diff options
| author | ausiv4 <ausiv4@eb105b4a-77de-11de-a249-6bf219df57d5> | 2009-08-08 20:50:53 +0000 |
|---|---|---|
| committer | ausiv4 <ausiv4@eb105b4a-77de-11de-a249-6bf219df57d5> | 2009-08-08 20:50:53 +0000 |
| commit | 48c6ab56a73b830c6fcddd32f44636e8b399be85 (patch) | |
| tree | 0f522e92f9ce0ac810f210f6388246626dd3a8d2 | |
| parent | 29e50956daeadaa6786b7cf34ab96387e5295bb6 (diff) | |
This adds upgrade functionality so that existing django apps can switch to SRP.
If a user exists in the auth table but not the srp table, the server sends back the algorithm and salt needed to hash the password. The hashed
password is used to authenticate the user.
After the server authenticates the user and the user verifies the identity of the server, the user sends the password in plaintext. The server
uses the plaintext password to calculate the verifier and stores. Finally, the client reinitiates the login process.
| -rw-r--r-- | django/srpproject/srp/backends.py | 3 | ||||
| -rw-r--r-- | django/srpproject/srp/views.py | 72 | ||||
| -rw-r--r-- | django/srpproject/urls.py | 2 | ||||
| -rw-r--r-- | javascript/jsPacker/hash.min.js | 2 | ||||
| -rw-r--r-- | javascript/jsPacker/srp.min.js | 2 | ||||
| -rw-r--r-- | javascript/srp.js | 79 |
6 files changed, 125 insertions, 35 deletions
diff --git a/django/srpproject/srp/backends.py b/django/srpproject/srp/backends.py index 1f13173..8882973 100644 --- a/django/srpproject/srp/backends.py +++ b/django/srpproject/srp/backends.py @@ -19,6 +19,3 @@ class SRPBackend: return SRPUser.objects.get(pk=user_id) except SRPUser.DoesNotExist: return None - - - diff --git a/django/srpproject/srp/views.py b/django/srpproject/srp/views.py index 38d5503..8529fa9 100644 --- a/django/srpproject/srp/views.py +++ b/django/srpproject/srp/views.py @@ -2,7 +2,7 @@ from django.http import HttpResponse -from srp import models +from django.contrib.auth.models import User ### ### General methods @@ -41,7 +41,7 @@ def register_page(request): # Step 1. A client submits a username. If the username is available, we generate a salt, store it, and return it. # Otherwise, we return an error. def register_salt(request): - if models.SRPUser.objects.filter(username=request.POST["I"]).count() > 0: + if User.objects.filter(username=request.POST["I"]).count() > 0: return HttpResponse("<error>Username already in use</error>", mimetype="text/xml") request.session["srp_name"] = request.POST["I"] request.session["srp_salt"] = generate_salt() @@ -50,7 +50,8 @@ def register_salt(request): # Step 2. The client creates the password verifier and sends it to the server, along with a username. def register_user(request): from django.contrib import auth - models.SRPUser(salt=request.session["srp_salt"], username=request.session["srp_name"], verifier=request.POST["v"]).save() + from srp.models import SRPUser + SRPUser(salt=request.session["srp_salt"], username=request.session["srp_name"], verifier=request.POST["v"]).save() del request.session["srp_salt"] del request.session["srp_name"] return HttpResponse("<ok/>", mimetype="text/xml"); @@ -65,6 +66,7 @@ def register_user(request): # The server responds with the salt and public ephemeral key, B def handshake(request): import random, hashlib + from srp.models import SRPUser randomgen = random.SystemRandom() request.session["srp_I"] = request.POST["I"] A = int(request.POST["A"], 16) @@ -72,15 +74,28 @@ def handshake(request): g = 2 N = 125617018995153554710546479714086468244499594888726646874671447258204721048803 k = 88846390364205216646376352624313659232912717719075174937149043299744712465496 + upgrade = False if A % N == 0: return HttpResponse("<error>Invalid ephemeral key.