merge resolved?

core/bitArray.js

@@ -42,6 +42,27 @@ sjcl.bitArray = {
     return (bend === undefined) ? a : sjcl.bitArray.clamp(a, bend-bstart);
   },
 
+  /**
+   * Extract a number packed into a bit array.
+   * @param {bitArray} a The array to slice.
+   * @param {Number} bstart The offset to the start of the slice, in bits.
+   * @param {Number} length The length of the number to extract.
+   * @return {Number} The requested slice.
+   */
+  extract: function(a, bstart, blength) {
+    // FIXME: this Math.floor is not necessary at all, but for some reason
+    // seems to suppress a bug in the Chromium JIT.
+    var x, sh = Math.floor((-bstart-blength) & 31);
+    if ((bstart + blength - 1 ^ bstart) & -32) {
+      // it crosses a boundary
+      x = (a[bstart/32|0] << (32 - sh)) ^ (a[bstart/32+1|0] >>> sh);
+    } else {
+      // within a single word
+      x = a[bstart/32|0] >>> sh;
+    }
+    return x & ((1<<blength) - 1);
+  },
+
   /**
    * Concatenate two bit arrays.
    * @param {bitArray} a1 The first array.

core/bn.js

@@ -0,0 +1,534 @@
+/**
+ * Constructs a new bignum from another bignum, a number or a hex string.
+ */
+sjcl.bn = function(it) {
+  this.initWith(it);
+};
+
+sjcl.bn.prototype = {
+  radix: 24,
+  maxMul: 8,
+  _class: sjcl.bn,
+  
+  copy: function() {
+    return new this._class(this);
+  },
+
+  /**
+   * Initializes this with it, either as a bn, a number, or a hex string.
+   */
+  initWith: function(it) {
+    var i=0, k, n, l;
+    switch(typeof it) {
+    case "object":
+      this.limbs = it.limbs.slice(0);
+      break;
+      
+    case "number":
+      this.limbs = [it];
+      this.normalize();
+      break;
+      
+    case "string":
+      it = it.replace(/^0x/, '');
+      this.limbs = [];
+      // hack
+      k = this.radix / 4;
+      for (i=0; i < it.length; i+=k) {
+        this.limbs.push(parseInt(it.substring(Math.max(it.length - i - k, 0), it.length - i),16));
+      }
+      break;
+
+    default:
+      this.limbs = [0];
+    }
+    return this;
+  },
+
+  /**
+   * Returns true if "this" and "that" are equal.  Calls fullReduce().
+   * Equality test is in constant time.
+   */
+  equals: function(that) {
+    if (typeof that === "number") { that = new this._class(that); }
+    var difference = 0, i;
+    this.fullReduce();
+    that.fullReduce();
+    for (i = 0; i < this.limbs.length || i < that.limbs.length; i++) {
+      difference |= this.getLimb(i) ^ that.getLimb(i);
+    }
+    return (difference === 0);
+  },
+  
+  /**
+   * Get the i'th limb of this, zero if i is too large.
+   */
+  getLimb: function(i) {
+    return (i >= this.limbs.length) ? 0 : this.limbs[i];
+  },
+  
+  /**
+   * Constant time comparison function.
+   * Returns 1 if this >= that, or zero otherwise.
+   */
+  greaterEquals: function(that) {
+    if (typeof that === "number") { that = new this._class(that); }
+    var less = 0, greater = 0, i, a, b;
+    i = Math.max(this.limbs.length, that.limbs.length) - 1;
+    for (; i>= 0; i--) {
+      a = this.getLimb(i);
+      b = that.getLimb(i);
+      greater |= (b - a) & ~less;
+      less |= (a - b) & ~greater;
+    }
+    return (greater | ~less) >>> 31;
+  },
+  
+  /**
+   * Convert to a hex string.
+   */
+  toString: function() {
+    this.fullReduce();
+    var out="", i, s, l = this.limbs;
+    for (i=0; i < this.limbs.length; i++) {
+      s = l[i].toString(16);
+      while (i < this.limbs.length - 1 && s.length < 6) {
+        s = "0" + s;
+      }
+      out = s + out;
+    }
+    return "0x"+out;
+  },
+  
+  /** this += that.  Does not normalize. */
+  addM: function(that) {
+    if (typeof(that) !== "object") { that = new this._class(that); }
+    var i, l=this.limbs, ll=that.limbs;
+    for (i=l.length; i<ll.length; i++) {
+      l[i] = 0;
+    }
+    for (i=0; i<ll.length; i++) {
+      l[i] += ll[i];
+    }
+    return this;
+  },
+  
+  /** this *= 2.  Requires normalized; ends up normalized. */
+  doubleM: function() {
+    var i, carry=0, tmp, r=this.radix, m=this.radixMask, l=this.limbs;
+    for (i=0; i<l.length; i++) {
+      tmp = l[i];
+      tmp = tmp+tmp+carry;
+      l[i] = tmp & m;
+      carry = tmp >> r;
+    }
+    if (carry) {
+      l.push(carry);
+    }
+    return this;
+  },
+  
+  /** this /= 2, rounded down.  Requires normalized; ends up normalized. */
+  halveM: function() {
+    var i, carry=0, tmp, r=this.radix, l=this.limbs;
+    for (i=l.length-1; i>=0; i--) {
+      tmp = l[i];
+      l[i] = (tmp+carry)>>1;
+      carry = (tmp&1) << r;
+    }
+    if (!l[l.length-1]) {
+      l.pop();
+    }
+    return this;
+  },
+
+  /** this -= that.  Does not normalize. */
+  subM: function(that) {
+    if (typeof(that) !== "object") { that = new this._class(that); }
+    var i, l=this.limbs, ll=that.limbs;
+    for (i=l.length; i<ll.length; i++) {
+      l[i] = 0;
+    }
+    for (i=0; i<ll.length; i++) {
+      l[i] -= ll[i];
+    }
+    return this;
+  },
+  
+  mod: function(that) {
+    that = new sjcl.bn(that).normalize(); // copy before we begin
+    var out = new sjcl.bn(this).normalize(), ci=0;
+    
+    for (; out.greaterEquals(that); ci++) {
+      that.doubleM();
+    }
+    for (; ci > 0; ci--) {
+      that.halveM();
+      if (out.greaterEquals(that)) {
+        out.subM(that).normalize();
+      }
+    }
+    return out.trim();
+  },
+  
+  /** return inverse mod prime p.  p must be odd. Binary extended Euclidean algorithm mod p. */
+  inverseMod: function(p) {
+    var a = new sjcl.bn(1), b = new sjcl.bn(0), x = new sjcl.bn(this), y = new sjcl.bn(p), tmp, i, nz=1;
+    
+    if (!(p.limbs[0] & 1)) {
+      throw (new sjcl.exception.invalid("inverseMod: p must be odd"));
+    }
+    
+    // invariant: y is odd
+    do {
+      if (x.limbs[0] & 1) {
+        if (!x.greaterEquals(y)) {
+          // x < y; swap everything
+          tmp = x; x = y; y = tmp;
+          tmp = a; a = b; b = tmp;
+        }
+        x.subM(y);
+        x.normalize();
+        
+        if (!a.greaterEquals(b)) {
+          a.addM(p);
+        }
+        a.subM(b);
+      }
+      
+      // cut everything in half
+      x.halveM();
+      if (a.limbs[0] & 1) {
+        a.addM(p);
+      }
+      a.normalize();
+      a.halveM();
+      
+      // check for termination: x ?= 0
+      for (i=nz=0; i<x.limbs.length; i++) {
+        nz |= x.limbs[i];
+      }
+    } while(nz);
+    
+    if (!y.equals(1)) {
+      throw (new sjcl.exception.invalid("inverseMod: p and x must be relatively prime"));
+    }
+    
+    return b;
+  },
+  
+  /** this + that.  Does not normalize. */
+  add: function(that) {
+    return this.copy().addM(that);
+  },
+
+  /** this - that.  Does not normalize. */
+  sub: function(that) {
+    return this.copy().subM(that);
+  },
+  
+  /** this * that.  Normalizes and reduces. */
+  mul: function(that) {
+    if (typeof(that) === "number") { that = new this._class(that); }
+    var i, j, a = this.limbs, b = that.limbs, al = a.length, bl = b.length, out = new this._class(), c = out.limbs, ai, ii=this.maxMul;
+
+    for (i=0; i < this.limbs.length + that.limbs.length + 1; i++) {
+      c[i] = 0;
+    }
+    for (i=0; i<al; i++) {
+      ai = a[i];
+      for (j=0; j<bl; j++) {
+        c[i+j] += ai * b[j];
+      }
+     
+      if (!--ii) {
+        ii = this.maxMul;
+        out.cnormalize();
+      }
+    }
+    return out.cnormalize().reduce();
+  },
+
+  /** this ^ 2.  Normalizes and reduces. */
+  square: function() {
+    return this.mul(this);
+  },
+
+  /** this ^ n.  Uses square-and-multiply.  Normalizes and reduces. */
+  power: function(l) {
+    if (typeof(l) === "number") {
+      l = [l];
+    } else if (l.limbs !== undefined) {
+      l = l.normalize().limbs;
+    }
+    var i, j, out = new this._class(1), pow = this;
+
+    for (i=0; i<l.length; i++) {
