/*
* Copyright (C) 2007 Apple Inc. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE COMPUTER, INC. OR
* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
function sunspiderCompareResults(output1, output2)
{
var count1 = output1.length;
var count2 = output2.length;
var itemTotals1 = {};
itemTotals1.length = count1;
var total1 = 0;
var categoryTotals1 = {};
var testTotalsByCategory1 = {};
var mean1 = 0;
var categoryMeans1 = {};
var testMeansByCategory1 = {};
var stdDev1 = 0;
var categoryStdDevs1 = {};
var testStdDevsByCategory1 = {};
var stdErr1 = 0;
var categoryStdErrs1 = {};
var testStdErrsByCategory1 = {};
var itemTotals2 = {};
itemTotals2.length = count2;
var total2 = 0;
var categoryTotals2 = {};
var testTotalsByCategory2 = {};
var mean2 = 0;
var categoryMeans2 = {};
var testMeansByCategory2 = {};
var stdDev2 = 0;
var categoryStdDevs2 = {};
var testStdDevsByCategory2 = {};
var stdErr2 = 0;
var categoryStdErrs2 = {};
var testStdErrsByCategory2 = {};
function initialize()
{
itemTotals1 = {total: []};
for (var i = 0; i < categories.length; i++) {
var category = categories[i];
itemTotals1[category] = [];
categoryTotals1[category] = 0;
testTotalsByCategory1[category] = {};
categoryMeans1[category] = 0;
testMeansByCategory1[category] = {};
categoryStdDevs1[category] = 0;
testStdDevsByCategory1[category] = {};
categoryStdErrs1[category] = 0;
testStdErrsByCategory1[category] = {};
}
for (var i = 0; i < tests.length; i++) {
var test = tests[i];
itemTotals1[test] = [];
var category = test.replace(/-.*/, "");
testTotalsByCategory1[category][test] = 0;
testMeansByCategory1[category][test] = 0;
testStdDevsByCategory1[category][test] = 0;
testStdErrsByCategory1[category][test] = 0;
}
for (var i = 0; i < count1; i++) {
itemTotals1["total"][i] = 0;
for (var category in categoryTotals1) {
itemTotals1[category][i] = 0;
for (var test in testTotalsByCategory1[category]) {
itemTotals1[test][i] = 0;
}
}
}
itemTotals2 = {total: []};
for (var i = 0; i < categories.length; i++) {
var category = categories[i];
itemTotals2[category] = [];
categoryTotals2[category] = 0;
testTotalsByCategory2[category] = {};
categoryMeans2[category] = 0;
testMeansByCategory2[category] = {};
categoryStdDevs2[category] = 0;
testStdDevsByCategory2[category] = {};
categoryStdErrs2[category] = 0;
testStdErrsByCategory2[category] = {};
}
for (var i = 0; i < tests.length; i++) {
var test = tests[i];
itemTotals2[test] = [];
var category = test.replace(/-.*/, "");
testTotalsByCategory2[category][test] = 0;
testMeansByCategory2[category][test] = 0;
testStdDevsByCategory2[category][test] = 0;
testStdErrsByCategory2[category][test] = 0;
}
for (var i = 0; i < count2; i++) {
itemTotals2["total"][i] = 0;
for (var category in categoryTotals2) {
itemTotals2[category][i] = 0;
for (var test in testTotalsByCategory2[category]) {
itemTotals2[test][i] = 0;
}
}
}
}
function computeItemTotals(output, itemTotals)
{
for (var i = 0; i < output.length; i++) {
var result = output[i];
for (var test in result) {
var time = result[test];
var category = test.replace(/-.*/, "");
itemTotals["total"][i] += time;
itemTotals[category][i] += time;
itemTotals[test][i] += time;
}
}
}
function computeTotals(output, categoryTotals, testTotalsByCategory)
{
var total = 0;
for (var i = 0; i < output.length; i++) {
var result = output[i];
for (var test in result) {
var time = result[test];
var category = test.replace(/-.*/, "");
total += time;
categoryTotals[category] += time;
testTotalsByCategory[category][test] += time;
}
}
return total;
