/* * Copyright (c) 2019, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have * questions. */ package benchmark.crypto; import org.openjdk.jmh.annotations.*; import jdk.incubator.vector.*; import java.util.Arrays; @State(Scope.Thread) @BenchmarkMode(Mode.Throughput) @Fork(value = 1, jvmArgsPrepend = {"--add-modules=jdk.incubator.vector"}) @Warmup(iterations = 3, time = 3) @Measurement(iterations = 8, time = 2) public class Poly1305Bench { @Param({"16384", "65536"}) private int dataSize; private Poly1305Vector poly1305_S128 = makePoly1305(Vector.Shape.S_128_BIT); private Poly1305Vector poly1305_S256 = makePoly1305(Vector.Shape.S_256_BIT); private Poly1305Vector poly1305_S512 = makePoly1305(Vector.Shape.S_512_BIT); private byte[] in; private byte[] out = new byte[16]; private byte[] key = new byte[32]; private static Poly1305Vector makePoly1305(Vector.Shape shape) { Poly1305Vector poly = new Poly1305Vector(shape); runKAT(poly); return poly; } @Setup public void setup() { in = new byte[dataSize]; } @Benchmark public void auth128() { poly1305_S128.computeTag(key, in, out); } @Benchmark public void auth256() { poly1305_S256.computeTag(key, in, out); } @Benchmark public void auth512() { poly1305_S512.computeTag(key, in, out); } private static class Poly1305Vector { private static final int BITS_PER_LIMB = 26; private static final int LIMB_MASK = (1 << BITS_PER_LIMB) - 1; private static final int KEY_LENGTH = 32; private static final int RS_LENGTH = KEY_LENGTH / 2; private final Vector.Species longSpecies; private final Vector.Species intSpecies; private final int vectorWidth; private final int parBlockCount; private final LongVector.Shuffle inShuffle0; private final LongVector.Shuffle inShuffle1; private final IntVector.Mask inMask; public Poly1305Vector(Vector.Shape shape) { this.longSpecies = Vector.Species.of(long.class, shape); int intSize = shape.bitSize() / 2; Vector.Shape intShape = Vector.Shape.forBitSize(intSize); this.intSpecies = Vector.Species.of(int.class, intShape); this.vectorWidth = longSpecies.length(); this.parBlockCount = vectorWidth * 16; this.inShuffle0 = makeInShuffle0(); this.inShuffle1 = makeInShuffle1(); this.inMask = makeInMask(); } private LongVector.Shuffle makeInShuffle0() { int[] indexArr = new int[vectorWidth]; for (int i = 0; i < indexArr.length; i++) { indexArr[i] = (2 * i) % vectorWidth; } return LongVector.shuffleFromArray(longSpecies, indexArr, 0); } private LongVector.Shuffle makeInShuffle1() { int[] indexArr = new int[vectorWidth]; for (int i = 0; i < indexArr.length; i++) { indexArr[i] = ((2 * i) % vectorWidth) + 1; } return LongVector.shuffleFromArray(longSpecies, indexArr, 0); } private LongVector.Mask makeInMask() { boolean[] maskArr = new