{"ast":null,"code":"'use strict';\n\nvar utils = require('../utils');\n\nvar BN = require('bn.js');\n\nvar inherits = require('inherits');\n\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction EdwardsCurve(conf) {\n  // NOTE: Important as we are creating point in Base.call()\n  this.twisted = (conf.a | 0) !== 1;\n  this.mOneA = this.twisted && (conf.a | 0) === -1;\n  this.extended = this.mOneA;\n  Base.call(this, 'edwards', conf);\n  this.a = new BN(conf.a, 16).umod(this.red.m);\n  this.a = this.a.toRed(this.red);\n  this.c = new BN(conf.c, 16).toRed(this.red);\n  this.c2 = this.c.redSqr();\n  this.d = new BN(conf.d, 16).toRed(this.red);\n  this.dd = this.d.redAdd(this.d);\n  assert(!this.twisted || this.c.fromRed().cmpn(1) === 0);\n  this.oneC = (conf.c | 0) === 1;\n}\n\ninherits(EdwardsCurve, Base);\nmodule.exports = EdwardsCurve;\n\nEdwardsCurve.prototype._mulA = function _mulA(num) {\n  if (this.mOneA) return num.redNeg();else return this.a.redMul(num);\n};\n\nEdwardsCurve.prototype._mulC = function _mulC(num) {\n  if (this.oneC) return num;else return this.c.redMul(num);\n}; // Just for compatibility with Short curve\n\n\nEdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {\n  return this.point(x, y, z, t);\n};\n\nEdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {\n  x = new BN(x, 16);\n  if (!x.red) x = x.toRed(this.red);\n  var x2 = x.redSqr();\n  var rhs = this.c2.redSub(this.a.redMul(x2));\n  var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));\n  var y2 = rhs.redMul(lhs.redInvm());\n  var y = y2.redSqrt();\n  if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) throw new Error('invalid point');\n  var isOdd = y.fromRed().isOdd();\n  if (odd && !isOdd || !odd && isOdd) y = y.redNeg();\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {\n  y = new BN(y, 16);\n  if (!y.red) y = y.toRed(this.red); // x^2 = (y^2 - c^2) / (c^2 d y^2 - a)\n\n  var y2 = y.redSqr();\n  var lhs = y2.redSub(this.c2);\n  var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a);\n  var x2 = lhs.redMul(rhs.redInvm());\n\n  if (x2.cmp(this.zero) === 0) {\n    if (odd) throw new Error('invalid point');else return this.point(this.zero, y);\n  }\n\n  var x = x2.redSqrt();\n  if (x.redSqr().redSub(x2).cmp(this.zero) !== 0) throw new Error('invalid point');\n  if (x.fromRed().isOdd() !== odd) x = x.redNeg();\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.validate = function validate(point) {\n  if (point.isInfinity()) return true; // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2)\n\n  point.normalize();\n  var x2 = point.x.redSqr();\n  var y2 = point.y.redSqr();\n  var lhs = x2.redMul(this.a).redAdd(y2);\n  var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));\n  return lhs.cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, y, z, t) {\n  Base.BasePoint.call(this, curve, 'projective');\n\n  if (x === null && y === null && z === null) {\n    this.x = this.curve.zero;\n    this.y = this.curve.one;\n    this.z = this.curve.one;\n    this.t = this.curve.zero;\n    this.zOne = true;\n  } else {\n    this.x = new BN(x, 16);\n    this.y = new BN(y, 16);\n    this.z = z ? new BN(z, 16) : this.curve.one;\n    this.t = t && new BN(t, 16);\n    if (!this.x.red) this.x = this.x.toRed(this.curve.red);\n    if (!this.y.red) this.y = this.y.toRed(this.curve.red);\n    if (!this.z.red) this.z = this.z.toRed(this.curve.red);\n    if (this.t && !this.t.red) this.t = this.t.toRed(this.curve.red);\n    this.zOne = this.z === this.curve.one; // Use extended coordinates\n\n    if (this.curve.extended && !this.t) {\n      this.t = this.x.redMul(this.y);\n      if (!this.zOne) this.t = this.t.redMul(this.z.redInvm());\n    }\n  }\n}\n\ninherits(Point, Base.BasePoint);\n\nEdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n  return Point.fromJSON(this, obj);\n};\n\nEdwardsCurve.prototype.point = function point(x, y, z, t) {\n  return new Point(this, x, y, z, t);\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n  return new Point(curve, obj[0], obj[1], obj[2]);\n};\n\nPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity()) return '<EC Point Infinity>';\n  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) + ' y: ' + this.y.fromRed().toString(16, 2) + ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n  // XXX This code assumes that zero is always zero in red\n  return this.x.cmpn(0) === 0 && (this.y.cmp(this.z) === 0 || this.zOne && this.y.cmp(this.curve.c) === 0);\n};\n\nPoint.prototype._extDbl = function _extDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #doubling-dbl-2008-hwcd\n  // 4M + 4S\n  // A = X1^2\n  var a = this.x.redSqr(); // B = Y1^2\n\n  var b = this.y.redSqr(); // C = 2 * Z1^2\n\n  var c = this.z.redSqr();\n  c = c.redIAdd(c); // D = a * A\n\n  var d = this.curve._mulA(a); // E = (X1 + Y1)^2 - A - B\n\n\n  var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b); // G = D + B\n\n  var g = d.redAdd(b); // F = G - C\n\n  var f = g.redSub(c); // H = D - B\n\n  var h = d.redSub(b); // X3 = E * F\n\n  var nx = e.redMul(f); // Y3 = G * H\n\n  var ny = g.redMul(h); // T3 = E * H\n\n  var nt = e.redMul(h); // Z3 = F * G\n\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projDbl = function _projDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #doubling-dbl-2008-bbjlp\n  //     #doubling-dbl-2007-bl\n  // and others\n  // Generally 3M + 4S or 2M + 4S\n  // B = (X1 + Y1)^2\n  var b = this.x.redAdd(this.y).redSqr(); // C = X1^2\n\n  var c = this.x.redSqr(); // D = Y1^2\n\n  var d = this.y.redSqr();\n  var nx;\n  var ny;\n  var nz;\n  var e;\n  var h;\n  var j;\n\n  if (this.curve.twisted) {\n    // E = a * C\n    e = this.curve._mulA(c); // F = E + D\n\n    var f = e.redAdd(d);\n\n    if (this.zOne) {\n      // X3 = (B - C - D) * (F - 2)\n      nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two)); // Y3 = F * (E - D)\n\n      ny = f.redMul(e.redSub(d)); // Z3 = F^2 - 2 * F\n\n      nz = f.redSqr().redSub(f).redSub(f);\n    } else {\n      // H = Z1^2\n      h = this.z.redSqr(); // J = F - 2 * H\n\n      j = f.redSub(h).redISub(h); // X3 = (B-C-D)*J\n\n      nx = b.redSub(c).redISub(d).redMul(j); // Y3 = F * (E - D)\n\n      ny = f.redMul(e.redSub(d)); // Z3 = F * J\n\n      nz = f.redMul(j);\n    }\n  } else {\n    // E = C + D\n    e = c.redAdd(d); // H = (c * Z1)^2\n\n    h = this.curve._mulC(this.z).redSqr(); // J = E - 2 * H\n\n    j = e.redSub(h).redSub(h); // X3 = c * (B - E) * J\n\n    nx = this.curve._mulC(b.redISub(e)).redMul(j); // Y3 = c * E * (C - D)\n\n    ny = this.curve._mulC(e).redMul(c.redISub(d)); // Z3 = E * J\n\n    nz = e.redMul(j);\n  }\n\n  return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.dbl = function dbl() {\n  if (this.isInfinity()) return this; // Double in extended coordinates\n\n  if (this.curve.extended) return this._extDbl();else return this._projDbl();\n};\n\nPoint.prototype._extAdd = function _extAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #addition-add-2008-hwcd-3\n  // 8M\n  // A = (Y1 - X1) * (Y2 - X2)\n  var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x)); // B = (Y1 + X1) * (Y2 + X2)\n\n  var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x)); // C = T1 * k * T2\n\n  var c = this.t.redMul(this.curve.dd).redMul(p.t); // D = Z1 * 2 * Z2\n\n  var d = this.z.redMul(p.z.redAdd(p.z)); // E = B - A\n\n  var e = b.redSub(a); // F = D - C\n\n  var f = d.redSub(c); // G = D + C\n\n  var g = d.redAdd(c); // H = B + A\n\n  var h = b.redAdd(a); // X3 = E * F\n\n  var nx = e.redMul(f); // Y3 = G * H\n\n  var ny = g.redMul(h); // T3 = E * H\n\n  var nt = e.redMul(h); // Z3 = F * G\n\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projAdd = function _projAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #addition-add-2008-bbjlp\n  //     #addition-add-2007-bl\n  // 10M + 1S\n  // A = Z1 * Z2\n  var a = this.z.redMul(p.z); // B = A^2\n\n  var b = a.redSqr(); // C = X1 * X2\n\n  var c = this.x.redMul(p.x); // D = Y1 * Y2\n\n  var d = this.y.redMul(p.y); // E = d * C * D\n\n  var e = this.curve.d.redMul(c).redMul(d); // F = B - E\n\n  var f = b.redSub(e); // G = B + E\n\n  var g = b.redAdd(e); // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D)\n\n  var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);\n  var nx = a.redMul(f).redMul(tmp);\n  var ny;\n  var nz;\n\n  if (this.curve.twisted) {\n    // Y3 = A * G * (D - a * C)\n    ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c))); // Z3 = F * G\n\n    nz = f.redMul(g);\n  } else {\n    // Y3 = A * G * (D - C)\n    ny = a.redMul(g).redMul(d.redSub(c)); // Z3 = c * F * G\n\n    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strict';\n\nvar utils = require('../utils');\nvar BN = require('bn.js');\nvar inherits = require('inherits');\nvar Base = require('./base');\n\nvar assert = utils.assert;\n\nfunction EdwardsCurve(conf) {\n  // NOTE: Important as we are creating point in Base.call()\n  this.twisted = (conf.a | 0) !== 1;\n  this.mOneA = this.twisted && (conf.a | 0) === -1;\n  this.extended = this.mOneA;\n\n  Base.call(this, 'edwards', conf);\n\n  this.a = new BN(conf.a, 16).umod(this.red.m);\n  this.a = this.a.toRed(this.red);\n  this.c = new BN(conf.c, 16).toRed(this.red);\n  this.c2 = this.c.redSqr();\n  this.d = new BN(conf.d, 16).toRed(this.red);\n  this.dd = this.d.redAdd(this.d);\n\n  assert(!this.twisted || this.c.fromRed().cmpn(1) === 0);\n  this.oneC = (conf.c | 0) === 1;\n}\ninherits(EdwardsCurve, Base);\nmodule.exports = EdwardsCurve;\n\nEdwardsCurve.prototype._mulA = function _mulA(num) {\n  if (this.mOneA)\n    return num.redNeg();\n  else\n    return this.a.redMul(num);\n};\n\nEdwardsCurve.prototype._mulC = function _mulC(num) {\n  if (this.oneC)\n    return num;\n  else\n    return this.c.redMul(num);\n};\n\n// Just for compatibility with Short curve\nEdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {\n  return this.point(x, y, z, t);\n};\n\nEdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {\n  x = new BN(x, 16);\n  if (!x.red)\n    x = x.toRed(this.red);\n\n  var x2 = x.redSqr();\n  var rhs = this.c2.redSub(this.a.redMul(x2));\n  var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2));\n\n  var y2 = rhs.redMul(lhs.redInvm());\n  var y = y2.redSqrt();\n  if (y.redSqr().redSub(y2).cmp(this.zero) !