math/gen-libm-test.pl

   1 #!/usr/bin/perl -w
   2 # Copyright (C) 1999-2014 Free Software Foundation, Inc.
   3 # This file is part of the GNU C Library.
   4 # Contributed by Andreas Jaeger <aj@suse.de>, 1999.
   5
   6 # The GNU C Library is free software; you can redistribute it and/or
   7 # modify it under the terms of the GNU Lesser General Public
   8 # License as published by the Free Software Foundation; either
   9 # version 2.1 of the License, or (at your option) any later version.
  10
  11 # The GNU C Library is distributed in the hope that it will be useful,
  12 # but WITHOUT ANY WARRANTY; without even the implied warranty of
  13 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  14 # Lesser General Public License for more details.
  15
  16 # You should have received a copy of the GNU Lesser General Public
  17 # License along with the GNU C Library; if not, see
  18 # <http://www.gnu.org/licenses/>.
  19
  20 # This file needs to be tidied up
  21 # Note that functions and tests share the same namespace.
  22
  23 # Information about tests are stored in: %results
  24 # $results{$test}{"type"} is the result type, e.g. normal or complex.
  25 # $results{$test}{"has_ulps"} is set if deltas exist.
  26 # In the following description $type and $float are:
  27 # - $type is either "normal", "real" (for the real part of a complex number)
  28 #   or "imag" (for the imaginary part # of a complex number).
  29 # - $float is either of float, ifloat, double, idouble, ldouble, ildouble;
  30 #   It represents the underlying floating point type (float, double or long
  31 #   double) and if inline functions (the leading i stands for inline)
  32 #   are used.
  33 # $results{$test}{$type}{"ulp"}{$float} is defined and has a delta as value
  34
  35
  36 use Getopt::Std;
  37
  38 use strict;
  39
  40 use vars qw ($input $output $auto_input);
  41 use vars qw (%results);
  42 use vars qw (%beautify @all_floats);
  43 use vars qw ($output_dir $ulps_file $srcdir);
  44 use vars qw (%auto_tests);
  45
  46 # all_floats is sorted and contains all recognised float types
  47 @all_floats = ('double', 'float', 'idouble',
  48                'ifloat', 'ildouble', 'ldouble');
  49
  50 %beautify =
  51   ( "minus_zero" => "-0",
  52     "plus_zero" => "+0",
  53     "-0x0p+0f" => "-0",
  54     "-0x0p+0" => "-0",
  55     "-0x0p+0L" => "-0",
  56     "0x0p+0f" => "+0",
  57     "0x0p+0" => "+0",
  58     "0x0p+0L" => "+0",
  59     "minus_infty" => "-inf",
  60     "plus_infty" => "inf",
  61     "qnan_value" => "qNaN",
  62   );
  63
  64
  65 # get Options
  66 # Options:
  67 # u: ulps-file
  68 # h: help
  69 # o: output-directory
  70 # n: generate new ulps file
  71 use vars qw($opt_u $opt_h $opt_o $opt_n);
  72 getopts('u:o:nh');
  73
  74 $ulps_file = 'libm-test-ulps';
  75 $output_dir = '';
  76 ($srcdir = $0) =~ s{[^/]*$}{};
  77
  78 if ($opt_h) {
  79   print "Usage: gen-libm-test.pl [OPTIONS]\n";
  80   print " -h         print this help, then exit\n";
  81   print " -o DIR     directory where generated files will be placed\n";
  82   print " -n         only generate sorted file NewUlps from libm-test-ulps\n";
  83   print " -u FILE    input file with ulps\n";
  84   exit 0;
  85 }
  86
  87 $ulps_file = $opt_u if ($opt_u);
  88 $output_dir = $opt_o if ($opt_o);
  89
  90 $input = "libm-test.inc";
  91 $auto_input = "${srcdir}auto-libm-test-out";
  92 $output = "${output_dir}libm-test.c";
  93
  94 &parse_ulps ($ulps_file);
  95 &parse_auto_input ($auto_input);
  96 &generate_testfile ($input, $output) unless ($opt_n);
  97 &output_ulps ("${output_dir}libm-test-ulps.h", $ulps_file) unless ($opt_n);
  98 &print_ulps_file ("${output_dir}NewUlps") if ($opt_n);
  99
 100 # Return a nicer representation
 101 sub beautify {
 102   my ($arg) = @_;
 103   my ($tmp);
 104
 105   if (exists $beautify{$arg}) {
 106     return $beautify{$arg};
 107   }
 108   if ($arg =~ /^-/) {
 109     $tmp = $arg;
 110     $tmp =~ s/^-//;
 111     if (exists $beautify{$tmp}) {
 112       return '-' . $beautify{$tmp};
 113     }
 114   }
 115   if ($arg =~ /^-?0x[0-9a-f.]*p[-+][0-9]+f$/) {
 116     $arg =~ s/f$//;
 117   }
 118   if ($arg =~ /[0-9]L$/) {
 119     $arg =~ s/L$//;
 120   }
 121   return $arg;
 122 }
 123
 124 # Return a nicer representation of a complex number
 125 sub build_complex_beautify {
 126   my ($r, $i) = @_;
 127   my ($str1, $str2);
 128
 129   $str1 = &beautify ($r);
 130   $str2 = &beautify ($i);
 131   if ($str2 =~ /^-/) {
 132     $str2 =~ s/^-//;
 133     $str1 .= ' - ' . $str2;
 134   } else {
 135     $str1 .= ' + ' . $str2;
 136   }
 137   $str1 .= ' i';
 138   return $str1;
 139 }
 140
 141 # Return the text to put in an initializer for a test's exception
 142 # information.
