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authorPeter Dettman <peter.dettman@bouncycastle.org>2014-02-26 20:22:13 +0400
committerPeter Dettman <peter.dettman@bouncycastle.org>2014-02-26 20:22:13 +0400
commit65a22d65e43a3ace6e78d7f8a8113f52a3abf103 (patch)
treeb45eaceea4968d5001113110871635e2878ef82c /core/src/main/java/org/bouncycastle
parent20c87e4c916c3d2d996d2221668ce60724a4b731 (diff)
Add custom curve for secp384r1 (P-384)
Diffstat (limited to 'core/src/main/java/org/bouncycastle')
-rw-r--r--core/src/main/java/org/bouncycastle/crypto/ec/CustomNamedCurves.java19
-rw-r--r--core/src/main/java/org/bouncycastle/math/ec/custom/sec/Nat384.java44
-rw-r--r--core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Curve.java100
-rw-r--r--core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Field.java234
-rw-r--r--core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1FieldElement.java192
-rw-r--r--core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Point.java320
6 files changed, 909 insertions, 0 deletions
diff --git a/core/src/main/java/org/bouncycastle/crypto/ec/CustomNamedCurves.java b/core/src/main/java/org/bouncycastle/crypto/ec/CustomNamedCurves.java
index fb00a444..329618cd 100644
--- a/core/src/main/java/org/bouncycastle/crypto/ec/CustomNamedCurves.java
+++ b/core/src/main/java/org/bouncycastle/crypto/ec/CustomNamedCurves.java
@@ -15,6 +15,7 @@ import org.bouncycastle.math.ec.custom.sec.SecP224K1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP224R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP256K1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP256R1Curve;
+import org.bouncycastle.math.ec.custom.sec.SecP384R1Curve;
import org.bouncycastle.math.ec.custom.sec.SecP521R1Curve;
import org.bouncycastle.util.Strings;
import org.bouncycastle.util.encoders.Hex;
@@ -123,6 +124,22 @@ public class CustomNamedCurves
};
/*
+ * secp384r1
+ */
+ static X9ECParametersHolder secp384r1 = new X9ECParametersHolder()
+ {
+ protected X9ECParameters createParameters()
+ {
+ byte[] S = Hex.decode("A335926AA319A27A1D00896A6773A4827ACDAC73");
+ ECCurve curve = configureCurve(new SecP384R1Curve());
+ ECPoint G = curve.decodePoint(Hex.decode("04"
+ + "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7"
+ + "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"));
+ return new X9ECParameters(curve, G, curve.getOrder(), curve.getCofactor(), S);
+ }
+ };
+
+ /*
* secp521r1
*/
static X9ECParametersHolder secp521r1 = new X9ECParametersHolder()
@@ -157,11 +174,13 @@ public class CustomNamedCurves
defineCurve("secp224r1", SECObjectIdentifiers.secp224r1, secp224r1);
defineCurve("secp256k1", SECObjectIdentifiers.secp256k1, secp256k1);
defineCurve("secp256r1", SECObjectIdentifiers.secp256r1, secp256r1);
+ defineCurve("secp384r1", SECObjectIdentifiers.secp384r1, secp384r1);
defineCurve("secp521r1", SECObjectIdentifiers.secp521r1, secp521r1);
objIds.put(Strings.toLowerCase("P-192"), SECObjectIdentifiers.secp192r1);
objIds.put(Strings.toLowerCase("P-224"), SECObjectIdentifiers.secp224r1);
objIds.put(Strings.toLowerCase("P-256"), SECObjectIdentifiers.secp256r1);
+ objIds.put(Strings.toLowerCase("P-384"), SECObjectIdentifiers.secp384r1);
objIds.put(Strings.toLowerCase("P-521"), SECObjectIdentifiers.secp521r1);
}
diff --git a/core/src/main/java/org/bouncycastle/math/ec/custom/sec/Nat384.java b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/Nat384.java
new file mode 100644
index 00000000..67e2dd05
--- /dev/null
+++ b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/Nat384.java
