDD -32(%sp),lt_0
+
+ CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD lt_0,m1_0,lt_0 ; lt= lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD %ret1,lt_0,lt_0 ; lt = lt + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ COPY ht_0,%ret1 ; copy carry
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+
+bn_mul_words_exit
+ .EXIT
+ EXTRD,U %ret1,31,32,%ret0 ; for 32-bit, return in ret0/ret1
+ LDD -96(%sp),%r7 ; restore r7
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3 ; restore r3
+ .PROCEND
+
+;----------------------------------------------------------------------------
+;
+;void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = num
+;
+
+bn_sqr_words
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ NOP
+ STD %r5,16(%sp) ; save r5
+
+ CMPIB,>= 0,num,bn_sqr_words_exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; If only 1, the goto straight to cleanup
+ ;
+ CMPIB,= 1,num,bn_sqr_words_single_top
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+
+bn_sqr_words_unroll2
+ FLDD 0(a_ptr),t_float_0 ; a[0]
+ FLDD 8(a_ptr),t_float_1 ; a[1]
+ XMPYU fht_0,flt_0,fm ; m[0]
+ XMPYU fht_1,flt_1,fm_1 ; m[1]
+
+ FSTD fm,-24(%sp) ; store m[0]
+ FSTD fm_1,-56(%sp) ; store m[1]
+ XMPYU flt_0,flt_0,lt_temp ; lt[0]
+ XMPYU flt_1,flt_1,lt_temp_1 ; lt[1]
+
+ FSTD lt_temp,-16(%sp) ; store lt[0]
+ FSTD lt_temp_1,-48(%sp) ; store lt[1]
+ XMPYU fht_0,fht_0,ht_temp ; ht[0]
+ XMPYU fht_1,fht_1,ht_temp_1 ; ht[1]
+
+ FSTD ht_temp,-8(%sp) ; store ht[0]
+ FSTD ht_temp_1,-40(%sp) ; store ht[1]
+ LDD -24(%sp),m_0
+ LDD -56(%sp),m_1
+
+ AND m_0,high_mask,tmp_0 ; m[0] & Mask
+ AND m_1,high_mask,tmp_1 ; m[1] & Mask
+ DEPD,Z m_0,30,31,m_0 ; m[0] << 32+1
+ DEPD,Z m_1,30,31,m_1 ; m[1] << 32+1
+
+ LDD -16(%sp),lt_0
+ LDD -48(%sp),lt_1
+ EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m[0]&Mask >> 32-1
+ EXTRD,U tmp_1,32,33,tmp_1 ; tmp_1 = m[1]&Mask >> 32-1
+
+ LDD -8(%sp),ht_0
+ LDD -40(%sp),ht_1
+ ADD,L ht_0,tmp_0,ht_0 ; ht[0] += tmp_0
+ ADD,L ht_1,tmp_1,ht_1 ; ht[1] += tmp_1
+
+ ADD lt_0,m_0,lt_0 ; lt = lt+m
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ STD lt_0,0(r_ptr) ; rp[0] = lt[0]
+ STD ht_0,8(r_ptr) ; rp[1] = ht[1]
+
+ ADD lt_1,m_1,lt_1 ; lt = lt+m
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+ STD lt_1,16(r_ptr) ; rp[2] = lt[1]
+ STD ht_1,24(r_ptr) ; rp[3] = ht[1]
+
+ LDO -2(num),num ; num = num - 2;
+ LDO 16(a_ptr),a_ptr ; ap += 2
+ CMPIB,<= 2,num,bn_sqr_words_unroll2
+ LDO 32(r_ptr),r_ptr ; rp += 4
+
+ CMPIB,=,N 0,num,bn_sqr_words_exit ; are we done?
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_sqr_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+
+ XMPYU fht_0,flt_0,fm ; m
+ FSTD fm,-24(%sp) ; store m
+
+ XMPYU flt_0,flt_0,lt_temp ; lt
+ FSTD lt_temp,-16(%sp) ; store lt
+
+ XMPYU fht_0,fht_0,ht_temp ; ht
+ FSTD ht_temp,-8(%sp) ; store ht
+
+ LDD -24(%sp),m_0 ; load m
+ AND m_0,high_mask,tmp_0 ; m & Mask
+ DEPD,Z m_0,30,31,m_0 ; m << 32+1
+ LDD -16(%sp),lt_0 ; lt
+
+ LDD -8(%sp),ht_0 ; ht
+ EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m&Mask >> 32-1
+ ADD m_0,lt_0,lt_0 ; lt = lt+m
+ ADD,L ht_0,tmp_0,ht_0 ; ht += tmp_0
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+ STD ht_0,8(r_ptr) ; rp[1] = ht
+
+bn_sqr_words_exit
+ .EXIT
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = bp
+; arg3 = n
+
+t .reg %r22
+b .reg %r21
+l .reg %r20
+
+bn_add_words
+ .proc
+ .entry
+ .callinfo
+ .EXPORT bn_add_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .align 64
+
+ CMPIB,>= 0,n,bn_add_words_exit
+ COPY %r0,%ret1 ; return 0 by default
+
+ ;
+ ; If 2 or more numbers do the loop
+ ;
+ CMPIB,= 1,n,bn_add_words_single_top
+ NOP
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+bn_add_words_unroll2
+ LDD 0(a_ptr),t
+ LDD 0(b_ptr),b
+ ADD t,%ret1,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret1 ; set c to carry
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret1,%r0,%ret1 ; c+= carry
+ STD l,0(r_ptr)
+
+ LDD 8(a_ptr),t
+ LDD 8(b_ptr),b
+ ADD t,%ret1,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret1 ; set c to carry
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret1,%r0,%ret1 ; c+= carry
+ STD l,8(r_ptr)
+
+ LDO -2(n),n
+ LDO 16(a_ptr),a_ptr
+ LDO 16(b_ptr),b_ptr
+
+ CMPIB,<= 2,n,bn_add_words_unroll2
+ LDO 16(r_ptr),r_ptr
+
+ CMPIB,=,N 0,n,bn_add_words_exit ; are we done?
+
+bn_add_words_single_top
+ LDD 0(a_ptr),t
+ LDD 0(b_ptr),b
+
+ ADD t,%ret1,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret1 ; set c to carry (could use CMPCLR??)
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret1,%r0,%ret1 ; c+= carry
+ STD l,0(r_ptr)
+
+bn_add_words_exit
+ .EXIT
+ BVE (%rp)
+ EXTRD,U %ret1,31,32,%ret0 ; for 32-bit, return in ret0/ret1
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = bp
+; arg3 = n
+
+t1 .reg %r22
+t2 .reg %r21
+sub_tmp1 .reg %r20
+sub_tmp2 .reg %r19
+
+
+bn_sub_words
+ .proc
+ .callinfo
+ .EXPORT bn_sub_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ CMPIB,>= 0,n,bn_sub_words_exit
+ COPY %r0,%ret1 ; return 0 by default
+
+ ;
+ ; If 2 or more numbers do the loop
+ ;
+ CMPIB,= 1,n,bn_sub_words_single_top
+ NOP
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+bn_sub_words_unroll2
+ LDD 0(a_ptr),t1
+ LDD 0(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret1,sub_tmp1 ; t3 = t3- c;
+
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret1
+ STD sub_tmp1,0(r_ptr)
+
+ LDD 8(a_ptr),t1
+ LDD 8(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret1,sub_tmp1 ; t3 = t3- c;
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret1
+ STD sub_tmp1,8(r_ptr)
+
+ LDO -2(n),n
+ LDO 16(a_ptr),a_ptr
+ LDO 16(b_ptr),b_ptr
+
+ CMPIB,<= 2,n,bn_sub_words_unroll2
+ LDO 16(r_ptr),r_ptr
+
+ CMPIB,=,N 0,n,bn_sub_words_exit ; are we done?
+
+bn_sub_words_single_top
+ LDD 0(a_ptr),t1
+ LDD 0(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret1,sub_tmp1 ; t3 = t3- c;
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret1
+
+ STD sub_tmp1,0(r_ptr)
+
+bn_sub_words_exit
+ .EXIT
+ BVE (%rp)
+ EXTRD,U %ret1,31,32,%ret0 ; for 32-bit, return in ret0/ret1
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;------------------------------------------------------------------------------
+;
+; unsigned long bn_div_words(unsigned long h, unsigned long l, unsigned long d)
+;
+; arg0 = h
+; arg1 = l
+; arg2 = d
+;
+; This is mainly just output from the HP C compiler.
+;
+;------------------------------------------------------------------------------
+bn_div_words
+ .PROC
+ .EXPORT bn_div_words,ENTRY,PRIV_LEV=3,ARGW0=GR,ARGW1=GR,ARGW2=GR,ARGW3=GR,RTNVAL=GR,LONG_RETURN
+ .IMPORT BN_num_bits_word,CODE
+ ;--- not PIC .IMPORT __iob,DATA
+ ;--- not PIC .IMPORT fprintf,CODE
+ .IMPORT abort,CODE
+ .IMPORT $$div2U,MILLICODE
+ .CALLINFO CALLER,FRAME=144,ENTRY_GR=%r9,SAVE_RP,ARGS_SAVED,ORDERING_AWARE
+ .ENTRY
+ STW %r2,-20(%r30) ;offset 0x8ec
+ STW,MA %r3,192(%r30) ;offset 0x8f0
+ STW %r4,-188(%r30) ;offset 0x8f4
+ DEPD %r5,31,32,%r6 ;offset 0x8f8
+ STD %r6,-184(%r30) ;offset 0x8fc
+ DEPD %r7,31,32,%r8 ;offset 0x900
+ STD %r8,-176(%r30) ;offset 0x904
+ STW %r9,-168(%r30) ;offset 0x908
+ LDD -248(%r30),%r3 ;offset 0x90c
+ COPY %r26,%r4 ;offset 0x910
+ COPY %r24,%r5 ;offset 0x914
+ DEPD %r25,31,32,%r4 ;offset 0x918
+ CMPB,*<> %r3,%r0,$0006000C ;offset 0x91c
+ DEPD %r23,31,32,%r5 ;offset 0x920
+ MOVIB,TR -1,%r29,$00060002 ;offset 0x924
+ EXTRD,U %r29,31,32,%r28 ;offset 0x928
+$0006002A
+ LDO -1(%r29),%r29 ;offset 0x92c
+ SUB %r23,%r7,%r23 ;offset 0x930
+$00060024
+ SUB %r4,%r31,%r25 ;offset 0x934
+ AND %r25,%r19,%r26 ;offset 0x938
+ CMPB,*<>,N %r0,%r26,$00060046 ;offset 0x93c
+ DEPD,Z %r25,31,32,%r20 ;offset 0x940
+ OR %r20,%r24,%r21 ;offset 0x944
+ CMPB,*<<,N %r21,%r23,$0006002A ;offset 0x948
+ SUB %r31,%r2,%r31 ;offset 0x94c
+$00060046
+$0006002E
+ DEPD,Z %r23,31,32,%r25 ;offset 0x950
+ EXTRD,U %r23,31,32,%r26 ;offset 0x954
+ AND %r25,%r19,%r24 ;offset 0x958
+ ADD,L %r31,%r26,%r31 ;offset 0x95c
+ CMPCLR,*>>= %r5,%r24,%r0 ;offset 0x960
+ LDO 1(%r31),%r31 ;offset 0x964
+$00060032
+ CMPB,*<<=,N %r31,%r4,$00060036 ;offset 0x968
+ LDO -1(%r29),%r29 ;offset 0x96c
+ ADD,L %r4,%r3,%r4 ;offset 0x970
+$00060036
+ ADDIB,=,N -1,%r8,$D0 ;offset 0x974
+ SUB %r5,%r24,%r28 ;offset 0x978
+$0006003A
+ SUB %r4,%r31,%r24 ;offset 0x97c
+ SHRPD %r24,%r28,32,%r4 ;offset 0x980
+ DEPD,Z %r29,31,32,%r9 ;offset 0x984
+ DEPD,Z %r28,31,32,%r5 ;offset 0x988
+$0006001C
+ EXTRD,U %r4,31,32,%r31 ;offset 0x98c
+ CMPB,*<>,N %r31,%r2,$00060020 ;offset 0x990
+ MOVB,TR %r6,%r29,$D1 ;offset 0x994
+ STD %r29,-152(%r30) ;offset 0x998
+$0006000C
+ EXTRD,U %r3,31,32,%r25 ;offset 0x99c
+ COPY %r3,%r26 ;offset 0x9a0
+ EXTRD,U %r3,31,32,%r9 ;offset 0x9a4
+ EXTRD,U %r4,31,32,%r8 ;offset 0x9a8
+ .CALL ARGW0=GR,ARGW1=GR,RTNVAL=GR ;in=25,26;out=28;
+ B,L BN_num_bits_word,%r2 ;offset 0x9ac
+ EXTRD,U %r5,31,32,%r7 ;offset 0x9b0
+ LDI 64,%r20 ;offset 0x9b4
+ DEPD %r7,31,32,%r5 ;offset 0x9b8
+ DEPD %r8,31,32,%r4 ;offset 0x9bc
+ DEPD %r9,31,32,%r3 ;offset 0x9c0
+ CMPB,= %r28,%r20,$00060012 ;offset 0x9c4
+ COPY %r28,%r24 ;offset 0x9c8
+ MTSARCM %r24 ;offset 0x9cc
+ DEPDI,Z -1,%sar,1,%r19 ;offset 0x9d0
+ CMPB,*>>,N %r4,%r19,$D2 ;offset 0x9d4
+$00060012
+ SUBI 64,%r24,%r31 ;offset 0x9d8
+ CMPCLR,*<< %r4,%r3,%r0 ;offset 0x9dc
+ SUB %r4,%r3,%r4 ;offset 0x9e0
+$00060016
+ CMPB,= %r31,%r0,$0006001A ;offset 0x9e4
+ COPY %r0,%r9 ;offset 0x9e8
+ MTSARCM %r31 ;offset 0x9ec
+ DEPD,Z %r3,%sar,64,%r3 ;offset 0x9f0
+ SUBI 64,%r31,%r26 ;offset 0x9f4
+ MTSAR %r26 ;offset 0x9f8
+ SHRPD %r4,%r5,%sar,%r4 ;offset 0x9fc
+ MTSARCM %r31 ;offset 0xa00
+ DEPD,Z %r5,%sar,64,%r5 ;offset 0xa04
+$0006001A
+ DEPDI,Z -1,31,32,%r19 ;offset 0xa08
+ AND %r3,%r19,%r29 ;offset 0xa0c
+ EXTRD,U %r29,31,32,%r2 ;offset 0xa10
+ DEPDI,Z -1,63,32,%r6 ;offset 0xa14
+ MOVIB,TR 2,%r8,$0006001C ;offset 0xa18
+ EXTRD,U %r3,63,32,%r7 ;offset 0xa1c
+$D2
+ ;--- not PIC ADDIL LR'__iob-$global$,%r27,%r1 ;offset 0xa20
+ ;--- not PIC LDIL LR'C$7,%r21 ;offset 0xa24
+ ;--- not PIC LDO RR'__iob-$global$+32(%r1),%r26 ;offset 0xa28
+ ;--- not PIC .CALL ARGW0=GR,ARGW1=GR,ARGW2=GR,RTNVAL=GR ;in=24,25,26;out=28;
+ ;--- not PIC B,L fprintf,%r2 ;offset 0xa2c
+ ;--- not PIC LDO RR'C$7(%r21),%r25 ;offset 0xa30
+ .CALL ;
+ B,L abort,%r2 ;offset 0xa34
+ NOP ;offset 0xa38
+ B $D3 ;offset 0xa3c
+ LDW -212(%r30),%r2 ;offset 0xa40
+$00060020
+ COPY %r4,%r26 ;offset 0xa44
+ EXTRD,U %r4,31,32,%r25 ;offset 0xa48
+ COPY %r2,%r24 ;offset 0xa4c
+ .CALL ;in=23,24,25,26;out=20,21,22,28,29; (MILLICALL)
+ B,L $$div2U,%r31 ;offset 0xa50
+ EXTRD,U %r2,31,32,%r23 ;offset 0xa54
+ DEPD %r28,31,32,%r29 ;offset 0xa58
+$00060022
+ STD %r29,-152(%r30) ;offset 0xa5c
+$D1
+ AND %r5,%r19,%r24 ;offset 0xa60
+ EXTRD,U %r24,31,32,%r24 ;offset 0xa64
+ STW %r2,-160(%r30) ;offset 0xa68
+ STW %r7,-128(%r30) ;offset 0xa6c
+ FLDD -152(%r30),%fr4 ;offset 0xa70
+ FLDD -152(%r30),%fr7 ;offset 0xa74
+ FLDW -160(%r30),%fr8L ;offset 0xa78
+ FLDW -128(%r30),%fr5L ;offset 0xa7c
+ XMPYU %fr8L,%fr7L,%fr10 ;offset 0xa80
+ FSTD %fr10,-136(%r30) ;offset 0xa84
+ XMPYU %fr8L,%fr7R,%fr22 ;offset 0xa88
+ FSTD %fr22,-144(%r30) ;offset 0xa8c
+ XMPYU %fr5L,%fr4L,%fr11 ;offset 0xa90
+ XMPYU %fr5L,%fr4R,%fr23 ;offset 0xa94
+ FSTD %fr11,-112(%r30) ;offset 0xa98
+ FSTD %fr23,-120(%r30) ;offset 0xa9c
+ LDD -136(%r30),%r28 ;offset 0xaa0
+ DEPD,Z %r28,31,32,%r31 ;offset 0xaa4
+ LDD -144(%r30),%r20 ;offset 0xaa8
+ ADD,L %r20,%r31,%r31 ;offset 0xaac
+ LDD -112(%r30),%r22 ;offset 0xab0
+ DEPD,Z %r22,31,32,%r22 ;offset 0xab4
+ LDD -120(%r30),%r21 ;offset 0xab8
+ B $00060024 ;offset 0xabc
+ ADD,L %r21,%r22,%r23 ;offset 0xac0
+$D0
+ OR %r9,%r29,%r29 ;offset 0xac4
+$00060040
+ EXTRD,U %r29,31,32,%r28 ;offset 0xac8
+$00060002
+$L2
+ LDW -212(%r30),%r2 ;offset 0xacc
+$D3
+ LDW -168(%r30),%r9 ;offset 0xad0
+ LDD -176(%r30),%r8 ;offset 0xad4
+ EXTRD,U %r8,31,32,%r7 ;offset 0xad8
+ LDD -184(%r30),%r6 ;offset 0xadc
+ EXTRD,U %r6,31,32,%r5 ;offset 0xae0
+ LDW -188(%r30),%r4 ;offset 0xae4
+ BVE (%r2) ;offset 0xae8
+ .EXIT
+ LDW,MB -192(%r30),%r3 ;offset 0xaec
+ .PROCEND ;in=23,25;out=28,29;fpin=105,107;
+
+
+
+
+;----------------------------------------------------------------------------
+;
+; Registers to hold 64-bit values to manipulate. The "L" part
+; of the register corresponds to the upper 32-bits, while the "R"
+; part corresponds to the lower 32-bits
+;
+; Note, that when using b6 and b7, the code must save these before
+; using them because they are callee save registers
+;
+;
+; Floating point registers to use to save values that
+; are manipulated. These don't collide with ftemp1-6 and
+; are all caller save registers
+;
+a0 .reg %fr22
+a0L .reg %fr22L
+a0R .reg %fr22R
+
+a1 .reg %fr23
+a1L .reg %fr23L
+a1R .reg %fr23R
+
+a2 .reg %fr24
+a2L .reg %fr24L
+a2R .reg %fr24R
+
+a3 .reg %fr25
+a3L .reg %fr25L
+a3R .reg %fr25R
+
+a4 .reg %fr26
+a4L .reg %fr26L
+a4R .reg %fr26R
+
+a5 .reg %fr27
+a5L .reg %fr27L
+a5R .reg %fr27R
+
+a6 .reg %fr28
+a6L .reg %fr28L
+a6R .reg %fr28R
+
+a7 .reg %fr29
+a7L .reg %fr29L
+a7R .reg %fr29R
+
+b0 .reg %fr30
+b0L .reg %fr30L
+b0R .reg %fr30R
+
+b1 .reg %fr31
+b1L .reg %fr31L
+b1R .reg %fr31R
+
+;
+; Temporary floating point variables, these are all caller save
+; registers
+;
+ftemp1 .reg %fr4
+ftemp2 .reg %fr5
+ftemp3 .reg %fr6
+ftemp4 .reg %fr7
+
+;
+; The B set of registers when used.
+;
+
+b2 .reg %fr8
+b2L .reg %fr8L
+b2R .reg %fr8R
+
+b3 .reg %fr9
+b3L .reg %fr9L
+b3R .reg %fr9R
+
+b4 .reg %fr10
+b4L .reg %fr10L
+b4R .reg %fr10R
+
+b5 .reg %fr11
+b5L .reg %fr11L
+b5R .reg %fr11R
+
+b6 .reg %fr12
+b6L .reg %fr12L
+b6R .reg %fr12R
+
+b7 .reg %fr13
+b7L .reg %fr13L
+b7R .reg %fr13R
+
+c1 .reg %r21 ; only reg
+temp1 .reg %r20 ; only reg
+temp2 .reg %r19 ; only reg
+temp3 .reg %r31 ; only reg
+
+m1 .reg %r28
+c2 .reg %r23
+high_one .reg %r1
+ht .reg %r6
+lt .reg %r5
+m .reg %r4
+c3 .reg %r3
+
+SQR_ADD_C .macro A0L,A0R,C1,C2,C3
+ XMPYU A0L,A0R,ftemp1 ; m
+ FSTD ftemp1,-24(%sp) ; store m
+
+ XMPYU A0R,A0R,ftemp2 ; lt
+ FSTD ftemp2,-16(%sp) ; store lt
+
+ XMPYU A0L,A0L,ftemp3 ; ht
+ FSTD ftemp3,-8(%sp) ; store ht
+
+ LDD -24(%sp),m ; load m
+ AND m,high_mask,temp2 ; m & Mask
+ DEPD,Z m,30,31,temp3 ; m << 32+1
+ LDD -16(%sp),lt ; lt
+
+ LDD -8(%sp),ht ; ht
+ EXTRD,U temp2,32,33,temp1 ; temp1 = m&Mask >> 32-1
+ ADD temp3,lt,lt ; lt = lt+m
+ ADD,L ht,temp1,ht ; ht += temp1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C2,ht,C2 ; c2=c2+ht
+ ADD,DC C3,%r0,C3 ; c3++
+.endm
+
+SQR_ADD_C2 .macro A0L,A0R,A1L,A1R,C1,C2,C3
+ XMPYU A0L,A1R,ftemp1 ; m1 = bl*ht
+ FSTD ftemp1,-16(%sp) ;
+ XMPYU A0R,A1L,ftemp2 ; m = bh*lt
+ FSTD ftemp2,-8(%sp) ;
+ XMPYU A0R,A1R,ftemp3 ; lt = bl*lt
+ FSTD ftemp3,-32(%sp)
+ XMPYU A0L,A1L,ftemp4 ; ht = bh*ht
+ FSTD ftemp4,-24(%sp) ;
+
+ LDD -8(%sp),m ; r21 = m
+ LDD -16(%sp),m1 ; r19 = m1
+ ADD,L m,m1,m ; m+m1
+
+ DEPD,Z m,31,32,temp3 ; (m+m1<<32)
+ LDD -24(%sp),ht ; r24 = ht
+
+ CMPCLR,*>>= m,m1,%r0 ; if (m < m1)
+ ADD,L ht,high_one,ht ; ht+=high_one
+
+ EXTRD,U m,31,32,temp1 ; m >> 32
+ LDD -32(%sp),lt ; lt
+ ADD,L ht,temp1,ht ; ht+= m>>32
+ ADD lt,temp3,lt ; lt = lt+m1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD ht,ht,ht ; ht=ht+ht;
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+
+ ADD lt,lt,lt ; lt=lt+lt;
+ ADD,DC ht,%r0,ht ; add in carry (ht++)
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC,*NUV ht,%r0,ht ; add in carry (ht++)
+ LDO 1(C3),C3 ; bump c3 if overflow,nullify otherwise
+
+ ADD C2,ht,C2 ; c2 = c2 + ht
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+.endm
+
+;
+;void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
+; arg0 = r_ptr
+; arg1 = a_ptr
+;
+
+bn_sqr_comba8
+ .PROC
+ .CALLINFO FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_comba8,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .ENTRY
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ SQR_ADD_C a0L,a0R,c1,c2,c3
+ STD c1,0(r_ptr) ; r[0] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a1L,a1R,a0L,a0R,c2,c3,c1
+ STD c2,8(r_ptr) ; r[1] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a2L,a2R,a0L,a0R,c3,c1,c2
+ STD c3,16(r_ptr) ; r[2] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a3L,a3R,a0L,a0R,c1,c2,c3
+ SQR_ADD_C2 a2L,a2R,a1L,a1R,c1,c2,c3
+ STD c1,24(r_ptr) ; r[3] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a3L,a3R,a1L,a1R,c2,c3,c1
+ SQR_ADD_C2 a4L,a4R,a0L,a0R,c2,c3,c1
+ STD c2,32(r_ptr) ; r[4] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a5L,a5R,a0L,a0R,c3,c1,c2
+ SQR_ADD_C2 a4L,a4R,a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a3L,a3R,a2L,a2R,c3,c1,c2
+ STD c3,40(r_ptr) ; r[5] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a3L,a3R,c1,c2,c3
+ SQR_ADD_C2 a4L,a4R,a2L,a2R,c1,c2,c3
+ SQR_ADD_C2 a5L,a5R,a1L,a1R,c1,c2,c3
+ SQR_ADD_C2 a6L,a6R,a0L,a0R,c1,c2,c3
+ STD c1,48(r_ptr) ; r[6] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a7L,a7R,a0L,a0R,c2,c3,c1
+ SQR_ADD_C2 a6L,a6R,a1L,a1R,c2,c3,c1
+ SQR_ADD_C2 a5L,a5R,a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a4L,a4R,a3L,a3R,c2,c3,c1
+ STD c2,56(r_ptr) ; r[7] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a4L,a4R,c3,c1,c2
+ SQR_ADD_C2 a5L,a5R,a3L,a3R,c3,c1,c2
+ SQR_ADD_C2 a6L,a6R,a2L,a2R,c3,c1,c2
+ SQR_ADD_C2 a7L,a7R,a1L,a1R,c3,c1,c2
+ STD c3,64(r_ptr) ; r[8] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a7L,a7R,a2L,a2R,c1,c2,c3
+ SQR_ADD_C2 a6L,a6R,a3L,a3R,c1,c2,c3
+ SQR_ADD_C2 a5L,a5R,a4L,a4R,c1,c2,c3
+ STD c1,72(r_ptr) ; r[9] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a5L,a5R,c2,c3,c1
+ SQR_ADD_C2 a6L,a6R,a4L,a4R,c2,c3,c1
+ SQR_ADD_C2 a7L,a7R,a3L,a3R,c2,c3,c1
+ STD c2,80(r_ptr) ; r[10] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a7L,a7R,a4L,a4R,c3,c1,c2
+ SQR_ADD_C2 a6L,a6R,a5L,a5R,c3,c1,c2
+ STD c3,88(r_ptr) ; r[11] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a6L,a6R,c1,c2,c3
+ SQR_ADD_C2 a7L,a7R,a5L,a5R,c1,c2,c3
+ STD c1,96(r_ptr) ; r[12] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a7L,a7R,a6L,a6R,c2,c3,c1
+ STD c2,104(r_ptr) ; r[13] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a7L,a7R,c3,c1,c2
+ STD c3, 112(r_ptr) ; r[14] = c3
+ STD c1, 120(r_ptr) ; r[15] = c1
+
+ .EXIT
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+;-----------------------------------------------------------------------------
+;
+;void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
+; arg0 = r_ptr
+; arg1 = a_ptr
+;
+
+bn_sqr_comba4
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_comba4,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ SQR_ADD_C a0L,a0R,c1,c2,c3
+
+ STD c1,0(r_ptr) ; r[0] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a1L,a1R,a0L,a0R,c2,c3,c1
+
+ STD c2,8(r_ptr) ; r[1] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a2L,a2R,a0L,a0R,c3,c1,c2
+
+ STD c3,16(r_ptr) ; r[2] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a3L,a3R,a0L,a0R,c1,c2,c3
+ SQR_ADD_C2 a2L,a2R,a1L,a1R,c1,c2,c3
+
+ STD c1,24(r_ptr) ; r[3] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a3L,a3R,a1L,a1R,c2,c3,c1
+
+ STD c2,32(r_ptr) ; r[4] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a3L,a3R,a2L,a2R,c3,c1,c2
+ STD c3,40(r_ptr) ; r[5] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a3L,a3R,c1,c2,c3
+ STD c1,48(r_ptr) ; r[6] = c1;
+ STD c2,56(r_ptr) ; r[7] = c2;
+
+ .EXIT
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+
+;---------------------------------------------------------------------------
+
+MUL_ADD_C .macro A0L,A0R,B0L,B0R,C1,C2,C3
+ XMPYU A0L,B0R,ftemp1 ; m1 = bl*ht
+ FSTD ftemp1,-16(%sp) ;
+ XMPYU A0R,B0L,ftemp2 ; m = bh*lt
+ FSTD ftemp2,-8(%sp) ;
+ XMPYU A0R,B0R,ftemp3 ; lt = bl*lt
+ FSTD ftemp3,-32(%sp)
+ XMPYU A0L,B0L,ftemp4 ; ht = bh*ht
+ FSTD ftemp4,-24(%sp) ;
+
+ LDD -8(%sp),m ; r21 = m
+ LDD -16(%sp),m1 ; r19 = m1
+ ADD,L m,m1,m ; m+m1
+
+ DEPD,Z m,31,32,temp3 ; (m+m1<<32)
+ LDD -24(%sp),ht ; r24 = ht
+
+ CMPCLR,*>>= m,m1,%r0 ; if (m < m1)
+ ADD,L ht,high_one,ht ; ht+=high_one
+
+ EXTRD,U m,31,32,temp1 ; m >> 32
+ LDD -32(%sp),lt ; lt
+ ADD,L ht,temp1,ht ; ht+= m>>32
+ ADD lt,temp3,lt ; lt = lt+m1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC ht,%r0,ht ; bump c3 if overflow,nullify otherwise
+
+ ADD C2,ht,C2 ; c2 = c2 + ht
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+.endm
+
+
+;
+;void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg2 = b_ptr
+;
+
+bn_mul_comba8
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_mul_comba8,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+ FSTD %fr12,32(%sp) ; save r6
+ FSTD %fr13,40(%sp) ; save r7
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ FLDD 0(b_ptr),b0
+ FLDD 8(b_ptr),b1
+ FLDD 16(b_ptr),b2
+ FLDD 24(b_ptr),b3
+ FLDD 32(b_ptr),b4
+ FLDD 40(b_ptr),b5
+ FLDD 48(b_ptr),b6
+ FLDD 56(b_ptr),b7
+
+ MUL_ADD_C a0L,a0R,b0L,b0R,c1,c2,c3
+ STD c1,0(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b0L,b0R,c2,c3,c1
+ STD c2,8(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b0L,b0R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a0L,a0R,b2L,b2R,c3,c1,c2
+ STD c3,16(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a0L,a0R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b0L,b0R,c1,c2,c3
+ STD c1,24(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a4L,a4R,b0L,b0R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a0L,a0R,b4L,b4R,c2,c3,c1
+ STD c2,32(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a0L,a0R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b4L,b4R,c3,c1,c2
+ MUL_ADD_C a2L,a2R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b2L,b2R,c3,c1,c2
+ MUL_ADD_C a4L,a4R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b0L,b0R,c3,c1,c2
+ STD c3,40(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a6L,a6R,b0L,b0R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a4L,a4R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b4L,b4R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a0L,a0R,b6L,b6R,c1,c2,c3
+ STD c1,48(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b7L,b7R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b6L,b6R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b5L,b5R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b4L,b4R,c2,c3,c1
+ MUL_ADD_C a4L,a4R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a5L,a5R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a6L,a6R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a7L,a7R,b0L,b0R,c2,c3,c1
+ STD c2,56(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a7L,a7R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a6L,a6R,b2L,b2R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a4L,a4R,b4L,b4R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a2L,a2R,b6L,b6R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b7L,b7R,c3,c1,c2
+ STD c3,64(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a2L,a2R,b7L,b7R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b6L,b6R,c1,c2,c3
+ MUL_ADD_C a4L,a4R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b4L,b4R,c1,c2,c3
+ MUL_ADD_C a6L,a6R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a7L,a7R,b2L,b2R,c1,c2,c3
+ STD c1,72(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a7L,a7R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a6L,a6R,b4L,b4R,c2,c3,c1
+ MUL_ADD_C a5L,a5R,b5L,b5R,c2,c3,c1
+ MUL_ADD_C a4L,a4R,b6L,b6R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b7L,b7R,c2,c3,c1
+ STD c2,80(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a4L,a4R,b7L,b7R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b6L,b6R,c3,c1,c2
+ MUL_ADD_C a6L,a6R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a7L,a7R,b4L,b4R,c3,c1,c2
+ STD c3,88(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a7L,a7R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a6L,a6R,b6L,b6R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b7L,b7R,c1,c2,c3
+ STD c1,96(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a6L,a6R,b7L,b7R,c2,c3,c1
+ MUL_ADD_C a7L,a7R,b6L,b6R,c2,c3,c1
+ STD c2,104(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a7L,a7R,b7L,b7R,c3,c1,c2
+ STD c3,112(r_ptr)
+ STD c1,120(r_ptr)
+
+ .EXIT
+ FLDD -88(%sp),%fr13
+ FLDD -96(%sp),%fr12
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+;-----------------------------------------------------------------------------
+;
+;void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg2 = b_ptr
+;
+
+bn_mul_comba4
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_mul_comba4,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+ FSTD %fr12,32(%sp) ; save r6
+ FSTD %fr13,40(%sp) ; save r7
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+
+ FLDD 0(b_ptr),b0
+ FLDD 8(b_ptr),b1
+ FLDD 16(b_ptr),b2
+ FLDD 24(b_ptr),b3
+
+ MUL_ADD_C a0L,a0R,b0L,b0R,c1,c2,c3
+ STD c1,0(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b0L,b0R,c2,c3,c1
+ STD c2,8(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b0L,b0R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a0L,a0R,b2L,b2R,c3,c1,c2
+ STD c3,16(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a0L,a0R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b0L,b0R,c1,c2,c3
+ STD c1,24(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a3L,a3R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b3L,b3R,c2,c3,c1
+ STD c2,32(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b2L,b2R,c3,c1,c2
+ STD c3,40(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a3L,a3R,b3L,b3R,c1,c2,c3
+ STD c1,48(r_ptr)
+ STD c2,56(r_ptr)
+
+ .EXIT
+ FLDD -88(%sp),%fr13
+ FLDD -96(%sp),%fr12
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+
+;--- not PIC .SPACE $TEXT$
+;--- not PIC .SUBSPA $CODE$
+;--- not PIC .SPACE $PRIVATE$,SORT=16
+;--- not PIC .IMPORT $global$,DATA
+;--- not PIC .SPACE $TEXT$
+;--- not PIC .SUBSPA $CODE$
+;--- not PIC .SUBSPA $LIT$,ACCESS=0x2c
+;--- not PIC C$7
+;--- not PIC .ALIGN 8
+;--- not PIC .STRINGZ "Division would overflow (%d)\n"
+ .END
diff --git a/openssl/crypto/bn/asm/pa-risc2W.s b/openssl/crypto/bn/asm/pa-risc2W.s
new file mode 100644
index 00000000..a9954575
--- /dev/null
+++ b/openssl/crypto/bn/asm/pa-risc2W.s
@@ -0,0 +1,1605 @@
+;
+; PA-RISC 64-bit implementation of bn_asm code
+;
+; This code is approximately 2x faster than the C version
+; for RSA/DSA.
+;
+; See http://devresource.hp.com/ for more details on the PA-RISC
+; architecture. Also see the book "PA-RISC 2.0 Architecture"
+; by Gerry Kane for information on the instruction set architecture.
+;
+; Code written by Chris Ruemmler (with some help from the HP C
+; compiler).
+;
+; The code compiles with HP's assembler
+;
+
+ .level 2.0W
+ .space $TEXT$
+ .subspa $CODE$,QUAD=0,ALIGN=8,ACCESS=0x2c,CODE_ONLY
+
+;
+; Global Register definitions used for the routines.
+;
+; Some information about HP's runtime architecture for 64-bits.
+;
+; "Caller save" means the calling function must save the register
+; if it wants the register to be preserved.
+; "Callee save" means if a function uses the register, it must save
+; the value before using it.
+;
+; For the floating point registers
+;
+; "caller save" registers: fr4-fr11, fr22-fr31
+; "callee save" registers: fr12-fr21
+; "special" registers: fr0-fr3 (status and exception registers)
+;
+; For the integer registers
+; value zero : r0
+; "caller save" registers: r1,r19-r26
+; "callee save" registers: r3-r18
+; return register : r2 (rp)
+; return values ; r28 (ret0,ret1)
+; Stack pointer ; r30 (sp)
+; global data pointer ; r27 (dp)
+; argument pointer ; r29 (ap)
+; millicode return ptr ; r31 (also a caller save register)
+
+
+;
+; Arguments to the routines
+;
+r_ptr .reg %r26
+a_ptr .reg %r25
+b_ptr .reg %r24
+num .reg %r24
+w .reg %r23
+n .reg %r23
+
+
+;
+; Globals used in some routines
+;
+
+top_overflow .reg %r29
+high_mask .reg %r22 ; value 0xffffffff80000000L
+
+
+;------------------------------------------------------------------------------
+;
+; bn_mul_add_words
+;
+;BN_ULONG bn_mul_add_words(BN_ULONG *r_ptr, BN_ULONG *a_ptr,
+; int num, BN_ULONG w)
+;
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg2 = num
+; arg3 = w
+;
+; Local register definitions
+;
+
+fm1 .reg %fr22
+fm .reg %fr23
+ht_temp .reg %fr24
+ht_temp_1 .reg %fr25
+lt_temp .reg %fr26
+lt_temp_1 .reg %fr27
+fm1_1 .reg %fr28
+fm_1 .reg %fr29
+
+fw_h .reg %fr7L
+fw_l .reg %fr7R
+fw .reg %fr7
+
+fht_0 .reg %fr8L
+flt_0 .reg %fr8R
+t_float_0 .reg %fr8
+
+fht_1 .reg %fr9L
+flt_1 .reg %fr9R
+t_float_1 .reg %fr9
+
+tmp_0 .reg %r31
+tmp_1 .reg %r21
+m_0 .reg %r20
+m_1 .reg %r19
+ht_0 .reg %r1
+ht_1 .reg %r3
+lt_0 .reg %r4
+lt_1 .reg %r5
+m1_0 .reg %r6
+m1_1 .reg %r7
+rp_val .reg %r8
+rp_val_1 .reg %r9
+
+bn_mul_add_words
+ .export bn_mul_add_words,entry,NO_RELOCATION,LONG_RETURN
+ .proc
+ .callinfo frame=128
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ NOP ; Needed to make the loop 16-byte aligned
+ NOP ; Needed to make the loop 16-byte aligned
+
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+ STD %r7,32(%sp) ; save r7
+ STD %r8,40(%sp) ; save r8
+
+ STD %r9,48(%sp) ; save r9
+ COPY %r0,%ret0 ; return 0 by default
+ DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
+ STD w,56(%sp) ; store w on stack
+
+ CMPIB,>= 0,num,bn_mul_add_words_exit ; if (num <= 0) then exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; The loop is unrolled twice, so if there is only 1 number
+ ; then go straight to the cleanup code.
+ ;
+ CMPIB,= 1,num,bn_mul_add_words_single_top
+ FLDD -72(%sp),fw ; load up w into fp register fw (fw_h/fw_l)
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+ ; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
+ ; two 32-bit mutiplies can be issued per cycle.
+ ;
+bn_mul_add_words_unroll2
+
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ LDD 0(r_ptr),rp_val ; rp[0]
+ LDD 8(r_ptr),rp_val_1 ; rp[1]
+
+ XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
+ XMPYU fht_1,fw_l,fm1_1 ; m1[1] = fht_1*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1[0]
+ FSTD fm1_1,-48(%sp) ; -48(sp) = m1[1]
+
+ XMPYU flt_0,fw_h,fm ; m[0] = flt_0*fw_h
+ XMPYU flt_1,fw_h,fm_1 ; m[1] = flt_1*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m[0]
+ FSTD fm_1,-40(%sp) ; -40(sp) = m[1]
+
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
+ XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp_1 = fht_1*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht_temp
+ FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht_temp_1
+
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt_temp
+ FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt_temp_1
+
+ LDD -8(%sp),m_0 ; m[0]
+ LDD -40(%sp),m_1 ; m[1]
+ LDD -16(%sp),m1_0 ; m1[0]
+ LDD -48(%sp),m1_1 ; m1[1]
+
+ LDD -24(%sp),ht_0 ; ht[0]
+ LDD -56(%sp),ht_1 ; ht[1]
+ ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m[0] + m1[0];
+ ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m[1] + m1[1];
+
+ LDD -32(%sp),lt_0
+ LDD -64(%sp),lt_1
+ CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m[0] < m1[0])
+ ADD,L ht_0,top_overflow,ht_0 ; ht[0] += (1<<32)
+
+ CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m[1] < m1[1])
+ ADD,L ht_1,top_overflow,ht_1 ; ht[1] += (1<<32)
+ EXTRD,U tmp_0,31,32,m_0 ; m[0]>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1[0] = m[0]<<32
+
+ EXTRD,U tmp_1,31,32,m_1 ; m[1]>>32
+ DEPD,Z tmp_1,31,32,m1_1 ; m1[1] = m[1]<<32
+ ADD,L ht_0,m_0,ht_0 ; ht[0]+= (m[0]>>32)
+ ADD,L ht_1,m_1,ht_1 ; ht[1]+= (m[1]>>32)
+
+ ADD lt_0,m1_0,lt_0 ; lt[0] = lt[0]+m1[0];
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ ADD lt_1,m1_1,lt_1 ; lt[1] = lt[1]+m1[1];
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+
+ ADD %ret0,lt_0,lt_0 ; lt[0] = lt[0] + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ ADD lt_0,rp_val,lt_0 ; lt[0] = lt[0]+rp[0]
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+
+ LDO -2(num),num ; num = num - 2;
+ ADD ht_0,lt_1,lt_1 ; lt[1] = lt[1] + ht_0 (c);
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+ STD lt_0,0(r_ptr) ; rp[0] = lt[0]
+
+ ADD lt_1,rp_val_1,lt_1 ; lt[1] = lt[1]+rp[1]
+ ADD,DC ht_1,%r0,%ret0 ; ht[1]++
+ LDO 16(a_ptr),a_ptr ; a_ptr += 2
+
+ STD lt_1,8(r_ptr) ; rp[1] = lt[1]
+ CMPIB,<= 2,num,bn_mul_add_words_unroll2 ; go again if more to do
+ LDO 16(r_ptr),r_ptr ; r_ptr += 2
+
+ CMPIB,=,N 0,num,bn_mul_add_words_exit ; are we done, or cleanup last one
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_mul_add_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ LDD 0(r_ptr),rp_val ; rp[0]
+ LDO 8(a_ptr),a_ptr ; a_ptr++
+ XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+
+ LDD -8(%sp),m_0
+ LDD -16(%sp),m1_0 ; m1 = temp1
+ ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
+ LDD -24(%sp),ht_0
+ LDD -32(%sp),lt_0
+
+ CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD lt_0,m1_0,tmp_0 ; tmp_0 = lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+ ADD %ret0,tmp_0,lt_0 ; lt = lt + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+ ADD lt_0,rp_val,lt_0 ; lt = lt+rp[0]
+ ADD,DC ht_0,%r0,%ret0 ; ht++
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+
+bn_mul_add_words_exit
+ .EXIT
+ LDD -80(%sp),%r9 ; restore r9
+ LDD -88(%sp),%r8 ; restore r8
+ LDD -96(%sp),%r7 ; restore r7
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3 ; restore r3
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = num
+; arg3 = w
+
+bn_mul_words
+ .proc
+ .callinfo frame=128
+ .entry
+ .EXPORT bn_mul_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+
+ STD %r7,32(%sp) ; save r7
+ COPY %r0,%ret0 ; return 0 by default
+ DEPDI,Z 1,31,1,top_overflow ; top_overflow = 1 << 32
+ STD w,56(%sp) ; w on stack
+
+ CMPIB,>= 0,num,bn_mul_words_exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; See if only 1 word to do, thus just do cleanup
+ ;
+ CMPIB,= 1,num,bn_mul_words_single_top
+ FLDD -72(%sp),fw ; load up w into fp register fw (fw_h/fw_l)
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+ ; PA-RISC 2.0 chips have two fully pipelined multipliers, thus
+ ; two 32-bit mutiplies can be issued per cycle.
+ ;
+bn_mul_words_unroll2
+
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ FLDD 8(a_ptr),t_float_1 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+ XMPYU fht_0,fw_l,fm1 ; m1[0] = fht_0*fw_l
+ XMPYU fht_1,fw_l,fm1_1 ; m1[1] = ht*fw_l
+
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ FSTD fm1_1,-48(%sp) ; -48(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ XMPYU flt_1,fw_h,fm_1 ; m = lt*fw_h
+
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ FSTD fm_1,-40(%sp) ; -40(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = fht_0*fw_h
+ XMPYU fht_1,fw_h,ht_temp_1 ; ht_temp = ht*fw_h
+
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ FSTD ht_temp_1,-56(%sp) ; -56(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ XMPYU flt_1,fw_l,lt_temp_1 ; lt_temp = lt*fw_l
+
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+ FSTD lt_temp_1,-64(%sp) ; -64(sp) = lt
+ LDD -8(%sp),m_0
+ LDD -40(%sp),m_1
+
+ LDD -16(%sp),m1_0
+ LDD -48(%sp),m1_1
+ LDD -24(%sp),ht_0
+ LDD -56(%sp),ht_1
+
+ ADD,L m1_0,m_0,tmp_0 ; tmp_0 = m + m1;
+ ADD,L m1_1,m_1,tmp_1 ; tmp_1 = m + m1;
+ LDD -32(%sp),lt_0
+ LDD -64(%sp),lt_1
+
+ CMPCLR,*>>= tmp_0,m1_0, %r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+ CMPCLR,*>>= tmp_1,m1_1,%r0 ; if (m < m1)
+ ADD,L ht_1,top_overflow,ht_1 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+ EXTRD,U tmp_1,31,32,m_1 ; m>>32
+ DEPD,Z tmp_1,31,32,m1_1 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD,L ht_1,m_1,ht_1 ; ht+= (m>>32)
+ ADD lt_0,m1_0,lt_0 ; lt = lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD lt_1,m1_1,lt_1 ; lt = lt+m1;
+ ADD,DC ht_1,%r0,ht_1 ; ht++
+ ADD %ret0,lt_0,lt_0 ; lt = lt + c (ret0);
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD ht_0,lt_1,lt_1 ; lt = lt + c (ht_0)
+ ADD,DC ht_1,%r0,ht_1 ; ht++
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+ STD lt_1,8(r_ptr) ; rp[1] = lt
+
+ COPY ht_1,%ret0 ; carry = ht
+ LDO -2(num),num ; num = num - 2;
+ LDO 16(a_ptr),a_ptr ; ap += 2
+ CMPIB,<= 2,num,bn_mul_words_unroll2
+ LDO 16(r_ptr),r_ptr ; rp++
+
+ CMPIB,=,N 0,num,bn_mul_words_exit ; are we done?
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_mul_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+
+ XMPYU fht_0,fw_l,fm1 ; m1 = ht*fw_l
+ FSTD fm1,-16(%sp) ; -16(sp) = m1
+ XMPYU flt_0,fw_h,fm ; m = lt*fw_h
+ FSTD fm,-8(%sp) ; -8(sp) = m
+ XMPYU fht_0,fw_h,ht_temp ; ht_temp = ht*fw_h
+ FSTD ht_temp,-24(%sp) ; -24(sp) = ht
+ XMPYU flt_0,fw_l,lt_temp ; lt_temp = lt*fw_l
+ FSTD lt_temp,-32(%sp) ; -32(sp) = lt
+
+ LDD -8(%sp),m_0
+ LDD -16(%sp),m1_0
+ ADD,L m_0,m1_0,tmp_0 ; tmp_0 = m + m1;
+ LDD -24(%sp),ht_0
+ LDD -32(%sp),lt_0
+
+ CMPCLR,*>>= tmp_0,m1_0,%r0 ; if (m < m1)
+ ADD,L ht_0,top_overflow,ht_0 ; ht += (1<<32)
+
+ EXTRD,U tmp_0,31,32,m_0 ; m>>32
+ DEPD,Z tmp_0,31,32,m1_0 ; m1 = m<<32
+
+ ADD,L ht_0,m_0,ht_0 ; ht+= (m>>32)
+ ADD lt_0,m1_0,lt_0 ; lt= lt+m1;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ ADD %ret0,lt_0,lt_0 ; lt = lt + c;
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ COPY ht_0,%ret0 ; copy carry
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+
+bn_mul_words_exit
+ .EXIT
+ LDD -96(%sp),%r7 ; restore r7
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3 ; restore r3
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+;void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = num
+;
+
+bn_sqr_words
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ NOP
+ STD %r5,16(%sp) ; save r5
+
+ CMPIB,>= 0,num,bn_sqr_words_exit
+ LDO 128(%sp),%sp ; bump stack
+
+ ;
+ ; If only 1, the goto straight to cleanup
+ ;
+ CMPIB,= 1,num,bn_sqr_words_single_top
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+
+bn_sqr_words_unroll2
+ FLDD 0(a_ptr),t_float_0 ; a[0]
+ FLDD 8(a_ptr),t_float_1 ; a[1]
+ XMPYU fht_0,flt_0,fm ; m[0]
+ XMPYU fht_1,flt_1,fm_1 ; m[1]
+
+ FSTD fm,-24(%sp) ; store m[0]
+ FSTD fm_1,-56(%sp) ; store m[1]
+ XMPYU flt_0,flt_0,lt_temp ; lt[0]
+ XMPYU flt_1,flt_1,lt_temp_1 ; lt[1]
+
+ FSTD lt_temp,-16(%sp) ; store lt[0]
+ FSTD lt_temp_1,-48(%sp) ; store lt[1]
+ XMPYU fht_0,fht_0,ht_temp ; ht[0]
+ XMPYU fht_1,fht_1,ht_temp_1 ; ht[1]
+
+ FSTD ht_temp,-8(%sp) ; store ht[0]
+ FSTD ht_temp_1,-40(%sp) ; store ht[1]
+ LDD -24(%sp),m_0
+ LDD -56(%sp),m_1
+
+ AND m_0,high_mask,tmp_0 ; m[0] & Mask
+ AND m_1,high_mask,tmp_1 ; m[1] & Mask
+ DEPD,Z m_0,30,31,m_0 ; m[0] << 32+1
+ DEPD,Z m_1,30,31,m_1 ; m[1] << 32+1
+
+ LDD -16(%sp),lt_0
+ LDD -48(%sp),lt_1
+ EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m[0]&Mask >> 32-1
+ EXTRD,U tmp_1,32,33,tmp_1 ; tmp_1 = m[1]&Mask >> 32-1
+
+ LDD -8(%sp),ht_0
+ LDD -40(%sp),ht_1
+ ADD,L ht_0,tmp_0,ht_0 ; ht[0] += tmp_0
+ ADD,L ht_1,tmp_1,ht_1 ; ht[1] += tmp_1
+
+ ADD lt_0,m_0,lt_0 ; lt = lt+m
+ ADD,DC ht_0,%r0,ht_0 ; ht[0]++
+ STD lt_0,0(r_ptr) ; rp[0] = lt[0]
+ STD ht_0,8(r_ptr) ; rp[1] = ht[1]
+
+ ADD lt_1,m_1,lt_1 ; lt = lt+m
+ ADD,DC ht_1,%r0,ht_1 ; ht[1]++
+ STD lt_1,16(r_ptr) ; rp[2] = lt[1]
+ STD ht_1,24(r_ptr) ; rp[3] = ht[1]
+
+ LDO -2(num),num ; num = num - 2;
+ LDO 16(a_ptr),a_ptr ; ap += 2
+ CMPIB,<= 2,num,bn_sqr_words_unroll2
+ LDO 32(r_ptr),r_ptr ; rp += 4
+
+ CMPIB,=,N 0,num,bn_sqr_words_exit ; are we done?
+
+ ;
+ ; Top of loop aligned on 64-byte boundary
+ ;
+bn_sqr_words_single_top
+ FLDD 0(a_ptr),t_float_0 ; load up 64-bit value (fr8L) ht(L)/lt(R)
+
+ XMPYU fht_0,flt_0,fm ; m
+ FSTD fm,-24(%sp) ; store m
+
+ XMPYU flt_0,flt_0,lt_temp ; lt
+ FSTD lt_temp,-16(%sp) ; store lt
+
+ XMPYU fht_0,fht_0,ht_temp ; ht
+ FSTD ht_temp,-8(%sp) ; store ht
+
+ LDD -24(%sp),m_0 ; load m
+ AND m_0,high_mask,tmp_0 ; m & Mask
+ DEPD,Z m_0,30,31,m_0 ; m << 32+1
+ LDD -16(%sp),lt_0 ; lt
+
+ LDD -8(%sp),ht_0 ; ht
+ EXTRD,U tmp_0,32,33,tmp_0 ; tmp_0 = m&Mask >> 32-1
+ ADD m_0,lt_0,lt_0 ; lt = lt+m
+ ADD,L ht_0,tmp_0,ht_0 ; ht += tmp_0
+ ADD,DC ht_0,%r0,ht_0 ; ht++
+
+ STD lt_0,0(r_ptr) ; rp[0] = lt
+ STD ht_0,8(r_ptr) ; rp[1] = ht
+
+bn_sqr_words_exit
+ .EXIT
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = bp
+; arg3 = n
+
+t .reg %r22
+b .reg %r21
+l .reg %r20
+
+bn_add_words
+ .proc
+ .entry
+ .callinfo
+ .EXPORT bn_add_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .align 64
+
+ CMPIB,>= 0,n,bn_add_words_exit
+ COPY %r0,%ret0 ; return 0 by default
+
+ ;
+ ; If 2 or more numbers do the loop
+ ;
+ CMPIB,= 1,n,bn_add_words_single_top
+ NOP
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+bn_add_words_unroll2
+ LDD 0(a_ptr),t
+ LDD 0(b_ptr),b
+ ADD t,%ret0,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret0 ; set c to carry
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret0,%r0,%ret0 ; c+= carry
+ STD l,0(r_ptr)
+
+ LDD 8(a_ptr),t
+ LDD 8(b_ptr),b
+ ADD t,%ret0,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret0 ; set c to carry
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret0,%r0,%ret0 ; c+= carry
+ STD l,8(r_ptr)
+
+ LDO -2(n),n
+ LDO 16(a_ptr),a_ptr
+ LDO 16(b_ptr),b_ptr
+
+ CMPIB,<= 2,n,bn_add_words_unroll2
+ LDO 16(r_ptr),r_ptr
+
+ CMPIB,=,N 0,n,bn_add_words_exit ; are we done?
+
+bn_add_words_single_top
+ LDD 0(a_ptr),t
+ LDD 0(b_ptr),b
+
+ ADD t,%ret0,t ; t = t+c;
+ ADD,DC %r0,%r0,%ret0 ; set c to carry (could use CMPCLR??)
+ ADD t,b,l ; l = t + b[0]
+ ADD,DC %ret0,%r0,%ret0 ; c+= carry
+ STD l,0(r_ptr)
+
+bn_add_words_exit
+ .EXIT
+ BVE (%rp)
+ NOP
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+;BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+;
+; arg0 = rp
+; arg1 = ap
+; arg2 = bp
+; arg3 = n
+
+t1 .reg %r22
+t2 .reg %r21
+sub_tmp1 .reg %r20
+sub_tmp2 .reg %r19
+
+
+bn_sub_words
+ .proc
+ .callinfo
+ .EXPORT bn_sub_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ CMPIB,>= 0,n,bn_sub_words_exit
+ COPY %r0,%ret0 ; return 0 by default
+
+ ;
+ ; If 2 or more numbers do the loop
+ ;
+ CMPIB,= 1,n,bn_sub_words_single_top
+ NOP
+
+ ;
+ ; This loop is unrolled 2 times (64-byte aligned as well)
+ ;
+bn_sub_words_unroll2
+ LDD 0(a_ptr),t1
+ LDD 0(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
+
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret0
+ STD sub_tmp1,0(r_ptr)
+
+ LDD 8(a_ptr),t1
+ LDD 8(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret0
+ STD sub_tmp1,8(r_ptr)
+
+ LDO -2(n),n
+ LDO 16(a_ptr),a_ptr
+ LDO 16(b_ptr),b_ptr
+
+ CMPIB,<= 2,n,bn_sub_words_unroll2
+ LDO 16(r_ptr),r_ptr
+
+ CMPIB,=,N 0,n,bn_sub_words_exit ; are we done?
+
+bn_sub_words_single_top
+ LDD 0(a_ptr),t1
+ LDD 0(b_ptr),t2
+ SUB t1,t2,sub_tmp1 ; t3 = t1-t2;
+ SUB sub_tmp1,%ret0,sub_tmp1 ; t3 = t3- c;
+ CMPCLR,*>> t1,t2,sub_tmp2 ; clear if t1 > t2
+ LDO 1(%r0),sub_tmp2
+
+ CMPCLR,*= t1,t2,%r0
+ COPY sub_tmp2,%ret0
+
+ STD sub_tmp1,0(r_ptr)
+
+bn_sub_words_exit
+ .EXIT
+ BVE (%rp)
+ NOP
+ .PROCEND ;in=23,24,25,26,29;out=28;
+
+;------------------------------------------------------------------------------
+;
+; unsigned long bn_div_words(unsigned long h, unsigned long l, unsigned long d)
+;
+; arg0 = h
+; arg1 = l
+; arg2 = d
+;
+; This is mainly just modified assembly from the compiler, thus the
+; lack of variable names.
+;
+;------------------------------------------------------------------------------
+bn_div_words
+ .proc
+ .callinfo CALLER,FRAME=272,ENTRY_GR=%r10,SAVE_RP,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_div_words,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .IMPORT BN_num_bits_word,CODE,NO_RELOCATION
+ .IMPORT __iob,DATA
+ .IMPORT fprintf,CODE,NO_RELOCATION
+ .IMPORT abort,CODE,NO_RELOCATION
+ .IMPORT $$div2U,MILLICODE
+ .entry
+ STD %r2,-16(%r30)
+ STD,MA %r3,352(%r30)
+ STD %r4,-344(%r30)
+ STD %r5,-336(%r30)
+ STD %r6,-328(%r30)
+ STD %r7,-320(%r30)
+ STD %r8,-312(%r30)
+ STD %r9,-304(%r30)
+ STD %r10,-296(%r30)
+
+ STD %r27,-288(%r30) ; save gp
+
+ COPY %r24,%r3 ; save d
+ COPY %r26,%r4 ; save h (high 64-bits)
+ LDO -1(%r0),%ret0 ; return -1 by default
+
+ CMPB,*= %r0,%arg2,$D3 ; if (d == 0)
+ COPY %r25,%r5 ; save l (low 64-bits)
+
+ LDO -48(%r30),%r29 ; create ap
+ .CALL ;in=26,29;out=28;
+ B,L BN_num_bits_word,%r2
+ COPY %r3,%r26
+ LDD -288(%r30),%r27 ; restore gp
+ LDI 64,%r21
+
+ CMPB,= %r21,%ret0,$00000012 ;if (i == 64) (forward)
+ COPY %ret0,%r24 ; i
+ MTSARCM %r24
+ DEPDI,Z -1,%sar,1,%r29
+ CMPB,*<<,N %r29,%r4,bn_div_err_case ; if (h > 1<<i) (forward)
+
+$00000012
+ SUBI 64,%r24,%r31 ; i = 64 - i;
+ CMPCLR,*<< %r4,%r3,%r0 ; if (h >= d)
+ SUB %r4,%r3,%r4 ; h -= d
+ CMPB,= %r31,%r0,$0000001A ; if (i)
+ COPY %r0,%r10 ; ret = 0
+ MTSARCM %r31 ; i to shift
+ DEPD,Z %r3,%sar,64,%r3 ; d <<= i;
+ SUBI 64,%r31,%r19 ; 64 - i; redundent
+ MTSAR %r19 ; (64 -i) to shift
+ SHRPD %r4,%r5,%sar,%r4 ; l>> (64-i)
+ MTSARCM %r31 ; i to shift
+ DEPD,Z %r5,%sar,64,%r5 ; l <<= i;
+
+$0000001A
+ DEPDI,Z -1,31,32,%r19
+ EXTRD,U %r3,31,32,%r6 ; dh=(d&0xfff)>>32
+ EXTRD,U %r3,63,32,%r8 ; dl = d&0xffffff
+ LDO 2(%r0),%r9
+ STD %r3,-280(%r30) ; "d" to stack
+
+$0000001C
+ DEPDI,Z -1,63,32,%r29 ;
+ EXTRD,U %r4,31,32,%r31 ; h >> 32
+ CMPB,*=,N %r31,%r6,$D2 ; if ((h>>32) != dh)(forward) div
+ COPY %r4,%r26
+ EXTRD,U %r4,31,32,%r25
+ COPY %r6,%r24
+ .CALL ;in=23,24,25,26;out=20,21,22,28,29; (MILLICALL)
+ B,L $$div2U,%r2
+ EXTRD,U %r6,31,32,%r23
+ DEPD %r28,31,32,%r29
+$D2
+ STD %r29,-272(%r30) ; q
+ AND %r5,%r19,%r24 ; t & 0xffffffff00000000;
+ EXTRD,U %r24,31,32,%r24 ; ???
+ FLDD -272(%r30),%fr7 ; q
+ FLDD -280(%r30),%fr8 ; d
+ XMPYU %fr8L,%fr7L,%fr10
+ FSTD %fr10,-256(%r30)
+ XMPYU %fr8L,%fr7R,%fr22
+ FSTD %fr22,-264(%r30)
+ XMPYU %fr8R,%fr7L,%fr11
+ XMPYU %fr8R,%fr7R,%fr23
+ FSTD %fr11,-232(%r30)
+ FSTD %fr23,-240(%r30)
+ LDD -256(%r30),%r28
+ DEPD,Z %r28,31,32,%r2
+ LDD -264(%r30),%r20
+ ADD,L %r20,%r2,%r31
+ LDD -232(%r30),%r22
+ DEPD,Z %r22,31,32,%r22
+ LDD -240(%r30),%r21
+ B $00000024 ; enter loop
+ ADD,L %r21,%r22,%r23
+
+$0000002A
+ LDO -1(%r29),%r29
+ SUB %r23,%r8,%r23
+$00000024
+ SUB %r4,%r31,%r25
+ AND %r25,%r19,%r26
+ CMPB,*<>,N %r0,%r26,$00000046 ; (forward)
+ DEPD,Z %r25,31,32,%r20
+ OR %r20,%r24,%r21
+ CMPB,*<<,N %r21,%r23,$0000002A ;(backward)
+ SUB %r31,%r6,%r31
+;-------------Break path---------------------
+
+$00000046
+ DEPD,Z %r23,31,32,%r25 ;tl
+ EXTRD,U %r23,31,32,%r26 ;t
+ AND %r25,%r19,%r24 ;tl = (tl<<32)&0xfffffff0000000L
+ ADD,L %r31,%r26,%r31 ;th += t;
+ CMPCLR,*>>= %r5,%r24,%r0 ;if (l<tl)
+ LDO 1(%r31),%r31 ; th++;
+ CMPB,*<<=,N %r31,%r4,$00000036 ;if (n < th) (forward)
+ LDO -1(%r29),%r29 ;q--;
+ ADD,L %r4,%r3,%r4 ;h += d;
+$00000036
+ ADDIB,=,N -1,%r9,$D1 ;if (--count == 0) break (forward)
+ SUB %r5,%r24,%r28 ; l -= tl;
+ SUB %r4,%r31,%r24 ; h -= th;
+ SHRPD %r24,%r28,32,%r4 ; h = ((h<<32)|(l>>32));
+ DEPD,Z %r29,31,32,%r10 ; ret = q<<32
+ b $0000001C
+ DEPD,Z %r28,31,32,%r5 ; l = l << 32
+
+$D1
+ OR %r10,%r29,%r28 ; ret |= q
+$D3
+ LDD -368(%r30),%r2
+$D0
+ LDD -296(%r30),%r10
+ LDD -304(%r30),%r9
+ LDD -312(%r30),%r8
+ LDD -320(%r30),%r7
+ LDD -328(%r30),%r6
+ LDD -336(%r30),%r5
+ LDD -344(%r30),%r4
+ BVE (%r2)
+ .EXIT
+ LDD,MB -352(%r30),%r3
+
+bn_div_err_case
+ MFIA %r6
+ ADDIL L'bn_div_words-bn_div_err_case,%r6,%r1
+ LDO R'bn_div_words-bn_div_err_case(%r1),%r6
+ ADDIL LT'__iob,%r27,%r1
+ LDD RT'__iob(%r1),%r26
+ ADDIL L'C$4-bn_div_words,%r6,%r1
+ LDO R'C$4-bn_div_words(%r1),%r25
+ LDO 64(%r26),%r26
+ .CALL ;in=24,25,26,29;out=28;
+ B,L fprintf,%r2
+ LDO -48(%r30),%r29
+ LDD -288(%r30),%r27
+ .CALL ;in=29;
+ B,L abort,%r2
+ LDO -48(%r30),%r29
+ LDD -288(%r30),%r27
+ B $D0
+ LDD -368(%r30),%r2
+ .PROCEND ;in=24,25,26,29;out=28;
+
+;----------------------------------------------------------------------------
+;
+; Registers to hold 64-bit values to manipulate. The "L" part
+; of the register corresponds to the upper 32-bits, while the "R"
+; part corresponds to the lower 32-bits
+;
+; Note, that when using b6 and b7, the code must save these before
+; using them because they are callee save registers
+;
+;
+; Floating point registers to use to save values that
+; are manipulated. These don't collide with ftemp1-6 and
+; are all caller save registers
+;
+a0 .reg %fr22
+a0L .reg %fr22L
+a0R .reg %fr22R
+
+a1 .reg %fr23
+a1L .reg %fr23L
+a1R .reg %fr23R
+
+a2 .reg %fr24
+a2L .reg %fr24L
+a2R .reg %fr24R
+
+a3 .reg %fr25
+a3L .reg %fr25L
+a3R .reg %fr25R
+
+a4 .reg %fr26
+a4L .reg %fr26L
+a4R .reg %fr26R
+
+a5 .reg %fr27
+a5L .reg %fr27L
+a5R .reg %fr27R
+
+a6 .reg %fr28
+a6L .reg %fr28L
+a6R .reg %fr28R
+
+a7 .reg %fr29
+a7L .reg %fr29L
+a7R .reg %fr29R
+
+b0 .reg %fr30
+b0L .reg %fr30L
+b0R .reg %fr30R
+
+b1 .reg %fr31
+b1L .reg %fr31L
+b1R .reg %fr31R
+
+;
+; Temporary floating point variables, these are all caller save
+; registers
+;
+ftemp1 .reg %fr4
+ftemp2 .reg %fr5
+ftemp3 .reg %fr6
+ftemp4 .reg %fr7
+
+;
+; The B set of registers when used.
+;
+
+b2 .reg %fr8
+b2L .reg %fr8L
+b2R .reg %fr8R
+
+b3 .reg %fr9
+b3L .reg %fr9L
+b3R .reg %fr9R
+
+b4 .reg %fr10
+b4L .reg %fr10L
+b4R .reg %fr10R
+
+b5 .reg %fr11
+b5L .reg %fr11L
+b5R .reg %fr11R
+
+b6 .reg %fr12
+b6L .reg %fr12L
+b6R .reg %fr12R
+
+b7 .reg %fr13
+b7L .reg %fr13L
+b7R .reg %fr13R
+
+c1 .reg %r21 ; only reg
+temp1 .reg %r20 ; only reg
+temp2 .reg %r19 ; only reg
+temp3 .reg %r31 ; only reg
+
+m1 .reg %r28
+c2 .reg %r23
+high_one .reg %r1
+ht .reg %r6
+lt .reg %r5
+m .reg %r4
+c3 .reg %r3
+
+SQR_ADD_C .macro A0L,A0R,C1,C2,C3
+ XMPYU A0L,A0R,ftemp1 ; m
+ FSTD ftemp1,-24(%sp) ; store m
+
+ XMPYU A0R,A0R,ftemp2 ; lt
+ FSTD ftemp2,-16(%sp) ; store lt
+
+ XMPYU A0L,A0L,ftemp3 ; ht
+ FSTD ftemp3,-8(%sp) ; store ht
+
+ LDD -24(%sp),m ; load m
+ AND m,high_mask,temp2 ; m & Mask
+ DEPD,Z m,30,31,temp3 ; m << 32+1
+ LDD -16(%sp),lt ; lt
+
+ LDD -8(%sp),ht ; ht
+ EXTRD,U temp2,32,33,temp1 ; temp1 = m&Mask >> 32-1
+ ADD temp3,lt,lt ; lt = lt+m
+ ADD,L ht,temp1,ht ; ht += temp1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C2,ht,C2 ; c2=c2+ht
+ ADD,DC C3,%r0,C3 ; c3++
+.endm
+
+SQR_ADD_C2 .macro A0L,A0R,A1L,A1R,C1,C2,C3
+ XMPYU A0L,A1R,ftemp1 ; m1 = bl*ht
+ FSTD ftemp1,-16(%sp) ;
+ XMPYU A0R,A1L,ftemp2 ; m = bh*lt
+ FSTD ftemp2,-8(%sp) ;
+ XMPYU A0R,A1R,ftemp3 ; lt = bl*lt
+ FSTD ftemp3,-32(%sp)
+ XMPYU A0L,A1L,ftemp4 ; ht = bh*ht
+ FSTD ftemp4,-24(%sp) ;
+
+ LDD -8(%sp),m ; r21 = m
+ LDD -16(%sp),m1 ; r19 = m1
+ ADD,L m,m1,m ; m+m1
+
+ DEPD,Z m,31,32,temp3 ; (m+m1<<32)
+ LDD -24(%sp),ht ; r24 = ht
+
+ CMPCLR,*>>= m,m1,%r0 ; if (m < m1)
+ ADD,L ht,high_one,ht ; ht+=high_one
+
+ EXTRD,U m,31,32,temp1 ; m >> 32
+ LDD -32(%sp),lt ; lt
+ ADD,L ht,temp1,ht ; ht+= m>>32
+ ADD lt,temp3,lt ; lt = lt+m1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD ht,ht,ht ; ht=ht+ht;
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+
+ ADD lt,lt,lt ; lt=lt+lt;
+ ADD,DC ht,%r0,ht ; add in carry (ht++)
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC,*NUV ht,%r0,ht ; add in carry (ht++)
+ LDO 1(C3),C3 ; bump c3 if overflow,nullify otherwise
+
+ ADD C2,ht,C2 ; c2 = c2 + ht
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+.endm
+
+;
+;void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
+; arg0 = r_ptr
+; arg1 = a_ptr
+;
+
+bn_sqr_comba8
+ .PROC
+ .CALLINFO FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_comba8,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .ENTRY
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ SQR_ADD_C a0L,a0R,c1,c2,c3
+ STD c1,0(r_ptr) ; r[0] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a1L,a1R,a0L,a0R,c2,c3,c1
+ STD c2,8(r_ptr) ; r[1] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a2L,a2R,a0L,a0R,c3,c1,c2
+ STD c3,16(r_ptr) ; r[2] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a3L,a3R,a0L,a0R,c1,c2,c3
+ SQR_ADD_C2 a2L,a2R,a1L,a1R,c1,c2,c3
+ STD c1,24(r_ptr) ; r[3] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a3L,a3R,a1L,a1R,c2,c3,c1
+ SQR_ADD_C2 a4L,a4R,a0L,a0R,c2,c3,c1
+ STD c2,32(r_ptr) ; r[4] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a5L,a5R,a0L,a0R,c3,c1,c2
+ SQR_ADD_C2 a4L,a4R,a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a3L,a3R,a2L,a2R,c3,c1,c2
+ STD c3,40(r_ptr) ; r[5] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a3L,a3R,c1,c2,c3
+ SQR_ADD_C2 a4L,a4R,a2L,a2R,c1,c2,c3
+ SQR_ADD_C2 a5L,a5R,a1L,a1R,c1,c2,c3
+ SQR_ADD_C2 a6L,a6R,a0L,a0R,c1,c2,c3
+ STD c1,48(r_ptr) ; r[6] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a7L,a7R,a0L,a0R,c2,c3,c1
+ SQR_ADD_C2 a6L,a6R,a1L,a1R,c2,c3,c1
+ SQR_ADD_C2 a5L,a5R,a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a4L,a4R,a3L,a3R,c2,c3,c1
+ STD c2,56(r_ptr) ; r[7] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a4L,a4R,c3,c1,c2
+ SQR_ADD_C2 a5L,a5R,a3L,a3R,c3,c1,c2
+ SQR_ADD_C2 a6L,a6R,a2L,a2R,c3,c1,c2
+ SQR_ADD_C2 a7L,a7R,a1L,a1R,c3,c1,c2
+ STD c3,64(r_ptr) ; r[8] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a7L,a7R,a2L,a2R,c1,c2,c3
+ SQR_ADD_C2 a6L,a6R,a3L,a3R,c1,c2,c3
+ SQR_ADD_C2 a5L,a5R,a4L,a4R,c1,c2,c3
+ STD c1,72(r_ptr) ; r[9] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a5L,a5R,c2,c3,c1
+ SQR_ADD_C2 a6L,a6R,a4L,a4R,c2,c3,c1
+ SQR_ADD_C2 a7L,a7R,a3L,a3R,c2,c3,c1
+ STD c2,80(r_ptr) ; r[10] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a7L,a7R,a4L,a4R,c3,c1,c2
+ SQR_ADD_C2 a6L,a6R,a5L,a5R,c3,c1,c2
+ STD c3,88(r_ptr) ; r[11] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a6L,a6R,c1,c2,c3
+ SQR_ADD_C2 a7L,a7R,a5L,a5R,c1,c2,c3
+ STD c1,96(r_ptr) ; r[12] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a7L,a7R,a6L,a6R,c2,c3,c1
+ STD c2,104(r_ptr) ; r[13] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a7L,a7R,c3,c1,c2
+ STD c3, 112(r_ptr) ; r[14] = c3
+ STD c1, 120(r_ptr) ; r[15] = c1
+
+ .EXIT
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+;-----------------------------------------------------------------------------
+;
+;void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
+; arg0 = r_ptr
+; arg1 = a_ptr
+;
+
+bn_sqr_comba4
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_sqr_comba4,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z -1,32,33,high_mask ; Create Mask 0xffffffff80000000L
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ SQR_ADD_C a0L,a0R,c1,c2,c3
+
+ STD c1,0(r_ptr) ; r[0] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C2 a1L,a1R,a0L,a0R,c2,c3,c1
+
+ STD c2,8(r_ptr) ; r[1] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C a1L,a1R,c3,c1,c2
+ SQR_ADD_C2 a2L,a2R,a0L,a0R,c3,c1,c2
+
+ STD c3,16(r_ptr) ; r[2] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C2 a3L,a3R,a0L,a0R,c1,c2,c3
+ SQR_ADD_C2 a2L,a2R,a1L,a1R,c1,c2,c3
+
+ STD c1,24(r_ptr) ; r[3] = c1;
+ COPY %r0,c1
+
+ SQR_ADD_C a2L,a2R,c2,c3,c1
+ SQR_ADD_C2 a3L,a3R,a1L,a1R,c2,c3,c1
+
+ STD c2,32(r_ptr) ; r[4] = c2;
+ COPY %r0,c2
+
+ SQR_ADD_C2 a3L,a3R,a2L,a2R,c3,c1,c2
+ STD c3,40(r_ptr) ; r[5] = c3;
+ COPY %r0,c3
+
+ SQR_ADD_C a3L,a3R,c1,c2,c3
+ STD c1,48(r_ptr) ; r[6] = c1;
+ STD c2,56(r_ptr) ; r[7] = c2;
+
+ .EXIT
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+
+;---------------------------------------------------------------------------
+
+MUL_ADD_C .macro A0L,A0R,B0L,B0R,C1,C2,C3
+ XMPYU A0L,B0R,ftemp1 ; m1 = bl*ht
+ FSTD ftemp1,-16(%sp) ;
+ XMPYU A0R,B0L,ftemp2 ; m = bh*lt
+ FSTD ftemp2,-8(%sp) ;
+ XMPYU A0R,B0R,ftemp3 ; lt = bl*lt
+ FSTD ftemp3,-32(%sp)
+ XMPYU A0L,B0L,ftemp4 ; ht = bh*ht
+ FSTD ftemp4,-24(%sp) ;
+
+ LDD -8(%sp),m ; r21 = m
+ LDD -16(%sp),m1 ; r19 = m1
+ ADD,L m,m1,m ; m+m1
+
+ DEPD,Z m,31,32,temp3 ; (m+m1<<32)
+ LDD -24(%sp),ht ; r24 = ht
+
+ CMPCLR,*>>= m,m1,%r0 ; if (m < m1)
+ ADD,L ht,high_one,ht ; ht+=high_one
+
+ EXTRD,U m,31,32,temp1 ; m >> 32
+ LDD -32(%sp),lt ; lt
+ ADD,L ht,temp1,ht ; ht+= m>>32
+ ADD lt,temp3,lt ; lt = lt+m1
+ ADD,DC ht,%r0,ht ; ht++
+
+ ADD C1,lt,C1 ; c1=c1+lt
+ ADD,DC ht,%r0,ht ; bump c3 if overflow,nullify otherwise
+
+ ADD C2,ht,C2 ; c2 = c2 + ht
+ ADD,DC C3,%r0,C3 ; add in carry (c3++)
+.endm
+
+
+;
+;void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg2 = b_ptr
+;
+
+bn_mul_comba8
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_mul_comba8,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+ FSTD %fr12,32(%sp) ; save r6
+ FSTD %fr13,40(%sp) ; save r7
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+ FLDD 32(a_ptr),a4
+ FLDD 40(a_ptr),a5
+ FLDD 48(a_ptr),a6
+ FLDD 56(a_ptr),a7
+
+ FLDD 0(b_ptr),b0
+ FLDD 8(b_ptr),b1
+ FLDD 16(b_ptr),b2
+ FLDD 24(b_ptr),b3
+ FLDD 32(b_ptr),b4
+ FLDD 40(b_ptr),b5
+ FLDD 48(b_ptr),b6
+ FLDD 56(b_ptr),b7
+
+ MUL_ADD_C a0L,a0R,b0L,b0R,c1,c2,c3
+ STD c1,0(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b0L,b0R,c2,c3,c1
+ STD c2,8(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b0L,b0R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a0L,a0R,b2L,b2R,c3,c1,c2
+ STD c3,16(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a0L,a0R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b0L,b0R,c1,c2,c3
+ STD c1,24(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a4L,a4R,b0L,b0R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a0L,a0R,b4L,b4R,c2,c3,c1
+ STD c2,32(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a0L,a0R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b4L,b4R,c3,c1,c2
+ MUL_ADD_C a2L,a2R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b2L,b2R,c3,c1,c2
+ MUL_ADD_C a4L,a4R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b0L,b0R,c3,c1,c2
+ STD c3,40(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a6L,a6R,b0L,b0R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a4L,a4R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b4L,b4R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a0L,a0R,b6L,b6R,c1,c2,c3
+ STD c1,48(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b7L,b7R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b6L,b6R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b5L,b5R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b4L,b4R,c2,c3,c1
+ MUL_ADD_C a4L,a4R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a5L,a5R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a6L,a6R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a7L,a7R,b0L,b0R,c2,c3,c1
+ STD c2,56(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a7L,a7R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a6L,a6R,b2L,b2R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a4L,a4R,b4L,b4R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a2L,a2R,b6L,b6R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b7L,b7R,c3,c1,c2
+ STD c3,64(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a2L,a2R,b7L,b7R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b6L,b6R,c1,c2,c3
+ MUL_ADD_C a4L,a4R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b4L,b4R,c1,c2,c3
+ MUL_ADD_C a6L,a6R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a7L,a7R,b2L,b2R,c1,c2,c3
+ STD c1,72(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a7L,a7R,b3L,b3R,c2,c3,c1
+ MUL_ADD_C a6L,a6R,b4L,b4R,c2,c3,c1
+ MUL_ADD_C a5L,a5R,b5L,b5R,c2,c3,c1
+ MUL_ADD_C a4L,a4R,b6L,b6R,c2,c3,c1
+ MUL_ADD_C a3L,a3R,b7L,b7R,c2,c3,c1
+ STD c2,80(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a4L,a4R,b7L,b7R,c3,c1,c2
+ MUL_ADD_C a5L,a5R,b6L,b6R,c3,c1,c2
+ MUL_ADD_C a6L,a6R,b5L,b5R,c3,c1,c2
+ MUL_ADD_C a7L,a7R,b4L,b4R,c3,c1,c2
+ STD c3,88(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a7L,a7R,b5L,b5R,c1,c2,c3
+ MUL_ADD_C a6L,a6R,b6L,b6R,c1,c2,c3
+ MUL_ADD_C a5L,a5R,b7L,b7R,c1,c2,c3
+ STD c1,96(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a6L,a6R,b7L,b7R,c2,c3,c1
+ MUL_ADD_C a7L,a7R,b6L,b6R,c2,c3,c1
+ STD c2,104(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a7L,a7R,b7L,b7R,c3,c1,c2
+ STD c3,112(r_ptr)
+ STD c1,120(r_ptr)
+
+ .EXIT
+ FLDD -88(%sp),%fr13
+ FLDD -96(%sp),%fr12
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+;-----------------------------------------------------------------------------
+;
+;void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+; arg0 = r_ptr
+; arg1 = a_ptr
+; arg2 = b_ptr
+;
+
+bn_mul_comba4
+ .proc
+ .callinfo FRAME=128,ENTRY_GR=%r3,ARGS_SAVED,ORDERING_AWARE
+ .EXPORT bn_mul_comba4,ENTRY,PRIV_LEV=3,NO_RELOCATION,LONG_RETURN
+ .entry
+ .align 64
+
+ STD %r3,0(%sp) ; save r3
+ STD %r4,8(%sp) ; save r4
+ STD %r5,16(%sp) ; save r5
+ STD %r6,24(%sp) ; save r6
+ FSTD %fr12,32(%sp) ; save r6
+ FSTD %fr13,40(%sp) ; save r7
+
+ ;
+ ; Zero out carries
+ ;
+ COPY %r0,c1
+ COPY %r0,c2
+ COPY %r0,c3
+
+ LDO 128(%sp),%sp ; bump stack
+ DEPDI,Z 1,31,1,high_one ; Create Value 1 << 32
+
+ ;
+ ; Load up all of the values we are going to use
+ ;
+ FLDD 0(a_ptr),a0
+ FLDD 8(a_ptr),a1
+ FLDD 16(a_ptr),a2
+ FLDD 24(a_ptr),a3
+
+ FLDD 0(b_ptr),b0
+ FLDD 8(b_ptr),b1
+ FLDD 16(b_ptr),b2
+ FLDD 24(b_ptr),b3
+
+ MUL_ADD_C a0L,a0R,b0L,b0R,c1,c2,c3
+ STD c1,0(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a0L,a0R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b0L,b0R,c2,c3,c1
+ STD c2,8(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b0L,b0R,c3,c1,c2
+ MUL_ADD_C a1L,a1R,b1L,b1R,c3,c1,c2
+ MUL_ADD_C a0L,a0R,b2L,b2R,c3,c1,c2
+ STD c3,16(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a0L,a0R,b3L,b3R,c1,c2,c3
+ MUL_ADD_C a1L,a1R,b2L,b2R,c1,c2,c3
+ MUL_ADD_C a2L,a2R,b1L,b1R,c1,c2,c3
+ MUL_ADD_C a3L,a3R,b0L,b0R,c1,c2,c3
+ STD c1,24(r_ptr)
+ COPY %r0,c1
+
+ MUL_ADD_C a3L,a3R,b1L,b1R,c2,c3,c1
+ MUL_ADD_C a2L,a2R,b2L,b2R,c2,c3,c1
+ MUL_ADD_C a1L,a1R,b3L,b3R,c2,c3,c1
+ STD c2,32(r_ptr)
+ COPY %r0,c2
+
+ MUL_ADD_C a2L,a2R,b3L,b3R,c3,c1,c2
+ MUL_ADD_C a3L,a3R,b2L,b2R,c3,c1,c2
+ STD c3,40(r_ptr)
+ COPY %r0,c3
+
+ MUL_ADD_C a3L,a3R,b3L,b3R,c1,c2,c3
+ STD c1,48(r_ptr)
+ STD c2,56(r_ptr)
+
+ .EXIT
+ FLDD -88(%sp),%fr13
+ FLDD -96(%sp),%fr12
+ LDD -104(%sp),%r6 ; restore r6
+ LDD -112(%sp),%r5 ; restore r5
+ LDD -120(%sp),%r4 ; restore r4
+ BVE (%rp)
+ LDD,MB -128(%sp),%r3
+
+ .PROCEND
+
+
+ .SPACE $TEXT$
+ .SUBSPA $CODE$
+ .SPACE $PRIVATE$,SORT=16
+ .IMPORT $global$,DATA
+ .SPACE $TEXT$
+ .SUBSPA $CODE$
+ .SUBSPA $LIT$,ACCESS=0x2c
+C$4
+ .ALIGN 8
+ .STRINGZ "Division would overflow (%d)\n"
+ .END
diff --git a/openssl/crypto/bn/asm/ppc-mont.pl b/openssl/crypto/bn/asm/ppc-mont.pl
new file mode 100644
index 00000000..7849eae9
--- /dev/null
+++ b/openssl/crypto/bn/asm/ppc-mont.pl
@@ -0,0 +1,323 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# April 2006
+
+# "Teaser" Montgomery multiplication module for PowerPC. It's possible
+# to gain a bit more by modulo-scheduling outer loop, then dedicated
+# squaring procedure should give further 20% and code can be adapted
+# for 32-bit application running on 64-bit CPU. As for the latter.
+# It won't be able to achieve "native" 64-bit performance, because in
+# 32-bit application context every addc instruction will have to be
+# expanded as addc, twice right shift by 32 and finally adde, etc.
+# So far RSA *sign* performance improvement over pre-bn_mul_mont asm
+# for 64-bit application running on PPC970/G5 is:
+#
+# 512-bit +65%
+# 1024-bit +35%
+# 2048-bit +18%
+# 4096-bit +4%
+
+$flavour = shift;
+
+if ($flavour =~ /32/) {
+ $BITS= 32;
+ $BNSZ= $BITS/8;
+ $SIZE_T=4;
+ $RZONE= 224;
+ $FRAME= $SIZE_T*16;
+
+ $LD= "lwz"; # load
+ $LDU= "lwzu"; # load and update
+ $LDX= "lwzx"; # load indexed
+ $ST= "stw"; # store
+ $STU= "stwu"; # store and update
+ $STX= "stwx"; # store indexed
+ $STUX= "stwux"; # store indexed and update
+ $UMULL= "mullw"; # unsigned multiply low
+ $UMULH= "mulhwu"; # unsigned multiply high
+ $UCMP= "cmplw"; # unsigned compare
+ $SHRI= "srwi"; # unsigned shift right by immediate
+ $PUSH= $ST;
+ $POP= $LD;
+} elsif ($flavour =~ /64/) {
+ $BITS= 64;
+ $BNSZ= $BITS/8;
+ $SIZE_T=8;
+ $RZONE= 288;
+ $FRAME= $SIZE_T*16;
+
+ # same as above, but 64-bit mnemonics...
+ $LD= "ld"; # load
+ $LDU= "ldu"; # load and update
+ $LDX= "ldx"; # load indexed
+ $ST= "std"; # store
+ $STU= "stdu"; # store and update
+ $STX= "stdx"; # store indexed
+ $STUX= "stdux"; # store indexed and update
+ $UMULL= "mulld"; # unsigned multiply low
+ $UMULH= "mulhdu"; # unsigned multiply high
+ $UCMP= "cmpld"; # unsigned compare
+ $SHRI= "srdi"; # unsigned shift right by immediate
+ $PUSH= $ST;
+ $POP= $LD;
+} else { die "nonsense $flavour"; }
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
+die "can't locate ppc-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!";
+
+$sp="r1";
+$toc="r2";
+$rp="r3"; $ovf="r3";
+$ap="r4";
+$bp="r5";
+$np="r6";
+$n0="r7";
+$num="r8";
+$rp="r9"; # $rp is reassigned
+$aj="r10";
+$nj="r11";
+$tj="r12";
+# non-volatile registers
+$i="r14";
+$j="r15";
+$tp="r16";
+$m0="r17";
+$m1="r18";
+$lo0="r19";
+$hi0="r20";
+$lo1="r21";
+$hi1="r22";
+$alo="r23";
+$ahi="r24";
+$nlo="r25";
+#
+$nhi="r0";
+
+$code=<<___;
+.machine "any"
+.text
+
+.globl .bn_mul_mont
+.align 4
+.bn_mul_mont:
+ cmpwi $num,4
+ mr $rp,r3 ; $rp is reassigned
+ li r3,0
+ bltlr
+
+ slwi $num,$num,`log($BNSZ)/log(2)`
+ li $tj,-4096
+ addi $ovf,$num,`$FRAME+$RZONE`
+ subf $ovf,$ovf,$sp ; $sp-$ovf
+ and $ovf,$ovf,$tj ; minimize TLB usage
+ subf $ovf,$sp,$ovf ; $ovf-$sp
+ srwi $num,$num,`log($BNSZ)/log(2)`
+ $STUX $sp,$sp,$ovf
+
+ $PUSH r14,`4*$SIZE_T`($sp)
+ $PUSH r15,`5*$SIZE_T`($sp)
+ $PUSH r16,`6*$SIZE_T`($sp)
+ $PUSH r17,`7*$SIZE_T`($sp)
+ $PUSH r18,`8*$SIZE_T`($sp)
+ $PUSH r19,`9*$SIZE_T`($sp)
+ $PUSH r20,`10*$SIZE_T`($sp)
+ $PUSH r21,`11*$SIZE_T`($sp)
+ $PUSH r22,`12*$SIZE_T`($sp)
+ $PUSH r23,`13*$SIZE_T`($sp)
+ $PUSH r24,`14*$SIZE_T`($sp)
+ $PUSH r25,`15*$SIZE_T`($sp)
+
+ $LD $n0,0($n0) ; pull n0[0] value
+ addi $num,$num,-2 ; adjust $num for counter register
+
+ $LD $m0,0($bp) ; m0=bp[0]
+ $LD $aj,0($ap) ; ap[0]
+ addi $tp,$sp,$FRAME
+ $UMULL $lo0,$aj,$m0 ; ap[0]*bp[0]
+ $UMULH $hi0,$aj,$m0
+
+ $LD $aj,$BNSZ($ap) ; ap[1]
+ $LD $nj,0($np) ; np[0]
+
+ $UMULL $m1,$lo0,$n0 ; "tp[0]"*n0
+
+ $UMULL $alo,$aj,$m0 ; ap[1]*bp[0]
+ $UMULH $ahi,$aj,$m0
+
+ $UMULL $lo1,$nj,$m1 ; np[0]*m1
+ $UMULH $hi1,$nj,$m1
+ $LD $nj,$BNSZ($np) ; np[1]
+ addc $lo1,$lo1,$lo0
+ addze $hi1,$hi1
+
+ $UMULL $nlo,$nj,$m1 ; np[1]*m1
+ $UMULH $nhi,$nj,$m1
+
+ mtctr $num
+ li $j,`2*$BNSZ`
+.align 4
+L1st:
+ $LDX $aj,$ap,$j ; ap[j]
+ addc $lo0,$alo,$hi0
+ $LDX $nj,$np,$j ; np[j]
+ addze $hi0,$ahi
+ $UMULL $alo,$aj,$m0 ; ap[j]*bp[0]
+ addc $lo1,$nlo,$hi1
+ $UMULH $ahi,$aj,$m0
+ addze $hi1,$nhi
+ $UMULL $nlo,$nj,$m1 ; np[j]*m1
+ addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[0]
+ $UMULH $nhi,$nj,$m1
+ addze $hi1,$hi1
+ $ST $lo1,0($tp) ; tp[j-1]
+
+ addi $j,$j,$BNSZ ; j++
+ addi $tp,$tp,$BNSZ ; tp++
+ bdnz- L1st
+;L1st
+ addc $lo0,$alo,$hi0
+ addze $hi0,$ahi
+
+ addc $lo1,$nlo,$hi1
+ addze $hi1,$nhi
+ addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[0]
+ addze $hi1,$hi1
+ $ST $lo1,0($tp) ; tp[j-1]
+
+ li $ovf,0
+ addc $hi1,$hi1,$hi0
+ addze $ovf,$ovf ; upmost overflow bit
+ $ST $hi1,$BNSZ($tp)
+
+ li $i,$BNSZ
+.align 4
+Louter:
+ $LDX $m0,$bp,$i ; m0=bp[i]
+ $LD $aj,0($ap) ; ap[0]
+ addi $tp,$sp,$FRAME
+ $LD $tj,$FRAME($sp) ; tp[0]
+ $UMULL $lo0,$aj,$m0 ; ap[0]*bp[i]
+ $UMULH $hi0,$aj,$m0
+ $LD $aj,$BNSZ($ap) ; ap[1]
+ $LD $nj,0($np) ; np[0]
+ addc $lo0,$lo0,$tj ; ap[0]*bp[i]+tp[0]
+ $UMULL $alo,$aj,$m0 ; ap[j]*bp[i]
+ addze $hi0,$hi0
+ $UMULL $m1,$lo0,$n0 ; tp[0]*n0
+ $UMULH $ahi,$aj,$m0
+ $UMULL $lo1,$nj,$m1 ; np[0]*m1
+ $UMULH $hi1,$nj,$m1
+ $LD $nj,$BNSZ($np) ; np[1]
+ addc $lo1,$lo1,$lo0
+ $UMULL $nlo,$nj,$m1 ; np[1]*m1
+ addze $hi1,$hi1
+ $UMULH $nhi,$nj,$m1
+
+ mtctr $num
+ li $j,`2*$BNSZ`
+.align 4
+Linner:
+ $LDX $aj,$ap,$j ; ap[j]
+ addc $lo0,$alo,$hi0
+ $LD $tj,$BNSZ($tp) ; tp[j]
+ addze $hi0,$ahi
+ $LDX $nj,$np,$j ; np[j]
+ addc $lo1,$nlo,$hi1
+ $UMULL $alo,$aj,$m0 ; ap[j]*bp[i]
+ addze $hi1,$nhi
+ $UMULH $ahi,$aj,$m0
+ addc $lo0,$lo0,$tj ; ap[j]*bp[i]+tp[j]
+ $UMULL $nlo,$nj,$m1 ; np[j]*m1
+ addze $hi0,$hi0
+ $UMULH $nhi,$nj,$m1
+ addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[i]+tp[j]
+ addi $j,$j,$BNSZ ; j++
+ addze $hi1,$hi1
+ $ST $lo1,0($tp) ; tp[j-1]
+ addi $tp,$tp,$BNSZ ; tp++
+ bdnz- Linner
+;Linner
+ $LD $tj,$BNSZ($tp) ; tp[j]
+ addc $lo0,$alo,$hi0
+ addze $hi0,$ahi
+ addc $lo0,$lo0,$tj ; ap[j]*bp[i]+tp[j]
+ addze $hi0,$hi0
+
+ addc $lo1,$nlo,$hi1
+ addze $hi1,$nhi
+ addc $lo1,$lo1,$lo0 ; np[j]*m1+ap[j]*bp[i]+tp[j]
+ addze $hi1,$hi1
+ $ST $lo1,0($tp) ; tp[j-1]
+
+ addic $ovf,$ovf,-1 ; move upmost overflow to XER[CA]
+ li $ovf,0
+ adde $hi1,$hi1,$hi0
+ addze $ovf,$ovf
+ $ST $hi1,$BNSZ($tp)
+;
+ slwi $tj,$num,`log($BNSZ)/log(2)`
+ $UCMP $i,$tj
+ addi $i,$i,$BNSZ
+ ble- Louter
+
+ addi $num,$num,2 ; restore $num
+ subfc $j,$j,$j ; j=0 and "clear" XER[CA]
+ addi $tp,$sp,$FRAME
+ mtctr $num
+
+.align 4
+Lsub: $LDX $tj,$tp,$j
+ $LDX $nj,$np,$j
+ subfe $aj,$nj,$tj ; tp[j]-np[j]
+ $STX $aj,$rp,$j
+ addi $j,$j,$BNSZ
+ bdnz- Lsub
+
+ li $j,0
+ mtctr $num
+ subfe $ovf,$j,$ovf ; handle upmost overflow bit
+ and $ap,$tp,$ovf
+ andc $np,$rp,$ovf
+ or $ap,$ap,$np ; ap=borrow?tp:rp
+
+.align 4
+Lcopy: ; copy or in-place refresh
+ $LDX $tj,$ap,$j
+ $STX $tj,$rp,$j
+ $STX $j,$tp,$j ; zap at once
+ addi $j,$j,$BNSZ
+ bdnz- Lcopy
+
+ $POP r14,`4*$SIZE_T`($sp)
+ $POP r15,`5*$SIZE_T`($sp)
+ $POP r16,`6*$SIZE_T`($sp)
+ $POP r17,`7*$SIZE_T`($sp)
+ $POP r18,`8*$SIZE_T`($sp)
+ $POP r19,`9*$SIZE_T`($sp)
+ $POP r20,`10*$SIZE_T`($sp)
+ $POP r21,`11*$SIZE_T`($sp)
+ $POP r22,`12*$SIZE_T`($sp)
+ $POP r23,`13*$SIZE_T`($sp)
+ $POP r24,`14*$SIZE_T`($sp)
+ $POP r25,`15*$SIZE_T`($sp)
+ $POP $sp,0($sp)
+ li r3,1
+ blr
+ .long 0
+.asciz "Montgomery Multiplication for PPC, CRYPTOGAMS by <appro\@fy.chalmers.se>"
+___
+
+$code =~ s/\`([^\`]*)\`/eval $1/gem;
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/ppc.pl b/openssl/crypto/bn/asm/ppc.pl
new file mode 100644
index 00000000..37c65d35
--- /dev/null
+++ b/openssl/crypto/bn/asm/ppc.pl
@@ -0,0 +1,1981 @@
+#!/usr/bin/env perl
+#
+# Implemented as a Perl wrapper as we want to support several different
+# architectures with single file. We pick up the target based on the
+# file name we are asked to generate.
+#
+# It should be noted though that this perl code is nothing like
+# <openssl>/crypto/perlasm/x86*. In this case perl is used pretty much
+# as pre-processor to cover for platform differences in name decoration,
+# linker tables, 32-/64-bit instruction sets...
+#
+# As you might know there're several PowerPC ABI in use. Most notably
+# Linux and AIX use different 32-bit ABIs. Good news are that these ABIs
+# are similar enough to implement leaf(!) functions, which would be ABI
+# neutral. And that's what you find here: ABI neutral leaf functions.
+# In case you wonder what that is...
+#
+# AIX performance
+#
+# MEASUREMENTS WITH cc ON a 200 MhZ PowerPC 604e.
+#
+# The following is the performance of 32-bit compiler
+# generated code:
+#
+# OpenSSL 0.9.6c 21 dec 2001
+# built on: Tue Jun 11 11:06:51 EDT 2002
+# options:bn(64,32) ...
+#compiler: cc -DTHREADS -DAIX -DB_ENDIAN -DBN_LLONG -O3
+# sign verify sign/s verify/s
+#rsa 512 bits 0.0098s 0.0009s 102.0 1170.6
+#rsa 1024 bits 0.0507s 0.0026s 19.7 387.5
+#rsa 2048 bits 0.3036s 0.0085s 3.3 117.1
+#rsa 4096 bits 2.0040s 0.0299s 0.5 33.4
+#dsa 512 bits 0.0087s 0.0106s 114.3 94.5
+#dsa 1024 bits 0.0256s 0.0313s 39.0 32.0
+#
+# Same bechmark with this assembler code:
+#
+#rsa 512 bits 0.0056s 0.0005s 178.6 2049.2
+#rsa 1024 bits 0.0283s 0.0015s 35.3 674.1
+#rsa 2048 bits 0.1744s 0.0050s 5.7 201.2
+#rsa 4096 bits 1.1644s 0.0179s 0.9 55.7
+#dsa 512 bits 0.0052s 0.0062s 191.6 162.0
+#dsa 1024 bits 0.0149s 0.0180s 67.0 55.5
+#
+# Number of operations increases by at almost 75%
+#
+# Here are performance numbers for 64-bit compiler
+# generated code:
+#
+# OpenSSL 0.9.6g [engine] 9 Aug 2002
+# built on: Fri Apr 18 16:59:20 EDT 2003
+# options:bn(64,64) ...
+# compiler: cc -DTHREADS -D_REENTRANT -q64 -DB_ENDIAN -O3
+# sign verify sign/s verify/s
+#rsa 512 bits 0.0028s 0.0003s 357.1 3844.4
+#rsa 1024 bits 0.0148s 0.0008s 67.5 1239.7
+#rsa 2048 bits 0.0963s 0.0028s 10.4 353.0
+#rsa 4096 bits 0.6538s 0.0102s 1.5 98.1
+#dsa 512 bits 0.0026s 0.0032s 382.5 313.7
+#dsa 1024 bits 0.0081s 0.0099s 122.8 100.6
+#
+# Same benchmark with this assembler code:
+#
+#rsa 512 bits 0.0020s 0.0002s 510.4 6273.7
+#rsa 1024 bits 0.0088s 0.0005s 114.1 2128.3
+#rsa 2048 bits 0.0540s 0.0016s 18.5 622.5
+#rsa 4096 bits 0.3700s 0.0058s 2.7 171.0
+#dsa 512 bits 0.0016s 0.0020s 610.7 507.1
+#dsa 1024 bits 0.0047s 0.0058s 212.5 173.2
+#
+# Again, performance increases by at about 75%
+#
+# Mac OS X, Apple G5 1.8GHz (Note this is 32 bit code)
+# OpenSSL 0.9.7c 30 Sep 2003
+#
+# Original code.
+#
+#rsa 512 bits 0.0011s 0.0001s 906.1 11012.5
+#rsa 1024 bits 0.0060s 0.0003s 166.6 3363.1
+#rsa 2048 bits 0.0370s 0.0010s 27.1 982.4
+#rsa 4096 bits 0.2426s 0.0036s 4.1 280.4
+#dsa 512 bits 0.0010s 0.0012s 1038.1 841.5
+#dsa 1024 bits 0.0030s 0.0037s 329.6 269.7
+#dsa 2048 bits 0.0101s 0.0127s 98.9 78.6
+#
+# Same benchmark with this assembler code:
+#
+#rsa 512 bits 0.0007s 0.0001s 1416.2 16645.9
+#rsa 1024 bits 0.0036s 0.0002s 274.4 5380.6
+#rsa 2048 bits 0.0222s 0.0006s 45.1 1589.5
+#rsa 4096 bits 0.1469s 0.0022s 6.8 449.6
+#dsa 512 bits 0.0006s 0.0007s 1664.2 1376.2
+#dsa 1024 bits 0.0018s 0.0023s 545.0 442.2
+#dsa 2048 bits 0.0061s 0.0075s 163.5 132.8
+#
+# Performance increase of ~60%
+#
+# If you have comments or suggestions to improve code send
+# me a note at schari@us.ibm.com
+#
+
+$flavour = shift;
+
+if ($flavour =~ /32/) {
+ $BITS= 32;
+ $BNSZ= $BITS/8;
+ $ISA= "\"ppc\"";
+
+ $LD= "lwz"; # load
+ $LDU= "lwzu"; # load and update
+ $ST= "stw"; # store
+ $STU= "stwu"; # store and update
+ $UMULL= "mullw"; # unsigned multiply low
+ $UMULH= "mulhwu"; # unsigned multiply high
+ $UDIV= "divwu"; # unsigned divide
+ $UCMPI= "cmplwi"; # unsigned compare with immediate
+ $UCMP= "cmplw"; # unsigned compare
+ $CNTLZ= "cntlzw"; # count leading zeros
+ $SHL= "slw"; # shift left
+ $SHR= "srw"; # unsigned shift right
+ $SHRI= "srwi"; # unsigned shift right by immediate
+ $SHLI= "slwi"; # shift left by immediate
+ $CLRU= "clrlwi"; # clear upper bits
+ $INSR= "insrwi"; # insert right
+ $ROTL= "rotlwi"; # rotate left by immediate
+ $TR= "tw"; # conditional trap
+} elsif ($flavour =~ /64/) {
+ $BITS= 64;
+ $BNSZ= $BITS/8;
+ $ISA= "\"ppc64\"";
+
+ # same as above, but 64-bit mnemonics...
+ $LD= "ld"; # load
+ $LDU= "ldu"; # load and update
+ $ST= "std"; # store
+ $STU= "stdu"; # store and update
+ $UMULL= "mulld"; # unsigned multiply low
+ $UMULH= "mulhdu"; # unsigned multiply high
+ $UDIV= "divdu"; # unsigned divide
+ $UCMPI= "cmpldi"; # unsigned compare with immediate
+ $UCMP= "cmpld"; # unsigned compare
+ $CNTLZ= "cntlzd"; # count leading zeros
+ $SHL= "sld"; # shift left
+ $SHR= "srd"; # unsigned shift right
+ $SHRI= "srdi"; # unsigned shift right by immediate
+ $SHLI= "sldi"; # shift left by immediate
+ $CLRU= "clrldi"; # clear upper bits
+ $INSR= "insrdi"; # insert right
+ $ROTL= "rotldi"; # rotate left by immediate
+ $TR= "td"; # conditional trap
+} else { die "nonsense $flavour"; }
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
+die "can't locate ppc-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!";
+
+$data=<<EOF;
+#--------------------------------------------------------------------
+#
+#
+#
+#
+# File: ppc32.s
+#
+# Created by: Suresh Chari
+# IBM Thomas J. Watson Research Library
+# Hawthorne, NY
+#
+#
+# Description: Optimized assembly routines for OpenSSL crypto
+# on the 32 bitPowerPC platform.
+#
+#
+# Version History
+#
+# 2. Fixed bn_add,bn_sub and bn_div_words, added comments,
+# cleaned up code. Also made a single version which can
+# be used for both the AIX and Linux compilers. See NOTE
+# below.
+# 12/05/03 Suresh Chari
+# (with lots of help from) Andy Polyakov
+##
+# 1. Initial version 10/20/02 Suresh Chari
+#
+#
+# The following file works for the xlc,cc
+# and gcc compilers.
+#
+# NOTE: To get the file to link correctly with the gcc compiler
+# you have to change the names of the routines and remove
+# the first .(dot) character. This should automatically
+# be done in the build process.