</error>", mimetype="text/xml") else: try: - user = models.SRPUser.objects.get(username=request.session["srp_I"]) - salt = user.salt - v = int(user.verifier, 16) + user = User.objects.get(username=request.session["srp_I"]) + try: + user = user.srpuser + salt = user.salt + v = int(user.verifier, 16) + # The auth.User exists, but the SRPUser does not + # We need to create an SRPUser to correspond to that auth.User + # Initially, the verifier will be based on the known hash of the password + except SRPUser.DoesNotExist: + salt = generate_salt() + algo, dsalt, hashpass = user.password.split("$") + upgrade = True + x = int(hashlib.sha256(salt + hashlib.sha256(user.username + ":" + hashpass).hexdigest()).hexdigest(), 16) + v = pow(2, x, N) + # We don't want to leak that the username doesn't exist. Make up a fake salt and verifier. - except models.SRPUser.DoesNotExist: + except User.DoesNotExist: salt, x = generate_fake_salt(request.POST["I"]) v = pow(g, x, N) @@ -91,31 +106,26 @@ def handshake(request): u = int(hashlib.sha256("%s%s" % (hex(A)[2:-1],hex(B)[2:-1])).hexdigest(), 16) if B % N != 0 and u % N != 0: break - response = "<r s='%s' B='%s' />" % (salt, hex(B)[2:-1]) # Ideally, we could return this response and then calculate M concurrently with the user # Unfortunately, django isn't designed to do computations after responding. # Maybe someone will find a way. S = pow(A*pow(v,u,N), b, N) request.session["srp_S"] = hex(S)[2:-1] Mstr = "%s%s%s" % (hex(A)[2:-1],hex(B)[2:-1],hex(S)[2:-1]) - response = "<r s='%s' B='%s' />" % (salt, hex(B)[2:-1]) request.session["srp_M"] = hashlib.sha256(Mstr).hexdigest() + response = "<r s='%s' B='%s'%s />" % (salt, hex(B)[2:-1], " a='%s' d='%s'" % (algo, dsalt) if upgrade else "") return HttpResponse(response, mimetype="text/xml") # Step 2: The client sends its proof of S. The server confirms, and sends its proof of S. def verify(request): import hashlib from django.contrib.auth import login, authenticate - try: - user = authenticate(username=request.session["srp_I"], M=(request.POST["M"], request.session["srp_M"])) - if user: - response = "<M>%s</M>" % hashlib.sha256("%s%s%s" % (request.session["srp_A"], request.session["srp_M"], request.session["srp_S"])).hexdigest() - login(request, user) - else: - response = "<error>Invalid username or password.</error>" - except models.SRPUser.DoesNotExist: - # This should only happen when authentication is successful with SRP, but the user isn't in the auth table. - response = "<error>Authentication failed. This is likely a server problem.</error>" + user = authenticate(username=request.session["srp_I"], M=(request.POST["M"], request.session["srp_M"])) + if user: + response = "<M>%s</M>" % hashlib.sha256("%s%s%s" % (request.session["srp_A"], request.session["srp_M"], request.session["srp_S"])).hexdigest() + login(request, user) + else: + response = "<error>Invalid username or password.</error>" try: del request.session["srp_I"] @@ -125,3 +135,27 @@ def verify(request): except KeyError: pass return HttpResponse(response, mimetype="text/xml") + +def upgrade_auth(request): + import hashlib + if request.POST["M"] == request.session["srp_M"]: + response = "<M>%s</M>" % hashlib.sha256("%s%s%s" % (request.session["srp_A"], request.session["srp_M"], request.session["srp_S"])).hexdigest() + request.session["srp_preauth"] = True + else: + response = "<error>Invalid username or password.</error>" + return HttpResponse(response, mimetype="text/xml") + +def upgrade_add_verifier(request): + from srp.models import SRPUser + from django.contrib.auth.models import User + import hashlib + salt = generate_salt() + x = int(hashlib.sha256(salt + hashlib.sha256("%s:%s" % (request.session["srp_I"], request.POST["p"])).hexdigest()).hexdigest(), 16) + user = User.objects.get(username=request.session["srp_I"]) + srpuser = SRPUser() + srpuser.__dict__.update(user.