boolean[vectorWidth]; for (int i = vectorWidth / 2; i < vectorWidth; i++) { maskArr[i] = true; } return LongVector.maskFromArray(longSpecies, maskArr, 0); } private static int[] fromByteArray(byte[] buf) { int[] result = new int[5]; result[0] = (buf[0] & 0xFF) + ((buf[1] & 0xFF) << 8) + ((buf[2] & 0xFF) << 16) + ((buf[3] & 0x03) << 24); result[1] = ((buf[3] & 0xFF) >> 2) + ((buf[4] & 0xFF) << 6) + ((buf[5] & 0xFF) << 14) + ((buf[6] & 0x0F) << 22); result[2] = ((buf[6] & 0xFF) >> 4) + ((buf[7] & 0xFF) << 4) + ((buf[8] & 0xFF) << 12) + ((buf[9] & 0x3F) << 20); result[3] = ((buf[9] & 0xFF) >> 6) + ((buf[10] & 0xFF) << 2) + ((buf[11] & 0xFF) << 10) + ((buf[12] & 0xFF) << 18); result[4] = (buf[13] & 0xFF) + ((buf[14] & 0xFF) << 8) + ((buf[15] & 0xFF) << 16); return result; } private static void toByteArray(long v0, long v1, long v2, long v3, long v4, byte[] dst) { dst[0] = (byte) v0; v0 >>= 8; dst[1] = (byte) v0; v0 >>= 8; dst[2] = (byte) v0; v0 >>= 8; dst[3] = (byte) v0; dst[3] += (v1 & 0x3F) << 2; v1 >>= 6; dst[4] = (byte) v1; v1 >>= 8; dst[5] = (byte) v1; v1 >>= 8; dst[6] = (byte) v1; dst[6] += (v2 & 0xF) << 4; v2 >>= 4; dst[7] = (byte) v2; v2 >>= 8; dst[8] = (byte) v2; v2 >>= 8; dst[9] = (byte) v2; dst[9] += (v3 & 0x3) << 6; v3 >>= 2; dst[10] = (byte) v3; v3 >>= 8; dst[11] = (byte) v3; v3 >>= 8; dst[12] = (byte) v3; dst[13] = (byte) v4; v4 >>= 8; dst[14] = (byte) v4; v4 >>= 8; dst[15] = (byte) v4; } protected static long carryValue(long x) { return x >> BITS_PER_LIMB; } public static void carryReduce(int[] r, long c0, long c1, long c2, long c3, long c4) { long c; c = carryValue(c3); c3 &= LIMB_MASK; c4 += c; c = carryValue(c4); c4 &= LIMB_MASK; c0 += c * 5; c = carryValue(c0); c0 &= LIMB_MASK; c1 += c; c = carryValue(c1); c1 &= LIMB_MASK; c2 += c; c = carryValue(c2); c2 &= LIMB_MASK; c3 += c; c = carryValue(c3); c3 &= LIMB_MASK; c4 += c; r[0] = (int) c0; r[1] = (int) c1; r[2] = (int) c2; r[3] = (int) c3; r[4] = (int) c4; } private int[] multiply(int[] a, int[] b) { int[] result = new int[5]; long a0 = a[0]; long a1 = a[1]; long a2 = a[2]; long a3 = a[3]; long a4 = a[4]; long c0 = (a0 * b[0]) + 5 * (a1 * b[4]) + 5 * (a2 * b[3]) + 5 * (a3 * b[2]) + 5 * (a4 * b[1]); long c1 = (a0 * b[1]) + (a1 * b[0]) + 5 * (a2 * b[4]) + 5 * (a3 * b[3]) + 5 * (a4 * b[2]); long c2 = (a0 * b[2]) + (a1 * b[1]) + (a2 * b[0]) + 5 * (a3 * b[4]) + 5 * (a4 * b[3]); long c3 = (a0 * b[3]) + (a1 * b[2]) + (a2 * b[1]) + (a3 * b[0]) + 5 * (a4 * b[4]); long c4 = (a0 * b[4]) + (a1 * b[3]) + (a2 * b[2]) + (a3 * b[1]) + (a4 * b[0]); carryReduce(result, c0, c1, c2, c3, c4); return result; } private LongVector rPowerVec(int[][] r, long[] temp, int maxIndex, int secondIndex) { for (int i = 0; i < temp.length; i++) { temp[i] = r[maxIndex - i][secondIndex]; } return LongVector.fromArray(longSpecies, temp, 0); } public void computeTag(byte[] key, byte[] msg, byte[] out) { byte[] keyBytes = key.clone(); // setup key values // Clamp the bytes in the "r" half of the key. keyBytes[3] &= 15; keyBytes[7] &= 15; keyBytes[11] &= 15; keyBytes[15] &= 15; keyBytes[4] &= 252; keyBytes[8] &= 252; keyBytes[12] &= 252; // Create IntegerModuloP elements from the r and s values int[][] r = new int[vectorWidth][]; r[0] = fromByteArray(keyBytes); for (int i = 1; i < vectorWidth; i++) { r[i] = multiply(r[i - 1], r[0]); } int rUpIndex = vectorWidth - 1; IntVector rUp0_int = IntVector.broadcast(intSpecies, r[rUpIndex][0]); IntVector rUp1_int = IntVector.broadcast(intSpecies, r[rUpIndex][1]); IntVector rUp2_int = IntVector.broadcast(intSpecies, r[rUpIndex][2]); IntVector rUp3_int = IntVector.broadcast(intSpecies, r[rUpIndex][3]); IntVector rUp4_int = IntVector.broadcast(intSpecies, r[rUpIndex][4]); IntVector r5Up1_int = rUp1_int.mul(5); IntVector r5Up2_int = rUp2_int.mul(5); IntVector r5Up3_int = rUp3_int.mul(5); IntVector r5Up4_int = rUp4_int.mul(5); LongVector longMsg0 = LongVector.fromByteArray(longSpecies, msg, 0); LongVector longMsg1 = LongVector.fromByteArray(longSpecies, msg, vectorWidth * 8); LongVector inAlign0 = longMsg0.rearrange(longMsg1, inShuffle0, inMask); LongVector inAlign1 = longMsg0.rearrange(longMsg1, inShuffle1, inMask); IntVector a0 = (IntVector) inAlign0.and(LIMB_MASK).cast(intSpecies); IntVector a1 = (IntVector) inAlign0.shiftR(26).and(LIMB_MASK).cast(intSpecies); IntVector a2 = (IntVector) inAlign0.shiftR(52).and(0xFFF).cast(intSpecies); a2 = a2.or(inAlign1.and(0x3FFF).shiftL(12).cast(intSpecies)); IntVector a3 = (IntVector) inAlign1.shiftR(14).and(LIMB_MASK).cast(intSpecies); IntVector a4 = (IntVector) inAlign1.shiftR(40).and(0xFFFFFF).cast(intSpecies); a4 = a4.or(1 << 24); int numParBlocks = msg.length / parBlockCount - 1; for (int i = 0; i < numParBlocks; i++) { // multiply and reduce LongVector c0 = (LongVector) a0.cast(longSpecies).mul(rUp0_int.cast(longSpecies)) .add(a1.cast(longSpecies).mul(r5Up4_int.cast(longSpecies))) .add(a2.cast(longSpecies).mul(r5Up3_int.cast(longSpecies))) .add(a3.cast(longSpecies).mul(r5Up2_int.cast(longSpecies))) .add(a4.cast(longSpecies).mul(r5Up1_int.cast(longSpecies))); LongVector c1 = (LongVector) a0.cast(longSpecies).mul(rUp1_int.cast(longSpecies)) .add(a1.cast(longSpecies).mul(rUp0_int.cast(longSpecies))) .add(a2.cast(longSpecies).mul(r5Up4_int.cast(longSpecies))) .add(a3.cast(longSpecies).mul(r5Up3_int.cast(longSpecies))) .add(a4.cast(longSpecies).mul(r5Up2_int.cast(longSpecies))); LongVector c2 = (LongVector) a0.cast(longSpecies).mul(rUp2_int.cast(longSpecies)) .add(a1.cast(longSpecies).mul(rUp1_int.cast(longSpecies))) .add(a2.cast(longSpecies).mul(rUp0_int.cast(longSpecies))) .add(a3.cast(longSpecies).mul(r5Up4_int.cast(longSpecies))) .add(a4.cast(longSpecies).mul(r5Up3_int.cast(longSpecies))); LongVector c3 = (LongVector) a0.cast(longSpecies).mul(rUp3_int.cast(longSpecies)) .add(a1.cast(longSpecies).mul(rUp2_int.cast(longSpecies))) .add(a2.cast(longSpecies).mul(rUp1_int.cast(longSpecies))) .add(a3.cast(longSpecies).mul(rUp0_int.cast(longSpecies))) .add(a4.cast(longSpecies).mul(r5Up4_int.cast(longSpecies))); LongVector c4 = (LongVector) a0.cast(longSpecies).mul(rUp4_int.cast(longSpecies)) .add(a1.cast(longSpecies).mul(rUp3_int.cast(longSpecies))) .add(a2.cast(longSpecies).mul(rUp2_int.cast(longSpecies))) .add(a3.cast(longSpecies).mul(rUp1_int.cast(longSpecies))) .add(a4.cast(longSpecies).mul(rUp0_int.cast(longSpecies))); // carry/reduce // Note: this carry/reduce sequence might not be correct c4 = c4.add(c3.shiftR(BITS_PER_LIMB)); c3 = c3.and(LIMB_MASK); c0 = c0.add(c4.shiftR(BITS_PER_LIMB).mul(5)); c4 = c4.and(LIMB_MASK); c1 = c1.add(c0.shiftR(BITS_PER_LIMB)); c0 = c0.and(LIMB_MASK); c2 = c2.add(c1.shiftR(BITS_PER_LIMB)); c1 = c1.and(LIMB_MASK); c3 = c3.add(c2.shiftR(BITS_PER_LIMB)); c2 = c2.and(LIMB_MASK); c4 = c4.add(c3.shiftR(BITS_PER_LIMB)); c3 = c3.and(LIMB_MASK); a0 = (IntVector) c0.cast(intSpecies); a1 = (IntVector) c1.cast(intSpecies); a2 = (IntVector) c2.cast(intSpecies); a3 = (IntVector) c3.cast(intSpecies); a4 = (IntVector) c4.cast(intSpecies); // fromByteArray and add next part of message int start = parBlockCount * (i + 1); longMsg0 = LongVector.fromByteArray(longSpecies, msg, start); longMsg1 = LongVector.fromByteArray(longSpecies, msg, start + vectorWidth * 8); inAlign0 = longMsg0.rearrange(longMsg1, inShuffle0, inMask); inAlign1 = longMsg0.rearrange(longMsg1, inShuffle1, inMask); IntVector in0 = (IntVector) inAlign0.and(LIMB_MASK).cast(intSpecies); IntVector in1 = (IntVector) inAlign0.shiftR(26).and(LIMB_MASK).cast(intSpecies); IntVector in2 = (IntVector) inAlign0.shiftR(52).and(0xFFF).cast(intSpecies); in2 = in2.or(inAlign1.and(0x3FFF).shiftL(12).cast(intSpecies)); IntVector in3 = (IntVector) inAlign1.shiftR(14).and(LIMB_MASK).cast(intSpecies); IntVector in4 = (IntVector) inAlign1.shiftR(40).and(0xFFFFFF).cast(intSpecies); in4 = in4.or(1 << 24); a0 = a0.add(in0); a1 = a1.add(in1); a2 = a2.add(in2); a3 = a3.add(in3); a4 = a4.add(in4); } // multiply by powers of r long[] rTemp = new long[vectorWidth]; LongVector rFin0 = rPowerVec(r, rTemp, rUpIndex, 0); LongVector rFin1 = rPowerVec(r, rTemp, rUpIndex, 1); LongVector rFin2 = rPowerVec(r, rTemp, rUpIndex, 2); LongVector rFin3 = rPowerVec(r, rTemp, rUpIndex, 