math/gen-libm-test.pl

   1 #!/usr/bin/perl -w
   2 # Copyright (C) 1999-2013 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}{"kind"} is either "fct" or "test" and flags whether this
  25 # is a maximal error of a function or a single test.
  26 # $results{$test}{"type"} is the result type, e.g. normal or complex.
  27 # $results{$test}{"has_ulps"} is set if deltas exist.
  28 # In the following description $type and $float are:
  29 # - $type is either "normal", "real" (for the real part of a complex number)
  30 #   or "imag" (for the imaginary part # of a complex number).
  31 # - $float is either of float, ifloat, double, idouble, ldouble, ildouble;
  32 #   It represents the underlying floating point type (float, double or long
  33 #   double) and if inline functions (the leading i stands for inline)
  34 #   are used.
  35 # $results{$test}{$type}{"ulp"}{$float} is defined and has a delta as value
  36
  37
  38 use Getopt::Std;
  39
  40 use strict;
  41
  42 use vars qw ($input $output);
  43 use vars qw (%results);
  44 use vars qw (@tests @functions);
  45 use vars qw ($count);
  46 use vars qw (%beautify @all_floats);
  47 use vars qw ($output_dir $ulps_file);
  48
  49 # all_floats is sorted and contains all recognised float types
  50 @all_floats = ('double', 'float', 'idouble',
  51                'ifloat', 'ildouble', 'ldouble');
  52
  53 %beautify =
  54   ( "minus_zero" => "-0",
  55     "plus_zero" => "+0",
  56     "minus_infty" => "-inf",
  57     "plus_infty" => "inf",
  58     "qnan_value" => "qNaN",
  59     "M_El" => "e",
  60     "M_E2l" => "e^2",
  61     "M_E3l" => "e^3",
  62     "M_LOG10El", "log10(e)",
  63     "M_PIl" => "pi",
  64     "M_PI_34l" => "3/4 pi",
  65     "M_PI_2l" => "pi/2",
  66     "M_PI_4l" => "pi/4",
  67     "M_PI_6l" => "pi/6",
  68     "M_PI_34_LOG10El" => "3/4 pi*log10(e)",
  69     "M_PI_LOG10El" => "pi*log10(e)",
  70     "M_PI2_LOG10El" => "pi/2*log10(e)",
  71     "M_PI4_LOG10El" => "pi/4*log10(e)",
  72     "M_LOG_SQRT_PIl" => "log(sqrt(pi))",
  73     "M_LOG_2_SQRT_PIl" => "log(2*sqrt(pi))",
  74     "M_2_SQRT_PIl" => "2 sqrt (pi)",
  75     "M_SQRT_PIl" => "sqrt (pi)",
  76   );
  77
  78
  79 # get Options
  80 # Options:
  81 # u: ulps-file
  82 # h: help
  83 # o: output-directory
  84 # n: generate new ulps file
  85 use vars qw($opt_u $opt_h $opt_o $opt_n);
  86 getopts('u:o:nh');
  87
  88 $ulps_file = 'libm-test-ulps';
  89 $output_dir = '';
  90
  91 if ($opt_h) {
  92   print "Usage: gen-libm-test.pl [OPTIONS]\n";
  93   print " -h         print this help, then exit\n";
  94   print " -o DIR     directory where generated files will be placed\n";
  95   print " -n         only generate sorted file NewUlps from libm-test-ulps\n";
  96   print " -u FILE    input file with ulps\n";
  97   exit 0;
  98 }
  99
 100 $ulps_file = $opt_u if ($opt_u);
 101 $output_dir = $opt_o if ($opt_o);
 102
 103 $input = "libm-test.inc";
 104 $output = "${output_dir}libm-test.c";
 105
 106 $count = 0;
 107
 108 &parse_ulps ($ulps_file);
 109 &generate_testfile ($input, $output) unless ($opt_n);
 110 &output_ulps ("${output_dir}libm-test-ulps.h", $ulps_file) unless ($opt_n);
 111 &print_ulps_file ("${output_dir}NewUlps") if ($opt_n);
 112
 113 # Return a nicer representation
 114 sub beautify {
 115   my ($arg) = @_;
 116   my ($tmp);
 117
 118   if (exists $beautify{$arg}) {
 119     return $beautify{$arg};
 120   }
 121   if ($arg =~ /^-/) {
 122     $tmp = $arg;
 123     $tmp =~ s/^-//;
 124     if (exists $beautify{$tmp}) {
 125       return '-' . $beautify{$tmp};
 126     }
 127   }
 128   if ($arg =~ /[0-9]L$/) {
 129     $arg =~ s/L$//;
 130   }
 131   return $arg;
 132 }
 133
 134 # Return a nicer representation of a complex number
 135 sub build_complex_beautify {
 136   my ($r, $i) = @_;
 137   my ($str1, $str2);
 138
 139   $str1 = &beautify ($r);
 140   $str2 = &beautify ($i);
 141   if ($str2 =~ /^-/) {
 142     $str2 =~ s/^-//;
 143     $str1 .= ' - ' . $str2;
 144   } else {
 145     $str1 .= ' + ' . $str2;
 146   }
 147   $str1 .= ' i';
 148   return $str1;
 149 }
 150
 151 # Return name of a variable
 152 sub get_variable {
 153   my ($number) = @_;
 154
 155   return "x" if ($number == 1);
 156   return "y" if ($number == 2);
 157   return "z" if ($number == 3);
 158   # return x1,x2,...
