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| 1 | +/* |
| 2 | + * Copyright (c) 2021, Oracle and/or its affiliates. All rights reserved. |
| 3 | + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. |
| 4 | + * |
| 5 | + * This code is free software; you can redistribute it and/or modify it |
| 6 | + * under the terms of the GNU General Public License version 2 only, as |
| 7 | + * published by the Free Software Foundation. Oracle designates this |
| 8 | + * particular file as subject to the "Classpath" exception as provided |
| 9 | + * by Oracle in the LICENSE file that accompanied this code. |
| 10 | + * |
| 11 | + * This code is distributed in the hope that it will be useful, but WITHOUT |
| 12 | + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
| 13 | + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
| 14 | + * version 2 for more details (a copy is included in the LICENSE file that |
| 15 | + * accompanied this code). |
| 16 | + * |
| 17 | + * You should have received a copy of the GNU General Public License version |
| 18 | + * 2 along with this work; if not, write to the Free Software Foundation, |
| 19 | + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
| 20 | + * |
| 21 | + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
| 22 | + * or visit www.oracle.com if you need additional information or have any |
| 23 | + * questions. |
| 24 | + */ |
| 25 | +package micro.benchmarks; |
| 26 | + |
| 27 | +import org.openjdk.jmh.annotations.Benchmark; |
| 28 | +import org.openjdk.jmh.infra.Blackhole; |
| 29 | + |
| 30 | +public class SignalCorrelationBenchmark { |
| 31 | + /** Approximate {@code sin(i / 1000)}. */ |
| 32 | + public static double sin(int i) { |
| 33 | + double x = i / 1000.0; |
| 34 | + double term3 = (x * x * x) / (3 * 2 * 1); |
| 35 | + double term5 = (x * x * x * x * x) / (5 * 4 * 3 * 2 * 1); |
| 36 | + return x - term3 + term5; |
| 37 | + } |
| 38 | + |
| 39 | + public static double[] sinTable(int n) { |
| 40 | + double[] table = new double[n]; |
| 41 | + for (int i = 0; i < n; i++) { |
| 42 | + table[i] = sin(i); |
| 43 | + } |
| 44 | + return table; |
| 45 | + } |
| 46 | + |
| 47 | + /** Approximate {@code cos(i / 1000)}. */ |
| 48 | + public static double cos(int i) { |
| 49 | + double x = i / 1000.0; |
| 50 | + double term2 = (x * x) / (2 * 1); |
| 51 | + double term4 = (x * x * x * x) / (4 * 3 * 2 * 1); |
| 52 | + return 1 - term2 + term4; |
| 53 | + } |
| 54 | + |
| 55 | + public static double[] cosTable(int n) { |
| 56 | + double[] table = new double[n]; |
| 57 | + for (int i = 0; i < n; i++) { |
| 58 | + table[i] = cos(i); |
| 59 | + } |
| 60 | + return table; |
| 61 | + } |
| 62 | + |
| 63 | + public static double correlate(double[] a, double[] b) { |
| 64 | + double correlation = 0.0; |
| 65 | + for (int i = 0; i < a.length; i++) { |
| 66 | + correlation += a[i] * b[i]; |
| 67 | + } |
| 68 | + return correlation; |
| 69 | + } |
| 70 | + |
| 71 | + public static double correlateUnrolled(double[] a, double[] b) { |
| 72 | + if (a.length != b.length) { |
| 73 | + throw new IllegalArgumentException(); |
| 74 | + } |
| 75 | + double[] partial = new double[4]; |
| 76 | + for (int i = 0; i + 3 < a.length; i += 4) { |
| 77 | + partial[0] += a[i + 0] * b[i + 0]; |
| 78 | + partial[1] += a[i + 1] * b[i + 1]; |
| 79 | + partial[2] += a[i + 2] * b[i + 2]; |
| 80 | + partial[3] += a[i + 3] * b[i + 3]; |
| 81 | + } |
| 82 | + for (int i = a.length & ~0b11; i < a.length; ++i) { |
| 83 | + partial[0] += a[i] * b[i]; |
| 84 | + } |
| 85 | + double correlation = partial[0] + partial[1] + partial[2] + partial[3]; |
| 86 | + return correlation; |
| 87 | + } |
| 88 | + |
| 89 | + @Benchmark |
| 90 | + public void correlateBench(Blackhole bh) { |
| 91 | + int n = 10_000_000; |
| 92 | + for (int j = 0; j < 10; j++) { |
| 93 | + double[] sin = sinTable(n); |
| 94 | + double[] cos = cosTable(n); |
| 95 | + |
| 96 | + double sinSin = correlate(sin, sin); |
| 97 | + double sinCos = correlate(sin, cos); |
| 98 | + double cosSin = correlate(cos, sin); |
| 99 | + double cosCos = correlate(cos, cos); |
| 100 | + |
| 101 | + double sinSinNormalized = sinSin / sinSin; |
| 102 | + double sinCosNormalized = sinCos / Math.sqrt(sinSin * cosCos); |
| 103 | + double cosSinNormalized = cosSin / Math.sqrt(cosCos * sinSin); |
| 104 | + double cosCosNormalized = cosCos / cosCos; |
| 105 | + |
| 106 | + bh.consume(sinSinNormalized); |
| 107 | + bh.consume(sinCosNormalized); |
| 108 | + bh.consume(cosSinNormalized); |
| 109 | + bh.consume(cosCosNormalized); |
| 110 | + } |
| 111 | + } |
| 112 | + |
| 113 | + @Benchmark |
| 114 | + public void unrolledCorrelateBench(Blackhole bh) { |
| 115 | + int n = 10_000_000; |
| 116 | + for (int j = 0; j < 10; j++) { |
| 117 | + double[] sin = sinTable(n); |
| 118 | + double[] cos = cosTable(n); |
| 119 | + |
| 120 | + double sinSin = correlateUnrolled(sin, sin); |
| 121 | + double sinCos = correlateUnrolled(sin, cos); |
| 122 | + double cosSin = correlateUnrolled(cos, sin); |
| 123 | + double cosCos = correlateUnrolled(cos, cos); |
| 124 | + |
| 125 | + double sinSinNormalized = sinSin / sinSin; |
| 126 | + double sinCosNormalized = sinCos / Math.sqrt(sinSin * cosCos); |
| 127 | + double cosSinNormalized = cosSin / Math.sqrt(cosCos * sinSin); |
| 128 | + double cosCosNormalized = cosCos / cosCos; |
| 129 | + |
| 130 | + bh.consume(sinSinNormalized); |
| 131 | + bh.consume(sinCosNormalized); |
| 132 | + bh.consume(cosSinNormalized); |
| 133 | + bh.consume(cosCosNormalized); |
| 134 | + } |
| 135 | + } |
| 136 | +} |
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