2 * Copyright (C) 2007 Apple Inc. All rights reserved.
4 * Redistribution and use in source and binary forms, with or without
5 * modification, are permitted provided that the following conditions
7 * 1. Redistributions of source code must retain the above copyright
8 * notice, this list of conditions and the following disclaimer.
9 * 2. Redistributions in binary form must reproduce the above copyright
10 * notice, this list of conditions and the following disclaimer in the
11 * documentation and/or other materials provided with the distribution.
13 * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
14 * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
15 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
16 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE COMPUTER, INC. OR
17 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
18 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
19 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
20 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
21 * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
22 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
23 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26 var count1 = output1.length;
27 var count2 = output2.length;
30 itemTotals1.length = count1;
33 var categoryTotals1 = {};
34 var testTotalsByCategory1 = {};
37 var categoryMeans1 = {};
38 var testMeansByCategory1 = {};
41 var categoryStdDevs1 = {};
42 var testStdDevsByCategory1 = {};
45 var categoryStdErrs1 = {};
46 var testStdErrsByCategory1 = {};
49 itemTotals2.length = count2;
52 var categoryTotals2 = {};
53 var testTotalsByCategory2 = {};
56 var categoryMeans2 = {};
57 var testMeansByCategory2 = {};
60 var categoryStdDevs2 = {};
61 var testStdDevsByCategory2 = {};
64 var categoryStdErrs2 = {};
65 var testStdErrsByCategory2 = {};
69 itemTotals1 = {total: []};
71 for (var i = 0; i < categories.length; i++) {
72 var category = categories[i];
73 itemTotals1[category] = [];
74 categoryTotals1[category] = 0;
75 testTotalsByCategory1[category] = {};
76 categoryMeans1[category] = 0;
77 testMeansByCategory1[category] = {};
78 categoryStdDevs1[category] = 0;
79 testStdDevsByCategory1[category] = {};
80 categoryStdErrs1[category] = 0;
81 testStdErrsByCategory1[category] = {};
84 for (var i = 0; i < tests.length; i++) {
86 itemTotals1[test] = [];
87 var category = test.replace(/-.*/, "");
88 testTotalsByCategory1[category][test] = 0;
89 testMeansByCategory1[category][test] = 0;
90 testStdDevsByCategory1[category][test] = 0;
91 testStdErrsByCategory1[category][test] = 0;
94 for (var i = 0; i < count1; i++) {
95 itemTotals1["total"][i] = 0;
96 for (var category in categoryTotals1) {
97 itemTotals1[category][i] = 0;
98 for (var test in testTotalsByCategory1[category]) {
99 itemTotals1[test][i] = 0;
104 itemTotals2 = {total: []};
106 for (var i = 0; i < categories.length; i++) {
107 var category = categories[i];
108 itemTotals2[category] = [];
109 categoryTotals2[category] = 0;
110 testTotalsByCategory2[category] = {};
111 categoryMeans2[category] = 0;
112 testMeansByCategory2[category] = {};
113 categoryStdDevs2[category] = 0;
114 testStdDevsByCategory2[category] = {};
115 categoryStdErrs2[category] = 0;
116 testStdErrsByCategory2[category] = {};
119 for (var i = 0; i < tests.length; i++) {
121 itemTotals2[test] = [];
122 var category = test.replace(/-.*/, "");
123 testTotalsByCategory2[category][test] = 0;
124 testMeansByCategory2[category][test] = 0;
125 testStdDevsByCategory2[category][test] = 0;
126 testStdErrsByCategory2[category][test] = 0;
129 for (var i = 0; i < count2; i++) {
130 itemTotals2["total"][i] = 0;
131 for (var category in categoryTotals2) {
132 itemTotals2[category][i] = 0;
133 for (var test in testTotalsByCategory2[category]) {
134 itemTotals2[test][i] = 0;
141 function computeItemTotals(output, itemTotals)
143 for (var i = 0; i < output.length; i++) {
144 var result = output[i];
145 for (var test in result) {
146 var time = result[test];
147 var category = test.replace(/-.*/, "");
148 itemTotals["total"][i] += time;
149 itemTotals[category][i] += time;
150 itemTotals[test][i] += time;
155 function computeTotals(output, categoryTotals, testTotalsByCategory)
159 for (var i = 0; i < output.length; i++) {
160 var result = output[i];
161 for (var test in result) {
162 var time = result[test];
163 var category = test.replace(/-.*/, "");
165 categoryTotals[category] += time;
166 testTotalsByCategory[category][test] += time;
173 function computeMeans(count, total, categoryTotals, categoryMeans, testTotalsByCategory, testMeansByCategory)
175 var mean = total / count;
176 for (var category in categoryTotals) {
177 categoryMeans[category] = categoryTotals[category] / count;
178 for (var test in testTotalsByCategory[category]) {
179 testMeansByCategory[category][test] = testTotalsByCategory[category][test] / count;
185 function standardDeviation(mean, items)
187 var deltaSquaredSum = 0;
188 for (var i = 0; i < items.length; i++) {
189 var delta = items[i] - mean;
190 deltaSquaredSum += delta * delta;
192 variance = deltaSquaredSum / (items.length - 1);
193 return Math.sqrt(variance);
196 function computeStdDevs(mean, itemTotals, categoryStdDevs, categoryMeans, testStdDevsByCategory, testMeansByCategory)
198 var stdDev = standardDeviation(mean, itemTotals["total"]);