3); LongVector rFin4 = rPowerVec(r, rTemp, rUpIndex, 4); LongVector r5Fin_1 = rFin1.mul(5); LongVector r5Fin_2 = rFin2.mul(5); LongVector r5Fin_3 = rFin3.mul(5); LongVector r5Fin_4 = rFin4.mul(5); LongVector c0 = (LongVector) a0.cast(longSpecies).mul(rFin0) .add(a1.cast(longSpecies).mul(r5Fin_4)) .add(a2.cast(longSpecies).mul(r5Fin_3)) .add(a3.cast(longSpecies).mul(r5Fin_2)) .add(a4.cast(longSpecies).mul(r5Fin_1)); LongVector c1 = (LongVector) a0.cast(longSpecies).mul(rFin1) .add(a1.cast(longSpecies).mul(rFin0)) .add(a2.cast(longSpecies).mul(r5Fin_4)) .add(a3.cast(longSpecies).mul(r5Fin_3)) .add(a4.cast(longSpecies).mul(r5Fin_2)); LongVector c2 = (LongVector) a0.cast(longSpecies).mul(rFin2) .add(a1.cast(longSpecies).mul(rFin1)) .add(a2.cast(longSpecies).mul(rFin0)) .add(a3.cast(longSpecies).mul(r5Fin_4)) .add(a4.cast(longSpecies).mul(r5Fin_3)); LongVector c3 = (LongVector) a0.cast(longSpecies).mul(rFin3) .add(a1.cast(longSpecies).mul(rFin2)) .add(a2.cast(longSpecies).mul(rFin1)) .add(a3.cast(longSpecies).mul(rFin0)) .add(a4.cast(longSpecies).mul(r5Fin_4)); LongVector c4 = (LongVector) a0.cast(longSpecies).mul(rFin4) .add(a1.cast(longSpecies).mul(rFin3)) .add(a2.cast(longSpecies).mul(rFin2)) .add(a3.cast(longSpecies).mul(rFin1)) .add(a4.cast(longSpecies).mul(rFin0)); c4 = c4.add(c3.shiftR(BITS_PER_LIMB)); c3 = c3.and(LIMB_MASK); c0 = c0.add(c4.shiftR(BITS_PER_LIMB).mul(5)); c4 = c4.and(LIMB_MASK); c1 = c1.add(c0.shiftR(BITS_PER_LIMB)); c0 = c0.and(LIMB_MASK); c2 = c2.add(c1.shiftR(BITS_PER_LIMB)); c1 = c1.and(LIMB_MASK); c3 = c3.add(c2.shiftR(BITS_PER_LIMB)); c2 = c2.and(LIMB_MASK); c4 = c4.add(c3.shiftR(BITS_PER_LIMB)); c3 = c3.and(LIMB_MASK); a0 = (IntVector) c0.cast(intSpecies); a1 = (IntVector) c1.cast(intSpecies); a2 = (IntVector) c2.cast(intSpecies); a3 = (IntVector) c3.cast(intSpecies); a4 = (IntVector) c4.cast(intSpecies); // collect lanes and calculate tag long a0Fin = a0.addAll(); long a1Fin = a1.addAll(); long a2Fin = a2.addAll(); long a3Fin = a3.addAll(); long a4Fin = a4.addAll(); // carry/reduce the result a4Fin = a4Fin + (a3Fin >>> BITS_PER_LIMB); a3Fin = a3Fin & LIMB_MASK; a0Fin = a0Fin + ((a4Fin >>> BITS_PER_LIMB) * 5); a4Fin = a4Fin & LIMB_MASK; a1Fin = a1Fin + (a0Fin >>> BITS_PER_LIMB); a0Fin = a0Fin & LIMB_MASK; a2Fin = a2Fin + (a1Fin >>> BITS_PER_LIMB); a1Fin = a1Fin & LIMB_MASK; a3Fin = a3Fin + (a2Fin >>> BITS_PER_LIMB); a2Fin = a2Fin & LIMB_MASK; a4Fin = a4Fin + (a3Fin >>> BITS_PER_LIMB); a3Fin = a3Fin & LIMB_MASK; byte[] s_arr = Arrays.copyOfRange(keyBytes, RS_LENGTH, 2 * RS_LENGTH); int[] s = fromByteArray(s_arr); // Add in the s-half of the key to the accumulator a0Fin += s[0]; a1Fin += s[1]; a2Fin += s[2]; a3Fin += s[3]; a4Fin += s[4]; // final carry