+#
+# Hand optimized assembly code for the following routines
+#
+# bn_sqr_comba4
+# bn_sqr_comba8
+# bn_mul_comba4
+# bn_mul_comba8
+# bn_sub_words
+# bn_add_words
+# bn_div_words
+# bn_sqr_words
+# bn_mul_words
+# bn_mul_add_words
+#
+# NOTE: It is possible to optimize this code more for
+# specific PowerPC or Power architectures. On the Northstar
+# architecture the optimizations in this file do
+# NOT provide much improvement.
+#
+# If you have comments or suggestions to improve code send
+# me a note at schari\@us.ibm.com
+#
+#--------------------------------------------------------------------------
+#
+# Defines to be used in the assembly code.
+#
+#.set r0,0 # we use it as storage for value of 0
+#.set SP,1 # preserved
+#.set RTOC,2 # preserved
+#.set r3,3 # 1st argument/return value
+#.set r4,4 # 2nd argument/volatile register
+#.set r5,5 # 3rd argument/volatile register
+#.set r6,6 # ...
+#.set r7,7
+#.set r8,8
+#.set r9,9
+#.set r10,10
+#.set r11,11
+#.set r12,12
+#.set r13,13 # not used, nor any other "below" it...
+
+# Declare function names to be global
+# NOTE: For gcc these names MUST be changed to remove
+# the first . i.e. for example change ".bn_sqr_comba4"
+# to "bn_sqr_comba4". This should be automatically done
+# in the build.
+
+ .globl .bn_sqr_comba4
+ .globl .bn_sqr_comba8
+ .globl .bn_mul_comba4
+ .globl .bn_mul_comba8
+ .globl .bn_sub_words
+ .globl .bn_add_words
+ .globl .bn_div_words
+ .globl .bn_sqr_words
+ .globl .bn_mul_words
+ .globl .bn_mul_add_words
+
+# .text section
+
+ .machine "any"
+
+#
+# NOTE: The following label name should be changed to
+# "bn_sqr_comba4" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_sqr_comba4:
+#
+# Optimized version of bn_sqr_comba4.
+#
+# void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
+# r3 contains r
+# r4 contains a
+#
+# Freely use registers r5,r6,r7,r8,r9,r10,r11 as follows:
+#
+# r5,r6 are the two BN_ULONGs being multiplied.
+# r7,r8 are the results of the 32x32 giving 64 bit multiply.
+# r9,r10, r11 are the equivalents of c1,c2, c3.
+# Here's the assembly
+#
+#
+ xor r0,r0,r0 # set r0 = 0. Used in the addze
+ # instructions below
+
+ #sqr_add_c(a,0,c1,c2,c3)
+ $LD r5,`0*$BNSZ`(r4)
+ $UMULL r9,r5,r5
+ $UMULH r10,r5,r5 #in first iteration. No need
+ #to add since c1=c2=c3=0.
+ # Note c3(r11) is NOT set to 0
+ # but will be.
+
+ $ST r9,`0*$BNSZ`(r3) # r[0]=c1;
+ # sqr_add_c2(a,1,0,c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r7,r7,r7 # compute (r7,r8)=2*(r7,r8)
+ adde r8,r8,r8
+ addze r9,r0 # catch carry if any.
+ # r9= r0(=0) and carry
+
+ addc r10,r7,r10 # now add to temp result.
+ addze r11,r8 # r8 added to r11 which is 0
+ addze r9,r9
+
+ $ST r10,`1*$BNSZ`(r3) #r[1]=c2;
+ #sqr_add_c(a,1,c3,c1,c2)
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r0
+ #sqr_add_c2(a,2,0,c3,c1,c2)
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r7,r7,r7
+ adde r8,r8,r8
+ addze r10,r10
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ $ST r11,`2*$BNSZ`(r3) #r[2]=c3
+ #sqr_add_c2(a,3,0,c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r7,r7,r7
+ adde r8,r8,r8
+ addze r11,r0
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,2,1,c1,c2,c3);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r7,r7,r7
+ adde r8,r8,r8
+ addze r11,r11
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ $ST r9,`3*$BNSZ`(r3) #r[3]=c1
+ #sqr_add_c(a,2,c2,c3,c1);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r0
+ #sqr_add_c2(a,3,1,c2,c3,c1);
+ $LD r6,`3*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r7,r7,r7
+ adde r8,r8,r8
+ addze r9,r9
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ $ST r10,`4*$BNSZ`(r3) #r[4]=c2
+ #sqr_add_c2(a,3,2,c3,c1,c2);
+ $LD r5,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r7,r7,r7
+ adde r8,r8,r8
+ addze r10,r0
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ $ST r11,`5*$BNSZ`(r3) #r[5] = c3
+ #sqr_add_c(a,3,c1,c2,c3);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+
+ $ST r9,`6*$BNSZ`(r3) #r[6]=c1
+ $ST r10,`7*$BNSZ`(r3) #r[7]=c2
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_sqr_comba8" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_sqr_comba8:
+#
+# This is an optimized version of the bn_sqr_comba8 routine.
+# Tightly uses the adde instruction
+#
+#
+# void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
+# r3 contains r
+# r4 contains a
+#
+# Freely use registers r5,r6,r7,r8,r9,r10,r11 as follows:
+#
+# r5,r6 are the two BN_ULONGs being multiplied.
+# r7,r8 are the results of the 32x32 giving 64 bit multiply.
+# r9,r10, r11 are the equivalents of c1,c2, c3.
+#
+# Possible optimization of loading all 8 longs of a into registers
+# doesnt provide any speedup
+#
+
+ xor r0,r0,r0 #set r0 = 0.Used in addze
+ #instructions below.
+
+ #sqr_add_c(a,0,c1,c2,c3);
+ $LD r5,`0*$BNSZ`(r4)
+ $UMULL r9,r5,r5 #1st iteration: no carries.
+ $UMULH r10,r5,r5
+ $ST r9,`0*$BNSZ`(r3) # r[0]=c1;
+ #sqr_add_c2(a,1,0,c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10 #add the two register number
+ adde r11,r8,r0 # (r8,r7) to the three register
+ addze r9,r0 # number (r9,r11,r10).NOTE:r0=0
+
+ addc r10,r7,r10 #add the two register number
+ adde r11,r8,r11 # (r8,r7) to the three register
+ addze r9,r9 # number (r9,r11,r10).
+
+ $ST r10,`1*$BNSZ`(r3) # r[1]=c2
+
+ #sqr_add_c(a,1,c3,c1,c2);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r0
+ #sqr_add_c2(a,2,0,c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+
+ $ST r11,`2*$BNSZ`(r3) #r[2]=c3
+ #sqr_add_c2(a,3,0,c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4) #r6 = a[3]. r5 is already a[0].
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r0
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,2,1,c1,c2,c3);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+
+ $ST r9,`3*$BNSZ`(r3) #r[3]=c1;
+ #sqr_add_c(a,2,c2,c3,c1);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r0
+ #sqr_add_c2(a,3,1,c2,c3,c1);
+ $LD r6,`3*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ #sqr_add_c2(a,4,0,c2,c3,c1);
+ $LD r5,`0*$BNSZ`(r4)
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ $ST r10,`4*$BNSZ`(r3) #r[4]=c2;
+ #sqr_add_c2(a,5,0,c3,c1,c2);
+ $LD r6,`5*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r0
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ #sqr_add_c2(a,4,1,c3,c1,c2);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ #sqr_add_c2(a,3,2,c3,c1,c2);
+ $LD r5,`2*$BNSZ`(r4)
+ $LD r6,`3*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ $ST r11,`5*$BNSZ`(r3) #r[5]=c3;
+ #sqr_add_c(a,3,c1,c2,c3);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r0
+ #sqr_add_c2(a,4,2,c1,c2,c3);
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,5,1,c1,c2,c3);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`5*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,6,0,c1,c2,c3);
+ $LD r5,`0*$BNSZ`(r4)
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ $ST r9,`6*$BNSZ`(r3) #r[6]=c1;
+ #sqr_add_c2(a,7,0,c2,c3,c1);
+ $LD r6,`7*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r0
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ #sqr_add_c2(a,6,1,c2,c3,c1);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ #sqr_add_c2(a,5,2,c2,c3,c1);
+ $LD r5,`2*$BNSZ`(r4)
+ $LD r6,`5*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ #sqr_add_c2(a,4,3,c2,c3,c1);
+ $LD r5,`3*$BNSZ`(r4)
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ $ST r10,`7*$BNSZ`(r3) #r[7]=c2;
+ #sqr_add_c(a,4,c3,c1,c2);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r0
+ #sqr_add_c2(a,5,3,c3,c1,c2);
+ $LD r6,`5*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ #sqr_add_c2(a,6,2,c3,c1,c2);
+ $LD r5,`2*$BNSZ`(r4)
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ #sqr_add_c2(a,7,1,c3,c1,c2);
+ $LD r5,`1*$BNSZ`(r4)
+ $LD r6,`7*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ $ST r11,`8*$BNSZ`(r3) #r[8]=c3;
+ #sqr_add_c2(a,7,2,c1,c2,c3);
+ $LD r5,`2*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r0
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,6,3,c1,c2,c3);
+ $LD r5,`3*$BNSZ`(r4)
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ #sqr_add_c2(a,5,4,c1,c2,c3);
+ $LD r5,`4*$BNSZ`(r4)
+ $LD r6,`5*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ $ST r9,`9*$BNSZ`(r3) #r[9]=c1;
+ #sqr_add_c(a,5,c2,c3,c1);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r0
+ #sqr_add_c2(a,6,4,c2,c3,c1);
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ #sqr_add_c2(a,7,3,c2,c3,c1);
+ $LD r5,`3*$BNSZ`(r4)
+ $LD r6,`7*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ $ST r10,`10*$BNSZ`(r3) #r[10]=c2;
+ #sqr_add_c2(a,7,4,c3,c1,c2);
+ $LD r5,`4*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r0
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ #sqr_add_c2(a,6,5,c3,c1,c2);
+ $LD r5,`5*$BNSZ`(r4)
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ addc r11,r7,r11
+ adde r9,r8,r9
+ addze r10,r10
+ $ST r11,`11*$BNSZ`(r3) #r[11]=c3;
+ #sqr_add_c(a,6,c1,c2,c3);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r0
+ #sqr_add_c2(a,7,5,c1,c2,c3)
+ $LD r6,`7*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ addc r9,r7,r9
+ adde r10,r8,r10
+ addze r11,r11
+ $ST r9,`12*$BNSZ`(r3) #r[12]=c1;
+
+ #sqr_add_c2(a,7,6,c2,c3,c1)
+ $LD r5,`6*$BNSZ`(r4)
+ $UMULL r7,r5,r6
+ $UMULH r8,r5,r6
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r0
+ addc r10,r7,r10
+ adde r11,r8,r11
+ addze r9,r9
+ $ST r10,`13*$BNSZ`(r3) #r[13]=c2;
+ #sqr_add_c(a,7,c3,c1,c2);
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ addc r11,r7,r11
+ adde r9,r8,r9
+ $ST r11,`14*$BNSZ`(r3) #r[14]=c3;
+ $ST r9, `15*$BNSZ`(r3) #r[15]=c1;
+
+
+ blr
+
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_mul_comba4" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_mul_comba4:
+#
+# This is an optimized version of the bn_mul_comba4 routine.
+#
+# void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+# r3 contains r
+# r4 contains a
+# r5 contains b
+# r6, r7 are the 2 BN_ULONGs being multiplied.
+# r8, r9 are the results of the 32x32 giving 64 multiply.
+# r10, r11, r12 are the equivalents of c1, c2, and c3.
+#
+ xor r0,r0,r0 #r0=0. Used in addze below.
+ #mul_add_c(a[0],b[0],c1,c2,c3);
+ $LD r6,`0*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r10,r6,r7
+ $UMULH r11,r6,r7
+ $ST r10,`0*$BNSZ`(r3) #r[0]=c1
+ #mul_add_c(a[0],b[1],c2,c3,c1);
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r8,r11
+ adde r12,r9,r0
+ addze r10,r0
+ #mul_add_c(a[1],b[0],c2,c3,c1);
+ $LD r6, `1*$BNSZ`(r4)
+ $LD r7, `0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r8,r11
+ adde r12,r9,r12
+ addze r10,r10
+ $ST r11,`1*$BNSZ`(r3) #r[1]=c2
+ #mul_add_c(a[2],b[0],c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r8,r12
+ adde r10,r9,r10
+ addze r11,r0
+ #mul_add_c(a[1],b[1],c3,c1,c2);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r8,r12
+ adde r10,r9,r10
+ addze r11,r11
+ #mul_add_c(a[0],b[2],c3,c1,c2);
+ $LD r6,`0*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r8,r12
+ adde r10,r9,r10
+ addze r11,r11
+ $ST r12,`2*$BNSZ`(r3) #r[2]=c3
+ #mul_add_c(a[0],b[3],c1,c2,c3);
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r8,r10
+ adde r11,r9,r11
+ addze r12,r0
+ #mul_add_c(a[1],b[2],c1,c2,c3);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r8,r10
+ adde r11,r9,r11
+ addze r12,r12
+ #mul_add_c(a[2],b[1],c1,c2,c3);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r8,r10
+ adde r11,r9,r11
+ addze r12,r12
+ #mul_add_c(a[3],b[0],c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r8,r10
+ adde r11,r9,r11
+ addze r12,r12
+ $ST r10,`3*$BNSZ`(r3) #r[3]=c1
+ #mul_add_c(a[3],b[1],c2,c3,c1);
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r8,r11
+ adde r12,r9,r12
+ addze r10,r0
+ #mul_add_c(a[2],b[2],c2,c3,c1);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r8,r11
+ adde r12,r9,r12
+ addze r10,r10
+ #mul_add_c(a[1],b[3],c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r8,r11
+ adde r12,r9,r12
+ addze r10,r10
+ $ST r11,`4*$BNSZ`(r3) #r[4]=c2
+ #mul_add_c(a[2],b[3],c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r8,r12
+ adde r10,r9,r10
+ addze r11,r0
+ #mul_add_c(a[3],b[2],c3,c1,c2);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r8,r12
+ adde r10,r9,r10
+ addze r11,r11
+ $ST r12,`5*$BNSZ`(r3) #r[5]=c3
+ #mul_add_c(a[3],b[3],c1,c2,c3);
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r8,r10
+ adde r11,r9,r11
+
+ $ST r10,`6*$BNSZ`(r3) #r[6]=c1
+ $ST r11,`7*$BNSZ`(r3) #r[7]=c2
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_mul_comba8" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_mul_comba8:
+#
+# Optimized version of the bn_mul_comba8 routine.
+#
+# void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+# r3 contains r
+# r4 contains a
+# r5 contains b
+# r6, r7 are the 2 BN_ULONGs being multiplied.
+# r8, r9 are the results of the 32x32 giving 64 multiply.
+# r10, r11, r12 are the equivalents of c1, c2, and c3.
+#
+ xor r0,r0,r0 #r0=0. Used in addze below.
+
+ #mul_add_c(a[0],b[0],c1,c2,c3);
+ $LD r6,`0*$BNSZ`(r4) #a[0]
+ $LD r7,`0*$BNSZ`(r5) #b[0]
+ $UMULL r10,r6,r7
+ $UMULH r11,r6,r7
+ $ST r10,`0*$BNSZ`(r3) #r[0]=c1;
+ #mul_add_c(a[0],b[1],c2,c3,c1);
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ addze r12,r9 # since we didnt set r12 to zero before.
+ addze r10,r0
+ #mul_add_c(a[1],b[0],c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ $ST r11,`1*$BNSZ`(r3) #r[1]=c2;
+ #mul_add_c(a[2],b[0],c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r0
+ #mul_add_c(a[1],b[1],c3,c1,c2);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[0],b[2],c3,c1,c2);
+ $LD r6,`0*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ $ST r12,`2*$BNSZ`(r3) #r[2]=c3;
+ #mul_add_c(a[0],b[3],c1,c2,c3);
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r0
+ #mul_add_c(a[1],b[2],c1,c2,c3);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+
+ #mul_add_c(a[2],b[1],c1,c2,c3);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[3],b[0],c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ $ST r10,`3*$BNSZ`(r3) #r[3]=c1;
+ #mul_add_c(a[4],b[0],c2,c3,c1);
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r0
+ #mul_add_c(a[3],b[1],c2,c3,c1);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[2],b[2],c2,c3,c1);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[1],b[3],c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[0],b[4],c2,c3,c1);
+ $LD r6,`0*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ $ST r11,`4*$BNSZ`(r3) #r[4]=c2;
+ #mul_add_c(a[0],b[5],c3,c1,c2);
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r0
+ #mul_add_c(a[1],b[4],c3,c1,c2);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[2],b[3],c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[3],b[2],c3,c1,c2);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[4],b[1],c3,c1,c2);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[5],b[0],c3,c1,c2);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ $ST r12,`5*$BNSZ`(r3) #r[5]=c3;
+ #mul_add_c(a[6],b[0],c1,c2,c3);
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r0
+ #mul_add_c(a[5],b[1],c1,c2,c3);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[4],b[2],c1,c2,c3);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[3],b[3],c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[2],b[4],c1,c2,c3);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[1],b[5],c1,c2,c3);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[0],b[6],c1,c2,c3);
+ $LD r6,`0*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ $ST r10,`6*$BNSZ`(r3) #r[6]=c1;
+ #mul_add_c(a[0],b[7],c2,c3,c1);
+ $LD r7,`7*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r0
+ #mul_add_c(a[1],b[6],c2,c3,c1);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[2],b[5],c2,c3,c1);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[3],b[4],c2,c3,c1);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[4],b[3],c2,c3,c1);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[5],b[2],c2,c3,c1);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[6],b[1],c2,c3,c1);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[7],b[0],c2,c3,c1);
+ $LD r6,`7*$BNSZ`(r4)
+ $LD r7,`0*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ $ST r11,`7*$BNSZ`(r3) #r[7]=c2;
+ #mul_add_c(a[7],b[1],c3,c1,c2);
+ $LD r7,`1*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r0
+ #mul_add_c(a[6],b[2],c3,c1,c2);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[5],b[3],c3,c1,c2);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[4],b[4],c3,c1,c2);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[3],b[5],c3,c1,c2);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[2],b[6],c3,c1,c2);
+ $LD r6,`2*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[1],b[7],c3,c1,c2);
+ $LD r6,`1*$BNSZ`(r4)
+ $LD r7,`7*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ $ST r12,`8*$BNSZ`(r3) #r[8]=c3;
+ #mul_add_c(a[2],b[7],c1,c2,c3);
+ $LD r6,`2*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r0
+ #mul_add_c(a[3],b[6],c1,c2,c3);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[4],b[5],c1,c2,c3);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[5],b[4],c1,c2,c3);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[6],b[3],c1,c2,c3);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[7],b[2],c1,c2,c3);
+ $LD r6,`7*$BNSZ`(r4)
+ $LD r7,`2*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ $ST r10,`9*$BNSZ`(r3) #r[9]=c1;
+ #mul_add_c(a[7],b[3],c2,c3,c1);
+ $LD r7,`3*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r0
+ #mul_add_c(a[6],b[4],c2,c3,c1);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[5],b[5],c2,c3,c1);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[4],b[6],c2,c3,c1);
+ $LD r6,`4*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ #mul_add_c(a[3],b[7],c2,c3,c1);
+ $LD r6,`3*$BNSZ`(r4)
+ $LD r7,`7*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ $ST r11,`10*$BNSZ`(r3) #r[10]=c2;
+ #mul_add_c(a[4],b[7],c3,c1,c2);
+ $LD r6,`4*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r0
+ #mul_add_c(a[5],b[6],c3,c1,c2);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[6],b[5],c3,c1,c2);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ #mul_add_c(a[7],b[4],c3,c1,c2);
+ $LD r6,`7*$BNSZ`(r4)
+ $LD r7,`4*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ addze r11,r11
+ $ST r12,`11*$BNSZ`(r3) #r[11]=c3;
+ #mul_add_c(a[7],b[5],c1,c2,c3);
+ $LD r7,`5*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r0
+ #mul_add_c(a[6],b[6],c1,c2,c3);
+ $LD r6,`6*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ #mul_add_c(a[5],b[7],c1,c2,c3);
+ $LD r6,`5*$BNSZ`(r4)
+ $LD r7,`7*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r10,r10,r8
+ adde r11,r11,r9
+ addze r12,r12
+ $ST r10,`12*$BNSZ`(r3) #r[12]=c1;
+ #mul_add_c(a[6],b[7],c2,c3,c1);
+ $LD r6,`6*$BNSZ`(r4)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r0
+ #mul_add_c(a[7],b[6],c2,c3,c1);
+ $LD r6,`7*$BNSZ`(r4)
+ $LD r7,`6*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r11,r11,r8
+ adde r12,r12,r9
+ addze r10,r10
+ $ST r11,`13*$BNSZ`(r3) #r[13]=c2;
+ #mul_add_c(a[7],b[7],c3,c1,c2);
+ $LD r7,`7*$BNSZ`(r5)
+ $UMULL r8,r6,r7
+ $UMULH r9,r6,r7
+ addc r12,r12,r8
+ adde r10,r10,r9
+ $ST r12,`14*$BNSZ`(r3) #r[14]=c3;
+ $ST r10,`15*$BNSZ`(r3) #r[15]=c1;
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_sub_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+#
+.align 4
+.bn_sub_words:
+#
+# Handcoded version of bn_sub_words
+#
+#BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+#
+# r3 = r
+# r4 = a
+# r5 = b
+# r6 = n
+#
+# Note: No loop unrolling done since this is not a performance
+# critical loop.
+
+ xor r0,r0,r0 #set r0 = 0
+#
+# check for r6 = 0 AND set carry bit.
+#
+ subfc. r7,r0,r6 # If r6 is 0 then result is 0.
+ # if r6 > 0 then result !=0
+ # In either case carry bit is set.
+ beq Lppcasm_sub_adios
+ addi r4,r4,-$BNSZ
+ addi r3,r3,-$BNSZ
+ addi r5,r5,-$BNSZ
+ mtctr r6
+Lppcasm_sub_mainloop:
+ $LDU r7,$BNSZ(r4)
+ $LDU r8,$BNSZ(r5)
+ subfe r6,r8,r7 # r6 = r7+carry bit + onescomplement(r8)
+ # if carry = 1 this is r7-r8. Else it
+ # is r7-r8 -1 as we need.
+ $STU r6,$BNSZ(r3)
+ bdnz- Lppcasm_sub_mainloop
+Lppcasm_sub_adios:
+ subfze r3,r0 # if carry bit is set then r3 = 0 else -1
+ andi. r3,r3,1 # keep only last bit.
+ blr
+ .long 0x00000000
+
+
+#
+# NOTE: The following label name should be changed to
+# "bn_add_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_add_words:
+#
+# Handcoded version of bn_add_words
+#
+#BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+#
+# r3 = r
+# r4 = a
+# r5 = b
+# r6 = n
+#
+# Note: No loop unrolling done since this is not a performance
+# critical loop.
+
+ xor r0,r0,r0
+#
+# check for r6 = 0. Is this needed?
+#
+ addic. r6,r6,0 #test r6 and clear carry bit.
+ beq Lppcasm_add_adios
+ addi r4,r4,-$BNSZ
+ addi r3,r3,-$BNSZ
+ addi r5,r5,-$BNSZ
+ mtctr r6
+Lppcasm_add_mainloop:
+ $LDU r7,$BNSZ(r4)
+ $LDU r8,$BNSZ(r5)
+ adde r8,r7,r8
+ $STU r8,$BNSZ(r3)
+ bdnz- Lppcasm_add_mainloop
+Lppcasm_add_adios:
+ addze r3,r0 #return carry bit.
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_div_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_div_words:
+#
+# This is a cleaned up version of code generated by
+# the AIX compiler. The only optimization is to use
+# the PPC instruction to count leading zeros instead
+# of call to num_bits_word. Since this was compiled
+# only at level -O2 we can possibly squeeze it more?
+#
+# r3 = h
+# r4 = l
+# r5 = d
+
+ $UCMPI 0,r5,0 # compare r5 and 0
+ bne Lppcasm_div1 # proceed if d!=0
+ li r3,-1 # d=0 return -1
+ blr
+Lppcasm_div1:
+ xor r0,r0,r0 #r0=0
+ li r8,$BITS
+ $CNTLZ. r7,r5 #r7 = num leading 0s in d.
+ beq Lppcasm_div2 #proceed if no leading zeros
+ subf r8,r7,r8 #r8 = BN_num_bits_word(d)
+ $SHR. r9,r3,r8 #are there any bits above r8'th?
+ $TR 16,r9,r0 #if there're, signal to dump core...
+Lppcasm_div2:
+ $UCMP 0,r3,r5 #h>=d?
+ blt Lppcasm_div3 #goto Lppcasm_div3 if not
+ subf r3,r5,r3 #h-=d ;
+Lppcasm_div3: #r7 = BN_BITS2-i. so r7=i
+ cmpi 0,0,r7,0 # is (i == 0)?
+ beq Lppcasm_div4
+ $SHL r3,r3,r7 # h = (h<< i)
+ $SHR r8,r4,r8 # r8 = (l >> BN_BITS2 -i)
+ $SHL r5,r5,r7 # d<<=i
+ or r3,r3,r8 # h = (h<<i)|(l>>(BN_BITS2-i))
+ $SHL r4,r4,r7 # l <<=i
+Lppcasm_div4:
+ $SHRI r9,r5,`$BITS/2` # r9 = dh
+ # dl will be computed when needed
+ # as it saves registers.
+ li r6,2 #r6=2
+ mtctr r6 #counter will be in count.
+Lppcasm_divouterloop:
+ $SHRI r8,r3,`$BITS/2` #r8 = (h>>BN_BITS4)
+ $SHRI r11,r4,`$BITS/2` #r11= (l&BN_MASK2h)>>BN_BITS4
+ # compute here for innerloop.
+ $UCMP 0,r8,r9 # is (h>>BN_BITS4)==dh
+ bne Lppcasm_div5 # goto Lppcasm_div5 if not
+
+ li r8,-1
+ $CLRU r8,r8,`$BITS/2` #q = BN_MASK2l
+ b Lppcasm_div6
+Lppcasm_div5:
+ $UDIV r8,r3,r9 #q = h/dh
+Lppcasm_div6:
+ $UMULL r12,r9,r8 #th = q*dh
+ $CLRU r10,r5,`$BITS/2` #r10=dl
+ $UMULL r6,r8,r10 #tl = q*dl
+
+Lppcasm_divinnerloop:
+ subf r10,r12,r3 #t = h -th
+ $SHRI r7,r10,`$BITS/2` #r7= (t &BN_MASK2H), sort of...
+ addic. r7,r7,0 #test if r7 == 0. used below.
+ # now want to compute
+ # r7 = (t<<BN_BITS4)|((l&BN_MASK2h)>>BN_BITS4)
+ # the following 2 instructions do that
+ $SHLI r7,r10,`$BITS/2` # r7 = (t<<BN_BITS4)
+ or r7,r7,r11 # r7|=((l&BN_MASK2h)>>BN_BITS4)
+ $UCMP cr1,r6,r7 # compare (tl <= r7)
+ bne Lppcasm_divinnerexit
+ ble cr1,Lppcasm_divinnerexit
+ addi r8,r8,-1 #q--
+ subf r12,r9,r12 #th -=dh
+ $CLRU r10,r5,`$BITS/2` #r10=dl. t is no longer needed in loop.
+ subf r6,r10,r6 #tl -=dl
+ b Lppcasm_divinnerloop
+Lppcasm_divinnerexit:
+ $SHRI r10,r6,`$BITS/2` #t=(tl>>BN_BITS4)
+ $SHLI r11,r6,`$BITS/2` #tl=(tl<<BN_BITS4)&BN_MASK2h;
+ $UCMP cr1,r4,r11 # compare l and tl
+ add r12,r12,r10 # th+=t
+ bge cr1,Lppcasm_div7 # if (l>=tl) goto Lppcasm_div7
+ addi r12,r12,1 # th++
+Lppcasm_div7:
+ subf r11,r11,r4 #r11=l-tl
+ $UCMP cr1,r3,r12 #compare h and th
+ bge cr1,Lppcasm_div8 #if (h>=th) goto Lppcasm_div8
+ addi r8,r8,-1 # q--
+ add r3,r5,r3 # h+=d
+Lppcasm_div8:
+ subf r12,r12,r3 #r12 = h-th
+ $SHLI r4,r11,`$BITS/2` #l=(l&BN_MASK2l)<<BN_BITS4
+ # want to compute
+ # h = ((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2
+ # the following 2 instructions will do this.
+ $INSR r11,r12,`$BITS/2`,`$BITS/2` # r11 is the value we want rotated $BITS/2.
+ $ROTL r3,r11,`$BITS/2` # rotate by $BITS/2 and store in r3
+ bdz Lppcasm_div9 #if (count==0) break ;
+ $SHLI r0,r8,`$BITS/2` #ret =q<<BN_BITS4
+ b Lppcasm_divouterloop
+Lppcasm_div9:
+ or r3,r8,r0
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_sqr_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+.align 4
+.bn_sqr_words:
+#
+# Optimized version of bn_sqr_words
+#
+# void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
+#
+# r3 = r
+# r4 = a
+# r5 = n
+#
+# r6 = a[i].
+# r7,r8 = product.
+#
+# No unrolling done here. Not performance critical.
+
+ addic. r5,r5,0 #test r5.
+ beq Lppcasm_sqr_adios
+ addi r4,r4,-$BNSZ
+ addi r3,r3,-$BNSZ
+ mtctr r5
+Lppcasm_sqr_mainloop:
+ #sqr(r[0],r[1],a[0]);
+ $LDU r6,$BNSZ(r4)
+ $UMULL r7,r6,r6
+ $UMULH r8,r6,r6
+ $STU r7,$BNSZ(r3)
+ $STU r8,$BNSZ(r3)
+ bdnz- Lppcasm_sqr_mainloop
+Lppcasm_sqr_adios:
+ blr
+ .long 0x00000000
+
+
+#
+# NOTE: The following label name should be changed to
+# "bn_mul_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_mul_words:
+#
+# BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+#
+# r3 = rp
+# r4 = ap
+# r5 = num
+# r6 = w
+ xor r0,r0,r0
+ xor r12,r12,r12 # used for carry
+ rlwinm. r7,r5,30,2,31 # num >> 2
+ beq Lppcasm_mw_REM
+ mtctr r7
+Lppcasm_mw_LOOP:
+ #mul(rp[0],ap[0],w,c1);
+ $LD r8,`0*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ addc r9,r9,r12
+ #addze r10,r10 #carry is NOT ignored.
+ #will be taken care of
+ #in second spin below
+ #using adde.
+ $ST r9,`0*$BNSZ`(r3)
+ #mul(rp[1],ap[1],w,c1);
+ $LD r8,`1*$BNSZ`(r4)
+ $UMULL r11,r6,r8
+ $UMULH r12,r6,r8
+ adde r11,r11,r10
+ #addze r12,r12
+ $ST r11,`1*$BNSZ`(r3)
+ #mul(rp[2],ap[2],w,c1);
+ $LD r8,`2*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ adde r9,r9,r12
+ #addze r10,r10
+ $ST r9,`2*$BNSZ`(r3)
+ #mul_add(rp[3],ap[3],w,c1);
+ $LD r8,`3*$BNSZ`(r4)
+ $UMULL r11,r6,r8
+ $UMULH r12,r6,r8
+ adde r11,r11,r10
+ addze r12,r12 #this spin we collect carry into
+ #r12
+ $ST r11,`3*$BNSZ`(r3)
+
+ addi r3,r3,`4*$BNSZ`
+ addi r4,r4,`4*$BNSZ`
+ bdnz- Lppcasm_mw_LOOP
+
+Lppcasm_mw_REM:
+ andi. r5,r5,0x3
+ beq Lppcasm_mw_OVER
+ #mul(rp[0],ap[0],w,c1);
+ $LD r8,`0*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ addc r9,r9,r12
+ addze r10,r10
+ $ST r9,`0*$BNSZ`(r3)
+ addi r12,r10,0
+
+ addi r5,r5,-1
+ cmpli 0,0,r5,0
+ beq Lppcasm_mw_OVER
+
+
+ #mul(rp[1],ap[1],w,c1);
+ $LD r8,`1*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ addc r9,r9,r12
+ addze r10,r10
+ $ST r9,`1*$BNSZ`(r3)
+ addi r12,r10,0
+
+ addi r5,r5,-1
+ cmpli 0,0,r5,0
+ beq Lppcasm_mw_OVER
+
+ #mul_add(rp[2],ap[2],w,c1);
+ $LD r8,`2*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ addc r9,r9,r12
+ addze r10,r10
+ $ST r9,`2*$BNSZ`(r3)
+ addi r12,r10,0
+
+Lppcasm_mw_OVER:
+ addi r3,r12,0
+ blr
+ .long 0x00000000
+
+#
+# NOTE: The following label name should be changed to
+# "bn_mul_add_words" i.e. remove the first dot
+# for the gcc compiler. This should be automatically
+# done in the build
+#
+
+.align 4
+.bn_mul_add_words:
+#
+# BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
+#
+# r3 = rp
+# r4 = ap
+# r5 = num
+# r6 = w
+#
+# empirical evidence suggests that unrolled version performs best!!
+#
+ xor r0,r0,r0 #r0 = 0
+ xor r12,r12,r12 #r12 = 0 . used for carry
+ rlwinm. r7,r5,30,2,31 # num >> 2
+ beq Lppcasm_maw_leftover # if (num < 4) go LPPCASM_maw_leftover
+ mtctr r7
+Lppcasm_maw_mainloop:
+ #mul_add(rp[0],ap[0],w,c1);
+ $LD r8,`0*$BNSZ`(r4)
+ $LD r11,`0*$BNSZ`(r3)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ addc r9,r9,r12 #r12 is carry.
+ addze r10,r10
+ addc r9,r9,r11
+ #addze r10,r10
+ #the above instruction addze
+ #is NOT needed. Carry will NOT
+ #be ignored. It's not affected
+ #by multiply and will be collected
+ #in the next spin
+ $ST r9,`0*$BNSZ`(r3)
+
+ #mul_add(rp[1],ap[1],w,c1);
+ $LD r8,`1*$BNSZ`(r4)
+ $LD r9,`1*$BNSZ`(r3)
+ $UMULL r11,r6,r8
+ $UMULH r12,r6,r8
+ adde r11,r11,r10 #r10 is carry.
+ addze r12,r12
+ addc r11,r11,r9
+ #addze r12,r12
+ $ST r11,`1*$BNSZ`(r3)
+
+ #mul_add(rp[2],ap[2],w,c1);
+ $LD r8,`2*$BNSZ`(r4)
+ $UMULL r9,r6,r8
+ $LD r11,`2*$BNSZ`(r3)
+ $UMULH r10,r6,r8
+ adde r9,r9,r12
+ addze r10,r10
+ addc r9,r9,r11
+ #addze r10,r10
+ $ST r9,`2*$BNSZ`(r3)
+
+ #mul_add(rp[3],ap[3],w,c1);
+ $LD r8,`3*$BNSZ`(r4)
+ $UMULL r11,r6,r8
+ $LD r9,`3*$BNSZ`(r3)
+ $UMULH r12,r6,r8
+ adde r11,r11,r10
+ addze r12,r12
+ addc r11,r11,r9
+ addze r12,r12
+ $ST r11,`3*$BNSZ`(r3)
+ addi r3,r3,`4*$BNSZ`
+ addi r4,r4,`4*$BNSZ`
+ bdnz- Lppcasm_maw_mainloop
+
+Lppcasm_maw_leftover:
+ andi. r5,r5,0x3
+ beq Lppcasm_maw_adios
+ addi r3,r3,-$BNSZ
+ addi r4,r4,-$BNSZ
+ #mul_add(rp[0],ap[0],w,c1);
+ mtctr r5
+ $LDU r8,$BNSZ(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ $LDU r11,$BNSZ(r3)
+ addc r9,r9,r11
+ addze r10,r10
+ addc r9,r9,r12
+ addze r12,r10
+ $ST r9,0(r3)
+
+ bdz Lppcasm_maw_adios
+ #mul_add(rp[1],ap[1],w,c1);
+ $LDU r8,$BNSZ(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ $LDU r11,$BNSZ(r3)
+ addc r9,r9,r11
+ addze r10,r10
+ addc r9,r9,r12
+ addze r12,r10
+ $ST r9,0(r3)
+
+ bdz Lppcasm_maw_adios
+ #mul_add(rp[2],ap[2],w,c1);
+ $LDU r8,$BNSZ(r4)
+ $UMULL r9,r6,r8
+ $UMULH r10,r6,r8
+ $LDU r11,$BNSZ(r3)
+ addc r9,r9,r11
+ addze r10,r10
+ addc r9,r9,r12
+ addze r12,r10
+ $ST r9,0(r3)
+
+Lppcasm_maw_adios:
+ addi r3,r12,0
+ blr
+ .long 0x00000000
+ .align 4
+EOF
+$data =~ s/\`([^\`]*)\`/eval $1/gem;
+print $data;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/ppc64-mont.pl b/openssl/crypto/bn/asm/ppc64-mont.pl
new file mode 100644
index 00000000..3449b358
--- /dev/null
+++ b/openssl/crypto/bn/asm/ppc64-mont.pl
@@ -0,0 +1,918 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# December 2007
+
+# The reason for undertaken effort is basically following. Even though
+# Power 6 CPU operates at incredible 4.7GHz clock frequency, its PKI
+# performance was observed to be less than impressive, essentially as
+# fast as 1.8GHz PPC970, or 2.6 times(!) slower than one would hope.
+# Well, it's not surprising that IBM had to make some sacrifices to
+# boost the clock frequency that much, but no overall improvement?
+# Having observed how much difference did switching to FPU make on
+# UltraSPARC, playing same stunt on Power 6 appeared appropriate...
+# Unfortunately the resulting performance improvement is not as
+# impressive, ~30%, and in absolute terms is still very far from what
+# one would expect from 4.7GHz CPU. There is a chance that I'm doing
+# something wrong, but in the lack of assembler level micro-profiling
+# data or at least decent platform guide I can't tell... Or better
+# results might be achieved with VMX... Anyway, this module provides
+# *worse* performance on other PowerPC implementations, ~40-15% slower
+# on PPC970 depending on key length and ~40% slower on Power 5 for all
+# key lengths. As it's obviously inappropriate as "best all-round"
+# alternative, it has to be complemented with run-time CPU family
+# detection. Oh! It should also be noted that unlike other PowerPC
+# implementation IALU ppc-mont.pl module performs *suboptimaly* on
+# >=1024-bit key lengths on Power 6. It should also be noted that
+# *everything* said so far applies to 64-bit builds! As far as 32-bit
+# application executed on 64-bit CPU goes, this module is likely to
+# become preferred choice, because it's easy to adapt it for such
+# case and *is* faster than 32-bit ppc-mont.pl on *all* processors.
+
+# February 2008
+
+# Micro-profiling assisted optimization results in ~15% improvement
+# over original ppc64-mont.pl version, or overall ~50% improvement
+# over ppc.pl module on Power 6. If compared to ppc-mont.pl on same
+# Power 6 CPU, this module is 5-150% faster depending on key length,
+# [hereafter] more for longer keys. But if compared to ppc-mont.pl
+# on 1.8GHz PPC970, it's only 5-55% faster. Still far from impressive
+# in absolute terms, but it's apparently the way Power 6 is...
+
+$flavour = shift;
+
+if ($flavour =~ /32/) {
+ $SIZE_T=4;
+ $RZONE= 224;
+ $FRAME= $SIZE_T*12+8*12;
+ $fname= "bn_mul_mont_ppc64";
+
+ $STUX= "stwux"; # store indexed and update
+ $PUSH= "stw";
+ $POP= "lwz";
+ die "not implemented yet";
+} elsif ($flavour =~ /64/) {
+ $SIZE_T=8;
+ $RZONE= 288;
+ $FRAME= $SIZE_T*12+8*12;
+ $fname= "bn_mul_mont";
+
+ # same as above, but 64-bit mnemonics...
+ $STUX= "stdux"; # store indexed and update
+ $PUSH= "std";
+ $POP= "ld";
+} else { die "nonsense $flavour"; }
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or
+die "can't locate ppc-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!";
+
+$FRAME=($FRAME+63)&~63;
+$TRANSFER=16*8;
+
+$carry="r0";
+$sp="r1";
+$toc="r2";
+$rp="r3"; $ovf="r3";
+$ap="r4";
+$bp="r5";
+$np="r6";
+$n0="r7";
+$num="r8";
+$rp="r9"; # $rp is reassigned
+$tp="r10";
+$j="r11";
+$i="r12";
+# non-volatile registers
+$nap_d="r14"; # interleaved ap and np in double format
+$a0="r15"; # ap[0]
+$t0="r16"; # temporary registers
+$t1="r17";
+$t2="r18";
+$t3="r19";
+$t4="r20";
+$t5="r21";
+$t6="r22";
+$t7="r23";
+
+# PPC offers enough register bank capacity to unroll inner loops twice
+#
+# ..A3A2A1A0
+# dcba
+# -----------
+# A0a
+# A0b
+# A0c
+# A0d
+# A1a
+# A1b
+# A1c
+# A1d
+# A2a
+# A2b
+# A2c
+# A2d
+# A3a
+# A3b
+# A3c
+# A3d
+# ..a
+# ..b
+#
+$ba="f0"; $bb="f1"; $bc="f2"; $bd="f3";
+$na="f4"; $nb="f5"; $nc="f6"; $nd="f7";
+$dota="f8"; $dotb="f9";
+$A0="f10"; $A1="f11"; $A2="f12"; $A3="f13";
+$N0="f14"; $N1="f15"; $N2="f16"; $N3="f17";
+$T0a="f18"; $T0b="f19";
+$T1a="f20"; $T1b="f21";
+$T2a="f22"; $T2b="f23";
+$T3a="f24"; $T3b="f25";
+
+# sp----------->+-------------------------------+
+# | saved sp |
+# +-------------------------------+
+# | |
+# +-------------------------------+
+# | 10 saved gpr, r14-r23 |
+# . .
+# . .
+# +12*size_t +-------------------------------+
+# | 12 saved fpr, f14-f25 |
+# . .
+# . .
+# +12*8 +-------------------------------+
+# | padding to 64 byte boundary |
+# . .
+# +X +-------------------------------+
+# | 16 gpr<->fpr transfer zone |
+# . .
+# . .
+# +16*8 +-------------------------------+
+# | __int64 tmp[-1] |
+# +-------------------------------+
+# | __int64 tmp[num] |
+# . .
+# . .
+# . .
+# +(num+1)*8 +-------------------------------+
+# | padding to 64 byte boundary |
+# . .
+# +X +-------------------------------+
+# | double nap_d[4*num] |
+# . .
+# . .
+# . .
+# +-------------------------------+
+
+$code=<<___;
+.machine "any"
+.text
+
+.globl .$fname
+.align 5
+.$fname:
+ cmpwi $num,4
+ mr $rp,r3 ; $rp is reassigned
+ li r3,0 ; possible "not handled" return code
+ bltlr-
+ andi. r0,$num,1 ; $num has to be even
+ bnelr-
+
+ slwi $num,$num,3 ; num*=8
+ li $i,-4096
+ slwi $tp,$num,2 ; place for {an}p_{lh}[num], i.e. 4*num
+ add $tp,$tp,$num ; place for tp[num+1]
+ addi $tp,$tp,`$FRAME+$TRANSFER+8+64+$RZONE`
+ subf $tp,$tp,$sp ; $sp-$tp
+ and $tp,$tp,$i ; minimize TLB usage
+ subf $tp,$sp,$tp ; $tp-$sp
+ $STUX $sp,$sp,$tp ; alloca
+
+ $PUSH r14,`2*$SIZE_T`($sp)
+ $PUSH r15,`3*$SIZE_T`($sp)
+ $PUSH r16,`4*$SIZE_T`($sp)
+ $PUSH r17,`5*$SIZE_T`($sp)
+ $PUSH r18,`6*$SIZE_T`($sp)
+ $PUSH r19,`7*$SIZE_T`($sp)
+ $PUSH r20,`8*$SIZE_T`($sp)
+ $PUSH r21,`9*$SIZE_T`($sp)
+ $PUSH r22,`10*$SIZE_T`($sp)
+ $PUSH r23,`11*$SIZE_T`($sp)
+ stfd f14,`12*$SIZE_T+0`($sp)
+ stfd f15,`12*$SIZE_T+8`($sp)
+ stfd f16,`12*$SIZE_T+16`($sp)
+ stfd f17,`12*$SIZE_T+24`($sp)
+ stfd f18,`12*$SIZE_T+32`($sp)
+ stfd f19,`12*$SIZE_T+40`($sp)
+ stfd f20,`12*$SIZE_T+48`($sp)
+ stfd f21,`12*$SIZE_T+56`($sp)
+ stfd f22,`12*$SIZE_T+64`($sp)
+ stfd f23,`12*$SIZE_T+72`($sp)
+ stfd f24,`12*$SIZE_T+80`($sp)
+ stfd f25,`12*$SIZE_T+88`($sp)
+
+ ld $a0,0($ap) ; pull ap[0] value
+ ld $n0,0($n0) ; pull n0[0] value
+ ld $t3,0($bp) ; bp[0]
+
+ addi $tp,$sp,`$FRAME+$TRANSFER+8+64`
+ li $i,-64
+ add $nap_d,$tp,$num
+ and $nap_d,$nap_d,$i ; align to 64 bytes
+
+ mulld $t7,$a0,$t3 ; ap[0]*bp[0]
+ ; nap_d is off by 1, because it's used with stfdu/lfdu
+ addi $nap_d,$nap_d,-8
+ srwi $j,$num,`3+1` ; counter register, num/2
+ mulld $t7,$t7,$n0 ; tp[0]*n0
+ addi $j,$j,-1
+ addi $tp,$sp,`$FRAME+$TRANSFER-8`
+ li $carry,0
+ mtctr $j
+
+ ; transfer bp[0] to FPU as 4x16-bit values
+ extrdi $t0,$t3,16,48
+ extrdi $t1,$t3,16,32
+ extrdi $t2,$t3,16,16
+ extrdi $t3,$t3,16,0
+ std $t0,`$FRAME+0`($sp)
+ std $t1,`$FRAME+8`($sp)
+ std $t2,`$FRAME+16`($sp)
+ std $t3,`$FRAME+24`($sp)
+ ; transfer (ap[0]*bp[0])*n0 to FPU as 4x16-bit values
+ extrdi $t4,$t7,16,48
+ extrdi $t5,$t7,16,32
+ extrdi $t6,$t7,16,16
+ extrdi $t7,$t7,16,0
+ std $t4,`$FRAME+32`($sp)
+ std $t5,`$FRAME+40`($sp)
+ std $t6,`$FRAME+48`($sp)
+ std $t7,`$FRAME+56`($sp)
+ lwz $t0,4($ap) ; load a[j] as 32-bit word pair
+ lwz $t1,0($ap)
+ lwz $t2,12($ap) ; load a[j+1] as 32-bit word pair
+ lwz $t3,8($ap)
+ lwz $t4,4($np) ; load n[j] as 32-bit word pair
+ lwz $t5,0($np)
+ lwz $t6,12($np) ; load n[j+1] as 32-bit word pair
+ lwz $t7,8($np)
+ lfd $ba,`$FRAME+0`($sp)
+ lfd $bb,`$FRAME+8`($sp)
+ lfd $bc,`$FRAME+16`($sp)
+ lfd $bd,`$FRAME+24`($sp)
+ lfd $na,`$FRAME+32`($sp)
+ lfd $nb,`$FRAME+40`($sp)
+ lfd $nc,`$FRAME+48`($sp)
+ lfd $nd,`$FRAME+56`($sp)
+ std $t0,`$FRAME+64`($sp)
+ std $t1,`$FRAME+72`($sp)
+ std $t2,`$FRAME+80`($sp)
+ std $t3,`$FRAME+88`($sp)
+ std $t4,`$FRAME+96`($sp)
+ std $t5,`$FRAME+104`($sp)
+ std $t6,`$FRAME+112`($sp)
+ std $t7,`$FRAME+120`($sp)
+ fcfid $ba,$ba
+ fcfid $bb,$bb
+ fcfid $bc,$bc
+ fcfid $bd,$bd
+ fcfid $na,$na
+ fcfid $nb,$nb
+ fcfid $nc,$nc
+ fcfid $nd,$nd
+
+ lfd $A0,`$FRAME+64`($sp)
+ lfd $A1,`$FRAME+72`($sp)
+ lfd $A2,`$FRAME+80`($sp)
+ lfd $A3,`$FRAME+88`($sp)
+ lfd $N0,`$FRAME+96`($sp)
+ lfd $N1,`$FRAME+104`($sp)
+ lfd $N2,`$FRAME+112`($sp)
+ lfd $N3,`$FRAME+120`($sp)
+ fcfid $A0,$A0
+ fcfid $A1,$A1
+ fcfid $A2,$A2
+ fcfid $A3,$A3
+ fcfid $N0,$N0
+ fcfid $N1,$N1
+ fcfid $N2,$N2
+ fcfid $N3,$N3
+ addi $ap,$ap,16
+ addi $np,$np,16
+
+ fmul $T1a,$A1,$ba
+ fmul $T1b,$A1,$bb
+ stfd $A0,8($nap_d) ; save a[j] in double format
+ stfd $A1,16($nap_d)
+ fmul $T2a,$A2,$ba
+ fmul $T2b,$A2,$bb
+ stfd $A2,24($nap_d) ; save a[j+1] in double format
+ stfd $A3,32($nap_d)
+ fmul $T3a,$A3,$ba
+ fmul $T3b,$A3,$bb
+ stfd $N0,40($nap_d) ; save n[j] in double format
+ stfd $N1,48($nap_d)
+ fmul $T0a,$A0,$ba
+ fmul $T0b,$A0,$bb
+ stfd $N2,56($nap_d) ; save n[j+1] in double format
+ stfdu $N3,64($nap_d)
+
+ fmadd $T1a,$A0,$bc,$T1a
+ fmadd $T1b,$A0,$bd,$T1b
+ fmadd $T2a,$A1,$bc,$T2a
+ fmadd $T2b,$A1,$bd,$T2b
+ fmadd $T3a,$A2,$bc,$T3a
+ fmadd $T3b,$A2,$bd,$T3b
+ fmul $dota,$A3,$bc
+ fmul $dotb,$A3,$bd
+
+ fmadd $T1a,$N1,$na,$T1a
+ fmadd $T1b,$N1,$nb,$T1b
+ fmadd $T2a,$N2,$na,$T2a
+ fmadd $T2b,$N2,$nb,$T2b
+ fmadd $T3a,$N3,$na,$T3a
+ fmadd $T3b,$N3,$nb,$T3b
+ fmadd $T0a,$N0,$na,$T0a
+ fmadd $T0b,$N0,$nb,$T0b
+
+ fmadd $T1a,$N0,$nc,$T1a
+ fmadd $T1b,$N0,$nd,$T1b
+ fmadd $T2a,$N1,$nc,$T2a
+ fmadd $T2b,$N1,$nd,$T2b
+ fmadd $T3a,$N2,$nc,$T3a
+ fmadd $T3b,$N2,$nd,$T3b
+ fmadd $dota,$N3,$nc,$dota
+ fmadd $dotb,$N3,$nd,$dotb
+
+ fctid $T0a,$T0a
+ fctid $T0b,$T0b
+ fctid $T1a,$T1a
+ fctid $T1b,$T1b
+ fctid $T2a,$T2a
+ fctid $T2b,$T2b
+ fctid $T3a,$T3a
+ fctid $T3b,$T3b
+
+ stfd $T0a,`$FRAME+0`($sp)
+ stfd $T0b,`$FRAME+8`($sp)
+ stfd $T1a,`$FRAME+16`($sp)
+ stfd $T1b,`$FRAME+24`($sp)
+ stfd $T2a,`$FRAME+32`($sp)
+ stfd $T2b,`$FRAME+40`($sp)
+ stfd $T3a,`$FRAME+48`($sp)
+ stfd $T3b,`$FRAME+56`($sp)
+
+.align 5
+L1st:
+ lwz $t0,4($ap) ; load a[j] as 32-bit word pair
+ lwz $t1,0($ap)
+ lwz $t2,12($ap) ; load a[j+1] as 32-bit word pair
+ lwz $t3,8($ap)
+ lwz $t4,4($np) ; load n[j] as 32-bit word pair
+ lwz $t5,0($np)
+ lwz $t6,12($np) ; load n[j+1] as 32-bit word pair
+ lwz $t7,8($np)
+ std $t0,`$FRAME+64`($sp)
+ std $t1,`$FRAME+72`($sp)
+ std $t2,`$FRAME+80`($sp)
+ std $t3,`$FRAME+88`($sp)
+ std $t4,`$FRAME+96`($sp)
+ std $t5,`$FRAME+104`($sp)
+ std $t6,`$FRAME+112`($sp)
+ std $t7,`$FRAME+120`($sp)
+ ld $t0,`$FRAME+0`($sp)
+ ld $t1,`$FRAME+8`($sp)
+ ld $t2,`$FRAME+16`($sp)
+ ld $t3,`$FRAME+24`($sp)
+ ld $t4,`$FRAME+32`($sp)
+ ld $t5,`$FRAME+40`($sp)
+ ld $t6,`$FRAME+48`($sp)
+ ld $t7,`$FRAME+56`($sp)
+ lfd $A0,`$FRAME+64`($sp)
+ lfd $A1,`$FRAME+72`($sp)
+ lfd $A2,`$FRAME+80`($sp)
+ lfd $A3,`$FRAME+88`($sp)
+ lfd $N0,`$FRAME+96`($sp)
+ lfd $N1,`$FRAME+104`($sp)
+ lfd $N2,`$FRAME+112`($sp)
+ lfd $N3,`$FRAME+120`($sp)
+ fcfid $A0,$A0
+ fcfid $A1,$A1
+ fcfid $A2,$A2
+ fcfid $A3,$A3
+ fcfid $N0,$N0
+ fcfid $N1,$N1
+ fcfid $N2,$N2
+ fcfid $N3,$N3
+ addi $ap,$ap,16
+ addi $np,$np,16
+
+ fmul $T1a,$A1,$ba
+ fmul $T1b,$A1,$bb
+ fmul $T2a,$A2,$ba
+ fmul $T2b,$A2,$bb
+ stfd $A0,8($nap_d) ; save a[j] in double format
+ stfd $A1,16($nap_d)
+ fmul $T3a,$A3,$ba
+ fmul $T3b,$A3,$bb
+ fmadd $T0a,$A0,$ba,$dota
+ fmadd $T0b,$A0,$bb,$dotb
+ stfd $A2,24($nap_d) ; save a[j+1] in double format
+ stfd $A3,32($nap_d)
+
+ fmadd $T1a,$A0,$bc,$T1a
+ fmadd $T1b,$A0,$bd,$T1b
+ fmadd $T2a,$A1,$bc,$T2a
+ fmadd $T2b,$A1,$bd,$T2b
+ stfd $N0,40($nap_d) ; save n[j] in double format
+ stfd $N1,48($nap_d)
+ fmadd $T3a,$A2,$bc,$T3a
+ fmadd $T3b,$A2,$bd,$T3b
+ add $t0,$t0,$carry ; can not overflow
+ fmul $dota,$A3,$bc
+ fmul $dotb,$A3,$bd
+ stfd $N2,56($nap_d) ; save n[j+1] in double format
+ stfdu $N3,64($nap_d)
+ srdi $carry,$t0,16
+ add $t1,$t1,$carry
+ srdi $carry,$t1,16
+
+ fmadd $T1a,$N1,$na,$T1a
+ fmadd $T1b,$N1,$nb,$T1b
+ insrdi $t0,$t1,16,32
+ fmadd $T2a,$N2,$na,$T2a
+ fmadd $T2b,$N2,$nb,$T2b
+ add $t2,$t2,$carry
+ fmadd $T3a,$N3,$na,$T3a
+ fmadd $T3b,$N3,$nb,$T3b
+ srdi $carry,$t2,16
+ fmadd $T0a,$N0,$na,$T0a
+ fmadd $T0b,$N0,$nb,$T0b
+ insrdi $t0,$t2,16,16
+ add $t3,$t3,$carry
+ srdi $carry,$t3,16
+
+ fmadd $T1a,$N0,$nc,$T1a
+ fmadd $T1b,$N0,$nd,$T1b
+ insrdi $t0,$t3,16,0 ; 0..63 bits
+ fmadd $T2a,$N1,$nc,$T2a
+ fmadd $T2b,$N1,$nd,$T2b
+ add $t4,$t4,$carry
+ fmadd $T3a,$N2,$nc,$T3a
+ fmadd $T3b,$N2,$nd,$T3b
+ srdi $carry,$t4,16
+ fmadd $dota,$N3,$nc,$dota
+ fmadd $dotb,$N3,$nd,$dotb
+ add $t5,$t5,$carry
+ srdi $carry,$t5,16
+ insrdi $t4,$t5,16,32
+
+ fctid $T0a,$T0a
+ fctid $T0b,$T0b
+ add $t6,$t6,$carry
+ fctid $T1a,$T1a
+ fctid $T1b,$T1b
+ srdi $carry,$t6,16
+ fctid $T2a,$T2a
+ fctid $T2b,$T2b
+ insrdi $t4,$t6,16,16
+ fctid $T3a,$T3a
+ fctid $T3b,$T3b
+ add $t7,$t7,$carry
+ insrdi $t4,$t7,16,0 ; 64..127 bits
+ srdi $carry,$t7,16 ; upper 33 bits
+
+ stfd $T0a,`$FRAME+0`($sp)
+ stfd $T0b,`$FRAME+8`($sp)
+ stfd $T1a,`$FRAME+16`($sp)
+ stfd $T1b,`$FRAME+24`($sp)
+ stfd $T2a,`$FRAME+32`($sp)
+ stfd $T2b,`$FRAME+40`($sp)
+ stfd $T3a,`$FRAME+48`($sp)
+ stfd $T3b,`$FRAME+56`($sp)
+ std $t0,8($tp) ; tp[j-1]
+ stdu $t4,16($tp) ; tp[j]
+ bdnz- L1st
+
+ fctid $dota,$dota
+ fctid $dotb,$dotb
+
+ ld $t0,`$FRAME+0`($sp)
+ ld $t1,`$FRAME+8`($sp)
+ ld $t2,`$FRAME+16`($sp)
+ ld $t3,`$FRAME+24`($sp)
+ ld $t4,`$FRAME+32`($sp)
+ ld $t5,`$FRAME+40`($sp)
+ ld $t6,`$FRAME+48`($sp)
+ ld $t7,`$FRAME+56`($sp)
+ stfd $dota,`$FRAME+64`($sp)
+ stfd $dotb,`$FRAME+72`($sp)
+
+ add $t0,$t0,$carry ; can not overflow
+ srdi $carry,$t0,16
+ add $t1,$t1,$carry
+ srdi $carry,$t1,16
+ insrdi $t0,$t1,16,32
+ add $t2,$t2,$carry
+ srdi $carry,$t2,16
+ insrdi $t0,$t2,16,16
+ add $t3,$t3,$carry
+ srdi $carry,$t3,16
+ insrdi $t0,$t3,16,0 ; 0..63 bits
+ add $t4,$t4,$carry
+ srdi $carry,$t4,16
+ add $t5,$t5,$carry
+ srdi $carry,$t5,16
+ insrdi $t4,$t5,16,32
+ add $t6,$t6,$carry
+ srdi $carry,$t6,16
+ insrdi $t4,$t6,16,16
+ add $t7,$t7,$carry
+ insrdi $t4,$t7,16,0 ; 64..127 bits
+ srdi $carry,$t7,16 ; upper 33 bits
+ ld $t6,`$FRAME+64`($sp)
+ ld $t7,`$FRAME+72`($sp)
+
+ std $t0,8($tp) ; tp[j-1]
+ stdu $t4,16($tp) ; tp[j]
+
+ add $t6,$t6,$carry ; can not overflow
+ srdi $carry,$t6,16
+ add $t7,$t7,$carry
+ insrdi $t6,$t7,48,0
+ srdi $ovf,$t7,48
+ std $t6,8($tp) ; tp[num-1]
+
+ slwi $t7,$num,2
+ subf $nap_d,$t7,$nap_d ; rewind pointer
+
+ li $i,8 ; i=1
+.align 5
+Louter:
+ ldx $t3,$bp,$i ; bp[i]
+ ld $t6,`$FRAME+$TRANSFER+8`($sp) ; tp[0]
+ mulld $t7,$a0,$t3 ; ap[0]*bp[i]
+
+ addi $tp,$sp,`$FRAME+$TRANSFER`
+ add $t7,$t7,$t6 ; ap[0]*bp[i]+tp[0]
+ li $carry,0
+ mulld $t7,$t7,$n0 ; tp[0]*n0
+ mtctr $j
+
+ ; transfer bp[i] to FPU as 4x16-bit values
+ extrdi $t0,$t3,16,48
+ extrdi $t1,$t3,16,32
+ extrdi $t2,$t3,16,16
+ extrdi $t3,$t3,16,0
+ std $t0,`$FRAME+0`($sp)
+ std $t1,`$FRAME+8`($sp)
+ std $t2,`$FRAME+16`($sp)
+ std $t3,`$FRAME+24`($sp)
+ ; transfer (ap[0]*bp[i]+tp[0])*n0 to FPU as 4x16-bit values
+ extrdi $t4,$t7,16,48
+ extrdi $t5,$t7,16,32
+ extrdi $t6,$t7,16,16
+ extrdi $t7,$t7,16,0
+ std $t4,`$FRAME+32`($sp)
+ std $t5,`$FRAME+40`($sp)
+ std $t6,`$FRAME+48`($sp)
+ std $t7,`$FRAME+56`($sp)
+
+ lfd $A0,8($nap_d) ; load a[j] in double format
+ lfd $A1,16($nap_d)
+ lfd $A2,24($nap_d) ; load a[j+1] in double format
+ lfd $A3,32($nap_d)
+ lfd $N0,40($nap_d) ; load n[j] in double format
+ lfd $N1,48($nap_d)
+ lfd $N2,56($nap_d) ; load n[j+1] in double format
+ lfdu $N3,64($nap_d)
+
+ lfd $ba,`$FRAME+0`($sp)
+ lfd $bb,`$FRAME+8`($sp)
+ lfd $bc,`$FRAME+16`($sp)
+ lfd $bd,`$FRAME+24`($sp)
+ lfd $na,`$FRAME+32`($sp)
+ lfd $nb,`$FRAME+40`($sp)
+ lfd $nc,`$FRAME+48`($sp)
+ lfd $nd,`$FRAME+56`($sp)
+
+ fcfid $ba,$ba
+ fcfid $bb,$bb
+ fcfid $bc,$bc
+ fcfid $bd,$bd
+ fcfid $na,$na
+ fcfid $nb,$nb
+ fcfid $nc,$nc
+ fcfid $nd,$nd
+
+ fmul $T1a,$A1,$ba
+ fmul $T1b,$A1,$bb
+ fmul $T2a,$A2,$ba
+ fmul $T2b,$A2,$bb
+ fmul $T3a,$A3,$ba
+ fmul $T3b,$A3,$bb
+ fmul $T0a,$A0,$ba
+ fmul $T0b,$A0,$bb
+
+ fmadd $T1a,$A0,$bc,$T1a
+ fmadd $T1b,$A0,$bd,$T1b
+ fmadd $T2a,$A1,$bc,$T2a
+ fmadd $T2b,$A1,$bd,$T2b
+ fmadd $T3a,$A2,$bc,$T3a
+ fmadd $T3b,$A2,$bd,$T3b
+ fmul $dota,$A3,$bc
+ fmul $dotb,$A3,$bd
+
+ fmadd $T1a,$N1,$na,$T1a
+ fmadd $T1b,$N1,$nb,$T1b
+ lfd $A0,8($nap_d) ; load a[j] in double format
+ lfd $A1,16($nap_d)
+ fmadd $T2a,$N2,$na,$T2a
+ fmadd $T2b,$N2,$nb,$T2b
+ lfd $A2,24($nap_d) ; load a[j+1] in double format
+ lfd $A3,32($nap_d)
+ fmadd $T3a,$N3,$na,$T3a
+ fmadd $T3b,$N3,$nb,$T3b
+ fmadd $T0a,$N0,$na,$T0a
+ fmadd $T0b,$N0,$nb,$T0b
+
+ fmadd $T1a,$N0,$nc,$T1a
+ fmadd $T1b,$N0,$nd,$T1b
+ fmadd $T2a,$N1,$nc,$T2a
+ fmadd $T2b,$N1,$nd,$T2b
+ fmadd $T3a,$N2,$nc,$T3a
+ fmadd $T3b,$N2,$nd,$T3b
+ fmadd $dota,$N3,$nc,$dota
+ fmadd $dotb,$N3,$nd,$dotb
+
+ fctid $T0a,$T0a
+ fctid $T0b,$T0b
+ fctid $T1a,$T1a
+ fctid $T1b,$T1b
+ fctid $T2a,$T2a
+ fctid $T2b,$T2b
+ fctid $T3a,$T3a
+ fctid $T3b,$T3b
+
+ stfd $T0a,`$FRAME+0`($sp)
+ stfd $T0b,`$FRAME+8`($sp)
+ stfd $T1a,`$FRAME+16`($sp)
+ stfd $T1b,`$FRAME+24`($sp)
+ stfd $T2a,`$FRAME+32`($sp)
+ stfd $T2b,`$FRAME+40`($sp)
+ stfd $T3a,`$FRAME+48`($sp)
+ stfd $T3b,`$FRAME+56`($sp)
+
+.align 5
+Linner:
+ fmul $T1a,$A1,$ba
+ fmul $T1b,$A1,$bb
+ fmul $T2a,$A2,$ba
+ fmul $T2b,$A2,$bb
+ lfd $N0,40($nap_d) ; load n[j] in double format
+ lfd $N1,48($nap_d)
+ fmul $T3a,$A3,$ba
+ fmul $T3b,$A3,$bb
+ fmadd $T0a,$A0,$ba,$dota
+ fmadd $T0b,$A0,$bb,$dotb
+ lfd $N2,56($nap_d) ; load n[j+1] in double format
+ lfdu $N3,64($nap_d)
+
+ fmadd $T1a,$A0,$bc,$T1a
+ fmadd $T1b,$A0,$bd,$T1b
+ fmadd $T2a,$A1,$bc,$T2a
+ fmadd $T2b,$A1,$bd,$T2b
+ lfd $A0,8($nap_d) ; load a[j] in double format
+ lfd $A1,16($nap_d)
+ fmadd $T3a,$A2,$bc,$T3a
+ fmadd $T3b,$A2,$bd,$T3b
+ fmul $dota,$A3,$bc
+ fmul $dotb,$A3,$bd
+ lfd $A2,24($nap_d) ; load a[j+1] in double format
+ lfd $A3,32($nap_d)
+
+ fmadd $T1a,$N1,$na,$T1a
+ fmadd $T1b,$N1,$nb,$T1b
+ ld $t0,`$FRAME+0`($sp)
+ ld $t1,`$FRAME+8`($sp)
+ fmadd $T2a,$N2,$na,$T2a
+ fmadd $T2b,$N2,$nb,$T2b
+ ld $t2,`$FRAME+16`($sp)
+ ld $t3,`$FRAME+24`($sp)
+ fmadd $T3a,$N3,$na,$T3a
+ fmadd $T3b,$N3,$nb,$T3b
+ add $t0,$t0,$carry ; can not overflow
+ ld $t4,`$FRAME+32`($sp)
+ ld $t5,`$FRAME+40`($sp)
+ fmadd $T0a,$N0,$na,$T0a
+ fmadd $T0b,$N0,$nb,$T0b
+ srdi $carry,$t0,16
+ add $t1,$t1,$carry
+ srdi $carry,$t1,16
+ ld $t6,`$FRAME+48`($sp)
+ ld $t7,`$FRAME+56`($sp)
+
+ fmadd $T1a,$N0,$nc,$T1a
+ fmadd $T1b,$N0,$nd,$T1b
+ insrdi $t0,$t1,16,32
+ ld $t1,8($tp) ; tp[j]
+ fmadd $T2a,$N1,$nc,$T2a
+ fmadd $T2b,$N1,$nd,$T2b
+ add $t2,$t2,$carry
+ fmadd $T3a,$N2,$nc,$T3a
+ fmadd $T3b,$N2,$nd,$T3b
+ srdi $carry,$t2,16
+ insrdi $t0,$t2,16,16
+ fmadd $dota,$N3,$nc,$dota
+ fmadd $dotb,$N3,$nd,$dotb
+ add $t3,$t3,$carry
+ ldu $t2,16($tp) ; tp[j+1]
+ srdi $carry,$t3,16
+ insrdi $t0,$t3,16,0 ; 0..63 bits
+ add $t4,$t4,$carry
+
+ fctid $T0a,$T0a
+ fctid $T0b,$T0b
+ srdi $carry,$t4,16
+ fctid $T1a,$T1a
+ fctid $T1b,$T1b
+ add $t5,$t5,$carry
+ fctid $T2a,$T2a
+ fctid $T2b,$T2b
+ srdi $carry,$t5,16
+ insrdi $t4,$t5,16,32
+ fctid $T3a,$T3a
+ fctid $T3b,$T3b
+ add $t6,$t6,$carry
+ srdi $carry,$t6,16
+ insrdi $t4,$t6,16,16
+
+ stfd $T0a,`$FRAME+0`($sp)
+ stfd $T0b,`$FRAME+8`($sp)
+ add $t7,$t7,$carry
+ addc $t3,$t0,$t1
+ stfd $T1a,`$FRAME+16`($sp)
+ stfd $T1b,`$FRAME+24`($sp)
+ insrdi $t4,$t7,16,0 ; 64..127 bits
+ srdi $carry,$t7,16 ; upper 33 bits
+ stfd $T2a,`$FRAME+32`($sp)
+ stfd $T2b,`$FRAME+40`($sp)
+ adde $t5,$t4,$t2
+ stfd $T3a,`$FRAME+48`($sp)
+ stfd $T3b,`$FRAME+56`($sp)
+ addze $carry,$carry
+ std $t3,-16($tp) ; tp[j-1]
+ std $t5,-8($tp) ; tp[j]
+ bdnz- Linner
+
+ fctid $dota,$dota
+ fctid $dotb,$dotb
+ ld $t0,`$FRAME+0`($sp)
+ ld $t1,`$FRAME+8`($sp)
+ ld $t2,`$FRAME+16`($sp)
+ ld $t3,`$FRAME+24`($sp)
+ ld $t4,`$FRAME+32`($sp)
+ ld $t5,`$FRAME+40`($sp)
+ ld $t6,`$FRAME+48`($sp)
+ ld $t7,`$FRAME+56`($sp)
+ stfd $dota,`$FRAME+64`($sp)
+ stfd $dotb,`$FRAME+72`($sp)
+
+ add $t0,$t0,$carry ; can not overflow
+ srdi $carry,$t0,16
+ add $t1,$t1,$carry
+ srdi $carry,$t1,16
+ insrdi $t0,$t1,16,32
+ add $t2,$t2,$carry
+ ld $t1,8($tp) ; tp[j]
+ srdi $carry,$t2,16
+ insrdi $t0,$t2,16,16
+ add $t3,$t3,$carry
+ ldu $t2,16($tp) ; tp[j+1]
+ srdi $carry,$t3,16
+ insrdi $t0,$t3,16,0 ; 0..63 bits
+ add $t4,$t4,$carry
+ srdi $carry,$t4,16
+ add $t5,$t5,$carry
+ srdi $carry,$t5,16
+ insrdi $t4,$t5,16,32
+ add $t6,$t6,$carry
+ srdi $carry,$t6,16
+ insrdi $t4,$t6,16,16
+ add $t7,$t7,$carry
+ insrdi $t4,$t7,16,0 ; 64..127 bits
+ srdi $carry,$t7,16 ; upper 33 bits
+ ld $t6,`$FRAME+64`($sp)
+ ld $t7,`$FRAME+72`($sp)
+
+ addc $t3,$t0,$t1
+ adde $t5,$t4,$t2
+ addze $carry,$carry
+
+ std $t3,-16($tp) ; tp[j-1]
+ std $t5,-8($tp) ; tp[j]
+
+ add $carry,$carry,$ovf ; comsume upmost overflow
+ add $t6,$t6,$carry ; can not overflow
+ srdi $carry,$t6,16
+ add $t7,$t7,$carry
+ insrdi $t6,$t7,48,0
+ srdi $ovf,$t7,48
+ std $t6,0($tp) ; tp[num-1]
+
+ slwi $t7,$num,2
+ addi $i,$i,8
+ subf $nap_d,$t7,$nap_d ; rewind pointer
+ cmpw $i,$num
+ blt- Louter
+
+ subf $np,$num,$np ; rewind np
+ addi $j,$j,1 ; restore counter
+ subfc $i,$i,$i ; j=0 and "clear" XER[CA]
+ addi $tp,$sp,`$FRAME+$TRANSFER+8`
+ addi $t4,$sp,`$FRAME+$TRANSFER+16`
+ addi $t5,$np,8
+ addi $t6,$rp,8
+ mtctr $j
+
+.align 4
+Lsub: ldx $t0,$tp,$i
+ ldx $t1,$np,$i
+ ldx $t2,$t4,$i
+ ldx $t3,$t5,$i
+ subfe $t0,$t1,$t0 ; tp[j]-np[j]
+ subfe $t2,$t3,$t2 ; tp[j+1]-np[j+1]
+ stdx $t0,$rp,$i
+ stdx $t2,$t6,$i
+ addi $i,$i,16
+ bdnz- Lsub
+
+ li $i,0
+ subfe $ovf,$i,$ovf ; handle upmost overflow bit
+ and $ap,$tp,$ovf
+ andc $np,$rp,$ovf
+ or $ap,$ap,$np ; ap=borrow?tp:rp
+ addi $t7,$ap,8
+ mtctr $j
+
+.align 4
+Lcopy: ; copy or in-place refresh
+ ldx $t0,$ap,$i
+ ldx $t1,$t7,$i
+ std $i,8($nap_d) ; zap nap_d
+ std $i,16($nap_d)
+ std $i,24($nap_d)
+ std $i,32($nap_d)
+ std $i,40($nap_d)
+ std $i,48($nap_d)
+ std $i,56($nap_d)
+ stdu $i,64($nap_d)
+ stdx $t0,$rp,$i
+ stdx $t1,$t6,$i
+ stdx $i,$tp,$i ; zap tp at once
+ stdx $i,$t4,$i
+ addi $i,$i,16
+ bdnz- Lcopy
+
+ $POP r14,`2*$SIZE_T`($sp)
+ $POP r15,`3*$SIZE_T`($sp)
+ $POP r16,`4*$SIZE_T`($sp)
+ $POP r17,`5*$SIZE_T`($sp)
+ $POP r18,`6*$SIZE_T`($sp)
+ $POP r19,`7*$SIZE_T`($sp)
+ $POP r20,`8*$SIZE_T`($sp)
+ $POP r21,`9*$SIZE_T`($sp)
+ $POP r22,`10*$SIZE_T`($sp)
+ $POP r23,`11*$SIZE_T`($sp)
+ lfd f14,`12*$SIZE_T+0`($sp)
+ lfd f15,`12*$SIZE_T+8`($sp)
+ lfd f16,`12*$SIZE_T+16`($sp)
+ lfd f17,`12*$SIZE_T+24`($sp)
+ lfd f18,`12*$SIZE_T+32`($sp)
+ lfd f19,`12*$SIZE_T+40`($sp)
+ lfd f20,`12*$SIZE_T+48`($sp)
+ lfd f21,`12*$SIZE_T+56`($sp)
+ lfd f22,`12*$SIZE_T+64`($sp)
+ lfd f23,`12*$SIZE_T+72`($sp)
+ lfd f24,`12*$SIZE_T+80`($sp)
+ lfd f25,`12*$SIZE_T+88`($sp)
+ $POP $sp,0($sp)
+ li r3,1 ; signal "handled"
+ blr
+ .long 0
+.asciz "Montgomery Multiplication for PPC64, CRYPTOGAMS by <appro\@fy.chalmers.se>"
+___
+
+$code =~ s/\`([^\`]*)\`/eval $1/gem;
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/s390x-mont.pl b/openssl/crypto/bn/asm/s390x-mont.pl
new file mode 100644
index 00000000..f61246f5
--- /dev/null
+++ b/openssl/crypto/bn/asm/s390x-mont.pl
@@ -0,0 +1,225 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# April 2007.
+#
+# Performance improvement over vanilla C code varies from 85% to 45%
+# depending on key length and benchmark. Unfortunately in this context
+# these are not very impressive results [for code that utilizes "wide"
+# 64x64=128-bit multiplication, which is not commonly available to C
+# programmers], at least hand-coded bn_asm.c replacement is known to
+# provide 30-40% better results for longest keys. Well, on a second
+# thought it's not very surprising, because z-CPUs are single-issue
+# and _strictly_ in-order execution, while bn_mul_mont is more or less
+# dependent on CPU ability to pipe-line instructions and have several
+# of them "in-flight" at the same time. I mean while other methods,
+# for example Karatsuba, aim to minimize amount of multiplications at
+# the cost of other operations increase, bn_mul_mont aim to neatly
+# "overlap" multiplications and the other operations [and on most
+# platforms even minimize the amount of the other operations, in
+# particular references to memory]. But it's possible to improve this
+# module performance by implementing dedicated squaring code-path and
+# possibly by unrolling loops...
+
+# January 2009.
+#
+# Reschedule to minimize/avoid Address Generation Interlock hazard,
+# make inner loops counter-based.
+
+$mn0="%r0";
+$num="%r1";
+
+# int bn_mul_mont(
+$rp="%r2"; # BN_ULONG *rp,
+$ap="%r3"; # const BN_ULONG *ap,
+$bp="%r4"; # const BN_ULONG *bp,
+$np="%r5"; # const BN_ULONG *np,
+$n0="%r6"; # const BN_ULONG *n0,
+#$num="160(%r15)" # int num);
+
+$bi="%r2"; # zaps rp
+$j="%r7";
+
+$ahi="%r8";
+$alo="%r9";
+$nhi="%r10";
+$nlo="%r11";
+$AHI="%r12";
+$NHI="%r13";
+$count="%r14";
+$sp="%r15";
+
+$code.=<<___;
+.text
+.globl bn_mul_mont
+.type bn_mul_mont,\@function
+bn_mul_mont:
+ lgf $num,164($sp) # pull $num
+ sla $num,3 # $num to enumerate bytes
+ la $bp,0($num,$bp)
+
+ stg %r2,16($sp)
+
+ cghi $num,16 #
+ lghi %r2,0 #
+ blr %r14 # if($num<16) return 0;
+ cghi $num,96 #
+ bhr %r14 # if($num>96) return 0;
+
+ stmg %r3,%r15,24($sp)
+
+ lghi $rp,-160-8 # leave room for carry bit
+ lcgr $j,$num # -$num
+ lgr %r0,$sp
+ la $rp,0($rp,$sp)
+ la $sp,0($j,$rp) # alloca
+ stg %r0,0($sp) # back chain
+
+ sra $num,3 # restore $num
+ la $bp,0($j,$bp) # restore $bp
+ ahi $num,-1 # adjust $num for inner loop
+ lg $n0,0($n0) # pull n0
+
+ lg $bi,0($bp)
+ lg $alo,0($ap)
+ mlgr $ahi,$bi # ap[0]*bp[0]
+ lgr $AHI,$ahi
+
+ lgr $mn0,$alo # "tp[0]"*n0
+ msgr $mn0,$n0
+
+ lg $nlo,0($np) #
+ mlgr $nhi,$mn0 # np[0]*m1
+ algr $nlo,$alo # +="tp[0]"
+ lghi $NHI,0
+ alcgr $NHI,$nhi
+
+ la $j,8(%r0) # j=1
+ lr $count,$num
+
+.align 16
+.L1st:
+ lg $alo,0($j,$ap)
+ mlgr $ahi,$bi # ap[j]*bp[0]
+ algr $alo,$AHI
+ lghi $AHI,0
+ alcgr $AHI,$ahi
+
+ lg $nlo,0($j,$np)
+ mlgr $nhi,$mn0 # np[j]*m1
+ algr $nlo,$NHI
+ lghi $NHI,0
+ alcgr $nhi,$NHI # +="tp[j]"
+ algr $nlo,$alo
+ alcgr $NHI,$nhi
+
+ stg $nlo,160-8($j,$sp) # tp[j-1]=
+ la $j,8($j) # j++
+ brct $count,.L1st
+
+ algr $NHI,$AHI
+ lghi $AHI,0
+ alcgr $AHI,$AHI # upmost overflow bit
+ stg $NHI,160-8($j,$sp)
+ stg $AHI,160($j,$sp)
+ la $bp,8($bp) # bp++
+
+.Louter:
+ lg $bi,0($bp) # bp[i]
+ lg $alo,0($ap)
+ mlgr $ahi,$bi # ap[0]*bp[i]
+ alg $alo,160($sp) # +=tp[0]
+ lghi $AHI,0
+ alcgr $AHI,$ahi
+
+ lgr $mn0,$alo
+ msgr $mn0,$n0 # tp[0]*n0
+
+ lg $nlo,0($np) # np[0]
+ mlgr $nhi,$mn0 # np[0]*m1
+ algr $nlo,$alo # +="tp[0]"
+ lghi $NHI,0
+ alcgr $NHI,$nhi
+
+ la $j,8(%r0) # j=1
+ lr $count,$num
+
+.align 16
+.Linner:
+ lg $alo,0($j,$ap)
+ mlgr $ahi,$bi # ap[j]*bp[i]
+ algr $alo,$AHI
+ lghi $AHI,0
+ alcgr $ahi,$AHI
+ alg $alo,160($j,$sp)# +=tp[j]
+ alcgr $AHI,$ahi
+
+ lg $nlo,0($j,$np)
+ mlgr $nhi,$mn0 # np[j]*m1
+ algr $nlo,$NHI
+ lghi $NHI,0
+ alcgr $nhi,$NHI
+ algr $nlo,$alo # +="tp[j]"
+ alcgr $NHI,$nhi
+
+ stg $nlo,160-8($j,$sp) # tp[j-1]=
+ la $j,8($j) # j++
+ brct $count,.Linner
+
+ algr $NHI,$AHI
+ lghi $AHI,0
+ alcgr $AHI,$AHI
+ alg $NHI,160($j,$sp)# accumulate previous upmost overflow bit
+ lghi $ahi,0
+ alcgr $AHI,$ahi # new upmost overflow bit
+ stg $NHI,160-8($j,$sp)
+ stg $AHI,160($j,$sp)
+
+ la $bp,8($bp) # bp++
+ clg $bp,160+8+32($j,$sp) # compare to &bp[num]
+ jne .Louter
+
+ lg $rp,160+8+16($j,$sp) # reincarnate rp
+ la $ap,160($sp)
+ ahi $num,1 # restore $num, incidentally clears "borrow"
+
+ la $j,0(%r0)
+ lr $count,$num
+.Lsub: lg $alo,0($j,$ap)
+ slbg $alo,0($j,$np)
+ stg $alo,0($j,$rp)
+ la $j,8($j)
+ brct $count,.Lsub
+ lghi $ahi,0
+ slbgr $AHI,$ahi # handle upmost carry
+
+ ngr $ap,$AHI
+ lghi $np,-1
+ xgr $np,$AHI
+ ngr $np,$rp
+ ogr $ap,$np # ap=borrow?tp:rp
+
+ la $j,0(%r0)
+ lgr $count,$num
+.Lcopy: lg $alo,0($j,$ap) # copy or in-place refresh
+ stg $j,160($j,$sp) # zap tp
+ stg $alo,0($j,$rp)
+ la $j,8($j)
+ brct $count,.Lcopy
+
+ la %r1,160+8+48($j,$sp)
+ lmg %r6,%r15,0(%r1)
+ lghi %r2,1 # signal "processed"
+ br %r14
+.size bn_mul_mont,.-bn_mul_mont
+.string "Montgomery Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/s390x.S b/openssl/crypto/bn/asm/s390x.S
new file mode 100755
index 00000000..43fcb79b
--- /dev/null
+++ b/openssl/crypto/bn/asm/s390x.S
@@ -0,0 +1,678 @@
+.ident "s390x.S, version 1.1"
+// ====================================================================
+// Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+// project.
+//
+// Rights for redistribution and usage in source and binary forms are
+// granted according to the OpenSSL license. Warranty of any kind is
+// disclaimed.
+// ====================================================================
+
+.text
+
+#define zero %r0
+
+// BN_ULONG bn_mul_add_words(BN_ULONG *r2,BN_ULONG *r3,int r4,BN_ULONG r5);
+.globl bn_mul_add_words
+.type bn_mul_add_words,@function
+.align 4
+bn_mul_add_words:
+ lghi zero,0 // zero = 0
+ la %r1,0(%r2) // put rp aside
+ lghi %r2,0 // i=0;
+ ltgfr %r4,%r4
+ bler %r14 // if (len<=0) return 0;
+
+ stmg %r6,%r10,48(%r15)
+ lghi %r10,3
+ lghi %r8,0 // carry = 0
+ nr %r10,%r4 // len%4
+ sra %r4,2 // cnt=len/4
+ jz .Loop1_madd // carry is incidentally cleared if branch taken
+ algr zero,zero // clear carry
+
+.Loop4_madd:
+ lg %r7,0(%r2,%r3) // ap[i]
+ mlgr %r6,%r5 // *=w
+ alcgr %r7,%r8 // +=carry
+ alcgr %r6,zero
+ alg %r7,0(%r2,%r1) // +=rp[i]
+ stg %r7,0(%r2,%r1) // rp[i]=
+
+ lg %r9,8(%r2,%r3)
+ mlgr %r8,%r5
+ alcgr %r9,%r6
+ alcgr %r8,zero
+ alg %r9,8(%r2,%r1)
+ stg %r9,8(%r2,%r1)
+
+ lg %r7,16(%r2,%r3)
+ mlgr %r6,%r5
+ alcgr %r7,%r8
+ alcgr %r6,zero
+ alg %r7,16(%r2,%r1)
+ stg %r7,16(%r2,%r1)
+
+ lg %r9,24(%r2,%r3)
+ mlgr %r8,%r5
+ alcgr %r9,%r6
+ alcgr %r8,zero
+ alg %r9,24(%r2,%r1)
+ stg %r9,24(%r2,%r1)
+
+ la %r2,32(%r2) // i+=4
+ brct %r4,.Loop4_madd
+
+ la %r10,1(%r10) // see if len%4 is zero ...
+ brct %r10,.Loop1_madd // without touching condition code:-)
+
+.Lend_madd:
+ alcgr %r8,zero // collect carry bit
+ lgr %r2,%r8
+ lmg %r6,%r10,48(%r15)
+ br %r14
+
+.Loop1_madd:
+ lg %r7,0(%r2,%r3) // ap[i]
+ mlgr %r6,%r5 // *=w
+ alcgr %r7,%r8 // +=carry
+ alcgr %r6,zero
+ alg %r7,0(%r2,%r1) // +=rp[i]
+ stg %r7,0(%r2,%r1) // rp[i]=
+
+ lgr %r8,%r6
+ la %r2,8(%r2) // i++
+ brct %r10,.Loop1_madd
+
+ j .Lend_madd
+.size bn_mul_add_words,.-bn_mul_add_words
+
+// BN_ULONG bn_mul_words(BN_ULONG *r2,BN_ULONG *r3,int r4,BN_ULONG r5);
+.globl bn_mul_words
+.type bn_mul_words,@function
+.align 4
+bn_mul_words:
+ lghi zero,0 // zero = 0
+ la %r1,0(%r2) // put rp aside
+ lghi %r2,0 // i=0;
+ ltgfr %r4,%r4
+ bler %r14 // if (len<=0) return 0;
+
+ stmg %r6,%r10,48(%r15)
+ lghi %r10,3
+ lghi %r8,0 // carry = 0
+ nr %r10,%r4 // len%4
+ sra %r4,2 // cnt=len/4
+ jz .Loop1_mul // carry is incidentally cleared if branch taken
+ algr zero,zero // clear carry
+
+.Loop4_mul:
+ lg %r7,0(%r2,%r3) // ap[i]
+ mlgr %r6,%r5 // *=w
+ alcgr %r7,%r8 // +=carry
+ stg %r7,0(%r2,%r1) // rp[i]=
+
+ lg %r9,8(%r2,%r3)
+ mlgr %r8,%r5
+ alcgr %r9,%r6
+ stg %r9,8(%r2,%r1)
+
+ lg %r7,16(%r2,%r3)
+ mlgr %r6,%r5
+ alcgr %r7,%r8
+ stg %r7,16(%r2,%r1)
+
+ lg %r9,24(%r2,%r3)
+ mlgr %r8,%r5
+ alcgr %r9,%r6
+ stg %r9,24(%r2,%r1)
+
+ la %r2,32(%r2) // i+=4
+ brct %r4,.Loop4_mul
+
+ la %r10,1(%r10) // see if len%4 is zero ...
+ brct %r10,.Loop1_mul // without touching condition code:-)
+
+.Lend_mul:
+ alcgr %r8,zero // collect carry bit
+ lgr %r2,%r8
+ lmg %r6,%r10,48(%r15)
+ br %r14
+
+.Loop1_mul:
+ lg %r7,0(%r2,%r3) // ap[i]
+ mlgr %r6,%r5 // *=w
+ alcgr %r7,%r8 // +=carry
+ stg %r7,0(%r2,%r1) // rp[i]=
+
+ lgr %r8,%r6
+ la %r2,8(%r2) // i++
+ brct %r10,.Loop1_mul
+
+ j .Lend_mul
+.size bn_mul_words,.-bn_mul_words
+
+// void bn_sqr_words(BN_ULONG *r2,BN_ULONG *r2,int r4)
+.globl bn_sqr_words
+.type bn_sqr_words,@function
+.align 4
+bn_sqr_words:
+ ltgfr %r4,%r4
+ bler %r14
+
+ stmg %r6,%r7,48(%r15)
+ srag %r1,%r4,2 // cnt=len/4
+ jz .Loop1_sqr
+
+.Loop4_sqr:
+ lg %r7,0(%r3)
+ mlgr %r6,%r7
+ stg %r7,0(%r2)
+ stg %r6,8(%r2)
+
+ lg %r7,8(%r3)
+ mlgr %r6,%r7
+ stg %r7,16(%r2)
+ stg %r6,24(%r2)
+
+ lg %r7,16(%r3)
+ mlgr %r6,%r7
+ stg %r7,32(%r2)
+ stg %r6,40(%r2)
+
+ lg %r7,24(%r3)
+ mlgr %r6,%r7
+ stg %r7,48(%r2)
+ stg %r6,56(%r2)
+
+ la %r3,32(%r3)
+ la %r2,64(%r2)
+ brct %r1,.Loop4_sqr
+
+ lghi %r1,3
+ nr %r4,%r1 // cnt=len%4
+ jz .Lend_sqr
+
+.Loop1_sqr:
+ lg %r7,0(%r3)
+ mlgr %r6,%r7
+ stg %r7,0(%r2)
+ stg %r6,8(%r2)
+
+ la %r3,8(%r3)
+ la %r2,16(%r2)
+ brct %r4,.Loop1_sqr
+
+.Lend_sqr:
+ lmg %r6,%r7,48(%r15)
+ br %r14
+.size bn_sqr_words,.-bn_sqr_words
+
+// BN_ULONG bn_div_words(BN_ULONG h,BN_ULONG l,BN_ULONG d);
+.globl bn_div_words
+.type bn_div_words,@function
+.align 4
+bn_div_words:
+ dlgr %r2,%r4
+ lgr %r2,%r3
+ br %r14
+.size bn_div_words,.-bn_div_words
+
+// BN_ULONG bn_add_words(BN_ULONG *r2,BN_ULONG *r3,BN_ULONG *r4,int r5);
+.globl bn_add_words
+.type bn_add_words,@function
+.align 4
+bn_add_words:
+ la %r1,0(%r2) // put rp aside
+ lghi %r2,0 // i=0
+ ltgfr %r5,%r5
+ bler %r14 // if (len<=0) return 0;
+
+ stg %r6,48(%r15)
+ lghi %r6,3
+ nr %r6,%r5 // len%4
+ sra %r5,2 // len/4, use sra because it sets condition code
+ jz .Loop1_add // carry is incidentally cleared if branch taken
+ algr %r2,%r2 // clear carry
+
+.Loop4_add:
+ lg %r0,0(%r2,%r3)
+ alcg %r0,0(%r2,%r4)
+ stg %r0,0(%r2,%r1)
+ lg %r0,8(%r2,%r3)
+ alcg %r0,8(%r2,%r4)
+ stg %r0,8(%r2,%r1)
+ lg %r0,16(%r2,%r3)
+ alcg %r0,16(%r2,%r4)
+ stg %r0,16(%r2,%r1)
+ lg %r0,24(%r2,%r3)
+ alcg %r0,24(%r2,%r4)
+ stg %r0,24(%r2,%r1)
+
+ la %r2,32(%r2) // i+=4
+ brct %r5,.Loop4_add
+
+ la %r6,1(%r6) // see if len%4 is zero ...
+ brct %r6,.Loop1_add // without touching condition code:-)
+
+.Lexit_add:
+ lghi %r2,0
+ alcgr %r2,%r2
+ lg %r6,48(%r15)
+ br %r14
+
+.Loop1_add:
+ lg %r0,0(%r2,%r3)
+ alcg %r0,0(%r2,%r4)
+ stg %r0,0(%r2,%r1)
+
+ la %r2,8(%r2) // i++
+ brct %r6,.Loop1_add
+
+ j .Lexit_add
+.size bn_add_words,.-bn_add_words
+
+// BN_ULONG bn_sub_words(BN_ULONG *r2,BN_ULONG *r3,BN_ULONG *r4,int r5);
+.globl bn_sub_words
+.type bn_sub_words,@function
+.align 4
+bn_sub_words:
+ la %r1,0(%r2) // put rp aside
+ lghi %r2,0 // i=0
+ ltgfr %r5,%r5
+ bler %r14 // if (len<=0) return 0;
+
+ stg %r6,48(%r15)
+ lghi %r6,3
+ nr %r6,%r5 // len%4
+ sra %r5,2 // len/4, use sra because it sets condition code
+ jnz .Loop4_sub // borrow is incidentally cleared if branch taken
+ slgr %r2,%r2 // clear borrow
+
+.Loop1_sub:
+ lg %r0,0(%r2,%r3)
+ slbg %r0,0(%r2,%r4)
+ stg %r0,0(%r2,%r1)
+
+ la %r2,8(%r2) // i++
+ brct %r6,.Loop1_sub
+ j .Lexit_sub
+
+.Loop4_sub:
+ lg %r0,0(%r2,%r3)
+ slbg %r0,0(%r2,%r4)
+ stg %r0,0(%r2,%r1)
+ lg %r0,8(%r2,%r3)
+ slbg %r0,8(%r2,%r4)
+ stg %r0,8(%r2,%r1)
+ lg %r0,16(%r2,%r3)
+ slbg %r0,16(%r2,%r4)
+ stg %r0,16(%r2,%r1)
+ lg %r0,24(%r2,%r3)
+ slbg %r0,24(%r2,%r4)
+ stg %r0,24(%r2,%r1)
+
+ la %r2,32(%r2) // i+=4
+ brct %r5,.Loop4_sub
+
+ la %r6,1(%r6) // see if len%4 is zero ...
+ brct %r6,.Loop1_sub // without touching condition code:-)
+
+.Lexit_sub:
+ lghi %r2,0
+ slbgr %r2,%r2
+ lcgr %r2,%r2
+ lg %r6,48(%r15)
+ br %r14
+.size bn_sub_words,.-bn_sub_words
+
+#define c1 %r1
+#define c2 %r5
+#define c3 %r8
+
+#define mul_add_c(ai,bi,c1,c2,c3) \
+ lg %r7,ai*8(%r3); \
+ mlg %r6,bi*8(%r4); \
+ algr c1,%r7; \
+ alcgr c2,%r6; \
+ alcgr c3,zero
+
+// void bn_mul_comba8(BN_ULONG *r2,BN_ULONG *r3,BN_ULONG *r4);
+.globl bn_mul_comba8
+.type bn_mul_comba8,@function
+.align 4
+bn_mul_comba8:
+ stmg %r6,%r8,48(%r15)
+
+ lghi c1,0
+ lghi c2,0
+ lghi c3,0
+ lghi zero,0
+
+ mul_add_c(0,0,c1,c2,c3);
+ stg c1,0*8(%r2)
+ lghi c1,0
+
+ mul_add_c(0,1,c2,c3,c1);
+ mul_add_c(1,0,c2,c3,c1);
+ stg c2,1*8(%r2)
+ lghi c2,0
+
+ mul_add_c(2,0,c3,c1,c2);
+ mul_add_c(1,1,c3,c1,c2);
+ mul_add_c(0,2,c3,c1,c2);
+ stg c3,2*8(%r2)
+ lghi c3,0
+
+ mul_add_c(0,3,c1,c2,c3);
+ mul_add_c(1,2,c1,c2,c3);
+ mul_add_c(2,1,c1,c2,c3);
+ mul_add_c(3,0,c1,c2,c3);
+ stg c1,3*8(%r2)
+ lghi c1,0
+
+ mul_add_c(4,0,c2,c3,c1);
+ mul_add_c(3,1,c2,c3,c1);
+ mul_add_c(2,2,c2,c3,c1);
+ mul_add_c(1,3,c2,c3,c1);
+ mul_add_c(0,4,c2,c3,c1);
+ stg c2,4*8(%r2)
+ lghi c2,0
+
+ mul_add_c(0,5,c3,c1,c2);
+ mul_add_c(1,4,c3,c1,c2);
+ mul_add_c(2,3,c3,c1,c2);
+ mul_add_c(3,2,c3,c1,c2);
+ mul_add_c(4,1,c3,c1,c2);
+ mul_add_c(5,0,c3,c1,c2);
+ stg c3,5*8(%r2)
+ lghi c3,0
+
+ mul_add_c(6,0,c1,c2,c3);
+ mul_add_c(5,1,c1,c2,c3);
+ mul_add_c(4,2,c1,c2,c3);
+ mul_add_c(3,3,c1,c2,c3);
+ mul_add_c(2,4,c1,c2,c3);
+ mul_add_c(1,5,c1,c2,c3);
+ mul_add_c(0,6,c1,c2,c3);
+ stg c1,6*8(%r2)
+ lghi c1,0
+
+ mul_add_c(0,7,c2,c3,c1);
+ mul_add_c(1,6,c2,c3,c1);
+ mul_add_c(2,5,c2,c3,c1);
+ mul_add_c(3,4,c2,c3,c1);
+ mul_add_c(4,3,c2,c3,c1);
+ mul_add_c(5,2,c2,c3,c1);
+ mul_add_c(6,1,c2,c3,c1);
+ mul_add_c(7,0,c2,c3,c1);
+ stg c2,7*8(%r2)
+ lghi c2,0
+
+ mul_add_c(7,1,c3,c1,c2);
+ mul_add_c(6,2,c3,c1,c2);
+ mul_add_c(5,3,c3,c1,c2);
+ mul_add_c(4,4,c3,c1,c2);
+ mul_add_c(3,5,c3,c1,c2);
+ mul_add_c(2,6,c3,c1,c2);
+ mul_add_c(1,7,c3,c1,c2);
+ stg c3,8*8(%r2)
+ lghi c3,0
+
+ mul_add_c(2,7,c1,c2,c3);
+ mul_add_c(3,6,c1,c2,c3);
+ mul_add_c(4,5,c1,c2,c3);
+ mul_add_c(5,4,c1,c2,c3);
+ mul_add_c(6,3,c1,c2,c3);
+ mul_add_c(7,2,c1,c2,c3);
+ stg c1,9*8(%r2)
+ lghi c1,0
+
+ mul_add_c(7,3,c2,c3,c1);
+ mul_add_c(6,4,c2,c3,c1);
+ mul_add_c(5,5,c2,c3,c1);
+ mul_add_c(4,6,c2,c3,c1);
+ mul_add_c(3,7,c2,c3,c1);
+ stg c2,10*8(%r2)
+ lghi c2,0
+
+ mul_add_c(4,7,c3,c1,c2);
+ mul_add_c(5,6,c3,c1,c2);
+ mul_add_c(6,5,c3,c1,c2);
+ mul_add_c(7,4,c3,c1,c2);
+ stg c3,11*8(%r2)
+ lghi c3,0
+
+ mul_add_c(7,5,c1,c2,c3);
+ mul_add_c(6,6,c1,c2,c3);
+ mul_add_c(5,7,c1,c2,c3);
+ stg c1,12*8(%r2)
+ lghi c1,0
+
+
+ mul_add_c(6,7,c2,c3,c1);
+ mul_add_c(7,6,c2,c3,c1);
+ stg c2,13*8(%r2)
+ lghi c2,0
+
+ mul_add_c(7,7,c3,c1,c2);
+ stg c3,14*8(%r2)
+ stg c1,15*8(%r2)
+
+ lmg %r6,%r8,48(%r15)
+ br %r14
+.size bn_mul_comba8,.-bn_mul_comba8
+
+// void bn_mul_comba4(BN_ULONG *r2,BN_ULONG *r3,BN_ULONG *r4);
+.globl bn_mul_comba4
+.type bn_mul_comba4,@function
+.align 4
+bn_mul_comba4:
+ stmg %r6,%r8,48(%r15)
+
+ lghi c1,0
+ lghi c2,0
+ lghi c3,0
+ lghi zero,0
+
+ mul_add_c(0,0,c1,c2,c3);
+ stg c1,0*8(%r3)
+ lghi c1,0
+
+ mul_add_c(0,1,c2,c3,c1);
+ mul_add_c(1,0,c2,c3,c1);
+ stg c2,1*8(%r2)
+ lghi c2,0
+
+ mul_add_c(2,0,c3,c1,c2);
+ mul_add_c(1,1,c3,c1,c2);
+ mul_add_c(0,2,c3,c1,c2);
+ stg c3,2*8(%r2)
+ lghi c3,0
+
+ mul_add_c(0,3,c1,c2,c3);
+ mul_add_c(1,2,c1,c2,c3);
+ mul_add_c(2,1,c1,c2,c3);
+ mul_add_c(3,0,c1,c2,c3);
+ stg c1,3*8(%r2)
+ lghi c1,0
+
+ mul_add_c(3,1,c2,c3,c1);
+ mul_add_c(2,2,c2,c3,c1);
+ mul_add_c(1,3,c2,c3,c1);
+ stg c2,4*8(%r2)
+ lghi c2,0
+
+ mul_add_c(2,3,c3,c1,c2);
+ mul_add_c(3,2,c3,c1,c2);
+ stg c3,5*8(%r2)
+ lghi c3,0
+
+ mul_add_c(3,3,c1,c2,c3);
+ stg c1,6*8(%r2)
+ stg c2,7*8(%r2)
+
+ stmg %r6,%r8,48(%r15)
+ br %r14
+.size bn_mul_comba4,.-bn_mul_comba4
+
+#define sqr_add_c(ai,c1,c2,c3) \
+ lg %r7,ai*8(%r3); \
+ mlgr %r6,%r7; \
+ algr c1,%r7; \
+ alcgr c2,%r6; \
+ alcgr c3,zero
+
+#define sqr_add_c2(ai,aj,c1,c2,c3) \
+ lg %r7,ai*8(%r3); \
+ mlg %r6,aj*8(%r3); \
+ algr c1,%r7; \
+ alcgr c2,%r6; \
+ alcgr c3,zero; \
+ algr c1,%r7; \
+ alcgr c2,%r6; \
+ alcgr c3,zero
+
+// void bn_sqr_comba8(BN_ULONG *r2,BN_ULONG *r3);
+.globl bn_sqr_comba8
+.type bn_sqr_comba8,@function
+.align 4
+bn_sqr_comba8:
+ stmg %r6,%r8,48(%r15)
+
+ lghi c1,0
+ lghi c2,0
+ lghi c3,0
+ lghi zero,0
+
+ sqr_add_c(0,c1,c2,c3);
+ stg c1,0*8(%r2)
+ lghi c1,0
+
+ sqr_add_c2(1,0,c2,c3,c1);
+ stg c2,1*8(%r2)
+ lghi c2,0
+
+ sqr_add_c(1,c3,c1,c2);
+ sqr_add_c2(2,0,c3,c1,c2);
+ stg c3,2*8(%r2)
+ lghi c3,0
+
+ sqr_add_c2(3,0,c1,c2,c3);
+ sqr_add_c2(2,1,c1,c2,c3);
+ stg c1,3*8(%r2)
+ lghi c1,0
+
+ sqr_add_c(2,c2,c3,c1);
+ sqr_add_c2(3,1,c2,c3,c1);
+ sqr_add_c2(4,0,c2,c3,c1);
+ stg c2,4*8(%r2)
+ lghi c2,0
+
+ sqr_add_c2(5,0,c3,c1,c2);
+ sqr_add_c2(4,1,c3,c1,c2);
+ sqr_add_c2(3,2,c3,c1,c2);
+ stg c3,5*8(%r2)
+ lghi c3,0
+
+ sqr_add_c(3,c1,c2,c3);
+ sqr_add_c2(4,2,c1,c2,c3);
+ sqr_add_c2(5,1,c1,c2,c3);
+ sqr_add_c2(6,0,c1,c2,c3);
+ stg c1,6*8(%r2)
+ lghi c1,0
+
+ sqr_add_c2(7,0,c2,c3,c1);
+ sqr_add_c2(6,1,c2,c3,c1);
+ sqr_add_c2(5,2,c2,c3,c1);
+ sqr_add_c2(4,3,c2,c3,c1);
+ stg c2,7*8(%r2)
+ lghi c2,0
+
+ sqr_add_c(4,c3,c1,c2);
+ sqr_add_c2(5,3,c3,c1,c2);
+ sqr_add_c2(6,2,c3,c1,c2);
+ sqr_add_c2(7,1,c3,c1,c2);
+ stg c3,8*8(%r2)
+ lghi c3,0
+
+ sqr_add_c2(7,2,c1,c2,c3);
+ sqr_add_c2(6,3,c1,c2,c3);
+ sqr_add_c2(5,4,c1,c2,c3);
+ stg c1,9*8(%r2)
+ lghi c1,0
+
+ sqr_add_c(5,c2,c3,c1);
+ sqr_add_c2(6,4,c2,c3,c1);
+ sqr_add_c2(7,3,c2,c3,c1);
+ stg c2,10*8(%r2)
+ lghi c2,0
+
+ sqr_add_c2(7,4,c3,c1,c2);
+ sqr_add_c2(6,5,c3,c1,c2);
+ stg c3,11*8(%r2)
+ lghi c3,0
+
+ sqr_add_c(6,c1,c2,c3);
+ sqr_add_c2(7,5,c1,c2,c3);
+ stg c1,12*8(%r2)
+ lghi c1,0
+
+ sqr_add_c2(7,6,c2,c3,c1);
+ stg c2,13*8(%r2)
+ lghi c2,0
+
+ sqr_add_c(7,c3,c1,c2);
+ stg c3,14*8(%r2)
+ stg c1,15*8(%r2)
+
+ lmg %r6,%r8,48(%r15)
+ br %r14
+.size bn_sqr_comba8,.-bn_sqr_comba8
+
+// void bn_sqr_comba4(BN_ULONG *r2,BN_ULONG *r3);
+.globl bn_sqr_comba4
+.type bn_sqr_comba4,@function
+.align 4
+bn_sqr_comba4:
+ stmg %r6,%r8,48(%r15)
+
+ lghi c1,0
+ lghi c2,0
+ lghi c3,0
+ lghi zero,0
+
+ sqr_add_c(0,c1,c2,c3);
+ stg c1,0*8(%r2)
+ lghi c1,0
+
+ sqr_add_c2(1,0,c2,c3,c1);
+ stg c2,1*8(%r2)
+ lghi c2,0
+
+ sqr_add_c(1,c3,c1,c2);
+ sqr_add_c2(2,0,c3,c1,c2);
+ stg c3,2*8(%r2)
+ lghi c3,0
+
+ sqr_add_c2(3,0,c1,c2,c3);
+ sqr_add_c2(2,1,c1,c2,c3);
+ stg c1,3*8(%r2)
+ lghi c1,0
+
+ sqr_add_c(2,c2,c3,c1);
+ sqr_add_c2(3,1,c2,c3,c1);
+ stg c2,4*8(%r2)
+ lghi c2,0
+
+ sqr_add_c2(3,2,c3,c1,c2);
+ stg c3,5*8(%r2)
+ lghi c3,0
+
+ sqr_add_c(3,c1,c2,c3);
+ stg c1,6*8(%r2)
+ stg c2,7*8(%r2)
+
+ lmg %r6,%r8,48(%r15)
+ br %r14
+.size bn_sqr_comba4,.-bn_sqr_comba4
diff --git a/openssl/crypto/bn/asm/sparcv8.S b/openssl/crypto/bn/asm/sparcv8.S
new file mode 100644
index 00000000..88c5dc48
--- /dev/null
+++ b/openssl/crypto/bn/asm/sparcv8.S
@@ -0,0 +1,1458 @@
+.ident "sparcv8.s, Version 1.4"
+.ident "SPARC v8 ISA artwork by Andy Polyakov <appro@fy.chalmers.se>"
+
+/*
+ * ====================================================================
+ * Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * project.