 159   $number =-3;
 160   return "x$number";
 161 }
 162
 163 # Add a new test to internal data structures and fill in the
 164 # ulps and exception information for the C line.
 165 sub new_test {
 166   my ($test, $exception, $show_exception) = @_;
 167   my $rest;
 168
 169   # Add ulp.
 170   if (exists $results{$test}{'has_ulps'}) {
 171     $rest = ", DELTA$count";
 172   } else {
 173     $rest = ', 0';
 174   }
 175   if ($show_exception) {
 176     if (defined $exception) {
 177       $rest .= ", $exception";
 178     } else {
 179       $rest .= ', 0';
 180     }
 181   }
 182   # We must increment here to keep @tests and count in sync
 183   push @tests, $test;
 184   ++$count;
 185   return $rest;
 186 }
 187
 188 # Adjust an argument or expected value for use in a constant
 189 # initializer.
 190 sub adjust_arg {
 191   my ($arg, $in_func) = @_;
 192   if (!$in_func) {
 193     $arg =~ s/(plus_zero|minus_zero|plus_infty|minus_infty|qnan_value
 194                |max_value|min_value|min_subnorm_value)/\U$1\E_INIT/xg;
 195   }
 196   return $arg;
 197 }
 198
 199 # Treat some functions especially.
 200 # Currently only sincos needs extra treatment.
 201 sub special_functions {
 202   my ($file, $in_func, $args) = @_;
 203   my (@args, $str, $test, $cline);
 204
 205   @args = split /,\s*/, $args;
 206
 207   unless ($args[0] =~ /sincos/) {
 208     die ("Don't know how to handle $args[0] extra.");
 209   }
 210   if ($in_func) {
 211     $cline = "  RUN_TEST_sincos (" . adjust_arg ($args[1], $in_func);
 212   } else {
 213     $cline = "    { " . adjust_arg ($args[1], $in_func);
 214   }
 215
 216   $str = 'sincos (' . &beautify ($args[1]) . ', &sin_res, &cos_res)';
 217   # handle sin
 218   $test = $str . ' puts ' . &beautify ($args[2]) . ' in sin_res';
 219
 220   my ($sin_res_var) = ($in_func ? ", sin_res" : "");
 221   $cline .= ", \"$test\"$sin_res_var, " . adjust_arg ($args[2], $in_func);
 222   $cline .= &new_test ($test, $args[4], 0);
 223
 224   # handle cos
 225   $test = $str . ' puts ' . &beautify ($args[3]) . ' in cos_res';
 226   my ($cos_res_var) = ($in_func ? ", cos_res" : "");
 227   $cline .= ", \"$test\"$cos_res_var, " . adjust_arg ($args[3], $in_func);
 228   $cline .= &new_test ($test, $args[4], 1);
 229   if ($in_func) {
 230     $cline .= ");\n";
 231   } else {
 232     $cline .= " },\n";
 233   }
 234   print $file $cline;
 235 }
 236
 237 # Parse the arguments to TEST_x_y
 238 sub parse_args {
 239   my ($file, $descr, $fct, $in_func, $args) = @_;
 240   my (@args, $str, $descr_args, $descr_res, @descr);
 241   my ($current_arg, $cline, $i);
 242   my (@special);
 243   my ($extra_var, $call);
 244
 245   if ($descr eq 'extra') {
 246     &special_functions ($file, $in_func, $args);
 247     return;
 248   }
 249   ($descr_args, $descr_res) = split /_/,$descr, 2;
 250
 251   @args = split /,\s*/, $args;
 252
 253   $call = "$fct (";
 254
 255   # Generate first the string that's shown to the user
 256   $current_arg = 1;
 257   $extra_var = 0;
 258   @descr = split //,$descr_args;
 259   for ($i = 0; $i <= $#descr; $i++) {
 260     if ($i >= 1) {
 261       $call .= ', ';
 262     }
 263     # FLOAT, int, long int, long long int
 264     if ($descr[$i] =~ /f|i|l|L/) {
 265       $call .= &beautify ($args[$current_arg]);
 266       ++$current_arg;
 267       next;