mod 2^130 a1Fin = a1Fin + (a0Fin >> BITS_PER_LIMB); a0Fin = a0Fin & LIMB_MASK; a2Fin = a2Fin + (a1Fin >> BITS_PER_LIMB); a1Fin = a1Fin & LIMB_MASK; a3Fin = a3Fin + (a2Fin >> BITS_PER_LIMB); a2Fin = a2Fin & LIMB_MASK; a4Fin = a4Fin + (a3Fin >> BITS_PER_LIMB); a3Fin = a3Fin & LIMB_MASK; a4Fin = a4Fin & LIMB_MASK; // put result in buffer toByteArray(a0Fin, a1Fin, a2Fin, a3Fin, a4Fin, out); } } private static byte[] hexStringToByteArray(String str) { byte[] result = new byte[str.length() / 2]; for (int i = 0; i < result.length; i++) { result[i] = (byte) Character.digit(str.charAt(2 * i), 16); result[i] <<= 4; result[i] += Character.digit(str.charAt(2 * i + 1), 16); } return result; } public static String byteArrayToHexString(byte[] arr) { StringBuilder result = new StringBuilder(); for (int i = 0; i < arr.length; ++i) { byte curVal = arr[i]; result.append(Character.forDigit(curVal >> 4 & 0xF, 16)); result.append(Character.forDigit(curVal & 0xF, 16)); } return result.toString(); } private static void kat(Poly1305Vector poly1305, String key, String msg, String expectedTag) { kat(poly1305, hexStringToByteArray(key), hexStringToByteArray(msg), hexStringToByteArray(expectedTag)); } private static void kat(Poly1305Vector poly1305, byte[] key, byte[] msg, byte[] expectedTag) { byte[] tag = new byte[expectedTag.length]; poly1305.computeTag(key, msg, tag); if (!Arrays.equals(tag, expectedTag)) { throw new RuntimeException( "bad tag: " + byteArrayToHexString(tag) + " expected: " + byteArrayToHexString(expectedTag)); } } /* * Poly1305 Known Answer Tests to ensure that the implementation is correct. */ private static void runKAT(Poly1305Vector poly1305) { kat(poly1305, "d212b886dd4682a41f1759e6c5aef84760e5a63d4423ca7d1fb5c7ecfc5dac27", "5d2ad39e2a7b0bc5f375488643acf391188d01ad936971457427bc053c4262a1" + "598532850def8573213c5f79fa736703c57c03ec49b55617210998c8af408698" + "866632a7ecf7e9a688605cbca919e17e2badd090a7a6d83ad90be0617fa44642" + "cc9a1ca38514a026cbea51c287ec0b56719fc61183c88e9450ba85aa8ab7d390", "7ccdfa8e82df540276e8172f705adce2"); kat(poly1305, "2b0b684c86910104aee1d261ac4d5a0f5443b4b7746cf7f8ba03921d273f6a9b", "027b359f44a5d60f81073ceb74749207742529dcefa4a26a1817db2c8d50ba2b" + "d9e170cd1930946872d95e4eae41389f362087871a749897e0fbe42494e6f0b3" + "8db01e2059510b6fda4f422ce7d226433ba00940e1761baaff80d9b8f3a61d11" + "a109e6082d231cf85aa718199e6eaaaf07bad562469ef1b8e639c727967bf6da" + "bcd16fcb0fc102095325e2fac92e599e81c26900df1deb7b0a0b5c321a658024" + "26506740509ece646fecf33a517b66e57577372156aae85765c6b473521d1019" + "4f5fbe0e932cfee716e1d41c9154fb8e15b82ab7e807fb54f3d7d3e4c589cc9a" + "492d17ea4fd27894fa9d22a9db6d5df674cd1e97e7e8758a360291f22dfe1cc3", "84ca3a778faf0ab9f840fe5fb38ace