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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/ec
Initial import
Diffstat (limited to 'openssl/crypto/ec')
-rw-r--r--openssl/crypto/ec/ec.h1100
-rw-r--r--openssl/crypto/ec/ec2_mult.c386
-rw-r--r--openssl/crypto/ec/ec2_smpl.c1042
-rw-r--r--openssl/crypto/ec/ec_ameth.c659
-rw-r--r--openssl/crypto/ec/ec_asn1.c1429
-rw-r--r--openssl/crypto/ec/ec_check.c123
-rw-r--r--openssl/crypto/ec/ec_curve.c2059
-rw-r--r--openssl/crypto/ec/ec_cvt.c144
-rw-r--r--openssl/crypto/ec/ec_err.c258
-rw-r--r--openssl/crypto/ec/ec_key.c463
-rw-r--r--openssl/crypto/ec/ec_lcl.h393
-rw-r--r--openssl/crypto/ec/ec_lib.c1164
-rw-r--r--openssl/crypto/ec/ec_mult.c940
-rw-r--r--openssl/crypto/ec/ec_pmeth.c340
-rw-r--r--openssl/crypto/ec/ec_print.c195
-rw-r--r--openssl/crypto/ec/eck_prn.c391
-rw-r--r--openssl/crypto/ec/ecp_mont.c315
-rw-r--r--openssl/crypto/ec/ecp_nist.c210
-rw-r--r--openssl/crypto/ec/ecp_smpl.c1719
-rw-r--r--openssl/crypto/ec/ectest.c1334
20 files changed, 14664 insertions, 0 deletions
diff --git a/openssl/crypto/ec/ec.h b/openssl/crypto/ec/ec.h
new file mode 100644
index 00000000..ee707813
--- /dev/null
+++ b/openssl/crypto/ec/ec.h
@@ -0,0 +1,1100 @@
+/* crypto/ec/ec.h */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/**
+ * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
+ * \author Originally written by Bodo Moeller 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).
+ *
+ */
+/* ====================================================================
+ * 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 OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+#ifndef HEADER_EC_H
+#define HEADER_EC_H
+
+#include <openssl/opensslconf.h>
+
+#ifdef OPENSSL_NO_EC
+#error EC is disabled.
+#endif
+
+#include <openssl/asn1.h>
+#include <openssl/symhacks.h>
+#ifndef OPENSSL_NO_DEPRECATED
+#include <openssl/bn.h>
+#endif
+
+#ifdef __cplusplus
+extern "C" {
+#elif defined(__SUNPRO_C)
+# if __SUNPRO_C >= 0x520
+# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
+# endif
+#endif
+
+
+#ifndef OPENSSL_ECC_MAX_FIELD_BITS
+# define OPENSSL_ECC_MAX_FIELD_BITS 661
+#endif
+
+/** Enum for the point conversion form as defined in X9.62 (ECDSA)
+ * for the encoding of a elliptic curve point (x,y) */
+typedef enum {
+ /** the point is encoded as z||x, where the octet z specifies
+ * which solution of the quadratic equation y is */
+ POINT_CONVERSION_COMPRESSED = 2,
+ /** the point is encoded as z||x||y, where z is the octet 0x02 */
+ POINT_CONVERSION_UNCOMPRESSED = 4,
+ /** the point is encoded as z||x||y, where the octet z specifies
+ * which solution of the quadratic equation y is */
+ POINT_CONVERSION_HYBRID = 6
+} point_conversion_form_t;
+
+
+typedef struct ec_method_st EC_METHOD;
+
+typedef struct ec_group_st
+ /*
+ EC_METHOD *meth;
+ -- field definition
+ -- curve coefficients
+ -- optional generator with associated information (order, cofactor)
+ -- optional extra data (precomputed table for fast computation of multiples of generator)
+ -- ASN1 stuff
+ */
+ EC_GROUP;
+
+typedef struct ec_point_st EC_POINT;
+
+
+/********************************************************************/
+/* EC_METHODs for curves over GF(p) */
+/********************************************************************/
+
+/** Returns the basic GFp ec methods which provides the basis for the
+ * optimized methods.
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_simple_method(void);
+
+/** Returns GFp methods using montgomery multiplication.
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_mont_method(void);
+
+/** Returns GFp methods using optimized methods for NIST recommended curves
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nist_method(void);
+
+
+/********************************************************************/
+/* EC_METHOD for curves over GF(2^m) */
+/********************************************************************/
+
+/** Returns the basic GF2m ec method
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GF2m_simple_method(void);
+
+
+/********************************************************************/
+/* EC_GROUP functions */
+/********************************************************************/
+
+/** Creates a new EC_GROUP object
+ * \param meth EC_METHOD to use
+ * \return newly created EC_GROUP object or NULL in case of an error.
+ */
+EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
+
+/** Frees a EC_GROUP object
+ * \param group EC_GROUP object to be freed.
+ */
+void EC_GROUP_free(EC_GROUP *group);
+
+/** Clears and frees a EC_GROUP object
+ * \param group EC_GROUP object to be cleared and freed.
+ */
+void EC_GROUP_clear_free(EC_GROUP *group);
+
+/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
+ * \param dst destination EC_GROUP object
+ * \param src source EC_GROUP object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
+
+/** Creates a new EC_GROUP object and copies the copies the content
+ * form src to the newly created EC_KEY object
+ * \param src source EC_GROUP object
+ * \return newly created EC_GROUP object or NULL in case of an error.
+ */
+EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
+
+/** Returns the EC_METHOD of the EC_GROUP object.
+ * \param group EC_GROUP object
+ * \return EC_METHOD used in this EC_GROUP object.
+ */
+const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
+
+/** Returns the field type of the EC_METHOD.
+ * \param meth EC_METHOD object
+ * \return NID of the underlying field type OID.
+ */
+int EC_METHOD_get_field_type(const EC_METHOD *meth);
+
+/** Sets the generator and it's order/cofactor of a EC_GROUP object.
+ * \param group EC_GROUP object
+ * \param generator EC_POINT object with the generator.
+ * \param order the order of the group generated by the generator.
+ * \param cofactor the index of the sub-group generated by the generator
+ * in the group of all points on the elliptic curve.
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
+
+/** Returns the generator of a EC_GROUP object.
+ * \param group EC_GROUP object
+ * \return the currently used generator (possibly NULL).
+ */
+const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
+
+/** Gets the order of a EC_GROUP
+ * \param group EC_GROUP object
+ * \param order BIGNUM to which the order is copied
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
+
+/** Gets the cofactor of a EC_GROUP
+ * \param group EC_GROUP object
+ * \param cofactor BIGNUM to which the cofactor is copied
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
+
+/** Sets the name of a EC_GROUP object
+ * \param group EC_GROUP object
+ * \param nid NID of the curve name OID
+ */
+void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
+
+/** Returns the curve name of a EC_GROUP object
+ * \param group EC_GROUP object
+ * \return NID of the curve name OID or 0 if not set.
+ */
+int EC_GROUP_get_curve_name(const EC_GROUP *group);
+
+void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
+int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
+
+void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
+point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
+
+unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
+size_t EC_GROUP_get_seed_len(const EC_GROUP *);
+size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
+
+/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the prime number
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
+
+/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the polynomial defining the underlying field
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
+
+/** Returns the number of bits needed to represent a field element
+ * \param group EC_GROUP object
+ * \return number of bits needed to represent a field element
+ */
+int EC_GROUP_get_degree(const EC_GROUP *group);
+
+/** Checks whether the parameter in the EC_GROUP define a valid ec group
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if group is a valid ec group and 0 otherwise
+ */
+int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
+
+/** Checks whether the discriminant of the elliptic curve is zero or not
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if the discriminant is not zero and 0 otherwise
+ */
+int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
+
+/** Compares two EC_GROUP objects
+ * \param a first EC_GROUP object
+ * \param b second EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both groups are equal and 1 otherwise
+ */
+int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
+
+/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
+ * after choosing an appropriate EC_METHOD */
+
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GFp (defined by the equation y^2 = x^3 + a*x + b)
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Creates a EC_GROUP object with a curve specified by a NID
+ * \param nid NID of the OID of the curve name
+ * \return newly created EC_GROUP object with specified curve or NULL
+ * if an error occurred
+ */
+EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
+
+
+/********************************************************************/
+/* handling of internal curves */
+/********************************************************************/
+
+typedef struct {
+ int nid;
+ const char *comment;
+ } EC_builtin_curve;
+
+/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
+ * of all available curves or zero if a error occurred.
+ * In case r ist not zero nitems EC_builtin_curve structures
+ * are filled with the data of the first nitems internal groups */
+size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
+
+
+/********************************************************************/
+/* EC_POINT functions */
+/********************************************************************/
+
+/** Creates a new EC_POINT object for the specified EC_GROUP
+ * \param group EC_GROUP the underlying EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_new(const EC_GROUP *group);
+
+/** Frees a EC_POINT object
+ * \param point EC_POINT object to be freed
+ */
+void EC_POINT_free(EC_POINT *point);
+
+/** Clears and frees a EC_POINT object
+ * \param point EC_POINT object to be cleared and freed
+ */
+void EC_POINT_clear_free(EC_POINT *point);
+
+/** Copies EC_POINT object
+ * \param dst destination EC_POINT object
+ * \param src source EC_POINT object
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
+
+/** Creates a new EC_POINT object and copies the content of the supplied
+ * EC_POINT
+ * \param src source EC_POINT object
+ * \param group underlying the EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
+
+/** Returns the EC_METHOD used in EC_POINT object
+ * \param point EC_POINT object
+ * \return the EC_METHOD used
+ */
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
+
+/** Sets a point to infinity (neutral element)
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT to set to infinity
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
+
+/** Sets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param z BIGNUM with the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
+
+/** Gets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param z BIGNUM for the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+
+/** Encodes a EC_POINT object to a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param form point conversion form
+ * \param buf memory buffer for the result. If NULL the function returns
+ * required buffer size.
+ * \param len length of the memory buffer
+ * \param ctx BN_CTX object (optional)
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
+ point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/** Decodes a EC_POINT from a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param buf memory buffer with the encoded ec point
+ * \param len length of the encoded ec point
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+ const unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/* other interfaces to point2oct/oct2point: */
+BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BIGNUM *, BN_CTX *);
+EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
+ EC_POINT *, BN_CTX *);
+char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BN_CTX *);
+EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
+ EC_POINT *, BN_CTX *);
+
+
+/********************************************************************/
+/* functions for doing EC_POINT arithmetic */
+/********************************************************************/
+
+/** Computes the sum of two EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = a + b)
+ * \param a EC_POINT object with the first summand
+ * \param b EC_POINT object with the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
+
+/** Computes the double of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = 2 * a)
+ * \param a EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
+
+/** Computes the inverse of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param a EC_POINT object to be inverted (it's used for the result as well)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
+
+/** Checks whether the point is the neutral element of the group
+ * \param group the underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \return 1 if the point is the neutral element and 0 otherwise
+ */
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
+
+/** Checks whether the point is on the curve
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT object to check
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if point if on the curve and 0 otherwise
+ */
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
+
+/** Compares two EC_POINTs
+ * \param group underlying EC_GROUP object
+ * \param a first EC_POINT object
+ * \param b second EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both points are equal and a value != 0 otherwise
+ */
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
+
+int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+
+/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param num number futher summands
+ * \param p array of size num of EC_POINT objects
+ * \param m array of size num of BIGNUM objects
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
+
+/** Computes r = generator * n + q * m
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param q EC_POINT object with the first factor of the second summand
+ * \param m BIGNUM with the second factor of the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
+
+/** Stores multiples of generator for faster point multiplication
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+
+/** Reports whether a precomputation has been done
+ * \param group EC_GROUP object
+ * \return 1 if a pre-computation has been done and 0 otherwise
+ */
+int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
+
+
+/********************************************************************/
+/* ASN1 stuff */
+/********************************************************************/
+
+/* EC_GROUP_get_basis_type() returns the NID of the basis type
+ * used to represent the field elements */
+int EC_GROUP_get_basis_type(const EC_GROUP *);
+int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
+int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
+ unsigned int *k2, unsigned int *k3);
+
+#define OPENSSL_EC_NAMED_CURVE 0x001
+
+typedef struct ecpk_parameters_st ECPKPARAMETERS;
+
+EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
+int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
+
+#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
+#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
+#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
+ (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
+#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
+ (unsigned char *)(x))
+
+#ifndef OPENSSL_NO_BIO
+int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
+#endif
+#ifndef OPENSSL_NO_FP_API
+int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
+#endif
+
+
+/********************************************************************/
+/* EC_KEY functions */
+/********************************************************************/
+
+typedef struct ec_key_st EC_KEY;
+
+/* some values for the encoding_flag */
+#define EC_PKEY_NO_PARAMETERS 0x001
+#define EC_PKEY_NO_PUBKEY 0x002
+
+/** Creates a new EC_KEY object.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_new(void);
+
+/** Creates a new EC_KEY object using a named curve as underlying
+ * EC_GROUP object.
+ * \param nid NID of the named curve.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_new_by_curve_name(int nid);
+
+/** Frees a EC_KEY object.
+ * \param key EC_KEY object to be freed.
+ */
+void EC_KEY_free(EC_KEY *key);
+
+/** Copies a EC_KEY object.
+ * \param dst destination EC_KEY object
+ * \param src src EC_KEY object
+ * \return dst or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
+
+/** Creates a new EC_KEY object and copies the content from src to it.
+ * \param src the source EC_KEY object
+ * \return newly created EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_dup(const EC_KEY *src);
+
+/** Increases the internal reference count of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_up_ref(EC_KEY *key);
+
+/** Returns the EC_GROUP object of a EC_KEY object
+ * \param key EC_KEY object
+ * \return the EC_GROUP object (possibly NULL).
+ */
+const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
+
+/** Sets the EC_GROUP of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
+ * object will use an own copy of the EC_GROUP).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
+
+/** Returns the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return a BIGNUM with the private key (possibly NULL).
+ */
+const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
+
+/** Sets the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param prv BIGNUM with the private key (note: the EC_KEY object
+ * will use an own copy of the BIGNUM).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
+
+/** Returns the public key of a EC_KEY object.
+ * \param key the EC_KEY object
+ * \return a EC_POINT object with the public key (possibly NULL)
+ */
+const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
+
+/** Sets the public key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param pub EC_POINT object with the public key (note: the EC_KEY object
+ * will use an own copy of the EC_POINT object).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
+
+unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
+void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
+point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
+void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
+/* functions to set/get method specific data */
+void *EC_KEY_get_key_method_data(EC_KEY *,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+/* wrapper functions for the underlying EC_GROUP object */
+void EC_KEY_set_asn1_flag(EC_KEY *, int);
+
+/** Creates a table of pre-computed multiples of the generator to
+ * accelerate further EC_KEY operations.
+ * \param key EC_KEY object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
+
+/** Creates a new ec private (and optional a new public) key.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_generate_key(EC_KEY *key);
+
+/** Verifies that a private and/or public key is valid.
+ * \param key the EC_KEY object
+ * \return 1 on success and 0 otherwise.
+ */
+int EC_KEY_check_key(const EC_KEY *key);
+
+
+/********************************************************************/
+/* de- and encoding functions for SEC1 ECPrivateKey */
+/********************************************************************/
+
+/** Decodes a private key from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded private key
+ * \param len length of the DER encoded private key
+ * \return the decoded private key or NULL if an error occurred.
+ */
+EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a private key object and stores the result in a buffer.
+ * \param key the EC_KEY object to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC parameters */
+/********************************************************************/
+
+/** Decodes ec parameter from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded ec parameters
+ * \param len length of the DER encoded ec parameters
+ * \return a EC_KEY object with the decoded parameters or NULL if an error
+ * occurred.
+ */
+EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes ec parameter and stores the result in a buffer.
+ * \param key the EC_KEY object with ec paramters to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECParameters(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC public key */
+/* (octet string, not DER -- hence 'o2i' and 'i2o') */
+/********************************************************************/
+
+/** Decodes a ec public key from a octet string.
+ * \param key a pointer to a EC_KEY object which should be used
+ * \param in memory buffer with the encoded public key
+ * \param len length of the encoded public key
+ * \return EC_KEY object with decoded public key or NULL if an error
+ * occurred.
+ */
+EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a ec public key in an octet string.
+ * \param key the EC_KEY object with the public key
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred
+ */
+int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
+
+#ifndef OPENSSL_NO_BIO
+/** Prints out the ec parameters on human readable form.
+ * \param bp BIO object to which the information is printed
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred
+ */
+int ECParameters_print(BIO *bp, const EC_KEY *key);
+
+/** Prints out the contents of a EC_KEY object
+ * \param bp BIO object to which the information is printed
+ * \param key EC_KEY object
+ * \param off line offset
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
+
+#endif
+#ifndef OPENSSL_NO_FP_API
+/** Prints out the ec parameters on human readable form.
+ * \param fp file descriptor to which the information is printed
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred
+ */
+int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
+
+/** Prints out the contents of a EC_KEY object
+ * \param fp file descriptor to which the information is printed
+ * \param key EC_KEY object
+ * \param off line offset
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
+
+#endif
+
+#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
+
+#ifndef __cplusplus
+#if defined(__SUNPRO_C)
+# if __SUNPRO_C >= 0x520
+# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
+# endif
+# endif
+#endif
+
+#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
+ EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
+ EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
+
+
+#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
+
+/* 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_EC_strings(void);
+
+/* Error codes for the EC functions. */
+
+/* Function codes. */
+#define EC_F_COMPUTE_WNAF 143
+#define EC_F_D2I_ECPARAMETERS 144
+#define EC_F_D2I_ECPKPARAMETERS 145
+#define EC_F_D2I_ECPRIVATEKEY 146
+#define EC_F_DO_EC_KEY_PRINT 221
+#define EC_F_ECKEY_PARAM2TYPE 223
+#define EC_F_ECKEY_PARAM_DECODE 212
+#define EC_F_ECKEY_PRIV_DECODE 213
+#define EC_F_ECKEY_PRIV_ENCODE 214
+#define EC_F_ECKEY_PUB_DECODE 215
+#define EC_F_ECKEY_PUB_ENCODE 216
+#define EC_F_ECKEY_TYPE2PARAM 220
+#define EC_F_ECPARAMETERS_PRINT 147
+#define EC_F_ECPARAMETERS_PRINT_FP 148
+#define EC_F_ECPKPARAMETERS_PRINT 149
+#define EC_F_ECPKPARAMETERS_PRINT_FP 150
+#define EC_F_ECP_NIST_MOD_192 203
+#define EC_F_ECP_NIST_MOD_224 204
+#define EC_F_ECP_NIST_MOD_256 205
+#define EC_F_ECP_NIST_MOD_521 206
+#define EC_F_EC_ASN1_GROUP2CURVE 153
+#define EC_F_EC_ASN1_GROUP2FIELDID 154
+#define EC_F_EC_ASN1_GROUP2PARAMETERS 155
+#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
+#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
+#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
+#define EC_F_EC_EX_DATA_SET_DATA 211
+#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
+#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
+#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
+#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
+#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
+#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
+#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
+#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
+#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
+#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
+#define EC_F_EC_GFP_MONT_FIELD_MUL 131
+#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
+#define EC_F_EC_GFP_MONT_FIELD_SQR 132
+#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
+#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
+#define EC_F_EC_GFP_NIST_FIELD_MUL 200
+#define EC_F_EC_GFP_NIST_FIELD_SQR 201
+#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
+#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
+#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
+#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
+#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
+#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
+#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
+#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
+#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
+#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
+#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
+#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
+#define EC_F_EC_GROUP_CHECK 170
+#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
+#define EC_F_EC_GROUP_COPY 106
+#define EC_F_EC_GROUP_GET0_GENERATOR 139
+#define EC_F_EC_GROUP_GET_COFACTOR 140
+#define EC_F_EC_GROUP_GET_CURVE_GF2M 172
+#define EC_F_EC_GROUP_GET_CURVE_GFP 130
+#define EC_F_EC_GROUP_GET_DEGREE 173
+#define EC_F_EC_GROUP_GET_ORDER 141
+#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
+#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
+#define EC_F_EC_GROUP_NEW 108
+#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
+#define EC_F_EC_GROUP_NEW_FROM_DATA 175
+#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
+#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
+#define EC_F_EC_GROUP_SET_CURVE_GFP 109
+#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
+#define EC_F_EC_GROUP_SET_GENERATOR 111
+#define EC_F_EC_KEY_CHECK_KEY 177
+#define EC_F_EC_KEY_COPY 178
+#define EC_F_EC_KEY_GENERATE_KEY 179
+#define EC_F_EC_KEY_NEW 182
+#define EC_F_EC_KEY_PRINT 180
+#define EC_F_EC_KEY_PRINT_FP 181
+#define EC_F_EC_POINTS_MAKE_AFFINE 136
+#define EC_F_EC_POINT_ADD 112
+#define EC_F_EC_POINT_CMP 113
+#define EC_F_EC_POINT_COPY 114
+#define EC_F_EC_POINT_DBL 115
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
+#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
+#define EC_F_EC_POINT_INVERT 210
+#define EC_F_EC_POINT_IS_AT_INFINITY 118
+#define EC_F_EC_POINT_IS_ON_CURVE 119
+#define EC_F_EC_POINT_MAKE_AFFINE 120
+#define EC_F_EC_POINT_MUL 184
+#define EC_F_EC_POINT_NEW 121
+#define EC_F_EC_POINT_OCT2POINT 122
+#define EC_F_EC_POINT_POINT2OCT 123
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
+#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
+#define EC_F_EC_POINT_SET_TO_INFINITY 127
+#define EC_F_EC_PRE_COMP_DUP 207
+#define EC_F_EC_PRE_COMP_NEW 196
+#define EC_F_EC_WNAF_MUL 187
+#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
+#define EC_F_I2D_ECPARAMETERS 190
+#define EC_F_I2D_ECPKPARAMETERS 191
+#define EC_F_I2D_ECPRIVATEKEY 192
+#define EC_F_I2O_ECPUBLICKEY 151
+#define EC_F_O2I_ECPUBLICKEY 152
+#define EC_F_OLD_EC_PRIV_DECODE 222
+#define EC_F_PKEY_EC_CTRL 197
+#define EC_F_PKEY_EC_CTRL_STR 198
+#define EC_F_PKEY_EC_DERIVE 217
+#define EC_F_PKEY_EC_KEYGEN 199
+#define EC_F_PKEY_EC_PARAMGEN 219
+#define EC_F_PKEY_EC_SIGN 218
+
+/* Reason codes. */
+#define EC_R_ASN1_ERROR 115
+#define EC_R_ASN1_UNKNOWN_FIELD 116
+#define EC_R_BUFFER_TOO_SMALL 100
+#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
+#define EC_R_DECODE_ERROR 142
+#define EC_R_DISCRIMINANT_IS_ZERO 118
+#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
+#define EC_R_FIELD_TOO_LARGE 143
+#define EC_R_GROUP2PKPARAMETERS_FAILURE 120
+#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
+#define EC_R_INCOMPATIBLE_OBJECTS 101
+#define EC_R_INVALID_ARGUMENT 112
+#define EC_R_INVALID_COMPRESSED_POINT 110
+#define EC_R_INVALID_COMPRESSION_BIT 109
+#define EC_R_INVALID_CURVE 141
+#define EC_R_INVALID_DIGEST_TYPE 138
+#define EC_R_INVALID_ENCODING 102
+#define EC_R_INVALID_FIELD 103
+#define EC_R_INVALID_FORM 104
+#define EC_R_INVALID_GROUP_ORDER 122
+#define EC_R_INVALID_PENTANOMIAL_BASIS 132
+#define EC_R_INVALID_PRIVATE_KEY 123
+#define EC_R_INVALID_TRINOMIAL_BASIS 137
+#define EC_R_KEYS_NOT_SET 140
+#define EC_R_MISSING_PARAMETERS 124
+#define EC_R_MISSING_PRIVATE_KEY 125
+#define EC_R_NOT_A_NIST_PRIME 135
+#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
+#define EC_R_NOT_IMPLEMENTED 126
+#define EC_R_NOT_INITIALIZED 111
+#define EC_R_NO_FIELD_MOD 133
+#define EC_R_NO_PARAMETERS_SET 139
+#define EC_R_PASSED_NULL_PARAMETER 134
+#define EC_R_PKPARAMETERS2GROUP_FAILURE 127
+#define EC_R_POINT_AT_INFINITY 106
+#define EC_R_POINT_IS_NOT_ON_CURVE 107
+#define EC_R_SLOT_FULL 108
+#define EC_R_UNDEFINED_GENERATOR 113
+#define EC_R_UNDEFINED_ORDER 128
+#define EC_R_UNKNOWN_GROUP 129
+#define EC_R_UNKNOWN_ORDER 114
+#define EC_R_UNSUPPORTED_FIELD 131
+#define EC_R_WRONG_ORDER 130
+
+#ifdef __cplusplus
+}
+#endif
+#endif
diff --git a/openssl/crypto/ec/ec2_mult.c b/openssl/crypto/ec/ec2_mult.c
new file mode 100644
index 00000000..e12b9b28
--- /dev/null
+++ b/openssl/crypto/ec/ec2_mult.c
@@ -0,0 +1,386 @@
+/* crypto/ec/ec2_mult.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.
+ *
+ * The software is originally written by Sheueling Chang Shantz and
+ * Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2003 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 <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+/* Compute the x-coordinate x/z for the point 2*(x/z) in Montgomery projective
+ * coordinates.
+ * Uses algorithm Mdouble in appendix of
+ * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation" (CHES '99, LNCS 1717).
+ * modified to not require precomputation of c=b^{2^{m-1}}.
+ */
+static int gf2m_Mdouble(const EC_GROUP *group, BIGNUM *x, BIGNUM *z, BN_CTX *ctx)
+ {
+ BIGNUM *t1;
+ int ret = 0;
+
+ /* Since Mdouble is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ if (t1 == NULL) goto err;
+
+ if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t1, z, ctx)) goto err;
+ if (!group->meth->field_mul(group, z, x, t1, ctx)) goto err;
+ if (!group->meth->field_sqr(group, x, x, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t1, t1, ctx)) goto err;
+ if (!group->meth->field_mul(group, t1, &group->b, t1, ctx)) goto err;
+ if (!BN_GF2m_add(x, x, t1)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the x-coordinate x1/z1 for the point (x1/z1)+(x2/x2) in Montgomery
+ * projective coordinates.
+ * Uses algorithm Madd in appendix of
+ * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation" (CHES '99, LNCS 1717).
+ */
+static int gf2m_Madd(const EC_GROUP *group, const BIGNUM *x, BIGNUM *x1, BIGNUM *z1,
+ const BIGNUM *x2, const BIGNUM *z2, BN_CTX *ctx)
+ {
+ BIGNUM *t1, *t2;
+ int ret = 0;
+
+ /* Since Madd is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t1 = BN_CTX_get(ctx);
+ t2 = BN_CTX_get(ctx);
+ if (t2 == NULL) goto err;
+
+ if (!BN_copy(t1, x)) goto err;
+ if (!group->meth->field_mul(group, x1, x1, z2, ctx)) goto err;
+ if (!group->meth->field_mul(group, z1, z1, x2, ctx)) goto err;
+ if (!group->meth->field_mul(group, t2, x1, z1, ctx)) goto err;
+ if (!BN_GF2m_add(z1, z1, x1)) goto err;
+ if (!group->meth->field_sqr(group, z1, z1, ctx)) goto err;
+ if (!group->meth->field_mul(group, x1, z1, t1, ctx)) goto err;
+ if (!BN_GF2m_add(x1, x1, t2)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Compute the x, y affine coordinates from the point (x1, z1) (x2, z2)
+ * using Montgomery point multiplication algorithm Mxy() in appendix of
+ * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation" (CHES '99, LNCS 1717).
+ * Returns:
+ * 0 on error
+ * 1 if return value should be the point at infinity
+ * 2 otherwise
+ */
+static int gf2m_Mxy(const EC_GROUP *group, const BIGNUM *x, const BIGNUM *y, BIGNUM *x1,
+ BIGNUM *z1, BIGNUM *x2, BIGNUM *z2, BN_CTX *ctx)
+ {
+ BIGNUM *t3, *t4, *t5;
+ int ret = 0;
+
+ if (BN_is_zero(z1))
+ {
+ BN_zero(x2);
+ BN_zero(z2);
+ return 1;
+ }
+
+ if (BN_is_zero(z2))
+ {
+ if (!BN_copy(x2, x)) return 0;
+ if (!BN_GF2m_add(z2, x, y)) return 0;
+ return 2;
+ }
+
+ /* Since Mxy is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ t3 = BN_CTX_get(ctx);
+ t4 = BN_CTX_get(ctx);
+ t5 = BN_CTX_get(ctx);
+ if (t5 == NULL) goto err;
+
+ if (!BN_one(t5)) goto err;
+
+ if (!group->meth->field_mul(group, t3, z1, z2, ctx)) goto err;
+
+ if (!group->meth->field_mul(group, z1, z1, x, ctx)) goto err;
+ if (!BN_GF2m_add(z1, z1, x1)) goto err;
+ if (!group->meth->field_mul(group, z2, z2, x, ctx)) goto err;
+ if (!group->meth->field_mul(group, x1, z2, x1, ctx)) goto err;
+ if (!BN_GF2m_add(z2, z2, x2)) goto err;
+
+ if (!group->meth->field_mul(group, z2, z2, z1, ctx)) goto err;
+ if (!group->meth->field_sqr(group, t4, x, ctx)) goto err;
+ if (!BN_GF2m_add(t4, t4, y)) goto err;
+ if (!group->meth->field_mul(group, t4, t4, t3, ctx)) goto err;
+ if (!BN_GF2m_add(t4, t4, z2)) goto err;
+
+ if (!group->meth->field_mul(group, t3, t3, x, ctx)) goto err;
+ if (!group->meth->field_div(group, t3, t5, t3, ctx)) goto err;
+ if (!group->meth->field_mul(group, t4, t3, t4, ctx)) goto err;
+ if (!group->meth->field_mul(group, x2, x1, t3, ctx)) goto err;
+ if (!BN_GF2m_add(z2, x2, x)) goto err;
+
+ if (!group->meth->field_mul(group, z2, z2, t4, ctx)) goto err;
+ if (!BN_GF2m_add(z2, z2, y)) goto err;
+
+ ret = 2;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+/* Computes scalar*point and stores the result in r.
+ * point can not equal r.
+ * Uses algorithm 2P of
+ * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over
+ * GF(2^m) without precomputation" (CHES '99, LNCS 1717).
+ */
+static int ec_GF2m_montgomery_point_multiply(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ const EC_POINT *point, BN_CTX *ctx)
+ {
+ BIGNUM *x1, *x2, *z1, *z2;
+ int ret = 0, i;
+ BN_ULONG mask,word;
+
+ if (r == point)
+ {
+ ECerr(EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY, EC_R_INVALID_ARGUMENT);
+ return 0;
+ }
+
+ /* if result should be point at infinity */
+ if ((scalar == NULL) || BN_is_zero(scalar) || (point == NULL) ||
+ EC_POINT_is_at_infinity(group, point))
+ {
+ return EC_POINT_set_to_infinity(group, r);
+ }
+
+ /* only support affine coordinates */
+ if (!point->Z_is_one) return 0;
+
+ /* Since point_multiply is static we can guarantee that ctx != NULL. */
+ BN_CTX_start(ctx);
+ x1 = BN_CTX_get(ctx);
+ z1 = BN_CTX_get(ctx);
+ if (z1 == NULL) goto err;
+
+ x2 = &r->X;
+ z2 = &r->Y;
+
+ if (!BN_GF2m_mod_arr(x1, &point->X, group->poly)) goto err; /* x1 = x */
+ if (!BN_one(z1)) goto err; /* z1 = 1 */
+ if (!group->meth->field_sqr(group, z2, x1, ctx)) goto err; /* z2 = x1^2 = x^2 */
+ if (!group->meth->field_sqr(group, x2, z2, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->b)) goto err; /* x2 = x^4 + b */
+
+ /* find top most bit and go one past it */
+ i = scalar->top - 1;
+ mask = BN_TBIT;
+ word = scalar->d[i];
+ while (!(word & mask)) mask >>= 1;
+ mask >>= 1;
+ /* if top most bit was at word break, go to next word */
+ if (!mask)
+ {
+ i--;
+ mask = BN_TBIT;
+ }
+
+ for (; i >= 0; i--)
+ {
+ word = scalar->d[i];
+ while (mask)
+ {
+ if (word & mask)
+ {
+ if (!gf2m_Madd(group, &point->X, x1, z1, x2, z2, ctx)) goto err;
+ if (!gf2m_Mdouble(group, x2, z2, ctx)) goto err;
+ }
+ else
+ {
+ if (!gf2m_Madd(group, &point->X, x2, z2, x1, z1, ctx)) goto err;
+ if (!gf2m_Mdouble(group, x1, z1, ctx)) goto err;
+ }
+ mask >>= 1;
+ }
+ mask = BN_TBIT;
+ }
+
+ /* convert out of "projective" coordinates */
+ i = gf2m_Mxy(group, &point->X, &point->Y, x1, z1, x2, z2, ctx);
+ if (i == 0) goto err;
+ else if (i == 1)
+ {
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+ }
+ else
+ {
+ if (!BN_one(&r->Z)) goto err;
+ r->Z_is_one = 1;
+ }
+
+ /* GF(2^m) field elements should always have BIGNUM::neg = 0 */
+ BN_set_negative(&r->X, 0);
+ BN_set_negative(&r->Y, 0);
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ return ret;
+ }
+
+
+/* Computes the sum
+ * scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1]
+ * gracefully ignoring NULL scalar values.
+ */
+int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ int ret = 0;
+ size_t i;
+ EC_POINT *p=NULL;
+ EC_POINT *acc = NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ /* This implementation is more efficient than the wNAF implementation for 2
+ * or fewer points. Use the ec_wNAF_mul implementation for 3 or more points,
+ * or if we can perform a fast multiplication based on precomputation.
+ */
+ if ((scalar && (num > 1)) || (num > 2) || (num == 0 && EC_GROUP_have_precompute_mult(group)))
+ {
+ ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
+ goto err;
+ }
+
+ if ((p = EC_POINT_new(group)) == NULL) goto err;
+ if ((acc = EC_POINT_new(group)) == NULL) goto err;
+
+ if (!EC_POINT_set_to_infinity(group, acc)) goto err;
+
+ if (scalar)
+ {
+ if (!ec_GF2m_montgomery_point_multiply(group, p, scalar, group->generator, ctx)) goto err;
+ if (BN_is_negative(scalar))
+ if (!group->meth->invert(group, p, ctx)) goto err;
+ if (!group->meth->add(group, acc, acc, p, ctx)) goto err;
+ }
+
+ for (i = 0; i < num; i++)
+ {
+ if (!ec_GF2m_montgomery_point_multiply(group, p, scalars[i], points[i], ctx)) goto err;
+ if (BN_is_negative(scalars[i]))
+ if (!group->meth->invert(group, p, ctx)) goto err;
+ if (!group->meth->add(group, acc, acc, p, ctx)) goto err;
+ }
+
+ if (!EC_POINT_copy(r, acc)) goto err;
+
+ ret = 1;
+
+ err:
+ if (p) EC_POINT_free(p);
+ if (acc) EC_POINT_free(acc);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Precomputation for point multiplication: fall back to wNAF methods
+ * because ec_GF2m_simple_mul() uses ec_wNAF_mul() if appropriate */
+
+int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+ {
+ return ec_wNAF_precompute_mult(group, ctx);
+ }
+
+int ec_GF2m_have_precompute_mult(const EC_GROUP *group)
+ {
+ return ec_wNAF_have_precompute_mult(group);
+ }
diff --git a/openssl/crypto/ec/ec2_smpl.c b/openssl/crypto/ec/ec2_smpl.c
new file mode 100644
index 00000000..af94458c
--- /dev/null
+++ b/openssl/crypto/ec/ec2_smpl.c
@@ -0,0 +1,1042 @@
+/* crypto/ec/ec2_smpl.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.
+ *
+ * The software is originally written by Sheueling Chang Shantz and
+ * Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+/* ====================================================================
+ * 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 <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+const EC_METHOD *EC_GF2m_simple_method(void)
+ {
+ static const EC_METHOD ret = {
+ NID_X9_62_characteristic_two_field,
+ ec_GF2m_simple_group_init,
+ ec_GF2m_simple_group_finish,
+ ec_GF2m_simple_group_clear_finish,
+ ec_GF2m_simple_group_copy,
+ ec_GF2m_simple_group_set_curve,
+ ec_GF2m_simple_group_get_curve,
+ ec_GF2m_simple_group_get_degree,
+ ec_GF2m_simple_group_check_discriminant,
+ ec_GF2m_simple_point_init,
+ ec_GF2m_simple_point_finish,
+ ec_GF2m_simple_point_clear_finish,
+ ec_GF2m_simple_point_copy,
+ ec_GF2m_simple_point_set_to_infinity,
+ 0 /* set_Jprojective_coordinates_GFp */,
+ 0 /* get_Jprojective_coordinates_GFp */,
+ ec_GF2m_simple_point_set_affine_coordinates,
+ ec_GF2m_simple_point_get_affine_coordinates,
+ ec_GF2m_simple_set_compressed_coordinates,
+ ec_GF2m_simple_point2oct,
+ ec_GF2m_simple_oct2point,
+ ec_GF2m_simple_add,
+ ec_GF2m_simple_dbl,
+ ec_GF2m_simple_invert,
+ ec_GF2m_simple_is_at_infinity,
+ ec_GF2m_simple_is_on_curve,
+ ec_GF2m_simple_cmp,
+ ec_GF2m_simple_make_affine,
+ ec_GF2m_simple_points_make_affine,
+
+ /* the following three method functions are defined in ec2_mult.c */
+ ec_GF2m_simple_mul,
+ ec_GF2m_precompute_mult,
+ ec_GF2m_have_precompute_mult,
+
+ ec_GF2m_simple_field_mul,
+ ec_GF2m_simple_field_sqr,
+ ec_GF2m_simple_field_div,
+ 0 /* field_encode */,
+ 0 /* field_decode */,
+ 0 /* field_set_to_one */ };
+
+ return &ret;
+ }
+
+
+/* Initialize a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_new.
+ */
+int ec_GF2m_simple_group_init(EC_GROUP *group)
+ {
+ BN_init(&group->field);
+ BN_init(&group->a);
+ BN_init(&group->b);
+ return 1;
+ }
+
+
+/* Free a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_free.
+ */
+void ec_GF2m_simple_group_finish(EC_GROUP *group)
+ {
+ BN_free(&group->field);
+ BN_free(&group->a);
+ BN_free(&group->b);
+ }
+
+
+/* Clear and free a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_clear_free.
+ */
+void ec_GF2m_simple_group_clear_finish(EC_GROUP *group)
+ {
+ BN_clear_free(&group->field);
+ BN_clear_free(&group->a);
+ BN_clear_free(&group->b);
+ group->poly[0] = 0;
+ group->poly[1] = 0;
+ group->poly[2] = 0;
+ group->poly[3] = 0;
+ group->poly[4] = 0;
+ group->poly[5] = -1;
+ }
+
+
+/* Copy a GF(2^m)-based EC_GROUP structure.
+ * Note that all other members are handled by EC_GROUP_copy.
+ */
+int ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ int i;
+ if (!BN_copy(&dest->field, &src->field)) return 0;
+ if (!BN_copy(&dest->a, &src->a)) return 0;
+ if (!BN_copy(&dest->b, &src->b)) return 0;
+ dest->poly[0] = src->poly[0];
+ dest->poly[1] = src->poly[1];
+ dest->poly[2] = src->poly[2];
+ dest->poly[3] = src->poly[3];
+ dest->poly[4] = src->poly[4];
+ dest->poly[5] = src->poly[5];
+ if (bn_wexpand(&dest->a, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL) return 0;
+ if (bn_wexpand(&dest->b, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL) return 0;
+ for (i = dest->a.top; i < dest->a.dmax; i++) dest->a.d[i] = 0;
+ for (i = dest->b.top; i < dest->b.dmax; i++) dest->b.d[i] = 0;
+ return 1;
+ }
+
+
+/* Set the curve parameters of an EC_GROUP structure. */
+int ec_GF2m_simple_group_set_curve(EC_GROUP *group,
+ const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0, i;
+
+ /* group->field */
+ if (!BN_copy(&group->field, p)) goto err;
+ i = BN_GF2m_poly2arr(&group->field, group->poly, 6) - 1;
+ if ((i != 5) && (i != 3))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE, EC_R_UNSUPPORTED_FIELD);
+ goto err;
+ }
+
+ /* group->a */
+ if (!BN_GF2m_mod_arr(&group->a, a, group->poly)) goto err;
+ if(bn_wexpand(&group->a, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL) goto err;
+ for (i = group->a.top; i < group->a.dmax; i++) group->a.d[i] = 0;
+
+ /* group->b */
+ if (!BN_GF2m_mod_arr(&group->b, b, group->poly)) goto err;
+ if(bn_wexpand(&group->b, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2) == NULL) goto err;
+ for (i = group->b.top; i < group->b.dmax; i++) group->b.d[i] = 0;
+
+ ret = 1;
+ err:
+ return ret;
+ }
+
+
+/* Get the curve parameters of an EC_GROUP structure.
+ * If p, a, or b are NULL then there values will not be set but the method will return with success.
+ */
+int ec_GF2m_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0;
+
+ if (p != NULL)
+ {
+ if (!BN_copy(p, &group->field)) return 0;
+ }
+
+ if (a != NULL)
+ {
+ if (!BN_copy(a, &group->a)) goto err;
+ }
+
+ if (b != NULL)
+ {
+ if (!BN_copy(b, &group->b)) goto err;
+ }
+
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Gets the degree of the field. For a curve over GF(2^m) this is the value m. */
+int ec_GF2m_simple_group_get_degree(const EC_GROUP *group)
+ {
+ return BN_num_bits(&group->field)-1;
+ }
+
+
+/* Checks the discriminant of the curve.
+ * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p)
+ */
+int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *b;
+ BN_CTX *new_ctx = NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ BN_CTX_start(ctx);
+ b = BN_CTX_get(ctx);
+ if (b == NULL) goto err;
+
+ if (!BN_GF2m_mod_arr(b, &group->b, group->poly)) goto err;
+
+ /* check the discriminant:
+ * y^2 + x*y = x^3 + a*x^2 + b is an elliptic curve <=> b != 0 (mod p)
+ */
+ if (BN_is_zero(b)) goto err;
+
+ ret = 1;
+
+err:
+ if (ctx != NULL)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Initializes an EC_POINT. */
+int ec_GF2m_simple_point_init(EC_POINT *point)
+ {
+ BN_init(&point->X);
+ BN_init(&point->Y);
+ BN_init(&point->Z);
+ return 1;
+ }
+
+
+/* Frees an EC_POINT. */
+void ec_GF2m_simple_point_finish(EC_POINT *point)
+ {
+ BN_free(&point->X);
+ BN_free(&point->Y);
+ BN_free(&point->Z);
+ }
+
+
+/* Clears and frees an EC_POINT. */
+void ec_GF2m_simple_point_clear_finish(EC_POINT *point)
+ {
+ BN_clear_free(&point->X);
+ BN_clear_free(&point->Y);
+ BN_clear_free(&point->Z);
+ point->Z_is_one = 0;
+ }
+
+
+/* Copy the contents of one EC_POINT into another. Assumes dest is initialized. */
+int ec_GF2m_simple_point_copy(EC_POINT *dest, const EC_POINT *src)
+ {
+ if (!BN_copy(&dest->X, &src->X)) return 0;
+ if (!BN_copy(&dest->Y, &src->Y)) return 0;
+ if (!BN_copy(&dest->Z, &src->Z)) return 0;
+ dest->Z_is_one = src->Z_is_one;
+
+ return 1;
+ }
+
+
+/* Set an EC_POINT to the point at infinity.
+ * A point at infinity is represented by having Z=0.
+ */
+int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
+ {
+ point->Z_is_one = 0;
+ BN_zero(&point->Z);
+ return 1;
+ }
+
+
+/* Set the coordinates of an EC_POINT using affine coordinates.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
+ {
+ int ret = 0;
+ if (x == NULL || y == NULL)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if (!BN_copy(&point->X, x)) goto err;
+ BN_set_negative(&point->X, 0);
+ if (!BN_copy(&point->Y, y)) goto err;
+ BN_set_negative(&point->Y, 0);
+ if (!BN_copy(&point->Z, BN_value_one())) goto err;
+ BN_set_negative(&point->Z, 0);
+ point->Z_is_one = 1;
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Gets the affine coordinates of an EC_POINT.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
+ {
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, point))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
+ return 0;
+ }
+
+ if (BN_cmp(&point->Z, BN_value_one()))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (x != NULL)
+ {
+ if (!BN_copy(x, &point->X)) goto err;
+ BN_set_negative(x, 0);
+ }
+ if (y != NULL)
+ {
+ if (!BN_copy(y, &point->Y)) goto err;
+ BN_set_negative(y, 0);
+ }
+ ret = 1;
+
+ err:
+ return ret;
+ }
+
+
+/* Calculates and sets the affine coordinates of an EC_POINT from the given
+ * compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
+ * Note that the simple implementation only uses affine coordinates.
+ *
+ * The method is from the following publication:
+ *
+ * Harper, Menezes, Vanstone:
+ * "Public-Key Cryptosystems with Very Small Key Lengths",
+ * EUROCRYPT '92, Springer-Verlag LNCS 658,
+ * published February 1993
+ *
+ * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
+ * the same method, but claim no priority date earlier than July 29, 1994
+ * (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
+ */
+int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x_, int y_bit, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp, *x, *y, *z;
+ int ret = 0, z0;
+
+ /* clear error queue */
+ ERR_clear_error();
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ y_bit = (y_bit != 0) ? 1 : 0;
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ z = BN_CTX_get(ctx);
+ if (z == NULL) goto err;
+
+ if (!BN_GF2m_mod_arr(x, x_, group->poly)) goto err;
+ if (BN_is_zero(x))
+ {
+ if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) goto err;
+ }
+ else
+ {
+ if (!group->meth->field_sqr(group, tmp, x, ctx)) goto err;
+ if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) goto err;
+ if (!BN_GF2m_add(tmp, &group->a, tmp)) goto err;
+ if (!BN_GF2m_add(tmp, x, tmp)) goto err;
+ if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx))
+ {
+ unsigned long err = ERR_peek_last_error();
+
+ if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NO_SOLUTION)
+ {
+ ERR_clear_error();
+ ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
+ }
+ else
+ ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
+ goto err;
+ }
+ z0 = (BN_is_odd(z)) ? 1 : 0;
+ if (!group->meth->field_mul(group, y, x, z, ctx)) goto err;
+ if (z0 != y_bit)
+ {
+ if (!BN_GF2m_add(y, y, x)) goto err;
+ }
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Converts an EC_POINT to an octet string.
+ * If buf is NULL, the encoded length will be returned.
+ * If the length len of buf is smaller than required an error will be returned.
+ */
+size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ size_t ret;
+ BN_CTX *new_ctx = NULL;
+ int used_ctx = 0;
+ BIGNUM *x, *y, *yxi;
+ size_t field_len, i, skip;
+
+ if ((form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
+ goto err;
+ }
+
+ if (EC_POINT_is_at_infinity(group, point))
+ {
+ /* encodes to a single 0 octet */
+ if (buf != NULL)
+ {
+ if (len < 1)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+ buf[0] = 0;
+ }
+ return 1;
+ }
+
+
+ /* ret := required output buffer length */
+ field_len = (EC_GROUP_get_degree(group) + 7) / 8;
+ ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
+
+ /* if 'buf' is NULL, just return required length */
+ if (buf != NULL)
+ {
+ if (len < ret)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
+ goto err;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ used_ctx = 1;
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ yxi = BN_CTX_get(ctx);
+ if (yxi == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+
+ buf[0] = form;
+ if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x))
+ {
+ if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
+ if (BN_is_odd(yxi)) buf[0]++;
+ }
+
+ i = 1;
+
+ skip = field_len - BN_num_bytes(x);
+ if (skip > field_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ while (skip > 0)
+ {
+ buf[i++] = 0;
+ skip--;
+ }
+ skip = BN_bn2bin(x, buf + i);
+ i += skip;
+ if (i != 1 + field_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
+ {
+ skip = field_len - BN_num_bytes(y);
+ if (skip > field_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ while (skip > 0)
+ {
+ buf[i++] = 0;
+ skip--;
+ }
+ skip = BN_bn2bin(y, buf + i);
+ i += skip;
+ }
+
+ if (i != ret)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+
+ err:
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return 0;
+ }
+
+
+/* Converts an octet string representation to an EC_POINT.
+ * Note that the simple implementation only uses affine coordinates.
+ */
+int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
+ const unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ point_conversion_form_t form;
+ int y_bit;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y, *yxi;
+ size_t field_len, enc_len;
+ int ret = 0;
+
+ if (len == 0)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+ form = buf[0];
+ y_bit = form & 1;
+ form = form & ~1U;
+ if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+ if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ if (form == 0)
+ {
+ if (len != 1)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ return EC_POINT_set_to_infinity(group, point);
+ }
+
+ field_len = (EC_GROUP_get_degree(group) + 7) / 8;
+ enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
+
+ if (len != enc_len)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ yxi = BN_CTX_get(ctx);
+ if (yxi == NULL) goto err;
+
+ if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
+ if (BN_ucmp(x, &group->field) >= 0)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+
+ if (form == POINT_CONVERSION_COMPRESSED)
+ {
+ if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
+ if (BN_ucmp(y, &group->field) >= 0)
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ if (form == POINT_CONVERSION_HYBRID)
+ {
+ if (!group->meth->field_div(group, yxi, y, x, ctx)) goto err;
+ if (y_bit != BN_is_odd(yxi))
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+ }
+
+ if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
+ {
+ ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
+ goto err;
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Computes a + b and stores the result in r. r could be a or b, a could be b.
+ * Uses algorithm A.10.2 of IEEE P1363.
