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-rwxr-xr-xmath/gen-libm-test.pl606
1 files changed, 606 insertions, 0 deletions
diff --git a/math/gen-libm-test.pl b/math/gen-libm-test.pl
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+++ b/math/gen-libm-test.pl
@@ -0,0 +1,606 @@
+#!/usr/bin/perl -w
+
+# Copyright (C) 1999 Free Software Foundation, Inc.
+# This file is part of the GNU C Library.
+# Contributed by Andreas Jaeger <aj@suse.de>, 1999.
+
+# The GNU C Library is free software; you can redistribute it and/or
+# modify it under the terms of the GNU Library General Public License as
+# published by the Free Software Foundation; either version 2 of the
+# License, or (at your option) any later version.
+
+# The GNU C Library 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
+# Library General Public License for more details.
+
+# You should have received a copy of the GNU Library General Public
+# License along with the GNU C Library; see the file COPYING.LIB.  If not,
+# write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+# Boston, MA 02111-1307, USA.
+
+# This file needs to be tidied up
+# Note that functions and tests share the same namespace.
+
+use Getopt::Std;
+
+use strict;
+
+use vars qw ($input $output);
+use vars qw (@tests @functions);
+use vars qw ($count);
+use vars qw (%ulps %failures);
+use vars qw (%beautify);
+use vars qw ($output_dir $ulps_file);
+
+%beautify = 
+  ( "minus_zero" => "-0",
+    "plus_zero" => "+0",
+    "minus_infty" => "-inf",
+    "plus_infty" => "inf",
+    "nan_value" => "NaN",
+    "M_El" => "e",
+    "M_E2l" => "e^2",
+    "M_E3l" => "e^3",
+    "M_LOG10El", "log10(e)",
+    "M_PIl" => "pi",
+    "M_PI_34l" => "3/4 pi",
+    "M_PI_2l" => "pi/2",
+    "M_PI_4l" => "pi/4",
+    "M_PI_6l" => "pi/6",
+    "M_PI_34_LOG10El" => "3/4 pi*log10(e)",
+    "M_PI_LOG10El" => "pi*log10(e)",
+    "M_PI2_LOG10El" => "pi/2*log10(e)",
+    "M_PI4_LOG10El" => "pi/4*log10(e)",
+    "M_LOG_SQRT_PIl" => "log(sqrt(pi))",
+    "M_LOG_2_SQRT_PIl" => "log(2*sqrt(pi))",
+    "M_2_SQRT_PIl" => "2 sqrt (pi)",
+    "M_SQRT_PIl" => "sqrt (pi)",
+    "INVALID_EXCEPTION" => "invalid exception",
+    "DIVIDE_BY_ZERO_EXCEPTION" => "division by zero exception",
+    "INVALID_EXCEPTION_OK" => "invalid exception allowed",
+    "DIVIDE_BY_ZERO_EXCEPTION_OK" => "division by zero exception allowed",
+    "EXCEPTIONS_OK" => "exceptions allowed",
+    "IGNORE_ZERO_INF_SIGN" => "sign of zero/inf not specified",
+"INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN" => "invalid exception and sign of zero/inf not specified"
+  );
+
+
+# get Options
+# Options:
+# u: ulps-file
+# h: help
+# o: output-directory
+# n: generate new ulps file
+use vars qw($opt_u $opt_h $opt_o $opt_n);
+getopts('u:o:nh');
+
+$ulps_file = 'libm-test-ulps';
+$output_dir = '';
+
+if ($opt_h) {
+  print "Usage: generate.pl [OPTIONS]\n";
+  print " -h         print this help, then exit\n";
+  print " -o DIR     directory where generated files will be placed\n";
+  print " -n         generate sorted file NewUlps from libm-test-ulps\n";
+  print " -u FILE    input file with ulps\n";
+  exit 0;
+}
+
+$ulps_file = $opt_u if ($opt_u);
+$output_dir = $opt_o if ($opt_o);
+
+$input = "libm-test.inc";
+$output = "${output_dir}libm-test.c";
+
+$count = 0;
+
+&parse_ulps ($ulps_file);
+&generate_testfile ($input, $output);
+&output_ulps ("${output_dir}libm-test-ulps.h");