__dict__) + srpuser.verifier = hex(pow(2, x, 125617018995153554710546479714086468244499594888726646874671447258204721048803))[2:-1] + srpuser.salt = salt + srpuser.password = "" + srpuser.save() + return HttpResponse("<ok/>", mimetype="text/xml") diff --git a/django/srpproject/urls.py b/django/srpproject/urls.py index a2da712..550676e 100644 --- a/django/srpproject/urls.py +++ b/django/srpproject/urls.py @@ -21,4 +21,6 @@ urlpatterns = patterns('', (r'^srp/authenticate/$', views.verify), (r'^srp/login/$', views.login_page), (r'^srp/register/$', views.register_page), + (r'^srp/upgrade/authenticate/$', views.upgrade_auth), + (r'^srp/upgrade/verifier/$', views.upgrade_add_verifier), ) diff --git a/javascript/jsPacker/hash.min.js b/javascript/jsPacker/hash.min.js index badbcca..a34be63 100644 --- a/javascript/jsPacker/hash.min.js +++ b/javascript/jsPacker/hash.min.js @@ -1 +1 @@ -eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--)d[e(c)]=k[c]||e(c);k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--)if(k[c])p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c]);return p}('l 3U(J){l R(n,s){e 2w=(n<<s)|(n>>>(32-s));f 2w};l 3T(1J){e 1f="";e i;e 2d;e 2c;w(i=0;i<=6;i+=2){2d=(1J>>>(i*4+4))&2b;2c=(1J>>>(i*4))&2b;1f+=2d.1O(16)+2c.1O(16)}f 1f};l 1e(1J){e 1f="";e i;e v;w(i=7;i>=0;i--){v=(1J>>>(i*4))&2b;1f+=v.1O(16)}f 1f};l 1K(t){t=t.2o(/\\r\\n/g,"\\n");e u="";w(e n=0;n<t.T;n++){e c=t.L(n);Y(c<U){u+=N.M(c)}1b 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3:i=J.L(O-3)<<24|J.L(O-2)<<16|J.L(O-1)<<8|2p;1V}S.1I(i);2q((S.T%16)!=14)S.1I(0);S.1I(O>>>29);S.1I((O<<3)&Q);w(1H=0;1H<S.T;1H+=16){w(i=0;i<16;i++)W[i]=S[1H+i];w(i=16;i<=2u;i++)W[i]=R(W[i-3]^W[i-8]^W[i-14]^W[i-16],1);A=1G;B=1F;C=1E;D=1D;E=1C;w(i=0;i<=19;i++){K=(R(A,5)+((B&C)|(~B&D))+E+W[i]+3M)&Q;E=D;D=C;C=R(B,30);B=A;A=K}w(i=20;i<=39;i++){K=(R(A,5)+(B^C^D)+E+W[i]+3L)&Q;E=D;D=C;C=R(B,30);B=A;A=K}w(i=3K;i<=3J;i++){K=(R(A,5)+((B&C)|(B&D)|(C&D))+E+W[i]+3I)&Q;E=D;D=C;C=R(B,30);B=A;A=K}w(i=3H;i<=2u;i++){K=(R(A,5)+(B^C^D)+E+W[i]+3G)&Q;E=D;D=C;C=R(B,30);B=A;A=K}1G=(1G+A)&Q;1F=(1F+B)&Q;1E=(1E+C)&Q;1D=(1D+D)&Q;1C=(1C+E)&Q}e K=1e(1G)+1e(1F)+1e(1E)+1e(1D)+1e(1C);f K.2e()}e 3F=l(t){l 1B(1y,2a){f(1y<<2a)|(1y>>>(32-2a))}l h(1U,1T){e 1S,1R,1d,1c,18;1d=(1U&28);1c=(1T&28);1S=(1U&1Q);1R=(1T&1Q);18=(1U&2t)+(1T&2t);Y(1S&1R){f(18^28^1d^1c)}Y(1S|1R){Y(18&1Q){f(18^3E^1d^1c)}1b{f(18^1Q^1d^1c)}}1b{f(18^1d^1c)}}l F(x,y,z){f(x&y)|((~x)&z)}l G(x,y,z){f(x&z)|(y&(~z))}l H(x,y,z){f(x^y^z)}l I(x,y,z){f(y^(x|(~z)))}l q(a,b,c,d,x,s,X){a=h(a,h(h(F(b,c,d),x),X));f h(1B(a,s),b)};l p(a,b,c,d,x,s,X){a=h(a,h(h(G(b,c,d),x),X));f h(1B(a,s),b)};l o(a,b,c,d,x,s,X){a=h(a,h(h(H(b,c,d),x),X));f h(1B(a,s),b)};l m(a,b,c,d,x,s,X){a=h(a,h(h(I(b,c,d),x),X));f h(1B(a,s),b)};l 2j(t){e Z;e 1z=t.T;e 27=1z+8;e 2r=(27-(27%2s))/2s;e 1P=(2r+1)*16;e V=1L(1P-1);e 1A=0;e P=0;2q(P<1z){Z=(P-(P%4))/4;1A=(P%4)*8;V[Z]=(V[Z]|(t.L(P)<<1A));P++}Z=(P-(P%4))/4;1A=(P%4)*8;V[Z]=V[Z]|(2p<<1A);V[1P-2]=1z<<3;V[1P-1]=1z>>>29;f V};l 1g(1y){e 1M="",1N="",26,1x;w(1x=0;1x<=3;1x++){26=(1y>>>(1x*8))&3D;1N="0"+26.1O(16);1M=1M+1N.3C(1N.T-2,2)}f 1M};l 1K(t){t=t.2o(/\\r\\n/g,"\\n");e u="";w(e n=0;n<t.T;n++){e c=t.L(n);Y(c<U){u+=N.M(c)}1b Y((c>2n)&&(c<2m)){u+=N.M((c>>6)|2l);u+=N.M((c&1a)|U)}1b{u+=N.M((c>>12)|2k);u+=N.M(((c>>6)&1a)|U);u+=N.M((c&1a)|U)}}f u};e x=1L();e k,25,1Z,1Y,1X,a,b,c,d;e 1w=7,1v=12,1u=17,1t=22;e 1s=5,1r=9,1q=14,1p=20;e 1o=4,1n=11,1m=16,1l=23;e 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K=1g(a)+1g(b)+1g(c)+1g(d);f