+      for (j=0; j<this.radix; j++) {
+        if (l[i] & (1<<j)) {
+          out = out.mul(pow);
+        }
+        pow = pow.square();
+      }
+    }
+    
+    return out;
+  },
+
+  /** this * that mod N */
+  mulmod: function(that, N) {
+    return this.mod(N).mul(that.mod(N)).mod(N);
+  },
+
+  /** this ^ x mod N */
+  powermod: function(x, N) {
+    var result = new sjcl.bn(1), a = new sjcl.bn(this), k = new sjcl.bn(x);
+    while (true) {
+      if (k.limbs[0] & 1) { result = result.mulmod(a, N); }
+      k.halveM();
+      if (k.equals(0)) { break; }
+      a = a.mulmod(a, N);
+    }
+    return result.normalize().reduce();
+  },
+
+  trim: function() {
+    var l = this.limbs, p;
+    do {
+      p = l.pop();
+    } while (l.length && p === 0);
+    l.push(p);
+    return this;
+  },
+  
+  /** Reduce mod a modulus.  Stubbed for subclassing. */
+  reduce: function() {
+    return this;
+  },
+
+  /** Reduce and normalize. */
+  fullReduce: function() {
+    return this.normalize();
+  },
+  
+  /** Propagate carries. */
+  normalize: function() {
+    var carry=0, i, pv = this.placeVal, ipv = this.ipv, l, m, limbs = this.limbs, ll = limbs.length, mask = this.radixMask;
+    for (i=0; i < ll || (carry !== 0 && carry !== -1); i++) {
+      l = (limbs[i]||0) + carry;
+      m = limbs[i] = l & mask;
+      carry = (l-m)*ipv;
+    }
+    if (carry === -1) {
+      limbs[i-1] -= this.placeVal;
+    }
+    return this;
+  },
+
+  /** Constant-time normalize. Does not allocate additional space. */
+  cnormalize: function() {
+    var carry=0, i, ipv = this.ipv, l, m, limbs = this.limbs, ll = limbs.length, mask = this.radixMask;
+    for (i=0; i < ll-1; i++) {
+      l = limbs[i] + carry;
+      m = limbs[i] = l & mask;
+      carry = (l-m)*ipv;
+    }
+    limbs[i] += carry;
+    return this;
+  },
+  
+  /** Serialize to a bit array */
+  toBits: function(len) {
+    this.fullReduce();
+    len = len || this.exponent || this.limbs.length * this.radix;
+    var i = Math.floor((len-1)/24), w=sjcl.bitArray, e = (len + 7 & -8) % this.radix || this.radix,
+        out = [w.partial(e, this.getLimb(i))];
+    for (i--; i >= 0; i--) {
+      out = w.concat(out, [w.partial(this.radix, this.getLimb(i))]);
+    }
+    return out;
+  },
+  
+  /** Return the length in bits, rounded up to the nearest byte. */
+  bitLength: function() {
+    this.fullReduce();
+    var out = this.radix * (this.limbs.length - 1),
+        b = this.limbs[this.limbs.length - 1];
+    for (; b; b >>= 1) {
+      out ++;
+    }
+    return out+7 & -8;
+  }
+};
+
+sjcl.bn.fromBits = function(bits) {
+  var Class = this, out = new Class(), words=[], w=sjcl.bitArray, t = this.prototype,
+      l = Math.min(this.bitLength || 0x100000000, w.bitLength(bits)), e = l % t.radix || t.radix;
+  
+  words[0] = w.extract(bits, 0, e);
+  for (; e < l; e += t.radix) {
+    words.unshift(w.extract(bits, e, t.radix));
+  }
+
+  out.limbs = words;
+  return out;
+};
+
+
+
+sjcl.bn.prototype.ipv = 1 / (sjcl.bn.prototype.placeVal = Math.pow(2,sjcl.bn.prototype.radix));
+sjcl.bn.prototype.radixMask = (1 << sjcl.bn.prototype.radix) - 1;
+
+/**
+ * Creates a new subclass of bn, based on reduction modulo a pseudo-Mersenne prime,
+ * i.e. a prime of the form 2^e + sum(a * 2^b),where the sum is negative and sparse.
+ */
+sjcl.bn.pseudoMersennePrime = function(exponent, coeff) {
+  function p(it) {
+    this.initWith(it);
+    /*if (this.limbs[this.modOffset]) {
+      this.reduce();
+    }*/
+  }
+
+  var ppr = p.prototype = new sjcl.bn(), i, tmp, mo;
+  mo = ppr.modOffset = Math.ceil(tmp = exponent / ppr.radix);
+  ppr.exponent = exponent;
+  ppr.offset = [];
+  ppr.factor = [];
+  ppr.minOffset = mo;
+  ppr.fullMask = 0;
+  ppr.fullOffset = [];
+  ppr.fullFactor = [];
+  ppr.modulus = p.modulus = new sjcl.bn(Math.pow(2,exponent));
+  
+  ppr.fullMask = 0|-Math.pow(2, exponent % ppr.radix);
+
+  for (i=0; i<coeff.length; i++) {
+    ppr.offset[i] = Math.floor(coeff[i][0] / ppr.radix - tmp);
+    ppr.fullOffset[i] = Math.ceil(coeff[i][0] / ppr.radix - tmp);
+    ppr.factor[i] = coeff[i][1] * Math.pow(1/2, exponent - coeff[i][0] + ppr.offset[i] * ppr.radix);
+    ppr.fullFactor[i] = coeff[i][1] * Math.pow(1/2, exponent - coeff[i][0] + ppr.fullOffset[i] * ppr.radix);
+    ppr.modulus.addM(new sjcl.bn(Math.pow(2,coeff[i][0])*coeff[i][1]));
+    ppr.minOffset = Math.min(ppr.minOffset, -ppr.offset[i]); // conservative
+  }
+  ppr._class = p;
+  ppr.modulus.cnormalize();
+
+  /** Approximate reduction mod p.  May leave a number which is negative or slightly larger than p. */
+  ppr.reduce = function() {
+    var i, k, l, mo = this.modOffset, limbs = this.limbs, aff, off = this.offset, ol = this.offset.length, fac = this.factor, ll;
+
+    i = this.minOffset;
+    while (limbs.length > mo) {
+      l = limbs.pop();
+      ll = limbs.length;
+      for (k=0; k<ol; k++) {
+        limbs[ll+off[k]] -= fac[k] * l;
+      }
+      
+      i--;
+      if (!i) {
+        limbs.push(0);
+        this.cnormalize();
+        i = this.minOffset;
+      }
+    }
+    this.cnormalize();
+
+    return this;
+  };
+  
+  ppr._strongReduce = (ppr.fullMask === -1) ? ppr.reduce : function() {
+    var limbs = this.limbs, i = limbs.length - 1, k, l;
+    this.reduce();
+    if (i === this.modOffset - 1) {
+      l = limbs[i] & this.fullMask;
+      limbs[i] -= l;
+      for (k=0; k<this.fullOffset.length; k++) {
+        limbs[i+this.fullOffset[k]] -= this.fullFactor[k] * l;
+      }
+      this.normalize();
+    }
+  };
+
+  /** mostly constant-time, very expensive full reduction. */
+  ppr.fullReduce = function() {
+    var greater, i;
+    // massively above the modulus, may be negative
+    
+    this._strongReduce();
+    // less than twice the modulus, may be negative
+
+    this.addM(this.modulus);
+    this.addM(this.modulus);
+    this.normalize();
+    // probably 2-3x the modulus
+    
+    this._strongReduce();
+    // less than the power of 2.  still may be more than
+    // the modulus
+
+    // HACK: pad out to this length
+    for (i=this.limbs.length; i<this.modOffset; i++) {
+      this.limbs[i] = 0;
+    }
+    
+    // constant-time subtract modulus
+    greater = this.greaterEquals(this.modulus);
+    for (i=0; i<this.limbs.length; i++) {
+      this.limbs[i] -= this.modulus.limbs[i] * greater;
+    }
+    this.cnormalize();
+
+    return this;
+  };
+
+  ppr.inverse = function() {
+    return (this.power(this.modulus.sub(2)));
+  };
+
+  p.fromBits = sjcl.bn.fromBits;
+
+  return p;
+};
+
+// a small Mersenne prime
+sjcl.bn.prime = {
+  p127: sjcl.bn.pseudoMersennePrime(127, [[0,-1]]),
+
+  // Bernstein's prime for Curve25519
+  p25519: sjcl.bn.pseudoMersennePrime(255, [[0,-19]]),
+
+  // NIST primes
+  p192: sjcl.bn.pseudoMersennePrime(192, [[0,-1],[64,-1]]),
+  p224: sjcl.bn.pseudoMersennePrime(224, [[0,1],[96,-1]]),
+  p256: sjcl.bn.pseudoMersennePrime(256, [[0,-1],[96,1],[192,1],[224,-1]]),
+  p384: sjcl.bn.pseudoMersennePrime(384, [[0,-1],[32,1],[96,-1],[128,-1]]),
+  p521: sjcl.bn.pseudoMersennePrime(521, [[0,-1]])
+};
+
+sjcl.bn.random = function(modulus, paranoia) {
+  if (typeof modulus !== "object") { modulus = new sjcl.bn(modulus); }
+  var words, i, l = modulus.limbs.length, m = modulus.limbs[l-1]+1, out = new sjcl.bn();
+  while (true) {
+    // get a sequence whose first digits make sense
+    do {
+      words = sjcl.random.randomWords(l, paranoia);
+      if (words[l-1] < 0) { words[l-1] += 0x100000000; }
+    } while (Math.floor(words[l-1] / m) === Math.floor(0x100000000 / m));
+    words[l-1] %= m;
+
+    // mask off all the limbs
+    for (i=0; i<l-1; i++) {
+      words[i] &= modulus.radixMask;
+    }
+
+    // check the rest of the digitssj
+    out.limbs = words;
+    if (!out.greaterEquals(modulus)) {
+      return out;
+    }
+  }
+};
+