+ *
+ * Rights for redistribution and usage in source and binary forms are
+ * granted according to the OpenSSL license. Warranty of any kind is
+ * disclaimed.
+ * ====================================================================
+ */
+
+/*
+ * This is my modest contributon to OpenSSL project (see
+ * http://www.openssl.org/ for more information about it) and is
+ * a drop-in SuperSPARC ISA replacement for crypto/bn/bn_asm.c
+ * module. For updates see http://fy.chalmers.se/~appro/hpe/.
+ *
+ * See bn_asm.sparc.v8plus.S for more details.
+ */
+
+/*
+ * Revision history.
+ *
+ * 1.1 - new loop unrolling model(*);
+ * 1.2 - made gas friendly;
+ * 1.3 - fixed problem with /usr/ccs/lib/cpp;
+ * 1.4 - some retunes;
+ *
+ * (*) see bn_asm.sparc.v8plus.S for details
+ */
+
+.section ".text",#alloc,#execinstr
+.file "bn_asm.sparc.v8.S"
+
+.align 32
+
+.global bn_mul_add_words
+/*
+ * BN_ULONG bn_mul_add_words(rp,ap,num,w)
+ * BN_ULONG *rp,*ap;
+ * int num;
+ * BN_ULONG w;
+ */
+bn_mul_add_words:
+ cmp %o2,0
+ bg,a .L_bn_mul_add_words_proceed
+ ld [%o1],%g2
+ retl
+ clr %o0
+
+.L_bn_mul_add_words_proceed:
+ andcc %o2,-4,%g0
+ bz .L_bn_mul_add_words_tail
+ clr %o5
+
+.L_bn_mul_add_words_loop:
+ ld [%o0],%o4
+ ld [%o1+4],%g3
+ umul %o3,%g2,%g2
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g2,%o4
+ st %o4,[%o0]
+ addx %g1,0,%o5
+
+ ld [%o0+4],%o4
+ ld [%o1+8],%g2
+ umul %o3,%g3,%g3
+ dec 4,%o2
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g3,%o4
+ st %o4,[%o0+4]
+ addx %g1,0,%o5
+
+ ld [%o0+8],%o4
+ ld [%o1+12],%g3
+ umul %o3,%g2,%g2
+ inc 16,%o1
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g2,%o4
+ st %o4,[%o0+8]
+ addx %g1,0,%o5
+
+ ld [%o0+12],%o4
+ umul %o3,%g3,%g3
+ inc 16,%o0
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g3,%o4
+ st %o4,[%o0-4]
+ addx %g1,0,%o5
+ andcc %o2,-4,%g0
+ bnz,a .L_bn_mul_add_words_loop
+ ld [%o1],%g2
+
+ tst %o2
+ bnz,a .L_bn_mul_add_words_tail
+ ld [%o1],%g2
+.L_bn_mul_add_words_return:
+ retl
+ mov %o5,%o0
+ nop
+
+.L_bn_mul_add_words_tail:
+ ld [%o0],%o4
+ umul %o3,%g2,%g2
+ addcc %o4,%o5,%o4
+ rd %y,%g1
+ addx %g1,0,%g1
+ addcc %o4,%g2,%o4
+ addx %g1,0,%o5
+ deccc %o2
+ bz .L_bn_mul_add_words_return
+ st %o4,[%o0]
+
+ ld [%o1+4],%g2
+ ld [%o0+4],%o4
+ umul %o3,%g2,%g2
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g2,%o4
+ addx %g1,0,%o5
+ deccc %o2
+ bz .L_bn_mul_add_words_return
+ st %o4,[%o0+4]
+
+ ld [%o1+8],%g2
+ ld [%o0+8],%o4
+ umul %o3,%g2,%g2
+ rd %y,%g1
+ addcc %o4,%o5,%o4
+ addx %g1,0,%g1
+ addcc %o4,%g2,%o4
+ st %o4,[%o0+8]
+ retl
+ addx %g1,0,%o0
+
+.type bn_mul_add_words,#function
+.size bn_mul_add_words,(.-bn_mul_add_words)
+
+.align 32
+
+.global bn_mul_words
+/*
+ * BN_ULONG bn_mul_words(rp,ap,num,w)
+ * BN_ULONG *rp,*ap;
+ * int num;
+ * BN_ULONG w;
+ */
+bn_mul_words:
+ cmp %o2,0
+ bg,a .L_bn_mul_words_proceeed
+ ld [%o1],%g2
+ retl
+ clr %o0
+
+.L_bn_mul_words_proceeed:
+ andcc %o2,-4,%g0
+ bz .L_bn_mul_words_tail
+ clr %o5
+
+.L_bn_mul_words_loop:
+ ld [%o1+4],%g3
+ umul %o3,%g2,%g2
+ addcc %g2,%o5,%g2
+ rd %y,%g1
+ addx %g1,0,%o5
+ st %g2,[%o0]
+
+ ld [%o1+8],%g2
+ umul %o3,%g3,%g3
+ addcc %g3,%o5,%g3
+ rd %y,%g1
+ dec 4,%o2
+ addx %g1,0,%o5
+ st %g3,[%o0+4]
+
+ ld [%o1+12],%g3
+ umul %o3,%g2,%g2
+ addcc %g2,%o5,%g2
+ rd %y,%g1
+ inc 16,%o1
+ st %g2,[%o0+8]
+ addx %g1,0,%o5
+
+ umul %o3,%g3,%g3
+ addcc %g3,%o5,%g3
+ rd %y,%g1
+ inc 16,%o0
+ addx %g1,0,%o5
+ st %g3,[%o0-4]
+ andcc %o2,-4,%g0
+ nop
+ bnz,a .L_bn_mul_words_loop
+ ld [%o1],%g2
+
+ tst %o2
+ bnz,a .L_bn_mul_words_tail
+ ld [%o1],%g2
+.L_bn_mul_words_return:
+ retl
+ mov %o5,%o0
+ nop
+
+.L_bn_mul_words_tail:
+ umul %o3,%g2,%g2
+ addcc %g2,%o5,%g2
+ rd %y,%g1
+ addx %g1,0,%o5
+ deccc %o2
+ bz .L_bn_mul_words_return
+ st %g2,[%o0]
+ nop
+
+ ld [%o1+4],%g2
+ umul %o3,%g2,%g2
+ addcc %g2,%o5,%g2
+ rd %y,%g1
+ addx %g1,0,%o5
+ deccc %o2
+ bz .L_bn_mul_words_return
+ st %g2,[%o0+4]
+
+ ld [%o1+8],%g2
+ umul %o3,%g2,%g2
+ addcc %g2,%o5,%g2
+ rd %y,%g1
+ st %g2,[%o0+8]
+ retl
+ addx %g1,0,%o0
+
+.type bn_mul_words,#function
+.size bn_mul_words,(.-bn_mul_words)
+
+.align 32
+.global bn_sqr_words
+/*
+ * void bn_sqr_words(r,a,n)
+ * BN_ULONG *r,*a;
+ * int n;
+ */
+bn_sqr_words:
+ cmp %o2,0
+ bg,a .L_bn_sqr_words_proceeed
+ ld [%o1],%g2
+ retl
+ clr %o0
+
+.L_bn_sqr_words_proceeed:
+ andcc %o2,-4,%g0
+ bz .L_bn_sqr_words_tail
+ clr %o5
+
+.L_bn_sqr_words_loop:
+ ld [%o1+4],%g3
+ umul %g2,%g2,%o4
+ st %o4,[%o0]
+ rd %y,%o5
+ st %o5,[%o0+4]
+
+ ld [%o1+8],%g2
+ umul %g3,%g3,%o4
+ dec 4,%o2
+ st %o4,[%o0+8]
+ rd %y,%o5
+ st %o5,[%o0+12]
+ nop
+
+ ld [%o1+12],%g3
+ umul %g2,%g2,%o4
+ st %o4,[%o0+16]
+ rd %y,%o5
+ inc 16,%o1
+ st %o5,[%o0+20]
+
+ umul %g3,%g3,%o4
+ inc 32,%o0
+ st %o4,[%o0-8]
+ rd %y,%o5
+ st %o5,[%o0-4]
+ andcc %o2,-4,%g2
+ bnz,a .L_bn_sqr_words_loop
+ ld [%o1],%g2
+
+ tst %o2
+ nop
+ bnz,a .L_bn_sqr_words_tail
+ ld [%o1],%g2
+.L_bn_sqr_words_return:
+ retl
+ clr %o0
+
+.L_bn_sqr_words_tail:
+ umul %g2,%g2,%o4
+ st %o4,[%o0]
+ deccc %o2
+ rd %y,%o5
+ bz .L_bn_sqr_words_return
+ st %o5,[%o0+4]
+
+ ld [%o1+4],%g2
+ umul %g2,%g2,%o4
+ st %o4,[%o0+8]
+ deccc %o2
+ rd %y,%o5
+ nop
+ bz .L_bn_sqr_words_return
+ st %o5,[%o0+12]
+
+ ld [%o1+8],%g2
+ umul %g2,%g2,%o4
+ st %o4,[%o0+16]
+ rd %y,%o5
+ st %o5,[%o0+20]
+ retl
+ clr %o0
+
+.type bn_sqr_words,#function
+.size bn_sqr_words,(.-bn_sqr_words)
+
+.align 32
+
+.global bn_div_words
+/*
+ * BN_ULONG bn_div_words(h,l,d)
+ * BN_ULONG h,l,d;
+ */
+bn_div_words:
+ wr %o0,%y
+ udiv %o1,%o2,%o0
+ retl
+ nop
+
+.type bn_div_words,#function
+.size bn_div_words,(.-bn_div_words)
+
+.align 32
+
+.global bn_add_words
+/*
+ * BN_ULONG bn_add_words(rp,ap,bp,n)
+ * BN_ULONG *rp,*ap,*bp;
+ * int n;
+ */
+bn_add_words:
+ cmp %o3,0
+ bg,a .L_bn_add_words_proceed
+ ld [%o1],%o4
+ retl
+ clr %o0
+
+.L_bn_add_words_proceed:
+ andcc %o3,-4,%g0
+ bz .L_bn_add_words_tail
+ clr %g1
+ ba .L_bn_add_words_warn_loop
+ addcc %g0,0,%g0 ! clear carry flag
+
+.L_bn_add_words_loop:
+ ld [%o1],%o4
+.L_bn_add_words_warn_loop:
+ ld [%o2],%o5
+ ld [%o1+4],%g3
+ ld [%o2+4],%g4
+ dec 4,%o3
+ addxcc %o5,%o4,%o5
+ st %o5,[%o0]
+
+ ld [%o1+8],%o4
+ ld [%o2+8],%o5
+ inc 16,%o1
+ addxcc %g3,%g4,%g3
+ st %g3,[%o0+4]
+
+ ld [%o1-4],%g3
+ ld [%o2+12],%g4
+ inc 16,%o2
+ addxcc %o5,%o4,%o5
+ st %o5,[%o0+8]
+
+ inc 16,%o0
+ addxcc %g3,%g4,%g3
+ st %g3,[%o0-4]
+ addx %g0,0,%g1
+ andcc %o3,-4,%g0
+ bnz,a .L_bn_add_words_loop
+ addcc %g1,-1,%g0
+
+ tst %o3
+ bnz,a .L_bn_add_words_tail
+ ld [%o1],%o4
+.L_bn_add_words_return:
+ retl
+ mov %g1,%o0
+
+.L_bn_add_words_tail:
+ addcc %g1,-1,%g0
+ ld [%o2],%o5
+ addxcc %o5,%o4,%o5
+ addx %g0,0,%g1
+ deccc %o3
+ bz .L_bn_add_words_return
+ st %o5,[%o0]
+
+ ld [%o1+4],%o4
+ addcc %g1,-1,%g0
+ ld [%o2+4],%o5
+ addxcc %o5,%o4,%o5
+ addx %g0,0,%g1
+ deccc %o3
+ bz .L_bn_add_words_return
+ st %o5,[%o0+4]
+
+ ld [%o1+8],%o4
+ addcc %g1,-1,%g0
+ ld [%o2+8],%o5
+ addxcc %o5,%o4,%o5
+ st %o5,[%o0+8]
+ retl
+ addx %g0,0,%o0
+
+.type bn_add_words,#function
+.size bn_add_words,(.-bn_add_words)
+
+.align 32
+
+.global bn_sub_words
+/*
+ * BN_ULONG bn_sub_words(rp,ap,bp,n)
+ * BN_ULONG *rp,*ap,*bp;
+ * int n;
+ */
+bn_sub_words:
+ cmp %o3,0
+ bg,a .L_bn_sub_words_proceed
+ ld [%o1],%o4
+ retl
+ clr %o0
+
+.L_bn_sub_words_proceed:
+ andcc %o3,-4,%g0
+ bz .L_bn_sub_words_tail
+ clr %g1
+ ba .L_bn_sub_words_warm_loop
+ addcc %g0,0,%g0 ! clear carry flag
+
+.L_bn_sub_words_loop:
+ ld [%o1],%o4
+.L_bn_sub_words_warm_loop:
+ ld [%o2],%o5
+ ld [%o1+4],%g3
+ ld [%o2+4],%g4
+ dec 4,%o3
+ subxcc %o4,%o5,%o5
+ st %o5,[%o0]
+
+ ld [%o1+8],%o4
+ ld [%o2+8],%o5
+ inc 16,%o1
+ subxcc %g3,%g4,%g4
+ st %g4,[%o0+4]
+
+ ld [%o1-4],%g3
+ ld [%o2+12],%g4
+ inc 16,%o2
+ subxcc %o4,%o5,%o5
+ st %o5,[%o0+8]
+
+ inc 16,%o0
+ subxcc %g3,%g4,%g4
+ st %g4,[%o0-4]
+ addx %g0,0,%g1
+ andcc %o3,-4,%g0
+ bnz,a .L_bn_sub_words_loop
+ addcc %g1,-1,%g0
+
+ tst %o3
+ nop
+ bnz,a .L_bn_sub_words_tail
+ ld [%o1],%o4
+.L_bn_sub_words_return:
+ retl
+ mov %g1,%o0
+
+.L_bn_sub_words_tail:
+ addcc %g1,-1,%g0
+ ld [%o2],%o5
+ subxcc %o4,%o5,%o5
+ addx %g0,0,%g1
+ deccc %o3
+ bz .L_bn_sub_words_return
+ st %o5,[%o0]
+ nop
+
+ ld [%o1+4],%o4
+ addcc %g1,-1,%g0
+ ld [%o2+4],%o5
+ subxcc %o4,%o5,%o5
+ addx %g0,0,%g1
+ deccc %o3
+ bz .L_bn_sub_words_return
+ st %o5,[%o0+4]
+
+ ld [%o1+8],%o4
+ addcc %g1,-1,%g0
+ ld [%o2+8],%o5
+ subxcc %o4,%o5,%o5
+ st %o5,[%o0+8]
+ retl
+ addx %g0,0,%o0
+
+.type bn_sub_words,#function
+.size bn_sub_words,(.-bn_sub_words)
+
+#define FRAME_SIZE -96
+
+/*
+ * Here is register usage map for *all* routines below.
+ */
+#define t_1 %o0
+#define t_2 %o1
+#define c_1 %o2
+#define c_2 %o3
+#define c_3 %o4
+
+#define ap(I) [%i1+4*I]
+#define bp(I) [%i2+4*I]
+#define rp(I) [%i0+4*I]
+
+#define a_0 %l0
+#define a_1 %l1
+#define a_2 %l2
+#define a_3 %l3
+#define a_4 %l4
+#define a_5 %l5
+#define a_6 %l6
+#define a_7 %l7
+
+#define b_0 %i3
+#define b_1 %i4
+#define b_2 %i5
+#define b_3 %o5
+#define b_4 %g1
+#define b_5 %g2
+#define b_6 %g3
+#define b_7 %g4
+
+.align 32
+.global bn_mul_comba8
+/*
+ * void bn_mul_comba8(r,a,b)
+ * BN_ULONG *r,*a,*b;
+ */
+bn_mul_comba8:
+ save %sp,FRAME_SIZE,%sp
+ ld ap(0),a_0
+ ld bp(0),b_0
+ umul a_0,b_0,c_1 !=!mul_add_c(a[0],b[0],c1,c2,c3);
+ ld bp(1),b_1
+ rd %y,c_2
+ st c_1,rp(0) !r[0]=c1;
+
+ umul a_0,b_1,t_1 !=!mul_add_c(a[0],b[1],c2,c3,c1);
+ ld ap(1),a_1
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc %g0,t_2,c_3 !=
+ addx %g0,%g0,c_1
+ ld ap(2),a_2
+ umul a_1,b_0,t_1 !mul_add_c(a[1],b[0],c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ st c_2,rp(1) !r[1]=c2;
+ addx c_1,%g0,c_1 !=
+
+ umul a_2,b_0,t_1 !mul_add_c(a[2],b[0],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx %g0,%g0,c_2
+ ld bp(2),b_2
+ umul a_1,b_1,t_1 !mul_add_c(a[1],b[1],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ ld bp(3),b_3
+ addx c_2,%g0,c_2 !=
+ umul a_0,b_2,t_1 !mul_add_c(a[0],b[2],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ st c_3,rp(2) !r[2]=c3;
+
+ umul a_0,b_3,t_1 !mul_add_c(a[0],b[3],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3
+ umul a_1,b_2,t_1 !=!mul_add_c(a[1],b[2],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ ld ap(3),a_3
+ umul a_2,b_1,t_1 !mul_add_c(a[2],b[1],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ ld ap(4),a_4
+ umul a_3,b_0,t_1 !mul_add_c(a[3],b[0],c1,c2,c3);!=
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(3) !r[3]=c1;
+
+ umul a_4,b_0,t_1 !mul_add_c(a[4],b[0],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ umul a_3,b_1,t_1 !mul_add_c(a[3],b[1],c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ umul a_2,b_2,t_1 !=!mul_add_c(a[2],b[2],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ ld bp(4),b_4
+ umul a_1,b_3,t_1 !mul_add_c(a[1],b[3],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ ld bp(5),b_5
+ umul a_0,b_4,t_1 !=!mul_add_c(a[0],b[4],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ st c_2,rp(4) !r[4]=c2;
+
+ umul a_0,b_5,t_1 !mul_add_c(a[0],b[5],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ umul a_1,b_4,t_1 !mul_add_c(a[1],b[4],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_2,b_3,t_1 !=!mul_add_c(a[2],b[3],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ umul a_3,b_2,t_1 !mul_add_c(a[3],b[2],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ ld ap(5),a_5
+ umul a_4,b_1,t_1 !mul_add_c(a[4],b[1],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ ld ap(6),a_6
+ addx c_2,%g0,c_2 !=
+ umul a_5,b_0,t_1 !mul_add_c(a[5],b[0],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ st c_3,rp(5) !r[5]=c3;
+
+ umul a_6,b_0,t_1 !mul_add_c(a[6],b[0],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3
+ umul a_5,b_1,t_1 !=!mul_add_c(a[5],b[1],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_4,b_2,t_1 !mul_add_c(a[4],b[2],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ umul a_3,b_3,t_1 !mul_add_c(a[3],b[3],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_2,b_4,t_1 !mul_add_c(a[2],b[4],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ ld bp(6),b_6
+ addx c_3,%g0,c_3 !=
+ umul a_1,b_5,t_1 !mul_add_c(a[1],b[5],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ ld bp(7),b_7
+ umul a_0,b_6,t_1 !mul_add_c(a[0],b[6],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ st c_1,rp(6) !r[6]=c1;
+ addx c_3,%g0,c_3 !=
+
+ umul a_0,b_7,t_1 !mul_add_c(a[0],b[7],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3 !=
+ addx %g0,%g0,c_1
+ umul a_1,b_6,t_1 !mul_add_c(a[1],b[6],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ umul a_2,b_5,t_1 !mul_add_c(a[2],b[5],c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ umul a_3,b_4,t_1 !=!mul_add_c(a[3],b[4],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ umul a_4,b_3,t_1 !mul_add_c(a[4],b[3],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_5,b_2,t_1 !mul_add_c(a[5],b[2],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ ld ap(7),a_7
+ umul a_6,b_1,t_1 !=!mul_add_c(a[6],b[1],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ umul a_7,b_0,t_1 !mul_add_c(a[7],b[0],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ st c_2,rp(7) !r[7]=c2;
+
+ umul a_7,b_1,t_1 !mul_add_c(a[7],b[1],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ umul a_6,b_2,t_1 !=!mul_add_c(a[6],b[2],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ umul a_5,b_3,t_1 !mul_add_c(a[5],b[3],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ umul a_4,b_4,t_1 !mul_add_c(a[4],b[4],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_3,b_5,t_1 !mul_add_c(a[3],b[5],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_2,b_6,t_1 !=!mul_add_c(a[2],b[6],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ umul a_1,b_7,t_1 !mul_add_c(a[1],b[7],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !
+ addx c_2,%g0,c_2
+ st c_3,rp(8) !r[8]=c3;
+
+ umul a_2,b_7,t_1 !mul_add_c(a[2],b[7],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3
+ umul a_3,b_6,t_1 !=!mul_add_c(a[3],b[6],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_4,b_5,t_1 !mul_add_c(a[4],b[5],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ umul a_5,b_4,t_1 !mul_add_c(a[5],b[4],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_6,b_3,t_1 !mul_add_c(a[6],b[3],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_7,b_2,t_1 !=!mul_add_c(a[7],b[2],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(9) !r[9]=c1;
+
+ umul a_7,b_3,t_1 !mul_add_c(a[7],b[3],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ umul a_6,b_4,t_1 !mul_add_c(a[6],b[4],c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ umul a_5,b_5,t_1 !=!mul_add_c(a[5],b[5],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ umul a_4,b_6,t_1 !mul_add_c(a[4],b[6],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_3,b_7,t_1 !mul_add_c(a[3],b[7],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ st c_2,rp(10) !r[10]=c2;
+
+ umul a_4,b_7,t_1 !=!mul_add_c(a[4],b[7],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2 !=
+ umul a_5,b_6,t_1 !mul_add_c(a[5],b[6],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ umul a_6,b_5,t_1 !mul_add_c(a[6],b[5],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_7,b_4,t_1 !mul_add_c(a[7],b[4],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ st c_3,rp(11) !r[11]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_7,b_5,t_1 !mul_add_c(a[7],b[5],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx %g0,%g0,c_3
+ umul a_6,b_6,t_1 !mul_add_c(a[6],b[6],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_5,b_7,t_1 !mul_add_c(a[5],b[7],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ st c_1,rp(12) !r[12]=c1;
+ addx c_3,%g0,c_3 !=
+
+ umul a_6,b_7,t_1 !mul_add_c(a[6],b[7],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3 !=
+ addx %g0,%g0,c_1
+ umul a_7,b_6,t_1 !mul_add_c(a[7],b[6],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ st c_2,rp(13) !r[13]=c2;
+
+ umul a_7,b_7,t_1 !=!mul_add_c(a[7],b[7],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ nop !=
+ st c_3,rp(14) !r[14]=c3;
+ st c_1,rp(15) !r[15]=c1;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_mul_comba8,#function
+.size bn_mul_comba8,(.-bn_mul_comba8)
+
+.align 32
+
+.global bn_mul_comba4
+/*
+ * void bn_mul_comba4(r,a,b)
+ * BN_ULONG *r,*a,*b;
+ */
+bn_mul_comba4:
+ save %sp,FRAME_SIZE,%sp
+ ld ap(0),a_0
+ ld bp(0),b_0
+ umul a_0,b_0,c_1 !=!mul_add_c(a[0],b[0],c1,c2,c3);
+ ld bp(1),b_1
+ rd %y,c_2
+ st c_1,rp(0) !r[0]=c1;
+
+ umul a_0,b_1,t_1 !=!mul_add_c(a[0],b[1],c2,c3,c1);
+ ld ap(1),a_1
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc %g0,t_2,c_3
+ addx %g0,%g0,c_1
+ ld ap(2),a_2
+ umul a_1,b_0,t_1 !=!mul_add_c(a[1],b[0],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ st c_2,rp(1) !r[1]=c2;
+
+ umul a_2,b_0,t_1 !mul_add_c(a[2],b[0],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ ld bp(2),b_2
+ umul a_1,b_1,t_1 !=!mul_add_c(a[1],b[1],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ ld bp(3),b_3
+ umul a_0,b_2,t_1 !mul_add_c(a[0],b[2],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ st c_3,rp(2) !r[2]=c3;
+
+ umul a_0,b_3,t_1 !=!mul_add_c(a[0],b[3],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3 !=
+ umul a_1,b_2,t_1 !mul_add_c(a[1],b[2],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ ld ap(3),a_3
+ umul a_2,b_1,t_1 !mul_add_c(a[2],b[1],c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_3,b_0,t_1 !=!mul_add_c(a[3],b[0],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(3) !r[3]=c1;
+
+ umul a_3,b_1,t_1 !mul_add_c(a[3],b[1],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ umul a_2,b_2,t_1 !mul_add_c(a[2],b[2],c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ umul a_1,b_3,t_1 !=!mul_add_c(a[1],b[3],c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ st c_2,rp(4) !r[4]=c2;
+
+ umul a_2,b_3,t_1 !mul_add_c(a[2],b[3],c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ umul a_3,b_2,t_1 !mul_add_c(a[3],b[2],c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ st c_3,rp(5) !r[5]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_3,b_3,t_1 !mul_add_c(a[3],b[3],c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ st c_1,rp(6) !r[6]=c1;
+ st c_2,rp(7) !r[7]=c2;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_mul_comba4,#function
+.size bn_mul_comba4,(.-bn_mul_comba4)
+
+.align 32
+
+.global bn_sqr_comba8
+bn_sqr_comba8:
+ save %sp,FRAME_SIZE,%sp
+ ld ap(0),a_0
+ ld ap(1),a_1
+ umul a_0,a_0,c_1 !=!sqr_add_c(a,0,c1,c2,c3);
+ rd %y,c_2
+ st c_1,rp(0) !r[0]=c1;
+
+ ld ap(2),a_2
+ umul a_0,a_1,t_1 !=!sqr_add_c2(a,1,0,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc %g0,t_2,c_3
+ addx %g0,%g0,c_1 !=
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3
+ st c_2,rp(1) !r[1]=c2;
+ addx c_1,%g0,c_1 !=
+
+ umul a_2,a_0,t_1 !sqr_add_c2(a,2,0,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx %g0,%g0,c_2
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ ld ap(3),a_3
+ umul a_1,a_1,t_1 !sqr_add_c(a,1,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ st c_3,rp(2) !r[2]=c3;
+
+ umul a_0,a_3,t_1 !=!sqr_add_c2(a,3,0,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3 !=
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ ld ap(4),a_4
+ addx c_3,%g0,c_3 !=
+ umul a_1,a_2,t_1 !sqr_add_c2(a,2,1,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(3) !r[3]=c1;
+
+ umul a_4,a_0,t_1 !sqr_add_c2(a,4,0,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_3,a_1,t_1 !sqr_add_c2(a,3,1,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ ld ap(5),a_5
+ umul a_2,a_2,t_1 !sqr_add_c(a,2,c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ st c_2,rp(4) !r[4]=c2;
+ addx c_1,%g0,c_1 !=
+
+ umul a_0,a_5,t_1 !sqr_add_c2(a,5,0,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx %g0,%g0,c_2
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ umul a_1,a_4,t_1 !sqr_add_c2(a,4,1,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ ld ap(6),a_6
+ umul a_2,a_3,t_1 !sqr_add_c2(a,3,2,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ st c_3,rp(5) !r[5]=c3;
+
+ umul a_6,a_0,t_1 !sqr_add_c2(a,6,0,c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx %g0,%g0,c_3
+ addcc c_1,t_1,c_1 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_5,a_1,t_1 !sqr_add_c2(a,5,1,c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ umul a_4,a_2,t_1 !sqr_add_c2(a,4,2,c1,c2,c3);
+ addcc c_1,t_1,c_1 !=
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1 !=
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3
+ ld ap(7),a_7
+ umul a_3,a_3,t_1 !=!sqr_add_c(a,3,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(6) !r[6]=c1;
+
+ umul a_0,a_7,t_1 !sqr_add_c2(a,7,0,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_1,a_6,t_1 !sqr_add_c2(a,6,1,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_2,a_5,t_1 !sqr_add_c2(a,5,2,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_3,a_4,t_1 !sqr_add_c2(a,4,3,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ st c_2,rp(7) !r[7]=c2;
+
+ umul a_7,a_1,t_1 !sqr_add_c2(a,7,1,c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ addcc c_3,t_1,c_3 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_6,a_2,t_1 !sqr_add_c2(a,6,2,c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ addcc c_3,t_1,c_3 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_5,a_3,t_1 !sqr_add_c2(a,5,3,c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ addcc c_3,t_1,c_3 !=
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_4,a_4,t_1 !sqr_add_c(a,4,c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ st c_3,rp(8) !r[8]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_2,a_7,t_1 !sqr_add_c2(a,7,2,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx %g0,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_3,a_6,t_1 !sqr_add_c2(a,6,3,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_4,a_5,t_1 !sqr_add_c2(a,5,4,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(9) !r[9]=c1;
+
+ umul a_7,a_3,t_1 !sqr_add_c2(a,7,3,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_6,a_4,t_1 !sqr_add_c2(a,6,4,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_5,a_5,t_1 !sqr_add_c(a,5,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ st c_2,rp(10) !r[10]=c2;
+
+ umul a_4,a_7,t_1 !=!sqr_add_c2(a,7,4,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2 !=
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2
+ umul a_5,a_6,t_1 !=!sqr_add_c2(a,6,5,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx c_2,%g0,c_2 !=
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ st c_3,rp(11) !r[11]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_7,a_5,t_1 !sqr_add_c2(a,7,5,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx %g0,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_6,a_6,t_1 !sqr_add_c(a,6,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ st c_1,rp(12) !r[12]=c1;
+
+ umul a_6,a_7,t_1 !sqr_add_c2(a,7,6,c2,c3,c1);
+ addcc c_2,t_1,c_2 !=
+ rd %y,t_2
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ addcc c_2,t_1,c_2 !=
+ addxcc c_3,t_2,c_3
+ st c_2,rp(13) !r[13]=c2;
+ addx c_1,%g0,c_1 !=
+
+ umul a_7,a_7,t_1 !sqr_add_c(a,7,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1 !=
+ st c_3,rp(14) !r[14]=c3;
+ st c_1,rp(15) !r[15]=c1;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_sqr_comba8,#function
+.size bn_sqr_comba8,(.-bn_sqr_comba8)
+
+.align 32
+
+.global bn_sqr_comba4
+/*
+ * void bn_sqr_comba4(r,a)
+ * BN_ULONG *r,*a;
+ */
+bn_sqr_comba4:
+ save %sp,FRAME_SIZE,%sp
+ ld ap(0),a_0
+ umul a_0,a_0,c_1 !sqr_add_c(a,0,c1,c2,c3);
+ ld ap(1),a_1 !=
+ rd %y,c_2
+ st c_1,rp(0) !r[0]=c1;
+
+ ld ap(2),a_2
+ umul a_0,a_1,t_1 !=!sqr_add_c2(a,1,0,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2
+ addxcc %g0,t_2,c_3
+ addx %g0,%g0,c_1 !=
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1 !=
+ st c_2,rp(1) !r[1]=c2;
+
+ umul a_2,a_0,t_1 !sqr_add_c2(a,2,0,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2 !=
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1 !=
+ addx c_2,%g0,c_2
+ ld ap(3),a_3
+ umul a_1,a_1,t_1 !sqr_add_c(a,1,c3,c1,c2);
+ addcc c_3,t_1,c_3 !=
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ st c_3,rp(2) !r[2]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_0,a_3,t_1 !sqr_add_c2(a,3,0,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx %g0,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ umul a_1,a_2,t_1 !sqr_add_c2(a,2,1,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ addx c_3,%g0,c_3
+ addcc c_1,t_1,c_1
+ addxcc c_2,t_2,c_2
+ addx c_3,%g0,c_3 !=
+ st c_1,rp(3) !r[3]=c1;
+
+ umul a_3,a_1,t_1 !sqr_add_c2(a,3,1,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx %g0,%g0,c_1
+ addcc c_2,t_1,c_2
+ addxcc c_3,t_2,c_3 !=
+ addx c_1,%g0,c_1
+ umul a_2,a_2,t_1 !sqr_add_c(a,2,c2,c3,c1);
+ addcc c_2,t_1,c_2
+ rd %y,t_2 !=
+ addxcc c_3,t_2,c_3
+ addx c_1,%g0,c_1
+ st c_2,rp(4) !r[4]=c2;
+
+ umul a_2,a_3,t_1 !=!sqr_add_c2(a,3,2,c3,c1,c2);
+ addcc c_3,t_1,c_3
+ rd %y,t_2
+ addxcc c_1,t_2,c_1
+ addx %g0,%g0,c_2 !=
+ addcc c_3,t_1,c_3
+ addxcc c_1,t_2,c_1
+ st c_3,rp(5) !r[5]=c3;
+ addx c_2,%g0,c_2 !=
+
+ umul a_3,a_3,t_1 !sqr_add_c(a,3,c1,c2,c3);
+ addcc c_1,t_1,c_1
+ rd %y,t_2
+ addxcc c_2,t_2,c_2 !=
+ st c_1,rp(6) !r[6]=c1;
+ st c_2,rp(7) !r[7]=c2;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_sqr_comba4,#function
+.size bn_sqr_comba4,(.-bn_sqr_comba4)
+
+.align 32
diff --git a/openssl/crypto/bn/asm/sparcv8plus.S b/openssl/crypto/bn/asm/sparcv8plus.S
new file mode 100644
index 00000000..63de1860
--- /dev/null
+++ b/openssl/crypto/bn/asm/sparcv8plus.S
@@ -0,0 +1,1558 @@
+.ident "sparcv8plus.s, Version 1.4"
+.ident "SPARC v9 ISA artwork by Andy Polyakov <appro@fy.chalmers.se>"
+
+/*
+ * ====================================================================
+ * Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * project.
+ *
+ * Rights for redistribution and usage in source and binary forms are
+ * granted according to the OpenSSL license. Warranty of any kind is
+ * disclaimed.
+ * ====================================================================
+ */
+
+/*
+ * This is my modest contributon to OpenSSL project (see
+ * http://www.openssl.org/ for more information about it) and is
+ * a drop-in UltraSPARC ISA replacement for crypto/bn/bn_asm.c
+ * module. For updates see http://fy.chalmers.se/~appro/hpe/.
+ *
+ * Questions-n-answers.
+ *
+ * Q. How to compile?
+ * A. With SC4.x/SC5.x:
+ *
+ * cc -xarch=v8plus -c bn_asm.sparc.v8plus.S -o bn_asm.o
+ *
+ * and with gcc:
+ *
+ * gcc -mcpu=ultrasparc -c bn_asm.sparc.v8plus.S -o bn_asm.o
+ *
+ * or if above fails (it does if you have gas installed):
+ *
+ * gcc -E bn_asm.sparc.v8plus.S | as -xarch=v8plus /dev/fd/0 -o bn_asm.o
+ *
+ * Quick-n-dirty way to fuse the module into the library.
+ * Provided that the library is already configured and built
+ * (in 0.9.2 case with no-asm option):
+ *
+ * # cd crypto/bn
+ * # cp /some/place/bn_asm.sparc.v8plus.S .
+ * # cc -xarch=v8plus -c bn_asm.sparc.v8plus.S -o bn_asm.o
+ * # make
+ * # cd ../..
+ * # make; make test
+ *
+ * Quick-n-dirty way to get rid of it:
+ *
+ * # cd crypto/bn
+ * # touch bn_asm.c
+ * # make
+ * # cd ../..
+ * # make; make test
+ *
+ * Q. V8plus achitecture? What kind of beast is that?
+ * A. Well, it's rather a programming model than an architecture...
+ * It's actually v9-compliant, i.e. *any* UltraSPARC, CPU under
+ * special conditions, namely when kernel doesn't preserve upper
+ * 32 bits of otherwise 64-bit registers during a context switch.
+ *
+ * Q. Why just UltraSPARC? What about SuperSPARC?
+ * A. Original release did target UltraSPARC only. Now SuperSPARC
+ * version is provided along. Both version share bn_*comba[48]
+ * implementations (see comment later in code for explanation).
+ * But what's so special about this UltraSPARC implementation?
+ * Why didn't I let compiler do the job? Trouble is that most of
+ * available compilers (well, SC5.0 is the only exception) don't
+ * attempt to take advantage of UltraSPARC's 64-bitness under
+ * 32-bit kernels even though it's perfectly possible (see next
+ * question).
+ *
+ * Q. 64-bit registers under 32-bit kernels? Didn't you just say it
+ * doesn't work?
+ * A. You can't adress *all* registers as 64-bit wide:-( The catch is
+ * that you actually may rely upon %o0-%o5 and %g1-%g4 being fully
+ * preserved if you're in a leaf function, i.e. such never calling
+ * any other functions. All functions in this module are leaf and
+ * 10 registers is a handful. And as a matter of fact none-"comba"
+ * routines don't require even that much and I could even afford to
+ * not allocate own stack frame for 'em:-)
+ *
+ * Q. What about 64-bit kernels?
+ * A. What about 'em? Just kidding:-) Pure 64-bit version is currently
+ * under evaluation and development...
+ *
+ * Q. What about shared libraries?
+ * A. What about 'em? Kidding again:-) Code does *not* contain any
+ * code position dependencies and it's safe to include it into
+ * shared library as is.
+ *
+ * Q. How much faster does it go?
+ * A. Do you have a good benchmark? In either case below is what I
+ * experience with crypto/bn/expspeed.c test program:
+ *
+ * v8plus module on U10/300MHz against bn_asm.c compiled with:
+ *
+ * cc-5.0 -xarch=v8plus -xO5 -xdepend +7-12%
+ * cc-4.2 -xarch=v8plus -xO5 -xdepend +25-35%
+ * egcs-1.1.2 -mcpu=ultrasparc -O3 +35-45%
+ *
+ * v8 module on SS10/60MHz against bn_asm.c compiled with:
+ *
+ * cc-5.0 -xarch=v8 -xO5 -xdepend +7-10%
+ * cc-4.2 -xarch=v8 -xO5 -xdepend +10%
+ * egcs-1.1.2 -mv8 -O3 +35-45%
+ *
+ * As you can see it's damn hard to beat the new Sun C compiler
+ * and it's in first place GNU C users who will appreciate this
+ * assembler implementation:-)
+ */
+
+/*
+ * Revision history.
+ *
+ * 1.0 - initial release;
+ * 1.1 - new loop unrolling model(*);
+ * - some more fine tuning;
+ * 1.2 - made gas friendly;
+ * - updates to documentation concerning v9;
+ * - new performance comparison matrix;
+ * 1.3 - fixed problem with /usr/ccs/lib/cpp;
+ * 1.4 - native V9 bn_*_comba[48] implementation (15% more efficient)
+ * resulting in slight overall performance kick;
+ * - some retunes;
+ * - support for GNU as added;
+ *
+ * (*) Originally unrolled loop looked like this:
+ * for (;;) {
+ * op(p+0); if (--n==0) break;
+ * op(p+1); if (--n==0) break;
+ * op(p+2); if (--n==0) break;
+ * op(p+3); if (--n==0) break;
+ * p+=4;
+ * }
+ * I unroll according to following:
+ * while (n&~3) {
+ * op(p+0); op(p+1); op(p+2); op(p+3);
+ * p+=4; n=-4;
+ * }
+ * if (n) {
+ * op(p+0); if (--n==0) return;
+ * op(p+2); if (--n==0) return;
+ * op(p+3); return;
+ * }
+ */
+
+#if defined(__SUNPRO_C) && defined(__sparcv9)
+ /* They've said -xarch=v9 at command line */
+ .register %g2,#scratch
+ .register %g3,#scratch
+# define FRAME_SIZE -192
+#elif defined(__GNUC__) && defined(__arch64__)
+ /* They've said -m64 at command line */
+ .register %g2,#scratch
+ .register %g3,#scratch
+# define FRAME_SIZE -192
+#else
+# define FRAME_SIZE -96
+#endif
+/*
+ * GNU assembler can't stand stuw:-(
+ */
+#define stuw st
+
+.section ".text",#alloc,#execinstr
+.file "bn_asm.sparc.v8plus.S"
+
+.align 32
+
+.global bn_mul_add_words
+/*
+ * BN_ULONG bn_mul_add_words(rp,ap,num,w)
+ * BN_ULONG *rp,*ap;
+ * int num;
+ * BN_ULONG w;
+ */
+bn_mul_add_words:
+ sra %o2,%g0,%o2 ! signx %o2
+ brgz,a %o2,.L_bn_mul_add_words_proceed
+ lduw [%o1],%g2
+ retl
+ clr %o0
+ nop
+ nop
+ nop
+
+.L_bn_mul_add_words_proceed:
+ srl %o3,%g0,%o3 ! clruw %o3
+ andcc %o2,-4,%g0
+ bz,pn %icc,.L_bn_mul_add_words_tail
+ clr %o5
+
+.L_bn_mul_add_words_loop: ! wow! 32 aligned!
+ lduw [%o0],%g1
+ lduw [%o1+4],%g3
+ mulx %o3,%g2,%g2
+ add %g1,%o5,%o4
+ nop
+ add %o4,%g2,%o4
+ stuw %o4,[%o0]
+ srlx %o4,32,%o5
+
+ lduw [%o0+4],%g1
+ lduw [%o1+8],%g2
+ mulx %o3,%g3,%g3
+ add %g1,%o5,%o4
+ dec 4,%o2
+ add %o4,%g3,%o4
+ stuw %o4,[%o0+4]
+ srlx %o4,32,%o5
+
+ lduw [%o0+8],%g1
+ lduw [%o1+12],%g3
+ mulx %o3,%g2,%g2
+ add %g1,%o5,%o4
+ inc 16,%o1
+ add %o4,%g2,%o4
+ stuw %o4,[%o0+8]
+ srlx %o4,32,%o5
+
+ lduw [%o0+12],%g1
+ mulx %o3,%g3,%g3
+ add %g1,%o5,%o4
+ inc 16,%o0
+ add %o4,%g3,%o4
+ andcc %o2,-4,%g0
+ stuw %o4,[%o0-4]
+ srlx %o4,32,%o5
+ bnz,a,pt %icc,.L_bn_mul_add_words_loop
+ lduw [%o1],%g2
+
+ brnz,a,pn %o2,.L_bn_mul_add_words_tail
+ lduw [%o1],%g2
+.L_bn_mul_add_words_return:
+ retl
+ mov %o5,%o0
+
+.L_bn_mul_add_words_tail:
+ lduw [%o0],%g1
+ mulx %o3,%g2,%g2
+ add %g1,%o5,%o4
+ dec %o2
+ add %o4,%g2,%o4
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_mul_add_words_return
+ stuw %o4,[%o0]
+
+ lduw [%o1+4],%g2
+ lduw [%o0+4],%g1
+ mulx %o3,%g2,%g2
+ add %g1,%o5,%o4
+ dec %o2
+ add %o4,%g2,%o4
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_mul_add_words_return
+ stuw %o4,[%o0+4]
+
+ lduw [%o1+8],%g2
+ lduw [%o0+8],%g1
+ mulx %o3,%g2,%g2
+ add %g1,%o5,%o4
+ add %o4,%g2,%o4
+ stuw %o4,[%o0+8]
+ retl
+ srlx %o4,32,%o0
+
+.type bn_mul_add_words,#function
+.size bn_mul_add_words,(.-bn_mul_add_words)
+
+.align 32
+
+.global bn_mul_words
+/*
+ * BN_ULONG bn_mul_words(rp,ap,num,w)
+ * BN_ULONG *rp,*ap;
+ * int num;
+ * BN_ULONG w;
+ */
+bn_mul_words:
+ sra %o2,%g0,%o2 ! signx %o2
+ brgz,a %o2,.L_bn_mul_words_proceeed
+ lduw [%o1],%g2
+ retl
+ clr %o0
+ nop
+ nop
+ nop
+
+.L_bn_mul_words_proceeed:
+ srl %o3,%g0,%o3 ! clruw %o3
+ andcc %o2,-4,%g0
+ bz,pn %icc,.L_bn_mul_words_tail
+ clr %o5
+
+.L_bn_mul_words_loop: ! wow! 32 aligned!
+ lduw [%o1+4],%g3
+ mulx %o3,%g2,%g2
+ add %g2,%o5,%o4
+ nop
+ stuw %o4,[%o0]
+ srlx %o4,32,%o5
+
+ lduw [%o1+8],%g2
+ mulx %o3,%g3,%g3
+ add %g3,%o5,%o4
+ dec 4,%o2
+ stuw %o4,[%o0+4]
+ srlx %o4,32,%o5
+
+ lduw [%o1+12],%g3
+ mulx %o3,%g2,%g2
+ add %g2,%o5,%o4
+ inc 16,%o1
+ stuw %o4,[%o0+8]
+ srlx %o4,32,%o5
+
+ mulx %o3,%g3,%g3
+ add %g3,%o5,%o4
+ inc 16,%o0
+ stuw %o4,[%o0-4]
+ srlx %o4,32,%o5
+ andcc %o2,-4,%g0
+ bnz,a,pt %icc,.L_bn_mul_words_loop
+ lduw [%o1],%g2
+ nop
+ nop
+
+ brnz,a,pn %o2,.L_bn_mul_words_tail
+ lduw [%o1],%g2
+.L_bn_mul_words_return:
+ retl
+ mov %o5,%o0
+
+.L_bn_mul_words_tail:
+ mulx %o3,%g2,%g2
+ add %g2,%o5,%o4
+ dec %o2
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_mul_words_return
+ stuw %o4,[%o0]
+
+ lduw [%o1+4],%g2
+ mulx %o3,%g2,%g2
+ add %g2,%o5,%o4
+ dec %o2
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_mul_words_return
+ stuw %o4,[%o0+4]
+
+ lduw [%o1+8],%g2
+ mulx %o3,%g2,%g2
+ add %g2,%o5,%o4
+ stuw %o4,[%o0+8]
+ retl
+ srlx %o4,32,%o0
+
+.type bn_mul_words,#function
+.size bn_mul_words,(.-bn_mul_words)
+
+.align 32
+.global bn_sqr_words
+/*
+ * void bn_sqr_words(r,a,n)
+ * BN_ULONG *r,*a;
+ * int n;
+ */
+bn_sqr_words:
+ sra %o2,%g0,%o2 ! signx %o2
+ brgz,a %o2,.L_bn_sqr_words_proceeed
+ lduw [%o1],%g2
+ retl
+ clr %o0
+ nop
+ nop
+ nop
+
+.L_bn_sqr_words_proceeed:
+ andcc %o2,-4,%g0
+ nop
+ bz,pn %icc,.L_bn_sqr_words_tail
+ nop
+
+.L_bn_sqr_words_loop: ! wow! 32 aligned!
+ lduw [%o1+4],%g3
+ mulx %g2,%g2,%o4
+ stuw %o4,[%o0]
+ srlx %o4,32,%o5
+ stuw %o5,[%o0+4]
+ nop
+
+ lduw [%o1+8],%g2
+ mulx %g3,%g3,%o4
+ dec 4,%o2
+ stuw %o4,[%o0+8]
+ srlx %o4,32,%o5
+ stuw %o5,[%o0+12]
+
+ lduw [%o1+12],%g3
+ mulx %g2,%g2,%o4
+ srlx %o4,32,%o5
+ stuw %o4,[%o0+16]
+ inc 16,%o1
+ stuw %o5,[%o0+20]
+
+ mulx %g3,%g3,%o4
+ inc 32,%o0
+ stuw %o4,[%o0-8]
+ srlx %o4,32,%o5
+ andcc %o2,-4,%g2
+ stuw %o5,[%o0-4]
+ bnz,a,pt %icc,.L_bn_sqr_words_loop
+ lduw [%o1],%g2
+ nop
+
+ brnz,a,pn %o2,.L_bn_sqr_words_tail
+ lduw [%o1],%g2
+.L_bn_sqr_words_return:
+ retl
+ clr %o0
+
+.L_bn_sqr_words_tail:
+ mulx %g2,%g2,%o4
+ dec %o2
+ stuw %o4,[%o0]
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_sqr_words_return
+ stuw %o5,[%o0+4]
+
+ lduw [%o1+4],%g2
+ mulx %g2,%g2,%o4
+ dec %o2
+ stuw %o4,[%o0+8]
+ srlx %o4,32,%o5
+ brz,pt %o2,.L_bn_sqr_words_return
+ stuw %o5,[%o0+12]
+
+ lduw [%o1+8],%g2
+ mulx %g2,%g2,%o4
+ srlx %o4,32,%o5
+ stuw %o4,[%o0+16]
+ stuw %o5,[%o0+20]
+ retl
+ clr %o0
+
+.type bn_sqr_words,#function
+.size bn_sqr_words,(.-bn_sqr_words)
+
+.align 32
+.global bn_div_words
+/*
+ * BN_ULONG bn_div_words(h,l,d)
+ * BN_ULONG h,l,d;
+ */
+bn_div_words:
+ sllx %o0,32,%o0
+ or %o0,%o1,%o0
+ udivx %o0,%o2,%o0
+ retl
+ srl %o0,%g0,%o0 ! clruw %o0
+
+.type bn_div_words,#function
+.size bn_div_words,(.-bn_div_words)
+
+.align 32
+
+.global bn_add_words
+/*
+ * BN_ULONG bn_add_words(rp,ap,bp,n)
+ * BN_ULONG *rp,*ap,*bp;
+ * int n;
+ */
+bn_add_words:
+ sra %o3,%g0,%o3 ! signx %o3
+ brgz,a %o3,.L_bn_add_words_proceed
+ lduw [%o1],%o4
+ retl
+ clr %o0
+
+.L_bn_add_words_proceed:
+ andcc %o3,-4,%g0
+ bz,pn %icc,.L_bn_add_words_tail
+ addcc %g0,0,%g0 ! clear carry flag
+
+.L_bn_add_words_loop: ! wow! 32 aligned!
+ dec 4,%o3
+ lduw [%o2],%o5
+ lduw [%o1+4],%g1
+ lduw [%o2+4],%g2
+ lduw [%o1+8],%g3
+ lduw [%o2+8],%g4
+ addccc %o5,%o4,%o5
+ stuw %o5,[%o0]
+
+ lduw [%o1+12],%o4
+ lduw [%o2+12],%o5
+ inc 16,%o1
+ addccc %g1,%g2,%g1
+ stuw %g1,[%o0+4]
+
+ inc 16,%o2
+ addccc %g3,%g4,%g3
+ stuw %g3,[%o0+8]
+
+ inc 16,%o0
+ addccc %o5,%o4,%o5
+ stuw %o5,[%o0-4]
+ and %o3,-4,%g1
+ brnz,a,pt %g1,.L_bn_add_words_loop
+ lduw [%o1],%o4
+
+ brnz,a,pn %o3,.L_bn_add_words_tail
+ lduw [%o1],%o4
+.L_bn_add_words_return:
+ clr %o0
+ retl
+ movcs %icc,1,%o0
+ nop
+
+.L_bn_add_words_tail:
+ lduw [%o2],%o5
+ dec %o3
+ addccc %o5,%o4,%o5
+ brz,pt %o3,.L_bn_add_words_return
+ stuw %o5,[%o0]
+
+ lduw [%o1+4],%o4
+ lduw [%o2+4],%o5
+ dec %o3
+ addccc %o5,%o4,%o5
+ brz,pt %o3,.L_bn_add_words_return
+ stuw %o5,[%o0+4]
+
+ lduw [%o1+8],%o4
+ lduw [%o2+8],%o5
+ addccc %o5,%o4,%o5
+ stuw %o5,[%o0+8]
+ clr %o0
+ retl
+ movcs %icc,1,%o0
+
+.type bn_add_words,#function
+.size bn_add_words,(.-bn_add_words)
+
+.global bn_sub_words
+/*
+ * BN_ULONG bn_sub_words(rp,ap,bp,n)
+ * BN_ULONG *rp,*ap,*bp;
+ * int n;
+ */
+bn_sub_words:
+ sra %o3,%g0,%o3 ! signx %o3
+ brgz,a %o3,.L_bn_sub_words_proceed
+ lduw [%o1],%o4
+ retl
+ clr %o0
+
+.L_bn_sub_words_proceed:
+ andcc %o3,-4,%g0
+ bz,pn %icc,.L_bn_sub_words_tail
+ addcc %g0,0,%g0 ! clear carry flag
+
+.L_bn_sub_words_loop: ! wow! 32 aligned!
+ dec 4,%o3
+ lduw [%o2],%o5
+ lduw [%o1+4],%g1
+ lduw [%o2+4],%g2
+ lduw [%o1+8],%g3
+ lduw [%o2+8],%g4
+ subccc %o4,%o5,%o5
+ stuw %o5,[%o0]
+
+ lduw [%o1+12],%o4
+ lduw [%o2+12],%o5
+ inc 16,%o1
+ subccc %g1,%g2,%g2
+ stuw %g2,[%o0+4]
+
+ inc 16,%o2
+ subccc %g3,%g4,%g4
+ stuw %g4,[%o0+8]
+
+ inc 16,%o0
+ subccc %o4,%o5,%o5
+ stuw %o5,[%o0-4]
+ and %o3,-4,%g1
+ brnz,a,pt %g1,.L_bn_sub_words_loop
+ lduw [%o1],%o4
+
+ brnz,a,pn %o3,.L_bn_sub_words_tail
+ lduw [%o1],%o4
+.L_bn_sub_words_return:
+ clr %o0
+ retl
+ movcs %icc,1,%o0
+ nop
+
+.L_bn_sub_words_tail: ! wow! 32 aligned!
+ lduw [%o2],%o5
+ dec %o3
+ subccc %o4,%o5,%o5
+ brz,pt %o3,.L_bn_sub_words_return
+ stuw %o5,[%o0]
+
+ lduw [%o1+4],%o4
+ lduw [%o2+4],%o5
+ dec %o3
+ subccc %o4,%o5,%o5
+ brz,pt %o3,.L_bn_sub_words_return
+ stuw %o5,[%o0+4]
+
+ lduw [%o1+8],%o4
+ lduw [%o2+8],%o5
+ subccc %o4,%o5,%o5
+ stuw %o5,[%o0+8]
+ clr %o0
+ retl
+ movcs %icc,1,%o0
+
+.type bn_sub_words,#function
+.size bn_sub_words,(.-bn_sub_words)
+
+/*
+ * Code below depends on the fact that upper parts of the %l0-%l7
+ * and %i0-%i7 are zeroed by kernel after context switch. In
+ * previous versions this comment stated that "the trouble is that
+ * it's not feasible to implement the mumbo-jumbo in less V9
+ * instructions:-(" which apparently isn't true thanks to
+ * 'bcs,a %xcc,.+8; inc %rd' pair. But the performance improvement
+ * results not from the shorter code, but from elimination of
+ * multicycle none-pairable 'rd %y,%rd' instructions.
+ *
+ * Andy.
+ */
+
+/*
+ * Here is register usage map for *all* routines below.
+ */
+#define t_1 %o0
+#define t_2 %o1
+#define c_12 %o2
+#define c_3 %o3
+
+#define ap(I) [%i1+4*I]
+#define bp(I) [%i2+4*I]
+#define rp(I) [%i0+4*I]
+
+#define a_0 %l0
+#define a_1 %l1
+#define a_2 %l2
+#define a_3 %l3
+#define a_4 %l4
+#define a_5 %l5
+#define a_6 %l6
+#define a_7 %l7
+
+#define b_0 %i3
+#define b_1 %i4
+#define b_2 %i5
+#define b_3 %o4
+#define b_4 %o5
+#define b_5 %o7
+#define b_6 %g1
+#define b_7 %g4
+
+.align 32
+.global bn_mul_comba8
+/*
+ * void bn_mul_comba8(r,a,b)
+ * BN_ULONG *r,*a,*b;
+ */
+bn_mul_comba8:
+ save %sp,FRAME_SIZE,%sp
+ mov 1,t_2
+ lduw ap(0),a_0
+ sllx t_2,32,t_2
+ lduw bp(0),b_0 !=
+ lduw bp(1),b_1
+ mulx a_0,b_0,t_1 !mul_add_c(a[0],b[0],c1,c2,c3);
+ srlx t_1,32,c_12
+ stuw t_1,rp(0) !=!r[0]=c1;
+
+ lduw ap(1),a_1
+ mulx a_0,b_1,t_1 !mul_add_c(a[0],b[1],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(2),a_2
+ mulx a_1,b_0,t_1 !=!mul_add_c(a[1],b[0],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(1) !r[1]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,b_0,t_1 !mul_add_c(a[2],b[0],c3,c1,c2);
+ addcc c_12,t_1,c_12 !=
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw bp(2),b_2 !=
+ mulx a_1,b_1,t_1 !mul_add_c(a[1],b[1],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ lduw bp(3),b_3
+ mulx a_0,b_2,t_1 !mul_add_c(a[0],b[2],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(2) !r[2]=c3;
+ or c_12,c_3,c_12 !=
+
+ mulx a_0,b_3,t_1 !mul_add_c(a[0],b[3],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_1,b_2,t_1 !=!mul_add_c(a[1],b[2],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ lduw ap(3),a_3
+ mulx a_2,b_1,t_1 !mul_add_c(a[2],b[1],c1,c2,c3);
+ addcc c_12,t_1,c_12 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(4),a_4
+ mulx a_3,b_0,t_1 !=!mul_add_c(a[3],b[0],c1,c2,c3);!=
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(3) !r[3]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_4,b_0,t_1 !mul_add_c(a[4],b[0],c2,c3,c1);
+ addcc c_12,t_1,c_12 !=
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,b_1,t_1 !=!mul_add_c(a[3],b[1],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_2,b_2,t_1 !=!mul_add_c(a[2],b[2],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw bp(4),b_4 !=
+ mulx a_1,b_3,t_1 !mul_add_c(a[1],b[3],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ lduw bp(5),b_5
+ mulx a_0,b_4,t_1 !mul_add_c(a[0],b[4],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(4) !r[4]=c2;
+ or c_12,c_3,c_12 !=
+
+ mulx a_0,b_5,t_1 !mul_add_c(a[0],b[5],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_1,b_4,t_1 !mul_add_c(a[1],b[4],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_2,b_3,t_1 !mul_add_c(a[2],b[3],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_3,b_2,t_1 !mul_add_c(a[3],b[2],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ lduw ap(5),a_5
+ mulx a_4,b_1,t_1 !mul_add_c(a[4],b[1],c3,c1,c2);
+ addcc c_12,t_1,c_12 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(6),a_6
+ mulx a_5,b_0,t_1 !=!mul_add_c(a[5],b[0],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(5) !r[5]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_6,b_0,t_1 !mul_add_c(a[6],b[0],c1,c2,c3);
+ addcc c_12,t_1,c_12 !=
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_5,b_1,t_1 !=!mul_add_c(a[5],b[1],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_4,b_2,t_1 !=!mul_add_c(a[4],b[2],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,b_3,t_1 !=!mul_add_c(a[3],b[3],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_2,b_4,t_1 !=!mul_add_c(a[2],b[4],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw bp(6),b_6 !=
+ mulx a_1,b_5,t_1 !mul_add_c(a[1],b[5],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ lduw bp(7),b_7
+ mulx a_0,b_6,t_1 !mul_add_c(a[0],b[6],c1,c2,c3);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(6) !r[6]=c1;
+ or c_12,c_3,c_12 !=
+
+ mulx a_0,b_7,t_1 !mul_add_c(a[0],b[7],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_1,b_6,t_1 !mul_add_c(a[1],b[6],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_2,b_5,t_1 !mul_add_c(a[2],b[5],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_3,b_4,t_1 !mul_add_c(a[3],b[4],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_4,b_3,t_1 !mul_add_c(a[4],b[3],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_5,b_2,t_1 !mul_add_c(a[5],b[2],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ lduw ap(7),a_7
+ mulx a_6,b_1,t_1 !=!mul_add_c(a[6],b[1],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_7,b_0,t_1 !=!mul_add_c(a[7],b[0],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(7) !r[7]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_7,b_1,t_1 !=!mul_add_c(a[7],b[1],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_6,b_2,t_1 !mul_add_c(a[6],b[2],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_5,b_3,t_1 !mul_add_c(a[5],b[3],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_4,b_4,t_1 !mul_add_c(a[4],b[4],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_3,b_5,t_1 !mul_add_c(a[3],b[5],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_2,b_6,t_1 !mul_add_c(a[2],b[6],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_1,b_7,t_1 !mul_add_c(a[1],b[7],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ srlx t_1,32,c_12
+ stuw t_1,rp(8) !r[8]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_2,b_7,t_1 !=!mul_add_c(a[2],b[7],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ mulx a_3,b_6,t_1 !mul_add_c(a[3],b[6],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_4,b_5,t_1 !mul_add_c(a[4],b[5],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_5,b_4,t_1 !mul_add_c(a[5],b[4],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_6,b_3,t_1 !mul_add_c(a[6],b[3],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_7,b_2,t_1 !mul_add_c(a[7],b[2],c1,c2,c3);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(9) !r[9]=c1;
+ or c_12,c_3,c_12 !=
+
+ mulx a_7,b_3,t_1 !mul_add_c(a[7],b[3],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_6,b_4,t_1 !mul_add_c(a[6],b[4],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_5,b_5,t_1 !mul_add_c(a[5],b[5],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_4,b_6,t_1 !mul_add_c(a[4],b[6],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_3,b_7,t_1 !mul_add_c(a[3],b[7],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(10) !r[10]=c2;
+ or c_12,c_3,c_12 !=
+
+ mulx a_4,b_7,t_1 !mul_add_c(a[4],b[7],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_5,b_6,t_1 !mul_add_c(a[5],b[6],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_6,b_5,t_1 !mul_add_c(a[6],b[5],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_7,b_4,t_1 !mul_add_c(a[7],b[4],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(11) !r[11]=c3;
+ or c_12,c_3,c_12 !=
+
+ mulx a_7,b_5,t_1 !mul_add_c(a[7],b[5],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_6,b_6,t_1 !mul_add_c(a[6],b[6],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_5,b_7,t_1 !mul_add_c(a[5],b[7],c1,c2,c3);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(12) !r[12]=c1;
+ or c_12,c_3,c_12 !=
+
+ mulx a_6,b_7,t_1 !mul_add_c(a[6],b[7],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_7,b_6,t_1 !mul_add_c(a[7],b[6],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ st t_1,rp(13) !r[13]=c2;
+ or c_12,c_3,c_12 !=
+
+ mulx a_7,b_7,t_1 !mul_add_c(a[7],b[7],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(14) !r[14]=c3;
+ stuw c_12,rp(15) !r[15]=c1;
+
+ ret
+ restore %g0,%g0,%o0 !=
+
+.type bn_mul_comba8,#function
+.size bn_mul_comba8,(.-bn_mul_comba8)
+
+.align 32
+
+.global bn_mul_comba4
+/*
+ * void bn_mul_comba4(r,a,b)
+ * BN_ULONG *r,*a,*b;
+ */
+bn_mul_comba4:
+ save %sp,FRAME_SIZE,%sp
+ lduw ap(0),a_0
+ mov 1,t_2
+ lduw bp(0),b_0
+ sllx t_2,32,t_2 !=
+ lduw bp(1),b_1
+ mulx a_0,b_0,t_1 !mul_add_c(a[0],b[0],c1,c2,c3);
+ srlx t_1,32,c_12
+ stuw t_1,rp(0) !=!r[0]=c1;
+
+ lduw ap(1),a_1
+ mulx a_0,b_1,t_1 !mul_add_c(a[0],b[1],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(2),a_2
+ mulx a_1,b_0,t_1 !=!mul_add_c(a[1],b[0],c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(1) !r[1]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,b_0,t_1 !mul_add_c(a[2],b[0],c3,c1,c2);
+ addcc c_12,t_1,c_12 !=
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw bp(2),b_2 !=
+ mulx a_1,b_1,t_1 !mul_add_c(a[1],b[1],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3 !=
+ lduw bp(3),b_3
+ mulx a_0,b_2,t_1 !mul_add_c(a[0],b[2],c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(2) !r[2]=c3;
+ or c_12,c_3,c_12 !=
+
+ mulx a_0,b_3,t_1 !mul_add_c(a[0],b[3],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ mulx a_1,b_2,t_1 !mul_add_c(a[1],b[2],c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8 !=
+ add c_3,t_2,c_3
+ lduw ap(3),a_3
+ mulx a_2,b_1,t_1 !mul_add_c(a[2],b[1],c1,c2,c3);
+ addcc c_12,t_1,c_12 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,b_0,t_1 !mul_add_c(a[3],b[0],c1,c2,c3);!=
+ addcc c_12,t_1,t_1 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(3) !=!r[3]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_3,b_1,t_1 !mul_add_c(a[3],b[1],c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_2,b_2,t_1 !mul_add_c(a[2],b[2],c2,c3,c1);
+ addcc c_12,t_1,c_12 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_1,b_3,t_1 !mul_add_c(a[1],b[3],c2,c3,c1);
+ addcc c_12,t_1,t_1 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(4) !=!r[4]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,b_3,t_1 !mul_add_c(a[2],b[3],c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,b_2,t_1 !mul_add_c(a[3],b[2],c3,c1,c2);
+ addcc c_12,t_1,t_1 !=
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(5) !=!r[5]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_3,b_3,t_1 !mul_add_c(a[3],b[3],c1,c2,c3);
+ addcc c_12,t_1,t_1
+ srlx t_1,32,c_12 !=
+ stuw t_1,rp(6) !r[6]=c1;
+ stuw c_12,rp(7) !r[7]=c2;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_mul_comba4,#function
+.size bn_mul_comba4,(.-bn_mul_comba4)
+
+.align 32
+
+.global bn_sqr_comba8
+bn_sqr_comba8:
+ save %sp,FRAME_SIZE,%sp
+ mov 1,t_2
+ lduw ap(0),a_0
+ sllx t_2,32,t_2
+ lduw ap(1),a_1
+ mulx a_0,a_0,t_1 !sqr_add_c(a,0,c1,c2,c3);
+ srlx t_1,32,c_12
+ stuw t_1,rp(0) !r[0]=c1;
+
+ lduw ap(2),a_2
+ mulx a_0,a_1,t_1 !=!sqr_add_c2(a,1,0,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(1) !r[1]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,a_0,t_1 !sqr_add_c2(a,2,0,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(3),a_3
+ mulx a_1,a_1,t_1 !sqr_add_c(a,1,c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(2) !r[2]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_0,a_3,t_1 !sqr_add_c2(a,3,0,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(4),a_4
+ mulx a_1,a_2,t_1 !sqr_add_c2(a,2,1,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ st t_1,rp(3) !r[3]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_4,a_0,t_1 !sqr_add_c2(a,4,0,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,a_1,t_1 !sqr_add_c2(a,3,1,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(5),a_5
+ mulx a_2,a_2,t_1 !sqr_add_c(a,2,c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(4) !r[4]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_0,a_5,t_1 !sqr_add_c2(a,5,0,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_1,a_4,t_1 !sqr_add_c2(a,4,1,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(6),a_6
+ mulx a_2,a_3,t_1 !sqr_add_c2(a,3,2,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(5) !r[5]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_6,a_0,t_1 !sqr_add_c2(a,6,0,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_5,a_1,t_1 !sqr_add_c2(a,5,1,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_4,a_2,t_1 !sqr_add_c2(a,4,2,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(7),a_7
+ mulx a_3,a_3,t_1 !=!sqr_add_c(a,3,c1,c2,c3);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(6) !r[6]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_0,a_7,t_1 !sqr_add_c2(a,7,0,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_1,a_6,t_1 !sqr_add_c2(a,6,1,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_2,a_5,t_1 !sqr_add_c2(a,5,2,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,a_4,t_1 !sqr_add_c2(a,4,3,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(7) !r[7]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_7,a_1,t_1 !sqr_add_c2(a,7,1,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_6,a_2,t_1 !sqr_add_c2(a,6,2,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_5,a_3,t_1 !sqr_add_c2(a,5,3,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_4,a_4,t_1 !sqr_add_c(a,4,c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(8) !r[8]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_2,a_7,t_1 !sqr_add_c2(a,7,2,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_3,a_6,t_1 !sqr_add_c2(a,6,3,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_4,a_5,t_1 !sqr_add_c2(a,5,4,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(9) !r[9]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_7,a_3,t_1 !sqr_add_c2(a,7,3,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_6,a_4,t_1 !sqr_add_c2(a,6,4,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_5,a_5,t_1 !sqr_add_c(a,5,c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(10) !r[10]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_4,a_7,t_1 !sqr_add_c2(a,7,4,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_5,a_6,t_1 !sqr_add_c2(a,6,5,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(11) !r[11]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_7,a_5,t_1 !sqr_add_c2(a,7,5,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_6,a_6,t_1 !sqr_add_c(a,6,c1,c2,c3);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(12) !r[12]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_6,a_7,t_1 !sqr_add_c2(a,7,6,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(13) !r[13]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_7,a_7,t_1 !sqr_add_c(a,7,c3,c1,c2);
+ addcc c_12,t_1,t_1
+ srlx t_1,32,c_12
+ stuw t_1,rp(14) !r[14]=c3;
+ stuw c_12,rp(15) !r[15]=c1;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_sqr_comba8,#function
+.size bn_sqr_comba8,(.-bn_sqr_comba8)
+
+.align 32
+
+.global bn_sqr_comba4
+/*
+ * void bn_sqr_comba4(r,a)
+ * BN_ULONG *r,*a;
+ */
+bn_sqr_comba4:
+ save %sp,FRAME_SIZE,%sp
+ mov 1,t_2
+ lduw ap(0),a_0
+ sllx t_2,32,t_2
+ lduw ap(1),a_1
+ mulx a_0,a_0,t_1 !sqr_add_c(a,0,c1,c2,c3);
+ srlx t_1,32,c_12
+ stuw t_1,rp(0) !r[0]=c1;
+
+ lduw ap(2),a_2
+ mulx a_0,a_1,t_1 !sqr_add_c2(a,1,0,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(1) !r[1]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,a_0,t_1 !sqr_add_c2(a,2,0,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ lduw ap(3),a_3
+ mulx a_1,a_1,t_1 !sqr_add_c(a,1,c3,c1,c2);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(2) !r[2]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_0,a_3,t_1 !sqr_add_c2(a,3,0,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_1,a_2,t_1 !sqr_add_c2(a,2,1,c1,c2,c3);
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(3) !r[3]=c1;
+ or c_12,c_3,c_12
+
+ mulx a_3,a_1,t_1 !sqr_add_c2(a,3,1,c2,c3,c1);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,c_12
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ mulx a_2,a_2,t_1 !sqr_add_c(a,2,c2,c3,c1);
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(4) !r[4]=c2;
+ or c_12,c_3,c_12
+
+ mulx a_2,a_3,t_1 !sqr_add_c2(a,3,2,c3,c1,c2);
+ addcc c_12,t_1,c_12
+ clr c_3
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ addcc c_12,t_1,t_1
+ bcs,a %xcc,.+8
+ add c_3,t_2,c_3
+ srlx t_1,32,c_12
+ stuw t_1,rp(5) !r[5]=c3;
+ or c_12,c_3,c_12
+
+ mulx a_3,a_3,t_1 !sqr_add_c(a,3,c1,c2,c3);
+ addcc c_12,t_1,t_1
+ srlx t_1,32,c_12
+ stuw t_1,rp(6) !r[6]=c1;
+ stuw c_12,rp(7) !r[7]=c2;
+
+ ret
+ restore %g0,%g0,%o0
+
+.type bn_sqr_comba4,#function
+.size bn_sqr_comba4,(.-bn_sqr_comba4)
+
+.align 32
diff --git a/openssl/crypto/bn/asm/sparcv9-mont.pl b/openssl/crypto/bn/asm/sparcv9-mont.pl
new file mode 100644
index 00000000..b8fb1e8a
--- /dev/null
+++ b/openssl/crypto/bn/asm/sparcv9-mont.pl
@@ -0,0 +1,606 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# December 2005
+#
+# Pure SPARCv9/8+ and IALU-only bn_mul_mont implementation. The reasons
+# for undertaken effort are multiple. First of all, UltraSPARC is not
+# the whole SPARCv9 universe and other VIS-free implementations deserve
+# optimized code as much. Secondly, newly introduced UltraSPARC T1,
+# a.k.a. Niagara, has shared FPU and concurrent FPU-intensive pathes,
+# such as sparcv9a-mont, will simply sink it. Yes, T1 is equipped with
+# several integrated RSA/DSA accelerator circuits accessible through
+# kernel driver [only(*)], but having decent user-land software
+# implementation is important too. Finally, reasons like desire to
+# experiment with dedicated squaring procedure. Yes, this module
+# implements one, because it was easiest to draft it in SPARCv9
+# instructions...
+
+# (*) Engine accessing the driver in question is on my TODO list.
+# For reference, acceleator is estimated to give 6 to 10 times
+# improvement on single-threaded RSA sign. It should be noted
+# that 6-10x improvement coefficient does not actually mean
+# something extraordinary in terms of absolute [single-threaded]
+# performance, as SPARCv9 instruction set is by all means least
+# suitable for high performance crypto among other 64 bit
+# platforms. 6-10x factor simply places T1 in same performance
+# domain as say AMD64 and IA-64. Improvement of RSA verify don't
+# appear impressive at all, but it's the sign operation which is
+# far more critical/interesting.
+
+# You might notice that inner loops are modulo-scheduled:-) This has
+# essentially negligible impact on UltraSPARC performance, it's
+# Fujitsu SPARC64 V users who should notice and hopefully appreciate
+# the advantage... Currently this module surpasses sparcv9a-mont.pl
+# by ~20% on UltraSPARC-III and later cores, but recall that sparcv9a
+# module still have hidden potential [see TODO list there], which is
+# estimated to be larger than 20%...
+
+# int bn_mul_mont(
+$rp="%i0"; # BN_ULONG *rp,
+$ap="%i1"; # const BN_ULONG *ap,
+$bp="%i2"; # const BN_ULONG *bp,
+$np="%i3"; # const BN_ULONG *np,
+$n0="%i4"; # const BN_ULONG *n0,
+$num="%i5"; # int num);
+
+$bits=32;
+for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
+if ($bits==64) { $bias=2047; $frame=192; }
+else { $bias=0; $frame=128; }
+
+$car0="%o0";
+$car1="%o1";
+$car2="%o2"; # 1 bit
+$acc0="%o3";
+$acc1="%o4";
+$mask="%g1"; # 32 bits, what a waste...
+$tmp0="%g4";
+$tmp1="%g5";
+
+$i="%l0";
+$j="%l1";
+$mul0="%l2";
+$mul1="%l3";
+$tp="%l4";
+$apj="%l5";
+$npj="%l6";
+$tpj="%l7";
+
+$fname="bn_mul_mont_int";
+
+$code=<<___;
+.section ".text",#alloc,#execinstr
+
+.global $fname
+.align 32
+$fname:
+ cmp %o5,4 ! 128 bits minimum
+ bge,pt %icc,.Lenter
+ sethi %hi(0xffffffff),$mask
+ retl
+ clr %o0
+.align 32
+.Lenter:
+ save %sp,-$frame,%sp
+ sll $num,2,$num ! num*=4
+ or $mask,%lo(0xffffffff),$mask
+ ld [$n0],$n0
+ cmp $ap,$bp
+ and $num,$mask,$num
+ ld [$bp],$mul0 ! bp[0]
+ nop
+
+ add %sp,$bias,%o7 ! real top of stack
+ ld [$ap],$car0 ! ap[0] ! redundant in squaring context
+ sub %o7,$num,%o7
+ ld [$ap+4],$apj ! ap[1]
+ and %o7,-1024,%o7
+ ld [$np],$car1 ! np[0]
+ sub %o7,$bias,%sp ! alloca
+ ld [$np+4],$npj ! np[1]
+ be,pt `$bits==32?"%icc":"%xcc"`,.Lbn_sqr_mont
+ mov 12,$j
+
+ mulx $car0,$mul0,$car0 ! ap[0]*bp[0]
+ mulx $apj,$mul0,$tmp0 !prologue! ap[1]*bp[0]
+ and $car0,$mask,$acc0
+ add %sp,$bias+$frame,$tp
+ ld [$ap+8],$apj !prologue!
+
+ mulx $n0,$acc0,$mul1 ! "t[0]"*n0
+ and $mul1,$mask,$mul1
+
+ mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
+ mulx $npj,$mul1,$acc1 !prologue! np[1]*"t[0]"*n0
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ ld [$np+8],$npj !prologue!
+ srlx $car1,32,$car1
+ mov $tmp0,$acc0 !prologue!
+
+.L1st:
+ mulx $apj,$mul0,$tmp0
+ mulx $npj,$mul1,$tmp1
+ add $acc0,$car0,$car0
+ ld [$ap+$j],$apj ! ap[j]
+ and $car0,$mask,$acc0
+ add $acc1,$car1,$car1
+ ld [$np+$j],$npj ! np[j]
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ add $j,4,$j ! j++
+ mov $tmp0,$acc0
+ st $car1,[$tp]
+ cmp $j,$num
+ mov $tmp1,$acc1
+ srlx $car1,32,$car1
+ bl %icc,.L1st
+ add $tp,4,$tp ! tp++
+!.L1st
+
+ mulx $apj,$mul0,$tmp0 !epilogue!
+ mulx $npj,$mul1,$tmp1
+ add $acc0,$car0,$car0
+ and $car0,$mask,$acc0
+ add $acc1,$car1,$car1
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+
+ add $tmp0,$car0,$car0
+ and $car0,$mask,$acc0
+ add $tmp1,$car1,$car1
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ st $car1,[$tp+4]
+ srlx $car1,32,$car1
+
+ add $car0,$car1,$car1
+ st $car1,[$tp+8]
+ srlx $car1,32,$car2
+
+ mov 4,$i ! i++
+ ld [$bp+4],$mul0 ! bp[1]
+.Louter:
+ add %sp,$bias+$frame,$tp
+ ld [$ap],$car0 ! ap[0]
+ ld [$ap+4],$apj ! ap[1]
+ ld [$np],$car1 ! np[0]
+ ld [$np+4],$npj ! np[1]
+ ld [$tp],$tmp1 ! tp[0]
+ ld [$tp+4],$tpj ! tp[1]
+ mov 12,$j
+
+ mulx $car0,$mul0,$car0
+ mulx $apj,$mul0,$tmp0 !prologue!
+ add $tmp1,$car0,$car0
+ ld [$ap+8],$apj !prologue!
+ and $car0,$mask,$acc0
+
+ mulx $n0,$acc0,$mul1
+ and $mul1,$mask,$mul1
+
+ mulx $car1,$mul1,$car1
+ mulx $npj,$mul1,$acc1 !prologue!
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ ld [$np+8],$npj !prologue!
+ srlx $car1,32,$car1
+ mov $tmp0,$acc0 !prologue!
+
+.Linner:
+ mulx $apj,$mul0,$tmp0
+ mulx $npj,$mul1,$tmp1
+ add $tpj,$car0,$car0
+ ld [$ap+$j],$apj ! ap[j]
+ add $acc0,$car0,$car0
+ add $acc1,$car1,$car1
+ ld [$np+$j],$npj ! np[j]
+ and $car0,$mask,$acc0
+ ld [$tp+8],$tpj ! tp[j]
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ add $j,4,$j ! j++
+ mov $tmp0,$acc0
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+ mov $tmp1,$acc1
+ cmp $j,$num
+ bl %icc,.Linner
+ add $tp,4,$tp ! tp++
+!.Linner
+
+ mulx $apj,$mul0,$tmp0 !epilogue!
+ mulx $npj,$mul1,$tmp1
+ add $tpj,$car0,$car0
+ add $acc0,$car0,$car0
+ ld [$tp+8],$tpj ! tp[j]
+ and $car0,$mask,$acc0
+ add $acc1,$car1,$car1
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+
+ add $tpj,$car0,$car0
+ add $tmp0,$car0,$car0
+ and $car0,$mask,$acc0
+ add $tmp1,$car1,$car1
+ add $acc0,$car1,$car1
+ st $car1,[$tp+4] ! tp[j-1]
+ srlx $car0,32,$car0
+ add $i,4,$i ! i++
+ srlx $car1,32,$car1
+
+ add $car0,$car1,$car1
+ cmp $i,$num
+ add $car2,$car1,$car1
+ st $car1,[$tp+8]
+
+ srlx $car1,32,$car2
+ bl,a %icc,.Louter
+ ld [$bp+$i],$mul0 ! bp[i]
+!.Louter
+
+ add $tp,12,$tp
+
+.Ltail:
+ add $np,$num,$np
+ add $rp,$num,$rp
+ mov $tp,$ap
+ sub %g0,$num,%o7 ! k=-num
+ ba .Lsub
+ subcc %g0,%g0,%g0 ! clear %icc.c
+.align 16
+.Lsub:
+ ld [$tp+%o7],%o0
+ ld [$np+%o7],%o1
+ subccc %o0,%o1,%o1 ! tp[j]-np[j]
+ add $rp,%o7,$i
+ add %o7,4,%o7
+ brnz %o7,.Lsub
+ st %o1,[$i]
+ subc $car2,0,$car2 ! handle upmost overflow bit
+ and $tp,$car2,$ap
+ andn $rp,$car2,$np
+ or $ap,$np,$ap
+ sub %g0,$num,%o7
+
+.Lcopy:
+ ld [$ap+%o7],%o0 ! copy or in-place refresh
+ st %g0,[$tp+%o7] ! zap tp
+ st %o0,[$rp+%o7]
+ add %o7,4,%o7
+ brnz %o7,.Lcopy
+ nop
+ mov 1,%i0
+ ret
+ restore
+___
+
+########
+######## .Lbn_sqr_mont gives up to 20% *overall* improvement over
+######## code without following dedicated squaring procedure.
+########
+$sbit="%i2"; # re-use $bp!
+
+$code.=<<___;
+.align 32
+.Lbn_sqr_mont:
+ mulx $mul0,$mul0,$car0 ! ap[0]*ap[0]
+ mulx $apj,$mul0,$tmp0 !prologue!
+ and $car0,$mask,$acc0
+ add %sp,$bias+$frame,$tp
+ ld [$ap+8],$apj !prologue!
+
+ mulx $n0,$acc0,$mul1 ! "t[0]"*n0
+ srlx $car0,32,$car0
+ and $mul1,$mask,$mul1
+
+ mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
+ mulx $npj,$mul1,$acc1 !prologue!
+ and $car0,1,$sbit
+ ld [$np+8],$npj !prologue!
+ srlx $car0,1,$car0
+ add $acc0,$car1,$car1
+ srlx $car1,32,$car1
+ mov $tmp0,$acc0 !prologue!
+
+.Lsqr_1st:
+ mulx $apj,$mul0,$tmp0
+ mulx $npj,$mul1,$tmp1
+ add $acc0,$car0,$car0 ! ap[j]*a0+c0
+ add $acc1,$car1,$car1
+ ld [$ap+$j],$apj ! ap[j]
+ and $car0,$mask,$acc0
+ ld [$np+$j],$npj ! np[j]
+ srlx $car0,32,$car0
+ add $acc0,$acc0,$acc0
+ or $sbit,$acc0,$acc0
+ mov $tmp1,$acc1
+ srlx $acc0,32,$sbit
+ add $j,4,$j ! j++
+ and $acc0,$mask,$acc0
+ cmp $j,$num
+ add $acc0,$car1,$car1
+ st $car1,[$tp]
+ mov $tmp0,$acc0
+ srlx $car1,32,$car1
+ bl %icc,.Lsqr_1st
+ add $tp,4,$tp ! tp++
+!.Lsqr_1st
+
+ mulx $apj,$mul0,$tmp0 ! epilogue
+ mulx $npj,$mul1,$tmp1
+ add $acc0,$car0,$car0 ! ap[j]*a0+c0
+ add $acc1,$car1,$car1
+ and $car0,$mask,$acc0
+ srlx $car0,32,$car0
+ add $acc0,$acc0,$acc0
+ or $sbit,$acc0,$acc0
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ add $acc0,$car1,$car1
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+
+ add $tmp0,$car0,$car0 ! ap[j]*a0+c0
+ add $tmp1,$car1,$car1
+ and $car0,$mask,$acc0
+ srlx $car0,32,$car0
+ add $acc0,$acc0,$acc0
+ or $sbit,$acc0,$acc0
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ add $acc0,$car1,$car1
+ st $car1,[$tp+4]
+ srlx $car1,32,$car1
+
+ add $car0,$car0,$car0
+ or $sbit,$car0,$car0
+ add $car0,$car1,$car1
+ st $car1,[$tp+8]
+ srlx $car1,32,$car2
+
+ ld [%sp+$bias+$frame],$tmp0 ! tp[0]
+ ld [%sp+$bias+$frame+4],$tmp1 ! tp[1]
+ ld [%sp+$bias+$frame+8],$tpj ! tp[2]
+ ld [$ap+4],$mul0 ! ap[1]
+ ld [$ap+8],$apj ! ap[2]
+ ld [$np],$car1 ! np[0]
+ ld [$np+4],$npj ! np[1]
+ mulx $n0,$tmp0,$mul1
+
+ mulx $mul0,$mul0,$car0
+ and $mul1,$mask,$mul1
+
+ mulx $car1,$mul1,$car1
+ mulx $npj,$mul1,$acc1
+ add $tmp0,$car1,$car1
+ and $car0,$mask,$acc0
+ ld [$np+8],$npj ! np[2]
+ srlx $car1,32,$car1
+ add $tmp1,$car1,$car1
+ srlx $car0,32,$car0
+ add $acc0,$car1,$car1
+ and $car0,1,$sbit
+ add $acc1,$car1,$car1
+ srlx $car0,1,$car0
+ mov 12,$j
+ st $car1,[%sp+$bias+$frame] ! tp[0]=
+ srlx $car1,32,$car1
+ add %sp,$bias+$frame+4,$tp
+
+.Lsqr_2nd:
+ mulx $apj,$mul0,$acc0
+ mulx $npj,$mul1,$acc1
+ add $acc0,$car0,$car0
+ add $tpj,$car1,$car1
+ ld [$ap+$j],$apj ! ap[j]
+ and $car0,$mask,$acc0
+ ld [$np+$j],$npj ! np[j]
+ srlx $car0,32,$car0
+ add $acc1,$car1,$car1
+ ld [$tp+8],$tpj ! tp[j]
+ add $acc0,$acc0,$acc0
+ add $j,4,$j ! j++
+ or $sbit,$acc0,$acc0
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ cmp $j,$num
+ add $acc0,$car1,$car1
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+ bl %icc,.Lsqr_2nd
+ add $tp,4,$tp ! tp++
+!.Lsqr_2nd
+
+ mulx $apj,$mul0,$acc0
+ mulx $npj,$mul1,$acc1
+ add $acc0,$car0,$car0
+ add $tpj,$car1,$car1
+ and $car0,$mask,$acc0
+ srlx $car0,32,$car0
+ add $acc1,$car1,$car1
+ add $acc0,$acc0,$acc0
+ or $sbit,$acc0,$acc0
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ add $acc0,$car1,$car1
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+
+ add $car0,$car0,$car0
+ or $sbit,$car0,$car0
+ add $car0,$car1,$car1
+ add $car2,$car1,$car1
+ st $car1,[$tp+4]
+ srlx $car1,32,$car2
+
+ ld [%sp+$bias+$frame],$tmp1 ! tp[0]
+ ld [%sp+$bias+$frame+4],$tpj ! tp[1]
+ ld [$ap+8],$mul0 ! ap[2]
+ ld [$np],$car1 ! np[0]
+ ld [$np+4],$npj ! np[1]
+ mulx $n0,$tmp1,$mul1
+ and $mul1,$mask,$mul1
+ mov 8,$i
+
+ mulx $mul0,$mul0,$car0
+ mulx $car1,$mul1,$car1
+ and $car0,$mask,$acc0
+ add $tmp1,$car1,$car1
+ srlx $car0,32,$car0
+ add %sp,$bias+$frame,$tp
+ srlx $car1,32,$car1
+ and $car0,1,$sbit
+ srlx $car0,1,$car0
+ mov 4,$j
+
+.Lsqr_outer:
+.Lsqr_inner1:
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ add $j,4,$j
+ ld [$tp+8],$tpj
+ cmp $j,$i
+ add $acc1,$car1,$car1
+ ld [$np+$j],$npj
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+ bl %icc,.Lsqr_inner1
+ add $tp,4,$tp
+!.Lsqr_inner1
+
+ add $j,4,$j
+ ld [$ap+$j],$apj ! ap[j]
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ ld [$np+$j],$npj ! np[j]
+ add $acc0,$car1,$car1
+ ld [$tp+8],$tpj ! tp[j]
+ add $acc1,$car1,$car1
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+
+ add $j,4,$j
+ cmp $j,$num
+ be,pn %icc,.Lsqr_no_inner2
+ add $tp,4,$tp
+
+.Lsqr_inner2:
+ mulx $apj,$mul0,$acc0
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ add $acc0,$car0,$car0
+ ld [$ap+$j],$apj ! ap[j]
+ and $car0,$mask,$acc0
+ ld [$np+$j],$npj ! np[j]
+ srlx $car0,32,$car0
+ add $acc0,$acc0,$acc0
+ ld [$tp+8],$tpj ! tp[j]
+ or $sbit,$acc0,$acc0
+ add $j,4,$j ! j++
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ cmp $j,$num
+ add $acc0,$car1,$car1
+ add $acc1,$car1,$car1
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+ bl %icc,.Lsqr_inner2
+ add $tp,4,$tp ! tp++
+
+.Lsqr_no_inner2:
+ mulx $apj,$mul0,$acc0
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ add $acc0,$car0,$car0
+ and $car0,$mask,$acc0
+ srlx $car0,32,$car0
+ add $acc0,$acc0,$acc0
+ or $sbit,$acc0,$acc0
+ srlx $acc0,32,$sbit
+ and $acc0,$mask,$acc0
+ add $acc0,$car1,$car1
+ add $acc1,$car1,$car1
+ st $car1,[$tp] ! tp[j-1]
+ srlx $car1,32,$car1
+
+ add $car0,$car0,$car0
+ or $sbit,$car0,$car0
+ add $car0,$car1,$car1
+ add $car2,$car1,$car1
+ st $car1,[$tp+4]
+ srlx $car1,32,$car2
+
+ add $i,4,$i ! i++
+ ld [%sp+$bias+$frame],$tmp1 ! tp[0]
+ ld [%sp+$bias+$frame+4],$tpj ! tp[1]
+ ld [$ap+$i],$mul0 ! ap[j]
+ ld [$np],$car1 ! np[0]
+ ld [$np+4],$npj ! np[1]
+ mulx $n0,$tmp1,$mul1
+ and $mul1,$mask,$mul1
+ add $i,4,$tmp0
+
+ mulx $mul0,$mul0,$car0
+ mulx $car1,$mul1,$car1
+ and $car0,$mask,$acc0
+ add $tmp1,$car1,$car1
+ srlx $car0,32,$car0
+ add %sp,$bias+$frame,$tp
+ srlx $car1,32,$car1
+ and $car0,1,$sbit
+ srlx $car0,1,$car0
+
+ cmp $tmp0,$num ! i<num-1
+ bl %icc,.Lsqr_outer
+ mov 4,$j
+
+.Lsqr_last:
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ add $j,4,$j
+ ld [$tp+8],$tpj
+ cmp $j,$i
+ add $acc1,$car1,$car1
+ ld [$np+$j],$npj
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+ bl %icc,.Lsqr_last
+ add $tp,4,$tp
+!.Lsqr_last
+
+ mulx $npj,$mul1,$acc1
+ add $tpj,$car1,$car1
+ add $acc0,$car1,$car1
+ add $acc1,$car1,$car1
+ st $car1,[$tp]
+ srlx $car1,32,$car1
+
+ add $car0,$car0,$car0 ! recover $car0
+ or $sbit,$car0,$car0
+ add $car0,$car1,$car1
+ add $car2,$car1,$car1
+ st $car1,[$tp+4]
+ srlx $car1,32,$car2
+
+ ba .Ltail
+ add $tp,8,$tp
+.type $fname,#function
+.size $fname,(.-$fname)
+.asciz "Montgomery Multipltication for SPARCv9, CRYPTOGAMS by <appro\@openssl.org>"
+.align 32
+___
+$code =~ s/\`([^\`]*)\`/eval($1)/gem;
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/sparcv9a-mont.pl b/openssl/crypto/bn/asm/sparcv9a-mont.pl
new file mode 100755
index 00000000..a14205f2
--- /dev/null
+++ b/openssl/crypto/bn/asm/sparcv9a-mont.pl
@@ -0,0 +1,882 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# October 2005
+#
+# "Teaser" Montgomery multiplication module for UltraSPARC. Why FPU?
+# Because unlike integer multiplier, which simply stalls whole CPU,
+# FPU is fully pipelined and can effectively emit 48 bit partial
+# product every cycle. Why not blended SPARC v9? One can argue that
+# making this module dependent on UltraSPARC VIS extension limits its
+# binary compatibility. Well yes, it does exclude SPARC64 prior-V(!)
+# implementations from compatibility matrix. But the rest, whole Sun
+# UltraSPARC family and brand new Fujitsu's SPARC64 V, all support
+# VIS extension instructions used in this module. This is considered
+# good enough to not care about HAL SPARC64 users [if any] who have
+# integer-only pure SPARCv9 module to "fall down" to.
+
+# USI&II cores currently exhibit uniform 2x improvement [over pre-
+# bn_mul_mont codebase] for all key lengths and benchmarks. On USIII
+# performance improves few percents for shorter keys and worsens few
+# percents for longer keys. This is because USIII integer multiplier
+# is >3x faster than USI&II one, which is harder to match [but see
+# TODO list below]. It should also be noted that SPARC64 V features
+# out-of-order execution, which *might* mean that integer multiplier
+# is pipelined, which in turn *might* be impossible to match... On
+# additional note, SPARC64 V implements FP Multiply-Add instruction,
+# which is perfectly usable in this context... In other words, as far
+# as Fujitsu SPARC64 V goes, talk to the author:-)
+
+# The implementation implies following "non-natural" limitations on
+# input arguments:
+# - num may not be less than 4;
+# - num has to be even;
+# Failure to meet either condition has no fatal effects, simply
+# doesn't give any performance gain.
+
+# TODO:
+# - modulo-schedule inner loop for better performance (on in-order
+# execution core such as UltraSPARC this shall result in further
+# noticeable(!) improvement);
+# - dedicated squaring procedure[?];
+
+######################################################################
+# November 2006
+#
+# Modulo-scheduled inner loops allow to interleave floating point and
+# integer instructions and minimize Read-After-Write penalties. This
+# results in *further* 20-50% perfromance improvement [depending on
+# key length, more for longer keys] on USI&II cores and 30-80% - on
+# USIII&IV.
+
+$fname="bn_mul_mont_fpu";
+$bits=32;
+for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
+
+if ($bits==64) {
+ $bias=2047;
+ $frame=192;
+} else {
+ $bias=0;
+ $frame=128; # 96 rounded up to largest known cache-line
+}
+$locals=64;
+
+# In order to provide for 32-/64-bit ABI duality, I keep integers wider
+# than 32 bit in %g1-%g4 and %o0-%o5. %l0-%l7 and %i0-%i5 are used
+# exclusively for pointers, indexes and other small values...
+# int bn_mul_mont(
+$rp="%i0"; # BN_ULONG *rp,
+$ap="%i1"; # const BN_ULONG *ap,
+$bp="%i2"; # const BN_ULONG *bp,
+$np="%i3"; # const BN_ULONG *np,
+$n0="%i4"; # const BN_ULONG *n0,
+$num="%i5"; # int num);
+
+$tp="%l0"; # t[num]
+$ap_l="%l1"; # a[num],n[num] are smashed to 32-bit words and saved
+$ap_h="%l2"; # to these four vectors as double-precision FP values.
+$np_l="%l3"; # This way a bunch of fxtods are eliminated in second
+$np_h="%l4"; # loop and L1-cache aliasing is minimized...
+$i="%l5";
+$j="%l6";
+$mask="%l7"; # 16-bit mask, 0xffff
+
+$n0="%g4"; # reassigned(!) to "64-bit" register
+$carry="%i4"; # %i4 reused(!) for a carry bit
+
+# FP register naming chart
+#
+# ..HILO
+# dcba
+# --------
+# LOa
+# LOb
+# LOc
+# LOd
+# HIa
+# HIb
+# HIc
+# HId
+# ..a
+# ..b
+$ba="%f0"; $bb="%f2"; $bc="%f4"; $bd="%f6";
+$na="%f8"; $nb="%f10"; $nc="%f12"; $nd="%f14";
+$alo="%f16"; $alo_="%f17"; $ahi="%f18"; $ahi_="%f19";
+$nlo="%f20"; $nlo_="%f21"; $nhi="%f22"; $nhi_="%f23";
+
+$dota="%f24"; $dotb="%f26";
+
+$aloa="%f32"; $alob="%f34"; $aloc="%f36"; $alod="%f38";
+$ahia="%f40"; $ahib="%f42"; $ahic="%f44"; $ahid="%f46";
+$nloa="%f48"; $nlob="%f50"; $nloc="%f52"; $nlod="%f54";
+$nhia="%f56"; $nhib="%f58"; $nhic="%f60"; $nhid="%f62";
+
+$ASI_FL16_P=0xD2; # magic ASI value to engage 16-bit FP load
+
+$code=<<___;
+.section ".text",#alloc,#execinstr
+
+.global $fname
+.align 32
+$fname:
+ save %sp,-$frame-$locals,%sp
+
+ cmp $num,4
+ bl,a,pn %icc,.Lret
+ clr %i0
+ andcc $num,1,%g0 ! $num has to be even...
+ bnz,a,pn %icc,.Lret
+ clr %i0 ! signal "unsupported input value"
+
+ srl $num,1,$num
+ sethi %hi(0xffff),$mask
+ ld [%i4+0],$n0 ! $n0 reassigned, remember?
+ or $mask,%lo(0xffff),$mask
+ ld [%i4+4],%o0
+ sllx %o0,32,%o0
+ or %o0,$n0,$n0 ! $n0=n0[1].n0[0]
+
+ sll $num,3,$num ! num*=8
+
+ add %sp,$bias,%o0 ! real top of stack
+ sll $num,2,%o1
+ add %o1,$num,%o1 ! %o1=num*5
+ sub %o0,%o1,%o0
+ and %o0,-2048,%o0 ! optimize TLB utilization
+ sub %o0,$bias,%sp ! alloca(5*num*8)
+
+ rd %asi,%o7 ! save %asi
+ add %sp,$bias+$frame+$locals,$tp
+ add $tp,$num,$ap_l
+ add $ap_l,$num,$ap_l ! [an]p_[lh] point at the vectors' ends !
+ add $ap_l,$num,$ap_h
+ add $ap_h,$num,$np_l
+ add $np_l,$num,$np_h
+
+ wr %g0,$ASI_FL16_P,%asi ! setup %asi for 16-bit FP loads
+
+ add $rp,$num,$rp ! readjust input pointers to point
+ add $ap,$num,$ap ! at the ends too...
+ add $bp,$num,$bp
+ add $np,$num,$np
+
+ stx %o7,[%sp+$bias+$frame+48] ! save %asi
+
+ sub %g0,$num,$i ! i=-num
+ sub %g0,$num,$j ! j=-num
+
+ add $ap,$j,%o3
+ add $bp,$i,%o4
+
+ ld [%o3+4],%g1 ! bp[0]
+ ld [%o3+0],%o0
+ ld [%o4+4],%g5 ! ap[0]
+ sllx %g1,32,%g1
+ ld [%o4+0],%o1
+ sllx %g5,32,%g5
+ or %g1,%o0,%o0
+ or %g5,%o1,%o1
+
+ add $np,$j,%o5
+
+ mulx %o1,%o0,%o0 ! ap[0]*bp[0]
+ mulx $n0,%o0,%o0 ! ap[0]*bp[0]*n0
+ stx %o0,[%sp+$bias+$frame+0]
+
+ ld [%o3+0],$alo_ ! load a[j] as pair of 32-bit words
+ fzeros $alo
+ ld [%o3+4],$ahi_
+ fzeros $ahi
+ ld [%o5+0],$nlo_ ! load n[j] as pair of 32-bit words
+ fzeros $nlo
+ ld [%o5+4],$nhi_
+ fzeros $nhi
+
+ ! transfer b[i] to FPU as 4x16-bit values
+ ldda [%o4+2]%asi,$ba
+ fxtod $alo,$alo
+ ldda [%o4+0]%asi,$bb
+ fxtod $ahi,$ahi
+ ldda [%o4+6]%asi,$bc
+ fxtod $nlo,$nlo
+ ldda [%o4+4]%asi,$bd
+ fxtod $nhi,$nhi
+
+ ! transfer ap[0]*b[0]*n0 to FPU as 4x16-bit values
+ ldda [%sp+$bias+$frame+6]%asi,$na
+ fxtod $ba,$ba
+ ldda [%sp+$bias+$frame+4]%asi,$nb
+ fxtod $bb,$bb
+ ldda [%sp+$bias+$frame+2]%asi,$nc
+ fxtod $bc,$bc
+ ldda [%sp+$bias+$frame+0]%asi,$nd
+ fxtod $bd,$bd
+
+ std $alo,[$ap_l+$j] ! save smashed ap[j] in double format
+ fxtod $na,$na
+ std $ahi,[$ap_h+$j]
+ fxtod $nb,$nb
+ std $nlo,[$np_l+$j] ! save smashed np[j] in double format
+ fxtod $nc,$nc
+ std $nhi,[$np_h+$j]
+ fxtod $nd,$nd
+
+ fmuld $alo,$ba,$aloa
+ fmuld $nlo,$na,$nloa
+ fmuld $alo,$bb,$alob
+ fmuld $nlo,$nb,$nlob
+ fmuld $alo,$bc,$aloc
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ fmuld $alo,$bd,$alod
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ fmuld $ahi,$ba,$ahia
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ fmuld $ahi,$bb,$ahib
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ fmuld $ahi,$bc,$ahic
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ fmuld $ahi,$bd,$ahid
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+
+ faddd $ahic,$nhic,$dota ! $nhic
+ faddd $ahid,$nhid,$dotb ! $nhid
+
+ faddd $nloc,$nhia,$nloc
+ faddd $nlod,$nhib,$nlod
+
+ fdtox $nloa,$nloa
+ fdtox $nlob,$nlob
+ fdtox $nloc,$nloc
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ add $j,8,$j
+ std $nlob,[%sp+$bias+$frame+8]
+ add $ap,$j,%o4
+ std $nloc,[%sp+$bias+$frame+16]
+ add $np,$j,%o5
+ std $nlod,[%sp+$bias+$frame+24]
+
+ ld [%o4+0],$alo_ ! load a[j] as pair of 32-bit words
+ fzeros $alo
+ ld [%o4+4],$ahi_
+ fzeros $ahi
+ ld [%o5+0],$nlo_ ! load n[j] as pair of 32-bit words
+ fzeros $nlo
+ ld [%o5+4],$nhi_
+ fzeros $nhi
+
+ fxtod $alo,$alo
+ fxtod $ahi,$ahi
+ fxtod $nlo,$nlo
+ fxtod $nhi,$nhi
+
+ ldx [%sp+$bias+$frame+0],%o0
+ fmuld $alo,$ba,$aloa
+ ldx [%sp+$bias+$frame+8],%o1
+ fmuld $nlo,$na,$nloa
+ ldx [%sp+$bias+$frame+16],%o2
+ fmuld $alo,$bb,$alob
+ ldx [%sp+$bias+$frame+24],%o3
+ fmuld $nlo,$nb,$nlob
+
+ srlx %o0,16,%o7
+ std $alo,[$ap_l+$j] ! save smashed ap[j] in double format
+ fmuld $alo,$bc,$aloc
+ add %o7,%o1,%o1
+ std $ahi,[$ap_h+$j]
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ srlx %o1,16,%o7
+ std $nlo,[$np_l+$j] ! save smashed np[j] in double format
+ fmuld $alo,$bd,$alod
+ add %o7,%o2,%o2
+ std $nhi,[$np_h+$j]
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ srlx %o2,16,%o7
+ fmuld $ahi,$ba,$ahia
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ !and %o0,$mask,%o0
+ !and %o1,$mask,%o1
+ !and %o2,$mask,%o2
+ !sllx %o1,16,%o1
+ !sllx %o2,32,%o2
+ !sllx %o3,48,%o7
+ !or %o1,%o0,%o0
+ !or %o2,%o0,%o0
+ !or %o7,%o0,%o0 ! 64-bit result
+ srlx %o3,16,%g1 ! 34-bit carry
+ fmuld $ahi,$bb,$ahib
+
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ fmuld $ahi,$bc,$ahic
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ fmuld $ahi,$bd,$ahid
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+
+ faddd $dota,$nloa,$nloa
+ faddd $dotb,$nlob,$nlob
+ faddd $ahic,$nhic,$dota ! $nhic
+ faddd $ahid,$nhid,$dotb ! $nhid
+
+ faddd $nloc,$nhia,$nloc
+ faddd $nlod,$nhib,$nlod
+
+ fdtox $nloa,$nloa
+ fdtox $nlob,$nlob
+ fdtox $nloc,$nloc
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ std $nlob,[%sp+$bias+$frame+8]
+ addcc $j,8,$j
+ std $nloc,[%sp+$bias+$frame+16]
+ bz,pn %icc,.L1stskip
+ std $nlod,[%sp+$bias+$frame+24]
+
+.align 32 ! incidentally already aligned !