K.2e()}',62,243,'||||||||||||||var|return||AddUnsigned||||function|II||HH|GG|FF|||string|utftext||for|||||||||||||msg|temp|charCodeAt|fromCharCode|String|msg_len|lByteCount|0x0ffffffff|rotate_left|word_array|length|128|lWordArray||ac|if|lWordCount|||||||||lResult||63|else|lY8|lX8|cvt_hex|str|WordToHex|S44|S43|S42|S41|S34|S33|S32|S31|S24|S23|S22|S21|S14|S13|S12|S11|lCount|lValue|lMessageLength|lBytePosition|RotateLeft|H4|H3|H2|H1|H0|blockstart|push|val|Utf8Encode|Array|WordToHexValue|WordToHexValue_temp|toString|lNumberOfWords|0x40000000|lY4|lX4|lY|lX|break|case|DD|CC|BB||||||AA|lByte|lNumberOfWords_temp1|0x80000000||iShiftBits|0x0f|vl|vh|toLowerCase|0x10325476|0x98BADCFE|0xEFCDAB89|0x67452301|ConvertToWordArray|224|192|2048|127|replace|0x80|while|lNumberOfWords_temp2|64|0x3FFFFFFF|79|new|t4|0xEB86D391|0x2AD7D2BB|0xBD3AF235|0xF7537E82|0x4E0811A1|0xA3014314|0xFE2CE6E0|0x6FA87E4F|0x85845DD1|0xFFEFF47D|0x8F0CCC92|0x655B59C3|0xFC93A039|0xAB9423A7|0x432AFF97|0xF4292244|0xC4AC5665|0x1FA27CF8|0xE6DB99E5|0xD9D4D039|0x4881D05|0xD4EF3085|0xEAA127FA|0x289B7EC6|0xBEBFBC70|0xF6BB4B60|0x4BDECFA9|0xA4BEEA44|0xFDE5380C||0x6D9D6122||0x8771F681|0xFFFA3942|0x8D2A4C8A|0x676F02D9|0xFCEFA3F8|0xA9E3E905||0x455A14ED|0xF4D50D87|0xC33707D6|0x21E1CDE6|0xE7D3FBC8|0xD8A1E681|0x2441453|0xD62F105D|0xE9B6C7AA|0x265E5A51|0xC040B340|0xF61E2562|0x49B40821|0xA679438E|0xFD987193|0x6B901122|0x895CD7BE|0xFFFF5BB1|0x8B44F7AF|0x698098D8|0xFD469501|0xA8304613|0x4787C62A|0xF57C0FAF|0xC1BDCEEE|0x242070DB|0xE8C7B756|0xD76AA478|substr|255|0xC0000000|MD5|0xCA62C1D6|60|0x8F1BBCDC|59|40|0x6ED9EBA1|0x5A827999|0x08000|0x0800000|0x080000000|switch|0xC3D2E1F0|80|lsb_hex|SHA1'.split('|'),0,{})) +eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--)d[e(c)]=k[c]||e(c);k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--)if(k[c])p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c]);return p}('l 41(K){l S(n,s){e 2x=(n<<s)|(n>>>(32-s));f 2x};l 3Z(1K){e 1g="";e i;e 2e;e 2d;J(i=0;i<=6;i+=2){2e=(1K>>>(i*4+4))&2c;2d=(1K>>>(i*4))&2c;1g+=2e.1P(16)+2d.1P(16)}f 1g};l 1f(1K){e 1g="";e i;e v;J(i=7;i>=0;i--){v=(1K>>>(i*4))&2c;1g+=v.1P(16)}f 1g};l 1L(u){u=u.2p(/\\r\\n/g,"\\n");e w="";J(e n=0;n<u.U;n++){e c=u.M(n);Z(c<V){w+=O.N(c)}1c Z((c>2o)&&(c<2n)){w+=O.N((c>>6)|2m);w+=O.N((c&1b)|V)}1c{w+=O.N((c>>12)|2l);w+=O.N(((c>>6)&1b)|V);w+=O.N((c&1b)|V)}}f w};e 1I;e i,j;e W=2w 1M(3Y);e 1H=2j;e 1G=2i;e 1F=2h;e 1E=2g;e 1D=3X;e A,B,C,D,E;e L;K=1L(K);e P=K.U;e T=2w 1M();J(i=0;i<P-3;i+=4){j=K.M(i)<<24|K.M(i+1)<<16|K.M(i+2)<<8|K.M(i+3);T.1J(j)}3W(P%4){1X 0:i=3V;1W;1X 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G(x,y,z){f(x&z)|(y&(~z))}l H(x,y,z){f(x^y^z)}l I(x,y,z){f(y^(x|(~z)))}l t(a,b,c,d,x,s,Y){a=h(a,h(h(F(b,c,d),x),Y));f h(1C(a,s),b)};l q(a,b,c,d,x,s,Y){a=h(a,h(h(G(b,c,d),x),Y));f h(1C(a,s),b)};l o(a,b,c,d,x,s,Y){a=h(a,h(h(H(b,c,d),x),Y));f h(1C(a,s),b)};l m(a,b,c,d,x,s,Y){a=h(a,h(h(I(b,c,d),x),Y));f h(1C(a,s),b)};l 2k(u){e 18;e 1A=u.U;e 28=1A+8;e 2s=(28-(28%2t))/2t;e 1Q=(2s+1)*16;e X=1M(1Q-1);e 1B=0;e Q=0;2r(Q<1A){18=(Q-(Q%4))/4;1B=(Q%4)*8;X[18]=(X[18]|(u.M(Q)<<1B));Q++}18=(Q-(Q%4))/4;1B=(Q%4)*8;X[18]=X[18]|(2q<<1B);X[1Q-2]=1A<<3;X[1Q-1]=1A>>>29;f X};l 1h(1z){e 1N="",1O="",27,1y;J(1y=0;1y<=3;1y++){27=(1z>>>(1y*8))&3K;1O="0"+27.1P(16);1N=1N+1O.3J(1O.U-2,2)}f 1N};l 1L(u){u=u.2p(/\\r\\n/g,"\\n");e w="";J(e n=0;n<u.U;n++){e c=u.M(n);Z(c<V){w+=O.N(c)}1c Z((c>2o)&&(c<2n)){w+=O.N((c>>6)|2m);w+=O.N((c&1b)|V)}1c{w+=O.N((c>>12)|2l);w+=O.N(((c>>6)&1b)|V);w+=O.N((c&1b)|V)}}f w};e x=1M();e k,26,25,1Z,1Y,a,b,c,d;e 1x=7,1w=12,1v=17,1u=22;e 1t=5,1s=9,1r=14,1q=20;e 1p=4,1o=11,1n=16,1m=23;e 