core/sha1.js

@@ -0,0 +1,165 @@
+/** @fileOverview Javascript SHA-1 implementation.
+ *
+ * Based on the implementation in RFC 3174, method 1, and on the SJCL
+ * SHA-256 implementation.
+ *
+ * @author Quinn Slack
+ */
+
+/**
+ * Context for a SHA-1 operation in progress.
+ * @constructor
+ * @class Secure Hash Algorithm, 160 bits.
+ */
+sjcl.hash.sha1 = function (hash) {
+  if (hash) {
+    this._h = hash._h.slice(0);
+    this._buffer = hash._buffer.slice(0);
+    this._length = hash._length;
+  } else {
+    this.reset();
+  }
+};
+
+/**
+ * Hash a string or an array of words.
+ * @static
+ * @param {bitArray|String} data the data to hash.
+ * @return {bitArray} The hash value, an array of 5 big-endian words.
+ */
+sjcl.hash.sha1.hash = function (data) {
+  return (new sjcl.hash.sha1()).update(data).finalize();
+};
+
+sjcl.hash.sha1.prototype = {
+  /**
+   * The hash's block size, in bits.
+   * @constant
+   */
+  blockSize: 512,
+   
+  /**
+   * Reset the hash state.
+   * @return this
+   */
+  reset:function () {
+    this._h = this._init.slice(0);
+    this._buffer = [];
+    this._length = 0;
+    return this;
+  },
+  
+  /**
+   * Input several words to the hash.
+   * @param {bitArray|String} data the data to hash.
+   * @return this
+   */
+  update: function (data) {
+    if (typeof data === "string") {
+      data = sjcl.codec.utf8String.toBits(data);
+    }
+    var i, b = this._buffer = sjcl.bitArray.concat(this._buffer, data),
+        ol = this._length,
+        nl = this._length = ol + sjcl.bitArray.bitLength(data);
+    for (i = this.blockSize+ol & -this.blockSize; i <= nl;
+         i+= this.blockSize) {
+      this._block(b.splice(0,16));
+    }
+    return this;
+  },
+  
+  /**
+   * Complete hashing and output the hash value.
+   * @return {bitArray} The hash value, an array of 5 big-endian words. TODO
+   */
+  finalize:function () {
+    var i, b = this._buffer, h = this._h;
+
+    // Round out and push the buffer
+    b = sjcl.bitArray.concat(b, [sjcl.bitArray.partial(1,1)]);
+    // Round out the buffer to a multiple of 16 words, less the 2 length words.
+    for (i = b.length + 2; i & 15; i++) {
+      b.push(0);
+    }
+
+    // append the length
+    b.push(Math.floor(this._length / 0x100000000));
+    b.push(this._length | 0);
+
+    while (b.length) {
+      this._block(b.splice(0,16));
+    }
+
+    this.reset();
+    return h;
+  },
+
+  /**
+   * The SHA-1 initialization vector.
+   * @private
+   */
+  _init:[0x67452301, 0xEFCDAB89, 0x98BADCFE, 0x10325476, 0xC3D2E1F0],
+
+  /**
+   * The SHA-1 hash key.
+   * @private
+   */
+  _key:[0x5A827999, 0x6ED9EBA1, 0x8F1BBCDC, 0xCA62C1D6],
+
+  /**
+   * The SHA-1 logical functions f(0), f(1), ..., f(79).
+   * @private
+   */
+  _f:function(t, b, c, d) {
+    if (t <= 19) {
+      return (b & c) | (~b & d);
+    } else if (t <= 39) {
+      return b ^ c ^ d;
+    } else if (t <= 59) {
+      return (b & c) | (b & d) | (c & d);
+    } else if (t <= 79) {
+      return b ^ c ^ d;
+    }
+  },
+
+  /**
+   * Circular left-shift operator.
+   * @private
+   */
+  _S:function(n, x) {
+    return (x << n) | (x >>> 32-n);
+  },
+  
+  /**
+   * Perform one cycle of SHA-1.
+   * @param {bitArray} words one block of words.
+   * @private
+   */
+  _block:function (words) {  
+    var t, tmp, a, b, c, d, e,
+    w = words.slice(0),
+    h = this._h,
+    k = this._key;
+   
+    a = h[0]; b = h[1]; c = h[2]; d = h[3]; e = h[4]; 
+
+    for (t=0; t<=79; t++) {
+      if (t >= 16) {
+        w[t] = this._S(1, w[t-3] ^ w[t-8] ^ w[t-14] ^ w[t-16]);
+      }
+      tmp = (this._S(5, a) + this._f(t, b, c, d) + e + w[t] +
+             this._key[Math.floor(t/20)]) | 0;
+      e = d;
+      d = c;
+      c = this._S(30, b);
+      b = a;
+      a = tmp;
+   }
+
+   h[0] = (h[0]+a) |0;
+   h[1] = (h[1]+b) |0;
+   h[2] = (h[2]+c) |0;
+   h[3] = (h[3]+d) |0;
+   h[4] = (h[4]+e) |0;
+  }
+};

core/sjcl.js

@@ -19,6 +19,9 @@ var sjcl = {
 
   /** @namespace Hash functions.  Right now only SHA256 is implemented. */
   hash: {},
+
+  /** @namespace Key exchange functions.  Right now only SRP is implemented. */
+  keyexchange: {},
   