+.L1st:
+ add $ap,$j,%o4
+ add $np,$j,%o5
+ ld [%o4+0],$alo_ ! load a[j] as pair of 32-bit words
+ fzeros $alo
+ ld [%o4+4],$ahi_
+ fzeros $ahi
+ ld [%o5+0],$nlo_ ! load n[j] as pair of 32-bit words
+ fzeros $nlo
+ ld [%o5+4],$nhi_
+ fzeros $nhi
+
+ fxtod $alo,$alo
+ fxtod $ahi,$ahi
+ fxtod $nlo,$nlo
+ fxtod $nhi,$nhi
+
+ ldx [%sp+$bias+$frame+0],%o0
+ fmuld $alo,$ba,$aloa
+ ldx [%sp+$bias+$frame+8],%o1
+ fmuld $nlo,$na,$nloa
+ ldx [%sp+$bias+$frame+16],%o2
+ fmuld $alo,$bb,$alob
+ ldx [%sp+$bias+$frame+24],%o3
+ fmuld $nlo,$nb,$nlob
+
+ srlx %o0,16,%o7
+ std $alo,[$ap_l+$j] ! save smashed ap[j] in double format
+ fmuld $alo,$bc,$aloc
+ add %o7,%o1,%o1
+ std $ahi,[$ap_h+$j]
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ srlx %o1,16,%o7
+ std $nlo,[$np_l+$j] ! save smashed np[j] in double format
+ fmuld $alo,$bd,$alod
+ add %o7,%o2,%o2
+ std $nhi,[$np_h+$j]
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ srlx %o2,16,%o7
+ fmuld $ahi,$ba,$ahia
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ and %o0,$mask,%o0
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ and %o1,$mask,%o1
+ and %o2,$mask,%o2
+ fmuld $ahi,$bb,$ahib
+ sllx %o1,16,%o1
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ sllx %o2,32,%o2
+ fmuld $ahi,$bc,$ahic
+ sllx %o3,48,%o7
+ or %o1,%o0,%o0
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ or %o2,%o0,%o0
+ fmuld $ahi,$bd,$ahid
+ or %o7,%o0,%o0 ! 64-bit result
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+ addcc %g1,%o0,%o0
+ faddd $dota,$nloa,$nloa
+ srlx %o3,16,%g1 ! 34-bit carry
+ faddd $dotb,$nlob,$nlob
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ stx %o0,[$tp] ! tp[j-1]=
+
+ faddd $ahic,$nhic,$dota ! $nhic
+ faddd $ahid,$nhid,$dotb ! $nhid
+
+ faddd $nloc,$nhia,$nloc
+ faddd $nlod,$nhib,$nlod
+
+ fdtox $nloa,$nloa
+ fdtox $nlob,$nlob
+ fdtox $nloc,$nloc
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ std $nlob,[%sp+$bias+$frame+8]
+ std $nloc,[%sp+$bias+$frame+16]
+ std $nlod,[%sp+$bias+$frame+24]
+
+ addcc $j,8,$j
+ bnz,pt %icc,.L1st
+ add $tp,8,$tp
+
+.L1stskip:
+ fdtox $dota,$dota
+ fdtox $dotb,$dotb
+
+ ldx [%sp+$bias+$frame+0],%o0
+ ldx [%sp+$bias+$frame+8],%o1
+ ldx [%sp+$bias+$frame+16],%o2
+ ldx [%sp+$bias+$frame+24],%o3
+
+ srlx %o0,16,%o7
+ std $dota,[%sp+$bias+$frame+32]
+ add %o7,%o1,%o1
+ std $dotb,[%sp+$bias+$frame+40]
+ srlx %o1,16,%o7
+ add %o7,%o2,%o2
+ srlx %o2,16,%o7
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ and %o0,$mask,%o0
+ and %o1,$mask,%o1
+ and %o2,$mask,%o2
+ sllx %o1,16,%o1
+ sllx %o2,32,%o2
+ sllx %o3,48,%o7
+ or %o1,%o0,%o0
+ or %o2,%o0,%o0
+ or %o7,%o0,%o0 ! 64-bit result
+ ldx [%sp+$bias+$frame+32],%o4
+ addcc %g1,%o0,%o0
+ ldx [%sp+$bias+$frame+40],%o5
+ srlx %o3,16,%g1 ! 34-bit carry
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ stx %o0,[$tp] ! tp[j-1]=
+ add $tp,8,$tp
+
+ srlx %o4,16,%o7
+ add %o7,%o5,%o5
+ and %o4,$mask,%o4
+ sllx %o5,16,%o7
+ or %o7,%o4,%o4
+ addcc %g1,%o4,%o4
+ srlx %o5,48,%g1
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ mov %g1,$carry
+ stx %o4,[$tp] ! tp[num-1]=
+
+ ba .Louter
+ add $i,8,$i
+.align 32
+.Louter:
+ sub %g0,$num,$j ! j=-num
+ add %sp,$bias+$frame+$locals,$tp
+
+ add $ap,$j,%o3
+ add $bp,$i,%o4
+
+ ld [%o3+4],%g1 ! bp[i]
+ ld [%o3+0],%o0
+ ld [%o4+4],%g5 ! ap[0]
+ sllx %g1,32,%g1
+ ld [%o4+0],%o1
+ sllx %g5,32,%g5
+ or %g1,%o0,%o0
+ or %g5,%o1,%o1
+
+ ldx [$tp],%o2 ! tp[0]
+ mulx %o1,%o0,%o0
+ addcc %o2,%o0,%o0
+ mulx $n0,%o0,%o0 ! (ap[0]*bp[i]+t[0])*n0
+ stx %o0,[%sp+$bias+$frame+0]
+
+ ! transfer b[i] to FPU as 4x16-bit values
+ ldda [%o4+2]%asi,$ba
+ ldda [%o4+0]%asi,$bb
+ ldda [%o4+6]%asi,$bc
+ ldda [%o4+4]%asi,$bd
+
+ ! transfer (ap[0]*b[i]+t[0])*n0 to FPU as 4x16-bit values
+ ldda [%sp+$bias+$frame+6]%asi,$na
+ fxtod $ba,$ba
+ ldda [%sp+$bias+$frame+4]%asi,$nb
+ fxtod $bb,$bb
+ ldda [%sp+$bias+$frame+2]%asi,$nc
+ fxtod $bc,$bc
+ ldda [%sp+$bias+$frame+0]%asi,$nd
+ fxtod $bd,$bd
+ ldd [$ap_l+$j],$alo ! load a[j] in double format
+ fxtod $na,$na
+ ldd [$ap_h+$j],$ahi
+ fxtod $nb,$nb
+ ldd [$np_l+$j],$nlo ! load n[j] in double format
+ fxtod $nc,$nc
+ ldd [$np_h+$j],$nhi
+ fxtod $nd,$nd
+
+ fmuld $alo,$ba,$aloa
+ fmuld $nlo,$na,$nloa
+ fmuld $alo,$bb,$alob
+ fmuld $nlo,$nb,$nlob
+ fmuld $alo,$bc,$aloc
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ fmuld $alo,$bd,$alod
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ fmuld $ahi,$ba,$ahia
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ fmuld $ahi,$bb,$ahib
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ fmuld $ahi,$bc,$ahic
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ fmuld $ahi,$bd,$ahid
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+
+ faddd $ahic,$nhic,$dota ! $nhic
+ faddd $ahid,$nhid,$dotb ! $nhid
+
+ faddd $nloc,$nhia,$nloc
+ faddd $nlod,$nhib,$nlod
+
+ fdtox $nloa,$nloa
+ fdtox $nlob,$nlob
+ fdtox $nloc,$nloc
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ std $nlob,[%sp+$bias+$frame+8]
+ std $nloc,[%sp+$bias+$frame+16]
+ add $j,8,$j
+ std $nlod,[%sp+$bias+$frame+24]
+
+ ldd [$ap_l+$j],$alo ! load a[j] in double format
+ ldd [$ap_h+$j],$ahi
+ ldd [$np_l+$j],$nlo ! load n[j] in double format
+ ldd [$np_h+$j],$nhi
+
+ fmuld $alo,$ba,$aloa
+ fmuld $nlo,$na,$nloa
+ fmuld $alo,$bb,$alob
+ fmuld $nlo,$nb,$nlob
+ fmuld $alo,$bc,$aloc
+ ldx [%sp+$bias+$frame+0],%o0
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ ldx [%sp+$bias+$frame+8],%o1
+ fmuld $alo,$bd,$alod
+ ldx [%sp+$bias+$frame+16],%o2
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ ldx [%sp+$bias+$frame+24],%o3
+ fmuld $ahi,$ba,$ahia
+
+ srlx %o0,16,%o7
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ add %o7,%o1,%o1
+ fmuld $ahi,$bb,$ahib
+ srlx %o1,16,%o7
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ add %o7,%o2,%o2
+ fmuld $ahi,$bc,$ahic
+ srlx %o2,16,%o7
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ ! why?
+ and %o0,$mask,%o0
+ fmuld $ahi,$bd,$ahid
+ and %o1,$mask,%o1
+ and %o2,$mask,%o2
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+ sllx %o1,16,%o1
+ faddd $dota,$nloa,$nloa
+ sllx %o2,32,%o2
+ faddd $dotb,$nlob,$nlob
+ sllx %o3,48,%o7
+ or %o1,%o0,%o0
+ faddd $ahic,$nhic,$dota ! $nhic
+ or %o2,%o0,%o0
+ faddd $ahid,$nhid,$dotb ! $nhid
+ or %o7,%o0,%o0 ! 64-bit result
+ ldx [$tp],%o7
+ faddd $nloc,$nhia,$nloc
+ addcc %o7,%o0,%o0
+ ! end-of-why?
+ faddd $nlod,$nhib,$nlod
+ srlx %o3,16,%g1 ! 34-bit carry
+ fdtox $nloa,$nloa
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ fdtox $nlob,$nlob
+ fdtox $nloc,$nloc
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ std $nlob,[%sp+$bias+$frame+8]
+ addcc $j,8,$j
+ std $nloc,[%sp+$bias+$frame+16]
+ bz,pn %icc,.Linnerskip
+ std $nlod,[%sp+$bias+$frame+24]
+
+ ba .Linner
+ nop
+.align 32
+.Linner:
+ ldd [$ap_l+$j],$alo ! load a[j] in double format
+ ldd [$ap_h+$j],$ahi
+ ldd [$np_l+$j],$nlo ! load n[j] in double format
+ ldd [$np_h+$j],$nhi
+
+ fmuld $alo,$ba,$aloa
+ fmuld $nlo,$na,$nloa
+ fmuld $alo,$bb,$alob
+ fmuld $nlo,$nb,$nlob
+ fmuld $alo,$bc,$aloc
+ ldx [%sp+$bias+$frame+0],%o0
+ faddd $aloa,$nloa,$nloa
+ fmuld $nlo,$nc,$nloc
+ ldx [%sp+$bias+$frame+8],%o1
+ fmuld $alo,$bd,$alod
+ ldx [%sp+$bias+$frame+16],%o2
+ faddd $alob,$nlob,$nlob
+ fmuld $nlo,$nd,$nlod
+ ldx [%sp+$bias+$frame+24],%o3
+ fmuld $ahi,$ba,$ahia
+
+ srlx %o0,16,%o7
+ faddd $aloc,$nloc,$nloc
+ fmuld $nhi,$na,$nhia
+ add %o7,%o1,%o1
+ fmuld $ahi,$bb,$ahib
+ srlx %o1,16,%o7
+ faddd $alod,$nlod,$nlod
+ fmuld $nhi,$nb,$nhib
+ add %o7,%o2,%o2
+ fmuld $ahi,$bc,$ahic
+ srlx %o2,16,%o7
+ faddd $ahia,$nhia,$nhia
+ fmuld $nhi,$nc,$nhic
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ and %o0,$mask,%o0
+ fmuld $ahi,$bd,$ahid
+ and %o1,$mask,%o1
+ and %o2,$mask,%o2
+ faddd $ahib,$nhib,$nhib
+ fmuld $nhi,$nd,$nhid
+ sllx %o1,16,%o1
+ faddd $dota,$nloa,$nloa
+ sllx %o2,32,%o2
+ faddd $dotb,$nlob,$nlob
+ sllx %o3,48,%o7
+ or %o1,%o0,%o0
+ faddd $ahic,$nhic,$dota ! $nhic
+ or %o2,%o0,%o0
+ faddd $ahid,$nhid,$dotb ! $nhid
+ or %o7,%o0,%o0 ! 64-bit result
+ faddd $nloc,$nhia,$nloc
+ addcc %g1,%o0,%o0
+ ldx [$tp+8],%o7 ! tp[j]
+ faddd $nlod,$nhib,$nlod
+ srlx %o3,16,%g1 ! 34-bit carry
+ fdtox $nloa,$nloa
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+ fdtox $nlob,$nlob
+ addcc %o7,%o0,%o0
+ fdtox $nloc,$nloc
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ stx %o0,[$tp] ! tp[j-1]
+ fdtox $nlod,$nlod
+
+ std $nloa,[%sp+$bias+$frame+0]
+ std $nlob,[%sp+$bias+$frame+8]
+ std $nloc,[%sp+$bias+$frame+16]
+ addcc $j,8,$j
+ std $nlod,[%sp+$bias+$frame+24]
+ bnz,pt %icc,.Linner
+ add $tp,8,$tp
+
+.Linnerskip:
+ fdtox $dota,$dota
+ fdtox $dotb,$dotb
+
+ ldx [%sp+$bias+$frame+0],%o0
+ ldx [%sp+$bias+$frame+8],%o1
+ ldx [%sp+$bias+$frame+16],%o2
+ ldx [%sp+$bias+$frame+24],%o3
+
+ srlx %o0,16,%o7
+ std $dota,[%sp+$bias+$frame+32]
+ add %o7,%o1,%o1
+ std $dotb,[%sp+$bias+$frame+40]
+ srlx %o1,16,%o7
+ add %o7,%o2,%o2
+ srlx %o2,16,%o7
+ add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
+ and %o0,$mask,%o0
+ and %o1,$mask,%o1
+ and %o2,$mask,%o2
+ sllx %o1,16,%o1
+ sllx %o2,32,%o2
+ sllx %o3,48,%o7
+ or %o1,%o0,%o0
+ or %o2,%o0,%o0
+ ldx [%sp+$bias+$frame+32],%o4
+ or %o7,%o0,%o0 ! 64-bit result
+ ldx [%sp+$bias+$frame+40],%o5
+ addcc %g1,%o0,%o0
+ ldx [$tp+8],%o7 ! tp[j]
+ srlx %o3,16,%g1 ! 34-bit carry
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ addcc %o7,%o0,%o0
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ stx %o0,[$tp] ! tp[j-1]
+ add $tp,8,$tp
+
+ srlx %o4,16,%o7
+ add %o7,%o5,%o5
+ and %o4,$mask,%o4
+ sllx %o5,16,%o7
+ or %o7,%o4,%o4
+ addcc %g1,%o4,%o4
+ srlx %o5,48,%g1
+ bcs,a %xcc,.+8
+ add %g1,1,%g1
+
+ addcc $carry,%o4,%o4
+ stx %o4,[$tp] ! tp[num-1]
+ mov %g1,$carry
+ bcs,a %xcc,.+8
+ add $carry,1,$carry
+
+ addcc $i,8,$i
+ bnz %icc,.Louter
+ nop
+
+ add $tp,8,$tp ! adjust tp to point at the end
+ orn %g0,%g0,%g4
+ sub %g0,$num,%o7 ! n=-num
+ ba .Lsub
+ subcc %g0,%g0,%g0 ! clear %icc.c
+
+.align 32
+.Lsub:
+ ldx [$tp+%o7],%o0
+ add $np,%o7,%g1
+ ld [%g1+0],%o2
+ ld [%g1+4],%o3
+ srlx %o0,32,%o1
+ subccc %o0,%o2,%o2
+ add $rp,%o7,%g1
+ subccc %o1,%o3,%o3
+ st %o2,[%g1+0]
+ add %o7,8,%o7
+ brnz,pt %o7,.Lsub
+ st %o3,[%g1+4]
+ subc $carry,0,%g4
+ sub %g0,$num,%o7 ! n=-num
+ ba .Lcopy
+ nop
+
+.align 32
+.Lcopy:
+ ldx [$tp+%o7],%o0
+ add $rp,%o7,%g1
+ ld [%g1+0],%o2
+ ld [%g1+4],%o3
+ stx %g0,[$tp+%o7]
+ and %o0,%g4,%o0
+ srlx %o0,32,%o1
+ andn %o2,%g4,%o2
+ andn %o3,%g4,%o3
+ or %o2,%o0,%o0
+ or %o3,%o1,%o1
+ st %o0,[%g1+0]
+ add %o7,8,%o7
+ brnz,pt %o7,.Lcopy
+ st %o1,[%g1+4]
+ sub %g0,$num,%o7 ! n=-num
+
+.Lzap:
+ stx %g0,[$ap_l+%o7]
+ stx %g0,[$ap_h+%o7]
+ stx %g0,[$np_l+%o7]
+ stx %g0,[$np_h+%o7]
+ add %o7,8,%o7
+ brnz,pt %o7,.Lzap
+ nop
+
+ ldx [%sp+$bias+$frame+48],%o7
+ wr %g0,%o7,%asi ! restore %asi
+
+ mov 1,%i0
+.Lret:
+ ret
+ restore
+.type $fname,#function
+.size $fname,(.-$fname)
+.asciz "Montgomery Multipltication for UltraSPARC, CRYPTOGAMS by <appro\@openssl.org>"
+.align 32
+___
+
+$code =~ s/\`([^\`]*)\`/eval($1)/gem;
+
+# Below substitution makes it possible to compile without demanding
+# VIS extentions on command line, e.g. -xarch=v9 vs. -xarch=v9a. I
+# dare to do this, because VIS capability is detected at run-time now
+# and this routine is not called on CPU not capable to execute it. Do
+# note that fzeros is not the only VIS dependency! Another dependency
+# is implicit and is just _a_ numerical value loaded to %asi register,
+# which assembler can't recognize as VIS specific...
+$code =~ s/fzeros\s+%f([0-9]+)/
+ sprintf(".word\t0x%x\t! fzeros %%f%d",0x81b00c20|($1<<25),$1)
+ /gem;
+
+print $code;
+# flush
+close STDOUT;
diff --git a/openssl/crypto/bn/asm/via-mont.pl b/openssl/crypto/bn/asm/via-mont.pl
new file mode 100644
index 00000000..c046a514
--- /dev/null
+++ b/openssl/crypto/bn/asm/via-mont.pl
@@ -0,0 +1,242 @@
+#!/usr/bin/env perl
+#
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+#
+# Wrapper around 'rep montmul', VIA-specific instruction accessing
+# PadLock Montgomery Multiplier. The wrapper is designed as drop-in
+# replacement for OpenSSL bn_mul_mont [first implemented in 0.9.9].
+#
+# Below are interleaved outputs from 'openssl speed rsa dsa' for 4
+# different software configurations on 1.5GHz VIA Esther processor.
+# Lines marked with "software integer" denote performance of hand-
+# coded integer-only assembler found in OpenSSL 0.9.7. "Software SSE2"
+# refers to hand-coded SSE2 Montgomery multiplication procedure found
+# OpenSSL 0.9.9. "Hardware VIA SDK" refers to padlock_pmm routine from
+# Padlock SDK 2.0.1 available for download from VIA, which naturally
+# utilizes the magic 'repz montmul' instruction. And finally "hardware
+# this" refers to *this* implementation which also uses 'repz montmul'
+#
+# sign verify sign/s verify/s
+# rsa 512 bits 0.001720s 0.000140s 581.4 7149.7 software integer
+# rsa 512 bits 0.000690s 0.000086s 1450.3 11606.0 software SSE2
+# rsa 512 bits 0.006136s 0.000201s 163.0 4974.5 hardware VIA SDK
+# rsa 512 bits 0.000712s 0.000050s 1404.9 19858.5 hardware this
+#
+# rsa 1024 bits 0.008518s 0.000413s 117.4 2420.8 software integer
+# rsa 1024 bits 0.004275s 0.000277s 233.9 3609.7 software SSE2
+# rsa 1024 bits 0.012136s 0.000260s 82.4 3844.5 hardware VIA SDK
+# rsa 1024 bits 0.002522s 0.000116s 396.5 8650.9 hardware this
+#
+# rsa 2048 bits 0.050101s 0.001371s 20.0 729.6 software integer
+# rsa 2048 bits 0.030273s 0.001008s 33.0 991.9 software SSE2
+# rsa 2048 bits 0.030833s 0.000976s 32.4 1025.1 hardware VIA SDK
+# rsa 2048 bits 0.011879s 0.000342s 84.2 2921.7 hardware this
+#
+# rsa 4096 bits 0.327097s 0.004859s 3.1 205.8 software integer
+# rsa 4096 bits 0.229318s 0.003859s 4.4 259.2 software SSE2
+# rsa 4096 bits 0.233953s 0.003274s 4.3 305.4 hardware VIA SDK
+# rsa 4096 bits 0.070493s 0.001166s 14.2 857.6 hardware this
+#
+# dsa 512 bits 0.001342s 0.001651s 745.2 605.7 software integer
+# dsa 512 bits 0.000844s 0.000987s 1185.3 1013.1 software SSE2
+# dsa 512 bits 0.001902s 0.002247s 525.6 444.9 hardware VIA SDK
+# dsa 512 bits 0.000458s 0.000524s 2182.2 1909.1 hardware this
+#
+# dsa 1024 bits 0.003964s 0.004926s 252.3 203.0 software integer
+# dsa 1024 bits 0.002686s 0.003166s 372.3 315.8 software SSE2
+# dsa 1024 bits 0.002397s 0.002823s 417.1 354.3 hardware VIA SDK
+# dsa 1024 bits 0.000978s 0.001170s 1022.2 855.0 hardware this
+#
+# dsa 2048 bits 0.013280s 0.016518s 75.3 60.5 software integer
+# dsa 2048 bits 0.009911s 0.011522s 100.9 86.8 software SSE2
+# dsa 2048 bits 0.009542s 0.011763s 104.8 85.0 hardware VIA SDK
+# dsa 2048 bits 0.002884s 0.003352s 346.8 298.3 hardware this
+#
+# To give you some other reference point here is output for 2.4GHz P4
+# running hand-coded SSE2 bn_mul_mont found in 0.9.9, i.e. "software
+# SSE2" in above terms.
+#
+# rsa 512 bits 0.000407s 0.000047s 2454.2 21137.0
+# rsa 1024 bits 0.002426s 0.000141s 412.1 7100.0
+# rsa 2048 bits 0.015046s 0.000491s 66.5 2034.9
+# rsa 4096 bits 0.109770s 0.002379s 9.1 420.3
+# dsa 512 bits 0.000438s 0.000525s 2281.1 1904.1
+# dsa 1024 bits 0.001346s 0.001595s 742.7 627.0
+# dsa 2048 bits 0.004745s 0.005582s 210.7 179.1
+#
+# Conclusions:
+# - VIA SDK leaves a *lot* of room for improvement (which this
+# implementation successfully fills:-);
+# - 'rep montmul' gives up to >3x performance improvement depending on
+# key length;
+# - in terms of absolute performance it delivers approximately as much
+# as modern out-of-order 32-bit cores [again, for longer keys].
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
+require "x86asm.pl";
+
+&asm_init($ARGV[0],"via-mont.pl");
+
+# int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num);
+$func="bn_mul_mont_padlock";
+
+$pad=16*1; # amount of reserved bytes on top of every vector
+
+# stack layout
+$mZeroPrime=&DWP(0,"esp"); # these are specified by VIA
+$A=&DWP(4,"esp");
+$B=&DWP(8,"esp");
+$T=&DWP(12,"esp");
+$M=&DWP(16,"esp");
+$scratch=&DWP(20,"esp");
+$rp=&DWP(24,"esp"); # these are mine
+$sp=&DWP(28,"esp");
+# &DWP(32,"esp") # 32 byte scratch area
+# &DWP(64+(4*$num+$pad)*0,"esp") # padded tp[num]
+# &DWP(64+(4*$num+$pad)*1,"esp") # padded copy of ap[num]
+# &DWP(64+(4*$num+$pad)*2,"esp") # padded copy of bp[num]
+# &DWP(64+(4*$num+$pad)*3,"esp") # padded copy of np[num]
+# Note that SDK suggests to unconditionally allocate 2K per vector. This
+# has quite an impact on performance. It naturally depends on key length,
+# but to give an example 1024 bit private RSA key operations suffer >30%
+# penalty. I allocate only as much as actually required...
+
+&function_begin($func);
+ &xor ("eax","eax");
+ &mov ("ecx",&wparam(5)); # num
+ # meet VIA's limitations for num [note that the specification
+ # expresses them in bits, while we work with amount of 32-bit words]
+ &test ("ecx",3);
+ &jnz (&label("leave")); # num % 4 != 0
+ &cmp ("ecx",8);
+ &jb (&label("leave")); # num < 8
+ &cmp ("ecx",1024);
+ &ja (&label("leave")); # num > 1024
+
+ &pushf ();
+ &cld ();
+
+ &mov ("edi",&wparam(0)); # rp
+ &mov ("eax",&wparam(1)); # ap
+ &mov ("ebx",&wparam(2)); # bp
+ &mov ("edx",&wparam(3)); # np
+ &mov ("esi",&wparam(4)); # n0
+ &mov ("esi",&DWP(0,"esi")); # *n0
+
+ &lea ("ecx",&DWP($pad,"","ecx",4)); # ecx becomes vector size in bytes
+ &lea ("ebp",&DWP(64,"","ecx",4)); # allocate 4 vectors + 64 bytes
+ &neg ("ebp");
+ &add ("ebp","esp");
+ &and ("ebp",-64); # align to cache-line
+ &xchg ("ebp","esp"); # alloca
+
+ &mov ($rp,"edi"); # save rp
+ &mov ($sp,"ebp"); # save esp
+
+ &mov ($mZeroPrime,"esi");
+ &lea ("esi",&DWP(64,"esp")); # tp
+ &mov ($T,"esi");
+ &lea ("edi",&DWP(32,"esp")); # scratch area
+ &mov ($scratch,"edi");
+ &mov ("esi","eax");
+
+ &lea ("ebp",&DWP(-$pad,"ecx"));
+ &shr ("ebp",2); # restore original num value in ebp
+
+ &xor ("eax","eax");
+
+ &mov ("ecx","ebp");
+ &lea ("ecx",&DWP((32+$pad)/4,"ecx"));# padded tp + scratch
+ &data_byte(0xf3,0xab); # rep stosl, bzero
+
+ &mov ("ecx","ebp");
+ &lea ("edi",&DWP(64+$pad,"esp","ecx",4));# pointer to ap copy
+ &mov ($A,"edi");
+ &data_byte(0xf3,0xa5); # rep movsl, memcpy
+ &mov ("ecx",$pad/4);
+ &data_byte(0xf3,0xab); # rep stosl, bzero pad
+ # edi points at the end of padded ap copy...
+
+ &mov ("ecx","ebp");
+ &mov ("esi","ebx");
+ &mov ($B,"edi");
+ &data_byte(0xf3,0xa5); # rep movsl, memcpy
+ &mov ("ecx",$pad/4);
+ &data_byte(0xf3,0xab); # rep stosl, bzero pad
+ # edi points at the end of padded bp copy...
+
+ &mov ("ecx","ebp");
+ &mov ("esi","edx");
+ &mov ($M,"edi");
+ &data_byte(0xf3,0xa5); # rep movsl, memcpy
+ &mov ("ecx",$pad/4);
+ &data_byte(0xf3,0xab); # rep stosl, bzero pad
+ # edi points at the end of padded np copy...
+
+ # let magic happen...
+ &mov ("ecx","ebp");
+ &mov ("esi","esp");
+ &shl ("ecx",5); # convert word counter to bit counter
+ &align (4);
+ &data_byte(0xf3,0x0f,0xa6,0xc0);# rep montmul
+
+ &mov ("ecx","ebp");
+ &lea ("esi",&DWP(64,"esp")); # tp
+ # edi still points at the end of padded np copy...
+ &neg ("ebp");
+ &lea ("ebp",&DWP(-$pad,"edi","ebp",4)); # so just "rewind"
+ &mov ("edi",$rp); # restore rp
+ &xor ("edx","edx"); # i=0 and clear CF
+
+&set_label("sub",8);
+ &mov ("eax",&DWP(0,"esi","edx",4));
+ &sbb ("eax",&DWP(0,"ebp","edx",4));
+ &mov (&DWP(0,"edi","edx",4),"eax"); # rp[i]=tp[i]-np[i]
+ &lea ("edx",&DWP(1,"edx")); # i++
+ &loop (&label("sub")); # doesn't affect CF!
+
+ &mov ("eax",&DWP(0,"esi","edx",4)); # upmost overflow bit
+ &sbb ("eax",0);
+ &and ("esi","eax");
+ &not ("eax");
+ &mov ("ebp","edi");
+ &and ("ebp","eax");
+ &or ("esi","ebp"); # tp=carry?tp:rp
+
+ &mov ("ecx","edx"); # num
+ &xor ("edx","edx"); # i=0
+
+&set_label("copy",8);
+ &mov ("eax",&DWP(0,"esi","edx",4));
+ &mov (&DWP(64,"esp","edx",4),"ecx"); # zap tp
+ &mov (&DWP(0,"edi","edx",4),"eax");
+ &lea ("edx",&DWP(1,"edx")); # i++
+ &loop (&label("copy"));
+
+ &mov ("ebp",$sp);
+ &xor ("eax","eax");
+
+ &mov ("ecx",64/4);
+ &mov ("edi","esp"); # zap frame including scratch area
+ &data_byte(0xf3,0xab); # rep stosl, bzero
+
+ # zap copies of ap, bp and np
+ &lea ("edi",&DWP(64+$pad,"esp","edx",4));# pointer to ap
+ &lea ("ecx",&DWP(3*$pad/4,"edx","edx",2));
+ &data_byte(0xf3,0xab); # rep stosl, bzero
+
+ &mov ("esp","ebp");
+ &inc ("eax"); # signal "done"
+ &popf ();
+&set_label("leave");
+&function_end($func);
+
+&asciz("Padlock Montgomery Multiplication, CRYPTOGAMS by <appro\@openssl.org>");
+
+&asm_finish();
diff --git a/openssl/crypto/bn/asm/x86-mont.pl b/openssl/crypto/bn/asm/x86-mont.pl
new file mode 100755
index 00000000..5cd3cd2e
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86-mont.pl
@@ -0,0 +1,591 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# October 2005
+#
+# This is a "teaser" code, as it can be improved in several ways...
+# First of all non-SSE2 path should be implemented (yes, for now it
+# performs Montgomery multiplication/convolution only on SSE2-capable
+# CPUs such as P4, others fall down to original code). Then inner loop
+# can be unrolled and modulo-scheduled to improve ILP and possibly
+# moved to 128-bit XMM register bank (though it would require input
+# rearrangement and/or increase bus bandwidth utilization). Dedicated
+# squaring procedure should give further performance improvement...
+# Yet, for being draft, the code improves rsa512 *sign* benchmark by
+# 110%(!), rsa1024 one - by 70% and rsa4096 - by 20%:-)
+
+# December 2006
+#
+# Modulo-scheduling SSE2 loops results in further 15-20% improvement.
+# Integer-only code [being equipped with dedicated squaring procedure]
+# gives ~40% on rsa512 sign benchmark...
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
+require "x86asm.pl";
+
+&asm_init($ARGV[0],$0);
+
+$sse2=0;
+for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
+
+&external_label("OPENSSL_ia32cap_P") if ($sse2);
+
+&function_begin("bn_mul_mont");
+
+$i="edx";
+$j="ecx";
+$ap="esi"; $tp="esi"; # overlapping variables!!!
+$rp="edi"; $bp="edi"; # overlapping variables!!!
+$np="ebp";
+$num="ebx";
+
+$_num=&DWP(4*0,"esp"); # stack top layout
+$_rp=&DWP(4*1,"esp");
+$_ap=&DWP(4*2,"esp");
+$_bp=&DWP(4*3,"esp");
+$_np=&DWP(4*4,"esp");
+$_n0=&DWP(4*5,"esp"); $_n0q=&QWP(4*5,"esp");
+$_sp=&DWP(4*6,"esp");
+$_bpend=&DWP(4*7,"esp");
+$frame=32; # size of above frame rounded up to 16n
+
+ &xor ("eax","eax");
+ &mov ("edi",&wparam(5)); # int num
+ &cmp ("edi",4);
+ &jl (&label("just_leave"));
+
+ &lea ("esi",&wparam(0)); # put aside pointer to argument block
+ &lea ("edx",&wparam(1)); # load ap
+ &mov ("ebp","esp"); # saved stack pointer!
+ &add ("edi",2); # extra two words on top of tp
+ &neg ("edi");
+ &lea ("esp",&DWP(-$frame,"esp","edi",4)); # alloca($frame+4*(num+2))
+ &neg ("edi");
+
+ # minimize cache contention by arraning 2K window between stack
+ # pointer and ap argument [np is also position sensitive vector,
+ # but it's assumed to be near ap, as it's allocated at ~same
+ # time].
+ &mov ("eax","esp");
+ &sub ("eax","edx");
+ &and ("eax",2047);
+ &sub ("esp","eax"); # this aligns sp and ap modulo 2048
+
+ &xor ("edx","esp");
+ &and ("edx",2048);
+ &xor ("edx",2048);
+ &sub ("esp","edx"); # this splits them apart modulo 4096
+
+ &and ("esp",-64); # align to cache line
+
+ ################################# load argument block...
+ &mov ("eax",&DWP(0*4,"esi"));# BN_ULONG *rp
+ &mov ("ebx",&DWP(1*4,"esi"));# const BN_ULONG *ap
+ &mov ("ecx",&DWP(2*4,"esi"));# const BN_ULONG *bp
+ &mov ("edx",&DWP(3*4,"esi"));# const BN_ULONG *np
+ &mov ("esi",&DWP(4*4,"esi"));# const BN_ULONG *n0
+ #&mov ("edi",&DWP(5*4,"esi"));# int num
+
+ &mov ("esi",&DWP(0,"esi")); # pull n0[0]
+ &mov ($_rp,"eax"); # ... save a copy of argument block
+ &mov ($_ap,"ebx");
+ &mov ($_bp,"ecx");
+ &mov ($_np,"edx");
+ &mov ($_n0,"esi");
+ &lea ($num,&DWP(-3,"edi")); # num=num-1 to assist modulo-scheduling
+ #&mov ($_num,$num); # redundant as $num is not reused
+ &mov ($_sp,"ebp"); # saved stack pointer!
+
+if($sse2) {
+$acc0="mm0"; # mmx register bank layout
+$acc1="mm1";
+$car0="mm2";
+$car1="mm3";
+$mul0="mm4";
+$mul1="mm5";
+$temp="mm6";
+$mask="mm7";
+
+ &picmeup("eax","OPENSSL_ia32cap_P");
+ &bt (&DWP(0,"eax"),26);
+ &jnc (&label("non_sse2"));
+
+ &mov ("eax",-1);
+ &movd ($mask,"eax"); # mask 32 lower bits
+
+ &mov ($ap,$_ap); # load input pointers
+ &mov ($bp,$_bp);
+ &mov ($np,$_np);
+
+ &xor ($i,$i); # i=0
+ &xor ($j,$j); # j=0
+
+ &movd ($mul0,&DWP(0,$bp)); # bp[0]
+ &movd ($mul1,&DWP(0,$ap)); # ap[0]
+ &movd ($car1,&DWP(0,$np)); # np[0]
+
+ &pmuludq($mul1,$mul0); # ap[0]*bp[0]
+ &movq ($car0,$mul1);
+ &movq ($acc0,$mul1); # I wish movd worked for
+ &pand ($acc0,$mask); # inter-register transfers
+
+ &pmuludq($mul1,$_n0q); # *=n0
+
+ &pmuludq($car1,$mul1); # "t[0]"*np[0]*n0
+ &paddq ($car1,$acc0);
+
+ &movd ($acc1,&DWP(4,$np)); # np[1]
+ &movd ($acc0,&DWP(4,$ap)); # ap[1]
+
+ &psrlq ($car0,32);
+ &psrlq ($car1,32);
+
+ &inc ($j); # j++
+&set_label("1st",16);
+ &pmuludq($acc0,$mul0); # ap[j]*bp[0]
+ &pmuludq($acc1,$mul1); # np[j]*m1
+ &paddq ($car0,$acc0); # +=c0
+ &paddq ($car1,$acc1); # +=c1
+
+ &movq ($acc0,$car0);
+ &pand ($acc0,$mask);
+ &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
+ &paddq ($car1,$acc0); # +=ap[j]*bp[0];
+ &movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1]
+ &psrlq ($car0,32);
+ &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[j-1]=
+ &psrlq ($car1,32);
+
+ &lea ($j,&DWP(1,$j));
+ &cmp ($j,$num);
+ &jl (&label("1st"));
+
+ &pmuludq($acc0,$mul0); # ap[num-1]*bp[0]
+ &pmuludq($acc1,$mul1); # np[num-1]*m1
+ &paddq ($car0,$acc0); # +=c0
+ &paddq ($car1,$acc1); # +=c1
+
+ &movq ($acc0,$car0);
+ &pand ($acc0,$mask);
+ &paddq ($car1,$acc0); # +=ap[num-1]*bp[0];
+ &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]=
+
+ &psrlq ($car0,32);
+ &psrlq ($car1,32);
+
+ &paddq ($car1,$car0);
+ &movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
+
+ &inc ($i); # i++
+&set_label("outer");
+ &xor ($j,$j); # j=0
+
+ &movd ($mul0,&DWP(0,$bp,$i,4)); # bp[i]
+ &movd ($mul1,&DWP(0,$ap)); # ap[0]
+ &movd ($temp,&DWP($frame,"esp")); # tp[0]
+ &movd ($car1,&DWP(0,$np)); # np[0]
+ &pmuludq($mul1,$mul0); # ap[0]*bp[i]
+
+ &paddq ($mul1,$temp); # +=tp[0]
+ &movq ($acc0,$mul1);
+ &movq ($car0,$mul1);
+ &pand ($acc0,$mask);
+
+ &pmuludq($mul1,$_n0q); # *=n0
+
+ &pmuludq($car1,$mul1);
+ &paddq ($car1,$acc0);
+
+ &movd ($temp,&DWP($frame+4,"esp")); # tp[1]
+ &movd ($acc1,&DWP(4,$np)); # np[1]
+ &movd ($acc0,&DWP(4,$ap)); # ap[1]
+
+ &psrlq ($car0,32);
+ &psrlq ($car1,32);
+ &paddq ($car0,$temp); # +=tp[1]
+
+ &inc ($j); # j++
+ &dec ($num);
+&set_label("inner");
+ &pmuludq($acc0,$mul0); # ap[j]*bp[i]
+ &pmuludq($acc1,$mul1); # np[j]*m1
+ &paddq ($car0,$acc0); # +=c0
+ &paddq ($car1,$acc1); # +=c1
+
+ &movq ($acc0,$car0);
+ &movd ($temp,&DWP($frame+4,"esp",$j,4));# tp[j+1]
+ &pand ($acc0,$mask);
+ &movd ($acc1,&DWP(4,$np,$j,4)); # np[j+1]
+ &paddq ($car1,$acc0); # +=ap[j]*bp[i]+tp[j]
+ &movd ($acc0,&DWP(4,$ap,$j,4)); # ap[j+1]
+ &psrlq ($car0,32);
+ &movd (&DWP($frame-4,"esp",$j,4),$car1);# tp[j-1]=
+ &psrlq ($car1,32);
+ &paddq ($car0,$temp); # +=tp[j+1]
+
+ &dec ($num);
+ &lea ($j,&DWP(1,$j)); # j++
+ &jnz (&label("inner"));
+
+ &mov ($num,$j);
+ &pmuludq($acc0,$mul0); # ap[num-1]*bp[i]
+ &pmuludq($acc1,$mul1); # np[num-1]*m1
+ &paddq ($car0,$acc0); # +=c0
+ &paddq ($car1,$acc1); # +=c1
+
+ &movq ($acc0,$car0);
+ &pand ($acc0,$mask);
+ &paddq ($car1,$acc0); # +=ap[num-1]*bp[i]+tp[num-1]
+ &movd (&DWP($frame-4,"esp",$j,4),$car1); # tp[num-2]=
+ &psrlq ($car0,32);
+ &psrlq ($car1,32);
+
+ &movd ($temp,&DWP($frame+4,"esp",$num,4)); # += tp[num]
+ &paddq ($car1,$car0);
+ &paddq ($car1,$temp);
+ &movq (&QWP($frame,"esp",$num,4),$car1); # tp[num].tp[num-1]
+
+ &lea ($i,&DWP(1,$i)); # i++
+ &cmp ($i,$num);
+ &jle (&label("outer"));
+
+ &emms (); # done with mmx bank
+ &jmp (&label("common_tail"));
+
+&set_label("non_sse2",16);
+}
+
+if (0) {
+ &mov ("esp",$_sp);
+ &xor ("eax","eax"); # signal "not fast enough [yet]"
+ &jmp (&label("just_leave"));
+ # While the below code provides competitive performance for
+ # all key lengthes on modern Intel cores, it's still more
+ # than 10% slower for 4096-bit key elsewhere:-( "Competitive"
+ # means compared to the original integer-only assembler.
+ # 512-bit RSA sign is better by ~40%, but that's about all
+ # one can say about all CPUs...
+} else {
+$inp="esi"; # integer path uses these registers differently
+$word="edi";
+$carry="ebp";
+
+ &mov ($inp,$_ap);
+ &lea ($carry,&DWP(1,$num));
+ &mov ($word,$_bp);
+ &xor ($j,$j); # j=0
+ &mov ("edx",$inp);
+ &and ($carry,1); # see if num is even
+ &sub ("edx",$word); # see if ap==bp
+ &lea ("eax",&DWP(4,$word,$num,4)); # &bp[num]
+ &or ($carry,"edx");
+ &mov ($word,&DWP(0,$word)); # bp[0]
+ &jz (&label("bn_sqr_mont"));
+ &mov ($_bpend,"eax");
+ &mov ("eax",&DWP(0,$inp));
+ &xor ("edx","edx");
+
+&set_label("mull",16);
+ &mov ($carry,"edx");
+ &mul ($word); # ap[j]*bp[0]
+ &add ($carry,"eax");
+ &lea ($j,&DWP(1,$j));
+ &adc ("edx",0);
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1]
+ &cmp ($j,$num);
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("mull"));
+
+ &mov ($carry,"edx");
+ &mul ($word); # ap[num-1]*bp[0]
+ &mov ($word,$_n0);
+ &add ("eax",$carry);
+ &mov ($inp,$_np);
+ &adc ("edx",0);
+ &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
+
+ &mov (&DWP($frame,"esp",$num,4),"eax"); # tp[num-1]=
+ &xor ($j,$j);
+ &mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]=
+ &mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]=
+
+ &mov ("eax",&DWP(0,$inp)); # np[0]
+ &mul ($word); # np[0]*m
+ &add ("eax",&DWP($frame,"esp")); # +=tp[0]
+ &mov ("eax",&DWP(4,$inp)); # np[1]
+ &adc ("edx",0);
+ &inc ($j);
+
+ &jmp (&label("2ndmadd"));
+
+&set_label("1stmadd",16);
+ &mov ($carry,"edx");
+ &mul ($word); # ap[j]*bp[i]
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
+ &lea ($j,&DWP(1,$j));
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j+1]
+ &adc ("edx",0);
+ &cmp ($j,$num);
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("1stmadd"));
+
+ &mov ($carry,"edx");
+ &mul ($word); # ap[num-1]*bp[i]
+ &add ("eax",&DWP($frame,"esp",$num,4)); # +=tp[num-1]
+ &mov ($word,$_n0);
+ &adc ("edx",0);
+ &mov ($inp,$_np);
+ &add ($carry,"eax");
+ &adc ("edx",0);
+ &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
+
+ &xor ($j,$j);
+ &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num]
+ &mov (&DWP($frame,"esp",$num,4),$carry); # tp[num-1]=
+ &adc ($j,0);
+ &mov ("eax",&DWP(0,$inp)); # np[0]
+ &mov (&DWP($frame+4,"esp",$num,4),"edx"); # tp[num]=
+ &mov (&DWP($frame+8,"esp",$num,4),$j); # tp[num+1]=
+
+ &mul ($word); # np[0]*m
+ &add ("eax",&DWP($frame,"esp")); # +=tp[0]
+ &mov ("eax",&DWP(4,$inp)); # np[1]
+ &adc ("edx",0);
+ &mov ($j,1);
+
+&set_label("2ndmadd",16);
+ &mov ($carry,"edx");
+ &mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
+ &lea ($j,&DWP(1,$j));
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(0,$inp,$j,4)); # np[j+1]
+ &adc ("edx",0);
+ &cmp ($j,$num);
+ &mov (&DWP($frame-8,"esp",$j,4),$carry); # tp[j-1]=
+ &jl (&label("2ndmadd"));
+
+ &mov ($carry,"edx");
+ &mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$num,4)); # +=tp[num-1]
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &adc ("edx",0);
+ &mov (&DWP($frame-4,"esp",$num,4),$carry); # tp[num-2]=
+
+ &xor ("eax","eax");
+ &mov ($j,$_bp); # &bp[i]
+ &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num]
+ &adc ("eax",&DWP($frame+8,"esp",$num,4)); # +=tp[num+1]
+ &lea ($j,&DWP(4,$j));
+ &mov (&DWP($frame,"esp",$num,4),"edx"); # tp[num-1]=
+ &cmp ($j,$_bpend);
+ &mov (&DWP($frame+4,"esp",$num,4),"eax"); # tp[num]=
+ &je (&label("common_tail"));
+
+ &mov ($word,&DWP(0,$j)); # bp[i+1]
+ &mov ($inp,$_ap);
+ &mov ($_bp,$j); # &bp[++i]
+ &xor ($j,$j);
+ &xor ("edx","edx");
+ &mov ("eax",&DWP(0,$inp));
+ &jmp (&label("1stmadd"));
+
+&set_label("bn_sqr_mont",16);
+$sbit=$num;
+ &mov ($_num,$num);
+ &mov ($_bp,$j); # i=0
+
+ &mov ("eax",$word); # ap[0]
+ &mul ($word); # ap[0]*ap[0]
+ &mov (&DWP($frame,"esp"),"eax"); # tp[0]=
+ &mov ($sbit,"edx");
+ &shr ("edx",1);
+ &and ($sbit,1);
+ &inc ($j);
+&set_label("sqr",16);
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
+ &mov ($carry,"edx");
+ &mul ($word); # ap[j]*ap[0]
+ &add ("eax",$carry);
+ &lea ($j,&DWP(1,$j));
+ &adc ("edx",0);
+ &lea ($carry,&DWP(0,$sbit,"eax",2));
+ &shr ("eax",31);
+ &cmp ($j,$_num);
+ &mov ($sbit,"eax");
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("sqr"));
+
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[num-1]
+ &mov ($carry,"edx");
+ &mul ($word); # ap[num-1]*ap[0]
+ &add ("eax",$carry);
+ &mov ($word,$_n0);
+ &adc ("edx",0);
+ &mov ($inp,$_np);
+ &lea ($carry,&DWP(0,$sbit,"eax",2));
+ &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
+ &shr ("eax",31);
+ &mov (&DWP($frame,"esp",$j,4),$carry); # tp[num-1]=
+
+ &lea ($carry,&DWP(0,"eax","edx",2));
+ &mov ("eax",&DWP(0,$inp)); # np[0]
+ &shr ("edx",31);
+ &mov (&DWP($frame+4,"esp",$j,4),$carry); # tp[num]=
+ &mov (&DWP($frame+8,"esp",$j,4),"edx"); # tp[num+1]=
+
+ &mul ($word); # np[0]*m
+ &add ("eax",&DWP($frame,"esp")); # +=tp[0]
+ &mov ($num,$j);
+ &adc ("edx",0);
+ &mov ("eax",&DWP(4,$inp)); # np[1]
+ &mov ($j,1);
+
+&set_label("3rdmadd",16);
+ &mov ($carry,"edx");
+ &mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(4,$inp,$j,4)); # np[j+1]
+ &adc ("edx",0);
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j-1]=
+
+ &mov ($carry,"edx");
+ &mul ($word); # np[j+1]*m
+ &add ($carry,&DWP($frame+4,"esp",$j,4)); # +=tp[j+1]
+ &lea ($j,&DWP(2,$j));
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &mov ("eax",&DWP(0,$inp,$j,4)); # np[j+2]
+ &adc ("edx",0);
+ &cmp ($j,$num);
+ &mov (&DWP($frame-8,"esp",$j,4),$carry); # tp[j]=
+ &jl (&label("3rdmadd"));
+
+ &mov ($carry,"edx");
+ &mul ($word); # np[j]*m
+ &add ($carry,&DWP($frame,"esp",$num,4)); # +=tp[num-1]
+ &adc ("edx",0);
+ &add ($carry,"eax");
+ &adc ("edx",0);
+ &mov (&DWP($frame-4,"esp",$num,4),$carry); # tp[num-2]=
+
+ &mov ($j,$_bp); # i
+ &xor ("eax","eax");
+ &mov ($inp,$_ap);
+ &add ("edx",&DWP($frame+4,"esp",$num,4)); # carry+=tp[num]
+ &adc ("eax",&DWP($frame+8,"esp",$num,4)); # +=tp[num+1]
+ &mov (&DWP($frame,"esp",$num,4),"edx"); # tp[num-1]=
+ &cmp ($j,$num);
+ &mov (&DWP($frame+4,"esp",$num,4),"eax"); # tp[num]=
+ &je (&label("common_tail"));
+
+ &mov ($word,&DWP(4,$inp,$j,4)); # ap[i]
+ &lea ($j,&DWP(1,$j));
+ &mov ("eax",$word);
+ &mov ($_bp,$j); # ++i
+ &mul ($word); # ap[i]*ap[i]
+ &add ("eax",&DWP($frame,"esp",$j,4)); # +=tp[i]
+ &adc ("edx",0);
+ &mov (&DWP($frame,"esp",$j,4),"eax"); # tp[i]=
+ &xor ($carry,$carry);
+ &cmp ($j,$num);
+ &lea ($j,&DWP(1,$j));
+ &je (&label("sqrlast"));
+
+ &mov ($sbit,"edx"); # zaps $num
+ &shr ("edx",1);
+ &and ($sbit,1);
+&set_label("sqradd",16);
+ &mov ("eax",&DWP(0,$inp,$j,4)); # ap[j]
+ &mov ($carry,"edx");
+ &mul ($word); # ap[j]*ap[i]
+ &add ("eax",$carry);
+ &lea ($carry,&DWP(0,"eax","eax"));
+ &adc ("edx",0);
+ &shr ("eax",31);
+ &add ($carry,&DWP($frame,"esp",$j,4)); # +=tp[j]
+ &lea ($j,&DWP(1,$j));
+ &adc ("eax",0);
+ &add ($carry,$sbit);
+ &adc ("eax",0);
+ &cmp ($j,$_num);
+ &mov (&DWP($frame-4,"esp",$j,4),$carry); # tp[j]=
+ &mov ($sbit,"eax");
+ &jle (&label("sqradd"));
+
+ &mov ($carry,"edx");
+ &lea ("edx",&DWP(0,$sbit,"edx",2));
+ &shr ($carry,31);
+&set_label("sqrlast");
+ &mov ($word,$_n0);
+ &mov ($inp,$_np);
+ &imul ($word,&DWP($frame,"esp")); # n0*tp[0]
+
+ &add ("edx",&DWP($frame,"esp",$j,4)); # +=tp[num]
+ &mov ("eax",&DWP(0,$inp)); # np[0]
+ &adc ($carry,0);
+ &mov (&DWP($frame,"esp",$j,4),"edx"); # tp[num]=
+ &mov (&DWP($frame+4,"esp",$j,4),$carry); # tp[num+1]=
+
+ &mul ($word); # np[0]*m
+ &add ("eax",&DWP($frame,"esp")); # +=tp[0]
+ &lea ($num,&DWP(-1,$j));
+ &adc ("edx",0);
+ &mov ($j,1);
+ &mov ("eax",&DWP(4,$inp)); # np[1]
+
+ &jmp (&label("3rdmadd"));
+}
+
+&set_label("common_tail",16);
+ &mov ($np,$_np); # load modulus pointer
+ &mov ($rp,$_rp); # load result pointer
+ &lea ($tp,&DWP($frame,"esp")); # [$ap and $bp are zapped]
+
+ &mov ("eax",&DWP(0,$tp)); # tp[0]
+ &mov ($j,$num); # j=num-1
+ &xor ($i,$i); # i=0 and clear CF!
+
+&set_label("sub",16);
+ &sbb ("eax",&DWP(0,$np,$i,4));
+ &mov (&DWP(0,$rp,$i,4),"eax"); # rp[i]=tp[i]-np[i]
+ &dec ($j); # doesn't affect CF!
+ &mov ("eax",&DWP(4,$tp,$i,4)); # tp[i+1]
+ &lea ($i,&DWP(1,$i)); # i++
+ &jge (&label("sub"));
+
+ &sbb ("eax",0); # handle upmost overflow bit
+ &and ($tp,"eax");
+ &not ("eax");
+ &mov ($np,$rp);
+ &and ($np,"eax");
+ &or ($tp,$np); # tp=carry?tp:rp
+
+&set_label("copy",16); # copy or in-place refresh
+ &mov ("eax",&DWP(0,$tp,$num,4));
+ &mov (&DWP(0,$rp,$num,4),"eax"); # rp[i]=tp[i]
+ &mov (&DWP($frame,"esp",$num,4),$j); # zap temporary vector
+ &dec ($num);
+ &jge (&label("copy"));
+
+ &mov ("esp",$_sp); # pull saved stack pointer
+ &mov ("eax",1);
+&set_label("just_leave");
+&function_end("bn_mul_mont");
+
+&asciz("Montgomery Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>");
+
+&asm_finish();
diff --git a/openssl/crypto/bn/asm/x86.pl b/openssl/crypto/bn/asm/x86.pl
new file mode 100644
index 00000000..1bc4f1bb
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86.pl
@@ -0,0 +1,28 @@
+#!/usr/local/bin/perl
+
+push(@INC,"perlasm","../../perlasm");
+require "x86asm.pl";
+
+require("x86/mul_add.pl");
+require("x86/mul.pl");
+require("x86/sqr.pl");
+require("x86/div.pl");
+require("x86/add.pl");
+require("x86/sub.pl");
+require("x86/comba.pl");
+
+&asm_init($ARGV[0],$0);
+
+&bn_mul_add_words("bn_mul_add_words");
+&bn_mul_words("bn_mul_words");
+&bn_sqr_words("bn_sqr_words");
+&bn_div_words("bn_div_words");
+&bn_add_words("bn_add_words");
+&bn_sub_words("bn_sub_words");
+&bn_mul_comba("bn_mul_comba8",8);
+&bn_mul_comba("bn_mul_comba4",4);
+&bn_sqr_comba("bn_sqr_comba8",8);
+&bn_sqr_comba("bn_sqr_comba4",4);
+
+&asm_finish();
+
diff --git a/openssl/crypto/bn/asm/x86/add.pl b/openssl/crypto/bn/asm/x86/add.pl
new file mode 100644
index 00000000..0b5cf583
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/add.pl
@@ -0,0 +1,76 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_add_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $a="esi";
+ $b="edi";
+ $c="eax";
+ $r="ebx";
+ $tmp1="ecx";
+ $tmp2="edx";
+ $num="ebp";
+
+ &mov($r,&wparam(0)); # get r
+ &mov($a,&wparam(1)); # get a
+ &mov($b,&wparam(2)); # get b
+ &mov($num,&wparam(3)); # get num
+ &xor($c,$c); # clear carry
+ &and($num,0xfffffff8); # num / 8
+
+ &jz(&label("aw_finish"));
+
+ &set_label("aw_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &add($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &add($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("aw_loop"));
+
+ &set_label("aw_finish",0);
+ &mov($num,&wparam(3)); # get num
+ &and($num,7);
+ &jz(&label("aw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0));# *b
+ &add($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &add($tmp1,$tmp2);
+ &adc($c,0);
+ &dec($num) if ($i != 6);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *a
+ &jz(&label("aw_end")) if ($i != 6);
+ }
+ &set_label("aw_end",0);
+
+# &mov("eax",$c); # $c is "eax"
+
+ &function_end($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86/comba.pl b/openssl/crypto/bn/asm/x86/comba.pl
new file mode 100644
index 00000000..22912536
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/comba.pl
@@ -0,0 +1,277 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub mul_add_c
+ {
+ local($a,$ai,$b,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("mul a[$ai]*b[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$b,"",0));
+
+ &mul("edx");
+ &add($c0,"eax");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # laod next a
+ &mov("eax",&wparam(0)) if $pos > 0; # load r[]
+ ###
+ &adc($c1,"edx");
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 0; # laod next b
+ &mov("edx",&DWP(($nb)*4,$b,"",0)) if $pos == 1; # laod next b
+ ###
+ &adc($c2,0);
+ # is pos > 1, it means it is the last loop
+ &mov(&DWP($i*4,"eax","",0),$c0) if $pos > 0; # save r[];
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # laod next a
+ }
+
+sub sqr_add_c
+ {
+ local($r,$a,$ai,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("sqr a[$ai]*a[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$b,"",0));
+
+ if ($ai == $bi)
+ { &mul("eax");}
+ else
+ { &mul("edx");}
+ &add($c0,"eax");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # load next a
+ ###
+ &adc($c1,"edx");
+ &mov("edx",&DWP(($nb)*4,$a,"",0)) if ($pos == 1) && ($na != $nb);
+ ###
+ &adc($c2,0);
+ # is pos > 1, it means it is the last loop
+ &mov(&DWP($i*4,$r,"",0),$c0) if $pos > 0; # save r[];
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # load next b
+ }
+
+sub sqr_add_c2
+ {
+ local($r,$a,$ai,$bi,$c0,$c1,$c2,$pos,$i,$na,$nb)=@_;
+
+ # pos == -1 if eax and edx are pre-loaded, 0 to load from next
+ # words, and 1 if load return value
+
+ &comment("sqr a[$ai]*a[$bi]");
+
+ # "eax" and "edx" will always be pre-loaded.
+ # &mov("eax",&DWP($ai*4,$a,"",0)) ;
+ # &mov("edx",&DWP($bi*4,$a,"",0));
+
+ if ($ai == $bi)
+ { &mul("eax");}
+ else
+ { &mul("edx");}
+ &add("eax","eax");
+ ###
+ &adc("edx","edx");
+ ###
+ &adc($c2,0);
+ &add($c0,"eax");
+ &adc($c1,"edx");
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 0; # load next a
+ &mov("eax",&DWP(($na)*4,$a,"",0)) if $pos == 1; # load next b
+ &adc($c2,0);
+ &mov(&DWP($i*4,$r,"",0),$c0) if $pos > 0; # save r[];
+ &mov("edx",&DWP(($nb)*4,$a,"",0)) if ($pos <= 1) && ($na != $nb);
+ ###
+ }
+
+sub bn_mul_comba
+ {
+ local($name,$num)=@_;
+ local($a,$b,$c0,$c1,$c2);
+ local($i,$as,$ae,$bs,$be,$ai,$bi);
+ local($tot,$end);
+
+ &function_begin_B($name,"");
+
+ $c0="ebx";
+ $c1="ecx";
+ $c2="ebp";
+ $a="esi";
+ $b="edi";
+
+ $as=0;
+ $ae=0;
+ $bs=0;
+ $be=0;
+ $tot=$num+$num-1;
+
+ &push("esi");
+ &mov($a,&wparam(1));
+ &push("edi");
+ &mov($b,&wparam(2));
+ &push("ebp");
+ &push("ebx");
+
+ &xor($c0,$c0);
+ &mov("eax",&DWP(0,$a,"",0)); # load the first word
+ &xor($c1,$c1);
+ &mov("edx",&DWP(0,$b,"",0)); # load the first second
+
+ for ($i=0; $i<$tot; $i++)
+ {
+ $ai=$as;
+ $bi=$bs;
+ $end=$be+1;
+
+ &comment("################## Calculate word $i");
+
+ for ($j=$bs; $j<$end; $j++)
+ {
+ &xor($c2,$c2) if ($j == $bs);
+ if (($j+1) == $end)
+ {
+ $v=1;
+ $v=2 if (($i+1) == $tot);
+ }
+ else
+ { $v=0; }
+ if (($j+1) != $end)
+ {
+ $na=($ai-1);
+ $nb=($bi+1);
+ }
+ else
+ {
+ $na=$as+($i < ($num-1));
+ $nb=$bs+($i >= ($num-1));
+ }
+#printf STDERR "[$ai,$bi] -> [$na,$nb]\n";
+ &mul_add_c($a,$ai,$b,$bi,$c0,$c1,$c2,$v,$i,$na,$nb);
+ if ($v)
+ {
+ &comment("saved r[$i]");
+ # &mov("eax",&wparam(0));
+ # &mov(&DWP($i*4,"eax","",0),$c0);
+ ($c0,$c1,$c2)=($c1,$c2,$c0);
+ }
+ $ai--;
+ $bi++;
+ }
+ $as++ if ($i < ($num-1));
+ $ae++ if ($i >= ($num-1));
+
+ $bs++ if ($i >= ($num-1));
+ $be++ if ($i < ($num-1));
+ }
+ &comment("save r[$i]");
+ # &mov("eax",&wparam(0));
+ &mov(&DWP($i*4,"eax","",0),$c0);
+
+ &pop("ebx");
+ &pop("ebp");
+ &pop("edi");
+ &pop("esi");
+ &ret();
+ &function_end_B($name);
+ }
+
+sub bn_sqr_comba
+ {
+ local($name,$num)=@_;
+ local($r,$a,$c0,$c1,$c2)=@_;
+ local($i,$as,$ae,$bs,$be,$ai,$bi);
+ local($b,$tot,$end,$half);
+
+ &function_begin_B($name,"");
+
+ $c0="ebx";
+ $c1="ecx";
+ $c2="ebp";
+ $a="esi";
+ $r="edi";
+
+ &push("esi");
+ &push("edi");
+ &push("ebp");
+ &push("ebx");
+ &mov($r,&wparam(0));
+ &mov($a,&wparam(1));
+ &xor($c0,$c0);
+ &xor($c1,$c1);
+ &mov("eax",&DWP(0,$a,"",0)); # load the first word
+
+ $as=0;
+ $ae=0;
+ $bs=0;
+ $be=0;
+ $tot=$num+$num-1;
+
+ for ($i=0; $i<$tot; $i++)
+ {
+ $ai=$as;
+ $bi=$bs;
+ $end=$be+1;
+
+ &comment("############### Calculate word $i");
+ for ($j=$bs; $j<$end; $j++)
+ {
+ &xor($c2,$c2) if ($j == $bs);
+ if (($ai-1) < ($bi+1))
+ {
+ $v=1;
+ $v=2 if ($i+1) == $tot;
+ }
+ else
+ { $v=0; }
+ if (!$v)
+ {
+ $na=$ai-1;
+ $nb=$bi+1;
+ }
+ else
+ {
+ $na=$as+($i < ($num-1));
+ $nb=$bs+($i >= ($num-1));
+ }
+ if ($ai == $bi)
+ {
+ &sqr_add_c($r,$a,$ai,$bi,
+ $c0,$c1,$c2,$v,$i,$na,$nb);
+ }
+ else
+ {
+ &sqr_add_c2($r,$a,$ai,$bi,
+ $c0,$c1,$c2,$v,$i,$na,$nb);
+ }
+ if ($v)
+ {
+ &comment("saved r[$i]");
+ #&mov(&DWP($i*4,$r,"",0),$c0);
+ ($c0,$c1,$c2)=($c1,$c2,$c0);
+ last;
+ }
+ $ai--;
+ $bi++;
+ }
+ $as++ if ($i < ($num-1));
+ $ae++ if ($i >= ($num-1));
+
+ $bs++ if ($i >= ($num-1));
+ $be++ if ($i < ($num-1));
+ }
+ &mov(&DWP($i*4,$r,"",0),$c0);
+ &pop("ebx");
+ &pop("ebp");
+ &pop("edi");
+ &pop("esi");
+ &ret();
+ &function_end_B($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86/div.pl b/openssl/crypto/bn/asm/x86/div.pl
new file mode 100644
index 00000000..0e90152c
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/div.pl
@@ -0,0 +1,15 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_div_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+ &mov("edx",&wparam(0)); #
+ &mov("eax",&wparam(1)); #
+ &mov("ebx",&wparam(2)); #
+ &div("ebx");
+ &function_end($name);
+ }
+1;
diff --git a/openssl/crypto/bn/asm/x86/f b/openssl/crypto/bn/asm/x86/f
new file mode 100644
index 00000000..22e41122
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/f
@@ -0,0 +1,3 @@
+#!/usr/local/bin/perl
+# x86 assember
+
diff --git a/openssl/crypto/bn/asm/x86/mul.pl b/openssl/crypto/bn/asm/x86/mul.pl
new file mode 100644
index 00000000..674cb9b0
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/mul.pl
@@ -0,0 +1,77 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_mul_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $Low="eax";
+ $High="edx";
+ $a="ebx";
+ $w="ecx";
+ $r="edi";
+ $c="esi";
+ $num="ebp";
+
+ &xor($c,$c); # clear carry
+ &mov($r,&wparam(0)); #
+ &mov($a,&wparam(1)); #
+ &mov($num,&wparam(2)); #
+ &mov($w,&wparam(3)); #
+
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("mw_finish"));
+
+ &set_label("mw_loop",0);
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+
+ &mov("eax",&DWP($i,$a,"",0)); # *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ # XXX
+
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i,$r,"",0),"eax"); # *r= L(t);
+
+ &mov($c,"edx"); # c= H(t);
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,32);
+ &sub($num,8);
+ &jz(&label("mw_finish"));
+ &jmp(&label("mw_loop"));
+
+ &set_label("mw_finish",0);
+ &mov($num,&wparam(2)); # get num
+ &and($num,7);
+ &jnz(&label("mw_finish2"));
+ &jmp(&label("mw_end"));
+
+ &set_label("mw_finish2",1);
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a,"",0));# *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ # XXX
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i*4,$r,"",0),"eax");# *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ &dec($num) if ($i != 7-1);
+ &jz(&label("mw_end")) if ($i != 7-1);
+ }
+ &set_label("mw_end",0);
+ &mov("eax",$c);
+
+ &function_end($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86/mul_add.pl b/openssl/crypto/bn/asm/x86/mul_add.pl
new file mode 100644
index 00000000..61830d3a
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/mul_add.pl
@@ -0,0 +1,87 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_mul_add_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $Low="eax";
+ $High="edx";
+ $a="ebx";
+ $w="ebp";
+ $r="edi";
+ $c="esi";
+
+ &xor($c,$c); # clear carry
+ &mov($r,&wparam(0)); #
+
+ &mov("ecx",&wparam(2)); #
+ &mov($a,&wparam(1)); #
+
+ &and("ecx",0xfffffff8); # num / 8
+ &mov($w,&wparam(3)); #
+
+ &push("ecx"); # Up the stack for a tmp variable
+
+ &jz(&label("maw_finish"));
+
+ &set_label("maw_loop",0);
+
+ &mov(&swtmp(0),"ecx"); #
+
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+
+ &mov("eax",&DWP($i,$a,"",0)); # *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+= *r
+ &mov($c,&DWP($i,$r,"",0)); # L(t)+= *r
+ &adc("edx",0); # H(t)+=carry
+ &add("eax",$c); # L(t)+=c
+ &adc("edx",0); # H(t)+=carry
+ &mov(&DWP($i,$r,"",0),"eax"); # *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ }
+
+ &comment("");
+ &mov("ecx",&swtmp(0)); #
+ &add($a,32);
+ &add($r,32);
+ &sub("ecx",8);
+ &jnz(&label("maw_loop"));
+
+ &set_label("maw_finish",0);
+ &mov("ecx",&wparam(2)); # get num
+ &and("ecx",7);
+ &jnz(&label("maw_finish2")); # helps branch prediction
+ &jmp(&label("maw_end"));
+
+ &set_label("maw_finish2",1);
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a,"",0));# *a
+ &mul($w); # *a * w
+ &add("eax",$c); # L(t)+=c
+ &mov($c,&DWP($i*4,$r,"",0)); # L(t)+= *r
+ &adc("edx",0); # H(t)+=carry
+ &add("eax",$c);
+ &adc("edx",0); # H(t)+=carry
+ &dec("ecx") if ($i != 7-1);
+ &mov(&DWP($i*4,$r,"",0),"eax"); # *r= L(t);
+ &mov($c,"edx"); # c= H(t);
+ &jz(&label("maw_end")) if ($i != 7-1);
+ }
+ &set_label("maw_end",0);
+ &mov("eax",$c);
+
+ &pop("ecx"); # clear variable from
+
+ &function_end($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86/sqr.pl b/openssl/crypto/bn/asm/x86/sqr.pl
new file mode 100644
index 00000000..1f90993c
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/sqr.pl
@@ -0,0 +1,60 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_sqr_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $r="esi";
+ $a="edi";
+ $num="ebx";
+
+ &mov($r,&wparam(0)); #
+ &mov($a,&wparam(1)); #
+ &mov($num,&wparam(2)); #
+
+ &and($num,0xfffffff8); # num / 8
+ &jz(&label("sw_finish"));
+
+ &set_label("sw_loop",0);
+ for ($i=0; $i<32; $i+=4)
+ {
+ &comment("Round $i");
+ &mov("eax",&DWP($i,$a,"",0)); # *a
+ # XXX
+ &mul("eax"); # *a * *a
+ &mov(&DWP($i*2,$r,"",0),"eax"); #
+ &mov(&DWP($i*2+4,$r,"",0),"edx");#
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($r,64);
+ &sub($num,8);
+ &jnz(&label("sw_loop"));
+
+ &set_label("sw_finish",0);
+ &mov($num,&wparam(2)); # get num
+ &and($num,7);
+ &jz(&label("sw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov("eax",&DWP($i*4,$a,"",0)); # *a
+ # XXX
+ &mul("eax"); # *a * *a
+ &mov(&DWP($i*8,$r,"",0),"eax"); #
+ &dec($num) if ($i != 7-1);
+ &mov(&DWP($i*8+4,$r,"",0),"edx");
+ &jz(&label("sw_end")) if ($i != 7-1);
+ }
+ &set_label("sw_end",0);
+
+ &function_end($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86/sub.pl b/openssl/crypto/bn/asm/x86/sub.pl
new file mode 100644
index 00000000..837b0e1b
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86/sub.pl
@@ -0,0 +1,76 @@
+#!/usr/local/bin/perl
+# x86 assember
+
+sub bn_sub_words
+ {
+ local($name)=@_;
+
+ &function_begin($name,"");
+
+ &comment("");
+ $a="esi";
+ $b="edi";
+ $c="eax";
+ $r="ebx";
+ $tmp1="ecx";
+ $tmp2="edx";
+ $num="ebp";
+
+ &mov($r,&wparam(0)); # get r
+ &mov($a,&wparam(1)); # get a
+ &mov($b,&wparam(2)); # get b
+ &mov($num,&wparam(3)); # get num
+ &xor($c,$c); # clear carry
+ &and($num,0xfffffff8); # num / 8
+
+ &jz(&label("aw_finish"));
+
+ &set_label("aw_loop",0);
+ for ($i=0; $i<8; $i++)
+ {
+ &comment("Round $i");
+
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0)); # *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *r
+ }
+
+ &comment("");
+ &add($a,32);
+ &add($b,32);
+ &add($r,32);
+ &sub($num,8);
+ &jnz(&label("aw_loop"));
+
+ &set_label("aw_finish",0);
+ &mov($num,&wparam(3)); # get num
+ &and($num,7);
+ &jz(&label("aw_end"));
+
+ for ($i=0; $i<7; $i++)
+ {
+ &comment("Tail Round $i");
+ &mov($tmp1,&DWP($i*4,$a,"",0)); # *a
+ &mov($tmp2,&DWP($i*4,$b,"",0));# *b
+ &sub($tmp1,$c);
+ &mov($c,0);
+ &adc($c,$c);
+ &sub($tmp1,$tmp2);
+ &adc($c,0);
+ &dec($num) if ($i != 6);
+ &mov(&DWP($i*4,$r,"",0),$tmp1); # *a
+ &jz(&label("aw_end")) if ($i != 6);
+ }
+ &set_label("aw_end",0);
+
+# &mov("eax",$c); # $c is "eax"
+
+ &function_end($name);
+ }
+
+1;
diff --git a/openssl/crypto/bn/asm/x86_64-gcc.c b/openssl/crypto/bn/asm/x86_64-gcc.c
new file mode 100644
index 00000000..acb0b401
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86_64-gcc.c
@@ -0,0 +1,606 @@
+#include "../bn_lcl.h"
+#if !(defined(__GNUC__) && __GNUC__>=2)
+# include "../bn_asm.c" /* kind of dirty hack for Sun Studio */
+#else
+/*
+ * x86_64 BIGNUM accelerator version 0.1, December 2002.
+ *
+ * Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+ * project.
+ *
+ * Rights for redistribution and usage in source and binary forms are
+ * granted according to the OpenSSL license. Warranty of any kind is
+ * disclaimed.
+ *
+ * Q. Version 0.1? It doesn't sound like Andy, he used to assign real
+ * versions, like 1.0...
+ * A. Well, that's because this code is basically a quick-n-dirty
+ * proof-of-concept hack. As you can see it's implemented with
+ * inline assembler, which means that you're bound to GCC and that
+ * there might be enough room for further improvement.
+ *
+ * Q. Why inline assembler?
+ * A. x86_64 features own ABI which I'm not familiar with. This is
+ * why I decided to let the compiler take care of subroutine
+ * prologue/epilogue as well as register allocation. For reference.
+ * Win64 implements different ABI for AMD64, different from Linux.
+ *
+ * Q. How much faster does it get?
+ * A. 'apps/openssl speed rsa dsa' output with no-asm:
+ *
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0006s 0.0001s 1683.8 18456.2
+ * rsa 1024 bits 0.0028s 0.0002s 356.0 6407.0
+ * rsa 2048 bits 0.0172s 0.0005s 58.0 1957.8
+ * rsa 4096 bits 0.1155s 0.0018s 8.7 555.6
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0005s 0.0006s 2100.8 1768.3
+ * dsa 1024 bits 0.0014s 0.0018s 692.3 559.2
+ * dsa 2048 bits 0.0049s 0.0061s 204.7 165.0
+ *
+ * 'apps/openssl speed rsa dsa' output with this module:
+ *
+ * sign verify sign/s verify/s
+ * rsa 512 bits 0.0004s 0.0000s 2767.1 33297.9
+ * rsa 1024 bits 0.0012s 0.0001s 867.4 14674.7
+ * rsa 2048 bits 0.0061s 0.0002s 164.0 5270.0
+ * rsa 4096 bits 0.0384s 0.0006s 26.1 1650.8
+ * sign verify sign/s verify/s
+ * dsa 512 bits 0.0002s 0.0003s 4442.2 3786.3
+ * dsa 1024 bits 0.0005s 0.0007s 1835.1 1497.4
+ * dsa 2048 bits 0.0016s 0.0020s 620.4 504.6
+ *
+ * For the reference. IA-32 assembler implementation performs
+ * very much like 64-bit code compiled with no-asm on the same
+ * machine.
+ */
+
+#ifdef _WIN64
+#define BN_ULONG unsigned long long
+#else
+#define BN_ULONG unsigned long
+#endif
+
+#undef mul
+#undef mul_add
+#undef sqr
+
+/*
+ * "m"(a), "+m"(r) is the way to favor DirectPath µ-code;
+ * "g"(0) let the compiler to decide where does it
+ * want to keep the value of zero;
+ */
+#define mul_add(r,a,word,carry) do { \
+ register BN_ULONG high,low; \
+ asm ("mulq %3" \
+ : "=a"(low),"=d"(high) \
+ : "a"(word),"m"(a) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry),"+d"(high)\
+ : "a"(low),"g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+m"(r),"+d"(high) \
+ : "r"(carry),"g"(0) \
+ : "cc"); \
+ carry=high; \
+ } while (0)
+
+#define mul(r,a,word,carry) do { \
+ register BN_ULONG high,low; \
+ asm ("mulq %3" \
+ : "=a"(low),"=d"(high) \
+ : "a"(word),"g"(a) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(carry),"+d"(high)\
+ : "a"(low),"g"(0) \
+ : "cc"); \
+ (r)=carry, carry=high; \
+ } while (0)
+
+#define sqr(r0,r1,a) \
+ asm ("mulq %2" \
+ : "=a"(r0),"=d"(r1) \
+ : "a"(a) \
+ : "cc");
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG c1=0;
+
+ if (num <= 0) return(c1);
+
+ while (num&~3)
+ {
+ mul_add(rp[0],ap[0],w,c1);
+ mul_add(rp[1],ap[1],w,c1);
+ mul_add(rp[2],ap[2],w,c1);
+ mul_add(rp[3],ap[3],w,c1);
+ ap+=4; rp+=4; num-=4;
+ }
+ if (num)
+ {
+ mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
+ mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
+ mul_add(rp[2],ap[2],w,c1); return c1;
+ }
+
+ return(c1);
+ }
+
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG c1=0;
+
+ if (num <= 0) return(c1);
+
+ while (num&~3)
+ {
+ mul(rp[0],ap[0],w,c1);
+ mul(rp[1],ap[1],w,c1);
+ mul(rp[2],ap[2],w,c1);
+ mul(rp[3],ap[3],w,c1);
+ ap+=4; rp+=4; num-=4;
+ }
+ if (num)
+ {
+ mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
+ mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
+ mul(rp[2],ap[2],w,c1);
+ }
+ return(c1);
+ }
+
+void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
+ {
+ if (n <= 0) return;
+
+ while (n&~3)
+ {
+ sqr(r[0],r[1],a[0]);
+ sqr(r[2],r[3],a[1]);
+ sqr(r[4],r[5],a[2]);
+ sqr(r[6],r[7],a[3]);
+ a+=4; r+=8; n-=4;
+ }
+ if (n)
+ {
+ sqr(r[0],r[1],a[0]); if (--n == 0) return;
+ sqr(r[2],r[3],a[1]); if (--n == 0) return;
+ sqr(r[4],r[5],a[2]);
+ }
+ }
+
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
+{ BN_ULONG ret,waste;
+
+ asm ("divq %4"
+ : "=a"(ret),"=d"(waste)
+ : "a"(l),"d"(h),"g"(d)
+ : "cc");
+
+ return ret;
+}
+
+BN_ULONG bn_add_words (BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int n)
+{ BN_ULONG ret=0,i=0;
+
+ if (n <= 0) return 0;
+
+ asm (
+ " subq %2,%2 \n"
+ ".p2align 4 \n"
+ "1: movq (%4,%2,8),%0 \n"
+ " adcq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " leaq 1(%2),%2 \n"
+ " loop 1b \n"
+ " sbbq %0,%0 \n"
+ : "=&a"(ret),"+c"(n),"=&r"(i)
+ : "r"(rp),"r"(ap),"r"(bp)
+ : "cc"
+ );
+
+ return ret&1;
+}
+
+#ifndef SIMICS
+BN_ULONG bn_sub_words (BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int n)
+{ BN_ULONG ret=0,i=0;
+
+ if (n <= 0) return 0;
+
+ asm (
+ " subq %2,%2 \n"
+ ".p2align 4 \n"
+ "1: movq (%4,%2,8),%0 \n"
+ " sbbq (%5,%2,8),%0 \n"
+ " movq %0,(%3,%2,8) \n"
+ " leaq 1(%2),%2 \n"
+ " loop 1b \n"
+ " sbbq %0,%0 \n"
+ : "=&a"(ret),"+c"(n),"=&r"(i)
+ : "r"(rp),"r"(ap),"r"(bp)
+ : "cc"
+ );
+
+ return ret&1;
+}
+#else
+/* Simics 1.4<7 has buggy sbbq:-( */
+#define BN_MASK2 0xffffffffffffffffL
+BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+ {
+ BN_ULONG t1,t2;
+ int c=0;
+
+ if (n <= 0) return((BN_ULONG)0);
+
+ for (;;)
+ {
+ t1=a[0]; t2=b[0];
+ r[0]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ if (--n <= 0) break;
+
+ t1=a[1]; t2=b[1];
+ r[1]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ if (--n <= 0) break;
+
+ t1=a[2]; t2=b[2];
+ r[2]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ if (--n <= 0) break;
+
+ t1=a[3]; t2=b[3];
+ r[3]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ if (--n <= 0) break;
+
+ a+=4;
+ b+=4;
+ r+=4;
+ }
+ return(c);
+ }
+#endif
+
+/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
+/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
+/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
+/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
+
+#if 0
+/* original macros are kept for reference purposes */
+#define mul_add_c(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b); \
+ t1 = ta * tb; \
+ t2 = BN_UMULT_HIGH(ta,tb); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define mul_add_c2(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b),t0; \
+ t1 = BN_UMULT_HIGH(ta,tb); \
+ t0 = ta * tb; \
+ t2 = t1+t1; c2 += (t2<t1)?1:0; \
+ t1 = t0+t0; t2 += (t1<t0)?1:0; \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+#else
+#define mul_add_c(a,b,c0,c1,c2) do { \
+ asm ("mulq %3" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a),"m"(b) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c0),"+d"(t2) \
+ : "a"(t1),"g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c1),"+r"(c2) \
+ : "d"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+
+#define sqr_add_c(a,i,c0,c1,c2) do { \
+ asm ("mulq %2" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a[i]) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c0),"+d"(t2) \
+ : "a"(t1),"g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c1),"+r"(c2) \
+ : "d"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+
+#define mul_add_c2(a,b,c0,c1,c2) do { \
+ asm ("mulq %3" \
+ : "=a"(t1),"=d"(t2) \
+ : "a"(a),"m"(b) \
+ : "cc"); \
+ asm ("addq %0,%0; adcq %2,%1" \
+ : "+d"(t2),"+r"(c2) \
+ : "g"(0) \
+ : "cc"); \
+ asm ("addq %0,%0; adcq %2,%1" \
+ : "+a"(t1),"+d"(t2) \
+ : "g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c0),"+d"(t2) \
+ : "a"(t1),"g"(0) \
+ : "cc"); \
+ asm ("addq %2,%0; adcq %3,%1" \
+ : "+r"(c1),"+r"(c2) \
+ : "d"(t2),"g"(0) \
+ : "cc"); \
+ } while (0)
+#endif
+
+#define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ mul_add_c(a[0],b[0],c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ mul_add_c(a[0],b[1],c2,c3,c1);
+ mul_add_c(a[1],b[0],c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ mul_add_c(a[2],b[0],c3,c1,c2);
+ mul_add_c(a[1],b[1],c3,c1,c2);
+ mul_add_c(a[0],b[2],c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ mul_add_c(a[0],b[3],c1,c2,c3);
+ mul_add_c(a[1],b[2],c1,c2,c3);
+ mul_add_c(a[2],b[1],c1,c2,c3);
+ mul_add_c(a[3],b[0],c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ mul_add_c(a[4],b[0],c2,c3,c1);
+ mul_add_c(a[3],b[1],c2,c3,c1);
+ mul_add_c(a[2],b[2],c2,c3,c1);
+ mul_add_c(a[1],b[3],c2,c3,c1);
+ mul_add_c(a[0],b[4],c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ mul_add_c(a[0],b[5],c3,c1,c2);
+ mul_add_c(a[1],b[4],c3,c1,c2);
+ mul_add_c(a[2],b[3],c3,c1,c2);
+ mul_add_c(a[3],b[2],c3,c1,c2);
+ mul_add_c(a[4],b[1],c3,c1,c2);
+ mul_add_c(a[5],b[0],c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ mul_add_c(a[6],b[0],c1,c2,c3);
+ mul_add_c(a[5],b[1],c1,c2,c3);
+ mul_add_c(a[4],b[2],c1,c2,c3);
+ mul_add_c(a[3],b[3],c1,c2,c3);
+ mul_add_c(a[2],b[4],c1,c2,c3);
+ mul_add_c(a[1],b[5],c1,c2,c3);
+ mul_add_c(a[0],b[6],c1,c2,c3);
+ r[6]=c1;
+ c1=0;
+ mul_add_c(a[0],b[7],c2,c3,c1);
+ mul_add_c(a[1],b[6],c2,c3,c1);
+ mul_add_c(a[2],b[5],c2,c3,c1);
+ mul_add_c(a[3],b[4],c2,c3,c1);
+ mul_add_c(a[4],b[3],c2,c3,c1);
+ mul_add_c(a[5],b[2],c2,c3,c1);
+ mul_add_c(a[6],b[1],c2,c3,c1);
+ mul_add_c(a[7],b[0],c2,c3,c1);
+ r[7]=c2;
+ c2=0;
+ mul_add_c(a[7],b[1],c3,c1,c2);
+ mul_add_c(a[6],b[2],c3,c1,c2);
+ mul_add_c(a[5],b[3],c3,c1,c2);
+ mul_add_c(a[4],b[4],c3,c1,c2);
+ mul_add_c(a[3],b[5],c3,c1,c2);
+ mul_add_c(a[2],b[6],c3,c1,c2);
+ mul_add_c(a[1],b[7],c3,c1,c2);
+ r[8]=c3;
+ c3=0;
+ mul_add_c(a[2],b[7],c1,c2,c3);
+ mul_add_c(a[3],b[6],c1,c2,c3);
+ mul_add_c(a[4],b[5],c1,c2,c3);
+ mul_add_c(a[5],b[4],c1,c2,c3);
+ mul_add_c(a[6],b[3],c1,c2,c3);
+ mul_add_c(a[7],b[2],c1,c2,c3);
+ r[9]=c1;
+ c1=0;
+ mul_add_c(a[7],b[3],c2,c3,c1);
+ mul_add_c(a[6],b[4],c2,c3,c1);
+ mul_add_c(a[5],b[5],c2,c3,c1);
+ mul_add_c(a[4],b[6],c2,c3,c1);
+ mul_add_c(a[3],b[7],c2,c3,c1);
+ r[10]=c2;
+ c2=0;
+ mul_add_c(a[4],b[7],c3,c1,c2);
+ mul_add_c(a[5],b[6],c3,c1,c2);
+ mul_add_c(a[6],b[5],c3,c1,c2);
+ mul_add_c(a[7],b[4],c3,c1,c2);
+ r[11]=c3;
+ c3=0;
+ mul_add_c(a[7],b[5],c1,c2,c3);
+ mul_add_c(a[6],b[6],c1,c2,c3);
+ mul_add_c(a[5],b[7],c1,c2,c3);
+ r[12]=c1;
+ c1=0;
+ mul_add_c(a[6],b[7],c2,c3,c1);
+ mul_add_c(a[7],b[6],c2,c3,c1);
+ r[13]=c2;
+ c2=0;
+ mul_add_c(a[7],b[7],c3,c1,c2);
+ r[14]=c3;
+ r[15]=c1;
+ }
+
+void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ mul_add_c(a[0],b[0],c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ mul_add_c(a[0],b[1],c2,c3,c1);
+ mul_add_c(a[1],b[0],c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ mul_add_c(a[2],b[0],c3,c1,c2);
+ mul_add_c(a[1],b[1],c3,c1,c2);
+ mul_add_c(a[0],b[2],c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ mul_add_c(a[0],b[3],c1,c2,c3);
+ mul_add_c(a[1],b[2],c1,c2,c3);
+ mul_add_c(a[2],b[1],c1,c2,c3);
+ mul_add_c(a[3],b[0],c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ mul_add_c(a[3],b[1],c2,c3,c1);
+ mul_add_c(a[2],b[2],c2,c3,c1);
+ mul_add_c(a[1],b[3],c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ mul_add_c(a[2],b[3],c3,c1,c2);
+ mul_add_c(a[3],b[2],c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ mul_add_c(a[3],b[3],c1,c2,c3);
+ r[6]=c1;
+ r[7]=c2;
+ }
+
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
+ {
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ sqr_add_c(a,0,c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ sqr_add_c2(a,1,0,c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ sqr_add_c(a,1,c3,c1,c2);
+ sqr_add_c2(a,2,0,c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ sqr_add_c2(a,3,0,c1,c2,c3);
+ sqr_add_c2(a,2,1,c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ sqr_add_c(a,2,c2,c3,c1);
+ sqr_add_c2(a,3,1,c2,c3,c1);
+ sqr_add_c2(a,4,0,c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ sqr_add_c2(a,5,0,c3,c1,c2);
+ sqr_add_c2(a,4,1,c3,c1,c2);
+ sqr_add_c2(a,3,2,c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ sqr_add_c(a,3,c1,c2,c3);
+ sqr_add_c2(a,4,2,c1,c2,c3);
+ sqr_add_c2(a,5,1,c1,c2,c3);
+ sqr_add_c2(a,6,0,c1,c2,c3);
+ r[6]=c1;
+ c1=0;
+ sqr_add_c2(a,7,0,c2,c3,c1);
+ sqr_add_c2(a,6,1,c2,c3,c1);
+ sqr_add_c2(a,5,2,c2,c3,c1);
+ sqr_add_c2(a,4,3,c2,c3,c1);
+ r[7]=c2;
+ c2=0;
+ sqr_add_c(a,4,c3,c1,c2);
+ sqr_add_c2(a,5,3,c3,c1,c2);
+ sqr_add_c2(a,6,2,c3,c1,c2);
+ sqr_add_c2(a,7,1,c3,c1,c2);
+ r[8]=c3;
+ c3=0;
+ sqr_add_c2(a,7,2,c1,c2,c3);
+ sqr_add_c2(a,6,3,c1,c2,c3);
+ sqr_add_c2(a,5,4,c1,c2,c3);
+ r[9]=c1;
+ c1=0;
+ sqr_add_c(a,5,c2,c3,c1);
+ sqr_add_c2(a,6,4,c2,c3,c1);
+ sqr_add_c2(a,7,3,c2,c3,c1);
+ r[10]=c2;
+ c2=0;
+ sqr_add_c2(a,7,4,c3,c1,c2);
+ sqr_add_c2(a,6,5,c3,c1,c2);
+ r[11]=c3;
+ c3=0;
+ sqr_add_c(a,6,c1,c2,c3);
+ sqr_add_c2(a,7,5,c1,c2,c3);
+ r[12]=c1;
+ c1=0;
+ sqr_add_c2(a,7,6,c2,c3,c1);
+ r[13]=c2;
+ c2=0;
+ sqr_add_c(a,7,c3,c1,c2);
+ r[14]=c3;
+ r[15]=c1;
+ }
+
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
+ {
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ sqr_add_c(a,0,c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ sqr_add_c2(a,1,0,c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ sqr_add_c(a,1,c3,c1,c2);
+ sqr_add_c2(a,2,0,c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ sqr_add_c2(a,3,0,c1,c2,c3);
+ sqr_add_c2(a,2,1,c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ sqr_add_c(a,2,c2,c3,c1);
+ sqr_add_c2(a,3,1,c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ sqr_add_c2(a,3,2,c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ sqr_add_c(a,3,c1,c2,c3);
+ r[6]=c1;
+ r[7]=c2;
+ }
+#endif
diff --git a/openssl/crypto/bn/asm/x86_64-mont.pl b/openssl/crypto/bn/asm/x86_64-mont.pl
new file mode 100755
index 00000000..3b7a6f24
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86_64-mont.pl
@@ -0,0 +1,330 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# October 2005.
+#
+# Montgomery multiplication routine for x86_64. While it gives modest
+# 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
+# than twice, >2x, as fast. Most common rsa1024 sign is improved by
+# respectful 50%. It remains to be seen if loop unrolling and
+# dedicated squaring routine can provide further improvement...
+
+$flavour = shift;
+$output = shift;
+if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
+
+$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
+die "can't locate x86_64-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour $output";
+
+# int bn_mul_mont(
+$rp="%rdi"; # BN_ULONG *rp,
+$ap="%rsi"; # const BN_ULONG *ap,
+$bp="%rdx"; # const BN_ULONG *bp,
+$np="%rcx"; # const BN_ULONG *np,
+$n0="%r8"; # const BN_ULONG *n0,
+$num="%r9"; # int num);
+$lo0="%r10";
+$hi0="%r11";
+$bp="%r12"; # reassign $bp
+$hi1="%r13";
+$i="%r14";
+$j="%r15";
+$m0="%rbx";
+$m1="%rbp";
+
+$code=<<___;
+.text
+
+.globl bn_mul_mont
+.type bn_mul_mont,\@function,6
+.align 16
+bn_mul_mont:
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+
+ mov ${num}d,${num}d
+ lea 2($num),%r10
+ mov %rsp,%r11
+ neg %r10
+ lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+2))
+ and \$-1024,%rsp # minimize TLB usage
+
+ mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
+.Lprologue:
+ mov %rdx,$bp # $bp reassigned, remember?
+
+ mov ($n0),$n0 # pull n0[0] value
+
+ xor $i,$i # i=0
+ xor $j,$j # j=0
+
+ mov ($bp),$m0 # m0=bp[0]
+ mov ($ap),%rax
+ mulq $m0 # ap[0]*bp[0]
+ mov %rax,$lo0
+ mov %rdx,$hi0
+
+ imulq $n0,%rax # "tp[0]"*n0
+ mov %rax,$m1
+
+ mulq ($np) # np[0]*m1
+ add $lo0,%rax # discarded
+ adc \$0,%rdx
+ mov %rdx,$hi1
+
+ lea 1($j),$j # j++
+.L1st:
+ mov ($ap,$j,8),%rax
+ mulq $m0 # ap[j]*bp[0]
+ add $hi0,%rax
+ adc \$0,%rdx
+ mov %rax,$lo0
+ mov ($np,$j,8),%rax
+ mov %rdx,$hi0
+
+ mulq $m1 # np[j]*m1
+ add $hi1,%rax
+ lea 1($j),$j # j++
+ adc \$0,%rdx
+ add $lo0,%rax # np[j]*m1+ap[j]*bp[0]
+ adc \$0,%rdx
+ mov %rax,-16(%rsp,$j,8) # tp[j-1]
+ cmp $num,$j
+ mov %rdx,$hi1
+ jl .L1st
+
+ xor %rdx,%rdx
+ add $hi0,$hi1
+ adc \$0,%rdx
+ mov $hi1,-8(%rsp,$num,8)
+ mov %rdx,(%rsp,$num,8) # store upmost overflow bit
+
+ lea 1($i),$i # i++
+.align 4
+.Louter:
+ xor $j,$j # j=0
+
+ mov ($bp,$i,8),$m0 # m0=bp[i]
+ mov ($ap),%rax # ap[0]
+ mulq $m0 # ap[0]*bp[i]
+ add (%rsp),%rax # ap[0]*bp[i]+tp[0]
+ adc \$0,%rdx
+ mov %rax,$lo0
+ mov %rdx,$hi0
+
+ imulq $n0,%rax # tp[0]*n0
+ mov %rax,$m1
+
+ mulq ($np,$j,8) # np[0]*m1
+ add $lo0,%rax # discarded
+ mov 8(%rsp),$lo0 # tp[1]
+ adc \$0,%rdx
+ mov %rdx,$hi1
+
+ lea 1($j),$j # j++
+.align 4
+.Linner:
+ mov ($ap,$j,8),%rax
+ mulq $m0 # ap[j]*bp[i]
+ add $hi0,%rax
+ adc \$0,%rdx
+ add %rax,$lo0 # ap[j]*bp[i]+tp[j]
+ mov ($np,$j,8),%rax
+ adc \$0,%rdx
+ mov %rdx,$hi0
+
+ mulq $m1 # np[j]*m1
+ add $hi1,%rax
+ lea 1($j),$j # j++
+ adc \$0,%rdx
+ add $lo0,%rax # np[j]*m1+ap[j]*bp[i]+tp[j]
+ adc \$0,%rdx
+ mov (%rsp,$j,8),$lo0
+ cmp $num,$j
+ mov %rax,-16(%rsp,$j,8) # tp[j-1]
+ mov %rdx,$hi1
+ jl .Linner
+
+ xor %rdx,%rdx
+ add $hi0,$hi1
+ adc \$0,%rdx
+ add $lo0,$hi1 # pull upmost overflow bit
+ adc \$0,%rdx
+ mov $hi1,-8(%rsp,$num,8)
+ mov %rdx,(%rsp,$num,8) # store upmost overflow bit
+
+ lea 1($i),$i # i++
+ cmp $num,$i
+ jl .Louter
+
+ lea (%rsp),$ap # borrow ap for tp
+ lea -1($num),$j # j=num-1
+
+ mov ($ap),%rax # tp[0]
+ xor $i,$i # i=0 and clear CF!
+ jmp .Lsub
+.align 16
+.Lsub: sbb ($np,$i,8),%rax
+ mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
+ dec $j # doesn't affect CF!
+ mov 8($ap,$i,8),%rax # tp[i+1]
+ lea 1($i),$i # i++
+ jge .Lsub
+
+ sbb \$0,%rax # handle upmost overflow bit
+ and %rax,$ap
+ not %rax
+ mov $rp,$np
+ and %rax,$np
+ lea -1($num),$j
+ or $np,$ap # ap=borrow?tp:rp
+.align 16
+.Lcopy: # copy or in-place refresh
+ mov ($ap,$j,8),%rax
+ mov %rax,($rp,$j,8) # rp[i]=tp[i]
+ mov $i,(%rsp,$j,8) # zap temporary vector
+ dec $j
+ jge .Lcopy
+
+ mov 8(%rsp,$num,8),%rsi # restore %rsp
+ mov \$1,%rax
+ mov (%rsi),%r15
+ mov 8(%rsi),%r14
+ mov 16(%rsi),%r13
+ mov 24(%rsi),%r12
+ mov 32(%rsi),%rbp
+ mov 40(%rsi),%rbx
+ lea 48(%rsi),%rsp
+.Lepilogue:
+ ret
+.size bn_mul_mont,.-bn_mul_mont
+.asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
+.align 16
+___
+
+# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
+# CONTEXT *context,DISPATCHER_CONTEXT *disp)
+if ($win64) {
+$rec="%rcx";
+$frame="%rdx";
+$context="%r8";
+$disp="%r9";
+
+$code.=<<___;
+.extern __imp_RtlVirtualUnwind
+.type se_handler,\@abi-omnipotent
+.align 16
+se_handler:
+ push %rsi
+ push %rdi
+ push %rbx
+ push %rbp
+ push %r12
+ push %r13
+ push %r14
+ push %r15
+ pushfq
+ sub \$64,%rsp
+
+ mov 120($context),%rax # pull context->Rax
+ mov 248($context),%rbx # pull context->Rip
+
+ lea .Lprologue(%rip),%r10
+ cmp %r10,%rbx # context->Rip<.Lprologue
+ jb .Lin_prologue
+
+ mov 152($context),%rax # pull context->Rsp
+
+ lea .Lepilogue(%rip),%r10
+ cmp %r10,%rbx # context->Rip>=.Lepilogue
+ jae .Lin_prologue
+
+ mov 192($context),%r10 # pull $num
+ mov 8(%rax,%r10,8),%rax # pull saved stack pointer
+ lea 48(%rax),%rax
+
+ mov -8(%rax),%rbx
+ mov -16(%rax),%rbp
+ mov -24(%rax),%r12
+ mov -32(%rax),%r13
+ mov -40(%rax),%r14
+ mov -48(%rax),%r15
+ mov %rbx,144($context) # restore context->Rbx
+ mov %rbp,160($context) # restore context->Rbp
+ mov %r12,216($context) # restore context->R12
+ mov %r13,224($context) # restore context->R13
+ mov %r14,232($context) # restore context->R14
+ mov %r15,240($context) # restore context->R15
+
+.Lin_prologue:
+ mov 8(%rax),%rdi
+ mov 16(%rax),%rsi
+ mov %rax,152($context) # restore context->Rsp
+ mov %rsi,168($context) # restore context->Rsi
+ mov %rdi,176($context) # restore context->Rdi
+
+ mov 40($disp),%rdi # disp->ContextRecord
+ mov $context,%rsi # context
+ mov \$154,%ecx # sizeof(CONTEXT)
+ .long 0xa548f3fc # cld; rep movsq
+
+ mov $disp,%rsi
+ xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER
+ mov 8(%rsi),%rdx # arg2, disp->ImageBase
+ mov 0(%rsi),%r8 # arg3, disp->ControlPc
+ mov 16(%rsi),%r9 # arg4, disp->FunctionEntry
+ mov 40(%rsi),%r10 # disp->ContextRecord
+ lea 56(%rsi),%r11 # &disp->HandlerData
+ lea 24(%rsi),%r12 # &disp->EstablisherFrame
+ mov %r10,32(%rsp) # arg5
+ mov %r11,40(%rsp) # arg6
+ mov %r12,48(%rsp) # arg7
+ mov %rcx,56(%rsp) # arg8, (NULL)
+ call *__imp_RtlVirtualUnwind(%rip)
+
+ mov \$1,%eax # ExceptionContinueSearch
+ add \$64,%rsp
+ popfq
+ pop %r15
+ pop %r14
+ pop %r13
+ pop %r12
+ pop %rbp
+ pop %rbx
+ pop %rdi
+ pop %rsi
+ ret
+.size se_handler,.-se_handler
+
+.section .pdata
+.align 4
+ .rva .LSEH_begin_bn_mul_mont
+ .rva .LSEH_end_bn_mul_mont
+ .rva .LSEH_info_bn_mul_mont
+
+.section .xdata
+.align 8
+.LSEH_info_bn_mul_mont:
+ .byte 9,0,0,0
+ .rva se_handler
+___
+}
+
+print $code;
+close STDOUT;
diff --git a/openssl/crypto/bn/bn.h b/openssl/crypto/bn/bn.h
new file mode 100644
index 00000000..a0bc4783
--- /dev/null
+++ b/openssl/crypto/bn/bn.h
@@ -0,0 +1,876 @@
+/* crypto/bn/bn.h */
+/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the Eric Young open source
+ * license provided above.
+ *
+ * The binary polynomial arithmetic software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+#ifndef HEADER_BN_H
+#define HEADER_BN_H
+
+#include <openssl/e_os2.h>
+#ifndef OPENSSL_NO_FP_API
+#include <stdio.h> /* FILE */
+#endif
+#include <openssl/ossl_typ.h>
+#include <openssl/crypto.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* These preprocessor symbols control various aspects of the bignum headers and
+ * library code. They're not defined by any "normal" configuration, as they are
+ * intended for development and testing purposes. NB: defining all three can be
+ * useful for debugging application code as well as openssl itself.
+ *
+ * BN_DEBUG - turn on various debugging alterations to the bignum code
+ * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
+ * mismanagement of bignum internals. You must also define BN_DEBUG.
+ */
+/* #define BN_DEBUG */
+/* #define BN_DEBUG_RAND */
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+#define BN_MUL_COMBA
+#define BN_SQR_COMBA
+#define BN_RECURSION
+#endif
+
+/* This next option uses the C libraries (2 word)/(1 word) function.
+ * If it is not defined, I use my C version (which is slower).
+ * The reason for this flag is that when the particular C compiler
+ * library routine is used, and the library is linked with a different
+ * compiler, the library is missing. This mostly happens when the
+ * library is built with gcc and then linked using normal cc. This would
+ * be a common occurrence because gcc normally produces code that is
+ * 2 times faster than system compilers for the big number stuff.
+ * For machines with only one compiler (or shared libraries), this should
+ * be on. Again this in only really a problem on machines
+ * using "long long's", are 32bit, and are not using my assembler code. */
+#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
+ defined(OPENSSL_SYS_WIN32) || defined(linux)
+# ifndef BN_DIV2W
+# define BN_DIV2W
+# endif
+#endif
+
+/* assuming long is 64bit - this is the DEC Alpha
+ * unsigned long long is only 64 bits :-(, don't define
+ * BN_LLONG for the DEC Alpha */
+#ifdef SIXTY_FOUR_BIT_LONG
+#define BN_ULLONG unsigned long long
+#define BN_ULONG unsigned long
+#define BN_LONG long
+#define BN_BITS 128
+#define BN_BYTES 8
+#define BN_BITS2 64
+#define BN_BITS4 32
+#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
+#define BN_MASK2 (0xffffffffffffffffL)
+#define BN_MASK2l (0xffffffffL)
+#define BN_MASK2h (0xffffffff00000000L)
+#define BN_MASK2h1 (0xffffffff80000000L)
+#define BN_TBIT (0x8000000000000000L)
+#define BN_DEC_CONV (10000000000000000000UL)
+#define BN_DEC_FMT1 "%lu"
+#define BN_DEC_FMT2 "%019lu"
+#define BN_DEC_NUM 19
+#define BN_HEX_FMT1 "%lX"
+#define BN_HEX_FMT2 "%016lX"
+#endif
+
+/* This is where the long long data type is 64 bits, but long is 32.
+ * For machines where there are 64bit registers, this is the mode to use.
+ * IRIX, on R4000 and above should use this mode, along with the relevant
+ * assembler code :-). Do NOT define BN_LLONG.
+ */
+#ifdef SIXTY_FOUR_BIT
+#undef BN_LLONG
+#undef BN_ULLONG
+#define BN_ULONG unsigned long long
+#define BN_LONG long long
+#define BN_BITS 128
+#define BN_BYTES 8
+#define BN_BITS2 64
+#define BN_BITS4 32
+#define BN_MASK2 (0xffffffffffffffffLL)
+#define BN_MASK2l (0xffffffffL)
+#define BN_MASK2h (0xffffffff00000000LL)
+#define BN_MASK2h1 (0xffffffff80000000LL)
+#define BN_TBIT (0x8000000000000000LL)
+#define BN_DEC_CONV (10000000000000000000ULL)
+#define BN_DEC_FMT1 "%llu"
+#define BN_DEC_FMT2 "%019llu"
+#define BN_DEC_NUM 19
+#define BN_HEX_FMT1 "%llX"
+#define BN_HEX_FMT2 "%016llX"
+#endif
+
+#ifdef THIRTY_TWO_BIT
+#ifdef BN_LLONG
+# if defined(_WIN32) && !defined(__GNUC__)
+# define BN_ULLONG unsigned __int64
+# define BN_MASK (0xffffffffffffffffI64)
+# else
+# define BN_ULLONG unsigned long long
+# define BN_MASK (0xffffffffffffffffLL)
+# endif
+#endif
+#define BN_ULONG unsigned int
+#define BN_LONG int
+#define BN_BITS 64
+#define BN_BYTES 4
+#define BN_BITS2 32
+#define BN_BITS4 16
+#define BN_MASK2 (0xffffffffL)
+#define BN_MASK2l (0xffff)
+#define BN_MASK2h1 (0xffff8000L)
+#define BN_MASK2h (0xffff0000L)
+#define BN_TBIT (0x80000000L)
+#define BN_DEC_CONV (1000000000L)
+#define BN_DEC_FMT1 "%u"
+#define BN_DEC_FMT2 "%09u"
+#define BN_DEC_NUM 9
+#define BN_HEX_FMT1 "%X"
+#define BN_HEX_FMT2 "%08X"
+#endif
+
+/* 2011-02-22 SMS.
+ * In various places, a size_t variable or a type cast to size_t was
+ * used to perform integer-only operations on pointers. This failed on
+ * VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t is
+ * still only 32 bits. What's needed in these cases is an integer type
+ * with the same size as a pointer, which size_t is not certain to be.