+ */
+int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ if (!EC_POINT_copy(r, b)) return 0;
+ return 1;
+ }
+
+ if (EC_POINT_is_at_infinity(group, b))
+ {
+ if (!EC_POINT_copy(r, a)) return 0;
+ return 1;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x0 = BN_CTX_get(ctx);
+ y0 = BN_CTX_get(ctx);
+ x1 = BN_CTX_get(ctx);
+ y1 = BN_CTX_get(ctx);
+ x2 = BN_CTX_get(ctx);
+ y2 = BN_CTX_get(ctx);
+ s = BN_CTX_get(ctx);
+ t = BN_CTX_get(ctx);
+ if (t == NULL) goto err;
+
+ if (a->Z_is_one)
+ {
+ if (!BN_copy(x0, &a->X)) goto err;
+ if (!BN_copy(y0, &a->Y)) goto err;
+ }
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) goto err;
+ }
+ if (b->Z_is_one)
+ {
+ if (!BN_copy(x1, &b->X)) goto err;
+ if (!BN_copy(y1, &b->Y)) goto err;
+ }
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) goto err;
+ }
+
+
+ if (BN_GF2m_cmp(x0, x1))
+ {
+ if (!BN_GF2m_add(t, x0, x1)) goto err;
+ if (!BN_GF2m_add(s, y0, y1)) goto err;
+ if (!group->meth->field_div(group, s, s, t, ctx)) goto err;
+ if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
+ if (!BN_GF2m_add(x2, x2, s)) goto err;
+ if (!BN_GF2m_add(x2, x2, t)) goto err;
+ }
+ else
+ {
+ if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1))
+ {
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+ ret = 1;
+ goto err;
+ }
+ if (!group->meth->field_div(group, s, y1, x1, ctx)) goto err;
+ if (!BN_GF2m_add(s, s, x1)) goto err;
+
+ if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
+ if (!BN_GF2m_add(x2, x2, s)) goto err;
+ if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
+ }
+
+ if (!BN_GF2m_add(y2, x1, x2)) goto err;
+ if (!group->meth->field_mul(group, y2, y2, s, ctx)) goto err;
+ if (!BN_GF2m_add(y2, y2, x2)) goto err;
+ if (!BN_GF2m_add(y2, y2, y1)) goto err;
+
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Computes 2 * a and stores the result in r. r could be a.
+ * Uses algorithm A.10.2 of IEEE P1363.
+ */
+int ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
+ {
+ return ec_GF2m_simple_add(group, r, a, a, ctx);
+ }
+
+
+int ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y))
+ /* point is its own inverse */
+ return 1;
+
+ if (!EC_POINT_make_affine(group, point, ctx)) return 0;
+ return BN_GF2m_add(&point->Y, &point->X, &point->Y);
+ }
+
+
+/* Indicates whether the given point is the point at infinity. */
+int ec_GF2m_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
+ {
+ return BN_is_zero(&point->Z);
+ }
+
+
+/* Determines whether the given EC_POINT is an actual point on the curve defined
+ * in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation:
+ * y^2 + x*y = x^3 + a*x^2 + b.
+ */
+int ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
+ {
+ int ret = -1;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *lh, *y2;
+ int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
+
+ if (EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ field_mul = group->meth->field_mul;
+ field_sqr = group->meth->field_sqr;
+
+ /* only support affine coordinates */
+ if (!point->Z_is_one) goto err;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ y2 = BN_CTX_get(ctx);
+ lh = BN_CTX_get(ctx);
+ if (lh == NULL) goto err;
+
+ /* We have a curve defined by a Weierstrass equation
+ * y^2 + x*y = x^3 + a*x^2 + b.
+ * <=> x^3 + a*x^2 + x*y + b + y^2 = 0
+ * <=> ((x + a) * x + y ) * x + b + y^2 = 0
+ */
+ if (!BN_GF2m_add(lh, &point->X, &group->a)) goto err;
+ if (!field_mul(group, lh, lh, &point->X, ctx)) goto err;
+ if (!BN_GF2m_add(lh, lh, &point->Y)) goto err;
+ if (!field_mul(group, lh, lh, &point->X, ctx)) goto err;
+ if (!BN_GF2m_add(lh, lh, &group->b)) goto err;
+ if (!field_sqr(group, y2, &point->Y, ctx)) goto err;
+ if (!BN_GF2m_add(lh, lh, y2)) goto err;
+ ret = BN_is_zero(lh);
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Indicates whether two points are equal.
+ * Return values:
+ * -1 error
+ * 0 equal (in affine coordinates)
+ * 1 not equal
+ */
+int ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ BIGNUM *aX, *aY, *bX, *bY;
+ BN_CTX *new_ctx = NULL;
+ int ret = -1;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
+ }
+
+ if (EC_POINT_is_at_infinity(group, b))
+ return 1;
+
+ if (a->Z_is_one && b->Z_is_one)
+ {
+ return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ aX = BN_CTX_get(ctx);
+ aY = BN_CTX_get(ctx);
+ bX = BN_CTX_get(ctx);
+ bY = BN_CTX_get(ctx);
+ if (bY == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx)) goto err;
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx)) goto err;
+ ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1;
+
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Forces the given EC_POINT to internally use affine coordinates. */
+int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y;
+ int ret = 0;
+
+ if (point->Z_is_one || EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) goto err;
+ if (!BN_copy(&point->X, x)) goto err;
+ if (!BN_copy(&point->Y, y)) goto err;
+ if (!BN_one(&point->Z)) goto err;
+
+ ret = 1;
+
+ err:
+ if (ctx) BN_CTX_end(ctx);
+ if (new_ctx) BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+/* Forces each of the EC_POINTs in the given array to use affine coordinates. */
+int ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
+ {
+ size_t i;
+
+ for (i = 0; i < num; i++)
+ {
+ if (!group->meth->make_affine(group, points[i], ctx)) return 0;
+ }
+
+ return 1;
+ }
+
+
+/* Wrapper to simple binary polynomial field multiplication implementation. */
+int ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx);
+ }
+
+
+/* Wrapper to simple binary polynomial field squaring implementation. */
+int ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx);
+ }
+
+
+/* Wrapper to simple binary polynomial field division implementation. */
+int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ return BN_GF2m_mod_div(r, a, b, &group->field, ctx);
+ }
diff --git a/openssl/crypto/ec/ec_ameth.c b/openssl/crypto/ec/ec_ameth.c
new file mode 100644
index 00000000..c00f7d74
--- /dev/null
+++ b/openssl/crypto/ec/ec_ameth.c
@@ -0,0 +1,659 @@
+/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL
+ * project 2006.
+ */
+/* ====================================================================
+ * Copyright (c) 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
+ * licensing@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 <openssl/x509.h>
+#include <openssl/ec.h>
+#include <openssl/bn.h>
+#ifndef OPENSSL_NO_CMS
+#include <openssl/cms.h>
+#endif
+#include "asn1_locl.h"
+
+static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key)
+ {
+ const EC_GROUP *group;
+ int nid;
+ if (ec_key == NULL || (group = EC_KEY_get0_group(ec_key)) == NULL)
+ {
+ ECerr(EC_F_ECKEY_PARAM2TYPE, EC_R_MISSING_PARAMETERS);
+ return 0;
+ }
+ if (EC_GROUP_get_asn1_flag(group)
+ && (nid = EC_GROUP_get_curve_name(group)))
+ /* we have a 'named curve' => just set the OID */
+ {
+ *ppval = OBJ_nid2obj(nid);
+ *pptype = V_ASN1_OBJECT;
+ }
+ else /* explicit parameters */
+ {
+ ASN1_STRING *pstr = NULL;
+ pstr = ASN1_STRING_new();
+ if (!pstr)
+ return 0;
+ pstr->length = i2d_ECParameters(ec_key, &pstr->data);
+ if (pstr->length < 0)
+ {
+ ASN1_STRING_free(pstr);
+ ECerr(EC_F_ECKEY_PARAM2TYPE, ERR_R_EC_LIB);
+ return 0;
+ }
+ *ppval = pstr;
+ *pptype = V_ASN1_SEQUENCE;
+ }
+ return 1;
+ }
+
+static int eckey_pub_encode(X509_PUBKEY *pk, const EVP_PKEY *pkey)
+ {
+ EC_KEY *ec_key = pkey->pkey.ec;
+ void *pval = NULL;
+ int ptype;
+ unsigned char *penc = NULL, *p;
+ int penclen;
+
+ if (!eckey_param2type(&ptype, &pval, ec_key))
+ {
+ ECerr(EC_F_ECKEY_PUB_ENCODE, ERR_R_EC_LIB);
+ return 0;
+ }
+ penclen = i2o_ECPublicKey(ec_key, NULL);
+ if (penclen <= 0)
+ goto err;
+ penc = OPENSSL_malloc(penclen);
+ if (!penc)
+ goto err;
+ p = penc;
+ penclen = i2o_ECPublicKey(ec_key, &p);
+ if (penclen <= 0)
+ goto err;
+ if (X509_PUBKEY_set0_param(pk, OBJ_nid2obj(EVP_PKEY_EC),
+ ptype, pval, penc, penclen))
+ return 1;
+ err:
+ if (ptype == V_ASN1_OBJECT)
+ ASN1_OBJECT_free(pval);
+ else
+ ASN1_STRING_free(pval);
+ if (penc)
+ OPENSSL_free(penc);
+ return 0;
+ }
+
+static EC_KEY *eckey_type2param(int ptype, void *pval)
+ {
+ EC_KEY *eckey = NULL;
+ if (ptype == V_ASN1_SEQUENCE)
+ {
+ ASN1_STRING *pstr = pval;
+ const unsigned char *pm = NULL;
+ int pmlen;
+ pm = pstr->data;
+ pmlen = pstr->length;
+ if (!(eckey = d2i_ECParameters(NULL, &pm, pmlen)))
+ {
+ ECerr(EC_F_ECKEY_TYPE2PARAM, EC_R_DECODE_ERROR);
+ goto ecerr;
+ }
+ }
+ else if (ptype == V_ASN1_OBJECT)
+ {
+ ASN1_OBJECT *poid = pval;
+ EC_GROUP *group;
+
+ /* type == V_ASN1_OBJECT => the parameters are given
+ * by an asn1 OID
+ */
+ if ((eckey = EC_KEY_new()) == NULL)
+ {
+ ECerr(EC_F_ECKEY_TYPE2PARAM, ERR_R_MALLOC_FAILURE);
+ goto ecerr;
+ }
+ group = EC_GROUP_new_by_curve_name(OBJ_obj2nid(poid));
+ if (group == NULL)
+ goto ecerr;
+ EC_GROUP_set_asn1_flag(group, OPENSSL_EC_NAMED_CURVE);
+ if (EC_KEY_set_group(eckey, group) == 0)
+ goto ecerr;
+ EC_GROUP_free(group);
+ }
+ else
+ {
+ ECerr(EC_F_ECKEY_TYPE2PARAM, EC_R_DECODE_ERROR);
+ goto ecerr;
+ }
+
+ return eckey;
+
+ ecerr:
+ if (eckey)
+ EC_KEY_free(eckey);
+ return NULL;
+ }
+
+static int eckey_pub_decode(EVP_PKEY *pkey, X509_PUBKEY *pubkey)
+ {
+ const unsigned char *p = NULL;
+ void *pval;
+ int ptype, pklen;
+ EC_KEY *eckey = NULL;
+ X509_ALGOR *palg;
+
+ if (!X509_PUBKEY_get0_param(NULL, &p, &pklen, &palg, pubkey))
+ return 0;
+ X509_ALGOR_get0(NULL, &ptype, &pval, palg);
+
+ eckey = eckey_type2param(ptype, pval);
+
+ if (!eckey)
+ {
+ ECerr(EC_F_ECKEY_PUB_DECODE, ERR_R_EC_LIB);
+ return 0;
+ }
+
+ /* We have parameters now set public key */
+ if (!o2i_ECPublicKey(&eckey, &p, pklen))
+ {
+ ECerr(EC_F_ECKEY_PUB_DECODE, EC_R_DECODE_ERROR);
+ goto ecerr;
+ }
+
+ EVP_PKEY_assign_EC_KEY(pkey, eckey);
+ return 1;
+
+ ecerr:
+ if (eckey)
+ EC_KEY_free(eckey);
+ return 0;
+ }
+
+static int eckey_pub_cmp(const EVP_PKEY *a, const EVP_PKEY *b)
+ {
+ int r;
+ const EC_GROUP *group = EC_KEY_get0_group(b->pkey.ec);
+ const EC_POINT *pa = EC_KEY_get0_public_key(a->pkey.ec),
+ *pb = EC_KEY_get0_public_key(b->pkey.ec);
+ r = EC_POINT_cmp(group, pa, pb, NULL);
+ if (r == 0)
+ return 1;
+ if (r == 1)
+ return 0;
+ return -2;
+ }
+
+static int eckey_priv_decode(EVP_PKEY *pkey, PKCS8_PRIV_KEY_INFO *p8)
+ {
+ const unsigned char *p = NULL;
+ void *pval;
+ int ptype, pklen;
+ EC_KEY *eckey = NULL;
+ X509_ALGOR *palg;
+
+ if (!PKCS8_pkey_get0(NULL, &p, &pklen, &palg, p8))
+ return 0;
+ X509_ALGOR_get0(NULL, &ptype, &pval, palg);
+
+ eckey = eckey_type2param(ptype, pval);
+
+ if (!eckey)
+ goto ecliberr;
+
+ /* We have parameters now set private key */
+ if (!d2i_ECPrivateKey(&eckey, &p, pklen))
+ {
+ ECerr(EC_F_ECKEY_PRIV_DECODE, EC_R_DECODE_ERROR);
+ goto ecerr;
+ }
+
+ /* calculate public key (if necessary) */
+ if (EC_KEY_get0_public_key(eckey) == NULL)
+ {
+ const BIGNUM *priv_key;
+ const EC_GROUP *group;
+ EC_POINT *pub_key;
+ /* the public key was not included in the SEC1 private
+ * key => calculate the public key */
+ group = EC_KEY_get0_group(eckey);
+ pub_key = EC_POINT_new(group);
+ if (pub_key == NULL)
+ {
+ ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
+ goto ecliberr;
+ }
+ if (!EC_POINT_copy(pub_key, EC_GROUP_get0_generator(group)))
+ {
+ EC_POINT_free(pub_key);
+ ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
+ goto ecliberr;
+ }
+ priv_key = EC_KEY_get0_private_key(eckey);
+ if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, NULL))
+ {
+ EC_POINT_free(pub_key);
+ ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
+ goto ecliberr;
+ }
+ if (EC_KEY_set_public_key(eckey, pub_key) == 0)
+ {
+ EC_POINT_free(pub_key);
+ ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
+ goto ecliberr;
+ }
+ EC_POINT_free(pub_key);
+ }
+
+ EVP_PKEY_assign_EC_KEY(pkey, eckey);
+ return 1;
+
+ ecliberr:
+ ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
+ ecerr:
+ if (eckey)
+ EC_KEY_free(eckey);
+ return 0;
+ }
+
+static int eckey_priv_encode(PKCS8_PRIV_KEY_INFO *p8, const EVP_PKEY *pkey)
+{
+ EC_KEY *ec_key;
+ unsigned char *ep, *p;
+ int eplen, ptype;
+ void *pval;
+ unsigned int tmp_flags, old_flags;
+
+ ec_key = pkey->pkey.ec;
+
+ if (!eckey_param2type(&ptype, &pval, ec_key))
+ {
+ ECerr(EC_F_ECKEY_PRIV_ENCODE, EC_R_DECODE_ERROR);
+ return 0;
+ }
+
+ /* set the private key */
+
+ /* do not include the parameters in the SEC1 private key
+ * see PKCS#11 12.11 */
+ old_flags = EC_KEY_get_enc_flags(ec_key);
+ tmp_flags = old_flags | EC_PKEY_NO_PARAMETERS;
+ EC_KEY_set_enc_flags(ec_key, tmp_flags);
+ eplen = i2d_ECPrivateKey(ec_key, NULL);
+ if (!eplen)
+ {
+ EC_KEY_set_enc_flags(ec_key, old_flags);
+ ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_EC_LIB);
+ return 0;
+ }
+ ep = (unsigned char *) OPENSSL_malloc(eplen);
+ if (!ep)
+ {
+ EC_KEY_set_enc_flags(ec_key, old_flags);
+ ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_MALLOC_FAILURE);
+ return 0;
+ }
+ p = ep;
+ if (!i2d_ECPrivateKey(ec_key, &p))
+ {
+ EC_KEY_set_enc_flags(ec_key, old_flags);
+ OPENSSL_free(ep);
+ ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_EC_LIB);
+ }
+ /* restore old encoding flags */
+ EC_KEY_set_enc_flags(ec_key, old_flags);
+
+ if (!PKCS8_pkey_set0(p8, OBJ_nid2obj(NID_X9_62_id_ecPublicKey), 0,
+ ptype, pval, ep, eplen))
+ return 0;
+
+ return 1;
+}
+
+static int int_ec_size(const EVP_PKEY *pkey)
+ {
+ return ECDSA_size(pkey->pkey.ec);
+ }
+
+static int ec_bits(const EVP_PKEY *pkey)
+ {
+ BIGNUM *order = BN_new();
+ const EC_GROUP *group;
+ int ret;
+
+ if (!order)
+ {
+ ERR_clear_error();
+ return 0;
+ }
+ group = EC_KEY_get0_group(pkey->pkey.ec);
+ if (!EC_GROUP_get_order(group, order, NULL))
+ {
+ ERR_clear_error();
+ return 0;
+ }
+
+ ret = BN_num_bits(order);
+ BN_free(order);
+ return ret;
+ }
+
+static int ec_missing_parameters(const EVP_PKEY *pkey)
+ {
+ if (EC_KEY_get0_group(pkey->pkey.ec) == NULL)
+ return 1;
+ return 0;
+ }
+
+static int ec_copy_parameters(EVP_PKEY *to, const EVP_PKEY *from)
+ {
+ EC_GROUP *group = EC_GROUP_dup(EC_KEY_get0_group(from->pkey.ec));
+ if (group == NULL)
+ return 0;
+ if (EC_KEY_set_group(to->pkey.ec, group) == 0)
+ return 0;
+ EC_GROUP_free(group);
+ return 1;
+ }
+
+static int ec_cmp_parameters(const EVP_PKEY *a, const EVP_PKEY *b)
+ {
+ const EC_GROUP *group_a = EC_KEY_get0_group(a->pkey.ec),
+ *group_b = EC_KEY_get0_group(b->pkey.ec);
+ if (EC_GROUP_cmp(group_a, group_b, NULL))
+ return 0;
+ else
+ return 1;
+ }
+
+static void int_ec_free(EVP_PKEY *pkey)
+ {
+ EC_KEY_free(pkey->pkey.ec);
+ }
+
+static int do_EC_KEY_print(BIO *bp, const EC_KEY *x, int off, int ktype)
+ {
+ unsigned char *buffer=NULL;
+ const char *ecstr;
+ size_t buf_len=0, i;
+ int ret=0, reason=ERR_R_BIO_LIB;
+ BIGNUM *pub_key=NULL, *order=NULL;
+ BN_CTX *ctx=NULL;
+ const EC_GROUP *group;
+ const EC_POINT *public_key;
+ const BIGNUM *priv_key;
+
+ if (x == NULL || (group = EC_KEY_get0_group(x)) == NULL)
+ {
+ reason = ERR_R_PASSED_NULL_PARAMETER;
+ goto err;
+ }
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ reason = ERR_R_MALLOC_FAILURE;
+ goto err;
+ }
+
+ if (ktype > 0)
+ {
+ public_key = EC_KEY_get0_public_key(x);
+ if ((pub_key = EC_POINT_point2bn(group, public_key,
+ EC_KEY_get_conv_form(x), NULL, ctx)) == NULL)
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+ if (pub_key)
+ buf_len = (size_t)BN_num_bytes(pub_key);
+ }
+
+ if (ktype == 2)
+ {
+ priv_key = EC_KEY_get0_private_key(x);
+ if (priv_key && (i = (size_t)BN_num_bytes(priv_key)) > buf_len)
+ buf_len = i;
+ }
+ else
+ priv_key = NULL;
+
+ if (ktype > 0)
+ {
+ buf_len += 10;
+ if ((buffer = OPENSSL_malloc(buf_len)) == NULL)
+ {
+ reason = ERR_R_MALLOC_FAILURE;
+ goto err;
+ }
+ }
+ if (ktype == 2)
+ ecstr = "Private-Key";
+ else if (ktype == 1)
+ ecstr = "Public-Key";
+ else
+ ecstr = "ECDSA-Parameters";
+
+ if (!BIO_indent(bp, off, 128))
+ goto err;
+ if ((order = BN_new()) == NULL)
+ goto err;
+ if (!EC_GROUP_get_order(group, order, NULL))
+ goto err;
+ if (BIO_printf(bp, "%s: (%d bit)\n", ecstr,
+ BN_num_bits(order)) <= 0) goto err;
+
+ if ((priv_key != NULL) && !ASN1_bn_print(bp, "priv:", priv_key,
+ buffer, off))
+ goto err;
+ if ((pub_key != NULL) && !ASN1_bn_print(bp, "pub: ", pub_key,
+ buffer, off))
+ goto err;
+ if (!ECPKParameters_print(bp, group, off))
+ goto err;
+ ret=1;
+err:
+ if (!ret)
+ ECerr(EC_F_DO_EC_KEY_PRINT, reason);
+ if (pub_key)
+ BN_free(pub_key);
+ if (order)
+ BN_free(order);
+ if (ctx)
+ BN_CTX_free(ctx);
+ if (buffer != NULL)
+ OPENSSL_free(buffer);
+ return(ret);
+ }
+
+static int eckey_param_decode(EVP_PKEY *pkey,
+ const unsigned char **pder, int derlen)
+ {
+ EC_KEY *eckey;
+ if (!(eckey = d2i_ECParameters(NULL, pder, derlen)))
+ {
+ ECerr(EC_F_ECKEY_PARAM_DECODE, ERR_R_EC_LIB);
+ return 0;
+ }
+ EVP_PKEY_assign_EC_KEY(pkey, eckey);
+ return 1;
+ }
+
+static int eckey_param_encode(const EVP_PKEY *pkey, unsigned char **pder)
+ {
+ return i2d_ECParameters(pkey->pkey.ec, pder);
+ }
+
+static int eckey_param_print(BIO *bp, const EVP_PKEY *pkey, int indent,
+ ASN1_PCTX *ctx)
+ {
+ return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 0);
+ }
+
+static int eckey_pub_print(BIO *bp, const EVP_PKEY *pkey, int indent,
+ ASN1_PCTX *ctx)
+ {
+ return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 1);
+ }
+
+
+static int eckey_priv_print(BIO *bp, const EVP_PKEY *pkey, int indent,
+ ASN1_PCTX *ctx)
+ {
+ return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 2);
+ }
+
+static int old_ec_priv_decode(EVP_PKEY *pkey,
+ const unsigned char **pder, int derlen)
+ {
+ EC_KEY *ec;
+ if (!(ec = d2i_ECPrivateKey (NULL, pder, derlen)))
+ {
+ ECerr(EC_F_OLD_EC_PRIV_DECODE, EC_R_DECODE_ERROR);
+ return 0;
+ }
+ EVP_PKEY_assign_EC_KEY(pkey, ec);
+ return 1;
+ }
+
+static int old_ec_priv_encode(const EVP_PKEY *pkey, unsigned char **pder)
+ {
+ return i2d_ECPrivateKey(pkey->pkey.ec, pder);
+ }
+
+static int ec_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2)
+ {
+ switch (op)
+ {
+ case ASN1_PKEY_CTRL_PKCS7_SIGN:
+ if (arg1 == 0)
+ {
+ int snid, hnid;
+ X509_ALGOR *alg1, *alg2;
+ PKCS7_SIGNER_INFO_get0_algs(arg2, NULL, &alg1, &alg2);
+ if (alg1 == NULL || alg1->algorithm == NULL)
+ return -1;
+ hnid = OBJ_obj2nid(alg1->algorithm);
+ if (hnid == NID_undef)
+ return -1;
+ if (!OBJ_find_sigid_by_algs(&snid, hnid, EVP_PKEY_id(pkey)))
+ return -1;
+ X509_ALGOR_set0(alg2, OBJ_nid2obj(snid), V_ASN1_UNDEF, 0);
+ }
+ return 1;
+#ifndef OPENSSL_NO_CMS
+ case ASN1_PKEY_CTRL_CMS_SIGN:
+ if (arg1 == 0)
+ {
+ int snid, hnid;
+ X509_ALGOR *alg1, *alg2;
+ CMS_SignerInfo_get0_algs(arg2, NULL, NULL,
+ &alg1, &alg2);
+ if (alg1 == NULL || alg1->algorithm == NULL)
+ return -1;
+ hnid = OBJ_obj2nid(alg1->algorithm);
+ if (hnid == NID_undef)
+ return -1;
+ if (!OBJ_find_sigid_by_algs(&snid, hnid, EVP_PKEY_id(pkey)))
+ return -1;
+ X509_ALGOR_set0(alg2, OBJ_nid2obj(snid), V_ASN1_UNDEF, 0);
+ }
+ return 1;
+#endif
+
+ case ASN1_PKEY_CTRL_DEFAULT_MD_NID:
+ *(int *)arg2 = NID_sha1;
+ return 2;
+
+ default:
+ return -2;
+
+ }
+
+ }
+
+const EVP_PKEY_ASN1_METHOD eckey_asn1_meth =
+ {
+ EVP_PKEY_EC,
+ EVP_PKEY_EC,
+ 0,
+ "EC",
+ "OpenSSL EC algorithm",
+
+ eckey_pub_decode,
+ eckey_pub_encode,
+ eckey_pub_cmp,
+ eckey_pub_print,
+
+ eckey_priv_decode,
+ eckey_priv_encode,
+ eckey_priv_print,
+
+ int_ec_size,
+ ec_bits,
+
+ eckey_param_decode,
+ eckey_param_encode,
+ ec_missing_parameters,
+ ec_copy_parameters,
+ ec_cmp_parameters,
+ eckey_param_print,
+
+ int_ec_free,
+ ec_pkey_ctrl,
+ old_ec_priv_decode,
+ old_ec_priv_encode
+ };
diff --git a/openssl/crypto/ec/ec_asn1.c b/openssl/crypto/ec/ec_asn1.c
new file mode 100644
index 00000000..ae555398
--- /dev/null
+++ b/openssl/crypto/ec/ec_asn1.c
@@ -0,0 +1,1429 @@
+/* crypto/ec/ec_asn1.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 2000-2003 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
+ * licensing@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 <string.h>
+#include "ec_lcl.h"
+#include <openssl/err.h>
+#include <openssl/asn1t.h>
+#include <openssl/objects.h>
+
+
+int EC_GROUP_get_basis_type(const EC_GROUP *group)
+ {
+ int i=0;
+
+ if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) !=
+ NID_X9_62_characteristic_two_field)
+ /* everything else is currently not supported */
+ return 0;
+
+ while (group->poly[i] != 0)
+ i++;
+
+ if (i == 4)
+ return NID_X9_62_ppBasis;
+ else if (i == 2)
+ return NID_X9_62_tpBasis;
+ else
+ /* everything else is currently not supported */
+ return 0;
+ }
+
+int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k)
+ {
+ if (group == NULL)
+ return 0;
+
+ if (EC_GROUP_method_of(group)->group_set_curve != ec_GF2m_simple_group_set_curve
+ || !((group->poly[0] != 0) && (group->poly[1] != 0) && (group->poly[2] == 0)))
+ {
+ ECerr(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+
+ if (k)
+ *k = group->poly[1];
+
+ return 1;
+ }
+
+int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1,
+ unsigned int *k2, unsigned int *k3)
+ {
+ if (group == NULL)
+ return 0;
+
+ if (EC_GROUP_method_of(group)->group_set_curve != ec_GF2m_simple_group_set_curve
+ || !((group->poly[0] != 0) && (group->poly[1] != 0) && (group->poly[2] != 0) && (group->poly[3] != 0) && (group->poly[4] == 0)))
+ {
+ ECerr(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+
+ if (k1)
+ *k1 = group->poly[3];
+ if (k2)
+ *k2 = group->poly[2];
+ if (k3)
+ *k3 = group->poly[1];
+
+ return 1;
+ }
+
+
+
+/* some structures needed for the asn1 encoding */
+typedef struct x9_62_pentanomial_st {
+ long k1;
+ long k2;
+ long k3;
+ } X9_62_PENTANOMIAL;
+
+typedef struct x9_62_characteristic_two_st {
+ long m;
+ ASN1_OBJECT *type;
+ union {
+ char *ptr;
+ /* NID_X9_62_onBasis */
+ ASN1_NULL *onBasis;
+ /* NID_X9_62_tpBasis */
+ ASN1_INTEGER *tpBasis;
+ /* NID_X9_62_ppBasis */
+ X9_62_PENTANOMIAL *ppBasis;
+ /* anything else */
+ ASN1_TYPE *other;
+ } p;
+ } X9_62_CHARACTERISTIC_TWO;
+
+typedef struct x9_62_fieldid_st {
+ ASN1_OBJECT *fieldType;
+ union {
+ char *ptr;
+ /* NID_X9_62_prime_field */
+ ASN1_INTEGER *prime;
+ /* NID_X9_62_characteristic_two_field */
+ X9_62_CHARACTERISTIC_TWO *char_two;
+ /* anything else */
+ ASN1_TYPE *other;
+ } p;
+ } X9_62_FIELDID;
+
+typedef struct x9_62_curve_st {
+ ASN1_OCTET_STRING *a;
+ ASN1_OCTET_STRING *b;
+ ASN1_BIT_STRING *seed;
+ } X9_62_CURVE;
+
+typedef struct ec_parameters_st {
+ long version;
+ X9_62_FIELDID *fieldID;
+ X9_62_CURVE *curve;
+ ASN1_OCTET_STRING *base;
+ ASN1_INTEGER *order;
+ ASN1_INTEGER *cofactor;
+ } ECPARAMETERS;
+
+struct ecpk_parameters_st {
+ int type;
+ union {
+ ASN1_OBJECT *named_curve;
+ ECPARAMETERS *parameters;
+ ASN1_NULL *implicitlyCA;
+ } value;
+ }/* ECPKPARAMETERS */;
+
+/* SEC1 ECPrivateKey */
+typedef struct ec_privatekey_st {
+ long version;
+ ASN1_OCTET_STRING *privateKey;
+ ECPKPARAMETERS *parameters;
+ ASN1_BIT_STRING *publicKey;
+ } EC_PRIVATEKEY;
+
+/* the OpenSSL ASN.1 definitions */
+ASN1_SEQUENCE(X9_62_PENTANOMIAL) = {
+ ASN1_SIMPLE(X9_62_PENTANOMIAL, k1, LONG),
+ ASN1_SIMPLE(X9_62_PENTANOMIAL, k2, LONG),
+ ASN1_SIMPLE(X9_62_PENTANOMIAL, k3, LONG)
+} ASN1_SEQUENCE_END(X9_62_PENTANOMIAL)
+
+DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
+IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
+
+ASN1_ADB_TEMPLATE(char_two_def) = ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.other, ASN1_ANY);
+
+ASN1_ADB(X9_62_CHARACTERISTIC_TWO) = {
+ ADB_ENTRY(NID_X9_62_onBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.onBasis, ASN1_NULL)),
+ ADB_ENTRY(NID_X9_62_tpBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.tpBasis, ASN1_INTEGER)),
+ ADB_ENTRY(NID_X9_62_ppBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.ppBasis, X9_62_PENTANOMIAL))
+} ASN1_ADB_END(X9_62_CHARACTERISTIC_TWO, 0, type, 0, &char_two_def_tt, NULL);
+
+ASN1_SEQUENCE(X9_62_CHARACTERISTIC_TWO) = {
+ ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, m, LONG),
+ ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, type, ASN1_OBJECT),
+ ASN1_ADB_OBJECT(X9_62_CHARACTERISTIC_TWO)
+} ASN1_SEQUENCE_END(X9_62_CHARACTERISTIC_TWO)
+
+DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
+IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
+
+ASN1_ADB_TEMPLATE(fieldID_def) = ASN1_SIMPLE(X9_62_FIELDID, p.other, ASN1_ANY);
+
+ASN1_ADB(X9_62_FIELDID) = {
+ ADB_ENTRY(NID_X9_62_prime_field, ASN1_SIMPLE(X9_62_FIELDID, p.prime, ASN1_INTEGER)),
+ ADB_ENTRY(NID_X9_62_characteristic_two_field, ASN1_SIMPLE(X9_62_FIELDID, p.char_two, X9_62_CHARACTERISTIC_TWO))
+} ASN1_ADB_END(X9_62_FIELDID, 0, fieldType, 0, &fieldID_def_tt, NULL);
+
+ASN1_SEQUENCE(X9_62_FIELDID) = {
+ ASN1_SIMPLE(X9_62_FIELDID, fieldType, ASN1_OBJECT),
+ ASN1_ADB_OBJECT(X9_62_FIELDID)
+} ASN1_SEQUENCE_END(X9_62_FIELDID)
+
+ASN1_SEQUENCE(X9_62_CURVE) = {
+ ASN1_SIMPLE(X9_62_CURVE, a, ASN1_OCTET_STRING),
+ ASN1_SIMPLE(X9_62_CURVE, b, ASN1_OCTET_STRING),
+ ASN1_OPT(X9_62_CURVE, seed, ASN1_BIT_STRING)
+} ASN1_SEQUENCE_END(X9_62_CURVE)
+
+ASN1_SEQUENCE(ECPARAMETERS) = {
+ ASN1_SIMPLE(ECPARAMETERS, version, LONG),
+ ASN1_SIMPLE(ECPARAMETERS, fieldID, X9_62_FIELDID),
+ ASN1_SIMPLE(ECPARAMETERS, curve, X9_62_CURVE),
+ ASN1_SIMPLE(ECPARAMETERS, base, ASN1_OCTET_STRING),
+ ASN1_SIMPLE(ECPARAMETERS, order, ASN1_INTEGER),
+ ASN1_OPT(ECPARAMETERS, cofactor, ASN1_INTEGER)
+} ASN1_SEQUENCE_END(ECPARAMETERS)
+
+DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
+IMPLEMENT_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
+
+ASN1_CHOICE(ECPKPARAMETERS) = {
+ ASN1_SIMPLE(ECPKPARAMETERS, value.named_curve, ASN1_OBJECT),
+ ASN1_SIMPLE(ECPKPARAMETERS, value.parameters, ECPARAMETERS),
+ ASN1_SIMPLE(ECPKPARAMETERS, value.implicitlyCA, ASN1_NULL)
+} ASN1_CHOICE_END(ECPKPARAMETERS)
+
+DECLARE_ASN1_FUNCTIONS_const(ECPKPARAMETERS)
+DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS)
+IMPLEMENT_ASN1_FUNCTIONS_const(ECPKPARAMETERS)
+
+ASN1_SEQUENCE(EC_PRIVATEKEY) = {
+ ASN1_SIMPLE(EC_PRIVATEKEY, version, LONG),
+ ASN1_SIMPLE(EC_PRIVATEKEY, privateKey, ASN1_OCTET_STRING),
+ ASN1_EXP_OPT(EC_PRIVATEKEY, parameters, ECPKPARAMETERS, 0),
+ ASN1_EXP_OPT(EC_PRIVATEKEY, publicKey, ASN1_BIT_STRING, 1)
+} ASN1_SEQUENCE_END(EC_PRIVATEKEY)
+
+DECLARE_ASN1_FUNCTIONS_const(EC_PRIVATEKEY)
+DECLARE_ASN1_ENCODE_FUNCTIONS_const(EC_PRIVATEKEY, EC_PRIVATEKEY)
+IMPLEMENT_ASN1_FUNCTIONS_const(EC_PRIVATEKEY)
+
+/* some declarations of internal function */
+
+/* ec_asn1_group2field() sets the values in a X9_62_FIELDID object */
+static int ec_asn1_group2fieldid(const EC_GROUP *, X9_62_FIELDID *);
+/* ec_asn1_group2curve() sets the values in a X9_62_CURVE object */
+static int ec_asn1_group2curve(const EC_GROUP *, X9_62_CURVE *);
+/* ec_asn1_parameters2group() creates a EC_GROUP object from a
+ * ECPARAMETERS object */
+static EC_GROUP *ec_asn1_parameters2group(const ECPARAMETERS *);
+/* ec_asn1_group2parameters() creates a ECPARAMETERS object from a
+ * EC_GROUP object */
+static ECPARAMETERS *ec_asn1_group2parameters(const EC_GROUP *,ECPARAMETERS *);
+/* ec_asn1_pkparameters2group() creates a EC_GROUP object from a
+ * ECPKPARAMETERS object */
+static EC_GROUP *ec_asn1_pkparameters2group(const ECPKPARAMETERS *);
+/* ec_asn1_group2pkparameters() creates a ECPKPARAMETERS object from a
+ * EC_GROUP object */
+static ECPKPARAMETERS *ec_asn1_group2pkparameters(const EC_GROUP *,
+ ECPKPARAMETERS *);
+
+
+/* the function definitions */
+
+static int ec_asn1_group2fieldid(const EC_GROUP *group, X9_62_FIELDID *field)
+ {
+ int ok=0, nid;
+ BIGNUM *tmp = NULL;
+
+ if (group == NULL || field == NULL)
+ return 0;
+
+ /* clear the old values (if necessary) */
+ if (field->fieldType != NULL)
+ ASN1_OBJECT_free(field->fieldType);
+ if (field->p.other != NULL)
+ ASN1_TYPE_free(field->p.other);
+
+ nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group));
+ /* set OID for the field */
+ if ((field->fieldType = OBJ_nid2obj(nid)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB);
+ goto err;
+ }
+
+ if (nid == NID_X9_62_prime_field)
+ {
+ if ((tmp = BN_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ /* the parameters are specified by the prime number p */
+ if (!EC_GROUP_get_curve_GFp(group, tmp, NULL, NULL, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB);
+ goto err;
+ }
+ /* set the prime number */
+ field->p.prime = BN_to_ASN1_INTEGER(tmp,NULL);
+ if (field->p.prime == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ }
+ else /* nid == NID_X9_62_characteristic_two_field */
+ {
+ int field_type;
+ X9_62_CHARACTERISTIC_TWO *char_two;
+
+ field->p.char_two = X9_62_CHARACTERISTIC_TWO_new();
+ char_two = field->p.char_two;
+
+ if (char_two == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ char_two->m = (long)EC_GROUP_get_degree(group);
+
+ field_type = EC_GROUP_get_basis_type(group);
+
+ if (field_type == 0)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB);
+ goto err;
+ }
+ /* set base type OID */
+ if ((char_two->type = OBJ_nid2obj(field_type)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB);
+ goto err;
+ }
+
+ if (field_type == NID_X9_62_tpBasis)
+ {
+ unsigned int k;
+
+ if (!EC_GROUP_get_trinomial_basis(group, &k))
+ goto err;
+
+ char_two->p.tpBasis = ASN1_INTEGER_new();
+ if (!char_two->p.tpBasis)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if (!ASN1_INTEGER_set(char_two->p.tpBasis, (long)k))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID,
+ ERR_R_ASN1_LIB);
+ goto err;
+ }
+ }
+ else if (field_type == NID_X9_62_ppBasis)
+ {
+ unsigned int k1, k2, k3;
+
+ if (!EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3))
+ goto err;
+
+ char_two->p.ppBasis = X9_62_PENTANOMIAL_new();
+ if (!char_two->p.ppBasis)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ /* set k? values */
+ char_two->p.ppBasis->k1 = (long)k1;
+ char_two->p.ppBasis->k2 = (long)k2;
+ char_two->p.ppBasis->k3 = (long)k3;
+ }
+ else /* field_type == NID_X9_62_onBasis */
+ {
+ /* for ONB the parameters are (asn1) NULL */
+ char_two->p.onBasis = ASN1_NULL_new();
+ if (!char_two->p.onBasis)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ }
+
+ ok = 1;
+
+err : if (tmp)
+ BN_free(tmp);
+ return(ok);
+}
+
+static int ec_asn1_group2curve(const EC_GROUP *group, X9_62_CURVE *curve)
+ {
+ int ok=0, nid;
+ BIGNUM *tmp_1=NULL, *tmp_2=NULL;
+ unsigned char *buffer_1=NULL, *buffer_2=NULL,
+ *a_buf=NULL, *b_buf=NULL;
+ size_t len_1, len_2;
+ unsigned char char_zero = 0;
+
+ if (!group || !curve || !curve->a || !curve->b)
+ return 0;
+
+ if ((tmp_1 = BN_new()) == NULL || (tmp_2 = BN_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group));
+
+ /* get a and b */
+ if (nid == NID_X9_62_prime_field)
+ {
+ if (!EC_GROUP_get_curve_GFp(group, NULL, tmp_1, tmp_2, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+ else /* nid == NID_X9_62_characteristic_two_field */
+ {
+ if (!EC_GROUP_get_curve_GF2m(group, NULL, tmp_1, tmp_2, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+
+ len_1 = (size_t)BN_num_bytes(tmp_1);
+ len_2 = (size_t)BN_num_bytes(tmp_2);
+
+ if (len_1 == 0)
+ {
+ /* len_1 == 0 => a == 0 */
+ a_buf = &char_zero;
+ len_1 = 1;
+ }
+ else
+ {
+ if ((buffer_1 = OPENSSL_malloc(len_1)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if ( (len_1 = BN_bn2bin(tmp_1, buffer_1)) == 0)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_BN_LIB);
+ goto err;
+ }
+ a_buf = buffer_1;
+ }
+
+ if (len_2 == 0)
+ {
+ /* len_2 == 0 => b == 0 */
+ b_buf = &char_zero;
+ len_2 = 1;
+ }
+ else
+ {
+ if ((buffer_2 = OPENSSL_malloc(len_2)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if ( (len_2 = BN_bn2bin(tmp_2, buffer_2)) == 0)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_BN_LIB);
+ goto err;
+ }
+ b_buf = buffer_2;
+ }
+
+ /* set a and b */
+ if (!M_ASN1_OCTET_STRING_set(curve->a, a_buf, len_1) ||
+ !M_ASN1_OCTET_STRING_set(curve->b, b_buf, len_2))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB);
+ goto err;
+ }
+
+ /* set the seed (optional) */
+ if (group->seed)
+ {
+ if (!curve->seed)
+ if ((curve->seed = ASN1_BIT_STRING_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ curve->seed->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT|0x07);
+ curve->seed->flags |= ASN1_STRING_FLAG_BITS_LEFT;
+ if (!ASN1_BIT_STRING_set(curve->seed, group->seed,
+ (int)group->seed_len))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ }
+ else
+ {
+ if (curve->seed)
+ {
+ ASN1_BIT_STRING_free(curve->seed);
+ curve->seed = NULL;
+ }
+ }
+
+ ok = 1;
+
+err: if (buffer_1)
+ OPENSSL_free(buffer_1);
+ if (buffer_2)
+ OPENSSL_free(buffer_2);
+ if (tmp_1)
+ BN_free(tmp_1);
+ if (tmp_2)
+ BN_free(tmp_2);
+ return(ok);
+ }
+
+static ECPARAMETERS *ec_asn1_group2parameters(const EC_GROUP *group,
+ ECPARAMETERS *param)
+ {
+ int ok=0;
+ size_t len=0;
+ ECPARAMETERS *ret=NULL;
+ BIGNUM *tmp=NULL;
+ unsigned char *buffer=NULL;
+ const EC_POINT *point=NULL;
+ point_conversion_form_t form;
+
+ if ((tmp = BN_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ if (param == NULL)
+ {
+ if ((ret = ECPARAMETERS_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ else
+ ret = param;
+
+ /* set the version (always one) */
+ ret->version = (long)0x1;
+
+ /* set the fieldID */
+ if (!ec_asn1_group2fieldid(group, ret->fieldID))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ /* set the curve */
+ if (!ec_asn1_group2curve(group, ret->curve))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ /* set the base point */
+ if ((point = EC_GROUP_get0_generator(group)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, EC_R_UNDEFINED_GENERATOR);
+ goto err;
+ }
+
+ form = EC_GROUP_get_point_conversion_form(group);
+
+ len = EC_POINT_point2oct(group, point, form, NULL, len, NULL);
+ if (len == 0)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB);
+ goto err;
+ }
+ if ((buffer = OPENSSL_malloc(len)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if (!EC_POINT_point2oct(group, point, form, buffer, len, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (ret->base == NULL && (ret->base = ASN1_OCTET_STRING_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if (!ASN1_OCTET_STRING_set(ret->base, buffer, len))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB);
+ goto err;
+ }
+
+ /* set the order */
+ if (!EC_GROUP_get_order(group, tmp, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB);
+ goto err;
+ }
+ ret->order = BN_to_ASN1_INTEGER(tmp, ret->order);
+ if (ret->order == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB);
+ goto err;
+ }
+
+ /* set the cofactor (optional) */
+ if (EC_GROUP_get_cofactor(group, tmp, NULL))
+ {
+ ret->cofactor = BN_to_ASN1_INTEGER(tmp, ret->cofactor);
+ if (ret->cofactor == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ }
+
+ ok = 1;
+
+err : if(!ok)
+ {
+ if (ret && !param)
+ ECPARAMETERS_free(ret);
+ ret = NULL;
+ }
+ if (tmp)
+ BN_free(tmp);
+ if (buffer)
+ OPENSSL_free(buffer);
+ return(ret);
+ }
+
+ECPKPARAMETERS *ec_asn1_group2pkparameters(const EC_GROUP *group,
+ ECPKPARAMETERS *params)
+ {
+ int ok = 1, tmp;
+ ECPKPARAMETERS *ret = params;
+
+ if (ret == NULL)
+ {
+ if ((ret = ECPKPARAMETERS_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_GROUP2PKPARAMETERS,
+ ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ }
+ else
+ {
+ if (ret->type == 0 && ret->value.named_curve)
+ ASN1_OBJECT_free(ret->value.named_curve);
+ else if (ret->type == 1 && ret->value.parameters)
+ ECPARAMETERS_free(ret->value.parameters);
+ }
+
+ if (EC_GROUP_get_asn1_flag(group))
+ {
+ /* use the asn1 OID to describe the
+ * the elliptic curve parameters
+ */
+ tmp = EC_GROUP_get_curve_name(group);
+ if (tmp)
+ {
+ ret->type = 0;
+ if ((ret->value.named_curve = OBJ_nid2obj(tmp)) == NULL)
+ ok = 0;
+ }
+ else
+ /* we don't kmow the nid => ERROR */
+ ok = 0;
+ }
+ else
+ {
+ /* use the ECPARAMETERS structure */
+ ret->type = 1;
+ if ((ret->value.parameters = ec_asn1_group2parameters(
+ group, NULL)) == NULL)
+ ok = 0;
+ }
+
+ if (!ok)
+ {
+ ECPKPARAMETERS_free(ret);
+ return NULL;
+ }
+ return ret;
+ }
+
+static EC_GROUP *ec_asn1_parameters2group(const ECPARAMETERS *params)
+ {
+ int ok = 0, tmp;
+ EC_GROUP *ret = NULL;
+ BIGNUM *p = NULL, *a = NULL, *b = NULL;
+ EC_POINT *point=NULL;
+ long field_bits;
+
+ if (!params->fieldID || !params->fieldID->fieldType ||
+ !params->fieldID->p.ptr)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+
+ /* now extract the curve parameters a and b */
+ if (!params->curve || !params->curve->a ||
+ !params->curve->a->data || !params->curve->b ||
+ !params->curve->b->data)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+ a = BN_bin2bn(params->curve->a->data, params->curve->a->length, NULL);
+ if (a == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_BN_LIB);
+ goto err;
+ }
+ b = BN_bin2bn(params->curve->b->data, params->curve->b->length, NULL);
+ if (b == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ /* get the field parameters */
+ tmp = OBJ_obj2nid(params->fieldID->fieldType);
+
+ if (tmp == NID_X9_62_characteristic_two_field)
+ {
+ X9_62_CHARACTERISTIC_TWO *char_two;
+
+ char_two = params->fieldID->p.char_two;
+
+ field_bits = char_two->m;
+ if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_FIELD_TOO_LARGE);
+ goto err;
+ }
+
+ if ((p = BN_new()) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ /* get the base type */
+ tmp = OBJ_obj2nid(char_two->type);
+
+ if (tmp == NID_X9_62_tpBasis)
+ {
+ long tmp_long;
+
+ if (!char_two->p.tpBasis)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+
+ tmp_long = ASN1_INTEGER_get(char_two->p.tpBasis);
+
+ if (!(char_two->m > tmp_long && tmp_long > 0))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_TRINOMIAL_BASIS);
+ goto err;
+ }
+
+ /* create the polynomial */
+ if (!BN_set_bit(p, (int)char_two->m))
+ goto err;
+ if (!BN_set_bit(p, (int)tmp_long))
+ goto err;
+ if (!BN_set_bit(p, 0))
+ goto err;
+ }
+ else if (tmp == NID_X9_62_ppBasis)
+ {
+ X9_62_PENTANOMIAL *penta;
+
+ penta = char_two->p.ppBasis;
+ if (!penta)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+
+ if (!(char_two->m > penta->k3 && penta->k3 > penta->k2 && penta->k2 > penta->k1 && penta->k1 > 0))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_PENTANOMIAL_BASIS);
+ goto err;
+ }
+
+ /* create the polynomial */
+ if (!BN_set_bit(p, (int)char_two->m)) goto err;
+ if (!BN_set_bit(p, (int)penta->k1)) goto err;
+ if (!BN_set_bit(p, (int)penta->k2)) goto err;
+ if (!BN_set_bit(p, (int)penta->k3)) goto err;
+ if (!BN_set_bit(p, 0)) goto err;
+ }
+ else if (tmp == NID_X9_62_onBasis)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_NOT_IMPLEMENTED);
+ goto err;
+ }
+ else /* error */
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+
+ /* create the EC_GROUP structure */
+ ret = EC_GROUP_new_curve_GF2m(p, a, b, NULL);
+ }
+ else if (tmp == NID_X9_62_prime_field)
+ {
+ /* we have a curve over a prime field */
+ /* extract the prime number */
+ if (!params->fieldID->p.prime)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+ p = ASN1_INTEGER_to_BN(params->fieldID->p.prime, NULL);
+ if (p == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB);
+ goto err;
+ }
+
+ if (BN_is_negative(p) || BN_is_zero(p))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_FIELD);
+ goto err;
+ }
+
+ field_bits = BN_num_bits(p);
+ if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_FIELD_TOO_LARGE);
+ goto err;
+ }
+
+ /* create the EC_GROUP structure */
+ ret = EC_GROUP_new_curve_GFp(p, a, b, NULL);
+ }
+ else
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_FIELD);
+ goto err;
+ }
+
+ if (ret == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ /* extract seed (optional) */
+ if (params->curve->seed != NULL)
+ {
+ if (ret->seed != NULL)
+ OPENSSL_free(ret->seed);
+ if (!(ret->seed = OPENSSL_malloc(params->curve->seed->length)))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ memcpy(ret->seed, params->curve->seed->data,
+ params->curve->seed->length);
+ ret->seed_len = params->curve->seed->length;
+ }
+
+ if (!params->order || !params->base || !params->base->data)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ goto err;
+ }
+
+ if ((point = EC_POINT_new(ret)) == NULL) goto err;
+
+ /* set the point conversion form */
+ EC_GROUP_set_point_conversion_form(ret, (point_conversion_form_t)
+ (params->base->data[0] & ~0x01));
+
+ /* extract the ec point */
+ if (!EC_POINT_oct2point(ret, point, params->base->data,
+ params->base->length, NULL))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ /* extract the order */
+ if ((a = ASN1_INTEGER_to_BN(params->order, a)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ if (BN_is_negative(a) || BN_is_zero(a))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_GROUP_ORDER);
+ goto err;
+ }
+ if (BN_num_bits(a) > (int)field_bits + 1) /* Hasse bound */
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_GROUP_ORDER);
+ goto err;
+ }
+
+ /* extract the cofactor (optional) */
+ if (params->cofactor == NULL)
+ {
+ if (b)
+ {
+ BN_free(b);
+ b = NULL;
+ }
+ }
+ else
+ if ((b = ASN1_INTEGER_to_BN(params->cofactor, b)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ /* set the generator, order and cofactor (if present) */
+ if (!EC_GROUP_set_generator(ret, point, a, b))
+ {
+ ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ ok = 1;
+
+err: if (!ok)
+ {
+ if (ret)
+ EC_GROUP_clear_free(ret);
+ ret = NULL;
+ }
+
+ if (p)
+ BN_free(p);
+ if (a)
+ BN_free(a);
+ if (b)
+ BN_free(b);
+ if (point)
+ EC_POINT_free(point);
+ return(ret);
+}
+
+EC_GROUP *ec_asn1_pkparameters2group(const ECPKPARAMETERS *params)
+ {
+ EC_GROUP *ret=NULL;
+ int tmp=0;
+
+ if (params == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP,
+ EC_R_MISSING_PARAMETERS);
+ return NULL;
+ }
+
+ if (params->type == 0)
+ { /* the curve is given by an OID */
+ tmp = OBJ_obj2nid(params->value.named_curve);
+ if ((ret = EC_GROUP_new_by_curve_name(tmp)) == NULL)
+ {
+ ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP,
+ EC_R_EC_GROUP_NEW_BY_NAME_FAILURE);
+ return NULL;
+ }
+ EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_NAMED_CURVE);
+ }
+ else if (params->type == 1)
+ { /* the parameters are given by a ECPARAMETERS
+ * structure */
+ ret = ec_asn1_parameters2group(params->value.parameters);
+ if (!ret)
+ {
+ ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, ERR_R_EC_LIB);
+ return NULL;
+ }
+ EC_GROUP_set_asn1_flag(ret, 0x0);
+ }
+ else if (params->type == 2)
+ { /* implicitlyCA */
+ return NULL;
+ }
+ else
+ {
+ ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, EC_R_ASN1_ERROR);
+ return NULL;
+ }
+
+ return ret;
+ }
+
+/* EC_GROUP <-> DER encoding of ECPKPARAMETERS */
+
+EC_GROUP *d2i_ECPKParameters(EC_GROUP **a, const unsigned char **in, long len)
+ {
+ EC_GROUP *group = NULL;
+ ECPKPARAMETERS *params = NULL;
+
+ if ((params = d2i_ECPKPARAMETERS(NULL, in, len)) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_D2I_ECPKPARAMETERS_FAILURE);
+ ECPKPARAMETERS_free(params);
+ return NULL;
+ }
+
+ if ((group = ec_asn1_pkparameters2group(params)) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_PKPARAMETERS2GROUP_FAILURE);
+ return NULL;
+ }
+
+
+ if (a && *a)
+ EC_GROUP_clear_free(*a);
+ if (a)
+ *a = group;
+
+ ECPKPARAMETERS_free(params);
+ return(group);
+ }
+
+int i2d_ECPKParameters(const EC_GROUP *a, unsigned char **out)
+ {
+ int ret=0;
+ ECPKPARAMETERS *tmp = ec_asn1_group2pkparameters(a, NULL);
+ if (tmp == NULL)
+ {
+ ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_GROUP2PKPARAMETERS_FAILURE);
+ return 0;
+ }
+ if ((ret = i2d_ECPKPARAMETERS(tmp, out)) == 0)
+ {
+ ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_I2D_ECPKPARAMETERS_FAILURE);
+ ECPKPARAMETERS_free(tmp);
+ return 0;
+ }
+ ECPKPARAMETERS_free(tmp);
+ return(ret);
+ }
+
+/* some EC_KEY functions */
+
+EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len)
+ {
+ int ok=0;
+ EC_KEY *ret=NULL;
+ EC_PRIVATEKEY *priv_key=NULL;
+
+ if ((priv_key = EC_PRIVATEKEY_new()) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+
+ if ((priv_key = d2i_EC_PRIVATEKEY(&priv_key, in, len)) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
+ EC_PRIVATEKEY_free(priv_key);
+ return NULL;
+ }
+
+ if (a == NULL || *a == NULL)
+ {
+ if ((ret = EC_KEY_new()) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ if (a)
+ *a = ret;
+ }
+ else
+ ret = *a;
+
+ if (priv_key->parameters)
+ {
+ if (ret->group)
+ EC_GROUP_clear_free(ret->group);
+ ret->group = ec_asn1_pkparameters2group(priv_key->parameters);
+ }
+
+ if (ret->group == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ ret->version = priv_key->version;
+
+ if (priv_key->privateKey)
+ {
+ ret->priv_key = BN_bin2bn(
+ M_ASN1_STRING_data(priv_key->privateKey),
+ M_ASN1_STRING_length(priv_key->privateKey),
+ ret->priv_key);
+ if (ret->priv_key == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY,
+ ERR_R_BN_LIB);
+ goto err;
+ }
+ }
+ else
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY,
+ EC_R_MISSING_PRIVATE_KEY);
+ goto err;
+ }
+
+ if (priv_key->publicKey)
+ {
+ const unsigned char *pub_oct;
+ size_t pub_oct_len;
+
+ if (ret->pub_key)
+ EC_POINT_clear_free(ret->pub_key);
+ ret->pub_key = EC_POINT_new(ret->group);
+ if (ret->pub_key == NULL)
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ pub_oct = M_ASN1_STRING_data(priv_key->publicKey);
+ pub_oct_len = M_ASN1_STRING_length(priv_key->publicKey);
+ /* save the point conversion form */
+ ret->conv_form = (point_conversion_form_t)(pub_oct[0] & ~0x01);
+ if (!EC_POINT_oct2point(ret->group, ret->pub_key,
+ pub_oct, pub_oct_len, NULL))
+ {
+ ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+
+ ok = 1;
+err:
+ if (!ok)
+ {
+ if (ret)
+ EC_KEY_free(ret);
+ ret = NULL;
+ }
+
+ if (priv_key)
+ EC_PRIVATEKEY_free(priv_key);
+
+ return(ret);
+ }
+
+int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out)
+ {
+ int ret=0, ok=0;
+ unsigned char *buffer=NULL;
+ size_t buf_len=0, tmp_len;
+ EC_PRIVATEKEY *priv_key=NULL;
+
+ if (a == NULL || a->group == NULL || a->priv_key == NULL)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY,
+ ERR_R_PASSED_NULL_PARAMETER);
+ goto err;
+ }
+
+ if ((priv_key = EC_PRIVATEKEY_new()) == NULL)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ priv_key->version = a->version;
+
+ buf_len = (size_t)BN_num_bytes(a->priv_key);
+ buffer = OPENSSL_malloc(buf_len);
+ if (buffer == NULL)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ if (!BN_bn2bin(a->priv_key, buffer))
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if (!M_ASN1_OCTET_STRING_set(priv_key->privateKey, buffer, buf_len))
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_ASN1_LIB);
+ goto err;
+ }
+
+ if (!(a->enc_flag & EC_PKEY_NO_PARAMETERS))
+ {
+ if ((priv_key->parameters = ec_asn1_group2pkparameters(
+ a->group, priv_key->parameters)) == NULL)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+
+ if (!(a->enc_flag & EC_PKEY_NO_PUBKEY))
+ {
+ priv_key->publicKey = M_ASN1_BIT_STRING_new();
+ if (priv_key->publicKey == NULL)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY,
+ ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ tmp_len = EC_POINT_point2oct(a->group, a->pub_key,
+ a->conv_form, NULL, 0, NULL);
+
+ if (tmp_len > buf_len)
+ {
+ unsigned char *tmp_buffer = OPENSSL_realloc(buffer, tmp_len);
+ if (!tmp_buffer)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ buffer = tmp_buffer;
+ buf_len = tmp_len;
+ }
+
+ if (!EC_POINT_point2oct(a->group, a->pub_key,
+ a->conv_form, buffer, buf_len, NULL))
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ priv_key->publicKey->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT|0x07);
+ priv_key->publicKey->flags |= ASN1_STRING_FLAG_BITS_LEFT;
+ if (!M_ASN1_BIT_STRING_set(priv_key->publicKey, buffer,
+ buf_len))
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_ASN1_LIB);
+ goto err;
+ }
+ }
+
+ if ((ret = i2d_EC_PRIVATEKEY(priv_key, out)) == 0)
+ {
+ ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ ok=1;
+err:
+ if (buffer)
+ OPENSSL_free(buffer);
+ if (priv_key)
+ EC_PRIVATEKEY_free(priv_key);
+ return(ok?ret:0);
+ }
+
+int i2d_ECParameters(EC_KEY *a, unsigned char **out)
+ {
+ if (a == NULL)
+ {
+ ECerr(EC_F_I2D_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+ return i2d_ECPKParameters(a->group, out);
+ }
+
+EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len)
+ {
+ EC_KEY *ret;
+
+ if (in == NULL || *in == NULL)
+ {
+ ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER);
+ return NULL;
+ }
+
+ if (a == NULL || *a == NULL)
+ {
+ if ((ret = EC_KEY_new()) == NULL)
+ {
+ ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+ if (a)
+ *a = ret;
+ }
+ else
+ ret = *a;
+
+ if (!d2i_ECPKParameters(&ret->group, in, len))
+ {
+ ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_EC_LIB);
+ return NULL;
+ }
+
+ return ret;
+ }
+
+EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len)
+ {
+ EC_KEY *ret=NULL;
+
+ if (a == NULL || (*a) == NULL || (*a)->group == NULL)
+ {
+ /* sorry, but a EC_GROUP-structur is necessary
+ * to set the public key */
+ ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+ ret = *a;
+ if (ret->pub_key == NULL &&
+ (ret->pub_key = EC_POINT_new(ret->group)) == NULL)
+ {
+ ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_MALLOC_FAILURE);
+ return 0;
+ }
+ if (!EC_POINT_oct2point(ret->group, ret->pub_key, *in, len, NULL))
+ {
+ ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_EC_LIB);
+ return 0;
+ }
+ /* save the point conversion form */
+ ret->conv_form = (point_conversion_form_t)(*in[0] & ~0x01);
+ *in += len;
+ return ret;
+ }
+
+int i2o_ECPublicKey(EC_KEY *a, unsigned char **out)
+ {
+ size_t buf_len=0;
+ int new_buffer = 0;
+
+ if (a == NULL)
+ {
+ ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ buf_len = EC_POINT_point2oct(a->group, a->pub_key,
+ a->conv_form, NULL, 0, NULL);
+
+ if (out == NULL || buf_len == 0)
+ /* out == NULL => just return the length of the octet string */
+ return buf_len;
+
+ if (*out == NULL)
+ {
+ if ((*out = OPENSSL_malloc(buf_len)) == NULL)
+ {
+ ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_MALLOC_FAILURE);
+ return 0;
+ }
+ new_buffer = 1;
+ }
+ if (!EC_POINT_point2oct(a->group, a->pub_key, a->conv_form,
+ *out, buf_len, NULL))
+ {
+ ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_EC_LIB);
+ OPENSSL_free(*out);
+ *out = NULL;
+ return 0;
+ }
+ if (!new_buffer)
+ *out += buf_len;
+ return buf_len;
+ }
diff --git a/openssl/crypto/ec/ec_check.c b/openssl/crypto/ec/ec_check.c
new file mode 100644
index 00000000..0e316b4b
--- /dev/null
+++ b/openssl/crypto/ec/ec_check.c
@@ -0,0 +1,123 @@
+/* crypto/ec/ec_check.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).