   /** @namespace Block cipher modes of operation. */
   mode: {},

core/srp.js

@@ -0,0 +1,113 @@
+/** @fileOverview Javascript SRP implementation.
+ *
+ * This file contains a partial implementation of the SRP (Secure Remote
+ * Password) password-authenticated key exchange protocol. Given a user
+ * identity, salt, and SRP group, it generates the SRP verifier that may
+ * be sent to a remote server to establish and SRP account.
+ *
+ * For more information, see http://srp.stanford.edu/.
+ *
+ * @author Quinn Slack
+ */
+
+/**
+ * Compute the SRP verifier from the username, password, salt, and group.
+ * @class SRP
+ */
+sjcl.keyexchange.srp = {
+  /**
+   * Calculates SRP v, the verifier. 
+   *   v = g^x mod N [RFC 5054]
+   * @param {String} I The username.
+   * @param {String} P The password.
+   * @param {Object} s A bitArray of the salt.
+   * @param {Object} group The SRP group. Use sjcl.keyexchange.srp.knownGroup
+                           to obtain this object.
+   * @return {Object} A bitArray of SRP v.
+   */
+  makeVerifier: function(I, P, s, group) {
+    var x;
+    x = this.makeX(I, P, s);
+    x = sjcl.bn.fromBits(x);
+    return group.g.powermod(x, group.N);
+  },
+
+  /**
+   * Calculates SRP x.
+   *   x = SHA1(<salt> | SHA(<username> | ":" | <raw password>)) [RFC 2945]
+   * @param {String} I The username.
+   * @param {String} P The password.
+   * @param {Object} s A bitArray of the salt.
+   * @return {Object} A bitArray of SRP x.
+   */
+  makeX: function(I, P, s) {
+    var inner = sjcl.hash.sha1.hash(I + ':' + P);
+    return sjcl.hash.sha1.hash(sjcl.bitArray.concat(s, inner));
+  },
+
+  /**
+   * Returns the known SRP group with the given size (in bits).
+   * @param {String} i The size of the known SRP group.
+   * @return {Object} An object with "N" and "g" properties.
+   */
+  knownGroup:function(i) {
+    if (typeof i !== "string") { i = i.toString(); }
+    if (!this._didInitKnownGroups) { this._initKnownGroups(); }
+    return this._knownGroups[i];
+  },
+
+  /**
+   * Initializes bignum objects for known group parameters.
+   * @private
+   */
+  _didInitKnownGroups: false,
+  _initKnownGroups:function() {
+    var i, size, group;
+    for (i=0; i < this._knownGroupSizes.length; i++) {
+      size = this._knownGroupSizes[i].toString();
+      group = this._knownGroups[size];
+      group.N = new sjcl.bn(group.N);
+      group.g = new sjcl.bn(group.g);
+    }
+    this._didInitKnownGroups = true;
+  },
+
+  _knownGroupSizes: [1024, 1536, 2048],
+  _knownGroups: {
+    1024: {
+      N: "EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C" +
+         "9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE4" +
+         "8E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B29" +
+         "7BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9A" +
+         "FD5138FE8376435B9FC61D2FC0EB06E3",
+      g:2
+    },
+
+    1536: {
+      N: "9DEF3CAFB939277AB1F12A8617A47BBBDBA51DF499AC4C80BEEEA961" +
+         "4B19CC4D5F4F5F556E27CBDE51C6A94BE4607A291558903BA0D0F843" +
+         "80B655BB9A22E8DCDF028A7CEC67F0D08134B1C8B97989149B609E0B" +
+         "E3BAB63D47548381DBC5B1FC764E3F4B53DD9DA1158BFD3E2B9C8CF5" +
+         "6EDF019539349627DB2FD53D24B7C48665772E437D6C7F8CE442734A" +
+         "F7CCB7AE837C264AE3A9BEB87F8A2FE9B8B5292E5A021FFF5E91479E" +
+         "8CE7A28C2442C6F315180F93499A234DCF76E3FED135F9BB",
+      g: 2
+    },
+
+    2048: {
+      N: "AC6BDB41324A9A9BF166DE5E1389582FAF72B6651987EE07FC319294" +
+         "3DB56050A37329CBB4A099ED8193E0757767A13DD52312AB4B03310D" +
+         "CD7F48A9DA04FD50E8083969EDB767B0CF6095179A163AB3661A05FB" +
+         "D5FAAAE82918A9962F0B93B855F97993EC975EEAA80D740ADBF4FF74" +
+         "7359D041D5C33EA71D281E446B14773BCA97B43A23FB801676BD207A" +
+         "436C6481F1D2B9078717461A5B9D32E688F87748544523B524B0D57D" +
+         "5EA77A2775D2ECFA032CFBDBF52FB3786160279004E57AE6AF874E73" +
+         "03CE53299CCC041C7BC308D82A5698F3A8D0C38271AE35F8E9DBFBB6" +
+         "94B5C803D89F7AE435DE236D525F54759B65E372FCD68EF20FA7111F" +
+         "9E4AFF73",
+      g: 2
+    }
+  }
+
+};
+