199 for (var category in categoryStdDevs) {
200 categoryStdDevs[category] = standardDeviation(categoryMeans[category], itemTotals[category]);
202 for (var category in categoryStdDevs) {
203 for (var test in testStdDevsByCategory[category]) {
204 testStdDevsByCategory[category][test] = standardDeviation(testMeansByCategory[category][test], itemTotals[test]);
210 function computeStdErrors(count, stdDev, categoryStdErrs, categoryStdDevs, testStdErrsByCategory, testStdDevsByCategory)
212 var sqrtCount = Math.sqrt(count);
214 var stdErr = stdDev / sqrtCount;
215 for (var category in categoryStdErrs) {
216 categoryStdErrs[category] = categoryStdDevs[category] / sqrtCount;
218 for (var category in categoryStdDevs) {
219 for (var test in testStdErrsByCategory[category]) {
220 testStdErrsByCategory[category][test] = testStdDevsByCategory[category][test] / sqrtCount;
227 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];
228 var tMax = tDistribution.length;
235 return tDistribution[n];
239 function formatMean(meanWidth, mean, stdErr, count)
241 var meanString = mean.toFixed(1).toString();
242 while (meanString.length < meanWidth) {
243 meanString = " " + meanString;
246 var error = "+/- " + ((tDist(count) * stdErr / mean) * 100).toFixed(1) + "% ";
248 return meanString + "ms " + error;
251 function computeLabelWidth()
253 var width = "Total".length;
254 for (var category in categoryMeans1) {
255 if (category.length + 2 > width)
256 width = category.length + 2;
258 for (var i = 0; i < tests.length; i++) {
259 var shortName = tests[i].replace(/^[^-]*-/, "");
260 if (shortName.length + 4 > width)
261 width = shortName.length + 4;
267 function computeMeanWidth(mean, categoryMeans, testMeansByCategory)
269 var width = mean.toFixed(1).toString().length;
270 for (var category in categoryMeans) {
271 var candidate = categoryMeans[category].toFixed(1).toString().length;
272 if (candidate > width)
274 for (var test in testMeansByCategory[category]) {
275 var candidate = testMeansByCategory[category][test].toFixed(1).toString().length;
276 if (candidate > width)
286 while (str.length < n) {
292 function resultLine(labelWidth, indent, label, meanWidth1, mean1, stdErr1, meanWidth2, mean2, stdErr2)
294 result = pad("", indent);
295 result += label + ": ";
296 result = pad(result, labelWidth + 2);
298 var t = (mean1 - mean2) / (Math.sqrt((stdErr1 * stdErr1) + (stdErr1 * stdErr2)));
299 var df = count1 + count2 - 2;
301 var statisticallySignificant = (Math.abs(t) > tDist(df+1));
302 var diff = mean2 - mean1;
303 var percentage = 100 * diff / mean1;
304 var isFaster = diff < 0;
305 var probablySame = (percentage < 0.1) && !statisticallySignificant;
313 } else if (!statisticallySignificant) {
315 diffDetail = " not conclusive: might be " + Math.abs(percentage).toFixed(1).toString() + "% ";
316 diffDetail += (isFaster ? "faster" : "*slower*");
318 diffSummary = Math.abs(percentage).toFixed(1).toString() + "% " + (isFaster ? "faster" : "*slower*");
319 diffDetail = " significant";
322 return result + pad(diffSummary, 16) + formatMean(meanWidth1, mean1, stdErr1, count1) + " " + formatMean(meanWidth2, mean2, stdErr2, count2) + diffDetail;
325 function printOutput()
327 var labelWidth = computeLabelWidth();
328 var meanWidth1 = computeMeanWidth(mean1, categoryMeans1, testMeansByCategory1);
329 var meanWidth2 = computeMeanWidth(mean2, categoryMeans2, testMeansByCategory2);
333 while (header.length < labelWidth)
335 header += " COMPARISON FROM TO DETAILS";
338 print("=============================================================================");
340 print(resultLine(labelWidth, 0, "** TOTAL **", meanWidth1, mean1, stdErr1, meanWidth2, mean2, stdErr2));
342 print("=============================================================================");
344 for (var category in categoryMeans1) {
346 print(resultLine(labelWidth, 2, category,
347 meanWidth1, categoryMeans1[category], categoryStdErrs1[category],
348 meanWidth2, categoryMeans2[category], categoryStdErrs2[category]));
349 for (var test in testMeansByCategory1[category]) {
350 var shortName = test.replace(/^[^-]*-/, "");
351 print(resultLine(labelWidth, 4, shortName,
352 meanWidth1, testMeansByCategory1[category][test], testStdErrsByCategory1[category][test],
353 meanWidth2, testMeansByCategory2[category][test], testStdErrsByCategory2[category][test]));
360 computeItemTotals(output1, itemTotals1);
361 computeItemTotals(output2, itemTotals2);
363 total1 = computeTotals(output1, categoryTotals1, testTotalsByCategory1);
364 total2 = computeTotals(output2, categoryTotals2, testTotalsByCategory2);
366 mean1 = computeMeans(count1, total1, categoryTotals1, categoryMeans1, testTotalsByCategory1, testMeansByCategory1);
367 mean2 = computeMeans(count2, total2, categoryTotals2, categoryMeans2, testTotalsByCategory2, testMeansByCategory2);
369 stdDev1 = computeStdDevs(mean1, itemTotals1, categoryStdDevs1, categoryMeans1, testStdDevsByCategory1, testMeansByCategory1);
370 stdDev2 = computeStdDevs(mean2, itemTotals2, categoryStdDevs2, categoryMeans2, testStdDevsByCategory2, testMeansByCategory2);
372 stdErr1 = computeStdErrors(count1, stdDev1, categoryStdErrs1, categoryStdDevs1, testStdErrsByCategory1, testStdDevsByCategory1);
373 stdErr2 = computeStdErrors(count2, stdDev2, categoryStdErrs2, categoryStdDevs2, testStdErrsByCategory2, testStdDevsByCategory2);