@@ -0,0 +1,44 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import org.bouncycastle.math.ec.Nat;
+
+public abstract class Nat384
+{
+ public static void mul(int[] x, int[] y, int[] zz)
+ {
+ Nat192.mul(x, y, zz);
+ Nat192.mul(x, 6, y, 6, zz, 12);
+
+ int c18 = Nat192.addToEachOther(zz, 6, zz, 12);
+ int c12 = c18 + Nat192.addTo(zz, 0, zz, 6, 0);
+ c18 += Nat192.addTo(zz, 18, zz, 12, c12);
+
+ int[] dx = Nat192.create(), dy = Nat192.create();
+ boolean neg = Nat192.diff(x, 6, x, 0, dx, 0) != Nat192.diff(y, 6, y, 0, dy, 0);
+
+ int[] tt = Nat192.createExt();
+ Nat192.mul(dx, dy, tt);
+
+ c18 += neg ? Nat.addTo(12, tt, 0, zz, 6) : Nat.subFrom(12, tt, 0, zz, 6);
+ Nat.addWordExt(12, c18, zz, 18);
+ }
+
+ public static void square(int[] x, int[] zz)
+ {
+ Nat192.square(x, zz);
+ Nat192.square(x, 6, zz, 12);
+
+ int c18 = Nat192.addToEachOther(zz, 6, zz, 12);
+ int c12 = c18 + Nat192.addTo(zz, 0, zz, 6, 0);
+ c18 += Nat192.addTo(zz, 18, zz, 12, c12);
+
+ int[] dx = Nat192.create();
+ Nat192.diff(x, 6, x, 0, dx, 0);
+
+ int[] tt = Nat192.createExt();
+ Nat192.square(dx, tt);
+
+ c18 += Nat.subFrom(12, tt, 0, zz, 6);
+ Nat.addWordExt(12, c18, zz, 18);
+ }
+}
diff --git a/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Curve.java b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Curve.java
new file mode 100644
index 00000000..ede502e2
--- /dev/null
+++ b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Curve.java
@@ -0,0 +1,100 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import java.math.BigInteger;
+
+import org.bouncycastle.math.ec.ECCurve;
+import org.bouncycastle.math.ec.ECFieldElement;
+import org.bouncycastle.math.ec.ECPoint;
+import org.bouncycastle.math.field.FiniteFields;
+import org.bouncycastle.util.encoders.Hex;
+
+public class SecP384R1Curve extends ECCurve
+{
+ public static final BigInteger q = new BigInteger(1,
+ Hex.decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"));
+
+ private static final int SecP384R1_DEFAULT_COORDS = COORD_JACOBIAN;
+
+ protected SecP384R1Point infinity;
+
+ public SecP384R1Curve()
+ {
+ super(FiniteFields.getPrimeField(q));
+
+ this.infinity = new SecP384R1Point(this, null, null);
+
+ this.a = fromBigInteger(new BigInteger(1,
+ Hex.decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")));
+ this.b = fromBigInteger(new BigInteger(1,
+ Hex.decode("B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")));
+ this.order = new BigInteger(1, Hex.decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"));
+ this.cofactor = BigInteger.valueOf(1);
+
+ this.coord = SecP384R1_DEFAULT_COORDS;
+ }
+
+ protected ECCurve cloneCurve()
+ {
+ return new SecP384R1Curve();
+ }
+
+ public boolean supportsCoordinateSystem(int coord)
+ {
+ switch (coord)
+ {
+ case COORD_JACOBIAN:
+ return true;
+ default:
+ return false;
+ }
+ }
+
+ public BigInteger getQ()
+ {
+ return q;
+ }
+
+ public int getFieldSize()
+ {
+ return q.bitLength();
+ }
+
+ public ECFieldElement fromBigInteger(BigInteger x)
+ {
+ return new SecP384R1FieldElement(x);
+ }
+
+ protected ECPoint createRawPoint(ECFieldElement x, ECFieldElement y, boolean withCompression)
+ {
+ return new SecP384R1Point(this, x, y, withCompression);
+ }
+
+ protected ECPoint decompressPoint(int yTilde, BigInteger X1)
+ {
+ ECFieldElement x = fromBigInteger(X1);
+ ECFieldElement alpha = x.square().add(getA()).multiply(x).add(getB());
+ ECFieldElement beta = alpha.sqrt();
+
+ //
+ // if we can't find a sqrt we haven't got a point on the
+ // curve - run!
