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-#!/usr/bin/python
-
-# Script to statistically compare two sets of log files with -ftime-report
-# output embedded within them.
-
-# Contributed by Lawrence Crowl <crowl@google.com>
-#
-# Copyright (C) 2012 Free Software Foundation, Inc.
-#
-# This file is part of GCC.
-#
-# GCC is free software; you can redistribute it and/or modify
-# it under the terms of the GNU General Public License as published by
-# the Free Software Foundation; either version 3, or (at your option)
-# any later version.
-#
-# GCC 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 for more details.
-#
-# You should have received a copy of the GNU General Public License
-# along with GCC; see the file COPYING. If not, write to
-# the Free Software Foundation, 51 Franklin Street, Fifth Floor,
-# Boston, MA 02110-1301, USA.
-
-
-""" Compare two sets of compile-time performance numbers.
-
-The intent of this script is to compare compile-time performance of two
-different versions of the compiler. Each version of the compiler must be
-run at least three times with the -ftime-report option. Each log file
-represents a data point, or trial. The set of trials for each compiler
-version constitutes a sample. The ouput of the script is a description
-of the statistically significant difference between the two version of
-the compiler.
-
-The parameters to the script are:
-
- Two file patterns that each match a set of log files. You will probably
- need to quote the patterns before passing them to the script.
-
- Each pattern corresponds to a version of the compiler.
-
- A regular expression that finds interesting lines in the log files.
- If you want to match the beginning of the line, you will need to add
- the ^ operator. The filtering uses Python regular expression syntax.
-
- The default is "TOTAL".
-
- All of the interesting lines in a single log file are summed to produce
- a single trial (data point).
-
- A desired statistical confidence within the range 60% to 99.9%. Due to
- the implementation, this confidence will be rounded down to one of 60%,
- 70%, 80%, 90%, 95%, 98%, 99%, 99.5%, 99.8%, and 99.9%.
-
- The default is 95.
-
- If the computed confidence is lower than desired, the script will
- estimate the number of trials needed to meet the desired confidence.
- This estimate is not very good, as the variance tends to change as
- you increase the number of trials.
-
-The most common use of the script is total compile-time comparison between
-logfiles stored in different directories.
-
-compare_two_ftime_report_sets "Log1/*perf" "Log2/*perf"
-
-One can also look at parsing time, but expecting a lower confidence.
-
-compare_two_ftime_report_sets "Log1/*perf" "Log2/*perf" "^phase parsing" 75
-
-"""
-
-
-import os
-import sys
-import fnmatch
-import glob
-import re
-import math
-
-
-####################################################################### Utility
-
-
-def divide(dividend, divisor):
- """ Return the quotient, avoiding division by zero.
- """
- if divisor == 0:
- return sys.float_info.max
- else:
- return dividend / divisor
-
-
-################################################################# File and Line
-
-
-# Should you repurpose this script, this code might help.
-#
-#def find_files(topdir, filepat):
-# """ Find a set of file names, under a given directory,
-# matching a Unix shell file pattern.
-# Returns an iterator over the file names.
-# """
-# for path, dirlist, filelist in os.walk(topdir):
-# for name in fnmatch.filter(filelist, filepat):
-# yield os.path.join(path, name)
-
-
-def match_files(fileglob):
- """ Find a set of file names matching a Unix shell glob pattern.
- Returns an iterator over the file names.
- """
- return glob.iglob(os.path.expanduser(fileglob))
-
-
-def lines_in_file(filename):
- """ Return an iterator over lines in the named file. """
- filedesc = open(filename, "r")
- for line in filedesc:
- yield line
- filedesc.close()
-
-
-def lines_containing_pattern(pattern, lines):
- """ Find lines by a Python regular-expression.
- Returns an iterator over lines containing the expression.
- """
- parser = re.compile(pattern)
- for line in lines:
- if parser.search(line):
- yield line
-
-
-############################################################# Number Formatting
-
-
-def strip_redundant_digits(numrep):
- if numrep.find(".") == -1:
- return numrep
- return numrep.rstrip("0").rstrip(".")