+ *
+ */
+
+#include "ec_lcl.h"
+#include <openssl/err.h>
+
+int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *order;
+ BN_CTX *new_ctx = NULL;
+ EC_POINT *point = NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ BN_CTX_start(ctx);
+ if ((order = BN_CTX_get(ctx)) == NULL) goto err;
+
+ /* check the discriminant */
+ if (!EC_GROUP_check_discriminant(group, ctx))
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, EC_R_DISCRIMINANT_IS_ZERO);
+ goto err;
+ }
+
+ /* check the generator */
+ if (group->generator == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_GENERATOR);
+ goto err;
+ }
+ if (!EC_POINT_is_on_curve(group, group->generator, ctx))
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, EC_R_POINT_IS_NOT_ON_CURVE);
+ goto err;
+ }
+
+ /* check the order of the generator */
+ if ((point = EC_POINT_new(group)) == NULL) goto err;
+ if (!EC_GROUP_get_order(group, order, ctx)) goto err;
+ if (BN_is_zero(order))
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_ORDER);
+ goto err;
+ }
+
+ if (!EC_POINT_mul(group, point, order, NULL, NULL, ctx)) goto err;
+ if (!EC_POINT_is_at_infinity(group, point))
+ {
+ ECerr(EC_F_EC_GROUP_CHECK, EC_R_INVALID_GROUP_ORDER);
+ goto err;
+ }
+
+ ret = 1;
+
+err:
+ if (ctx != NULL)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ if (point)
+ EC_POINT_free(point);
+ return ret;
+ }
diff --git a/openssl/crypto/ec/ec_curve.c b/openssl/crypto/ec/ec_curve.c
new file mode 100644
index 00000000..23274e40
--- /dev/null
+++ b/openssl/crypto/ec/ec_curve.c
@@ -0,0 +1,2059 @@
+/* crypto/ec/ec_curve.c */
+/*
+ * Written by Nils Larsch 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).
+ *
+ */
+/* ====================================================================
+ * 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 OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+#include "ec_lcl.h"
+#include <openssl/err.h>
+#include <openssl/obj_mac.h>
+
+typedef struct {
+ int field_type, /* either NID_X9_62_prime_field or
+ * NID_X9_62_characteristic_two_field */
+ seed_len,
+ param_len;
+ unsigned int cofactor; /* promoted to BN_ULONG */
+} EC_CURVE_DATA;
+
+/* the nist prime curves */
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_NIST_PRIME_192 = {
+ { NID_X9_62_prime_field,20,24,1 },
+ { 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57, /* seed */
+ 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5,
+
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFC,
+ 0x64,0x21,0x05,0x19,0xE5,0x9C,0x80,0xE7,0x0F,0xA7, /* b */
+ 0xE9,0xAB,0x72,0x24,0x30,0x49,0xFE,0xB8,0xDE,0xEC,
+ 0xC1,0x46,0xB9,0xB1,
+ 0x18,0x8D,0xA8,0x0E,0xB0,0x30,0x90,0xF6,0x7C,0xBF, /* x */
+ 0x20,0xEB,0x43,0xA1,0x88,0x00,0xF4,0xFF,0x0A,0xFD,
+ 0x82,0xFF,0x10,0x12,
+ 0x07,0x19,0x2b,0x95,0xff,0xc8,0xda,0x78,0x63,0x10, /* y */
+ 0x11,0xed,0x6b,0x24,0xcd,0xd5,0x73,0xf9,0x77,0xa1,
+ 0x1e,0x79,0x48,0x11,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0x99,0xDE,0xF8,0x36,0x14,0x6B,0xC9,0xB1,
+ 0xB4,0xD2,0x28,0x31 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+28*6]; }
+ _EC_NIST_PRIME_224 = {
+ { NID_X9_62_prime_field,20,28,1 },
+ { 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45, /* seed */
+ 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5,
+
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
+ 0xB4,0x05,0x0A,0x85,0x0C,0x04,0xB3,0xAB,0xF5,0x41, /* b */
+ 0x32,0x56,0x50,0x44,0xB0,0xB7,0xD7,0xBF,0xD8,0xBA,
+ 0x27,0x0B,0x39,0x43,0x23,0x55,0xFF,0xB4,
+ 0xB7,0x0E,0x0C,0xBD,0x6B,0xB4,0xBF,0x7F,0x32,0x13, /* x */
+ 0x90,0xB9,0x4A,0x03,0xC1,0xD3,0x56,0xC2,0x11,0x22,
+ 0x34,0x32,0x80,0xD6,0x11,0x5C,0x1D,0x21,
+ 0xbd,0x37,0x63,0x88,0xb5,0xf7,0x23,0xfb,0x4c,0x22, /* y */
+ 0xdf,0xe6,0xcd,0x43,0x75,0xa0,0x5a,0x07,0x47,0x64,
+ 0x44,0xd5,0x81,0x99,0x85,0x00,0x7e,0x34,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0x16,0xA2,0xE0,0xB8,0xF0,0x3E,
+ 0x13,0xDD,0x29,0x45,0x5C,0x5C,0x2A,0x3D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+48*6]; }
+ _EC_NIST_PRIME_384 = {
+ { NID_X9_62_prime_field,20,48,1 },
+ { 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00, /* seed */
+ 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73,
+
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0xFF,0xFF,0xFF,0xFC,
+ 0xB3,0x31,0x2F,0xA7,0xE2,0x3E,0xE7,0xE4,0x98,0x8E, /* b */
+ 0x05,0x6B,0xE3,0xF8,0x2D,0x19,0x18,0x1D,0x9C,0x6E,
+ 0xFE,0x81,0x41,0x12,0x03,0x14,0x08,0x8F,0x50,0x13,
+ 0x87,0x5A,0xC6,0x56,0x39,0x8D,0x8A,0x2E,0xD1,0x9D,
+ 0x2A,0x85,0xC8,0xED,0xD3,0xEC,0x2A,0xEF,
+ 0xAA,0x87,0xCA,0x22,0xBE,0x8B,0x05,0x37,0x8E,0xB1, /* x */
+ 0xC7,0x1E,0xF3,0x20,0xAD,0x74,0x6E,0x1D,0x3B,0x62,
+ 0x8B,0xA7,0x9B,0x98,0x59,0xF7,0x41,0xE0,0x82,0x54,
+ 0x2A,0x38,0x55,0x02,0xF2,0x5D,0xBF,0x55,0x29,0x6C,
+ 0x3A,0x54,0x5E,0x38,0x72,0x76,0x0A,0xB7,
+ 0x36,0x17,0xde,0x4a,0x96,0x26,0x2c,0x6f,0x5d,0x9e, /* y */
+ 0x98,0xbf,0x92,0x92,0xdc,0x29,0xf8,0xf4,0x1d,0xbd,
+ 0x28,0x9a,0x14,0x7c,0xe9,0xda,0x31,0x13,0xb5,0xf0,
+ 0xb8,0xc0,0x0a,0x60,0xb1,0xce,0x1d,0x7e,0x81,0x9d,
+ 0x7a,0x43,0x1d,0x7c,0x90,0xea,0x0e,0x5f,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xC7,0x63,0x4D,0x81,0xF4,0x37,
+ 0x2D,0xDF,0x58,0x1A,0x0D,0xB2,0x48,0xB0,0xA7,0x7A,
+ 0xEC,0xEC,0x19,0x6A,0xCC,0xC5,0x29,0x73 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+66*6]; }
+ _EC_NIST_PRIME_521 = {
+ { NID_X9_62_prime_field,20,66,1 },
+ { 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC, /* seed */
+ 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA,
+
+ 0x01,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0x01,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFC,
+ 0x00,0x51,0x95,0x3E,0xB9,0x61,0x8E,0x1C,0x9A,0x1F, /* b */
+ 0x92,0x9A,0x21,0xA0,0xB6,0x85,0x40,0xEE,0xA2,0xDA,
+ 0x72,0x5B,0x99,0xB3,0x15,0xF3,0xB8,0xB4,0x89,0x91,
+ 0x8E,0xF1,0x09,0xE1,0x56,0x19,0x39,0x51,0xEC,0x7E,
+ 0x93,0x7B,0x16,0x52,0xC0,0xBD,0x3B,0xB1,0xBF,0x07,
+ 0x35,0x73,0xDF,0x88,0x3D,0x2C,0x34,0xF1,0xEF,0x45,
+ 0x1F,0xD4,0x6B,0x50,0x3F,0x00,
+ 0x00,0xC6,0x85,0x8E,0x06,0xB7,0x04,0x04,0xE9,0xCD, /* x */
+ 0x9E,0x3E,0xCB,0x66,0x23,0x95,0xB4,0x42,0x9C,0x64,
+ 0x81,0x39,0x05,0x3F,0xB5,0x21,0xF8,0x28,0xAF,0x60,
+ 0x6B,0x4D,0x3D,0xBA,0xA1,0x4B,0x5E,0x77,0xEF,0xE7,
+ 0x59,0x28,0xFE,0x1D,0xC1,0x27,0xA2,0xFF,0xA8,0xDE,
+ 0x33,0x48,0xB3,0xC1,0x85,0x6A,0x42,0x9B,0xF9,0x7E,
+ 0x7E,0x31,0xC2,0xE5,0xBD,0x66,
+ 0x01,0x18,0x39,0x29,0x6a,0x78,0x9a,0x3b,0xc0,0x04, /* y */
+ 0x5c,0x8a,0x5f,0xb4,0x2c,0x7d,0x1b,0xd9,0x98,0xf5,
+ 0x44,0x49,0x57,0x9b,0x44,0x68,0x17,0xaf,0xbd,0x17,
+ 0x27,0x3e,0x66,0x2c,0x97,0xee,0x72,0x99,0x5e,0xf4,
+ 0x26,0x40,0xc5,0x50,0xb9,0x01,0x3f,0xad,0x07,0x61,
+ 0x35,0x3c,0x70,0x86,0xa2,0x72,0xc2,0x40,0x88,0xbe,
+ 0x94,0x76,0x9f,0xd1,0x66,0x50,
+ 0x01,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFA,0x51,0x86,0x87,0x83,0xBF,0x2F,
+ 0x96,0x6B,0x7F,0xCC,0x01,0x48,0xF7,0x09,0xA5,0xD0,
+ 0x3B,0xB5,0xC9,0xB8,0x89,0x9C,0x47,0xAE,0xBB,0x6F,
+ 0xB7,0x1E,0x91,0x38,0x64,0x09 }
+ };
+
+/* the x9.62 prime curves (minus the nist prime curves) */
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_X9_62_PRIME_192V2 = {
+ { NID_X9_62_prime_field,20,24,1 },
+ { 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B, /* seed */
+ 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6,
+
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFC,
+ 0xCC,0x22,0xD6,0xDF,0xB9,0x5C,0x6B,0x25,0xE4,0x9C, /* b */
+ 0x0D,0x63,0x64,0xA4,0xE5,0x98,0x0C,0x39,0x3A,0xA2,
+ 0x16,0x68,0xD9,0x53,
+ 0xEE,0xA2,0xBA,0xE7,0xE1,0x49,0x78,0x42,0xF2,0xDE, /* x */
+ 0x77,0x69,0xCF,0xE9,0xC9,0x89,0xC0,0x72,0xAD,0x69,
+ 0x6F,0x48,0x03,0x4A,
+ 0x65,0x74,0xd1,0x1d,0x69,0xb6,0xec,0x7a,0x67,0x2b, /* y */
+ 0xb8,0x2a,0x08,0x3d,0xf2,0xf2,0xb0,0x84,0x7d,0xe9,
+ 0x70,0xb2,0xde,0x15,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFE,0x5F,0xB1,0xA7,0x24,0xDC,0x80,0x41,0x86,
+ 0x48,0xD8,0xDD,0x31 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_X9_62_PRIME_192V3 = {
+ { NID_X9_62_prime_field,20,24,1 },
+ { 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6, /* seed */
+ 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E,
+
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFC,
+ 0x22,0x12,0x3D,0xC2,0x39,0x5A,0x05,0xCA,0xA7,0x42, /* b */
+ 0x3D,0xAE,0xCC,0xC9,0x47,0x60,0xA7,0xD4,0x62,0x25,
+ 0x6B,0xD5,0x69,0x16,
+ 0x7D,0x29,0x77,0x81,0x00,0xC6,0x5A,0x1D,0xA1,0x78, /* x */
+ 0x37,0x16,0x58,0x8D,0xCE,0x2B,0x8B,0x4A,0xEE,0x8E,
+ 0x22,0x8F,0x18,0x96,
+ 0x38,0xa9,0x0f,0x22,0x63,0x73,0x37,0x33,0x4b,0x49, /* y */
+ 0xdc,0xb6,0x6a,0x6d,0xc8,0xf9,0x97,0x8a,0xca,0x76,
+ 0x48,0xa9,0x43,0xb0,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0x7A,0x62,0xD0,0x31,0xC8,0x3F,0x42,0x94,
+ 0xF6,0x40,0xEC,0x13 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_PRIME_239V1 = {
+ { NID_X9_62_prime_field,20,30,1 },
+ { 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0, /* seed */
+ 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFC,
+
+ 0x6B,0x01,0x6C,0x3B,0xDC,0xF1,0x89,0x41,0xD0,0xD6, /* b */
+ 0x54,0x92,0x14,0x75,0xCA,0x71,0xA9,0xDB,0x2F,0xB2,
+ 0x7D,0x1D,0x37,0x79,0x61,0x85,0xC2,0x94,0x2C,0x0A,
+
+ 0x0F,0xFA,0x96,0x3C,0xDC,0xA8,0x81,0x6C,0xCC,0x33, /* x */
+ 0xB8,0x64,0x2B,0xED,0xF9,0x05,0xC3,0xD3,0x58,0x57,
+ 0x3D,0x3F,0x27,0xFB,0xBD,0x3B,0x3C,0xB9,0xAA,0xAF,
+
+ 0x7d,0xeb,0xe8,0xe4,0xe9,0x0a,0x5d,0xae,0x6e,0x40, /* y */
+ 0x54,0xca,0x53,0x0b,0xa0,0x46,0x54,0xb3,0x68,0x18,
+ 0xce,0x22,0x6b,0x39,0xfc,0xcb,0x7b,0x02,0xf1,0xae,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0x9E,0x5E,0x9A,0x9F,0x5D,
+ 0x90,0x71,0xFB,0xD1,0x52,0x26,0x88,0x90,0x9D,0x0B }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_PRIME_239V2 = {
+ { NID_X9_62_prime_field,20,30,1 },
+ { 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B, /* seed */
+ 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFC,
+
+ 0x61,0x7F,0xAB,0x68,0x32,0x57,0x6C,0xBB,0xFE,0xD5, /* b */
+ 0x0D,0x99,0xF0,0x24,0x9C,0x3F,0xEE,0x58,0xB9,0x4B,
+ 0xA0,0x03,0x8C,0x7A,0xE8,0x4C,0x8C,0x83,0x2F,0x2C,
+
+ 0x38,0xAF,0x09,0xD9,0x87,0x27,0x70,0x51,0x20,0xC9, /* x */
+ 0x21,0xBB,0x5E,0x9E,0x26,0x29,0x6A,0x3C,0xDC,0xF2,
+ 0xF3,0x57,0x57,0xA0,0xEA,0xFD,0x87,0xB8,0x30,0xE7,
+
+ 0x5b,0x01,0x25,0xe4,0xdb,0xea,0x0e,0xc7,0x20,0x6d, /* y */
+ 0xa0,0xfc,0x01,0xd9,0xb0,0x81,0x32,0x9f,0xb5,0x55,
+ 0xde,0x6e,0xf4,0x60,0x23,0x7d,0xff,0x8b,0xe4,0xba,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0x80,0x00,0x00,0xCF,0xA7,0xE8,0x59,0x43,
+ 0x77,0xD4,0x14,0xC0,0x38,0x21,0xBC,0x58,0x20,0x63 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_PRIME_239V3 = {
+ { NID_X9_62_prime_field,20,30,1 },
+ { 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A, /* seed */
+ 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0x80,0x00,
+ 0x00,0x00,0x00,0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFC,
+
+ 0x25,0x57,0x05,0xFA,0x2A,0x30,0x66,0x54,0xB1,0xF4, /* b */
+ 0xCB,0x03,0xD6,0xA7,0x50,0xA3,0x0C,0x25,0x01,0x02,
+ 0xD4,0x98,0x87,0x17,0xD9,0xBA,0x15,0xAB,0x6D,0x3E,
+
+ 0x67,0x68,0xAE,0x8E,0x18,0xBB,0x92,0xCF,0xCF,0x00, /* x */
+ 0x5C,0x94,0x9A,0xA2,0xC6,0xD9,0x48,0x53,0xD0,0xE6,
+ 0x60,0xBB,0xF8,0x54,0xB1,0xC9,0x50,0x5F,0xE9,0x5A,
+
+ 0x16,0x07,0xe6,0x89,0x8f,0x39,0x0c,0x06,0xbc,0x1d, /* y */
+ 0x55,0x2b,0xad,0x22,0x6f,0x3b,0x6f,0xcf,0xe4,0x8b,
+ 0x6e,0x81,0x84,0x99,0xaf,0x18,0xe3,0xed,0x6c,0xf3,
+
+ 0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0x7F,0xFF,0xFF,0x97,0x5D,0xEB,0x41,0xB3,
+ 0xA6,0x05,0x7C,0x3C,0x43,0x21,0x46,0x52,0x65,0x51 }
+ };
+
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+32*6]; }
+ _EC_X9_62_PRIME_256V1 = {
+ { NID_X9_62_prime_field,20,32,1 },
+ { 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66, /* seed */
+ 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90,
+
+ 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x01,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x01,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFC,
+ 0x5A,0xC6,0x35,0xD8,0xAA,0x3A,0x93,0xE7,0xB3,0xEB, /* b */
+ 0xBD,0x55,0x76,0x98,0x86,0xBC,0x65,0x1D,0x06,0xB0,
+ 0xCC,0x53,0xB0,0xF6,0x3B,0xCE,0x3C,0x3E,0x27,0xD2,
+ 0x60,0x4B,
+ 0x6B,0x17,0xD1,0xF2,0xE1,0x2C,0x42,0x47,0xF8,0xBC, /* x */
+ 0xE6,0xE5,0x63,0xA4,0x40,0xF2,0x77,0x03,0x7D,0x81,
+ 0x2D,0xEB,0x33,0xA0,0xF4,0xA1,0x39,0x45,0xD8,0x98,
+ 0xC2,0x96,
+ 0x4f,0xe3,0x42,0xe2,0xfe,0x1a,0x7f,0x9b,0x8e,0xe7, /* y */
+ 0xeb,0x4a,0x7c,0x0f,0x9e,0x16,0x2b,0xce,0x33,0x57,
+ 0x6b,0x31,0x5e,0xce,0xcb,0xb6,0x40,0x68,0x37,0xbf,
+ 0x51,0xf5,
+ 0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xBC,0xE6,0xFA,0xAD,
+ 0xA7,0x17,0x9E,0x84,0xF3,0xB9,0xCA,0xC2,0xFC,0x63,
+ 0x25,0x51 }
+ };
+
+/* the secg prime curves (minus the nist and x9.62 prime curves) */
+static const struct { EC_CURVE_DATA h; unsigned char data[20+14*6]; }
+ _EC_SECG_PRIME_112R1 = {
+ { NID_X9_62_prime_field,20,14,1 },
+ { 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68, /* seed */
+ 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1,
+
+ 0xDB,0x7C,0x2A,0xBF,0x62,0xE3,0x5E,0x66,0x80,0x76, /* p */
+ 0xBE,0xAD,0x20,0x8B,
+ 0xDB,0x7C,0x2A,0xBF,0x62,0xE3,0x5E,0x66,0x80,0x76, /* a */
+ 0xBE,0xAD,0x20,0x88,
+ 0x65,0x9E,0xF8,0xBA,0x04,0x39,0x16,0xEE,0xDE,0x89, /* b */
+ 0x11,0x70,0x2B,0x22,
+ 0x09,0x48,0x72,0x39,0x99,0x5A,0x5E,0xE7,0x6B,0x55, /* x */
+ 0xF9,0xC2,0xF0,0x98,
+ 0xa8,0x9c,0xe5,0xaf,0x87,0x24,0xc0,0xa2,0x3e,0x0e, /* y */
+ 0x0f,0xf7,0x75,0x00,
+ 0xDB,0x7C,0x2A,0xBF,0x62,0xE3,0x5E,0x76,0x28,0xDF, /* order */
+ 0xAC,0x65,0x61,0xC5 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+14*6]; }
+ _EC_SECG_PRIME_112R2 = {
+ { NID_X9_62_prime_field,20,14,4 },
+ { 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68, /* seed */
+ 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4,
+
+ 0xDB,0x7C,0x2A,0xBF,0x62,0xE3,0x5E,0x66,0x80,0x76, /* p */
+ 0xBE,0xAD,0x20,0x8B,
+ 0x61,0x27,0xC2,0x4C,0x05,0xF3,0x8A,0x0A,0xAA,0xF6, /* a */
+ 0x5C,0x0E,0xF0,0x2C,
+ 0x51,0xDE,0xF1,0x81,0x5D,0xB5,0xED,0x74,0xFC,0xC3, /* b */
+ 0x4C,0x85,0xD7,0x09,
+ 0x4B,0xA3,0x0A,0xB5,0xE8,0x92,0xB4,0xE1,0x64,0x9D, /* x */
+ 0xD0,0x92,0x86,0x43,
+ 0xad,0xcd,0x46,0xf5,0x88,0x2e,0x37,0x47,0xde,0xf3, /* y */
+ 0x6e,0x95,0x6e,0x97,
+ 0x36,0xDF,0x0A,0xAF,0xD8,0xB8,0xD7,0x59,0x7C,0xA1, /* order */
+ 0x05,0x20,0xD0,0x4B }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+16*6]; }
+ _EC_SECG_PRIME_128R1 = {
+ { NID_X9_62_prime_field,20,16,1 },
+ { 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, /* seed */
+ 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79,
+
+ 0xFF,0xFF,0xFF,0xFD,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFD,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFC,
+ 0xE8,0x75,0x79,0xC1,0x10,0x79,0xF4,0x3D,0xD8,0x24, /* b */
+ 0x99,0x3C,0x2C,0xEE,0x5E,0xD3,
+ 0x16,0x1F,0xF7,0x52,0x8B,0x89,0x9B,0x2D,0x0C,0x28, /* x */
+ 0x60,0x7C,0xA5,0x2C,0x5B,0x86,
+ 0xcf,0x5a,0xc8,0x39,0x5b,0xaf,0xeb,0x13,0xc0,0x2d, /* y */
+ 0xa2,0x92,0xdd,0xed,0x7a,0x83,
+ 0xFF,0xFF,0xFF,0xFE,0x00,0x00,0x00,0x00,0x75,0xA3, /* order */
+ 0x0D,0x1B,0x90,0x38,0xA1,0x15 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+16*6]; }
+ _EC_SECG_PRIME_128R2 = {
+ { NID_X9_62_prime_field,20,16,4 },
+ { 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75, /* seed */
+ 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4,
+
+ 0xFF,0xFF,0xFF,0xFD,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xD6,0x03,0x19,0x98,0xD1,0xB3,0xBB,0xFE,0xBF,0x59, /* a */
+ 0xCC,0x9B,0xBF,0xF9,0xAE,0xE1,
+ 0x5E,0xEE,0xFC,0xA3,0x80,0xD0,0x29,0x19,0xDC,0x2C, /* b */
+ 0x65,0x58,0xBB,0x6D,0x8A,0x5D,
+ 0x7B,0x6A,0xA5,0xD8,0x5E,0x57,0x29,0x83,0xE6,0xFB, /* x */
+ 0x32,0xA7,0xCD,0xEB,0xC1,0x40,
+ 0x27,0xb6,0x91,0x6a,0x89,0x4d,0x3a,0xee,0x71,0x06, /* y */
+ 0xfe,0x80,0x5f,0xc3,0x4b,0x44,
+ 0x3F,0xFF,0xFF,0xFF,0x7F,0xFF,0xFF,0xFF,0xBE,0x00, /* order */
+ 0x24,0x72,0x06,0x13,0xB5,0xA3 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+21*6]; }
+ _EC_SECG_PRIME_160K1 = {
+ { NID_X9_62_prime_field,0,21,1 },
+ { /* no seed */
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xAC,
+ 0x73,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x07,
+ 0x00,0x3B,0x4C,0x38,0x2C,0xE3,0x7A,0xA1,0x92,0xA4, /* x */
+ 0x01,0x9E,0x76,0x30,0x36,0xF4,0xF5,0xDD,0x4D,0x7E,
+ 0xBB,
+ 0x00,0x93,0x8c,0xf9,0x35,0x31,0x8f,0xdc,0xed,0x6b, /* y */
+ 0xc2,0x82,0x86,0x53,0x17,0x33,0xc3,0xf0,0x3c,0x4f,
+ 0xee,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x01,0xB8,0xFA,0x16,0xDF,0xAB,0x9A,0xCA,0x16,0xB6,
+ 0xB3 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+21*6]; }
+ _EC_SECG_PRIME_160R1 = {
+ { NID_X9_62_prime_field,20,21,1 },
+ { 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45,
+
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x7F,0xFF,0xFF,
+ 0xFF,
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x7F,0xFF,0xFF,
+ 0xFC,
+ 0x00,0x1C,0x97,0xBE,0xFC,0x54,0xBD,0x7A,0x8B,0x65, /* b */
+ 0xAC,0xF8,0x9F,0x81,0xD4,0xD4,0xAD,0xC5,0x65,0xFA,
+ 0x45,
+ 0x00,0x4A,0x96,0xB5,0x68,0x8E,0xF5,0x73,0x28,0x46, /* x */
+ 0x64,0x69,0x89,0x68,0xC3,0x8B,0xB9,0x13,0xCB,0xFC,
+ 0x82,
+ 0x00,0x23,0xa6,0x28,0x55,0x31,0x68,0x94,0x7d,0x59, /* y */
+ 0xdc,0xc9,0x12,0x04,0x23,0x51,0x37,0x7a,0xc5,0xfb,
+ 0x32,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x01,0xF4,0xC8,0xF9,0x27,0xAE,0xD3,0xCA,0x75,0x22,
+ 0x57 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+21*6]; }
+ _EC_SECG_PRIME_160R2 = {
+ { NID_X9_62_prime_field,20,21,1 },
+ { 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09, /* seed */
+ 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51,
+
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xAC,
+ 0x73,
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xAC,
+ 0x70,
+ 0x00,0xB4,0xE1,0x34,0xD3,0xFB,0x59,0xEB,0x8B,0xAB, /* b */
+ 0x57,0x27,0x49,0x04,0x66,0x4D,0x5A,0xF5,0x03,0x88,
+ 0xBA,
+ 0x00,0x52,0xDC,0xB0,0x34,0x29,0x3A,0x11,0x7E,0x1F, /* x */
+ 0x4F,0xF1,0x1B,0x30,0xF7,0x19,0x9D,0x31,0x44,0xCE,
+ 0x6D,
+ 0x00,0xfe,0xaf,0xfe,0xf2,0xe3,0x31,0xf2,0x96,0xe0, /* y */
+ 0x71,0xfa,0x0d,0xf9,0x98,0x2c,0xfe,0xa7,0xd4,0x3f,
+ 0x2e,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x35,0x1E,0xE7,0x86,0xA8,0x18,0xF3,0xA1,0xA1,
+ 0x6B }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+24*6]; }
+ _EC_SECG_PRIME_192K1 = {
+ { NID_X9_62_prime_field,0,24,1 },
+ { /* no seed */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
+ 0xFF,0xFF,0xEE,0x37,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x03,
+ 0xDB,0x4F,0xF1,0x0E,0xC0,0x57,0xE9,0xAE,0x26,0xB0, /* x */
+ 0x7D,0x02,0x80,0xB7,0xF4,0x34,0x1D,0xA5,0xD1,0xB1,
+ 0xEA,0xE0,0x6C,0x7D,
+ 0x9b,0x2f,0x2f,0x6d,0x9c,0x56,0x28,0xa7,0x84,0x41, /* y */
+ 0x63,0xd0,0x15,0xbe,0x86,0x34,0x40,0x82,0xaa,0x88,
+ 0xd9,0x5e,0x2f,0x9d,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFE,0x26,0xF2,0xFC,0x17,0x0F,0x69,0x46,0x6A,
+ 0x74,0xDE,0xFD,0x8D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+29*6]; }
+ _EC_SECG_PRIME_224K1 = {
+ { NID_X9_62_prime_field,0,29,1 },
+ { /* no seed */
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xE5,0x6D,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x05,
+ 0x00,0xA1,0x45,0x5B,0x33,0x4D,0xF0,0x99,0xDF,0x30, /* x */
+ 0xFC,0x28,0xA1,0x69,0xA4,0x67,0xE9,0xE4,0x70,0x75,
+ 0xA9,0x0F,0x7E,0x65,0x0E,0xB6,0xB7,0xA4,0x5C,
+ 0x00,0x7e,0x08,0x9f,0xed,0x7f,0xba,0x34,0x42,0x82, /* y */
+ 0xca,0xfb,0xd6,0xf7,0xe3,0x19,0xf7,0xc0,0xb0,0xbd,
+ 0x59,0xe2,0xca,0x4b,0xdb,0x55,0x6d,0x61,0xa5,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x01,0xDC,0xE8,0xD2,0xEC,0x61,
+ 0x84,0xCA,0xF0,0xA9,0x71,0x76,0x9F,0xB1,0xF7 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+32*6]; }
+ _EC_SECG_PRIME_256K1 = {
+ { NID_X9_62_prime_field,0,32,1 },
+ { /* no seed */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,
+ 0xFC,0x2F,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x07,
+ 0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,0x55,0xA0, /* x */
+ 0x62,0x95,0xCE,0x87,0x0B,0x07,0x02,0x9B,0xFC,0xDB,
+ 0x2D,0xCE,0x28,0xD9,0x59,0xF2,0x81,0x5B,0x16,0xF8,
+ 0x17,0x98,
+ 0x48,0x3a,0xda,0x77,0x26,0xa3,0xc4,0x65,0x5d,0xa4, /* y */
+ 0xfb,0xfc,0x0e,0x11,0x08,0xa8,0xfd,0x17,0xb4,0x48,
+ 0xa6,0x85,0x54,0x19,0x9c,0x47,0xd0,0x8f,0xfb,0x10,
+ 0xd4,0xb8,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xBA,0xAE,0xDC,0xE6,
+ 0xAF,0x48,0xA0,0x3B,0xBF,0xD2,0x5E,0x8C,0xD0,0x36,
+ 0x41,0x41 }
+ };
+
+/* some wap/wtls curves */
+static const struct { EC_CURVE_DATA h; unsigned char data[0+15*6]; }
+ _EC_WTLS_8 = {
+ { NID_X9_62_prime_field,0,15,1 },
+ { /* no seed */
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFD,0xE7,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x03,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* x */
+ 0x00,0x00,0x00,0x00,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* y */
+ 0x00,0x00,0x00,0x00,0x02,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0xEC,0xEA, /* order */
+ 0x55,0x1A,0xD8,0x37,0xE9 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+21*6]; }
+ _EC_WTLS_9 = {
+ { NID_X9_62_prime_field,0,21,1 },
+ { /* no seed */
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFC,0x80,
+ 0x8F,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x03,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* x */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* y */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x02,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x01,0xCD,0xC9,0x8A,0xE0,0xE2,0xDE,0x57,0x4A,0xBF,
+ 0x33 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+28*6]; }
+ _EC_WTLS_12 = {
+ { NID_X9_62_prime_field,0,28,1 },
+ { /* no seed */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* p */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* a */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
+ 0xB4,0x05,0x0A,0x85,0x0C,0x04,0xB3,0xAB,0xF5,0x41, /* b */
+ 0x32,0x56,0x50,0x44,0xB0,0xB7,0xD7,0xBF,0xD8,0xBA,
+ 0x27,0x0B,0x39,0x43,0x23,0x55,0xFF,0xB4,
+ 0xB7,0x0E,0x0C,0xBD,0x6B,0xB4,0xBF,0x7F,0x32,0x13, /* x */
+ 0x90,0xB9,0x4A,0x03,0xC1,0xD3,0x56,0xC2,0x11,0x22,
+ 0x34,0x32,0x80,0xD6,0x11,0x5C,0x1D,0x21,
+ 0xbd,0x37,0x63,0x88,0xb5,0xf7,0x23,0xfb,0x4c,0x22, /* y */
+ 0xdf,0xe6,0xcd,0x43,0x75,0xa0,0x5a,0x07,0x47,0x64,
+ 0x44,0xd5,0x81,0x99,0x85,0x00,0x7e,0x34,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0x16,0xA2,0xE0,0xB8,0xF0,0x3E,
+ 0x13,0xDD,0x29,0x45,0x5C,0x5C,0x2A,0x3D }
+ };
+
+/* characteristic two curves */
+static const struct { EC_CURVE_DATA h; unsigned char data[20+15*6]; }
+ _EC_SECG_CHAR2_113R1 = {
+ { NID_X9_62_characteristic_two_field,20,15,2 },
+ { 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87, /* seed */
+ 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x02,0x01,
+ 0x00,0x30,0x88,0x25,0x0C,0xA6,0xE7,0xC7,0xFE,0x64, /* a */
+ 0x9C,0xE8,0x58,0x20,0xF7,
+ 0x00,0xE8,0xBE,0xE4,0xD3,0xE2,0x26,0x07,0x44,0x18, /* b */
+ 0x8B,0xE0,0xE9,0xC7,0x23,
+ 0x00,0x9D,0x73,0x61,0x6F,0x35,0xF4,0xAB,0x14,0x07, /* x */
+ 0xD7,0x35,0x62,0xC1,0x0F,
+ 0x00,0xA5,0x28,0x30,0x27,0x79,0x58,0xEE,0x84,0xD1, /* y */
+ 0x31,0x5E,0xD3,0x18,0x86,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xD9,0xCC, /* order */
+ 0xEC,0x8A,0x39,0xE5,0x6F }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+15*6]; }
+ _EC_SECG_CHAR2_113R2 = {
+ { NID_X9_62_characteristic_two_field,20,15,2 },
+ { 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE, /* seed */
+ 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x02,0x01,
+ 0x00,0x68,0x99,0x18,0xDB,0xEC,0x7E,0x5A,0x0D,0xD6, /* a */
+ 0xDF,0xC0,0xAA,0x55,0xC7,
+ 0x00,0x95,0xE9,0xA9,0xEC,0x9B,0x29,0x7B,0xD4,0xBF, /* b */
+ 0x36,0xE0,0x59,0x18,0x4F,
+ 0x01,0xA5,0x7A,0x6A,0x7B,0x26,0xCA,0x5E,0xF5,0x2F, /* x */
+ 0xCD,0xB8,0x16,0x47,0x97,
+ 0x00,0xB3,0xAD,0xC9,0x4E,0xD1,0xFE,0x67,0x4C,0x06, /* y */
+ 0xE6,0x95,0xBA,0xBA,0x1D,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x08,0x78, /* order */
+ 0x9B,0x24,0x96,0xAF,0x93 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+17*6]; }
+ _EC_SECG_CHAR2_131R1 = {
+ { NID_X9_62_characteristic_two_field,20,17,2 },
+ { 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98, /* seed */
+ 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x01,0x0D,
+ 0x07,0xA1,0x1B,0x09,0xA7,0x6B,0x56,0x21,0x44,0x41, /* a */
+ 0x8F,0xF3,0xFF,0x8C,0x25,0x70,0xB8,
+ 0x02,0x17,0xC0,0x56,0x10,0x88,0x4B,0x63,0xB9,0xC6, /* b */
+ 0xC7,0x29,0x16,0x78,0xF9,0xD3,0x41,
+ 0x00,0x81,0xBA,0xF9,0x1F,0xDF,0x98,0x33,0xC4,0x0F, /* x */
+ 0x9C,0x18,0x13,0x43,0x63,0x83,0x99,
+ 0x07,0x8C,0x6E,0x7E,0xA3,0x8C,0x00,0x1F,0x73,0xC8, /* y */
+ 0x13,0x4B,0x1B,0x4E,0xF9,0xE1,0x50,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x31, /* order */
+ 0x23,0x95,0x3A,0x94,0x64,0xB5,0x4D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+17*6]; }
+ _EC_SECG_CHAR2_131R2 = {
+ { NID_X9_62_characteristic_two_field,20,17,2 },
+ { 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x01,0x0D,
+ 0x03,0xE5,0xA8,0x89,0x19,0xD7,0xCA,0xFC,0xBF,0x41, /* a */
+ 0x5F,0x07,0xC2,0x17,0x65,0x73,0xB2,
+ 0x04,0xB8,0x26,0x6A,0x46,0xC5,0x56,0x57,0xAC,0x73, /* b */
+ 0x4C,0xE3,0x8F,0x01,0x8F,0x21,0x92,
+ 0x03,0x56,0xDC,0xD8,0xF2,0xF9,0x50,0x31,0xAD,0x65, /* x */
+ 0x2D,0x23,0x95,0x1B,0xB3,0x66,0xA8,
+ 0x06,0x48,0xF0,0x6D,0x86,0x79,0x40,0xA5,0x36,0x6D, /* y */
+ 0x9E,0x26,0x5D,0xE9,0xEB,0x24,0x0F,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x69, /* order */
+ 0x54,0xA2,0x33,0x04,0x9B,0xA9,0x8F }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+21*6]; }
+ _EC_NIST_CHAR2_163K = {
+ { NID_X9_62_characteristic_two_field,0,21,2 },
+ { /* no seed */
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0xC9,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x01,
+ 0x02,0xFE,0x13,0xC0,0x53,0x7B,0xBC,0x11,0xAC,0xAA, /* x */
+ 0x07,0xD7,0x93,0xDE,0x4E,0x6D,0x5E,0x5C,0x94,0xEE,
+ 0xE8,
+ 0x02,0x89,0x07,0x0F,0xB0,0x5D,0x38,0xFF,0x58,0x32, /* y */
+ 0x1F,0x2E,0x80,0x05,0x36,0xD5,0x38,0xCC,0xDA,0xA3,
+ 0xD9,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x02,0x01,0x08,0xA2,0xE0,0xCC,0x0D,0x99,0xF8,0xA5,
+ 0xEF }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+21*6]; }
+ _EC_SECG_CHAR2_163R1 = {
+ { NID_X9_62_characteristic_two_field,0,21,2 },
+ { /* no seed */
+#if 0
+/* The algorithm used to derive the curve parameters from
+ * the seed used here is slightly different than the
+ * algorithm described in X9.62 . */
+ 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67,
+ 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C,
+#endif
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0xC9,
+ 0x07,0xB6,0x88,0x2C,0xAA,0xEF,0xA8,0x4F,0x95,0x54, /* a */
+ 0xFF,0x84,0x28,0xBD,0x88,0xE2,0x46,0xD2,0x78,0x2A,
+ 0xE2,
+ 0x07,0x13,0x61,0x2D,0xCD,0xDC,0xB4,0x0A,0xAB,0x94, /* b */
+ 0x6B,0xDA,0x29,0xCA,0x91,0xF7,0x3A,0xF9,0x58,0xAF,
+ 0xD9,
+ 0x03,0x69,0x97,0x96,0x97,0xAB,0x43,0x89,0x77,0x89, /* x */
+ 0x56,0x67,0x89,0x56,0x7F,0x78,0x7A,0x78,0x76,0xA6,
+ 0x54,
+ 0x00,0x43,0x5E,0xDB,0x42,0xEF,0xAF,0xB2,0x98,0x9D, /* y */
+ 0x51,0xFE,0xFC,0xE3,0xC8,0x09,0x88,0xF4,0x1F,0xF8,
+ 0x83,
+ 0x03,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0x48,0xAA,0xB6,0x89,0xC2,0x9C,0xA7,0x10,0x27,
+ 0x9B }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+21*6]; }
+ _EC_NIST_CHAR2_163B = {
+ { NID_X9_62_characteristic_two_field,0,21,2 },
+ { /* no seed */
+#if 0
+/* The seed here was used to created the curve parameters in normal
+ * basis representation (and not the polynomial representation used here) */
+ 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12,
+ 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68,
+#endif
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0xC9,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x01,
+ 0x02,0x0A,0x60,0x19,0x07,0xB8,0xC9,0x53,0xCA,0x14, /* b */
+ 0x81,0xEB,0x10,0x51,0x2F,0x78,0x74,0x4A,0x32,0x05,
+ 0xFD,
+ 0x03,0xF0,0xEB,0xA1,0x62,0x86,0xA2,0xD5,0x7E,0xA0, /* x */
+ 0x99,0x11,0x68,0xD4,0x99,0x46,0x37,0xE8,0x34,0x3E,
+ 0x36,
+ 0x00,0xD5,0x1F,0xBC,0x6C,0x71,0xA0,0x09,0x4F,0xA2, /* y */
+ 0xCD,0xD5,0x45,0xB1,0x1C,0x5C,0x0C,0x79,0x73,0x24,
+ 0xF1,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x02,0x92,0xFE,0x77,0xE7,0x0C,0x12,0xA4,0x23,0x4C,
+ 0x33 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+25*6]; }
+ _EC_SECG_CHAR2_193R1 = {
+ { NID_X9_62_characteristic_two_field,20,25,2 },
+ { 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75, /* seed */
+ 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x80,0x01,
+ 0x00,0x17,0x85,0x8F,0xEB,0x7A,0x98,0x97,0x51,0x69, /* a */
+ 0xE1,0x71,0xF7,0x7B,0x40,0x87,0xDE,0x09,0x8A,0xC8,
+ 0xA9,0x11,0xDF,0x7B,0x01,
+ 0x00,0xFD,0xFB,0x49,0xBF,0xE6,0xC3,0xA8,0x9F,0xAC, /* b */
+ 0xAD,0xAA,0x7A,0x1E,0x5B,0xBC,0x7C,0xC1,0xC2,0xE5,
+ 0xD8,0x31,0x47,0x88,0x14,
+ 0x01,0xF4,0x81,0xBC,0x5F,0x0F,0xF8,0x4A,0x74,0xAD, /* x */
+ 0x6C,0xDF,0x6F,0xDE,0xF4,0xBF,0x61,0x79,0x62,0x53,
+ 0x72,0xD8,0xC0,0xC5,0xE1,
+ 0x00,0x25,0xE3,0x99,0xF2,0x90,0x37,0x12,0xCC,0xF3, /* y */
+ 0xEA,0x9E,0x3A,0x1A,0xD1,0x7F,0xB0,0xB3,0x20,0x1B,
+ 0x6A,0xF7,0xCE,0x1B,0x05,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0xC7,0xF3,0x4A,0x77,0x8F,0x44,0x3A,
+ 0xCC,0x92,0x0E,0xBA,0x49 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+25*6]; }
+ _EC_SECG_CHAR2_193R2 = {
+ { NID_X9_62_characteristic_two_field,20,25,2 },
+ { 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15, /* seed */
+ 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x80,0x01,
+ 0x01,0x63,0xF3,0x5A,0x51,0x37,0xC2,0xCE,0x3E,0xA6, /* a */
+ 0xED,0x86,0x67,0x19,0x0B,0x0B,0xC4,0x3E,0xCD,0x69,
+ 0x97,0x77,0x02,0x70,0x9B,
+ 0x00,0xC9,0xBB,0x9E,0x89,0x27,0xD4,0xD6,0x4C,0x37, /* b */