+ //
+ if (beta == null)
+ {
+ throw new RuntimeException("Invalid point compression");
+ }
+
+ if (beta.testBitZero() != (yTilde == 1))
+ {
+ // Use the other root
+ beta = beta.negate();
+ }
+
+ return new SecP384R1Point(this, x, beta, true);
+ }
+
+ public ECPoint getInfinity()
+ {
+ return infinity;
+ }
+}
diff --git a/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Field.java b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Field.java
new file mode 100644
index 00000000..f403b0d8
--- /dev/null
+++ b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Field.java
@@ -0,0 +1,234 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import java.math.BigInteger;
+
+import org.bouncycastle.math.ec.Nat;
+import org.bouncycastle.util.Arrays;
+
+public class SecP384R1Field
+{
+ private static final long M = 0xFFFFFFFFL;
+
+ // 2^384 - 2^128 - 2^96 + 2^32 - 1
+ static final int[] P = new int[]{ 0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
+ private static final int P11 = 0xFFFFFFFF;
+ private static final int[] PExt = new int[]{ 0x00000001, 0xFFFFFFFE, 0x00000000, 0x00000002, 0x00000000, 0xFFFFFFFE,
+ 0x00000000, 0x00000002, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFE, 0x00000001, 0x00000000,
+ 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF };
+ private static final int PExt23 = 0xFFFFFFFF;
+
+ public static void add(int[] x, int[] y, int[] z)
+ {
+ int c = Nat.add(12, x, y, z);
+ if (c != 0 || (z[11] == P11 && Nat.gte(12, z, P)))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ }
+
+ public static void addExt(int[] xx, int[] yy, int[] zz)
+ {
+ int c = Nat.add(24, xx, yy, zz);
+ if (c != 0 || (zz[23] == PExt23 && Nat.gte(24, zz, PExt)))
+ {
+ Nat.sub(24, zz, PExt, zz);
+ }
+ }
+
+ public static void addOne(int[] x, int[] z)
+ {
+ Nat.copy(12, x, z);
+ int c = Nat.inc(12, z, 0);
+ if (c != 0 || (z[11] == P11 && Nat.gte(12, z, P)))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ }
+
+ public static int[] fromBigInteger(BigInteger x)
+ {
+ int[] z = Nat.fromBigInteger(384, x);
+ if (z[11] == P11 && Nat.gte(12, z, P))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ return z;
+ }
+
+ public static void half(int[] x, int[] z)
+ {
+ if ((x[0] & 1) == 0)
+ {
+ Nat.shiftDownBit(12, x, 0, z);
+ }
+ else
+ {
+ int c = Nat.add(12, x, P, z);
+ Nat.shiftDownBit(12, z, c);
+ }
+ }
+
+ public static void multiply(int[] x, int[] y, int[] z)
+ {
+ int[] tt = Nat.create(24);
+ Nat384.mul(x, y, tt);
+ reduce(tt, z);
+ }
+
+ public static void negate(int[] x, int[] z)
+ {
+ if (Nat.isZero(12, x))
+ {
+ Nat.zero(12, z);
+ }
+ else
+ {
+ Nat.sub(12, P, x, z);
+ }
+ }
+
+ public static void reduce(int[] xx, int[] z)
+ {
+ long xx12 = xx[12] & M, xx13 = xx[13] & M, xx14 = xx[14] & M, xx15 = xx[15] & M;
+ long xx16 = xx[16] & M, xx17 = xx[17] & M, xx18 = xx[18] & M, xx19 = xx[19] & M;