+&print_ulps_file ("${output_dir}NewUlps") if ($opt_n);
+
+# Return a nicer representation
+sub beautify {
+  my ($arg) = @_;
+  my ($tmp);
+
+  if (exists $beautify{$arg}) {
+    return $beautify{$arg};
+  }
+  if ($arg =~ /^-/) {
+    $tmp = $arg;
+    $tmp =~ s/^-//;
+    if (exists $beautify{$tmp}) {
+      return '-' . $beautify{$tmp};
+    }
+  }
+  if ($arg =~ /[0-9]L$/) {
+    $arg =~ s/L$//;
+  }
+  return $arg;
+}
+
+# Return a nicer representation of a complex number
+sub build_complex_beautify {
+  my ($r, $i) = @_;
+  my ($str1, $str2);
+
+  $str1 = &beautify ($r);
+  $str2 = &beautify ($i);
+  if ($str2 =~ /^-/) {
+    $str2 =~ s/^-//;
+    $str1 .= ' - ' . $str2;
+  } else {
+    $str1 .= ' + ' . $str2;
+  }
+  $str1 .= ' i';
+  return $str1;
+}
+
+# Return name of a variable
+sub get_variable {
+  my ($number) = @_;
+
+  return "x" if ($number == 1); 
+  return "y" if ($number == 2); 
+  return "z" if ($number == 3);
+  # return x1,x2,...
+  $number =-3;
+  return "x$number";
+}
+
+# Add a new test to internal data structures and fill in the
+# ulps, failures and exception information for the C line.
+sub new_test {
+  my ($test, $exception) = @_;
+  my $rest;
+
+  # Add ulp, xfail
+  if (exists $ulps{$test}) {
+    $rest = ", DELTA$count";
+  } else {
+    $rest = ', 0';
+  }
+  if (exists $failures{$test}) {
+    $rest .= ", FAIL$count";
+  } else {
+    $rest .= ', 0';
+  }
+  if (defined $exception) {
+    $rest .= ", $exception";
+  } else {
+    $rest .= ', 0';
+  }
+  $rest .= ");\n";
+  # We must increment here to keep @tests and count in sync
+  push @tests, $test;
+  ++$count;
+  return $rest;
+}
+
+# Treat some functions especially.
+# Currently only sincos needs extra treatment.
+sub special_functions {
+  my ($file, $args) = @_;
+  my (@args, $str, $test, $cline);
+
+  @args = split /,\s*/, $args;
+  
+  unless ($args[0] =~ /sincos/) {
+    die ("Don't know how to handle $args[0] extra.");
+  }
+  print $file "  FUNC (sincos) ($args[1], &sin_res, &cos_res);\n";
+
+  $str = 'sincos (' . &beautify ($args[1]) . ', &sin_res, &cos_res)';
+  # handle sin
+  $test = $str . ' puts ' . &beautify ($args[2]) . ' in sin_res';
+  if ($#args == 4) {
+    $test .= " plus " . &beautify ($args[4]);
+  }
+
+  $cline = "  check_float (\"$test\", sin_res, $args[2]";
+  $cline .= &new_test ($test, $args[4]);
+  print $file $cline;
+  
+  # handle cos
+  $test = $str . ' puts ' . &beautify ($args[3]) . ' in cos_res';
+  $cline = "  check_float (\"$test\", cos_res, $args[3]";
+  # only tests once for exception
+  $cline .= &new_test ($test, undef);
+  print $file $cline;
+}
+
+# Parse the arguments to TEST_x_y
+sub parse_args {
+  my ($file, $descr, $args) = @_;
+  my (@args, $str, $descr_args, $descr_res, @descr);
+  my ($current_arg, $cline, $i);
+  my ($pre, $post, @special);
+  my ($extra_var, $call, $c_call);
+
+  if ($descr eq 'extra') {
+    &special_functions ($file, $args);
+    return;
+  }
+  ($descr_args, $descr_res) = split /_/,$descr, 2;
+
+  @args = split /,\s*/, $args;
+
+  $call = "$args[0] (";
+
+  # Generate first the string that's shown to the user
+  $current_arg = 1;
+  $extra_var = 0;
+  @descr = split //,$descr_args;
+  for ($i = 0; $i <= $#descr; $i++) {
+    if ($i >= 1) {
+      $call .= ', ';
+    }
+    # FLOAT, int, long int, long long int
+    if ($descr[$i] =~ /f|i|l|L/) {
+      $call .= &beautify ($args[$current_arg]);
+      ++$current_arg;
+      next;
+    }