 143 sub show_exceptions {
 144   my ($ignore_result, $exception) = @_;
 145   $ignore_result = ($ignore_result ? "IGNORE_RESULT|" : "");
 146   if (defined $exception) {
 147     return ", ${ignore_result}$exception";
 148   } else {
 149     return ", ${ignore_result}0";
 150   }
 151 }
 152
 153 # Parse the arguments to TEST_x_y
 154 sub parse_args {
 155   my ($file, $descr, $args) = @_;
 156   my (@args, $descr_args, $descr_res, @descr);
 157   my ($current_arg, $cline, $cline_res, $i);
 158   my (@special);
 159   my ($call_args);
 160   my ($ignore_result_any, $ignore_result_all);
 161   my ($num_res, @args_res, @start_rm, $rm);
 162   my (@plus_oflow, @minus_oflow, @plus_uflow, @minus_uflow);
 163   my (@errno_plus_oflow, @errno_minus_oflow);
 164   my (@errno_plus_uflow, @errno_minus_uflow);
 165
 166   ($descr_args, $descr_res) = split /_/,$descr, 2;
 167
 168   @args = split /,\s*/, $args;
 169
 170   $call_args = "";
 171
 172   # Generate first the string that's shown to the user
 173   $current_arg = 1;
 174   @descr = split //,$descr_args;
 175   for ($i = 0; $i <= $#descr; $i++) {
 176     my $comma = "";
 177     if ($current_arg > 1) {
 178       $comma = ', ';
 179     }
 180     # FLOAT, int, long int, long long int
 181     if ($descr[$i] =~ /f|i|l|L/) {
 182       $call_args .= $comma . &beautify ($args[$current_arg]);
 183       ++$current_arg;
 184       next;
 185     }
 186     # &FLOAT, &int - simplify call by not showing argument.
 187     if ($descr[$i] =~ /F|I/) {
 188       next;
 189     }
 190     # complex
 191     if ($descr[$i] eq 'c') {
 192       $call_args .= $comma . &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
 193       $current_arg += 2;
 194       next;
 195     }
 196
 197     die ("$descr[$i] is unknown");
 198   }
 199
 200   # Result
 201   @args_res = @args[$current_arg .. $#args];
 202   $num_res = 0;
 203   @descr = split //,$descr_res;
 204   foreach (@descr) {
 205     if ($_ =~ /f|i|l|L/) {
 206       ++$num_res;
 207     } elsif ($_ eq 'c') {
 208       $num_res += 2;
 209     } elsif ($_ eq 'b') {
 210       # boolean
 211       ++$num_res;
 212     } elsif ($_ eq '1') {
 213       ++$num_res;
 214     } else {
 215       die ("$_ is unknown");
 216     }
 217   }
 218   # consistency check
 219   if ($#args_res == $num_res - 1) {
 220     # One set of results for all rounding modes, no flags.
 221     @start_rm = ( 0, 0, 0, 0 );
 222   } elsif ($#args_res == $num_res) {
 223     # One set of results for all rounding modes, with flags.