+ 0x7E,0x2A,0xB2,0x85,0x6A,0x5B,0x16,0xE3,0xEF,0xB7,
+ 0xF6,0x1D,0x43,0x16,0xAE,
+ 0x00,0xD9,0xB6,0x7D,0x19,0x2E,0x03,0x67,0xC8,0x03, /* x */
+ 0xF3,0x9E,0x1A,0x7E,0x82,0xCA,0x14,0xA6,0x51,0x35,
+ 0x0A,0xAE,0x61,0x7E,0x8F,
+ 0x01,0xCE,0x94,0x33,0x56,0x07,0xC3,0x04,0xAC,0x29, /* y */
+ 0xE7,0xDE,0xFB,0xD9,0xCA,0x01,0xF5,0x96,0xF9,0x27,
+ 0x22,0x4C,0xDE,0xCF,0x6C,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x01,0x5A,0xAB,0x56,0x1B,0x00,0x54,0x13,
+ 0xCC,0xD4,0xEE,0x99,0xD5 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+30*6]; }
+ _EC_NIST_CHAR2_233K = {
+ { NID_X9_62_characteristic_two_field,0,30,4 },
+ { /* no seed */
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x01,0x72,0x32,0xBA,0x85,0x3A,0x7E,0x73,0x1A,0xF1, /* x */
+ 0x29,0xF2,0x2F,0xF4,0x14,0x95,0x63,0xA4,0x19,0xC2,
+ 0x6B,0xF5,0x0A,0x4C,0x9D,0x6E,0xEF,0xAD,0x61,0x26,
+
+ 0x01,0xDB,0x53,0x7D,0xEC,0xE8,0x19,0xB7,0xF7,0x0F, /* y */
+ 0x55,0x5A,0x67,0xC4,0x27,0xA8,0xCD,0x9B,0xF1,0x8A,
+ 0xEB,0x9B,0x56,0xE0,0xC1,0x10,0x56,0xFA,0xE6,0xA3,
+
+ 0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x06,0x9D,0x5B,0xB9,0x15,
+ 0xBC,0xD4,0x6E,0xFB,0x1A,0xD5,0xF1,0x73,0xAB,0xDF }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_NIST_CHAR2_233B = {
+ { NID_X9_62_characteristic_two_field,20,30,2 },
+ { 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1, /* seed */
+ 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x00,0x66,0x64,0x7E,0xDE,0x6C,0x33,0x2C,0x7F,0x8C, /* b */
+ 0x09,0x23,0xBB,0x58,0x21,0x3B,0x33,0x3B,0x20,0xE9,
+ 0xCE,0x42,0x81,0xFE,0x11,0x5F,0x7D,0x8F,0x90,0xAD,
+
+ 0x00,0xFA,0xC9,0xDF,0xCB,0xAC,0x83,0x13,0xBB,0x21, /* x */
+ 0x39,0xF1,0xBB,0x75,0x5F,0xEF,0x65,0xBC,0x39,0x1F,
+ 0x8B,0x36,0xF8,0xF8,0xEB,0x73,0x71,0xFD,0x55,0x8B,
+
+ 0x01,0x00,0x6A,0x08,0xA4,0x19,0x03,0x35,0x06,0x78, /* y */
+ 0xE5,0x85,0x28,0xBE,0xBF,0x8A,0x0B,0xEF,0xF8,0x67,
+ 0xA7,0xCA,0x36,0x71,0x6F,0x7E,0x01,0xF8,0x10,0x52,
+
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x13,0xE9,0x74,0xE7,0x2F,
+ 0x8A,0x69,0x22,0x03,0x1D,0x26,0x03,0xCF,0xE0,0xD7 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+30*6]; }
+ _EC_SECG_CHAR2_239K1 = {
+ { NID_X9_62_characteristic_two_field,0,30,4 },
+ { /* no seed */
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x29,0xA0,0xB6,0xA8,0x87,0xA9,0x83,0xE9,0x73,0x09, /* x */
+ 0x88,0xA6,0x87,0x27,0xA8,0xB2,0xD1,0x26,0xC4,0x4C,
+ 0xC2,0xCC,0x7B,0x2A,0x65,0x55,0x19,0x30,0x35,0xDC,
+
+ 0x76,0x31,0x08,0x04,0xF1,0x2E,0x54,0x9B,0xDB,0x01, /* y */
+ 0x1C,0x10,0x30,0x89,0xE7,0x35,0x10,0xAC,0xB2,0x75,
+ 0xFC,0x31,0x2A,0x5D,0xC6,0xB7,0x65,0x53,0xF0,0xCA,
+
+ 0x20,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x5A,0x79,0xFE,0xC6,0x7C,
+ 0xB6,0xE9,0x1F,0x1C,0x1D,0xA8,0x00,0xE4,0x78,0xA5 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+36*6]; }
+ _EC_NIST_CHAR2_283K = {
+ { NID_X9_62_characteristic_two_field,0,36,4 },
+ { /* no seed */
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x10,0xA1,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x01,
+ 0x05,0x03,0x21,0x3F,0x78,0xCA,0x44,0x88,0x3F,0x1A, /* x */
+ 0x3B,0x81,0x62,0xF1,0x88,0xE5,0x53,0xCD,0x26,0x5F,
+ 0x23,0xC1,0x56,0x7A,0x16,0x87,0x69,0x13,0xB0,0xC2,
+ 0xAC,0x24,0x58,0x49,0x28,0x36,
+ 0x01,0xCC,0xDA,0x38,0x0F,0x1C,0x9E,0x31,0x8D,0x90, /* y */
+ 0xF9,0x5D,0x07,0xE5,0x42,0x6F,0xE8,0x7E,0x45,0xC0,
+ 0xE8,0x18,0x46,0x98,0xE4,0x59,0x62,0x36,0x4E,0x34,
+ 0x11,0x61,0x77,0xDD,0x22,0x59,
+ 0x01,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xE9,0xAE,
+ 0x2E,0xD0,0x75,0x77,0x26,0x5D,0xFF,0x7F,0x94,0x45,
+ 0x1E,0x06,0x1E,0x16,0x3C,0x61 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+36*6]; }
+ _EC_NIST_CHAR2_283B = {
+ { NID_X9_62_characteristic_two_field,20,36,2 },
+ { 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D, /* no seed */
+ 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x10,0xA1,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x01,
+ 0x02,0x7B,0x68,0x0A,0xC8,0xB8,0x59,0x6D,0xA5,0xA4, /* b */
+ 0xAF,0x8A,0x19,0xA0,0x30,0x3F,0xCA,0x97,0xFD,0x76,
+ 0x45,0x30,0x9F,0xA2,0xA5,0x81,0x48,0x5A,0xF6,0x26,
+ 0x3E,0x31,0x3B,0x79,0xA2,0xF5,
+ 0x05,0xF9,0x39,0x25,0x8D,0xB7,0xDD,0x90,0xE1,0x93, /* x */
+ 0x4F,0x8C,0x70,0xB0,0xDF,0xEC,0x2E,0xED,0x25,0xB8,
+ 0x55,0x7E,0xAC,0x9C,0x80,0xE2,0xE1,0x98,0xF8,0xCD,
+ 0xBE,0xCD,0x86,0xB1,0x20,0x53,
+ 0x03,0x67,0x68,0x54,0xFE,0x24,0x14,0x1C,0xB9,0x8F, /* y */
+ 0xE6,0xD4,0xB2,0x0D,0x02,0xB4,0x51,0x6F,0xF7,0x02,
+ 0x35,0x0E,0xDD,0xB0,0x82,0x67,0x79,0xC8,0x13,0xF0,
+ 0xDF,0x45,0xBE,0x81,0x12,0xF4,
+ 0x03,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xEF,0x90,
+ 0x39,0x96,0x60,0xFC,0x93,0x8A,0x90,0x16,0x5B,0x04,
+ 0x2A,0x7C,0xEF,0xAD,0xB3,0x07 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+52*6]; }
+ _EC_NIST_CHAR2_409K = {
+ { NID_X9_62_characteristic_two_field,0,52,4 },
+ { /* no seed */
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x00,0x60,0xF0,0x5F,0x65,0x8F,0x49,0xC1,0xAD,0x3A, /* x */
+ 0xB1,0x89,0x0F,0x71,0x84,0x21,0x0E,0xFD,0x09,0x87,
+ 0xE3,0x07,0xC8,0x4C,0x27,0xAC,0xCF,0xB8,0xF9,0xF6,
+ 0x7C,0xC2,0xC4,0x60,0x18,0x9E,0xB5,0xAA,0xAA,0x62,
+ 0xEE,0x22,0x2E,0xB1,0xB3,0x55,0x40,0xCF,0xE9,0x02,
+ 0x37,0x46,
+ 0x01,0xE3,0x69,0x05,0x0B,0x7C,0x4E,0x42,0xAC,0xBA, /* y */
+ 0x1D,0xAC,0xBF,0x04,0x29,0x9C,0x34,0x60,0x78,0x2F,
+ 0x91,0x8E,0xA4,0x27,0xE6,0x32,0x51,0x65,0xE9,0xEA,
+ 0x10,0xE3,0xDA,0x5F,0x6C,0x42,0xE9,0xC5,0x52,0x15,
+ 0xAA,0x9C,0xA2,0x7A,0x58,0x63,0xEC,0x48,0xD8,0xE0,
+ 0x28,0x6B,
+ 0x00,0x7F,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0x5F,0x83,0xB2,
+ 0xD4,0xEA,0x20,0x40,0x0E,0xC4,0x55,0x7D,0x5E,0xD3,
+ 0xE3,0xE7,0xCA,0x5B,0x4B,0x5C,0x83,0xB8,0xE0,0x1E,
+ 0x5F,0xCF }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+52*6]; }
+ _EC_NIST_CHAR2_409B = {
+ { NID_X9_62_characteristic_two_field,20,52,2 },
+ { 0x40,0x99,0xB5,0xA4,0x57,0xF9,0xD6,0x9F,0x79,0x21, /* seed */
+ 0x3D,0x09,0x4C,0x4B,0xCD,0x4D,0x42,0x62,0x21,0x0B,
+
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x00,0x21,0xA5,0xC2,0xC8,0xEE,0x9F,0xEB,0x5C,0x4B, /* b */
+ 0x9A,0x75,0x3B,0x7B,0x47,0x6B,0x7F,0xD6,0x42,0x2E,
+ 0xF1,0xF3,0xDD,0x67,0x47,0x61,0xFA,0x99,0xD6,0xAC,
+ 0x27,0xC8,0xA9,0xA1,0x97,0xB2,0x72,0x82,0x2F,0x6C,
+ 0xD5,0x7A,0x55,0xAA,0x4F,0x50,0xAE,0x31,0x7B,0x13,
+ 0x54,0x5F,
+ 0x01,0x5D,0x48,0x60,0xD0,0x88,0xDD,0xB3,0x49,0x6B, /* x */
+ 0x0C,0x60,0x64,0x75,0x62,0x60,0x44,0x1C,0xDE,0x4A,
+ 0xF1,0x77,0x1D,0x4D,0xB0,0x1F,0xFE,0x5B,0x34,0xE5,
+ 0x97,0x03,0xDC,0x25,0x5A,0x86,0x8A,0x11,0x80,0x51,
+ 0x56,0x03,0xAE,0xAB,0x60,0x79,0x4E,0x54,0xBB,0x79,
+ 0x96,0xA7,
+ 0x00,0x61,0xB1,0xCF,0xAB,0x6B,0xE5,0xF3,0x2B,0xBF, /* y */
+ 0xA7,0x83,0x24,0xED,0x10,0x6A,0x76,0x36,0xB9,0xC5,
+ 0xA7,0xBD,0x19,0x8D,0x01,0x58,0xAA,0x4F,0x54,0x88,
+ 0xD0,0x8F,0x38,0x51,0x4F,0x1F,0xDF,0x4B,0x4F,0x40,
+ 0xD2,0x18,0x1B,0x36,0x81,0xC3,0x64,0xBA,0x02,0x73,
+ 0xC7,0x06,
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x01,0xE2,0xAA,0xD6,
+ 0xA6,0x12,0xF3,0x33,0x07,0xBE,0x5F,0xA4,0x7C,0x3C,
+ 0x9E,0x05,0x2F,0x83,0x81,0x64,0xCD,0x37,0xD9,0xA2,
+ 0x11,0x73 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+72*6]; }
+ _EC_NIST_CHAR2_571K = {
+ { NID_X9_62_characteristic_two_field,0,72,4 },
+ { /* no seed */
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x04,0x25,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x02,0x6E,0xB7,0xA8,0x59,0x92,0x3F,0xBC,0x82,0x18, /* x */
+ 0x96,0x31,0xF8,0x10,0x3F,0xE4,0xAC,0x9C,0xA2,0x97,
+ 0x00,0x12,0xD5,0xD4,0x60,0x24,0x80,0x48,0x01,0x84,
+ 0x1C,0xA4,0x43,0x70,0x95,0x84,0x93,0xB2,0x05,0xE6,
+ 0x47,0xDA,0x30,0x4D,0xB4,0xCE,0xB0,0x8C,0xBB,0xD1,
+ 0xBA,0x39,0x49,0x47,0x76,0xFB,0x98,0x8B,0x47,0x17,
+ 0x4D,0xCA,0x88,0xC7,0xE2,0x94,0x52,0x83,0xA0,0x1C,
+ 0x89,0x72,
+ 0x03,0x49,0xDC,0x80,0x7F,0x4F,0xBF,0x37,0x4F,0x4A, /* y */
+ 0xEA,0xDE,0x3B,0xCA,0x95,0x31,0x4D,0xD5,0x8C,0xEC,
+ 0x9F,0x30,0x7A,0x54,0xFF,0xC6,0x1E,0xFC,0x00,0x6D,
+ 0x8A,0x2C,0x9D,0x49,0x79,0xC0,0xAC,0x44,0xAE,0xA7,
+ 0x4F,0xBE,0xBB,0xB9,0xF7,0x72,0xAE,0xDC,0xB6,0x20,
+ 0xB0,0x1A,0x7B,0xA7,0xAF,0x1B,0x32,0x04,0x30,0xC8,
+ 0x59,0x19,0x84,0xF6,0x01,0xCD,0x4C,0x14,0x3E,0xF1,
+ 0xC7,0xA3,
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x13,0x18,0x50,0xE1,
+ 0xF1,0x9A,0x63,0xE4,0xB3,0x91,0xA8,0xDB,0x91,0x7F,
+ 0x41,0x38,0xB6,0x30,0xD8,0x4B,0xE5,0xD6,0x39,0x38,
+ 0x1E,0x91,0xDE,0xB4,0x5C,0xFE,0x77,0x8F,0x63,0x7C,
+ 0x10,0x01 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+72*6]; }
+ _EC_NIST_CHAR2_571B = {
+ { NID_X9_62_characteristic_two_field,20,72,2 },
+ { 0x2A,0xA0,0x58,0xF7,0x3A,0x0E,0x33,0xAB,0x48,0x6B, /* seed */
+ 0x0F,0x61,0x04,0x10,0xC5,0x3A,0x7F,0x13,0x23,0x10,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x04,0x25,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x01,
+ 0x02,0xF4,0x0E,0x7E,0x22,0x21,0xF2,0x95,0xDE,0x29, /* b */
+ 0x71,0x17,0xB7,0xF3,0xD6,0x2F,0x5C,0x6A,0x97,0xFF,
+ 0xCB,0x8C,0xEF,0xF1,0xCD,0x6B,0xA8,0xCE,0x4A,0x9A,
+ 0x18,0xAD,0x84,0xFF,0xAB,0xBD,0x8E,0xFA,0x59,0x33,
+ 0x2B,0xE7,0xAD,0x67,0x56,0xA6,0x6E,0x29,0x4A,0xFD,
+ 0x18,0x5A,0x78,0xFF,0x12,0xAA,0x52,0x0E,0x4D,0xE7,
+ 0x39,0xBA,0xCA,0x0C,0x7F,0xFE,0xFF,0x7F,0x29,0x55,
+ 0x72,0x7A,
+ 0x03,0x03,0x00,0x1D,0x34,0xB8,0x56,0x29,0x6C,0x16, /* x */
+ 0xC0,0xD4,0x0D,0x3C,0xD7,0x75,0x0A,0x93,0xD1,0xD2,
+ 0x95,0x5F,0xA8,0x0A,0xA5,0xF4,0x0F,0xC8,0xDB,0x7B,
+ 0x2A,0xBD,0xBD,0xE5,0x39,0x50,0xF4,0xC0,0xD2,0x93,
+ 0xCD,0xD7,0x11,0xA3,0x5B,0x67,0xFB,0x14,0x99,0xAE,
+ 0x60,0x03,0x86,0x14,0xF1,0x39,0x4A,0xBF,0xA3,0xB4,
+ 0xC8,0x50,0xD9,0x27,0xE1,0xE7,0x76,0x9C,0x8E,0xEC,
+ 0x2D,0x19,
+ 0x03,0x7B,0xF2,0x73,0x42,0xDA,0x63,0x9B,0x6D,0xCC, /* y */
+ 0xFF,0xFE,0xB7,0x3D,0x69,0xD7,0x8C,0x6C,0x27,0xA6,
+ 0x00,0x9C,0xBB,0xCA,0x19,0x80,0xF8,0x53,0x39,0x21,
+ 0xE8,0xA6,0x84,0x42,0x3E,0x43,0xBA,0xB0,0x8A,0x57,
+ 0x62,0x91,0xAF,0x8F,0x46,0x1B,0xB2,0xA8,0xB3,0x53,
+ 0x1D,0x2F,0x04,0x85,0xC1,0x9B,0x16,0xE2,0xF1,0x51,
+ 0x6E,0x23,0xDD,0x3C,0x1A,0x48,0x27,0xAF,0x1B,0x8A,
+ 0xC1,0x5B,
+ 0x03,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+ 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xE6,0x61,0xCE,0x18,
+ 0xFF,0x55,0x98,0x73,0x08,0x05,0x9B,0x18,0x68,0x23,
+ 0x85,0x1E,0xC7,0xDD,0x9C,0xA1,0x16,0x1D,0xE9,0x3D,
+ 0x51,0x74,0xD6,0x6E,0x83,0x82,0xE9,0xBB,0x2F,0xE8,
+ 0x4E,0x47 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+21*6]; }
+ _EC_X9_62_CHAR2_163V1 = {
+ { NID_X9_62_characteristic_two_field,20,21,2 },
+ { 0xD2,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE,
+ 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x54, /* seed */
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+ 0x07,
+ 0x07,0x25,0x46,0xB5,0x43,0x52,0x34,0xA4,0x22,0xE0, /* a */
+ 0x78,0x96,0x75,0xF4,0x32,0xC8,0x94,0x35,0xDE,0x52,
+ 0x42,
+ 0x00,0xC9,0x51,0x7D,0x06,0xD5,0x24,0x0D,0x3C,0xFF, /* b */
+ 0x38,0xC7,0x4B,0x20,0xB6,0xCD,0x4D,0x6F,0x9D,0xD4,
+ 0xD9,
+ 0x07,0xAF,0x69,0x98,0x95,0x46,0x10,0x3D,0x79,0x32, /* x */
+ 0x9F,0xCC,0x3D,0x74,0x88,0x0F,0x33,0xBB,0xE8,0x03,
+ 0xCB,
+ 0x01,0xEC,0x23,0x21,0x1B,0x59,0x66,0xAD,0xEA,0x1D, /* y */
+ 0x3F,0x87,0xF7,0xEA,0x58,0x48,0xAE,0xF0,0xB7,0xCA,
+ 0x9F,
+ 0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x01,0xE6,0x0F,0xC8,0x82,0x1C,0xC7,0x4D,0xAE,0xAF,
+ 0xC1 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+21*6]; }
+ _EC_X9_62_CHAR2_163V2 = {
+ { NID_X9_62_characteristic_two_field,20,21,2 },
+ { 0x53,0x81,0x4C,0x05,0x0D,0x44,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x58,0x0C,0xA4,0xE2,0x9F,0xFD,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+ 0x07,
+ 0x01,0x08,0xB3,0x9E,0x77,0xC4,0xB1,0x08,0xBE,0xD9, /* a */
+ 0x81,0xED,0x0E,0x89,0x0E,0x11,0x7C,0x51,0x1C,0xF0,
+ 0x72,
+ 0x06,0x67,0xAC,0xEB,0x38,0xAF,0x4E,0x48,0x8C,0x40, /* b */
+ 0x74,0x33,0xFF,0xAE,0x4F,0x1C,0x81,0x16,0x38,0xDF,
+ 0x20,
+ 0x00,0x24,0x26,0x6E,0x4E,0xB5,0x10,0x6D,0x0A,0x96, /* x */
+ 0x4D,0x92,0xC4,0x86,0x0E,0x26,0x71,0xDB,0x9B,0x6C,
+ 0xC5,
+ 0x07,0x9F,0x68,0x4D,0xDF,0x66,0x84,0xC5,0xCD,0x25, /* y */
+ 0x8B,0x38,0x90,0x02,0x1B,0x23,0x86,0xDF,0xD1,0x9F,
+ 0xC5,
+ 0x03,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFD,0xF6,0x4D,0xE1,0x15,0x1A,0xDB,0xB7,0x8F,0x10,
+ 0xA7 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+21*6]; }
+ _EC_X9_62_CHAR2_163V3 = {
+ { NID_X9_62_characteristic_two_field,20,21,2 },
+ { 0x50,0xCB,0xF1,0xD9,0x5C,0xA9,0x4D,0x69,0x6E,0x67, /* seed */
+ 0x68,0x75,0x61,0x51,0x75,0xF1,0x6A,0x36,0xA3,0xB8,
+
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+ 0x07,
+ 0x07,0xA5,0x26,0xC6,0x3D,0x3E,0x25,0xA2,0x56,0xA0, /* a */
+ 0x07,0x69,0x9F,0x54,0x47,0xE3,0x2A,0xE4,0x56,0xB5,
+ 0x0E,
+ 0x03,0xF7,0x06,0x17,0x98,0xEB,0x99,0xE2,0x38,0xFD, /* b */
+ 0x6F,0x1B,0xF9,0x5B,0x48,0xFE,0xEB,0x48,0x54,0x25,
+ 0x2B,
+ 0x02,0xF9,0xF8,0x7B,0x7C,0x57,0x4D,0x0B,0xDE,0xCF, /* x */
+ 0x8A,0x22,0xE6,0x52,0x47,0x75,0xF9,0x8C,0xDE,0xBD,
+ 0xCB,
+ 0x05,0xB9,0x35,0x59,0x0C,0x15,0x5E,0x17,0xEA,0x48, /* y */
+ 0xEB,0x3F,0xF3,0x71,0x8B,0x89,0x3D,0xF5,0x9A,0x05,
+ 0xD0,
+ 0x03,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFE,0x1A,0xEE,0x14,0x0F,0x11,0x0A,0xFF,0x96,0x13,
+ 0x09 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+23*6]; }
+ _EC_X9_62_CHAR2_176V1 = {
+ { NID_X9_62_characteristic_two_field,0,23,0xFF6E },
+ { /* no seed */
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x00,0x00,
+ 0x00,0x00,0x07,
+ 0x00,0xE4,0xE6,0xDB,0x29,0x95,0x06,0x5C,0x40,0x7D, /* a */
+ 0x9D,0x39,0xB8,0xD0,0x96,0x7B,0x96,0x70,0x4B,0xA8,
+ 0xE9,0xC9,0x0B,
+ 0x00,0x5D,0xDA,0x47,0x0A,0xBE,0x64,0x14,0xDE,0x8E, /* b */
+ 0xC1,0x33,0xAE,0x28,0xE9,0xBB,0xD7,0xFC,0xEC,0x0A,
+ 0xE0,0xFF,0xF2,
+ 0x00,0x8D,0x16,0xC2,0x86,0x67,0x98,0xB6,0x00,0xF9, /* x */
+ 0xF0,0x8B,0xB4,0xA8,0xE8,0x60,0xF3,0x29,0x8C,0xE0,
+ 0x4A,0x57,0x98,
+ 0x00,0x6F,0xA4,0x53,0x9C,0x2D,0xAD,0xDD,0xD6,0xBA, /* y */
+ 0xB5,0x16,0x7D,0x61,0xB4,0x36,0xE1,0xD9,0x2B,0xB1,
+ 0x6A,0x56,0x2C,
+ 0x00,0x00,0x01,0x00,0x92,0x53,0x73,0x97,0xEC,0xA4, /* order */
+ 0xF6,0x14,0x57,0x99,0xD6,0x2B,0x0A,0x19,0xCE,0x06,
+ 0xFE,0x26,0xAD }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_X9_62_CHAR2_191V1 = {
+ { NID_X9_62_characteristic_two_field,20,24,2 },
+ { 0x4E,0x13,0xCA,0x54,0x27,0x44,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x55,0x2F,0x27,0x9A,0x8C,0x84,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x02,0x01,
+ 0x28,0x66,0x53,0x7B,0x67,0x67,0x52,0x63,0x6A,0x68, /* a */
+ 0xF5,0x65,0x54,0xE1,0x26,0x40,0x27,0x6B,0x64,0x9E,
+ 0xF7,0x52,0x62,0x67,
+ 0x2E,0x45,0xEF,0x57,0x1F,0x00,0x78,0x6F,0x67,0xB0, /* b */
+ 0x08,0x1B,0x94,0x95,0xA3,0xD9,0x54,0x62,0xF5,0xDE,
+ 0x0A,0xA1,0x85,0xEC,
+ 0x36,0xB3,0xDA,0xF8,0xA2,0x32,0x06,0xF9,0xC4,0xF2, /* x */
+ 0x99,0xD7,0xB2,0x1A,0x9C,0x36,0x91,0x37,0xF2,0xC8,
+ 0x4A,0xE1,0xAA,0x0D,
+ 0x76,0x5B,0xE7,0x34,0x33,0xB3,0xF9,0x5E,0x33,0x29, /* y */
+ 0x32,0xE7,0x0E,0xA2,0x45,0xCA,0x24,0x18,0xEA,0x0E,
+ 0xF9,0x80,0x18,0xFB,
+ 0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x04,0xA2,0x0E,0x90,0xC3,0x90,0x67,0xC8,
+ 0x93,0xBB,0xB9,0xA5 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_X9_62_CHAR2_191V2 = {
+ { NID_X9_62_characteristic_two_field,20,24,4 },
+ { 0x08,0x71,0xEF,0x2F,0xEF,0x24,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x58,0xBE,0xE0,0xD9,0x5C,0x15,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x02,0x01,
+ 0x40,0x10,0x28,0x77,0x4D,0x77,0x77,0xC7,0xB7,0x66, /* a */
+ 0x6D,0x13,0x66,0xEA,0x43,0x20,0x71,0x27,0x4F,0x89,
+ 0xFF,0x01,0xE7,0x18,
+ 0x06,0x20,0x04,0x8D,0x28,0xBC,0xBD,0x03,0xB6,0x24, /* b */
+ 0x9C,0x99,0x18,0x2B,0x7C,0x8C,0xD1,0x97,0x00,0xC3,
+ 0x62,0xC4,0x6A,0x01,
+ 0x38,0x09,0xB2,0xB7,0xCC,0x1B,0x28,0xCC,0x5A,0x87, /* x */
+ 0x92,0x6A,0xAD,0x83,0xFD,0x28,0x78,0x9E,0x81,0xE2,
+ 0xC9,0xE3,0xBF,0x10,
+ 0x17,0x43,0x43,0x86,0x62,0x6D,0x14,0xF3,0xDB,0xF0, /* y */
+ 0x17,0x60,0xD9,0x21,0x3A,0x3E,0x1C,0xF3,0x7A,0xEC,
+ 0x43,0x7D,0x66,0x8A,
+ 0x20,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x50,0x50,0x8C,0xB8,0x9F,0x65,0x28,0x24,
+ 0xE0,0x6B,0x81,0x73 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+24*6]; }
+ _EC_X9_62_CHAR2_191V3 = {
+ { NID_X9_62_characteristic_two_field,20,24,6 },
+ { 0xE0,0x53,0x51,0x2D,0xC6,0x84,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x50,0x67,0xAE,0x78,0x6D,0x1F,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x02,0x01,
+ 0x6C,0x01,0x07,0x47,0x56,0x09,0x91,0x22,0x22,0x10, /* a */
+ 0x56,0x91,0x1C,0x77,0xD7,0x7E,0x77,0xA7,0x77,0xE7,
+ 0xE7,0xE7,0x7F,0xCB,
+ 0x71,0xFE,0x1A,0xF9,0x26,0xCF,0x84,0x79,0x89,0xEF, /* b */
+ 0xEF,0x8D,0xB4,0x59,0xF6,0x63,0x94,0xD9,0x0F,0x32,
+ 0xAD,0x3F,0x15,0xE8,
+ 0x37,0x5D,0x4C,0xE2,0x4F,0xDE,0x43,0x44,0x89,0xDE, /* x */
+ 0x87,0x46,0xE7,0x17,0x86,0x01,0x50,0x09,0xE6,0x6E,
+ 0x38,0xA9,0x26,0xDD,
+ 0x54,0x5A,0x39,0x17,0x61,0x96,0x57,0x5D,0x98,0x59, /* y */
+ 0x99,0x36,0x6E,0x6A,0xD3,0x4C,0xE0,0xA7,0x7C,0xD7,
+ 0x12,0x7B,0x06,0xBE,
+ 0x15,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55, /* order */
+ 0x55,0x55,0x61,0x0C,0x0B,0x19,0x68,0x12,0xBF,0xB6,
+ 0x28,0x8A,0x3E,0xA3 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+27*6]; }
+ _EC_X9_62_CHAR2_208W1 = {
+ { NID_X9_62_characteristic_two_field,0,27,0xFE48 },
+ { /* no seed */
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x07,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0xC8,0x61,0x9E,0xD4,0x5A,0x62,0xE6,0x21,0x2E, /* b */
+ 0x11,0x60,0x34,0x9E,0x2B,0xFA,0x84,0x44,0x39,0xFA,
+ 0xFC,0x2A,0x3F,0xD1,0x63,0x8F,0x9E,
+ 0x00,0x89,0xFD,0xFB,0xE4,0xAB,0xE1,0x93,0xDF,0x95, /* x */
+ 0x59,0xEC,0xF0,0x7A,0xC0,0xCE,0x78,0x55,0x4E,0x27,
+ 0x84,0xEB,0x8C,0x1E,0xD1,0xA5,0x7A,
+ 0x00,0x0F,0x55,0xB5,0x1A,0x06,0xE7,0x8E,0x9A,0xC3, /* y */
+ 0x8A,0x03,0x5F,0xF5,0x20,0xD8,0xB0,0x17,0x81,0xBE,
+ 0xB1,0xA6,0xBB,0x08,0x61,0x7D,0xE3,
+ 0x00,0x00,0x01,0x01,0xBA,0xF9,0x5C,0x97,0x23,0xC5, /* order */
+ 0x7B,0x6C,0x21,0xDA,0x2E,0xFF,0x2D,0x5E,0xD5,0x88,
+ 0xBD,0xD5,0x71,0x7E,0x21,0x2F,0x9D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_CHAR2_239V1 = {
+ { NID_X9_62_characteristic_two_field,20,30,4 },
+ { 0xD3,0x4B,0x9A,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, /* seed */
+ 0x51,0x75,0xCA,0x71,0xB9,0x20,0xBF,0xEF,0xB0,0x5D,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x10,0x00,0x00,0x00,0x01,
+
+ 0x32,0x01,0x08,0x57,0x07,0x7C,0x54,0x31,0x12,0x3A, /* a */
+ 0x46,0xB8,0x08,0x90,0x67,0x56,0xF5,0x43,0x42,0x3E,
+ 0x8D,0x27,0x87,0x75,0x78,0x12,0x57,0x78,0xAC,0x76,
+
+ 0x79,0x04,0x08,0xF2,0xEE,0xDA,0xF3,0x92,0xB0,0x12, /* b */
+ 0xED,0xEF,0xB3,0x39,0x2F,0x30,0xF4,0x32,0x7C,0x0C,
+ 0xA3,0xF3,0x1F,0xC3,0x83,0xC4,0x22,0xAA,0x8C,0x16,
+
+ 0x57,0x92,0x70,0x98,0xFA,0x93,0x2E,0x7C,0x0A,0x96, /* x */
+ 0xD3,0xFD,0x5B,0x70,0x6E,0xF7,0xE5,0xF5,0xC1,0x56,
+ 0xE1,0x6B,0x7E,0x7C,0x86,0x03,0x85,0x52,0xE9,0x1D,
+
+ 0x61,0xD8,0xEE,0x50,0x77,0xC3,0x3F,0xEC,0xF6,0xF1, /* y */
+ 0xA1,0x6B,0x26,0x8D,0xE4,0x69,0xC3,0xC7,0x74,0x4E,
+ 0xA9,0xA9,0x71,0x64,0x9F,0xC7,0xA9,0x61,0x63,0x05,
+
+ 0x20,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* order */
+ 0x00,0x00,0x00,0x00,0x00,0x0F,0x4D,0x42,0xFF,0xE1,
+ 0x49,0x2A,0x49,0x93,0xF1,0xCA,0xD6,0x66,0xE4,0x47 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_CHAR2_239V2 = {
+ { NID_X9_62_characteristic_two_field,20,30,6 },
+ { 0x2A,0xA6,0x98,0x2F,0xDF,0xA4,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x5D,0x26,0x67,0x27,0x27,0x7D,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x10,0x00,0x00,0x00,0x01,
+
+ 0x42,0x30,0x01,0x77,0x57,0xA7,0x67,0xFA,0xE4,0x23, /* a */
+ 0x98,0x56,0x9B,0x74,0x63,0x25,0xD4,0x53,0x13,0xAF,
+ 0x07,0x66,0x26,0x64,0x79,0xB7,0x56,0x54,0xE6,0x5F,
+
+ 0x50,0x37,0xEA,0x65,0x41,0x96,0xCF,0xF0,0xCD,0x82, /* b */
+ 0xB2,0xC1,0x4A,0x2F,0xCF,0x2E,0x3F,0xF8,0x77,0x52,
+ 0x85,0xB5,0x45,0x72,0x2F,0x03,0xEA,0xCD,0xB7,0x4B,
+
+ 0x28,0xF9,0xD0,0x4E,0x90,0x00,0x69,0xC8,0xDC,0x47, /* x */
+ 0xA0,0x85,0x34,0xFE,0x76,0xD2,0xB9,0x00,0xB7,0xD7,
+ 0xEF,0x31,0xF5,0x70,0x9F,0x20,0x0C,0x4C,0xA2,0x05,
+
+ 0x56,0x67,0x33,0x4C,0x45,0xAF,0xF3,0xB5,0xA0,0x3B, /* y */
+ 0xAD,0x9D,0xD7,0x5E,0x2C,0x71,0xA9,0x93,0x62,0x56,
+ 0x7D,0x54,0x53,0xF7,0xFA,0x6E,0x22,0x7E,0xC8,0x33,
+
+ 0x15,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55,0x55, /* order */
+ 0x55,0x55,0x55,0x55,0x55,0x3C,0x6F,0x28,0x85,0x25,
+ 0x9C,0x31,0xE3,0xFC,0xDF,0x15,0x46,0x24,0x52,0x2D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+30*6]; }
+ _EC_X9_62_CHAR2_239V3 = {
+ { NID_X9_62_characteristic_two_field,20,30,0xA },
+ { 0x9E,0x07,0x6F,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, /* seed */
+ 0x51,0x75,0xE1,0x1E,0x9F,0xDD,0x77,0xF9,0x20,0x41,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x10,0x00,0x00,0x00,0x01,
+
+ 0x01,0x23,0x87,0x74,0x66,0x6A,0x67,0x76,0x6D,0x66, /* a */
+ 0x76,0xF7,0x78,0xE6,0x76,0xB6,0x69,0x99,0x17,0x66,
+ 0x66,0xE6,0x87,0x66,0x6D,0x87,0x66,0xC6,0x6A,0x9F,
+
+ 0x6A,0x94,0x19,0x77,0xBA,0x9F,0x6A,0x43,0x51,0x99, /* b */
+ 0xAC,0xFC,0x51,0x06,0x7E,0xD5,0x87,0xF5,0x19,0xC5,
+ 0xEC,0xB5,0x41,0xB8,0xE4,0x41,0x11,0xDE,0x1D,0x40,
+
+ 0x70,0xF6,0xE9,0xD0,0x4D,0x28,0x9C,0x4E,0x89,0x91, /* x */
+ 0x3C,0xE3,0x53,0x0B,0xFD,0xE9,0x03,0x97,0x7D,0x42,
+ 0xB1,0x46,0xD5,0x39,0xBF,0x1B,0xDE,0x4E,0x9C,0x92,
+
+ 0x2E,0x5A,0x0E,0xAF,0x6E,0x5E,0x13,0x05,0xB9,0x00, /* y */
+ 0x4D,0xCE,0x5C,0x0E,0xD7,0xFE,0x59,0xA3,0x56,0x08,
+ 0xF3,0x38,0x37,0xC8,0x16,0xD8,0x0B,0x79,0xF4,0x61,
+
+ 0x0C,0xCC,0xCC,0xCC,0xCC,0xCC,0xCC,0xCC,0xCC,0xCC, /* order */
+ 0xCC,0xCC,0xCC,0xCC,0xCC,0xAC,0x49,0x12,0xD2,0xD9,
+ 0xDF,0x90,0x3E,0xF9,0x88,0x8B,0x8A,0x0E,0x4C,0xFF }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+35*6]; }
+ _EC_X9_62_CHAR2_272W1 = {
+ { NID_X9_62_characteristic_two_field,0,35,0xFF06 },
+ { /* no seed */
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x0B,
+ 0x00,0x91,0xA0,0x91,0xF0,0x3B,0x5F,0xBA,0x4A,0xB2, /* a */
+ 0xCC,0xF4,0x9C,0x4E,0xDD,0x22,0x0F,0xB0,0x28,0x71,
+ 0x2D,0x42,0xBE,0x75,0x2B,0x2C,0x40,0x09,0x4D,0xBA,
+ 0xCD,0xB5,0x86,0xFB,0x20,
+ 0x00,0x71,0x67,0xEF,0xC9,0x2B,0xB2,0xE3,0xCE,0x7C, /* b */
+ 0x8A,0xAA,0xFF,0x34,0xE1,0x2A,0x9C,0x55,0x70,0x03,
+ 0xD7,0xC7,0x3A,0x6F,0xAF,0x00,0x3F,0x99,0xF6,0xCC,
+ 0x84,0x82,0xE5,0x40,0xF7,
+ 0x00,0x61,0x08,0xBA,0xBB,0x2C,0xEE,0xBC,0xF7,0x87, /* x */
+ 0x05,0x8A,0x05,0x6C,0xBE,0x0C,0xFE,0x62,0x2D,0x77,
+ 0x23,0xA2,0x89,0xE0,0x8A,0x07,0xAE,0x13,0xEF,0x0D,
+ 0x10,0xD1,0x71,0xDD,0x8D,
+ 0x00,0x10,0xC7,0x69,0x57,0x16,0x85,0x1E,0xEF,0x6B, /* y */
+ 0xA7,0xF6,0x87,0x2E,0x61,0x42,0xFB,0xD2,0x41,0xB8,
+ 0x30,0xFF,0x5E,0xFC,0xAC,0xEC,0xCA,0xB0,0x5E,0x02,
+ 0x00,0x5D,0xDE,0x9D,0x23,
+ 0x00,0x00,0x01,0x00,0xFA,0xF5,0x13,0x54,0xE0,0xE3, /* order */
+ 0x9E,0x48,0x92,0xDF,0x6E,0x31,0x9C,0x72,0xC8,0x16,
+ 0x16,0x03,0xFA,0x45,0xAA,0x7B,0x99,0x8A,0x16,0x7B,
+ 0x8F,0x1E,0x62,0x95,0x21 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+39*6]; }
+ _EC_X9_62_CHAR2_304W1 = {
+ { NID_X9_62_characteristic_two_field,0,39,0xFE2E },
+ { /* no seed */
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x07,
+ 0x00,0xFD,0x0D,0x69,0x31,0x49,0xA1,0x18,0xF6,0x51, /* a */
+ 0xE6,0xDC,0xE6,0x80,0x20,0x85,0x37,0x7E,0x5F,0x88,
+ 0x2D,0x1B,0x51,0x0B,0x44,0x16,0x00,0x74,0xC1,0x28,
+ 0x80,0x78,0x36,0x5A,0x03,0x96,0xC8,0xE6,0x81,
+ 0x00,0xBD,0xDB,0x97,0xE5,0x55,0xA5,0x0A,0x90,0x8E, /* b */
+ 0x43,0xB0,0x1C,0x79,0x8E,0xA5,0xDA,0xA6,0x78,0x8F,
+ 0x1E,0xA2,0x79,0x4E,0xFC,0xF5,0x71,0x66,0xB8,0xC1,
+ 0x40,0x39,0x60,0x1E,0x55,0x82,0x73,0x40,0xBE,
+ 0x00,0x19,0x7B,0x07,0x84,0x5E,0x9B,0xE2,0xD9,0x6A, /* x */
+ 0xDB,0x0F,0x5F,0x3C,0x7F,0x2C,0xFF,0xBD,0x7A,0x3E,
+ 0xB8,0xB6,0xFE,0xC3,0x5C,0x7F,0xD6,0x7F,0x26,0xDD,
+ 0xF6,0x28,0x5A,0x64,0x4F,0x74,0x0A,0x26,0x14,
+ 0x00,0xE1,0x9F,0xBE,0xB7,0x6E,0x0D,0xA1,0x71,0x51, /* y */
+ 0x7E,0xCF,0x40,0x1B,0x50,0x28,0x9B,0xF0,0x14,0x10,
+ 0x32,0x88,0x52,0x7A,0x9B,0x41,0x6A,0x10,0x5E,0x80,
+ 0x26,0x0B,0x54,0x9F,0xDC,0x1B,0x92,0xC0,0x3B,
+ 0x00,0x00,0x01,0x01,0xD5,0x56,0x57,0x2A,0xAB,0xAC, /* order */
+ 0x80,0x01,0x01,0xD5,0x56,0x57,0x2A,0xAB,0xAC,0x80,
+ 0x01,0x02,0x2D,0x5C,0x91,0xDD,0x17,0x3F,0x8F,0xB5,
+ 0x61,0xDA,0x68,0x99,0x16,0x44,0x43,0x05,0x1D }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[20+45*6]; }
+ _EC_X9_62_CHAR2_359V1 = {
+ { NID_X9_62_characteristic_two_field,20,45,0x4C },
+ { 0x2B,0x35,0x49,0x20,0xB7,0x24,0xD6,0x96,0xE6,0x76, /* seed */
+ 0x87,0x56,0x15,0x17,0x58,0x5B,0xA1,0x33,0x2D,0xC6,
+
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x10,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x01,
+ 0x56,0x67,0x67,0x6A,0x65,0x4B,0x20,0x75,0x4F,0x35, /* a */
+ 0x6E,0xA9,0x20,0x17,0xD9,0x46,0x56,0x7C,0x46,0x67,
+ 0x55,0x56,0xF1,0x95,0x56,0xA0,0x46,0x16,0xB5,0x67,
+ 0xD2,0x23,0xA5,0xE0,0x56,0x56,0xFB,0x54,0x90,0x16,
+ 0xA9,0x66,0x56,0xA5,0x57,
+ 0x24,0x72,0xE2,0xD0,0x19,0x7C,0x49,0x36,0x3F,0x1F, /* b */
+ 0xE7,0xF5,0xB6,0xDB,0x07,0x5D,0x52,0xB6,0x94,0x7D,
+ 0x13,0x5D,0x8C,0xA4,0x45,0x80,0x5D,0x39,0xBC,0x34,
+ 0x56,0x26,0x08,0x96,0x87,0x74,0x2B,0x63,0x29,0xE7,
+ 0x06,0x80,0x23,0x19,0x88,
+ 0x3C,0x25,0x8E,0xF3,0x04,0x77,0x67,0xE7,0xED,0xE0, /* x */
+ 0xF1,0xFD,0xAA,0x79,0xDA,0xEE,0x38,0x41,0x36,0x6A,
+ 0x13,0x2E,0x16,0x3A,0xCE,0xD4,0xED,0x24,0x01,0xDF,
+ 0x9C,0x6B,0xDC,0xDE,0x98,0xE8,0xE7,0x07,0xC0,0x7A,
+ 0x22,0x39,0xB1,0xB0,0x97,
+ 0x53,0xD7,0xE0,0x85,0x29,0x54,0x70,0x48,0x12,0x1E, /* y */
+ 0x9C,0x95,0xF3,0x79,0x1D,0xD8,0x04,0x96,0x39,0x48,
+ 0xF3,0x4F,0xAE,0x7B,0xF4,0x4E,0xA8,0x23,0x65,0xDC,
+ 0x78,0x68,0xFE,0x57,0xE4,0xAE,0x2D,0xE2,0x11,0x30,
+ 0x5A,0x40,0x71,0x04,0xBD,
+ 0x01,0xAF,0x28,0x6B,0xCA,0x1A,0xF2,0x86,0xBC,0xA1, /* order */
+ 0xAF,0x28,0x6B,0xCA,0x1A,0xF2,0x86,0xBC,0xA1,0xAF,
+ 0x28,0x6B,0xC9,0xFB,0x8F,0x6B,0x85,0xC5,0x56,0x89,
+ 0x2C,0x20,0xA7,0xEB,0x96,0x4F,0xE7,0x71,0x9E,0x74,
+ 0xF4,0x90,0x75,0x8D,0x3B }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+47*6]; }
+ _EC_X9_62_CHAR2_368W1 = {
+ { NID_X9_62_characteristic_two_field,0,47,0xFF70 },
+ { /* no seed */
+ 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x20,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x07,
+ 0x00,0xE0,0xD2,0xEE,0x25,0x09,0x52,0x06,0xF5,0xE2, /* a */
+ 0xA4,0xF9,0xED,0x22,0x9F,0x1F,0x25,0x6E,0x79,0xA0,
+ 0xE2,0xB4,0x55,0x97,0x0D,0x8D,0x0D,0x86,0x5B,0xD9,
+ 0x47,0x78,0xC5,0x76,0xD6,0x2F,0x0A,0xB7,0x51,0x9C,
+ 0xCD,0x2A,0x1A,0x90,0x6A,0xE3,0x0D,
+ 0x00,0xFC,0x12,0x17,0xD4,0x32,0x0A,0x90,0x45,0x2C, /* b */
+ 0x76,0x0A,0x58,0xED,0xCD,0x30,0xC8,0xDD,0x06,0x9B,
+ 0x3C,0x34,0x45,0x38,0x37,0xA3,0x4E,0xD5,0x0C,0xB5,
+ 0x49,0x17,0xE1,0xC2,0x11,0x2D,0x84,0xD1,0x64,0xF4,
+ 0x44,0xF8,0xF7,0x47,0x86,0x04,0x6A,
+ 0x00,0x10,0x85,0xE2,0x75,0x53,0x81,0xDC,0xCC,0xE3, /* x */
+ 0xC1,0x55,0x7A,0xFA,0x10,0xC2,0xF0,0xC0,0xC2,0x82,
+ 0x56,0x46,0xC5,0xB3,0x4A,0x39,0x4C,0xBC,0xFA,0x8B,
+ 0xC1,0x6B,0x22,0xE7,0xE7,0x89,0xE9,0x27,0xBE,0x21,
+ 0x6F,0x02,0xE1,0xFB,0x13,0x6A,0x5F,
+ 0x00,0x7B,0x3E,0xB1,0xBD,0xDC,0xBA,0x62,0xD5,0xD8, /* y */
+ 0xB2,0x05,0x9B,0x52,0x57,0x97,0xFC,0x73,0x82,0x2C,
+ 0x59,0x05,0x9C,0x62,0x3A,0x45,0xFF,0x38,0x43,0xCE,
+ 0xE8,0xF8,0x7C,0xD1,0x85,0x5A,0xDA,0xA8,0x1E,0x2A,
+ 0x07,0x50,0xB8,0x0F,0xDA,0x23,0x10,
+ 0x00,0x00,0x01,0x00,0x90,0x51,0x2D,0xA9,0xAF,0x72, /* order */
+ 0xB0,0x83,0x49,0xD9,0x8A,0x5D,0xD4,0xC7,0xB0,0x53,
+ 0x2E,0xCA,0x51,0xCE,0x03,0xE2,0xD1,0x0F,0x3B,0x7A,
+ 0xC5,0x79,0xBD,0x87,0xE9,0x09,0xAE,0x40,0xA6,0xF1,
+ 0x31,0xE9,0xCF,0xCE,0x5B,0xD9,0x67 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+54*6]; }
+ _EC_X9_62_CHAR2_431R1 = {
+ { NID_X9_62_characteristic_two_field,0,54,0x2760 },
+ { /* no seed */
+ 0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x01,
+ 0x1A,0x82,0x7E,0xF0,0x0D,0xD6,0xFC,0x0E,0x23,0x4C, /* a */
+ 0xAF,0x04,0x6C,0x6A,0x5D,0x8A,0x85,0x39,0x5B,0x23,
+ 0x6C,0xC4,0xAD,0x2C,0xF3,0x2A,0x0C,0xAD,0xBD,0xC9,
+ 0xDD,0xF6,0x20,0xB0,0xEB,0x99,0x06,0xD0,0x95,0x7F,
+ 0x6C,0x6F,0xEA,0xCD,0x61,0x54,0x68,0xDF,0x10,0x4D,
+ 0xE2,0x96,0xCD,0x8F,
+ 0x10,0xD9,0xB4,0xA3,0xD9,0x04,0x7D,0x8B,0x15,0x43, /* b */
+ 0x59,0xAB,0xFB,0x1B,0x7F,0x54,0x85,0xB0,0x4C,0xEB,
+ 0x86,0x82,0x37,0xDD,0xC9,0xDE,0xDA,0x98,0x2A,0x67,
+ 0x9A,0x5A,0x91,0x9B,0x62,0x6D,0x4E,0x50,0xA8,0xDD,
+ 0x73,0x1B,0x10,0x7A,0x99,0x62,0x38,0x1F,0xB5,0xD8,
+ 0x07,0xBF,0x26,0x18,
+ 0x12,0x0F,0xC0,0x5D,0x3C,0x67,0xA9,0x9D,0xE1,0x61, /* x */
+ 0xD2,0xF4,0x09,0x26,0x22,0xFE,0xCA,0x70,0x1B,0xE4,
+ 0xF5,0x0F,0x47,0x58,0x71,0x4E,0x8A,0x87,0xBB,0xF2,
+ 0xA6,0x58,0xEF,0x8C,0x21,0xE7,0xC5,0xEF,0xE9,0x65,
+ 0x36,0x1F,0x6C,0x29,0x99,0xC0,0xC2,0x47,0xB0,0xDB,
+ 0xD7,0x0C,0xE6,0xB7,
+ 0x20,0xD0,0xAF,0x89,0x03,0xA9,0x6F,0x8D,0x5F,0xA2, /* y */
+ 0xC2,0x55,0x74,0x5D,0x3C,0x45,0x1B,0x30,0x2C,0x93,
+ 0x46,0xD9,0xB7,0xE4,0x85,0xE7,0xBC,0xE4,0x1F,0x6B,
+ 0x59,0x1F,0x3E,0x8F,0x6A,0xDD,0xCB,0xB0,0xBC,0x4C,
+ 0x2F,0x94,0x7A,0x7D,0xE1,0xA8,0x9B,0x62,0x5D,0x6A,
+ 0x59,0x8B,0x37,0x60,
+ 0x00,0x03,0x40,0x34,0x03,0x40,0x34,0x03,0x40,0x34, /* order */
+ 0x03,0x40,0x34,0x03,0x40,0x34,0x03,0x40,0x34,0x03,
+ 0x40,0x34,0x03,0x40,0x34,0x03,0x40,0x34,0x03,0x23,
+ 0xC3,0x13,0xFA,0xB5,0x05,0x89,0x70,0x3B,0x5E,0xC6,
+ 0x8D,0x35,0x87,0xFE,0xC6,0x0D,0x16,0x1C,0xC1,0x49,
+ 0xC1,0xAD,0x4A,0x91 }
+ };
+
+static const struct { EC_CURVE_DATA h; unsigned char data[0+15*6]; }
+ _EC_WTLS_1 = {
+ { NID_X9_62_characteristic_two_field,0,15,2 },
+ { /* no seed */
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x02,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x01,
+ 0x01,0x66,0x79,0x79,0xA4,0x0B,0xA4,0x97,0xE5,0xD5, /* x */
+ 0xC2,0x70,0x78,0x06,0x17,
+ 0x00,0xF4,0x4B,0x4A,0xF1,0xEC,0xC2,0x63,0x0E,0x08, /* y */
+ 0x78,0x5C,0xEB,0xCC,0x15,
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFD,0xBF, /* order */
+ 0x91,0xAF,0x6D,0xEA,0x73 }
+ };
+
+/* IPSec curves */
+/* NOTE: The of curves over a extension field of non prime degree
+ * is not recommended (Weil-descent).