+ long xx20 = xx[20] & M, xx21 = xx[21] & M, xx22 = xx[22] & M, xx23 = xx[23] & M;
+
+ long cc = 0;
+ cc += (xx[0] & M) + xx12 + xx20 + xx21 - xx23;
+ z[0] = (int)cc;
+ cc >>= 32;
+ cc += (xx[1] & M) + xx13 + xx22 + xx23 - xx12 - xx20;
+ z[1] = (int)cc;
+ cc >>= 32;
+ cc += (xx[2] & M) + xx14 + xx23 - xx13 - xx21;
+ z[2] = (int)cc;
+ cc >>= 32;
+ cc += (xx[3] & M) + xx12 + xx15 + xx20 + xx21 - xx14 - xx22 - xx23;
+ z[3] = (int)cc;
+ cc >>= 32;
+ cc += (xx[4] & M) + xx12 + xx13 + xx16 + xx20 + ((xx21 - xx23) << 1) + xx22 - xx15;
+ z[4] = (int)cc;
+ cc >>= 32;
+ cc += (xx[5] & M) + xx13 + xx14 + xx17 + xx21 + (xx22 << 1) + xx23 - xx16;
+ z[5] = (int)cc;
+ cc >>= 32;
+ cc += (xx[6] & M) + xx14 + xx15 + xx18 + xx22 + (xx23 << 1) - xx17;
+ z[6] = (int)cc;
+ cc >>= 32;
+ cc += (xx[7] & M) + xx15 + xx16 + xx19 + xx23 - xx18;
+ z[7] = (int)cc;
+ cc >>= 32;
+ cc += (xx[8] & M) + xx16 + xx17 + xx20 - xx19;
+ z[8] = (int)cc;
+ cc >>= 32;
+ cc += (xx[9] & M) + xx17 + xx18 + xx21 - xx20;
+ z[9] = (int)cc;
+ cc >>= 32;
+ cc += (xx[10] & M) + xx18 + xx19 + xx22 - xx21;
+ z[10] = (int)cc;
+ cc >>= 32;
+ cc += (xx[11] & M) + xx19 + xx20 + xx23 - xx22;
+ z[11] = (int)cc;
+ cc >>= 32;
+
+ int c = (int)cc;
+ if (c < 0)
+ {
+ do
+ {
+ c += Nat.add(12, z, P, z);
+ }
+ while (c < 0);
+ }
+ else
+ {
+ while (c > 0)
+ {
+ c += Nat.sub(12, z, P, z);
+ }
+
+ if (z[11] == P11 && Nat.gte(12, z, P))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ }
+ }
+
+ public static void reduce32(int x, int[] z)
+ {
+ long xx12 = x & M;
+
+ long cc = 0;
+ cc += (z[0] & M) + xx12;
+ z[0] = (int)cc;
+ cc >>= 32;
+ cc += (z[1] & M) - xx12;
+ z[1] = (int)cc;
+ cc >>= 32;
+ cc += (z[2] & M);
+ z[2] = (int)cc;
+ cc >>= 32;
+ cc += (z[3] & M) + xx12;
+ z[3] = (int)cc;
+ cc >>= 32;
+ cc += (z[4] & M) + xx12;
+ z[4] = (int)cc;
+ cc >>= 32;
+
+ int c = Nat.addWord(12, (int)cc, z, 5);
+ if (c != 0 || (z[11] == P11 && Nat.gte(12, z, P)))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ }
+
+ public static void square(int[] x, int[] z)
+ {
+ int[] tt = Nat.create(24);
+ Nat384.square(x, tt);
+ reduce(tt, z);
+ }
+
+ public static void squareN(int[] x, int n, int[] z)
+ {
+// assert n > 0;
+
+ int[] tt = Nat.create(24);
+ Nat384.square(x, tt);
+ reduce(tt, z);
+
+ while (--n > 0)
+ {
+ Nat384.square(z, tt);
+ reduce(tt, z);
+ }
+ }
+
+ public static void subtract(int[] x, int[] y, int[] z)
+ {
+ int c = Nat.sub(12, x, y, z);
+ if (c != 0)
+ {
+ Nat.add(12, z, P, z);
+ }
+ }
+
+ public static void subtractExt(int[] xx, int[] yy, int[] zz)
+ {
+ int c = Nat.sub(24, xx, yy, zz);
+ if (c != 0)
+ {
+ Nat.add(24, zz, PExt, zz);
+ }
+ }
+
+ public static void twice(int[] x, int[] z)
+ {
+ int c = Nat.shiftUpBit(12, x, 0, z);
+ if (c != 0 || (z[11] == P11 && Nat.gte(12, z, P)))
+ {
+ Nat.sub(12, z, P, z);
+ }
+ }
+}
diff --git a/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1FieldElement.java b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1FieldElement.java