 224     die ("wrong number of arguments")
 225       unless ($args_res[$#args_res] =~ /EXCEPTION|ERRNO|IGNORE_ZERO_INF_SIGN|TEST_NAN_SIGN|NO_TEST_INLINE|XFAIL_TEST/);
 226     @start_rm = ( 0, 0, 0, 0 );
 227   } elsif ($#args_res == 4 * $num_res + 3) {
 228     # One set of results per rounding mode, with flags.
 229     @start_rm = ( 0, $num_res + 1, 2 * $num_res + 2, 3 * $num_res + 3 );
 230   } else {
 231     die ("wrong number of arguments");
 232   }
 233
 234   # Put the C program line together
 235   # Reset some variables to start again
 236   $current_arg = 1;
 237   $cline = "{ \"$call_args\"";
 238   @descr = split //,$descr_args;
 239   for ($i=0; $i <= $#descr; $i++) {
 240     # FLOAT, int, long int, long long int
 241     if ($descr[$i] =~ /f|i|l|L/) {
 242       $cline .= ", $args[$current_arg]";
 243       $current_arg++;
 244       next;
 245     }
 246     # &FLOAT, &int
 247     if ($descr[$i] =~ /F|I/) {
 248       next;
 249     }
 250     # complex
 251     if ($descr[$i] eq 'c') {
 252       $cline .= ", $args[$current_arg], $args[$current_arg+1]";
 253       $current_arg += 2;
 254       next;
 255     }
 256   }
 257
 258   @descr = split //,$descr_res;
 259   @plus_oflow = qw(max_value plus_infty max_value plus_infty);
 260   @minus_oflow = qw(minus_infty minus_infty -max_value -max_value);
 261   @plus_uflow = qw(plus_zero plus_zero plus_zero min_subnorm_value);
 262   @minus_uflow = qw(-min_subnorm_value minus_zero minus_zero minus_zero);
 263   @errno_plus_oflow = qw(0 ERRNO_ERANGE 0 ERRNO_ERANGE);
 264   @errno_minus_oflow = qw(ERRNO_ERANGE ERRNO_ERANGE 0 0);
 265   @errno_plus_uflow = qw(ERRNO_ERANGE ERRNO_ERANGE ERRNO_ERANGE 0);
 266   @errno_minus_uflow = qw(0 ERRNO_ERANGE ERRNO_ERANGE ERRNO_ERANGE);
 267   for ($rm = 0; $rm <= 3; $rm++) {
 268     $current_arg = $start_rm[$rm];
 269     $ignore_result_any = 0;
 270     $ignore_result_all = 1;
 271     $cline_res = "";
 272     @special = ();
 273     foreach (@descr) {
 274       if ($_ =~ /b|f|i|l|L/ ) {
 275         my ($result) = $args_res[$current_arg];
 276         if ($result eq "IGNORE") {
 277           $ignore_result_any = 1;
 278           $result = "0";
 279         } else {
 280           $ignore_result_all = 0;
 281         }
 282         $cline_res .= ", $result";
 283         $current_arg++;
 284       } elsif ($_ eq 'c') {
 285         my ($result1) = $args_res[$current_arg];
 286         if ($result1 eq "IGNORE") {
 287           $ignore_result_any = 1;
 288           $result1 = "0";
 289         } else {
 290           $ignore_result_all = 0;
 291         }
 292         my ($result2) = $args_res[$current_arg + 1];
 293         if ($result2 eq "IGNORE") {
 294           $ignore_result_any = 1;
 295           $result2 = "0";
 296         } else {
 297           $ignore_result_all = 0;
 298         }
 299         $cline_res .= ", $result1, $result2";
 300         $current_arg += 2;
 301       } elsif ($_ eq '1') {
 302         push @special, $args_res[$current_arg];
 303         ++$current_arg;
 304       }
 305     }
 306     if ($ignore_result_any && !$ignore_result_all) {
 307       die ("some but not all function results ignored\n");
 308     }
 309     # Add exceptions.