+ * As the group order is not a prime this curve is not suitable
+ * for ECDSA.
+ */
+static const struct { EC_CURVE_DATA h; unsigned char data[0+20*6]; }
+ _EC_IPSEC_155_ID3 = {
+ { NID_X9_62_characteristic_two_field,0,20,3 },
+ { /* no seed */
+ 0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x01,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x07,0x33,0x8f,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* x */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x7b,
+
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* y */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0xc8,
+
+ 0x02,0xAA,0xAA,0xAA,0xAA,0xAA,0xAA,0xAA,0xAA,0xAA, /* order */
+ 0xC7,0xF3,0xC7,0x88,0x1B,0xD0,0x86,0x8F,0xA8,0x6C }
+ };
+
+/* NOTE: The of curves over a extension field of non prime degree
+ * is not recommended (Weil-descent).
+ * As the group order is not a prime this curve is not suitable
+ * for ECDSA.
+ */
+static const struct { EC_CURVE_DATA h; unsigned char data[0+24*6]; }
+ _EC_IPSEC_185_ID4 = {
+ { NID_X9_62_characteristic_two_field,0,24,2 },
+ { /* no seed */
+ 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* p */
+ 0x00,0x00,0x00,0x00,0x00,0x20,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x01,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* a */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* b */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x1e,0xe9,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* x */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x18,
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, /* y */
+ 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,
+ 0x00,0x00,0x00,0x0d,
+ 0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, /* order */
+ 0xFF,0xFF,0xED,0xF9,0x7C,0x44,0xDB,0x9F,0x24,0x20,
+ 0xBA,0xFC,0xA7,0x5E }
+ };
+
+typedef struct _ec_list_element_st {
+ int nid;
+ const EC_CURVE_DATA *data;
+ const char *comment;
+ } ec_list_element;
+
+static const ec_list_element curve_list[] = {
+ /* prime field curves */
+ /* secg curves */
+ { NID_secp112r1, &_EC_SECG_PRIME_112R1.h, "SECG/WTLS curve over a 112 bit prime field"},
+ { NID_secp112r2, &_EC_SECG_PRIME_112R2.h, "SECG curve over a 112 bit prime field"},
+ { NID_secp128r1, &_EC_SECG_PRIME_128R1.h, "SECG curve over a 128 bit prime field"},
+ { NID_secp128r2, &_EC_SECG_PRIME_128R2.h, "SECG curve over a 128 bit prime field"},
+ { NID_secp160k1, &_EC_SECG_PRIME_160K1.h, "SECG curve over a 160 bit prime field"},
+ { NID_secp160r1, &_EC_SECG_PRIME_160R1.h, "SECG curve over a 160 bit prime field"},
+ { NID_secp160r2, &_EC_SECG_PRIME_160R2.h, "SECG/WTLS curve over a 160 bit prime field"},
+ /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
+ { NID_secp192k1, &_EC_SECG_PRIME_192K1.h, "SECG curve over a 192 bit prime field"},
+ { NID_secp224k1, &_EC_SECG_PRIME_224K1.h, "SECG curve over a 224 bit prime field"},
+ { NID_secp224r1, &_EC_NIST_PRIME_224.h, "NIST/SECG curve over a 224 bit prime field"},
+ { NID_secp256k1, &_EC_SECG_PRIME_256K1.h, "SECG curve over a 256 bit prime field"},
+ /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
+ { NID_secp384r1, &_EC_NIST_PRIME_384.h, "NIST/SECG curve over a 384 bit prime field"},
+ { NID_secp521r1, &_EC_NIST_PRIME_521.h, "NIST/SECG curve over a 521 bit prime field"},
+ /* X9.62 curves */
+ { NID_X9_62_prime192v1, &_EC_NIST_PRIME_192.h, "NIST/X9.62/SECG curve over a 192 bit prime field"},
+ { NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2.h, "X9.62 curve over a 192 bit prime field"},
+ { NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3.h, "X9.62 curve over a 192 bit prime field"},
+ { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1.h, "X9.62 curve over a 239 bit prime field"},
+ { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2.h, "X9.62 curve over a 239 bit prime field"},
+ { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3.h, "X9.62 curve over a 239 bit prime field"},
+ { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, "X9.62/SECG curve over a 256 bit prime field"},
+ /* characteristic two field curves */
+ /* NIST/SECG curves */
+ { NID_sect113r1, &_EC_SECG_CHAR2_113R1.h, "SECG curve over a 113 bit binary field"},
+ { NID_sect113r2, &_EC_SECG_CHAR2_113R2.h, "SECG curve over a 113 bit binary field"},
+ { NID_sect131r1, &_EC_SECG_CHAR2_131R1.h, "SECG/WTLS curve over a 131 bit binary field"},
+ { NID_sect131r2, &_EC_SECG_CHAR2_131R2.h, "SECG curve over a 131 bit binary field"},
+ { NID_sect163k1, &_EC_NIST_CHAR2_163K.h, "NIST/SECG/WTLS curve over a 163 bit binary field" },
+ { NID_sect163r1, &_EC_SECG_CHAR2_163R1.h, "SECG curve over a 163 bit binary field"},
+ { NID_sect163r2, &_EC_NIST_CHAR2_163B.h, "NIST/SECG curve over a 163 bit binary field" },
+ { NID_sect193r1, &_EC_SECG_CHAR2_193R1.h, "SECG curve over a 193 bit binary field"},
+ { NID_sect193r2, &_EC_SECG_CHAR2_193R2.h, "SECG curve over a 193 bit binary field"},
+ { NID_sect233k1, &_EC_NIST_CHAR2_233K.h, "NIST/SECG/WTLS curve over a 233 bit binary field" },
+ { NID_sect233r1, &_EC_NIST_CHAR2_233B.h, "NIST/SECG/WTLS curve over a 233 bit binary field" },
+ { NID_sect239k1, &_EC_SECG_CHAR2_239K1.h, "SECG curve over a 239 bit binary field"},
+ { NID_sect283k1, &_EC_NIST_CHAR2_283K.h, "NIST/SECG curve over a 283 bit binary field" },
+ { NID_sect283r1, &_EC_NIST_CHAR2_283B.h, "NIST/SECG curve over a 283 bit binary field" },
+ { NID_sect409k1, &_EC_NIST_CHAR2_409K.h, "NIST/SECG curve over a 409 bit binary field" },
+ { NID_sect409r1, &_EC_NIST_CHAR2_409B.h, "NIST/SECG curve over a 409 bit binary field" },
+ { NID_sect571k1, &_EC_NIST_CHAR2_571K.h, "NIST/SECG curve over a 571 bit binary field" },
+ { NID_sect571r1, &_EC_NIST_CHAR2_571B.h, "NIST/SECG curve over a 571 bit binary field" },
+ /* X9.62 curves */
+ { NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1.h, "X9.62 curve over a 163 bit binary field"},
+ { NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2.h, "X9.62 curve over a 163 bit binary field"},
+ { NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3.h, "X9.62 curve over a 163 bit binary field"},
+ { NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1.h, "X9.62 curve over a 176 bit binary field"},
+ { NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1.h, "X9.62 curve over a 191 bit binary field"},
+ { NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2.h, "X9.62 curve over a 191 bit binary field"},
+ { NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3.h, "X9.62 curve over a 191 bit binary field"},
+ { NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1.h, "X9.62 curve over a 208 bit binary field"},
+ { NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1.h, "X9.62 curve over a 239 bit binary field"},
+ { NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2.h, "X9.62 curve over a 239 bit binary field"},
+ { NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3.h, "X9.62 curve over a 239 bit binary field"},
+ { NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1.h, "X9.62 curve over a 272 bit binary field"},
+ { NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1.h, "X9.62 curve over a 304 bit binary field"},
+ { NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1.h, "X9.62 curve over a 359 bit binary field"},
+ { NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1.h, "X9.62 curve over a 368 bit binary field"},
+ { NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1.h, "X9.62 curve over a 431 bit binary field"},
+ /* the WAP/WTLS curves
+ * [unlike SECG, spec has its own OIDs for curves from X9.62] */
+ { NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1.h, "WTLS curve over a 113 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K.h, "NIST/SECG/WTLS curve over a 163 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1.h, "SECG curve over a 113 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1.h, "X9.62 curve over a 163 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1.h, "SECG/WTLS curve over a 112 bit prime field"},
+ { NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2.h, "SECG/WTLS curve over a 160 bit prime field"},
+ { NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8.h, "WTLS curve over a 112 bit prime field"},
+ { NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9.h, "WTLS curve over a 160 bit prime field" },
+ { NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K.h, "NIST/SECG/WTLS curve over a 233 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B.h, "NIST/SECG/WTLS curve over a 233 bit binary field"},
+ { NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12.h, "WTLS curvs over a 224 bit prime field"},
+ /* IPSec curves */
+ { NID_ipsec3, &_EC_IPSEC_155_ID3.h, "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n""\tNot suitable for ECDSA.\n\tQuestionable extension field!"},
+ { NID_ipsec4, &_EC_IPSEC_185_ID4.h, "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n""\tNot suitable for ECDSA.\n\tQuestionable extension field!"},
+};
+
+#define curve_list_length (sizeof(curve_list)/sizeof(ec_list_element))
+
+static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
+ {
+ EC_GROUP *group=NULL;
+ EC_POINT *P=NULL;
+ BN_CTX *ctx=NULL;
+ BIGNUM *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
+ int ok=0;
+ int seed_len,param_len;
+ const unsigned char *params;
+
+ if ((ctx = BN_CTX_new()) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ seed_len = data->seed_len;
+ param_len = data->param_len;
+ params = (const unsigned char *)(data+1); /* skip header */
+ params += seed_len; /* skip seed */
+
+ if (!(p = BN_bin2bn(params+0*param_len, param_len, NULL))
+ || !(a = BN_bin2bn(params+1*param_len, param_len, NULL))
+ || !(b = BN_bin2bn(params+2*param_len, param_len, NULL)))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if (data->field_type == NID_X9_62_prime_field)
+ {
+ if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+ else /* field_type == NID_X9_62_characteristic_two_field */
+ {
+ if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+
+ if ((P = EC_POINT_new(group)) == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+
+ if (!(x = BN_bin2bn(params+3*param_len, param_len, NULL))
+ || !(y = BN_bin2bn(params+4*param_len, param_len, NULL)))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto err;
+ }
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (!(order = BN_bin2bn(params+5*param_len, param_len, NULL))
+ || !BN_set_word(x, (BN_ULONG)data->cofactor))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
+ goto err;
+ }
+ if (!EC_GROUP_set_generator(group, P, order, x))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (seed_len)
+ {
+ if (!EC_GROUP_set_seed(group, params-seed_len, seed_len))
+ {
+ ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
+ goto err;
+ }
+ }
+ ok=1;
+err:
+ if (!ok)
+ {
+ EC_GROUP_free(group);
+ group = NULL;
+ }
+ if (P)
+ EC_POINT_free(P);
+ if (ctx)
+ BN_CTX_free(ctx);
+ if (p)
+ BN_free(p);
+ if (a)
+ BN_free(a);
+ if (b)
+ BN_free(b);
+ if (order)
+ BN_free(order);
+ if (x)
+ BN_free(x);
+ if (y)
+ BN_free(y);
+ return group;
+ }
+
+EC_GROUP *EC_GROUP_new_by_curve_name(int nid)
+ {
+ size_t i;
+ EC_GROUP *ret = NULL;
+
+ if (nid <= 0)
+ return NULL;
+
+ for (i=0; i<curve_list_length; i++)
+ if (curve_list[i].nid == nid)
+ {
+ ret = ec_group_new_from_data(curve_list[i].data);
+ break;
+ }
+
+ if (ret == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP);
+ return NULL;
+ }
+
+ EC_GROUP_set_curve_name(ret, nid);
+
+ return ret;
+ }
+
+size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
+ {
+ size_t i, min;
+
+ if (r == NULL || nitems == 0)
+ return curve_list_length;
+
+ min = nitems < curve_list_length ? nitems : curve_list_length;
+
+ for (i = 0; i < min; i++)
+ {
+ r[i].nid = curve_list[i].nid;
+ r[i].comment = curve_list[i].comment;
+ }
+
+ return curve_list_length;
+ }
diff --git a/openssl/crypto/ec/ec_cvt.c b/openssl/crypto/ec/ec_cvt.c
new file mode 100644
index 00000000..d45640ba
--- /dev/null
+++ b/openssl/crypto/ec/ec_cvt.c
@@ -0,0 +1,144 @@
+/* crypto/ec/ec_cvt.c */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/* ====================================================================
+ * 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).
+ *
+ */
+/* ====================================================================
+ * 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 OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+#include <openssl/err.h>
+#include "ec_lcl.h"
+
+
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ const EC_METHOD *meth;
+ EC_GROUP *ret;
+
+ meth = EC_GFp_nist_method();
+
+ ret = EC_GROUP_new(meth);
+ if (ret == NULL)
+ return NULL;
+
+ if (!EC_GROUP_set_curve_GFp(ret, p, a, b, ctx))
+ {
+ unsigned long err;
+
+ err = ERR_peek_last_error();
+
+ if (!(ERR_GET_LIB(err) == ERR_LIB_EC &&
+ ((ERR_GET_REASON(err) == EC_R_NOT_A_NIST_PRIME) ||
+ (ERR_GET_REASON(err) == EC_R_NOT_A_SUPPORTED_NIST_PRIME))))
+ {
+ /* real error */
+
+ EC_GROUP_clear_free(ret);
+ return NULL;
+ }
+
+
+ /* not an actual error, we just cannot use EC_GFp_nist_method */
+
+ ERR_clear_error();
+
+ EC_GROUP_clear_free(ret);
+ meth = EC_GFp_mont_method();
+
+ ret = EC_GROUP_new(meth);
+ if (ret == NULL)
+ return NULL;
+
+ if (!EC_GROUP_set_curve_GFp(ret, p, a, b, ctx))
+ {
+ EC_GROUP_clear_free(ret);
+ return NULL;
+ }
+ }
+
+ return ret;
+ }
+
+
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ const EC_METHOD *meth;
+ EC_GROUP *ret;
+
+ meth = EC_GF2m_simple_method();
+
+ ret = EC_GROUP_new(meth);
+ if (ret == NULL)
+ return NULL;
+
+ if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx))
+ {
+ EC_GROUP_clear_free(ret);
+ return NULL;
+ }
+
+ return ret;
+ }
diff --git a/openssl/crypto/ec/ec_err.c b/openssl/crypto/ec/ec_err.c
new file mode 100644
index 00000000..84b48333
--- /dev/null
+++ b/openssl/crypto/ec/ec_err.c
@@ -0,0 +1,258 @@
+/* crypto/ec/ec_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/ec.h>
+
+/* BEGIN ERROR CODES */
+#ifndef OPENSSL_NO_ERR
+
+#define ERR_FUNC(func) ERR_PACK(ERR_LIB_EC,func,0)
+#define ERR_REASON(reason) ERR_PACK(ERR_LIB_EC,0,reason)
+
+static ERR_STRING_DATA EC_str_functs[]=
+ {
+{ERR_FUNC(EC_F_COMPUTE_WNAF), "COMPUTE_WNAF"},
+{ERR_FUNC(EC_F_D2I_ECPARAMETERS), "d2i_ECParameters"},
+{ERR_FUNC(EC_F_D2I_ECPKPARAMETERS), "d2i_ECPKParameters"},
+{ERR_FUNC(EC_F_D2I_ECPRIVATEKEY), "d2i_ECPrivateKey"},
+{ERR_FUNC(EC_F_DO_EC_KEY_PRINT), "DO_EC_KEY_PRINT"},
+{ERR_FUNC(EC_F_ECKEY_PARAM2TYPE), "ECKEY_PARAM2TYPE"},
+{ERR_FUNC(EC_F_ECKEY_PARAM_DECODE), "ECKEY_PARAM_DECODE"},
+{ERR_FUNC(EC_F_ECKEY_PRIV_DECODE), "ECKEY_PRIV_DECODE"},
+{ERR_FUNC(EC_F_ECKEY_PRIV_ENCODE), "ECKEY_PRIV_ENCODE"},
+{ERR_FUNC(EC_F_ECKEY_PUB_DECODE), "ECKEY_PUB_DECODE"},
+{ERR_FUNC(EC_F_ECKEY_PUB_ENCODE), "ECKEY_PUB_ENCODE"},
+{ERR_FUNC(EC_F_ECKEY_TYPE2PARAM), "ECKEY_TYPE2PARAM"},
+{ERR_FUNC(EC_F_ECPARAMETERS_PRINT), "ECParameters_print"},
+{ERR_FUNC(EC_F_ECPARAMETERS_PRINT_FP), "ECParameters_print_fp"},
+{ERR_FUNC(EC_F_ECPKPARAMETERS_PRINT), "ECPKParameters_print"},
+{ERR_FUNC(EC_F_ECPKPARAMETERS_PRINT_FP), "ECPKParameters_print_fp"},
+{ERR_FUNC(EC_F_ECP_NIST_MOD_192), "ECP_NIST_MOD_192"},
+{ERR_FUNC(EC_F_ECP_NIST_MOD_224), "ECP_NIST_MOD_224"},
+{ERR_FUNC(EC_F_ECP_NIST_MOD_256), "ECP_NIST_MOD_256"},
+{ERR_FUNC(EC_F_ECP_NIST_MOD_521), "ECP_NIST_MOD_521"},
+{ERR_FUNC(EC_F_EC_ASN1_GROUP2CURVE), "EC_ASN1_GROUP2CURVE"},
+{ERR_FUNC(EC_F_EC_ASN1_GROUP2FIELDID), "EC_ASN1_GROUP2FIELDID"},
+{ERR_FUNC(EC_F_EC_ASN1_GROUP2PARAMETERS), "EC_ASN1_GROUP2PARAMETERS"},
+{ERR_FUNC(EC_F_EC_ASN1_GROUP2PKPARAMETERS), "EC_ASN1_GROUP2PKPARAMETERS"},
+{ERR_FUNC(EC_F_EC_ASN1_PARAMETERS2GROUP), "EC_ASN1_PARAMETERS2GROUP"},
+{ERR_FUNC(EC_F_EC_ASN1_PKPARAMETERS2GROUP), "EC_ASN1_PKPARAMETERS2GROUP"},
+{ERR_FUNC(EC_F_EC_EX_DATA_SET_DATA), "EC_EX_DATA_set_data"},
+{ERR_FUNC(EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY), "EC_GF2M_MONTGOMERY_POINT_MULTIPLY"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT), "ec_GF2m_simple_group_check_discriminant"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE), "ec_GF2m_simple_group_set_curve"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_OCT2POINT), "ec_GF2m_simple_oct2point"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT2OCT), "ec_GF2m_simple_point2oct"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES), "ec_GF2m_simple_point_get_affine_coordinates"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES), "ec_GF2m_simple_point_set_affine_coordinates"},
+{ERR_FUNC(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES), "ec_GF2m_simple_set_compressed_coordinates"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_DECODE), "ec_GFp_mont_field_decode"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_ENCODE), "ec_GFp_mont_field_encode"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_MUL), "ec_GFp_mont_field_mul"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE), "ec_GFp_mont_field_set_to_one"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_SQR), "ec_GFp_mont_field_sqr"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_GROUP_SET_CURVE), "ec_GFp_mont_group_set_curve"},
+{ERR_FUNC(EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP), "EC_GFP_MONT_GROUP_SET_CURVE_GFP"},
+{ERR_FUNC(EC_F_EC_GFP_NIST_FIELD_MUL), "ec_GFp_nist_field_mul"},
+{ERR_FUNC(EC_F_EC_GFP_NIST_FIELD_SQR), "ec_GFp_nist_field_sqr"},
+{ERR_FUNC(EC_F_EC_GFP_NIST_GROUP_SET_CURVE), "ec_GFp_nist_group_set_curve"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT), "ec_GFp_simple_group_check_discriminant"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE), "ec_GFp_simple_group_set_curve"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP), "EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR), "EC_GFP_SIMPLE_GROUP_SET_GENERATOR"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE), "ec_GFp_simple_make_affine"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_OCT2POINT), "ec_GFp_simple_oct2point"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT2OCT), "ec_GFp_simple_point2oct"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE), "ec_GFp_simple_points_make_affine"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES), "ec_GFp_simple_point_get_affine_coordinates"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP), "EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES), "ec_GFp_simple_point_set_affine_coordinates"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP), "EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES), "ec_GFp_simple_set_compressed_coordinates"},
+{ERR_FUNC(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP), "EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP"},
+{ERR_FUNC(EC_F_EC_GROUP_CHECK), "EC_GROUP_check"},
+{ERR_FUNC(EC_F_EC_GROUP_CHECK_DISCRIMINANT), "EC_GROUP_check_discriminant"},
+{ERR_FUNC(EC_F_EC_GROUP_COPY), "EC_GROUP_copy"},
+{ERR_FUNC(EC_F_EC_GROUP_GET0_GENERATOR), "EC_GROUP_get0_generator"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_COFACTOR), "EC_GROUP_get_cofactor"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_CURVE_GF2M), "EC_GROUP_get_curve_GF2m"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_CURVE_GFP), "EC_GROUP_get_curve_GFp"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_DEGREE), "EC_GROUP_get_degree"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_ORDER), "EC_GROUP_get_order"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS), "EC_GROUP_get_pentanomial_basis"},
+{ERR_FUNC(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS), "EC_GROUP_get_trinomial_basis"},
+{ERR_FUNC(EC_F_EC_GROUP_NEW), "EC_GROUP_new"},
+{ERR_FUNC(EC_F_EC_GROUP_NEW_BY_CURVE_NAME), "EC_GROUP_new_by_curve_name"},
+{ERR_FUNC(EC_F_EC_GROUP_NEW_FROM_DATA), "EC_GROUP_NEW_FROM_DATA"},
+{ERR_FUNC(EC_F_EC_GROUP_PRECOMPUTE_MULT), "EC_GROUP_precompute_mult"},
+{ERR_FUNC(EC_F_EC_GROUP_SET_CURVE_GF2M), "EC_GROUP_set_curve_GF2m"},
+{ERR_FUNC(EC_F_EC_GROUP_SET_CURVE_GFP), "EC_GROUP_set_curve_GFp"},
+{ERR_FUNC(EC_F_EC_GROUP_SET_EXTRA_DATA), "EC_GROUP_SET_EXTRA_DATA"},
+{ERR_FUNC(EC_F_EC_GROUP_SET_GENERATOR), "EC_GROUP_set_generator"},
+{ERR_FUNC(EC_F_EC_KEY_CHECK_KEY), "EC_KEY_check_key"},
+{ERR_FUNC(EC_F_EC_KEY_COPY), "EC_KEY_copy"},
+{ERR_FUNC(EC_F_EC_KEY_GENERATE_KEY), "EC_KEY_generate_key"},
+{ERR_FUNC(EC_F_EC_KEY_NEW), "EC_KEY_new"},
+{ERR_FUNC(EC_F_EC_KEY_PRINT), "EC_KEY_print"},
+{ERR_FUNC(EC_F_EC_KEY_PRINT_FP), "EC_KEY_print_fp"},
+{ERR_FUNC(EC_F_EC_POINTS_MAKE_AFFINE), "EC_POINTs_make_affine"},
+{ERR_FUNC(EC_F_EC_POINT_ADD), "EC_POINT_add"},
+{ERR_FUNC(EC_F_EC_POINT_CMP), "EC_POINT_cmp"},
+{ERR_FUNC(EC_F_EC_POINT_COPY), "EC_POINT_copy"},
+{ERR_FUNC(EC_F_EC_POINT_DBL), "EC_POINT_dbl"},
+{ERR_FUNC(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M), "EC_POINT_get_affine_coordinates_GF2m"},
+{ERR_FUNC(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP), "EC_POINT_get_affine_coordinates_GFp"},
+{ERR_FUNC(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP), "EC_POINT_get_Jprojective_coordinates_GFp"},
+{ERR_FUNC(EC_F_EC_POINT_INVERT), "EC_POINT_invert"},
+{ERR_FUNC(EC_F_EC_POINT_IS_AT_INFINITY), "EC_POINT_is_at_infinity"},
+{ERR_FUNC(EC_F_EC_POINT_IS_ON_CURVE), "EC_POINT_is_on_curve"},
+{ERR_FUNC(EC_F_EC_POINT_MAKE_AFFINE), "EC_POINT_make_affine"},
+{ERR_FUNC(EC_F_EC_POINT_MUL), "EC_POINT_mul"},
+{ERR_FUNC(EC_F_EC_POINT_NEW), "EC_POINT_new"},
+{ERR_FUNC(EC_F_EC_POINT_OCT2POINT), "EC_POINT_oct2point"},
+{ERR_FUNC(EC_F_EC_POINT_POINT2OCT), "EC_POINT_point2oct"},
+{ERR_FUNC(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M), "EC_POINT_set_affine_coordinates_GF2m"},
+{ERR_FUNC(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP), "EC_POINT_set_affine_coordinates_GFp"},
+{ERR_FUNC(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M), "EC_POINT_set_compressed_coordinates_GF2m"},
+{ERR_FUNC(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP), "EC_POINT_set_compressed_coordinates_GFp"},
+{ERR_FUNC(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP), "EC_POINT_set_Jprojective_coordinates_GFp"},
+{ERR_FUNC(EC_F_EC_POINT_SET_TO_INFINITY), "EC_POINT_set_to_infinity"},
+{ERR_FUNC(EC_F_EC_PRE_COMP_DUP), "EC_PRE_COMP_DUP"},
+{ERR_FUNC(EC_F_EC_PRE_COMP_NEW), "EC_PRE_COMP_NEW"},
+{ERR_FUNC(EC_F_EC_WNAF_MUL), "ec_wNAF_mul"},
+{ERR_FUNC(EC_F_EC_WNAF_PRECOMPUTE_MULT), "ec_wNAF_precompute_mult"},
+{ERR_FUNC(EC_F_I2D_ECPARAMETERS), "i2d_ECParameters"},
+{ERR_FUNC(EC_F_I2D_ECPKPARAMETERS), "i2d_ECPKParameters"},
+{ERR_FUNC(EC_F_I2D_ECPRIVATEKEY), "i2d_ECPrivateKey"},
+{ERR_FUNC(EC_F_I2O_ECPUBLICKEY), "i2o_ECPublicKey"},
+{ERR_FUNC(EC_F_O2I_ECPUBLICKEY), "o2i_ECPublicKey"},
+{ERR_FUNC(EC_F_OLD_EC_PRIV_DECODE), "OLD_EC_PRIV_DECODE"},
+{ERR_FUNC(EC_F_PKEY_EC_CTRL), "PKEY_EC_CTRL"},
+{ERR_FUNC(EC_F_PKEY_EC_CTRL_STR), "PKEY_EC_CTRL_STR"},
+{ERR_FUNC(EC_F_PKEY_EC_DERIVE), "PKEY_EC_DERIVE"},
+{ERR_FUNC(EC_F_PKEY_EC_KEYGEN), "PKEY_EC_KEYGEN"},
+{ERR_FUNC(EC_F_PKEY_EC_PARAMGEN), "PKEY_EC_PARAMGEN"},
+{ERR_FUNC(EC_F_PKEY_EC_SIGN), "PKEY_EC_SIGN"},
+{0,NULL}
+ };
+
+static ERR_STRING_DATA EC_str_reasons[]=
+ {
+{ERR_REASON(EC_R_ASN1_ERROR) ,"asn1 error"},
+{ERR_REASON(EC_R_ASN1_UNKNOWN_FIELD) ,"asn1 unknown field"},
+{ERR_REASON(EC_R_BUFFER_TOO_SMALL) ,"buffer too small"},
+{ERR_REASON(EC_R_D2I_ECPKPARAMETERS_FAILURE),"d2i ecpkparameters failure"},
+{ERR_REASON(EC_R_DECODE_ERROR) ,"decode error"},
+{ERR_REASON(EC_R_DISCRIMINANT_IS_ZERO) ,"discriminant is zero"},
+{ERR_REASON(EC_R_EC_GROUP_NEW_BY_NAME_FAILURE),"ec group new by name failure"},
+{ERR_REASON(EC_R_FIELD_TOO_LARGE) ,"field too large"},
+{ERR_REASON(EC_R_GROUP2PKPARAMETERS_FAILURE),"group2pkparameters failure"},
+{ERR_REASON(EC_R_I2D_ECPKPARAMETERS_FAILURE),"i2d ecpkparameters failure"},
+{ERR_REASON(EC_R_INCOMPATIBLE_OBJECTS) ,"incompatible objects"},
+{ERR_REASON(EC_R_INVALID_ARGUMENT) ,"invalid argument"},
+{ERR_REASON(EC_R_INVALID_COMPRESSED_POINT),"invalid compressed point"},
+{ERR_REASON(EC_R_INVALID_COMPRESSION_BIT),"invalid compression bit"},
+{ERR_REASON(EC_R_INVALID_CURVE) ,"invalid curve"},
+{ERR_REASON(EC_R_INVALID_DIGEST_TYPE) ,"invalid digest type"},
+{ERR_REASON(EC_R_INVALID_ENCODING) ,"invalid encoding"},
+{ERR_REASON(EC_R_INVALID_FIELD) ,"invalid field"},
+{ERR_REASON(EC_R_INVALID_FORM) ,"invalid form"},
+{ERR_REASON(EC_R_INVALID_GROUP_ORDER) ,"invalid group order"},
+{ERR_REASON(EC_R_INVALID_PENTANOMIAL_BASIS),"invalid pentanomial basis"},
+{ERR_REASON(EC_R_INVALID_PRIVATE_KEY) ,"invalid private key"},
+{ERR_REASON(EC_R_INVALID_TRINOMIAL_BASIS),"invalid trinomial basis"},
+{ERR_REASON(EC_R_KEYS_NOT_SET) ,"keys not set"},
+{ERR_REASON(EC_R_MISSING_PARAMETERS) ,"missing parameters"},
+{ERR_REASON(EC_R_MISSING_PRIVATE_KEY) ,"missing private key"},
+{ERR_REASON(EC_R_NOT_A_NIST_PRIME) ,"not a NIST prime"},
+{ERR_REASON(EC_R_NOT_A_SUPPORTED_NIST_PRIME),"not a supported NIST prime"},
+{ERR_REASON(EC_R_NOT_IMPLEMENTED) ,"not implemented"},
+{ERR_REASON(EC_R_NOT_INITIALIZED) ,"not initialized"},
+{ERR_REASON(EC_R_NO_FIELD_MOD) ,"no field mod"},
+{ERR_REASON(EC_R_NO_PARAMETERS_SET) ,"no parameters set"},
+{ERR_REASON(EC_R_PASSED_NULL_PARAMETER) ,"passed null parameter"},
+{ERR_REASON(EC_R_PKPARAMETERS2GROUP_FAILURE),"pkparameters2group failure"},
+{ERR_REASON(EC_R_POINT_AT_INFINITY) ,"point at infinity"},
+{ERR_REASON(EC_R_POINT_IS_NOT_ON_CURVE) ,"point is not on curve"},
+{ERR_REASON(EC_R_SLOT_FULL) ,"slot full"},
+{ERR_REASON(EC_R_UNDEFINED_GENERATOR) ,"undefined generator"},
+{ERR_REASON(EC_R_UNDEFINED_ORDER) ,"undefined order"},
+{ERR_REASON(EC_R_UNKNOWN_GROUP) ,"unknown group"},
+{ERR_REASON(EC_R_UNKNOWN_ORDER) ,"unknown order"},
+{ERR_REASON(EC_R_UNSUPPORTED_FIELD) ,"unsupported field"},
+{ERR_REASON(EC_R_WRONG_ORDER) ,"wrong order"},
+{0,NULL}
+ };
+
+#endif
+
+void ERR_load_EC_strings(void)
+ {
+#ifndef OPENSSL_NO_ERR
+
+ if (ERR_func_error_string(EC_str_functs[0].error) == NULL)
+ {
+ ERR_load_strings(0,EC_str_functs);
+ ERR_load_strings(0,EC_str_reasons);
+ }
+#endif
+ }
diff --git a/openssl/crypto/ec/ec_key.c b/openssl/crypto/ec/ec_key.c
new file mode 100644
index 00000000..522802c0
--- /dev/null
+++ b/openssl/crypto/ec/ec_key.c
@@ -0,0 +1,463 @@
+/* crypto/ec/ec_key.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).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions originally developed by SUN MICROSYSTEMS, INC., and
+ * contributed to the OpenSSL project.
+ */
+
+#include <string.h>
+#include "ec_lcl.h"
+#include <openssl/err.h>
+#include <string.h>
+
+EC_KEY *EC_KEY_new(void)
+ {
+ EC_KEY *ret;
+
+ ret=(EC_KEY *)OPENSSL_malloc(sizeof(EC_KEY));
+ if (ret == NULL)
+ {
+ ECerr(EC_F_EC_KEY_NEW, ERR_R_MALLOC_FAILURE);
+ return(NULL);
+ }
+
+ ret->version = 1;
+ ret->group = NULL;
+ ret->pub_key = NULL;
+ ret->priv_key= NULL;
+ ret->enc_flag= 0;
+ ret->conv_form = POINT_CONVERSION_UNCOMPRESSED;
+ ret->references= 1;
+ ret->method_data = NULL;
+ return(ret);
+ }
+
+EC_KEY *EC_KEY_new_by_curve_name(int nid)
+ {
+ EC_KEY *ret = EC_KEY_new();
+ if (ret == NULL)
+ return NULL;
+ ret->group = EC_GROUP_new_by_curve_name(nid);
+ if (ret->group == NULL)
+ {
+ EC_KEY_free(ret);
+ return NULL;
+ }
+ return ret;
+ }
+
+void EC_KEY_free(EC_KEY *r)
+ {
+ int i;
+
+ if (r == NULL) return;
+
+ i=CRYPTO_add(&r->references,-1,CRYPTO_LOCK_EC);
+#ifdef REF_PRINT
+ REF_PRINT("EC_KEY",r);
+#endif
+ if (i > 0) return;
+#ifdef REF_CHECK
+ if (i < 0)
+ {
+ fprintf(stderr,"EC_KEY_free, bad reference count\n");
+ abort();
+ }
+#endif
+
+ if (r->group != NULL)
+ EC_GROUP_free(r->group);
+ if (r->pub_key != NULL)
+ EC_POINT_free(r->pub_key);
+ if (r->priv_key != NULL)
+ BN_clear_free(r->priv_key);
+
+ EC_EX_DATA_free_all_data(&r->method_data);
+
+ OPENSSL_cleanse((void *)r, sizeof(EC_KEY));
+
+ OPENSSL_free(r);
+ }
+
+EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src)
+ {
+ EC_EXTRA_DATA *d;
+
+ if (dest == NULL || src == NULL)
+ {
+ ECerr(EC_F_EC_KEY_COPY, ERR_R_PASSED_NULL_PARAMETER);
+ return NULL;
+ }
+ /* copy the parameters */
+ if (src->group)
+ {
+ const EC_METHOD *meth = EC_GROUP_method_of(src->group);
+ /* clear the old group */
+ if (dest->group)
+ EC_GROUP_free(dest->group);
+ dest->group = EC_GROUP_new(meth);
+ if (dest->group == NULL)
+ return NULL;
+ if (!EC_GROUP_copy(dest->group, src->group))
+ return NULL;
+ }
+ /* copy the public key */
+ if (src->pub_key && src->group)
+ {
+ if (dest->pub_key)
+ EC_POINT_free(dest->pub_key);
+ dest->pub_key = EC_POINT_new(src->group);
+ if (dest->pub_key == NULL)
+ return NULL;
+ if (!EC_POINT_copy(dest->pub_key, src->pub_key))
+ return NULL;
+ }
+ /* copy the private key */
+ if (src->priv_key)
+ {
+ if (dest->priv_key == NULL)
+ {
+ dest->priv_key = BN_new();
+ if (dest->priv_key == NULL)
+ return NULL;
+ }
+ if (!BN_copy(dest->priv_key, src->priv_key))
+ return NULL;
+ }
+ /* copy method/extra data */
+ EC_EX_DATA_free_all_data(&dest->method_data);
+
+ for (d = src->method_data; d != NULL; d = d->next)
+ {
+ void *t = d->dup_func(d->data);
+
+ if (t == NULL)
+ return 0;
+ if (!EC_EX_DATA_set_data(&dest->method_data, t, d->dup_func, d->free_func, d->clear_free_func))
+ return 0;
+ }
+
+ /* copy the rest */
+ dest->enc_flag = src->enc_flag;
+ dest->conv_form = src->conv_form;
+ dest->version = src->version;
+
+ return dest;
+ }
+
+EC_KEY *EC_KEY_dup(const EC_KEY *ec_key)
+ {
+ EC_KEY *ret = EC_KEY_new();
+ if (ret == NULL)
+ return NULL;
+ if (EC_KEY_copy(ret, ec_key) == NULL)
+ {
+ EC_KEY_free(ret);
+ return NULL;
+ }
+ return ret;
+ }
+
+int EC_KEY_up_ref(EC_KEY *r)
+ {
+ int i = CRYPTO_add(&r->references, 1, CRYPTO_LOCK_EC);
+#ifdef REF_PRINT
+ REF_PRINT("EC_KEY",r);
+#endif
+#ifdef REF_CHECK
+ if (i < 2)
+ {
+ fprintf(stderr, "EC_KEY_up, bad reference count\n");
+ abort();
+ }
+#endif
+ return ((i > 1) ? 1 : 0);
+ }
+
+int EC_KEY_generate_key(EC_KEY *eckey)
+ {
+ int ok = 0;
+ BN_CTX *ctx = NULL;
+ BIGNUM *priv_key = NULL, *order = NULL;
+ EC_POINT *pub_key = NULL;
+
+ if (!eckey || !eckey->group)
+ {
+ ECerr(EC_F_EC_KEY_GENERATE_KEY, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if ((order = BN_new()) == NULL) goto err;
+ if ((ctx = BN_CTX_new()) == NULL) goto err;
+
+ if (eckey->priv_key == NULL)
+ {
+ priv_key = BN_new();
+ if (priv_key == NULL)
+ goto err;
+ }
+ else
+ priv_key = eckey->priv_key;
+
+ if (!EC_GROUP_get_order(eckey->group, order, ctx))
+ goto err;
+
+ do
+ if (!BN_rand_range(priv_key, order))
+ goto err;
+ while (BN_is_zero(priv_key));
+
+ if (eckey->pub_key == NULL)
+ {
+ pub_key = EC_POINT_new(eckey->group);
+ if (pub_key == NULL)
+ goto err;
+ }
+ else
+ pub_key = eckey->pub_key;
+
+ if (!EC_POINT_mul(eckey->group, pub_key, priv_key, NULL, NULL, ctx))
+ goto err;
+
+ eckey->priv_key = priv_key;
+ eckey->pub_key = pub_key;
+
+ ok=1;
+
+err:
+ if (order)
+ BN_free(order);
+ if (pub_key != NULL && eckey->pub_key == NULL)
+ EC_POINT_free(pub_key);
+ if (priv_key != NULL && eckey->priv_key == NULL)
+ BN_free(priv_key);
+ if (ctx != NULL)
+ BN_CTX_free(ctx);
+ return(ok);
+ }
+
+int EC_KEY_check_key(const EC_KEY *eckey)
+ {
+ int ok = 0;
+ BN_CTX *ctx = NULL;
+ const BIGNUM *order = NULL;
+ EC_POINT *point = NULL;
+
+ if (!eckey || !eckey->group || !eckey->pub_key)
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_AT_INFINITY);
+ goto err;
+ }
+
+ if ((ctx = BN_CTX_new()) == NULL)
+ goto err;
+ if ((point = EC_POINT_new(eckey->group)) == NULL)
+ goto err;
+
+ /* testing whether the pub_key is on the elliptic curve */
+ if (!EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
+ goto err;
+ }
+ /* testing whether pub_key * order is the point at infinity */
+ order = &eckey->group->order;
+ if (BN_is_zero(order))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
+ goto err;
+ }
+ if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (!EC_POINT_is_at_infinity(eckey->group, point))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
+ goto err;
+ }
+ /* in case the priv_key is present :
+ * check if generator * priv_key == pub_key
+ */
+ if (eckey->priv_key)
+ {
+ if (BN_cmp(eckey->priv_key, order) >= 0)
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
+ goto err;
+ }
+ if (!EC_POINT_mul(eckey->group, point, eckey->priv_key,
+ NULL, NULL, ctx))
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
+ goto err;
+ }
+ if (EC_POINT_cmp(eckey->group, point, eckey->pub_key,
+ ctx) != 0)
+ {
+ ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
+ goto err;
+ }
+ }
+ ok = 1;
+err:
+ if (ctx != NULL)
+ BN_CTX_free(ctx);
+ if (point != NULL)
+ EC_POINT_free(point);
+ return(ok);
+ }
+
+const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key)
+ {
+ return key->group;
+ }
+
+int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group)
+ {
+ if (key->group != NULL)
+ EC_GROUP_free(key->group);
+ key->group = EC_GROUP_dup(group);
+ return (key->group == NULL) ? 0 : 1;
+ }
+
+const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key)
+ {
+ return key->priv_key;
+ }
+
+int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *priv_key)
+ {
+ if (key->priv_key)
+ BN_clear_free(key->priv_key);
+ key->priv_key = BN_dup(priv_key);
+ return (key->priv_key == NULL) ? 0 : 1;
+ }
+
+const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key)
+ {
+ return key->pub_key;
+ }
+
+int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub_key)
+ {
+ if (key->pub_key != NULL)
+ EC_POINT_free(key->pub_key);
+ key->pub_key = EC_POINT_dup(pub_key, key->group);
+ return (key->pub_key == NULL) ? 0 : 1;
+ }
+
+unsigned int EC_KEY_get_enc_flags(const EC_KEY *key)
+ {
+ return key->enc_flag;
+ }
+
+void EC_KEY_set_enc_flags(EC_KEY *key, unsigned int flags)
+ {
+ key->enc_flag = flags;
+ }
+
+point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key)
+ {
+ return key->conv_form;
+ }
+
+void EC_KEY_set_conv_form(EC_KEY *key, point_conversion_form_t cform)
+ {
+ key->conv_form = cform;
+ if (key->group != NULL)
+ EC_GROUP_set_point_conversion_form(key->group, cform);
+ }
+
+void *EC_KEY_get_key_method_data(EC_KEY *key,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ return EC_EX_DATA_get_data(key->method_data, dup_func, free_func, clear_free_func);
+ }
+
+void EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ EC_EXTRA_DATA *ex_data;
+ CRYPTO_w_lock(CRYPTO_LOCK_EC);
+ ex_data = EC_EX_DATA_get_data(key->method_data, dup_func, free_func, clear_free_func);
+ if (ex_data == NULL)
+ EC_EX_DATA_set_data(&key->method_data, data, dup_func, free_func, clear_free_func);
+ CRYPTO_w_unlock(CRYPTO_LOCK_EC);
+ }
+
+void EC_KEY_set_asn1_flag(EC_KEY *key, int flag)
+ {
+ if (key->group != NULL)
+ EC_GROUP_set_asn1_flag(key->group, flag);
+ }
+
+int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx)
+ {
+ if (key->group == NULL)
+ return 0;
+ return EC_GROUP_precompute_mult(key->group, ctx);
+ }
diff --git a/openssl/crypto/ec/ec_lcl.h b/openssl/crypto/ec/ec_lcl.h
new file mode 100644
index 00000000..3e2c34b0
--- /dev/null
+++ b/openssl/crypto/ec/ec_lcl.h
@@ -0,0 +1,393 @@
+/* crypto/ec/ec_lcl.h */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2003 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 OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+
+#include <stdlib.h>
+
+#include <openssl/obj_mac.h>
+#include <openssl/ec.h>
+#include <openssl/bn.h>
+
+#if defined(__SUNPRO_C)
+# if __SUNPRO_C >= 0x520
+# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
+# endif
+#endif
+
+/* Structure details are not part of the exported interface,
+ * so all this may change in future versions. */
+
+struct ec_method_st {
+ /* used by EC_METHOD_get_field_type: */
+ int field_type; /* a NID */
+
+ /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
+ int (*group_init)(EC_GROUP *);
+ void (*group_finish)(EC_GROUP *);
+ void (*group_clear_finish)(EC_GROUP *);
+ int (*group_copy)(EC_GROUP *, const EC_GROUP *);
+
+ /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
+ /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
+ int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+ int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+
+ /* used by EC_GROUP_get_degree: */
+ int (*group_get_degree)(const EC_GROUP *);
+
+ /* used by EC_GROUP_check: */
+ int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
+
+ /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
+ int (*point_init)(EC_POINT *);
+ void (*point_finish)(EC_POINT *);
+ void (*point_clear_finish)(EC_POINT *);
+ int (*point_copy)(EC_POINT *, const EC_POINT *);
+
+ /* used by EC_POINT_set_to_infinity,
+ * EC_POINT_set_Jprojective_coordinates_GFp,
+ * EC_POINT_get_Jprojective_coordinates_GFp,
+ * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
+ * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
+ * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
+ */
+ int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
+ int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
+ int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
+ int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+ int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+ int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+
+ /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
+ size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *);
+ int (*oct2point)(const EC_GROUP *, EC_POINT *,
+ const unsigned char *buf, size_t len, BN_CTX *);
+
+ /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
+ int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+ int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+ int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
+
+ /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
+ int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
+ int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+ int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+
+ /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
+ int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
+ int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+
+ /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult
+ * (default implementations are used if the 'mul' pointer is 0): */
+ int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+ int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
+ int (*have_precompute_mult)(const EC_GROUP *group);
+
+
+ /* internal functions */
+
+ /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that
+ * the same implementations of point operations can be used with different
+ * optimized implementations of expensive field operations: */
+ int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+ int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+
+ int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */
+ int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */
+ int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
+} /* EC_METHOD */;
+
+typedef struct ec_extra_data_st {
+ struct ec_extra_data_st *next;
+ void *data;
+ void *(*dup_func)(void *);
+ void (*free_func)(void *);
+ void (*clear_free_func)(void *);
+} EC_EXTRA_DATA; /* used in EC_GROUP */
+
+struct ec_group_st {
+ const EC_METHOD *meth;
+
+ EC_POINT *generator; /* optional */
+ BIGNUM order, cofactor;
+
+ int curve_name;/* optional NID for named curve */
+ int asn1_flag; /* flag to control the asn1 encoding */
+ point_conversion_form_t asn1_form;
+
+ unsigned char *seed; /* optional seed for parameters (appears in ASN1) */
+ size_t seed_len;
+
+ EC_EXTRA_DATA *extra_data; /* linked list */
+
+ /* The following members are handled by the method functions,
+ * even if they appear generic */
+
+ BIGNUM field; /* Field specification.