+    # &FLOAT, &int - argument is added here
+    if ($descr[$i] =~ /F|I/) {
+      ++$extra_var;
+      $call .= '&' . &get_variable ($extra_var);
+      next;
+    }
+    # complex
+    if ($descr[$i] eq 'c') {
+      $call .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
+      $current_arg += 2;
+      next;
+    }
+
+    die ("$descr[$i] is unknown");
+  }
+  $call .= ')';
+  $str = "$call == ";
+
+  # Result 
+  @descr = split //,$descr_res;
+  foreach (@descr) {
+    if ($_ =~ /f|i|l|L/) {
+      $str .= &beautify ($args[$current_arg]);
+      ++$current_arg;
+    } elsif ($_ eq 'c') {
+      $str .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
+      $current_arg += 2;
+    } elsif ($_ eq 'b') {
+      # boolean
+      $str .= ($args[$current_arg] == 0) ? "false" : "true";
+      ++$current_arg;
+    } elsif ($_ eq '1') {
+      ++$current_arg;
+    } else {
+      die ("$_ is unknown");
+    }
+  }
+  # consistency check
+  if ($current_arg == $#args) {
+    die ("wrong number of arguments")
+      unless ($args[$current_arg] =~ /EXCEPTION|IGNORE_ZERO_INF_SIGN/);
+  } elsif ($current_arg < $#args) {
+    die ("wrong number of arguments");
+  } elsif ($current_arg > ($#args+1)) {
+    die ("wrong number of arguments");
+  }
+
+
+  # check for exceptions
+  if ($current_arg <= $#args) {
+    $str .= " plus " . &beautify ($args[$current_arg]);
+  }
+
+  # Put the C program line together
+  # Reset some variables to start again
+  $current_arg = 1;
+  $extra_var = 0;
+  if (substr($descr_res,0,1) eq 'f') {
+    $cline = 'check_float'
+  } elsif (substr($descr_res,0,1) eq 'b') {
+    $cline = 'check_bool';
+  } elsif (substr($descr_res,0,1) eq 'c') {
+    $cline = 'check_complex';
+  } elsif (substr($descr_res,0,1) eq 'i') {
+    $cline = 'check_int';
+  } elsif (substr($descr_res,0,1) eq 'l') {
+    $cline = 'check_long';
+  } elsif (substr($descr_res,0,1) eq 'L') {
+    $cline = 'check_longlong';
+  }
+  # Special handling for some macros:
+  $cline .= " (\"$str\", ";
+  if ($args[0] =~ /fpclassify|isnormal|isfinite|signbit/) {
+    $c_call = "$args[0] (";
+  } else {
+    $c_call = " FUNC($args[0]) (";
+  }
+  @descr = split //,$descr_args;
+  for ($i=0; $i <= $#descr; $i++) {
+    if ($i >= 1) {
+      $c_call .= ', ';
+    }
+    # FLOAT, int, long int, long long int
+    if ($descr[$i] =~ /f|i|l|L/) {
+      $c_call .= $args[$current_arg];
+      $current_arg++;
+      next;
+    }
+    # &FLOAT, &int
+    if ($descr[$i] =~ /F|I/) {
+      ++$extra_var;
+      $c_call .= '&' . &get_variable ($extra_var);
+      next;
+    }
+    # complex
+    if ($descr[$i] eq 'c') {
+      $c_call .= "BUILD_COMPLEX ($args[$current_arg], $args[$current_arg+1])";
+      $current_arg += 2;
+      next;
+    }
+  }
+  $c_call .= ')';
+  $cline .= "$c_call, ";
+
+  @descr = split //,$descr_res;
+  foreach (@descr) {
+    if ($_ =~ /b|f|i|l|L/ ) {
+      $cline .= $args[$current_arg];
+      $current_arg++;
+    } elsif ($_ eq 'c') {
+      $cline .= "BUILD_COMPLEX ($args[$current_arg], $args[$current_arg+1])";
+      $current_arg += 2;
+    } elsif ($_ eq '1') {
+      push @special, $args[$current_arg];
+      ++$current_arg;
+    }
+  }
+  # Add ulp, xfail
+  $cline .= &new_test ($str, ($current_arg <= $#args) ? $args[$current_arg] : undef);
+
+  # special treatment for some functions
+  if ($args[0] eq 'frexp') {
+    if (defined $special[0] && $special[0] ne "IGNORE") {