1l=6,1k=10,1j=15,1i=21;u=1L(u);x=2k(u);a=2j;b=2i;c=2h;d=2g;J(k=0;k<x.U;k+=16){26=a;25=b;1Z=c;1Y=d;a=t(a,b,c,d,x[k+0],1x,3I);d=t(d,a,b,c,x[k+1],1w,3H);c=t(c,d,a,b,x[k+2],1v,3G);b=t(b,c,d,a,x[k+3],1u,3F);a=t(a,b,c,d,x[k+4],1x,3E);d=t(d,a,b,c,x[k+5],1w,3D);c=t(c,d,a,b,x[k+6],1v,3C);b=t(b,c,d,a,x[k+7],1u,3B);a=t(a,b,c,d,x[k+8],1x,3A);d=t(d,a,b,c,x[k+9],1w,3z);c=t(c,d,a,b,x[k+10],1v,3y);b=t(b,c,d,a,x[k+11],1u,3x);a=t(a,b,c,d,x[k+12],1x,3w);d=t(d,a,b,c,x[k+13],1w,3v);c=t(c,d,a,b,x[k+14],1v,3u);b=t(b,c,d,a,x[k+15],1u,3t);a=q(a,b,c,d,x[k+1],1t,3s);d=q(d,a,b,c,x[k+6],1s,3r);c=q(c,d,a,b,x[k+11],1r,3q);b=q(b,c,d,a,x[k+0],1q,3p);a=q(a,b,c,d,x[k+5],1t,3o);d=q(d,a,b,c,x[k+10],1s,3n);c=q(c,d,a,b,x[k+15],1r,3m);b=q(b,c,d,a,x[k+4],1q,3l);a=q(a,b,c,d,x[k+9],1t,3k);d=q(d,a,b,c,x[k+14],1s,3j);c=q(c,d,a,b,x[k+3],1r,3i);b=q(b,c,d,a,x[k+8],1q,3h);a=q(a,b,c,d,x[k+13],1t,3g);d=q(d,a,b,c,x[k+2],1s,3f);c=q(c,d,a,b,x[k+7],1r,3e);b=q(b,c,d,a,x[k+12],1q,3d);a=o(a,b,c,d,x[k+5],1p,3c);d=o(d,a,b,c,x[k+8],1o,3b);c=o(c,d,a,b,x[k+11],1n,3a);b=o(b,c,d,a,x[k+14],1m,38);a=o(a,b,c,d,x[k+1],1p,37);d=o(d,a,b,c,x[k+4],1o,36);c=o(c,d,a,b,x[k+7],1n,35);b=o(b,c,d,a,x[k+10],1m,34);a=o(a,b,c,d,x[k+13],1p,33);d=o(d,a,b,c,x[k+0],1o,31);c=o(c,d,a,b,x[k+3],1n,2Z);b=o(b,c,d,a,x[k+6],1m,2Y);a=o(a,b,c,d,x[k+9],1p,2X);d=o(d,a,b,c,x[k+12],1o,2W);c=o(c,d,a,b,x[k+15],1n,2V);b=o(b,c,d,a,x[k+2],1m,2U);a=m(a,b,c,d,x[k+0],1l,2T);d=m(d,a,b,c,x[k+7],1k,2S);c=m(c,d,a,b,x[k+14],1j,2R);b=m(b,c,d,a,x[k+5],1i,2Q);a=m(a,b,c,d,x[k+12],1l,2P);d=m(d,a,b,c,x[k+3],1k,2O);c=m(c,d,a,b,x[k+10],1j,2N);b=m(b,c,d,a,x[k+1],1i,2M);a=m(a,b,c,d,x[k+8],1l,2L);d=m(d,a,b,c,x[k+15],1k,2K);c=m(c,d,a,b,x[k+6],1j,2J);b=m(b,c,d,a,x[k+13],1i,2I);a=m(a,b,c,d,x[k+4],1l,2H);d=m(d,a,b,c,x[k+11],1k,2G);c=m(c,d,a,b,x[k+2],1j,2F);b=m(b,c,d,a,x[k+9],1i,2E);a=h(a,26);b=h(b,25);c=h(c,1Z);d=h(d,1Y)}e L=1h(a)+1h(b)+1h(c)+1h(d);f L.2f()}2D.2C.2B=l(s,2A,2z,2y,p){};',62,250,'||||||||||||||var|return||AddUnsigned||||function|II||HH||GG|||FF|string||utftext|||||||||||||for|msg|temp|charCodeAt|fromCharCode|String|msg_len|lByteCount|0x0ffffffff|rotate_left|word_array|length|128||lWordArray|ac|if|||||||||lWordCount||lResult|63|else|lY8|lX8|cvt_hex|str|WordToHex|S44|S43|S42|S41|S34|S33|S32|S31|S24|S23|S22|S21|S14|S13|S12|S11|lCount|lValue|lMessageLength|lBytePosition|RotateLeft|H4|H3|H2|H1|H0|blockstart|push|val|Utf8Encode|Array|WordToHexValue|WordToHexValue_temp|toString|lNumberOfWords|0x40000000|lY4|lX4|lY|lX|break|case|DD|CC||||||BB|AA|lByte|lNumberOfWords_temp1||0x80000000|iShiftBits|0x0f|vl|vh|toLowerCase|0x10325476|0x98BADCFE|0xEFCDAB89|0x67452301|ConvertToWordArray|224|192|2048|127|replace|0x80|while|lNumberOfWords_temp2|64|0x3FFFFFFF|79|new|t4|dsalt|algo|ephemeral|upgrade|prototype|SRP|0xEB86D391|0x2AD7D2BB|0xBD3AF235|0xF7537E82|0x4E0811A1|0xA3014314|0xFE2CE6E0|0x6FA87E4F|0x85845DD1|0xFFEFF47D|0x8F0CCC92|0x655B59C3|0xFC93A039|0xAB9423A7|0x432AFF97|0xF4292244|0xC4AC5665|0x1FA27CF8|0xE6DB99E5|0xD9D4D039|0x4881D05|0xD4EF3085||0xEAA127FA||0x289B7EC6|0xBEBFBC70|0xF6BB4B60|0x4BDECFA9|0xA4BEEA44|0xFDE5380C||0x6D9D6122|0x8771F681|0xFFFA3942|0x8D2A4C8A|0x676F02D9|0xFCEFA3F8|0xA9E3E905|0x455A14ED|0xF4D50D87|0xC33707D6|0x21E1CDE6|0xE7D3FBC8|0xD8A1E681|0x2441453|0xD62F105D|0xE9B6C7AA|0x265E5A51|0xC040B340|0xF61E2562|0x49B40821|0xA679438E|0xFD987193|0x6B901122|0x895CD7BE|0xFFFF5BB1|0x8B44F7AF|0x698098D8|0xFD469501|0xA8304613|0x4787C62A|0xF57C0FAF|0xC1BDCEEE|0x242070DB|0xE8C7B756|0xD76AA478|substr|255|0xC0000000|MD5|0xCA62C1D6|60|0x8F1BBCDC|59|0x6ED9EBA1|0x5A827999|0x08000|0x0800000|0x080000000|switch|0xC3D2E1F0|80|lsb_hex||SHA1'.split('|'),0,{})) diff --git a/javascript/jsPacker/srp.min.js b/javascript/jsPacker/srp.min.js index ac22414..c966315 100644 --- a/javascript/jsPacker/srp.min.js +++ b/javascript/jsPacker/srp.min.js @@ -1 +1 @@ -eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--)d[e(c)]=k[c]||e(c);k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--)if(k[c])p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c]);return p}('E 1C(s){C 2o=8;C 74=0;E 1e(x,y){C 44=(x&42)+(y&42);C 7d=(x>>16)+(y>>16)+(44>>16);F(7d<<16)|(44&42)}E S(X,n){F(X>>>n)|(X<<(32-n))}E R(X,n){F(X>>>n)}E 78(x,y,z){F((x&y)^((~x)&z))}E 76(x,y,z){F((x&y)^(x&z)^(y&z))}E 77(x){F(S(x,2)^S(x,13)^S(x,22))}E 7a(x){F(S(x,6)^S(x,11)^S(x,25))}E 