package org.bouncycastle.math.ec; import java.math.BigInteger; /** * Class implementing the NAF (Non-Adjacent Form) multiplication algorithm (right-to-left) using * mixed coordinates. */ public class MixedNafR2LMultiplier extends AbstractECMultiplier { protected int additionCoord, doublingCoord; /** * By default, addition will be done in Jacobian coordinates, and doubling will be done in * Modified Jacobian coordinates (independent of the original coordinate system of each point). */ public MixedNafR2LMultiplier() { this(ECCurve.COORD_JACOBIAN, ECCurve.COORD_JACOBIAN_MODIFIED); } public MixedNafR2LMultiplier(int additionCoord, int doublingCoord) { this.additionCoord = additionCoord; this.doublingCoord = doublingCoord; } protected ECPoint multiplyPositive(ECPoint p, BigInteger k) { ECCurve curveOrig = p.getCurve(); ECCurve curveAdd = configureCurve(curveOrig, additionCoord); ECCurve curveDouble = configureCurve(curveOrig, doublingCoord); int[] naf = WNafUtil.generateCompactNaf(k); ECPoint Ra = curveAdd.getInfinity(); ECPoint Td = curveDouble.importPoint(p); int zeroes = 0; for (int i = 0; i < naf.length; ++i) { int ni = naf[i]; int digit = ni >> 16; zeroes += ni & 0xFFFF; Td = Td.timesPow2(zeroes); ECPoint Tj = curveAdd.importPoint(Td); if (digit < 0) { Tj = Tj.negate(); } Ra = Ra.add(Tj); zeroes = 1; } return curveOrig.importPoint(Ra); } protected ECCurve configureCurve(ECCurve c, int coord) { if (c.getCoordinateSystem() == coord) { return c; } if (!c.supportsCoordinateSystem(coord)) { throw new IllegalArgumentException("Coordinate system " + coord + " not supported by this curve"); } return c.configure().setCoordinateSystem(coord).create(); } }