-
-
-def text_number(number):
- return strip_redundant_digits("%g" % number)
-
-
-def round_significant(digits, number):
- if number == 0:
- return 0
- magnitude = abs(number)
- significance = math.floor(math.log10(magnitude))
- least_position = int(significance - digits + 1)
- return round(number, -least_position)
-
-
-def text_significant(digits, number):
- return text_number(round_significant(digits, number))
-
-
-def text_percent(number):
- return text_significant(3, number*100) + "%"
-
-
-################################################################ T-Distribution
-
-
-# This section of code provides functions for using Student's t-distribution.
-
-
-# The functions are implemented using table lookup
-# to facilitate implementation of inverse functions.
-
-
-# The table is comprised of row 0 listing the alpha values,
-# column 0 listing the degree-of-freedom values,
-# and the other entries listing the corresponding t-distribution values.
-
-t_dist_table = [
-[ 0, 0.200, 0.150, 0.100, 0.050, 0.025, 0.010, 0.005, .0025, 0.001, .0005],
-[ 1, 1.376, 1.963, 3.078, 6.314, 12.71, 31.82, 63.66, 127.3, 318.3, 636.6],
-[ 2, 1.061, 1.386, 1.886, 2.920, 4.303, 6.965, 9.925, 14.09, 22.33, 31.60],
-[ 3, 0.978, 1.250, 1.638, 2.353, 3.182, 4.541, 5.841, 7.453, 10.21, 12.92],
-[ 4, 0.941, 1.190, 1.533, 2.132, 2.776, 3.747, 4.604, 5.598, 7.173, 8.610],
-[ 5, 0.920, 1.156, 1.476, 2.015, 2.571, 3.365, 4.032, 4.773, 5.894, 6.869],
-[ 6, 0.906, 1.134, 1.440, 1.943, 2.447, 3.143, 3.707, 4.317, 5.208, 5.959],
-[ 7, 0.896, 1.119, 1.415, 1.895, 2.365, 2.998, 3.499, 4.029, 4.785, 5.408],
-[ 8, 0.889, 1.108, 1.397, 1.860, 2.306, 2.896, 3.355, 3.833, 4.501, 5.041],
-[ 9, 0.883, 1.100, 1.383, 1.833, 2.262, 2.821, 3.250, 3.690, 4.297, 4.781],
-[ 10, 0.879, 1.093, 1.372, 1.812, 2.228, 2.764, 3.169, 3.581, 4.144, 4.587],
-[ 11, 0.876, 1.088, 1.363, 1.796, 2.201, 2.718, 3.106, 3.497, 4.025, 4.437],
-[ 12, 0.873, 1.083, 1.356, 1.782, 2.179, 2.681, 3.055, 3.428, 3.930, 4.318],
-[ 13, 0.870, 1.079, 1.350, 1.771, 2.160, 2.650, 3.012, 3.372, 3.852, 4.221],
-[ 14, 0.868, 1.076, 1.345, 1.761, 2.145, 2.624, 2.977, 3.326, 3.787, 4.140],
-[ 15, 0.866, 1.074, 1.341, 1.753, 2.131, 2.602, 2.947, 3.286, 3.733, 4.073],
-[ 16, 0.865, 1.071, 1.337, 1.746, 2.120, 2.583, 2.921, 3.252, 3.686, 4.015],
-[ 17, 0.863, 1.069, 1.333, 1.740, 2.110, 2.567, 2.898, 3.222, 3.646, 3.965],
-[ 18, 0.862, 1.067, 1.330, 1.734, 2.101, 2.552, 2.878, 3.197, 3.610, 3.922],
-[ 19, 0.861, 1.066, 1.328, 1.729, 2.093, 2.539, 2.861, 3.174, 3.579, 3.883],