7b(x){F(S(x,7)^S(x,18)^R(x,3))}E 7c(x){F(S(x,17)^S(x,19)^R(x,10))}E 6Y(m,l){C K=T 1u(b3,b2,b1,b0,aZ,aY,aX,aW,aV,aU,aT,aS,aR,aQ,aP,aO,aN,aM,aL,aK,aJ,aI,aH,aG,aF,aE,aD,aC,aB,aA,az,ay,ax,aw,av,au,at,as,ar,aq,ap,ao,an,al,ak,aj,ai,ah,ag,af,ae,ad,ab,aa,a9,a8,a7,a6,a5,a4,a3,a2,a1,a0);C Z=T 1u(9Z,9Y,9X,9W,9V,9U,9T,9S);C W=T 1u(64);C a,b,c,d,e,f,g,h,i,j;C 3g,40;m[l>>5]|=2G<<(24-l%32);m[((l+64>>9)<<4)+15]=l;P(C i=0;i<m.V;i+=16){a=Z[0];b=Z[1];c=Z[2];d=Z[3];e=Z[4];f=Z[5];g=Z[6];h=Z[7];P(C j=0;j<64;j++){D(j<16)W[j]=m[j+i];J W[j]=1e(1e(1e(7c(W[j-2]),W[j-7]),7b(W[j-15])),W[j-16]);3g=1e(1e(1e(1e(h,7a(e)),78(e,f,g)),K[j]),W[j]);40=1e(77(a),76(a,b,c));h=g;g=f;f=e;e=1e(d,3g);d=c;c=b;b=a;a=1e(3g,40)}Z[0]=1e(a,Z[0]);Z[1]=1e(b,Z[1]);Z[2]=1e(c,Z[2]);Z[3]=1e(d,Z[3]);Z[4]=1e(e,Z[4]);Z[5]=1e(f,Z[5]);Z[6]=1e(g,Z[6]);Z[7]=1e(h,Z[7])}F Z}E 6X(1L){C 3Z=1u();C 75=(1<<2o)-1;P(C i=0;i<1L.V*2o;i+=2o){3Z[i>>5]|=(1L.1Z(i/2o)&75)<<(24-i%32)}F 3Z}E 70(2n){2n=2n.9R(/\\r\\n/g,"\\n");C 1P="";P(C n=0;n<2n.V;n++){C c=2n.1Z(n);D(c<3f){1P+=2q.2p(c)}J D((c>5I)&&(c<9Q)){1P+=2q.2p((c>>6)|9P);1P+=2q.2p((c&63)|3f)}J{1P+=2q.2p((c>>12)|9O);1P+=2q.2p(((c>>6)&63)|3f);1P+=2q.2p((c&63)|3f)}}F 1P}E 6Z(3e){C 3Y=74?"9N":"9M";C 1L="";P(C i=0;i<3e.V*4;i++){1L+=3Y.2I((3e[i>>2]>>((3-i%4)*8+4))&72)+3Y.2I((3e[i>>2]>>((3-i%4)*8))&72)}F 1L}s=70(s);F 6Z(6Y(6X(s),s.V*2o))}E 3d(){o.i=0;o.j=0;o.S=T 1u()}E 6W(2r){C i,j,t;P(i=0;i<1O;++i)o.S[i]=i;j=0;P(i=0;i<1O;++i){j=(j+o.S[i]+2r[i%2r.V])&1B;t=o.S[i];o.S[i]=o.S[j];o.S[j]=t}o.i=0;o.j=0}E 6V(){C t;o.i=(o.i+1)&1B;o.j=(o.j+o.S[o.i])&1B;t=o.S[o.i];o.S[o.i]=o.S[o.j];o.S[o.j]=t;F o.S[(t+o.S[o.i])&1B]}3d.H.6Q=6W;3d.H.6P=6V;E 6R(){F T 3d()}C 3c=1O;C 2M;C 1r;C 1f;E 6U(x){1r[1f++]^=x&1B;1r[1f++]^=(x>>8)&1B;1r[1f++]^=(x>>16)&1B;1r[1f++]^=(x>>24)&1B;D(1f>=3c)1f-=3c}E 3X(){6U(T 9L().9K())}D(1r==Y){1r=T 1u();1f=0;C t;D(3b.3T=="6J"&&3b.9J<"5"&&2v.6T){C z=2v.6T.6S(32);P(t=0;t<z.V;++t)1r[1f++]=z.1Z(t)&1B}L(1f<3c){t=1d.1W(9I*1d.6S());1r[1f++]=t>>>8;1r[1f++]=t&1B}1f=0;3X();}E 6O(){D(2M==Y){3X();2M=6R();2M.6Q(1r);P(1f=0;1f<1r.V;++1f)1r[1f]=0;1f=0;}F 2M.6P()}E 6N(3W){C i;P(i=0;i<3W.V;++i)3W[i]=6O()}E 3v(){}3v.H.5U=6N;C 1J;C 6M=9H;C 3U=((6M&9G)==9F);E G(a,b,c){D(a!=Y)D("5V"==2W a)o.3z(a,b,c);J D(b==Y&&"2n"!=2W a)o.34(a,1O);J o.34(a,b)}E Q(){F T G(Y)}E 6I(i,x,w,j,c,n){L(--n>=0){C v=x*o[i++]+w[j]+c;c=1d.1W(v/9E);w[j++]=v&9D}F c}E 6K(i,x,w,j,c,n){C 2m=x&2J,2l=x>>15;L(--n>=0){C l=o[i]&2J;C h=o[i++]>>15;C m=2l*l+h*2m;l=2m*l+((m&2J)<<15)+w[j]+(c&6L);c=(l>>>30)+(m>>>15)+2l*h+(c>>>30);w[j++]=l&6L}F c}E 6H(i,x,w,j,c,n){C 2m=x&3V,2l=x>>14;L(--n>=0){C l=o[i]&3V;C h=o[i++]>>14;C m=2l*l+h*2m;l=2m*l+((m&3V)<<14)+w[j]+c;c=(l>>28)+(m>>14)+2l*h;w[j++]=l&9C}F c}D(3U&&(3b.3T=="4z 9B 9A")){G.H.am=6K;1J=30}J D(3U&&(3b.3T!="6J")){G.H.am=6I;1J=26}J{G.H.am=6H;1J=28}G.H.O=1J;G.H.1g=((1<<1J)-1);G.H.1l=(1<<1J);C 3a=52;G.H.6F=1d.2w(2,3a);G.H.3R=3a-1J;G.H.3P=2*1J-3a;C 6G="9z";C 2L=T 1u();C 20,1q;20="0".1Z(0);P(1q=0;1q<=9;++1q)2L[20++]=1q;20="a".1Z(0);P(1q=10;1q<36;++1q)2L[20++]=1q;20="A".1Z(0);P(1q=10;1q<36;++1q)2L[20++]=1q;E 3S(n){F 6G.2I(n)}E 3L(s,i){C c=2L[s.1Z(i)];F(c==Y)?-1:c}E 6n(r){P(C i=o.t-1;i>=0;--i)r[i]=o[i];r.t=o.t;r.s=o.s}E 6m(x){o.t=1;o.s=(x<0)?-1:0;D(x>0)o[0]=x;J D(x<-1)o[0]=x+1l;J o.t=0}E 1G(i){C r=Q();r.2c(i);F r}E 6l(s,b){C k;D(b==16)k=4;J D(b==8)k=3;J D(b==1O)k=8;J D(b==2)k=1;J D(b==32)k=5;J D(b==4)k=2;J{o.5C(s,b);F}o.t=0;o.s=0;C i=s.V,1X=1n,1p=0;L(--i>=0){C x=(k==8)?s[i]&2F:3L(s,i);D(x<0){D(s.2I(i)=="-")1X=1D;5W}1X=1n;D(1p==0)o[o.t++]=x;J D(1p+k>o.O){o[o.t-1]|=(x&((1<<(o.O-1p))-1))<<1p;o[o.t++]=(x>>(o.O-1p))}J o[o.t-1]|=x<<1p;1p+=k;D(1p>=o.O)1p-=o.O}D(k==8&&(s[0]&2G)!