}
function computeMeans(count, total, categoryTotals, categoryMeans, testTotalsByCategory, testMeansByCategory)
{
var mean = total / count;
for (var category in categoryTotals) {
categoryMeans[category] = categoryTotals[category] / count;
for (var test in testTotalsByCategory[category]) {
testMeansByCategory[category][test] = testTotalsByCategory[category][test] / count;
}
}
return mean;
}
function standardDeviation(mean, items)
{
var deltaSquaredSum = 0;
for (var i = 0; i < items.length; i++) {
var delta = items[i] - mean;
deltaSquaredSum += delta * delta;
}
variance = deltaSquaredSum / (items.length - 1);
return Math.sqrt(variance);
}
function computeStdDevs(mean, itemTotals, categoryStdDevs, categoryMeans, testStdDevsByCategory, testMeansByCategory)
{
var stdDev = standardDeviation(mean, itemTotals["total"]);
for (var category in categoryStdDevs) {
categoryStdDevs[category] = standardDeviation(categoryMeans[category], itemTotals[category]);
}
for (var category in categoryStdDevs) {
for (var test in testStdDevsByCategory[category]) {
testStdDevsByCategory[category][test] = standardDeviation(testMeansByCategory[category][test], itemTotals[test]);
}
}
return stdDev;
}
function computeStdErrors(count, stdDev, categoryStdErrs, categoryStdDevs, testStdErrsByCategory, testStdDevsByCategory)
{
var sqrtCount = Math.sqrt(count);
var stdErr = stdDev / sqrtCount;
for (var category in categoryStdErrs) {
categoryStdErrs[category] = categoryStdDevs[category] / sqrtCount;
}
for (var category in categoryStdDevs) {
for (var test in testStdErrsByCategory[category]) {
testStdErrsByCategory[category][test] = testStdDevsByCategory[category][test] / sqrtCount;
}
}
return stdErr;
}
var tDistribution = [NaN, NaN, 12.71, 4.30, 3.18, 2.78, 2.57, 2.45, 2.36, 2.31, 2.26, 2.23, 2.20, 2.18, 2.16, 2.14, 2.13, 2.12, 2.11, 2.10, 2.09, 2.09, 2.08, 2.07, 2.07, 2.06, 2.06, 2.06, 2.05, 2.05, 2.05, 2.04, 2.04, 2.04, 2.03, 2.03, 2.03, 2.03, 2.03, 2.02, 2.02, 2.02, 2.02, 2.02, 2.02, 2.02, 2.01, 2.01, 2.01, 2.01, 2.01, 2.01, 2.01, 2.01, 2.01, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 2.00, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.99, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.98, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.97, 1.96];
var tMax = tDistribution.length;
var tLimit = 1.96;
function tDist(n)
{
if (n > tMax)
return tLimit;
return tDistribution[n];
}
function formatMean(meanWidth, mean, stdErr, count)
{
var meanString = mean.toFixed(1).toString();
while (meanString.length < meanWidth) {
meanString = " " + meanString;
}
var error = "+/- " + ((tDist(count) * stdErr / mean) * 100).toFixed(1) + "% ";
return meanString + "ms " + error;
}
function computeLabelWidth()
{
var width = "Total".length;
for (var category in categoryMeans1) {
if (category.length + 2 > width)
width = category.length + 2;
}
for (var i = 0; i < tests.length; i++) {
var shortName = tests[i].replace(/^[^-]*-/, "");
if (shortName.length + 4 > width)
width = shortName.length + 4;
}
return width;
}
function computeMeanWidth(mean, categoryMeans, testMeansByCategory)
{
var width = mean.toFixed(1).toString().length;
for (var category in categoryMeans) {
var candidate = categoryMeans[category].toFixed(1).toString().length;
if (candidate > width)
width = candidate;
for (var test in testMeansByCategory[category]) {
var candidate = testMeansByCategory[category][test].toFixed(1).toString().length;
if (candidate > width)
width = candidate;
}
}
return width;
}
function pad(str, n)
{