+ * The only fix here is VMS-specific.
+ */
+#if defined(OPENSSL_SYS_VMS)
+# if __INITIAL_POINTER_SIZE == 64
+# define PTR_SIZE_INT long long
+# else /* __INITIAL_POINTER_SIZE == 64 */
+# define PTR_SIZE_INT int
+# endif /* __INITIAL_POINTER_SIZE == 64 [else] */
+#else /* defined(OPENSSL_SYS_VMS) */
+# define PTR_SIZE_INT size_t
+#endif /* defined(OPENSSL_SYS_VMS) [else] */
+
+#define BN_DEFAULT_BITS 1280
+
+#define BN_FLG_MALLOCED 0x01
+#define BN_FLG_STATIC_DATA 0x02
+#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
+ * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
+ * BN_div() will call BN_div_no_branch,
+ * BN_mod_inverse() will call BN_mod_inverse_no_branch.
+ */
+
+#ifndef OPENSSL_NO_DEPRECATED
+#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
+ /* avoid leaking exponent information through timings
+ * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
+#endif
+
+#ifndef OPENSSL_NO_DEPRECATED
+#define BN_FLG_FREE 0x8000 /* used for debuging */
+#endif
+#define BN_set_flags(b,n) ((b)->flags|=(n))
+#define BN_get_flags(b,n) ((b)->flags&(n))
+
+/* get a clone of a BIGNUM with changed flags, for *temporary* use only
+ * (the two BIGNUMs cannot not be used in parallel!) */
+#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
+ (dest)->top=(b)->top, \
+ (dest)->dmax=(b)->dmax, \
+ (dest)->neg=(b)->neg, \
+ (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
+ | ((b)->flags & ~BN_FLG_MALLOCED) \
+ | BN_FLG_STATIC_DATA \
+ | (n)))
+
+/* Already declared in ossl_typ.h */
+#if 0
+typedef struct bignum_st BIGNUM;
+/* Used for temp variables (declaration hidden in bn_lcl.h) */
+typedef struct bignum_ctx BN_CTX;
+typedef struct bn_blinding_st BN_BLINDING;
+typedef struct bn_mont_ctx_st BN_MONT_CTX;
+typedef struct bn_recp_ctx_st BN_RECP_CTX;
+typedef struct bn_gencb_st BN_GENCB;
+#endif
+
+struct bignum_st
+ {
+ BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
+ int top; /* Index of last used d +1. */
+ /* The next are internal book keeping for bn_expand. */
+ int dmax; /* Size of the d array. */
+ int neg; /* one if the number is negative */
+ int flags;
+ };
+
+/* Used for montgomery multiplication */
+struct bn_mont_ctx_st
+ {
+ int ri; /* number of bits in R */
+ BIGNUM RR; /* used to convert to montgomery form */
+ BIGNUM N; /* The modulus */
+ BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
+ * (Ni is only stored for bignum algorithm) */
+ BN_ULONG n0[2];/* least significant word(s) of Ni;
+ (type changed with 0.9.9, was "BN_ULONG n0;" before) */
+ int flags;
+ };
+
+/* Used for reciprocal division/mod functions
+ * It cannot be shared between threads
+ */
+struct bn_recp_ctx_st
+ {
+ BIGNUM N; /* the divisor */
+ BIGNUM Nr; /* the reciprocal */
+ int num_bits;
+ int shift;
+ int flags;
+ };
+
+/* Used for slow "generation" functions. */
+struct bn_gencb_st
+ {
+ unsigned int ver; /* To handle binary (in)compatibility */
+ void *arg; /* callback-specific data */
+ union
+ {
+ /* if(ver==1) - handles old style callbacks */
+ void (*cb_1)(int, int, void *);
+ /* if(ver==2) - new callback style */
+ int (*cb_2)(int, int, BN_GENCB *);
+ } cb;
+ };
+/* Wrapper function to make using BN_GENCB easier, */
+int BN_GENCB_call(BN_GENCB *cb, int a, int b);
+/* Macro to populate a BN_GENCB structure with an "old"-style callback */
+#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
+ BN_GENCB *tmp_gencb = (gencb); \
+ tmp_gencb->ver = 1; \
+ tmp_gencb->arg = (cb_arg); \
+ tmp_gencb->cb.cb_1 = (callback); }
+/* Macro to populate a BN_GENCB structure with a "new"-style callback */
+#define BN_GENCB_set(gencb, callback, cb_arg) { \
+ BN_GENCB *tmp_gencb = (gencb); \
+ tmp_gencb->ver = 2; \
+ tmp_gencb->arg = (cb_arg); \
+ tmp_gencb->cb.cb_2 = (callback); }
+
+#define BN_prime_checks 0 /* default: select number of iterations
+ based on the size of the number */
+
+/* number of Miller-Rabin iterations for an error rate of less than 2^-80
+ * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
+ * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
+ * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
+ * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
+#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
+ (b) >= 850 ? 3 : \
+ (b) >= 650 ? 4 : \
+ (b) >= 550 ? 5 : \
+ (b) >= 450 ? 6 : \
+ (b) >= 400 ? 7 : \
+ (b) >= 350 ? 8 : \
+ (b) >= 300 ? 9 : \
+ (b) >= 250 ? 12 : \
+ (b) >= 200 ? 15 : \
+ (b) >= 150 ? 18 : \
+ /* b >= 100 */ 27)
+
+#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
+
+/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
+#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
+ (((w) == 0) && ((a)->top == 0)))
+#define BN_is_zero(a) ((a)->top == 0)
+#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
+#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
+#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
+
+#define BN_one(a) (BN_set_word((a),1))
+#define BN_zero_ex(a) \
+ do { \
+ BIGNUM *_tmp_bn = (a); \
+ _tmp_bn->top = 0; \
+ _tmp_bn->neg = 0; \
+ } while(0)
+#ifdef OPENSSL_NO_DEPRECATED
+#define BN_zero(a) BN_zero_ex(a)
+#else
+#define BN_zero(a) (BN_set_word((a),0))
+#endif
+
+const BIGNUM *BN_value_one(void);
+char * BN_options(void);
+BN_CTX *BN_CTX_new(void);
+#ifndef OPENSSL_NO_DEPRECATED
+void BN_CTX_init(BN_CTX *c);
+#endif
+void BN_CTX_free(BN_CTX *c);
+void BN_CTX_start(BN_CTX *ctx);
+BIGNUM *BN_CTX_get(BN_CTX *ctx);
+void BN_CTX_end(BN_CTX *ctx);
+int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
+int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
+int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
+int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
+int BN_num_bits(const BIGNUM *a);
+int BN_num_bits_word(BN_ULONG);
+BIGNUM *BN_new(void);
+void BN_init(BIGNUM *);
+void BN_clear_free(BIGNUM *a);
+BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
+void BN_swap(BIGNUM *a, BIGNUM *b);
+BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
+int BN_bn2bin(const BIGNUM *a, unsigned char *to);
+BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
+int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
+int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
+int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
+int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
+int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
+int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
+/** BN_set_negative sets sign of a BIGNUM
+ * \param b pointer to the BIGNUM object
+ * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
+ */
+void BN_set_negative(BIGNUM *b, int n);
+/** BN_is_negative returns 1 if the BIGNUM is negative
+ * \param a pointer to the BIGNUM object
+ * \return 1 if a < 0 and 0 otherwise
+ */
+#define BN_is_negative(a) ((a)->neg != 0)
+
+int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
+ BN_CTX *ctx);
+#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
+int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
+int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
+int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
+int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
+int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
+int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
+
+BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
+BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
+int BN_mul_word(BIGNUM *a, BN_ULONG w);
+int BN_add_word(BIGNUM *a, BN_ULONG w);
+int BN_sub_word(BIGNUM *a, BN_ULONG w);
+int BN_set_word(BIGNUM *a, BN_ULONG w);
+BN_ULONG BN_get_word(const BIGNUM *a);
+
+int BN_cmp(const BIGNUM *a, const BIGNUM *b);
+void BN_free(BIGNUM *a);
+int BN_is_bit_set(const BIGNUM *a, int n);
+int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
+int BN_lshift1(BIGNUM *r, const BIGNUM *a);
+int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
+
+int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m,BN_CTX *ctx);
+int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
+int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
+int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
+int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
+ const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
+ BN_CTX *ctx,BN_MONT_CTX *m_ctx);
+int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m,BN_CTX *ctx);
+
+int BN_mask_bits(BIGNUM *a,int n);
+#ifndef OPENSSL_NO_FP_API
+int BN_print_fp(FILE *fp, const BIGNUM *a);
+#endif
+#ifdef HEADER_BIO_H
+int BN_print(BIO *fp, const BIGNUM *a);
+#else
+int BN_print(void *fp, const BIGNUM *a);
+#endif
+int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
+int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
+int BN_rshift1(BIGNUM *r, const BIGNUM *a);
+void BN_clear(BIGNUM *a);
+BIGNUM *BN_dup(const BIGNUM *a);
+int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
+int BN_set_bit(BIGNUM *a, int n);
+int BN_clear_bit(BIGNUM *a, int n);
+char * BN_bn2hex(const BIGNUM *a);
+char * BN_bn2dec(const BIGNUM *a);
+int BN_hex2bn(BIGNUM **a, const char *str);
+int BN_dec2bn(BIGNUM **a, const char *str);
+int BN_asc2bn(BIGNUM **a, const char *str);
+int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
+int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
+BIGNUM *BN_mod_inverse(BIGNUM *ret,
+ const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+BIGNUM *BN_mod_sqrt(BIGNUM *ret,
+ const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
+
+/* Deprecated versions */
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
+ const BIGNUM *add, const BIGNUM *rem,
+ void (*callback)(int,int,void *),void *cb_arg);
+int BN_is_prime(const BIGNUM *p,int nchecks,
+ void (*callback)(int,int,void *),
+ BN_CTX *ctx,void *cb_arg);
+int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
+ void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
+ int do_trial_division);
+#endif /* !defined(OPENSSL_NO_DEPRECATED) */
+
+/* Newer versions */
+int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
+ const BIGNUM *rem, BN_GENCB *cb);
+int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
+int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
+ int do_trial_division, BN_GENCB *cb);
+
+BN_MONT_CTX *BN_MONT_CTX_new(void );
+void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
+int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
+ BN_MONT_CTX *mont, BN_CTX *ctx);
+#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
+ (r),(a),&((mont)->RR),(mont),(ctx))
+int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
+ BN_MONT_CTX *mont, BN_CTX *ctx);
+void BN_MONT_CTX_free(BN_MONT_CTX *mont);
+int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);
+BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
+BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
+ const BIGNUM *mod, BN_CTX *ctx);
+
+/* BN_BLINDING flags */
+#define BN_BLINDING_NO_UPDATE 0x00000001
+#define BN_BLINDING_NO_RECREATE 0x00000002
+
+BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
+void BN_BLINDING_free(BN_BLINDING *b);
+int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
+int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
+int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
+int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
+int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
+#ifndef OPENSSL_NO_DEPRECATED
+unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
+void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
+#endif
+CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
+unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
+void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
+BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
+ const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
+ int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
+ BN_MONT_CTX *m_ctx);
+
+#ifndef OPENSSL_NO_DEPRECATED
+void BN_set_params(int mul,int high,int low,int mont);
+int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
+#endif
+
+void BN_RECP_CTX_init(BN_RECP_CTX *recp);
+BN_RECP_CTX *BN_RECP_CTX_new(void);
+void BN_RECP_CTX_free(BN_RECP_CTX *recp);
+int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
+int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
+ BN_RECP_CTX *recp,BN_CTX *ctx);
+int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx);
+int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
+ BN_RECP_CTX *recp, BN_CTX *ctx);
+
+/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
+ *
+ * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
+ * ignored.
+ *
+ * Note that input arguments are not const so that their bit arrays can
+ * be expanded to the appropriate size if needed.
+ */
+
+int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
+#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
+int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
+int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r = (a * a) mod p */
+int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
+ BN_CTX *ctx); /* r = (1 / b) mod p */
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
+int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
+int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r = sqrt(a) mod p */
+int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ BN_CTX *ctx); /* r^2 + r = a mod p */
+#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
+/* Some functions allow for representation of the irreducible polynomials
+ * as an unsigned int[], say p. The irreducible f(t) is then of the form:
+ * t^p[0] + t^p[1] + ... + t^p[k]
+ * where m = p[0] > p[1] > ... > p[k] = 0.
+ */
+int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
+ /* r = a mod p */
+int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
+ BN_CTX *ctx); /* r = (a * a) mod p */
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
+ BN_CTX *ctx); /* r = (1 / b) mod p */
+int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const int p[], BN_CTX *ctx); /* r = (a / b) mod p */
+int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ const int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
+int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
+ const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
+int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
+ const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
+int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
+int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
+
+/* faster mod functions for the 'NIST primes'
+ * 0 <= a < p^2 */
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
+
+const BIGNUM *BN_get0_nist_prime_192(void);
+const BIGNUM *BN_get0_nist_prime_224(void);
+const BIGNUM *BN_get0_nist_prime_256(void);
+const BIGNUM *BN_get0_nist_prime_384(void);
+const BIGNUM *BN_get0_nist_prime_521(void);
+
+/* library internal functions */
+
+#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
+ (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
+#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
+BIGNUM *bn_expand2(BIGNUM *a, int words);
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
+#endif
+
+/* Bignum consistency macros
+ * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
+ * bignum data after direct manipulations on the data. There is also an
+ * "internal" macro, bn_check_top(), for verifying that there are no leading
+ * zeroes. Unfortunately, some auditing is required due to the fact that
+ * bn_fix_top() has become an overabused duct-tape because bignum data is
+ * occasionally passed around in an inconsistent state. So the following
+ * changes have been made to sort this out;
+ * - bn_fix_top()s implementation has been moved to bn_correct_top()
+ * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
+ * bn_check_top() is as before.
+ * - if BN_DEBUG *is* defined;
+ * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
+ * consistent. (ed: only if BN_DEBUG_RAND is defined)
+ * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
+ * The idea is to have debug builds flag up inconsistent bignums when they
+ * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
+ * the use of bn_fix_top() was appropriate (ie. it follows directly after code
+ * that manipulates the bignum) it is converted to bn_correct_top(), and if it
+ * was not appropriate, we convert it permanently to bn_check_top() and track
+ * down the cause of the bug. Eventually, no internal code should be using the
+ * bn_fix_top() macro. External applications and libraries should try this with
+ * their own code too, both in terms of building against the openssl headers
+ * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
+ * defined. This not only improves external code, it provides more test
+ * coverage for openssl's own code.
+ */
+
+#ifdef BN_DEBUG
+
+/* We only need assert() when debugging */
+#include <assert.h>
+
+#ifdef BN_DEBUG_RAND
+/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
+#ifndef RAND_pseudo_bytes
+int RAND_pseudo_bytes(unsigned char *buf,int num);
+#define BN_DEBUG_TRIX
+#endif
+#define bn_pollute(a) \
+ do { \
+ const BIGNUM *_bnum1 = (a); \
+ if(_bnum1->top < _bnum1->dmax) { \
+ unsigned char _tmp_char; \
+ /* We cast away const without the compiler knowing, any \
+ * *genuinely* constant variables that aren't mutable \
+ * wouldn't be constructed with top!=dmax. */ \
+ BN_ULONG *_not_const; \
+ memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
+ RAND_pseudo_bytes(&_tmp_char, 1); \
+ memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
+ (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
+ } \
+ } while(0)
+#ifdef BN_DEBUG_TRIX
+#undef RAND_pseudo_bytes
+#endif
+#else
+#define bn_pollute(a)
+#endif
+#define bn_check_top(a) \
+ do { \
+ const BIGNUM *_bnum2 = (a); \
+ if (_bnum2 != NULL) { \
+ assert((_bnum2->top == 0) || \
+ (_bnum2->d[_bnum2->top - 1] != 0)); \
+ bn_pollute(_bnum2); \
+ } \
+ } while(0)
+
+#define bn_fix_top(a) bn_check_top(a)
+
+#else /* !BN_DEBUG */
+
+#define bn_pollute(a)
+#define bn_check_top(a)
+#define bn_fix_top(a) bn_correct_top(a)
+
+#endif
+
+#define bn_correct_top(a) \
+ { \
+ BN_ULONG *ftl; \
+ int tmp_top = (a)->top; \
+ if (tmp_top > 0) \
+ { \
+ for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
+ if (*(ftl--)) break; \
+ (a)->top = tmp_top; \
+ } \
+ bn_pollute(a); \
+ }
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
+void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
+
+/* Primes from RFC 2409 */
+BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
+BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
+
+/* Primes from RFC 3526 */
+BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
+BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
+
+int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
+
+/* BEGIN ERROR CODES */
+/* The following lines are auto generated by the script mkerr.pl. Any changes
+ * made after this point may be overwritten when the script is next run.
+ */
+void ERR_load_BN_strings(void);
+
+/* Error codes for the BN functions. */
+
+/* Function codes. */
+#define BN_F_BNRAND 127
+#define BN_F_BN_BLINDING_CONVERT_EX 100
+#define BN_F_BN_BLINDING_CREATE_PARAM 128
+#define BN_F_BN_BLINDING_INVERT_EX 101
+#define BN_F_BN_BLINDING_NEW 102
+#define BN_F_BN_BLINDING_UPDATE 103
+#define BN_F_BN_BN2DEC 104
+#define BN_F_BN_BN2HEX 105
+#define BN_F_BN_CTX_GET 116
+#define BN_F_BN_CTX_NEW 106
+#define BN_F_BN_CTX_START 129
+#define BN_F_BN_DIV 107
+#define BN_F_BN_DIV_NO_BRANCH 138
+#define BN_F_BN_DIV_RECP 130
+#define BN_F_BN_EXP 123
+#define BN_F_BN_EXPAND2 108
+#define BN_F_BN_EXPAND_INTERNAL 120
+#define BN_F_BN_GF2M_MOD 131
+#define BN_F_BN_GF2M_MOD_EXP 132
+#define BN_F_BN_GF2M_MOD_MUL 133
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
+#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
+#define BN_F_BN_GF2M_MOD_SQR 136
+#define BN_F_BN_GF2M_MOD_SQRT 137
+#define BN_F_BN_MOD_EXP2_MONT 118
+#define BN_F_BN_MOD_EXP_MONT 109
+#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
+#define BN_F_BN_MOD_EXP_MONT_WORD 117
+#define BN_F_BN_MOD_EXP_RECP 125
+#define BN_F_BN_MOD_EXP_SIMPLE 126
+#define BN_F_BN_MOD_INVERSE 110
+#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
+#define BN_F_BN_MOD_LSHIFT_QUICK 119
+#define BN_F_BN_MOD_MUL_RECIPROCAL 111
+#define BN_F_BN_MOD_SQRT 121
+#define BN_F_BN_MPI2BN 112
+#define BN_F_BN_NEW 113
+#define BN_F_BN_RAND 114
+#define BN_F_BN_RAND_RANGE 122
+#define BN_F_BN_USUB 115
+
+/* Reason codes. */
+#define BN_R_ARG2_LT_ARG3 100
+#define BN_R_BAD_RECIPROCAL 101
+#define BN_R_BIGNUM_TOO_LONG 114
+#define BN_R_CALLED_WITH_EVEN_MODULUS 102
+#define BN_R_DIV_BY_ZERO 103
+#define BN_R_ENCODING_ERROR 104
+#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
+#define BN_R_INPUT_NOT_REDUCED 110
+#define BN_R_INVALID_LENGTH 106
+#define BN_R_INVALID_RANGE 115
+#define BN_R_NOT_A_SQUARE 111
+#define BN_R_NOT_INITIALIZED 107
+#define BN_R_NO_INVERSE 108
+#define BN_R_NO_SOLUTION 116
+#define BN_R_P_IS_NOT_PRIME 112
+#define BN_R_TOO_MANY_ITERATIONS 113
+#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
+
+#ifdef __cplusplus
+}
+#endif
+#endif
diff --git a/openssl/crypto/bn/bn.mul b/openssl/crypto/bn/bn.mul
new file mode 100644
index 00000000..9728870d
--- /dev/null
+++ b/openssl/crypto/bn/bn.mul
@@ -0,0 +1,19 @@
+We need
+
+* bn_mul_comba8
+* bn_mul_comba4
+* bn_mul_normal
+* bn_mul_recursive
+
+* bn_sqr_comba8
+* bn_sqr_comba4
+bn_sqr_normal -> BN_sqr
+* bn_sqr_recursive
+
+* bn_mul_low_recursive
+* bn_mul_low_normal
+* bn_mul_high
+
+* bn_mul_part_recursive # symetric but not power of 2
+
+bn_mul_asymetric_recursive # uneven, but do the chop up.
diff --git a/openssl/crypto/bn/bn_add.c b/openssl/crypto/bn/bn_add.c
new file mode 100644
index 00000000..94051637
--- /dev/null
+++ b/openssl/crypto/bn/bn_add.c
@@ -0,0 +1,313 @@
+/* crypto/bn/bn_add.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* r can == a or b */
+int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+ {
+ const BIGNUM *tmp;
+ int a_neg = a->neg, ret;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ /* a + b a+b
+ * a + -b a-b
+ * -a + b b-a
+ * -a + -b -(a+b)
+ */
+ if (a_neg ^ b->neg)
+ {
+ /* only one is negative */
+ if (a_neg)
+ { tmp=a; a=b; b=tmp; }
+
+ /* we are now a - b */
+
+ if (BN_ucmp(a,b) < 0)
+ {
+ if (!BN_usub(r,b,a)) return(0);
+ r->neg=1;
+ }
+ else
+ {
+ if (!BN_usub(r,a,b)) return(0);
+ r->neg=0;
+ }
+ return(1);
+ }
+
+ ret = BN_uadd(r,a,b);
+ r->neg = a_neg;
+ bn_check_top(r);
+ return ret;
+ }
+
+/* unsigned add of b to a */
+int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+ {
+ int max,min,dif;
+ BN_ULONG *ap,*bp,*rp,carry,t1,t2;
+ const BIGNUM *tmp;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->top < b->top)
+ { tmp=a; a=b; b=tmp; }
+ max = a->top;
+ min = b->top;
+ dif = max - min;
+
+ if (bn_wexpand(r,max+1) == NULL)
+ return 0;
+
+ r->top=max;
+
+
+ ap=a->d;
+ bp=b->d;
+ rp=r->d;
+
+ carry=bn_add_words(rp,ap,bp,min);
+ rp+=min;
+ ap+=min;
+ bp+=min;
+
+ if (carry)
+ {
+ while (dif)
+ {
+ dif--;
+ t1 = *(ap++);
+ t2 = (t1+1) & BN_MASK2;
+ *(rp++) = t2;
+ if (t2)
+ {
+ carry=0;
+ break;
+ }
+ }
+ if (carry)
+ {
+ /* carry != 0 => dif == 0 */
+ *rp = 1;
+ r->top++;
+ }
+ }
+ if (dif && rp != ap)
+ while (dif--)
+ /* copy remaining words if ap != rp */
+ *(rp++) = *(ap++);
+ r->neg = 0;
+ bn_check_top(r);
+ return 1;
+ }
+
+/* unsigned subtraction of b from a, a must be larger than b. */
+int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+ {
+ int max,min,dif;
+ register BN_ULONG t1,t2,*ap,*bp,*rp;
+ int i,carry;
+#if defined(IRIX_CC_BUG) && !defined(LINT)
+ int dummy;
+#endif
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ max = a->top;
+ min = b->top;
+ dif = max - min;
+
+ if (dif < 0) /* hmm... should not be happening */
+ {
+ BNerr(BN_F_BN_USUB,BN_R_ARG2_LT_ARG3);
+ return(0);
+ }
+
+ if (bn_wexpand(r,max) == NULL) return(0);
+
+ ap=a->d;
+ bp=b->d;
+ rp=r->d;
+
+#if 1
+ carry=0;
+ for (i = min; i != 0; i--)
+ {
+ t1= *(ap++);
+ t2= *(bp++);
+ if (carry)
+ {
+ carry=(t1 <= t2);
+ t1=(t1-t2-1)&BN_MASK2;
+ }
+ else
+ {
+ carry=(t1 < t2);
+ t1=(t1-t2)&BN_MASK2;
+ }
+#if defined(IRIX_CC_BUG) && !defined(LINT)
+ dummy=t1;
+#endif
+ *(rp++)=t1&BN_MASK2;
+ }
+#else
+ carry=bn_sub_words(rp,ap,bp,min);
+ ap+=min;
+ bp+=min;
+ rp+=min;
+#endif
+ if (carry) /* subtracted */
+ {
+ if (!dif)
+ /* error: a < b */
+ return 0;
+ while (dif)
+ {
+ dif--;
+ t1 = *(ap++);
+ t2 = (t1-1)&BN_MASK2;
+ *(rp++) = t2;
+ if (t1)
+ break;
+ }
+ }
+#if 0
+ memcpy(rp,ap,sizeof(*rp)*(max-i));
+#else
+ if (rp != ap)
+ {
+ for (;;)
+ {
+ if (!dif--) break;
+ rp[0]=ap[0];
+ if (!dif--) break;
+ rp[1]=ap[1];
+ if (!dif--) break;
+ rp[2]=ap[2];
+ if (!dif--) break;
+ rp[3]=ap[3];
+ rp+=4;
+ ap+=4;
+ }
+ }
+#endif
+
+ r->top=max;
+ r->neg=0;
+ bn_correct_top(r);
+ return(1);
+ }
+
+int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+ {
+ int max;
+ int add=0,neg=0;
+ const BIGNUM *tmp;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ /* a - b a-b
+ * a - -b a+b
+ * -a - b -(a+b)
+ * -a - -b b-a
+ */
+ if (a->neg)
+ {
+ if (b->neg)
+ { tmp=a; a=b; b=tmp; }
+ else
+ { add=1; neg=1; }
+ }
+ else
+ {
+ if (b->neg) { add=1; neg=0; }
+ }
+
+ if (add)
+ {
+ if (!BN_uadd(r,a,b)) return(0);
+ r->neg=neg;
+ return(1);
+ }
+
+ /* We are actually doing a - b :-) */
+
+ max=(a->top > b->top)?a->top:b->top;
+ if (bn_wexpand(r,max) == NULL) return(0);
+ if (BN_ucmp(a,b) < 0)
+ {
+ if (!BN_usub(r,b,a)) return(0);
+ r->neg=1;
+ }
+ else
+ {
+ if (!BN_usub(r,a,b)) return(0);
+ r->neg=0;
+ }
+ bn_check_top(r);
+ return(1);
+ }
+
diff --git a/openssl/crypto/bn/bn_asm.c b/openssl/crypto/bn/bn_asm.c
new file mode 100644
index 00000000..c43c91cc
--- /dev/null
+++ b/openssl/crypto/bn/bn_asm.c
@@ -0,0 +1,1030 @@
+/* crypto/bn/bn_asm.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
+#include <stdio.h>
+#include <assert.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG c1=0;
+
+ assert(num >= 0);
+ if (num <= 0) return(c1);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num&~3)
+ {
+ mul_add(rp[0],ap[0],w,c1);
+ mul_add(rp[1],ap[1],w,c1);
+ mul_add(rp[2],ap[2],w,c1);
+ mul_add(rp[3],ap[3],w,c1);
+ ap+=4; rp+=4; num-=4;
+ }
+#endif
+ while (num)
+ {
+ mul_add(rp[0],ap[0],w,c1);
+ ap++; rp++; num--;
+ }
+
+ return(c1);
+ }
+
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG c1=0;
+
+ assert(num >= 0);
+ if (num <= 0) return(c1);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num&~3)
+ {
+ mul(rp[0],ap[0],w,c1);
+ mul(rp[1],ap[1],w,c1);
+ mul(rp[2],ap[2],w,c1);
+ mul(rp[3],ap[3],w,c1);
+ ap+=4; rp+=4; num-=4;
+ }
+#endif
+ while (num)
+ {
+ mul(rp[0],ap[0],w,c1);
+ ap++; rp++; num--;
+ }
+ return(c1);
+ }
+
+void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
+ {
+ assert(n >= 0);
+ if (n <= 0) return;
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n&~3)
+ {
+ sqr(r[0],r[1],a[0]);
+ sqr(r[2],r[3],a[1]);
+ sqr(r[4],r[5],a[2]);
+ sqr(r[6],r[7],a[3]);
+ a+=4; r+=8; n-=4;
+ }
+#endif
+ while (n)
+ {
+ sqr(r[0],r[1],a[0]);
+ a++; r+=2; n--;
+ }
+ }
+
+#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG c=0;
+ BN_ULONG bl,bh;
+
+ assert(num >= 0);
+ if (num <= 0) return((BN_ULONG)0);
+
+ bl=LBITS(w);
+ bh=HBITS(w);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num&~3)
+ {
+ mul_add(rp[0],ap[0],bl,bh,c);
+ mul_add(rp[1],ap[1],bl,bh,c);
+ mul_add(rp[2],ap[2],bl,bh,c);
+ mul_add(rp[3],ap[3],bl,bh,c);
+ ap+=4; rp+=4; num-=4;
+ }
+#endif
+ while (num)
+ {
+ mul_add(rp[0],ap[0],bl,bh,c);
+ ap++; rp++; num--;
+ }
+ return(c);
+ }
+
+BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
+ {
+ BN_ULONG carry=0;
+ BN_ULONG bl,bh;
+
+ assert(num >= 0);
+ if (num <= 0) return((BN_ULONG)0);
+
+ bl=LBITS(w);
+ bh=HBITS(w);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num&~3)
+ {
+ mul(rp[0],ap[0],bl,bh,carry);
+ mul(rp[1],ap[1],bl,bh,carry);
+ mul(rp[2],ap[2],bl,bh,carry);
+ mul(rp[3],ap[3],bl,bh,carry);
+ ap+=4; rp+=4; num-=4;
+ }
+#endif
+ while (num)
+ {
+ mul(rp[0],ap[0],bl,bh,carry);
+ ap++; rp++; num--;
+ }
+ return(carry);
+ }
+
+void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
+ {
+ assert(n >= 0);
+ if (n <= 0) return;
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n&~3)
+ {
+ sqr64(r[0],r[1],a[0]);
+ sqr64(r[2],r[3],a[1]);
+ sqr64(r[4],r[5],a[2]);
+ sqr64(r[6],r[7],a[3]);
+ a+=4; r+=8; n-=4;
+ }
+#endif
+ while (n)
+ {
+ sqr64(r[0],r[1],a[0]);
+ a++; r+=2; n--;
+ }
+ }
+
+#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
+
+#if defined(BN_LLONG) && defined(BN_DIV2W)
+
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
+ {
+ return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
+ }
+
+#else
+
+/* Divide h,l by d and return the result. */
+/* I need to test this some more :-( */
+BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
+ {
+ BN_ULONG dh,dl,q,ret=0,th,tl,t;
+ int i,count=2;
+
+ if (d == 0) return(BN_MASK2);
+
+ i=BN_num_bits_word(d);
+ assert((i == BN_BITS2) || (h <= (BN_ULONG)1<<i));
+
+ i=BN_BITS2-i;
+ if (h >= d) h-=d;
+
+ if (i)
+ {
+ d<<=i;
+ h=(h<<i)|(l>>(BN_BITS2-i));
+ l<<=i;
+ }
+ dh=(d&BN_MASK2h)>>BN_BITS4;
+ dl=(d&BN_MASK2l);
+ for (;;)
+ {
+ if ((h>>BN_BITS4) == dh)
+ q=BN_MASK2l;
+ else
+ q=h/dh;
+
+ th=q*dh;
+ tl=dl*q;
+ for (;;)
+ {
+ t=h-th;
+ if ((t&BN_MASK2h) ||
+ ((tl) <= (
+ (t<<BN_BITS4)|
+ ((l&BN_MASK2h)>>BN_BITS4))))
+ break;
+ q--;
+ th-=dh;
+ tl-=dl;
+ }
+ t=(tl>>BN_BITS4);
+ tl=(tl<<BN_BITS4)&BN_MASK2h;
+ th+=t;
+
+ if (l < tl) th++;
+ l-=tl;
+ if (h < th)
+ {
+ h+=d;
+ q--;
+ }
+ h-=th;
+
+ if (--count == 0) break;
+
+ ret=q<<BN_BITS4;
+ h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
+ l=(l&BN_MASK2l)<<BN_BITS4;
+ }
+ ret|=q;
+ return(ret);
+ }
+#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
+
+#ifdef BN_LLONG
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
+ {
+ BN_ULLONG ll=0;
+
+ assert(n >= 0);
+ if (n <= 0) return((BN_ULONG)0);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n&~3)
+ {
+ ll+=(BN_ULLONG)a[0]+b[0];
+ r[0]=(BN_ULONG)ll&BN_MASK2;
+ ll>>=BN_BITS2;
+ ll+=(BN_ULLONG)a[1]+b[1];
+ r[1]=(BN_ULONG)ll&BN_MASK2;
+ ll>>=BN_BITS2;
+ ll+=(BN_ULLONG)a[2]+b[2];
+ r[2]=(BN_ULONG)ll&BN_MASK2;
+ ll>>=BN_BITS2;
+ ll+=(BN_ULLONG)a[3]+b[3];
+ r[3]=(BN_ULONG)ll&BN_MASK2;
+ ll>>=BN_BITS2;
+ a+=4; b+=4; r+=4; n-=4;
+ }
+#endif
+ while (n)
+ {
+ ll+=(BN_ULLONG)a[0]+b[0];
+ r[0]=(BN_ULONG)ll&BN_MASK2;
+ ll>>=BN_BITS2;
+ a++; b++; r++; n--;
+ }
+ return((BN_ULONG)ll);
+ }
+#else /* !BN_LLONG */
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
+ {
+ BN_ULONG c,l,t;
+
+ assert(n >= 0);
+ if (n <= 0) return((BN_ULONG)0);
+
+ c=0;
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n&~3)
+ {
+ t=a[0];
+ t=(t+c)&BN_MASK2;
+ c=(t < c);
+ l=(t+b[0])&BN_MASK2;
+ c+=(l < t);
+ r[0]=l;
+ t=a[1];
+ t=(t+c)&BN_MASK2;
+ c=(t < c);
+ l=(t+b[1])&BN_MASK2;
+ c+=(l < t);
+ r[1]=l;
+ t=a[2];
+ t=(t+c)&BN_MASK2;
+ c=(t < c);
+ l=(t+b[2])&BN_MASK2;
+ c+=(l < t);
+ r[2]=l;
+ t=a[3];
+ t=(t+c)&BN_MASK2;
+ c=(t < c);
+ l=(t+b[3])&BN_MASK2;
+ c+=(l < t);
+ r[3]=l;
+ a+=4; b+=4; r+=4; n-=4;
+ }
+#endif
+ while(n)
+ {
+ t=a[0];
+ t=(t+c)&BN_MASK2;
+ c=(t < c);
+ l=(t+b[0])&BN_MASK2;
+ c+=(l < t);
+ r[0]=l;
+ a++; b++; r++; n--;
+ }
+ return((BN_ULONG)c);
+ }
+#endif /* !BN_LLONG */
+
+BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
+ {
+ BN_ULONG t1,t2;
+ int c=0;
+
+ assert(n >= 0);
+ if (n <= 0) return((BN_ULONG)0);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n&~3)
+ {
+ t1=a[0]; t2=b[0];
+ r[0]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ t1=a[1]; t2=b[1];
+ r[1]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ t1=a[2]; t2=b[2];
+ r[2]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ t1=a[3]; t2=b[3];
+ r[3]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ a+=4; b+=4; r+=4; n-=4;
+ }
+#endif
+ while (n)
+ {
+ t1=a[0]; t2=b[0];
+ r[0]=(t1-t2-c)&BN_MASK2;
+ if (t1 != t2) c=(t1 < t2);
+ a++; b++; r++; n--;
+ }
+ return(c);
+ }
+
+#if defined(BN_MUL_COMBA) && !defined(OPENSSL_SMALL_FOOTPRINT)
+
+#undef bn_mul_comba8
+#undef bn_mul_comba4
+#undef bn_sqr_comba8
+#undef bn_sqr_comba4
+
+/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
+/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
+/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
+/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
+
+#ifdef BN_LLONG
+#define mul_add_c(a,b,c0,c1,c2) \
+ t=(BN_ULLONG)a*b; \
+ t1=(BN_ULONG)Lw(t); \
+ t2=(BN_ULONG)Hw(t); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define mul_add_c2(a,b,c0,c1,c2) \
+ t=(BN_ULLONG)a*b; \
+ tt=(t+t)&BN_MASK; \
+ if (tt < t) c2++; \
+ t1=(BN_ULONG)Lw(tt); \
+ t2=(BN_ULONG)Hw(tt); \
+ c0=(c0+t1)&BN_MASK2; \
+ if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define sqr_add_c(a,i,c0,c1,c2) \
+ t=(BN_ULLONG)a[i]*a[i]; \
+ t1=(BN_ULONG)Lw(t); \
+ t2=(BN_ULONG)Hw(t); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+#elif defined(BN_UMULT_LOHI)
+
+#define mul_add_c(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b); \
+ BN_UMULT_LOHI(t1,t2,ta,tb); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define mul_add_c2(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b),t0; \
+ BN_UMULT_LOHI(t0,t1,ta,tb); \
+ t2 = t1+t1; c2 += (t2<t1)?1:0; \
+ t1 = t0+t0; t2 += (t1<t0)?1:0; \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define sqr_add_c(a,i,c0,c1,c2) { \
+ BN_ULONG ta=(a)[i]; \
+ BN_UMULT_LOHI(t1,t2,ta,ta); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+#elif defined(BN_UMULT_HIGH)
+
+#define mul_add_c(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b); \
+ t1 = ta * tb; \
+ t2 = BN_UMULT_HIGH(ta,tb); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define mul_add_c2(a,b,c0,c1,c2) { \
+ BN_ULONG ta=(a),tb=(b),t0; \
+ t1 = BN_UMULT_HIGH(ta,tb); \
+ t0 = ta * tb; \
+ t2 = t1+t1; c2 += (t2<t1)?1:0; \
+ t1 = t0+t0; t2 += (t1<t0)?1:0; \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define sqr_add_c(a,i,c0,c1,c2) { \
+ BN_ULONG ta=(a)[i]; \
+ t1 = ta * ta; \
+ t2 = BN_UMULT_HIGH(ta,ta); \
+ c0 += t1; t2 += (c0<t1)?1:0; \
+ c1 += t2; c2 += (c1<t2)?1:0; \
+ }
+
+#define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+#else /* !BN_LLONG */
+#define mul_add_c(a,b,c0,c1,c2) \
+ t1=LBITS(a); t2=HBITS(a); \
+ bl=LBITS(b); bh=HBITS(b); \
+ mul64(t1,t2,bl,bh); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define mul_add_c2(a,b,c0,c1,c2) \
+ t1=LBITS(a); t2=HBITS(a); \
+ bl=LBITS(b); bh=HBITS(b); \
+ mul64(t1,t2,bl,bh); \
+ if (t2 & BN_TBIT) c2++; \
+ t2=(t2+t2)&BN_MASK2; \
+ if (t1 & BN_TBIT) t2++; \
+ t1=(t1+t1)&BN_MASK2; \
+ c0=(c0+t1)&BN_MASK2; \
+ if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define sqr_add_c(a,i,c0,c1,c2) \
+ sqr64(t1,t2,(a)[i]); \
+ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
+ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
+
+#define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+#endif /* !BN_LLONG */
+
+void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t;
+#else
+ BN_ULONG bl,bh;
+#endif
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ mul_add_c(a[0],b[0],c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ mul_add_c(a[0],b[1],c2,c3,c1);
+ mul_add_c(a[1],b[0],c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ mul_add_c(a[2],b[0],c3,c1,c2);
+ mul_add_c(a[1],b[1],c3,c1,c2);
+ mul_add_c(a[0],b[2],c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ mul_add_c(a[0],b[3],c1,c2,c3);
+ mul_add_c(a[1],b[2],c1,c2,c3);
+ mul_add_c(a[2],b[1],c1,c2,c3);
+ mul_add_c(a[3],b[0],c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ mul_add_c(a[4],b[0],c2,c3,c1);
+ mul_add_c(a[3],b[1],c2,c3,c1);
+ mul_add_c(a[2],b[2],c2,c3,c1);
+ mul_add_c(a[1],b[3],c2,c3,c1);
+ mul_add_c(a[0],b[4],c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ mul_add_c(a[0],b[5],c3,c1,c2);
+ mul_add_c(a[1],b[4],c3,c1,c2);
+ mul_add_c(a[2],b[3],c3,c1,c2);
+ mul_add_c(a[3],b[2],c3,c1,c2);
+ mul_add_c(a[4],b[1],c3,c1,c2);
+ mul_add_c(a[5],b[0],c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ mul_add_c(a[6],b[0],c1,c2,c3);
+ mul_add_c(a[5],b[1],c1,c2,c3);
+ mul_add_c(a[4],b[2],c1,c2,c3);
+ mul_add_c(a[3],b[3],c1,c2,c3);
+ mul_add_c(a[2],b[4],c1,c2,c3);
+ mul_add_c(a[1],b[5],c1,c2,c3);
+ mul_add_c(a[0],b[6],c1,c2,c3);
+ r[6]=c1;
+ c1=0;
+ mul_add_c(a[0],b[7],c2,c3,c1);
+ mul_add_c(a[1],b[6],c2,c3,c1);
+ mul_add_c(a[2],b[5],c2,c3,c1);
+ mul_add_c(a[3],b[4],c2,c3,c1);
+ mul_add_c(a[4],b[3],c2,c3,c1);
+ mul_add_c(a[5],b[2],c2,c3,c1);
+ mul_add_c(a[6],b[1],c2,c3,c1);
+ mul_add_c(a[7],b[0],c2,c3,c1);
+ r[7]=c2;
+ c2=0;
+ mul_add_c(a[7],b[1],c3,c1,c2);
+ mul_add_c(a[6],b[2],c3,c1,c2);
+ mul_add_c(a[5],b[3],c3,c1,c2);
+ mul_add_c(a[4],b[4],c3,c1,c2);
+ mul_add_c(a[3],b[5],c3,c1,c2);
+ mul_add_c(a[2],b[6],c3,c1,c2);
+ mul_add_c(a[1],b[7],c3,c1,c2);
+ r[8]=c3;
+ c3=0;
+ mul_add_c(a[2],b[7],c1,c2,c3);
+ mul_add_c(a[3],b[6],c1,c2,c3);
+ mul_add_c(a[4],b[5],c1,c2,c3);
+ mul_add_c(a[5],b[4],c1,c2,c3);
+ mul_add_c(a[6],b[3],c1,c2,c3);
+ mul_add_c(a[7],b[2],c1,c2,c3);
+ r[9]=c1;
+ c1=0;
+ mul_add_c(a[7],b[3],c2,c3,c1);
+ mul_add_c(a[6],b[4],c2,c3,c1);
+ mul_add_c(a[5],b[5],c2,c3,c1);
+ mul_add_c(a[4],b[6],c2,c3,c1);
+ mul_add_c(a[3],b[7],c2,c3,c1);
+ r[10]=c2;
+ c2=0;
+ mul_add_c(a[4],b[7],c3,c1,c2);
+ mul_add_c(a[5],b[6],c3,c1,c2);
+ mul_add_c(a[6],b[5],c3,c1,c2);
+ mul_add_c(a[7],b[4],c3,c1,c2);
+ r[11]=c3;
+ c3=0;
+ mul_add_c(a[7],b[5],c1,c2,c3);
+ mul_add_c(a[6],b[6],c1,c2,c3);
+ mul_add_c(a[5],b[7],c1,c2,c3);
+ r[12]=c1;
+ c1=0;
+ mul_add_c(a[6],b[7],c2,c3,c1);
+ mul_add_c(a[7],b[6],c2,c3,c1);
+ r[13]=c2;
+ c2=0;
+ mul_add_c(a[7],b[7],c3,c1,c2);
+ r[14]=c3;
+ r[15]=c1;
+ }
+
+void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t;
+#else
+ BN_ULONG bl,bh;
+#endif
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ mul_add_c(a[0],b[0],c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ mul_add_c(a[0],b[1],c2,c3,c1);
+ mul_add_c(a[1],b[0],c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ mul_add_c(a[2],b[0],c3,c1,c2);
+ mul_add_c(a[1],b[1],c3,c1,c2);
+ mul_add_c(a[0],b[2],c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ mul_add_c(a[0],b[3],c1,c2,c3);
+ mul_add_c(a[1],b[2],c1,c2,c3);
+ mul_add_c(a[2],b[1],c1,c2,c3);
+ mul_add_c(a[3],b[0],c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ mul_add_c(a[3],b[1],c2,c3,c1);
+ mul_add_c(a[2],b[2],c2,c3,c1);
+ mul_add_c(a[1],b[3],c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ mul_add_c(a[2],b[3],c3,c1,c2);
+ mul_add_c(a[3],b[2],c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ mul_add_c(a[3],b[3],c1,c2,c3);
+ r[6]=c1;
+ r[7]=c2;
+ }
+
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t,tt;
+#else
+ BN_ULONG bl,bh;
+#endif
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ sqr_add_c(a,0,c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ sqr_add_c2(a,1,0,c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ sqr_add_c(a,1,c3,c1,c2);
+ sqr_add_c2(a,2,0,c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ sqr_add_c2(a,3,0,c1,c2,c3);
+ sqr_add_c2(a,2,1,c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ sqr_add_c(a,2,c2,c3,c1);
+ sqr_add_c2(a,3,1,c2,c3,c1);
+ sqr_add_c2(a,4,0,c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ sqr_add_c2(a,5,0,c3,c1,c2);
+ sqr_add_c2(a,4,1,c3,c1,c2);
+ sqr_add_c2(a,3,2,c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ sqr_add_c(a,3,c1,c2,c3);
+ sqr_add_c2(a,4,2,c1,c2,c3);
+ sqr_add_c2(a,5,1,c1,c2,c3);
+ sqr_add_c2(a,6,0,c1,c2,c3);
+ r[6]=c1;
+ c1=0;
+ sqr_add_c2(a,7,0,c2,c3,c1);
+ sqr_add_c2(a,6,1,c2,c3,c1);
+ sqr_add_c2(a,5,2,c2,c3,c1);
+ sqr_add_c2(a,4,3,c2,c3,c1);
+ r[7]=c2;
+ c2=0;
+ sqr_add_c(a,4,c3,c1,c2);
+ sqr_add_c2(a,5,3,c3,c1,c2);
+ sqr_add_c2(a,6,2,c3,c1,c2);
+ sqr_add_c2(a,7,1,c3,c1,c2);
+ r[8]=c3;
+ c3=0;
+ sqr_add_c2(a,7,2,c1,c2,c3);
+ sqr_add_c2(a,6,3,c1,c2,c3);
+ sqr_add_c2(a,5,4,c1,c2,c3);
+ r[9]=c1;
+ c1=0;
+ sqr_add_c(a,5,c2,c3,c1);
+ sqr_add_c2(a,6,4,c2,c3,c1);
+ sqr_add_c2(a,7,3,c2,c3,c1);
+ r[10]=c2;
+ c2=0;
+ sqr_add_c2(a,7,4,c3,c1,c2);
+ sqr_add_c2(a,6,5,c3,c1,c2);
+ r[11]=c3;
+ c3=0;
+ sqr_add_c(a,6,c1,c2,c3);
+ sqr_add_c2(a,7,5,c1,c2,c3);
+ r[12]=c1;
+ c1=0;
+ sqr_add_c2(a,7,6,c2,c3,c1);
+ r[13]=c2;
+ c2=0;
+ sqr_add_c(a,7,c3,c1,c2);
+ r[14]=c3;
+ r[15]=c1;
+ }
+
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t,tt;
+#else
+ BN_ULONG bl,bh;
+#endif
+ BN_ULONG t1,t2;
+ BN_ULONG c1,c2,c3;
+
+ c1=0;
+ c2=0;
+ c3=0;
+ sqr_add_c(a,0,c1,c2,c3);
+ r[0]=c1;
+ c1=0;
+ sqr_add_c2(a,1,0,c2,c3,c1);
+ r[1]=c2;
+ c2=0;
+ sqr_add_c(a,1,c3,c1,c2);
+ sqr_add_c2(a,2,0,c3,c1,c2);
+ r[2]=c3;
+ c3=0;
+ sqr_add_c2(a,3,0,c1,c2,c3);
+ sqr_add_c2(a,2,1,c1,c2,c3);
+ r[3]=c1;
+ c1=0;
+ sqr_add_c(a,2,c2,c3,c1);
+ sqr_add_c2(a,3,1,c2,c3,c1);
+ r[4]=c2;
+ c2=0;
+ sqr_add_c2(a,3,2,c3,c1,c2);
+ r[5]=c3;
+ c3=0;
+ sqr_add_c(a,3,c1,c2,c3);
+ r[6]=c1;
+ r[7]=c2;
+ }
+
+#ifdef OPENSSL_NO_ASM
+#ifdef OPENSSL_BN_ASM_MONT
+#include <alloca.h>
+/*
+ * This is essentially reference implementation, which may or may not
+ * result in performance improvement. E.g. on IA-32 this routine was
+ * observed to give 40% faster rsa1024 private key operations and 10%
+ * faster rsa4096 ones, while on AMD64 it improves rsa1024 sign only
+ * by 10% and *worsens* rsa4096 sign by 15%. Once again, it's a
+ * reference implementation, one to be used as starting point for
+ * platform-specific assembler. Mentioned numbers apply to compiler
+ * generated code compiled with and without -DOPENSSL_BN_ASM_MONT and
+ * can vary not only from platform to platform, but even for compiler
+ * versions. Assembler vs. assembler improvement coefficients can
+ * [and are known to] differ and are to be documented elsewhere.
+ */
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0p, int num)
+ {
+ BN_ULONG c0,c1,ml,*tp,n0;
+#ifdef mul64
+ BN_ULONG mh;
+#endif
+ volatile BN_ULONG *vp;
+ int i=0,j;
+
+#if 0 /* template for platform-specific implementation */
+ if (ap==bp) return bn_sqr_mont(rp,ap,np,n0p,num);
+#endif
+ vp = tp = alloca((num+2)*sizeof(BN_ULONG));
+
+ n0 = *n0p;
+
+ c0 = 0;
+ ml = bp[0];
+#ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ for (j=0;j<num;++j)
+ mul(tp[j],ap[j],ml,mh,c0);
+#else
+ for (j=0;j<num;++j)
+ mul(tp[j],ap[j],ml,c0);
+#endif
+
+ tp[num] = c0;
+ tp[num+1] = 0;
+ goto enter;
+
+ for(i=0;i<num;i++)
+ {
+ c0 = 0;
+ ml = bp[i];
+#ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ for (j=0;j<num;++j)
+ mul_add(tp[j],ap[j],ml,mh,c0);
+#else
+ for (j=0;j<num;++j)
+ mul_add(tp[j],ap[j],ml,c0);
+#endif
+ c1 = (tp[num] + c0)&BN_MASK2;
+ tp[num] = c1;
+ tp[num+1] = (c1<c0?1:0);
+ enter:
+ c1 = tp[0];
+ ml = (c1*n0)&BN_MASK2;
+ c0 = 0;
+#ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ mul_add(c1,np[0],ml,mh,c0);
+#else
+ mul_add(c1,ml,np[0],c0);
+#endif
+ for(j=1;j<num;j++)
+ {
+ c1 = tp[j];
+#ifdef mul64
+ mul_add(c1,np[j],ml,mh,c0);
+#else
+ mul_add(c1,ml,np[j],c0);
+#endif
+ tp[j-1] = c1&BN_MASK2;
+ }
+ c1 = (tp[num] + c0)&BN_MASK2;
+ tp[num-1] = c1;
+ tp[num] = tp[num+1] + (c1<c0?1:0);
+ }
+
+ if (tp[num]!=0 || tp[num-1]>=np[num-1])
+ {
+ c0 = bn_sub_words(rp,tp,np,num);
+ if (tp[num]!=0 || c0==0)
+ {
+ for(i=0;i<num+2;i++) vp[i] = 0;
+ return 1;
+ }
+ }
+ for(i=0;i<num;i++) rp[i] = tp[i], vp[i] = 0;
+ vp[num] = 0;
+ vp[num+1] = 0;
+ return 1;
+ }
+#else
+/*
+ * Return value of 0 indicates that multiplication/convolution was not
+ * performed to signal the caller to fall down to alternative/original
+ * code-path.
+ */
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num)
+{ return 0; }
+#endif /* OPENSSL_BN_ASM_MONT */
+#endif
+
+#else /* !BN_MUL_COMBA */
+
+/* hmm... is it faster just to do a multiply? */
+#undef bn_sqr_comba4
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
+ {
+ BN_ULONG t[8];
+ bn_sqr_normal(r,a,4,t);
+ }
+
+#undef bn_sqr_comba8
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
+ {
+ BN_ULONG t[16];
+ bn_sqr_normal(r,a,8,t);
+ }
+
+void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+ r[4]=bn_mul_words( &(r[0]),a,4,b[0]);
+ r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]);
+ r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]);
+ r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]);
+ }
+
+void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
+ {
+ r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
+ r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
+ r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
+ r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
+ r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
+ r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
+ r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
+ r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
+ }
+
+#ifdef OPENSSL_NO_ASM
+#ifdef OPENSSL_BN_ASM_MONT
+#include <alloca.h>
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0p, int num)
+ {
+ BN_ULONG c0,c1,*tp,n0=*n0p;
+ volatile BN_ULONG *vp;
+ int i=0,j;
+
+ vp = tp = alloca((num+2)*sizeof(BN_ULONG));
+
+ for(i=0;i<=num;i++) tp[i]=0;
+
+ for(i=0;i<num;i++)
+ {
+ c0 = bn_mul_add_words(tp,ap,num,bp[i]);
+ c1 = (tp[num] + c0)&BN_MASK2;
+ tp[num] = c1;
+ tp[num+1] = (c1<c0?1:0);
+
+ c0 = bn_mul_add_words(tp,np,num,tp[0]*n0);
+ c1 = (tp[num] + c0)&BN_MASK2;
+ tp[num] = c1;
+ tp[num+1] += (c1<c0?1:0);
+ for(j=0;j<=num;j++) tp[j]=tp[j+1];
+ }
+
+ if (tp[num]!=0 || tp[num-1]>=np[num-1])
+ {
+ c0 = bn_sub_words(rp,tp,np,num);
+ if (tp[num]!=0 || c0==0)
+ {
+ for(i=0;i<num+2;i++) vp[i] = 0;
+ return 1;
+ }
+ }
+ for(i=0;i<num;i++) rp[i] = tp[i], vp[i] = 0;
+ vp[num] = 0;
+ vp[num+1] = 0;
+ return 1;
+ }
+#else
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num)
+{ return 0; }
+#endif /* OPENSSL_BN_ASM_MONT */
+#endif
+
+#endif /* !BN_MUL_COMBA */
diff --git a/openssl/crypto/bn/bn_blind.c b/openssl/crypto/bn/bn_blind.c
new file mode 100644
index 00000000..e060592f
--- /dev/null
+++ b/openssl/crypto/bn/bn_blind.c
@@ -0,0 +1,376 @@
+/* crypto/bn/bn_blind.c */
+/* ====================================================================
+ * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+#define BN_BLINDING_COUNTER 32
+
+struct bn_blinding_st
+ {
+ BIGNUM *A;
+ BIGNUM *Ai;
+ BIGNUM *e;
+ BIGNUM *mod; /* just a reference */
+#ifndef OPENSSL_NO_DEPRECATED
+ unsigned long thread_id; /* added in OpenSSL 0.9.6j and 0.9.7b;
+ * used only by crypto/rsa/rsa_eay.c, rsa_lib.c */
+#endif
+ CRYPTO_THREADID tid;
+ unsigned int counter;
+ unsigned long flags;
+ BN_MONT_CTX *m_ctx;
+ int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx,
+ BN_MONT_CTX *m_ctx);
+ };
+
+BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod)
+ {
+ BN_BLINDING *ret=NULL;
+
+ bn_check_top(mod);
+
+ if ((ret=(BN_BLINDING *)OPENSSL_malloc(sizeof(BN_BLINDING))) == NULL)
+ {
+ BNerr(BN_F_BN_BLINDING_NEW,ERR_R_MALLOC_FAILURE);
+ return(NULL);
+ }
+ memset(ret,0,sizeof(BN_BLINDING));
+ if (A != NULL)
+ {
+ if ((ret->A = BN_dup(A)) == NULL) goto err;
+ }
+ if (Ai != NULL)
+ {
+ if ((ret->Ai = BN_dup(Ai)) == NULL) goto err;
+ }
+
+ /* save a copy of mod in the BN_BLINDING structure */
+ if ((ret->mod = BN_dup(mod)) == NULL) goto err;
+ if (BN_get_flags(mod, BN_FLG_CONSTTIME) != 0)
+ BN_set_flags(ret->mod, BN_FLG_CONSTTIME);
+
+ ret->counter = BN_BLINDING_COUNTER;
+ CRYPTO_THREADID_current(&ret->tid);
+ return(ret);
+err:
+ if (ret != NULL) BN_BLINDING_free(ret);
+ return(NULL);
+ }
+
+void BN_BLINDING_free(BN_BLINDING *r)
+ {
+ if(r == NULL)
+ return;
+
+ if (r->A != NULL) BN_free(r->A );
+ if (r->Ai != NULL) BN_free(r->Ai);
+ if (r->e != NULL) BN_free(r->e );
+ if (r->mod != NULL) BN_free(r->mod);
+ OPENSSL_free(r);
+ }
+
+int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx)
+ {
+ int ret=0;
+
+ if ((b->A == NULL) || (b->Ai == NULL))
+ {
+ BNerr(BN_F_BN_BLINDING_UPDATE,BN_R_NOT_INITIALIZED);
+ goto err;
+ }
+
+ if (--(b->counter) == 0 && b->e != NULL &&
+ !(b->flags & BN_BLINDING_NO_RECREATE))
+ {
+ /* re-create blinding parameters */
+ if (!BN_BLINDING_create_param(b, NULL, NULL, ctx, NULL, NULL))
+ goto err;
+ }
+ else if (!(b->flags & BN_BLINDING_NO_UPDATE))
+ {
+ if (!BN_mod_mul(b->A,b->A,b->A,b->mod,ctx)) goto err;
+ if (!BN_mod_mul(b->Ai,b->Ai,b->Ai,b->mod,ctx)) goto err;
+ }
+
+ ret=1;
+err:
+ if (b->counter == 0)
+ b->counter = BN_BLINDING_COUNTER;
+ return(ret);
+ }
+
+int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx)
+ {
+ return BN_BLINDING_convert_ex(n, NULL, b, ctx);
+ }
+
+int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx)
+ {
+ int ret = 1;
+
+ bn_check_top(n);
+
+ if ((b->A == NULL) || (b->Ai == NULL))
+ {
+ BNerr(BN_F_BN_BLINDING_CONVERT_EX,BN_R_NOT_INITIALIZED);
+ return(0);
+ }
+
+ if (r != NULL)
+ {
+ if (!BN_copy(r, b->Ai)) ret=0;
+ }
+
+ if (!BN_mod_mul(n,n,b->A,b->mod,ctx)) ret=0;
+
+ return ret;
+ }
+
+int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx)
+ {
+ return BN_BLINDING_invert_ex(n, NULL, b, ctx);
+ }
+
+int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx)
+ {
+ int ret;
+
+ bn_check_top(n);
+ if ((b->A == NULL) || (b->Ai == NULL))
+ {
+ BNerr(BN_F_BN_BLINDING_INVERT_EX,BN_R_NOT_INITIALIZED);
+ return(0);
+ }
+
+ if (r != NULL)
+ ret = BN_mod_mul(n, n, r, b->mod, ctx);
+ else
+ ret = BN_mod_mul(n, n, b->Ai, b->mod, ctx);
+
+ if (ret >= 0)
+ {
+ if (!BN_BLINDING_update(b,ctx))
+ return(0);
+ }
+ bn_check_top(n);
+ return(ret);
+ }
+
+#ifndef OPENSSL_NO_DEPRECATED
+unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *b)
+ {
+ return b->thread_id;
+ }
+
+void BN_BLINDING_set_thread_id(BN_BLINDING *b, unsigned long n)
+ {
+ b->thread_id = n;
+ }
+#endif
+
+CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *b)
+ {
+ return &b->tid;
+ }
+
+unsigned long BN_BLINDING_get_flags(const BN_BLINDING *b)
+ {
+ return b->flags;
+ }
+
+void BN_BLINDING_set_flags(BN_BLINDING *b, unsigned long flags)
+ {
+ b->flags = flags;
+ }
+
+BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
+ const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
+ int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
+ BN_MONT_CTX *m_ctx)
+{
+ int retry_counter = 32;
+ BN_BLINDING *ret = NULL;
+
+ if (b == NULL)
+ ret = BN_BLINDING_new(NULL, NULL, m);
+ else
+ ret = b;
+
+ if (ret == NULL)
+ goto err;
+
+ if (ret->A == NULL && (ret->A = BN_new()) == NULL)
+ goto err;
+ if (ret->Ai == NULL && (ret->Ai = BN_new()) == NULL)
+ goto err;
+
+ if (e != NULL)
+ {
+ if (ret->e != NULL)
+ BN_free(ret->e);
+ ret->e = BN_dup(e);
+ }
+ if (ret->e == NULL)
+ goto err;
+
+ if (bn_mod_exp != NULL)
+ ret->bn_mod_exp = bn_mod_exp;
+ if (m_ctx != NULL)
+ ret->m_ctx = m_ctx;
+
+ do {
+ if (!BN_rand_range(ret->A, ret->mod)) goto err;
+ if (BN_mod_inverse(ret->Ai, ret->A, ret->mod, ctx) == NULL)
+ {
+ /* this should almost never happen for good RSA keys */
+ unsigned long error = ERR_peek_last_error();
+ if (ERR_GET_REASON(error) == BN_R_NO_INVERSE)
+ {
+ if (retry_counter-- == 0)
+ {
+ BNerr(BN_F_BN_BLINDING_CREATE_PARAM,
+ BN_R_TOO_MANY_ITERATIONS);
+ goto err;
+ }
+ ERR_clear_error();
+ }
+ else
+ goto err;
+ }
+ else
+ break;
+ } while (1);
+
+ if (ret->bn_mod_exp != NULL && ret->m_ctx != NULL)
+ {
+ if (!ret->bn_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx, ret->m_ctx))
+ goto err;
+ }
+ else
+ {
+ if (!BN_mod_exp(ret->A, ret->A, ret->e, ret->mod, ctx))
+ goto err;
+ }
+
+ return ret;
+err:
+ if (b == NULL && ret != NULL)
+ {
+ BN_BLINDING_free(ret);
+ ret = NULL;
+ }
+
+ return ret;
+}
diff --git a/openssl/crypto/bn/bn_const.c b/openssl/crypto/bn/bn_const.c
new file mode 100755
index 00000000..eb60a25b
--- /dev/null
+++ b/openssl/crypto/bn/bn_const.c
@@ -0,0 +1,402 @@
+/* crypto/bn/knownprimes.c */
+/* Insert boilerplate */
+
+#include "bn.h"
+
+/* "First Oakley Default Group" from RFC2409, section 6.1.
+ *
+ * The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
+ *
+ * RFC2409 specifies a generator of 2.
+ * RFC2412 specifies a generator of of 22.
+ */
+
+BIGNUM *get_rfc2409_prime_768(BIGNUM *bn)
+ {
+ static const unsigned char RFC2409_PRIME_768[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x3A,0x36,0x20,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC2409_PRIME_768,sizeof(RFC2409_PRIME_768),bn);
+ }
+
+/* "Second Oakley Default Group" from RFC2409, section 6.2.
+ *
+ * The prime is: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
+ *
+ * RFC2409 specifies a generator of 2.
+ * RFC2412 specifies a generator of 22.
+ */
+
+BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn)
+ {
+ static const unsigned char RFC2409_PRIME_1024[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE6,0x53,0x81,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC2409_PRIME_1024,sizeof(RFC2409_PRIME_1024),bn);
+ }
+
+/* "1536-bit MODP Group" from RFC3526, Section 2.
+ *
+ * The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
+ *
+ * RFC3526 specifies a generator of 2.
+ * RFC2312 specifies a generator of 22.
+ */
+
+BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_1536[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x23,0x73,0x27,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_1536,sizeof(RFC3526_PRIME_1536),bn);
+ }
+
+/* "2048-bit MODP Group" from RFC3526, Section 3.
+ *
+ * The prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+
+BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_2048[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
+ 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
+ 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
+ 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
+ 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
+ 0x15,0x72,0x8E,0x5A,0x8A,0xAC,0xAA,0x68,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_2048,sizeof(RFC3526_PRIME_2048),bn);
+ }
+
+/* "3072-bit MODP Group" from RFC3526, Section 4.
+ *
+ * The prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+
+BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_3072[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
+ 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
+ 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
+ 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
+ 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
+ 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
+ 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
+ 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
+ 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
+ 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
+ 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
+ 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
+ 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
+ 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
+ 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
+ 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
+ 0xA9,0x3A,0xD2,0xCA,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_3072,sizeof(RFC3526_PRIME_3072),bn);
+ }
+
+/* "4096-bit MODP Group" from RFC3526, Section 5.
+ *
+ * The prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+
+BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_4096[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
+ 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
+ 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
+ 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
+ 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
+ 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
+ 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
+ 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
+ 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
+ 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
+ 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
+ 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
+ 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
+ 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
+ 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
+ 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
+ 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
+ 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
+ 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
+ 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
+ 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
+ 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
+ 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
+ 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
+ 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
+ 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
+ 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x06,0x31,0x99,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_4096,sizeof(RFC3526_PRIME_4096),bn);
+ }
+
+/* "6144-bit MODP Group" from RFC3526, Section 6.
+ *
+ * The prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+
+BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_6144[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
+ 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
+ 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
+ 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
+ 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
+ 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
+ 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
+ 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
+ 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
+ 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
+ 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
+ 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
+ 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
+ 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
+ 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
+ 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
+ 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
+ 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
+ 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
+ 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
+ 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
+ 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
+ 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
+ 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
+ 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
+ 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
+ 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92,
+ 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2,
+ 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD,
+ 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F,
+ 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31,
+ 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB,
+ 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B,
+ 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51,
+ 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF,
+ 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15,
+ 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6,
+ 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31,
+ 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3,
+ 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7,
+ 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA,
+ 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2,
+ 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28,
+ 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D,
+ 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C,
+ 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7,
+ 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE,
+ 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E,
+ 0x6D,0xCC,0x40,0x24,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_6144,sizeof(RFC3526_PRIME_6144),bn);
+ }
+
+/* "8192-bit MODP Group" from RFC3526, Section 7.
+ *
+ * The prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
+ *
+ * RFC3526 specifies a generator of 2.
+ */
+
+BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn)
+ {
+ static const unsigned char RFC3526_PRIME_8192[]={
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xC9,0x0F,0xDA,0xA2,
+ 0x21,0x68,0xC2,0x34,0xC4,0xC6,0x62,0x8B,0x80,0xDC,0x1C,0xD1,
+ 0x29,0x02,0x4E,0x08,0x8A,0x67,0xCC,0x74,0x02,0x0B,0xBE,0xA6,
+ 0x3B,0x13,0x9B,0x22,0x51,0x4A,0x08,0x79,0x8E,0x34,0x04,0xDD,
+ 0xEF,0x95,0x19,0xB3,0xCD,0x3A,0x43,0x1B,0x30,0x2B,0x0A,0x6D,
+ 0xF2,0x5F,0x14,0x37,0x4F,0xE1,0x35,0x6D,0x6D,0x51,0xC2,0x45,
+ 0xE4,0x85,0xB5,0x76,0x62,0x5E,0x7E,0xC6,0xF4,0x4C,0x42,0xE9,
+ 0xA6,0x37,0xED,0x6B,0x0B,0xFF,0x5C,0xB6,0xF4,0x06,0xB7,0xED,
+ 0xEE,0x38,0x6B,0xFB,0x5A,0x89,0x9F,0xA5,0xAE,0x9F,0x24,0x11,
+ 0x7C,0x4B,0x1F,0xE6,0x49,0x28,0x66,0x51,0xEC,0xE4,0x5B,0x3D,
+ 0xC2,0x00,0x7C,0xB8,0xA1,0x63,0xBF,0x05,0x98,0xDA,0x48,0x36,
+ 0x1C,0x55,0xD3,0x9A,0x69,0x16,0x3F,0xA8,0xFD,0x24,0xCF,0x5F,
+ 0x83,0x65,0x5D,0x23,0xDC,0xA3,0xAD,0x96,0x1C,0x62,0xF3,0x56,
+ 0x20,0x85,0x52,0xBB,0x9E,0xD5,0x29,0x07,0x70,0x96,0x96,0x6D,
+ 0x67,0x0C,0x35,0x4E,0x4A,0xBC,0x98,0x04,0xF1,0x74,0x6C,0x08,
+ 0xCA,0x18,0x21,0x7C,0x32,0x90,0x5E,0x46,0x2E,0x36,0xCE,0x3B,
+ 0xE3,0x9E,0x77,0x2C,0x18,0x0E,0x86,0x03,0x9B,0x27,0x83,0xA2,
+ 0xEC,0x07,0xA2,0x8F,0xB5,0xC5,0x5D,0xF0,0x6F,0x4C,0x52,0xC9,
+ 0xDE,0x2B,0xCB,0xF6,0x95,0x58,0x17,0x18,0x39,0x95,0x49,0x7C,
+ 0xEA,0x95,0x6A,0xE5,0x15,0xD2,0x26,0x18,0x98,0xFA,0x05,0x10,
+ 0x15,0x72,0x8E,0x5A,0x8A,0xAA,0xC4,0x2D,0xAD,0x33,0x17,0x0D,
+ 0x04,0x50,0x7A,0x33,0xA8,0x55,0x21,0xAB,0xDF,0x1C,0xBA,0x64,
+ 0xEC,0xFB,0x85,0x04,0x58,0xDB,0xEF,0x0A,0x8A,0xEA,0x71,0x57,
+ 0x5D,0x06,0x0C,0x7D,0xB3,0x97,0x0F,0x85,0xA6,0xE1,0xE4,0xC7,
+ 0xAB,0xF5,0xAE,0x8C,0xDB,0x09,0x33,0xD7,0x1E,0x8C,0x94,0xE0,
+ 0x4A,0x25,0x61,0x9D,0xCE,0xE3,0xD2,0x26,0x1A,0xD2,0xEE,0x6B,
+ 0xF1,0x2F,0xFA,0x06,0xD9,0x8A,0x08,0x64,0xD8,0x76,0x02,0x73,
+ 0x3E,0xC8,0x6A,0x64,0x52,0x1F,0x2B,0x18,0x17,0x7B,0x20,0x0C,
+ 0xBB,0xE1,0x17,0x57,0x7A,0x61,0x5D,0x6C,0x77,0x09,0x88,0xC0,
+ 0xBA,0xD9,0x46,0xE2,0x08,0xE2,0x4F,0xA0,0x74,0xE5,0xAB,0x31,
+ 0x43,0xDB,0x5B,0xFC,0xE0,0xFD,0x10,0x8E,0x4B,0x82,0xD1,0x20,
+ 0xA9,0x21,0x08,0x01,0x1A,0x72,0x3C,0x12,0xA7,0x87,0xE6,0xD7,
+ 0x88,0x71,0x9A,0x10,0xBD,0xBA,0x5B,0x26,0x99,0xC3,0x27,0x18,
+ 0x6A,0xF4,0xE2,0x3C,0x1A,0x94,0x68,0x34,0xB6,0x15,0x0B,0xDA,
+ 0x25,0x83,0xE9,0xCA,0x2A,0xD4,0x4C,0xE8,0xDB,0xBB,0xC2,0xDB,
+ 0x04,0xDE,0x8E,0xF9,0x2E,0x8E,0xFC,0x14,0x1F,0xBE,0xCA,0xA6,
+ 0x28,0x7C,0x59,0x47,0x4E,0x6B,0xC0,0x5D,0x99,0xB2,0x96,0x4F,
+ 0xA0,0x90,0xC3,0xA2,0x23,0x3B,0xA1,0x86,0x51,0x5B,0xE7,0xED,
+ 0x1F,0x61,0x29,0x70,0xCE,0xE2,0xD7,0xAF,0xB8,0x1B,0xDD,0x76,
+ 0x21,0x70,0x48,0x1C,0xD0,0x06,0x91,0x27,0xD5,0xB0,0x5A,0xA9,
+ 0x93,0xB4,0xEA,0x98,0x8D,0x8F,0xDD,0xC1,0x86,0xFF,0xB7,0xDC,
+ 0x90,0xA6,0xC0,0x8F,0x4D,0xF4,0x35,0xC9,0x34,0x02,0x84,0x92,
+ 0x36,0xC3,0xFA,0xB4,0xD2,0x7C,0x70,0x26,0xC1,0xD4,0xDC,0xB2,
+ 0x60,0x26,0x46,0xDE,0xC9,0x75,0x1E,0x76,0x3D,0xBA,0x37,0xBD,
+ 0xF8,0xFF,0x94,0x06,0xAD,0x9E,0x53,0x0E,0xE5,0xDB,0x38,0x2F,
+ 0x41,0x30,0x01,0xAE,0xB0,0x6A,0x53,0xED,0x90,0x27,0xD8,0x31,
+ 0x17,0x97,0x27,0xB0,0x86,0x5A,0x89,0x18,0xDA,0x3E,0xDB,0xEB,
+ 0xCF,0x9B,0x14,0xED,0x44,0xCE,0x6C,0xBA,0xCE,0xD4,0xBB,0x1B,
+ 0xDB,0x7F,0x14,0x47,0xE6,0xCC,0x25,0x4B,0x33,0x20,0x51,0x51,
+ 0x2B,0xD7,0xAF,0x42,0x6F,0xB8,0xF4,0x01,0x37,0x8C,0xD2,0xBF,
+ 0x59,0x83,0xCA,0x01,0xC6,0x4B,0x92,0xEC,0xF0,0x32,0xEA,0x15,
+ 0xD1,0x72,0x1D,0x03,0xF4,0x82,0xD7,0xCE,0x6E,0x74,0xFE,0xF6,
+ 0xD5,0x5E,0x70,0x2F,0x46,0x98,0x0C,0x82,0xB5,0xA8,0x40,0x31,
+ 0x90,0x0B,0x1C,0x9E,0x59,0xE7,0xC9,0x7F,0xBE,0xC7,0xE8,0xF3,
+ 0x23,0xA9,0x7A,0x7E,0x36,0xCC,0x88,0xBE,0x0F,0x1D,0x45,0xB7,
+ 0xFF,0x58,0x5A,0xC5,0x4B,0xD4,0x07,0xB2,0x2B,0x41,0x54,0xAA,
+ 0xCC,0x8F,0x6D,0x7E,0xBF,0x48,0xE1,0xD8,0x14,0xCC,0x5E,0xD2,
+ 0x0F,0x80,0x37,0xE0,0xA7,0x97,0x15,0xEE,0xF2,0x9B,0xE3,0x28,
+ 0x06,0xA1,0xD5,0x8B,0xB7,0xC5,0xDA,0x76,0xF5,0x50,0xAA,0x3D,
+ 0x8A,0x1F,0xBF,0xF0,0xEB,0x19,0xCC,0xB1,0xA3,0x13,0xD5,0x5C,
+ 0xDA,0x56,0xC9,0xEC,0x2E,0xF2,0x96,0x32,0x38,0x7F,0xE8,0xD7,
+ 0x6E,0x3C,0x04,0x68,0x04,0x3E,0x8F,0x66,0x3F,0x48,0x60,0xEE,
+ 0x12,0xBF,0x2D,0x5B,0x0B,0x74,0x74,0xD6,0xE6,0x94,0xF9,0x1E,
+ 0x6D,0xBE,0x11,0x59,0x74,0xA3,0x92,0x6F,0x12,0xFE,0xE5,0xE4,
+ 0x38,0x77,0x7C,0xB6,0xA9,0x32,0xDF,0x8C,0xD8,0xBE,0xC4,0xD0,
+ 0x73,0xB9,0x31,0xBA,0x3B,0xC8,0x32,0xB6,0x8D,0x9D,0xD3,0x00,
+ 0x74,0x1F,0xA7,0xBF,0x8A,0xFC,0x47,0xED,0x25,0x76,0xF6,0x93,
+ 0x6B,0xA4,0x24,0x66,0x3A,0xAB,0x63,0x9C,0x5A,0xE4,0xF5,0x68,
+ 0x34,0x23,0xB4,0x74,0x2B,0xF1,0xC9,0x78,0x23,0x8F,0x16,0xCB,
+ 0xE3,0x9D,0x65,0x2D,0xE3,0xFD,0xB8,0xBE,0xFC,0x84,0x8A,0xD9,
+ 0x22,0x22,0x2E,0x04,0xA4,0x03,0x7C,0x07,0x13,0xEB,0x57,0xA8,
+ 0x1A,0x23,0xF0,0xC7,0x34,0x73,0xFC,0x64,0x6C,0xEA,0x30,0x6B,
+ 0x4B,0xCB,0xC8,0x86,0x2F,0x83,0x85,0xDD,0xFA,0x9D,0x4B,0x7F,
+ 0xA2,0xC0,0x87,0xE8,0x79,0x68,0x33,0x03,0xED,0x5B,0xDD,0x3A,
+ 0x06,0x2B,0x3C,0xF5,0xB3,0xA2,0x78,0xA6,0x6D,0x2A,0x13,0xF8,
+ 0x3F,0x44,0xF8,0x2D,0xDF,0x31,0x0E,0xE0,0x74,0xAB,0x6A,0x36,
+ 0x45,0x97,0xE8,0x99,0xA0,0x25,0x5D,0xC1,0x64,0xF3,0x1C,0xC5,
+ 0x08,0x46,0x85,0x1D,0xF9,0xAB,0x48,0x19,0x5D,0xED,0x7E,0xA1,
+ 0xB1,0xD5,0x10,0xBD,0x7E,0xE7,0x4D,0x73,0xFA,0xF3,0x6B,0xC3,
+ 0x1E,0xCF,0xA2,0x68,0x35,0x90,0x46,0xF4,0xEB,0x87,0x9F,0x92,
+ 0x40,0x09,0x43,0x8B,0x48,0x1C,0x6C,0xD7,0x88,0x9A,0x00,0x2E,
+ 0xD5,0xEE,0x38,0x2B,0xC9,0x19,0x0D,0xA6,0xFC,0x02,0x6E,0x47,
+ 0x95,0x58,0xE4,0x47,0x56,0x77,0xE9,0xAA,0x9E,0x30,0x50,0xE2,
+ 0x76,0x56,0x94,0xDF,0xC8,0x1F,0x56,0xE8,0x80,0xB9,0x6E,0x71,
+ 0x60,0xC9,0x80,0xDD,0x98,0xED,0xD3,0xDF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,
+ };
+ return BN_bin2bn(RFC3526_PRIME_8192,sizeof(RFC3526_PRIME_8192),bn);
+ }
+
diff --git a/openssl/crypto/bn/bn_ctx.c b/openssl/crypto/bn/bn_ctx.c
new file mode 100644
index 00000000..3f2256f6
--- /dev/null
+++ b/openssl/crypto/bn/bn_ctx.c
@@ -0,0 +1,454 @@
+/* crypto/bn/bn_ctx.c */
+/* Written by Ulf Moeller for the OpenSSL project. */
+/* ====================================================================
+ * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#if !defined(BN_CTX_DEBUG) && !defined(BN_DEBUG)
+#ifndef NDEBUG
+#define NDEBUG
+#endif
+#endif
+
+#include <stdio.h>
+#include <assert.h>
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* TODO list
+ *
+ * 1. Check a bunch of "(words+1)" type hacks in various bignum functions and
+ * check they can be safely removed.
+ * - Check +1 and other ugliness in BN_from_montgomery()
+ *
+ * 2. Consider allowing a BN_new_ex() that, at least, lets you specify an
+ * appropriate 'block' size that will be honoured by bn_expand_internal() to
+ * prevent piddly little reallocations. OTOH, profiling bignum expansions in
+ * BN_CTX doesn't show this to be a big issue.
+ */
+
+/* How many bignums are in each "pool item"; */
+#define BN_CTX_POOL_SIZE 16
+/* The stack frame info is resizing, set a first-time expansion size; */
+#define BN_CTX_START_FRAMES 32
+
+/***********/
+/* BN_POOL */
+/***********/
+
+/* A bundle of bignums that can be linked with other bundles */
+typedef struct bignum_pool_item
+ {
+ /* The bignum values */
+ BIGNUM vals[BN_CTX_POOL_SIZE];
+ /* Linked-list admin */
+ struct bignum_pool_item *prev, *next;
+ } BN_POOL_ITEM;
+/* A linked-list of bignums grouped in bundles */
+typedef struct bignum_pool
+ {
+ /* Linked-list admin */
+ BN_POOL_ITEM *head, *current, *tail;
+ /* Stack depth and allocation size */
+ unsigned used, size;
+ } BN_POOL;
+static void BN_POOL_init(BN_POOL *);
+static void BN_POOL_finish(BN_POOL *);
+#ifndef OPENSSL_NO_DEPRECATED
+static void BN_POOL_reset(BN_POOL *);
+#endif
+static BIGNUM * BN_POOL_get(BN_POOL *);
+static void BN_POOL_release(BN_POOL *, unsigned int);
+
+/************/
+/* BN_STACK */
+/************/
+
+/* A wrapper to manage the "stack frames" */
+typedef struct bignum_ctx_stack
+ {
+ /* Array of indexes into the bignum stack */
+ unsigned int *indexes;
+ /* Number of stack frames, and the size of the allocated array */
+ unsigned int depth, size;
+ } BN_STACK;
+static void BN_STACK_init(BN_STACK *);
+static void BN_STACK_finish(BN_STACK *);
+#ifndef OPENSSL_NO_DEPRECATED
+static void BN_STACK_reset(BN_STACK *);
+#endif
+static int BN_STACK_push(BN_STACK *, unsigned int);
+static unsigned int BN_STACK_pop(BN_STACK *);
+
+/**********/
+/* BN_CTX */
+/**********/
+
+/* The opaque BN_CTX type */
+struct bignum_ctx
+ {
+ /* The bignum bundles */
+ BN_POOL pool;
+ /* The "stack frames", if you will */
+ BN_STACK stack;
+ /* The number of bignums currently assigned */
+ unsigned int used;
+ /* Depth of stack overflow */
+ int err_stack;
+ /* Block "gets" until an "end" (compatibility behaviour) */
+ int too_many;
+ };
+
+/* Enable this to find BN_CTX bugs */
+#ifdef BN_CTX_DEBUG
+static const char *ctxdbg_cur = NULL;
+static void ctxdbg(BN_CTX *ctx)
+ {
+ unsigned int bnidx = 0, fpidx = 0;
+ BN_POOL_ITEM *item = ctx->pool.head;
+ BN_STACK *stack = &ctx->stack;
+ fprintf(stderr,"(%08x): ", (unsigned int)ctx);
+ while(bnidx < ctx->used)
+ {
+ fprintf(stderr,"%03x ", item->vals[bnidx++ % BN_CTX_POOL_SIZE].dmax);
+ if(!(bnidx % BN_CTX_POOL_SIZE))
+ item = item->next;
+ }
+ fprintf(stderr,"\n");
+ bnidx = 0;
+ fprintf(stderr," : ");
+ while(fpidx < stack->depth)
+ {
+ while(bnidx++ < stack->indexes[fpidx])
+ fprintf(stderr," ");
+ fprintf(stderr,"^^^ ");
+ bnidx++;
+ fpidx++;
+ }
+ fprintf(stderr,"\n");
+ }
+#define CTXDBG_ENTRY(str, ctx) do { \
+ ctxdbg_cur = (str); \
+ fprintf(stderr,"Starting %s\n", ctxdbg_cur); \
+ ctxdbg(ctx); \
+ } while(0)
+#define CTXDBG_EXIT(ctx) do { \
+ fprintf(stderr,"Ending %s\n", ctxdbg_cur); \
+ ctxdbg(ctx); \
+ } while(0)
+#define CTXDBG_RET(ctx,ret)
+#else
+#define CTXDBG_ENTRY(str, ctx)
+#define CTXDBG_EXIT(ctx)
+#define CTXDBG_RET(ctx,ret)
+#endif
+
+/* This function is an evil legacy and should not be used. This implementation
+ * is WYSIWYG, though I've done my best. */
+#ifndef OPENSSL_NO_DEPRECATED
+void BN_CTX_init(BN_CTX *ctx)
+ {
+ /* Assume the caller obtained the context via BN_CTX_new() and so is
+ * trying to reset it for use. Nothing else makes sense, least of all
+ * binary compatibility from a time when they could declare a static
+ * variable. */
+ BN_POOL_reset(&ctx->pool);
+ BN_STACK_reset(&ctx->stack);
+ ctx->used = 0;
+ ctx->err_stack = 0;
+ ctx->too_many = 0;
+ }
+#endif
+
+BN_CTX *BN_CTX_new(void)
+ {
+ BN_CTX *ret = OPENSSL_malloc(sizeof(BN_CTX));
+ if(!ret)
+ {
+ BNerr(BN_F_BN_CTX_NEW,ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ /* Initialise the structure */
+ BN_POOL_init(&ret->pool);
+ BN_STACK_init(&ret->stack);
+ ret->used = 0;
+ ret->err_stack = 0;
+ ret->too_many = 0;
+ return ret;
+ }
+
+void BN_CTX_free(BN_CTX *ctx)
+ {
+ if (ctx == NULL)
+ return;
+#ifdef BN_CTX_DEBUG
+ {
+ BN_POOL_ITEM *pool = ctx->pool.head;
+ fprintf(stderr,"BN_CTX_free, stack-size=%d, pool-bignums=%d\n",
+ ctx->stack.size, ctx->pool.size);
+ fprintf(stderr,"dmaxs: ");
+ while(pool) {
+ unsigned loop = 0;
+ while(loop < BN_CTX_POOL_SIZE)
+ fprintf(stderr,"%02x ", pool->vals[loop++].dmax);
+ pool = pool->next;
+ }
+ fprintf(stderr,"\n");
+ }
+#endif
+ BN_STACK_finish(&ctx->stack);
+ BN_POOL_finish(&ctx->pool);
+ OPENSSL_free(ctx);
+ }
+
+void BN_CTX_start(BN_CTX *ctx)
+ {
+ CTXDBG_ENTRY("BN_CTX_start", ctx);
+ /* If we're already overflowing ... */
+ if(ctx->err_stack || ctx->too_many)
+ ctx->err_stack++;
+ /* (Try to) get a new frame pointer */
+ else if(!BN_STACK_push(&ctx->stack, ctx->used))
+ {
+ BNerr(BN_F_BN_CTX_START,BN_R_TOO_MANY_TEMPORARY_VARIABLES);
+ ctx->err_stack++;
+ }
+ CTXDBG_EXIT(ctx);
+ }
+
+void BN_CTX_end(BN_CTX *ctx)
+ {
+ CTXDBG_ENTRY("BN_CTX_end", ctx);
+ if(ctx->err_stack)
+ ctx->err_stack--;
+ else
+ {
+ unsigned int fp = BN_STACK_pop(&ctx->stack);
+ /* Does this stack frame have anything to release? */
+ if(fp < ctx->used)
+ BN_POOL_release(&ctx->pool, ctx->used - fp);
+ ctx->used = fp;
+ /* Unjam "too_many" in case "get" had failed */
+ ctx->too_many = 0;
+ }
+ CTXDBG_EXIT(ctx);
+ }
+
+BIGNUM *BN_CTX_get(BN_CTX *ctx)
+ {
+ BIGNUM *ret;
+ CTXDBG_ENTRY("BN_CTX_get", ctx);
+ if(ctx->err_stack || ctx->too_many) return NULL;
+ if((ret = BN_POOL_get(&ctx->pool)) == NULL)
+ {
+ /* Setting too_many prevents repeated "get" attempts from
+ * cluttering the error stack. */
+ ctx->too_many = 1;
+ BNerr(BN_F_BN_CTX_GET,BN_R_TOO_MANY_TEMPORARY_VARIABLES);
+ return NULL;
+ }
+ /* OK, make sure the returned bignum is "zero" */
+ BN_zero(ret);
+ ctx->used++;
+ CTXDBG_RET(ctx, ret);
+ return ret;
+ }
+
+/************/
+/* BN_STACK */
+/************/
+
+static void BN_STACK_init(BN_STACK *st)
+ {
+ st->indexes = NULL;
+ st->depth = st->size = 0;
+ }
+
+static void BN_STACK_finish(BN_STACK *st)
+ {
+ if(st->size) OPENSSL_free(st->indexes);
+ }
+
+#ifndef OPENSSL_NO_DEPRECATED
+static void BN_STACK_reset(BN_STACK *st)
+ {
+ st->depth = 0;
+ }
+#endif
+
+static int BN_STACK_push(BN_STACK *st, unsigned int idx)
+ {
+ if(st->depth == st->size)
+ /* Need to expand */
+ {
+ unsigned int newsize = (st->size ?
+ (st->size * 3 / 2) : BN_CTX_START_FRAMES);
+ unsigned int *newitems = OPENSSL_malloc(newsize *
+ sizeof(unsigned int));
+ if(!newitems) return 0;
+ if(st->depth)
+ memcpy(newitems, st->indexes, st->depth *
+ sizeof(unsigned int));
+ if(st->size) OPENSSL_free(st->indexes);
+ st->indexes = newitems;
+ st->size = newsize;
+ }
+ st->indexes[(st->depth)++] = idx;
+ return 1;
+ }
+
+static unsigned int BN_STACK_pop(BN_STACK *st)
+ {
+ return st->indexes[--(st->depth)];
+ }
+
+/***********/
+/* BN_POOL */
+/***********/
+
+static void BN_POOL_init(BN_POOL *p)
+ {
+ p->head = p->current = p->tail = NULL;
+ p->used = p->size = 0;
+ }
+
+static void BN_POOL_finish(BN_POOL *p)
+ {
+ while(p->head)
+ {
+ unsigned int loop = 0;
+ BIGNUM *bn = p->head->vals;
+ while(loop++ < BN_CTX_POOL_SIZE)
+ {
+ if(bn->d) BN_clear_free(bn);
+ bn++;
+ }
+ p->current = p->head->next;
+ OPENSSL_free(p->head);
+ p->head = p->current;
+ }
+ }
+
+#ifndef OPENSSL_NO_DEPRECATED
+static void BN_POOL_reset(BN_POOL *p)
+ {
+ BN_POOL_ITEM *item = p->head;
+ while(item)
+ {
+ unsigned int loop = 0;
+ BIGNUM *bn = item->vals;
+ while(loop++ < BN_CTX_POOL_SIZE)
+ {
+ if(bn->d) BN_clear(bn);
+ bn++;
+ }
+ item = item->next;
+ }
+ p->current = p->head;
+ p->used = 0;
+ }
+#endif
+
+static BIGNUM *BN_POOL_get(BN_POOL *p)
+ {
+ if(p->used == p->size)
+ {
+ BIGNUM *bn;
+ unsigned int loop = 0;
+ BN_POOL_ITEM *item = OPENSSL_malloc(sizeof(BN_POOL_ITEM));
+ if(!item) return NULL;
+ /* Initialise the structure */
+ bn = item->vals;
+ while(loop++ < BN_CTX_POOL_SIZE)
+ BN_init(bn++);
+ item->prev = p->tail;
+ item->next = NULL;
+ /* Link it in */
+ if(!p->head)
+ p->head = p->current = p->tail = item;
+ else
+ {
+ p->tail->next = item;
+ p->tail = item;
+ p->current = item;
+ }
+ p->size += BN_CTX_POOL_SIZE;
+ p->used++;
+ /* Return the first bignum from the new pool */
+ return item->vals;
+ }
+ if(!p->used)
+ p->current = p->head;
+ else if((p->used % BN_CTX_POOL_SIZE) == 0)
+ p->current = p->current->next;
+ return p->current->vals + ((p->used++) % BN_CTX_POOL_SIZE);
+ }
+
+static void BN_POOL_release(BN_POOL *p, unsigned int num)
+ {
+ unsigned int offset = (p->used - 1) % BN_CTX_POOL_SIZE;
+ p->used -= num;
+ while(num--)
+ {
+ bn_check_top(p->current->vals + offset);
+ if(!offset)
+ {
+ offset = BN_CTX_POOL_SIZE - 1;
+ p->current = p->current->prev;
+ }
+ else
+ offset--;
+ }
+ }
+
diff --git a/openssl/crypto/bn/bn_depr.c b/openssl/crypto/bn/bn_depr.c
new file mode 100644
index 00000000..27535e4f
--- /dev/null
+++ b/openssl/crypto/bn/bn_depr.c
@@ -0,0 +1,112 @@
+/* crypto/bn/bn_depr.c */
+/* ====================================================================
+ * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+/* Support for deprecated functions goes here - static linkage will only slurp
+ * this code if applications are using them directly. */
+
+#include <stdio.h>
+#include <time.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+#include <openssl/rand.h>
+
+static void *dummy=&dummy;
+
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
+ const BIGNUM *add, const BIGNUM *rem,
+ void (*callback)(int,int,void *), void *cb_arg)
+ {
+ BN_GENCB cb;
+ BIGNUM *rnd=NULL;
+ int found = 0;
+
+ BN_GENCB_set_old(&cb, callback, cb_arg);
+
+ if (ret == NULL)
+ {
+ if ((rnd=BN_new()) == NULL) goto err;
+ }
+ else
+ rnd=ret;
+ if(!BN_generate_prime_ex(rnd, bits, safe, add, rem, &cb))
+ goto err;
+
+ /* we have a prime :-) */
+ found = 1;
+err:
+ if (!found && (ret == NULL) && (rnd != NULL)) BN_free(rnd);
+ return(found ? rnd : NULL);
+ }
+
+int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int,int,void *),
+ BN_CTX *ctx_passed, void *cb_arg)
+ {
+ BN_GENCB cb;
+ BN_GENCB_set_old(&cb, callback, cb_arg);
+ return BN_is_prime_ex(a, checks, ctx_passed, &cb);
+ }
+
+int BN_is_prime_fasttest(const BIGNUM *a, int checks,
+ void (*callback)(int,int,void *),
+ BN_CTX *ctx_passed, void *cb_arg,
+ int do_trial_division)
+ {
+ BN_GENCB cb;
+ BN_GENCB_set_old(&cb, callback, cb_arg);
+ return BN_is_prime_fasttest_ex(a, checks, ctx_passed,
+ do_trial_division, &cb);
+ }
+#endif
diff --git a/openssl/crypto/bn/bn_div.c b/openssl/crypto/bn/bn_div.c
new file mode 100644
index 00000000..802a43d6
--- /dev/null
+++ b/openssl/crypto/bn/bn_div.c
@@ -0,0 +1,650 @@
+/* crypto/bn/bn_div.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include <openssl/bn.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+
+/* The old slow way */
+#if 0
+int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
+ BN_CTX *ctx)
+ {
+ int i,nm,nd;
+ int ret = 0;
+ BIGNUM *D;
+
+ bn_check_top(m);
+ bn_check_top(d);
+ if (BN_is_zero(d))
+ {
+ BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO);
+ return(0);
+ }
+
+ if (BN_ucmp(m,d) < 0)
+ {
+ if (rem != NULL)
+ { if (BN_copy(rem,m) == NULL) return(0); }
+ if (dv != NULL) BN_zero(dv);
+ return(1);
+ }
+
+ BN_CTX_start(ctx);
+ D = BN_CTX_get(ctx);
+ if (dv == NULL) dv = BN_CTX_get(ctx);
+ if (rem == NULL) rem = BN_CTX_get(ctx);
+ if (D == NULL || dv == NULL || rem == NULL)
+ goto end;
+
+ nd=BN_num_bits(d);
+ nm=BN_num_bits(m);
+ if (BN_copy(D,d) == NULL) goto end;
+ if (BN_copy(rem,m) == NULL) goto end;
+
+ /* The next 2 are needed so we can do a dv->d[0]|=1 later
+ * since BN_lshift1 will only work once there is a value :-) */
+ BN_zero(dv);
+ if(bn_wexpand(dv,1) == NULL) goto end;
+ dv->top=1;
+
+ if (!BN_lshift(D,D,nm-nd)) goto end;
+ for (i=nm-nd; i>=0; i--)
+ {
+ if (!BN_lshift1(dv,dv)) goto end;
+ if (BN_ucmp(rem,D) >= 0)
+ {
+ dv->d[0]|=1;
+ if (!BN_usub(rem,rem,D)) goto end;
+ }
+/* CAN IMPROVE (and have now :=) */
+ if (!BN_rshift1(D,D)) goto end;
+ }
+ rem->neg=BN_is_zero(rem)?0:m->neg;
+ dv->neg=m->neg^d->neg;
+ ret = 1;
+ end:
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+#else
+
+#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \
+ && !defined(PEDANTIC) && !defined(BN_DIV3W)
+# if defined(__GNUC__) && __GNUC__>=2
+# if defined(__i386) || defined (__i386__)
+ /*
+ * There were two reasons for implementing this template:
+ * - GNU C generates a call to a function (__udivdi3 to be exact)
+ * in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to
+ * understand why...);
+ * - divl doesn't only calculate quotient, but also leaves
+ * remainder in %edx which we can definitely use here:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+# define bn_div_words(n0,n1,d0) \
+ ({ asm volatile ( \
+ "divl %4" \
+ : "=a"(q), "=d"(rem) \
+ : "a"(n1), "d"(n0), "g"(d0) \
+ : "cc"); \
+ q; \
+ })
+# define REMAINDER_IS_ALREADY_CALCULATED
+# elif defined(__x86_64) && defined(SIXTY_FOUR_BIT_LONG)
+ /*
+ * Same story here, but it's 128-bit by 64-bit division. Wow!
+ * <appro@fy.chalmers.se>
+ */
+# define bn_div_words(n0,n1,d0) \
+ ({ asm volatile ( \
+ "divq %4" \
+ : "=a"(q), "=d"(rem) \
+ : "a"(n1), "d"(n0), "g"(d0) \
+ : "cc"); \
+ q; \
+ })
+# define REMAINDER_IS_ALREADY_CALCULATED
+# endif /* __<cpu> */
+# endif /* __GNUC__ */
+#endif /* OPENSSL_NO_ASM */
+
+
+/* BN_div[_no_branch] computes dv := num / divisor, rounding towards
+ * zero, and sets up rm such that dv*divisor + rm = num holds.
+ * Thus:
+ * dv->neg == num->neg ^ divisor->neg (unless the result is zero)
+ * rm->neg == num->neg (unless the remainder is zero)
+ * If 'dv' or 'rm' is NULL, the respective value is not returned.
+ */
+static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
+ const BIGNUM *divisor, BN_CTX *ctx);
+int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
+ BN_CTX *ctx)
+ {
+ int norm_shift,i,loop;
+ BIGNUM *tmp,wnum,*snum,*sdiv,*res;
+ BN_ULONG *resp,*wnump;
+ BN_ULONG d0,d1;
+ int num_n,div_n;
+
+ /* Invalid zero-padding would have particularly bad consequences
+ * in the case of 'num', so don't just rely on bn_check_top() for this one
+ * (bn_check_top() works only for BN_DEBUG builds) */
+ if (num->top > 0 && num->d[num->top - 1] == 0)
+ {
+ BNerr(BN_F_BN_DIV,BN_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ bn_check_top(num);
+
+ if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0))
+ {
+ return BN_div_no_branch(dv, rm, num, divisor, ctx);
+ }
+
+ bn_check_top(dv);
+ bn_check_top(rm);
+ /* bn_check_top(num); */ /* 'num' has been checked already */
+ bn_check_top(divisor);
+
+ if (BN_is_zero(divisor))
+ {
+ BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO);
+ return(0);
+ }
+
+ if (BN_ucmp(num,divisor) < 0)
+ {
+ if (rm != NULL)
+ { if (BN_copy(rm,num) == NULL) return(0); }
+ if (dv != NULL) BN_zero(dv);
+ return(1);
+ }
+
+ BN_CTX_start(ctx);
+ tmp=BN_CTX_get(ctx);
+ snum=BN_CTX_get(ctx);
+ sdiv=BN_CTX_get(ctx);
+ if (dv == NULL)
+ res=BN_CTX_get(ctx);
+ else res=dv;
+ if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL)
+ goto err;
+
+ /* First we normalise the numbers */
+ norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2);
+ if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err;
+ sdiv->neg=0;
+ norm_shift+=BN_BITS2;
+ if (!(BN_lshift(snum,num,norm_shift))) goto err;
+ snum->neg=0;
+ div_n=sdiv->top;
+ num_n=snum->top;
+ loop=num_n-div_n;
+ /* Lets setup a 'window' into snum
+ * This is the part that corresponds to the current
+ * 'area' being divided */
+ wnum.neg = 0;
+ wnum.d = &(snum->d[loop]);
+ wnum.top = div_n;
+ /* only needed when BN_ucmp messes up the values between top and max */
+ wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
+
+ /* Get the top 2 words of sdiv */
+ /* div_n=sdiv->top; */
+ d0=sdiv->d[div_n-1];
+ d1=(div_n == 1)?0:sdiv->d[div_n-2];
+
+ /* pointer to the 'top' of snum */
+ wnump= &(snum->d[num_n-1]);
+
+ /* Setup to 'res' */
+ res->neg= (num->neg^divisor->neg);
+ if (!bn_wexpand(res,(loop+1))) goto err;
+ res->top=loop;
+ resp= &(res->d[loop-1]);
+
+ /* space for temp */
+ if (!bn_wexpand(tmp,(div_n+1))) goto err;
+
+ if (BN_ucmp(&wnum,sdiv) >= 0)
+ {
+ /* If BN_DEBUG_RAND is defined BN_ucmp changes (via
+ * bn_pollute) the const bignum arguments =>
+ * clean the values between top and max again */
+ bn_clear_top2max(&wnum);
+ bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n);
+ *resp=1;
+ }
+ else
+ res->top--;
+ /* if res->top == 0 then clear the neg value otherwise decrease
+ * the resp pointer */
+ if (res->top == 0)
+ res->neg = 0;
+ else
+ resp--;
+
+ for (i=0; i<loop-1; i++, wnump--, resp--)
+ {
+ BN_ULONG q,l0;
+ /* the first part of the loop uses the top two words of
+ * snum and sdiv to calculate a BN_ULONG q such that
+ * | wnum - sdiv * q | < sdiv */
+#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
+ BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG);
+ q=bn_div_3_words(wnump,d1,d0);
+#else
+ BN_ULONG n0,n1,rem=0;
+
+ n0=wnump[0];
+ n1=wnump[-1];
+ if (n0 == d0)
+ q=BN_MASK2;
+ else /* n0 < d0 */
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t2;
+
+#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
+ q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
+#else
+ q=bn_div_words(n0,n1,d0);
+#ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n",
+ n0, n1, d0, q);
+#endif
+#endif
+
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ /*
+ * rem doesn't have to be BN_ULLONG. The least we
+ * know it's less that d0, isn't it?
+ */
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
+ t2=(BN_ULLONG)d1*q;
+
+ for (;;)
+ {
+ if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ t2 -= d1;
+ }
+#else /* !BN_LLONG */
+ BN_ULONG t2l,t2h;
+
+ q=bn_div_words(n0,n1,d0);
+#ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n",
+ n0, n1, d0, q);
+#endif
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
+
+#if defined(BN_UMULT_LOHI)
+ BN_UMULT_LOHI(t2l,t2h,d1,q);
+#elif defined(BN_UMULT_HIGH)
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1,q);
+#else
+ {
+ BN_ULONG ql, qh;
+ t2l=LBITS(d1); t2h=HBITS(d1);
+ ql =LBITS(q); qh =HBITS(q);
+ mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
+ }
+#endif
+
+ for (;;)
+ {
+ if ((t2h < rem) ||
+ ((t2h == rem) && (t2l <= wnump[-2])))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ if (t2l < d1) t2h--; t2l -= d1;
+ }
+#endif /* !BN_LLONG */
+ }
+#endif /* !BN_DIV3W */
+
+ l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
+ tmp->d[div_n]=l0;
+ wnum.d--;
+ /* ingore top values of the bignums just sub the two
+ * BN_ULONG arrays with bn_sub_words */
+ if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1))
+ {
+ /* Note: As we have considered only the leading
+ * two BN_ULONGs in the calculation of q, sdiv * q
+ * might be greater than wnum (but then (q-1) * sdiv
+ * is less or equal than wnum)
+ */
+ q--;
+ if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
+ /* we can't have an overflow here (assuming
+ * that q != 0, but if q == 0 then tmp is
+ * zero anyway) */
+ (*wnump)++;
+ }
+ /* store part of the result */
+ *resp = q;
+ }
+ bn_correct_top(snum);
+ if (rm != NULL)
+ {
+ /* Keep a copy of the neg flag in num because if rm==num
+ * BN_rshift() will overwrite it.
+ */
+ int neg = num->neg;
+ BN_rshift(rm,snum,norm_shift);
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
+ bn_check_top(rm);
+ }
+ BN_CTX_end(ctx);
+ return(1);
+err:
+ bn_check_top(rm);
+ BN_CTX_end(ctx);
+ return(0);
+ }
+
+
+/* BN_div_no_branch is a special version of BN_div. It does not contain
+ * branches that may leak sensitive information.
+ */
+static int BN_div_no_branch(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
+ const BIGNUM *divisor, BN_CTX *ctx)
+ {
+ int norm_shift,i,loop;
+ BIGNUM *tmp,wnum,*snum,*sdiv,*res;
+ BN_ULONG *resp,*wnump;
+ BN_ULONG d0,d1;
+ int num_n,div_n;
+
+ bn_check_top(dv);
+ bn_check_top(rm);
+ /* bn_check_top(num); */ /* 'num' has been checked in BN_div() */
+ bn_check_top(divisor);
+
+ if (BN_is_zero(divisor))
+ {
+ BNerr(BN_F_BN_DIV_NO_BRANCH,BN_R_DIV_BY_ZERO);
+ return(0);
+ }
+
+ BN_CTX_start(ctx);
+ tmp=BN_CTX_get(ctx);
+ snum=BN_CTX_get(ctx);
+ sdiv=BN_CTX_get(ctx);
+ if (dv == NULL)
+ res=BN_CTX_get(ctx);
+ else res=dv;
+ if (sdiv == NULL || res == NULL) goto err;
+
+ /* First we normalise the numbers */
+ norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2);
+ if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err;
+ sdiv->neg=0;
+ norm_shift+=BN_BITS2;
+ if (!(BN_lshift(snum,num,norm_shift))) goto err;
+ snum->neg=0;
+
+ /* Since we don't know whether snum is larger than sdiv,
+ * we pad snum with enough zeroes without changing its
+ * value.