=0){o.s=-1;D(1p>0)o[o.t-1]|=((1<<(o.O-1p))-1)<<1p}o.1m();D(1X)G.1t.U(o,o)}E 6k(){C c=o.s&o.1g;L(o.t>0&&o[o.t-1]==c)--o.t}E 66(b){D(o.s<0)F"-"+o.2z().1x(b);C k;D(b==16)k=4;J D(b==8)k=3;J D(b==2)k=1;J D(b==32)k=5;J D(b==4)k=2;J F o.5E(b);C 2B=(1<<k)-1,d,m=1n,r="",i=o.t;C 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2K=(1<<1A)-1;r[0]=o[1o]>>1A;P(C i=1o+1;i<o.t;++i){r[i-1o-1]|=(o[i]&2K)<<2k;r[i-1o]=o[i]>>1A}D(1A>0)r[o.t-1o-1]|=(o.s&2K)<<2k;r.t=o.t-1o;r.1m()}E 6f(a,r){C i=0,c=0,m=1d.1K(a.t,o.t);L(i<m){c+=o[i]-a[i];r[i++]=c&o.1g;c>>=o.O}D(a.t<o.t){c-=a.s;L(i<o.t){c+=o[i];r[i++]=c&o.1g;c>>=o.O}c+=o.s}J{c+=o.s;L(i<a.t){c-=a[i];r[i++]=c&o.1g;c>>=o.O}c-=a.s}r.s=(c<0)?-1:0;D(c<-1)r[i++]=o.1l+c;J D(c>0)r[i++]=c;r.t=i;r.1m()}E 6e(a,r){C x=o.1F(),y=a.1F();C i=x.t;r.t=i+y.t;L(--i>=0)r[i]=0;P(i=0;i<y.t;++i)r[i+x.t]=x.am(0,y[i],r,i,0,x.t);r.s=0;r.1m();D(o.s!=a.s)G.1t.U(r,r)}E 6d(r){C x=o.1F();C i=r.t=2*x.t;L(--i>=0)r[i]=0;P(i=0;i<x.t-1;++i){C c=x.am(i,x[i],r,2*i,0,1);D((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1))>=x.1l){r[i+x.t]-=x.1l;r[i+x.t+1]=1}}D(r.t>0)r[r.t-1]+=x.am(i,x[i],r,2*i,0,1);r.s=0;r.1m()}E 6c(m,q,r){C 1Y=m.1F();D(1Y.t<=0)F;C 39=o.1F();D(39.t<1Y.t){D(q!=Y)q.2c(0);D(r!=Y)o.1H(r);F}D(r==Y)r=Q();C y=Q(),3O=o.s,6C=m.s;C 2j=o.O-2C(1Y[1Y.t-1]);D(2j>0){1Y.2d(2j,y);39.2d(2j,r)}J{1Y.1H(y);39.1H(r)}C 1z=y.t;C 38=y[1z-1];D(38==0)F;C 3Q=38*(1<<o.3R)+((1z>1)?y[1z-2]>>o.3P:0);C 6E=o.6F/3Q,6D=(1<<o.3R)/3Q,e=1<<o.3P;C i=r.t,j=i-1z,t=(q==Y)?Q():q;y.2h(j,t);D(r.1c(t)>=0){r[r.t++]=1;r.U(t,r)}G.1s.2h(1z,t);t.U(y,y);L(y.t<1z)y[y.t++]=0;L(--j>=0){C 35=(r[--i]==38)?o.1g:1d.1W(r[i]*6E+(r[i-1]+e)*6D);D((r[i]+=y.am(0,35,r,j,0,1z))<35){y.2h(j,t);r.U(t,r);L(r[i]<--35)r.U(t,r)}}D(q!=Y){r.2E(1z,q);D(3O!=6C)G.1t.U(q,q)}r.t=1z;r.1m();D(2j>0)r.1h(2j,r);D(3O<0)G.1t.U(r,r)}E 5Y(a){C r=Q();o.1F().1I(a,Y,r);D(o.s<0&&r.1c(G.1t)>0)a.U(r,r);F r}E 1N(m){o.m=m}E 6B(x){D(x.s<0||x.1c(o.m)>=0)F x.3F(o.m);J F x}E 6A(x){F x}E 6z(x){x.1I(o.m,Y,x)}E 6y(x,y,r){x.2g(y,r);o.1v(r)}E 6x(x,r){x.2D(r);o.1v(r)}1N.H.2f=6B;1N.H.2e=6A;1N.H.1v=6z;1N.H.1T=6y;1N.H.1y=6x;E 6a(){D(o.t<1)F 0;C x=o[0];D((x&1)==0)F 0;C y=x&3;y=(y*(2-(x&3K)*y))&3K;y=(y*(2-(x&2F)*y))&2F;y=(y*(2-(((x&33)*y)&33)))&33;y=(y*(2-x*y%o.1l))%o.1l;F(y>0)?o.1l-y:-y}E 1M(m){o.m=m;o.3N=m.6b();o.3M=o.3N&2J;o.6v=o.3N>>15;o.6u=(1<<(m.O-15))-1;o.6w=2*m.t}E 6s(x){C r=Q();x.1F().2h(o.m.t,r);r.1I(o.m,Y,r);D(x.s<0&&r.1c(G.1t)>0)o.m.U(r,r);F r}E 6r(x){C r=Q();x.1H(r);o.1v(r);F r}E 6q(x){L(x.t<=o.6w)x[x.t++]=0;P(C i=0;i<o.m.t;++i){C j=x[i]&2J;C 6t=(j*o.3M+(((j*o.6v+(x[i]>>15)*o.3M)&o.6u)<<15))&x.1g;j=i+o.m.t;x[j]+=o.m.am(0,6t,x,i,0,o.m.t);L(x[j]>=x.1l){x[j]-=x.1l;x[++j]++}}x.1m();x.2E(o.m.t,x);D(x.1c(o.m)>=0)x.U(o.m,x)}E 6o(x,r){x.2D(r);o.1v(r)}E 6p(x,y,r){x.2g(y,r);o.1v(r)}1M.H.2f=6s;1M.H.2e=6r;1M.H.1v=6q;1M.H.1T=6p;1M.H.1y=6o;E 69(){F((o.t>0)?(o[0]&1):o.s)==0}E 68(e,z){D(e>9y||e<1)F G.1s;C r=Q(),1a=Q(),g=z.2f(o),i=2C(e)-1;g.1H(r);L(--i>=0){z.1y(r,1a);D((e&(1<<i))>0)z.1T(1a,g,r);J{C t=r;r=1a;1a=t}}F z.2e(r)}E 5X(e,m){C z;D(e<1O||m.1k())z=T 1N(m);J z=T 1M(m);F o.3G(e,z)}G.H.1H=6n;G.H.2c=6m;G.H.34=6l;G.H.1m=6k;G.H.2h=6j;G.H.2E=6i;G.H.2d=6h;G.H.1h=6g;G.H.U=6f;G.H.2g=6e;G.H.2D=6d;G.H.1I=6c;G.H.6b=6a;G.H.1k=69;G.H.3G=68;G.H.1x=66;G.H.2z=65;G.H.1F=62;G.H.1c=60;G.H.3D=5Z;G.H.3F=5Y;G.H.5G=5X;G.1t=1G(0);G.1s=1G(1);E 5m(){C r=Q();o.1H(r);F r}E 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diff --git a/javascript/srp.js b/javascript/srp.js index cd05a5e..cb788b3 100644 --- a/javascript/srp.js +++ b/javascript/srp.js @@ -17,6 +17,7 @@ function SRP(username, password, ser, base_url) var K = null; var M = null; var M2 = null; + var salt = null; var url = base_url; var server = ser; var that = this; @@ -48,7 +49,11 @@ function SRP(username, password, ser, base_url) }; this.calcX = function(s) { - return new BigInteger(SHA256(s + SHA256(I + ":" + p)), 16); + return that.calcXp(s, p); + }; + this.calcXp = function(s, ph) + { + return new BigInteger(SHA256(s + SHA256(I + ":" + ph)), 