27"); kat(poly1305, "870c6fa7da2eadb845ac8b0eeaed4cf856eca67bf96b64a29a2e6a881821fa8a", "ff1a3b67a4f575be5f05c4054e4c7365838c2cbe786ba78900c8b43f197c3c4d" + "120432a287e434669af579bcd56f3320e54d2f97a306f917f2f41b1c97cc69db" + "4ac2051adccd687fa89f92504d1ab5c3006681d846c8051aabccca0024ef5ec4" + "c43b8701ffc9d14fef8d55e229ed210a2b9bde996f5d7b545d15e1fc32764604" + "b2a0384dd173aa800b7526c8ff397c05130bb6a1f2194968adaef6979b023cd8" + "d9195d2739351c7e4ac6c43508634f813641f669e78cbcf732ccb1321a2cd2c4" + "14c7df5b9ea3408f2e12fbf3a3cbdb98699dd5402725ec25f9fff9bcd0f93cb3" + "cf0dac016fec41a5ef3ae8b8d258a09f530ad14ad2e52186041592eac0ea22ff" + "8c3751009b516c60f7764cccbb816394ef035bd8cb2a38d5c6b9229e528e56cd" + "62600b5219b64212642384e628f01d790eeef4963a7d1a63a9faff79d4acfa09" + "78b58b0b623ae89389661aa408b16814d3baaca20978dce6888c3365f4ffd2fa" + "8f031a44f2e870a06da21d7becf450d335e1386268bc189435e7955a477bc368", "ff4e0ee6feb1c6a57e638a79fafc7c60"); kat(poly1305, "c27987ae88a833ae2ea90371b2e257c15773da3bc34516b6b075446e1f844a81", "64e5a2e2940b173c7103ae931ced302a8f8c778f4e5c0b3677c51552655005d8" + "504b724107e7262448c94db83fc9c6a2a26fc973360dce15c0553b73bb733d3e" + "f61fcba8977e76c32523b80c3b45b1226b23ee17522f9b677880c69b356917ae" + "3c792a0c5b0c77b90dfa51483626323b7a73fffb1b128c595d553bf62a8f5bb9" + "fa48b4a850a932481bf607e8da84730c9052bba9316ec7eb84007a4eb5cbed5c" + "7c67ef32d4c5cb6cfbccd738d239857c240de6d3d4e5af14d480feb63541e5d8" + "036e088b2e32431e6fe0c4d3505aebe2e14bd02b6b15325f89aef048cd1236db" + "4461a59304b7c61ece2c52ef8ac4cf2326e6aaff013494b1b191be4ae4381f57" + "e72b947ee23d0a528087db9338bc28c68484929fc3436995b2083b06a765ceb7" + "09e9dd41ba896d99832d6851189766e844137d9a83d2890bc2be7afc82f9ebb8" + "bafe08ef5f7ff0cce9a1d08e6b797a17df04731f384a34b16e72e9f2ab070114" + "8008945509fe378658dc51eb752248f48364be327cd1b6bd148c518a976ae95d" + "d391f3b0d447251988c7e77400c9d44395b8f9f10cbc442a6804d0ad83e8c3e3" + "9fa09c2140fac143c90f09a7d907c57e29b528d54c8bd927f39aee2cec671213" + "c50fe657b29682d57a419e3e52dafb348cbe44b6c17e4be18f5c5e411734fcfc" + "99b9ca26f29a21cc93374ef1bfa86ca2bb3be76b94b4ef69ec790c968a51e4d0", "d4c09727f68fa3beb57ce9e74205b652"); kat(poly1305, "2593adf2efc0e49c7fde0d45de4f7a21ceb76df45c0e5a917ef1f6b7fbf4fb7e", "23665b9a6d4f04c9d58347d32d64d4cbf8d4ca993a8bb73758e6eb2db9f97096" + "d0f00aca8cb16460d2bc15c0136fa92482602f47b3ec78244c4dc619d9b28afa" + "19b063c196bcff848eff179102cce29dfcc58bf90a2f6311e6d021e2573ccbb4" + "4e06947167c9865127c0b7362196523f97c8157058f7aebff475f77e23393dc1" + "a3031bbaf31270db3eadc00cca6ae073aa53160d095afdce0a202de8a23d9a38" + "b0bed20cbe64e1ec77fc13ba0cfc9be52edb70475bf1aeaaff25e11f2e0ae47f" + "f23cbd4a6219d276fcc6c8f12a739f11434c86d4e24397f96ef6e