-[ 20, 0.860, 1.064, 1.325, 1.725, 2.086, 2.528, 2.845, 3.153, 3.552, 3.850],
-[ 21, 0.859, 1.063, 1.323, 1.721, 2.080, 2.518, 2.831, 3.135, 3.527, 3.819],
-[ 22, 0.858, 1.061, 1.321, 1.717, 2.074, 2.508, 2.819, 3.119, 3.505, 3.792],
-[ 23, 0.858, 1.060, 1.319, 1.714, 2.069, 2.500, 2.807, 3.104, 3.485, 3.768],
-[ 24, 0.857, 1.059, 1.318, 1.711, 2.064, 2.492, 2.797, 3.091, 3.467, 3.745],
-[ 25, 0.856, 1.058, 1.316, 1.708, 2.060, 2.485, 2.787, 3.078, 3.450, 3.725],
-[ 26, 0.856, 1.058, 1.315, 1.706, 2.056, 2.479, 2.779, 3.067, 3.435, 3.707],
-[ 27, 0.855, 1.057, 1.314, 1.703, 2.052, 2.473, 2.771, 3.057, 3.421, 3.689],
-[ 28, 0.855, 1.056, 1.313, 1.701, 2.048, 2.467, 2.763, 3.047, 3.408, 3.674],
-[ 29, 0.854, 1.055, 1.311, 1.699, 2.045, 2.462, 2.756, 3.038, 3.396, 3.660],
-[ 30, 0.854, 1.055, 1.310, 1.697, 2.042, 2.457, 2.750, 3.030, 3.385, 3.646],
-[ 31, 0.853, 1.054, 1.309, 1.696, 2.040, 2.453, 2.744, 3.022, 3.375, 3.633],
-[ 32, 0.853, 1.054, 1.309, 1.694, 2.037, 2.449, 2.738, 3.015, 3.365, 3.622],
-[ 33, 0.853, 1.053, 1.308, 1.692, 2.035, 2.445, 2.733, 3.008, 3.356, 3.611],
-[ 34, 0.852, 1.052, 1.307, 1.691, 2.032, 2.441, 2.728, 3.002, 3.348, 3.601],
-[ 35, 0.852, 1.052, 1.306, 1.690, 2.030, 2.438, 2.724, 2.996, 3.340, 3.591],
-[ 36, 0.852, 1.052, 1.306, 1.688, 2.028, 2.434, 2.719, 2.990, 3.333, 3.582],
-[ 37, 0.851, 1.051, 1.305, 1.687, 2.026, 2.431, 2.715, 2.985, 3.326, 3.574],
-[ 38, 0.851, 1.051, 1.304, 1.686, 2.024, 2.429, 2.712, 2.980, 3.319, 3.566],
-[ 39, 0.851, 1.050, 1.304, 1.685, 2.023, 2.426, 2.708, 2.976, 3.313, 3.558],
-[ 40, 0.851, 1.050, 1.303, 1.684, 2.021, 2.423, 2.704, 2.971, 3.307, 3.551],
-[ 50, 0.849, 1.047, 1.299, 1.676, 2.009, 2.403, 2.678, 2.937, 3.261, 3.496],
-[ 60, 0.848, 1.045, 1.296, 1.671, 2.000, 2.390, 2.660, 2.915, 3.232, 3.460],
-[ 80, 0.846, 1.043, 1.292, 1.664, 1.990, 2.374, 2.639, 2.887, 3.195, 3.416],
-[100, 0.845, 1.042, 1.290, 1.660, 1.984, 2.364, 2.626, 2.871, 3.174, 3.390],
-[150, 0.844, 1.040, 1.287, 1.655, 1.976, 2.351, 2.609, 2.849, 3.145, 3.357] ]
-
-
-# The functions use the following parameter name conventions:
-# alpha - the alpha parameter
-# degree - the degree-of-freedom parameter
-# value - the t-distribution value for some alpha and degree
-# deviations - a confidence interval radius,
-# expressed as a multiple of the standard deviation of the sample
-# ax - the alpha parameter index
-# dx - the degree-of-freedom parameter index
-
-# The interface to this section of code is the last three functions,
-# find_t_dist_value, find_t_dist_alpha, and find_t_dist_degree.