+ * For curves over GF(p), this is the modulus;
+ * for curves over GF(2^m), this is the
+ * irreducible polynomial defining the field.
+ */
+
+ int poly[6]; /* Field specification for curves over GF(2^m).
+ * The irreducible f(t) is then of the form:
+ * t^poly[0] + t^poly[1] + ... + t^poly[k]
+ * where m = poly[0] > poly[1] > ... > poly[k] = 0.
+ * The array is terminated with poly[k+1]=-1.
+ * All elliptic curve irreducibles have at most 5
+ * non-zero terms.
+ */
+
+ BIGNUM a, b; /* Curve coefficients.
+ * (Here the assumption is that BIGNUMs can be used
+ * or abused for all kinds of fields, not just GF(p).)
+ * For characteristic > 3, the curve is defined
+ * by a Weierstrass equation of the form
+ * y^2 = x^3 + a*x + b.
+ * For characteristic 2, the curve is defined by
+ * an equation of the form
+ * y^2 + x*y = x^3 + a*x^2 + b.
+ */
+
+ int a_is_minus3; /* enable optimized point arithmetics for special case */
+
+ void *field_data1; /* method-specific (e.g., Montgomery structure) */
+ void *field_data2; /* method-specific */
+ int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
+} /* EC_GROUP */;
+
+struct ec_key_st {
+ int version;
+
+ EC_GROUP *group;
+
+ EC_POINT *pub_key;
+ BIGNUM *priv_key;
+
+ unsigned int enc_flag;
+ point_conversion_form_t conv_form;
+
+ int references;
+
+ EC_EXTRA_DATA *method_data;
+} /* EC_KEY */;
+
+/* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only
+ * (with visibility limited to 'package' level for now).
+ * We use the function pointers as index for retrieval; this obviates
+ * global ex_data-style index tables.
+ */
+int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_free_data(EC_EXTRA_DATA **,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **);
+void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **);
+
+
+
+struct ec_point_st {
+ const EC_METHOD *meth;
+
+ /* All members except 'meth' are handled by the method functions,
+ * even if they appear generic */
+
+ BIGNUM X;
+ BIGNUM Y;
+ BIGNUM Z; /* Jacobian projective coordinates:
+ * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
+ int Z_is_one; /* enable optimized point arithmetics for special case */
+} /* EC_POINT */;
+
+
+
+/* method functions in ec_mult.c
+ * (ec_lib.c uses these as defaults if group->method->mul is 0) */
+int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
+int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
+
+
+/* method functions in ecp_smpl.c */
+int ec_GFp_simple_group_init(EC_GROUP *);
+void ec_GFp_simple_group_finish(EC_GROUP *);
+void ec_GFp_simple_group_clear_finish(EC_GROUP *);
+int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_group_get_degree(const EC_GROUP *);
+int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
+int ec_GFp_simple_point_init(EC_POINT *);
+void ec_GFp_simple_point_finish(EC_POINT *);
+void ec_GFp_simple_point_clear_finish(EC_POINT *);
+int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
+int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
+int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
+int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
+int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *);
+int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *,
+ const unsigned char *buf, size_t len, BN_CTX *);
+int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
+int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+
+
+/* method functions in ecp_mont.c */
+int ec_GFp_mont_group_init(EC_GROUP *);
+int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+void ec_GFp_mont_group_finish(EC_GROUP *);
+void ec_GFp_mont_group_clear_finish(EC_GROUP *);
+int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
+
+
+/* method functions in ecp_nist.c */
+int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
+int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+
+
+/* method functions in ec2_smpl.c */
+int ec_GF2m_simple_group_init(EC_GROUP *);
+void ec_GF2m_simple_group_finish(EC_GROUP *);
+void ec_GF2m_simple_group_clear_finish(EC_GROUP *);
+int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_group_get_degree(const EC_GROUP *);
+int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
+int ec_GF2m_simple_point_init(EC_POINT *);
+void ec_GF2m_simple_point_finish(EC_POINT *);
+void ec_GF2m_simple_point_clear_finish(EC_POINT *);
+int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *);
+int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
+int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *);
+int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *);
+int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *,
+ const unsigned char *buf, size_t len, BN_CTX *);
+int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
+int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
+
+
+/* method functions in ec2_mult.c */
+int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
diff --git a/openssl/crypto/ec/ec_lib.c b/openssl/crypto/ec/ec_lib.c
new file mode 100644
index 00000000..dd7da0fc
--- /dev/null
+++ b/openssl/crypto/ec/ec_lib.c
@@ -0,0 +1,1164 @@
+/* crypto/ec/ec_lib.c */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2003 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.
+ * Binary polynomial ECC support in OpenSSL originally developed by
+ * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
+ */
+
+#include <string.h>
+
+#include <openssl/err.h>
+#include <openssl/opensslv.h>
+
+#include "ec_lcl.h"
+
+static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
+
+
+/* functions for EC_GROUP objects */
+
+EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
+ {
+ EC_GROUP *ret;
+
+ if (meth == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
+ return NULL;
+ }
+ if (meth->group_init == 0)
+ {
+ ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return NULL;
+ }
+
+ ret = OPENSSL_malloc(sizeof *ret);
+ if (ret == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+
+ ret->meth = meth;
+
+ ret->extra_data = NULL;
+
+ ret->generator = NULL;
+ BN_init(&ret->order);
+ BN_init(&ret->cofactor);
+
+ ret->curve_name = 0;
+ ret->asn1_flag = 0;
+ ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
+
+ ret->seed = NULL;
+ ret->seed_len = 0;
+
+ if (!meth->group_init(ret))
+ {
+ OPENSSL_free(ret);
+ return NULL;
+ }
+
+ return ret;
+ }
+
+
+void EC_GROUP_free(EC_GROUP *group)
+ {
+ if (!group) return;
+
+ if (group->meth->group_finish != 0)
+ group->meth->group_finish(group);
+
+ EC_EX_DATA_free_all_data(&group->extra_data);
+
+ if (group->generator != NULL)
+ EC_POINT_free(group->generator);
+ BN_free(&group->order);
+ BN_free(&group->cofactor);
+
+ if (group->seed)
+ OPENSSL_free(group->seed);
+
+ OPENSSL_free(group);
+ }
+
+
+void EC_GROUP_clear_free(EC_GROUP *group)
+ {
+ if (!group) return;
+
+ if (group->meth->group_clear_finish != 0)
+ group->meth->group_clear_finish(group);
+ else if (group->meth->group_finish != 0)
+ group->meth->group_finish(group);
+
+ EC_EX_DATA_clear_free_all_data(&group->extra_data);
+
+ if (group->generator != NULL)
+ EC_POINT_clear_free(group->generator);
+ BN_clear_free(&group->order);
+ BN_clear_free(&group->cofactor);
+
+ if (group->seed)
+ {
+ OPENSSL_cleanse(group->seed, group->seed_len);
+ OPENSSL_free(group->seed);
+ }
+
+ OPENSSL_cleanse(group, sizeof *group);
+ OPENSSL_free(group);
+ }
+
+
+int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ EC_EXTRA_DATA *d;
+
+ if (dest->meth->group_copy == 0)
+ {
+ ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (dest->meth != src->meth)
+ {
+ ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ if (dest == src)
+ return 1;
+
+ EC_EX_DATA_free_all_data(&dest->extra_data);
+
+ for (d = src->extra_data; d != NULL; d = d->next)
+ {
+ void *t = d->dup_func(d->data);
+
+ if (t == NULL)
+ return 0;
+ if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func))
+ return 0;
+ }
+
+ if (src->generator != NULL)
+ {
+ if (dest->generator == NULL)
+ {
+ dest->generator = EC_POINT_new(dest);
+ if (dest->generator == NULL) return 0;
+ }
+ if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
+ }
+ else
+ {
+ /* src->generator == NULL */
+ if (dest->generator != NULL)
+ {
+ EC_POINT_clear_free(dest->generator);
+ dest->generator = NULL;
+ }
+ }
+
+ if (!BN_copy(&dest->order, &src->order)) return 0;
+ if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
+
+ dest->curve_name = src->curve_name;
+ dest->asn1_flag = src->asn1_flag;
+ dest->asn1_form = src->asn1_form;
+
+ if (src->seed)
+ {
+ if (dest->seed)
+ OPENSSL_free(dest->seed);
+ dest->seed = OPENSSL_malloc(src->seed_len);
+ if (dest->seed == NULL)
+ return 0;
+ if (!memcpy(dest->seed, src->seed, src->seed_len))
+ return 0;
+ dest->seed_len = src->seed_len;
+ }
+ else
+ {
+ if (dest->seed)
+ OPENSSL_free(dest->seed);
+ dest->seed = NULL;
+ dest->seed_len = 0;
+ }
+
+
+ return dest->meth->group_copy(dest, src);
+ }
+
+
+EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
+ {
+ EC_GROUP *t = NULL;
+ int ok = 0;
+
+ if (a == NULL) return NULL;
+
+ if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
+ if (!EC_GROUP_copy(t, a)) goto err;
+
+ ok = 1;
+
+ err:
+ if (!ok)
+ {
+ if (t) EC_GROUP_free(t);
+ return NULL;
+ }
+ else return t;
+ }
+
+
+const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
+ {
+ return group->meth;
+ }
+
+
+int EC_METHOD_get_field_type(const EC_METHOD *meth)
+ {
+ return meth->field_type;
+ }
+
+
+int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
+ {
+ if (generator == NULL)
+ {
+ ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
+ return 0 ;
+ }
+
+ if (group->generator == NULL)
+ {
+ group->generator = EC_POINT_new(group);
+ if (group->generator == NULL) return 0;
+ }
+ if (!EC_POINT_copy(group->generator, generator)) return 0;
+
+ if (order != NULL)
+ { if (!BN_copy(&group->order, order)) return 0; }
+ else
+ BN_zero(&group->order);
+
+ if (cofactor != NULL)
+ { if (!BN_copy(&group->cofactor, cofactor)) return 0; }
+ else
+ BN_zero(&group->cofactor);
+
+ return 1;
+ }
+
+
+const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
+ {
+ return group->generator;
+ }
+
+
+int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
+ {
+ if (!BN_copy(order, &group->order))
+ return 0;
+
+ return !BN_is_zero(order);
+ }
+
+
+int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
+ {
+ if (!BN_copy(cofactor, &group->cofactor))
+ return 0;
+
+ return !BN_is_zero(&group->cofactor);
+ }
+
+
+void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
+ {
+ group->curve_name = nid;
+ }
+
+
+int EC_GROUP_get_curve_name(const EC_GROUP *group)
+ {
+ return group->curve_name;
+ }
+
+
+void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
+ {
+ group->asn1_flag = flag;
+ }
+
+
+int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
+ {
+ return group->asn1_flag;
+ }
+
+
+void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
+ point_conversion_form_t form)
+ {
+ group->asn1_form = form;
+ }
+
+
+point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group)
+ {
+ return group->asn1_form;
+ }
+
+
+size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
+ {
+ if (group->seed)
+ {
+ OPENSSL_free(group->seed);
+ group->seed = NULL;
+ group->seed_len = 0;
+ }
+
+ if (!len || !p)
+ return 1;
+
+ if ((group->seed = OPENSSL_malloc(len)) == NULL)
+ return 0;
+ memcpy(group->seed, p, len);
+ group->seed_len = len;
+
+ return len;
+ }
+
+
+unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
+ {
+ return group->seed;
+ }
+
+
+size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
+ {
+ return group->seed_len;
+ }
+
+
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ if (group->meth->group_set_curve == 0)
+ {
+ ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_set_curve(group, p, a, b, ctx);
+ }
+
+
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ if (group->meth->group_get_curve == 0)
+ {
+ ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_get_curve(group, p, a, b, ctx);
+ }
+
+
+int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ if (group->meth->group_set_curve == 0)
+ {
+ ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_set_curve(group, p, a, b, ctx);
+ }
+
+
+int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ if (group->meth->group_get_curve == 0)
+ {
+ ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_get_curve(group, p, a, b, ctx);
+ }
+
+
+int EC_GROUP_get_degree(const EC_GROUP *group)
+ {
+ if (group->meth->group_get_degree == 0)
+ {
+ ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_get_degree(group);
+ }
+
+
+int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
+ {
+ if (group->meth->group_check_discriminant == 0)
+ {
+ ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ return group->meth->group_check_discriminant(group, ctx);
+ }
+
+
+int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
+ {
+ int r = 0;
+ BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
+ BN_CTX *ctx_new = NULL;
+
+ /* compare the field types*/
+ if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
+ EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
+ return 1;
+ /* compare the curve name (if present) */
+ if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
+ EC_GROUP_get_curve_name(a) == EC_GROUP_get_curve_name(b))
+ return 0;
+
+ if (!ctx)
+ ctx_new = ctx = BN_CTX_new();
+ if (!ctx)
+ return -1;
+
+ BN_CTX_start(ctx);
+ a1 = BN_CTX_get(ctx);
+ a2 = BN_CTX_get(ctx);
+ a3 = BN_CTX_get(ctx);
+ b1 = BN_CTX_get(ctx);
+ b2 = BN_CTX_get(ctx);
+ b3 = BN_CTX_get(ctx);
+ if (!b3)
+ {
+ BN_CTX_end(ctx);
+ if (ctx_new)
+ BN_CTX_free(ctx);
+ return -1;
+ }
+
+ /* XXX This approach assumes that the external representation
+ * of curves over the same field type is the same.
+ */
+ if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
+ !b->meth->group_get_curve(b, b1, b2, b3, ctx))
+ r = 1;
+
+ if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
+ r = 1;
+
+ /* XXX EC_POINT_cmp() assumes that the methods are equal */
+ if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
+ EC_GROUP_get0_generator(b), ctx))
+ r = 1;
+
+ if (!r)
+ {
+ /* compare the order and cofactor */
+ if (!EC_GROUP_get_order(a, a1, ctx) ||
+ !EC_GROUP_get_order(b, b1, ctx) ||
+ !EC_GROUP_get_cofactor(a, a2, ctx) ||
+ !EC_GROUP_get_cofactor(b, b2, ctx))
+ {
+ BN_CTX_end(ctx);
+ if (ctx_new)
+ BN_CTX_free(ctx);
+ return -1;
+ }
+ if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
+ r = 1;
+ }
+
+ BN_CTX_end(ctx);
+ if (ctx_new)
+ BN_CTX_free(ctx);
+
+ return r;
+ }
+
+
+/* this has 'package' visibility */
+int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ EC_EXTRA_DATA *d;
+
+ if (ex_data == NULL)
+ return 0;
+
+ for (d = *ex_data; d != NULL; d = d->next)
+ {
+ if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
+ {
+ ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
+ return 0;
+ }
+ }
+
+ if (data == NULL)
+ /* no explicit entry needed */
+ return 1;
+
+ d = OPENSSL_malloc(sizeof *d);
+ if (d == NULL)
+ return 0;
+
+ d->data = data;
+ d->dup_func = dup_func;
+ d->free_func = free_func;
+ d->clear_free_func = clear_free_func;
+
+ d->next = *ex_data;
+ *ex_data = d;
+
+ return 1;
+ }
+
+/* this has 'package' visibility */
+void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ const EC_EXTRA_DATA *d;
+
+ for (d = ex_data; d != NULL; d = d->next)
+ {
+ if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
+ return d->data;
+ }
+
+ return NULL;
+ }
+
+/* this has 'package' visibility */
+void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ EC_EXTRA_DATA **p;
+
+ if (ex_data == NULL)
+ return;
+
+ for (p = ex_data; *p != NULL; p = &((*p)->next))
+ {
+ if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
+ {
+ EC_EXTRA_DATA *next = (*p)->next;
+
+ (*p)->free_func((*p)->data);
+ OPENSSL_free(*p);
+
+ *p = next;
+ return;
+ }
+ }
+ }
+
+/* this has 'package' visibility */
+void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
+ {
+ EC_EXTRA_DATA **p;
+
+ if (ex_data == NULL)
+ return;
+
+ for (p = ex_data; *p != NULL; p = &((*p)->next))
+ {
+ if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
+ {
+ EC_EXTRA_DATA *next = (*p)->next;
+
+ (*p)->clear_free_func((*p)->data);
+ OPENSSL_free(*p);
+
+ *p = next;
+ return;
+ }
+ }
+ }
+
+/* this has 'package' visibility */
+void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
+ {
+ EC_EXTRA_DATA *d;
+
+ if (ex_data == NULL)
+ return;
+
+ d = *ex_data;
+ while (d)
+ {
+ EC_EXTRA_DATA *next = d->next;
+
+ d->free_func(d->data);
+ OPENSSL_free(d);
+
+ d = next;
+ }
+ *ex_data = NULL;
+ }
+
+/* this has 'package' visibility */
+void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
+ {
+ EC_EXTRA_DATA *d;
+
+ if (ex_data == NULL)
+ return;
+
+ d = *ex_data;
+ while (d)
+ {
+ EC_EXTRA_DATA *next = d->next;
+
+ d->clear_free_func(d->data);
+ OPENSSL_free(d);
+
+ d = next;
+ }
+ *ex_data = NULL;
+ }
+
+
+/* functions for EC_POINT objects */
+
+EC_POINT *EC_POINT_new(const EC_GROUP *group)
+ {
+ EC_POINT *ret;
+
+ if (group == NULL)
+ {
+ ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
+ return NULL;
+ }
+ if (group->meth->point_init == 0)
+ {
+ ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return NULL;
+ }
+
+ ret = OPENSSL_malloc(sizeof *ret);
+ if (ret == NULL)
+ {
+ ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
+ return NULL;
+ }
+
+ ret->meth = group->meth;
+
+ if (!ret->meth->point_init(ret))
+ {
+ OPENSSL_free(ret);
+ return NULL;
+ }
+
+ return ret;
+ }
+
+
+void EC_POINT_free(EC_POINT *point)
+ {
+ if (!point) return;
+
+ if (point->meth->point_finish != 0)
+ point->meth->point_finish(point);
+ OPENSSL_free(point);
+ }
+
+
+void EC_POINT_clear_free(EC_POINT *point)
+ {
+ if (!point) return;
+
+ if (point->meth->point_clear_finish != 0)
+ point->meth->point_clear_finish(point);
+ else if (point->meth->point_finish != 0)
+ point->meth->point_finish(point);
+ OPENSSL_cleanse(point, sizeof *point);
+ OPENSSL_free(point);
+ }
+
+
+int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
+ {
+ if (dest->meth->point_copy == 0)
+ {
+ ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (dest->meth != src->meth)
+ {
+ ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ if (dest == src)
+ return 1;
+ return dest->meth->point_copy(dest, src);
+ }
+
+
+EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
+ {
+ EC_POINT *t;
+ int r;
+
+ if (a == NULL) return NULL;
+
+ t = EC_POINT_new(group);
+ if (t == NULL) return(NULL);
+ r = EC_POINT_copy(t, a);
+ if (!r)
+ {
+ EC_POINT_free(t);
+ return NULL;
+ }
+ else return t;
+ }
+
+
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
+ {
+ return point->meth;
+ }
+
+
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
+ {
+ if (group->meth->point_set_to_infinity == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_to_infinity(group, point);
+ }
+
+
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
+ {
+ if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
+ }
+
+
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
+ {
+ if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
+ {
+ ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
+ }
+
+
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
+ {
+ if (group->meth->point_set_affine_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
+ }
+
+
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
+ {
+ if (group->meth->point_set_affine_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
+ }
+
+
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
+ {
+ if (group->meth->point_get_affine_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
+ }
+
+
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
+ {
+ if (group->meth->point_get_affine_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
+ }
+
+
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx)
+ {
+ if (group->meth->point_set_compressed_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
+ }
+
+
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx)
+ {
+ if (group->meth->point_set_compressed_coordinates == 0)
+ {
+ ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_set_compressed_coordinates(group, point, x, y_bit, ctx);
+ }
+
+
+size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ if (group->meth->point2oct == 0)
+ {
+ ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point2oct(group, point, form, buf, len, ctx);
+ }
+
+
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
+ const unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ if (group->meth->oct2point == 0)
+ {
+ ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->oct2point(group, point, buf, len, ctx);
+ }
+
+
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ if (group->meth->add == 0)
+ {
+ ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
+ {
+ ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->add(group, r, a, b, ctx);
+ }
+
+
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
+ {
+ if (group->meth->dbl == 0)
+ {
+ ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if ((group->meth != r->meth) || (r->meth != a->meth))
+ {
+ ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->dbl(group, r, a, ctx);
+ }
+
+
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
+ {
+ if (group->meth->dbl == 0)
+ {
+ ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != a->meth)
+ {
+ ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->invert(group, a, ctx);
+ }
+
+
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
+ {
+ if (group->meth->is_at_infinity == 0)
+ {
+ ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->is_at_infinity(group, point);
+ }
+
+
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
+ {
+ if (group->meth->is_on_curve == 0)
+ {
+ ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->is_on_curve(group, point, ctx);
+ }
+
+
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ if (group->meth->point_cmp == 0)
+ {
+ ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if ((group->meth != a->meth) || (a->meth != b->meth))
+ {
+ ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->point_cmp(group, a, b, ctx);
+ }
+
+
+int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ if (group->meth->make_affine == 0)
+ {
+ ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ if (group->meth != point->meth)
+ {
+ ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ return group->meth->make_affine(group, point, ctx);
+ }
+
+
+int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
+ {
+ size_t i;
+
+ if (group->meth->points_make_affine == 0)
+ {
+ ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ return 0;
+ }
+ for (i = 0; i < num; i++)
+ {
+ if (group->meth != points[i]->meth)
+ {
+ ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ }
+ return group->meth->points_make_affine(group, num, points, ctx);
+ }
+
+
+/* Functions for point multiplication.
+ *
+ * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
+ * otherwise we dispatch through methods.
+ */
+
+int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
+ {
+ if (group->meth->mul == 0)
+ /* use default */
+ return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
+
+ return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
+ }
+
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
+ const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
+ {
+ /* just a convenient interface to EC_POINTs_mul() */
+
+ const EC_POINT *points[1];
+ const BIGNUM *scalars[1];
+
+ points[0] = point;
+ scalars[0] = p_scalar;
+
+ return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx);
+ }
+
+int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+ {
+ if (group->meth->mul == 0)
+ /* use default */
+ return ec_wNAF_precompute_mult(group, ctx);
+
+ if (group->meth->precompute_mult != 0)
+ return group->meth->precompute_mult(group, ctx);
+ else
+ return 1; /* nothing to do, so report success */
+ }
+
+int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
+ {
+ if (group->meth->mul == 0)
+ /* use default */
+ return ec_wNAF_have_precompute_mult(group);
+
+ if (group->meth->have_precompute_mult != 0)
+ return group->meth->have_precompute_mult(group);
+ else
+ return 0; /* cannot tell whether precomputation has been performed */
+ }
diff --git a/openssl/crypto/ec/ec_mult.c b/openssl/crypto/ec/ec_mult.c
new file mode 100644
index 00000000..19f21675
--- /dev/null
+++ b/openssl/crypto/ec/ec_mult.c
@@ -0,0 +1,940 @@
+/* crypto/ec/ec_mult.c */
+/*
+ * Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2007 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).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
+
+#include <string.h>
+
+#include <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+/*
+ * This file implements the wNAF-based interleaving multi-exponentation method
+ * (<URL:http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#multiexp>);
+ * for multiplication with precomputation, we use wNAF splitting
+ * (<URL:http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#fastexp>).
+ */
+
+
+
+
+/* structure for precomputed multiples of the generator */
+typedef struct ec_pre_comp_st {
+ const EC_GROUP *group; /* parent EC_GROUP object */
+ size_t blocksize; /* block size for wNAF splitting */
+ size_t numblocks; /* max. number of blocks for which we have precomputation */
+ size_t w; /* window size */
+ EC_POINT **points; /* array with pre-calculated multiples of generator:
+ * 'num' pointers to EC_POINT objects followed by a NULL */
+ size_t num; /* numblocks * 2^(w-1) */
+ int references;
+} EC_PRE_COMP;
+
+/* functions to manage EC_PRE_COMP within the EC_GROUP extra_data framework */
+static void *ec_pre_comp_dup(void *);
+static void ec_pre_comp_free(void *);
+static void ec_pre_comp_clear_free(void *);
+
+static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP *group)
+ {
+ EC_PRE_COMP *ret = NULL;
+
+ if (!group)
+ return NULL;
+
+ ret = (EC_PRE_COMP *)OPENSSL_malloc(sizeof(EC_PRE_COMP));
+ if (!ret)
+ {
+ ECerr(EC_F_EC_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE);
+ return ret;
+ }
+ ret->group = group;
+ ret->blocksize = 8; /* default */
+ ret->numblocks = 0;
+ ret->w = 4; /* default */
+ ret->points = NULL;
+ ret->num = 0;
+ ret->references = 1;
+ return ret;
+ }
+
+static void *ec_pre_comp_dup(void *src_)
+ {
+ EC_PRE_COMP *src = src_;
+
+ /* no need to actually copy, these objects never change! */
+
+ CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP);
+
+ return src_;
+ }
+
+static void ec_pre_comp_free(void *pre_)
+ {
+ int i;
+ EC_PRE_COMP *pre = pre_;
+
+ if (!pre)
+ return;
+
+ i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP);
+ if (i > 0)
+ return;
+
+ if (pre->points)
+ {
+ EC_POINT **p;
+
+ for (p = pre->points; *p != NULL; p++)
+ EC_POINT_free(*p);
+ OPENSSL_free(pre->points);
+ }
+ OPENSSL_free(pre);
+ }
+
+static void ec_pre_comp_clear_free(void *pre_)
+ {
+ int i;
+ EC_PRE_COMP *pre = pre_;
+
+ if (!pre)
+ return;
+
+ i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP);
+ if (i > 0)
+ return;
+
+ if (pre->points)
+ {
+ EC_POINT **p;
+
+ for (p = pre->points; *p != NULL; p++)
+ {
+ EC_POINT_clear_free(*p);
+ OPENSSL_cleanse(p, sizeof *p);
+ }
+ OPENSSL_free(pre->points);
+ }
+ OPENSSL_cleanse(pre, sizeof *pre);
+ OPENSSL_free(pre);
+ }
+
+
+
+
+/* Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'.
+ * This is an array r[] of values that are either zero or odd with an
+ * absolute value less than 2^w satisfying
+ * scalar = \sum_j r[j]*2^j
+ * where at most one of any w+1 consecutive digits is non-zero
+ * with the exception that the most significant digit may be only
+ * w-1 zeros away from that next non-zero digit.
+ */
+static signed char *compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len)
+ {
+ int window_val;
+ int ok = 0;
+ signed char *r = NULL;
+ int sign = 1;
+ int bit, next_bit, mask;
+ size_t len = 0, j;
+
+ if (BN_is_zero(scalar))
+ {
+ r = OPENSSL_malloc(1);
+ if (!r)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ r[0] = 0;
+ *ret_len = 1;
+ return r;
+ }
+
+ if (w <= 0 || w > 7) /* 'signed char' can represent integers with absolute values less than 2^7 */
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ bit = 1 << w; /* at most 128 */
+ next_bit = bit << 1; /* at most 256 */
+ mask = next_bit - 1; /* at most 255 */
+
+ if (BN_is_negative(scalar))
+ {
+ sign = -1;
+ }
+
+ if (scalar->d == NULL || scalar->top == 0)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ len = BN_num_bits(scalar);
+ r = OPENSSL_malloc(len + 1); /* modified wNAF may be one digit longer than binary representation
+ * (*ret_len will be set to the actual length, i.e. at most
+ * BN_num_bits(scalar) + 1) */
+ if (r == NULL)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ window_val = scalar->d[0] & mask;
+ j = 0;
+ while ((window_val != 0) || (j + w + 1 < len)) /* if j+w+1 >= len, window_val will not increase */
+ {
+ int digit = 0;
+
+ /* 0 <= window_val <= 2^(w+1) */
+
+ if (window_val & 1)
+ {
+ /* 0 < window_val < 2^(w+1) */
+
+ if (window_val & bit)
+ {
+ digit = window_val - next_bit; /* -2^w < digit < 0 */
+
+#if 1 /* modified wNAF */
+ if (j + w + 1 >= len)
+ {
+ /* special case for generating modified wNAFs:
+ * no new bits will be added into window_val,
+ * so using a positive digit here will decrease
+ * the total length of the representation */
+
+ digit = window_val & (mask >> 1); /* 0 < digit < 2^w */
+ }
+#endif
+ }
+ else
+ {
+ digit = window_val; /* 0 < digit < 2^w */
+ }
+
+ if (digit <= -bit || digit >= bit || !(digit & 1))
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ window_val -= digit;
+
+ /* now window_val is 0 or 2^(w+1) in standard wNAF generation;
+ * for modified window NAFs, it may also be 2^w
+ */
+ if (window_val != 0 && window_val != next_bit && window_val != bit)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+
+ r[j++] = sign * digit;
+
+ window_val >>= 1;
+ window_val += bit * BN_is_bit_set(scalar, j + w);
+
+ if (window_val > next_bit)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+
+ if (j > len + 1)
+ {
+ ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ len = j;
+ ok = 1;
+
+ err:
+ if (!ok)
+ {
+ OPENSSL_free(r);
+ r = NULL;
+ }
+ if (ok)
+ *ret_len = len;
+ return r;
+ }
+
+
+/* TODO: table should be optimised for the wNAF-based implementation,
+ * sometimes smaller windows will give better performance
+ * (thus the boundaries should be increased)
+ */
+#define EC_window_bits_for_scalar_size(b) \
+ ((size_t) \
+ ((b) >= 2000 ? 6 : \
+ (b) >= 800 ? 5 : \
+ (b) >= 300 ? 4 : \
+ (b) >= 70 ? 3 : \
+ (b) >= 20 ? 2 : \
+ 1))
+
+/* Compute
+ * \sum scalars[i]*points[i],
+ * also including
+ * scalar*generator
+ * in the addition if scalar != NULL
+ */
+int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ const EC_POINT *generator = NULL;
+ EC_POINT *tmp = NULL;
+ size_t totalnum;
+ size_t blocksize = 0, numblocks = 0; /* for wNAF splitting */
+ size_t pre_points_per_block = 0;
+ size_t i, j;
+ int k;
+ int r_is_inverted = 0;
+ int r_is_at_infinity = 1;
+ size_t *wsize = NULL; /* individual window sizes */
+ signed char **wNAF = NULL; /* individual wNAFs */
+ size_t *wNAF_len = NULL;
+ size_t max_len = 0;
+ size_t num_val;
+ EC_POINT **val = NULL; /* precomputation */
+ EC_POINT **v;
+ EC_POINT ***val_sub = NULL; /* pointers to sub-arrays of 'val' or 'pre_comp->points' */
+ const EC_PRE_COMP *pre_comp = NULL;
+ int num_scalar = 0; /* flag: will be set to 1 if 'scalar' must be treated like other scalars,
+ * i.e. precomputation is not available */
+ int ret = 0;
+
+ if (group->meth != r->meth)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+
+ if ((scalar == NULL) && (num == 0))
+ {
+ return EC_POINT_set_to_infinity(group, r);
+ }
+
+ for (i = 0; i < num; i++)
+ {
+ if (group->meth != points[i]->meth)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ goto err;
+ }
+
+ if (scalar != NULL)
+ {
+ generator = EC_GROUP_get0_generator(group);
+ if (generator == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR);
+ goto err;
+ }
+
+ /* look if we can use precomputed multiples of generator */
+
+ pre_comp = EC_EX_DATA_get_data(group->extra_data, ec_pre_comp_dup, ec_pre_comp_free, ec_pre_comp_clear_free);
+
+ if (pre_comp && pre_comp->numblocks && (EC_POINT_cmp(group, generator, pre_comp->points[0], ctx) == 0))
+ {
+ blocksize = pre_comp->blocksize;
+
+ /* determine maximum number of blocks that wNAF splitting may yield
+ * (NB: maximum wNAF length is bit length plus one) */
+ numblocks = (BN_num_bits(scalar) / blocksize) + 1;
+
+ /* we cannot use more blocks than we have precomputation for */
+ if (numblocks > pre_comp->numblocks)
+ numblocks = pre_comp->numblocks;
+
+ pre_points_per_block = (size_t)1 << (pre_comp->w - 1);
+
+ /* check that pre_comp looks sane */
+ if (pre_comp->num != (pre_comp->numblocks * pre_points_per_block))
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+ else
+ {
+ /* can't use precomputation */
+ pre_comp = NULL;
+ numblocks = 1;
+ num_scalar = 1; /* treat 'scalar' like 'num'-th element of 'scalars' */
+ }
+ }
+
+ totalnum = num + numblocks;
+
+ wsize = OPENSSL_malloc(totalnum * sizeof wsize[0]);
+ wNAF_len = OPENSSL_malloc(totalnum * sizeof wNAF_len[0]);
+ wNAF = OPENSSL_malloc((totalnum + 1) * sizeof wNAF[0]); /* includes space for pivot */
+ val_sub = OPENSSL_malloc(totalnum * sizeof val_sub[0]);
+
+ if (!wsize || !wNAF_len || !wNAF || !val_sub)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ wNAF[0] = NULL; /* preliminary pivot */
+
+ /* num_val will be the total number of temporarily precomputed points */
+ num_val = 0;
+
+ for (i = 0; i < num + num_scalar; i++)
+ {
+ size_t bits;
+
+ bits = i < num ? BN_num_bits(scalars[i]) : BN_num_bits(scalar);
+ wsize[i] = EC_window_bits_for_scalar_size(bits);
+ num_val += (size_t)1 << (wsize[i] - 1);
+ wNAF[i + 1] = NULL; /* make sure we always have a pivot */
+ wNAF[i] = compute_wNAF((i < num ? scalars[i] : scalar), wsize[i], &wNAF_len[i]);
+ if (wNAF[i] == NULL)
+ goto err;
+ if (wNAF_len[i] > max_len)
+ max_len = wNAF_len[i];
+ }
+
+ if (numblocks)
+ {
+ /* we go here iff scalar != NULL */
+
+ if (pre_comp == NULL)
+ {
+ if (num_scalar != 1)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ /* we have already generated a wNAF for 'scalar' */
+ }
+ else
+ {
+ signed char *tmp_wNAF = NULL;
+ size_t tmp_len = 0;
+
+ if (num_scalar != 0)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ /* use the window size for which we have precomputation */
+ wsize[num] = pre_comp->w;
+ tmp_wNAF = compute_wNAF(scalar, wsize[num], &tmp_len);
+ if (!tmp_wNAF)
+ goto err;
+
+ if (tmp_len <= max_len)
+ {
+ /* One of the other wNAFs is at least as long
+ * as the wNAF belonging to the generator,
+ * so wNAF splitting will not buy us anything. */
+
+ numblocks = 1;
+ totalnum = num + 1; /* don't use wNAF splitting */
+ wNAF[num] = tmp_wNAF;
+ wNAF[num + 1] = NULL;
+ wNAF_len[num] = tmp_len;
+ if (tmp_len > max_len)
+ max_len = tmp_len;
+ /* pre_comp->points starts with the points that we need here: */
+ val_sub[num] = pre_comp->points;
+ }
+ else
+ {
+ /* don't include tmp_wNAF directly into wNAF array
+ * - use wNAF splitting and include the blocks */
+
+ signed char *pp;
+ EC_POINT **tmp_points;
+
+ if (tmp_len < numblocks * blocksize)
+ {
+ /* possibly we can do with fewer blocks than estimated */
+ numblocks = (tmp_len + blocksize - 1) / blocksize;
+ if (numblocks > pre_comp->numblocks)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ totalnum = num + numblocks;
+ }
+
+ /* split wNAF in 'numblocks' parts */
+ pp = tmp_wNAF;
+ tmp_points = pre_comp->points;
+
+ for (i = num; i < totalnum; i++)
+ {
+ if (i < totalnum - 1)
+ {
+ wNAF_len[i] = blocksize;
+ if (tmp_len < blocksize)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ tmp_len -= blocksize;
+ }
+ else
+ /* last block gets whatever is left
+ * (this could be more or less than 'blocksize'!) */
+ wNAF_len[i] = tmp_len;
+
+ wNAF[i + 1] = NULL;
+ wNAF[i] = OPENSSL_malloc(wNAF_len[i]);
+ if (wNAF[i] == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
+ OPENSSL_free(tmp_wNAF);
+ goto err;
+ }
+ memcpy(wNAF[i], pp, wNAF_len[i]);
+ if (wNAF_len[i] > max_len)
+ max_len = wNAF_len[i];
+
+ if (*tmp_points == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ OPENSSL_free(tmp_wNAF);
+ goto err;
+ }
+ val_sub[i] = tmp_points;
+ tmp_points += pre_points_per_block;
+ pp += blocksize;
+ }
+ OPENSSL_free(tmp_wNAF);
+ }
+ }
+ }
+
+ /* All points we precompute now go into a single array 'val'.
+ * 'val_sub[i]' is a pointer to the subarray for the i-th point,
+ * or to a subarray of 'pre_comp->points' if we already have precomputation. */
+ val = OPENSSL_malloc((num_val + 1) * sizeof val[0]);
+ if (val == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ val[num_val] = NULL; /* pivot element */
+
+ /* allocate points for precomputation */
+ v = val;
+ for (i = 0; i < num + num_scalar; i++)
+ {
+ val_sub[i] = v;
+ for (j = 0; j < ((size_t)1 << (wsize[i] - 1)); j++)
+ {
+ *v = EC_POINT_new(group);
+ if (*v == NULL) goto err;
+ v++;
+ }
+ }
+ if (!(v == val + num_val))
+ {
+ ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ if (!(tmp = EC_POINT_new(group)))
+ goto err;
+
+ /* prepare precomputed values:
+ * val_sub[i][0] := points[i]
+ * val_sub[i][1] := 3 * points[i]
+ * val_sub[i][2] := 5 * points[i]
+ * ...
+ */
+ for (i = 0; i < num + num_scalar; i++)
+ {
+ if (i < num)
+ {
+ if (!EC_POINT_copy(val_sub[i][0], points[i])) goto err;
+ }
+ else
+ {
+ if (!EC_POINT_copy(val_sub[i][0], generator)) goto err;
+ }
+
+ if (wsize[i] > 1)
+ {
+ if (!EC_POINT_dbl(group, tmp, val_sub[i][0], ctx)) goto err;
+ for (j = 1; j < ((size_t)1 << (wsize[i] - 1)); j++)
+ {
+ if (!EC_POINT_add(group, val_sub[i][j], val_sub[i][j - 1], tmp, ctx)) goto err;
+ }
+ }
+ }
+
+#if 1 /* optional; EC_window_bits_for_scalar_size assumes we do this step */
+ if (!EC_POINTs_make_affine(group, num_val, val, ctx))
+ goto err;
+#endif
+
+ r_is_at_infinity = 1;
+
+ for (k = max_len - 1; k >= 0; k--)
+ {
+ if (!r_is_at_infinity)
+ {
+ if (!EC_POINT_dbl(group, r, r, ctx)) goto err;
+ }
+
+ for (i = 0; i < totalnum; i++)
+ {
+ if (wNAF_len[i] > (size_t)k)
+ {
+ int digit = wNAF[i][k];
+ int is_neg;
+
+ if (digit)
+ {
+ is_neg = digit < 0;
+
+ if (is_neg)
+ digit = -digit;
+
+ if (is_neg != r_is_inverted)
+ {
+ if (!r_is_at_infinity)
+ {
+ if (!EC_POINT_invert(group, r, ctx)) goto err;
+ }
+ r_is_inverted = !r_is_inverted;
+ }
+
+ /* digit > 0 */
+
+ if (r_is_at_infinity)
+ {
+ if (!EC_POINT_copy(r, val_sub[i][digit >> 1])) goto err;
+ r_is_at_infinity = 0;
+ }
+ else
+ {
+ if (!EC_POINT_add(group, r, r, val_sub[i][digit >> 1], ctx)) goto err;
+ }
+ }
+ }
+ }
+ }
+
+ if (r_is_at_infinity)
+ {
+ if (!EC_POINT_set_to_infinity(group, r)) goto err;
+ }
+ else
+ {
+ if (r_is_inverted)
+ if (!EC_POINT_invert(group, r, ctx)) goto err;
+ }
+
+ ret = 1;
+
+ err:
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ if (tmp != NULL)
+ EC_POINT_free(tmp);
+ if (wsize != NULL)
+ OPENSSL_free(wsize);
+ if (wNAF_len != NULL)
+ OPENSSL_free(wNAF_len);
+ if (wNAF != NULL)
+ {
+ signed char **w;
+
+ for (w = wNAF; *w != NULL; w++)
+ OPENSSL_free(*w);
+
+ OPENSSL_free(wNAF);
+ }
+ if (val != NULL)
+ {
+ for (v = val; *v != NULL; v++)
+ EC_POINT_clear_free(*v);
+
+ OPENSSL_free(val);
+ }
+ if (val_sub != NULL)
+ {
+ OPENSSL_free(val_sub);
+ }
+ return ret;
+ }
+
+
+/* ec_wNAF_precompute_mult()
+ * creates an EC_PRE_COMP object with preprecomputed multiples of the generator
+ * for use with wNAF splitting as implemented in ec_wNAF_mul().
+ *
+ * 'pre_comp->points' is an array of multiples of the generator
+ * of the following form:
+ * points[0] = generator;
+ * points[1] = 3 * generator;
+ * ...
+ * points[2^(w-1)-1] = (2^(w-1)-1) * generator;
+ * points[2^(w-1)] = 2^blocksize * generator;
+ * points[2^(w-1)+1] = 3 * 2^blocksize * generator;
+ * ...
+ * points[2^(w-1)*(numblocks-1)-1] = (2^(w-1)) * 2^(blocksize*(numblocks-2)) * generator
+ * points[2^(w-1)*(numblocks-1)] = 2^(blocksize*(numblocks-1)) * generator
+ * ...
+ * points[2^(w-1)*numblocks-1] = (2^(w-1)) * 2^(blocksize*(numblocks-1)) * generator
+ * points[2^(w-1)*numblocks] = NULL
+ */
+int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
+ {
+ const EC_POINT *generator;
+ EC_POINT *tmp_point = NULL, *base = NULL, **var;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *order;
+ size_t i, bits, w, pre_points_per_block, blocksize, numblocks, num;
+ EC_POINT **points = NULL;
+ EC_PRE_COMP *pre_comp;
+ int ret = 0;
+
+ /* if there is an old EC_PRE_COMP object, throw it away */
+ EC_EX_DATA_free_data(&group->extra_data, ec_pre_comp_dup, ec_pre_comp_free, ec_pre_comp_clear_free);
+
+ if ((pre_comp = ec_pre_comp_new(group)) == NULL)
+ return 0;
+
+ generator = EC_GROUP_get0_generator(group);
+ if (generator == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
+ goto err;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ goto err;
+ }
+
+ BN_CTX_start(ctx);
+ order = BN_CTX_get(ctx);
+ if (order == NULL) goto err;
+
+ if (!EC_GROUP_get_order(group, order, ctx)) goto err;
+ if (BN_is_zero(order))
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
+ goto err;
+ }
+
+ bits = BN_num_bits(order);
+ /* The following parameters mean we precompute (approximately)
+ * one point per bit.
+ *
+ * TBD: The combination 8, 4 is perfect for 160 bits; for other
+ * bit lengths, other parameter combinations might provide better
+ * efficiency.
+ */
+ blocksize = 8;
+ w = 4;
+ if (EC_window_bits_for_scalar_size(bits) > w)
+ {
+ /* let's not make the window too small ... */
+ w = EC_window_bits_for_scalar_size(bits);
+ }
+
+ numblocks = (bits + blocksize - 1) / blocksize; /* max. number of blocks to use for wNAF splitting */
+
+ pre_points_per_block = (size_t)1 << (w - 1);
+ num = pre_points_per_block * numblocks; /* number of points to compute and store */
+
+ points = OPENSSL_malloc(sizeof (EC_POINT*)*(num + 1));
+ if (!points)
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ var = points;
+ var[num] = NULL; /* pivot */
+ for (i = 0; i < num; i++)
+ {
+ if ((var[i] = EC_POINT_new(group)) == NULL)
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+
+ if (!(tmp_point = EC_POINT_new(group)) || !(base = EC_POINT_new(group)))
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+
+ if (!EC_POINT_copy(base, generator))
+ goto err;
+
+ /* do the precomputation */
+ for (i = 0; i < numblocks; i++)
+ {
+ size_t j;
+
+ if (!EC_POINT_dbl(group, tmp_point, base, ctx))
+ goto err;
+
+ if (!EC_POINT_copy(*var++, base))
+ goto err;
+
+ for (j = 1; j < pre_points_per_block; j++, var++)
+ {
+ /* calculate odd multiples of the current base point */
+ if (!EC_POINT_add(group, *var, tmp_point, *(var - 1), ctx))
+ goto err;
+ }
+
+ if (i < numblocks - 1)
+ {
+ /* get the next base (multiply current one by 2^blocksize) */
+ size_t k;
+
+ if (blocksize <= 2)
+ {
+ ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ if (!EC_POINT_dbl(group, base, tmp_point, ctx))
+ goto err;
+ for (k = 2; k < blocksize; k++)
+ {
+ if (!EC_POINT_dbl(group,base,base,ctx))
+ goto err;
+ }
+ }
+ }
+
+ if (!EC_POINTs_make_affine(group, num, points, ctx))
+ goto err;
+
+ pre_comp->group = group;
+ pre_comp->blocksize = blocksize;
+ pre_comp->numblocks = numblocks;
+ pre_comp->w = w;
+ pre_comp->points = points;
+ points = NULL;
+ pre_comp->num = num;
+
+ if (!EC_EX_DATA_set_data(&group->extra_data, pre_comp,
+ ec_pre_comp_dup, ec_pre_comp_free, ec_pre_comp_clear_free))
+ goto err;
+ pre_comp = NULL;
+
+ ret = 1;
+ err:
+ if (ctx != NULL)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ if (pre_comp)
+ ec_pre_comp_free(pre_comp);
+ if (points)
+ {
+ EC_POINT **p;
+
+ for (p = points; *p != NULL; p++)
+ EC_POINT_free(*p);
+ OPENSSL_free(points);
+ }
+ if (tmp_point)
+ EC_POINT_free(tmp_point);
+ if (base)
+ EC_POINT_free(base);
+ return ret;
+ }
+
+
+int ec_wNAF_have_precompute_mult(const EC_GROUP *group)
+ {
+ if (EC_EX_DATA_get_data(group->extra_data, ec_pre_comp_dup, ec_pre_comp_free, ec_pre_comp_clear_free) != NULL)
+ return 1;
+ else
+ return 0;
+ }
diff --git a/openssl/crypto/ec/ec_pmeth.c b/openssl/crypto/ec/ec_pmeth.c
new file mode 100644
index 00000000..f433076c
--- /dev/null
+++ b/openssl/crypto/ec/ec_pmeth.c
@@ -0,0 +1,340 @@
+/* Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL
+ * project 2006.