 268     }
 269     # &FLOAT, &int - argument is added here
 270     if ($descr[$i] =~ /F|I/) {
 271       ++$extra_var;
 272       $call .= '&' . &get_variable ($extra_var);
 273       next;
 274     }
 275     # complex
 276     if ($descr[$i] eq 'c') {
 277       $call .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
 278       $current_arg += 2;
 279       next;
 280     }
 281
 282     die ("$descr[$i] is unknown");
 283   }
 284   $call .= ')';
 285   $str = "$call == ";
 286
 287   # Result
 288   @descr = split //,$descr_res;
 289   foreach (@descr) {
 290     if ($_ =~ /f|i|l|L/) {
 291       $str .= &beautify ($args[$current_arg]);
 292       ++$current_arg;
 293     } elsif ($_ eq 'c') {
 294       $str .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
 295       $current_arg += 2;
 296     } elsif ($_ eq 'b') {
 297       # boolean
 298       $str .= ($args[$current_arg] == 0) ? "false" : "true";
 299       ++$current_arg;
 300     } elsif ($_ eq '1') {
 301       ++$current_arg;
 302     } else {
 303       die ("$_ is unknown");
 304     }
 305   }
 306   # consistency check
 307   if ($current_arg == $#args) {
 308     die ("wrong number of arguments")
 309       unless ($args[$current_arg] =~ /EXCEPTION|ERRNO|IGNORE_ZERO_INF_SIGN/);
 310   } elsif ($current_arg < $#args) {
 311     die ("wrong number of arguments");
 312   } elsif ($current_arg > ($#args+1)) {
 313     die ("wrong number of arguments");
 314   }
 315
 316
 317   # Put the C program line together
 318   # Reset some variables to start again
 319   $current_arg = 1;
 320   $extra_var = 0;
 321   if ($in_func) {
 322     $cline = "RUN_TEST_$descr";
 323   } else {
 324     $cline = "{ ";
 325   }
 326   # Special handling for some macros:
 327   if ($in_func && $args[0] =~ /fpclassify|isnormal|isfinite|isinf|isnan
 328       |issignaling|signbit|isgreater|isgreaterequal|isless|islessequal
 329       |islessgreater|isunordered/x) {
 330     $cline = "${cline}_tg";
 331   }
 332   if ($in_func) {
 333     $cline .= " (";
 334   }
 335   $cline .= "\"$str\"";
 336   if ($in_func) {
 337     $cline .= ", $args[0]";
 338   }
 339   @descr = split //,$descr_args;
 340   for ($i=0; $i <= $#descr; $i++) {
 341     # FLOAT, int, long int, long long int
 342     if ($descr[$i] =~ /f|i|l|L/) {
 343       $cline .= ", " . adjust_arg ($args[$current_arg], $in_func);
 344       $current_arg++;
 345       next;
 346     }
 347     # &FLOAT, &int
 348     if ($descr[$i] =~ /F|I/) {
 349       next;
 350     }
 351     # complex
 352     if ($descr[$i] eq 'c') {
 353       $cline .= ", " . adjust_arg ($args[$current_arg], $in_func);
 354       $cline .= ", " . adjust_arg ($args[$current_arg+1], $in_func);
 355       $current_arg += 2;
 356       next;
 357     }
 358   }
 359   $cline .= ", ";
 360
 361   @descr = split //,$descr_res;
 362   foreach (@descr) {
 363     if ($_ =~ /b|f|i|l|L/ ) {
 364       $cline .= adjust_arg ($args[$current_arg], $in_func);
 365       $current_arg++;
 366     } elsif ($_ eq 'c') {
 367       $cline .= adjust_arg ($args[$current_arg], $in_func);
 368       $cline .= ", " . adjust_arg ($args[$current_arg+1], $in_func);
 369       $current_arg += 2;
 370     } elsif ($_ eq '1') {
 371       push @special, $args[$current_arg];
 372       ++$current_arg;
 373     }
 374   }
 375   # Add ulp.