sjcl.js

@@ -1,12 +1,12 @@
-"use strict";var sjcl={cipher:{},hash:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a},notready:function(a){this.toString=function(){return"NOT READY: "+this.message};this.message=a}}};
+"use strict";var sjcl={cipher:{},hash:{},keyexchange:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a},notReady:function(a){this.toString=function(){return"NOT READY: "+this.message};this.message=a}}};
 sjcl.cipher.aes=function(a){this.h[0][0][0]||this.w();var b,c,d,e,f=this.h[0][4],g=this.h[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.a=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^
 g[3][f[c&255]]}};
 sjcl.cipher.aes.prototype={encrypt:function(a){return this.H(a,0)},decrypt:function(a){return this.H(a,1)},h:[[[],[],[],[],[]],[[],[],[],[],[]]],w:function(){var a=this.h[0],b=this.h[1],c=a[4],d=b[4],e,f,g,h=[],i=[],k,j,l,m;for(e=0;e<0x100;e++)i[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=k||1,g=i[g]||1){l=g^g<<1^g<<2^g<<3^g<<4;l=l>>8^l&255^99;c[f]=l;d[l]=f;j=h[e=h[k=h[f]]];m=j*0x1010101^e*0x10001^k*0x101^f*0x1010100;j=h[l]*0x101^l*0x1010100;for(e=0;e<4;e++){a[e][f]=j=j<<24^j>>>8;b[e][l]=m=m<<24^m>>>8}}for(e=
 0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},H:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.a[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,i,k=c.length/4-2,j,l=4,m=[0,0,0,0];g=this.h[b];var n=g[0],o=g[1],p=g[2],q=g[3],r=g[4];for(j=0;j<k;j++){g=n[d>>>24]^o[e>>16&255]^p[f>>8&255]^q[a&255]^c[l];h=n[e>>>24]^o[f>>16&255]^p[a>>8&255]^q[d&255]^c[l+1];i=n[f>>>24]^o[a>>16&255]^p[d>>8&255]^q[e&255]^c[l+2];a=n[a>>>24]^o[d>>16&
 255]^p[e>>8&255]^q[f&255]^c[l+3];l+=4;d=g;e=h;f=i}for(j=0;j<4;j++){m[b?3&-j:j]=r[d>>>24]<<24^r[e>>16&255]<<16^r[f>>8&255]<<8^r[a&255]^c[l++];g=d;d=e;e=f;f=a;a=g}return m}};
-sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.P(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},concat:function(a,b){if(a.length===0||b.length===0)return a.concat(b);var c=a[a.length-1],d=sjcl.bitArray.getPartial(c);return d===32?a.concat(b):sjcl.bitArray.P(b,d,c|0,a.slice(0,a.length-1))},bitLength:function(a){var b=a.length;if(b===0)return 0;return(b-1)*32+sjcl.bitArray.getPartial(a[b-1])},clamp:function(a,b){if(a.length*32<b)return a;a=a.slice(0,Math.ceil(b/
-32));var c=a.length;b&=31;if(c>0&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d<a.length;d++)c|=a[d]^b[d];return c===0},P:function(a,b,c,d){var e;e=0;if(d===undefined)d=[];for(;b>=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a);
-for(e=0;e<a.length;e++){d.push(c|a[e]>>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},k:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}};
+sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.P(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},extract:function(a,b,c){var d=Math.floor(-b-c&31);return((b+c-1^b)&-32?a[b/32|0]<<32-d^a[b/32+1|0]>>>d:a[b/32|0]>>>d)&(1<<c)-1},concat:function(a,b){if(a.length===0||b.length===0)return a.concat(b);var c=a[a.length-1],d=sjcl.bitArray.getPartial(c);return d===32?a.concat(b):sjcl.bitArray.P(b,d,c|0,a.slice(0,a.length-1))},bitLength:function(a){var b=a.length;
+if(b===0)return 0;return(b-1)*32+sjcl.bitArray.getPartial(a[b-1])},clamp:function(a,b){if(a.length*32<b)return a;a=a.slice(0,Math.ceil(b/32));var c=a.length;b&=31;if(c>0&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d<a.length;d++)c|=
+a[d]^b[d];return c===0},P:function(a,b,c,d){var e;e=0;if(d===undefined)d=[];for(;b>=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a);for(e=0;e<a.length;e++){d.push(c|a[e]>>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},k:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}};
 sjcl.codec.utf8String={fromBits:function(a){var b="",c=sjcl.bitArray.bitLength(a),d,e;for(d=0;d<c/8;d++){if((d&3)===0)e=a[d/4];b+=String.fromCharCode(e>>>24);e<<=8}return decodeURIComponent(escape(b))},toBits:function(a){a=unescape(encodeURIComponent(a));var b=[],c,d=0;for(c=0;c<a.length;c++){d=d<<8|a.charCodeAt(c);if((c&3)===3){b.push(d);d=0}}c&3&&b.push(sjcl.bitArray.partial(8*(c&3),d));return b}};
 sjcl.codec.hex={fromBits:function(a){var b="",c;for(c=0;c<a.length;c++)b+=((a[c]|0)+0xf00000000000).toString(16).substr(4);return b.substr(0,sjcl.bitArray.bitLength(a)/4)},toBits:function(a){var b,c=[],d;a=a.replace(/\s|0x/g,"");d=a.length;a+="00000000";for(b=0;b<a.length;b+=8)c.push(parseInt(a.substr(b,8),16)^0);return sjcl.bitArray.clamp(c,d*4)}};
 sjcl.codec.base64={D:"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",fromBits:function(a,b){var c="",d,e=0,f=sjcl.codec.base64.D,g=0,h=sjcl.bitArray.bitLength(a);for(d=0;c.length*6<h;){c+=f.charAt((g^a[d]>>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.D,f=0,g;for(c=0;c<a.length;c++){g=e.indexOf(a.charAt(c));if(g<0)throw new sjcl.exception.invalid("this isn't base64!");
@@ -24,7 +24,7 @@ m).concat([0,0,0]));k=i(k,l);k=a.encrypt(i(k,i(j,g(j))));if(d.length)k=i(k,f?d:s
 0,0])}g=f(g,b);return a.encrypt(f(d(f(h,d(h))),g))},A:function(a){return[a[0]<<1^a[1]>>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.M=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.l=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b<d;b++){c[0][b]=a[b]^909522486;c[1][b]=a[b]^1549556828}this.l[0].update(c[0]);this.l[1].update(c[1])};
 sjcl.misc.hmac.prototype.encrypt=sjcl.misc.hmac.prototype.mac=function(a,b){a=(new this.M(this.l[0])).update(a,b).finalize();return(new this.M(this.l[1])).update(a).finalize()};
 sjcl.misc.pbkdf2=function(a,b,c,d,e){c=c||1E3;if(d<0||c<0)throw sjcl.exception.invalid("invalid params to pbkdf2");if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);e=e||sjcl.misc.hmac;a=new e(a);var f,g,h,i,k=[],j=sjcl.bitArray;for(i=1;32*k.length<(d||1);i++){e=f=a.encrypt(j.concat(b,[i]));for(g=1;g<c;g++){f=a.encrypt(f);for(h=0;h<f.length;h++)e[h]^=f[h]}k=k.concat(e)}if(d)k=j.clamp(k,d);return k};
-sjcl.random={randomWords:function(a,b){var c=[];b=this.isReady(b);var d;if(b===0)throw new sjcl.exception.notready("generator isn't seeded");else b&2&&this.U(!(b&1));for(b=0;b<a;b+=4){(b+1)%0x10000===0&&this.L();d=this.u();c.push(d[0],d[1],d[2],d[3])}this.L();return c.slice(0,a)},setDefaultParanoia:function(a){this.t=a},addEntropy:function(a,b,c){c=c||"user";var d,e,f=(new Date).valueOf(),g=this.q[c],h=this.isReady();d=this.F[c];if(d===undefined)d=this.F[c]=this.R++;if(g===undefined)g=this.q[c]=0;this.q[c]=
+sjcl.random={randomWords:function(a,b){var c=[];b=this.isReady(b);var d;if(b===0)throw new sjcl.exception.notReady("generator isn't seeded");else b&2&&this.U(!(b&1));for(b=0;b<a;b+=4){(b+1)%0x10000===0&&this.L();d=this.u();c.push(d[0],d[1],d[2],d[3])}this.L();return c.slice(0,a)},setDefaultParanoia:function(a){this.t=a},addEntropy:function(a,b,c){c=c||"user";var d,e,f=(new Date).valueOf(),g=this.q[c],h=this.isReady();d=this.F[c];if(d===undefined)d=this.F[c]=this.R++;if(g===undefined)g=this.q[c]=0;this.q[c]=
 (this.q[c]+1)%this.b.length;switch(typeof a){case "number":break;case "object":if(b===undefined)for(c=b=0;c<a.length;c++)for(e=a[c];e>0;){b++;e>>>=1}this.b[g].update([d,this.J++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.b[g].update([d,this.J++,3,b,f,a.length]);this.b[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.j[g]+=b;this.f+=b;if(h===0){this.isReady()!==0&&this.K("seeded",Math.max(this.g,
 this.f));this.K("progress",this.getProgress())}},isReady:function(a){a=this.B[a!==undefined?a:this.t];return this.g&&this.g>=a?this.j[0]>80&&(new Date).valueOf()>this.O?3:1:this.f>=a?2:0},getProgress:function(a){a=this.B[a?a:this.t];return this.g>=a?1["0"]:this.f>a?1["0"]:this.f/a},startCollectors:function(){if(!this.m){if(window.addEventListener){window.addEventListener("load",this.o,false);window.addEventListener("mousemove",this.p,false)}else if(document.attachEvent){document.attachEvent("onload",
 this.o);document.attachEvent("onmousemove",this.p)}else throw new sjcl.exception.bug("can't attach event");this.m=true}},stopCollectors:function(){if(this.m){if(window.removeEventListener){window.removeEventListener("load",this.o);window.removeEventListener("mousemove",this.p)}else if(window.detachEvent){window.detachEvent("onload",this.o);window.detachEvent("onmousemove",this.p)}this.m=false}},addEventListener:function(a,b){this.r[a][this.Q++]=b},removeEventListener:function(a,b){var c;a=this.r[a];

