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/*
* Copyright (C) 2015 Linaro Limited. Ported from:
* https://github.com/WebKit/webkit/blob/master/PerformanceTests/SunSpider/tests/sunspider-1.0.2/math-spectral-norm.js
*
* Description: Martrix spectral norm calculation.
* Main Focus: Floating-Point operations.
*
*/
// The Great Computer Language Shootout
// http://shootout.alioth.debian.org/
//
// contributed by Ian Osgood
// http://benchmarksgame.alioth.debian.org/license.html (BSD 3-clause license)
// See NOTICE file for license.
package org.linaro.benchmarks.math;
import java.lang.Math;
import java.lang.System;
import org.openjdk.jmh.annotations.*;
import java.util.concurrent.TimeUnit;
@BenchmarkMode(Mode.AverageTime)
@OutputTimeUnit(TimeUnit.MICROSECONDS)
@State(Scope.Benchmark)
public class MathSpectralNorm {
private static final double SPECTRAL_NORM_EXPECTED = 5.086694231303284d;
private double aa(int i, int j) {
return 1.0 / ((i + j) * (i + j + 1) / 2 + i + 1);
}
private void au(double[] u, double[] v) {
for (int i = 0; i < u.length; ++i) {
double t = 0.0;
for (int j = 0; j < u.length; ++j) {
t += aa(i, j) * u[j];
}
v[i] = t;
}
}
private void atu(double[] u, double[] v) {
for (int i = 0; i < u.length; ++i) {
double t = 0.0;
for (int j = 0; j < u.length; ++j) {
t += aa(j, i) * u[j];
}
v[i] = t;
}
}
private void atAu(double[] u, double[] v, double[] w) {
au(u, w);
atu(w, v);
}
double spectralNorm(int n) {
double[] u = new double[n];
double[] v = new double[n];
double[] w = new double[n];
double vv;
double vBv;
vv = vBv = 0.0;
for (int i = 0; i < n; ++i) {
u[i] = 1.0;
}
for (int i = 0; i < 10; ++i) {
atAu(u, v, w);
atAu(v, u, w);
}
for (int i = 0; i < n; ++i) {
vBv += u[i] * v[i];
vv += v[i] * v[i];
}
return Math.sqrt(vBv / vv);
}
@Benchmark
public void jmhTimeMathSpectralNorm() {
for (int j = 6; j <= 48; j *= 2) {
spectralNorm(j);
}
}
}
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