+ */
+/* ====================================================================
+ * Copyright (c) 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
+ * licensing@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 <openssl/asn1t.h>
+#include <openssl/x509.h>
+#include <openssl/ec.h>
+#include <openssl/ecdsa.h>
+#include <openssl/evp.h>
+#include "evp_locl.h"
+
+/* EC pkey context structure */
+
+typedef struct
+ {
+ /* Key and paramgen group */
+ EC_GROUP *gen_group;
+ /* message digest */
+ const EVP_MD *md;
+ } EC_PKEY_CTX;
+
+static int pkey_ec_init(EVP_PKEY_CTX *ctx)
+ {
+ EC_PKEY_CTX *dctx;
+ dctx = OPENSSL_malloc(sizeof(EC_PKEY_CTX));
+ if (!dctx)
+ return 0;
+ dctx->gen_group = NULL;
+ dctx->md = NULL;
+
+ ctx->data = dctx;
+
+ return 1;
+ }
+
+static int pkey_ec_copy(EVP_PKEY_CTX *dst, EVP_PKEY_CTX *src)
+ {
+ EC_PKEY_CTX *dctx, *sctx;
+ if (!pkey_ec_init(dst))
+ return 0;
+ sctx = src->data;
+ dctx = dst->data;
+ if (sctx->gen_group)
+ {
+ dctx->gen_group = EC_GROUP_dup(sctx->gen_group);
+ if (!dctx->gen_group)
+ return 0;
+ }
+ dctx->md = sctx->md;
+ return 1;
+ }
+
+static void pkey_ec_cleanup(EVP_PKEY_CTX *ctx)
+ {
+ EC_PKEY_CTX *dctx = ctx->data;
+ if (dctx)
+ {
+ if (dctx->gen_group)
+ EC_GROUP_free(dctx->gen_group);
+ OPENSSL_free(dctx);
+ }
+ }
+
+static int pkey_ec_sign(EVP_PKEY_CTX *ctx, unsigned char *sig, size_t *siglen,
+ const unsigned char *tbs, size_t tbslen)
+ {
+ int ret, type;
+ unsigned int sltmp;
+ EC_PKEY_CTX *dctx = ctx->data;
+ EC_KEY *ec = ctx->pkey->pkey.ec;
+
+ if (!sig)
+ {
+ *siglen = ECDSA_size(ec);
+ return 1;
+ }
+ else if(*siglen < (size_t)ECDSA_size(ec))
+ {
+ ECerr(EC_F_PKEY_EC_SIGN, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+
+ if (dctx->md)
+ type = EVP_MD_type(dctx->md);
+ else
+ type = NID_sha1;
+
+
+ ret = ECDSA_sign(type, tbs, tbslen, sig, &sltmp, ec);
+
+ if (ret <= 0)
+ return ret;
+ *siglen = (size_t)sltmp;
+ return 1;
+ }
+
+static int pkey_ec_verify(EVP_PKEY_CTX *ctx,
+ const unsigned char *sig, size_t siglen,
+ const unsigned char *tbs, size_t tbslen)
+ {
+ int ret, type;
+ EC_PKEY_CTX *dctx = ctx->data;
+ EC_KEY *ec = ctx->pkey->pkey.ec;
+
+ if (dctx->md)
+ type = EVP_MD_type(dctx->md);
+ else
+ type = NID_sha1;
+
+ ret = ECDSA_verify(type, tbs, tbslen, sig, siglen, ec);
+
+ return ret;
+ }
+
+static int pkey_ec_derive(EVP_PKEY_CTX *ctx, unsigned char *key, size_t *keylen)
+ {
+ int ret;
+ size_t outlen;
+ const EC_POINT *pubkey = NULL;
+ if (!ctx->pkey || !ctx->peerkey)
+ {
+ ECerr(EC_F_PKEY_EC_DERIVE, EC_R_KEYS_NOT_SET);
+ return 0;
+ }
+
+ if (!key)
+ {
+ const EC_GROUP *group;
+ group = EC_KEY_get0_group(ctx->pkey->pkey.ec);
+ *keylen = (EC_GROUP_get_degree(group) + 7)/8;
+ return 1;
+ }
+
+ pubkey = EC_KEY_get0_public_key(ctx->peerkey->pkey.ec);
+
+ /* NB: unlike PKS#3 DH, if *outlen is less than maximum size this is
+ * not an error, the result is truncated.
+ */
+
+ outlen = *keylen;
+
+ ret = ECDH_compute_key(key, outlen, pubkey, ctx->pkey->pkey.ec, 0);
+ if (ret < 0)
+ return ret;
+ *keylen = ret;
+ return 1;
+ }
+
+static int pkey_ec_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2)
+ {
+ EC_PKEY_CTX *dctx = ctx->data;
+ EC_GROUP *group;
+ switch (type)
+ {
+ case EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID:
+ group = EC_GROUP_new_by_curve_name(p1);
+ if (group == NULL)
+ {
+ ECerr(EC_F_PKEY_EC_CTRL, EC_R_INVALID_CURVE);
+ return 0;
+ }
+ if (dctx->gen_group)
+ EC_GROUP_free(dctx->gen_group);
+ dctx->gen_group = group;
+ return 1;
+
+ case EVP_PKEY_CTRL_MD:
+ if (EVP_MD_type((const EVP_MD *)p2) != NID_sha1 &&
+ EVP_MD_type((const EVP_MD *)p2) != NID_sha224 &&
+ EVP_MD_type((const EVP_MD *)p2) != NID_sha256 &&
+ EVP_MD_type((const EVP_MD *)p2) != NID_sha384 &&
+ EVP_MD_type((const EVP_MD *)p2) != NID_sha512)
+ {
+ ECerr(EC_F_PKEY_EC_CTRL, EC_R_INVALID_DIGEST_TYPE);
+ return 0;
+ }
+ dctx->md = p2;
+ return 1;
+
+ case EVP_PKEY_CTRL_PEER_KEY:
+ /* Default behaviour is OK */
+ case EVP_PKEY_CTRL_DIGESTINIT:
+ case EVP_PKEY_CTRL_PKCS7_SIGN:
+ case EVP_PKEY_CTRL_CMS_SIGN:
+ return 1;
+
+ default:
+ return -2;
+
+ }
+ }
+
+static int pkey_ec_ctrl_str(EVP_PKEY_CTX *ctx,
+ const char *type, const char *value)
+ {
+ if (!strcmp(type, "ec_paramgen_curve"))
+ {
+ int nid;
+ nid = OBJ_sn2nid(value);
+ if (nid == NID_undef)
+ nid = OBJ_ln2nid(value);
+ if (nid == NID_undef)
+ {
+ ECerr(EC_F_PKEY_EC_CTRL_STR, EC_R_INVALID_CURVE);
+ return 0;
+ }
+ return EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid);
+ }
+ return -2;
+ }
+
+static int pkey_ec_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
+ {
+ EC_KEY *ec = NULL;
+ EC_PKEY_CTX *dctx = ctx->data;
+ int ret = 0;
+ if (dctx->gen_group == NULL)
+ {
+ ECerr(EC_F_PKEY_EC_PARAMGEN, EC_R_NO_PARAMETERS_SET);
+ return 0;
+ }
+ ec = EC_KEY_new();
+ if (!ec)
+ return 0;
+ ret = EC_KEY_set_group(ec, dctx->gen_group);
+ if (ret)
+ EVP_PKEY_assign_EC_KEY(pkey, ec);
+ else
+ EC_KEY_free(ec);
+ return ret;
+ }
+
+static int pkey_ec_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey)
+ {
+ EC_KEY *ec = NULL;
+ if (ctx->pkey == NULL)
+ {
+ ECerr(EC_F_PKEY_EC_KEYGEN, EC_R_NO_PARAMETERS_SET);
+ return 0;
+ }
+ ec = EC_KEY_new();
+ if (!ec)
+ return 0;
+ EVP_PKEY_assign_EC_KEY(pkey, ec);
+ /* Note: if error return, pkey is freed by parent routine */
+ if (!EVP_PKEY_copy_parameters(pkey, ctx->pkey))
+ return 0;
+ return EC_KEY_generate_key(pkey->pkey.ec);
+ }
+
+const EVP_PKEY_METHOD ec_pkey_meth =
+ {
+ EVP_PKEY_EC,
+ 0,
+ pkey_ec_init,
+ pkey_ec_copy,
+ pkey_ec_cleanup,
+
+ 0,
+ pkey_ec_paramgen,
+
+ 0,
+ pkey_ec_keygen,
+
+ 0,
+ pkey_ec_sign,
+
+ 0,
+ pkey_ec_verify,
+
+ 0,0,
+
+ 0,0,0,0,
+
+ 0,0,
+
+ 0,0,
+
+ 0,
+ pkey_ec_derive,
+
+ pkey_ec_ctrl,
+ pkey_ec_ctrl_str
+
+ };
diff --git a/openssl/crypto/ec/ec_print.c b/openssl/crypto/ec/ec_print.c
new file mode 100644
index 00000000..f7c8a303
--- /dev/null
+++ b/openssl/crypto/ec/ec_print.c
@@ -0,0 +1,195 @@
+/* crypto/ec/ec_print.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).
+ *
+ */
+
+#include <openssl/crypto.h>
+#include "ec_lcl.h"
+
+BIGNUM *EC_POINT_point2bn(const EC_GROUP *group,
+ const EC_POINT *point,
+ point_conversion_form_t form,
+ BIGNUM *ret,
+ BN_CTX *ctx)
+ {
+ size_t buf_len=0;
+ unsigned char *buf;
+
+ buf_len = EC_POINT_point2oct(group, point, form,
+ NULL, 0, ctx);
+ if (buf_len == 0)
+ return NULL;
+
+ if ((buf = OPENSSL_malloc(buf_len)) == NULL)
+ return NULL;
+
+ if (!EC_POINT_point2oct(group, point, form, buf, buf_len, ctx))
+ {
+ OPENSSL_free(buf);
+ return NULL;
+ }
+
+ ret = BN_bin2bn(buf, buf_len, ret);
+
+ OPENSSL_free(buf);
+
+ return ret;
+}
+
+EC_POINT *EC_POINT_bn2point(const EC_GROUP *group,
+ const BIGNUM *bn,
+ EC_POINT *point,
+ BN_CTX *ctx)
+ {
+ size_t buf_len=0;
+ unsigned char *buf;
+ EC_POINT *ret;
+
+ if ((buf_len = BN_num_bytes(bn)) == 0) return NULL;
+ buf = OPENSSL_malloc(buf_len);
+ if (buf == NULL)
+ return NULL;
+
+ if (!BN_bn2bin(bn, buf))
+ {
+ OPENSSL_free(buf);
+ return NULL;
+ }
+
+ if (point == NULL)
+ {
+ if ((ret = EC_POINT_new(group)) == NULL)
+ {
+ OPENSSL_free(buf);
+ return NULL;
+ }
+ }
+ else
+ ret = point;
+
+ if (!EC_POINT_oct2point(group, ret, buf, buf_len, ctx))
+ {
+ if (point == NULL)
+ EC_POINT_clear_free(ret);
+ OPENSSL_free(buf);
+ return NULL;
+ }
+
+ OPENSSL_free(buf);
+ return ret;
+ }
+
+static const char *HEX_DIGITS = "0123456789ABCDEF";
+
+/* the return value must be freed (using OPENSSL_free()) */
+char *EC_POINT_point2hex(const EC_GROUP *group,
+ const EC_POINT *point,
+ point_conversion_form_t form,
+ BN_CTX *ctx)
+ {
+ char *ret, *p;
+ size_t buf_len=0,i;
+ unsigned char *buf, *pbuf;
+
+ buf_len = EC_POINT_point2oct(group, point, form,
+ NULL, 0, ctx);
+ if (buf_len == 0)
+ return NULL;
+
+ if ((buf = OPENSSL_malloc(buf_len)) == NULL)
+ return NULL;
+
+ if (!EC_POINT_point2oct(group, point, form, buf, buf_len, ctx))
+ {
+ OPENSSL_free(buf);
+ return NULL;
+ }
+
+ ret = (char *)OPENSSL_malloc(buf_len*2+2);
+ if (ret == NULL)
+ {
+ OPENSSL_free(buf);
+ return NULL;
+ }
+ p = ret;
+ pbuf = buf;
+ for (i=buf_len; i > 0; i--)
+ {
+ int v = (int) *(pbuf++);
+ *(p++)=HEX_DIGITS[v>>4];
+ *(p++)=HEX_DIGITS[v&0x0F];
+ }
+ *p='\0';
+
+ OPENSSL_free(buf);
+
+ return ret;
+ }
+
+EC_POINT *EC_POINT_hex2point(const EC_GROUP *group,
+ const char *buf,
+ EC_POINT *point,
+ BN_CTX *ctx)
+ {
+ EC_POINT *ret=NULL;
+ BIGNUM *tmp_bn=NULL;
+
+ if (!BN_hex2bn(&tmp_bn, buf))
+ return NULL;
+
+ ret = EC_POINT_bn2point(group, tmp_bn, point, ctx);
+
+ BN_clear_free(tmp_bn);
+
+ return ret;
+ }
diff --git a/openssl/crypto/ec/eck_prn.c b/openssl/crypto/ec/eck_prn.c
new file mode 100644
index 00000000..7d3e175a
--- /dev/null
+++ b/openssl/crypto/ec/eck_prn.c
@@ -0,0 +1,391 @@
+/* crypto/ec/eck_prn.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).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions originally developed by SUN MICROSYSTEMS, INC., and
+ * contributed to the OpenSSL project.
+ */
+
+#include <stdio.h>
+#include "cryptlib.h"
+#include <openssl/evp.h>
+#include <openssl/ec.h>
+#include <openssl/bn.h>
+
+#ifndef OPENSSL_NO_FP_API
+int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off)
+ {
+ BIO *b;
+ int ret;
+
+ if ((b=BIO_new(BIO_s_file())) == NULL)
+ {
+ ECerr(EC_F_ECPKPARAMETERS_PRINT_FP,ERR_R_BUF_LIB);
+ return(0);
+ }
+ BIO_set_fp(b, fp, BIO_NOCLOSE);
+ ret = ECPKParameters_print(b, x, off);
+ BIO_free(b);
+ return(ret);
+ }
+
+int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off)
+ {
+ BIO *b;
+ int ret;
+
+ if ((b=BIO_new(BIO_s_file())) == NULL)
+ {
+ ECerr(EC_F_EC_KEY_PRINT_FP, ERR_R_BIO_LIB);
+ return(0);
+ }
+ BIO_set_fp(b, fp, BIO_NOCLOSE);
+ ret = EC_KEY_print(b, x, off);
+ BIO_free(b);
+ return(ret);
+ }
+
+int ECParameters_print_fp(FILE *fp, const EC_KEY *x)
+ {
+ BIO *b;
+ int ret;
+
+ if ((b=BIO_new(BIO_s_file())) == NULL)
+ {
+ ECerr(EC_F_ECPARAMETERS_PRINT_FP, ERR_R_BIO_LIB);
+ return(0);
+ }
+ BIO_set_fp(b, fp, BIO_NOCLOSE);
+ ret = ECParameters_print(b, x);
+ BIO_free(b);
+ return(ret);
+ }
+#endif
+
+int EC_KEY_print(BIO *bp, const EC_KEY *x, int off)
+ {
+ EVP_PKEY *pk;
+ int ret;
+ pk = EVP_PKEY_new();
+ if (!pk || !EVP_PKEY_set1_EC_KEY(pk, (EC_KEY *)x))
+ return 0;
+ ret = EVP_PKEY_print_private(bp, pk, off, NULL);
+ EVP_PKEY_free(pk);
+ return ret;
+ }
+
+int ECParameters_print(BIO *bp, const EC_KEY *x)
+ {
+ EVP_PKEY *pk;
+ int ret;
+ pk = EVP_PKEY_new();
+ if (!pk || !EVP_PKEY_set1_EC_KEY(pk, (EC_KEY *)x))
+ return 0;
+ ret = EVP_PKEY_print_params(bp, pk, 4, NULL);
+ EVP_PKEY_free(pk);
+ return ret;
+ }
+
+static int print_bin(BIO *fp, const char *str, const unsigned char *num,
+ size_t len, int off);
+
+int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off)
+ {
+ unsigned char *buffer=NULL;
+ size_t buf_len=0, i;
+ int ret=0, reason=ERR_R_BIO_LIB;
+ BN_CTX *ctx=NULL;
+ const EC_POINT *point=NULL;
+ BIGNUM *p=NULL, *a=NULL, *b=NULL, *gen=NULL,
+ *order=NULL, *cofactor=NULL;
+ const unsigned char *seed;
+ size_t seed_len=0;
+
+ static const char *gen_compressed = "Generator (compressed):";
+ static const char *gen_uncompressed = "Generator (uncompressed):";
+ static const char *gen_hybrid = "Generator (hybrid):";
+
+ if (!x)
+ {
+ reason = ERR_R_PASSED_NULL_PARAMETER;
+ goto err;
+ }
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ reason = ERR_R_MALLOC_FAILURE;
+ goto err;
+ }
+
+ if (EC_GROUP_get_asn1_flag(x))
+ {
+ /* the curve parameter are given by an asn1 OID */
+ int nid;
+
+ if (!BIO_indent(bp, off, 128))
+ goto err;
+
+ nid = EC_GROUP_get_curve_name(x);
+ if (nid == 0)
+ goto err;
+
+ if (BIO_printf(bp, "ASN1 OID: %s", OBJ_nid2sn(nid)) <= 0)
+ goto err;
+ if (BIO_printf(bp, "\n") <= 0)
+ goto err;
+ }
+ else
+ {
+ /* explicit parameters */
+ int is_char_two = 0;
+ point_conversion_form_t form;
+ int tmp_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(x));
+
+ if (tmp_nid == NID_X9_62_characteristic_two_field)
+ is_char_two = 1;
+
+ if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
+ (b = BN_new()) == NULL || (order = BN_new()) == NULL ||
+ (cofactor = BN_new()) == NULL)
+ {
+ reason = ERR_R_MALLOC_FAILURE;
+ goto err;
+ }
+
+ if (is_char_two)
+ {
+ if (!EC_GROUP_get_curve_GF2m(x, p, a, b, ctx))
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+ }
+ else /* prime field */
+ {
+ if (!EC_GROUP_get_curve_GFp(x, p, a, b, ctx))
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+ }
+
+ if ((point = EC_GROUP_get0_generator(x)) == NULL)
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+ if (!EC_GROUP_get_order(x, order, NULL) ||
+ !EC_GROUP_get_cofactor(x, cofactor, NULL))
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+
+ form = EC_GROUP_get_point_conversion_form(x);
+
+ if ((gen = EC_POINT_point2bn(x, point,
+ form, NULL, ctx)) == NULL)
+ {
+ reason = ERR_R_EC_LIB;
+ goto err;
+ }
+
+ buf_len = (size_t)BN_num_bytes(p);
+ if (buf_len < (i = (size_t)BN_num_bytes(a)))
+ buf_len = i;
+ if (buf_len < (i = (size_t)BN_num_bytes(b)))
+ buf_len = i;
+ if (buf_len < (i = (size_t)BN_num_bytes(gen)))
+ buf_len = i;
+ if (buf_len < (i = (size_t)BN_num_bytes(order)))
+ buf_len = i;
+ if (buf_len < (i = (size_t)BN_num_bytes(cofactor)))
+ buf_len = i;
+
+ if ((seed = EC_GROUP_get0_seed(x)) != NULL)
+ seed_len = EC_GROUP_get_seed_len(x);
+
+ buf_len += 10;
+ if ((buffer = OPENSSL_malloc(buf_len)) == NULL)
+ {
+ reason = ERR_R_MALLOC_FAILURE;
+ goto err;
+ }
+
+ if (!BIO_indent(bp, off, 128))
+ goto err;
+
+ /* print the 'short name' of the field type */
+ if (BIO_printf(bp, "Field Type: %s\n", OBJ_nid2sn(tmp_nid))
+ <= 0)
+ goto err;
+
+ if (is_char_two)
+ {
+ /* print the 'short name' of the base type OID */
+ int basis_type = EC_GROUP_get_basis_type(x);
+ if (basis_type == 0)
+ goto err;
+
+ if (!BIO_indent(bp, off, 128))
+ goto err;
+
+ if (BIO_printf(bp, "Basis Type: %s\n",
+ OBJ_nid2sn(basis_type)) <= 0)
+ goto err;
+
+ /* print the polynomial */
+ if ((p != NULL) && !ASN1_bn_print(bp, "Polynomial:", p, buffer,
+ off))
+ goto err;
+ }
+ else
+ {
+ if ((p != NULL) && !ASN1_bn_print(bp, "Prime:", p, buffer,off))
+ goto err;
+ }
+ if ((a != NULL) && !ASN1_bn_print(bp, "A: ", a, buffer, off))
+ goto err;
+ if ((b != NULL) && !ASN1_bn_print(bp, "B: ", b, buffer, off))
+ goto err;
+ if (form == POINT_CONVERSION_COMPRESSED)
+ {
+ if ((gen != NULL) && !ASN1_bn_print(bp, gen_compressed, gen,
+ buffer, off))
+ goto err;
+ }
+ else if (form == POINT_CONVERSION_UNCOMPRESSED)
+ {
+ if ((gen != NULL) && !ASN1_bn_print(bp, gen_uncompressed, gen,
+ buffer, off))
+ goto err;
+ }
+ else /* form == POINT_CONVERSION_HYBRID */
+ {
+ if ((gen != NULL) && !ASN1_bn_print(bp, gen_hybrid, gen,
+ buffer, off))
+ goto err;
+ }
+ if ((order != NULL) && !ASN1_bn_print(bp, "Order: ", order,
+ buffer, off)) goto err;
+ if ((cofactor != NULL) && !ASN1_bn_print(bp, "Cofactor: ", cofactor,
+ buffer, off)) goto err;
+ if (seed && !print_bin(bp, "Seed:", seed, seed_len, off))
+ goto err;
+ }
+ ret=1;
+err:
+ if (!ret)
+ ECerr(EC_F_ECPKPARAMETERS_PRINT, reason);
+ if (p)
+ BN_free(p);
+ if (a)
+ BN_free(a);
+ if (b)
+ BN_free(b);
+ if (gen)
+ BN_free(gen);
+ if (order)
+ BN_free(order);
+ if (cofactor)
+ BN_free(cofactor);
+ if (ctx)
+ BN_CTX_free(ctx);
+ if (buffer != NULL)
+ OPENSSL_free(buffer);
+ return(ret);
+ }
+
+static int print_bin(BIO *fp, const char *name, const unsigned char *buf,
+ size_t len, int off)
+ {
+ size_t i;
+ char str[128];
+
+ if (buf == NULL)
+ return 1;
+ if (off)
+ {
+ if (off > 128)
+ off=128;
+ memset(str,' ',off);
+ if (BIO_write(fp, str, off) <= 0)
+ return 0;
+ }
+
+ if (BIO_printf(fp,"%s", name) <= 0)
+ return 0;
+
+ for (i=0; i<len; i++)
+ {
+ if ((i%15) == 0)
+ {
+ str[0]='\n';
+ memset(&(str[1]),' ',off+4);
+ if (BIO_write(fp, str, off+1+4) <= 0)
+ return 0;
+ }
+ if (BIO_printf(fp,"%02x%s",buf[i],((i+1) == len)?"":":") <= 0)
+ return 0;
+ }
+ if (BIO_write(fp,"\n",1) <= 0)
+ return 0;
+
+ return 1;
+ }
diff --git a/openssl/crypto/ec/ecp_mont.c b/openssl/crypto/ec/ecp_mont.c
new file mode 100644
index 00000000..9fc4a466
--- /dev/null
+++ b/openssl/crypto/ec/ecp_mont.c
@@ -0,0 +1,315 @@
+/* crypto/ec/ecp_mont.c */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/* ====================================================================
+ * 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).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
+
+#include <openssl/err.h>
+
+#include "ec_lcl.h"
+
+
+const EC_METHOD *EC_GFp_mont_method(void)
+ {
+ static const EC_METHOD ret = {
+ NID_X9_62_prime_field,
+ ec_GFp_mont_group_init,
+ ec_GFp_mont_group_finish,
+ ec_GFp_mont_group_clear_finish,
+ ec_GFp_mont_group_copy,
+ ec_GFp_mont_group_set_curve,
+ ec_GFp_simple_group_get_curve,
+ ec_GFp_simple_group_get_degree,
+ ec_GFp_simple_group_check_discriminant,
+ ec_GFp_simple_point_init,
+ ec_GFp_simple_point_finish,
+ ec_GFp_simple_point_clear_finish,
+ ec_GFp_simple_point_copy,
+ ec_GFp_simple_point_set_to_infinity,
+ ec_GFp_simple_set_Jprojective_coordinates_GFp,
+ ec_GFp_simple_get_Jprojective_coordinates_GFp,
+ ec_GFp_simple_point_set_affine_coordinates,
+ ec_GFp_simple_point_get_affine_coordinates,
+ ec_GFp_simple_set_compressed_coordinates,
+ ec_GFp_simple_point2oct,
+ ec_GFp_simple_oct2point,
+ ec_GFp_simple_add,
+ ec_GFp_simple_dbl,
+ ec_GFp_simple_invert,
+ ec_GFp_simple_is_at_infinity,
+ ec_GFp_simple_is_on_curve,
+ ec_GFp_simple_cmp,
+ ec_GFp_simple_make_affine,
+ ec_GFp_simple_points_make_affine,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
+ 0 /* have_precompute_mult */,
+ ec_GFp_mont_field_mul,
+ ec_GFp_mont_field_sqr,
+ 0 /* field_div */,
+ ec_GFp_mont_field_encode,
+ ec_GFp_mont_field_decode,
+ ec_GFp_mont_field_set_to_one };
+
+ return &ret;
+ }
+
+
+int ec_GFp_mont_group_init(EC_GROUP *group)
+ {
+ int ok;
+
+ ok = ec_GFp_simple_group_init(group);
+ group->field_data1 = NULL;
+ group->field_data2 = NULL;
+ return ok;
+ }
+
+
+void ec_GFp_mont_group_finish(EC_GROUP *group)
+ {
+ if (group->field_data1 != NULL)
+ {
+ BN_MONT_CTX_free(group->field_data1);
+ group->field_data1 = NULL;
+ }
+ if (group->field_data2 != NULL)
+ {
+ BN_free(group->field_data2);
+ group->field_data2 = NULL;
+ }
+ ec_GFp_simple_group_finish(group);
+ }
+
+
+void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
+ {
+ if (group->field_data1 != NULL)
+ {
+ BN_MONT_CTX_free(group->field_data1);
+ group->field_data1 = NULL;
+ }
+ if (group->field_data2 != NULL)
+ {
+ BN_clear_free(group->field_data2);
+ group->field_data2 = NULL;
+ }
+ ec_GFp_simple_group_clear_finish(group);
+ }
+
+
+int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ if (dest->field_data1 != NULL)
+ {
+ BN_MONT_CTX_free(dest->field_data1);
+ dest->field_data1 = NULL;
+ }
+ if (dest->field_data2 != NULL)
+ {
+ BN_clear_free(dest->field_data2);
+ dest->field_data2 = NULL;
+ }
+
+ if (!ec_GFp_simple_group_copy(dest, src)) return 0;
+
+ if (src->field_data1 != NULL)
+ {
+ dest->field_data1 = BN_MONT_CTX_new();
+ if (dest->field_data1 == NULL) return 0;
+ if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) goto err;
+ }
+ if (src->field_data2 != NULL)
+ {
+ dest->field_data2 = BN_dup(src->field_data2);
+ if (dest->field_data2 == NULL) goto err;
+ }
+
+ return 1;
+
+ err:
+ if (dest->field_data1 != NULL)
+ {
+ BN_MONT_CTX_free(dest->field_data1);
+ dest->field_data1 = NULL;
+ }
+ return 0;
+ }
+
+
+int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BN_MONT_CTX *mont = NULL;
+ BIGNUM *one = NULL;
+ int ret = 0;
+
+ if (group->field_data1 != NULL)
+ {
+ BN_MONT_CTX_free(group->field_data1);
+ group->field_data1 = NULL;
+ }
+ if (group->field_data2 != NULL)
+ {
+ BN_free(group->field_data2);
+ group->field_data2 = NULL;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ mont = BN_MONT_CTX_new();
+ if (mont == NULL) goto err;
+ if (!BN_MONT_CTX_set(mont, p, ctx))
+ {
+ ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
+ goto err;
+ }
+ one = BN_new();
+ if (one == NULL) goto err;
+ if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) goto err;
+
+ group->field_data1 = mont;
+ mont = NULL;
+ group->field_data2 = one;
+ one = NULL;
+
+ ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
+
+ if (!ret)
+ {
+ BN_MONT_CTX_free(group->field_data1);
+ group->field_data1 = NULL;
+ BN_free(group->field_data2);
+ group->field_data2 = NULL;
+ }
+
+ err:
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ if (mont != NULL)
+ BN_MONT_CTX_free(mont);
+ return ret;
+ }
+
+
+int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ if (group->field_data1 == NULL)
+ {
+ ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
+ }
+
+
+int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ if (group->field_data1 == NULL)
+ {
+ ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
+ }
+
+
+int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ if (group->field_data1 == NULL)
+ {
+ ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
+ }
+
+
+int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ if (group->field_data1 == NULL)
+ {
+ ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ return BN_from_montgomery(r, a, group->field_data1, ctx);
+ }
+
+
+int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)
+ {
+ if (group->field_data2 == NULL)
+ {
+ ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ if (!BN_copy(r, group->field_data2)) return 0;
+ return 1;
+ }
diff --git a/openssl/crypto/ec/ecp_nist.c b/openssl/crypto/ec/ecp_nist.c
new file mode 100644
index 00000000..2a5682ea
--- /dev/null
+++ b/openssl/crypto/ec/ecp_nist.c
@@ -0,0 +1,210 @@
+/* crypto/ec/ecp_nist.c */
+/*
+ * Written by Nils Larsch for the OpenSSL project.
+ */
+/* ====================================================================
+ * Copyright (c) 1998-2003 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 this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
+
+#include <limits.h>
+
+#include <openssl/err.h>
+#include <openssl/obj_mac.h>
+#include "ec_lcl.h"
+
+const EC_METHOD *EC_GFp_nist_method(void)
+ {
+ static const EC_METHOD ret = {
+ NID_X9_62_prime_field,
+ ec_GFp_simple_group_init,
+ ec_GFp_simple_group_finish,
+ ec_GFp_simple_group_clear_finish,
+ ec_GFp_nist_group_copy,
+ ec_GFp_nist_group_set_curve,
+ ec_GFp_simple_group_get_curve,
+ ec_GFp_simple_group_get_degree,
+ ec_GFp_simple_group_check_discriminant,
+ ec_GFp_simple_point_init,
+ ec_GFp_simple_point_finish,
+ ec_GFp_simple_point_clear_finish,
+ ec_GFp_simple_point_copy,
+ ec_GFp_simple_point_set_to_infinity,
+ ec_GFp_simple_set_Jprojective_coordinates_GFp,
+ ec_GFp_simple_get_Jprojective_coordinates_GFp,
+ ec_GFp_simple_point_set_affine_coordinates,
+ ec_GFp_simple_point_get_affine_coordinates,
+ ec_GFp_simple_set_compressed_coordinates,
+ ec_GFp_simple_point2oct,
+ ec_GFp_simple_oct2point,
+ ec_GFp_simple_add,
+ ec_GFp_simple_dbl,
+ ec_GFp_simple_invert,
+ ec_GFp_simple_is_at_infinity,
+ ec_GFp_simple_is_on_curve,
+ ec_GFp_simple_cmp,
+ ec_GFp_simple_make_affine,
+ ec_GFp_simple_points_make_affine,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
+ 0 /* have_precompute_mult */,
+ ec_GFp_nist_field_mul,
+ ec_GFp_nist_field_sqr,
+ 0 /* field_div */,
+ 0 /* field_encode */,
+ 0 /* field_decode */,
+ 0 /* field_set_to_one */ };
+
+ return &ret;
+ }
+
+int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ dest->field_mod_func = src->field_mod_func;
+
+ return ec_GFp_simple_group_copy(dest, src);
+ }
+
+int ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p,
+ const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp_bn;
+
+ if (ctx == NULL)
+ if ((ctx = new_ctx = BN_CTX_new()) == NULL) return 0;
+
+ BN_CTX_start(ctx);
+ if ((tmp_bn = BN_CTX_get(ctx)) == NULL) goto err;
+
+ if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0)
+ group->field_mod_func = BN_nist_mod_192;
+ else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0)
+ group->field_mod_func = BN_nist_mod_224;
+ else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0)
+ group->field_mod_func = BN_nist_mod_256;
+ else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0)
+ group->field_mod_func = BN_nist_mod_384;
+ else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0)
+ group->field_mod_func = BN_nist_mod_521;
+ else
+ {
+ ECerr(EC_F_EC_GFP_NIST_GROUP_SET_CURVE, EC_R_NOT_A_NIST_PRIME);
+ goto err;
+ }
+
+ ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret=0;
+ BN_CTX *ctx_new=NULL;
+
+ if (!group || !r || !a || !b)
+ {
+ ECerr(EC_F_EC_GFP_NIST_FIELD_MUL, ERR_R_PASSED_NULL_PARAMETER);
+ goto err;
+ }
+ if (!ctx)
+ if ((ctx_new = ctx = BN_CTX_new()) == NULL) goto err;
+
+ if (!BN_mul(r, a, b, ctx)) goto err;
+ if (!group->field_mod_func(r, r, &group->field, ctx))
+ goto err;
+
+ ret=1;
+err:
+ if (ctx_new)
+ BN_CTX_free(ctx_new);
+ return ret;
+ }
+
+
+int ec_GFp_nist_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *ctx)
+ {
+ int ret=0;
+ BN_CTX *ctx_new=NULL;
+
+ if (!group || !r || !a)
+ {
+ ECerr(EC_F_EC_GFP_NIST_FIELD_SQR, EC_R_PASSED_NULL_PARAMETER);
+ goto err;
+ }
+ if (!ctx)
+ if ((ctx_new = ctx = BN_CTX_new()) == NULL) goto err;
+
+ if (!BN_sqr(r, a, ctx)) goto err;
+ if (!group->field_mod_func(r, r, &group->field, ctx))
+ goto err;
+
+ ret=1;
+err:
+ if (ctx_new)
+ BN_CTX_free(ctx_new);
+ return ret;
+ }
diff --git a/openssl/crypto/ec/ecp_smpl.c b/openssl/crypto/ec/ecp_smpl.c
new file mode 100644
index 00000000..66a92e2a
--- /dev/null
+++ b/openssl/crypto/ec/ecp_smpl.c
@@ -0,0 +1,1719 @@
+/* crypto/ec/ecp_smpl.c */
+/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
+ * for the OpenSSL project.
+ * Includes code written by Bodo Moeller for the OpenSSL project.
+*/
+/* ====================================================================
+ * 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).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
+
+#include <openssl/err.h>
+#include <openssl/symhacks.h>
+
+#include "ec_lcl.h"
+
+const EC_METHOD *EC_GFp_simple_method(void)
+ {
+ static const EC_METHOD ret = {
+ NID_X9_62_prime_field,
+ ec_GFp_simple_group_init,
+ ec_GFp_simple_group_finish,
+ ec_GFp_simple_group_clear_finish,
+ ec_GFp_simple_group_copy,
+ ec_GFp_simple_group_set_curve,
+ ec_GFp_simple_group_get_curve,
+ ec_GFp_simple_group_get_degree,
+ ec_GFp_simple_group_check_discriminant,
+ ec_GFp_simple_point_init,
+ ec_GFp_simple_point_finish,
+ ec_GFp_simple_point_clear_finish,
+ ec_GFp_simple_point_copy,
+ ec_GFp_simple_point_set_to_infinity,
+ ec_GFp_simple_set_Jprojective_coordinates_GFp,
+ ec_GFp_simple_get_Jprojective_coordinates_GFp,
+ ec_GFp_simple_point_set_affine_coordinates,
+ ec_GFp_simple_point_get_affine_coordinates,
+ ec_GFp_simple_set_compressed_coordinates,
+ ec_GFp_simple_point2oct,
+ ec_GFp_simple_oct2point,
+ ec_GFp_simple_add,
+ ec_GFp_simple_dbl,
+ ec_GFp_simple_invert,
+ ec_GFp_simple_is_at_infinity,
+ ec_GFp_simple_is_on_curve,
+ ec_GFp_simple_cmp,
+ ec_GFp_simple_make_affine,
+ ec_GFp_simple_points_make_affine,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
+ 0 /* have_precompute_mult */,
+ ec_GFp_simple_field_mul,
+ ec_GFp_simple_field_sqr,
+ 0 /* field_div */,
+ 0 /* field_encode */,
+ 0 /* field_decode */,
+ 0 /* field_set_to_one */ };
+
+ return &ret;
+ }
+
+
+/* Most method functions in this file are designed to work with
+ * non-trivial representations of field elements if necessary
+ * (see ecp_mont.c): while standard modular addition and subtraction
+ * are used, the field_mul and field_sqr methods will be used for
+ * multiplication, and field_encode and field_decode (if defined)
+ * will be used for converting between representations.
+
+ * Functions ec_GFp_simple_points_make_affine() and
+ * ec_GFp_simple_point_get_affine_coordinates() specifically assume
+ * that if a non-trivial representation is used, it is a Montgomery
+ * representation (i.e. 'encoding' means multiplying by some factor R).
+ */
+
+
+int ec_GFp_simple_group_init(EC_GROUP *group)
+ {
+ BN_init(&group->field);
+ BN_init(&group->a);
+ BN_init(&group->b);
+ group->a_is_minus3 = 0;
+ return 1;
+ }
+
+
+void ec_GFp_simple_group_finish(EC_GROUP *group)
+ {
+ BN_free(&group->field);
+ BN_free(&group->a);
+ BN_free(&group->b);
+ }
+
+
+void ec_GFp_simple_group_clear_finish(EC_GROUP *group)
+ {
+ BN_clear_free(&group->field);
+ BN_clear_free(&group->a);
+ BN_clear_free(&group->b);
+ }
+
+
+int ec_GFp_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src)
+ {
+ if (!BN_copy(&dest->field, &src->field)) return 0;
+ if (!BN_copy(&dest->a, &src->a)) return 0;
+ if (!BN_copy(&dest->b, &src->b)) return 0;
+
+ dest->a_is_minus3 = src->a_is_minus3;
+
+ return 1;
+ }
+
+
+int ec_GFp_simple_group_set_curve(EC_GROUP *group,
+ const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp_a;
+
+ /* p must be a prime > 3 */
+ if (BN_num_bits(p) <= 2 || !BN_is_odd(p))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE, EC_R_INVALID_FIELD);
+ return 0;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ tmp_a = BN_CTX_get(ctx);
+ if (tmp_a == NULL) goto err;
+
+ /* group->field */
+ if (!BN_copy(&group->field, p)) goto err;
+ BN_set_negative(&group->field, 0);
+
+ /* group->a */
+ if (!BN_nnmod(tmp_a, a, p, ctx)) goto err;
+ if (group->meth->field_encode)
+ { if (!group->meth->field_encode(group, &group->a, tmp_a, ctx)) goto err; }
+ else
+ if (!BN_copy(&group->a, tmp_a)) goto err;
+
+ /* group->b */
+ if (!BN_nnmod(&group->b, b, p, ctx)) goto err;
+ if (group->meth->field_encode)
+ if (!group->meth->field_encode(group, &group->b, &group->b, ctx)) goto err;
+
+ /* group->a_is_minus3 */
+ if (!BN_add_word(tmp_a, 3)) goto err;
+ group->a_is_minus3 = (0 == BN_cmp(tmp_a, &group->field));
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BN_CTX *new_ctx = NULL;
+
+ if (p != NULL)
+ {
+ if (!BN_copy(p, &group->field)) return 0;
+ }
+
+ if (a != NULL || b != NULL)
+ {
+ if (group->meth->field_decode)
+ {
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+ if (a != NULL)
+ {
+ if (!group->meth->field_decode(group, a, &group->a, ctx)) goto err;
+ }
+ if (b != NULL)
+ {
+ if (!group->meth->field_decode(group, b, &group->b, ctx)) goto err;
+ }
+ }
+ else
+ {
+ if (a != NULL)
+ {
+ if (!BN_copy(a, &group->a)) goto err;
+ }
+ if (b != NULL)
+ {
+ if (!BN_copy(b, &group->b)) goto err;
+ }
+ }
+ }
+
+ ret = 1;
+
+ err:
+ if (new_ctx)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_group_get_degree(const EC_GROUP *group)
+ {
+ return BN_num_bits(&group->field);
+ }
+
+
+int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
+ {
+ int ret = 0;
+ BIGNUM *a,*b,*order,*tmp_1,*tmp_2;
+ const BIGNUM *p = &group->field;
+ BN_CTX *new_ctx = NULL;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE);
+ goto err;
+ }
+ }
+ BN_CTX_start(ctx);
+ a = BN_CTX_get(ctx);
+ b = BN_CTX_get(ctx);
+ tmp_1 = BN_CTX_get(ctx);
+ tmp_2 = BN_CTX_get(ctx);
+ order = BN_CTX_get(ctx);
+ if (order == NULL) goto err;
+
+ if (group->meth->field_decode)
+ {
+ if (!group->meth->field_decode(group, a, &group->a, ctx)) goto err;
+ if (!group->meth->field_decode(group, b, &group->b, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_copy(a, &group->a)) goto err;
+ if (!BN_copy(b, &group->b)) goto err;
+ }
+
+ /* check the discriminant:
+ * y^2 = x^3 + a*x + b is an elliptic curve <=> 4*a^3 + 27*b^2 != 0 (mod p)
+ * 0 =< a, b < p */
+ if (BN_is_zero(a))
+ {
+ if (BN_is_zero(b)) goto err;
+ }
+ else if (!BN_is_zero(b))
+ {
+ if (!BN_mod_sqr(tmp_1, a, p, ctx)) goto err;
+ if (!BN_mod_mul(tmp_2, tmp_1, a, p, ctx)) goto err;
+ if (!BN_lshift(tmp_1, tmp_2, 2)) goto err;
+ /* tmp_1 = 4*a^3 */
+
+ if (!BN_mod_sqr(tmp_2, b, p, ctx)) goto err;
+ if (!BN_mul_word(tmp_2, 27)) goto err;
+ /* tmp_2 = 27*b^2 */
+
+ if (!BN_mod_add(a, tmp_1, tmp_2, p, ctx)) goto err;
+ if (BN_is_zero(a)) goto err;
+ }
+ ret = 1;
+
+err:
+ if (ctx != NULL)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_point_init(EC_POINT *point)
+ {
+ BN_init(&point->X);
+ BN_init(&point->Y);
+ BN_init(&point->Z);
+ point->Z_is_one = 0;
+
+ return 1;
+ }
+
+
+void ec_GFp_simple_point_finish(EC_POINT *point)
+ {
+ BN_free(&point->X);
+ BN_free(&point->Y);
+ BN_free(&point->Z);
+ }
+
+
+void ec_GFp_simple_point_clear_finish(EC_POINT *point)
+ {
+ BN_clear_free(&point->X);
+ BN_clear_free(&point->Y);
+ BN_clear_free(&point->Z);
+ point->Z_is_one = 0;
+ }
+
+
+int ec_GFp_simple_point_copy(EC_POINT *dest, const EC_POINT *src)
+ {
+ if (!BN_copy(&dest->X, &src->X)) return 0;
+ if (!BN_copy(&dest->Y, &src->Y)) return 0;
+ if (!BN_copy(&dest->Z, &src->Z)) return 0;
+ dest->Z_is_one = src->Z_is_one;
+
+ return 1;
+ }
+
+
+int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
+ {
+ point->Z_is_one = 0;
+ BN_zero(&point->Z);
+ return 1;
+ }
+
+
+int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ int ret = 0;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ if (x != NULL)
+ {
+ if (!BN_nnmod(&point->X, x, &group->field, ctx)) goto err;
+ if (group->meth->field_encode)
+ {
+ if (!group->meth->field_encode(group, &point->X, &point->X, ctx)) goto err;
+ }
+ }
+
+ if (y != NULL)
+ {
+ if (!BN_nnmod(&point->Y, y, &group->field, ctx)) goto err;
+ if (group->meth->field_encode)
+ {
+ if (!group->meth->field_encode(group, &point->Y, &point->Y, ctx)) goto err;
+ }
+ }
+
+ if (z != NULL)
+ {
+ int Z_is_one;
+
+ if (!BN_nnmod(&point->Z, z, &group->field, ctx)) goto err;
+ Z_is_one = BN_is_one(&point->Z);
+ if (group->meth->field_encode)
+ {
+ if (Z_is_one && (group->meth->field_set_to_one != 0))
+ {
+ if (!group->meth->field_set_to_one(group, &point->Z, ctx)) goto err;
+ }
+ else
+ {
+ if (!group->meth->field_encode(group, &point->Z, &point->Z, ctx)) goto err;
+ }
+ }
+ point->Z_is_one = Z_is_one;
+ }
+
+ ret = 1;
+
+ err:
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ int ret = 0;
+
+ if (group->meth->field_decode != 0)
+ {
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ if (x != NULL)
+ {
+ if (!group->meth->field_decode(group, x, &point->X, ctx)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!group->meth->field_decode(group, y, &point->Y, ctx)) goto err;
+ }
+ if (z != NULL)
+ {
+ if (!group->meth->field_decode(group, z, &point->Z, ctx)) goto err;
+ }
+ }
+ else
+ {
+ if (x != NULL)
+ {
+ if (!BN_copy(x, &point->X)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!BN_copy(y, &point->Y)) goto err;
+ }
+ if (z != NULL)
+ {
+ if (!BN_copy(z, &point->Z)) goto err;
+ }
+ }
+
+ ret = 1;
+
+ err:
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
+ {
+ if (x == NULL || y == NULL)
+ {
+ /* unlike for projective coordinates, we do not tolerate this */
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES, ERR_R_PASSED_NULL_PARAMETER);
+ return 0;
+ }
+
+ return EC_POINT_set_Jprojective_coordinates_GFp(group, point, x, y, BN_value_one(), ctx);
+ }
+
+
+int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *Z, *Z_1, *Z_2, *Z_3;
+ const BIGNUM *Z_;
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, point))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
+ return 0;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ Z = BN_CTX_get(ctx);
+ Z_1 = BN_CTX_get(ctx);
+ Z_2 = BN_CTX_get(ctx);
+ Z_3 = BN_CTX_get(ctx);
+ if (Z_3 == NULL) goto err;
+
+ /* transform (X, Y, Z) into (x, y) := (X/Z^2, Y/Z^3) */
+
+ if (group->meth->field_decode)
+ {
+ if (!group->meth->field_decode(group, Z, &point->Z, ctx)) goto err;
+ Z_ = Z;
+ }
+ else
+ {
+ Z_ = &point->Z;
+ }
+
+ if (BN_is_one(Z_))
+ {
+ if (group->meth->field_decode)
+ {
+ if (x != NULL)
+ {
+ if (!group->meth->field_decode(group, x, &point->X, ctx)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!group->meth->field_decode(group, y, &point->Y, ctx)) goto err;
+ }
+ }
+ else
+ {
+ if (x != NULL)
+ {
+ if (!BN_copy(x, &point->X)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!BN_copy(y, &point->Y)) goto err;
+ }
+ }
+ }
+ else
+ {
+ if (!BN_mod_inverse(Z_1, Z_, &group->field, ctx))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if (group->meth->field_encode == 0)
+ {
+ /* field_sqr works on standard representation */
+ if (!group->meth->field_sqr(group, Z_2, Z_1, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_mod_sqr(Z_2, Z_1, &group->field, ctx)) goto err;
+ }
+
+ if (x != NULL)
+ {
+ /* in the Montgomery case, field_mul will cancel out Montgomery factor in X: */
+ if (!group->meth->field_mul(group, x, &point->X, Z_2, ctx)) goto err;
+ }
+
+ if (y != NULL)
+ {
+ if (group->meth->field_encode == 0)
+ {
+ /* field_mul works on standard representation */
+ if (!group->meth->field_mul(group, Z_3, Z_2, Z_1, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_mod_mul(Z_3, Z_2, Z_1, &group->field, ctx)) goto err;
+ }
+
+ /* in the Montgomery case, field_mul will cancel out Montgomery factor in Y: */
+ if (!group->meth->field_mul(group, y, &point->Y, Z_3, ctx)) goto err;
+ }
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
+ const BIGNUM *x_, int y_bit, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp1, *tmp2, *x, *y;
+ int ret = 0;
+
+ /* clear error queue*/
+ ERR_clear_error();
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ y_bit = (y_bit != 0);
+
+ BN_CTX_start(ctx);
+ tmp1 = BN_CTX_get(ctx);
+ tmp2 = BN_CTX_get(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto err;
+
+ /* Recover y. We have a Weierstrass equation
+ * y^2 = x^3 + a*x + b,
+ * so y is one of the square roots of x^3 + a*x + b.