16); }; function paths(str) @@ -117,7 +122,15 @@ function SRP(username, password, ser, base_url) if(xhr.responseXML.getElementsByTagName("r").length > 0) { var response = xhr.responseXML.getElementsByTagName("r")[0]; - calculations(response.getAttribute("s"), response.getAttribute("B")); + if(!response.getAttribute("a")) + { + calculations(response.getAttribute("s"), response.getAttribute("B"), p); + send_hash(M, confirm_authentication, url+paths("authenticate/")); + } + else + { + upgrade(response.getAttribute("s"), response.getAttribute("B"), response.getAttribute("a"), response.getAttribute("d")); + } } else if(xhr.responseXML.getElementsByTagName("error").length > 0) { @@ -127,9 +140,56 @@ function SRP(username, password, ser, base_url) } } }; - + function upgrade(s,ephemeral,algo,dsalt) + { + import_hashes(); + function do_upgrade() + { + // If sha1 and md5 are still undefined, sleep again + if(!isdefined("SHA1") || !isdefined("MD5")) + { + window.setTimeout(do_upgrade, 10); + return; + } + if(algo == "sha1") + hashfun = SHA1; + else if(algo == "md5") + hashfun = MD5; + calculations(s, ephemeral, hashfun(dsalt+p)); + salt = s; + send_hash(M, confirm_upgrade, url+paths("upgrade/authenticate/")); + }; + window.setTimeout(do_upgrade,10); + }; + function confirm_upgrade() + { + if(xhr.readyState == 4 && xhr.status == 200) { + if(xhr.responseXML.getElementsByTagName("M").length > 0) + { + if(that.innerxml(xhr.responseXML.getElementsByTagName("M")[0]) == M2) + { + var params = "p="+p; + var auth_url = that.geturl() + that.paths("upgrade/verifier/"); + that.ajaxRequest(auth_url, params, confirm_verifier); + } + else + that.error_message("Server key does not match"); + } + else if (xhr.responseXML.getElementsByTagName("error").length > 0) + { + that.error_message(that.innerxml(xhr.responseXML.getElementsByTagName("error")[0])); + } + } + }; + function confirm_verifier() + { + if(xhr.readyState == 4 && xhr.status == 200) { + if(xhr.responseXML.getElementsByTagName("ok").length > 0) + that.identify(); + } + }; // Calculate S, M, and M2 - function calculations(s, ephemeral) + function calculations(s, ephemeral, pass) { //S -> C: s | B B = new BigInteger(ephemeral, 16); @@ -137,7 +197,7 @@ function SRP(username, password, ser, base_url) // u = H(A,B) u = new BigInteger(SHA256(Astr + Bstr), 16); // x = H(s, H(I:p)) - x = new BigInteger(SHA256(s + SHA256(I + ":" + p)), 16); + x = new BigInteger(SHA256(s + SHA256(I + ":" + pass)), 16); //S = (B - kg^x) ^ (a + ux) var kgx = k.multiply(g.modPow(x, N)); var aux = a.add(u.multiply(x)); @@ -146,16 +206,14 @@ function SRP(username, password, ser, base_url) var Mstr = A.toString(16) + B.toString(16) + S.toString(16); M = SHA256(Mstr); M2 = SHA256(A.toString(16) + M + S.toString(16)); - send_hash(M); //M2 = H(A, M, K) }; // Send M to the server - function send_hash(M) + function send_hash(M, confirm_fun, auth_url) { var params = "M="+M; - var auth_url = url+paths("authenticate/"); - that.ajaxRequest(auth_url, params, confirm_authentication); + that.ajaxRequest(auth_url, params, confirm_fun); }; // Receive M2 from the server and verify it function confirm_authentication() @@ -183,13 +241,12 @@ function SRP(username, password, ser, base_url) scriptElt.type = 'text/javascript'; scriptElt.src = fname; document.getElementsByTagName('head')[0].appendChild(scriptElt); - }; // If we need SHA1 or MD5, we need to load the javascript files function import_hashes() { // First check that the functions aren't already loaded - if(that.isdefined("SHA1") && that.isdefined("MD5")) return; + if(isdefined("SHA1") && isdefined("MD5")) return; // Get the directory that this javascript file was loaded from var arr=that.srpPath.split("/"); var path = arr.slice(0, arr.length-1).join("/"); |