36d9195fa8a" + "48eb55990d69feacfb754b5019a3ebafa98d5544077b46c136cc11de8ee7f8a6" + "76a6696600088696233f4e8f060ba8a64890fb638469639bfb727ed758c36250" + "a553b7ce1115509f2bb19c13cea87003a8eff45ce9e1cff0a21ba5ae19226d50" + "e108db212a588e5f4c502468859b9b607922c3311b5d912bd9400e696d7debbb" + "9ac5454cc7d0f95fc242c491f095a02f0d3bd7ead0f0b7358c9b1d85e4e9ab75" + "24bb43867c94a21a4e0db6470a210c9dd937e4801396bd687127fa7c83014c85" + "372553c56dfd6cd9b75fa10483aea825f8e3fa53c6bf17467e37c2e7439ed0ea" + "6fb24d13d428965c44f1ac943c7bc77fa84711c91b41f5ee6d9a7d9091648a96" + "cc7c261d7fc5d964446d1e3dcc41d32ecaa8d7791b8462563fcf7f96cd1d11d4" + "34923e0150321356866f5bdafebc96f2661bfd3c1f104e96b6492cafcbe25fc6" + "ec0c92a3bbec7328e1905d5951fae04625a2452f596027a5d9c64eed55165c8a" + "23bc3f944b4fa9c7ad83ebc1777c7153d5de13d04c0a12e774b17906a62f5134" + "685c2de31da08bd04840299fd62d56ffe95248365034e7ba95961cebf0542b24", "b9f68b0996caf5135136b10b37fe5f81"); kat(poly1305, "e9c8c78bc0ad5751f094fd4657fe5ef2a3c232f6930eef3431cde76659f04210", "914e57a2745fd475d7b8f982483fe11a05d7b55853239112d5ae99616c718b3c" + "4a0c2d05e3ca1df509614c0fe051b414d404149ec422e0998e192e51518518c4" + "b8acd9e3e3ff9f3b4ef931d3052755785d38e75821ceefa7da0bfe3f1fb2dc6d" + "738e2a2332e53ce77d44547621bb7aa724dd8805c7c795088db865d6b13d9b3e" + "8acec846efb072d105ab6e599f8292a7601087e0ba13af9f503dcfd426e26e4d" + "fb22bf5a1ff1a82d67d9bd8871e6adc17aa39d221f2865f81da9ed566192c269" + "3c85f0442924e603b9ae54b88dd0f21e92eedc40c08dd484c552e297894eeee8" + "b5acc91d5ae16f56257bb0836b48e1a8fa72e83a8b10b7026a7f466c8b08eac5" + "4359b70e639117cf688e263b891f004db94d77941380f3ab0559538c9398c859" + "b76d2bbcd6b635e753160583e7adc263097a80520d003514e134a21597c1ec57" + "55da3a70acc6951b4d4d81e98b9eb962d9e3bc37d5e8ebd61e2a3f61cc452a65" + "56571e12c190d4e3d0f8cc61ffcb60324b4a6987e7375a832ff807682e0b4595" + "66ef1f765638f3d2e837ed43ce2c1c7837f271c866908d865c3d9174fd4f8056" + "265abfb88fbc207db7a12c0a0ad035e5a728725e98cb682d41fd0bcf3aef2fd7" + "ab261727f310fc7cf3b34286c9e9ee235995315167191f3b4d77e5642fb57dbd" + "fdb5ccadefc5d03866918ab1a3eff54b405d8946e2b0c2fa444d1b2be4c3d41d" + "990515e7534190d66d10e38c36c5d3df0315db85ba10c924bef97d1faa07a5f8" + "f04998a7d38689237a1912bea3f821357d8383d7c5cfa66ba5965b5a94bb702c" + "e6583e59879021139355c5b90e0f9cd13b34f3357ffde404bbf34c97f9fd55b5" + "53e42d8a6b370eded02c8a5221e15db701da56918412520e12fd1ef9f4748647" + "858488d5e0abd5b9e01457768907e1d24581f9591771304192711292e4025fce" + "bd92adb2297e9496852f80bd78578bbdb292ca209f7584ff76e9eb66ec8a111e" + "add30dc7ef364c4f1339312f226fe0cfa7a5b1602417e469cf2c8e3874c51232" + "00f2d90dbe7f3c3ff5c6c6484052a80eb6229a6ed6176ad600da185da624bea6", "c1de44dd8ea245ca43e5587460feb514"); } }