-
-
-def t_dist_alpha_at_index(ax):
- if ax == 0:
- return .25 # effectively no confidence
- else:
- return t_dist_table[0][ax]
-
-
-def t_dist_degree_at_index(dx):
- return t_dist_table[dx][0]
-
-
-def t_dist_value_at_index(ax, dx):
- return t_dist_table[dx][ax]
-
-
-def t_dist_index_of_degree(degree):
- limit = len(t_dist_table) - 1
- dx = 0
- while dx < limit and t_dist_degree_at_index(dx+1) <= degree:
- dx += 1
- return dx
-
-
-def t_dist_index_of_alpha(alpha):
- limit = len(t_dist_table[0]) - 1
- ax = 0
- while ax < limit and t_dist_alpha_at_index(ax+1) >= alpha:
- ax += 1
- return ax
-
-
-def t_dist_index_of_value(dx, value):
- limit = len(t_dist_table[dx]) - 1
- ax = 0
- while ax < limit and t_dist_value_at_index(ax+1, dx) < value:
- ax += 1
- return ax
-
-
-def t_dist_value_within_deviations(dx, ax, deviations):
- degree = t_dist_degree_at_index(dx)
- count = degree + 1
- root = math.sqrt(count)
- value = t_dist_value_at_index(ax, dx)
- nominal = value / root
- comparison = nominal <= deviations
- return comparison
-
-
-def t_dist_index_of_degree_for_deviations(ax, deviations):
- limit = len(t_dist_table) - 1
- dx = 1
- while dx < limit and not t_dist_value_within_deviations(dx, ax, deviations):
- dx += 1
- return dx
-
-
-def find_t_dist_value(alpha, degree):
- """ Return the t-distribution value.
- The parameters are alpha and degree of freedom.
- """
- dx = t_dist_index_of_degree(degree)
- ax = t_dist_index_of_alpha(alpha)
- return t_dist_value_at_index(ax, dx)
-
-
-def find_t_dist_alpha(value, degree):
- """ Return the alpha.
- The parameters are the t-distribution value for a given degree of freedom.
- """
- dx = t_dist_index_of_degree(degree)
- ax = t_dist_index_of_value(dx, value)
- return t_dist_alpha_at_index(ax)
-
-
-def find_t_dist_degree(alpha, deviations):
- """ Return the degree-of-freedom.
- The parameters are the desired alpha and the number of standard deviations
- away from the mean that the degree should handle.
- """
- ax = t_dist_index_of_alpha(alpha)
- dx = t_dist_index_of_degree_for_deviations(ax, deviations)
- return t_dist_degree_at_index(dx)
-
-
-############################################################## Core Statistical
-
-
-# This section provides the core statistical classes and functions.
-
-
-class Accumulator:
-
- """ An accumulator for statistical information using arithmetic mean. """
-
- def __init__(self):
- self.count = 0
- self.mean = 0
- self.sumsqdiff = 0
-
- def insert(self, value):
- self.count += 1
- diff = value - self.mean
- self.mean += diff / self.count
- self.sumsqdiff += (self.count - 1) * diff * diff / self.count
-
-
-def fill_accumulator_from_values(values):
- accumulator = Accumulator()
- for value in values:
- accumulator.insert(value)
- return accumulator
-
-
-def alpha_from_confidence(confidence):
- scrubbed = min(99.99, max(confidence, 60))
- return (100.0 - scrubbed) / 200.0
-
-
-def confidence_from_alpha(alpha):
- return 100 - 200 * alpha
-
-
-class Sample:
-
- """ A description of a sample using an arithmetic mean. """
-
- def __init__(self, accumulator, alpha):
- if accumulator.count < 3:
- sys.exit("Samples must contain three trials.")