+ */
+ if (snum->top <= sdiv->top+1)
+ {
+ if (bn_wexpand(snum, sdiv->top + 2) == NULL) goto err;
+ for (i = snum->top; i < sdiv->top + 2; i++) snum->d[i] = 0;
+ snum->top = sdiv->top + 2;
+ }
+ else
+ {
+ if (bn_wexpand(snum, snum->top + 1) == NULL) goto err;
+ snum->d[snum->top] = 0;
+ snum->top ++;
+ }
+
+ div_n=sdiv->top;
+ num_n=snum->top;
+ loop=num_n-div_n;
+ /* Lets setup a 'window' into snum
+ * This is the part that corresponds to the current
+ * 'area' being divided */
+ wnum.neg = 0;
+ wnum.d = &(snum->d[loop]);
+ wnum.top = div_n;
+ /* only needed when BN_ucmp messes up the values between top and max */
+ wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
+
+ /* Get the top 2 words of sdiv */
+ /* div_n=sdiv->top; */
+ d0=sdiv->d[div_n-1];
+ d1=(div_n == 1)?0:sdiv->d[div_n-2];
+
+ /* pointer to the 'top' of snum */
+ wnump= &(snum->d[num_n-1]);
+
+ /* Setup to 'res' */
+ res->neg= (num->neg^divisor->neg);
+ if (!bn_wexpand(res,(loop+1))) goto err;
+ res->top=loop-1;
+ resp= &(res->d[loop-1]);
+
+ /* space for temp */
+ if (!bn_wexpand(tmp,(div_n+1))) goto err;
+
+ /* if res->top == 0 then clear the neg value otherwise decrease
+ * the resp pointer */
+ if (res->top == 0)
+ res->neg = 0;
+ else
+ resp--;
+
+ for (i=0; i<loop-1; i++, wnump--, resp--)
+ {
+ BN_ULONG q,l0;
+ /* the first part of the loop uses the top two words of
+ * snum and sdiv to calculate a BN_ULONG q such that
+ * | wnum - sdiv * q | < sdiv */
+#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
+ BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG);
+ q=bn_div_3_words(wnump,d1,d0);
+#else
+ BN_ULONG n0,n1,rem=0;
+
+ n0=wnump[0];
+ n1=wnump[-1];
+ if (n0 == d0)
+ q=BN_MASK2;
+ else /* n0 < d0 */
+ {
+#ifdef BN_LLONG
+ BN_ULLONG t2;
+
+#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
+ q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
+#else
+ q=bn_div_words(n0,n1,d0);
+#ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n",
+ n0, n1, d0, q);
+#endif
+#endif
+
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ /*
+ * rem doesn't have to be BN_ULLONG. The least we
+ * know it's less that d0, isn't it?
+ */
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
+ t2=(BN_ULLONG)d1*q;
+
+ for (;;)
+ {
+ if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ t2 -= d1;
+ }
+#else /* !BN_LLONG */
+ BN_ULONG t2l,t2h;
+
+ q=bn_div_words(n0,n1,d0);
+#ifdef BN_DEBUG_LEVITTE
+ fprintf(stderr,"DEBUG: bn_div_words(0x%08X,0x%08X,0x%08\
+X) -> 0x%08X\n",
+ n0, n1, d0, q);
+#endif
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
+
+#if defined(BN_UMULT_LOHI)
+ BN_UMULT_LOHI(t2l,t2h,d1,q);
+#elif defined(BN_UMULT_HIGH)
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1,q);
+#else
+ {
+ BN_ULONG ql, qh;
+ t2l=LBITS(d1); t2h=HBITS(d1);
+ ql =LBITS(q); qh =HBITS(q);
+ mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
+ }
+#endif
+
+ for (;;)
+ {
+ if ((t2h < rem) ||
+ ((t2h == rem) && (t2l <= wnump[-2])))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ if (t2l < d1) t2h--; t2l -= d1;
+ }
+#endif /* !BN_LLONG */
+ }
+#endif /* !BN_DIV3W */
+
+ l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
+ tmp->d[div_n]=l0;
+ wnum.d--;
+ /* ingore top values of the bignums just sub the two
+ * BN_ULONG arrays with bn_sub_words */
+ if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n+1))
+ {
+ /* Note: As we have considered only the leading
+ * two BN_ULONGs in the calculation of q, sdiv * q
+ * might be greater than wnum (but then (q-1) * sdiv
+ * is less or equal than wnum)
+ */
+ q--;
+ if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
+ /* we can't have an overflow here (assuming
+ * that q != 0, but if q == 0 then tmp is
+ * zero anyway) */
+ (*wnump)++;
+ }
+ /* store part of the result */
+ *resp = q;
+ }
+ bn_correct_top(snum);
+ if (rm != NULL)
+ {
+ /* Keep a copy of the neg flag in num because if rm==num
+ * BN_rshift() will overwrite it.
+ */
+ int neg = num->neg;
+ BN_rshift(rm,snum,norm_shift);
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
+ bn_check_top(rm);
+ }
+ bn_correct_top(res);
+ BN_CTX_end(ctx);
+ return(1);
+err:
+ bn_check_top(rm);
+ BN_CTX_end(ctx);
+ return(0);
+ }
+
+#endif
diff --git a/openssl/crypto/bn/bn_err.c b/openssl/crypto/bn/bn_err.c
new file mode 100644
index 00000000..cfe2eb94
--- /dev/null
+++ b/openssl/crypto/bn/bn_err.c
@@ -0,0 +1,150 @@
+/* crypto/bn/bn_err.c */
+/* ====================================================================
+ * Copyright (c) 1999-2007 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@OpenSSL.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+/* NOTE: this file was auto generated by the mkerr.pl script: any changes
+ * made to it will be overwritten when the script next updates this file,
+ * only reason strings will be preserved.
+ */
+
+#include <stdio.h>
+#include <openssl/err.h>
+#include <openssl/bn.h>
+
+/* BEGIN ERROR CODES */
+#ifndef OPENSSL_NO_ERR
+
+#define ERR_FUNC(func) ERR_PACK(ERR_LIB_BN,func,0)
+#define ERR_REASON(reason) ERR_PACK(ERR_LIB_BN,0,reason)
+
+static ERR_STRING_DATA BN_str_functs[]=
+ {
+{ERR_FUNC(BN_F_BNRAND), "BNRAND"},
+{ERR_FUNC(BN_F_BN_BLINDING_CONVERT_EX), "BN_BLINDING_convert_ex"},
+{ERR_FUNC(BN_F_BN_BLINDING_CREATE_PARAM), "BN_BLINDING_create_param"},
+{ERR_FUNC(BN_F_BN_BLINDING_INVERT_EX), "BN_BLINDING_invert_ex"},
+{ERR_FUNC(BN_F_BN_BLINDING_NEW), "BN_BLINDING_new"},
+{ERR_FUNC(BN_F_BN_BLINDING_UPDATE), "BN_BLINDING_update"},
+{ERR_FUNC(BN_F_BN_BN2DEC), "BN_bn2dec"},
+{ERR_FUNC(BN_F_BN_BN2HEX), "BN_bn2hex"},
+{ERR_FUNC(BN_F_BN_CTX_GET), "BN_CTX_get"},
+{ERR_FUNC(BN_F_BN_CTX_NEW), "BN_CTX_new"},
+{ERR_FUNC(BN_F_BN_CTX_START), "BN_CTX_start"},
+{ERR_FUNC(BN_F_BN_DIV), "BN_div"},
+{ERR_FUNC(BN_F_BN_DIV_NO_BRANCH), "BN_div_no_branch"},
+{ERR_FUNC(BN_F_BN_DIV_RECP), "BN_div_recp"},
+{ERR_FUNC(BN_F_BN_EXP), "BN_exp"},
+{ERR_FUNC(BN_F_BN_EXPAND2), "bn_expand2"},
+{ERR_FUNC(BN_F_BN_EXPAND_INTERNAL), "BN_EXPAND_INTERNAL"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD), "BN_GF2m_mod"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_EXP), "BN_GF2m_mod_exp"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_MUL), "BN_GF2m_mod_mul"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD), "BN_GF2m_mod_solve_quad"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR), "BN_GF2m_mod_solve_quad_arr"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_SQR), "BN_GF2m_mod_sqr"},
+{ERR_FUNC(BN_F_BN_GF2M_MOD_SQRT), "BN_GF2m_mod_sqrt"},
+{ERR_FUNC(BN_F_BN_MOD_EXP2_MONT), "BN_mod_exp2_mont"},
+{ERR_FUNC(BN_F_BN_MOD_EXP_MONT), "BN_mod_exp_mont"},
+{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_CONSTTIME), "BN_mod_exp_mont_consttime"},
+{ERR_FUNC(BN_F_BN_MOD_EXP_MONT_WORD), "BN_mod_exp_mont_word"},
+{ERR_FUNC(BN_F_BN_MOD_EXP_RECP), "BN_mod_exp_recp"},
+{ERR_FUNC(BN_F_BN_MOD_EXP_SIMPLE), "BN_mod_exp_simple"},
+{ERR_FUNC(BN_F_BN_MOD_INVERSE), "BN_mod_inverse"},
+{ERR_FUNC(BN_F_BN_MOD_INVERSE_NO_BRANCH), "BN_mod_inverse_no_branch"},
+{ERR_FUNC(BN_F_BN_MOD_LSHIFT_QUICK), "BN_mod_lshift_quick"},
+{ERR_FUNC(BN_F_BN_MOD_MUL_RECIPROCAL), "BN_mod_mul_reciprocal"},
+{ERR_FUNC(BN_F_BN_MOD_SQRT), "BN_mod_sqrt"},
+{ERR_FUNC(BN_F_BN_MPI2BN), "BN_mpi2bn"},
+{ERR_FUNC(BN_F_BN_NEW), "BN_new"},
+{ERR_FUNC(BN_F_BN_RAND), "BN_rand"},
+{ERR_FUNC(BN_F_BN_RAND_RANGE), "BN_rand_range"},
+{ERR_FUNC(BN_F_BN_USUB), "BN_usub"},
+{0,NULL}
+ };
+
+static ERR_STRING_DATA BN_str_reasons[]=
+ {
+{ERR_REASON(BN_R_ARG2_LT_ARG3) ,"arg2 lt arg3"},
+{ERR_REASON(BN_R_BAD_RECIPROCAL) ,"bad reciprocal"},
+{ERR_REASON(BN_R_BIGNUM_TOO_LONG) ,"bignum too long"},
+{ERR_REASON(BN_R_CALLED_WITH_EVEN_MODULUS),"called with even modulus"},
+{ERR_REASON(BN_R_DIV_BY_ZERO) ,"div by zero"},
+{ERR_REASON(BN_R_ENCODING_ERROR) ,"encoding error"},
+{ERR_REASON(BN_R_EXPAND_ON_STATIC_BIGNUM_DATA),"expand on static bignum data"},
+{ERR_REASON(BN_R_INPUT_NOT_REDUCED) ,"input not reduced"},
+{ERR_REASON(BN_R_INVALID_LENGTH) ,"invalid length"},
+{ERR_REASON(BN_R_INVALID_RANGE) ,"invalid range"},
+{ERR_REASON(BN_R_NOT_A_SQUARE) ,"not a square"},
+{ERR_REASON(BN_R_NOT_INITIALIZED) ,"not initialized"},
+{ERR_REASON(BN_R_NO_INVERSE) ,"no inverse"},
+{ERR_REASON(BN_R_NO_SOLUTION) ,"no solution"},
+{ERR_REASON(BN_R_P_IS_NOT_PRIME) ,"p is not prime"},
+{ERR_REASON(BN_R_TOO_MANY_ITERATIONS) ,"too many iterations"},
+{ERR_REASON(BN_R_TOO_MANY_TEMPORARY_VARIABLES),"too many temporary variables"},
+{0,NULL}
+ };
+
+#endif
+
+void ERR_load_BN_strings(void)
+ {
+#ifndef OPENSSL_NO_ERR
+
+ if (ERR_func_error_string(BN_str_functs[0].error) == NULL)
+ {
+ ERR_load_strings(0,BN_str_functs);
+ ERR_load_strings(0,BN_str_reasons);
+ }
+#endif
+ }
diff --git a/openssl/crypto/bn/bn_exp.c b/openssl/crypto/bn/bn_exp.c
new file mode 100644
index 00000000..d9b6c737
--- /dev/null
+++ b/openssl/crypto/bn/bn_exp.c
@@ -0,0 +1,991 @@
+/* crypto/bn/bn_exp.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* maximum precomputation table size for *variable* sliding windows */
+#define TABLE_SIZE 32
+
+/* this one works - simple but works */
+int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int i,bits,ret=0;
+ BIGNUM *v,*rr;
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_EXP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ if ((r == a) || (r == p))
+ rr = BN_CTX_get(ctx);
+ else
+ rr = r;
+ v = BN_CTX_get(ctx);
+ if (rr == NULL || v == NULL) goto err;
+
+ if (BN_copy(v,a) == NULL) goto err;
+ bits=BN_num_bits(p);
+
+ if (BN_is_odd(p))
+ { if (BN_copy(rr,a) == NULL) goto err; }
+ else { if (!BN_one(rr)) goto err; }
+
+ for (i=1; i<bits; i++)
+ {
+ if (!BN_sqr(v,v,ctx)) goto err;
+ if (BN_is_bit_set(p,i))
+ {
+ if (!BN_mul(rr,rr,v,ctx)) goto err;
+ }
+ }
+ ret=1;
+err:
+ if (r != rr) BN_copy(r,rr);
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return(ret);
+ }
+
+
+int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m,
+ BN_CTX *ctx)
+ {
+ int ret;
+
+ bn_check_top(a);
+ bn_check_top(p);
+ bn_check_top(m);
+
+ /* For even modulus m = 2^k*m_odd, it might make sense to compute
+ * a^p mod m_odd and a^p mod 2^k separately (with Montgomery
+ * exponentiation for the odd part), using appropriate exponent
+ * reductions, and combine the results using the CRT.
+ *
+ * For now, we use Montgomery only if the modulus is odd; otherwise,
+ * exponentiation using the reciprocal-based quick remaindering
+ * algorithm is used.
+ *
+ * (Timing obtained with expspeed.c [computations a^p mod m
+ * where a, p, m are of the same length: 256, 512, 1024, 2048,
+ * 4096, 8192 bits], compared to the running time of the
+ * standard algorithm:
+ *
+ * BN_mod_exp_mont 33 .. 40 % [AMD K6-2, Linux, debug configuration]
+ * 55 .. 77 % [UltraSparc processor, but
+ * debug-solaris-sparcv8-gcc conf.]
+ *
+ * BN_mod_exp_recp 50 .. 70 % [AMD K6-2, Linux, debug configuration]
+ * 62 .. 118 % [UltraSparc, debug-solaris-sparcv8-gcc]
+ *
+ * On the Sparc, BN_mod_exp_recp was faster than BN_mod_exp_mont
+ * at 2048 and more bits, but at 512 and 1024 bits, it was
+ * slower even than the standard algorithm!
+ *
+ * "Real" timings [linux-elf, solaris-sparcv9-gcc configurations]
+ * should be obtained when the new Montgomery reduction code
+ * has been integrated into OpenSSL.)
+ */
+
+#define MONT_MUL_MOD
+#define MONT_EXP_WORD
+#define RECP_MUL_MOD
+
+#ifdef MONT_MUL_MOD
+ /* I have finally been able to take out this pre-condition of
+ * the top bit being set. It was caused by an error in BN_div
+ * with negatives. There was also another problem when for a^b%m
+ * a >= m. eay 07-May-97 */
+/* if ((m->d[m->top-1]&BN_TBIT) && BN_is_odd(m)) */
+
+ if (BN_is_odd(m))
+ {
+# ifdef MONT_EXP_WORD
+ if (a->top == 1 && !a->neg && (BN_get_flags(p, BN_FLG_CONSTTIME) == 0))
+ {
+ BN_ULONG A = a->d[0];
+ ret=BN_mod_exp_mont_word(r,A,p,m,ctx,NULL);
+ }
+ else
+# endif
+ ret=BN_mod_exp_mont(r,a,p,m,ctx,NULL);
+ }
+ else
+#endif
+#ifdef RECP_MUL_MOD
+ { ret=BN_mod_exp_recp(r,a,p,m,ctx); }
+#else
+ { ret=BN_mod_exp_simple(r,a,p,m,ctx); }
+#endif
+
+ bn_check_top(r);
+ return(ret);
+ }
+
+
+int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx)
+ {
+ int i,j,bits,ret=0,wstart,wend,window,wvalue;
+ int start=1;
+ BIGNUM *aa;
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
+ BN_RECP_CTX recp;
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_RECP,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
+ bits=BN_num_bits(p);
+
+ if (bits == 0)
+ {
+ ret = BN_one(r);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ aa = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!aa || !val[0]) goto err;
+
+ BN_RECP_CTX_init(&recp);
+ if (m->neg)
+ {
+ /* ignore sign of 'm' */
+ if (!BN_copy(aa, m)) goto err;
+ aa->neg = 0;
+ if (BN_RECP_CTX_set(&recp,aa,ctx) <= 0) goto err;
+ }
+ else
+ {
+ if (BN_RECP_CTX_set(&recp,m,ctx) <= 0) goto err;
+ }
+
+ if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
+ if (BN_is_zero(val[0]))
+ {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
+ {
+ if (!BN_mod_mul_reciprocal(aa,val[0],val[0],&recp,ctx))
+ goto err; /* 2 */
+ j=1<<(window-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_reciprocal(val[i],val[i-1],
+ aa,&recp,ctx))
+ goto err;
+ }
+ }
+
+ start=1; /* This is used to avoid multiplication etc
+ * when there is only the value '1' in the
+ * buffer. */
+ wvalue=0; /* The 'value' of the window */
+ wstart=bits-1; /* The top bit of the window */
+ wend=0; /* The bottom bit of the window */
+
+ if (!BN_one(r)) goto err;
+
+ for (;;)
+ {
+ if (BN_is_bit_set(p,wstart) == 0)
+ {
+ if (!start)
+ if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx))
+ goto err;
+ if (wstart == 0) break;
+ wstart--;
+ continue;
+ }
+ /* We now have wstart on a 'set' bit, we now need to work out
+ * how bit a window to do. To do this we need to scan
+ * forward until the last set bit before the end of the
+ * window */
+ j=wstart;
+ wvalue=1;
+ wend=0;
+ for (i=1; i<window; i++)
+ {
+ if (wstart-i < 0) break;
+ if (BN_is_bit_set(p,wstart-i))
+ {
+ wvalue<<=(i-wend);
+ wvalue|=1;
+ wend=i;
+ }
+ }
+
+ /* wend is the size of the current window */
+ j=wend+1;
+ /* add the 'bytes above' */
+ if (!start)
+ for (i=0; i<j; i++)
+ {
+ if (!BN_mod_mul_reciprocal(r,r,r,&recp,ctx))
+ goto err;
+ }
+
+ /* wvalue will be an odd number < 2^window */
+ if (!BN_mod_mul_reciprocal(r,r,val[wvalue>>1],&recp,ctx))
+ goto err;
+
+ /* move the 'window' down further */
+ wstart-=wend+1;
+ wvalue=0;
+ start=0;
+ if (wstart < 0) break;
+ }
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ BN_RECP_CTX_free(&recp);
+ bn_check_top(r);
+ return(ret);
+ }
+
+
+int BN_mod_exp_mont(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
+ {
+ int i,j,bits,ret=0,wstart,wend,window,wvalue;
+ int start=1;
+ BIGNUM *d,*r;
+ const BIGNUM *aa;
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
+ BN_MONT_CTX *mont=NULL;
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ return BN_mod_exp_mont_consttime(rr, a, p, m, ctx, in_mont);
+ }
+
+ bn_check_top(a);
+ bn_check_top(p);
+ bn_check_top(m);
+
+ if (!BN_is_odd(m))
+ {
+ BNerr(BN_F_BN_MOD_EXP_MONT,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ bits=BN_num_bits(p);
+ if (bits == 0)
+ {
+ ret = BN_one(rr);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ r = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if (!d || !r || !val[0]) goto err;
+
+ /* If this is not done, things will break in the montgomery
+ * part */
+
+ if (in_mont != NULL)
+ mont=in_mont;
+ else
+ {
+ if ((mont=BN_MONT_CTX_new()) == NULL) goto err;
+ if (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
+ }
+
+ if (a->neg || BN_ucmp(a,m) >= 0)
+ {
+ if (!BN_nnmod(val[0],a,m,ctx))
+ goto err;
+ aa= val[0];
+ }
+ else
+ aa=a;
+ if (BN_is_zero(aa))
+ {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
+ if (!BN_to_montgomery(val[0],aa,mont,ctx)) goto err; /* 1 */
+
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
+ {
+ if (!BN_mod_mul_montgomery(d,val[0],val[0],mont,ctx)) goto err; /* 2 */
+ j=1<<(window-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val[i],val[i-1],
+ d,mont,ctx))
+ goto err;
+ }
+ }
+
+ start=1; /* This is used to avoid multiplication etc
+ * when there is only the value '1' in the
+ * buffer. */
+ wvalue=0; /* The 'value' of the window */
+ wstart=bits-1; /* The top bit of the window */
+ wend=0; /* The bottom bit of the window */
+
+ if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
+ for (;;)
+ {
+ if (BN_is_bit_set(p,wstart) == 0)
+ {
+ if (!start)
+ {
+ if (!BN_mod_mul_montgomery(r,r,r,mont,ctx))
+ goto err;
+ }
+ if (wstart == 0) break;
+ wstart--;
+ continue;
+ }
+ /* We now have wstart on a 'set' bit, we now need to work out
+ * how bit a window to do. To do this we need to scan
+ * forward until the last set bit before the end of the
+ * window */
+ j=wstart;
+ wvalue=1;
+ wend=0;
+ for (i=1; i<window; i++)
+ {
+ if (wstart-i < 0) break;
+ if (BN_is_bit_set(p,wstart-i))
+ {
+ wvalue<<=(i-wend);
+ wvalue|=1;
+ wend=i;
+ }
+ }
+
+ /* wend is the size of the current window */
+ j=wend+1;
+ /* add the 'bytes above' */
+ if (!start)
+ for (i=0; i<j; i++)
+ {
+ if (!BN_mod_mul_montgomery(r,r,r,mont,ctx))
+ goto err;
+ }
+
+ /* wvalue will be an odd number < 2^window */
+ if (!BN_mod_mul_montgomery(r,r,val[wvalue>>1],mont,ctx))
+ goto err;
+
+ /* move the 'window' down further */
+ wstart-=wend+1;
+ wvalue=0;
+ start=0;
+ if (wstart < 0) break;
+ }
+ if (!BN_from_montgomery(rr,r,mont,ctx)) goto err;
+ ret=1;
+err:
+ if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+ BN_CTX_end(ctx);
+ bn_check_top(rr);
+ return(ret);
+ }
+
+
+/* BN_mod_exp_mont_consttime() stores the precomputed powers in a specific layout
+ * so that accessing any of these table values shows the same access pattern as far
+ * as cache lines are concerned. The following functions are used to transfer a BIGNUM
+ * from/to that table. */
+
+static int MOD_EXP_CTIME_COPY_TO_PREBUF(BIGNUM *b, int top, unsigned char *buf, int idx, int width)
+ {
+ size_t i, j;
+
+ if (bn_wexpand(b, top) == NULL)
+ return 0;
+ while (b->top < top)
+ {
+ b->d[b->top++] = 0;
+ }
+
+ for (i = 0, j=idx; i < top * sizeof b->d[0]; i++, j+=width)
+ {
+ buf[j] = ((unsigned char*)b->d)[i];
+ }
+
+ bn_correct_top(b);
+ return 1;
+ }
+
+static int MOD_EXP_CTIME_COPY_FROM_PREBUF(BIGNUM *b, int top, unsigned char *buf, int idx, int width)
+ {
+ size_t i, j;
+
+ if (bn_wexpand(b, top) == NULL)
+ return 0;
+
+ for (i=0, j=idx; i < top * sizeof b->d[0]; i++, j+=width)
+ {
+ ((unsigned char*)b->d)[i] = buf[j];
+ }
+
+ b->top = top;
+ bn_correct_top(b);
+ return 1;
+ }
+
+/* Given a pointer value, compute the next address that is a cache line multiple. */
+#define MOD_EXP_CTIME_ALIGN(x_) \
+ ((unsigned char*)(x_) + (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - (((BN_ULONG)(x_)) & (MOD_EXP_CTIME_MIN_CACHE_LINE_MASK))))
+
+/* This variant of BN_mod_exp_mont() uses fixed windows and the special
+ * precomputation memory layout to limit data-dependency to a minimum
+ * to protect secret exponents (cf. the hyper-threading timing attacks
+ * pointed out by Colin Percival,
+ * http://www.daemonology.net/hyperthreading-considered-harmful/)
+ */
+int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
+ {
+ int i,bits,ret=0,idx,window,wvalue;
+ int top;
+ BIGNUM *r;
+ const BIGNUM *aa;
+ BN_MONT_CTX *mont=NULL;
+
+ int numPowers;
+ unsigned char *powerbufFree=NULL;
+ int powerbufLen = 0;
+ unsigned char *powerbuf=NULL;
+ BIGNUM *computeTemp=NULL, *am=NULL;
+
+ bn_check_top(a);
+ bn_check_top(p);
+ bn_check_top(m);
+
+ top = m->top;
+
+ if (!(m->d[0] & 1))
+ {
+ BNerr(BN_F_BN_MOD_EXP_MONT_CONSTTIME,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ bits=BN_num_bits(p);
+ if (bits == 0)
+ {
+ ret = BN_one(rr);
+ return ret;
+ }
+
+ /* Initialize BIGNUM context and allocate intermediate result */
+ BN_CTX_start(ctx);
+ r = BN_CTX_get(ctx);
+ if (r == NULL) goto err;
+
+ /* Allocate a montgomery context if it was not supplied by the caller.
+ * If this is not done, things will break in the montgomery part.
+ */
+ if (in_mont != NULL)
+ mont=in_mont;
+ else
+ {
+ if ((mont=BN_MONT_CTX_new()) == NULL) goto err;
+ if (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
+ }
+
+ /* Get the window size to use with size of p. */
+ window = BN_window_bits_for_ctime_exponent_size(bits);
+
+ /* Allocate a buffer large enough to hold all of the pre-computed
+ * powers of a.
+ */
+ numPowers = 1 << window;
+ powerbufLen = sizeof(m->d[0])*top*numPowers;
+ if ((powerbufFree=(unsigned char*)OPENSSL_malloc(powerbufLen+MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH)) == NULL)
+ goto err;
+
+ powerbuf = MOD_EXP_CTIME_ALIGN(powerbufFree);
+ memset(powerbuf, 0, powerbufLen);
+
+ /* Initialize the intermediate result. Do this early to save double conversion,
+ * once each for a^0 and intermediate result.
+ */
+ if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(r, top, powerbuf, 0, numPowers)) goto err;
+
+ /* Initialize computeTemp as a^1 with montgomery precalcs */
+ computeTemp = BN_CTX_get(ctx);
+ am = BN_CTX_get(ctx);
+ if (computeTemp==NULL || am==NULL) goto err;
+
+ if (a->neg || BN_ucmp(a,m) >= 0)
+ {
+ if (!BN_mod(am,a,m,ctx))
+ goto err;
+ aa= am;
+ }
+ else
+ aa=a;
+ if (!BN_to_montgomery(am,aa,mont,ctx)) goto err;
+ if (!BN_copy(computeTemp, am)) goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(am, top, powerbuf, 1, numPowers)) goto err;
+
+ /* If the window size is greater than 1, then calculate
+ * val[i=2..2^winsize-1]. Powers are computed as a*a^(i-1)
+ * (even powers could instead be computed as (a^(i/2))^2
+ * to use the slight performance advantage of sqr over mul).
+ */
+ if (window > 1)
+ {
+ for (i=2; i<numPowers; i++)
+ {
+ /* Calculate a^i = a^(i-1) * a */
+ if (!BN_mod_mul_montgomery(computeTemp,am,computeTemp,mont,ctx))
+ goto err;
+ if (!MOD_EXP_CTIME_COPY_TO_PREBUF(computeTemp, top, powerbuf, i, numPowers)) goto err;
+ }
+ }
+
+ /* Adjust the number of bits up to a multiple of the window size.
+ * If the exponent length is not a multiple of the window size, then
+ * this pads the most significant bits with zeros to normalize the
+ * scanning loop to there's no special cases.
+ *
+ * * NOTE: Making the window size a power of two less than the native
+ * * word size ensures that the padded bits won't go past the last
+ * * word in the internal BIGNUM structure. Going past the end will
+ * * still produce the correct result, but causes a different branch
+ * * to be taken in the BN_is_bit_set function.
+ */
+ bits = ((bits+window-1)/window)*window;
+ idx=bits-1; /* The top bit of the window */
+
+ /* Scan the exponent one window at a time starting from the most
+ * significant bits.
+ */
+ while (idx >= 0)
+ {
+ wvalue=0; /* The 'value' of the window */
+
+ /* Scan the window, squaring the result as we go */
+ for (i=0; i<window; i++,idx--)
+ {
+ if (!BN_mod_mul_montgomery(r,r,r,mont,ctx)) goto err;
+ wvalue = (wvalue<<1)+BN_is_bit_set(p,idx);
+ }
+
+ /* Fetch the appropriate pre-computed value from the pre-buf */
+ if (!MOD_EXP_CTIME_COPY_FROM_PREBUF(computeTemp, top, powerbuf, wvalue, numPowers)) goto err;
+
+ /* Multiply the result into the intermediate result */
+ if (!BN_mod_mul_montgomery(r,r,computeTemp,mont,ctx)) goto err;
+ }
+
+ /* Convert the final result from montgomery to standard format */
+ if (!BN_from_montgomery(rr,r,mont,ctx)) goto err;
+ ret=1;
+err:
+ if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+ if (powerbuf!=NULL)
+ {
+ OPENSSL_cleanse(powerbuf,powerbufLen);
+ OPENSSL_free(powerbufFree);
+ }
+ if (am!=NULL) BN_clear(am);
+ if (computeTemp!=NULL) BN_clear(computeTemp);
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+int BN_mod_exp_mont_word(BIGNUM *rr, BN_ULONG a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont)
+ {
+ BN_MONT_CTX *mont = NULL;
+ int b, bits, ret=0;
+ int r_is_one;
+ BN_ULONG w, next_w;
+ BIGNUM *d, *r, *t;
+ BIGNUM *swap_tmp;
+#define BN_MOD_MUL_WORD(r, w, m) \
+ (BN_mul_word(r, (w)) && \
+ (/* BN_ucmp(r, (m)) < 0 ? 1 :*/ \
+ (BN_mod(t, r, m, ctx) && (swap_tmp = r, r = t, t = swap_tmp, 1))))
+ /* BN_MOD_MUL_WORD is only used with 'w' large,
+ * so the BN_ucmp test is probably more overhead
+ * than always using BN_mod (which uses BN_copy if
+ * a similar test returns true). */
+ /* We can use BN_mod and do not need BN_nnmod because our
+ * accumulator is never negative (the result of BN_mod does
+ * not depend on the sign of the modulus).
+ */
+#define BN_TO_MONTGOMERY_WORD(r, w, mont) \
+ (BN_set_word(r, (w)) && BN_to_montgomery(r, r, (mont), ctx))
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_MONT_WORD,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
+ bn_check_top(p);
+ bn_check_top(m);
+
+ if (!BN_is_odd(m))
+ {
+ BNerr(BN_F_BN_MOD_EXP_MONT_WORD,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ if (m->top == 1)
+ a %= m->d[0]; /* make sure that 'a' is reduced */
+
+ bits = BN_num_bits(p);
+ if (bits == 0)
+ {
+ ret = BN_one(rr);
+ return ret;
+ }
+ if (a == 0)
+ {
+ BN_zero(rr);
+ ret = 1;
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ r = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
+ if (d == NULL || r == NULL || t == NULL) goto err;
+
+ if (in_mont != NULL)
+ mont=in_mont;
+ else
+ {
+ if ((mont = BN_MONT_CTX_new()) == NULL) goto err;
+ if (!BN_MONT_CTX_set(mont, m, ctx)) goto err;
+ }
+
+ r_is_one = 1; /* except for Montgomery factor */
+
+ /* bits-1 >= 0 */
+
+ /* The result is accumulated in the product r*w. */
+ w = a; /* bit 'bits-1' of 'p' is always set */
+ for (b = bits-2; b >= 0; b--)
+ {
+ /* First, square r*w. */
+ next_w = w*w;
+ if ((next_w/w) != w) /* overflow */
+ {
+ if (r_is_one)
+ {
+ if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err;
+ r_is_one = 0;
+ }
+ else
+ {
+ if (!BN_MOD_MUL_WORD(r, w, m)) goto err;
+ }
+ next_w = 1;
+ }
+ w = next_w;
+ if (!r_is_one)
+ {
+ if (!BN_mod_mul_montgomery(r, r, r, mont, ctx)) goto err;
+ }
+
+ /* Second, multiply r*w by 'a' if exponent bit is set. */
+ if (BN_is_bit_set(p, b))
+ {
+ next_w = w*a;
+ if ((next_w/a) != w) /* overflow */
+ {
+ if (r_is_one)
+ {
+ if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err;
+ r_is_one = 0;
+ }
+ else
+ {
+ if (!BN_MOD_MUL_WORD(r, w, m)) goto err;
+ }
+ next_w = a;
+ }
+ w = next_w;
+ }
+ }
+
+ /* Finally, set r:=r*w. */
+ if (w != 1)
+ {
+ if (r_is_one)
+ {
+ if (!BN_TO_MONTGOMERY_WORD(r, w, mont)) goto err;
+ r_is_one = 0;
+ }
+ else
+ {
+ if (!BN_MOD_MUL_WORD(r, w, m)) goto err;
+ }
+ }
+
+ if (r_is_one) /* can happen only if a == 1*/
+ {
+ if (!BN_one(rr)) goto err;
+ }
+ else
+ {
+ if (!BN_from_montgomery(rr, r, mont, ctx)) goto err;
+ }
+ ret = 1;
+err:
+ if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+ BN_CTX_end(ctx);
+ bn_check_top(rr);
+ return(ret);
+ }
+
+
+/* The old fallback, simple version :-) */
+int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
+ const BIGNUM *m, BN_CTX *ctx)
+ {
+ int i,j,bits,ret=0,wstart,wend,window,wvalue;
+ int start=1;
+ BIGNUM *d;
+ /* Table of variables obtained from 'ctx' */
+ BIGNUM *val[TABLE_SIZE];
+
+ if (BN_get_flags(p, BN_FLG_CONSTTIME) != 0)
+ {
+ /* BN_FLG_CONSTTIME only supported by BN_mod_exp_mont() */
+ BNerr(BN_F_BN_MOD_EXP_SIMPLE,ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return -1;
+ }
+
+ bits=BN_num_bits(p);
+
+ if (bits == 0)
+ {
+ ret = BN_one(r);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ val[0] = BN_CTX_get(ctx);
+ if(!d || !val[0]) goto err;
+
+ if (!BN_nnmod(val[0],a,m,ctx)) goto err; /* 1 */
+ if (BN_is_zero(val[0]))
+ {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ window = BN_window_bits_for_exponent_size(bits);
+ if (window > 1)
+ {
+ if (!BN_mod_mul(d,val[0],val[0],m,ctx))
+ goto err; /* 2 */
+ j=1<<(window-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul(val[i],val[i-1],d,m,ctx))
+ goto err;
+ }
+ }
+
+ start=1; /* This is used to avoid multiplication etc
+ * when there is only the value '1' in the
+ * buffer. */
+ wvalue=0; /* The 'value' of the window */
+ wstart=bits-1; /* The top bit of the window */
+ wend=0; /* The bottom bit of the window */
+
+ if (!BN_one(r)) goto err;
+
+ for (;;)
+ {
+ if (BN_is_bit_set(p,wstart) == 0)
+ {
+ if (!start)
+ if (!BN_mod_mul(r,r,r,m,ctx))
+ goto err;
+ if (wstart == 0) break;
+ wstart--;
+ continue;
+ }
+ /* We now have wstart on a 'set' bit, we now need to work out
+ * how bit a window to do. To do this we need to scan
+ * forward until the last set bit before the end of the
+ * window */
+ j=wstart;
+ wvalue=1;
+ wend=0;
+ for (i=1; i<window; i++)
+ {
+ if (wstart-i < 0) break;
+ if (BN_is_bit_set(p,wstart-i))
+ {
+ wvalue<<=(i-wend);
+ wvalue|=1;
+ wend=i;
+ }
+ }
+
+ /* wend is the size of the current window */
+ j=wend+1;
+ /* add the 'bytes above' */
+ if (!start)
+ for (i=0; i<j; i++)
+ {
+ if (!BN_mod_mul(r,r,r,m,ctx))
+ goto err;
+ }
+
+ /* wvalue will be an odd number < 2^window */
+ if (!BN_mod_mul(r,r,val[wvalue>>1],m,ctx))
+ goto err;
+
+ /* move the 'window' down further */
+ wstart-=wend+1;
+ wvalue=0;
+ start=0;
+ if (wstart < 0) break;
+ }
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return(ret);
+ }
+
diff --git a/openssl/crypto/bn/bn_exp2.c b/openssl/crypto/bn/bn_exp2.c
new file mode 100644
index 00000000..bd0c34b9
--- /dev/null
+++ b/openssl/crypto/bn/bn_exp2.c
@@ -0,0 +1,312 @@
+/* crypto/bn/bn_exp2.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+#define TABLE_SIZE 32
+
+int BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1,
+ const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
+ BN_CTX *ctx, BN_MONT_CTX *in_mont)
+ {
+ int i,j,bits,b,bits1,bits2,ret=0,wpos1,wpos2,window1,window2,wvalue1,wvalue2;
+ int r_is_one=1;
+ BIGNUM *d,*r;
+ const BIGNUM *a_mod_m;
+ /* Tables of variables obtained from 'ctx' */
+ BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE];
+ BN_MONT_CTX *mont=NULL;
+
+ bn_check_top(a1);
+ bn_check_top(p1);
+ bn_check_top(a2);
+ bn_check_top(p2);
+ bn_check_top(m);
+
+ if (!(m->d[0] & 1))
+ {
+ BNerr(BN_F_BN_MOD_EXP2_MONT,BN_R_CALLED_WITH_EVEN_MODULUS);
+ return(0);
+ }
+ bits1=BN_num_bits(p1);
+ bits2=BN_num_bits(p2);
+ if ((bits1 == 0) && (bits2 == 0))
+ {
+ ret = BN_one(rr);
+ return ret;
+ }
+
+ bits=(bits1 > bits2)?bits1:bits2;
+
+ BN_CTX_start(ctx);
+ d = BN_CTX_get(ctx);
+ r = BN_CTX_get(ctx);
+ val1[0] = BN_CTX_get(ctx);
+ val2[0] = BN_CTX_get(ctx);
+ if(!d || !r || !val1[0] || !val2[0]) goto err;
+
+ if (in_mont != NULL)
+ mont=in_mont;
+ else
+ {
+ if ((mont=BN_MONT_CTX_new()) == NULL) goto err;
+ if (!BN_MONT_CTX_set(mont,m,ctx)) goto err;
+ }
+
+ window1 = BN_window_bits_for_exponent_size(bits1);
+ window2 = BN_window_bits_for_exponent_size(bits2);
+
+ /*
+ * Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1)
+ */
+ if (a1->neg || BN_ucmp(a1,m) >= 0)
+ {
+ if (!BN_mod(val1[0],a1,m,ctx))
+ goto err;
+ a_mod_m = val1[0];
+ }
+ else
+ a_mod_m = a1;
+ if (BN_is_zero(a_mod_m))
+ {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
+
+ if (!BN_to_montgomery(val1[0],a_mod_m,mont,ctx)) goto err;
+ if (window1 > 1)
+ {
+ if (!BN_mod_mul_montgomery(d,val1[0],val1[0],mont,ctx)) goto err;
+
+ j=1<<(window1-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val1[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val1[i],val1[i-1],
+ d,mont,ctx))
+ goto err;
+ }
+ }
+
+
+ /*
+ * Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1)
+ */
+ if (a2->neg || BN_ucmp(a2,m) >= 0)
+ {
+ if (!BN_mod(val2[0],a2,m,ctx))
+ goto err;
+ a_mod_m = val2[0];
+ }
+ else
+ a_mod_m = a2;
+ if (BN_is_zero(a_mod_m))
+ {
+ BN_zero(rr);
+ ret = 1;
+ goto err;
+ }
+ if (!BN_to_montgomery(val2[0],a_mod_m,mont,ctx)) goto err;
+ if (window2 > 1)
+ {
+ if (!BN_mod_mul_montgomery(d,val2[0],val2[0],mont,ctx)) goto err;
+
+ j=1<<(window2-1);
+ for (i=1; i<j; i++)
+ {
+ if(((val2[i] = BN_CTX_get(ctx)) == NULL) ||
+ !BN_mod_mul_montgomery(val2[i],val2[i-1],
+ d,mont,ctx))
+ goto err;
+ }
+ }
+
+
+ /* Now compute the power product, using independent windows. */
+ r_is_one=1;
+ wvalue1=0; /* The 'value' of the first window */
+ wvalue2=0; /* The 'value' of the second window */
+ wpos1=0; /* If wvalue1 > 0, the bottom bit of the first window */
+ wpos2=0; /* If wvalue2 > 0, the bottom bit of the second window */
+
+ if (!BN_to_montgomery(r,BN_value_one(),mont,ctx)) goto err;
+ for (b=bits-1; b>=0; b--)
+ {
+ if (!r_is_one)
+ {
+ if (!BN_mod_mul_montgomery(r,r,r,mont,ctx))
+ goto err;
+ }
+
+ if (!wvalue1)
+ if (BN_is_bit_set(p1, b))
+ {
+ /* consider bits b-window1+1 .. b for this window */
+ i = b-window1+1;
+ while (!BN_is_bit_set(p1, i)) /* works for i<0 */
+ i++;
+ wpos1 = i;
+ wvalue1 = 1;
+ for (i = b-1; i >= wpos1; i--)
+ {
+ wvalue1 <<= 1;
+ if (BN_is_bit_set(p1, i))
+ wvalue1++;
+ }
+ }
+
+ if (!wvalue2)
+ if (BN_is_bit_set(p2, b))
+ {
+ /* consider bits b-window2+1 .. b for this window */
+ i = b-window2+1;
+ while (!BN_is_bit_set(p2, i))
+ i++;
+ wpos2 = i;
+ wvalue2 = 1;
+ for (i = b-1; i >= wpos2; i--)
+ {
+ wvalue2 <<= 1;
+ if (BN_is_bit_set(p2, i))
+ wvalue2++;
+ }
+ }
+
+ if (wvalue1 && b == wpos1)
+ {
+ /* wvalue1 is odd and < 2^window1 */
+ if (!BN_mod_mul_montgomery(r,r,val1[wvalue1>>1],mont,ctx))
+ goto err;
+ wvalue1 = 0;
+ r_is_one = 0;
+ }
+
+ if (wvalue2 && b == wpos2)
+ {
+ /* wvalue2 is odd and < 2^window2 */
+ if (!BN_mod_mul_montgomery(r,r,val2[wvalue2>>1],mont,ctx))
+ goto err;
+ wvalue2 = 0;
+ r_is_one = 0;
+ }
+ }
+ if (!BN_from_montgomery(rr,r,mont,ctx))
+ goto err;
+ ret=1;
+err:
+ if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+ BN_CTX_end(ctx);
+ bn_check_top(rr);
+ return(ret);
+ }
diff --git a/openssl/crypto/bn/bn_gcd.c b/openssl/crypto/bn/bn_gcd.c
new file mode 100644
index 00000000..4a352119
--- /dev/null
+++ b/openssl/crypto/bn/bn_gcd.c
@@ -0,0 +1,654 @@
+/* crypto/bn/bn_gcd.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+static BIGNUM *euclid(BIGNUM *a, BIGNUM *b);
+
+int BN_gcd(BIGNUM *r, const BIGNUM *in_a, const BIGNUM *in_b, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*t;
+ int ret=0;
+
+ bn_check_top(in_a);
+ bn_check_top(in_b);
+
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ if (a == NULL || b == NULL) goto err;
+
+ if (BN_copy(a,in_a) == NULL) goto err;
+ if (BN_copy(b,in_b) == NULL) goto err;
+ a->neg = 0;
+ b->neg = 0;
+
+ if (BN_cmp(a,b) < 0) { t=a; a=b; b=t; }
+ t=euclid(a,b);
+ if (t == NULL) goto err;
+
+ if (BN_copy(r,t) == NULL) goto err;
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return(ret);
+ }
+
+static BIGNUM *euclid(BIGNUM *a, BIGNUM *b)
+ {
+ BIGNUM *t;
+ int shifts=0;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ /* 0 <= b <= a */
+ while (!BN_is_zero(b))
+ {
+ /* 0 < b <= a */
+
+ if (BN_is_odd(a))
+ {
+ if (BN_is_odd(b))
+ {
+ if (!BN_sub(a,a,b)) goto err;
+ if (!BN_rshift1(a,a)) goto err;
+ if (BN_cmp(a,b) < 0)
+ { t=a; a=b; b=t; }
+ }
+ else /* a odd - b even */
+ {
+ if (!BN_rshift1(b,b)) goto err;
+ if (BN_cmp(a,b) < 0)
+ { t=a; a=b; b=t; }
+ }
+ }
+ else /* a is even */
+ {
+ if (BN_is_odd(b))
+ {
+ if (!BN_rshift1(a,a)) goto err;
+ if (BN_cmp(a,b) < 0)
+ { t=a; a=b; b=t; }
+ }
+ else /* a even - b even */
+ {
+ if (!BN_rshift1(a,a)) goto err;
+ if (!BN_rshift1(b,b)) goto err;
+ shifts++;
+ }
+ }
+ /* 0 <= b <= a */
+ }
+
+ if (shifts)
+ {
+ if (!BN_lshift(a,a,shifts)) goto err;
+ }
+ bn_check_top(a);
+ return(a);
+err:
+ return(NULL);
+ }
+
+
+/* solves ax == 1 (mod n) */
+static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
+BIGNUM *BN_mod_inverse(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
+ {
+ BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL;
+ BIGNUM *ret=NULL;
+ int sign;
+
+ if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0))
+ {
+ return BN_mod_inverse_no_branch(in, a, n, ctx);
+ }
+
+ bn_check_top(a);
+ bn_check_top(n);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ X = BN_CTX_get(ctx);
+ D = BN_CTX_get(ctx);
+ M = BN_CTX_get(ctx);
+ Y = BN_CTX_get(ctx);
+ T = BN_CTX_get(ctx);
+ if (T == NULL) goto err;
+
+ if (in == NULL)
+ R=BN_new();
+ else
+ R=in;
+ if (R == NULL) goto err;
+
+ BN_one(X);
+ BN_zero(Y);
+ if (BN_copy(B,a) == NULL) goto err;
+ if (BN_copy(A,n) == NULL) goto err;
+ A->neg = 0;
+ if (B->neg || (BN_ucmp(B, A) >= 0))
+ {
+ if (!BN_nnmod(B, B, A, ctx)) goto err;
+ }
+ sign = -1;
+ /* From B = a mod |n|, A = |n| it follows that
+ *
+ * 0 <= B < A,
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ */
+
+ if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048)))
+ {
+ /* Binary inversion algorithm; requires odd modulus.
+ * This is faster than the general algorithm if the modulus
+ * is sufficiently small (about 400 .. 500 bits on 32-bit
+ * sytems, but much more on 64-bit systems) */
+ int shift;
+
+ while (!BN_is_zero(B))
+ {
+ /*
+ * 0 < B < |n|,
+ * 0 < A <= |n|,
+ * (1) -sign*X*a == B (mod |n|),
+ * (2) sign*Y*a == A (mod |n|)
+ */
+
+ /* Now divide B by the maximum possible power of two in the integers,
+ * and divide X by the same value mod |n|.
+ * When we're done, (1) still holds. */
+ shift = 0;
+ while (!BN_is_bit_set(B, shift)) /* note that 0 < B */
+ {
+ shift++;
+
+ if (BN_is_odd(X))
+ {
+ if (!BN_uadd(X, X, n)) goto err;
+ }
+ /* now X is even, so we can easily divide it by two */
+ if (!BN_rshift1(X, X)) goto err;
+ }
+ if (shift > 0)
+ {
+ if (!BN_rshift(B, B, shift)) goto err;
+ }
+
+
+ /* Same for A and Y. Afterwards, (2) still holds. */
+ shift = 0;
+ while (!BN_is_bit_set(A, shift)) /* note that 0 < A */
+ {
+ shift++;
+
+ if (BN_is_odd(Y))
+ {
+ if (!BN_uadd(Y, Y, n)) goto err;
+ }
+ /* now Y is even */
+ if (!BN_rshift1(Y, Y)) goto err;
+ }
+ if (shift > 0)
+ {
+ if (!BN_rshift(A, A, shift)) goto err;
+ }
+
+
+ /* We still have (1) and (2).
+ * Both A and B are odd.
+ * The following computations ensure that
+ *
+ * 0 <= B < |n|,
+ * 0 < A < |n|,
+ * (1) -sign*X*a == B (mod |n|),
+ * (2) sign*Y*a == A (mod |n|),
+ *
+ * and that either A or B is even in the next iteration.
+ */
+ if (BN_ucmp(B, A) >= 0)
+ {
+ /* -sign*(X + Y)*a == B - A (mod |n|) */
+ if (!BN_uadd(X, X, Y)) goto err;
+ /* NB: we could use BN_mod_add_quick(X, X, Y, n), but that
+ * actually makes the algorithm slower */
+ if (!BN_usub(B, B, A)) goto err;
+ }
+ else
+ {
+ /* sign*(X + Y)*a == A - B (mod |n|) */
+ if (!BN_uadd(Y, Y, X)) goto err;
+ /* as above, BN_mod_add_quick(Y, Y, X, n) would slow things down */
+ if (!BN_usub(A, A, B)) goto err;
+ }
+ }
+ }
+ else
+ {
+ /* general inversion algorithm */
+
+ while (!BN_is_zero(B))
+ {
+ BIGNUM *tmp;
+
+ /*
+ * 0 < B < A,
+ * (*) -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|)
+ */
+
+ /* (D, M) := (A/B, A%B) ... */
+ if (BN_num_bits(A) == BN_num_bits(B))
+ {
+ if (!BN_one(D)) goto err;
+ if (!BN_sub(M,A,B)) goto err;
+ }
+ else if (BN_num_bits(A) == BN_num_bits(B) + 1)
+ {
+ /* A/B is 1, 2, or 3 */
+ if (!BN_lshift1(T,B)) goto err;
+ if (BN_ucmp(A,T) < 0)
+ {
+ /* A < 2*B, so D=1 */
+ if (!BN_one(D)) goto err;
+ if (!BN_sub(M,A,B)) goto err;
+ }
+ else
+ {
+ /* A >= 2*B, so D=2 or D=3 */
+ if (!BN_sub(M,A,T)) goto err;
+ if (!BN_add(D,T,B)) goto err; /* use D (:= 3*B) as temp */
+ if (BN_ucmp(A,D) < 0)
+ {
+ /* A < 3*B, so D=2 */
+ if (!BN_set_word(D,2)) goto err;
+ /* M (= A - 2*B) already has the correct value */
+ }
+ else
+ {
+ /* only D=3 remains */
+ if (!BN_set_word(D,3)) goto err;
+ /* currently M = A - 2*B, but we need M = A - 3*B */
+ if (!BN_sub(M,M,B)) goto err;
+ }
+ }
+ }
+ else
+ {
+ if (!BN_div(D,M,A,B,ctx)) goto err;
+ }
+
+ /* Now
+ * A = D*B + M;
+ * thus we have
+ * (**) sign*Y*a == D*B + M (mod |n|).
+ */
+
+ tmp=A; /* keep the BIGNUM object, the value does not matter */
+
+ /* (A, B) := (B, A mod B) ... */
+ A=B;
+ B=M;
+ /* ... so we have 0 <= B < A again */
+
+ /* Since the former M is now B and the former B is now A,
+ * (**) translates into
+ * sign*Y*a == D*A + B (mod |n|),
+ * i.e.
+ * sign*Y*a - D*A == B (mod |n|).
+ * Similarly, (*) translates into
+ * -sign*X*a == A (mod |n|).
+ *
+ * Thus,
+ * sign*Y*a + D*sign*X*a == B (mod |n|),
+ * i.e.
+ * sign*(Y + D*X)*a == B (mod |n|).
+ *
+ * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ * Note that X and Y stay non-negative all the time.
+ */
+
+ /* most of the time D is very small, so we can optimize tmp := D*X+Y */
+ if (BN_is_one(D))
+ {
+ if (!BN_add(tmp,X,Y)) goto err;
+ }
+ else
+ {
+ if (BN_is_word(D,2))
+ {
+ if (!BN_lshift1(tmp,X)) goto err;
+ }
+ else if (BN_is_word(D,4))
+ {
+ if (!BN_lshift(tmp,X,2)) goto err;
+ }
+ else if (D->top == 1)
+ {
+ if (!BN_copy(tmp,X)) goto err;
+ if (!BN_mul_word(tmp,D->d[0])) goto err;
+ }
+ else
+ {
+ if (!BN_mul(tmp,D,X,ctx)) goto err;
+ }
+ if (!BN_add(tmp,tmp,Y)) goto err;
+ }
+
+ M=Y; /* keep the BIGNUM object, the value does not matter */
+ Y=X;
+ X=tmp;
+ sign = -sign;
+ }
+ }
+
+ /*
+ * The while loop (Euclid's algorithm) ends when
+ * A == gcd(a,n);
+ * we have
+ * sign*Y*a == A (mod |n|),
+ * where Y is non-negative.
+ */
+
+ if (sign < 0)
+ {
+ if (!BN_sub(Y,n,Y)) goto err;
+ }
+ /* Now Y*a == A (mod |n|). */
+
+
+ if (BN_is_one(A))
+ {
+ /* Y*a == 1 (mod |n|) */
+ if (!Y->neg && BN_ucmp(Y,n) < 0)
+ {
+ if (!BN_copy(R,Y)) goto err;
+ }
+ else
+ {
+ if (!BN_nnmod(R,Y,n,ctx)) goto err;
+ }
+ }
+ else
+ {
+ BNerr(BN_F_BN_MOD_INVERSE,BN_R_NO_INVERSE);
+ goto err;
+ }
+ ret=R;
+err:
+ if ((ret == NULL) && (in == NULL)) BN_free(R);
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return(ret);
+ }
+
+
+/* BN_mod_inverse_no_branch is a special version of BN_mod_inverse.
+ * It does not contain branches that may leak sensitive information.
+ */
+static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in,
+ const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx)
+ {
+ BIGNUM *A,*B,*X,*Y,*M,*D,*T,*R=NULL;
+ BIGNUM local_A, local_B;
+ BIGNUM *pA, *pB;
+ BIGNUM *ret=NULL;
+ int sign;
+
+ bn_check_top(a);
+ bn_check_top(n);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ X = BN_CTX_get(ctx);
+ D = BN_CTX_get(ctx);
+ M = BN_CTX_get(ctx);
+ Y = BN_CTX_get(ctx);
+ T = BN_CTX_get(ctx);
+ if (T == NULL) goto err;
+
+ if (in == NULL)
+ R=BN_new();
+ else
+ R=in;
+ if (R == NULL) goto err;
+
+ BN_one(X);
+ BN_zero(Y);
+ if (BN_copy(B,a) == NULL) goto err;
+ if (BN_copy(A,n) == NULL) goto err;
+ A->neg = 0;
+
+ if (B->neg || (BN_ucmp(B, A) >= 0))
+ {
+ /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ pB = &local_B;
+ BN_with_flags(pB, B, BN_FLG_CONSTTIME);
+ if (!BN_nnmod(B, pB, A, ctx)) goto err;
+ }
+ sign = -1;
+ /* From B = a mod |n|, A = |n| it follows that
+ *
+ * 0 <= B < A,
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ */
+
+ while (!BN_is_zero(B))
+ {
+ BIGNUM *tmp;
+
+ /*
+ * 0 < B < A,
+ * (*) -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|)
+ */
+
+ /* Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked,
+ * BN_div_no_branch will be called eventually.
+ */
+ pA = &local_A;
+ BN_with_flags(pA, A, BN_FLG_CONSTTIME);
+
+ /* (D, M) := (A/B, A%B) ... */
+ if (!BN_div(D,M,pA,B,ctx)) goto err;
+
+ /* Now
+ * A = D*B + M;
+ * thus we have
+ * (**) sign*Y*a == D*B + M (mod |n|).
+ */
+
+ tmp=A; /* keep the BIGNUM object, the value does not matter */
+
+ /* (A, B) := (B, A mod B) ... */
+ A=B;
+ B=M;
+ /* ... so we have 0 <= B < A again */
+
+ /* Since the former M is now B and the former B is now A,
+ * (**) translates into
+ * sign*Y*a == D*A + B (mod |n|),
+ * i.e.
+ * sign*Y*a - D*A == B (mod |n|).
+ * Similarly, (*) translates into
+ * -sign*X*a == A (mod |n|).
+ *
+ * Thus,
+ * sign*Y*a + D*sign*X*a == B (mod |n|),
+ * i.e.
+ * sign*(Y + D*X)*a == B (mod |n|).
+ *
+ * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at
+ * -sign*X*a == B (mod |n|),
+ * sign*Y*a == A (mod |n|).
+ * Note that X and Y stay non-negative all the time.
+ */
+
+ if (!BN_mul(tmp,D,X,ctx)) goto err;
+ if (!BN_add(tmp,tmp,Y)) goto err;
+
+ M=Y; /* keep the BIGNUM object, the value does not matter */
+ Y=X;
+ X=tmp;
+ sign = -sign;
+ }
+
+ /*
+ * The while loop (Euclid's algorithm) ends when
+ * A == gcd(a,n);
+ * we have
+ * sign*Y*a == A (mod |n|),
+ * where Y is non-negative.
+ */
+
+ if (sign < 0)
+ {
+ if (!BN_sub(Y,n,Y)) goto err;
+ }
+ /* Now Y*a == A (mod |n|). */
+
+ if (BN_is_one(A))
+ {
+ /* Y*a == 1 (mod |n|) */
+ if (!Y->neg && BN_ucmp(Y,n) < 0)
+ {
+ if (!BN_copy(R,Y)) goto err;
+ }
+ else
+ {
+ if (!BN_nnmod(R,Y,n,ctx)) goto err;
+ }
+ }
+ else
+ {
+ BNerr(BN_F_BN_MOD_INVERSE_NO_BRANCH,BN_R_NO_INVERSE);
+ goto err;
+ }
+ ret=R;
+err:
+ if ((ret == NULL) && (in == NULL)) BN_free(R);
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return(ret);
+ }
diff --git a/openssl/crypto/bn/bn_gf2m.c b/openssl/crypto/bn/bn_gf2m.c
new file mode 100644
index 00000000..432a3aa3
--- /dev/null
+++ b/openssl/crypto/bn/bn_gf2m.c
@@ -0,0 +1,1035 @@
+/* crypto/bn/bn_gf2m.c */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
+ * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
+ * to the OpenSSL project.
+ *
+ * The ECC Code is licensed pursuant to the OpenSSL open source
+ * license provided below.
+ *
+ * In addition, Sun covenants to all licensees who provide a reciprocal
+ * covenant with respect to their own patents if any, not to sue under
+ * current and future patent claims necessarily infringed by the making,
+ * using, practicing, selling, offering for sale and/or otherwise
+ * disposing of the ECC Code as delivered hereunder (or portions thereof),
+ * provided that such covenant shall not apply:
+ * 1) for code that a licensee deletes from the ECC Code;
+ * 2) separates from the ECC Code; or
+ * 3) for infringements caused by:
+ * i) the modification of the ECC Code or
+ * ii) the combination of the ECC Code with other software or
+ * devices where such combination causes the infringement.
+ *
+ * The software is originally written by Sheueling Chang Shantz and
+ * Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+/* NOTE: This file is licensed pursuant to the OpenSSL license below
+ * and may be modified; but after modifications, the above covenant
+ * may no longer apply! In such cases, the corresponding paragraph
+ * ["In addition, Sun covenants ... causes the infringement."] and
+ * this note can be edited out; but please keep the Sun copyright
+ * notice and attribution. */
+
+/* ====================================================================
+ * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* Maximum number of iterations before BN_GF2m_mod_solve_quad_arr should fail. */
+#define MAX_ITERATIONS 50
+
+static const BN_ULONG SQR_tb[16] =
+ { 0, 1, 4, 5, 16, 17, 20, 21,
+ 64, 65, 68, 69, 80, 81, 84, 85 };
+/* Platform-specific macros to accelerate squaring. */
+#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+#define SQR1(w) \
+ SQR_tb[(w) >> 60 & 0xF] << 56 | SQR_tb[(w) >> 56 & 0xF] << 48 | \
+ SQR_tb[(w) >> 52 & 0xF] << 40 | SQR_tb[(w) >> 48 & 0xF] << 32 | \
+ SQR_tb[(w) >> 44 & 0xF] << 24 | SQR_tb[(w) >> 40 & 0xF] << 16 | \
+ SQR_tb[(w) >> 36 & 0xF] << 8 | SQR_tb[(w) >> 32 & 0xF]
+#define SQR0(w) \
+ SQR_tb[(w) >> 28 & 0xF] << 56 | SQR_tb[(w) >> 24 & 0xF] << 48 | \
+ SQR_tb[(w) >> 20 & 0xF] << 40 | SQR_tb[(w) >> 16 & 0xF] << 32 | \
+ SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
+ SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
+#endif
+#ifdef THIRTY_TWO_BIT
+#define SQR1(w) \
+ SQR_tb[(w) >> 28 & 0xF] << 24 | SQR_tb[(w) >> 24 & 0xF] << 16 | \
+ SQR_tb[(w) >> 20 & 0xF] << 8 | SQR_tb[(w) >> 16 & 0xF]
+#define SQR0(w) \
+ SQR_tb[(w) >> 12 & 0xF] << 24 | SQR_tb[(w) >> 8 & 0xF] << 16 | \
+ SQR_tb[(w) >> 4 & 0xF] << 8 | SQR_tb[(w) & 0xF]
+#endif
+
+/* Product of two polynomials a, b each with degree < BN_BITS2 - 1,
+ * result is a polynomial r with degree < 2 * BN_BITS - 1
+ * The caller MUST ensure that the variables have the right amount
+ * of space allocated.
+ */
+#ifdef THIRTY_TWO_BIT
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
+ {
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[8], top2b = a >> 30;
+ register BN_ULONG a1, a2, a4;
+
+ a1 = a & (0x3FFFFFFF); a2 = a1 << 1; a4 = a2 << 1;
+
+ tab[0] = 0; tab[1] = a1; tab[2] = a2; tab[3] = a1^a2;
+ tab[4] = a4; tab[5] = a1^a4; tab[6] = a2^a4; tab[7] = a1^a2^a4;
+
+ s = tab[b & 0x7]; l = s;
+ s = tab[b >> 3 & 0x7]; l ^= s << 3; h = s >> 29;
+ s = tab[b >> 6 & 0x7]; l ^= s << 6; h ^= s >> 26;
+ s = tab[b >> 9 & 0x7]; l ^= s << 9; h ^= s >> 23;
+ s = tab[b >> 12 & 0x7]; l ^= s << 12; h ^= s >> 20;
+ s = tab[b >> 15 & 0x7]; l ^= s << 15; h ^= s >> 17;
+ s = tab[b >> 18 & 0x7]; l ^= s << 18; h ^= s >> 14;
+ s = tab[b >> 21 & 0x7]; l ^= s << 21; h ^= s >> 11;
+ s = tab[b >> 24 & 0x7]; l ^= s << 24; h ^= s >> 8;
+ s = tab[b >> 27 & 0x7]; l ^= s << 27; h ^= s >> 5;
+ s = tab[b >> 30 ]; l ^= s << 30; h ^= s >> 2;
+
+ /* compensate for the top two bits of a */
+
+ if (top2b & 01) { l ^= b << 30; h ^= b >> 2; }
+ if (top2b & 02) { l ^= b << 31; h ^= b >> 1; }
+
+ *r1 = h; *r0 = l;
+ }
+#endif
+#if defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+static void bn_GF2m_mul_1x1(BN_ULONG *r1, BN_ULONG *r0, const BN_ULONG a, const BN_ULONG b)
+ {
+ register BN_ULONG h, l, s;
+ BN_ULONG tab[16], top3b = a >> 61;
+ register BN_ULONG a1, a2, a4, a8;
+
+ a1 = a & (0x1FFFFFFFFFFFFFFFULL); a2 = a1 << 1; a4 = a2 << 1; a8 = a4 << 1;
+
+ tab[ 0] = 0; tab[ 1] = a1; tab[ 2] = a2; tab[ 3] = a1^a2;
+ tab[ 4] = a4; tab[ 5] = a1^a4; tab[ 6] = a2^a4; tab[ 7] = a1^a2^a4;
+ tab[ 8] = a8; tab[ 9] = a1^a8; tab[10] = a2^a8; tab[11] = a1^a2^a8;
+ tab[12] = a4^a8; tab[13] = a1^a4^a8; tab[14] = a2^a4^a8; tab[15] = a1^a2^a4^a8;
+
+ s = tab[b & 0xF]; l = s;
+ s = tab[b >> 4 & 0xF]; l ^= s << 4; h = s >> 60;
+ s = tab[b >> 8 & 0xF]; l ^= s << 8; h ^= s >> 56;
+ s = tab[b >> 12 & 0xF]; l ^= s << 12; h ^= s >> 52;
+ s = tab[b >> 16 & 0xF]; l ^= s << 16; h ^= s >> 48;
+ s = tab[b >> 20 & 0xF]; l ^= s << 20; h ^= s >> 44;
+ s = tab[b >> 24 & 0xF]; l ^= s << 24; h ^= s >> 40;
+ s = tab[b >> 28 & 0xF]; l ^= s << 28; h ^= s >> 36;
+ s = tab[b >> 32 & 0xF]; l ^= s << 32; h ^= s >> 32;
+ s = tab[b >> 36 & 0xF]; l ^= s << 36; h ^= s >> 28;
+ s = tab[b >> 40 & 0xF]; l ^= s << 40; h ^= s >> 24;
+ s = tab[b >> 44 & 0xF]; l ^= s << 44; h ^= s >> 20;
+ s = tab[b >> 48 & 0xF]; l ^= s << 48; h ^= s >> 16;
+ s = tab[b >> 52 & 0xF]; l ^= s << 52; h ^= s >> 12;
+ s = tab[b >> 56 & 0xF]; l ^= s << 56; h ^= s >> 8;
+ s = tab[b >> 60 ]; l ^= s << 60; h ^= s >> 4;
+
+ /* compensate for the top three bits of a */
+
+ if (top3b & 01) { l ^= b << 61; h ^= b >> 3; }
+ if (top3b & 02) { l ^= b << 62; h ^= b >> 2; }
+ if (top3b & 04) { l ^= b << 63; h ^= b >> 1; }
+
+ *r1 = h; *r0 = l;
+ }
+#endif
+
+/* Product of two polynomials a, b each with degree < 2 * BN_BITS2 - 1,
+ * result is a polynomial r with degree < 4 * BN_BITS2 - 1
+ * The caller MUST ensure that the variables have the right amount
+ * of space allocated.
+ */
+static void bn_GF2m_mul_2x2(BN_ULONG *r, const BN_ULONG a1, const BN_ULONG a0, const BN_ULONG b1, const BN_ULONG b0)
+ {
+ BN_ULONG m1, m0;
+ /* r[3] = h1, r[2] = h0; r[1] = l1; r[0] = l0 */
+ bn_GF2m_mul_1x1(r+3, r+2, a1, b1);
+ bn_GF2m_mul_1x1(r+1, r, a0, b0);
+ bn_GF2m_mul_1x1(&m1, &m0, a0 ^ a1, b0 ^ b1);
+ /* Correction on m1 ^= l1 ^ h1; m0 ^= l0 ^ h0; */
+ r[2] ^= m1 ^ r[1] ^ r[3]; /* h0 ^= m1 ^ l1 ^ h1; */
+ r[1] = r[3] ^ r[2] ^ r[0] ^ m1 ^ m0; /* l1 ^= l0 ^ h0 ^ m0; */
+ }
+
+
+/* Add polynomials a and b and store result in r; r could be a or b, a and b
+ * could be equal; r is the bitwise XOR of a and b.
+ */
+int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ const BIGNUM *at, *bt;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->top < b->top) { at = b; bt = a; }
+ else { at = a; bt = b; }
+
+ if(bn_wexpand(r, at->top) == NULL)
+ return 0;
+
+ for (i = 0; i < bt->top; i++)
+ {
+ r->d[i] = at->d[i] ^ bt->d[i];
+ }
+ for (; i < at->top; i++)
+ {
+ r->d[i] = at->d[i];
+ }
+
+ r->top = at->top;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+
+/* Some functions allow for representation of the irreducible polynomials
+ * as an int[], say p. The irreducible f(t) is then of the form:
+ * t^p[0] + t^p[1] + ... + t^p[k]
+ * where m = p[0] > p[1] > ... > p[k] = 0.
+ */
+
+
+/* Performs modular reduction of a and store result in r. r could be a. */
+int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[])
+ {
+ int j, k;
+ int n, dN, d0, d1;
+ BN_ULONG zz, *z;
+
+ bn_check_top(a);
+
+ if (!p[0])
+ {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ /* Since the algorithm does reduction in the r value, if a != r, copy
+ * the contents of a into r so we can do reduction in r.
+ */
+ if (a != r)
+ {
+ if (!bn_wexpand(r, a->top)) return 0;
+ for (j = 0; j < a->top; j++)
+ {
+ r->d[j] = a->d[j];
+ }
+ r->top = a->top;
+ }
+ z = r->d;
+
+ /* start reduction */
+ dN = p[0] / BN_BITS2;
+ for (j = r->top - 1; j > dN;)
+ {
+ zz = z[j];
+ if (z[j] == 0) { j--; continue; }
+ z[j] = 0;
+
+ for (k = 1; p[k] != 0; k++)
+ {
+ /* reducing component t^p[k] */
+ n = p[0] - p[k];
+ d0 = n % BN_BITS2; d1 = BN_BITS2 - d0;
+ n /= BN_BITS2;
+ z[j-n] ^= (zz>>d0);
+ if (d0) z[j-n-1] ^= (zz<<d1);
+ }
+
+ /* reducing component t^0 */
+ n = dN;
+ d0 = p[0] % BN_BITS2;
+ d1 = BN_BITS2 - d0;
+ z[j-n] ^= (zz >> d0);
+ if (d0) z[j-n-1] ^= (zz << d1);
+ }
+
+ /* final round of reduction */
+ while (j == dN)
+ {
+
+ d0 = p[0] % BN_BITS2;
+ zz = z[dN] >> d0;
+ if (zz == 0) break;
+ d1 = BN_BITS2 - d0;
+
+ /* clear up the top d1 bits */
+ if (d0)
+ z[dN] = (z[dN] << d1) >> d1;
+ else
+ z[dN] = 0;
+ z[0] ^= zz; /* reduction t^0 component */
+
+ for (k = 1; p[k] != 0; k++)
+ {
+ BN_ULONG tmp_ulong;
+
+ /* reducing component t^p[k]*/
+ n = p[k] / BN_BITS2;
+ d0 = p[k] % BN_BITS2;
+ d1 = BN_BITS2 - d0;
+ z[n] ^= (zz << d0);
+ tmp_ulong = zz >> d1;
+ if (d0 && tmp_ulong)
+ z[n+1] ^= tmp_ulong;
+ }
+
+
+ }
+
+ bn_correct_top(r);
+ return 1;
+ }
+
+/* Performs modular reduction of a by p and store result in r. r could be a.
+ *
+ * This function calls down to the BN_GF2m_mod_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_arr function.
+ */
+int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_arr(r, a, arr);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+
+/* Compute the product of two polynomials a and b, reduce modulo p, and store
+ * the result in r. r could be a or b; a could be b.
+ */
+int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
+ {
+ int zlen, i, j, k, ret = 0;
+ BIGNUM *s;
+ BN_ULONG x1, x0, y1, y0, zz[4];
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a == b)
+ {
+ return BN_GF2m_mod_sqr_arr(r, a, p, ctx);
+ }
+
+ BN_CTX_start(ctx);
+ if ((s = BN_CTX_get(ctx)) == NULL) goto err;
+
+ zlen = a->top + b->top + 4;
+ if (!bn_wexpand(s, zlen)) goto err;
+ s->top = zlen;
+
+ for (i = 0; i < zlen; i++) s->d[i] = 0;
+
+ for (j = 0; j < b->top; j += 2)
+ {
+ y0 = b->d[j];
+ y1 = ((j+1) == b->top) ? 0 : b->d[j+1];
+ for (i = 0; i < a->top; i += 2)
+ {
+ x0 = a->d[i];
+ x1 = ((i+1) == a->top) ? 0 : a->d[i+1];
+ bn_GF2m_mul_2x2(zz, x1, x0, y1, y0);
+ for (k = 0; k < 4; k++) s->d[i+j+k] ^= zz[k];
+ }
+ }
+
+ bn_correct_top(s);
+ if (BN_GF2m_mod_arr(r, s, p))
+ ret = 1;
+ bn_check_top(r);
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the product of two polynomials a and b, reduce modulo p, and store
+ * the result in r. r could be a or b; a could equal b.
+ *
+ * This function calls down to the BN_GF2m_mod_mul_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_mul_arr function.
+ */
+int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD_MUL,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_mul_arr(r, a, b, arr, ctx);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+
+/* Square a, reduce the result mod p, and store it in a. r could be a. */
+int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
+ {
+ int i, ret = 0;
+ BIGNUM *s;
+
+ bn_check_top(a);
+ BN_CTX_start(ctx);
+ if ((s = BN_CTX_get(ctx)) == NULL) return 0;
+ if (!bn_wexpand(s, 2 * a->top)) goto err;
+
+ for (i = a->top - 1; i >= 0; i--)
+ {
+ s->d[2*i+1] = SQR1(a->d[i]);
+ s->d[2*i ] = SQR0(a->d[i]);
+ }
+
+ s->top = 2 * a->top;
+ bn_correct_top(s);
+ if (!BN_GF2m_mod_arr(r, s, p)) goto err;
+ bn_check_top(r);
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Square a, reduce the result mod p, and store it in a. r could be a.
+ *
+ * This function calls down to the BN_GF2m_mod_sqr_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_sqr_arr function.
+ */
+int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD_SQR,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_sqr_arr(r, a, arr, ctx);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+
+/* Invert a, reduce modulo p, and store the result in r. r could be a.
+ * Uses Modified Almost Inverse Algorithm (Algorithm 10) from
+ * Hankerson, D., Hernandez, J.L., and Menezes, A. "Software Implementation
+ * of Elliptic Curve Cryptography Over Binary Fields".
+ */
+int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ {
+ BIGNUM *b, *c, *u, *v, *tmp;
+ int ret = 0;
+
+ bn_check_top(a);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+
+ b = BN_CTX_get(ctx);
+ c = BN_CTX_get(ctx);
+ u = BN_CTX_get(ctx);
+ v = BN_CTX_get(ctx);
+ if (v == NULL) goto err;
+
+ if (!BN_one(b)) goto err;
+ if (!BN_GF2m_mod(u, a, p)) goto err;
+ if (!BN_copy(v, p)) goto err;
+
+ if (BN_is_zero(u)) goto err;
+
+ while (1)
+ {
+ while (!BN_is_odd(u))
+ {
+ if (BN_is_zero(u)) goto err;
+ if (!BN_rshift1(u, u)) goto err;
+ if (BN_is_odd(b))
+ {
+ if (!BN_GF2m_add(b, b, p)) goto err;
+ }
+ if (!BN_rshift1(b, b)) goto err;
+ }
+
+ if (BN_abs_is_word(u, 1)) break;
+
+ if (BN_num_bits(u) < BN_num_bits(v))
+ {
+ tmp = u; u = v; v = tmp;
+ tmp = b; b = c; c = tmp;
+ }
+
+ if (!BN_GF2m_add(u, u, v)) goto err;
+ if (!BN_GF2m_add(b, b, c)) goto err;
+ }
+
+
+ if (!BN_copy(r, b)) goto err;
+ bn_check_top(r);
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Invert xx, reduce modulo p, and store the result in r. r could be xx.
+ *
+ * This function calls down to the BN_GF2m_mod_inv implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_inv function.
+ */
+int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *xx, const int p[], BN_CTX *ctx)
+ {
+ BIGNUM *field;
+ int ret = 0;
+
+ bn_check_top(xx);
+ BN_CTX_start(ctx);
+ if ((field = BN_CTX_get(ctx)) == NULL) goto err;
+ if (!BN_GF2m_arr2poly(p, field)) goto err;
+
+ ret = BN_GF2m_mod_inv(r, xx, field, ctx);
+ bn_check_top(r);
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+
+#ifndef OPENSSL_SUN_GF2M_DIV
+/* Divide y by x, reduce modulo p, and store the result in r. r could be x
+ * or y, x could equal y.
+ */
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
+ {
+ BIGNUM *xinv = NULL;
+ int ret = 0;
+
+ bn_check_top(y);
+ bn_check_top(x);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+ xinv = BN_CTX_get(ctx);
+ if (xinv == NULL) goto err;
+
+ if (!BN_GF2m_mod_inv(xinv, x, p, ctx)) goto err;
+ if (!BN_GF2m_mod_mul(r, y, xinv, p, ctx)) goto err;
+ bn_check_top(r);
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+#else
+/* Divide y by x, reduce modulo p, and store the result in r. r could be x
+ * or y, x could equal y.
+ * Uses algorithm Modular_Division_GF(2^m) from
+ * Chang-Shantz, S. "From Euclid's GCD to Montgomery Multiplication to
+ * the Great Divide".
+ */
+int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *y, const BIGNUM *x, const BIGNUM *p, BN_CTX *ctx)
+ {
+ BIGNUM *a, *b, *u, *v;
+ int ret = 0;
+
+ bn_check_top(y);
+ bn_check_top(x);
+ bn_check_top(p);
+
+ BN_CTX_start(ctx);
+
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ u = BN_CTX_get(ctx);
+ v = BN_CTX_get(ctx);
+ if (v == NULL) goto err;
+
+ /* reduce x and y mod p */
+ if (!BN_GF2m_mod(u, y, p)) goto err;
+ if (!BN_GF2m_mod(a, x, p)) goto err;
+ if (!BN_copy(b, p)) goto err;
+
+ while (!BN_is_odd(a))
+ {
+ if (!BN_rshift1(a, a)) goto err;
+ if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
+ if (!BN_rshift1(u, u)) goto err;
+ }
+
+ do
+ {
+ if (BN_GF2m_cmp(b, a) > 0)
+ {
+ if (!BN_GF2m_add(b, b, a)) goto err;
+ if (!BN_GF2m_add(v, v, u)) goto err;
+ do
+ {
+ if (!BN_rshift1(b, b)) goto err;
+ if (BN_is_odd(v)) if (!BN_GF2m_add(v, v, p)) goto err;
+ if (!BN_rshift1(v, v)) goto err;
+ } while (!BN_is_odd(b));
+ }
+ else if (BN_abs_is_word(a, 1))
+ break;
+ else
+ {
+ if (!BN_GF2m_add(a, a, b)) goto err;
+ if (!BN_GF2m_add(u, u, v)) goto err;
+ do
+ {
+ if (!BN_rshift1(a, a)) goto err;
+ if (BN_is_odd(u)) if (!BN_GF2m_add(u, u, p)) goto err;
+ if (!BN_rshift1(u, u)) goto err;
+ } while (!BN_is_odd(a));
+ }
+ } while (1);
+
+ if (!BN_copy(r, u)) goto err;
+ bn_check_top(r);
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+#endif
+
+/* Divide yy by xx, reduce modulo p, and store the result in r. r could be xx
+ * or yy, xx could equal yy.
+ *
+ * This function calls down to the BN_GF2m_mod_div implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_div function.
+ */
+int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *yy, const BIGNUM *xx, const int p[], BN_CTX *ctx)
+ {
+ BIGNUM *field;
+ int ret = 0;
+
+ bn_check_top(yy);
+ bn_check_top(xx);
+
+ BN_CTX_start(ctx);
+ if ((field = BN_CTX_get(ctx)) == NULL) goto err;
+ if (!BN_GF2m_arr2poly(p, field)) goto err;
+
+ ret = BN_GF2m_mod_div(r, yy, xx, field, ctx);
+ bn_check_top(r);
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+
+/* Compute the bth power of a, reduce modulo p, and store
+ * the result in r. r could be a.
+ * Uses simple square-and-multiply algorithm A.5.1 from IEEE P1363.
+ */
+int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const int p[], BN_CTX *ctx)
+ {
+ int ret = 0, i, n;
+ BIGNUM *u;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (BN_is_zero(b))
+ return(BN_one(r));
+
+ if (BN_abs_is_word(b, 1))
+ return (BN_copy(r, a) != NULL);
+
+ BN_CTX_start(ctx);
+ if ((u = BN_CTX_get(ctx)) == NULL) goto err;
+
+ if (!BN_GF2m_mod_arr(u, a, p)) goto err;
+
+ n = BN_num_bits(b) - 1;
+ for (i = n - 1; i >= 0; i--)
+ {
+ if (!BN_GF2m_mod_sqr_arr(u, u, p, ctx)) goto err;
+ if (BN_is_bit_set(b, i))
+ {
+ if (!BN_GF2m_mod_mul_arr(u, u, a, p, ctx)) goto err;
+ }
+ }
+ if (!BN_copy(r, u)) goto err;
+ bn_check_top(r);
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the bth power of a, reduce modulo p, and store
+ * the result in r. r could be a.
+ *
+ * This function calls down to the BN_GF2m_mod_exp_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_exp_arr function.
+ */
+int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD_EXP,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_exp_arr(r, a, b, arr, ctx);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+/* Compute the square root of a, reduce modulo p, and store
+ * the result in r. r could be a.
+ * Uses exponentiation as in algorithm A.4.1 from IEEE P1363.
+ */
+int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, const int p[], BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *u;
+
+ bn_check_top(a);
+
+ if (!p[0])
+ {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ if ((u = BN_CTX_get(ctx)) == NULL) goto err;
+
+ if (!BN_set_bit(u, p[0] - 1)) goto err;
+ ret = BN_GF2m_mod_exp_arr(r, a, u, p, ctx);
+ bn_check_top(r);
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the square root of a, reduce modulo p, and store
+ * the result in r. r could be a.
+ *
+ * This function calls down to the BN_GF2m_mod_sqrt_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_sqrt_arr function.
+ */
+int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) * max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD_SQRT,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_sqrt_arr(r, a, arr, ctx);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0.
+ * Uses algorithms A.4.7 and A.4.6 from IEEE P1363.
+ */
+int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a_, const int p[], BN_CTX *ctx)
+ {
+ int ret = 0, count = 0, j;
+ BIGNUM *a, *z, *rho, *w, *w2, *tmp;
+
+ bn_check_top(a_);
+
+ if (!p[0])
+ {
+ /* reduction mod 1 => return 0 */
+ BN_zero(r);
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ z = BN_CTX_get(ctx);
+ w = BN_CTX_get(ctx);
+ if (w == NULL) goto err;
+
+ if (!BN_GF2m_mod_arr(a, a_, p)) goto err;
+
+ if (BN_is_zero(a))
+ {
+ BN_zero(r);
+ ret = 1;
+ goto err;
+ }
+
+ if (p[0] & 0x1) /* m is odd */
+ {
+ /* compute half-trace of a */
+ if (!BN_copy(z, a)) goto err;
+ for (j = 1; j <= (p[0] - 1) / 2; j++)
+ {
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
+ if (!BN_GF2m_add(z, z, a)) goto err;
+ }
+
+ }
+ else /* m is even */
+ {
+ rho = BN_CTX_get(ctx);
+ w2 = BN_CTX_get(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL) goto err;
+ do
+ {
+ if (!BN_rand(rho, p[0], 0, 0)) goto err;
+ if (!BN_GF2m_mod_arr(rho, rho, p)) goto err;
+ BN_zero(z);
+ if (!BN_copy(w, rho)) goto err;
+ for (j = 1; j <= p[0] - 1; j++)
+ {
+ if (!BN_GF2m_mod_sqr_arr(z, z, p, ctx)) goto err;
+ if (!BN_GF2m_mod_sqr_arr(w2, w, p, ctx)) goto err;
+ if (!BN_GF2m_mod_mul_arr(tmp, w2, a, p, ctx)) goto err;
+ if (!BN_GF2m_add(z, z, tmp)) goto err;
+ if (!BN_GF2m_add(w, w2, rho)) goto err;
+ }
+ count++;
+ } while (BN_is_zero(w) && (count < MAX_ITERATIONS));
+ if (BN_is_zero(w))
+ {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR,BN_R_TOO_MANY_ITERATIONS);
+ goto err;
+ }
+ }
+
+ if (!BN_GF2m_mod_sqr_arr(w, z, p, ctx)) goto err;
+ if (!BN_GF2m_add(w, z, w)) goto err;
+ if (BN_GF2m_cmp(w, a))
+ {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR, BN_R_NO_SOLUTION);
+ goto err;
+ }
+
+ if (!BN_copy(r, z)) goto err;
+ bn_check_top(r);
+
+ ret = 1;
+
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Find r such that r^2 + r = a mod p. r could be a. If no r exists returns 0.
+ *
+ * This function calls down to the BN_GF2m_mod_solve_quad_arr implementation; this wrapper
+ * function is only provided for convenience; for best performance, use the
+ * BN_GF2m_mod_solve_quad_arr function.
+ */
+int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+ {
+ int ret = 0;
+ const int max = BN_num_bits(p) + 1;
+ int *arr=NULL;
+ bn_check_top(a);
+ bn_check_top(p);
+ if ((arr = (int *)OPENSSL_malloc(sizeof(int) *
+ max)) == NULL) goto err;
+ ret = BN_GF2m_poly2arr(p, arr, max);
+ if (!ret || ret > max)
+ {
+ BNerr(BN_F_BN_GF2M_MOD_SOLVE_QUAD,BN_R_INVALID_LENGTH);
+ goto err;
+ }
+ ret = BN_GF2m_mod_solve_quad_arr(r, a, arr, ctx);
+ bn_check_top(r);
+err:
+ if (arr) OPENSSL_free(arr);
+ return ret;
+ }
+
+/* Convert the bit-string representation of a polynomial
+ * ( \sum_{i=0}^n a_i * x^i) into an array of integers corresponding
+ * to the bits with non-zero coefficient. Array is terminated with -1.
+ * Up to max elements of the array will be filled. Return value is total
+ * number of array elements that would be filled if array was large enough.
+ */
+int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max)
+ {
+ int i, j, k = 0;
+ BN_ULONG mask;
+
+ if (BN_is_zero(a))
+ return 0;
+
+ for (i = a->top - 1; i >= 0; i--)
+ {
+ if (!a->d[i])
+ /* skip word if a->d[i] == 0 */
+ continue;
+ mask = BN_TBIT;
+ for (j = BN_BITS2 - 1; j >= 0; j--)
+ {
+ if (a->d[i] & mask)
+ {
+ if (k < max) p[k] = BN_BITS2 * i + j;
+ k++;
+ }
+ mask >>= 1;
+ }
+ }
+
+ if (k < max) {
+ p[k] = -1;
+ k++;
+ }
+
+ return k;
+ }
+
+/* Convert the coefficient array representation of a polynomial to a
+ * bit-string. The array must be terminated by -1.
+ */
+int BN_GF2m_arr2poly(const int p[], BIGNUM *a)
+ {
+ int i;
+
+ bn_check_top(a);
+ BN_zero(a);
+ for (i = 0; p[i] != -1; i++)
+ {
+ if (BN_set_bit(a, p[i]) == 0)
+ return 0;
+ }
+ bn_check_top(a);
+
+ return 1;
+ }
+
diff --git a/openssl/crypto/bn/bn_kron.c b/openssl/crypto/bn/bn_kron.c
new file mode 100644
index 00000000..740359b7
--- /dev/null
+++ b/openssl/crypto/bn/bn_kron.c
@@ -0,0 +1,184 @@
+/* crypto/bn/bn_kron.c */
+/* ====================================================================
+ * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* least significant word */
+#define BN_lsw(n) (((n)->top == 0) ? (BN_ULONG) 0 : (n)->d[0])
+
+/* Returns -2 for errors because both -1 and 0 are valid results. */
+int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int i;
+ int ret = -2; /* avoid 'uninitialized' warning */
+ int err = 0;
+ BIGNUM *A, *B, *tmp;
+ /* In 'tab', only odd-indexed entries are relevant:
+ * For any odd BIGNUM n,
+ * tab[BN_lsw(n) & 7]
+ * is $(-1)^{(n^2-1)/8}$ (using TeX notation).
+ * Note that the sign of n does not matter.
+ */
+ static const int tab[8] = {0, 1, 0, -1, 0, -1, 0, 1};
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ B = BN_CTX_get(ctx);
+ if (B == NULL) goto end;
+
+ err = !BN_copy(A, a);
+ if (err) goto end;
+ err = !BN_copy(B, b);
+ if (err) goto end;
+
+ /*
+ * Kronecker symbol, imlemented according to Henri Cohen,
+ * "A Course in Computational Algebraic Number Theory"
+ * (algorithm 1.4.10).
+ */
+
+ /* Cohen's step 1: */
+
+ if (BN_is_zero(B))
+ {
+ ret = BN_abs_is_word(A, 1);
+ goto end;
+ }
+
+ /* Cohen's step 2: */
+
+ if (!BN_is_odd(A) && !BN_is_odd(B))
+ {
+ ret = 0;
+ goto end;
+ }
+
+ /* now B is non-zero */
+ i = 0;
+ while (!BN_is_bit_set(B, i))
+ i++;
+ err = !BN_rshift(B, B, i);
+ if (err) goto end;
+ if (i & 1)
+ {
+ /* i is odd */
+ /* (thus B was even, thus A must be odd!) */
+
+ /* set 'ret' to $(-1)^{(A^2-1)/8}$ */
+ ret = tab[BN_lsw(A) & 7];
+ }
+ else
+ {
+ /* i is even */
+ ret = 1;
+ }
+
+ if (B->neg)
+ {
+ B->neg = 0;
+ if (A->neg)
+ ret = -ret;
+ }
+
+ /* now B is positive and odd, so what remains to be done is
+ * to compute the Jacobi symbol (A/B) and multiply it by 'ret' */
+
+ while (1)
+ {
+ /* Cohen's step 3: */
+
+ /* B is positive and odd */
+
+ if (BN_is_zero(A))
+ {
+ ret = BN_is_one(B) ? ret : 0;
+ goto end;
+ }
+
+ /* now A is non-zero */
+ i = 0;
+ while (!BN_is_bit_set(A, i))
+ i++;
+ err = !BN_rshift(A, A, i);
+ if (err) goto end;
+ if (i & 1)
+ {
+ /* i is odd */
+ /* multiply 'ret' by $(-1)^{(B^2-1)/8}$ */
+ ret = ret * tab[BN_lsw(B) & 7];
+ }
+
+ /* Cohen's step 4: */
+ /* multiply 'ret' by $(-1)^{(A-1)(B-1)/4}$ */
+ if ((A->neg ? ~BN_lsw(A) : BN_lsw(A)) & BN_lsw(B) & 2)
+ ret = -ret;
+
+ /* (A, B) := (B mod |A|, |A|) */
+ err = !BN_nnmod(B, B, A, ctx);
+ if (err) goto end;
+ tmp = A; A = B; B = tmp;
+ tmp->neg = 0;
+ }
+end:
+ BN_CTX_end(ctx);
+ if (err)
+ return -2;
+ else
+ return ret;
+ }
diff --git a/openssl/crypto/bn/bn_lcl.h b/openssl/crypto/bn/bn_lcl.h
new file mode 100644
index 00000000..8e5e98e3
--- /dev/null
+++ b/openssl/crypto/bn/bn_lcl.h
@@ -0,0 +1,491 @@
+/* crypto/bn/bn_lcl.h */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#ifndef HEADER_BN_LCL_H
+#define HEADER_BN_LCL_H
+
+#include <openssl/bn.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+/*
+ * BN_window_bits_for_exponent_size -- macro for sliding window mod_exp functions
+ *
+ *
+ * For window size 'w' (w >= 2) and a random 'b' bits exponent,
+ * the number of multiplications is a constant plus on average
+ *
+ * 2^(w-1) + (b-w)/(w+1);
+ *
+ * here 2^(w-1) is for precomputing the table (we actually need
+ * entries only for windows that have the lowest bit set), and
+ * (b-w)/(w+1) is an approximation for the expected number of
+ * w-bit windows, not counting the first one.
+ *
+ * Thus we should use
+ *
+ * w >= 6 if b > 671
+ * w = 5 if 671 > b > 239
+ * w = 4 if 239 > b > 79
+ * w = 3 if 79 > b > 23
+ * w <= 2 if 23 > b
+ *
+ * (with draws in between). Very small exponents are often selected
+ * with low Hamming weight, so we use w = 1 for b <= 23.
+ */
+#if 1
+#define BN_window_bits_for_exponent_size(b) \
+ ((b) > 671 ? 6 : \
+ (b) > 239 ? 5 : \
+ (b) > 79 ? 4 : \
+ (b) > 23 ? 3 : 1)
+#else
+/* Old SSLeay/OpenSSL table.
+ * Maximum window size was 5, so this table differs for b==1024;
+ * but it coincides for other interesting values (b==160, b==512).
+ */
+#define BN_window_bits_for_exponent_size(b) \
+ ((b) > 255 ? 5 : \
+ (b) > 127 ? 4 : \
+ (b) > 17 ? 3 : 1)
+#endif
+
+
+
+/* BN_mod_exp_mont_conttime is based on the assumption that the
+ * L1 data cache line width of the target processor is at least
+ * the following value.
+ */
+#define MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH ( 64 )
+#define MOD_EXP_CTIME_MIN_CACHE_LINE_MASK (MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH - 1)
+
+/* Window sizes optimized for fixed window size modular exponentiation
+ * algorithm (BN_mod_exp_mont_consttime).
+ *
+ * To achieve the security goals of BN_mode_exp_mont_consttime, the
+ * maximum size of the window must not exceed
+ * log_2(MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH).
+ *
+ * Window size thresholds are defined for cache line sizes of 32 and 64,
+ * cache line sizes where log_2(32)=5 and log_2(64)=6 respectively. A
+ * window size of 7 should only be used on processors that have a 128
+ * byte or greater cache line size.
+ */
+#if MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 64
+
+# define BN_window_bits_for_ctime_exponent_size(b) \
+ ((b) > 937 ? 6 : \
+ (b) > 306 ? 5 : \
+ (b) > 89 ? 4 : \
+ (b) > 22 ? 3 : 1)
+# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (6)
+
+#elif MOD_EXP_CTIME_MIN_CACHE_LINE_WIDTH == 32
+
+# define BN_window_bits_for_ctime_exponent_size(b) \
+ ((b) > 306 ? 5 : \
+ (b) > 89 ? 4 : \
+ (b) > 22 ? 3 : 1)
+# define BN_MAX_WINDOW_BITS_FOR_CTIME_EXPONENT_SIZE (5)
+
+#endif
+
+
+/* Pentium pro 16,16,16,32,64 */
+/* Alpha 16,16,16,16.64 */
+#define BN_MULL_SIZE_NORMAL (16) /* 32 */
+#define BN_MUL_RECURSIVE_SIZE_NORMAL (16) /* 32 less than */
+#define BN_SQR_RECURSIVE_SIZE_NORMAL (16) /* 32 */
+#define BN_MUL_LOW_RECURSIVE_SIZE_NORMAL (32) /* 32 */
+#define BN_MONT_CTX_SET_SIZE_WORD (64) /* 32 */
+
+#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) && !defined(PEDANTIC)
+/*
+ * BN_UMULT_HIGH section.
+ *
+ * No, I'm not trying to overwhelm you when stating that the
+ * product of N-bit numbers is 2*N bits wide:-) No, I don't expect
+ * you to be impressed when I say that if the compiler doesn't
+ * support 2*N integer type, then you have to replace every N*N
+ * multiplication with 4 (N/2)*(N/2) accompanied by some shifts
+ * and additions which unavoidably results in severe performance
+ * penalties. Of course provided that the hardware is capable of
+ * producing 2*N result... That's when you normally start
+ * considering assembler implementation. However! It should be
+ * pointed out that some CPUs (most notably Alpha, PowerPC and
+ * upcoming IA-64 family:-) provide *separate* instruction
+ * calculating the upper half of the product placing the result
+ * into a general purpose register. Now *if* the compiler supports
+ * inline assembler, then it's not impossible to implement the
+ * "bignum" routines (and have the compiler optimize 'em)
+ * exhibiting "native" performance in C. That's what BN_UMULT_HIGH
+ * macro is about:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+# if defined(__alpha) && (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
+# if defined(__DECC)
+# include <c_asm.h>
+# define BN_UMULT_HIGH(a,b) (BN_ULONG)asm("umulh %a0,%a1,%v0",(a),(b))
+# elif defined(__GNUC__)
+# define BN_UMULT_HIGH(a,b) ({ \
+ register BN_ULONG ret; \
+ asm ("umulh %1,%2,%0" \
+ : "=r"(ret) \
+ : "r"(a), "r"(b)); \
+ ret; })
+# endif /* compiler */
+# elif defined(_ARCH_PPC) && defined(__64BIT__) && defined(SIXTY_FOUR_BIT_LONG)
+# if defined(__GNUC__)
+# define BN_UMULT_HIGH(a,b) ({ \
+ register BN_ULONG ret; \
+ asm ("mulhdu %0,%1,%2" \
+ : "=r"(ret) \
+ : "r"(a), "r"(b)); \
+ ret; })
+# endif /* compiler */
+# elif (defined(__x86_64) || defined(__x86_64__)) && \
+ (defined(SIXTY_FOUR_BIT_LONG) || defined(SIXTY_FOUR_BIT))
+# if defined(__GNUC__)
+# define BN_UMULT_HIGH(a,b) ({ \
+ register BN_ULONG ret,discard; \
+ asm ("mulq %3" \
+ : "=a"(discard),"=d"(ret) \
+ : "a"(a), "g"(b) \
+ : "cc"); \
+ ret; })
+# define BN_UMULT_LOHI(low,high,a,b) \
+ asm ("mulq %3" \
+ : "=a"(low),"=d"(high) \
+ : "a"(a),"g"(b) \
+ : "cc");
+# endif
+# elif (defined(_M_AMD64) || defined(_M_X64)) && defined(SIXTY_FOUR_BIT)
+# if defined(_MSC_VER) && _MSC_VER>=1400
+ unsigned __int64 __umulh (unsigned __int64 a,unsigned __int64 b);
+ unsigned __int64 _umul128 (unsigned __int64 a,unsigned __int64 b,
+ unsigned __int64 *h);
+# pragma intrinsic(__umulh,_umul128)
+# define BN_UMULT_HIGH(a,b) __umulh((a),(b))
+# define BN_UMULT_LOHI(low,high,a,b) ((low)=_umul128((a),(b),&(high)))
+# endif
+# endif /* cpu */
+#endif /* OPENSSL_NO_ASM */
+
+/*************************************************************
+ * Using the long long type
+ */
+#define Lw(t) (((BN_ULONG)(t))&BN_MASK2)
+#define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2)
+
+#ifdef BN_DEBUG_RAND
+#define bn_clear_top2max(a) \
+ { \
+ int ind = (a)->dmax - (a)->top; \
+ BN_ULONG *ftl = &(a)->d[(a)->top-1]; \
+ for (; ind != 0; ind--) \
+ *(++ftl) = 0x0; \
+ }
+#else
+#define bn_clear_top2max(a)
+#endif
+
+#ifdef BN_LLONG
+#define mul_add(r,a,w,c) { \
+ BN_ULLONG t; \
+ t=(BN_ULLONG)w * (a) + (r) + (c); \
+ (r)= Lw(t); \
+ (c)= Hw(t); \
+ }
+
+#define mul(r,a,w,c) { \
+ BN_ULLONG t; \
+ t=(BN_ULLONG)w * (a) + (c); \
+ (r)= Lw(t); \
+ (c)= Hw(t); \
+ }
+
+#define sqr(r0,r1,a) { \
+ BN_ULLONG t; \
+ t=(BN_ULLONG)(a)*(a); \
+ (r0)=Lw(t); \
+ (r1)=Hw(t); \
+ }
+
+#elif defined(BN_UMULT_LOHI)
+#define mul_add(r,a,w,c) { \
+ BN_ULONG high,low,ret,tmp=(a); \
+ ret = (r); \
+ BN_UMULT_LOHI(low,high,w,tmp); \
+ ret += (c); \
+ (c) = (ret<(c))?1:0; \
+ (c) += high; \
+ ret += low; \
+ (c) += (ret<low)?1:0; \
+ (r) = ret; \
+ }
+
+#define mul(r,a,w,c) { \
+ BN_ULONG high,low,ret,ta=(a); \
+ BN_UMULT_LOHI(low,high,w,ta); \
+ ret = low + (c); \
+ (c) = high; \
+ (c) += (ret<low)?1:0; \
+ (r) = ret; \
+ }
+
+#define sqr(r0,r1,a) { \
+ BN_ULONG tmp=(a); \
+ BN_UMULT_LOHI(r0,r1,tmp,tmp); \
+ }
+
+#elif defined(BN_UMULT_HIGH)
+#define mul_add(r,a,w,c) { \
+ BN_ULONG high,low,ret,tmp=(a); \
+ ret = (r); \
+ high= BN_UMULT_HIGH(w,tmp); \
+ ret += (c); \
+ low = (w) * tmp; \
+ (c) = (ret<(c))?1:0; \
+ (c) += high; \
+ ret += low; \
+ (c) += (ret<low)?1:0; \
+ (r) = ret; \
+ }
+
+#define mul(r,a,w,c) { \
+ BN_ULONG high,low,ret,ta=(a); \
+ low = (w) * ta; \
+ high= BN_UMULT_HIGH(w,ta); \
+ ret = low + (c); \
+ (c) = high; \
+ (c) += (ret<low)?1:0; \
+ (r) = ret; \
+ }
+
+#define sqr(r0,r1,a) { \
+ BN_ULONG tmp=(a); \
+ (r0) = tmp * tmp; \
+ (r1) = BN_UMULT_HIGH(tmp,tmp); \
+ }
+
+#else
+/*************************************************************
+ * No long long type
+ */
+
+#define LBITS(a) ((a)&BN_MASK2l)
+#define HBITS(a) (((a)>>BN_BITS4)&BN_MASK2l)
+#define L2HBITS(a) (((a)<<BN_BITS4)&BN_MASK2)
+
+#define LLBITS(a) ((a)&BN_MASKl)
+#define LHBITS(a) (((a)>>BN_BITS2)&BN_MASKl)
+#define LL2HBITS(a) ((BN_ULLONG)((a)&BN_MASKl)<<BN_BITS2)
+
+#define mul64(l,h,bl,bh) \
+ { \
+ BN_ULONG m,m1,lt,ht; \
+ \
+ lt=l; \
+ ht=h; \
+ m =(bh)*(lt); \
+ lt=(bl)*(lt); \
+ m1=(bl)*(ht); \
+ ht =(bh)*(ht); \
+ m=(m+m1)&BN_MASK2; if (m < m1) ht+=L2HBITS((BN_ULONG)1); \
+ ht+=HBITS(m); \
+ m1=L2HBITS(m); \
+ lt=(lt+m1)&BN_MASK2; if (lt < m1) ht++; \
+ (l)=lt; \
+ (h)=ht; \
+ }
+
+#define sqr64(lo,ho,in) \
+ { \
+ BN_ULONG l,h,m; \
+ \
+ h=(in); \
+ l=LBITS(h); \
+ h=HBITS(h); \
+ m =(l)*(h); \
+ l*=l; \
+ h*=h; \
+ h+=(m&BN_MASK2h1)>>(BN_BITS4-1); \
+ m =(m&BN_MASK2l)<<(BN_BITS4+1); \
+ l=(l+m)&BN_MASK2; if (l < m) h++; \
+ (lo)=l; \
+ (ho)=h; \
+ }
+
+#define mul_add(r,a,bl,bh,c) { \
+ BN_ULONG l,h; \
+ \
+ h= (a); \
+ l=LBITS(h); \
+ h=HBITS(h); \
+ mul64(l,h,(bl),(bh)); \
+ \
+ /* non-multiply part */ \
+ l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
+ (c)=(r); \
+ l=(l+(c))&BN_MASK2; if (l < (c)) h++; \
+ (c)=h&BN_MASK2; \
+ (r)=l; \
+ }
+
+#define mul(r,a,bl,bh,c) { \
+ BN_ULONG l,h; \
+ \
+ h= (a); \
+ l=LBITS(h); \
+ h=HBITS(h); \
+ mul64(l,h,(bl),(bh)); \
+ \
+ /* non-multiply part */ \
+ l+=(c); if ((l&BN_MASK2) < (c)) h++; \
+ (c)=h&BN_MASK2; \
+ (r)=l&BN_MASK2; \
+ }
+#endif /* !BN_LLONG */
+
+void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
+void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
+void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
+void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp);
+void bn_sqr_comba8(BN_ULONG *r,const BN_ULONG *a);
+void bn_sqr_comba4(BN_ULONG *r,const BN_ULONG *a);
+int bn_cmp_words(const BN_ULONG *a,const BN_ULONG *b,int n);
+int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl);
+void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
+ int dna,int dnb,BN_ULONG *t);
+void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
+ int n,int tna,int tnb,BN_ULONG *t);
+void bn_sqr_recursive(BN_ULONG *r,const BN_ULONG *a, int n2, BN_ULONG *t);
+void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
+void bn_mul_low_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,
+ BN_ULONG *t);
+void bn_mul_high(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,BN_ULONG *l,int n2,
+ BN_ULONG *t);
+BN_ULONG bn_add_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl);
+BN_ULONG bn_sub_part_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl);
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, const BN_ULONG *np,const BN_ULONG *n0, int num);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
diff --git a/openssl/crypto/bn/bn_lib.c b/openssl/crypto/bn/bn_lib.c
new file mode 100644
index 00000000..5470fbe6
--- /dev/null
+++ b/openssl/crypto/bn/bn_lib.c
@@ -0,0 +1,845 @@
+/* crypto/bn/bn_lib.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT;
+
+/* This stuff appears to be completely unused, so is deprecated */
+#ifndef OPENSSL_NO_DEPRECATED
+/* For a 32 bit machine
+ * 2 - 4 == 128
+ * 3 - 8 == 256
+ * 4 - 16 == 512
+ * 5 - 32 == 1024
+ * 6 - 64 == 2048
+ * 7 - 128 == 4096
+ * 8 - 256 == 8192
+ */
+static int bn_limit_bits=0;
+static int bn_limit_num=8; /* (1<<bn_limit_bits) */
+static int bn_limit_bits_low=0;
+static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */
+static int bn_limit_bits_high=0;
+static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */
+static int bn_limit_bits_mont=0;
+static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */
+
+void BN_set_params(int mult, int high, int low, int mont)
+ {
+ if (mult >= 0)
+ {
+ if (mult > (int)(sizeof(int)*8)-1)
+ mult=sizeof(int)*8-1;
+ bn_limit_bits=mult;
+ bn_limit_num=1<<mult;
+ }
+ if (high >= 0)
+ {
+ if (high > (int)(sizeof(int)*8)-1)
+ high=sizeof(int)*8-1;
+ bn_limit_bits_high=high;
+ bn_limit_num_high=1<<high;
+ }
+ if (low >= 0)
+ {
+ if (low > (int)(sizeof(int)*8)-1)
+ low=sizeof(int)*8-1;
+ bn_limit_bits_low=low;
+ bn_limit_num_low=1<<low;
+ }
+ if (mont >= 0)
+ {
+ if (mont > (int)(sizeof(int)*8)-1)
+ mont=sizeof(int)*8-1;
+ bn_limit_bits_mont=mont;
+ bn_limit_num_mont=1<<mont;
+ }
+ }
+
+int BN_get_params(int which)
+ {
+ if (which == 0) return(bn_limit_bits);
+ else if (which == 1) return(bn_limit_bits_high);
+ else if (which == 2) return(bn_limit_bits_low);
+ else if (which == 3) return(bn_limit_bits_mont);
+ else return(0);
+ }
+#endif
+
+const BIGNUM *BN_value_one(void)
+ {
+ static const BN_ULONG data_one=1L;
+ static const BIGNUM const_one={(BN_ULONG *)&data_one,1,1,0,BN_FLG_STATIC_DATA};
+
+ return(&const_one);
+ }
+
+char *BN_options(void)
+ {
+ static int init=0;
+ static char data[16];
+
+ if (!init)
+ {
+ init++;
+#ifdef BN_LLONG
+ BIO_snprintf(data,sizeof data,"bn(%d,%d)",
+ (int)sizeof(BN_ULLONG)*8,(int)sizeof(BN_ULONG)*8);
+#else
+ BIO_snprintf(data,sizeof data,"bn(%d,%d)",
+ (int)sizeof(BN_ULONG)*8,(int)sizeof(BN_ULONG)*8);
+#endif
+ }
+ return(data);
+ }
+
+int BN_num_bits_word(BN_ULONG l)
+ {
+ static const unsigned char bits[256]={
+ 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
+ 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
+ 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
+ 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
+ 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+ 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+ 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+ 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ };
+
+#if defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xffffffff00000000L)
+ {
+ if (l & 0xffff000000000000L)
+ {
+ if (l & 0xff00000000000000L)
+ {
+ return(bits[(int)(l>>56)]+56);
+ }
+ else return(bits[(int)(l>>48)]+48);
+ }
+ else
+ {
+ if (l & 0x0000ff0000000000L)
+ {
+ return(bits[(int)(l>>40)]+40);
+ }
+ else return(bits[(int)(l>>32)]+32);
+ }
+ }
+ else
+#else
+#ifdef SIXTY_FOUR_BIT
+ if (l & 0xffffffff00000000LL)
+ {
+ if (l & 0xffff000000000000LL)
+ {
+ if (l & 0xff00000000000000LL)
+ {
+ return(bits[(int)(l>>56)]+56);
+ }
+ else return(bits[(int)(l>>48)]+48);
+ }
+ else
+ {
+ if (l & 0x0000ff0000000000LL)
+ {
+ return(bits[(int)(l>>40)]+40);
+ }
+ else return(bits[(int)(l>>32)]+32);
+ }
+ }
+ else
+#endif
+#endif
+ {
+#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xffff0000L)
+ {
+ if (l & 0xff000000L)
+ return(bits[(int)(l>>24L)]+24);
+ else return(bits[(int)(l>>16L)]+16);
+ }
+ else
+#endif
+ {
+#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xff00L)
+ return(bits[(int)(l>>8)]+8);
+ else
+#endif
+ return(bits[(int)(l )] );
+ }
+ }
+ }
+
+int BN_num_bits(const BIGNUM *a)
+ {
+ int i = a->top - 1;
+ bn_check_top(a);
+
+ if (BN_is_zero(a)) return 0;
+ return ((i*BN_BITS2) + BN_num_bits_word(a->d[i]));
+ }
+
+void BN_clear_free(BIGNUM *a)
+ {
+ int i;
+
+ if (a == NULL) return;
+ bn_check_top(a);
+ if (a->d != NULL)
+ {
+ OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0]));
+ if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+ OPENSSL_free(a->d);
+ }
+ i=BN_get_flags(a,BN_FLG_MALLOCED);
+ OPENSSL_cleanse(a,sizeof(BIGNUM));
+ if (i)
+ OPENSSL_free(a);
+ }
+
+void BN_free(BIGNUM *a)
+ {
+ if (a == NULL) return;
+ bn_check_top(a);
+ if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+ OPENSSL_free(a->d);
+ if (a->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(a);
+ else
+ {
+#ifndef OPENSSL_NO_DEPRECATED
+ a->flags|=BN_FLG_FREE;
+#endif
+ a->d = NULL;
+ }
+ }
+
+void BN_init(BIGNUM *a)
+ {
+ memset(a,0,sizeof(BIGNUM));
+ bn_check_top(a);
+ }
+
+BIGNUM *BN_new(void)
+ {
+ BIGNUM *ret;
+
+ if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
+ {
+ BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE);
+ return(NULL);
+ }
+ ret->flags=BN_FLG_MALLOCED;
+ ret->top=0;
+ ret->neg=0;
+ ret->dmax=0;
+ ret->d=NULL;
+ bn_check_top(ret);
+ return(ret);
+ }
+
+/* This is used both by bn_expand2() and bn_dup_expand() */
+/* The caller MUST check that words > b->dmax before calling this */
+static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
+ {
+ BN_ULONG *A,*a = NULL;
+ const BN_ULONG *B;
+ int i;
+
+ bn_check_top(b);
+
+ if (words > (INT_MAX/(4*BN_BITS2)))
+ {
+ BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG);
+ return NULL;
+ }
+ if (BN_get_flags(b,BN_FLG_STATIC_DATA))
+ {
+ BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
+ return(NULL);
+ }
+ a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words);
+ if (A == NULL)
+ {
+ BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE);
+ return(NULL);
+ }
+#if 1
+ B=b->d;
+ /* Check if the previous number needs to be copied */
+ if (B != NULL)
+ {
+ for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+ {
+ /*
+ * The fact that the loop is unrolled
+ * 4-wise is a tribute to Intel. It's
+ * the one that doesn't have enough
+ * registers to accomodate more data.
