FM / curve

/var/www/flurhymez/node_modules/elliptic/lib/elliptic/curve/

/var/www/flurhymez/node_modules/elliptic/lib/elliptic/curve

Name	Size	Mode	Actions
base.js	9202	0644	edit dl rm
edwards.js	10908	0644	edit dl rm
index.js	173	0644	edit dl rm
mont.js	4581	0644	edit dl rm
short.js	22969	0644	edit dl rm

Edit: /var/www/flurhymez/node_modules/elliptic/lib/elliptic/curve/base.js (9202B)

'use strict';

var BN = require('bn.js');
var utils = require('../utils');
var getNAF = utils.getNAF;
var getJSF = utils.getJSF;
var assert = utils.assert;

function BaseCurve(type, conf) {
  this.type = type;
  this.p = new BN(conf.p, 16);

// Use Montgomery, when there is no fast reduction for the prime
  this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p);

// Useful for many curves
  this.zero = new BN(0).toRed(this.red);
  this.one = new BN(1).toRed(this.red);
  this.two = new BN(2).toRed(this.red);

// Curve configuration, optional
  this.n = conf.n && new BN(conf.n, 16);
  this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed);

// Temporary arrays
  this._wnafT1 = new Array(4);
  this._wnafT2 = new Array(4);
  this._wnafT3 = new Array(4);
  this._wnafT4 = new Array(4);

this._bitLength = this.n ? this.n.bitLength() : 0;

// Generalized Greg Maxwell's trick
  var adjustCount = this.n && this.p.div(this.n);
  if (!adjustCount || adjustCount.cmpn(100) > 0) {
    this.redN = null;
  } else {
    this._maxwellTrick = true;
    this.redN = this.n.toRed(this.red);
  }
}
module.exports = BaseCurve;

BaseCurve.prototype.point = function point() {
  throw new Error('Not implemented');
};

BaseCurve.prototype.validate = function validate() {
  throw new Error('Not implemented');
};

BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) {
  assert(p.precomputed);
  var doubles = p._getDoubles();

var naf = getNAF(k, 1, this._bitLength);
  var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1);
  I /= 3;

// Translate into more windowed form
  var repr = [];
  var j;
  var nafW;
  for (j = 0; j < naf.length; j += doubles.step) {
    nafW = 0;
    for (var l = j + doubles.step - 1; l >= j; l--)
      nafW = (nafW << 1) + naf[l];
    repr.push(nafW);
  }

var a = this.jpoint(null, null, null);
  var b = this.jpoint(null, null, null);
  for (var i = I; i > 0; i--) {
    for (j = 0; j < repr.length; j++) {
      nafW = repr[j];
      if (nafW === i)
        b = b.mixedAdd(doubles.points[j]);
      else if (nafW === -i)
        b = b.mixedAdd(doubles.points[j].neg());
    }
    a = a.add(b);
  }
  return a.toP();
};

BaseCurve.prototype._wnafMul = function _wnafMul(p, k) {
  var w = 4;

// Precompute window
  var nafPoints = p._getNAFPoints(w);
  w = nafPoints.wnd;
  var wnd = nafPoints.points;

// Get NAF form
  var naf = getNAF(k, w, this._bitLength);

// Add `this`*(N+1) for every w-NAF index
  var acc = this.jpoint(null, null, null);
  for (var i = naf.length - 1; i >= 0; i--) {
    // Count zeroes
    for (var l = 0; i >= 0 && naf[i] === 0; i--)
      l++;
    if (i >= 0)
      l++;
    acc = acc.dblp(l);

if (i < 0)
      break;
    var z = naf[i];
    assert(z !== 0);
    if (p.type === 'affine') {
      // J +- P
      if (z > 0)
        acc = acc.mixedAdd(wnd[(z - 1) >> 1]);
      else
        acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg());
    } else {
      // J +- J
      if (z > 0)
        acc = acc.add(wnd[(z - 1) >> 1]);
      else
        acc = acc.add(wnd[(-z - 1) >> 1].neg());
    }
  }
  return p.type === 'affine' ? acc.toP() : acc;
};

BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW,
  points,
  coeffs,
  len,
  jacobianResult) {
  var wndWidth = this._wnafT1;
  var wnd = this._wnafT2;
  var naf = this._wnafT3;

// Fill all arrays
  var max = 0;
  var i;
  var j;
  var p;
  for (i = 0; i < len; i++) {
    p = points[i];
    var nafPoints = p._getNAFPoints(defW);
    wndWidth[i] = nafPoints.wnd;
    wnd[i] = nafPoints.points;
  }

// Comb small window NAFs
  for (i = len - 1; i >= 1; i -= 2) {
    var a = i - 1;
    var b = i;
    if (wndWidth[a] !== 1 || wndWidth[b] !== 1) {
      naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength);
      naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength);
      max = Math.max(naf[a].length, max);
      max = Math.max(naf[b].length, max);
      continue;
    }

var comb = [
      points[a], /* 1 */
      null, /* 3 */
      null, /* 5 */
      points[b], /* 7 */
    ];