- self.count = accumulator.count
- self.mean = accumulator.mean
- variance = accumulator.sumsqdiff / (self.count - 1)
- self.deviation = math.sqrt(variance)
- self.error = self.deviation / math.sqrt(self.count)
- self.alpha = alpha
- self.radius = find_t_dist_value(alpha, self.count - 1) * self.error
-
- def alpha_for_radius(self, radius):
- return find_t_dist_alpha(divide(radius, self.error), self.count)
-
- def degree_for_radius(self, radius):
- return find_t_dist_degree(self.alpha, divide(radius, self.deviation))
-
- def __str__(self):
- text = "trial count is " + text_number(self.count)
- text += ", mean is " + text_number(self.mean)
- text += " (" + text_number(confidence_from_alpha(self.alpha)) +"%"
- text += " confidence in " + text_number(self.mean - self.radius)
- text += " to " + text_number(self.mean + self.radius) + ")"
- text += ",\nstd.deviation is " + text_number(self.deviation)
- text += ", std.error is " + text_number(self.error)
- return text
-
-
-def sample_from_values(values, alpha):
- accumulator = fill_accumulator_from_values(values)
- return Sample(accumulator, alpha)
-
-
-class Comparison:
-
- """ A comparison of two samples using arithmetic means. """
-
- def __init__(self, first, second, alpha):
- if first.mean > second.mean:
- self.upper = first
- self.lower = second
- self.larger = "first"
- else:
- self.upper = second
- self.lower = first
- self.larger = "second"
- self.a_wanted = alpha
- radius = self.upper.mean - self.lower.mean
- rising = self.lower.alpha_for_radius(radius)
- falling = self.upper.alpha_for_radius(radius)
- self.a_actual = max(rising, falling)
- rising = self.lower.degree_for_radius(radius)
- falling = self.upper.degree_for_radius(radius)
- self.count = max(rising, falling) + 1
-
- def __str__(self):
- message = "The " + self.larger + " sample appears to be "
- change = divide(self.upper.mean, self.lower.mean) - 1
- message += text_percent(change) + " larger,\n"
- confidence = confidence_from_alpha(self.a_actual)
- if confidence >= 60:
- message += "with " + text_number(confidence) + "% confidence"
- message += " of being larger."
- else:
- message += "but with no confidence of actually being larger."
- if self.a_actual > self.a_wanted:
- confidence = confidence_from_alpha(self.a_wanted)
- message += "\nTo reach " + text_number(confidence) + "% confidence,"
- if self.count < 100:
- message += " you need roughly " + text_number(self.count) + " trials,\n"
- message += "assuming the standard deviation is stable, which is iffy."
- else:
- message += "\nyou need to reduce the larger deviation"
- message += " or increase the number of trials."
- return message
-
-
-############################################################ Single Value Files
-
-
-# This section provides functions to compare two raw data files,
-# each containing a whole sample consisting of single number per line.
-
-
-# Should you repurpose this script, this code might help.
-#
-#def values_from_data_file(filename):
-# for line in lines_in_file(filename):
-# yield float(line)
-
-
-# Should you repurpose this script, this code might help.
-#
-#def sample_from_data_file(filename, alpha):
-# confidence = confidence_from_alpha(alpha)
-# text = "\nArithmetic sample for data file\n\"" + filename + "\""
-# text += " with desired confidence " + text_number(confidence) + " is "
-# print text
-# values = values_from_data_file(filename)
-# sample = sample_from_values(values, alpha)
-# print sample
-# return sample
-
-
-# Should you repurpose this script, this code might help.
-#
-#def compare_two_data_files(filename1, filename2, confidence):
-# alpha = alpha_from_confidence(confidence)
-# sample1 = sample_from_data_file(filename1, alpha)
-# sample2 = sample_from_data_file(filename2, alpha)
-# print
-# print Comparison(sample1, sample2, alpha)
-
-
-# Should you repurpose this script, this code might help.