 310     $cline_res .= show_exceptions ($ignore_result_any,
 311                                    ($current_arg <= $#args_res)
 312                                    ? $args_res[$current_arg]
 313                                    : undef);
 314
 315     # special treatment for some functions
 316     $i = 0;
 317     foreach (@special) {
 318       ++$i;
 319       my ($extra_expected) = $_;
 320       my ($run_extra) = ($extra_expected ne "IGNORE" ? 1 : 0);
 321       if (!$run_extra) {
 322         $extra_expected = "0";
 323       }
 324       $cline_res .= ", $run_extra, $extra_expected";
 325     }
 326     $cline_res =~ s/^, //;
 327     $cline_res =~ s/plus_oflow/$plus_oflow[$rm]/g;
 328     $cline_res =~ s/minus_oflow/$minus_oflow[$rm]/g;
 329     $cline_res =~ s/plus_uflow/$plus_uflow[$rm]/g;
 330     $cline_res =~ s/minus_uflow/$minus_uflow[$rm]/g;
 331     $cline_res =~ s/ERRNO_PLUS_OFLOW/$errno_plus_oflow[$rm]/g;
 332     $cline_res =~ s/ERRNO_MINUS_OFLOW/$errno_minus_oflow[$rm]/g;
 333     $cline_res =~ s/ERRNO_PLUS_UFLOW/$errno_plus_uflow[$rm]/g;
 334     $cline_res =~ s/ERRNO_MINUS_UFLOW/$errno_minus_uflow[$rm]/g;
 335     $cline .= ", { $cline_res }";
 336   }
 337   print $file "    $cline },\n";
 338 }
 339
 340 # Convert a condition from auto-libm-test-out to C form.
 341 sub convert_condition {
 342   my ($cond) = @_;
 343   my (@conds, $ret);
 344   @conds = split /:/, $cond;
 345   foreach (@conds) {
 346     s/-/_/g;
 347     s/^/TEST_COND_/;
 348   }
 349   $ret = join " && ", @conds;
 350   return "($ret)";
 351 }
 352
 353 # Return text to OR a value into an accumulated flags string.
 354 sub or_value {
 355   my ($cond) = @_;
 356   if ($cond eq "0") {
 357     return "";
 358   } else {
 359     return " | $cond";
 360   }
 361 }
 362
 363 # Return a conditional expression between two values.
 364 sub cond_value {
 365   my ($cond, $if, $else) = @_;
 366   if ($cond eq "1") {
 367     return $if;
 368   } elsif ($cond eq "0") {
 369     return $else;
 370   } else {
 371     return "($cond ? $if : $else)";
 372   }
 373 }
 374
 375 # Return text to OR a conditional expression between two values into
 376 # an accumulated flags string.
 377 sub or_cond_value {
 378   my ($cond, $if, $else) = @_;
 379   return or_value (cond_value ($cond, $if, $else));
 380 }
 381
 382 # Generate libm-test.c
 383 sub generate_testfile {
 384   my ($input, $output) = @_;
 385
 386   open INPUT, $input or die ("Can't open $input: $!");
 387   open OUTPUT, ">$output" or die ("Can't open $output: $!");
 388
 389   # Replace the special macros
 390   while (<INPUT>) {
 391     # AUTO_TESTS (function),
 392     if (/^\s*AUTO_TESTS_/) {
 393       my ($descr, $func, @modes, $auto_test, $num_auto_tests);
 394       my (@rm_tests, $rm, $i);
 395       @modes = qw(downward tonearest towardzero upward);
 396       ($descr, $func) = ($_ =~ /AUTO_TESTS_(\w+)\s*\((\w+)\)/);
 397       for ($rm = 0; $rm <= 3; $rm++) {
 398         $rm_tests[$rm] = [sort keys %{$auto_tests{$func}{$modes[$rm]}}];
 399       }
 400       $num_auto_tests = scalar @{$rm_tests[0]};
 401       for ($rm = 1; $rm <= 3; $rm++) {
 402         if ($num_auto_tests != scalar @{$rm_tests[$rm]}) {
 403           die ("inconsistent numbers of tests for $func\n");
 404         }
 405         for ($i = 0; $i < $num_auto_tests; $i++) {
 406           if ($rm_tests[0][$i] ne $rm_tests[$rm][$i]) {
 407             die ("inconsistent list of tests of $func\n");
 408           }
 409         }
 410       }
 411       if ($num_auto_tests == 0) {
 412         die ("no automatic tests for $func\n");
 413       }
 414       foreach $auto_test (@{$rm_tests[0]}) {
 415         my ($format, $inputs, $format_conv, $args_str);
 416         ($format, $inputs) = split / /, $auto_test, 2;
 417         $inputs =~ s/ /, /g;
 418         $format_conv = convert_condition ($format);
 419         print OUTPUT "#if $format_conv\n";
 420         $args_str = "$func, $inputs";
 421         for ($rm = 0; $rm <= 3; $rm++) {
 422           my ($auto_test_out, $outputs, $flags);
 423           my ($flags_conv, @flags, %flag_cond);
 424           $auto_test_out = $auto_tests{$func}{$modes[$rm]}{$auto_test};
 425           ($outputs, $flags) = split / : */, $auto_test_out;
 426           $outputs =~ s/ /, /g;
 427           @flags = split / /, $flags;
 428           foreach (@flags) {
 429             if (/^([^:]*):(.*)$/) {
 430               my ($flag, $cond);