== 0)\n    throw new Error('invalid point');\n\n  var isOdd = y.fromRed().isOdd();\n  if (odd && !isOdd || !odd && isOdd)\n    y = y.redNeg();\n\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {\n  y = new BN(y, 16);\n  if (!y.red)\n    y = y.toRed(this.red);\n\n  // x^2 = (y^2 - c^2) / (c^2 d y^2 - a)\n  var y2 = y.redSqr();\n  var lhs = y2.redSub(this.c2);\n  var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a);\n  var x2 = lhs.redMul(rhs.redInvm());\n\n  if (x2.cmp(this.zero) === 0) {\n    if (odd)\n      throw new Error('invalid point');\n    else\n      return this.point(this.zero, y);\n  }\n\n  var x = x2.redSqrt();\n  if (x.redSqr().redSub(x2).cmp(this.zero) !== 0)\n    throw new Error('invalid point');\n\n  if (x.fromRed().isOdd() !== odd)\n    x = x.redNeg();\n\n  return this.point(x, y);\n};\n\nEdwardsCurve.prototype.validate = function validate(point) {\n  if (point.isInfinity())\n    return true;\n\n  // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2)\n  point.normalize();\n\n  var x2 = point.x.redSqr();\n  var y2 = point.y.redSqr();\n  var lhs = x2.redMul(this.a).redAdd(y2);\n  var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2)));\n\n  return lhs.cmp(rhs) === 0;\n};\n\nfunction Point(curve, x, y, z, t) {\n  Base.BasePoint.call(this, curve, 'projective');\n  if (x === null && y === null && z === null) {\n    this.x = this.curve.zero;\n    this.y = this.curve.one;\n    this.z = this.curve.one;\n    this.t = this.curve.zero;\n    this.zOne = true;\n  } else {\n    this.x = new BN(x, 16);\n    this.y = new BN(y, 16);\n    this.z = z ? new BN(z, 16) : this.curve.one;\n    this.t = t && new BN(t, 16);\n    if (!this.x.red)\n      this.x = this.x.toRed(this.curve.red);\n    if (!this.y.red)\n      this.y = this.y.toRed(this.curve.red);\n    if (!this.z.red)\n      this.z = this.z.toRed(this.curve.red);\n    if (this.t && !this.t.red)\n      this.t = this.t.toRed(this.curve.red);\n    this.zOne = this.z === this.curve.one;\n\n    // Use extended coordinates\n    if (this.curve.extended && !this.t) {\n      this.t = this.x.redMul(this.y);\n      if (!this.zOne)\n        this.t = this.t.redMul(this.z.redInvm());\n    }\n  }\n}\ninherits(Point, Base.BasePoint);\n\nEdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) {\n  return Point.fromJSON(this, obj);\n};\n\nEdwardsCurve.prototype.point = function point(x, y, z, t) {\n  return new Point(this, x, y, z, t);\n};\n\nPoint.fromJSON = function fromJSON(curve, obj) {\n  return new Point(curve, obj[0], obj[1], obj[2]);\n};\n\nPoint.prototype.inspect = function inspect() {\n  if (this.isInfinity())\n    return '<EC Point Infinity>';\n  return '<EC Point x: ' + this.x.fromRed().toString(16, 2) +\n      ' y: ' + this.y.fromRed().toString(16, 2) +\n      ' z: ' + this.z.fromRed().toString(16, 2) + '>';\n};\n\nPoint.prototype.isInfinity = function isInfinity() {\n  // XXX This code assumes that zero is always zero in red\n  