+ * I'd unroll it 8-wise otherwise:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+ BN_ULONG a0,a1,a2,a3;
+ a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+ A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+ }
+ switch (b->top&3)
+ {
+ case 3: A[2]=B[2];
+ case 2: A[1]=B[1];
+ case 1: A[0]=B[0];
+ case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does
+ * the switch table by doing a=top&3; a--; goto jump_table[a];
+ * which fails for top== 0 */
+ ;
+ }
+ }
+
+#else
+ memset(A,0,sizeof(BN_ULONG)*words);
+ memcpy(A,b->d,sizeof(b->d[0])*b->top);
+#endif
+
+ return(a);
+ }
+
+/* This is an internal function that can be used instead of bn_expand2()
+ * when there is a need to copy BIGNUMs instead of only expanding the
+ * data part, while still expanding them.
+ * Especially useful when needing to expand BIGNUMs that are declared
+ * 'const' and should therefore not be changed.
+ * The reason to use this instead of a BN_dup() followed by a bn_expand2()
+ * is memory allocation overhead. A BN_dup() followed by a bn_expand2()
+ * will allocate new memory for the BIGNUM data twice, and free it once,
+ * while bn_dup_expand() makes sure allocation is made only once.
+ */
+
+#ifndef OPENSSL_NO_DEPRECATED
+BIGNUM *bn_dup_expand(const BIGNUM *b, int words)
+ {
+ BIGNUM *r = NULL;
+
+ bn_check_top(b);
+
+ /* This function does not work if
+ * words <= b->dmax && top < words
+ * because BN_dup() does not preserve 'dmax'!
+ * (But bn_dup_expand() is not used anywhere yet.)
+ */
+
+ if (words > b->dmax)
+ {
+ BN_ULONG *a = bn_expand_internal(b, words);
+
+ if (a)
+ {
+ r = BN_new();
+ if (r)
+ {
+ r->top = b->top;
+ r->dmax = words;
+ r->neg = b->neg;
+ r->d = a;
+ }
+ else
+ {
+ /* r == NULL, BN_new failure */
+ OPENSSL_free(a);
+ }
+ }
+ /* If a == NULL, there was an error in allocation in
+ bn_expand_internal(), and NULL should be returned */
+ }
+ else
+ {
+ r = BN_dup(b);
+ }
+
+ bn_check_top(r);
+ return r;
+ }
+#endif
+
+/* This is an internal function that should not be used in applications.
+ * It ensures that 'b' has enough room for a 'words' word number
+ * and initialises any unused part of b->d with leading zeros.
+ * It is mostly used by the various BIGNUM routines. If there is an error,
+ * NULL is returned. If not, 'b' is returned. */
+
+BIGNUM *bn_expand2(BIGNUM *b, int words)
+ {
+ bn_check_top(b);
+
+ if (words > b->dmax)
+ {
+ BN_ULONG *a = bn_expand_internal(b, words);
+ if(!a) return NULL;
+ if(b->d) OPENSSL_free(b->d);
+ b->d=a;
+ b->dmax=words;
+ }
+
+/* None of this should be necessary because of what b->top means! */
+#if 0
+ /* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */
+ if (b->top < b->dmax)
+ {
+ int i;
+ BN_ULONG *A = &(b->d[b->top]);
+ for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8)
+ {
+ A[0]=0; A[1]=0; A[2]=0; A[3]=0;
+ A[4]=0; A[5]=0; A[6]=0; A[7]=0;
+ }
+ for (i=(b->dmax - b->top)&7; i>0; i--,A++)
+ A[0]=0;
+ assert(A == &(b->d[b->dmax]));
+ }
+#endif
+ bn_check_top(b);
+ return b;
+ }
+
+BIGNUM *BN_dup(const BIGNUM *a)
+ {
+ BIGNUM *t;
+
+ if (a == NULL) return NULL;
+ bn_check_top(a);
+
+ t = BN_new();
+ if (t == NULL) return NULL;
+ if(!BN_copy(t, a))
+ {
+ BN_free(t);
+ return NULL;
+ }
+ bn_check_top(t);
+ return t;
+ }
+
+BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ BN_ULONG *A;
+ const BN_ULONG *B;
+
+ bn_check_top(b);
+
+ if (a == b) return(a);
+ if (bn_wexpand(a,b->top) == NULL) return(NULL);
+
+#if 1
+ A=a->d;
+ B=b->d;
+ for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+ {
+ BN_ULONG a0,a1,a2,a3;
+ a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+ A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+ }
+ switch (b->top&3)
+ {
+ case 3: A[2]=B[2];
+ case 2: A[1]=B[1];
+ case 1: A[0]=B[0];
+ case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */
+ }
+#else
+ memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
+#endif
+
+ a->top=b->top;
+ a->neg=b->neg;
+ bn_check_top(a);
+ return(a);
+ }
+
+void BN_swap(BIGNUM *a, BIGNUM *b)
+ {
+ int flags_old_a, flags_old_b;
+ BN_ULONG *tmp_d;
+ int tmp_top, tmp_dmax, tmp_neg;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ flags_old_a = a->flags;
+ flags_old_b = b->flags;
+
+ tmp_d = a->d;
+ tmp_top = a->top;
+ tmp_dmax = a->dmax;
+ tmp_neg = a->neg;
+
+ a->d = b->d;
+ a->top = b->top;
+ a->dmax = b->dmax;
+ a->neg = b->neg;
+
+ b->d = tmp_d;
+ b->top = tmp_top;
+ b->dmax = tmp_dmax;
+ b->neg = tmp_neg;
+
+ a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
+ b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
+ bn_check_top(a);
+ bn_check_top(b);
+ }
+
+void BN_clear(BIGNUM *a)
+ {
+ bn_check_top(a);
+ if (a->d != NULL)
+ memset(a->d,0,a->dmax*sizeof(a->d[0]));
+ a->top=0;
+ a->neg=0;
+ }
+
+BN_ULONG BN_get_word(const BIGNUM *a)
+ {
+ if (a->top > 1)
+ return BN_MASK2;
+ else if (a->top == 1)
+ return a->d[0];
+ /* a->top == 0 */
+ return 0;
+ }
+
+int BN_set_word(BIGNUM *a, BN_ULONG w)
+ {
+ bn_check_top(a);
+ if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0);
+ a->neg = 0;
+ a->d[0] = w;
+ a->top = (w ? 1 : 0);
+ bn_check_top(a);
+ return(1);
+ }
+
+BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
+ {
+ unsigned int i,m;
+ unsigned int n;
+ BN_ULONG l;
+ BIGNUM *bn = NULL;
+
+ if (ret == NULL)
+ ret = bn = BN_new();
+ if (ret == NULL) return(NULL);
+ bn_check_top(ret);
+ l=0;
+ n=len;
+ if (n == 0)
+ {
+ ret->top=0;
+ return(ret);
+ }
+ i=((n-1)/BN_BYTES)+1;
+ m=((n-1)%(BN_BYTES));
+ if (bn_wexpand(ret, (int)i) == NULL)
+ {
+ if (bn) BN_free(bn);
+ return NULL;
+ }
+ ret->top=i;
+ ret->neg=0;
+ while (n--)
+ {
+ l=(l<<8L)| *(s++);
+ if (m-- == 0)
+ {
+ ret->d[--i]=l;
+ l=0;
+ m=BN_BYTES-1;
+ }
+ }
+ /* need to call this due to clear byte at top if avoiding
+ * having the top bit set (-ve number) */
+ bn_correct_top(ret);
+ return(ret);
+ }
+
+/* ignore negative */
+int BN_bn2bin(const BIGNUM *a, unsigned char *to)
+ {
+ int n,i;
+ BN_ULONG l;
+
+ bn_check_top(a);
+ n=i=BN_num_bytes(a);
+ while (i--)
+ {
+ l=a->d[i/BN_BYTES];
+ *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
+ }
+ return(n);
+ }
+
+int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ BN_ULONG t1,t2,*ap,*bp;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ i=a->top-b->top;
+ if (i != 0) return(i);
+ ap=a->d;
+ bp=b->d;
+ for (i=a->top-1; i>=0; i--)
+ {
+ t1= ap[i];
+ t2= bp[i];
+ if (t1 != t2)
+ return((t1 > t2) ? 1 : -1);
+ }
+ return(0);
+ }
+
+int BN_cmp(const BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ int gt,lt;
+ BN_ULONG t1,t2;
+
+ if ((a == NULL) || (b == NULL))
+ {
+ if (a != NULL)
+ return(-1);
+ else if (b != NULL)
+ return(1);
+ else
+ return(0);
+ }
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->neg != b->neg)
+ {
+ if (a->neg)
+ return(-1);
+ else return(1);
+ }
+ if (a->neg == 0)
+ { gt=1; lt= -1; }
+ else { gt= -1; lt=1; }
+
+ if (a->top > b->top) return(gt);
+ if (a->top < b->top) return(lt);
+ for (i=a->top-1; i>=0; i--)
+ {
+ t1=a->d[i];
+ t2=b->d[i];
+ if (t1 > t2) return(gt);
+ if (t1 < t2) return(lt);
+ }
+ return(0);
+ }
+
+int BN_set_bit(BIGNUM *a, int n)
+ {
+ int i,j,k;
+
+ if (n < 0)
+ return 0;
+
+ i=n/BN_BITS2;
+ j=n%BN_BITS2;
+ if (a->top <= i)
+ {
+ if (bn_wexpand(a,i+1) == NULL) return(0);
+ for(k=a->top; k<i+1; k++)
+ a->d[k]=0;
+ a->top=i+1;
+ }
+
+ a->d[i]|=(((BN_ULONG)1)<<j);
+ bn_check_top(a);
+ return(1);
+ }
+
+int BN_clear_bit(BIGNUM *a, int n)
+ {
+ int i,j;
+
+ bn_check_top(a);
+ if (n < 0) return 0;
+
+ i=n/BN_BITS2;
+ j=n%BN_BITS2;
+ if (a->top <= i) return(0);
+
+ a->d[i]&=(~(((BN_ULONG)1)<<j));
+ bn_correct_top(a);
+ return(1);
+ }
+
+int BN_is_bit_set(const BIGNUM *a, int n)
+ {
+ int i,j;
+
+ bn_check_top(a);
+ if (n < 0) return 0;
+ i=n/BN_BITS2;
+ j=n%BN_BITS2;
+ if (a->top <= i) return 0;
+ return (int)(((a->d[i])>>j)&((BN_ULONG)1));
+ }
+
+int BN_mask_bits(BIGNUM *a, int n)
+ {
+ int b,w;
+
+ bn_check_top(a);
+ if (n < 0) return 0;
+
+ w=n/BN_BITS2;
+ b=n%BN_BITS2;
+ if (w >= a->top) return 0;
+ if (b == 0)
+ a->top=w;
+ else
+ {
+ a->top=w+1;
+ a->d[w]&= ~(BN_MASK2<<b);
+ }
+ bn_correct_top(a);
+ return(1);
+ }
+
+void BN_set_negative(BIGNUM *a, int b)
+ {
+ if (b && !BN_is_zero(a))
+ a->neg = 1;
+ else
+ a->neg = 0;
+ }
+
+int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
+ {
+ int i;
+ BN_ULONG aa,bb;
+
+ aa=a[n-1];
+ bb=b[n-1];
+ if (aa != bb) return((aa > bb)?1:-1);
+ for (i=n-2; i>=0; i--)
+ {
+ aa=a[i];
+ bb=b[i];
+ if (aa != bb) return((aa > bb)?1:-1);
+ }
+ return(0);
+ }
+
+/* Here follows a specialised variants of bn_cmp_words(). It has the
+ property of performing the operation on arrays of different sizes.
+ The sizes of those arrays is expressed through cl, which is the
+ common length ( basicall, min(len(a),len(b)) ), and dl, which is the
+ delta between the two lengths, calculated as len(a)-len(b).
+ All lengths are the number of BN_ULONGs... */
+
+int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+ {
+ int n,i;
+ n = cl-1;
+
+ if (dl < 0)
+ {
+ for (i=dl; i<0; i++)
+ {
+ if (b[n-i] != 0)
+ return -1; /* a < b */
+ }
+ }
+ if (dl > 0)
+ {
+ for (i=dl; i>0; i--)
+ {
+ if (a[n+i] != 0)
+ return 1; /* a > b */
+ }
+ }
+ return bn_cmp_words(a,b,cl);
+ }
diff --git a/openssl/crypto/bn/bn_mod.c b/openssl/crypto/bn/bn_mod.c
new file mode 100644
index 00000000..77d6ddb9
--- /dev/null
+++ b/openssl/crypto/bn/bn_mod.c
@@ -0,0 +1,301 @@
+/* crypto/bn/bn_mod.c */
+/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
+ * for the OpenSSL project. */
+/* ====================================================================
+ * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+
+#if 0 /* now just a #define */
+int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
+ {
+ return(BN_div(NULL,rem,m,d,ctx));
+ /* note that rem->neg == m->neg (unless the remainder is zero) */
+ }
+#endif
+
+
+int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx)
+ {
+ /* like BN_mod, but returns non-negative remainder
+ * (i.e., 0 <= r < |d| always holds) */
+
+ if (!(BN_mod(r,m,d,ctx)))
+ return 0;
+ if (!r->neg)
+ return 1;
+ /* now -|d| < r < 0, so we have to set r := r + |d| */
+ return (d->neg ? BN_sub : BN_add)(r, r, d);
+}
+
+
+int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
+ {
+ if (!BN_add(r, a, b)) return 0;
+ return BN_nnmod(r, r, m, ctx);
+ }
+
+
+/* BN_mod_add variant that may be used if both a and b are non-negative
+ * and less than m */
+int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
+ {
+ if (!BN_uadd(r, a, b)) return 0;
+ if (BN_ucmp(r, m) >= 0)
+ return BN_usub(r, r, m);
+ return 1;
+ }
+
+
+int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx)
+ {
+ if (!BN_sub(r, a, b)) return 0;
+ return BN_nnmod(r, r, m, ctx);
+ }
+
+
+/* BN_mod_sub variant that may be used if both a and b are non-negative
+ * and less than m */
+int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m)
+ {
+ if (!BN_sub(r, a, b)) return 0;
+ if (r->neg)
+ return BN_add(r, r, m);
+ return 1;
+ }
+
+
+/* slow but works */
+int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
+ BN_CTX *ctx)
+ {
+ BIGNUM *t;
+ int ret=0;
+
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(m);
+
+ BN_CTX_start(ctx);
+ if ((t = BN_CTX_get(ctx)) == NULL) goto err;
+ if (a == b)
+ { if (!BN_sqr(t,a,ctx)) goto err; }
+ else
+ { if (!BN_mul(t,a,b,ctx)) goto err; }
+ if (!BN_nnmod(r,t,m,ctx)) goto err;
+ bn_check_top(r);
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+
+int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
+ {
+ if (!BN_sqr(r, a, ctx)) return 0;
+ /* r->neg == 0, thus we don't need BN_nnmod */
+ return BN_mod(r, r, m, ctx);
+ }
+
+
+int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx)
+ {
+ if (!BN_lshift1(r, a)) return 0;
+ bn_check_top(r);
+ return BN_nnmod(r, r, m, ctx);
+ }
+
+
+/* BN_mod_lshift1 variant that may be used if a is non-negative
+ * and less than m */
+int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m)
+ {
+ if (!BN_lshift1(r, a)) return 0;
+ bn_check_top(r);
+ if (BN_cmp(r, m) >= 0)
+ return BN_sub(r, r, m);
+ return 1;
+ }
+
+
+int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx)
+ {
+ BIGNUM *abs_m = NULL;
+ int ret;
+
+ if (!BN_nnmod(r, a, m, ctx)) return 0;
+
+ if (m->neg)
+ {
+ abs_m = BN_dup(m);
+ if (abs_m == NULL) return 0;
+ abs_m->neg = 0;
+ }
+
+ ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m));
+ bn_check_top(r);
+
+ if (abs_m)
+ BN_free(abs_m);
+ return ret;
+ }
+
+
+/* BN_mod_lshift variant that may be used if a is non-negative
+ * and less than m */
+int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m)
+ {
+ if (r != a)
+ {
+ if (BN_copy(r, a) == NULL) return 0;
+ }
+
+ while (n > 0)
+ {
+ int max_shift;
+
+ /* 0 < r < m */
+ max_shift = BN_num_bits(m) - BN_num_bits(r);
+ /* max_shift >= 0 */
+
+ if (max_shift < 0)
+ {
+ BNerr(BN_F_BN_MOD_LSHIFT_QUICK, BN_R_INPUT_NOT_REDUCED);
+ return 0;
+ }
+
+ if (max_shift > n)
+ max_shift = n;
+
+ if (max_shift)
+ {
+ if (!BN_lshift(r, r, max_shift)) return 0;
+ n -= max_shift;
+ }
+ else
+ {
+ if (!BN_lshift1(r, r)) return 0;
+ --n;
+ }
+
+ /* BN_num_bits(r) <= BN_num_bits(m) */
+
+ if (BN_cmp(r, m) >= 0)
+ {
+ if (!BN_sub(r, r, m)) return 0;
+ }
+ }
+ bn_check_top(r);
+
+ return 1;
+ }
diff --git a/openssl/crypto/bn/bn_mont.c b/openssl/crypto/bn/bn_mont.c
new file mode 100644
index 00000000..1a866880
--- /dev/null
+++ b/openssl/crypto/bn/bn_mont.c
@@ -0,0 +1,567 @@
+/* crypto/bn/bn_mont.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+/*
+ * Details about Montgomery multiplication algorithms can be found at
+ * http://security.ece.orst.edu/publications.html, e.g.
+ * http://security.ece.orst.edu/koc/papers/j37acmon.pdf and
+ * sections 3.8 and 4.2 in http://security.ece.orst.edu/koc/papers/r01rsasw.pdf
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+#define MONT_WORD /* use the faster word-based algorithm */
+
+#ifdef MONT_WORD
+static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont);
+#endif
+
+int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
+ BN_MONT_CTX *mont, BN_CTX *ctx)
+ {
+ BIGNUM *tmp;
+ int ret=0;
+#if defined(OPENSSL_BN_ASM_MONT) && defined(MONT_WORD)
+ int num = mont->N.top;
+
+ if (num>1 && a->top==num && b->top==num)
+ {
+ if (bn_wexpand(r,num) == NULL) return(0);
+ if (bn_mul_mont(r->d,a->d,b->d,mont->N.d,mont->n0,num))
+ {
+ r->neg = a->neg^b->neg;
+ r->top = num;
+ bn_correct_top(r);
+ return(1);
+ }
+ }
+#endif
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ if (tmp == NULL) goto err;
+
+ bn_check_top(tmp);
+ if (a == b)
+ {
+ if (!BN_sqr(tmp,a,ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_mul(tmp,a,b,ctx)) goto err;
+ }
+ /* reduce from aRR to aR */
+#ifdef MONT_WORD
+ if (!BN_from_montgomery_word(r,tmp,mont)) goto err;
+#else
+ if (!BN_from_montgomery(r,tmp,mont,ctx)) goto err;
+#endif
+ bn_check_top(r);
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+#ifdef MONT_WORD
+static int BN_from_montgomery_word(BIGNUM *ret, BIGNUM *r, BN_MONT_CTX *mont)
+ {
+ BIGNUM *n;
+ BN_ULONG *ap,*np,*rp,n0,v,*nrp;
+ int al,nl,max,i,x,ri;
+
+ n= &(mont->N);
+ /* mont->ri is the size of mont->N in bits (rounded up
+ to the word size) */
+ al=ri=mont->ri/BN_BITS2;
+
+ nl=n->top;
+ if ((al == 0) || (nl == 0)) { ret->top=0; return(1); }
+
+ max=(nl+al+1); /* allow for overflow (no?) XXX */
+ if (bn_wexpand(r,max) == NULL) return(0);
+
+ r->neg^=n->neg;
+ np=n->d;
+ rp=r->d;
+ nrp= &(r->d[nl]);
+
+ /* clear the top words of T */
+#if 1
+ for (i=r->top; i<max; i++) /* memset? XXX */
+ r->d[i]=0;
+#else
+ memset(&(r->d[r->top]),0,(max-r->top)*sizeof(BN_ULONG));
+#endif
+
+ r->top=max;
+ n0=mont->n0[0];
+
+#ifdef BN_COUNT
+ fprintf(stderr,"word BN_from_montgomery_word %d * %d\n",nl,nl);
+#endif
+ for (i=0; i<nl; i++)
+ {
+#ifdef __TANDEM
+ {
+ long long t1;
+ long long t2;
+ long long t3;
+ t1 = rp[0] * (n0 & 0177777);
+ t2 = 037777600000l;
+ t2 = n0 & t2;
+ t3 = rp[0] & 0177777;
+ t2 = (t3 * t2) & BN_MASK2;
+ t1 = t1 + t2;
+ v=bn_mul_add_words(rp,np,nl,(BN_ULONG) t1);
+ }
+#else
+ v=bn_mul_add_words(rp,np,nl,(rp[0]*n0)&BN_MASK2);
+#endif
+ nrp++;
+ rp++;
+ if (((nrp[-1]+=v)&BN_MASK2) >= v)
+ continue;
+ else
+ {
+ if (((++nrp[0])&BN_MASK2) != 0) continue;
+ if (((++nrp[1])&BN_MASK2) != 0) continue;
+ for (x=2; (((++nrp[x])&BN_MASK2) == 0); x++) ;
+ }
+ }
+ bn_correct_top(r);
+
+ /* mont->ri will be a multiple of the word size and below code
+ * is kind of BN_rshift(ret,r,mont->ri) equivalent */
+ if (r->top <= ri)
+ {
+ ret->top=0;
+ return(1);
+ }
+ al=r->top-ri;
+
+#define BRANCH_FREE 1
+#if BRANCH_FREE
+ if (bn_wexpand(ret,ri) == NULL) return(0);
+ x=0-(((al-ri)>>(sizeof(al)*8-1))&1);
+ ret->top=x=(ri&~x)|(al&x); /* min(ri,al) */
+ ret->neg=r->neg;
+
+ rp=ret->d;
+ ap=&(r->d[ri]);
+
+ {
+ size_t m1,m2;
+
+ v=bn_sub_words(rp,ap,np,ri);
+ /* this ----------------^^ works even in al<ri case
+ * thanks to zealous zeroing of top of the vector in the
+ * beginning. */
+
+ /* if (al==ri && !v) || al>ri) nrp=rp; else nrp=ap; */
+ /* in other words if subtraction result is real, then
+ * trick unconditional memcpy below to perform in-place
+ * "refresh" instead of actual copy. */
+ m1=0-(size_t)(((al-ri)>>(sizeof(al)*8-1))&1); /* al<ri */
+ m2=0-(size_t)(((ri-al)>>(sizeof(al)*8-1))&1); /* al>ri */
+ m1|=m2; /* (al!=ri) */
+ m1|=(0-(size_t)v); /* (al!=ri || v) */
+ m1&=~m2; /* (al!=ri || v) && !al>ri */
+ nrp=(BN_ULONG *)(((PTR_SIZE_INT)rp&~m1)|((PTR_SIZE_INT)ap&m1));
+ }
+
+ /* 'i<ri' is chosen to eliminate dependency on input data, even
+ * though it results in redundant copy in al<ri case. */
+ for (i=0,ri-=4; i<ri; i+=4)
+ {
+ BN_ULONG t1,t2,t3,t4;
+
+ t1=nrp[i+0];
+ t2=nrp[i+1];
+ t3=nrp[i+2]; ap[i+0]=0;
+ t4=nrp[i+3]; ap[i+1]=0;
+ rp[i+0]=t1; ap[i+2]=0;
+ rp[i+1]=t2; ap[i+3]=0;
+ rp[i+2]=t3;
+ rp[i+3]=t4;
+ }
+ for (ri+=4; i<ri; i++)
+ rp[i]=nrp[i], ap[i]=0;
+ bn_correct_top(r);
+ bn_correct_top(ret);
+#else
+ if (bn_wexpand(ret,al) == NULL) return(0);
+ ret->top=al;
+ ret->neg=r->neg;
+
+ rp=ret->d;
+ ap=&(r->d[ri]);
+ al-=4;
+ for (i=0; i<al; i+=4)
+ {
+ BN_ULONG t1,t2,t3,t4;
+
+ t1=ap[i+0];
+ t2=ap[i+1];
+ t3=ap[i+2];
+ t4=ap[i+3];
+ rp[i+0]=t1;
+ rp[i+1]=t2;
+ rp[i+2]=t3;
+ rp[i+3]=t4;
+ }
+ al+=4;
+ for (; i<al; i++)
+ rp[i]=ap[i];
+
+ if (BN_ucmp(ret, &(mont->N)) >= 0)
+ {
+ if (!BN_usub(ret,ret,&(mont->N))) return(0);
+ }
+#endif
+ bn_check_top(ret);
+
+ return(1);
+ }
+#endif /* MONT_WORD */
+
+int BN_from_montgomery(BIGNUM *ret, const BIGNUM *a, BN_MONT_CTX *mont,
+ BN_CTX *ctx)
+ {
+ int retn=0;
+#ifdef MONT_WORD
+ BIGNUM *t;
+
+ BN_CTX_start(ctx);
+ if ((t = BN_CTX_get(ctx)) && BN_copy(t,a))
+ retn = BN_from_montgomery_word(ret,t,mont);
+ BN_CTX_end(ctx);
+#else /* !MONT_WORD */
+ BIGNUM *t1,*t2;
+
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ t2 = BN_CTX_get(ctx);
+ if (t1 == NULL || t2 == NULL) goto err;
+
+ if (!BN_copy(t1,a)) goto err;
+ BN_mask_bits(t1,mont->ri);
+
+ if (!BN_mul(t2,t1,&mont->Ni,ctx)) goto err;
+ BN_mask_bits(t2,mont->ri);
+
+ if (!BN_mul(t1,t2,&mont->N,ctx)) goto err;
+ if (!BN_add(t2,a,t1)) goto err;
+ if (!BN_rshift(ret,t2,mont->ri)) goto err;
+
+ if (BN_ucmp(ret, &(mont->N)) >= 0)
+ {
+ if (!BN_usub(ret,ret,&(mont->N))) goto err;
+ }
+ retn=1;
+ bn_check_top(ret);
+ err:
+ BN_CTX_end(ctx);
+#endif /* MONT_WORD */
+ return(retn);
+ }
+
+BN_MONT_CTX *BN_MONT_CTX_new(void)
+ {
+ BN_MONT_CTX *ret;
+
+ if ((ret=(BN_MONT_CTX *)OPENSSL_malloc(sizeof(BN_MONT_CTX))) == NULL)
+ return(NULL);
+
+ BN_MONT_CTX_init(ret);
+ ret->flags=BN_FLG_MALLOCED;
+ return(ret);
+ }
+
+void BN_MONT_CTX_init(BN_MONT_CTX *ctx)
+ {
+ ctx->ri=0;
+ BN_init(&(ctx->RR));
+ BN_init(&(ctx->N));
+ BN_init(&(ctx->Ni));
+ ctx->n0[0] = ctx->n0[1] = 0;
+ ctx->flags=0;
+ }
+
+void BN_MONT_CTX_free(BN_MONT_CTX *mont)
+ {
+ if(mont == NULL)
+ return;
+
+ BN_free(&(mont->RR));
+ BN_free(&(mont->N));
+ BN_free(&(mont->Ni));
+ if (mont->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(mont);
+ }
+
+int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *Ri,*R;
+
+ BN_CTX_start(ctx);
+ if((Ri = BN_CTX_get(ctx)) == NULL) goto err;
+ R= &(mont->RR); /* grab RR as a temp */
+ if (!BN_copy(&(mont->N),mod)) goto err; /* Set N */
+ mont->N.neg = 0;
+
+#ifdef MONT_WORD
+ {
+ BIGNUM tmod;
+ BN_ULONG buf[2];
+
+ BN_init(&tmod);
+ tmod.d=buf;
+ tmod.dmax=2;
+ tmod.neg=0;
+
+ mont->ri=(BN_num_bits(mod)+(BN_BITS2-1))/BN_BITS2*BN_BITS2;
+
+#if defined(OPENSSL_BN_ASM_MONT) && (BN_BITS2<=32)
+ /* Only certain BN_BITS2<=32 platforms actually make use of
+ * n0[1], and we could use the #else case (with a shorter R
+ * value) for the others. However, currently only the assembler
+ * files do know which is which. */
+
+ BN_zero(R);
+ if (!(BN_set_bit(R,2*BN_BITS2))) goto err;
+
+ tmod.top=0;
+ if ((buf[0] = mod->d[0])) tmod.top=1;
+ if ((buf[1] = mod->top>1 ? mod->d[1] : 0)) tmod.top=2;
+
+ if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri,Ri,2*BN_BITS2)) goto err; /* R*Ri */
+ if (!BN_is_zero(Ri))
+ {
+ if (!BN_sub_word(Ri,1)) goto err;
+ }
+ else /* if N mod word size == 1 */
+ {
+ if (bn_expand(Ri,(int)sizeof(BN_ULONG)*2) == NULL)
+ goto err;
+ /* Ri-- (mod double word size) */
+ Ri->neg=0;
+ Ri->d[0]=BN_MASK2;
+ Ri->d[1]=BN_MASK2;
+ Ri->top=2;
+ }
+ if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err;
+ /* Ni = (R*Ri-1)/N,
+ * keep only couple of least significant words: */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = (Ri->top > 1) ? Ri->d[1] : 0;
+#else
+ BN_zero(R);
+ if (!(BN_set_bit(R,BN_BITS2))) goto err; /* R */
+
+ buf[0]=mod->d[0]; /* tmod = N mod word size */
+ buf[1]=0;
+ tmod.top = buf[0] != 0 ? 1 : 0;
+ /* Ri = R^-1 mod N*/
+ if ((BN_mod_inverse(Ri,R,&tmod,ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri,Ri,BN_BITS2)) goto err; /* R*Ri */
+ if (!BN_is_zero(Ri))
+ {
+ if (!BN_sub_word(Ri,1)) goto err;
+ }
+ else /* if N mod word size == 1 */
+ {
+ if (!BN_set_word(Ri,BN_MASK2)) goto err; /* Ri-- (mod word size) */
+ }
+ if (!BN_div(Ri,NULL,Ri,&tmod,ctx)) goto err;
+ /* Ni = (R*Ri-1)/N,
+ * keep only least significant word: */
+ mont->n0[0] = (Ri->top > 0) ? Ri->d[0] : 0;
+ mont->n0[1] = 0;
+#endif
+ }
+#else /* !MONT_WORD */
+ { /* bignum version */
+ mont->ri=BN_num_bits(&mont->N);
+ BN_zero(R);
+ if (!BN_set_bit(R,mont->ri)) goto err; /* R = 2^ri */
+ /* Ri = R^-1 mod N*/
+ if ((BN_mod_inverse(Ri,R,&mont->N,ctx)) == NULL)
+ goto err;
+ if (!BN_lshift(Ri,Ri,mont->ri)) goto err; /* R*Ri */
+ if (!BN_sub_word(Ri,1)) goto err;
+ /* Ni = (R*Ri-1) / N */
+ if (!BN_div(&(mont->Ni),NULL,Ri,&mont->N,ctx)) goto err;
+ }
+#endif
+
+ /* setup RR for conversions */
+ BN_zero(&(mont->RR));
+ if (!BN_set_bit(&(mont->RR),mont->ri*2)) goto err;
+ if (!BN_mod(&(mont->RR),&(mont->RR),&(mont->N),ctx)) goto err;
+
+ ret = 1;
+err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from)
+ {
+ if (to == from) return(to);
+
+ if (!BN_copy(&(to->RR),&(from->RR))) return NULL;
+ if (!BN_copy(&(to->N),&(from->N))) return NULL;
+ if (!BN_copy(&(to->Ni),&(from->Ni))) return NULL;
+ to->ri=from->ri;
+ to->n0[0]=from->n0[0];
+ to->n0[1]=from->n0[1];
+ return(to);
+ }
+
+BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
+ const BIGNUM *mod, BN_CTX *ctx)
+ {
+ int got_write_lock = 0;
+ BN_MONT_CTX *ret;
+
+ CRYPTO_r_lock(lock);
+ if (!*pmont)
+ {
+ CRYPTO_r_unlock(lock);
+ CRYPTO_w_lock(lock);
+ got_write_lock = 1;
+
+ if (!*pmont)
+ {
+ ret = BN_MONT_CTX_new();
+ if (ret && !BN_MONT_CTX_set(ret, mod, ctx))
+ BN_MONT_CTX_free(ret);
+ else
+ *pmont = ret;
+ }
+ }
+
+ ret = *pmont;
+
+ if (got_write_lock)
+ CRYPTO_w_unlock(lock);
+ else
+ CRYPTO_r_unlock(lock);
+
+ return ret;
+ }
diff --git a/openssl/crypto/bn/bn_mpi.c b/openssl/crypto/bn/bn_mpi.c
new file mode 100644
index 00000000..a054d21a
--- /dev/null
+++ b/openssl/crypto/bn/bn_mpi.c
@@ -0,0 +1,130 @@
+/* crypto/bn/bn_mpi.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+int BN_bn2mpi(const BIGNUM *a, unsigned char *d)
+ {
+ int bits;
+ int num=0;
+ int ext=0;
+ long l;
+
+ bits=BN_num_bits(a);
+ num=(bits+7)/8;
+ if (bits > 0)
+ {
+ ext=((bits & 0x07) == 0);
+ }
+ if (d == NULL)
+ return(num+4+ext);
+
+ l=num+ext;
+ d[0]=(unsigned char)(l>>24)&0xff;
+ d[1]=(unsigned char)(l>>16)&0xff;
+ d[2]=(unsigned char)(l>> 8)&0xff;
+ d[3]=(unsigned char)(l )&0xff;
+ if (ext) d[4]=0;
+ num=BN_bn2bin(a,&(d[4+ext]));
+ if (a->neg)
+ d[4]|=0x80;
+ return(num+4+ext);
+ }
+
+BIGNUM *BN_mpi2bn(const unsigned char *d, int n, BIGNUM *a)
+ {
+ long len;
+ int neg=0;
+
+ if (n < 4)
+ {
+ BNerr(BN_F_BN_MPI2BN,BN_R_INVALID_LENGTH);
+ return(NULL);
+ }
+ len=((long)d[0]<<24)|((long)d[1]<<16)|((int)d[2]<<8)|(int)d[3];
+ if ((len+4) != n)
+ {
+ BNerr(BN_F_BN_MPI2BN,BN_R_ENCODING_ERROR);
+ return(NULL);
+ }
+
+ if (a == NULL) a=BN_new();
+ if (a == NULL) return(NULL);
+
+ if (len == 0)
+ {
+ a->neg=0;
+ a->top=0;
+ return(a);
+ }
+ d+=4;
+ if ((*d) & 0x80)
+ neg=1;
+ if (BN_bin2bn(d,(int)len,a) == NULL)
+ return(NULL);
+ a->neg=neg;
+ if (neg)
+ {
+ BN_clear_bit(a,BN_num_bits(a)-1);
+ }
+ bn_check_top(a);
+ return(a);
+ }
+
diff --git a/openssl/crypto/bn/bn_mul.c b/openssl/crypto/bn/bn_mul.c
new file mode 100644
index 00000000..12e5be80
--- /dev/null
+++ b/openssl/crypto/bn/bn_mul.c
@@ -0,0 +1,1166 @@
+/* crypto/bn/bn_mul.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
+#include <stdio.h>
+#include <assert.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+#if defined(OPENSSL_NO_ASM) || !defined(OPENSSL_BN_ASM_PART_WORDS)
+/* Here follows specialised variants of bn_add_words() and
+ bn_sub_words(). They have the property performing operations on
+ arrays of different sizes. The sizes of those arrays is expressed through
+ cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl,
+ which is the delta between the two lengths, calculated as len(a)-len(b).
+ All lengths are the number of BN_ULONGs... For the operations that require
+ a result array as parameter, it must have the length cl+abs(dl).
+ These functions should probably end up in bn_asm.c as soon as there are
+ assembler counterparts for the systems that use assembler files. */
+
+BN_ULONG bn_sub_part_words(BN_ULONG *r,
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+ {
+ BN_ULONG c, t;
+
+ assert(cl >= 0);
+ c = bn_sub_words(r, a, b, cl);
+
+ if (dl == 0)
+ return c;
+
+ r += cl;
+ a += cl;
+ b += cl;
+
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
+#endif
+ for (;;)
+ {
+ t = b[0];
+ r[0] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[1];
+ r[1] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[2];
+ r[2] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[3];
+ r[3] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ b += 4;
+ r += 4;
+ }
+ }
+ else
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl, dl, c);
+#endif
+ while(c)
+ {
+ t = a[0];
+ r[0] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[1];
+ r[1] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[2];
+ r[2] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[3];
+ r[3] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ save_dl = dl;
+ a += 4;
+ r += 4;
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
+#endif
+ if (save_dl > dl)
+ {
+ switch (save_dl - dl)
+ {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0) break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = a[0];
+ if (--dl <= 0) break;
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ r[3] = a[3];
+ if (--dl <= 0) break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+ }
+#endif
+
+BN_ULONG bn_add_part_words(BN_ULONG *r,
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+ {
+ BN_ULONG c, l, t;
+
+ assert(cl >= 0);
+ c = bn_add_words(r, a, b, cl);
+
+ if (dl == 0)
+ return c;
+
+ r += cl;
+ a += cl;
+ b += cl;
+
+ if (dl < 0)
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
+#endif
+ while (c)
+ {
+ l=(c+b[0])&BN_MASK2;
+ c=(l < c);
+ r[0]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[1])&BN_MASK2;
+ c=(l < c);
+ r[1]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[2])&BN_MASK2;
+ c=(l < c);
+ r[2]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[3])&BN_MASK2;
+ c=(l < c);
+ r[3]=l;
+ if (++dl >= 0) break;
+
+ save_dl = dl;
+ b+=4;
+ r+=4;
+ }
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n", cl, dl);
+#endif
+ if (save_dl < dl)
+ {
+ switch (dl - save_dl)
+ {
+ case 1:
+ r[1] = b[1];
+ if (++dl >= 0) break;
+ case 2:
+ r[2] = b[2];
+ if (++dl >= 0) break;
+ case 3:
+ r[3] = b[3];
+ if (++dl >= 0) break;
+ }
+ b += 4;
+ r += 4;
+ }
+ }
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = b[0];
+ if (++dl >= 0) break;
+ r[1] = b[1];
+ if (++dl >= 0) break;
+ r[2] = b[2];
+ if (++dl >= 0) break;
+ r[3] = b[3];
+ if (++dl >= 0) break;
+
+ b += 4;
+ r += 4;
+ }
+ }
+ }
+ else
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl);
+#endif
+ while (c)
+ {
+ t=(a[0]+c)&BN_MASK2;
+ c=(t < c);
+ r[0]=t;
+ if (--dl <= 0) break;
+
+ t=(a[1]+c)&BN_MASK2;
+ c=(t < c);
+ r[1]=t;
+ if (--dl <= 0) break;
+
+ t=(a[2]+c)&BN_MASK2;
+ c=(t < c);
+ r[2]=t;
+ if (--dl <= 0) break;
+
+ t=(a[3]+c)&BN_MASK2;
+ c=(t < c);
+ r[3]=t;
+ if (--dl <= 0) break;
+
+ save_dl = dl;
+ a+=4;
+ r+=4;
+ }
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
+#endif
+ if (dl > 0)
+ {
+ if (save_dl > dl)
+ {
+ switch (save_dl - dl)
+ {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0) break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = a[0];
+ if (--dl <= 0) break;
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ r[3] = a[3];
+ if (--dl <= 0) break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+ }
+
+#ifdef BN_RECURSION
+/* Karatsuba recursive multiplication algorithm
+ * (cf. Knuth, The Art of Computer Programming, Vol. 2) */
+
+/* r is 2*n2 words in size,
+ * a and b are both n2 words in size.
+ * n2 must be a power of 2.
+ * We multiply and return the result.
+ * t must be 2*n2 words in size
+ * We calculate
+ * a[0]*b[0]
+ * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
+ * a[1]*b[1]
+ */
+/* dnX may not be positive, but n2/2+dnX has to be */
+void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
+ int dna, int dnb, BN_ULONG *t)
+ {
+ int n=n2/2,c1,c2;
+ int tna=n+dna, tnb=n+dnb;
+ unsigned int neg,zero;
+ BN_ULONG ln,lo,*p;
+
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_recursive %d%+d * %d%+d\n",n2,dna,n2,dnb);
+# endif
+# ifdef BN_MUL_COMBA
+# if 0
+ if (n2 == 4)
+ {
+ bn_mul_comba4(r,a,b);
+ return;
+ }
+# endif
+ /* Only call bn_mul_comba 8 if n2 == 8 and the
+ * two arrays are complete [steve]
+ */
+ if (n2 == 8 && dna == 0 && dnb == 0)
+ {
+ bn_mul_comba8(r,a,b);
+ return;
+ }
+# endif /* BN_MUL_COMBA */
+ /* Else do normal multiply */
+ if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL)
+ {
+ bn_mul_normal(r,a,n2+dna,b,n2+dnb);
+ if ((dna + dnb) < 0)
+ memset(&r[2*n2 + dna + dnb], 0,
+ sizeof(BN_ULONG) * -(dna + dnb));
+ return;
+ }
+ /* r=(a[0]-a[1])*(b[1]-b[0]) */
+ c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
+ c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
+ zero=neg=0;
+ switch (c1*3+c2)
+ {
+ case -4:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ break;
+ case -3:
+ zero=1;
+ break;
+ case -2:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
+ neg=1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ zero=1;
+ break;
+ case 2:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ neg=1;
+ break;
+ case 3:
+ zero=1;
+ break;
+ case 4:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
+ break;
+ }
+
+# ifdef BN_MUL_COMBA
+ if (n == 4 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba4 could take
+ extra args to do this well */
+ {
+ if (!zero)
+ bn_mul_comba4(&(t[n2]),t,&(t[n]));
+ else
+ memset(&(t[n2]),0,8*sizeof(BN_ULONG));
+
+ bn_mul_comba4(r,a,b);
+ bn_mul_comba4(&(r[n2]),&(a[n]),&(b[n]));
+ }
+ else if (n == 8 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba8 could
+ take extra args to do this
+ well */
+ {
+ if (!zero)
+ bn_mul_comba8(&(t[n2]),t,&(t[n]));
+ else
+ memset(&(t[n2]),0,16*sizeof(BN_ULONG));
+
+ bn_mul_comba8(r,a,b);
+ bn_mul_comba8(&(r[n2]),&(a[n]),&(b[n]));
+ }
+ else
+# endif /* BN_MUL_COMBA */
+ {
+ p= &(t[n2*2]);
+ if (!zero)
+ bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
+ else
+ memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
+ bn_mul_recursive(r,a,b,n,0,0,p);
+ bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),n,dna,dnb,p);
+ }
+
+ /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
+
+ if (neg) /* if t[32] is negative */
+ {
+ c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+ }
+ else
+ {
+ /* Might have a carry */
+ c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2));
+ }
+
+ /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ * c1 holds the carry bits
+ */
+ c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
+ if (c1)
+ {
+ p= &(r[n+n2]);
+ lo= *p;
+ ln=(lo+c1)&BN_MASK2;
+ *p=ln;
+
+ /* The overflow will stop before we over write
+ * words we should not overwrite */
+ if (ln < (BN_ULONG)c1)
+ {
+ do {
+ p++;
+ lo= *p;
+ ln=(lo+1)&BN_MASK2;
+ *p=ln;
+ } while (ln == 0);
+ }
+ }
+ }
+
+/* n+tn is the word length
+ * t needs to be n*4 is size, as does r */
+/* tnX may not be negative but less than n */
+void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,
+ int tna, int tnb, BN_ULONG *t)
+ {
+ int i,j,n2=n*2;
+ int c1,c2,neg;
+ BN_ULONG ln,lo,*p;
+
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_part_recursive (%d%+d) * (%d%+d)\n",
+ n, tna, n, tnb);
+# endif
+ if (n < 8)
+ {
+ bn_mul_normal(r,a,n+tna,b,n+tnb);
+ return;
+ }
+
+ /* r=(a[0]-a[1])*(b[1]-b[0]) */
+ c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
+ c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
+ neg=0;
+ switch (c1*3+c2)
+ {
+ case -4:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ break;
+ case -3:
+ /* break; */
+ case -2:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
+ neg=1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ /* break; */
+ case 2:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ neg=1;
+ break;
+ case 3:
+ /* break; */
+ case 4:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
+ break;
+ }
+ /* The zero case isn't yet implemented here. The speedup
+ would probably be negligible. */
+# if 0
+ if (n == 4)
+ {
+ bn_mul_comba4(&(t[n2]),t,&(t[n]));
+ bn_mul_comba4(r,a,b);
+ bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn);
+ memset(&(r[n2+tn*2]),0,sizeof(BN_ULONG)*(n2-tn*2));
+ }
+ else
+# endif
+ if (n == 8)
+ {
+ bn_mul_comba8(&(t[n2]),t,&(t[n]));
+ bn_mul_comba8(r,a,b);
+ bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
+ memset(&(r[n2+tna+tnb]),0,sizeof(BN_ULONG)*(n2-tna-tnb));
+ }
+ else
+ {
+ p= &(t[n2*2]);
+ bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
+ bn_mul_recursive(r,a,b,n,0,0,p);
+ i=n/2;
+ /* If there is only a bottom half to the number,
+ * just do it */
+ if (tna > tnb)
+ j = tna - i;
+ else
+ j = tnb - i;
+ if (j == 0)
+ {
+ bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),
+ i,tna-i,tnb-i,p);
+ memset(&(r[n2+i*2]),0,sizeof(BN_ULONG)*(n2-i*2));
+ }
+ else if (j > 0) /* eg, n == 16, i == 8 and tn == 11 */
+ {
+ bn_mul_part_recursive(&(r[n2]),&(a[n]),&(b[n]),
+ i,tna-i,tnb-i,p);
+ memset(&(r[n2+tna+tnb]),0,
+ sizeof(BN_ULONG)*(n2-tna-tnb));
+ }
+ else /* (j < 0) eg, n == 16, i == 8 and tn == 5 */
+ {
+ memset(&(r[n2]),0,sizeof(BN_ULONG)*n2);
+ if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL
+ && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL)
+ {
+ bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
+ }
+ else
+ {
+ for (;;)
+ {
+ i/=2;
+ /* these simplified conditions work
+ * exclusively because difference
+ * between tna and tnb is 1 or 0 */
+ if (i < tna || i < tnb)
+ {
+ bn_mul_part_recursive(&(r[n2]),
+ &(a[n]),&(b[n]),
+ i,tna-i,tnb-i,p);
+ break;
+ }
+ else if (i == tna || i == tnb)
+ {
+ bn_mul_recursive(&(r[n2]),
+ &(a[n]),&(b[n]),
+ i,tna-i,tnb-i,p);
+ break;
+ }
+ }
+ }
+ }
+ }
+
+ /* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
+
+ if (neg) /* if t[32] is negative */
+ {
+ c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+ }
+ else
+ {
+ /* Might have a carry */
+ c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2));
+ }
+
+ /* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ * c1 holds the carry bits
+ */
+ c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
+ if (c1)
+ {
+ p= &(r[n+n2]);
+ lo= *p;
+ ln=(lo+c1)&BN_MASK2;
+ *p=ln;
+
+ /* The overflow will stop before we over write
+ * words we should not overwrite */
+ if (ln < (BN_ULONG)c1)
+ {
+ do {
+ p++;
+ lo= *p;
+ ln=(lo+1)&BN_MASK2;
+ *p=ln;
+ } while (ln == 0);
+ }
+ }
+ }
+
+/* a and b must be the same size, which is n2.
+ * r needs to be n2 words and t needs to be n2*2
+ */
+void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
+ BN_ULONG *t)
+ {
+ int n=n2/2;
+
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_low_recursive %d * %d\n",n2,n2);
+# endif
+
+ bn_mul_recursive(r,a,b,n,0,0,&(t[0]));
+ if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL)
+ {
+ bn_mul_low_recursive(&(t[0]),&(a[0]),&(b[n]),n,&(t[n2]));
+ bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
+ bn_mul_low_recursive(&(t[0]),&(a[n]),&(b[0]),n,&(t[n2]));
+ bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
+ }
+ else
+ {
+ bn_mul_low_normal(&(t[0]),&(a[0]),&(b[n]),n);
+ bn_mul_low_normal(&(t[n]),&(a[n]),&(b[0]),n);
+ bn_add_words(&(r[n]),&(r[n]),&(t[0]),n);
+ bn_add_words(&(r[n]),&(r[n]),&(t[n]),n);
+ }
+ }
+
+/* a and b must be the same size, which is n2.
+ * r needs to be n2 words and t needs to be n2*2
+ * l is the low words of the output.
+ * t needs to be n2*3
+ */
+void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2,
+ BN_ULONG *t)
+ {
+ int i,n;
+ int c1,c2;
+ int neg,oneg,zero;
+ BN_ULONG ll,lc,*lp,*mp;
+
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_high %d * %d\n",n2,n2);
+# endif
+ n=n2/2;
+
+ /* Calculate (al-ah)*(bh-bl) */
+ neg=zero=0;
+ c1=bn_cmp_words(&(a[0]),&(a[n]),n);
+ c2=bn_cmp_words(&(b[n]),&(b[0]),n);
+ switch (c1*3+c2)
+ {
+ case -4:
+ bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n);
+ bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n);
+ break;
+ case -3:
+ zero=1;
+ break;
+ case -2:
+ bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n);
+ bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n);
+ neg=1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ zero=1;
+ break;
+ case 2:
+ bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n);
+ bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n);
+ neg=1;
+ break;
+ case 3:
+ zero=1;
+ break;
+ case 4:
+ bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n);
+ bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n);
+ break;
+ }
+
+ oneg=neg;
+ /* t[10] = (a[0]-a[1])*(b[1]-b[0]) */
+ /* r[10] = (a[1]*b[1]) */
+# ifdef BN_MUL_COMBA
+ if (n == 8)
+ {
+ bn_mul_comba8(&(t[0]),&(r[0]),&(r[n]));
+ bn_mul_comba8(r,&(a[n]),&(b[n]));
+ }
+ else
+# endif
+ {
+ bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,0,0,&(t[n2]));
+ bn_mul_recursive(r,&(a[n]),&(b[n]),n,0,0,&(t[n2]));
+ }
+
+ /* s0 == low(al*bl)
+ * s1 == low(ah*bh)+low((al-ah)*(bh-bl))+low(al*bl)+high(al*bl)
+ * We know s0 and s1 so the only unknown is high(al*bl)
+ * high(al*bl) == s1 - low(ah*bh+s0+(al-ah)*(bh-bl))
+ * high(al*bl) == s1 - (r[0]+l[0]+t[0])
+ */
+ if (l != NULL)
+ {
+ lp= &(t[n2+n]);
+ c1=(int)(bn_add_words(lp,&(r[0]),&(l[0]),n));
+ }
+ else
+ {
+ c1=0;
+ lp= &(r[0]);
+ }
+
+ if (neg)
+ neg=(int)(bn_sub_words(&(t[n2]),lp,&(t[0]),n));
+ else
+ {
+ bn_add_words(&(t[n2]),lp,&(t[0]),n);
+ neg=0;
+ }
+
+ if (l != NULL)
+ {
+ bn_sub_words(&(t[n2+n]),&(l[n]),&(t[n2]),n);
+ }
+ else
+ {
+ lp= &(t[n2+n]);
+ mp= &(t[n2]);
+ for (i=0; i<n; i++)
+ lp[i]=((~mp[i])+1)&BN_MASK2;
+ }
+
+ /* s[0] = low(al*bl)
+ * t[3] = high(al*bl)
+ * t[10] = (a[0]-a[1])*(b[1]-b[0]) neg is the sign
+ * r[10] = (a[1]*b[1])
+ */
+ /* R[10] = al*bl
+ * R[21] = al*bl + ah*bh + (a[0]-a[1])*(b[1]-b[0])
+ * R[32] = ah*bh
+ */
+ /* R[1]=t[3]+l[0]+r[0](+-)t[0] (have carry/borrow)
+ * R[2]=r[0]+t[3]+r[1](+-)t[1] (have carry/borrow)
+ * R[3]=r[1]+(carry/borrow)
+ */
+ if (l != NULL)
+ {
+ lp= &(t[n2]);
+ c1= (int)(bn_add_words(lp,&(t[n2+n]),&(l[0]),n));
+ }
+ else
+ {
+ lp= &(t[n2+n]);
+ c1=0;
+ }
+ c1+=(int)(bn_add_words(&(t[n2]),lp, &(r[0]),n));
+ if (oneg)
+ c1-=(int)(bn_sub_words(&(t[n2]),&(t[n2]),&(t[0]),n));
+ else
+ c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),&(t[0]),n));
+
+ c2 =(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n2+n]),n));
+ c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(r[n]),n));
+ if (oneg)
+ c2-=(int)(bn_sub_words(&(r[0]),&(r[0]),&(t[n]),n));
+ else
+ c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n]),n));
+
+ if (c1 != 0) /* Add starting at r[0], could be +ve or -ve */
+ {
+ i=0;
+ if (c1 > 0)
+ {
+ lc=c1;
+ do {
+ ll=(r[i]+lc)&BN_MASK2;
+ r[i++]=ll;
+ lc=(lc > ll);
+ } while (lc);
+ }
+ else
+ {
+ lc= -c1;
+ do {
+ ll=r[i];
+ r[i++]=(ll-lc)&BN_MASK2;
+ lc=(lc > ll);
+ } while (lc);
+ }
+ }
+ if (c2 != 0) /* Add starting at r[1] */
+ {
+ i=n;
+ if (c2 > 0)
+ {
+ lc=c2;
+ do {
+ ll=(r[i]+lc)&BN_MASK2;
+ r[i++]=ll;
+ lc=(lc > ll);
+ } while (lc);
+ }
+ else
+ {
+ lc= -c2;
+ do {
+ ll=r[i];
+ r[i++]=(ll-lc)&BN_MASK2;
+ lc=(lc > ll);
+ } while (lc);
+ }
+ }
+ }
+#endif /* BN_RECURSION */
+
+int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret=0;
+ int top,al,bl;
+ BIGNUM *rr;
+#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
+ int i;
+#endif
+#ifdef BN_RECURSION
+ BIGNUM *t=NULL;
+ int j=0,k;
+#endif
+
+#ifdef BN_COUNT
+ fprintf(stderr,"BN_mul %d * %d\n",a->top,b->top);
+#endif
+
+ bn_check_top(a);
+ bn_check_top(b);
+ bn_check_top(r);
+
+ al=a->top;
+ bl=b->top;
+
+ if ((al == 0) || (bl == 0))
+ {
+ BN_zero(r);
+ return(1);
+ }
+ top=al+bl;
+
+ BN_CTX_start(ctx);
+ if ((r == a) || (r == b))
+ {
+ if ((rr = BN_CTX_get(ctx)) == NULL) goto err;
+ }
+ else
+ rr = r;
+ rr->neg=a->neg^b->neg;
+
+#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
+ i = al-bl;
+#endif
+#ifdef BN_MUL_COMBA
+ if (i == 0)
+ {
+# if 0
+ if (al == 4)
+ {
+ if (bn_wexpand(rr,8) == NULL) goto err;
+ rr->top=8;
+ bn_mul_comba4(rr->d,a->d,b->d);
+ goto end;
+ }
+# endif
+ if (al == 8)
+ {
+ if (bn_wexpand(rr,16) == NULL) goto err;
+ rr->top=16;
+ bn_mul_comba8(rr->d,a->d,b->d);
+ goto end;
+ }
+ }
+#endif /* BN_MUL_COMBA */
+#ifdef BN_RECURSION
+ if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL))
+ {
+ if (i >= -1 && i <= 1)
+ {
+ /* Find out the power of two lower or equal
+ to the longest of the two numbers */
+ if (i >= 0)
+ {
+ j = BN_num_bits_word((BN_ULONG)al);
+ }
+ if (i == -1)
+ {
+ j = BN_num_bits_word((BN_ULONG)bl);
+ }
+ j = 1<<(j-1);
+ assert(j <= al || j <= bl);
+ k = j+j;
+ t = BN_CTX_get(ctx);
+ if (t == NULL)
+ goto err;
+ if (al > j || bl > j)
+ {
+ if (bn_wexpand(t,k*4) == NULL) goto err;
+ if (bn_wexpand(rr,k*4) == NULL) goto err;
+ bn_mul_part_recursive(rr->d,a->d,b->d,
+ j,al-j,bl-j,t->d);
+ }
+ else /* al <= j || bl <= j */
+ {
+ if (bn_wexpand(t,k*2) == NULL) goto err;
+ if (bn_wexpand(rr,k*2) == NULL) goto err;
+ bn_mul_recursive(rr->d,a->d,b->d,
+ j,al-j,bl-j,t->d);
+ }
+ rr->top=top;
+ goto end;
+ }
+#if 0
+ if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA))
+ {
+ BIGNUM *tmp_bn = (BIGNUM *)b;
+ if (bn_wexpand(tmp_bn,al) == NULL) goto err;
+ tmp_bn->d[bl]=0;
+ bl++;
+ i--;
+ }
+ else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA))
+ {
+ BIGNUM *tmp_bn = (BIGNUM *)a;
+ if (bn_wexpand(tmp_bn,bl) == NULL) goto err;
+ tmp_bn->d[al]=0;
+ al++;
+ i++;
+ }
+ if (i == 0)
+ {
+ /* symmetric and > 4 */
+ /* 16 or larger */
+ j=BN_num_bits_word((BN_ULONG)al);
+ j=1<<(j-1);
+ k=j+j;
+ t = BN_CTX_get(ctx);
+ if (al == j) /* exact multiple */
+ {
+ if (bn_wexpand(t,k*2) == NULL) goto err;
+ if (bn_wexpand(rr,k*2) == NULL) goto err;
+ bn_mul_recursive(rr->d,a->d,b->d,al,t->d);
+ }
+ else
+ {
+ if (bn_wexpand(t,k*4) == NULL) goto err;
+ if (bn_wexpand(rr,k*4) == NULL) goto err;
+ bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d);
+ }
+ rr->top=top;
+ goto end;
+ }
+#endif
+ }
+#endif /* BN_RECURSION */
+ if (bn_wexpand(rr,top) == NULL) goto err;
+ rr->top=top;
+ bn_mul_normal(rr->d,a->d,al,b->d,bl);
+
+#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
+end:
+#endif
+ bn_correct_top(rr);
+ if (r != rr) BN_copy(r,rr);
+ ret=1;
+err:
+ bn_check_top(r);
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb)
+ {
+ BN_ULONG *rr;
+
+#ifdef BN_COUNT
+ fprintf(stderr," bn_mul_normal %d * %d\n",na,nb);
+#endif
+
+ if (na < nb)
+ {
+ int itmp;
+ BN_ULONG *ltmp;
+
+ itmp=na; na=nb; nb=itmp;
+ ltmp=a; a=b; b=ltmp;
+
+ }
+ rr= &(r[na]);
+ if (nb <= 0)
+ {
+ (void)bn_mul_words(r,a,na,0);
+ return;
+ }
+ else
+ rr[0]=bn_mul_words(r,a,na,b[0]);
+
+ for (;;)
+ {
+ if (--nb <= 0) return;
+ rr[1]=bn_mul_add_words(&(r[1]),a,na,b[1]);
+ if (--nb <= 0) return;
+ rr[2]=bn_mul_add_words(&(r[2]),a,na,b[2]);
+ if (--nb <= 0) return;
+ rr[3]=bn_mul_add_words(&(r[3]),a,na,b[3]);
+ if (--nb <= 0) return;
+ rr[4]=bn_mul_add_words(&(r[4]),a,na,b[4]);
+ rr+=4;
+ r+=4;
+ b+=4;
+ }
+ }
+
+void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr," bn_mul_low_normal %d * %d\n",n,n);
+#endif
+ bn_mul_words(r,a,n,b[0]);
+
+ for (;;)
+ {
+ if (--n <= 0) return;
+ bn_mul_add_words(&(r[1]),a,n,b[1]);
+ if (--n <= 0) return;
+ bn_mul_add_words(&(r[2]),a,n,b[2]);
+ if (--n <= 0) return;
+ bn_mul_add_words(&(r[3]),a,n,b[3]);
+ if (--n <= 0) return;
+ bn_mul_add_words(&(r[4]),a,n,b[4]);
+ r+=4;
+ b+=4;
+ }
+ }
diff --git a/openssl/crypto/bn/bn_nist.c b/openssl/crypto/bn/bn_nist.c
new file mode 100644
index 00000000..c6de0326
--- /dev/null
+++ b/openssl/crypto/bn/bn_nist.c
@@ -0,0 +1,844 @@
+/* crypto/bn/bn_nist.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include "bn_lcl.h"
+#include "cryptlib.h"
+
+
+#define BN_NIST_192_TOP (192+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_224_TOP (224+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_256_TOP (256+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_384_TOP (384+BN_BITS2-1)/BN_BITS2
+#define BN_NIST_521_TOP (521+BN_BITS2-1)/BN_BITS2
+
+/* pre-computed tables are "carry-less" values of modulus*(i+1) */
+#if BN_BITS2 == 64
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL},
+ {0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFCULL,0xFFFFFFFFFFFFFFFFULL}
+ };
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000002ULL,0x0000000000000001ULL,
+ 0xFFFFFFFFFFFFFFFEULL,0xFFFFFFFFFFFFFFFDULL,0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x0000000000000001ULL,0xFFFFFFFF00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL},
+ {0x0000000000000002ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFFULL} /* this one is "carry-full" */
+ };
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x0000000200000000ULL,
+ 0x0000000000000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFFFFFFFFFFULL,0x00000000FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFF00000001ULL},
+ {0xFFFFFFFFFFFFFFFEULL,0x00000001FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFE00000002ULL},
+ {0xFFFFFFFFFFFFFFFDULL,0x00000002FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFD00000003ULL},
+ {0xFFFFFFFFFFFFFFFCULL,0x00000003FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFC00000004ULL},
+ {0xFFFFFFFFFFFFFFFBULL,0x00000004FFFFFFFFULL,
+ 0x0000000000000000ULL,0xFFFFFFFB00000005ULL},
+ };
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x0000000000000001ULL,0xFFFFFFFE00000000ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x00000001FFFFFFFEULL,
+ 0x00000001FFFFFFFEULL,0x00000001FFFFFFFEULL,
+ 0xFFFFFFFE00000001ULL,0xFFFFFFFE00000002ULL
+ };
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0x00000000FFFFFFFFULL,0xFFFFFFFF00000000ULL,0xFFFFFFFFFFFFFFFEULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000002FFFFFFFDULL,0xFFFFFFFD00000000ULL,0xFFFFFFFFFFFFFFFCULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000003FFFFFFFCULL,0xFFFFFFFC00000000ULL,0xFFFFFFFFFFFFFFFBULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ {0x00000004FFFFFFFBULL,0xFFFFFFFB00000000ULL,0xFFFFFFFFFFFFFFFAULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL},
+ };
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0xFFFFFFFE00000001ULL,0x0000000200000000ULL,0xFFFFFFFE00000000ULL,
+ 0x0000000200000000ULL,0x0000000000000001ULL,0x0000000000000000ULL,
+ 0x00000001FFFFFFFEULL,0xFFFFFFFE00000000ULL,0xFFFFFFFFFFFFFFFDULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL
+ };
+static const BN_ULONG _nist_p_521[] =
+ {0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0x00000000000001FFULL};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x0000000000000001ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0x0000000000000000ULL,
+ 0x0000000000000000ULL,0x0000000000000000ULL,0xFFFFFFFFFFFFFC00ULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,0xFFFFFFFFFFFFFFFFULL,
+ 0xFFFFFFFFFFFFFFFFULL,0x000000000003FFFFULL
+ };
+#elif BN_BITS2 == 32
+static const BN_ULONG _nist_p_192[][BN_NIST_192_TOP] = {
+ {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
+ };
+static const BN_ULONG _nist_p_192_sqr[] = {
+ 0x00000001,0x00000000,0x00000002,0x00000000,0x00000001,0x00000000,
+ 0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
+static const BN_ULONG _nist_p_224[][BN_NIST_224_TOP] = {
+ {0x00000001,0x00000000,0x00000000,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0x00000002,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF}
+ };
+static const BN_ULONG _nist_p_224_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0x00000000,0x00000002,
+ 0x00000000,0x00000000,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF
+ };
+static const BN_ULONG _nist_p_256[][BN_NIST_256_TOP] = {
+ {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0x00000000,
+ 0x00000000,0x00000000,0x00000001,0xFFFFFFFF},
+ {0xFFFFFFFE,0xFFFFFFFF,0xFFFFFFFF,0x00000001,
+ 0x00000000,0x00000000,0x00000002,0xFFFFFFFE},
+ {0xFFFFFFFD,0xFFFFFFFF,0xFFFFFFFF,0x00000002,
+ 0x00000000,0x00000000,0x00000003,0xFFFFFFFD},
+ {0xFFFFFFFC,0xFFFFFFFF,0xFFFFFFFF,0x00000003,
+ 0x00000000,0x00000000,0x00000004,0xFFFFFFFC},
+ {0xFFFFFFFB,0xFFFFFFFF,0xFFFFFFFF,0x00000004,
+ 0x00000000,0x00000000,0x00000005,0xFFFFFFFB},
+ };
+static const BN_ULONG _nist_p_256_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0xFFFFFFFE,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFE,0x00000001,
+ 0xFFFFFFFE,0x00000001,0xFFFFFFFE,0x00000001,
+ 0x00000001,0xFFFFFFFE,0x00000002,0xFFFFFFFE
+ };
+static const BN_ULONG _nist_p_384[][BN_NIST_384_TOP] = {
+ {0xFFFFFFFF,0x00000000,0x00000000,0xFFFFFFFF,0xFFFFFFFE,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFD,0x00000002,0x00000000,0xFFFFFFFD,0xFFFFFFFC,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFC,0x00000003,0x00000000,0xFFFFFFFC,0xFFFFFFFB,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ {0xFFFFFFFB,0x00000004,0x00000000,0xFFFFFFFB,0xFFFFFFFA,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF},
+ };
+static const BN_ULONG _nist_p_384_sqr[] = {
+ 0x00000001,0xFFFFFFFE,0x00000000,0x00000002,0x00000000,0xFFFFFFFE,
+ 0x00000000,0x00000002,0x00000001,0x00000000,0x00000000,0x00000000,
+ 0xFFFFFFFE,0x00000001,0x00000000,0xFFFFFFFE,0xFFFFFFFD,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF
+ };
+static const BN_ULONG _nist_p_521[] = {0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0x000001FF};
+static const BN_ULONG _nist_p_521_sqr[] = {
+ 0x00000001,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,0x00000000,
+ 0x00000000,0x00000000,0x00000000,0x00000000,0xFFFFFC00,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,0xFFFFFFFF,
+ 0xFFFFFFFF,0xFFFFFFFF,0x0003FFFF
+ };
+#else
+#error "unsupported BN_BITS2"
+#endif
+
+
+static const BIGNUM _bignum_nist_p_192 =
+ {
+ (BN_ULONG *)_nist_p_192[0],
+ BN_NIST_192_TOP,
+ BN_NIST_192_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_224 =
+ {
+ (BN_ULONG *)_nist_p_224[0],
+ BN_NIST_224_TOP,
+ BN_NIST_224_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_256 =
+ {
+ (BN_ULONG *)_nist_p_256[0],
+ BN_NIST_256_TOP,
+ BN_NIST_256_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_384 =
+ {
+ (BN_ULONG *)_nist_p_384[0],
+ BN_NIST_384_TOP,
+ BN_NIST_384_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+static const BIGNUM _bignum_nist_p_521 =
+ {
+ (BN_ULONG *)_nist_p_521,
+ BN_NIST_521_TOP,
+ BN_NIST_521_TOP,
+ 0,
+ BN_FLG_STATIC_DATA
+ };
+
+
+const BIGNUM *BN_get0_nist_prime_192(void)
+ {
+ return &_bignum_nist_p_192;
+ }
+
+const BIGNUM *BN_get0_nist_prime_224(void)
+ {
+ return &_bignum_nist_p_224;
+ }
+
+const BIGNUM *BN_get0_nist_prime_256(void)
+ {
+ return &_bignum_nist_p_256;
+ }
+
+const BIGNUM *BN_get0_nist_prime_384(void)
+ {
+ return &_bignum_nist_p_384;
+ }
+
+const BIGNUM *BN_get0_nist_prime_521(void)
+ {
+ return &_bignum_nist_p_521;
+ }
+
+
+static void nist_cp_bn_0(BN_ULONG *buf, BN_ULONG *a, int top, int max)
+ {
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+
+#ifdef BN_DEBUG
+ OPENSSL_assert(top <= max);
+#endif
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ for (i = (max) - (top); i != 0; i--)
+ *_tmp1++ = (BN_ULONG) 0;
+ }
+
+static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
+ {
+ int i;
+ BN_ULONG *_tmp1 = (buf), *_tmp2 = (a);
+ for (i = (top); i != 0; i--)
+ *_tmp1++ = *_tmp2++;
+ }
+
+#if BN_BITS2 == 64
+#define bn_cp_64(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+#define bn_64_set_0(to, n) (to)[n] = (BN_ULONG)0;
+/*
+ * two following macros are implemented under assumption that they
+ * are called in a sequence with *ascending* n, i.e. as they are...
+ */
+#define bn_cp_32_naked(to, n, from, m) (((n)&1)?(to[(n)/2]|=((m)&1)?(from[(m)/2]&BN_MASK2h):(from[(m)/2]<<32))\
+ :(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
+#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
+#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
+#else
+#define bn_cp_64(to, n, from, m) \
+ { \
+ bn_cp_32(to, (n)*2, from, (m)*2); \
+ bn_cp_32(to, (n)*2+1, from, (m)*2+1); \
+ }
+#define bn_64_set_0(to, n) \
+ { \
+ bn_32_set_0(to, (n)*2); \
+ bn_32_set_0(to, (n)*2+1); \
+ }
+#if BN_BITS2 == 32
+#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
+#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
+#endif
+#endif /* BN_BITS2 != 64 */
+
+
+#define nist_set_192(to, from, a1, a2, a3) \
+ { \
+ bn_cp_64(to, 0, from, (a3) - 3) \
+ bn_cp_64(to, 1, from, (a2) - 3) \
+ bn_cp_64(to, 2, from, (a1) - 3) \
+ }
+
+int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ int carry;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_192_TOP],
+ buf[BN_NIST_192_TOP],
+ c_d[BN_NIST_192_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ static const BIGNUM _bignum_nist_p_192_sqr = {
+ (BN_ULONG *)_nist_p_192_sqr,
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ sizeof(_nist_p_192_sqr)/sizeof(_nist_p_192_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_192; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_192_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a) ? 1 : (BN_copy(r ,a) != NULL);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_192_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_192_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
+
+ nist_set_192(t_d, buf, 0, 3, 3);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 4, 4, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+ nist_set_192(t_d, buf, 5, 5, 5)
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
+
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
+ else
+ carry = 1;
+
+ /*
+ * we need 'if (carry==0 || result>=modulus) result-=modulus;'
+ * as comparison implies subtraction, we can write
+ * 'tmp=result-modulus; if (!carry || !borrow) result=tmp;'
+ * this is what happens below, but without explicit if:-) a.
+ */
+ mask = 0-(PTR_SIZE_INT)bn_sub_words(c_d,r_d,_nist_p_192[0],BN_NIST_192_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = (BN_ULONG *)
+ (((PTR_SIZE_INT)c_d&~mask) | ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_192_TOP);
+ r->top = BN_NIST_192_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+typedef BN_ULONG (*bn_addsub_f)(BN_ULONG *,const BN_ULONG *,const BN_ULONG *,int);
+
+#define nist_set_224(to, from, a1, a2, a3, a4, a5, a6, a7) \
+ { \
+ bn_cp_32(to, 0, from, (a7) - 7) \
+ bn_cp_32(to, 1, from, (a6) - 7) \
+ bn_cp_32(to, 2, from, (a5) - 7) \
+ bn_cp_32(to, 3, from, (a4) - 7) \
+ bn_cp_32(to, 4, from, (a3) - 7) \
+ bn_cp_32(to, 5, from, (a2) - 7) \
+ bn_cp_32(to, 6, from, (a1) - 7) \
+ }
+
+int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ int carry;
+ BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_224_TOP],
+ buf[BN_NIST_224_TOP],
+ c_d[BN_NIST_224_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT p; } u;
+ static const BIGNUM _bignum_nist_p_224_sqr = {
+ (BN_ULONG *)_nist_p_224_sqr,
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ sizeof(_nist_p_224_sqr)/sizeof(_nist_p_224_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+
+ field = &_bignum_nist_p_224; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_224_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_224_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_224_TOP);
+ }
+ else
+ r_d = a_d;
+
+#if BN_BITS2==64
+ /* copy upper 256 bits of 448 bit number ... */
+ nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
+ /* ... and right shift by 32 to obtain upper 224 bits */
+ nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
+ /* truncate lower part to 224 bits too */
+ r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
+#else
+ nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
+#endif
+ nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
+ carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 13, 12, 11, 10, 9, 8, 7);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+ nist_set_224(t_d, buf, 0, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_224_TOP);
+
+#if BN_BITS2==64
+ carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
+#endif
+ u.f = bn_sub_words;
+ if (carry > 0)
+ {
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_224[carry-1],BN_NIST_224_TOP);
+#if BN_BITS2==64
+ carry=(int)(~(r_d[BN_NIST_224_TOP-1]>>32))&1;
+#endif
+ }
+ else if (carry < 0)
+ {
+ /* it's a bit more comlicated logic in this case.
+ * if bn_add_words yields no carry, then result
+ * has to be adjusted by unconditionally *adding*
+ * the modulus. but if it does, then result has
+ * to be compared to the modulus and conditionally
+ * adjusted by *subtracting* the latter. */
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_224[-carry-1],BN_NIST_224_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ /* otherwise it's effectively same as in BN_nist_mod_192... */
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_224[0],BN_NIST_224_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_224_TOP);
+ r->top = BN_NIST_224_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define nist_set_256(to, from, a1, a2, a3, a4, a5, a6, a7, a8) \
+ { \
+ bn_cp_32(to, 0, from, (a8) - 8) \
+ bn_cp_32(to, 1, from, (a7) - 8) \
+ bn_cp_32(to, 2, from, (a6) - 8) \
+ bn_cp_32(to, 3, from, (a5) - 8) \
+ bn_cp_32(to, 4, from, (a4) - 8) \
+ bn_cp_32(to, 5, from, (a3) - 8) \
+ bn_cp_32(to, 6, from, (a2) - 8) \
+ bn_cp_32(to, 7, from, (a1) - 8) \
+ }
+
+int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *a_d = a->d, *r_d;
+ BN_ULONG t_d[BN_NIST_256_TOP],
+ buf[BN_NIST_256_TOP],
+ c_d[BN_NIST_256_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT p; } u;
+ static const BIGNUM _bignum_nist_p_256_sqr = {
+ (BN_ULONG *)_nist_p_256_sqr,
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ sizeof(_nist_p_256_sqr)/sizeof(_nist_p_256_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_256; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_256_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_256_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_256_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
+
+ /*S1*/
+ nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
+ /*S2*/
+ nist_set_256(c_d, buf, 0, 15, 14, 13, 12, 0, 0, 0);
+ carry = (int)bn_add_words(t_d, t_d, c_d, BN_NIST_256_TOP);
+ /* left shift */
+ {
+ register BN_ULONG *ap,t,c;
+ ap = t_d;
+ c=0;
+ for (i = BN_NIST_256_TOP; i != 0; --i)
+ {
+ t= *ap;
+ *(ap++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ carry <<= 1;
+ carry |= c;
+ }
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*S3*/
+ nist_set_256(t_d, buf, 15, 14, 0, 0, 0, 10, 9, 8);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*S4*/
+ nist_set_256(t_d, buf, 8, 13, 15, 14, 13, 11, 10, 9);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D1*/
+ nist_set_256(t_d, buf, 10, 8, 0, 0, 0, 13, 12, 11);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D2*/
+ nist_set_256(t_d, buf, 11, 9, 0, 0, 15, 14, 13, 12);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D3*/
+ nist_set_256(t_d, buf, 12, 0, 10, 9, 8, 15, 14, 13);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+ /*D4*/
+ nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_256[carry-1],BN_NIST_256_TOP);
+ else if (carry < 0)
+ {
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_256[-carry-1],BN_NIST_256_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_256[0],BN_NIST_256_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_256_TOP);
+ r->top = BN_NIST_256_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define nist_set_384(to,from,a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12) \
+ { \
+ bn_cp_32(to, 0, from, (a12) - 12) \
+ bn_cp_32(to, 1, from, (a11) - 12) \
+ bn_cp_32(to, 2, from, (a10) - 12) \
+ bn_cp_32(to, 3, from, (a9) - 12) \
+ bn_cp_32(to, 4, from, (a8) - 12) \
+ bn_cp_32(to, 5, from, (a7) - 12) \
+ bn_cp_32(to, 6, from, (a6) - 12) \
+ bn_cp_32(to, 7, from, (a5) - 12) \
+ bn_cp_32(to, 8, from, (a4) - 12) \
+ bn_cp_32(to, 9, from, (a3) - 12) \
+ bn_cp_32(to, 10, from, (a2) - 12) \
+ bn_cp_32(to, 11, from, (a1) - 12) \
+ }
+
+int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int i, top = a->top;
+ int carry = 0;
+ register BN_ULONG *r_d, *a_d = a->d;
+ BN_ULONG t_d[BN_NIST_384_TOP],
+ buf[BN_NIST_384_TOP],
+ c_d[BN_NIST_384_TOP],
+ *res;
+ PTR_SIZE_INT mask;
+ union { bn_addsub_f f; PTR_SIZE_INT p; } u;
+ static const BIGNUM _bignum_nist_p_384_sqr = {
+ (BN_ULONG *)_nist_p_384_sqr,
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ sizeof(_nist_p_384_sqr)/sizeof(_nist_p_384_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+
+ field = &_bignum_nist_p_384; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_384_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r, BN_NIST_384_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d, a_d, BN_NIST_384_TOP);
+ }
+ else
+ r_d = a_d;
+
+ nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
+
+ /*S1*/
+ nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
+ /* left shift */
+ {
+ register BN_ULONG *ap,t,c;
+ ap = t_d;
+ c=0;
+ for (i = 3; i != 0; --i)
+ {
+ t= *ap;
+ *(ap++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ *ap=c;
+ }
+ carry = (int)bn_add_words(r_d+(128/BN_BITS2), r_d+(128/BN_BITS2),
+ t_d, BN_NIST_256_TOP);
+ /*S2 */
+ carry += (int)bn_add_words(r_d, r_d, buf, BN_NIST_384_TOP);
+ /*S3*/
+ nist_set_384(t_d,buf,20,19,18,17,16,15,14,13,12,23,22,21);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S4*/
+ nist_set_384(t_d,buf,19,18,17,16,15,14,13,12,20,0,23,0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S5*/
+ nist_set_384(t_d, buf,0,0,0,0,23,22,21,20,0,0,0,0);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*S6*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,23,22,21,0,0,20);
+ carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D1*/
+ nist_set_384(t_d,buf,22,21,20,19,18,17,16,15,14,13,12,23);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D2*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,22,21,20,0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+ /*D3*/
+ nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
+ carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
+
+ /* see BN_nist_mod_224 for explanation */
+ u.f = bn_sub_words;
+ if (carry > 0)
+ carry = (int)bn_sub_words(r_d,r_d,_nist_p_384[carry-1],BN_NIST_384_TOP);
+ else if (carry < 0)
+ {
+ carry = (int)bn_add_words(r_d,r_d,_nist_p_384[-carry-1],BN_NIST_384_TOP);
+ mask = 0-(PTR_SIZE_INT)carry;
+ u.p = ((PTR_SIZE_INT)bn_sub_words&mask) |
+ ((PTR_SIZE_INT)bn_add_words&~mask);
+ }
+ else
+ carry = 1;
+
+ mask = 0-(PTR_SIZE_INT)(*u.f)(c_d,r_d,_nist_p_384[0],BN_NIST_384_TOP);
+ mask &= 0-(PTR_SIZE_INT)carry;
+ res = (BN_ULONG *)(((PTR_SIZE_INT)c_d&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d, res, BN_NIST_384_TOP);
+ r->top = BN_NIST_384_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
+
+#define BN_NIST_521_RSHIFT (521%BN_BITS2)
+#define BN_NIST_521_LSHIFT (BN_BITS2-BN_NIST_521_RSHIFT)
+#define BN_NIST_521_TOP_MASK ((BN_ULONG)BN_MASK2>>BN_NIST_521_LSHIFT)
+
+int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
+ BN_CTX *ctx)
+ {
+ int top = a->top, i;
+ BN_ULONG *r_d, *a_d = a->d,
+ t_d[BN_NIST_521_TOP],
+ val,tmp,*res;
+ PTR_SIZE_INT mask;
+ static const BIGNUM _bignum_nist_p_521_sqr = {
+ (BN_ULONG *)_nist_p_521_sqr,
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ sizeof(_nist_p_521_sqr)/sizeof(_nist_p_521_sqr[0]),
+ 0,BN_FLG_STATIC_DATA };
+
+ field = &_bignum_nist_p_521; /* just to make sure */
+
+ if (BN_is_negative(a) || BN_ucmp(a,&_bignum_nist_p_521_sqr)>=0)
+ return BN_nnmod(r, a, field, ctx);
+
+ i = BN_ucmp(field, a);
+ if (i == 0)
+ {
+ BN_zero(r);
+ return 1;
+ }
+ else if (i > 0)
+ return (r == a)? 1 : (BN_copy(r ,a) != NULL);
+
+ if (r != a)
+ {
+ if (!bn_wexpand(r,BN_NIST_521_TOP))
+ return 0;
+ r_d = r->d;
+ nist_cp_bn(r_d,a_d, BN_NIST_521_TOP);
+ }
+ else
+ r_d = a_d;
+
+ /* upper 521 bits, copy ... */
+ nist_cp_bn_0(t_d,a_d + (BN_NIST_521_TOP-1), top - (BN_NIST_521_TOP-1),BN_NIST_521_TOP);
+ /* ... and right shift */
+ for (val=t_d[0],i=0; i<BN_NIST_521_TOP-1; i++)
+ {
+ tmp = val>>BN_NIST_521_RSHIFT;
+ val = t_d[i+1];
+ t_d[i] = (tmp | val<<BN_NIST_521_LSHIFT) & BN_MASK2;
+ }
+ t_d[i] = val>>BN_NIST_521_RSHIFT;
+ /* lower 521 bits */
+ r_d[i] &= BN_NIST_521_TOP_MASK;
+
+ bn_add_words(r_d,r_d,t_d,BN_NIST_521_TOP);
+ mask = 0-(PTR_SIZE_INT)bn_sub_words(t_d,r_d,_nist_p_521,BN_NIST_521_TOP);
+ res = (BN_ULONG *)(((PTR_SIZE_INT)t_d&~mask) |
+ ((PTR_SIZE_INT)r_d&mask));
+ nist_cp_bn(r_d,res,BN_NIST_521_TOP);
+ r->top = BN_NIST_521_TOP;
+ bn_correct_top(r);
+
+ return 1;
+ }
diff --git a/openssl/crypto/bn/bn_prime.c b/openssl/crypto/bn/bn_prime.c
new file mode 100644
index 00000000..7b25979d
--- /dev/null
+++ b/openssl/crypto/bn/bn_prime.c
@@ -0,0 +1,494 @@
+/* crypto/bn/bn_prime.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include <stdio.h>
+#include <time.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+#include <openssl/rand.h>
+
+/* NB: these functions have been "upgraded", the deprecated versions (which are
+ * compatibility wrappers using these functions) are in bn_depr.c.
+ * - Geoff
+ */
+
+/* The quick sieve algorithm approach to weeding out primes is
+ * Philip Zimmermann's, as implemented in PGP. I have had a read of
+ * his comments and implemented my own version.
+ */
+#include "bn_prime.h"
+
+static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
+ const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont);
+static int probable_prime(BIGNUM *rnd, int bits);
+static int probable_prime_dh(BIGNUM *rnd, int bits,
+ const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
+static int probable_prime_dh_safe(BIGNUM *rnd, int bits,
+ const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx);
+
+int BN_GENCB_call(BN_GENCB *cb, int a, int b)
+ {
+ /* No callback means continue */
+ if(!cb) return 1;
+ switch(cb->ver)
+ {
+ case 1:
+ /* Deprecated-style callbacks */
+ if(!cb->cb.cb_1)
+ return 1;
+ cb->cb.cb_1(a, b, cb->arg);
+ return 1;
+ case 2:
+ /* New-style callbacks */
+ return cb->cb.cb_2(a, b, cb);
+ default:
+ break;
+ }
+ /* Unrecognised callback type */
+ return 0;
+ }
+
+int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe,
+ const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb)
+ {
+ BIGNUM *t;
+ int found=0;
+ int i,j,c1=0;
+ BN_CTX *ctx;
+ int checks = BN_prime_checks_for_size(bits);
+
+ ctx=BN_CTX_new();
+ if (ctx == NULL) goto err;
+ BN_CTX_start(ctx);
+ t = BN_CTX_get(ctx);
+ if(!t) goto err;
+loop:
+ /* make a random number and set the top and bottom bits */
+ if (add == NULL)
+ {
+ if (!probable_prime(ret,bits)) goto err;
+ }
+ else
+ {
+ if (safe)
+ {
+ if (!probable_prime_dh_safe(ret,bits,add,rem,ctx))
+ goto err;
+ }
+ else
+ {
+ if (!probable_prime_dh(ret,bits,add,rem,ctx))
+ goto err;
+ }
+ }
+ /* if (BN_mod_word(ret,(BN_ULONG)3) == 1) goto loop; */
+ if(!BN_GENCB_call(cb, 0, c1++))
+ /* aborted */
+ goto err;
+
+ if (!safe)
+ {
+ i=BN_is_prime_fasttest_ex(ret,checks,ctx,0,cb);
+ if (i == -1) goto err;
+ if (i == 0) goto loop;
+ }
+ else
+ {
+ /* for "safe prime" generation,
+ * check that (p-1)/2 is prime.
+ * Since a prime is odd, We just
+ * need to divide by 2 */
+ if (!BN_rshift1(t,ret)) goto err;
+
+ for (i=0; i<checks; i++)
+ {
+ j=BN_is_prime_fasttest_ex(ret,1,ctx,0,cb);
+ if (j == -1) goto err;
+ if (j == 0) goto loop;
+
+ j=BN_is_prime_fasttest_ex(t,1,ctx,0,cb);
+ if (j == -1) goto err;
+ if (j == 0) goto loop;
+
+ if(!BN_GENCB_call(cb, 2, c1-1))
+ goto err;
+ /* We have a safe prime test pass */
+ }
+ }
+ /* we have a prime :-) */
+ found = 1;
+err:
+ if (ctx != NULL)
+ {
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+ }
+ bn_check_top(ret);
+ return found;
+ }
+
+int BN_is_prime_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed, BN_GENCB *cb)
+ {
+ return BN_is_prime_fasttest_ex(a, checks, ctx_passed, 0, cb);
+ }
+
+int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
+ int do_trial_division, BN_GENCB *cb)
+ {
+ int i, j, ret = -1;
+ int k;
+ BN_CTX *ctx = NULL;
+ BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
+ BN_MONT_CTX *mont = NULL;
+ const BIGNUM *A = NULL;
+
+ if (BN_cmp(a, BN_value_one()) <= 0)
+ return 0;
+
+ if (checks == BN_prime_checks)
+ checks = BN_prime_checks_for_size(BN_num_bits(a));
+
+ /* first look for small factors */
+ if (!BN_is_odd(a))
+ /* a is even => a is prime if and only if a == 2 */
+ return BN_is_word(a, 2);
+ if (do_trial_division)
+ {
+ for (i = 1; i < NUMPRIMES; i++)
+ if (BN_mod_word(a, primes[i]) == 0)
+ return 0;
+ if(!BN_GENCB_call(cb, 1, -1))
+ goto err;
+ }
+
+ if (ctx_passed != NULL)
+ ctx = ctx_passed;
+ else
+ if ((ctx=BN_CTX_new()) == NULL)
+ goto err;
+ BN_CTX_start(ctx);
+
+ /* A := abs(a) */
+ if (a->neg)
+ {
+ BIGNUM *t;
+ if ((t = BN_CTX_get(ctx)) == NULL) goto err;
+ BN_copy(t, a);
+ t->neg = 0;
+ A = t;
+ }
+ else
+ A = a;
+ A1 = BN_CTX_get(ctx);
+ A1_odd = BN_CTX_get(ctx);
+ check = BN_CTX_get(ctx);
+ if (check == NULL) goto err;
+
+ /* compute A1 := A - 1 */
+ if (!BN_copy(A1, A))
+ goto err;
+ if (!BN_sub_word(A1, 1))
+ goto err;
+ if (BN_is_zero(A1))
+ {
+ ret = 0;
+ goto err;
+ }
+
+ /* write A1 as A1_odd * 2^k */
+ k = 1;
+ while (!BN_is_bit_set(A1, k))
+ k++;
+ if (!BN_rshift(A1_odd, A1, k))
+ goto err;
+
+ /* Montgomery setup for computations mod A */
+ mont = BN_MONT_CTX_new();
+ if (mont == NULL)
+ goto err;
+ if (!BN_MONT_CTX_set(mont, A, ctx))
+ goto err;
+
+ for (i = 0; i < checks; i++)
+ {
+ if (!BN_pseudo_rand_range(check, A1))
+ goto err;
+ if (!BN_add_word(check, 1))
+ goto err;
+ /* now 1 <= check < A */
+
+ j = witness(check, A, A1, A1_odd, k, ctx, mont);
+ if (j == -1) goto err;
+ if (j)
+ {
+ ret=0;
+ goto err;
+ }
+ if(!BN_GENCB_call(cb, 1, i))
+ goto err;
+ }
+ ret=1;
+err:
+ if (ctx != NULL)
+ {
+ BN_CTX_end(ctx);
+ if (ctx_passed == NULL)
+ BN_CTX_free(ctx);
+ }
+ if (mont != NULL)
+ BN_MONT_CTX_free(mont);
+
+ return(ret);
+ }
+
+static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1,
+ const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont)
+ {
+ if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */
+ return -1;
+ if (BN_is_one(w))
+ return 0; /* probably prime */
+ if (BN_cmp(w, a1) == 0)
+ return 0; /* w == -1 (mod a), 'a' is probably prime */
+ while (--k)
+ {
+ if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */
+ return -1;
+ if (BN_is_one(w))
+ return 1; /* 'a' is composite, otherwise a previous 'w' would
+ * have been == -1 (mod 'a') */
+ if (BN_cmp(w, a1) == 0)
+ return 0; /* w == -1 (mod a), 'a' is probably prime */
+ }
+ /* If we get here, 'w' is the (a-1)/2-th power of the original 'w',
+ * and it is neither -1 nor +1 -- so 'a' cannot be prime */
+ bn_check_top(w);
+ return 1;
+ }
+
+static int probable_prime(BIGNUM *rnd, int bits)
+ {
+ int i;
+ prime_t mods[NUMPRIMES];
+ BN_ULONG delta,maxdelta;
+
+again:
+ if (!BN_rand(rnd,bits,1,1)) return(0);
+ /* we now have a random number 'rand' to test. */
+ for (i=1; i<NUMPRIMES; i++)
+ mods[i]=(prime_t)BN_mod_word(rnd,(BN_ULONG)primes[i]);
+ maxdelta=BN_MASK2 - primes[NUMPRIMES-1];
+ delta=0;
+ loop: for (i=1; i<NUMPRIMES; i++)
+ {
+ /* check that rnd is not a prime and also
+ * that gcd(rnd-1,primes) == 1 (except for 2) */
+ if (((mods[i]+delta)%primes[i]) <= 1)
+ {
+ delta+=2;
+ if (delta > maxdelta) goto again;
+ goto loop;
+ }
+ }
+ if (!BN_add_word(rnd,delta)) return(0);
+ bn_check_top(rnd);
+ return(1);
+ }
+
+static int probable_prime_dh(BIGNUM *rnd, int bits,
+ const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx)
+ {
+ int i,ret=0;
+ BIGNUM *t1;
+
+ BN_CTX_start(ctx);
+ if ((t1 = BN_CTX_get(ctx)) == NULL) goto err;
+
+ if (!BN_rand(rnd,bits,0,1)) goto err;
+
+ /* we need ((rnd-rem) % add) == 0 */
+
+ if (!BN_mod(t1,rnd,add,ctx)) goto err;
+ if (!BN_sub(rnd,rnd,t1)) goto err;
+ if (rem == NULL)
+ { if (!BN_add_word(rnd,1)) goto err; }
+ else
+ { if (!BN_add(rnd,rnd,rem)) goto err; }
+
+ /* we now have a random number 'rand' to test. */
+
+ loop: for (i=1; i<NUMPRIMES; i++)
+ {
+ /* check that rnd is a prime */
+ if (BN_mod_word(rnd,(BN_ULONG)primes[i]) <= 1)
+ {
+ if (!BN_add(rnd,rnd,add)) goto err;
+ goto loop;
+ }
+ }
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(rnd);
+ return(ret);
+ }
+
+static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd,
+ const BIGNUM *rem, BN_CTX *ctx)
+ {
+ int i,ret=0;
+ BIGNUM *t1,*qadd,*q;
+
+ bits--;
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ q = BN_CTX_get(ctx);
+ qadd = BN_CTX_get(ctx);
+ if (qadd == NULL) goto err;
+
+ if (!BN_rshift1(qadd,padd)) goto err;
+
+ if (!BN_rand(q,bits,0,1)) goto err;
+
+ /* we need ((rnd-rem) % add) == 0 */
+ if (!BN_mod(t1,q,qadd,ctx)) goto err;
+ if (!BN_sub(q,q,t1)) goto err;
+ if (rem == NULL)
+ { if (!BN_add_word(q,1)) goto err; }
+ else
+ {
+ if (!BN_rshift1(t1,rem)) goto err;
+ if (!BN_add(q,q,t1)) goto err;
+ }
+
+ /* we now have a random number 'rand' to test. */
+ if (!BN_lshift1(p,q)) goto err;
+ if (!BN_add_word(p,1)) goto err;
+
+ loop: for (i=1; i<NUMPRIMES; i++)
+ {
+ /* check that p and q are prime */
+ /* check that for p and q
+ * gcd(p-1,primes) == 1 (except for 2) */
+ if ( (BN_mod_word(p,(BN_ULONG)primes[i]) == 0) ||
+ (BN_mod_word(q,(BN_ULONG)primes[i]) == 0))
+ {
+ if (!BN_add(p,p,padd)) goto err;
+ if (!BN_add(q,q,qadd)) goto err;
+ goto loop;
+ }
+ }
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(p);
+ return(ret);
+ }
diff --git a/openssl/crypto/bn/bn_prime.h b/openssl/crypto/bn/bn_prime.h
new file mode 100644
index 00000000..51d2194f
--- /dev/null
+++ b/openssl/crypto/bn/bn_prime.h
@@ -0,0 +1,327 @@
+/* Auto generated by bn_prime.pl */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#ifndef EIGHT_BIT
+#define NUMPRIMES 2048
+typedef unsigned short prime_t;
+#else
+#define NUMPRIMES 54
+typedef unsigned char prime_t;
+#endif
+static const prime_t primes[NUMPRIMES]=
+ {
+ 2, 3, 5, 7, 11, 13, 17, 19,
+ 23, 29, 31, 37, 41, 43, 47, 53,
+ 59, 61, 67, 71, 73, 79, 83, 89,
+ 97, 101, 103, 107, 109, 113, 127, 131,
+ 137, 139, 149, 151, 157, 163, 167, 173,
+ 179, 181, 191, 193, 197, 199, 211, 223,
+ 227, 229, 233, 239, 241, 251,
+#ifndef EIGHT_BIT
+ 257, 263,
+ 269, 271, 277, 281, 283, 293, 307, 311,
+ 313, 317, 331, 337, 347, 349, 353, 359,
+ 367, 373, 379, 383, 389, 397, 401, 409,
+ 419, 421, 431, 433, 439, 443, 449, 457,
+ 461, 463, 467, 479, 487, 491, 499, 503,
+ 509, 521, 523, 541, 547, 557, 563, 569,
+ 571, 577, 587, 593, 599, 601, 607, 613,
+ 617, 619, 631, 641, 643, 647, 653, 659,
+ 661, 673, 677, 683, 691, 701, 709, 719,
+ 727, 733, 739, 743, 751, 757, 761, 769,
+ 773, 787, 797, 809, 811, 821, 823, 827,
+ 829, 839, 853, 857, 859, 863, 877, 881,
+ 883, 887, 907, 911, 919, 929, 937, 941,
+ 947, 953, 967, 971, 977, 983, 991, 997,
+ 1009,1013,1019,1021,1031,1033,1039,1049,
+ 1051,1061,1063,1069,1087,1091,1093,1097,
+ 1103,1109,1117,1123,1129,1151,1153,1163,
+ 1171,1181,1187,1193,1201,1213,1217,1223,
+ 1229,1231,1237,1249,1259,1277,1279,1283,
+ 1289,1291,1297,1301,1303,1307,1319,1321,
+ 1327,1361,1367,1373,1381,1399,1409,1423,
+ 1427,1429,1433,1439,1447,1451,1453,1459,
+ 1471,1481,1483,1487,1489,1493,1499,1511,
+ 1523,1531,1543,1549,1553,1559,1567,1571,
+ 1579,1583,1597,1601,1607,1609,1613,1619,
+ 1621,1627,1637,1657,1663,1667,1669,1693,
+ 1697,1699,1709,1721,1723,1733,1741,1747,
+ 1753,1759,1777,1783,1787,1789,1801,1811,
+ 1823,1831,1847,1861,1867,1871,1873,1877,
+ 1879,1889,1901,1907,1913,1931,1933,1949,
+ 1951,1973,1979,1987,1993,1997,1999,2003,
+ 2011,2017,2027,2029,2039,2053,2063,2069,
+ 2081,2083,2087,2089,2099,2111,2113,2129,
+ 2131,2137,2141,2143,2153,2161,2179,2203,
+ 2207,2213,2221,2237,2239,2243,2251,2267,
+ 2269,2273,2281,2287,2293,2297,2309,2311,
+ 2333,2339,2341,2347,2351,2357,2371,2377,
+ 2381,2383,2389,2393,2399,2411,2417,2423,
+ 2437,2441,2447,2459,2467,2473,2477,2503,
+ 2521,2531,2539,2543,2549,2551,2557,2579,
+ 2591,2593,2609,2617,2621,2633,2647,2657,
+ 2659,2663,2671,2677,2683,2687,2689,2693,
+ 2699,2707,2711,2713,2719,2729,2731,2741,
+ 2749,2753,2767,2777,2789,2791,2797,2801,
+ 2803,2819,2833,2837,2843,2851,2857,2861,
+ 2879,2887,2897,2903,2909,2917,2927,2939,
+ 2953,2957,2963,2969,2971,2999,3001,3011,
+ 3019,3023,3037,3041,3049,3061,3067,3079,
+ 3083,3089,3109,3119,3121,3137,3163,3167,
+ 3169,3181,3187,3191,3203,3209,3217,3221,
+ 3229,3251,3253,3257,3259,3271,3299,3301,
+ 3307,3313,3319,3323,3329,3331,3343,3347,
+ 3359,3361,3371,3373,3389,3391,3407,3413,
+ 3433,3449,3457,3461,3463,3467,3469,3491,
+ 3499,3511,3517,3527,3529,3533,3539,3541,
+ 3547,3557,3559,3571,3581,3583,3593,3607,
+ 3613,3617,3623,3631,3637,3643,3659,3671,
+ 3673,3677,3691,3697,3701,3709,3719,3727,
+ 3733,3739,3761,3767,3769,3779,3793,3797,
+ 3803,3821,3823,3833,3847,3851,3853,3863,
+ 3877,3881,3889,3907,3911,3917,3919,3923,
+ 3929,3931,3943,3947,3967,3989,4001,4003,
+ 4007,4013,4019,4021,4027,4049,4051,4057,
+ 4073,4079,4091,4093,4099,4111,4127,4129,
+ 4133,4139,4153,4157,4159,4177,4201,4211,
+ 4217,4219,4229,4231,4241,4243,4253,4259,
+ 4261,4271,4273,4283,4289,4297,4327,4337,
+ 4339,4349,4357,4363,4373,4391,4397,4409,
+ 4421,4423,4441,4447,4451,4457,4463,4481,
+ 4483,4493,4507,4513,4517,4519,4523,4547,
+ 4549,4561,4567,4583,4591,4597,4603,4621,
+ 4637,4639,4643,4649,4651,4657,4663,4673,
+ 4679,4691,4703,4721,4723,4729,4733,4751,
+ 4759,4783,4787,4789,4793,4799,4801,4813,
+ 4817,4831,4861,4871,4877,4889,4903,4909,
+ 4919,4931,4933,4937,4943,4951,4957,4967,
+ 4969,4973,4987,4993,4999,5003,5009,5011,
+ 5021,5023,5039,5051,5059,5077,5081,5087,
+ 5099,5101,5107,5113,5119,5147,5153,5167,
+ 5171,5179,5189,5197,5209,5227,5231,5233,
+ 5237,5261,5273,5279,5281,5297,5303,5309,
+ 5323,5333,5347,5351,5381,5387,5393,5399,
+ 5407,5413,5417,5419,5431,5437,5441,5443,
+ 5449,5471,5477,5479,5483,5501,5503,5507,
+ 5519,5521,5527,5531,5557,5563,5569,5573,
+ 5581,5591,5623,5639,5641,5647,5651,5653,
+ 5657,5659,5669,5683,5689,5693,5701,5711,
+ 5717,5737,5741,5743,5749,5779,5783,5791,
+ 5801,5807,5813,5821,5827,5839,5843,5849,
+ 5851,5857,5861,5867,5869,5879,5881,5897,
+ 5903,5923,5927,5939,5953,5981,5987,6007,
+ 6011,6029,6037,6043,6047,6053,6067,6073,
+ 6079,6089,6091,6101,6113,6121,6131,6133,
+ 6143,6151,6163,6173,6197,6199,6203,6211,
+ 6217,6221,6229,6247,6257,6263,6269,6271,
+ 6277,6287,6299,6301,6311,6317,6323,6329,
+ 6337,6343,6353,6359,6361,6367,6373,6379,
+ 6389,6397,6421,6427,6449,6451,6469,6473,
+ 6481,6491,6521,6529,6547,6551,6553,6563,
+ 6569,6571,6577,6581,6599,6607,6619,6637,
+ 6653,6659,6661,6673,6679,6689,6691,6701,
+ 6703,6709,6719,6733,6737,6761,6763,6779,
+ 6781,6791,6793,6803,6823,6827,6829,6833,
+ 6841,6857,6863,6869,6871,6883,6899,6907,
+ 6911,6917,6947,6949,6959,6961,6967,6971,
+ 6977,6983,6991,6997,7001,7013,7019,7027,
+ 7039,7043,7057,7069,7079,7103,7109,7121,
+ 7127,7129,7151,7159,7177,7187,7193,7207,
+ 7211,7213,7219,7229,7237,7243,7247,7253,
+ 7283,7297,7307,7309,7321,7331,7333,7349,
+ 7351,7369,7393,7411,7417,7433,7451,7457,
+ 7459,7477,7481,7487,7489,7499,7507,7517,
+ 7523,7529,7537,7541,7547,7549,7559,7561,
+ 7573,7577,7583,7589,7591,7603,7607,7621,
+ 7639,7643,7649,7669,7673,7681,7687,7691,
+ 7699,7703,7717,7723,7727,7741,7753,7757,
+ 7759,7789,7793,7817,7823,7829,7841,7853,
+ 7867,7873,7877,7879,7883,7901,7907,7919,
+ 7927,7933,7937,7949,7951,7963,7993,8009,
+ 8011,8017,8039,8053,8059,8069,8081,8087,
+ 8089,8093,8101,8111,8117,8123,8147,8161,
+ 8167,8171,8179,8191,8209,8219,8221,8231,
+ 8233,8237,8243,8263,8269,8273,8287,8291,
+ 8293,8297,8311,8317,8329,8353,8363,8369,
+ 8377,8387,8389,8419,8423,8429,8431,8443,
+ 8447,8461,8467,8501,8513,8521,8527,8537,
+ 8539,8543,8563,8573,8581,8597,8599,8609,
+ 8623,8627,8629,8641,8647,8663,8669,8677,
+ 8681,8689,8693,8699,8707,8713,8719,8731,
+ 8737,8741,8747,8753,8761,8779,8783,8803,
+ 8807,8819,8821,8831,8837,8839,8849,8861,
+ 8863,8867,8887,8893,8923,8929,8933,8941,
+ 8951,8963,8969,8971,8999,9001,9007,9011,
+ 9013,9029,9041,9043,9049,9059,9067,9091,
+ 9103,9109,9127,9133,9137,9151,9157,9161,
+ 9173,9181,9187,9199,9203,9209,9221,9227,
+ 9239,9241,9257,9277,9281,9283,9293,9311,
+ 9319,9323,9337,9341,9343,9349,9371,9377,
+ 9391,9397,9403,9413,9419,9421,9431,9433,
+ 9437,9439,9461,9463,9467,9473,9479,9491,
+ 9497,9511,9521,9533,9539,9547,9551,9587,
+ 9601,9613,9619,9623,9629,9631,9643,9649,
+ 9661,9677,9679,9689,9697,9719,9721,9733,
+ 9739,9743,9749,9767,9769,9781,9787,9791,
+ 9803,9811,9817,9829,9833,9839,9851,9857,
+ 9859,9871,9883,9887,9901,9907,9923,9929,
+ 9931,9941,9949,9967,9973,10007,10009,10037,
+ 10039,10061,10067,10069,10079,10091,10093,10099,
+ 10103,10111,10133,10139,10141,10151,10159,10163,
+ 10169,10177,10181,10193,10211,10223,10243,10247,
+ 10253,10259,10267,10271,10273,10289,10301,10303,
+ 10313,10321,10331,10333,10337,10343,10357,10369,
+ 10391,10399,10427,10429,10433,10453,10457,10459,
+ 10463,10477,10487,10499,10501,10513,10529,10531,
+ 10559,10567,10589,10597,10601,10607,10613,10627,
+ 10631,10639,10651,10657,10663,10667,10687,10691,
+ 10709,10711,10723,10729,10733,10739,10753,10771,
+ 10781,10789,10799,10831,10837,10847,10853,10859,
+ 10861,10867,10883,10889,10891,10903,10909,10937,
+ 10939,10949,10957,10973,10979,10987,10993,11003,
+ 11027,11047,11057,11059,11069,11071,11083,11087,
+ 11093,11113,11117,11119,11131,11149,11159,11161,
+ 11171,11173,11177,11197,11213,11239,11243,11251,
+ 11257,11261,11273,11279,11287,11299,11311,11317,
+ 11321,11329,11351,11353,11369,11383,11393,11399,
+ 11411,11423,11437,11443,11447,11467,11471,11483,
+ 11489,11491,11497,11503,11519,11527,11549,11551,
+ 11579,11587,11593,11597,11617,11621,11633,11657,
+ 11677,11681,11689,11699,11701,11717,11719,11731,
+ 11743,11777,11779,11783,11789,11801,11807,11813,
+ 11821,11827,11831,11833,11839,11863,11867,11887,
+ 11897,11903,11909,11923,11927,11933,11939,11941,
+ 11953,11959,11969,11971,11981,11987,12007,12011,
+ 12037,12041,12043,12049,12071,12073,12097,12101,
+ 12107,12109,12113,12119,12143,12149,12157,12161,
+ 12163,12197,12203,12211,12227,12239,12241,12251,
+ 12253,12263,12269,12277,12281,12289,12301,12323,
+ 12329,12343,12347,12373,12377,12379,12391,12401,
+ 12409,12413,12421,12433,12437,12451,12457,12473,
+ 12479,12487,12491,12497,12503,12511,12517,12527,
+ 12539,12541,12547,12553,12569,12577,12583,12589,
+ 12601,12611,12613,12619,12637,12641,12647,12653,
+ 12659,12671,12689,12697,12703,12713,12721,12739,
+ 12743,12757,12763,12781,12791,12799,12809,12821,
+ 12823,12829,12841,12853,12889,12893,12899,12907,
+ 12911,12917,12919,12923,12941,12953,12959,12967,
+ 12973,12979,12983,13001,13003,13007,13009,13033,
+ 13037,13043,13049,13063,13093,13099,13103,13109,
+ 13121,13127,13147,13151,13159,13163,13171,13177,
+ 13183,13187,13217,13219,13229,13241,13249,13259,
+ 13267,13291,13297,13309,13313,13327,13331,13337,
+ 13339,13367,13381,13397,13399,13411,13417,13421,
+ 13441,13451,13457,13463,13469,13477,13487,13499,
+ 13513,13523,13537,13553,13567,13577,13591,13597,
+ 13613,13619,13627,13633,13649,13669,13679,13681,
+ 13687,13691,13693,13697,13709,13711,13721,13723,
+ 13729,13751,13757,13759,13763,13781,13789,13799,
+ 13807,13829,13831,13841,13859,13873,13877,13879,
+ 13883,13901,13903,13907,13913,13921,13931,13933,
+ 13963,13967,13997,13999,14009,14011,14029,14033,
+ 14051,14057,14071,14081,14083,14087,14107,14143,
+ 14149,14153,14159,14173,14177,14197,14207,14221,
+ 14243,14249,14251,14281,14293,14303,14321,14323,
+ 14327,14341,14347,14369,14387,14389,14401,14407,
+ 14411,14419,14423,14431,14437,14447,14449,14461,
+ 14479,14489,14503,14519,14533,14537,14543,14549,
+ 14551,14557,14561,14563,14591,14593,14621,14627,
+ 14629,14633,14639,14653,14657,14669,14683,14699,
+ 14713,14717,14723,14731,14737,14741,14747,14753,
+ 14759,14767,14771,14779,14783,14797,14813,14821,
+ 14827,14831,14843,14851,14867,14869,14879,14887,
+ 14891,14897,14923,14929,14939,14947,14951,14957,
+ 14969,14983,15013,15017,15031,15053,15061,15073,
+ 15077,15083,15091,15101,15107,15121,15131,15137,
+ 15139,15149,15161,15173,15187,15193,15199,15217,
+ 15227,15233,15241,15259,15263,15269,15271,15277,
+ 15287,15289,15299,15307,15313,15319,15329,15331,
+ 15349,15359,15361,15373,15377,15383,15391,15401,
+ 15413,15427,15439,15443,15451,15461,15467,15473,
+ 15493,15497,15511,15527,15541,15551,15559,15569,
+ 15581,15583,15601,15607,15619,15629,15641,15643,
+ 15647,15649,15661,15667,15671,15679,15683,15727,
+ 15731,15733,15737,15739,15749,15761,15767,15773,
+ 15787,15791,15797,15803,15809,15817,15823,15859,
+ 15877,15881,15887,15889,15901,15907,15913,15919,
+ 15923,15937,15959,15971,15973,15991,16001,16007,
+ 16033,16057,16061,16063,16067,16069,16073,16087,
+ 16091,16097,16103,16111,16127,16139,16141,16183,
+ 16187,16189,16193,16217,16223,16229,16231,16249,
+ 16253,16267,16273,16301,16319,16333,16339,16349,
+ 16361,16363,16369,16381,16411,16417,16421,16427,
+ 16433,16447,16451,16453,16477,16481,16487,16493,
+ 16519,16529,16547,16553,16561,16567,16573,16603,
+ 16607,16619,16631,16633,16649,16651,16657,16661,
+ 16673,16691,16693,16699,16703,16729,16741,16747,
+ 16759,16763,16787,16811,16823,16829,16831,16843,
+ 16871,16879,16883,16889,16901,16903,16921,16927,
+ 16931,16937,16943,16963,16979,16981,16987,16993,
+ 17011,17021,17027,17029,17033,17041,17047,17053,
+ 17077,17093,17099,17107,17117,17123,17137,17159,
+ 17167,17183,17189,17191,17203,17207,17209,17231,
+ 17239,17257,17291,17293,17299,17317,17321,17327,
+ 17333,17341,17351,17359,17377,17383,17387,17389,
+ 17393,17401,17417,17419,17431,17443,17449,17467,
+ 17471,17477,17483,17489,17491,17497,17509,17519,
+ 17539,17551,17569,17573,17579,17581,17597,17599,
+ 17609,17623,17627,17657,17659,17669,17681,17683,
+ 17707,17713,17729,17737,17747,17749,17761,17783,
+ 17789,17791,17807,17827,17837,17839,17851,17863,
+#endif
+ };
diff --git a/openssl/crypto/bn/bn_prime.pl b/openssl/crypto/bn/bn_prime.pl
new file mode 100644
index 00000000..3fafb6f3
--- /dev/null
+++ b/openssl/crypto/bn/bn_prime.pl
@@ -0,0 +1,119 @@
+#!/usr/local/bin/perl
+# bn_prime.pl
+
+$num=2048;
+$num=$ARGV[0] if ($#ARGV >= 0);
+
+push(@primes,2);
+$p=1;
+loop: while ($#primes < $num-1)
+ {
+ $p+=2;
+ $s=int(sqrt($p));
+
+ for ($i=0; defined($primes[$i]) && $primes[$i]<=$s; $i++)
+ {
+ next loop if (($p%$primes[$i]) == 0);
+ }
+ push(@primes,$p);
+ }
+
+# print <<"EOF";
+# /* Auto generated by bn_prime.pl */
+# /* Copyright (C) 1995-1997 Eric Young (eay\@mincom.oz.au).