// Try to avoid Projective points, if possible
    if (points[a].y.cmp(points[b].y) === 0) {
      comb[1] = points[a].add(points[b]);
      comb[2] = points[a].toJ().mixedAdd(points[b].neg());
    } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) {
      comb[1] = points[a].toJ().mixedAdd(points[b]);
      comb[2] = points[a].add(points[b].neg());
    } else {
      comb[1] = points[a].toJ().mixedAdd(points[b]);
      comb[2] = points[a].toJ().mixedAdd(points[b].neg());
    }

var index = [
      -3, /* -1 -1 */
      -1, /* -1 0 */
      -5, /* -1 1 */
      -7, /* 0 -1 */
      0, /* 0 0 */
      7, /* 0 1 */
      5, /* 1 -1 */
      1, /* 1 0 */
      3,  /* 1 1 */
    ];

var jsf = getJSF(coeffs[a], coeffs[b]);
    max = Math.max(jsf[0].length, max);
    naf[a] = new Array(max);
    naf[b] = new Array(max);
    for (j = 0; j < max; j++) {
      var ja = jsf[0][j] | 0;
      var jb = jsf[1][j] | 0;

naf[a][j] = index[(ja + 1) * 3 + (jb + 1)];
      naf[b][j] = 0;
      wnd[a] = comb;
    }
  }

var acc = this.jpoint(null, null, null);
  var tmp = this._wnafT4;
  for (i = max; i >= 0; i--) {
    var k = 0;

while (i >= 0) {
      var zero = true;
      for (j = 0; j < len; j++) {
        tmp[j] = naf[j][i] | 0;
        if (tmp[j] !== 0)
          zero = false;
      }
      if (!zero)
        break;
      k++;
      i--;
    }
    if (i >= 0)
      k++;
    acc = acc.dblp(k);
    if (i < 0)
      break;

for (j = 0; j < len; j++) {
      var z = tmp[j];
      p;
      if (z === 0)
        continue;
      else if (z > 0)
        p = wnd[j][(z - 1) >> 1];
      else if (z < 0)
        p = wnd[j][(-z - 1) >> 1].neg();

if (p.type === 'affine')
        acc = acc.mixedAdd(p);
      else
        acc = acc.add(p);
    }
  }
  // Zeroify references
  for (i = 0; i < len; i++)
    wnd[i] = null;

if (jacobianResult)
    return acc;
  else
    return acc.toP();
};

function BasePoint(curve, type) {
  this.curve = curve;
  this.type = type;
  this.precomputed = null;
}
BaseCurve.BasePoint = BasePoint;

BasePoint.prototype.eq = function eq(/*other*/) {
  throw new Error('Not implemented');
};

BasePoint.prototype.validate = function validate() {
  return this.curve.validate(this);
};

BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
  bytes = utils.toArray(bytes, enc);

var len = this.p.byteLength();

// uncompressed, hybrid-odd, hybrid-even
  if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) &&
      bytes.length - 1 === 2 * len) {
    if (bytes[0] === 0x06)
      assert(bytes[bytes.length - 1] % 2 === 0);
    else if (bytes[0] === 0x07)
      assert(bytes[bytes.length - 1] % 2 === 1);

var res =  this.point(bytes.slice(1, 1 + len),
      bytes.slice(1 + len, 1 + 2 * len));

return res;
  } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) &&
              bytes.length - 1 === len) {
    return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03);
  }
  throw new Error('Unknown point format');
};

BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) {
  return this.encode(enc, true);
};

BasePoint.prototype._encode = function _encode(compact) {
  var len = this.curve.p.byteLength();
  var x = this.getX().toArray('be', len);

if (compact)
    return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x);

return [ 0x04 ].concat(x, this.getY().toArray('be', len));
};

BasePoint.prototype.encode = function encode(enc, compact) {
  return utils.encode(this._encode(compact), enc);
};

BasePoint.prototype.precompute = function precompute(power) {
  if (this.precomputed)
    return this;

var precomputed = {
    doubles: null,
    naf: null,
    beta: null,
  };
  precomputed.naf = this._getNAFPoints(8);
  precomputed.doubles = this._getDoubles(4, power);
  precomputed.beta = this._getBeta();
  this.precomputed = precomputed;

return this;
};

BasePoint.prototype._hasDoubles = function _hasDoubles(k) {
  if (!this.precomputed)
    return false;

var doubles = this.precomputed.doubles;
  if (!doubles)
    return false;

return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step);
};

BasePoint.prototype._getDoubles = function _getDoubles(step, power) {
  if (this.precomputed && this.precomputed.doubles)
    return this.precomputed.doubles;

var doubles = [ this ];
  var acc = this;
  for (var i = 0; i < power; i += step) {
    for (var j = 0; j < step; j++)
      acc = acc.dbl();
    doubles.push(acc);
  }
  return {
    step: step,
    points: doubles,
  };
};

BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) {
  if (this.precomputed && this.precomputed.naf)
    return this.precomputed.naf;

var res = [ this ];
  var max = (1 << wnd) - 1;
  var dbl = max === 1 ? null : this.dbl();
  for (var i = 1; i < max; i++)
    res[i] = res[i - 1].add(dbl);
  return {
    wnd: wnd,
    points: res,
  };
};

BasePoint.prototype._getBeta = function _getBeta() {
  return null;
};

BasePoint.prototype.dblp = function dblp(k) {
  var r = this;
  for (var i = 0; i < k; i++)
    r = r.dbl();
  return r;
};

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