 431               $flag = $1;
 432               $cond = convert_condition ($2);
 433               if (defined ($flag_cond{$flag})) {
 434                 if ($flag_cond{$flag} ne "1") {
 435                   $flag_cond{$flag} .= " || $cond";
 436                 }
 437               } else {
 438                 $flag_cond{$flag} = $cond;
 439               }
 440             } else {
 441               $flag_cond{$_} = "1";
 442             }
 443           }
 444           $flags_conv = "";
 445           if (defined ($flag_cond{"ignore-zero-inf-sign"})) {
 446             $flags_conv .= or_cond_value ($flag_cond{"ignore-zero-inf-sign"},
 447                                           "IGNORE_ZERO_INF_SIGN", "0");
 448           }
 449           if (defined ($flag_cond{"no-test-inline"})) {
 450             $flags_conv .= or_cond_value ($flag_cond{"no-test-inline"},
 451                                           "NO_TEST_INLINE", "0");
 452           }
 453           if (defined ($flag_cond{"xfail"})) {
 454             $flags_conv .= or_cond_value ($flag_cond{"xfail"},
 455                                           "XFAIL_TEST", "0");
 456           }
 457           my (@exc_list) = qw(divbyzero inexact invalid overflow underflow);
 458           my ($exc);
 459           foreach $exc (@exc_list) {
 460             my ($exc_expected, $exc_ok, $no_exc, $exc_cond, $exc_ok_cond);
 461             $exc_expected = "\U$exc\E_EXCEPTION";
 462             $exc_ok = "\U$exc\E_EXCEPTION_OK";
 463             $no_exc = "0";
 464             if ($exc eq "inexact") {
 465               $exc_ok = "0";
 466               $no_exc = "NO_INEXACT_EXCEPTION";
 467             }
 468             if (defined ($flag_cond{$exc})) {
 469               $exc_cond = $flag_cond{$exc};
 470             } else {
 471               $exc_cond = "0";
 472             }
 473             if (defined ($flag_cond{"$exc-ok"})) {
 474               $exc_ok_cond = $flag_cond{"$exc-ok"};
 475             } else {
 476               $exc_ok_cond = "0";
 477             }
 478             $flags_conv .= or_cond_value ($exc_cond,
 479                                           cond_value ($exc_ok_cond,
 480                                                       $exc_ok, $exc_expected),
 481                                           cond_value ($exc_ok_cond,
 482                                                       $exc_ok, $no_exc));
 483           }
 484           my ($errno_expected, $errno_unknown_cond);
 485           if (defined ($flag_cond{"errno-edom"})) {
 486             if ($flag_cond{"errno-edom"} ne "1") {
 487               die ("unexpected condition for errno-edom");
 488             }
 489             if (defined ($flag_cond{"errno-erange"})) {
 490               die ("multiple errno values expected");
 491             }
 492             $errno_expected = "ERRNO_EDOM";
 493           } elsif (defined ($flag_cond{"errno-erange"})) {
 494             if ($flag_cond{"errno-erange"} ne "1") {
 495               die ("unexpected condition for errno-erange");
 496             }
 497             $errno_expected = "ERRNO_ERANGE";
 498           } else {
 499             $errno_expected = "ERRNO_UNCHANGED";
 500           }
 501           if (defined ($flag_cond{"errno-edom-ok"})) {
 502             if (defined ($flag_cond{"errno-erange-ok"})
 503                 && ($flag_cond{"errno-erange-ok"}
 504                     ne $flag_cond{"errno-edom-ok"})) {
 505               $errno_unknown_cond = "($flag_cond{\"errno-edom-ok\"} || $flag_cond{\"errno-erange-ok\"})";
 506             } else {
 507               $errno_unknown_cond = $flag_cond{"errno-edom-ok"};
 508             }
 509           } elsif (defined ($flag_cond{"errno-erange-ok"})) {
 510             $errno_unknown_cond = $flag_cond{"errno-erange-ok"};
 511           } else {
 512             $errno_unknown_cond = "0";
 513           }
 514           $flags_conv .= or_cond_value ($errno_unknown_cond,
 515                                         "0", $errno_expected);
 516           if ($flags_conv eq "") {
 517             $flags_conv = ", NO_EXCEPTION";
 518           } else {
 519             $flags_conv =~ s/^ \|/,/;
 520           }
 521           $args_str .= ", $outputs$flags_conv";
 522         }
 523         &parse_args (\*OUTPUT, $descr, $args_str);
 524         print OUTPUT "#endif\n";
 525       }
 526       next;
 527     }
 528
 529     # TEST_...