+# * All rights reserved.
+# * Copyright remains Eric Young's, and as such any Copyright notices in
+# * the code are not to be removed.
+# * See the COPYRIGHT file in the SSLeay distribution for more details.
+# */
+#
+# EOF
+
+print <<\EOF;
+/* Auto generated by bn_prime.pl */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+EOF
+
+for ($i=0; $i <= $#primes; $i++)
+ {
+ if ($primes[$i] > 256)
+ {
+ $eight=$i;
+ last;
+ }
+ }
+
+printf "#ifndef EIGHT_BIT\n";
+printf "#define NUMPRIMES %d\n",$num;
+printf "typedef unsigned short prime_t;\n";
+printf "#else\n";
+printf "#define NUMPRIMES %d\n",$eight;
+printf "typedef unsigned char prime_t;\n";
+printf "#endif\n";
+print "static const prime_t primes[NUMPRIMES]=\n\t{\n\t";
+$init=0;
+for ($i=0; $i <= $#primes; $i++)
+ {
+ printf "\n#ifndef EIGHT_BIT\n\t" if ($primes[$i] > 256) && !($init++);
+ printf("\n\t") if (($i%8) == 0) && ($i != 0);
+ printf("%4d,",$primes[$i]);
+ }
+print "\n#endif\n\t};\n";
+
+
diff --git a/openssl/crypto/bn/bn_print.c b/openssl/crypto/bn/bn_print.c
new file mode 100644
index 00000000..bebb466d
--- /dev/null
+++ b/openssl/crypto/bn/bn_print.c
@@ -0,0 +1,359 @@
+/* crypto/bn/bn_print.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include <ctype.h>
+#include "cryptlib.h"
+#include <openssl/buffer.h>
+#include "bn_lcl.h"
+
+static const char Hex[]="0123456789ABCDEF";
+
+/* Must 'OPENSSL_free' the returned data */
+char *BN_bn2hex(const BIGNUM *a)
+ {
+ int i,j,v,z=0;
+ char *buf;
+ char *p;
+
+ buf=(char *)OPENSSL_malloc(a->top*BN_BYTES*2+2);
+ if (buf == NULL)
+ {
+ BNerr(BN_F_BN_BN2HEX,ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ p=buf;
+ if (a->neg) *(p++)='-';
+ if (BN_is_zero(a)) *(p++)='0';
+ for (i=a->top-1; i >=0; i--)
+ {
+ for (j=BN_BITS2-8; j >= 0; j-=8)
+ {
+ /* strip leading zeros */
+ v=((int)(a->d[i]>>(long)j))&0xff;
+ if (z || (v != 0))
+ {
+ *(p++)=Hex[v>>4];
+ *(p++)=Hex[v&0x0f];
+ z=1;
+ }
+ }
+ }
+ *p='\0';
+err:
+ return(buf);
+ }
+
+/* Must 'OPENSSL_free' the returned data */
+char *BN_bn2dec(const BIGNUM *a)
+ {
+ int i=0,num, ok = 0;
+ char *buf=NULL;
+ char *p;
+ BIGNUM *t=NULL;
+ BN_ULONG *bn_data=NULL,*lp;
+
+ /* get an upper bound for the length of the decimal integer
+ * num <= (BN_num_bits(a) + 1) * log(2)
+ * <= 3 * BN_num_bits(a) * 0.1001 + log(2) + 1 (rounding error)
+ * <= BN_num_bits(a)/10 + BN_num_bits/1000 + 1 + 1
+ */
+ i=BN_num_bits(a)*3;
+ num=(i/10+i/1000+1)+1;
+ bn_data=(BN_ULONG *)OPENSSL_malloc((num/BN_DEC_NUM+1)*sizeof(BN_ULONG));
+ buf=(char *)OPENSSL_malloc(num+3);
+ if ((buf == NULL) || (bn_data == NULL))
+ {
+ BNerr(BN_F_BN_BN2DEC,ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if ((t=BN_dup(a)) == NULL) goto err;
+
+#define BUF_REMAIN (num+3 - (size_t)(p - buf))
+ p=buf;
+ lp=bn_data;
+ if (BN_is_zero(t))
+ {
+ *(p++)='0';
+ *(p++)='\0';
+ }
+ else
+ {
+ if (BN_is_negative(t))
+ *p++ = '-';
+
+ i=0;
+ while (!BN_is_zero(t))
+ {
+ *lp=BN_div_word(t,BN_DEC_CONV);
+ lp++;
+ }
+ lp--;
+ /* We now have a series of blocks, BN_DEC_NUM chars
+ * in length, where the last one needs truncation.
+ * The blocks need to be reversed in order. */
+ BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT1,*lp);
+ while (*p) p++;
+ while (lp != bn_data)
+ {
+ lp--;
+ BIO_snprintf(p,BUF_REMAIN,BN_DEC_FMT2,*lp);
+ while (*p) p++;
+ }
+ }
+ ok = 1;
+err:
+ if (bn_data != NULL) OPENSSL_free(bn_data);
+ if (t != NULL) BN_free(t);
+ if (!ok && buf)
+ {
+ OPENSSL_free(buf);
+ buf = NULL;
+ }
+
+ return(buf);
+ }
+
+int BN_hex2bn(BIGNUM **bn, const char *a)
+ {
+ BIGNUM *ret=NULL;
+ BN_ULONG l=0;
+ int neg=0,h,m,i,j,k,c;
+ int num;
+
+ if ((a == NULL) || (*a == '\0')) return(0);
+
+ if (*a == '-') { neg=1; a++; }
+
+ for (i=0; isxdigit((unsigned char) a[i]); i++)
+ ;
+
+ num=i+neg;
+ if (bn == NULL) return(num);
+
+ /* a is the start of the hex digits, and it is 'i' long */
+ if (*bn == NULL)
+ {
+ if ((ret=BN_new()) == NULL) return(0);
+ }
+ else
+ {
+ ret= *bn;
+ BN_zero(ret);
+ }
+
+ /* i is the number of hex digests; */
+ if (bn_expand(ret,i*4) == NULL) goto err;
+
+ j=i; /* least significant 'hex' */
+ m=0;
+ h=0;
+ while (j > 0)
+ {
+ m=((BN_BYTES*2) <= j)?(BN_BYTES*2):j;
+ l=0;
+ for (;;)
+ {
+ c=a[j-m];
+ if ((c >= '0') && (c <= '9')) k=c-'0';
+ else if ((c >= 'a') && (c <= 'f')) k=c-'a'+10;
+ else if ((c >= 'A') && (c <= 'F')) k=c-'A'+10;
+ else k=0; /* paranoia */
+ l=(l<<4)|k;
+
+ if (--m <= 0)
+ {
+ ret->d[h++]=l;
+ break;
+ }
+ }
+ j-=(BN_BYTES*2);
+ }
+ ret->top=h;
+ bn_correct_top(ret);
+ ret->neg=neg;
+
+ *bn=ret;
+ bn_check_top(ret);
+ return(num);
+err:
+ if (*bn == NULL) BN_free(ret);
+ return(0);
+ }
+
+int BN_dec2bn(BIGNUM **bn, const char *a)
+ {
+ BIGNUM *ret=NULL;
+ BN_ULONG l=0;
+ int neg=0,i,j;
+ int num;
+
+ if ((a == NULL) || (*a == '\0')) return(0);
+ if (*a == '-') { neg=1; a++; }
+
+ for (i=0; isdigit((unsigned char) a[i]); i++)
+ ;
+
+ num=i+neg;
+ if (bn == NULL) return(num);
+
+ /* a is the start of the digits, and it is 'i' long.
+ * We chop it into BN_DEC_NUM digits at a time */
+ if (*bn == NULL)
+ {
+ if ((ret=BN_new()) == NULL) return(0);
+ }
+ else
+ {
+ ret= *bn;
+ BN_zero(ret);
+ }
+
+ /* i is the number of digests, a bit of an over expand; */
+ if (bn_expand(ret,i*4) == NULL) goto err;
+
+ j=BN_DEC_NUM-(i%BN_DEC_NUM);
+ if (j == BN_DEC_NUM) j=0;
+ l=0;
+ while (*a)
+ {
+ l*=10;
+ l+= *a-'0';
+ a++;
+ if (++j == BN_DEC_NUM)
+ {
+ BN_mul_word(ret,BN_DEC_CONV);
+ BN_add_word(ret,l);
+ l=0;
+ j=0;
+ }
+ }
+ ret->neg=neg;
+
+ bn_correct_top(ret);
+ *bn=ret;
+ bn_check_top(ret);
+ return(num);
+err:
+ if (*bn == NULL) BN_free(ret);
+ return(0);
+ }
+
+int BN_asc2bn(BIGNUM **bn, const char *a)
+ {
+ const char *p = a;
+ if (*p == '-')
+ p++;
+
+ if (p[0] == '0' && (p[1] == 'X' || p[1] == 'x'))
+ {
+ if (!BN_hex2bn(bn, p + 2))
+ return 0;
+ }
+ else
+ {
+ if (!BN_dec2bn(bn, p))
+ return 0;
+ }
+ if (*a == '-')
+ (*bn)->neg = 1;
+ return 1;
+ }
+
+#ifndef OPENSSL_NO_BIO
+#ifndef OPENSSL_NO_FP_API
+int BN_print_fp(FILE *fp, const BIGNUM *a)
+ {
+ BIO *b;
+ int ret;
+
+ if ((b=BIO_new(BIO_s_file())) == NULL)
+ return(0);
+ BIO_set_fp(b,fp,BIO_NOCLOSE);
+ ret=BN_print(b,a);
+ BIO_free(b);
+ return(ret);
+ }
+#endif
+
+int BN_print(BIO *bp, const BIGNUM *a)
+ {
+ int i,j,v,z=0;
+ int ret=0;
+
+ if ((a->neg) && (BIO_write(bp,"-",1) != 1)) goto end;
+ if (BN_is_zero(a) && (BIO_write(bp,"0",1) != 1)) goto end;
+ for (i=a->top-1; i >=0; i--)
+ {
+ for (j=BN_BITS2-4; j >= 0; j-=4)
+ {
+ /* strip leading zeros */
+ v=((int)(a->d[i]>>(long)j))&0x0f;
+ if (z || (v != 0))
+ {
+ if (BIO_write(bp,&(Hex[v]),1) != 1)
+ goto end;
+ z=1;
+ }
+ }
+ }
+ ret=1;
+end:
+ return(ret);
+ }
+#endif
diff --git a/openssl/crypto/bn/bn_rand.c b/openssl/crypto/bn/bn_rand.c
new file mode 100644
index 00000000..b376c28f
--- /dev/null
+++ b/openssl/crypto/bn/bn_rand.c
@@ -0,0 +1,305 @@
+/* crypto/bn/bn_rand.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include <stdio.h>
+#include <time.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+#include <openssl/rand.h>
+
+static int bnrand(int pseudorand, BIGNUM *rnd, int bits, int top, int bottom)
+ {
+ unsigned char *buf=NULL;
+ int ret=0,bit,bytes,mask;
+ time_t tim;
+
+ if (bits == 0)
+ {
+ BN_zero(rnd);
+ return 1;
+ }
+
+ bytes=(bits+7)/8;
+ bit=(bits-1)%8;
+ mask=0xff<<(bit+1);
+
+ buf=(unsigned char *)OPENSSL_malloc(bytes);
+ if (buf == NULL)
+ {
+ BNerr(BN_F_BNRAND,ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ /* make a random number and set the top and bottom bits */
+ time(&tim);
+ RAND_add(&tim,sizeof(tim),0.0);
+
+ if (pseudorand)
+ {
+ if (RAND_pseudo_bytes(buf, bytes) == -1)
+ goto err;
+ }
+ else
+ {
+ if (RAND_bytes(buf, bytes) <= 0)
+ goto err;
+ }
+
+#if 1
+ if (pseudorand == 2)
+ {
+ /* generate patterns that are more likely to trigger BN
+ library bugs */
+ int i;
+ unsigned char c;
+
+ for (i = 0; i < bytes; i++)
+ {
+ RAND_pseudo_bytes(&c, 1);
+ if (c >= 128 && i > 0)
+ buf[i] = buf[i-1];
+ else if (c < 42)
+ buf[i] = 0;
+ else if (c < 84)
+ buf[i] = 255;
+ }
+ }
+#endif
+
+ if (top != -1)
+ {
+ if (top)
+ {
+ if (bit == 0)
+ {
+ buf[0]=1;
+ buf[1]|=0x80;
+ }
+ else
+ {
+ buf[0]|=(3<<(bit-1));
+ }
+ }
+ else
+ {
+ buf[0]|=(1<<bit);
+ }
+ }
+ buf[0] &= ~mask;
+ if (bottom) /* set bottom bit if requested */
+ buf[bytes-1]|=1;
+ if (!BN_bin2bn(buf,bytes,rnd)) goto err;
+ ret=1;
+err:
+ if (buf != NULL)
+ {
+ OPENSSL_cleanse(buf,bytes);
+ OPENSSL_free(buf);
+ }
+ bn_check_top(rnd);
+ return(ret);
+ }
+
+int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
+ {
+ return bnrand(0, rnd, bits, top, bottom);
+ }
+
+int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
+ {
+ return bnrand(1, rnd, bits, top, bottom);
+ }
+
+#if 1
+int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
+ {
+ return bnrand(2, rnd, bits, top, bottom);
+ }
+#endif
+
+
+/* random number r: 0 <= r < range */
+static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
+ {
+ int (*bn_rand)(BIGNUM *, int, int, int) = pseudo ? BN_pseudo_rand : BN_rand;
+ int n;
+ int count = 100;
+
+ if (range->neg || BN_is_zero(range))
+ {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
+ return 0;
+ }
+
+ n = BN_num_bits(range); /* n > 0 */
+
+ /* BN_is_bit_set(range, n - 1) always holds */
+
+ if (n == 1)
+ BN_zero(r);
+ else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
+ {
+ /* range = 100..._2,
+ * so 3*range (= 11..._2) is exactly one bit longer than range */
+ do
+ {
+ if (!bn_rand(r, n + 1, -1, 0)) return 0;
+ /* If r < 3*range, use r := r MOD range
+ * (which is either r, r - range, or r - 2*range).
+ * Otherwise, iterate once more.
+ * Since 3*range = 11..._2, each iteration succeeds with
+ * probability >= .75. */
+ if (BN_cmp(r ,range) >= 0)
+ {
+ if (!BN_sub(r, r, range)) return 0;
+ if (BN_cmp(r, range) >= 0)
+ if (!BN_sub(r, r, range)) return 0;
+ }
+
+ if (!--count)
+ {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
+ return 0;
+ }
+
+ }
+ while (BN_cmp(r, range) >= 0);
+ }
+ else
+ {
+ do
+ {
+ /* range = 11..._2 or range = 101..._2 */
+ if (!bn_rand(r, n, -1, 0)) return 0;
+
+ if (!--count)
+ {
+ BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
+ return 0;
+ }
+ }
+ while (BN_cmp(r, range) >= 0);
+ }
+
+ bn_check_top(r);
+ return 1;
+ }
+
+
+int BN_rand_range(BIGNUM *r, const BIGNUM *range)
+ {
+ return bn_rand_range(0, r, range);
+ }
+
+int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
+ {
+ return bn_rand_range(1, r, range);
+ }
diff --git a/openssl/crypto/bn/bn_recp.c b/openssl/crypto/bn/bn_recp.c
new file mode 100644
index 00000000..2e8efb8d
--- /dev/null
+++ b/openssl/crypto/bn/bn_recp.c
@@ -0,0 +1,234 @@
+/* crypto/bn/bn_recp.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+void BN_RECP_CTX_init(BN_RECP_CTX *recp)
+ {
+ BN_init(&(recp->N));
+ BN_init(&(recp->Nr));
+ recp->num_bits=0;
+ recp->flags=0;
+ }
+
+BN_RECP_CTX *BN_RECP_CTX_new(void)
+ {
+ BN_RECP_CTX *ret;
+
+ if ((ret=(BN_RECP_CTX *)OPENSSL_malloc(sizeof(BN_RECP_CTX))) == NULL)
+ return(NULL);
+
+ BN_RECP_CTX_init(ret);
+ ret->flags=BN_FLG_MALLOCED;
+ return(ret);
+ }
+
+void BN_RECP_CTX_free(BN_RECP_CTX *recp)
+ {
+ if(recp == NULL)
+ return;
+
+ BN_free(&(recp->N));
+ BN_free(&(recp->Nr));
+ if (recp->flags & BN_FLG_MALLOCED)
+ OPENSSL_free(recp);
+ }
+
+int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *d, BN_CTX *ctx)
+ {
+ if (!BN_copy(&(recp->N),d)) return 0;
+ BN_zero(&(recp->Nr));
+ recp->num_bits=BN_num_bits(d);
+ recp->shift=0;
+ return(1);
+ }
+
+int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
+ BN_RECP_CTX *recp, BN_CTX *ctx)
+ {
+ int ret=0;
+ BIGNUM *a;
+ const BIGNUM *ca;
+
+ BN_CTX_start(ctx);
+ if ((a = BN_CTX_get(ctx)) == NULL) goto err;
+ if (y != NULL)
+ {
+ if (x == y)
+ { if (!BN_sqr(a,x,ctx)) goto err; }
+ else
+ { if (!BN_mul(a,x,y,ctx)) goto err; }
+ ca = a;
+ }
+ else
+ ca=x; /* Just do the mod */
+
+ ret = BN_div_recp(NULL,r,ca,recp,ctx);
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return(ret);
+ }
+
+int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
+ BN_RECP_CTX *recp, BN_CTX *ctx)
+ {
+ int i,j,ret=0;
+ BIGNUM *a,*b,*d,*r;
+
+ BN_CTX_start(ctx);
+ a=BN_CTX_get(ctx);
+ b=BN_CTX_get(ctx);
+ if (dv != NULL)
+ d=dv;
+ else
+ d=BN_CTX_get(ctx);
+ if (rem != NULL)
+ r=rem;
+ else
+ r=BN_CTX_get(ctx);
+ if (a == NULL || b == NULL || d == NULL || r == NULL) goto err;
+
+ if (BN_ucmp(m,&(recp->N)) < 0)
+ {
+ BN_zero(d);
+ if (!BN_copy(r,m)) return 0;
+ BN_CTX_end(ctx);
+ return(1);
+ }
+
+ /* We want the remainder
+ * Given input of ABCDEF / ab
+ * we need multiply ABCDEF by 3 digests of the reciprocal of ab
+ *
+ */
+
+ /* i := max(BN_num_bits(m), 2*BN_num_bits(N)) */
+ i=BN_num_bits(m);
+ j=recp->num_bits<<1;
+ if (j>i) i=j;
+
+ /* Nr := round(2^i / N) */
+ if (i != recp->shift)
+ recp->shift=BN_reciprocal(&(recp->Nr),&(recp->N),
+ i,ctx); /* BN_reciprocal returns i, or -1 for an error */
+ if (recp->shift == -1) goto err;
+
+ /* d := |round(round(m / 2^BN_num_bits(N)) * recp->Nr / 2^(i - BN_num_bits(N)))|
+ * = |round(round(m / 2^BN_num_bits(N)) * round(2^i / N) / 2^(i - BN_num_bits(N)))|
+ * <= |(m / 2^BN_num_bits(N)) * (2^i / N) * (2^BN_num_bits(N) / 2^i)|
+ * = |m/N|
+ */
+ if (!BN_rshift(a,m,recp->num_bits)) goto err;
+ if (!BN_mul(b,a,&(recp->Nr),ctx)) goto err;
+ if (!BN_rshift(d,b,i-recp->num_bits)) goto err;
+ d->neg=0;
+
+ if (!BN_mul(b,&(recp->N),d,ctx)) goto err;
+ if (!BN_usub(r,m,b)) goto err;
+ r->neg=0;
+
+#if 1
+ j=0;
+ while (BN_ucmp(r,&(recp->N)) >= 0)
+ {
+ if (j++ > 2)
+ {
+ BNerr(BN_F_BN_DIV_RECP,BN_R_BAD_RECIPROCAL);
+ goto err;
+ }
+ if (!BN_usub(r,r,&(recp->N))) goto err;
+ if (!BN_add_word(d,1)) goto err;
+ }
+#endif
+
+ r->neg=BN_is_zero(r)?0:m->neg;
+ d->neg=m->neg^recp->N.neg;
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(dv);
+ bn_check_top(rem);
+ return(ret);
+ }
+
+/* len is the expected size of the result
+ * We actually calculate with an extra word of precision, so
+ * we can do faster division if the remainder is not required.
+ */
+/* r := 2^len / m */
+int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx)
+ {
+ int ret= -1;
+ BIGNUM *t;
+
+ BN_CTX_start(ctx);
+ if((t = BN_CTX_get(ctx)) == NULL) goto err;
+
+ if (!BN_set_bit(t,len)) goto err;
+
+ if (!BN_div(r,NULL,t,m,ctx)) goto err;
+
+ ret=len;
+err:
+ bn_check_top(r);
+ BN_CTX_end(ctx);
+ return(ret);
+ }
diff --git a/openssl/crypto/bn/bn_shift.c b/openssl/crypto/bn/bn_shift.c
new file mode 100644
index 00000000..c4d301af
--- /dev/null
+++ b/openssl/crypto/bn/bn_shift.c
@@ -0,0 +1,220 @@
+/* crypto/bn/bn_shift.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+int BN_lshift1(BIGNUM *r, const BIGNUM *a)
+ {
+ register BN_ULONG *ap,*rp,t,c;
+ int i;
+
+ bn_check_top(r);
+ bn_check_top(a);
+
+ if (r != a)
+ {
+ r->neg=a->neg;
+ if (bn_wexpand(r,a->top+1) == NULL) return(0);
+ r->top=a->top;
+ }
+ else
+ {
+ if (bn_wexpand(r,a->top+1) == NULL) return(0);
+ }
+ ap=a->d;
+ rp=r->d;
+ c=0;
+ for (i=0; i<a->top; i++)
+ {
+ t= *(ap++);
+ *(rp++)=((t<<1)|c)&BN_MASK2;
+ c=(t & BN_TBIT)?1:0;
+ }
+ if (c)
+ {
+ *rp=1;
+ r->top++;
+ }
+ bn_check_top(r);
+ return(1);
+ }
+
+int BN_rshift1(BIGNUM *r, const BIGNUM *a)
+ {
+ BN_ULONG *ap,*rp,t,c;
+ int i;
+
+ bn_check_top(r);
+ bn_check_top(a);
+
+ if (BN_is_zero(a))
+ {
+ BN_zero(r);
+ return(1);
+ }
+ if (a != r)
+ {
+ if (bn_wexpand(r,a->top) == NULL) return(0);
+ r->top=a->top;
+ r->neg=a->neg;
+ }
+ ap=a->d;
+ rp=r->d;
+ c=0;
+ for (i=a->top-1; i>=0; i--)
+ {
+ t=ap[i];
+ rp[i]=((t>>1)&BN_MASK2)|c;
+ c=(t&1)?BN_TBIT:0;
+ }
+ bn_correct_top(r);
+ bn_check_top(r);
+ return(1);
+ }
+
+int BN_lshift(BIGNUM *r, const BIGNUM *a, int n)
+ {
+ int i,nw,lb,rb;
+ BN_ULONG *t,*f;
+ BN_ULONG l;
+
+ bn_check_top(r);
+ bn_check_top(a);
+
+ r->neg=a->neg;
+ nw=n/BN_BITS2;
+ if (bn_wexpand(r,a->top+nw+1) == NULL) return(0);
+ lb=n%BN_BITS2;
+ rb=BN_BITS2-lb;
+ f=a->d;
+ t=r->d;
+ t[a->top+nw]=0;
+ if (lb == 0)
+ for (i=a->top-1; i>=0; i--)
+ t[nw+i]=f[i];
+ else
+ for (i=a->top-1; i>=0; i--)
+ {
+ l=f[i];
+ t[nw+i+1]|=(l>>rb)&BN_MASK2;
+ t[nw+i]=(l<<lb)&BN_MASK2;
+ }
+ memset(t,0,nw*sizeof(t[0]));
+/* for (i=0; i<nw; i++)
+ t[i]=0;*/
+ r->top=a->top+nw+1;
+ bn_correct_top(r);
+ bn_check_top(r);
+ return(1);
+ }
+
+int BN_rshift(BIGNUM *r, const BIGNUM *a, int n)
+ {
+ int i,j,nw,lb,rb;
+ BN_ULONG *t,*f;
+ BN_ULONG l,tmp;
+
+ bn_check_top(r);
+ bn_check_top(a);
+
+ nw=n/BN_BITS2;
+ rb=n%BN_BITS2;
+ lb=BN_BITS2-rb;
+ if (nw >= a->top || a->top == 0)
+ {
+ BN_zero(r);
+ return(1);
+ }
+ if (r != a)
+ {
+ r->neg=a->neg;
+ if (bn_wexpand(r,a->top-nw+1) == NULL) return(0);
+ }
+ else
+ {
+ if (n == 0)
+ return 1; /* or the copying loop will go berserk */
+ }
+
+ f= &(a->d[nw]);
+ t=r->d;
+ j=a->top-nw;
+ r->top=j;
+
+ if (rb == 0)
+ {
+ for (i=j; i != 0; i--)
+ *(t++)= *(f++);
+ }
+ else
+ {
+ l= *(f++);
+ for (i=j-1; i != 0; i--)
+ {
+ tmp =(l>>rb)&BN_MASK2;
+ l= *(f++);
+ *(t++) =(tmp|(l<<lb))&BN_MASK2;
+ }
+ *(t++) =(l>>rb)&BN_MASK2;
+ }
+ bn_correct_top(r);
+ bn_check_top(r);
+ return(1);
+ }
diff --git a/openssl/crypto/bn/bn_sqr.c b/openssl/crypto/bn/bn_sqr.c
new file mode 100644
index 00000000..270d0cd3
--- /dev/null
+++ b/openssl/crypto/bn/bn_sqr.c
@@ -0,0 +1,294 @@
+/* crypto/bn/bn_sqr.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+/* r must not be a */
+/* I've just gone over this and it is now %20 faster on x86 - eay - 27 Jun 96 */
+int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ int max,al;
+ int ret = 0;
+ BIGNUM *tmp,*rr;
+
+#ifdef BN_COUNT
+ fprintf(stderr,"BN_sqr %d * %d\n",a->top,a->top);
+#endif
+ bn_check_top(a);
+
+ al=a->top;
+ if (al <= 0)
+ {
+ r->top=0;
+ return 1;
+ }
+
+ BN_CTX_start(ctx);
+ rr=(a != r) ? r : BN_CTX_get(ctx);
+ tmp=BN_CTX_get(ctx);
+ if (!rr || !tmp) goto err;
+
+ max = 2 * al; /* Non-zero (from above) */
+ if (bn_wexpand(rr,max) == NULL) goto err;
+
+ if (al == 4)
+ {
+#ifndef BN_SQR_COMBA
+ BN_ULONG t[8];
+ bn_sqr_normal(rr->d,a->d,4,t);
+#else
+ bn_sqr_comba4(rr->d,a->d);
+#endif
+ }
+ else if (al == 8)
+ {
+#ifndef BN_SQR_COMBA
+ BN_ULONG t[16];
+ bn_sqr_normal(rr->d,a->d,8,t);
+#else
+ bn_sqr_comba8(rr->d,a->d);
+#endif
+ }
+ else
+ {
+#if defined(BN_RECURSION)
+ if (al < BN_SQR_RECURSIVE_SIZE_NORMAL)
+ {
+ BN_ULONG t[BN_SQR_RECURSIVE_SIZE_NORMAL*2];
+ bn_sqr_normal(rr->d,a->d,al,t);
+ }
+ else
+ {
+ int j,k;
+
+ j=BN_num_bits_word((BN_ULONG)al);
+ j=1<<(j-1);
+ k=j+j;
+ if (al == j)
+ {
+ if (bn_wexpand(tmp,k*2) == NULL) goto err;
+ bn_sqr_recursive(rr->d,a->d,al,tmp->d);
+ }
+ else
+ {
+ if (bn_wexpand(tmp,max) == NULL) goto err;
+ bn_sqr_normal(rr->d,a->d,al,tmp->d);
+ }
+ }
+#else
+ if (bn_wexpand(tmp,max) == NULL) goto err;
+ bn_sqr_normal(rr->d,a->d,al,tmp->d);
+#endif
+ }
+
+ rr->neg=0;
+ /* If the most-significant half of the top word of 'a' is zero, then
+ * the square of 'a' will max-1 words. */
+ if(a->d[al - 1] == (a->d[al - 1] & BN_MASK2l))
+ rr->top = max - 1;
+ else
+ rr->top = max;
+ if (rr != r) BN_copy(r,rr);
+ ret = 1;
+ err:
+ bn_check_top(rr);
+ bn_check_top(tmp);
+ BN_CTX_end(ctx);
+ return(ret);
+ }
+
+/* tmp must have 2*n words */
+void bn_sqr_normal(BN_ULONG *r, const BN_ULONG *a, int n, BN_ULONG *tmp)
+ {
+ int i,j,max;
+ const BN_ULONG *ap;
+ BN_ULONG *rp;
+
+ max=n*2;
+ ap=a;
+ rp=r;
+ rp[0]=rp[max-1]=0;
+ rp++;
+ j=n;
+
+ if (--j > 0)
+ {
+ ap++;
+ rp[j]=bn_mul_words(rp,ap,j,ap[-1]);
+ rp+=2;
+ }
+
+ for (i=n-2; i>0; i--)
+ {
+ j--;
+ ap++;
+ rp[j]=bn_mul_add_words(rp,ap,j,ap[-1]);
+ rp+=2;
+ }
+
+ bn_add_words(r,r,r,max);
+
+ /* There will not be a carry */
+
+ bn_sqr_words(tmp,a,n);
+
+ bn_add_words(r,r,tmp,max);
+ }
+
+#ifdef BN_RECURSION
+/* r is 2*n words in size,
+ * a and b are both n words in size. (There's not actually a 'b' here ...)
+ * n must be a power of 2.
+ * We multiply and return the result.
+ * t must be 2*n words in size
+ * We calculate
+ * a[0]*b[0]
+ * a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
+ * a[1]*b[1]
+ */
+void bn_sqr_recursive(BN_ULONG *r, const BN_ULONG *a, int n2, BN_ULONG *t)
+ {
+ int n=n2/2;
+ int zero,c1;
+ BN_ULONG ln,lo,*p;
+
+#ifdef BN_COUNT
+ fprintf(stderr," bn_sqr_recursive %d * %d\n",n2,n2);
+#endif
+ if (n2 == 4)
+ {
+#ifndef BN_SQR_COMBA
+ bn_sqr_normal(r,a,4,t);
+#else
+ bn_sqr_comba4(r,a);
+#endif
+ return;
+ }
+ else if (n2 == 8)
+ {
+#ifndef BN_SQR_COMBA
+ bn_sqr_normal(r,a,8,t);
+#else
+ bn_sqr_comba8(r,a);
+#endif
+ return;
+ }
+ if (n2 < BN_SQR_RECURSIVE_SIZE_NORMAL)
+ {
+ bn_sqr_normal(r,a,n2,t);
+ return;
+ }
+ /* r=(a[0]-a[1])*(a[1]-a[0]) */
+ c1=bn_cmp_words(a,&(a[n]),n);
+ zero=0;
+ if (c1 > 0)
+ bn_sub_words(t,a,&(a[n]),n);
+ else if (c1 < 0)
+ bn_sub_words(t,&(a[n]),a,n);
+ else
+ zero=1;
+
+ /* The result will always be negative unless it is zero */
+ p= &(t[n2*2]);
+
+ if (!zero)
+ bn_sqr_recursive(&(t[n2]),t,n,p);
+ else
+ memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
+ bn_sqr_recursive(r,a,n,p);
+ bn_sqr_recursive(&(r[n2]),&(a[n]),n,p);
+
+ /* t[32] holds (a[0]-a[1])*(a[1]-a[0]), it is negative or zero
+ * r[10] holds (a[0]*b[0])
+ * r[32] holds (b[1]*b[1])
+ */
+
+ c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
+
+ /* t[32] is negative */
+ c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+
+ /* t[32] holds (a[0]-a[1])*(a[1]-a[0])+(a[0]*a[0])+(a[1]*a[1])
+ * r[10] holds (a[0]*a[0])
+ * r[32] holds (a[1]*a[1])
+ * c1 holds the carry bits
+ */
+ c1+=(int)(bn_add_words(&(r[n]),&(r[n]),&(t[n2]),n2));
+ if (c1)
+ {
+ p= &(r[n+n2]);
+ lo= *p;
+ ln=(lo+c1)&BN_MASK2;
+ *p=ln;
+
+ /* The overflow will stop before we over write
+ * words we should not overwrite */
+ if (ln < (BN_ULONG)c1)
+ {
+ do {
+ p++;
+ lo= *p;
+ ln=(lo+1)&BN_MASK2;
+ *p=ln;
+ } while (ln == 0);
+ }
+ }
+ }
+#endif
diff --git a/openssl/crypto/bn/bn_sqrt.c b/openssl/crypto/bn/bn_sqrt.c
new file mode 100644
index 00000000..6beaf9e5
--- /dev/null
+++ b/openssl/crypto/bn/bn_sqrt.c
@@ -0,0 +1,393 @@
+/* crypto/bn/bn_sqrt.c */
+/* Written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
+ * and Bodo Moeller for the OpenSSL project. */
+/* ====================================================================
+ * Copyright (c) 1998-2000 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+
+BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
+/* Returns 'ret' such that
+ * ret^2 == a (mod p),
+ * using the Tonelli/Shanks algorithm (cf. Henri Cohen, "A Course
+ * in Algebraic Computational Number Theory", algorithm 1.5.1).
+ * 'p' must be prime!
+ */
+ {
+ BIGNUM *ret = in;
+ int err = 1;
+ int r;
+ BIGNUM *A, *b, *q, *t, *x, *y;
+ int e, i, j;
+
+ if (!BN_is_odd(p) || BN_abs_is_word(p, 1))
+ {
+ if (BN_abs_is_word(p, 2))
+ {
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL)
+ goto end;
+ if (!BN_set_word(ret, BN_is_bit_set(a, 0)))
+ {
+ if (ret != in)
+ BN_free(ret);
+ return NULL;
+ }
+ bn_check_top(ret);
+ return ret;
+ }
+
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ return(NULL);
+ }
+
+ if (BN_is_zero(a) || BN_is_one(a))
+ {
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL)
+ goto end;
+ if (!BN_set_word(ret, BN_is_one(a)))
+ {
+ if (ret != in)
+ BN_free(ret);
+ return NULL;
+ }
+ bn_check_top(ret);
+ return ret;
+ }
+
+ BN_CTX_start(ctx);
+ A = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ q = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto end;
+
+ if (ret == NULL)
+ ret = BN_new();
+ if (ret == NULL) goto end;
+
+ /* A = a mod p */
+ if (!BN_nnmod(A, a, p, ctx)) goto end;
+
+ /* now write |p| - 1 as 2^e*q where q is odd */
+ e = 1;
+ while (!BN_is_bit_set(p, e))
+ e++;
+ /* we'll set q later (if needed) */
+
+ if (e == 1)
+ {
+ /* The easy case: (|p|-1)/2 is odd, so 2 has an inverse
+ * modulo (|p|-1)/2, and square roots can be computed
+ * directly by modular exponentiation.
+ * We have
+ * 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2),
+ * so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1.
+ */
+ if (!BN_rshift(q, p, 2)) goto end;
+ q->neg = 0;
+ if (!BN_add_word(q, 1)) goto end;
+ if (!BN_mod_exp(ret, A, q, p, ctx)) goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+ if (e == 2)
+ {
+ /* |p| == 5 (mod 8)
+ *
+ * In this case 2 is always a non-square since
+ * Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime.
+ * So if a really is a square, then 2*a is a non-square.
+ * Thus for
+ * b := (2*a)^((|p|-5)/8),
+ * i := (2*a)*b^2
+ * we have
+ * i^2 = (2*a)^((1 + (|p|-5)/4)*2)
+ * = (2*a)^((p-1)/2)
+ * = -1;
+ * so if we set
+ * x := a*b*(i-1),
+ * then
+ * x^2 = a^2 * b^2 * (i^2 - 2*i + 1)
+ * = a^2 * b^2 * (-2*i)
+ * = a*(-i)*(2*a*b^2)
+ * = a*(-i)*i
+ * = a.
+ *
+ * (This is due to A.O.L. Atkin,
+ * <URL: http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>,
+ * November 1992.)
+ */
+
+ /* t := 2*a */
+ if (!BN_mod_lshift1_quick(t, A, p)) goto end;
+
+ /* b := (2*a)^((|p|-5)/8) */
+ if (!BN_rshift(q, p, 3)) goto end;
+ q->neg = 0;
+ if (!BN_mod_exp(b, t, q, p, ctx)) goto end;
+
+ /* y := b^2 */
+ if (!BN_mod_sqr(y, b, p, ctx)) goto end;
+
+ /* t := (2*a)*b^2 - 1*/
+ if (!BN_mod_mul(t, t, y, p, ctx)) goto end;
+ if (!BN_sub_word(t, 1)) goto end;
+
+ /* x = a*b*t */
+ if (!BN_mod_mul(x, A, b, p, ctx)) goto end;
+ if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
+
+ if (!BN_copy(ret, x)) goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+ /* e > 2, so we really have to use the Tonelli/Shanks algorithm.
+ * First, find some y that is not a square. */
+ if (!BN_copy(q, p)) goto end; /* use 'q' as temp */
+ q->neg = 0;
+ i = 2;
+ do
+ {
+ /* For efficiency, try small numbers first;
+ * if this fails, try random numbers.
+ */
+ if (i < 22)
+ {
+ if (!BN_set_word(y, i)) goto end;
+ }
+ else
+ {
+ if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0)) goto end;
+ if (BN_ucmp(y, p) >= 0)
+ {
+ if (!(p->neg ? BN_add : BN_sub)(y, y, p)) goto end;
+ }
+ /* now 0 <= y < |p| */
+ if (BN_is_zero(y))
+ if (!BN_set_word(y, i)) goto end;
+ }
+
+ r = BN_kronecker(y, q, ctx); /* here 'q' is |p| */
+ if (r < -1) goto end;
+ if (r == 0)
+ {
+ /* m divides p */
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ goto end;
+ }
+ }
+ while (r == 1 && ++i < 82);
+
+ if (r != -1)
+ {
+ /* Many rounds and still no non-square -- this is more likely
+ * a bug than just bad luck.
+ * Even if p is not prime, we should have found some y
+ * such that r == -1.
+ */
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);
+ goto end;
+ }
+
+ /* Here's our actual 'q': */
+ if (!BN_rshift(q, q, e)) goto end;
+
+ /* Now that we have some non-square, we can find an element
+ * of order 2^e by computing its q'th power. */
+ if (!BN_mod_exp(y, y, q, p, ctx)) goto end;
+ if (BN_is_one(y))
+ {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
+ goto end;
+ }
+
+ /* Now we know that (if p is indeed prime) there is an integer
+ * k, 0 <= k < 2^e, such that
+ *
+ * a^q * y^k == 1 (mod p).
+ *
+ * As a^q is a square and y is not, k must be even.
+ * q+1 is even, too, so there is an element
+ *
+ * X := a^((q+1)/2) * y^(k/2),
+ *
+ * and it satisfies
+ *
+ * X^2 = a^q * a * y^k
+ * = a,
+ *
+ * so it is the square root that we are looking for.
+ */
+
+ /* t := (q-1)/2 (note that q is odd) */
+ if (!BN_rshift1(t, q)) goto end;
+
+ /* x := a^((q-1)/2) */
+ if (BN_is_zero(t)) /* special case: p = 2^e + 1 */
+ {
+ if (!BN_nnmod(t, A, p, ctx)) goto end;
+ if (BN_is_zero(t))
+ {
+ /* special case: a == 0 (mod p) */
+ BN_zero(ret);
+ err = 0;
+ goto end;
+ }
+ else
+ if (!BN_one(x)) goto end;
+ }
+ else
+ {
+ if (!BN_mod_exp(x, A, t, p, ctx)) goto end;
+ if (BN_is_zero(x))
+ {
+ /* special case: a == 0 (mod p) */
+ BN_zero(ret);
+ err = 0;
+ goto end;
+ }
+ }
+
+ /* b := a*x^2 (= a^q) */
+ if (!BN_mod_sqr(b, x, p, ctx)) goto end;
+ if (!BN_mod_mul(b, b, A, p, ctx)) goto end;
+
+ /* x := a*x (= a^((q+1)/2)) */
+ if (!BN_mod_mul(x, x, A, p, ctx)) goto end;
+
+ while (1)
+ {
+ /* Now b is a^q * y^k for some even k (0 <= k < 2^E
+ * where E refers to the original value of e, which we
+ * don't keep in a variable), and x is a^((q+1)/2) * y^(k/2).
+ *
+ * We have a*b = x^2,
+ * y^2^(e-1) = -1,
+ * b^2^(e-1) = 1.
+ */
+
+ if (BN_is_one(b))
+ {
+ if (!BN_copy(ret, x)) goto end;
+ err = 0;
+ goto vrfy;
+ }
+
+
+ /* find smallest i such that b^(2^i) = 1 */
+ i = 1;
+ if (!BN_mod_sqr(t, b, p, ctx)) goto end;
+ while (!BN_is_one(t))
+ {
+ i++;
+ if (i == e)
+ {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+ goto end;
+ }
+ if (!BN_mod_mul(t, t, t, p, ctx)) goto end;
+ }
+
+
+ /* t := y^2^(e - i - 1) */
+ if (!BN_copy(t, y)) goto end;
+ for (j = e - i - 1; j > 0; j--)
+ {
+ if (!BN_mod_sqr(t, t, p, ctx)) goto end;
+ }
+ if (!BN_mod_mul(y, t, t, p, ctx)) goto end;
+ if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
+ if (!BN_mod_mul(b, b, y, p, ctx)) goto end;
+ e = i;
+ }
+
+ vrfy:
+ if (!err)
+ {
+ /* verify the result -- the input might have been not a square
+ * (test added in 0.9.8) */
+
+ if (!BN_mod_sqr(x, ret, p, ctx))
+ err = 1;
+
+ if (!err && 0 != BN_cmp(x, A))
+ {
+ BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
+ err = 1;
+ }
+ }
+
+ end:
+ if (err)
+ {
+ if (ret != NULL && ret != in)
+ {
+ BN_clear_free(ret);
+ }
+ ret = NULL;
+ }
+ BN_CTX_end(ctx);
+ bn_check_top(ret);
+ return ret;
+ }
diff --git a/openssl/crypto/bn/bn_word.c b/openssl/crypto/bn/bn_word.c
new file mode 100644
index 00000000..ee7b87c4
--- /dev/null
+++ b/openssl/crypto/bn/bn_word.c
@@ -0,0 +1,247 @@
+/* crypto/bn/bn_word.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include "bn_lcl.h"
+
+BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w)
+ {
+#ifndef BN_LLONG
+ BN_ULONG ret=0;
+#else
+ BN_ULLONG ret=0;
+#endif
+ int i;
+
+ if (w == 0)
+ return (BN_ULONG)-1;
+
+ bn_check_top(a);
+ w&=BN_MASK2;
+ for (i=a->top-1; i>=0; i--)
+ {
+#ifndef BN_LLONG
+ ret=((ret<<BN_BITS4)|((a->d[i]>>BN_BITS4)&BN_MASK2l))%w;
+ ret=((ret<<BN_BITS4)|(a->d[i]&BN_MASK2l))%w;
+#else
+ ret=(BN_ULLONG)(((ret<<(BN_ULLONG)BN_BITS2)|a->d[i])%
+ (BN_ULLONG)w);
+#endif
+ }
+ return((BN_ULONG)ret);
+ }
+
+BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w)
+ {
+ BN_ULONG ret = 0;
+ int i, j;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ if (!w)
+ /* actually this an error (division by zero) */
+ return (BN_ULONG)-1;
+ if (a->top == 0)
+ return 0;
+
+ /* normalize input (so bn_div_words doesn't complain) */
+ j = BN_BITS2 - BN_num_bits_word(w);
+ w <<= j;
+ if (!BN_lshift(a, a, j))
+ return (BN_ULONG)-1;
+
+ for (i=a->top-1; i>=0; i--)
+ {
+ BN_ULONG l,d;
+
+ l=a->d[i];
+ d=bn_div_words(ret,l,w);
+ ret=(l-((d*w)&BN_MASK2))&BN_MASK2;
+ a->d[i]=d;
+ }
+ if ((a->top > 0) && (a->d[a->top-1] == 0))
+ a->top--;
+ ret >>= j;
+ bn_check_top(a);
+ return(ret);
+ }
+
+int BN_add_word(BIGNUM *a, BN_ULONG w)
+ {
+ BN_ULONG l;
+ int i;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ /* degenerate case: w is zero */
+ if (!w) return 1;
+ /* degenerate case: a is zero */
+ if(BN_is_zero(a)) return BN_set_word(a, w);
+ /* handle 'a' when negative */
+ if (a->neg)
+ {
+ a->neg=0;
+ i=BN_sub_word(a,w);
+ if (!BN_is_zero(a))
+ a->neg=!(a->neg);
+ return(i);
+ }
+ /* Only expand (and risk failing) if it's possibly necessary */
+ if (((BN_ULONG)(a->d[a->top - 1] + 1) == 0) &&
+ (bn_wexpand(a,a->top+1) == NULL))
+ return(0);
+ i=0;
+ for (;;)
+ {
+ if (i >= a->top)
+ l=w;
+ else
+ l=(a->d[i]+w)&BN_MASK2;
+ a->d[i]=l;
+ if (w > l)
+ w=1;
+ else
+ break;
+ i++;
+ }
+ if (i >= a->top)
+ a->top++;
+ bn_check_top(a);
+ return(1);
+ }
+
+int BN_sub_word(BIGNUM *a, BN_ULONG w)
+ {
+ int i;
+
+ bn_check_top(a);
+ w &= BN_MASK2;
+
+ /* degenerate case: w is zero */
+ if (!w) return 1;
+ /* degenerate case: a is zero */
+ if(BN_is_zero(a))
+ {
+ i = BN_set_word(a,w);
+ if (i != 0)
+ BN_set_negative(a, 1);
+ return i;
+ }
+ /* handle 'a' when negative */
+ if (a->neg)
+ {
+ a->neg=0;
+ i=BN_add_word(a,w);
+ a->neg=1;
+ return(i);
+ }
+
+ if ((a->top == 1) && (a->d[0] < w))
+ {
+ a->d[0]=w-a->d[0];
+ a->neg=1;
+ return(1);
+ }
+ i=0;
+ for (;;)
+ {
+ if (a->d[i] >= w)
+ {
+ a->d[i]-=w;
+ break;
+ }
+ else
+ {
+ a->d[i]=(a->d[i]-w)&BN_MASK2;
+ i++;
+ w=1;
+ }
+ }
+ if ((a->d[i] == 0) && (i == (a->top-1)))
+ a->top--;
+ bn_check_top(a);
+ return(1);
+ }
+
+int BN_mul_word(BIGNUM *a, BN_ULONG w)
+ {
+ BN_ULONG ll;
+
+ bn_check_top(a);
+ w&=BN_MASK2;
+ if (a->top)
+ {
+ if (w == 0)
+ BN_zero(a);
+ else
+ {
+ ll=bn_mul_words(a->d,a->d,a->top,w);
+ if (ll)
+ {
+ if (bn_wexpand(a,a->top+1) == NULL) return(0);
+ a->d[a->top++]=ll;
+ }
+ }
+ }
+ bn_check_top(a);
+ return(1);
+ }
+
diff --git a/openssl/crypto/bn/bnspeed.c b/openssl/crypto/bn/bnspeed.c
new file mode 100644
index 00000000..b554ac8c
--- /dev/null
+++ b/openssl/crypto/bn/bnspeed.c
@@ -0,0 +1,233 @@
+/* unused */
+
+/* crypto/bn/bnspeed.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+/* most of this code has been pilfered from my libdes speed.c program */
+
+#define BASENUM 1000000
+#undef PROG
+#define PROG bnspeed_main
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <signal.h>
+#include <string.h>
+#include <openssl/crypto.h>
+#include <openssl/err.h>
+
+#if !defined(OPENSSL_SYS_MSDOS) && (!defined(OPENSSL_SYS_VMS) || defined(__DECC)) && !defined(OPENSSL_SYS_MACOSX)
+#define TIMES
+#endif
+
+#ifndef _IRIX
+#include <time.h>
+#endif
+#ifdef TIMES
+#include <sys/types.h>
+#include <sys/times.h>
+#endif
+
+/* Depending on the VMS version, the tms structure is perhaps defined.
+ The __TMS macro will show if it was. If it wasn't defined, we should
+ undefine TIMES, since that tells the rest of the program how things
+ should be handled. -- Richard Levitte */
+#if defined(OPENSSL_SYS_VMS_DECC) && !defined(__TMS)
+#undef TIMES
+#endif
+
+#ifndef TIMES
+#include <sys/timeb.h>
+#endif
+
+#if defined(sun) || defined(__ultrix)
+#define _POSIX_SOURCE
+#include <limits.h>
+#include <sys/param.h>
+#endif
+
+#include <openssl/bn.h>
+#include <openssl/x509.h>
+
+/* The following if from times(3) man page. It may need to be changed */
+#ifndef HZ
+# ifndef CLK_TCK
+# ifndef _BSD_CLK_TCK_ /* FreeBSD hack */
+# define HZ 100.0
+# else /* _BSD_CLK_TCK_ */
+# define HZ ((double)_BSD_CLK_TCK_)
+# endif
+# else /* CLK_TCK */
+# define HZ ((double)CLK_TCK)
+# endif
+#endif
+
+#undef BUFSIZE
+#define BUFSIZE ((long)1024*8)
+int run=0;
+
+static double Time_F(int s);
+#define START 0
+#define STOP 1
+
+static double Time_F(int s)
+ {
+ double ret;
+#ifdef TIMES
+ static struct tms tstart,tend;
+
+ if (s == START)
+ {
+ times(&tstart);
+ return(0);
+ }
+ else
+ {
+ times(&tend);
+ ret=((double)(tend.tms_utime-tstart.tms_utime))/HZ;
+ return((ret < 1e-3)?1e-3:ret);
+ }
+#else /* !times() */
+ static struct timeb tstart,tend;
+ long i;
+
+ if (s == START)
+ {
+ ftime(&tstart);
+ return(0);
+ }
+ else
+ {
+ ftime(&tend);
+ i=(long)tend.millitm-(long)tstart.millitm;
+ ret=((double)(tend.time-tstart.time))+((double)i)/1000.0;
+ return((ret < 0.001)?0.001:ret);
+ }
+#endif
+ }
+
+#define NUM_SIZES 5
+static int sizes[NUM_SIZES]={128,256,512,1024,2048};
+/*static int sizes[NUM_SIZES]={59,179,299,419,539}; */
+
+void do_mul(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_CTX *ctx);
+
+int main(int argc, char **argv)
+ {
+ BN_CTX *ctx;
+ BIGNUM a,b,c;
+
+ ctx=BN_CTX_new();
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ do_mul(&a,&b,&c,ctx);
+ }
+
+void do_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ int i,j,k;
+ double tm;
+ long num;
+
+ for (i=0; i<NUM_SIZES; i++)
+ {
+ num=BASENUM;
+ if (i) num/=(i*3);
+ BN_rand(a,sizes[i],1,0);
+ for (j=i; j<NUM_SIZES; j++)
+ {
+ BN_rand(b,sizes[j],1,0);
+ Time_F(START);
+ for (k=0; k<num; k++)
+ BN_mul(r,b,a,ctx);
+ tm=Time_F(STOP);
+ printf("mul %4d x %4d -> %8.3fms\n",sizes[i],sizes[j],tm*1000.0/num);
+ }
+ }
+
+ for (i=0; i<NUM_SIZES; i++)
+ {
+ num=BASENUM;
+ if (i) num/=(i*3);
+ BN_rand(a,sizes[i],1,0);
+ Time_F(START);
+ for (k=0; k<num; k++)
+ BN_sqr(r,a,ctx);
+ tm=Time_F(STOP);
+ printf("sqr %4d x %4d -> %8.3fms\n",sizes[i],sizes[i],tm*1000.0/num);
+ }
+
+ for (i=0; i<NUM_SIZES; i++)
+ {
+ num=BASENUM/10;
+ if (i) num/=(i*3);
+ BN_rand(a,sizes[i]-1,1,0);
+ for (j=i; j<NUM_SIZES; j++)
+ {
+ BN_rand(b,sizes[j],1,0);
+ Time_F(START);
+ for (k=0; k<100000; k++)
+ BN_div(r, NULL, b, a,ctx);
+ tm=Time_F(STOP);
+ printf("div %4d / %4d -> %8.3fms\n",sizes[j],sizes[i]-1,tm*1000.0/num);
+ }
+ }
+ }
+
diff --git a/openssl/crypto/bn/bntest.c b/openssl/crypto/bn/bntest.c
new file mode 100644
index 00000000..0cd99c5b
--- /dev/null
+++ b/openssl/crypto/bn/bntest.c
@@ -0,0 +1,2013 @@
+/* crypto/bn/bntest.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the Eric Young open source
+ * license provided above.
+ *
+ * The binary polynomial arithmetic software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+/* Until the key-gen callbacks are modified to use newer prototypes, we allow
+ * deprecated functions for openssl-internal code */
+#ifdef OPENSSL_NO_DEPRECATED
+#undef OPENSSL_NO_DEPRECATED
+#endif
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "e_os.h"
+
+#include <openssl/bio.h>
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+#include <openssl/x509.h>
+#include <openssl/err.h>
+
+const int num0 = 100; /* number of tests */
+const int num1 = 50; /* additional tests for some functions */
+const int num2 = 5; /* number of tests for slow functions */
+
+int test_add(BIO *bp);
+int test_sub(BIO *bp);
+int test_lshift1(BIO *bp);
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
+int test_rshift1(BIO *bp);
+int test_rshift(BIO *bp,BN_CTX *ctx);
+int test_div(BIO *bp,BN_CTX *ctx);
+int test_div_word(BIO *bp);
+int test_div_recp(BIO *bp,BN_CTX *ctx);
+int test_mul(BIO *bp);
+int test_sqr(BIO *bp,BN_CTX *ctx);
+int test_mont(BIO *bp,BN_CTX *ctx);
+int test_mod(BIO *bp,BN_CTX *ctx);
+int test_mod_mul(BIO *bp,BN_CTX *ctx);
+int test_mod_exp(BIO *bp,BN_CTX *ctx);
+int test_mod_exp_mont_consttime(BIO *bp,BN_CTX *ctx);
+int test_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_add(BIO *bp);
+int test_gf2m_mod(BIO *bp);
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx);
+int test_kron(BIO *bp,BN_CTX *ctx);
+int test_sqrt(BIO *bp,BN_CTX *ctx);
+int rand_neg(void);
+static int results=0;
+
+static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
+"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+static void message(BIO *out, char *m)
+ {
+ fprintf(stderr, "test %s\n", m);
+ BIO_puts(out, "print \"test ");
+ BIO_puts(out, m);
+ BIO_puts(out, "\\n\"\n");
+ }
+
+int main(int argc, char *argv[])
+ {
+ BN_CTX *ctx;
+ BIO *out;
+ char *outfile=NULL;
+
+ results = 0;
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
+
+ argc--;
+ argv++;
+ while (argc >= 1)
+ {
+ if (strcmp(*argv,"-results") == 0)
+ results=1;
+ else if (strcmp(*argv,"-out") == 0)
+ {
+ if (--argc < 1) break;
+ outfile= *(++argv);
+ }
+ argc--;
+ argv++;
+ }
+
+
+ ctx=BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+
+ out=BIO_new(BIO_s_file());
+ if (out == NULL) EXIT(1);
+ if (outfile == NULL)
+ {
+ BIO_set_fp(out,stdout,BIO_NOCLOSE);
+ }
+ else
+ {
+ if (!BIO_write_filename(out,outfile))
+ {
+ perror(outfile);
+ EXIT(1);
+ }
+ }
+
+ if (!results)
+ BIO_puts(out,"obase=16\nibase=16\n");
+
+ message(out,"BN_add");
+ if (!test_add(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_sub");
+ if (!test_sub(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift1");
+ if (!test_lshift1(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift (fixed)");
+ if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_lshift");
+ if (!test_lshift(out,ctx,NULL)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_rshift1");
+ if (!test_rshift1(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_rshift");
+ if (!test_rshift(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_sqr");
+ if (!test_sqr(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mul");
+ if (!test_mul(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div");
+ if (!test_div(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div_word");
+ if (!test_div_word(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_div_recp");
+ if (!test_div_recp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod");
+ if (!test_mod(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_mul");
+ if (!test_mod_mul(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mont");
+ if (!test_mont(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_exp");
+ if (!test_mod_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_exp_mont_consttime");
+ if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_exp");
+ if (!test_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_kronecker");
+ if (!test_kron(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_sqrt");
+ if (!test_sqrt(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_add");
+ if (!test_gf2m_add(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod");
+ if (!test_gf2m_mod(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_mul");
+ if (!test_gf2m_mod_mul(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqr");
+ if (!test_gf2m_mod_sqr(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_inv");
+ if (!test_gf2m_mod_inv(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_div");
+ if (!test_gf2m_mod_div(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_exp");
+ if (!test_gf2m_mod_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqrt");
+ if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_solve_quad");
+ if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ BN_CTX_free(ctx);
+ BIO_free(out);
+
+/**/
+ EXIT(0);
+err:
+ BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
+ * the failure, see test_bn in test/Makefile.ssl*/
+ (void)BIO_flush(out);
+ ERR_load_crypto_strings();
+ ERR_print_errors_fp(stderr);
+ EXIT(1);
+ return(1);
+ }
+
+int test_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ BN_bntest_rand(&a,512,0,0);
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(&b,450+i,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_add(&c,&a,&b);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," + ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ a.neg=!a.neg;
+ b.neg=!b.neg;
+ BN_add(&c,&c,&b);
+ BN_add(&c,&c,&a);
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"Add test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return(1);
+ }
+
+int test_sub(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,512,0,0);
+ BN_copy(&b,&a);
+ if (BN_set_bit(&a,i)==0) return(0);
+ BN_add_word(&b,i);
+ }
+ else
+ {
+ BN_bntest_rand(&b,400+i-num1,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ }
+ BN_sub(&c,&a,&b);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," - ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_add(&c,&c,&b);
+ BN_sub(&c,&c,&a);
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"Subtract test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return(1);
+ }
+
+int test_div(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,e;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,400,0,0);
+ BN_copy(&b,&a);
+ BN_lshift(&a,&a,i);
+ BN_add_word(&a,i);
+ }
+ else
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_div(&d,&c,&a,&b,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&d);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(&e,&d,&b,ctx);
+ BN_add(&d,&e,&c);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Division test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ return(1);
+ }
+
+static void print_word(BIO *bp,BN_ULONG w)
+ {
+#ifdef SIXTY_FOUR_BIT
+ if (sizeof(w) > sizeof(unsigned long))
+ {
+ unsigned long h=(unsigned long)(w>>32),
+ l=(unsigned long)(w);
+
+ if (h) BIO_printf(bp,"%lX%08lX",h,l);
+ else BIO_printf(bp,"%lX",l);
+ return;
+ }
+#endif
+ BIO_printf(bp,BN_HEX_FMT1,w);
+ }
+
+int test_div_word(BIO *bp)
+ {
+ BIGNUM a,b;
+ BN_ULONG r,s;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+
+ for (i=0; i<num0; i++)
+ {
+ do {
+ BN_bntest_rand(&a,512,-1,0);
+ BN_bntest_rand(&b,BN_BITS2,-1,0);
+ s = b.d[0];
+ } while (!s);
+
+ BN_copy(&b, &a);
+ r = BN_div_word(&b, s);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&b);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ print_word(bp,r);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul_word(&b,s);
+ BN_add_word(&b,r);
+ BN_sub(&b,&a,&b);
+ if(!BN_is_zero(&b))
+ {
+ fprintf(stderr,"Division (word) test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ return(1);
+ }
+
+int test_div_recp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,e;
+ BN_RECP_CTX recp;
+ int i;
+
+ BN_RECP_CTX_init(&recp);
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i < num1)
+ {
+ BN_bntest_rand(&a,400,0,0);
+ BN_copy(&b,&a);
+ BN_lshift(&a,&a,i);
+ BN_add_word(&a,i);
+ }
+ else
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_RECP_CTX_set(&recp,&b,ctx);
+ BN_div_recp(&d,&c,&a,&recp,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&d);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(&e,&d,&b,ctx);
+ BN_add(&d,&e,&c);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Reciprocal division test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,&a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,&b);
+ fprintf(stderr,"\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ BN_RECP_CTX_free(&recp);
+ return(1);
+ }
+
+int test_mul(BIO *bp)
+ {
+ BIGNUM a,b,c,d,e;
+ int i;
+ BN_CTX *ctx;
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0+num1; i++)
+ {
+ if (i <= num1)
+ {
+ BN_bntest_rand(&a,100,0,0);
+ BN_bntest_rand(&b,100,0,0);
+ }
+ else
+ BN_bntest_rand(&b,i-num1,0,0);
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_mul(&c,&a,&b,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(&d,&e,&c,&a,ctx);
+ BN_sub(&d,&d,&b);
+ if(!BN_is_zero(&d) || !BN_is_zero(&e))
+ {
+ fprintf(stderr,"Multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ BN_CTX_free(ctx);
+ return(1);
+ }
+
+int test_sqr(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,c,d,e;
+ int i;
+
+ BN_init(&a);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&e);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(&a,40+i*10,0,0);
+ a.neg=rand_neg();
+ BN_sqr(&c,&a,ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(&d,&e,&c,&a,ctx);
+ BN_sub(&d,&d,&a);
+ if(!BN_is_zero(&d) || !BN_is_zero(&e))
+ {
+ fprintf(stderr,"Square test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&e);
+ return(1);
+ }
+
+int test_mont(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM a,b,c,d,A,B;
+ BIGNUM n;
+ int i;
+ BN_MONT_CTX *mont;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&d);
+ BN_init(&A);
+ BN_init(&B);
+ BN_init(&n);
+
+ mont=BN_MONT_CTX_new();
+ if (mont == NULL)
+ return 0;
+
+ BN_bntest_rand(&a,100,0,0); /**/
+ BN_bntest_rand(&b,100,0,0); /**/
+ for (i=0; i<num2; i++)
+ {
+ int bits = (200*(i+1))/num2;
+
+ if (bits == 0)
+ continue;
+ BN_bntest_rand(&n,bits,0,1);
+ BN_MONT_CTX_set(mont,&n,ctx);
+
+ BN_nnmod(&a,&a,&n,ctx);
+ BN_nnmod(&b,&b,&n,ctx);
+
+ BN_to_montgomery(&A,&a,mont,ctx);
+ BN_to_montgomery(&B,&b,mont,ctx);
+
+ BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
+ BN_from_montgomery(&A,&c,mont,ctx);/**/
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+#ifdef undef
+fprintf(stderr,"%d * %d %% %d\n",
+BN_num_bits(&a),
+BN_num_bits(&b),
+BN_num_bits(mont->N));
+#endif
+ BN_print(bp,&a);
+ BIO_puts(bp," * ");
+ BN_print(bp,&b);
+ BIO_puts(bp," % ");
+ BN_print(bp,&(mont->N));
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&A);
+ BIO_puts(bp,"\n");
+ }
+ BN_mod_mul(&d,&a,&b,&n,ctx);
+ BN_sub(&d,&d,&A);
+ if(!BN_is_zero(&d))
+ {
+ fprintf(stderr,"Montgomery multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_MONT_CTX_free(mont);
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ BN_free(&d);
+ BN_free(&A);
+ BN_free(&B);
+ BN_free(&n);
+ return(1);
+ }
+
+int test_mod(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(a,1024,0,0); /**/
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(b,450+i*10,0,0); /**/
+ a->neg=rand_neg();
+ b->neg=rand_neg();
+ BN_mod(c,a,b,ctx);/**/
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," % ");
+ BN_print(bp,b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(d,e,a,b,ctx);
+ BN_sub(e,e,c);
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"Modulo test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_mul(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i,j;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ for (j=0; j<3; j++) {
+ BN_bntest_rand(c,1024,0,0); /**/
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a,475+i*10,0,0); /**/
+ BN_bntest_rand(b,425+i*11,0,0); /**/
+ a->neg=rand_neg();
+ b->neg=rand_neg();
+ if (!BN_mod_mul(e,a,b,c,ctx))
+ {
+ unsigned long l;
+
+ while ((l=ERR_get_error()))
+ fprintf(stderr,"ERROR:%s\n",
+ ERR_error_string(l,NULL));
+ EXIT(1);
+ }
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ if ((a->neg ^ b->neg) && !BN_is_zero(e))
+ {
+ /* If (a*b) % c is negative, c must be added
+ * in order to obtain the normalized remainder
+ * (new with OpenSSL 0.9.7, previous versions of
+ * BN_mod_mul could generate negative results)
+ */
+ BIO_puts(bp," + ");
+ BN_print(bp,c);
+ }
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,e);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d,a,b,ctx);
+ BN_sub(d,d,e);
+ BN_div(a,b,d,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo multiply test failed!\n");
+ ERR_print_errors_fp(stderr);
+ return 0;
+ }
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_exp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_mod_exp(d,a,b,c,ctx))
+ return(0);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_exp(e,a,b,ctx);
+ BN_sub(e,e,d);
+ BN_div(a,b,e,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_mod_exp_mont_consttime(d,a,b,c,ctx,NULL))
+ return(00);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_exp(e,a,b,ctx);
+ BN_sub(e,e,d);
+ BN_div(a,b,e,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_exp(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*d,*e,*one;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ d=BN_new();
+ e=BN_new();
+ one=BN_new();
+ BN_one(one);
+
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (BN_exp(d,a,b,ctx) <= 0)
+ return(0);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_one(e);
+ for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
+ BN_mul(e,e,a,ctx);
+ BN_sub(e,e,d);
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"Exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(d);
+ BN_free(e);
+ BN_free(one);
+ return(1);
+ }
+
+int test_gf2m_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i, ret = 0;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_rand(&a,512,0,0);
+ BN_copy(&b, BN_value_one());
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_GF2m_add(&c,&a,&b);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,&b);
+ BIO_puts(bp," = ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+#endif
+ /* Test that two added values have the correct parity. */
+ if((BN_is_odd(&a) && BN_is_odd(&c)) || (!BN_is_odd(&a) && !BN_is_odd(&c)))
+ {
+ fprintf(stderr,"GF(2^m) addition test (a) failed!\n");
+ goto err;
+ }
+ BN_GF2m_add(&c,&c,&c);
+ /* Test that c + c = 0. */
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"GF(2^m) addition test (b) failed!\n");
+ goto err;
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return ret;
+ }
+
+int test_gf2m_mod(BIO *bp)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, a, c);
+ BN_GF2m_mod(e, d, b[j]);
+ /* Test that a + (a mod p) mod p == 0. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modulo test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+ g=BN_new();
+ h=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ BN_bntest_rand(c, 1024, 0, 0);
+ BN_bntest_rand(d, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_mul(e, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,c);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,e);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, a, d);
+ BN_GF2m_mod_mul(g, f, c, b[j], ctx);
+ BN_GF2m_mod_mul(h, d, c, b[j], ctx);
+ BN_GF2m_add(f, e, g);
+ BN_GF2m_add(f, f, h);
+ /* Test that (a+d)*c = a*c + d*c. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular multiplication test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ BN_free(g);
+ BN_free(h);
+ return ret;
+ }
+
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_sqr(c, a, b[j], ctx);
+ BN_copy(d, a);
+ BN_GF2m_mod_mul(d, a, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ 2 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp,"; a * a = ");
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, c, d);
+ /* Test that a*a = a^2. */
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"GF(2^m) modular squaring test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_inv(c, a, b[j], ctx);
+ BN_GF2m_mod_mul(d, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " * ");
+ BN_print(bp,c);
+ BIO_puts(bp," - 1 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((1/a)*a) = 1. */
+ if(!BN_is_one(d))
+ {
+ fprintf(stderr,"GF(2^m) modular inversion test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_div(d, a, c, b[j], ctx);
+ BN_GF2m_mod_mul(e, d, c, b[j], ctx);
+ BN_GF2m_mod_div(f, a, e, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp," * ");
+ BN_print(bp,d);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((a/c)*c)/a = 1. */
+ if(!BN_is_one(f))
+ {
+ fprintf(stderr,"GF(2^m) modular division test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ BN_bntest_rand(d, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_exp(e, a, c, b[j], ctx);
+ BN_GF2m_mod_exp(f, a, d, b[j], ctx);
+ BN_GF2m_mod_mul(e, e, f, b[j], ctx);
+ BN_add(f, c, d);
+ BN_GF2m_mod_exp(f, a, f, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " ^ (");
+ BN_print(bp,c);
+ BIO_puts(bp," + ");
+ BN_print(bp,d);
+ BIO_puts(bp, ") = ");
+ BN_print(bp,e);
+ BIO_puts(bp, "; - ");
+ BN_print(bp,f);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, e, f);
+ /* Test that a^(c+d)=a^c*a^d. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular exponentiation test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+ BN_GF2m_mod_sqrt(d, a, b[j], ctx);
+ BN_GF2m_mod_sqr(e, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,d);
+ BIO_puts(bp, " ^ 2 - ");
+ BN_print(bp,a);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, c, e);
+ /* Test that d^2 = a, where d = sqrt(a). */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular square root test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, s = 0, t, ret = 0;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
+ if (t)
+ {
+ s++;
+ BN_GF2m_mod_sqr(d, c, b[j], ctx);
+ BN_GF2m_add(d, c, d);
+ BN_GF2m_mod(e, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,c);
+ BIO_puts(bp, " is root of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ BN_GF2m_add(e, e, d);
+ /* Test that solution of quadratic c satisfies c^2 + c = a. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modular solve quadratic test failed!\n");
+ goto err;
+ }
+
+ }
+ else
+ {
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BIO_puts(bp, "There are no roots of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ }
+ }
+ }
+ if (s == 0)
+ {
+ fprintf(stderr,"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n", num0);
+ fprintf(stderr,"this is very unlikely and probably indicates an error.\n");
+ goto err;
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+static int genprime_cb(int p, int n, BN_GENCB *arg)
+ {
+ char c='*';
+
+ if (p == 0) c='.';
+ if (p == 1) c='+';
+ if (p == 2) c='*';
+ if (p == 3) c='\n';
+ putc(c, stderr);
+ fflush(stderr);
+ return 1;
+ }
+
+int test_kron(BIO *bp, BN_CTX *ctx)
+ {
+ BN_GENCB cb;
+ BIGNUM *a,*b,*r,*t;
+ int i;
+ int legendre, kronecker;
+ int ret = 0;
+
+ a = BN_new();
+ b = BN_new();
+ r = BN_new();
+ t = BN_new();
+ if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
+ /* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
+ * In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
+ * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
+ * So we generate a random prime b and compare these values
+ * for a number of random a's. (That is, we run the Solovay-Strassen
+ * primality test to confirm that b is prime, except that we
+ * don't want to test whether b is prime but whether BN_kronecker
+ * works.) */
+
+ if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb)) goto err;
+ b->neg = rand_neg();
+ putc('\n', stderr);
+
+ for (i = 0; i < num0; i++)
+ {
+ if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
+ a->neg = rand_neg();
+
+ /* t := (|b|-1)/2 (note that b is odd) */
+ if (!BN_copy(t, b)) goto err;
+ t->neg = 0;
+ if (!BN_sub_word(t, 1)) goto err;
+ if (!BN_rshift1(t, t)) goto err;
+ /* r := a^t mod b */
+ b->neg=0;
+
+ if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
+ b->neg=1;
+
+ if (BN_is_word(r, 1))
+ legendre = 1;
+ else if (BN_is_zero(r))
+ legendre = 0;
+ else
+ {
+ if (!BN_add_word(r, 1)) goto err;
+ if (0 != BN_ucmp(r, b))
+ {
+ fprintf(stderr, "Legendre symbol computation failed\n");
+ goto err;
+ }
+ legendre = -1;
+ }
+
+ kronecker = BN_kronecker(a, b, ctx);
+ if (kronecker < -1) goto err;
+ /* we actually need BN_kronecker(a, |b|) */
+ if (a->neg && b->neg)
+ kronecker = -kronecker;
+
+ if (legendre != kronecker)
+ {
+ fprintf(stderr, "legendre != kronecker; a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", b = ");
+ BN_print_fp(stderr, b);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ ret = 1;
+ err:
+ if (a != NULL) BN_free(a);
+ if (b != NULL) BN_free(b);
+ if (r != NULL) BN_free(r);
+ if (t != NULL) BN_free(t);
+ return ret;
+ }
+
+int test_sqrt(BIO *bp, BN_CTX *ctx)
+ {
+ BN_GENCB cb;
+ BIGNUM *a,*p,*r;
+ int i, j;
+ int ret = 0;
+
+ a = BN_new();
+ p = BN_new();
+ r = BN_new();
+ if (a == NULL || p == NULL || r == NULL) goto err;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
+ for (i = 0; i < 16; i++)
+ {
+ if (i < 8)
+ {
+ unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
+
+ if (!BN_set_word(p, primes[i])) goto err;
+ }
+ else
+ {
+ if (!BN_set_word(a, 32)) goto err;
+ if (!BN_set_word(r, 2*i + 1)) goto err;
+
+ if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) goto err;
+ putc('\n', stderr);
+ }
+ p->neg = rand_neg();
+
+ for (j = 0; j < num2; j++)
+ {
+ /* construct 'a' such that it is a square modulo p,
+ * but in general not a proper square and not reduced modulo p */
+ if (!BN_bntest_rand(r, 256, 0, 3)) goto err;
+ if (!BN_nnmod(r, r, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+ if (!BN_bntest_rand(a, 256, 0, 3)) goto err;
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(a, a, p, ctx)) goto err;
+ if (!BN_mul(a, a, r, ctx)) goto err;
+ if (rand_neg())
+ if (!BN_sub(a, a, p)) goto err;
+
+ if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+
+ if (BN_cmp(a, r) != 0)
+ {
+ fprintf(stderr, "BN_mod_sqrt failed: a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", r = ");
+ BN_print_fp(stderr, r);
+ fprintf(stderr, ", p = ");
+ BN_print_fp(stderr, p);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ }
+ ret = 1;
+ err:
+ if (a != NULL) BN_free(a);
+ if (p != NULL) BN_free(p);
+ if (r != NULL) BN_free(r);
+ return ret;
+ }
+
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
+ {
+ BIGNUM *a,*b,*c,*d;
+ int i;
+
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ BN_one(c);
+
+ if(a_)
+ a=a_;
+ else
+ {
+ a=BN_new();
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ }
+ for (i=0; i<num0; i++)
+ {
+ BN_lshift(b,a,i+1);
+ BN_add(c,c,c);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d,a,c,ctx);
+ BN_sub(d,d,b);
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"Left shift test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,b);
+ fprintf(stderr,"\nc=");
+ BN_print_fp(stderr,c);
+ fprintf(stderr,"\nd=");
+ BN_print_fp(stderr,d);
+ fprintf(stderr,"\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ return(1);
+ }
+
+int test_lshift1(BIO *bp)
+ {
+ BIGNUM *a,*b,*c;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_lshift1(b,a);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * 2");
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_add(c,a,a);
+ BN_sub(a,b,c);
+ if(!BN_is_zero(a))
+ {
+ fprintf(stderr,"Left shift one test failed!\n");
+ return 0;
+ }
+
+ BN_copy(a,b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return(1);
+ }
+
+int test_rshift(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ BN_one(c);
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_rshift(b,a,i+1);
+ BN_add(c,c,c);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," / ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_div(d,e,a,c,ctx);
+ BN_sub(d,d,b);
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"Right shift test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
+int test_rshift1(BIO *bp)
+ {
+ BIGNUM *a,*b,*c;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+
+ BN_bntest_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ for (i=0; i<num0; i++)
+ {
+ BN_rshift1(b,a);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," / 2");
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,b);
+ BIO_puts(bp,"\n");
+ }
+ BN_sub(c,a,b);
+ BN_sub(c,c,b);
+ if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
+ {
+ fprintf(stderr,"Right shift one test failed!\n");
+ return 0;
+ }
+ BN_copy(a,b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return(1);
+ }
+
+int rand_neg(void)
+ {
+ static unsigned int neg=0;
+ static int sign[8]={0,0,0,1,1,0,1,1};
+
+ return(sign[(neg++)%8]);
+ }
diff --git a/openssl/crypto/bn/divtest.c b/openssl/crypto/bn/divtest.c
new file mode 100644
index 00000000..d3fc688f
--- /dev/null
+++ b/openssl/crypto/bn/divtest.c
@@ -0,0 +1,41 @@
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+
+static int Rand(n)
+{
+ unsigned char x[2];
+ RAND_pseudo_bytes(x,2);
+ return (x[0] + 2*x[1]);
+}
+
+static void bug(char *m, BIGNUM *a, BIGNUM *b)
+{
+ printf("%s!\na=",m);
+ BN_print_fp(stdout, a);
+ printf("\nb=");
+ BN_print_fp(stdout, b);
+ printf("\n");
+ fflush(stdout);
+}
+
+main()
+{
+ BIGNUM *a=BN_new(), *b=BN_new(), *c=BN_new(), *d=BN_new(),
+ *C=BN_new(), *D=BN_new();
+ BN_RECP_CTX *recp=BN_RECP_CTX_new();
+ BN_CTX *ctx=BN_CTX_new();
+
+ for(;;) {
+ BN_pseudo_rand(a,Rand(),0,0);
+ BN_pseudo_rand(b,Rand(),0,0);
+ if (BN_is_zero(b)) continue;
+
+ BN_RECP_CTX_set(recp,b,ctx);
+ if (BN_div(C,D,a,b,ctx) != 1)
+ bug("BN_div failed",a,b);
+ if (BN_div_recp(c,d,a,recp,ctx) != 1)
+ bug("BN_div_recp failed",a,b);
+ else if (BN_cmp(c,C) != 0 || BN_cmp(c,C) != 0)
+ bug("mismatch",a,b);
+ }
+}
diff --git a/openssl/crypto/bn/exp.c b/openssl/crypto/bn/exp.c
new file mode 100644
index 00000000..4865b0ef
--- /dev/null
+++ b/openssl/crypto/bn/exp.c
@@ -0,0 +1,62 @@
+/* unused */
+
+#include <stdio.h>
+#include <openssl/tmdiff.h>
+#include "bn_lcl.h"
+
+#define SIZE 256
+#define NUM (8*8*8)
+#define MOD (8*8*8*8*8)
+
+main(argc,argv)
+int argc;
+char *argv[];
+ {
+ BN_CTX ctx;
+ BIGNUM a,b,c,r,rr,t,l;
+ int j,i,size=SIZE,num=NUM,mod=MOD;
+ char *start,*end;
+ BN_MONT_CTX mont;
+ double d,md;
+
+ BN_MONT_CTX_init(&mont);
+ BN_CTX_init(&ctx);
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+ BN_init(&r);
+
+ start=ms_time_new();
+ end=ms_time_new();
+ while (size <= 1024*8)
+ {
+ BN_rand(&a,size,0,0);
+ BN_rand(&b,size,1,0);
+ BN_rand(&c,size,0,1);
+
+ BN_mod(&a,&a,&c,&ctx);
+
+ ms_time_get(start);
+ for (i=0; i<10; i++)
+ BN_MONT_CTX_set(&mont,&c,&ctx);
+ ms_time_get(end);
+ md=ms_time_diff(start,end);
+
+ ms_time_get(start);
+ for (i=0; i<num; i++)
+ {
+ /* bn_mull(&r,&a,&b,&ctx); */
+ /* BN_sqr(&r,&a,&ctx); */
+ BN_mod_exp_mont(&r,&a,&b,&c,&ctx,&mont);
+ }
+ ms_time_get(end);
+ d=ms_time_diff(start,end)/* *50/33 */;
+ printf("%5d bit:%6.2f %6d %6.4f %4d m_set(%5.4f)\n",size,
+ d,num,d/num,(int)((d/num)*mod),md/10.0);
+ num/=8;
+ mod/=8;
+ if (num <= 0) num=1;
+ size*=2;
+ }
+
+ }
diff --git a/openssl/crypto/bn/expspeed.c b/openssl/crypto/bn/expspeed.c
new file mode 100644
index 00000000..4d5f221f
--- /dev/null
+++ b/openssl/crypto/bn/expspeed.c
@@ -0,0 +1,353 @@
+/* unused */
+
+/* crypto/bn/expspeed.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+/* most of this code has been pilfered from my libdes speed.c program */
+
+#define BASENUM 5000
+#define NUM_START 0
+
+
+/* determine timings for modexp, modmul, modsqr, gcd, Kronecker symbol,
+ * modular inverse, or modular square roots */
+#define TEST_EXP
+#undef TEST_MUL
+#undef TEST_SQR
+#undef TEST_GCD
+#undef TEST_KRON
+#undef TEST_INV
+#undef TEST_SQRT
+#define P_MOD_64 9 /* least significant 6 bits for prime to be used for BN_sqrt timings */
+
+#if defined(TEST_EXP) + defined(TEST_MUL) + defined(TEST_SQR) + defined(TEST_GCD) + defined(TEST_KRON) + defined(TEST_INV) +defined(TEST_SQRT) != 1
+# error "choose one test"
+#endif
+
+#if defined(TEST_INV) || defined(TEST_SQRT)
+# define C_PRIME
+static void genprime_cb(int p, int n, void *arg);
+#endif
+
+
+
+#undef PROG
+#define PROG bnspeed_main
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <signal.h>
+#include <string.h>
+#include <openssl/crypto.h>
+#include <openssl/err.h>
+#include <openssl/rand.h>
+
+#if !defined(OPENSSL_SYS_MSDOS) && (!defined(OPENSSL_SYS_VMS) || defined(__DECC)) && !defined(OPENSSL_SYS_MACOSX)
+#define TIMES
+#endif
+
+#ifndef _IRIX
+#include <time.h>
+#endif
+#ifdef TIMES
+#include <sys/types.h>
+#include <sys/times.h>
+#endif
+
+/* Depending on the VMS version, the tms structure is perhaps defined.
+ The __TMS macro will show if it was. If it wasn't defined, we should
+ undefine TIMES, since that tells the rest of the program how things
+ should be handled. -- Richard Levitte */
+#if defined(OPENSSL_SYS_VMS_DECC) && !defined(__TMS)
+#undef TIMES
+#endif
+
+#ifndef TIMES
+#include <sys/timeb.h>
+#endif
+
+#if defined(sun) || defined(__ultrix)
+#define _POSIX_SOURCE
+#include <limits.h>
+#include <sys/param.h>
+#endif
+
+#include <openssl/bn.h>
+#include <openssl/x509.h>
+
+/* The following if from times(3) man page. It may need to be changed */
+#ifndef HZ
+# ifndef CLK_TCK
+# ifndef _BSD_CLK_TCK_ /* FreeBSD hack */
+# define HZ 100.0
+# else /* _BSD_CLK_TCK_ */
+# define HZ ((double)_BSD_CLK_TCK_)
+# endif
+# else /* CLK_TCK */
+# define HZ ((double)CLK_TCK)
+# endif
+#endif
+
+#undef BUFSIZE
+#define BUFSIZE ((long)1024*8)
+int run=0;
+
+static double Time_F(int s);
+#define START 0
+#define STOP 1
+
+static double Time_F(int s)
+ {
+ double ret;
+#ifdef TIMES
+ static struct tms tstart,tend;
+
+ if (s == START)
+ {
+ times(&tstart);
+ return(0);
+ }
+ else
+ {
+ times(&tend);
+ ret=((double)(tend.tms_utime-tstart.tms_utime))/HZ;
+ return((ret < 1e-3)?1e-3:ret);
+ }
+#else /* !times() */
+ static struct timeb tstart,tend;
+ long i;
+
+ if (s == START)
+ {
+ ftime(&tstart);
+ return(0);
+ }
+ else
+ {
+ ftime(&tend);
+ i=(long)tend.millitm-(long)tstart.millitm;
+ ret=((double)(tend.time-tstart.time))+((double)i)/1000.0;
+ return((ret < 0.001)?0.001:ret);
+ }
+#endif
+ }
+
+#define NUM_SIZES 7
+#if NUM_START > NUM_SIZES
+# error "NUM_START > NUM_SIZES"
+#endif
+static int sizes[NUM_SIZES]={128,256,512,1024,2048,4096,8192};
+static int mul_c[NUM_SIZES]={8*8*8*8*8*8,8*8*8*8*8,8*8*8*8,8*8*8,8*8,8,1};
+/*static int sizes[NUM_SIZES]={59,179,299,419,539}; */
+
+#define RAND_SEED(string) { const char str[] = string; RAND_seed(string, sizeof str); }
+
+void do_mul_exp(BIGNUM *r,BIGNUM *a,BIGNUM *b,BIGNUM *c,BN_CTX *ctx);
+
+int main(int argc, char **argv)
+ {
+ BN_CTX *ctx;
+ BIGNUM *a,*b,*c,*r;
+
+#if 1
+ if (!CRYPTO_set_mem_debug_functions(0,0,0,0,0))
+ abort();
+#endif
+
+ ctx=BN_CTX_new();
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ r=BN_new();
+
+ while (!RAND_status())
+ /* not enough bits */
+ RAND_SEED("I demand a manual recount!");
+
+ do_mul_exp(r,a,b,c,ctx);
+ return 0;
+ }
+
+void do_mul_exp(BIGNUM *r, BIGNUM *a, BIGNUM *b, BIGNUM *c, BN_CTX *ctx)
+ {
+ int i,k;
+ double tm;
+ long num;
+
+ num=BASENUM;
+ for (i=NUM_START; i<NUM_SIZES; i++)
+ {
+#ifdef C_PRIME
+# ifdef TEST_SQRT
+ if (!BN_set_word(a, 64)) goto err;
+ if (!BN_set_word(b, P_MOD_64)) goto err;
+# define ADD a
+# define REM b
+# else
+# define ADD NULL
+# define REM NULL
+# endif
+ if (!BN_generate_prime(c,sizes[i],0,ADD,REM,genprime_cb,NULL)) goto err;
+ putc('\n', stderr);
+ fflush(stderr);
+#endif
+
+ for (k=0; k<num; k++)
+ {
+ if (k%50 == 0) /* Average over num/50 different choices of random numbers. */
+ {
+ if (!BN_pseudo_rand(a,sizes[i],1,0)) goto err;
+
+ if (!BN_pseudo_rand(b,sizes[i],1,0)) goto err;
+
+#ifndef C_PRIME
+ if (!BN_pseudo_rand(c,sizes[i],1,1)) goto err;
+#endif
+
+#ifdef TEST_SQRT
+ if (!BN_mod_sqr(a,a,c,ctx)) goto err;
+ if (!BN_mod_sqr(b,b,c,ctx)) goto err;
+#else
+ if (!BN_nnmod(a,a,c,ctx)) goto err;
+ if (!BN_nnmod(b,b,c,ctx)) goto err;
+#endif
+
+ if (k == 0)
+ Time_F(START);
+ }
+
+#if defined(TEST_EXP)
+ if (!BN_mod_exp(r,a,b,c,ctx)) goto err;
+#elif defined(TEST_MUL)
+ {
+ int i = 0;
+ for (i = 0; i < 50; i++)
+ if (!BN_mod_mul(r,a,b,c,ctx)) goto err;
+ }
+#elif defined(TEST_SQR)
+ {
+ int i = 0;
+ for (i = 0; i < 50; i++)
+ {
+ if (!BN_mod_sqr(r,a,c,ctx)) goto err;
+ if (!BN_mod_sqr(r,b,c,ctx)) goto err;
+ }
+ }
+#elif defined(TEST_GCD)
+ if (!BN_gcd(r,a,b,ctx)) goto err;
+ if (!BN_gcd(r,b,c,ctx)) goto err;
+ if (!BN_gcd(r,c,a,ctx)) goto err;
+#elif defined(TEST_KRON)
+ if (-2 == BN_kronecker(a,b,ctx)) goto err;
+ if (-2 == BN_kronecker(b,c,ctx)) goto err;
+ if (-2 == BN_kronecker(c,a,ctx)) goto err;
+#elif defined(TEST_INV)
+ if (!BN_mod_inverse(r,a,c,ctx)) goto err;
+ if (!BN_mod_inverse(r,b,c,ctx)) goto err;
+#else /* TEST_SQRT */
+ if (!BN_mod_sqrt(r,a,c,ctx)) goto err;
+ if (!BN_mod_sqrt(r,b,c,ctx)) goto err;
+#endif
+ }
+ tm=Time_F(STOP);
+ printf(
+#if defined(TEST_EXP)
+ "modexp %4d ^ %4d %% %4d"
+#elif defined(TEST_MUL)
+ "50*modmul %4d %4d %4d"
+#elif defined(TEST_SQR)
+ "100*modsqr %4d %4d %4d"
+#elif defined(TEST_GCD)
+ "3*gcd %4d %4d %4d"
+#elif defined(TEST_KRON)
+ "3*kronecker %4d %4d %4d"
+#elif defined(TEST_INV)
+ "2*inv %4d %4d mod %4d"
+#else /* TEST_SQRT */
+ "2*sqrt [prime == %d (mod 64)] %4d %4d mod %4d"
+#endif
+ " -> %8.6fms %5.1f (%ld)\n",
+#ifdef TEST_SQRT
+ P_MOD_64,
+#endif
+ sizes[i],sizes[i],sizes[i],tm*1000.0/num,tm*mul_c[i]/num, num);
+ num/=7;
+ if (num <= 0) num=1;
+ }
+ return;
+
+ err:
+ ERR_print_errors_fp(stderr);
+ }
+
+
+#ifdef C_PRIME
+static void genprime_cb(int p, int n, void *arg)
+ {
+ char c='*';
+
+ if (p == 0) c='.';
+ if (p == 1) c='+';
+ if (p == 2) c='*';
+ if (p == 3) c='\n';
+ putc(c, stderr);
+ fflush(stderr);
+ (void)n;
+ (void)arg;
+ }
+#endif
diff --git a/openssl/crypto/bn/exptest.c b/openssl/crypto/bn/exptest.c
new file mode 100644
index 00000000..074a8e88
--- /dev/null
+++ b/openssl/crypto/bn/exptest.c
@@ -0,0 +1,204 @@
+/* crypto/bn/exptest.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "../e_os.h"
+
+#include <openssl/bio.h>
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+#include <openssl/err.h>
+
+#define NUM_BITS (BN_BITS*2)
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+int main(int argc, char *argv[])
+ {
+ BN_CTX *ctx;
+ BIO *out=NULL;
+ int i,ret;
+ unsigned char c;
+ BIGNUM *r_mont,*r_mont_const,*r_recp,*r_simple,*a,*b,*m;
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we don't
+ * even check its return value
+ * (which we should) */
+
+ ERR_load_BN_strings();
+
+ ctx=BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+ r_mont=BN_new();
+ r_mont_const=BN_new();
+ r_recp=BN_new();
+ r_simple=BN_new();
+ a=BN_new();
+ b=BN_new();
+ m=BN_new();
+ if ( (r_mont == NULL) || (r_recp == NULL) ||
+ (a == NULL) || (b == NULL))
+ goto err;
+
+ out=BIO_new(BIO_s_file());
+
+ if (out == NULL) EXIT(1);
+ BIO_set_fp(out,stdout,BIO_NOCLOSE);
+
+ for (i=0; i<200; i++)
+ {
+ RAND_bytes(&c,1);
+ c=(c%BN_BITS)-BN_BITS2;
+ BN_rand(a,NUM_BITS+c,0,0);
+
+ RAND_bytes(&c,1);
+ c=(c%BN_BITS)-BN_BITS2;
+ BN_rand(b,NUM_BITS+c,0,0);
+
+ RAND_bytes(&c,1);
+ c=(c%BN_BITS)-BN_BITS2;
+ BN_rand(m,NUM_BITS+c,0,1);
+
+ BN_mod(a,a,m,ctx);
+ BN_mod(b,b,m,ctx);
+
+ ret=BN_mod_exp_mont(r_mont,a,b,m,ctx,NULL);
+ if (ret <= 0)
+ {
+ printf("BN_mod_exp_mont() problems\n");
+ ERR_print_errors(out);
+ EXIT(1);
+ }
+
+ ret=BN_mod_exp_recp(r_recp,a,b,m,ctx);
+ if (ret <= 0)
+ {
+ printf("BN_mod_exp_recp() problems\n");
+ ERR_print_errors(out);
+ EXIT(1);
+ }
+
+ ret=BN_mod_exp_simple(r_simple,a,b,m,ctx);
+ if (ret <= 0)
+ {
+ printf("BN_mod_exp_simple() problems\n");
+ ERR_print_errors(out);
+ EXIT(1);
+ }
+
+ ret=BN_mod_exp_mont_consttime(r_mont_const,a,b,m,ctx,NULL);
+ if (ret <= 0)
+ {
+ printf("BN_mod_exp_mont_consttime() problems\n");
+ ERR_print_errors(out);
+ EXIT(1);
+ }
+
+ if (BN_cmp(r_simple, r_mont) == 0
+ && BN_cmp(r_simple,r_recp) == 0
+ && BN_cmp(r_simple,r_mont_const) == 0)
+ {
+ printf(".");
+ fflush(stdout);
+ }
+ else
+ {
+ if (BN_cmp(r_simple,r_mont) != 0)
+ printf("\nsimple and mont results differ\n");
+ if (BN_cmp(r_simple,r_mont_const) != 0)
+ printf("\nsimple and mont const time results differ\n");
+ if (BN_cmp(r_simple,r_recp) != 0)
+ printf("\nsimple and recp results differ\n");
+
+ printf("a (%3d) = ",BN_num_bits(a)); BN_print(out,a);
+ printf("\nb (%3d) = ",BN_num_bits(b)); BN_print(out,b);
+ printf("\nm (%3d) = ",BN_num_bits(m)); BN_print(out,m);
+ printf("\nsimple ="); BN_print(out,r_simple);
+ printf("\nrecp ="); BN_print(out,r_recp);
+ printf("\nmont ="); BN_print(out,r_mont);
+ printf("\nmont_ct ="); BN_print(out,r_mont_const);
+ printf("\n");
+ EXIT(1);
+ }
+ }
+ BN_free(r_mont);
+ BN_free(r_mont_const);
+ BN_free(r_recp);
+ BN_free(r_simple);
+ BN_free(a);
+ BN_free(b);
+ BN_free(m);
+ BN_CTX_free(ctx);
+ ERR_remove_thread_state(NULL);
+ CRYPTO_mem_leaks(out);
+ BIO_free(out);
+ printf(" done\n");
+ EXIT(0);
+err:
+ ERR_load_crypto_strings();
+ ERR_print_errors(out);
+#ifdef OPENSSL_SYS_NETWARE
+ printf("ERROR\n");
+#endif
+ EXIT(1);
+ return(1);
+ }
+
diff --git a/openssl/crypto/bn/todo b/openssl/crypto/bn/todo
new file mode 100644
index 00000000..e47e381a
--- /dev/null
+++ b/openssl/crypto/bn/todo
@@ -0,0 +1,3 @@
+Cache RECP_CTX values
+make the result argument independant of the inputs.
+split up the _exp_ functions