-#
-#def command_two_data_files():
-# argc = len(sys.argv)
-# if argc < 2 or 4 < argc:
-# message = "usage: " + sys.argv[0]
-# message += " file-name file-name [confidence]"
-# print message
-# else:
-# filename1 = sys.argv[1]
-# filename2 = sys.argv[2]
-# if len(sys.argv) >= 4:
-# confidence = int(sys.argv[3])
-# else:
-# confidence = 95
-# compare_two_data_files(filename1, filename2, confidence)
-
-
-############################################### -ftime-report TimeVar Log Files
-
-
-# This section provides functions to compare two sets of -ftime-report log
-# files. Each set is a sample, where each data point is derived from the
-# sum of values in a single log file.
-
-
-label = r"^ *([^:]*[^: ]) *:"
-number = r" *([0-9.]*) *"
-percent = r"\( *[0-9]*\%\)"
-numpct = number + percent
-total_format = label + number + number + number + number + " kB\n"
-total_parser = re.compile(total_format)
-tmvar_format = label + numpct + " usr" + numpct + " sys"
-tmvar_format += numpct + " wall" + number + " kB " + percent + " ggc\n"
-tmvar_parser = re.compile(tmvar_format)
-replace = r"\2\t\3\t\4\t\5\t\1"
-
-
-def split_time_report(lines, pattern):
- if pattern == "TOTAL":
- parser = total_parser
- else:
- parser = tmvar_parser
- for line in lines:
- modified = parser.sub(replace, line)
- if modified != line:
- yield re.split("\t", modified)
-
-
-def extract_cpu_time(tvtuples):
- for tuple in tvtuples:
- yield float(tuple[0]) + float(tuple[1])
-
-
-def sum_values(values):
- sum = 0
- for value in values:
- sum += value
- return sum
-
-
-def extract_time_for_timevar_log(filename, pattern):
- lines = lines_in_file(filename)
- tmvars = lines_containing_pattern(pattern, lines)
- tuples = split_time_report(tmvars, pattern)
- times = extract_cpu_time(tuples)
- return sum_values(times)
-
-
-def extract_times_for_timevar_logs(filelist, pattern):
- for filename in filelist:
- yield extract_time_for_timevar_log(filename, pattern)
-
-
-def sample_from_timevar_logs(fileglob, pattern, alpha):
- confidence = confidence_from_alpha(alpha)
- text = "\nArithmetic sample for timevar log files\n\"" + fileglob + "\""
- text += "\nand selecting lines containing \"" + pattern + "\""
- text += " with desired confidence " + text_number(confidence) + " is "
- print text
- filelist = match_files(fileglob)
- values = extract_times_for_timevar_logs(filelist, pattern)
- sample = sample_from_values(values, alpha)
- print sample
- return sample
-
-
-def compare_two_timevar_logs(fileglob1, fileglob2, pattern, confidence):
- alpha = alpha_from_confidence(confidence)
- sample1 = sample_from_timevar_logs(fileglob1, pattern, alpha)
- sample2 = sample_from_timevar_logs(fileglob2, pattern, alpha)
- print
- print Comparison(sample1, sample2, alpha)
-
-
-def command_two_timevar_logs():
- argc = len(sys.argv)
- if argc < 3 or 5 < argc:
- message = "usage: " + sys.argv[0]
- message += " file-pattern file-pattern [line-pattern [confidence]]"
- print message
- else:
- filepat1 = sys.argv[1]
- filepat2 = sys.argv[2]
- if len(sys.argv) >= 5:
- confidence = int(sys.argv[4])
- else:
- confidence = 95
- if len(sys.argv) >= 4:
- linepat = sys.argv[3]
- else:
- linepat = "TOTAL"
- compare_two_timevar_logs(filepat1, filepat2, linepat, confidence)
-
-
-########################################################################## Main
-
-
-# This section is the main code, implementing the command.
-
-
-command_two_timevar_logs()