 530     if (/^\s*TEST_/) {
 531       my ($descr, $args);
 532       chop;
 533       ($descr, $args) = ($_ =~ /TEST_(\w+)\s*\((.*)\)/);
 534       &parse_args (\*OUTPUT, $descr, $args);
 535       next;
 536     }
 537     print OUTPUT;
 538   }
 539   close INPUT;
 540   close OUTPUT;
 541 }
 542
 543
 544
 545 # Parse ulps file
 546 sub parse_ulps {
 547   my ($file) = @_;
 548   my ($test, $type, $float, $eps);
 549
 550   # $type has the following values:
 551   # "normal": No complex variable
 552   # "real": Real part of complex result
 553   # "imag": Imaginary part of complex result
 554   open ULP, $file  or die ("Can't open $file: $!");
 555   while (<ULP>) {
 556     chop;
 557     # ignore comments and empty lines
 558     next if /^#/;
 559     next if /^\s*$/;
 560     if (/^Function: /) {
 561       if (/Real part of/) {
 562         s/Real part of //;
 563         $type = 'real';
 564       } elsif (/Imaginary part of/) {
 565         s/Imaginary part of //;
 566         $type = 'imag';
 567       } else {
 568         $type = 'normal';
 569       }
 570       ($test) = ($_ =~ /^Function:\s*\"([a-zA-Z0-9_]+)\"/);
 571       next;
 572     }
 573     if (/^i?(float|double|ldouble):/) {
 574       ($float, $eps) = split /\s*:\s*/,$_,2;
 575
 576       if ($eps eq "0") {
 577         # ignore
 578         next;
 579       } else {
 580         $results{$test}{$type}{'ulp'}{$float} = $eps;
 581         $results{$test}{'has_ulps'} = 1;
 582       }
 583       if ($type =~ /^real|imag$/) {
 584         $results{$test}{'type'} = 'complex';
 585       } elsif ($type eq 'normal') {
 586         $results{$test}{'type'} = 'normal';
 587       }
 588       next;
 589     }
 590     print "Skipping unknown entry: `$_'\n";
 591   }
 592   close ULP;
 593 }
 594
 595
 596 # Clean up a floating point number
 597 sub clean_up_number {
 598   my ($number) = @_;
 599
 600   # Remove trailing zeros after the decimal point
 601   if ($number =~ /\./) {
 602     $number =~ s/0+$//;
 603     $number =~ s/\.$//;
 604   }
 605   return $number;
 606 }
 607
 608 # Output a file which can be read in as ulps file.
 609 sub print_ulps_file {
 610   my ($file) = @_;
 611   my ($test, $type, $float, $eps, $fct, $last_fct);
 612
 613   $last_fct = '';
 614   open NEWULP, ">$file" or die ("Can't open $file: $!");
 615   print NEWULP "# Begin of automatic generation\n";
 616   print NEWULP "\n# Maximal error of functions:\n";
 617
 618   foreach $fct (sort keys %results) {
 619     foreach $type ('real', 'imag', 'normal') {
 620       if (exists $results{$fct}{$type}) {
 621         if ($type eq 'normal') {
 622           print NEWULP "Function: \"$fct\":\n";
 623         } elsif ($type eq 'real') {
 624           print NEWULP "Function: Real part of \"$fct\":\n";
 625         } elsif ($type eq 'imag') {
 626           print NEWULP "Function: Imaginary part of \"$fct\":\n";
 627         }
 628         foreach $float (@all_floats) {
 629           if (exists $results{$fct}{$type}{'ulp'}{$float}) {
 630             print NEWULP "$float: ",
 631             &clean_up_number ($results{$fct}{$type}{'ulp'}{$float}),
 632             "\n";
 633           }
 634         }
 635         print NEWULP "\n";
 636       }
 637     }
 638   }
 639   print NEWULP "# end of automatic generation\n";
 640   close NEWULP;
 641 }
 642
 643 sub get_ulps {
 644   my ($test, $type, $float) = @_;
 645
 646   return (exists $results{$test}{$type}{'ulp'}{$float}
 647           ? $results{$test}{$type}{'ulp'}{$float} : "0");
 648 }
 649
 650 # Return the ulps value for a single test.