+      my ($str) = "$call sets x to $special[0]";
+      $post = "  check_int (\"$str\", x, $special[0]";
+      $post .= &new_test ($str, undef);
+    }
+  } elsif ($args[0] eq 'gamma' || $args[0] eq 'lgamma') {
+    $pre = "  signgam = 0;\n";
+    if (defined $special[0] && $special[0] ne "IGNORE") {
+      my ($str) = "$call sets signgam to $special[0]";
+      $post = "  check_int (\"$str\", signgam, $special[0]";
+      $post .= &new_test ($str, undef);
+    }
+  } elsif ($args[0] eq 'modf') {
+    if (defined $special[0] && $special[0] ne "IGNORE") {
+      my ($str) = "$call sets x to $special[0]";
+      $post = "  check_float (\"$str\", x, $special[0]";
+      $post .= &new_test ($str, undef);
+    } 
+  } elsif ($args[0] eq 'remquo') {
+    if (defined $special[0] && $special[0] ne "IGNORE") {
+      my ($str) = "$call sets x to $special[0]";
+      $post = "  check_int (\"$str\", x, $special[0]";
+      $post .= &new_test ($str, undef);
+    }
+  }
+  
+  print $file $pre if (defined $pre);
+
+  print $file "  $cline\n";
+
+  print $file $post if (defined $post);
+}
+
+# Generate libm-test.c
+sub generate_testfile {
+  my ($input, $output) = @_;
+  my ($lasttext);
+  my (@args, $i, $str);
+
+  open INPUT, $input or die ("Can't open $input: $!");
+  open OUTPUT, ">$output" or die ("Can't open $output: $!");
+
+  # Replace the special macros
+  while (<INPUT>) {
+
+    # TEST_...
+    if (/^\s*TEST_/) {
+      my ($descr, $args);
+      chop;
+      ($descr, $args) = ($_ =~ /TEST_(\w+)\s*\((.*)\)/);
+      &parse_args (\*OUTPUT, $descr, $args);
+      next;
+    }
+    # START (function)
+    if (/START/) {
+      print OUTPUT "  init_max_error ();\n";
+      next;
+    }
+    # END (function)
+    if (/END/) {
+      my ($fct, $line);
+      ($fct) = ($_ =~ /END\s*\((.*)\)/);
+      $line = "  print_max_error (\"$fct\", ";
+      if (exists $ulps{$fct}) {
+	$line .= "DELTA$fct";
+      } else {
+	$line .= '0';
+      }
+      if (exists $failures{$fct}) {
+	$line .= ", FAIL$fct";
+      } else {
+	$line .= ', 0';
+      }
+      $line .= ");\n";
+      print OUTPUT $line;
+      push @functions, $fct;
+      next;
+    }
+    print OUTPUT;
+  }
+  close INPUT;
+  close OUTPUT;
+}
+
+
+
+# Parse ulps file
+sub parse_ulps {
+  my ($file) = @_;
+  my ($test, $type, $eps);
+
+  open ULP, $file  or die ("Can't open $file: $!");
+  while (<ULP>) {
+    chop;
+    # ignore comments and empty lines
+    next if /^#/;
+    next if /^\s*$/;
+    if (/^Test/) {
+      s/^.+\"(.*)\".*$/$1/;
+      $test = $_;
+      next;
+    }
+    if (/^Function/) {
+      ($test) = ($_ =~ /^Function\s*\"([a-zA-Z0-9_]+)\"/);
+      next;
+    }
+    if (/^i?(float|double|ldouble):/) {
+      ($type, $eps) = split /\s*:\s*/,$_,2;
+      if ($eps eq "fail") {
+	$failures{$test}{$type} = 1;
+      } else {
+	$ulps{$test}{$type} = $eps;
+      }
+      next;
+    }
+    print "Skipping unknown entry: `$_'\n";
+  }
+  close ULP;
+}
+
+# Just for testing: Print all ulps
+sub print_ulps {
+  my ($test, $type, $eps);
+
+  foreach $test (keys %ulps) {
+    print "$test:\n";
+    foreach $type (keys %{$ulps{$test}}) {
+      print "$test: $type $ulps{$test}{$type}\n";
+    }
+  }
+}
+
+# Clean up a floating point number
+sub clean_up_number {
+  my ($number) = @_;
+  
+  # Remove trailing zeros
+  $number =~ s/0+$//;
+  $number =~ s/\.$//;
+  return $number;
+}
+
+# Output a file which can be read in as ulps file.
