create Points with not only hex strings

pointFromX, pointFromY and initialization functions for points got an additional optional function parameter. This can be used for providing strings containing numbers in other bases than 16 (hex).

lib/elliptic/curve/edwards.js

@@ -47,8 +47,8 @@ EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) {
   return this.point(x, y, z, t);
 };
 
-EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {
-  x = new BN(x, 16);
+EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd, base = 16) {
+  x = new BN(x, base);
   if (!x.red)
     x = x.toRed(this.red);
 
@@ -68,8 +68,8 @@ EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) {
   return this.point(x, y);
 };
 
-EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) {
-  y = new BN(y, 16);
+EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd, base = 16) {
+  y = new BN(y, base);
   if (!y.red)
     y = y.toRed(this.red);
 
@@ -111,7 +111,7 @@ EdwardsCurve.prototype.validate = function validate(point) {
   return lhs.cmp(rhs) === 0;
 };
 
-function Point(curve, x, y, z, t) {
+function Point(curve, x, y, z, t, base = 16) {
   Base.BasePoint.call(this, curve, 'projective');
   if (x === null && y === null && z === null) {
     this.x = this.curve.zero;
@@ -120,10 +120,10 @@ function Point(curve, x, y, z, t) {
     this.t = this.curve.zero;
     this.zOne = true;
   } else {
-    this.x = new BN(x, 16);
-    this.y = new BN(y, 16);
-    this.z = z ? new BN(z, 16) : this.curve.one;
-    this.t = t && new BN(t, 16);
+    this.x = new BN(x, base);
+    this.y = new BN(y, base);
+    this.z = z ? new BN(z, base) : this.curve.one;
+    this.t = t && new BN(t, base);
     if (!this.x.red)
       this.x = this.x.toRed(this.curve.red);
     if (!this.y.red)

lib/elliptic/curve/mont.js

@@ -27,14 +27,14 @@ MontCurve.prototype.validate = function validate(point) {
   return y.redSqr().cmp(rhs) === 0;
 };
 
-function Point(curve, x, z) {
+function Point(curve, x, z, base = 16) {
   Base.BasePoint.call(this, curve, 'projective');
   if (x === null && z === null) {
     this.x = this.curve.one;
     this.z = this.curve.zero;
   } else {
-    this.x = new BN(x, 16);
-    this.z = new BN(z, 16);
+    this.x = new BN(x, base);
+    this.z = new BN(z, base);
     if (!this.x.red)
       this.x = this.x.toRed(this.curve.red);
     if (!this.z.red)

lib/elliptic/curve/short.js

@@ -184,8 +184,8 @@ ShortCurve.prototype._endoSplit = function _endoSplit(k) {
   return { k1: k1, k2: k2 };
 };
 
-ShortCurve.prototype.pointFromX = function pointFromX(x, odd) {
-  x = new BN(x, 16);
+ShortCurve.prototype.pointFromX = function pointFromX(x, odd, base = 16) {
+  x = new BN(x, base);
   if (!x.red)
     x = x.toRed(this.red);
 
@@ -248,15 +248,15 @@ ShortCurve.prototype._endoWnafMulAdd =
   return res;
 };
 
-function Point(curve, x, y, isRed) {
+function Point(curve, x, y, isRed, base = 16) {
   Base.BasePoint.call(this, curve, 'affine');
   if (x === null && y === null) {
     this.x = null;
     this.y = null;
     this.inf = true;
   } else {
-    this.x = new BN(x, 16);
-    this.y = new BN(y, 16);
+    this.x = new BN(x, base);
+    this.y = new BN(y, base);
     // Force redgomery representation when loading from JSON
     if (isRed) {
       this.x.forceRed(this.curve.red);
@@ -419,8 +419,8 @@ Point.prototype.getY = function getY() {
   return this.y.fromRed();
 };
 
-Point.prototype.mul = function mul(k) {
-  k = new BN(k, 16);
+Point.prototype.mul = function mul(k, base = 16) {
+  k = new BN(k, base);
   if (this.isInfinity())
     return this;
   else if (this._hasDoubles(k))
@@ -487,16 +487,16 @@ Point.prototype.toJ = function toJ() {
   return res;
 };
 
-function JPoint(curve, x, y, z) {
+function JPoint(curve, x, y, z, base = 16) {
   Base.BasePoint.call(this, curve, 'jacobian');
   if (x === null && y === null && z === null) {
     this.x = this.curve.one;
     this.y = this.curve.one;
     this.z = new BN(0);
   } else {
-    this.x = new BN(x, 16);
-    this.y = new BN(y, 16);
-    this.z = new BN(z, 16);
+    this.x = new BN(x, base);
+    this.y = new BN(y, base);
+    this.z = new BN(z, base);
   }
   if (!this.x.red)
     this.x = this.x.toRed(this.curve.red);