 651 sub get_all_ulps_for_test {
 652   my ($test, $type) = @_;
 653   my ($ldouble, $double, $float, $ildouble, $idouble, $ifloat);
 654
 655   if (exists $results{$test}{'has_ulps'}) {
 656     # XXX use all_floats (change order!)
 657     $ldouble = &get_ulps ($test, $type, "ldouble");
 658     $double = &get_ulps ($test, $type, "double");
 659     $float = &get_ulps ($test, $type, "float");
 660     $ildouble = &get_ulps ($test, $type, "ildouble");
 661     $idouble = &get_ulps ($test, $type, "idouble");
 662     $ifloat = &get_ulps ($test, $type, "ifloat");
 663     return "CHOOSE ($ldouble, $double, $float, $ildouble, $idouble, $ifloat)";
 664   } else {
 665     die "get_all_ulps_for_test called for \"$test\" with no ulps\n";
 666   }
 667 }
 668
 669 # Print include file
 670 sub output_ulps {
 671   my ($file, $ulps_filename) = @_;
 672   my ($i, $fct, $type, $ulp, $ulp_real, $ulp_imag);
 673   my (%func_ulps, %func_real_ulps, %func_imag_ulps);
 674
 675   open ULP, ">$file" or die ("Can't open $file: $!");
 676
 677   print ULP "/* This file is automatically generated\n";
 678   print ULP "   from $ulps_filename with gen-libm-test.pl.\n";
 679   print ULP "   Don't change it - change instead the master files.  */\n\n";
 680
 681   foreach $fct (keys %results) {
 682     $type = $results{$fct}{'type'};
 683     if ($type eq 'normal') {
 684       $ulp = get_all_ulps_for_test ($fct, 'normal');
 685     } elsif ($type eq 'complex') {
 686       $ulp_real = get_all_ulps_for_test ($fct, 'real');
 687       $ulp_imag = get_all_ulps_for_test ($fct, 'imag');
 688     } else {
 689       die "unknown results ($fct) type $type\n";
 690     }
 691     if ($type eq 'normal') {
 692       $func_ulps{$fct} = $ulp;
 693     } else {
 694       $func_real_ulps{$fct} = $ulp_real;
 695       $func_imag_ulps{$fct} = $ulp_imag;
 696     }
 697   }
 698   print ULP "\n/* Maximal error of functions.  */\n";
 699   print ULP "static const struct ulp_data func_ulps[] =\n  {\n";
 700   foreach $fct (sort keys %func_ulps) {
 701     print ULP "    { \"$fct\", $func_ulps{$fct} },\n";
 702   }
 703   print ULP "  };\n";
 704   print ULP "static const struct ulp_data func_real_ulps[] =\n  {\n";
 705   foreach $fct (sort keys %func_real_ulps) {
 706     print ULP "    { \"$fct\", $func_real_ulps{$fct} },\n";
 707   }
 708   print ULP "  };\n";
 709   print ULP "static const struct ulp_data func_imag_ulps[] =\n  {\n";
 710   foreach $fct (sort keys %func_imag_ulps) {
 711     print ULP "    { \"$fct\", $func_imag_ulps{$fct} },\n";
 712   }
 713   print ULP "  };\n";
 714   close ULP;
 715 }
 716
 717 # Parse auto-libm-test-out.
 718 sub parse_auto_input {
 719   my ($file) = @_;
 720   open AUTO, $file or die ("Can't open $file: $!");
 721   while (<AUTO>) {
 722     chop;
 723     next if !/^= /;
 724     s/^= //;
 725     if (/^(\S+) (\S+) ([^:]*) : (.*)$/) {
 726       $auto_tests{$1}{$2}{$3} = $4;
 727     } else {
 728       die ("bad automatic test line: $_\n");
 729     }
 730   }
 731   close AUTO;
 732 }