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The Bouncy Castle Crypto package is a Java implementation of cryptographic algorithms. This jar contains JCE provider and lightweight API for the Bouncy Castle Cryptography APIs for JDK 1.5 and up.
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package org.bouncycastle.math.ec.endo;
import java.math.BigInteger;
import org.bouncycastle.math.ec.ECConstants;
import org.bouncycastle.math.ec.ECCurve;
import org.bouncycastle.math.ec.ECPoint;
import org.bouncycastle.math.ec.PreCompCallback;
import org.bouncycastle.math.ec.PreCompInfo;
public abstract class EndoUtil
{
public static final String PRECOMP_NAME = "bc_endo";
public static BigInteger[] decomposeScalar(ScalarSplitParameters p, BigInteger k)
{
int bits = p.getBits();
BigInteger b1 = calculateB(k, p.getG1(), bits);
BigInteger b2 = calculateB(k, p.getG2(), bits);
BigInteger a = k.subtract((b1.multiply(p.getV1A())).add(b2.multiply(p.getV2A())));
BigInteger b = (b1.multiply(p.getV1B())).add(b2.multiply(p.getV2B())).negate();
return new BigInteger[]{ a, b };
}
public static ECPoint mapPoint(final ECEndomorphism endomorphism, final ECPoint p)
{
final ECCurve c = p.getCurve();
EndoPreCompInfo precomp = (EndoPreCompInfo)c.precompute(p, PRECOMP_NAME, new PreCompCallback()
{
public PreCompInfo precompute(PreCompInfo existing)
{
EndoPreCompInfo existingEndo = (existing instanceof EndoPreCompInfo) ? (EndoPreCompInfo)existing : null;
if (checkExisting(existingEndo, endomorphism))
{
return existingEndo;
}
ECPoint mappedPoint = endomorphism.getPointMap().map(p);
EndoPreCompInfo result = new EndoPreCompInfo();
result.setEndomorphism(endomorphism);
result.setMappedPoint(mappedPoint);
return result;
}
private boolean checkExisting(EndoPreCompInfo existingEndo, ECEndomorphism endomorphism)
{
return null != existingEndo
&& existingEndo.getEndomorphism() == endomorphism
&& existingEndo.getMappedPoint() != null;
}
});
return precomp.getMappedPoint();
}
private static BigInteger calculateB(BigInteger k, BigInteger g, int t)
{
boolean negative = (g.signum() < 0);
BigInteger b = k.multiply(g.abs());
boolean extra = b.testBit(t - 1);
b = b.shiftRight(t);
if (extra)
{
b = b.add(ECConstants.ONE);
}
return negative ? b.negate() : b;
}
}
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