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/mont.js (4581B)

'use strict';

var BN = require('bn.js');
var inherits = require('inherits');
var Base = require('./base');

var utils = require('../utils');

function MontCurve(conf) {
  Base.call(this, 'mont', conf);

this.a = new BN(conf.a, 16).toRed(this.red);
  this.b = new BN(conf.b, 16).toRed(this.red);
  this.i4 = new BN(4).toRed(this.red).redInvm();
  this.two = new BN(2).toRed(this.red);
  this.a24 = this.i4.redMul(this.a.redAdd(this.two));
}
inherits(MontCurve, Base);
module.exports = MontCurve;

MontCurve.prototype.validate = function validate(point) {
  var x = point.normalize().x;
  var x2 = x.redSqr();
  var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x);
  var y = rhs.redSqrt();

return y.redSqr().cmp(rhs) === 0;
};

MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) {
  return this.point(utils.toArray(bytes, enc), 1);
};

MontCurve.prototype.point = function point(x, z) {
  return new Point(this, x, z);
};

MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) {
  return Point.fromJSON(this, obj);
};

Point.prototype.precompute = function precompute() {
  // No-op
};

Point.prototype._encode = function _encode() {
  return this.getX().toArray('be', this.curve.p.byteLength());
};

Point.fromJSON = function fromJSON(curve, obj) {
  return new Point(curve, obj[0], obj[1] || curve.one);
};

Point.prototype.inspect = function inspect() {
  if (this.isInfinity())
    return '<EC Point Infinity>';
  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +
      ' z: ' + this.z.fromRed().toString(16, 2) + '>';
};

Point.prototype.isInfinity = function isInfinity() {
  // XXX This code assumes that zero is always zero in red
  return this.z.cmpn(0) === 0;
};

Point.prototype.dbl = function dbl() {
  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3
  // 2M + 2S + 4A

// A = X1 + Z1
  var a = this.x.redAdd(this.z);
  // AA = A^2
  var aa = a.redSqr();
  // B = X1 - Z1
  var b = this.x.redSub(this.z);
  // BB = B^2
  var bb = b.redSqr();
  // C = AA - BB
  var c = aa.redSub(bb);
  // X3 = AA * BB
  var nx = aa.redMul(bb);
  // Z3 = C * (BB + A24 * C)
  var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c)));
  return this.curve.point(nx, nz);
};

Point.prototype.add = function add() {
  throw new Error('Not supported on Montgomery curve');
};

Point.prototype.diffAdd = function diffAdd(p, diff) {
  // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3
  // 4M + 2S + 6A

// A = X2 + Z2
  var a = this.x.redAdd(this.z);
  // B = X2 - Z2
  var b = this.x.redSub(this.z);
  // C = X3 + Z3
  var c = p.x.redAdd(p.z);
  // D = X3 - Z3
  var d = p.x.redSub(p.z);
  // DA = D * A
  var da = d.redMul(a);
  // CB = C * B
  var cb = c.redMul(b);
  // X5 = Z1 * (DA + CB)^2
  var nx = diff.z.redMul(da.redAdd(cb).redSqr());
  // Z5 = X1 * (DA - CB)^2
  var nz = diff.x.redMul(da.redISub(cb).redSqr());
  return this.curve.point(nx, nz);
};

Point.prototype.mul = function mul(k) {
  var t = k.clone();
  var a = this; // (N / 2) * Q + Q
  var b = this.curve.point(null, null); // (N / 2) * Q
  var c = this; // Q

for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1))
    bits.push(t.andln(1));

for (var i = bits.length - 1; i >= 0; i--) {
    if (bits[i] === 0) {
      // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q
      a = a.diffAdd(b, c);
      // N * Q = 2 * ((N / 2) * Q + Q))
      b = b.dbl();
    } else {
      // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q)
      b = a.diffAdd(b, c);
      // N * Q + Q = 2 * ((N / 2) * Q + Q)
      a = a.dbl();
    }
  }
  return b;
};

Point.prototype.mulAdd = function mulAdd() {
  throw new Error('Not supported on Montgomery curve');
};

Point.prototype.jumlAdd = function jumlAdd() {
  throw new Error('Not supported on Montgomery curve');
};

Point.prototype.eq = function eq(other) {
  return this.getX().cmp(other.getX()) === 0;
};

Point.prototype.normalize = function normalize() {
  this.x = this.x.redMul(this.z.redInvm());
  this.z = this.curve.one;
  return this;
};

Point.prototype.getX = function getX() {
  // Normalize coordinates
  this.normalize();

return this.x.fromRed();
};

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