test/bn_test.js

@@ -0,0 +1,67 @@
+new sjcl.test.TestCase("Bignum modular reduction test", function (cb) {
+  if (!sjcl.bn) {
+    this.unimplemented();
+    cb && cb();
+    return;
+  }
+
+  var a, N, r;
+  for (i=0; i < sjcl.test.vector.bn_mod.length; i++) {
+    tv = sjcl.test.vector.bn_mod[i];
+    try {
+      a = new sjcl.bn(tv.a);
+      N = new sjcl.bn(tv.N);
+      r = a.mod(N);
+      this.require(r.equals(new sjcl.bn(tv.r)));
+    } catch(e) {
+      this.fail(e);
+    }
+  }
+  cb && cb();
+});
+
+new sjcl.test.TestCase("Bignum modular multiplication test", function (cb) {
+  if (!sjcl.bn) {
+    this.unimplemented();
+    cb && cb();
+    return;
+  }
+
+  var a, b, N, r;
+  for(var j=0;j<10;j++)for (i=0; i < sjcl.test.vector.bn_mulmod.length; i++) {
+      tv = sjcl.test.vector.bn_mulmod[i];
+    try {
+      a = new sjcl.bn(tv.a);
+      b = new sjcl.bn(tv.b);
+      N = new sjcl.bn(tv.N);
+      r = a.mulmod(b, N);
+      this.require(r.equals(new sjcl.bn(tv.r)));
+    } catch(e) {
+      this.fail(e);
+    }
+  }
+  cb && cb();
+});
+
+new sjcl.test.TestCase("Bignum modular exponentiation test", function (cb) {
+  if (!sjcl.bn) {
+    this.unimplemented();
+    cb && cb();
+    return;
+  }
+
+  var i, tv, g, x, N, v;
+  for (i=0; i < sjcl.test.vector.bn_powermod.length; i++) {
+    tv = sjcl.test.vector.bn_powermod[i];
+    try {
+      g = new sjcl.bn(tv.g);
+      x = new sjcl.bn(tv.x);
+      N = new sjcl.bn(tv.N);
+      v = g.powermod(x, N);
+      this.require(v.equals(new sjcl.bn(tv.v)));
+    } catch(e) {
+      this.fail(e);
+    }
+  }
+  cb && cb();
+});

test/bn_vectors.js

@@ -0,0 +1,85 @@
+// Verify with Mathematica:
+//   BaseForm[Mod[16^^a, 16^^N], 16]
+// should return "16^^r".
+sjcl.test.vector.bn_mod = [
+  {
+    a: "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",
+    N: "c3219b694b6a0541cfa60c46a0541cfa60c4c574bac9738edb0998bfa8f5b8076c5266ae06e1b9121303d7ff8f0380a2f51de2fdc93bba83b4c4f49e2D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D498254b6afa60c4835920541cfa60c4c4f49e2D3383B4813D692C855c8a7d64e9",
+    r: "3c3312d60b052287f92b61bc1e890a3f43f46f302086fc19d7555059f957607981f89d7\
+25b775c70c47e940a874e143efec01558c9cbe5f15df716d812c61cef1a2c6561ee999\
+0b5db8e54827a16018fee6c111c9a8e66897f849ccd9114639ab086f8ecfa558b58555\
+47b1eb110e245f51598bc98486af1813423877189e66a84cd7ead55"
+  }
+]
+
+// Verify with Mathematica:
+//   BaseForm[Mod[16^^a * 16^^b, 16^^N], 16]
+// should return "16^^r".
+sjcl.test.vector.bn_mulmod = [
+  {
+    a: "94B7555AABE9127CC58CCF4993DB6CF84D16C1244021612e464d6e2f4c724f2b3e275a43385a5a6d4c7441284648362a4526474d592a7d5e682b2358377d745c534f2d502427612249266a45382a6f512e527d475577484f277e7b3d28256d71482d2a287d666b52247027",
+    b: "70424648242f4273612a524e4a44717b655b487b395d2f407d4c7141503e33442a657637257968345237677d6e736f5f24546b642a23283e463b306547683070424a7c7a41302e30453c2f5f6f2c432a267d2d72746c534d6c233c5c6740776e5c4725562029623d7a673d",
+    N: "EEAF0AB9ADB38D8775FF3C0B9EA27496EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B297BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9AFD5138FE8376435B9FC61D2FC0EB06E3",
+    r: "266bd21de6da4ce62c7919c0b34b9f125124c574bac9738edb0998bfa8f5b8076c5266ae06e1b9121303d7ff8f0380a2f51de2fdc93bba83b4c4f49e2ddc65c24a8e2ecbac374e49181792aeeada8fc5438073187b2cf3d63f93d560144ced0a078454a727d24db5d09e56"
+  }
+]
+
+sjcl.test.vector.bn_powermod = [
+  {
+    g: 2,
+    x: 3,
+    N: 3,
+    v: 2
+  },
+  {
+    g: 2,
+    x: "10000000000000000000000000",
+    N: 1337,
+    v: 1206
+  },
+  {
+    g: 17,
+    x: 90,
+    N: 34717861147,
+    v: 28445204336
+  },
+  {
+    g: 2,
+    x: "0x844A000000000000000000000",
+    N: 13,
+    v: 9
+  },
+  {
+    g: 2,
+    x: 0x1010,
+    N: 131,
+    v: 59
+  },
+  {
+    g: 2,
+    x: "43207437777777877617151",
+    N: 13,
+    v: 2
+  },
+  {
+    g: 2,
+    x: "389274238947216444871600001871964319565192765874149",
+    N: 117,
+    v: 44
+  },
+  {
+    g: 2,
+    x: "89457115510016156219817846189181057618965150496979174671534084187",
+    N: "1897166415676096761",
+    v: "16840615e646a4c5c8d"
+  }//,
+  // // This was disabled because it's slow (~2.5s with `rhino -O 9`). Once
+  // // a better powermod algorithm is implemented (e.g., using Montgomery
+  // // reduction), this can be re-enabled.
+  // {
+  //   g: 2,
+  //   x: "eeaf0ab9adb3008dd6c314c9c25600057674df692c0006e0d5d8e2050b98be48e4",
+  //   N: "b48130d6e07674df740e1d33b4816e0d5d8e20e2050b98be48e457674df74096ea",
+  //   v: "9c3219b694befb9caac51a13eb1ac7053b02c654b6a0541cfa60c483592d478630"
+  // }
+]

test/run_tests_browser.js

@@ -11,9 +11,15 @@ function testCore(coreName, cb) {
     "sha256_test.js",
     "sha256_vectors.js",
     "sha256_test_brute_force.js",
+    "sha1_test.js",
+    "sha1_vectors.js",
     "hmac_test.js",
     "hmac_vectors.js",
-    "pbkdf2_test.js"
+    "pbkdf2_test.js",
+    "bn_test.js",
+    "bn_vectors.js",
+    "srp_test.js",
+    "srp_vectors.js"
   ], i;
   
   for (i=1; i<testFiles.length; i++) {

test/sha1_test.js

@@ -0,0 +1,14 @@
+new sjcl.test.TestCase("SHA-1 from sha1sum", function (cb) {
+  if (!sjcl.hash.sha1) {
+    this.unimplemented();
+    cb && cb();
+    return;
+  }
+  
+  var i, kat=sjcl.test.vector.sha1, p=0, f=0;
+  for (i=0; i<kat.length; i++) {
+    var out = sjcl.hash.sha1.hash(kat[i][0]);
+    this.require(sjcl.codec.hex.fromBits(out) == kat[i][1], i);
+  }
+  cb && cb();
+});