while (str.length < n) {
str += " ";
}
return str;
}
function resultLine(labelWidth, indent, label, meanWidth1, mean1, stdErr1, meanWidth2, mean2, stdErr2)
{
result = pad("", indent);
result += label + ": ";
result = pad(result, labelWidth + 2);
var t = (mean1 - mean2) / (Math.sqrt((stdErr1 * stdErr1) + (stdErr1 * stdErr2)));
var df = count1 + count2 - 2;
var statisticallySignificant = (Math.abs(t) > tDist(df+1));
var diff = mean2 - mean1;
var percentage = 100 * diff / mean1;
var isFaster = diff < 0;
var probablySame = (percentage < 0.1) && !statisticallySignificant;
var ratio = isFaster ? (mean1 / mean2) : (mean2 / mean1);
var fixedRatio = (ratio < 1.2) ? ratio.toFixed(3).toString() : ((ratio < 10) ? ratio.toFixed(2).toString() : ratio.toFixed(1).toString());
var formattedRatio = isFaster ? fixedRatio + "x as fast" : "*" + fixedRatio + "x as slow*";
var diffSummary;
var diffDetail;
if (probablySame) {
diffSummary = "-";
diffDetail = "";
} else if (!statisticallySignificant) {
diffSummary = "??";
diffDetail = " not conclusive: might be " + formattedRatio;
} else {
diffSummary = formattedRatio;
diffDetail = " significant";
}
return result + pad(diffSummary, 18) + formatMean(meanWidth1, mean1, stdErr1, count1) + " " + formatMean(meanWidth2, mean2, stdErr2, count2) + diffDetail;
}
function printOutput()
{
var labelWidth = computeLabelWidth();
var meanWidth1 = computeMeanWidth(mean1, categoryMeans1, testMeansByCategory1);
var meanWidth2 = computeMeanWidth(mean2, categoryMeans2, testMeansByCategory2);
print("\n");
var header = "TEST";
while (header.length < labelWidth)
header += " ";
header += " COMPARISON FROM TO DETAILS";
print(header);
print("");
print("=============================================================================");
print("");
print(resultLine(labelWidth, 0, "** TOTAL **", meanWidth1, mean1, stdErr1, meanWidth2, mean2, stdErr2));
print("");
print("=============================================================================");
for (var category in categoryMeans1) {
print("");
print(resultLine(labelWidth, 2, category,
meanWidth1, categoryMeans1[category], categoryStdErrs1[category],
meanWidth2, categoryMeans2[category], categoryStdErrs2[category]));
for (var test in testMeansByCategory1[category]) {
var shortName = test.replace(/^[^-]*-/, "");
print(resultLine(labelWidth, 4, shortName,
meanWidth1, testMeansByCategory1[category][test], testStdErrsByCategory1[category][test],
meanWidth2, testMeansByCategory2[category][test], testStdErrsByCategory2[category][test]));
}
}
}
initialize();
computeItemTotals(output1, itemTotals1);
computeItemTotals(output2, itemTotals2);
total1 = computeTotals(output1, categoryTotals1, testTotalsByCategory1);
total2 = computeTotals(output2, categoryTotals2, testTotalsByCategory2);
mean1 = computeMeans(count1, total1, categoryTotals1, categoryMeans1, testTotalsByCategory1, testMeansByCategory1);
mean2 = computeMeans(count2, total2, categoryTotals2, categoryMeans2, testTotalsByCategory2, testMeansByCategory2);
stdDev1 = computeStdDevs(mean1, itemTotals1, categoryStdDevs1, categoryMeans1, testStdDevsByCategory1, testMeansByCategory1);
stdDev2 = computeStdDevs(mean2, itemTotals2, categoryStdDevs2, categoryMeans2, testStdDevsByCategory2, testMeansByCategory2);
stdErr1 = computeStdErrors(count1, stdDev1, categoryStdErrs1, categoryStdDevs1, testStdErrsByCategory1, testStdDevsByCategory1);
stdErr2 = computeStdErrors(count2, stdDev2, categoryStdErrs2, categoryStdDevs2, testStdErrsByCategory2, testStdDevsByCategory2);
printOutput();
}