new file mode 100644
index 00000000..627b25cf
--- /dev/null
+++ b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1FieldElement.java
@@ -0,0 +1,192 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import java.math.BigInteger;
+
+import org.bouncycastle.math.ec.ECFieldElement;
+import org.bouncycastle.math.ec.Mod;
+import org.bouncycastle.math.ec.Nat;
+import org.bouncycastle.util.Arrays;
+
+public class SecP384R1FieldElement extends ECFieldElement
+{
+ public static final BigInteger Q = SecP384R1Curve.q;
+
+ protected int[] x;
+
+ public SecP384R1FieldElement(BigInteger x)
+ {
+ if (x == null || x.signum() < 0 || x.compareTo(Q) >= 0)
+ {
+ throw new IllegalArgumentException("x value invalid for SecP384R1FieldElement");
+ }
+
+ this.x = SecP384R1Field.fromBigInteger(x);
+ }
+
+ public SecP384R1FieldElement()
+ {
+ this.x = Nat.create(12);
+ }
+
+ protected SecP384R1FieldElement(int[] x)
+ {
+ this.x = x;
+ }
+
+ public boolean isZero()
+ {
+ return Nat.isZero(12, x);
+ }
+
+ public boolean isOne()
+ {
+ return Nat.isOne(12, x);
+ }
+
+ public boolean testBitZero()
+ {
+ return Nat.getBit(x, 0) == 1;
+ }
+
+ public BigInteger toBigInteger()
+ {
+ return Nat.toBigInteger(12, x);
+ }
+
+ public String getFieldName()
+ {
+ return "SecP384R1Field";
+ }
+
+ public int getFieldSize()
+ {
+ return Q.bitLength();
+ }
+
+ public ECFieldElement add(ECFieldElement b)
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.add(x, ((SecP384R1FieldElement)b).x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement addOne()
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.addOne(x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement subtract(ECFieldElement b)
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.subtract(x, ((SecP384R1FieldElement)b).x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement multiply(ECFieldElement b)
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.multiply(x, ((SecP384R1FieldElement)b).x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement divide(ECFieldElement b)
+ {
+// return multiply(b.invert());
+ int[] z = Nat.create(12);
+ Mod.invert(SecP384R1Field.P, ((SecP384R1FieldElement)b).x, z);
+ SecP384R1Field.multiply(z, x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement negate()
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.negate(x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement square()
+ {
+ int[] z = Nat.create(12);
+ SecP384R1Field.square(x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ public ECFieldElement invert()
+ {
+// return new SecP384R1FieldElement(toBigInteger().modInverse(Q));
+ int[] z = Nat.create(12);
+ Mod.invert(SecP384R1Field.P, x, z);
+ return new SecP384R1FieldElement(z);
+ }
+
+ /**
+ * return a sqrt root - the routine verifies that the calculation returns the right value - if
+ * none exists it returns null.