test/sha1_vectors.js

@@ -0,0 +1,516 @@
+sjcl.test.vector.sha1 =
+[
+["", "da39a3ee5e6b4b0d3255bfef95601890afd80709"],
+["J", "58668e7669fd564d99db5d581fcdb6a5618440b5"],
+["UQ", "444969c706257a2bf8d05d51a832d4cd4276dbe8"],
+["3zu", "829e1747756828168eb85a043eef9d82211ae84d"],
+["SQ34", "53e66d0fac631bd47b6fe74fe4ae25307025595d"],
+["ksUOe", "a893efdf924553a20059a53d4b94746674c2734a"],
+["cVcjJ4", "f20f66f1c9fdb6caeace34e8d266896404f20a2f"],
+["8F5FQOy", "7bbaab737b39e10e80b04a86e5f50172bcff606f"],
+["4f3uqBTp", "f6f882d4b5d4107fba7a0f27507f2fd8283c75f0"],
+["nTLqNR3tW", "4b98fc5cab631b5ce066ce3ca938160e65879f44"],
+["vdAYhVtVCk", "49569862e42d5ca8e8a4dfdaa01e4d97ab3a8756"],
+["6xLa68T63Lg", "c09df7696d02fab256f6990be5dbea0b9efa26a3"],
+["AtJ52sRObhuH", "80e0fb490a412c67c5d5d7a1950a82f76a0ffb49"],
+["xo76bPHp1YbRF", "342eefc2af8bcc521df82007ab7b49d57bc4a9d5"],
+["ThjICeYgAzhp35", "f2a42f46d51ed89a372b15ebf0809c7aa9f4140e"],
+["CZ6Cd9EHVx3q3wr", "eb7085603f92a2e85881c393ce4428db9a8ab5ff"],
+["wqvsNpKZejVnWykY", "e934d1e9b776ab6508878e1314fff34feaeec9e6"],
+["2ZqtefXHaWRlvkeIE", "549feccc808b35df2f388c77b28152d3eef923e7"],
+["7MPoGOIDWwOIylUtxg", "0b804cd611eef34b4c0a12f3646143cb6ea48d62"],
+["caeiSnfg6TP2xlHUfv9", "791a2f30e11378b1912df6e56c9a66b07e39d86f"],
+["BYNTDmjX75AEbBs3orIp", "a30215d8eedf11dac15c6f0ffb4dddc2c2b92d68"],
+["UFQ38EFPHeO2zwScsgWfM", "f6afecd7318ce5ddf099fc6c23652032162c5d5b"],
+["MWmlT2rczB3ENCpuuPTmcN", "1a6ebb43b8390f3d85806cebe4798d6a3f4b2731"],
+["sQrs8KCz8r9o9kggoaUdQkY", "f85c31c987683dea2f235ce2976fe2f4eb480112"],
+["pyMq5mdbgnqjfpzXaY2Txn6J", "936404d4a358fbe3fcefd065f56633c623a6d3bf"],
+["yaaZQ4VuPHRVOz2TlJv8fWAAb", "29a2bc2c864cb342606d12d1d4af2d0fc05fcf6c"],
+["dm3rzSKLRcKLnTrOXZt3CrsCqW", "77a88de4df21156bb79360889afc5bebb4285d3e"],
+["ioJPx6onAVydcuEub5mCPQ274NC", "887b6bf81bed1f8d62c2e5cc0682e192ea1e60f7"],
+["NeUenr9nNDZUTXLrcEf9yfYxYL4F", "486ee4f6a5a82220c100f98630988feb7be2a297"],
+["cOhrhsfVAzmTc5VArk2DQ4GYB56NR", "a9f019e136c108699f59a0f39f58b6faed99eb09"],
+["gzuPlpOEP08TzXKnxinF6Ub5X3SLQl", "439ae05bcd2aae48a6b8afe203faf4bd8c670015"],
+["dYPVcmbC42y70nwf6ZiNlmfaSfwfyuN", "de91979d1839f1fbd2e0d65996a17456bc32f3d0"],
+["XzJS9vxH4QXUv6UQ55mmQlF4fFPzakYe", "67e74995bd1bb626169c19b3976d3aa4af34299d"],
+["pWcLJAkOzbQpxdSGYfrvGoEOdycICsthz", "3e32f8c8bc8b30bc1ecf274dc77978fec5d7704a"],
+["ZHB7HdgGcl6iHofklYfhIbHYBwZ22xYGBh", "82e8e005ac3841dcc0dee5b34ebf8b89445a7cc9"],
+["J2dMOnxXS7fVcmJKsky5Lgr5q6wPLm3Qg3s", "7d4fa2234b9a4aef2d995859b4698fe0e42290bf"],
+["qFBsvjqP65WkL6ohYiA287QKZzlq8qpcHc4B", "ffe96a41a79adae3a360da6a4ddf30b8af906a3c"],
+["drWlXFxFDJrMyRVaTmwrjmzS8dIoMcXTiJwZJ", "1ebfd19e0010f1dd3437e8d2b02ce5154dd6eaf0"],
+["ZLnGOs1gybrU3EuC6tzMlV5yW9KpDCPakCk9kZ", "051a2b0042ddf10fc2e04d96d0184bc469647807"],
+["GO6Zyv6H7wdO7TehklJLHiQMZgPj0C32yJmPW2Y", "0048e917e76a0b4d33ebb77dbf3c0a2d4818eafe"],
+["RItYK7e5V3L4EiwnV1RVYqV2IKMf0N3KBF4QoSLz", "bf7b47456be9f5262496e16413da829e905e58d3"],
+["MDc9jES5NtO8HoOJPKhQMvLZt7jGGYVkq5O6jCJlM", "f307df865a4e167b71bd42657aafd91d3f0b3da8"],
+["zuLhkhDeAPaNQufRwfV3An7tks1rmP1YVXEJpsKifu", "6f6e798c1f62097158bdba548751795ed7e8200e"],
+["MMaiONEGNXzGSZ2x0enSKDkIWWJgDGFIMdIJflezWXr", "c3a072cd1b49dfbc607373d423218c26c3b79f5b"],
+["C2iQHRkM3bjIo6couJkKWSxsESPHJIY1A5SXxpiOAW4S", "450588220385f9445340da84ac09b736e9018e96"],
+["KOz0cqCqft1bDrP7gRN8NNqYWpoRrYqmWUmqW8gb0dy6u", "613e2f6695d2c69755af481fef65333e14e0d739"],
+["RRdTl3CRwHRdhbM5TfCimrmfkqyMnx9xPK8GiM1O30rlam", "2a9704a3c7151057f0987c9b1d5c694286e2248e"],
+["MzyGsM0RvZb4P2ApqBJ3kZhRtVFKhnGAX9mAmm00SkH1UHz", "01da94950a6b8f6dd08983019c78d71974dd64eb"],
+["pEf68rtAr8Swhhv0dHdIhE8QjaECiDmUZjyipgx3gpsLeFMc", "826742cc9eff41a89994bdb24656ee3e97aa4d2a"],
+["x1EYSPRpyNYT7wHEZrOvqWMH9VwG0lNC9cYsGivYP2u1Ocxp3", "9fd88783f75e5b03320d887c464cad66a38d4982"],
+["V9AHezfET8FmSfCClEkRzrQXo8kswDO7xVkySUvidKMzlmXR2E", "d61cd9013c1563347d508c26e0491fd42367e3dc"],
+["vEdDMorZPqIj0qen3qVWCN0mFOtGbTEsSk8YcgJzeNJdApmYgKl", "7ed3a79fb3bb5f805dd5ac18aacf60fc407a6828"],
+["o6HLlpczHiDbFk4jnKfGMxcYFqyTzEYihHgz1e0Vh7Kh3wdQfG3d", "84f249e8064a3bd4afd1c95175c004565f6c7eb9"],
+["kkVEWU95a4SdsCE9RSLxQndqNnbXFquFUEqimVKoMtcTPq8KoX90b", "f28438a83adcbe196c723b34918c090e9b4af139"],
+["BVC3FCaQhkBHSTM3oKiSPDI28vHb7RNiTgHVFNuEYOV1HxQpKVAfsT", "8c43e3fe6452c0120251dcb930239f6614ffed6a"],
+["QakkZuFqRmZ7MLolg3xAT47SmGC019azBbwi9ae0g6SzeCe8PLVhLHw", "8fd46800b7f52a92ea8f7ff8dda2608ce56d6917"],
+["QOk9AYlxaoyR4c3yL7771JBpz3ySmUZ5tAXTfweUaUSEBKAH0WYBSkiQ", "f0bc372044ec382c7f92fc8e37a36215e94a9fb0"],
+["oGvYdKhaeBWhJSK4rAe7fTqPLg4BRavFjHdoXSa6zHciY7W7QDd0G7YE0", "bc9af5850115bda555d1ce475bec072059da2b12"],
+["mXUAbYRfc2KHvbRwbUsYrHuyvIu4GbY9ltzsiopsyMifsRdpDNF8E8Rn6V", "56a4007eb4590bfacb2ddeddfc6d7aaa84c6e8d9"],
+["JVU6xxbzCITqNIdaLbYpWTCnwWih4JmdGRGjUpVLdpGtgUv35OD98tOUp2t", "6f86ee753e2100ad0d31d12d6a7a0c3718ee8127"],
+["7afCnFD8iVing9aEm0quIsKHj6oLuEFe8rPX3UemkQTrKGIQtSOhDjK75Z7Y", "e212f49fb37fbaea61ef6cb5262e5d7b27f9114b"],
+["sZYPgl5v9xA7Ss2aGvAzPjRUACf7Xsav1Xz02nesFCyMHoxj6AEEAz0hSkuOV", "77cacc7d23c367b99a33a0b9eff0303656b45d17"],
+["oKG8teNc6pIHBgKJSaUxIfDYx5u4ASkr6EZWVYT9vinrtKqtHOc6Il02yXRP9m", "154c4aedf0d970c75a43f3e32277b224479b612f"],
+["sCi5AErDIFl0S2T9WSD79q8VnXiIUw3yHAcvcSY8OrGq2DgWNsi8e40xcRPAMjB", "ffab4e1ab28afd88c06ffdf3aab02dde57183053"],
+["6QDrouBKlCka0c6qyaC4sAQ5IB5G8VqKanzVRt5SgizsxG1FWT9l1wQcgezlFmox", "11f3b24c06bdffbf8f6191e13d2b664d2de4417d"],
+["KtFXyEFbqTLv4MmPkeN4E4Svzo6HKa6RTVlCbp3Zh7xy66HDTy4mshnic3cbudir3", "fea956c2fef48200e9b746ab4fa0ee8f91adc797"],
+["dYeOMOomECPKx9mp6d4ZJ2yc0UBe3zxoES1t4HtqH1rj1rqZW19FiIumREobdH6Yej", "7be65668773a256c5939787d0d3c6b52a8af5bd8"],
+["WTaoKpjViC21JJchxyeC495kAbLmH3rcA1Bk0ZLzjp8DWdRtz9s6vfttuKJRb8vEl9x", "b74a916bddd9af80731b238239e137a4fd7e19ce"],
+["MwqaqyaKZAAt1siU2BYnmzNwuLDZ4VmPh9f08rLkE14rI51NYrDCohw5GmlvpLNhT04L", "fc3eab13a1a2ec9c2de1d086c6b6889b889ef2cd"],
+["AsKDR3ofT32vlLSgeOWqp18wy7tEKqOMxprgyq4zctp5jw5njxftt1hbccLLS9VwqEoue", "6291bda7aba0e91291b428ffdd61b68b87427910"],
+["JgFbA0zEKoPPGMCm3NoAq5F5MfjL5TArvJyZJls8FBpKhBfQEvrNtvV9aQe7dyGNHjhMSY", "9241682aaa3f2b0581522f067fd07fe81989b0f1"],
+["vRTCjpaOUSbfk2SY5bwWRmQXz8V3dvCLRdfODFnsSmCfs09PfJGeX1Qu7VwBDlK77ZZES7p", "90e1628aeb8af46fd9a2b752b050aa414deba604"],
+["ROqEDrxbWOySlbeCWtqzmGht4u8eSDE8K8jHBEwV9hqCzC1FSIpPJI9yX22miBQSM2xfBoLZ", "b770899d727e07b5580ca70120a08109e9b3067a"],
+["yDPykDWkQTu8SJwC7w36vfYo0ro0YxU18kzaRvFnZ35SRwufCrJIZ2xRrfAQeFXDfwkamfWyY", "b18375dbd09dd51342e15e20d9d4f9f7c302435f"],
+["7rrZYexc5WNXwKQwW8C7WzuRmHQNaEzWBBsQ3fHFXzOG5zr0TkjPiirITXXtum235hzVEWHuZc", "ba4c5c8c4714a4d72aff20b36fd5935646196368"],
+["VfNa4JYk4zouXjnypeYoAWiVLiyAfVtIWhHwuKyUv6NuDfHpAiG4cq7Gy0nHGPM3MnpKBl1RMhB", "29eb36ae8c10a45706aa8d56b156f35944c5ec29"],
+["pXmgb7MdD54Azj58D1tZAbJwx4siIOqkXWFOuxTTcT2ChCQPnRXbu1p9sgt7gSLbJIfi8HSEEWVZ", "68bfb445a8de5a7b10ac522b54b85bf98bf4852a"],
+["Ko9zk5idDGucb7HbqF486d8nWfjORflsrT5ql7ZV8SXlxGzVK1qHKX32vLspJUfKwIBvYkGowmAo6", "27c7d6800922ebcd9eb0eaa0170ae6d92b220ab1"],
+["NYRuK8zLcOnR6UAIYQ04MrXDVCChg9uZ9tuG5bUXjayN3oyjU4ZBu9yh6QsZq9S7HZUkMkZRCrMfww", "bf4d767b31e5e0cc0eafdb71752ab4bd62f65692"],
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+["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", "8ef36168eff1fb7e36d901a641a292996434b86e"],
+["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", "195832e2ec3b974f430c1935a1aff186b4b16674"],
+["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", "ee50f02514591575d9a52cdd19c83f0c12533f12"],
+["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", "4bc3e61536b957ebefc94179037be8ee74f4bb20"],
+["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", "1878d627b1004a99dc4a215307c004f7d3c6e1ca"]
+];