return this.x.cmpn(0) === 0 &&\n    (this.y.cmp(this.z) === 0 ||\n    (this.zOne && this.y.cmp(this.curve.c) === 0));\n};\n\nPoint.prototype._extDbl = function _extDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #doubling-dbl-2008-hwcd\n  // 4M + 4S\n\n  // A = X1^2\n  var a = this.x.redSqr();\n  // B = Y1^2\n  var b = this.y.redSqr();\n  // C = 2 * Z1^2\n  var c = this.z.redSqr();\n  c = c.redIAdd(c);\n  // D = a * A\n  var d = this.curve._mulA(a);\n  // E = (X1 + Y1)^2 - A - B\n  var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b);\n  // G = D + B\n  var g = d.redAdd(b);\n  // F = G - C\n  var f = g.redSub(c);\n  // H = D - B\n  var h = d.redSub(b);\n  // X3 = E * F\n  var nx = e.redMul(f);\n  // Y3 = G * H\n  var ny = g.redMul(h);\n  // T3 = E * H\n  var nt = e.redMul(h);\n  // Z3 = F * G\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projDbl = function _projDbl() {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #doubling-dbl-2008-bbjlp\n  //     #doubling-dbl-2007-bl\n  // and others\n  // Generally 3M + 4S or 2M + 4S\n\n  // B = (X1 + Y1)^2\n  var b = this.x.redAdd(this.y).redSqr();\n  // C = X1^2\n  var c = this.x.redSqr();\n  // D = Y1^2\n  var d = this.y.redSqr();\n\n  var nx;\n  var ny;\n  var nz;\n  var e;\n  var h;\n  var j;\n  if (this.curve.twisted) {\n    // E = a * C\n    e = this.curve._mulA(c);\n    // F = E + D\n    var f = e.redAdd(d);\n    if (this.zOne) {\n      // X3 = (B - C - D) * (F - 2)\n      nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two));\n      // Y3 = F * (E - D)\n      ny = f.redMul(e.redSub(d));\n      // Z3 = F^2 - 2 * F\n      nz = f.redSqr().redSub(f).redSub(f);\n    } else {\n      // H = Z1^2\n      h = this.z.redSqr();\n      // J = F - 2 * H\n      j = f.redSub(h).redISub(h);\n      // X3 = (B-C-D)*J\n      nx = b.redSub(c).redISub(d).redMul(j);\n      // Y3 = F * (E - D)\n      ny = f.redMul(e.redSub(d));\n      // Z3 = F * J\n      nz = f.redMul(j);\n    }\n  } else {\n    // E = C + D\n    e = c.redAdd(d);\n    // H = (c * Z1)^2\n    h = this.curve._mulC(this.z).redSqr();\n    // J = E - 2 * H\n    j = e.redSub(h).redSub(h);\n    // X3 = c * (B - E) * J\n    nx = this.curve._mulC(b.redISub(e)).redMul(j);\n    // Y3 = c * E * (C - D)\n    ny = this.curve._mulC(e).redMul(c.redISub(d));\n    // Z3 = E * J\n    nz = e.redMul(j);\n  }\n  return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.dbl = function dbl() {\n  if (this.isInfinity())\n    return this;\n\n  // Double in extended coordinates\n  if (this.curve.extended)\n    return this._extDbl();\n  else\n    return this._projDbl();\n};\n\nPoint.prototype._extAdd = function _extAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html\n  //     #addition-add-2008-hwcd-3\n  // 8M\n\n  // A = (Y1 - X1) * (Y2 - X2)\n  var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x));\n  // B = (Y1 + X1) * (Y2 + X2)\n  var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x));\n  // C = T1 * k * T2\n  var c = this.t.redMul(this.curve.dd).redMul(p.t);\n  // D = Z1 * 2 * Z2\n  var d = this.z.redMul(p.z.redAdd(p.z));\n  // E = B - A\n  var e = b.redSub(a);\n  // F = D - C\n  var f = d.redSub(c);\n  // G = D + C\n  var g = d.redAdd(c);\n  // H = B + A\n  var h = b.redAdd(a);\n  // X3 = E * F\n  var nx = e.redMul(f);\n  // Y3 = G * H\n  var ny = g.redMul(h);\n  // T3 = E * H\n  var nt = e.redMul(h);\n  // Z3 = F * G\n  var nz = f.redMul(g);\n  return this.curve.point(nx, ny, nz, nt);\n};\n\nPoint.prototype._projAdd = function _projAdd(p) {\n  // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html\n  //     #addition-add-2008-bbjlp\n  //     #addition-add-2007-bl\n  // 10M + 1S\n\n  // A = Z1 * Z2\n  var a = this.z.redMul(p.z);\n  // B = A^2\n  var b = a.redSqr();\n  // C = X1 * X2\n  var c = this.x.redMul(p.x);\n  // D = Y1 * Y2\n  var d = this.y.redMul(p.y);\n  // E = d * C * D\n  var e = this.curve.d.redMul(c).redMul(d);\n  // F = B - E\n  var f = b.redSub(e);\n  // G = B + E\n  var g = b.redAdd(e);\n  // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D)\n  var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d);\n  var nx = a.redMul(f).redMul(tmp);\n  var ny;\n  var nz;\n  if (this.curve.twisted) {\n    // Y3 = A * G * (D - a * C)\n    ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c)));\n    // Z3 = F * G\n    nz = f.redMul(g);\n  } else {\n    // Y3 = A * G * (D - C)\n    ny = a.redMul(g).redMul(d.redSub(c));\n    // Z3 = c * F * G\n    nz = this.curve._mulC(f).redMul(g);\n  }\n  return this.curve.point(nx, ny, nz);\n};\n\nPoint.prototype.add = function add(p) {\n  if (this.isInfinity())\n    return p;\n  if (p.isInfinity())\n    return this;\n\n  if (this.curve.extended)\n    return this._extAdd(p);\n  else\n    return this._projAdd(p);\n};\n\nPoint.prototype.mul = function mul(k) {\n  if (this._hasDoubles(k))\n    return this.curve._fixedNafMul(this, k);\n  else\n    return this.curve._wnafMul(this, k);\n};\n\nPoint.prototype.mulAdd = function mulAdd(k1, p, k2) {\n  return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false);\n};\n\nPoint.prototype.jmulAdd = function jmulAdd(k1, p, k2) {\n  return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true);\n};\n\nPoint.prototype.normalize = function normalize() {\n  if (this.zOne)\n    return this;\n\n  // Normalize coordinates\n  var zi = this.z.redInvm();\n  this.x = this.x.redMul(zi);\n  this.y = this.y.redMul(zi);\n  if (this.t)\n    this.t = this.t.redMul(zi);\n  this.z = this.curve.one;\n  this.zOne = true;\n  return this;\n};\n\nPoint.prototype.neg = function neg() {\n  return this.curve.point(this.x.redNeg(),\n    this.y,\n    this.z,\n    this.t && this.t.redNeg());\n};\n\nPoint.prototype.getX = function getX() {\n  this.normalize();\n  return this.x.fromRed();\n};\n\nPoint.prototype.getY = function getY() {\n  this.normalize();\n  return this.y.fromRed();\n};\n\nPoint.prototype.eq = function eq(other) {\n  return this === other ||\n         this.getX().cmp(other.getX()) === 0 &&\n         this.getY().cmp(other.getY()) === 0;\n};\n\nPoint.prototype.eqXToP = function eqXToP(x) {\n  var rx = x.toRed(this.curve.red).redMul(this.z);\n  if (this.x.cmp(rx) === 0)\n    return true;\n\n  var xc = x.clone();\n  var t = this.curve.redN.redMul(this.z);\n  for (;;) {\n    xc.iadd(this.curve.n);\n    if (xc.cmp(this.curve.p) >= 0)\n      return false;\n\n    rx.redIAdd(t);\n    if (this.x.cmp(rx) === 0)\n      return true;\n  }\n};\n\n// Compatibility with BaseCurve\nPoint.prototype.toP = Point.prototype.normalize;\nPoint.prototype.mixedAdd = Point.prototype.add;\n"]},"metadata":{},"sourceType":"script"}