+ */
+ public ECFieldElement sqrt()
+ {
+ ECFieldElement root = new ECFieldElement.Fp(Q, toBigInteger()).sqrt();
+ return root == null ? null : new SecP384R1FieldElement(root.toBigInteger());
+
+// // Raise this element to the exponent 2^254 - 2^222 + 2^190 + 2^94
+//
+// int[] x1 = this.x;
+// if (Nat384.isZero(x1) || Nat384.isOne(x1))
+// {
+// return this;
+// }
+//
+// int[] t1 = Nat.create(12);
+// int[] t2 = Nat.create(12);
+//
+// SecP384R1Field.square(x1, t1);
+// SecP384R1Field.multiply(t1, x1, t1);
+//
+// SecP384R1Field.squareN(t1, 2, t2);
+// SecP384R1Field.multiply(t2, t1, t2);
+//
+// SecP384R1Field.squareN(t2, 4, t1);
+// SecP384R1Field.multiply(t1, t2, t1);
+//
+// SecP384R1Field.squareN(t1, 8, t2);
+// SecP384R1Field.multiply(t2, t1, t2);
+//
+// SecP384R1Field.squareN(t2, 16, t1);
+// SecP384R1Field.multiply(t1, t2, t1);
+//
+// SecP384R1Field.squareN(t1, 32, t1);
+// SecP384R1Field.multiply(t1, x1, t1);
+//
+// SecP384R1Field.squareN(t1, 96, t1);
+// SecP384R1Field.multiply(t1, x1, t1);
+//
+// SecP384R1Field.squareN(t1, 94, t1);
+// SecP384R1Field.square(t1, t2);
+//
+// return Arrays.areEqual(x1, t2) ? new SecP384R1FieldElement(t1) : null;
+ }
+
+ public boolean equals(Object other)
+ {
+ if (other == this)
+ {
+ return true;
+ }
+
+ if (!(other instanceof SecP384R1FieldElement))
+ {
+ return false;
+ }
+
+ SecP384R1FieldElement o = (SecP384R1FieldElement)other;
+ return Arrays.areEqual(x, o.x);
+ }
+
+ public int hashCode()
+ {
+ return Q.hashCode() ^ Arrays.hashCode(x);
+ }
+}
diff --git a/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Point.java b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Point.java
new file mode 100644
index 00000000..f0076141
--- /dev/null
+++ b/core/src/main/java/org/bouncycastle/math/ec/custom/sec/SecP384R1Point.java
@@ -0,0 +1,320 @@
+package org.bouncycastle.math.ec.custom.sec;
+
+import org.bouncycastle.math.ec.ECCurve;
+import org.bouncycastle.math.ec.ECFieldElement;
+import org.bouncycastle.math.ec.ECPoint;
+import org.bouncycastle.math.ec.Nat;
+
+public class SecP384R1Point extends ECPoint
+{
+ /**
+ * Create a point which encodes with point compression.
+ *
+ * @param curve
+ * the curve to use
+ * @param x
+ * affine x co-ordinate
+ * @param y
+ * affine y co-ordinate
+ *
+ * @deprecated Use ECCurve.createPoint to construct points
+ */
+ public SecP384R1Point(ECCurve curve, ECFieldElement x, ECFieldElement y)
+ {
+ this(curve, x, y, false);
+ }
+
+ /**
+ * Create a point that encodes with or without point compresion.
+ *
+ * @param curve
+ * the curve to use
+ * @param x
+ * affine x co-ordinate
+ * @param y
+ * affine y co-ordinate
+ * @param withCompression
+ * if true encode with point compression
+ *
+ * @deprecated per-point compression property will be removed, refer
+ * {@link #getEncoded(boolean)}
+ */
+ public SecP384R1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, boolean withCompression)