test/srp_test.js

@@ -0,0 +1,21 @@
+new sjcl.test.TestCase("SRP known-answer (RFC 5054) tests", function (cb) {
+  if (!sjcl.keyexchange.srp) {
+    this.unimplemented();
+    cb && cb();
+    return;
+  }
+
+  var i, kat = sjcl.test.vector.srp, tv, group, v, x;
+
+  for (i=0; i<kat.length; i++) {
+    tv = kat[i];
+    group = sjcl.keyexchange.srp.knownGroup(tv.known_group_size);
+    tv.s = sjcl.codec.hex.toBits(tv.s);
+    x = sjcl.keyexchange.srp.makeX(tv.I, tv.P, tv.s);
+    this.require(sjcl.codec.hex.fromBits(x).toUpperCase() === tv.x, "srpx #"+i);
+
+    v = sjcl.keyexchange.srp.makeVerifier(tv.I, tv.P, tv.s, group);
+    this.require(v.equals(new sjcl.bn(tv.v)), "srpv #"+i);
+  }
+  cb && cb();
+});

test/srp_vectors.js

@@ -0,0 +1,11 @@
+/* Official SRP test vectors. */
+sjcl.test.vector.srp = [
+{
+  I: "alice",
+  P: "password123",
+  s: "BEB25379D1A8581EB5A727673A2441EE",
+  x: "94B7555AABE9127CC58CCF4993DB6CF84D16C124",
+  v: "7E273DE8696FFC4F4E337D05B4B375BEB0DDE1569E8FA00A9886D8129BADA1F1822223CA1A605B530E379BA4729FDC59F105B4787E5186F5C671085A1447B52A48CF1970B4FB6F8400BBF4CEBFBB168152E08AB5EA53D15C1AFF87B2B9DA6E04E058AD51CC72BFC9033B564E26480D78E955A5E29E7AB245DB2BE315E2099AFB",
+  known_group_size: 1024
+}
+]