+sub print_ulps_file {
+  my ($file) = @_;
+  my ($test, $type, $eps, $fct, $last_fct);
+
+  $last_fct = '';
+  open NEWULP, ">$file" or die ("Can't open $file: $!");
+  print NEWULP "# Begin of automatic generation\n";
+  foreach $test (sort @tests) {
+    if (defined $ulps{$test} || defined $failures{$test}) {
+      ($fct) = ($test =~ /^(\w+)\s/);
+      if ($fct ne $last_fct) {
+	$last_fct = $fct;
+	print NEWULP "\n# $fct\n";
+      }
+      print NEWULP "Test \"$test\":\n";
+      foreach $type (sort keys %{$ulps{$test}}) {
+	print NEWULP "$type: ", &clean_up_number ($ulps{$test}{$type}), "\n";
+      }
+      foreach $type (sort keys %{$failures{$test}}) {
+	print NEWULP "$type: fail\n";
+      }
+    }
+  }
+  print NEWULP "\n# Maximal error of functions:\n";
+
+  foreach $fct (sort @functions) {
+    if (defined $ulps{$fct} || defined $failures{$fct}) {
+      print NEWULP "Function \"$fct\":\n";
+      foreach $type (sort keys %{$ulps{$fct}}) {
+	print NEWULP "$type: ", &clean_up_number ($ulps{$fct}{$type}), "\n";
+      }
+      foreach $type (sort keys %{$failures{$fct}}) {
+	print NEWULP "$type: fail\n";
+      }
+      print NEWULP "\n";
+    }
+  }
+  print NEWULP "# end of automatic generation\n";
+  close NEWULP;
+}
+
+sub get_ulps {
+  my ($test, $float) = @_;
+  return exists $ulps{$test}{$float} ? $ulps{$test}{$float} : "0";
+}
+
+sub get_failure {
+  my ($test, $float) = @_;
+  return exists $failures{$test}{$float} ? $failures{$test}{$float} : "0";
+}
+
+# Output the defines for a single test
+sub output_test {
+  my ($file, $test, $name) = @_;
+  my ($ldouble, $double, $float, $ildouble, $idouble, $ifloat);
+
+  if (exists $ulps{$test}) {
+    $ldouble = &get_ulps ($test, "ldouble");
+    $double = &get_ulps ($test, "double");
+    $float = &get_ulps ($test, "float");
+    $ildouble = &get_ulps ($test, "ildouble");
+    $idouble = &get_ulps ($test, "idouble");
+    $ifloat = &get_ulps ($test, "ifloat");
+    print $file "#define DELTA$name CHOOSE($ldouble, $double, $float, $ildouble, $idouble, $ifloat)\t/* $test  */\n";
+  }
+  if (exists $failures{$test}) {
+    $ldouble = &get_failure ($test, "ldouble");
+    $double = &get_failure ($test, "double");
+    $float = &get_failure ($test, "float");
+    $ildouble = &get_failure ($test, "ildouble");
+    $idouble = &get_failure ($test, "idouble");
+    $ifloat = &get_failure ($test, "ifloat");
+    print $file "#define FAIL$name CHOOSE($ldouble, $double, $float $ildouble, $idouble, $ifloat)\t/* $test  */\n";
+  }
+}
+
+# Print include file
+sub output_ulps {
+  my ($file) = @_;
+  my ($i, $fct);
+
+  open ULP, ">$file" or die ("Can't open $file: $!");
+
+  print ULP "/* This file is automatically generated.\n";
+  print ULP "   Don't change it - change instead the master files.  */\n\n";
+
+  foreach $fct (@functions) {
+    output_test (\*ULP, $fct, $fct);
+  }
+
+  for ($i = 0; $i < $count; $i++) {
+    output_test (\*ULP, $tests[$i], $i);
+  }
+  close ULP;
+}
+