+ {
+ super(curve, x, y);
+
+ if ((x == null) != (y == null))
+ {
+ throw new IllegalArgumentException("Exactly one of the field elements is null");
+ }
+
+ this.withCompression = withCompression;
+ }
+
+ SecP384R1Point(ECCurve curve, ECFieldElement x, ECFieldElement y, ECFieldElement[] zs, boolean withCompression)
+ {
+ super(curve, x, y, zs);
+
+ this.withCompression = withCompression;
+ }
+
+ protected ECPoint detach()
+ {
+ return new SecP384R1Point(null, getAffineXCoord(), getAffineYCoord());
+ }
+
+ protected boolean getCompressionYTilde()
+ {
+ return this.getAffineYCoord().testBitZero();
+ }
+
+ public ECPoint add(ECPoint b)
+ {
+ if (this.isInfinity())
+ {
+ return b;
+ }
+ if (b.isInfinity())
+ {
+ return this;
+ }
+ if (this == b)
+ {
+ return twice();
+ }
+
+ ECCurve curve = this.getCurve();
+
+ SecP384R1FieldElement X1 = (SecP384R1FieldElement)this.x, Y1 = (SecP384R1FieldElement)this.y;
+ SecP384R1FieldElement X2 = (SecP384R1FieldElement)b.getXCoord(), Y2 = (SecP384R1FieldElement)b.getYCoord();
+
+ SecP384R1FieldElement Z1 = (SecP384R1FieldElement)this.zs[0];
+ SecP384R1FieldElement Z2 = (SecP384R1FieldElement)b.getZCoord(0);
+
+ int[] tt1 = Nat.create(24);
+ int[] tt2 = Nat.create(24);
+ int[] t3 = Nat.create(12);
+ int[] t4 = Nat.create(12);
+
+ boolean Z1IsOne = Z1.isOne();
+ int[] U2, S2;
+ if (Z1IsOne)
+ {
+ U2 = X2.x;
+ S2 = Y2.x;
+ }
+ else
+ {
+ S2 = t3;
+ SecP384R1Field.square(Z1.x, S2);
+
+ U2 = tt2;
+ SecP384R1Field.multiply(S2, X2.x, U2);
+
+ SecP384R1Field.multiply(S2, Z1.x, S2);
+ SecP384R1Field.multiply(S2, Y2.x, S2);
+ }
+
+ boolean Z2IsOne = Z2.isOne();
+ int[] U1, S1;
+ if (Z2IsOne)
+ {
+ U1 = X1.x;
+ S1 = Y1.x;
+ }
+ else
+ {
+ S1 = t4;
+ SecP384R1Field.square(Z2.x, S1);
+
+ U1 = tt1;
+ SecP384R1Field.multiply(S1, X1.x, U1);
+
+ SecP384R1Field.multiply(S1, Z2.x, S1);
+ SecP384R1Field.multiply(S1, Y1.x, S1);
+ }
+
+ int[] H = Nat.create(12);
+ SecP384R1Field.subtract(U1, U2, H);
+
+ int[] R = Nat.create(12);// tt2;
+ SecP384R1Field.subtract(S1, S2, R);
+
+ // Check if b == this or b == -this
+ if (Nat.isZero(12, H))
+ {
+ if (Nat.isZero(12, R))
+ {
+ // this == b, i.e. this must be doubled
+ return this.twice();
+ }
+
+ // this == -b, i.e. the result is the point at infinity
+ return curve.getInfinity();
+ }
+
+ int[] HSquared = t3;
+ SecP384R1Field.square(H, HSquared);
+
+ int[] G = Nat.create(12);
+ SecP384R1Field.multiply(HSquared, H, G);
+
+ int[] V = t3;
+ SecP384R1Field.multiply(HSquared, U1, V);
+
+ Nat384.mul(S1, G, tt1);
+
+ SecP384R1FieldElement X3 = new SecP384R1FieldElement(t4);
+ SecP384R1Field.square(R, X3.x);
+ SecP384R1Field.add(X3.x, G, X3.x);
+ SecP384R1Field.subtract(X3.x, V, X3.x);
+ SecP384R1Field.subtract(X3.x, V, X3.x);
+
+ SecP384R1FieldElement Y3 = new SecP384R1FieldElement(G);
+ SecP384R1Field.subtract(V, X3.x, Y3.x);
+ Nat384.mul(Y3.x, R, tt2);
+ SecP384R1Field.subtractExt(tt2, tt1, tt2);