+ */
+
+ /* tmp1 := x^3 */
+ if (!BN_nnmod(x, x_, &group->field,ctx)) goto err;
+ if (group->meth->field_decode == 0)
+ {
+ /* field_{sqr,mul} work on standard representation */
+ if (!group->meth->field_sqr(group, tmp2, x_, ctx)) goto err;
+ if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_mod_sqr(tmp2, x_, &group->field, ctx)) goto err;
+ if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) goto err;
+ }
+
+ /* tmp1 := tmp1 + a*x */
+ if (group->a_is_minus3)
+ {
+ if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) goto err;
+ if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) goto err;
+ if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
+ }
+ else
+ {
+ if (group->meth->field_decode)
+ {
+ if (!group->meth->field_decode(group, tmp2, &group->a, ctx)) goto err;
+ if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) goto err;
+ }
+ else
+ {
+ /* field_mul works on standard representation */
+ if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) goto err;
+ }
+
+ if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
+ }
+
+ /* tmp1 := tmp1 + b */
+ if (group->meth->field_decode)
+ {
+ if (!group->meth->field_decode(group, tmp2, &group->b, ctx)) goto err;
+ if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) goto err;
+ }
+ else
+ {
+ if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) goto err;
+ }
+
+ if (!BN_mod_sqrt(y, tmp1, &group->field, ctx))
+ {
+ unsigned long err = ERR_peek_last_error();
+
+ if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE)
+ {
+ ERR_clear_error();
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
+ }
+ else
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
+ goto err;
+ }
+
+ if (y_bit != BN_is_odd(y))
+ {
+ if (BN_is_zero(y))
+ {
+ int kron;
+
+ kron = BN_kronecker(x, &group->field, ctx);
+ if (kron == -2) goto err;
+
+ if (kron == 1)
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSION_BIT);
+ else
+ /* BN_mod_sqrt() should have cought this error (not a square) */
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
+ goto err;
+ }
+ if (!BN_usub(y, &group->field, y)) goto err;
+ }
+ if (y_bit != BN_is_odd(y))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ size_t ret;
+ BN_CTX *new_ctx = NULL;
+ int used_ctx = 0;
+ BIGNUM *x, *y;
+ size_t field_len, i, skip;
+
+ if ((form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
+ goto err;
+ }
+
+ if (EC_POINT_is_at_infinity(group, point))
+ {
+ /* encodes to a single 0 octet */
+ if (buf != NULL)
+ {
+ if (len < 1)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+ buf[0] = 0;
+ }
+ return 1;
+ }
+
+
+ /* ret := required output buffer length */
+ field_len = BN_num_bytes(&group->field);
+ ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
+
+ /* if 'buf' is NULL, just return required length */
+ if (buf != NULL)
+ {
+ if (len < ret)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
+ goto err;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ used_ctx = 1;
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
+
+ if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
+ buf[0] = form + 1;
+ else
+ buf[0] = form;
+
+ i = 1;
+
+ skip = field_len - BN_num_bytes(x);
+ if (skip > field_len)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ while (skip > 0)
+ {
+ buf[i++] = 0;
+ skip--;
+ }
+ skip = BN_bn2bin(x, buf + i);
+ i += skip;
+ if (i != 1 + field_len)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID)
+ {
+ skip = field_len - BN_num_bytes(y);
+ if (skip > field_len)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ while (skip > 0)
+ {
+ buf[i++] = 0;
+ skip--;
+ }
+ skip = BN_bn2bin(y, buf + i);
+ i += skip;
+ }
+
+ if (i != ret)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+ }
+
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+
+ err:
+ if (used_ctx)
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return 0;
+ }
+
+
+int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
+ const unsigned char *buf, size_t len, BN_CTX *ctx)
+ {
+ point_conversion_form_t form;
+ int y_bit;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y;
+ size_t field_len, enc_len;
+ int ret = 0;
+
+ if (len == 0)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
+ return 0;
+ }
+ form = buf[0];
+ y_bit = form & 1;
+ form = form & ~1U;
+ if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
+ && (form != POINT_CONVERSION_UNCOMPRESSED)
+ && (form != POINT_CONVERSION_HYBRID))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+ if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ if (form == 0)
+ {
+ if (len != 1)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ return EC_POINT_set_to_infinity(group, point);
+ }
+
+ field_len = BN_num_bytes(&group->field);
+ enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2*field_len;
+
+ if (len != enc_len)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ return 0;
+ }
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto err;
+
+ if (!BN_bin2bn(buf + 1, field_len, x)) goto err;
+ if (BN_ucmp(x, &group->field) >= 0)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+
+ if (form == POINT_CONVERSION_COMPRESSED)
+ {
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) goto err;
+ if (BN_ucmp(y, &group->field) >= 0)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ if (form == POINT_CONVERSION_HYBRID)
+ {
+ if (y_bit != BN_is_odd(y))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
+ goto err;
+ }
+ }
+
+ if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
+ }
+
+ if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
+ goto err;
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
+ const BIGNUM *p;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6;
+ int ret = 0;
+
+ if (a == b)
+ return EC_POINT_dbl(group, r, a, ctx);
+ if (EC_POINT_is_at_infinity(group, a))
+ return EC_POINT_copy(r, b);
+ if (EC_POINT_is_at_infinity(group, b))
+ return EC_POINT_copy(r, a);
+
+ field_mul = group->meth->field_mul;
+ field_sqr = group->meth->field_sqr;
+ p = &group->field;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ n0 = BN_CTX_get(ctx);
+ n1 = BN_CTX_get(ctx);
+ n2 = BN_CTX_get(ctx);
+ n3 = BN_CTX_get(ctx);
+ n4 = BN_CTX_get(ctx);
+ n5 = BN_CTX_get(ctx);
+ n6 = BN_CTX_get(ctx);
+ if (n6 == NULL) goto end;
+
+ /* Note that in this function we must not read components of 'a' or 'b'
+ * once we have written the corresponding components of 'r'.
+ * ('r' might be one of 'a' or 'b'.)
+ */
+
+ /* n1, n2 */
+ if (b->Z_is_one)
+ {
+ if (!BN_copy(n1, &a->X)) goto end;
+ if (!BN_copy(n2, &a->Y)) goto end;
+ /* n1 = X_a */
+ /* n2 = Y_a */
+ }
+ else
+ {
+ if (!field_sqr(group, n0, &b->Z, ctx)) goto end;
+ if (!field_mul(group, n1, &a->X, n0, ctx)) goto end;
+ /* n1 = X_a * Z_b^2 */
+
+ if (!field_mul(group, n0, n0, &b->Z, ctx)) goto end;
+ if (!field_mul(group, n2, &a->Y, n0, ctx)) goto end;
+ /* n2 = Y_a * Z_b^3 */
+ }
+
+ /* n3, n4 */
+ if (a->Z_is_one)
+ {
+ if (!BN_copy(n3, &b->X)) goto end;
+ if (!BN_copy(n4, &b->Y)) goto end;
+ /* n3 = X_b */
+ /* n4 = Y_b */
+ }
+ else
+ {
+ if (!field_sqr(group, n0, &a->Z, ctx)) goto end;
+ if (!field_mul(group, n3, &b->X, n0, ctx)) goto end;
+ /* n3 = X_b * Z_a^2 */
+
+ if (!field_mul(group, n0, n0, &a->Z, ctx)) goto end;
+ if (!field_mul(group, n4, &b->Y, n0, ctx)) goto end;
+ /* n4 = Y_b * Z_a^3 */
+ }
+
+ /* n5, n6 */
+ if (!BN_mod_sub_quick(n5, n1, n3, p)) goto end;
+ if (!BN_mod_sub_quick(n6, n2, n4, p)) goto end;
+ /* n5 = n1 - n3 */
+ /* n6 = n2 - n4 */
+
+ if (BN_is_zero(n5))
+ {
+ if (BN_is_zero(n6))
+ {
+ /* a is the same point as b */
+ BN_CTX_end(ctx);
+ ret = EC_POINT_dbl(group, r, a, ctx);
+ ctx = NULL;
+ goto end;
+ }
+ else
+ {
+ /* a is the inverse of b */
+ BN_zero(&r->Z);
+ r->Z_is_one = 0;
+ ret = 1;
+ goto end;
+ }
+ }
+
+ /* 'n7', 'n8' */
+ if (!BN_mod_add_quick(n1, n1, n3, p)) goto end;
+ if (!BN_mod_add_quick(n2, n2, n4, p)) goto end;
+ /* 'n7' = n1 + n3 */
+ /* 'n8' = n2 + n4 */
+
+ /* Z_r */
+ if (a->Z_is_one && b->Z_is_one)
+ {
+ if (!BN_copy(&r->Z, n5)) goto end;
+ }
+ else
+ {
+ if (a->Z_is_one)
+ { if (!BN_copy(n0, &b->Z)) goto end; }
+ else if (b->Z_is_one)
+ { if (!BN_copy(n0, &a->Z)) goto end; }
+ else
+ { if (!field_mul(group, n0, &a->Z, &b->Z, ctx)) goto end; }
+ if (!field_mul(group, &r->Z, n0, n5, ctx)) goto end;
+ }
+ r->Z_is_one = 0;
+ /* Z_r = Z_a * Z_b * n5 */
+
+ /* X_r */
+ if (!field_sqr(group, n0, n6, ctx)) goto end;
+ if (!field_sqr(group, n4, n5, ctx)) goto end;
+ if (!field_mul(group, n3, n1, n4, ctx)) goto end;
+ if (!BN_mod_sub_quick(&r->X, n0, n3, p)) goto end;
+ /* X_r = n6^2 - n5^2 * 'n7' */
+
+ /* 'n9' */
+ if (!BN_mod_lshift1_quick(n0, &r->X, p)) goto end;
+ if (!BN_mod_sub_quick(n0, n3, n0, p)) goto end;
+ /* n9 = n5^2 * 'n7' - 2 * X_r */
+
+ /* Y_r */
+ if (!field_mul(group, n0, n0, n6, ctx)) goto end;
+ if (!field_mul(group, n5, n4, n5, ctx)) goto end; /* now n5 is n5^3 */
+ if (!field_mul(group, n1, n2, n5, ctx)) goto end;
+ if (!BN_mod_sub_quick(n0, n0, n1, p)) goto end;
+ if (BN_is_odd(n0))
+ if (!BN_add(n0, n0, p)) goto end;
+ /* now 0 <= n0 < 2*p, and n0 is even */
+ if (!BN_rshift1(&r->Y, n0)) goto end;
+ /* Y_r = (n6 * 'n9' - 'n8' * 'n5^3') / 2 */
+
+ ret = 1;
+
+ end:
+ if (ctx) /* otherwise we already called BN_CTX_end */
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
+ {
+ int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
+ const BIGNUM *p;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *n0, *n1, *n2, *n3;
+ int ret = 0;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ BN_zero(&r->Z);
+ r->Z_is_one = 0;
+ return 1;
+ }
+
+ field_mul = group->meth->field_mul;
+ field_sqr = group->meth->field_sqr;
+ p = &group->field;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ n0 = BN_CTX_get(ctx);
+ n1 = BN_CTX_get(ctx);
+ n2 = BN_CTX_get(ctx);
+ n3 = BN_CTX_get(ctx);
+ if (n3 == NULL) goto err;
+
+ /* Note that in this function we must not read components of 'a'
+ * once we have written the corresponding components of 'r'.
+ * ('r' might the same as 'a'.)
+ */
+
+ /* n1 */
+ if (a->Z_is_one)
+ {
+ if (!field_sqr(group, n0, &a->X, ctx)) goto err;
+ if (!BN_mod_lshift1_quick(n1, n0, p)) goto err;
+ if (!BN_mod_add_quick(n0, n0, n1, p)) goto err;
+ if (!BN_mod_add_quick(n1, n0, &group->a, p)) goto err;
+ /* n1 = 3 * X_a^2 + a_curve */
+ }
+ else if (group->a_is_minus3)
+ {
+ if (!field_sqr(group, n1, &a->Z, ctx)) goto err;
+ if (!BN_mod_add_quick(n0, &a->X, n1, p)) goto err;
+ if (!BN_mod_sub_quick(n2, &a->X, n1, p)) goto err;
+ if (!field_mul(group, n1, n0, n2, ctx)) goto err;
+ if (!BN_mod_lshift1_quick(n0, n1, p)) goto err;
+ if (!BN_mod_add_quick(n1, n0, n1, p)) goto err;
+ /* n1 = 3 * (X_a + Z_a^2) * (X_a - Z_a^2)
+ * = 3 * X_a^2 - 3 * Z_a^4 */
+ }
+ else
+ {
+ if (!field_sqr(group, n0, &a->X, ctx)) goto err;
+ if (!BN_mod_lshift1_quick(n1, n0, p)) goto err;
+ if (!BN_mod_add_quick(n0, n0, n1, p)) goto err;
+ if (!field_sqr(group, n1, &a->Z, ctx)) goto err;
+ if (!field_sqr(group, n1, n1, ctx)) goto err;
+ if (!field_mul(group, n1, n1, &group->a, ctx)) goto err;
+ if (!BN_mod_add_quick(n1, n1, n0, p)) goto err;
+ /* n1 = 3 * X_a^2 + a_curve * Z_a^4 */
+ }
+
+ /* Z_r */
+ if (a->Z_is_one)
+ {
+ if (!BN_copy(n0, &a->Y)) goto err;
+ }
+ else
+ {
+ if (!field_mul(group, n0, &a->Y, &a->Z, ctx)) goto err;
+ }
+ if (!BN_mod_lshift1_quick(&r->Z, n0, p)) goto err;
+ r->Z_is_one = 0;
+ /* Z_r = 2 * Y_a * Z_a */
+
+ /* n2 */
+ if (!field_sqr(group, n3, &a->Y, ctx)) goto err;
+ if (!field_mul(group, n2, &a->X, n3, ctx)) goto err;
+ if (!BN_mod_lshift_quick(n2, n2, 2, p)) goto err;
+ /* n2 = 4 * X_a * Y_a^2 */
+
+ /* X_r */
+ if (!BN_mod_lshift1_quick(n0, n2, p)) goto err;
+ if (!field_sqr(group, &r->X, n1, ctx)) goto err;
+ if (!BN_mod_sub_quick(&r->X, &r->X, n0, p)) goto err;
+ /* X_r = n1^2 - 2 * n2 */
+
+ /* n3 */
+ if (!field_sqr(group, n0, n3, ctx)) goto err;
+ if (!BN_mod_lshift_quick(n3, n0, 3, p)) goto err;
+ /* n3 = 8 * Y_a^4 */
+
+ /* Y_r */
+ if (!BN_mod_sub_quick(n0, n2, &r->X, p)) goto err;
+ if (!field_mul(group, n0, n1, n0, ctx)) goto err;
+ if (!BN_mod_sub_quick(&r->Y, n0, n3, p)) goto err;
+ /* Y_r = n1 * (n2 - X_r) - n3 */
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y))
+ /* point is its own inverse */
+ return 1;
+
+ return BN_usub(&point->Y, &group->field, &point->Y);
+ }
+
+
+int ec_GFp_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
+ {
+ return BN_is_zero(&point->Z);
+ }
+
+
+int ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
+ {
+ int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
+ const BIGNUM *p;
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *rh, *tmp, *Z4, *Z6;
+ int ret = -1;
+
+ if (EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ field_mul = group->meth->field_mul;
+ field_sqr = group->meth->field_sqr;
+ p = &group->field;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ rh = BN_CTX_get(ctx);
+ tmp = BN_CTX_get(ctx);
+ Z4 = BN_CTX_get(ctx);
+ Z6 = BN_CTX_get(ctx);
+ if (Z6 == NULL) goto err;
+
+ /* We have a curve defined by a Weierstrass equation
+ * y^2 = x^3 + a*x + b.
+ * The point to consider is given in Jacobian projective coordinates
+ * where (X, Y, Z) represents (x, y) = (X/Z^2, Y/Z^3).
+ * Substituting this and multiplying by Z^6 transforms the above equation into
+ * Y^2 = X^3 + a*X*Z^4 + b*Z^6.
+ * To test this, we add up the right-hand side in 'rh'.
+ */
+
+ /* rh := X^2 */
+ if (!field_sqr(group, rh, &point->X, ctx)) goto err;
+
+ if (!point->Z_is_one)
+ {
+ if (!field_sqr(group, tmp, &point->Z, ctx)) goto err;
+ if (!field_sqr(group, Z4, tmp, ctx)) goto err;
+ if (!field_mul(group, Z6, Z4, tmp, ctx)) goto err;
+
+ /* rh := (rh + a*Z^4)*X */
+ if (group->a_is_minus3)
+ {
+ if (!BN_mod_lshift1_quick(tmp, Z4, p)) goto err;
+ if (!BN_mod_add_quick(tmp, tmp, Z4, p)) goto err;
+ if (!BN_mod_sub_quick(rh, rh, tmp, p)) goto err;
+ if (!field_mul(group, rh, rh, &point->X, ctx)) goto err;
+ }
+ else
+ {
+ if (!field_mul(group, tmp, Z4, &group->a, ctx)) goto err;
+ if (!BN_mod_add_quick(rh, rh, tmp, p)) goto err;
+ if (!field_mul(group, rh, rh, &point->X, ctx)) goto err;
+ }
+
+ /* rh := rh + b*Z^6 */
+ if (!field_mul(group, tmp, &group->b, Z6, ctx)) goto err;
+ if (!BN_mod_add_quick(rh, rh, tmp, p)) goto err;
+ }
+ else
+ {
+ /* point->Z_is_one */
+
+ /* rh := (rh + a)*X */
+ if (!BN_mod_add_quick(rh, rh, &group->a, p)) goto err;
+ if (!field_mul(group, rh, rh, &point->X, ctx)) goto err;
+ /* rh := rh + b */
+ if (!BN_mod_add_quick(rh, rh, &group->b, p)) goto err;
+ }
+
+ /* 'lh' := Y^2 */
+ if (!field_sqr(group, tmp, &point->Y, ctx)) goto err;
+
+ ret = (0 == BN_ucmp(tmp, rh));
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
+ {
+ /* return values:
+ * -1 error
+ * 0 equal (in affine coordinates)
+ * 1 not equal
+ */
+
+ int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp1, *tmp2, *Za23, *Zb23;
+ const BIGNUM *tmp1_, *tmp2_;
+ int ret = -1;
+
+ if (EC_POINT_is_at_infinity(group, a))
+ {
+ return EC_POINT_is_at_infinity(group, b) ? 0 : 1;
+ }
+
+ if (EC_POINT_is_at_infinity(group, b))
+ return 1;
+
+ if (a->Z_is_one && b->Z_is_one)
+ {
+ return ((BN_cmp(&a->X, &b->X) == 0) && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1;
+ }
+
+ field_mul = group->meth->field_mul;
+ field_sqr = group->meth->field_sqr;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return -1;
+ }
+
+ BN_CTX_start(ctx);
+ tmp1 = BN_CTX_get(ctx);
+ tmp2 = BN_CTX_get(ctx);
+ Za23 = BN_CTX_get(ctx);
+ Zb23 = BN_CTX_get(ctx);
+ if (Zb23 == NULL) goto end;
+
+ /* We have to decide whether
+ * (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3),
+ * or equivalently, whether
+ * (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3).
+ */
+
+ if (!b->Z_is_one)
+ {
+ if (!field_sqr(group, Zb23, &b->Z, ctx)) goto end;
+ if (!field_mul(group, tmp1, &a->X, Zb23, ctx)) goto end;
+ tmp1_ = tmp1;
+ }
+ else
+ tmp1_ = &a->X;
+ if (!a->Z_is_one)
+ {
+ if (!field_sqr(group, Za23, &a->Z, ctx)) goto end;
+ if (!field_mul(group, tmp2, &b->X, Za23, ctx)) goto end;
+ tmp2_ = tmp2;
+ }
+ else
+ tmp2_ = &b->X;
+
+ /* compare X_a*Z_b^2 with X_b*Z_a^2 */
+ if (BN_cmp(tmp1_, tmp2_) != 0)
+ {
+ ret = 1; /* points differ */
+ goto end;
+ }
+
+
+ if (!b->Z_is_one)
+ {
+ if (!field_mul(group, Zb23, Zb23, &b->Z, ctx)) goto end;
+ if (!field_mul(group, tmp1, &a->Y, Zb23, ctx)) goto end;
+ /* tmp1_ = tmp1 */
+ }
+ else
+ tmp1_ = &a->Y;
+ if (!a->Z_is_one)
+ {
+ if (!field_mul(group, Za23, Za23, &a->Z, ctx)) goto end;
+ if (!field_mul(group, tmp2, &b->Y, Za23, ctx)) goto end;
+ /* tmp2_ = tmp2 */
+ }
+ else
+ tmp2_ = &b->Y;
+
+ /* compare Y_a*Z_b^3 with Y_b*Z_a^3 */
+ if (BN_cmp(tmp1_, tmp2_) != 0)
+ {
+ ret = 1; /* points differ */
+ goto end;
+ }
+
+ /* points are equal */
+ ret = 0;
+
+ end:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *x, *y;
+ int ret = 0;
+
+ if (point->Z_is_one || EC_POINT_is_at_infinity(group, point))
+ return 1;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ x = BN_CTX_get(ctx);
+ y = BN_CTX_get(ctx);
+ if (y == NULL) goto err;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
+ if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) goto err;
+ if (!point->Z_is_one)
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE, ERR_R_INTERNAL_ERROR);
+ goto err;
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ return ret;
+ }
+
+
+int ec_GFp_simple_points_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
+ {
+ BN_CTX *new_ctx = NULL;
+ BIGNUM *tmp0, *tmp1;
+ size_t pow2 = 0;
+ BIGNUM **heap = NULL;
+ size_t i;
+ int ret = 0;
+
+ if (num == 0)
+ return 1;
+
+ if (ctx == NULL)
+ {
+ ctx = new_ctx = BN_CTX_new();
+ if (ctx == NULL)
+ return 0;
+ }
+
+ BN_CTX_start(ctx);
+ tmp0 = BN_CTX_get(ctx);
+ tmp1 = BN_CTX_get(ctx);
+ if (tmp0 == NULL || tmp1 == NULL) goto err;
+
+ /* Before converting the individual points, compute inverses of all Z values.
+ * Modular inversion is rather slow, but luckily we can do with a single
+ * explicit inversion, plus about 3 multiplications per input value.
+ */
+
+ pow2 = 1;
+ while (num > pow2)
+ pow2 <<= 1;
+ /* Now pow2 is the smallest power of 2 satifsying pow2 >= num.
+ * We need twice that. */
+ pow2 <<= 1;
+
+ heap = OPENSSL_malloc(pow2 * sizeof heap[0]);
+ if (heap == NULL) goto err;
+
+ /* The array is used as a binary tree, exactly as in heapsort:
+ *
+ * heap[1]
+ * heap[2] heap[3]
+ * heap[4] heap[5] heap[6] heap[7]
+ * heap[8]heap[9] heap[10]heap[11] heap[12]heap[13] heap[14] heap[15]
+ *
+ * We put the Z's in the last line;
+ * then we set each other node to the product of its two child-nodes (where
+ * empty or 0 entries are treated as ones);
+ * then we invert heap[1];
+ * then we invert each other node by replacing it by the product of its
+ * parent (after inversion) and its sibling (before inversion).
+ */
+ heap[0] = NULL;
+ for (i = pow2/2 - 1; i > 0; i--)
+ heap[i] = NULL;
+ for (i = 0; i < num; i++)
+ heap[pow2/2 + i] = &points[i]->Z;
+ for (i = pow2/2 + num; i < pow2; i++)
+ heap[i] = NULL;
+
+ /* set each node to the product of its children */
+ for (i = pow2/2 - 1; i > 0; i--)
+ {
+ heap[i] = BN_new();
+ if (heap[i] == NULL) goto err;
+
+ if (heap[2*i] != NULL)
+ {
+ if ((heap[2*i + 1] == NULL) || BN_is_zero(heap[2*i + 1]))
+ {
+ if (!BN_copy(heap[i], heap[2*i])) goto err;
+ }
+ else
+ {
+ if (BN_is_zero(heap[2*i]))
+ {
+ if (!BN_copy(heap[i], heap[2*i + 1])) goto err;
+ }
+ else
+ {
+ if (!group->meth->field_mul(group, heap[i],
+ heap[2*i], heap[2*i + 1], ctx)) goto err;
+ }
+ }
+ }
+ }
+
+ /* invert heap[1] */
+ if (!BN_is_zero(heap[1]))
+ {
+ if (!BN_mod_inverse(heap[1], heap[1], &group->field, ctx))
+ {
+ ECerr(EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE, ERR_R_BN_LIB);
+ goto err;
+ }
+ }
+ if (group->meth->field_encode != 0)
+ {
+ /* in the Montgomery case, we just turned R*H (representing H)
+ * into 1/(R*H), but we need R*(1/H) (representing 1/H);
+ * i.e. we have need to multiply by the Montgomery factor twice */
+ if (!group->meth->field_encode(group, heap[1], heap[1], ctx)) goto err;
+ if (!group->meth->field_encode(group, heap[1], heap[1], ctx)) goto err;
+ }
+
+ /* set other heap[i]'s to their inverses */
+ for (i = 2; i < pow2/2 + num; i += 2)
+ {
+ /* i is even */
+ if ((heap[i + 1] != NULL) && !BN_is_zero(heap[i + 1]))
+ {
+ if (!group->meth->field_mul(group, tmp0, heap[i/2], heap[i + 1], ctx)) goto err;
+ if (!group->meth->field_mul(group, tmp1, heap[i/2], heap[i], ctx)) goto err;
+ if (!BN_copy(heap[i], tmp0)) goto err;
+ if (!BN_copy(heap[i + 1], tmp1)) goto err;
+ }
+ else
+ {
+ if (!BN_copy(heap[i], heap[i/2])) goto err;
+ }
+ }
+
+ /* we have replaced all non-zero Z's by their inverses, now fix up all the points */
+ for (i = 0; i < num; i++)
+ {
+ EC_POINT *p = points[i];
+
+ if (!BN_is_zero(&p->Z))
+ {
+ /* turn (X, Y, 1/Z) into (X/Z^2, Y/Z^3, 1) */
+
+ if (!group->meth->field_sqr(group, tmp1, &p->Z, ctx)) goto err;
+ if (!group->meth->field_mul(group, &p->X, &p->X, tmp1, ctx)) goto err;
+
+ if (!group->meth->field_mul(group, tmp1, tmp1, &p->Z, ctx)) goto err;
+ if (!group->meth->field_mul(group, &p->Y, &p->Y, tmp1, ctx)) goto err;
+
+ if (group->meth->field_set_to_one != 0)
+ {
+ if (!group->meth->field_set_to_one(group, &p->Z, ctx)) goto err;
+ }
+ else
+ {
+ if (!BN_one(&p->Z)) goto err;
+ }
+ p->Z_is_one = 1;
+ }
+ }
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+ if (new_ctx != NULL)
+ BN_CTX_free(new_ctx);
+ if (heap != NULL)
+ {
+ /* heap[pow2/2] .. heap[pow2-1] have not been allocated locally! */
+ for (i = pow2/2 - 1; i > 0; i--)
+ {
+ if (heap[i] != NULL)
+ BN_clear_free(heap[i]);
+ }
+ OPENSSL_free(heap);
+ }
+ return ret;
+ }
+
+
+int ec_GFp_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
+ {
+ return BN_mod_mul(r, a, b, &group->field, ctx);
+ }
+
+
+int ec_GFp_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
+ {
+ return BN_mod_sqr(r, a, &group->field, ctx);
+ }
diff --git a/openssl/crypto/ec/ectest.c b/openssl/crypto/ec/ectest.c
new file mode 100644
index 00000000..7509cb9c
--- /dev/null
+++ b/openssl/crypto/ec/ectest.c
@@ -0,0 +1,1334 @@
+/* crypto/ec/ectest.c */
+/*
+ * Originally written by Bodo Moeller for the OpenSSL project.
+ */
+/* ====================================================================
+ * 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).
+ *
+ */
+/* ====================================================================
+ * 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 OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#ifdef FLAT_INC
+#include "e_os.h"
+#else
+#include "../e_os.h"
+#endif
+#include <string.h>
+#include <time.h>
+
+
+#ifdef OPENSSL_NO_EC
+int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
+#else
+
+
+#include <openssl/ec.h>
+#ifndef OPENSSL_NO_ENGINE
+#include <openssl/engine.h>
+#endif
+#include <openssl/err.h>
+#include <openssl/obj_mac.h>
+#include <openssl/objects.h>
+#include <openssl/rand.h>
+#include <openssl/bn.h>
+
+#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
+/* suppress "too big too optimize" warning */
+#pragma warning(disable:4959)
+#endif
+
+#define ABORT do { \
+ fflush(stdout); \
+ fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
+ ERR_print_errors_fp(stderr); \
+ EXIT(1); \
+} while (0)
+
+void prime_field_tests(void);
+void char2_field_tests(void);
+void internal_curve_test(void);
+
+#define TIMING_BASE_PT 0
+#define TIMING_RAND_PT 1
+#define TIMING_SIMUL 2
+
+#if 0
+static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
+ {
+ clock_t clck;
+ int i, j;
+ BIGNUM *s;
+ BIGNUM *r[10], *r0[10];
+ EC_POINT *P;
+
+ s = BN_new();
+ if (s == NULL) ABORT;
+
+ fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
+ if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
+ fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
+ fflush(stdout);
+
+ P = EC_POINT_new(group);
+ if (P == NULL) ABORT;
+ EC_POINT_copy(P, EC_GROUP_get0_generator(group));
+
+ for (i = 0; i < 10; i++)
+ {
+ if ((r[i] = BN_new()) == NULL) ABORT;
+ if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
+ if (type != TIMING_BASE_PT)
+ {
+ if ((r0[i] = BN_new()) == NULL) ABORT;
+ if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
+ }
+ }
+
+ clck = clock();
+ for (i = 0; i < 10; i++)
+ {
+ for (j = 0; j < 10; j++)
+ {
+ if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
+ (type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
+ }
+ }
+ clck = clock() - clck;
+
+ fprintf(stdout, "\n");
+
+#ifdef CLOCKS_PER_SEC
+ /* "To determine the time in seconds, the value returned
+ * by the clock function should be divided by the value
+ * of the macro CLOCKS_PER_SEC."
+ * -- ISO/IEC 9899 */
+# define UNIT "s"
+#else
+ /* "`CLOCKS_PER_SEC' undeclared (first use this function)"
+ * -- cc on NeXTstep/OpenStep */
+# define UNIT "units"
+# define CLOCKS_PER_SEC 1
+#endif
+
+ if (type == TIMING_BASE_PT) {
+ fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
+ "base point multiplications", (double)clck/CLOCKS_PER_SEC);
+ } else if (type == TIMING_RAND_PT) {
+ fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
+ "random point multiplications", (double)clck/CLOCKS_PER_SEC);
+ } else if (type == TIMING_SIMUL) {
+ fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
+ "s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
+ }
+ fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
+
+ EC_POINT_free(P);
+ BN_free(s);
+ for (i = 0; i < 10; i++)
+ {
+ BN_free(r[i]);
+ if (type != TIMING_BASE_PT) BN_free(r0[i]);
+ }
+ }
+#endif
+
+void prime_field_tests()
+ {
+ BN_CTX *ctx = NULL;
+ BIGNUM *p, *a, *b;
+ EC_GROUP *group;
+ EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
+ EC_POINT *P, *Q, *R;
+ BIGNUM *x, *y, *z;
+ unsigned char buf[100];
+ size_t i, len;
+ int k;
+
+#if 1 /* optional */
+ ctx = BN_CTX_new();
+ if (!ctx) ABORT;
+#endif
+
+ p = BN_new();
+ a = BN_new();
+ b = BN_new();
+ if (!p || !a || !b) ABORT;
+
+ if (!BN_hex2bn(&p, "17")) ABORT;
+ if (!BN_hex2bn(&a, "1")) ABORT;
+ if (!BN_hex2bn(&b, "1")) ABORT;
+
+ group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
+ * so that the library gets to choose the EC_METHOD */
+ if (!group) ABORT;
+
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ {
+ EC_GROUP *tmp;
+ tmp = EC_GROUP_new(EC_GROUP_method_of(group));
+ if (!tmp) ABORT;
+ if (!EC_GROUP_copy(tmp, group)) ABORT;
+ EC_GROUP_free(group);
+ group = tmp;
+ }
+
+ if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
+ BN_print_fp(stdout, p);
+ fprintf(stdout, ")\n a = 0x");
+ BN_print_fp(stdout, a);
+ fprintf(stdout, "\n b = 0x");
+ BN_print_fp(stdout, b);
+ fprintf(stdout, "\n");
+
+ P = EC_POINT_new(group);
+ Q = EC_POINT_new(group);
+ R = EC_POINT_new(group);
+ if (!P || !Q || !R) ABORT;
+
+ if (!EC_POINT_set_to_infinity(group, P)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ buf[0] = 0;
+ if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
+
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ x = BN_new();
+ y = BN_new();
+ z = BN_new();
+ if (!x || !y || !z) ABORT;
+
+ if (!BN_hex2bn(&x, "D")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, Q, ctx))
+ {
+ if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
+ fprintf(stderr, "Point is not on curve: x = 0x");
+ BN_print_fp(stderr, x);
+ fprintf(stderr, ", y = 0x");
+ BN_print_fp(stderr, y);
+ fprintf(stderr, "\n");
+ ABORT;
+ }
+
+ fprintf(stdout, "A cyclic subgroup:\n");
+ k = 100;
+ do
+ {
+ if (k-- == 0) ABORT;
+
+ if (EC_POINT_is_at_infinity(group, P))
+ fprintf(stdout, " point at infinity\n");
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+
+ fprintf(stdout, " x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, ", y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ }
+
+ if (!EC_POINT_copy(R, P)) ABORT;
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+
+#if 0 /* optional */
+ {
+ EC_POINT *points[3];
+
+ points[0] = R;
+ points[1] = Q;
+ points[2] = P;
+ if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
+ }
+#endif
+
+ }
+ while (!EC_POINT_is_at_infinity(group, P));
+
+ if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "Generator as octect string, compressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+
+ if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
+ fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, ", Y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, ", Z = 0x");
+ BN_print_fp(stdout, z);
+ fprintf(stdout, "\n");
+
+ if (!EC_POINT_invert(group, P, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+
+
+ /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
+ * -- not a NIST curve, but commonly used */
+
+ if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
+ if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
+ if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
+ if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 160) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_160, group)) ABORT;
+
+
+ /* Curve P-192 (FIPS PUB 186-2, App. 6) */
+
+ if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
+ if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 192) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_192, group)) ABORT;
+
+
+ /* Curve P-224 (FIPS PUB 186-2, App. 6) */
+
+ if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
+ if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 224) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_224, group)) ABORT;
+
+
+ /* Curve P-256 (FIPS PUB 186-2, App. 6) */
+
+ if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
+ if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
+ "84F3B9CAC2FC632551")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 256) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_256, group)) ABORT;
+
+
+ /* Curve P-384 (FIPS PUB 186-2, App. 6) */
+
+ if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
+ if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
+ "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
+ "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
+ "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 384) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_384, group)) ABORT;
+
+
+ /* Curve P-521 (FIPS PUB 186-2, App. 6) */
+
+ if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
+ if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
+ "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
+ "DF883D2C34F1EF451FD46B503F00")) ABORT;
+ if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
+
+ if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
+ "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
+ "3C1856A429BF97E7E31C2E5BD66")) ABORT;
+ if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
+ "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
+ "C9B8899C47AEBB6FB71E91386409")) ABORT;
+ if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
+
+ if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
+ fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, "\n y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ /* G_y value taken from the standard: */
+ if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
+ "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
+ "7086A272C24088BE94769FD16650")) ABORT;
+ if (0 != BN_cmp(y, z)) ABORT;
+
+ fprintf(stdout, "verify degree ...");
+ if (EC_GROUP_get_degree(group) != 521) ABORT;
+ fprintf(stdout, " ok\n");
+
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, ".");
+ fflush(stdout);
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+
+ if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
+ if (!EC_GROUP_copy(P_521, group)) ABORT;
+
+
+ /* more tests using the last curve */
+
+ if (!EC_POINT_copy(Q, P)) ABORT;
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
+
+ if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
+ if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
+
+ {
+ const EC_POINT *points[4];
+ const BIGNUM *scalars[4];
+ BIGNUM scalar3;
+
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ points[0] = Q;
+ points[1] = Q;
+ points[2] = Q;
+ points[3] = Q;
+
+ if (!BN_add(y, z, BN_value_one())) ABORT;
+ if (BN_is_odd(y)) ABORT;
+ if (!BN_rshift1(y, y)) ABORT;
+ scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
+ scalars[1] = y;
+
+ fprintf(stdout, "combined multiplication ...");
+ fflush(stdout);
+
+ /* z is still the group order */
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
+ if (!BN_add(z, z, y)) ABORT;
+ BN_set_negative(z, 1);
+ scalars[0] = y;
+ scalars[1] = z; /* z = -(order + y) */
+
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
+ if (!BN_add(z, x, y)) ABORT;
+ BN_set_negative(z, 1);
+ scalars[0] = x;
+ scalars[1] = y;
+ scalars[2] = z; /* z = -(x+y) */
+
+ BN_init(&scalar3);
+ BN_zero(&scalar3);
+ scalars[3] = &scalar3;
+
+ if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, " ok\n\n");
+
+ BN_free(&scalar3);
+ }
+
+
+#if 0
+ timings(P_160, TIMING_BASE_PT, ctx);
+ timings(P_160, TIMING_RAND_PT, ctx);
+ timings(P_160, TIMING_SIMUL, ctx);
+ timings(P_192, TIMING_BASE_PT, ctx);
+ timings(P_192, TIMING_RAND_PT, ctx);
+ timings(P_192, TIMING_SIMUL, ctx);
+ timings(P_224, TIMING_BASE_PT, ctx);
+ timings(P_224, TIMING_RAND_PT, ctx);
+ timings(P_224, TIMING_SIMUL, ctx);
+ timings(P_256, TIMING_BASE_PT, ctx);
+ timings(P_256, TIMING_RAND_PT, ctx);
+ timings(P_256, TIMING_SIMUL, ctx);
+ timings(P_384, TIMING_BASE_PT, ctx);
+ timings(P_384, TIMING_RAND_PT, ctx);
+ timings(P_384, TIMING_SIMUL, ctx);
+ timings(P_521, TIMING_BASE_PT, ctx);
+ timings(P_521, TIMING_RAND_PT, ctx);
+ timings(P_521, TIMING_SIMUL, ctx);
+#endif
+
+
+ if (ctx)
+ BN_CTX_free(ctx);
+ BN_free(p); BN_free(a); BN_free(b);
+ EC_GROUP_free(group);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ BN_free(x); BN_free(y); BN_free(z);
+
+ if (P_160) EC_GROUP_free(P_160);
+ if (P_192) EC_GROUP_free(P_192);
+ if (P_224) EC_GROUP_free(P_224);
+ if (P_256) EC_GROUP_free(P_256);
+ if (P_384) EC_GROUP_free(P_384);
+ if (P_521) EC_GROUP_free(P_521);
+
+ }
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&x, _x)) ABORT; \
+ if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
+ if (!BN_hex2bn(&z, _order)) ABORT; \
+ if (!BN_hex2bn(&cof, _cof)) ABORT; \
+ if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
+ fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
+ BN_print_fp(stdout, x); \
+ fprintf(stdout, "\n y = 0x"); \
+ BN_print_fp(stdout, y); \
+ fprintf(stdout, "\n"); \
+ /* G_y value taken from the standard: */ \
+ if (!BN_hex2bn(&z, _y)) ABORT; \
+ if (0 != BN_cmp(y, z)) ABORT;
+#else
+#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&x, _x)) ABORT; \
+ if (!BN_hex2bn(&y, _y)) ABORT; \
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
+ if (!BN_hex2bn(&z, _order)) ABORT; \
+ if (!BN_hex2bn(&cof, _cof)) ABORT; \
+ if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
+ fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
+ BN_print_fp(stdout, x); \
+ fprintf(stdout, "\n y = 0x"); \
+ BN_print_fp(stdout, y); \
+ fprintf(stdout, "\n");
+#endif
+
+#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ if (!BN_hex2bn(&p, _p)) ABORT; \
+ if (!BN_hex2bn(&a, _a)) ABORT; \
+ if (!BN_hex2bn(&b, _b)) ABORT; \
+ if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
+ CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
+ fprintf(stdout, "verify degree ..."); \
+ if (EC_GROUP_get_degree(group) != _degree) ABORT; \
+ fprintf(stdout, " ok\n"); \
+ fprintf(stdout, "verify group order ..."); \
+ fflush(stdout); \
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
+ fprintf(stdout, "."); \
+ fflush(stdout); \
+ if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \
+ if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \
+ fprintf(stdout, " ok\n"); \
+ if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
+ if (!EC_GROUP_copy(_variable, group)) ABORT;
+
+void char2_field_tests()
+ {
+ BN_CTX *ctx = NULL;
+ BIGNUM *p, *a, *b;
+ EC_GROUP *group;
+ EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
+ EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
+ EC_POINT *P, *Q, *R;
+ BIGNUM *x, *y, *z, *cof;
+ unsigned char buf[100];
+ size_t i, len;
+ int k;
+
+#if 1 /* optional */
+ ctx = BN_CTX_new();
+ if (!ctx) ABORT;
+#endif
+
+ p = BN_new();
+ a = BN_new();
+ b = BN_new();
+ if (!p || !a || !b) ABORT;
+
+ if (!BN_hex2bn(&p, "13")) ABORT;
+ if (!BN_hex2bn(&a, "3")) ABORT;
+ if (!BN_hex2bn(&b, "1")) ABORT;
+
+ group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
+ * so that the library gets to choose the EC_METHOD */
+ if (!group) ABORT;
+ if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
+
+ {
+ EC_GROUP *tmp;
+ tmp = EC_GROUP_new(EC_GROUP_method_of(group));
+ if (!tmp) ABORT;
+ if (!EC_GROUP_copy(tmp, group)) ABORT;
+ EC_GROUP_free(group);
+ group = tmp;
+ }
+
+ if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
+
+ fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
+ BN_print_fp(stdout, p);
+ fprintf(stdout, ")\n a = 0x");
+ BN_print_fp(stdout, a);
+ fprintf(stdout, "\n b = 0x");
+ BN_print_fp(stdout, b);
+ fprintf(stdout, "\n(0x... means binary polynomial)\n");
+
+ P = EC_POINT_new(group);
+ Q = EC_POINT_new(group);
+ R = EC_POINT_new(group);
+ if (!P || !Q || !R) ABORT;
+
+ if (!EC_POINT_set_to_infinity(group, P)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ buf[0] = 0;
+ if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
+
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ x = BN_new();
+ y = BN_new();
+ z = BN_new();
+ cof = BN_new();
+ if (!x || !y || !z || !cof) ABORT;
+
+ if (!BN_hex2bn(&x, "6")) ABORT;
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
+#else
+ if (!BN_hex2bn(&y, "8")) ABORT;
+ if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
+#endif
+ if (!EC_POINT_is_on_curve(group, Q, ctx))
+ {
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
+#endif
+ fprintf(stderr, "Point is not on curve: x = 0x");
+ BN_print_fp(stderr, x);
+ fprintf(stderr, ", y = 0x");
+ BN_print_fp(stderr, y);
+ fprintf(stderr, "\n");
+ ABORT;
+ }
+
+ fprintf(stdout, "A cyclic subgroup:\n");
+ k = 100;
+ do
+ {
+ if (k-- == 0) ABORT;
+
+ if (EC_POINT_is_at_infinity(group, P))
+ fprintf(stdout, " point at infinity\n");
+ else
+ {
+ if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
+
+ fprintf(stdout, " x = 0x");
+ BN_print_fp(stdout, x);
+ fprintf(stdout, ", y = 0x");
+ BN_print_fp(stdout, y);
+ fprintf(stdout, "\n");
+ }
+
+ if (!EC_POINT_copy(R, P)) ABORT;
+ if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
+ }
+ while (!EC_POINT_is_at_infinity(group, P));
+
+ if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "Generator as octet string, compressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+#endif
+
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+
+/* Change test based on whether binary point compression is enabled or not. */
+#ifdef OPENSSL_EC_BIN_PT_COMP
+ len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
+ if (len == 0) ABORT;
+ if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
+ fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
+ for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
+#endif
+
+ fprintf(stdout, "\n");
+
+ if (!EC_POINT_invert(group, P, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+
+
+ /* Curve K-163 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "1",
+ "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
+ "0289070FB05D38FF58321F2E800536D538CCDAA3D9",
+ 1,
+ "04000000000000000000020108A2E0CC0D99F8A5EF",
+ "2",
+ 163,
+ C2_K163
+ );
+
+ /* Curve B-163 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-163",
+ "0800000000000000000000000000000000000000C9",
+ "1",
+ "020A601907B8C953CA1481EB10512F78744A3205FD",
+ "03F0EBA16286A2D57EA0991168D4994637E8343E36",
+ "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
+ 1,
+ "040000000000000000000292FE77E70C12A4234C33",
+ "2",
+ 163,
+ C2_B163
+ );
+
+ /* Curve K-233 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "0",
+ "1",
+ "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
+ "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
+ 0,
+ "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
+ "4",
+ 233,
+ C2_K233
+ );
+
+ /* Curve B-233 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-233",
+ "020000000000000000000000000000000000000004000000000000000001",
+ "000000000000000000000000000000000000000000000000000000000001",
+ "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
+ "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
+ "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
+ 1,
+ "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
+ "2",
+ 233,
+ C2_B233
+ );
+
+ /* Curve K-283 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-283",
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1",
+ "0",
+ "1",
+ "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
+ "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
+ 0,
+ "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
+ "4",
+ 283,
+ C2_K283
+ );
+
+ /* Curve B-283 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-283",
+ "0800000000000000000000000000000000000000000000000000000000000000000010A1",
+ "000000000000000000000000000000000000000000000000000000000000000000000001",
+ "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
+ "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
+ "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
+ 1,
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
+ "2",
+ 283,
+ C2_B283
+ );
+
+ /* Curve K-409 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-409",
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
+ "0",
+ "1",
+ "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
+ "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
+ 1,
+ "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
+ "4",
+ 409,
+ C2_K409
+ );
+
+ /* Curve B-409 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-409",
+ "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
+ "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+ "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
+ "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
+ "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
+ 1,
+ "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
+ "2",
+ 409,
+ C2_B409
+ );
+
+ /* Curve K-571 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve K-571",
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
+ "0",
+ "1",
+ "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
+ "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
+ 0,
+ "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
+ "4",
+ 571,
+ C2_K571
+ );
+
+ /* Curve B-571 (FIPS PUB 186-2, App. 6) */
+ CHAR2_CURVE_TEST
+ (
+ "NIST curve B-571",
+ "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
+ "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+ "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
+ "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
+ "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
+ 1,
+ "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
+ "2",
+ 571,
+ C2_B571
+ );
+
+ /* more tests using the last curve */
+
+ if (!EC_POINT_copy(Q, P)) ABORT;
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
+ if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
+ if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
+
+ if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
+ if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
+
+ {
+ const EC_POINT *points[3];
+ const BIGNUM *scalars[3];
+
+ if (EC_POINT_is_at_infinity(group, Q)) ABORT;
+ points[0] = Q;
+ points[1] = Q;
+ points[2] = Q;
+
+ if (!BN_add(y, z, BN_value_one())) ABORT;
+ if (BN_is_odd(y)) ABORT;
+ if (!BN_rshift1(y, y)) ABORT;
+ scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
+ scalars[1] = y;
+
+ fprintf(stdout, "combined multiplication ...");
+ fflush(stdout);
+
+ /* z is still the group order */
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
+ if (!BN_add(z, z, y)) ABORT;
+ BN_set_negative(z, 1);
+ scalars[0] = y;
+ scalars[1] = z; /* z = -(order + y) */
+
+ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, ".");
+ fflush(stdout);
+
+ if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
+ if (!BN_add(z, x, y)) ABORT;
+ BN_set_negative(z, 1);
+ scalars[0] = x;
+ scalars[1] = y;
+ scalars[2] = z; /* z = -(x+y) */
+
+ if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+
+ fprintf(stdout, " ok\n\n");
+ }
+
+
+#if 0
+ timings(C2_K163, TIMING_BASE_PT, ctx);
+ timings(C2_K163, TIMING_RAND_PT, ctx);
+ timings(C2_K163, TIMING_SIMUL, ctx);
+ timings(C2_B163, TIMING_BASE_PT, ctx);
+ timings(C2_B163, TIMING_RAND_PT, ctx);
+ timings(C2_B163, TIMING_SIMUL, ctx);
+ timings(C2_K233, TIMING_BASE_PT, ctx);
+ timings(C2_K233, TIMING_RAND_PT, ctx);
+ timings(C2_K233, TIMING_SIMUL, ctx);
+ timings(C2_B233, TIMING_BASE_PT, ctx);
+ timings(C2_B233, TIMING_RAND_PT, ctx);
+ timings(C2_B233, TIMING_SIMUL, ctx);
+ timings(C2_K283, TIMING_BASE_PT, ctx);
+ timings(C2_K283, TIMING_RAND_PT, ctx);
+ timings(C2_K283, TIMING_SIMUL, ctx);
+ timings(C2_B283, TIMING_BASE_PT, ctx);
+ timings(C2_B283, TIMING_RAND_PT, ctx);
+ timings(C2_B283, TIMING_SIMUL, ctx);
+ timings(C2_K409, TIMING_BASE_PT, ctx);
+ timings(C2_K409, TIMING_RAND_PT, ctx);
+ timings(C2_K409, TIMING_SIMUL, ctx);
+ timings(C2_B409, TIMING_BASE_PT, ctx);
+ timings(C2_B409, TIMING_RAND_PT, ctx);
+ timings(C2_B409, TIMING_SIMUL, ctx);
+ timings(C2_K571, TIMING_BASE_PT, ctx);
+ timings(C2_K571, TIMING_RAND_PT, ctx);
+ timings(C2_K571, TIMING_SIMUL, ctx);
+ timings(C2_B571, TIMING_BASE_PT, ctx);
+ timings(C2_B571, TIMING_RAND_PT, ctx);
+ timings(C2_B571, TIMING_SIMUL, ctx);
+#endif
+
+
+ if (ctx)
+ BN_CTX_free(ctx);
+ BN_free(p); BN_free(a); BN_free(b);
+ EC_GROUP_free(group);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(R);
+ BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
+
+ if (C2_K163) EC_GROUP_free(C2_K163);
+ if (C2_B163) EC_GROUP_free(C2_B163);
+ if (C2_K233) EC_GROUP_free(C2_K233);
+ if (C2_B233) EC_GROUP_free(C2_B233);
+ if (C2_K283) EC_GROUP_free(C2_K283);
+ if (C2_B283) EC_GROUP_free(C2_B283);
+ if (C2_K409) EC_GROUP_free(C2_K409);
+ if (C2_B409) EC_GROUP_free(C2_B409);
+ if (C2_K571) EC_GROUP_free(C2_K571);
+ if (C2_B571) EC_GROUP_free(C2_B571);
+
+ }
+
+void internal_curve_test(void)
+ {
+ EC_builtin_curve *curves = NULL;
+ size_t crv_len = 0, n = 0;
+ int ok = 1;
+
+ crv_len = EC_get_builtin_curves(NULL, 0);
+
+ curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
+
+ if (curves == NULL)
+ return;
+
+ if (!EC_get_builtin_curves(curves, crv_len))
+ {
+ OPENSSL_free(curves);
+ return;
+ }
+
+ fprintf(stdout, "testing internal curves: ");
+
+ for (n = 0; n < crv_len; n++)
+ {
+ EC_GROUP *group = NULL;
+ int nid = curves[n].nid;
+ if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
+ {
+ ok = 0;
+ fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
+ " curve %s\n", OBJ_nid2sn(nid));
+ /* try next curve */
+ continue;
+ }
+ if (!EC_GROUP_check(group, NULL))
+ {
+ ok = 0;
+ fprintf(stdout, "\nEC_GROUP_check() failed with"
+ " curve %s\n", OBJ_nid2sn(nid));
+ EC_GROUP_free(group);
+ /* try the next curve */
+ continue;
+ }
+ fprintf(stdout, ".");
+ fflush(stdout);
+ EC_GROUP_free(group);
+ }
+ if (ok)
+ fprintf(stdout, " ok\n");
+ else
+ fprintf(stdout, " failed\n");
+ OPENSSL_free(curves);
+ return;
+ }
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+int main(int argc, char *argv[])
+ {
+
+ /* enable memory leak checking unless explicitly disabled */
+ if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
+ {
+ CRYPTO_malloc_debug_init();
+ CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
+ }
+ else
+ {
+ /* OPENSSL_DEBUG_MEMORY=off */
+ CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
+ }
+ CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
+ ERR_load_crypto_strings();
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
+
+ prime_field_tests();
+ puts("");
+ char2_field_tests();
+ /* test the internal curves */
+ internal_curve_test();
+
+#ifndef OPENSSL_NO_ENGINE
+ ENGINE_cleanup();
+#endif
+ CRYPTO_cleanup_all_ex_data();
+ ERR_free_strings();
+ ERR_remove_thread_state(NULL);
+ CRYPTO_mem_leaks_fp(stderr);
+
+ return 0;
+ }
+#endif