+ SecP384R1Field.reduce(tt2, Y3.x);
+
+ SecP384R1FieldElement Z3 = new SecP384R1FieldElement(H);
+ if (!Z1IsOne)
+ {
+ SecP384R1Field.multiply(Z3.x, Z1.x, Z3.x);
+ }
+ if (!Z2IsOne)
+ {
+ SecP384R1Field.multiply(Z3.x, Z2.x, Z3.x);
+ }
+
+ ECFieldElement[] zs = new ECFieldElement[]{ Z3 };
+
+ return new SecP384R1Point(curve, X3, Y3, zs, this.withCompression);
+ }
+
+ public ECPoint twice()
+ {
+ if (this.isInfinity())
+ {
+ return this;
+ }
+
+ ECCurve curve = this.getCurve();
+
+ SecP384R1FieldElement Y1 = (SecP384R1FieldElement)this.y;
+ if (Y1.isZero())
+ {
+ return curve.getInfinity();
+ }
+
+ SecP384R1FieldElement X1 = (SecP384R1FieldElement)this.x, Z1 = (SecP384R1FieldElement)this.zs[0];
+
+ int[] t1 = Nat.create(12);
+ int[] t2 = Nat.create(12);
+
+ int[] Y1Squared = Nat.create(12);
+ SecP384R1Field.square(Y1.x, Y1Squared);
+
+ int[] T = Nat.create(12);
+ SecP384R1Field.square(Y1Squared, T);
+
+ boolean Z1IsOne = Z1.isOne();
+
+ int[] Z1Squared = Z1.x;
+ if (!Z1IsOne)
+ {
+ Z1Squared = t2;
+ SecP384R1Field.square(Z1.x, Z1Squared);
+ }
+
+ SecP384R1Field.subtract(X1.x, Z1Squared, t1);
+
+ int[] M = t2;
+ SecP384R1Field.add(X1.x, Z1Squared, M);
+ SecP384R1Field.multiply(M, t1, M);
+ SecP384R1Field.twice(M, t1);
+ SecP384R1Field.add(M, t1, M);
+
+ int[] S = Y1Squared;
+ SecP384R1Field.multiply(Y1Squared, X1.x, S);
+ int c = Nat.shiftUpBits(12, S, 2, 0);
+ SecP384R1Field.reduce32(c, S);
+
+ c = Nat.shiftUpBits(12, T, 3, 0, t1);
+ SecP384R1Field.reduce32(c, t1);
+
+ SecP384R1FieldElement X3 = new SecP384R1FieldElement(T);
+ SecP384R1Field.square(M, X3.x);
+ SecP384R1Field.subtract(X3.x, S, X3.x);
+ SecP384R1Field.subtract(X3.x, S, X3.x);
+
+ SecP384R1FieldElement Y3 = new SecP384R1FieldElement(S);
+ SecP384R1Field.subtract(S, X3.x, Y3.x);
+ SecP384R1Field.multiply(Y3.x, M, Y3.x);
+ SecP384R1Field.subtract(Y3.x, t1, Y3.x);
+
+ SecP384R1FieldElement Z3 = new SecP384R1FieldElement(M);
+ SecP384R1Field.twice(Y1.x, Z3.x);
+ if (!Z1IsOne)
+ {
+ SecP384R1Field.multiply(Z3.x, Z1.x, Z3.x);
+ }
+
+ return new SecP384R1Point(curve, X3, Y3, new ECFieldElement[]{ Z3 }, this.withCompression);
+ }
+
+ public ECPoint twicePlus(ECPoint b)
+ {
+ if (this == b)
+ {
+ return threeTimes();
+ }
+ if (this.isInfinity())
+ {
+ return b;
+ }
+ if (b.isInfinity())
+ {
+ return twice();
+ }
+
+ ECFieldElement Y1 = this.y;
+ if (Y1.isZero())
+ {
+ return b;
+ }
+
+ return twice().add(b);
+ }
+
+ public ECPoint threeTimes()
+ {
+ if (this.isInfinity() || this.y.isZero())
+ {
+ return this;
+ }
+
+ // NOTE: Be careful about recursions between twicePlus and threeTimes
+ return twice().add(this);
+ }
+
+ public ECPoint subtract(ECPoint b)
+ {
+ if (b.isInfinity())
+ {
+ return this;
+ }
+
+ // Add -b
+ return add(b.negate());
+ }
+
+ public ECPoint negate()
+ {
+ if (this.isInfinity())
+ {
+ return this;
+ }
+
+ return new SecP384R1Point(curve, this.x, this.y.negate(), this.zs, this.withCompression);
+ }
+}