 376   $cline .= &new_test ($str, ($current_arg <= $#args) ? $args[$current_arg] : undef, 1);
 377
 378   # special treatment for some functions
 379   if ($args[0] eq 'frexp') {
 380     if (defined $special[0]) {
 381       my ($extra_expected) = $special[0];
 382       my ($run_extra) = ($extra_expected ne "IGNORE" ? 1 : 0);
 383       my ($str) = "$call sets x to $extra_expected";
 384       my ($out_var) = ($in_func ? ", x" : "");
 385       if (!$run_extra) {
 386         $str = "";
 387         $extra_expected = "0";
 388       }
 389       $cline .= ", \"$str\"$out_var, 123456789, $run_extra, $extra_expected";
 390       if ($run_extra) {
 391         $cline .= &new_test ($str, undef, 0);
 392       } else {
 393         $cline .= ", 0";
 394       }
 395     }
 396   } elsif ($args[0] eq 'gamma' || $args[0] eq 'lgamma') {
 397     if (defined $special[0]) {
 398       my ($extra_expected) = $special[0];
 399       my ($run_extra) = ($extra_expected ne "IGNORE" ? 1 : 0);
 400       my ($str) = "$call sets signgam to $extra_expected";
 401       my ($out_var) = ($in_func ? ", signgam" : "");
 402       if (!$run_extra) {
 403         $str = "";
 404         $extra_expected = "0";
 405       }
 406       $cline .= ", \"$str\"$out_var, 0, $run_extra, $extra_expected";
 407       if ($run_extra) {
 408         $cline .= &new_test ($str, undef, 0);
 409       } else {
 410         $cline .= ", 0";
 411       }
 412     }
 413   } elsif ($args[0] eq 'modf') {
 414     if (defined $special[0]) {
 415       my ($extra_expected) = $special[0];
 416       my ($run_extra) = ($extra_expected ne "IGNORE" ? 1 : 0);
 417       my ($str) = "$call sets x to $extra_expected";
 418       my ($out_var) = ($in_func ? ", x" : "");
 419       if (!$run_extra) {
 420         $str = "";
 421         $extra_expected = "0";
 422       }
 423       $extra_expected = adjust_arg ($extra_expected, $in_func);
 424       $cline .= ", \"$str\"$out_var, 123.456789, $run_extra, $extra_expected";
 425       if ($run_extra) {
 426         $cline .= &new_test ($str, undef, 0);
 427       } else {
 428         $cline .= ", 0";
 429       }
 430     }
 431   } elsif ($args[0] eq 'remquo') {
 432     if (defined $special[0]) {
 433       my ($extra_expected) = $special[0];
 434       my ($run_extra) = ($extra_expected ne "IGNORE" ? 1 : 0);
 435       my ($str) = "$call sets x to $extra_expected";
 436       my ($out_var) = ($in_func ? ", x" : "");
 437       if (!$run_extra) {
 438         $str = "";
 439         $extra_expected = "0";
 440       }
 441       $cline .= ", \"$str\"$out_var, 123456789, $run_extra, $extra_expected";
 442       if ($run_extra) {
 443         $cline .= &new_test ($str, undef, 0);
 444       } else {
 445         $cline .= ", 0";
 446       }
 447     }
 448   }
 449   if ($in_func) {
 450     print $file "  $cline);\n";
 451   } else {
 452     print $file "    $cline },\n";
 453   }
 454 }
 455
 456 # Generate libm-test.c
 457 sub generate_testfile {
 458   my ($input, $output) = @_;
 459   my ($lasttext);
 460   my (@args, $i, $str, $thisfct, $in_func);
 461
 462   open INPUT, $input or die ("Can't open $input: $!");
 463   open OUTPUT, ">$output" or die ("Can't open $output: $!");
 464
 465   # Replace the special macros
 466   $in_func = 0;
 467   while (<INPUT>) {
 468
 469     # TEST_...
 470     if (/^\s*TEST_/) {
 471       my ($descr, $args);
 472       chop;
 473       ($descr, $args) = ($_ =~ /TEST_(\w+)\s*\((.*)\)/);
 474       &parse_args (\*OUTPUT, $descr, $thisfct, $in_func, $args);
 475       next;
 476     }
 477     # START_DATA (function)
 478     if (/START_DATA/) {
 479       ($thisfct) = ($_ =~ /START_DATA\s*\((.*)\)/);
 480       $in_func = 0;
 481       next;
 482     }
 483     # START (function)
 484     if (/START/) {
 485       ($thisfct) = ($_ =~ /START\s*\((.*)\)/);
 486       $in_func = 1;
 487       print OUTPUT "  init_max_error ();\n";
 488       next;
 489     }
 490     # END_DATA (function)
 491     if (/END_DATA/) {
 492       next;
 493     }
 494     # END (function)
 495     if (/END/) {
 496       my ($fct, $line, $type);
 497       $in_func = 0;
 498       if (/complex/) {
 499         s/,\s*complex\s*//;
 500         $type = 'complex';
 501       } else {
 502         $type = 'normal';
 503       }
 504       ($fct) = ($_ =~ /END\s*\((.*)\)/);
 505       if ($type eq 'complex') {
 506         $line = "  print_complex_max_error (\"$fct\", ";
 507       } else {
 508         $line = "  print_max_error (\"$fct\", ";
 509       }
 510       if (exists $results{$fct}{'has_ulps'}) {
 511         $line .= "DELTA$fct";
 512       } else {
 513         $line .= '0';
 514       }
 515       $line .= ");\n";
 516       print OUTPUT $line;
 517       push @functions, $fct;
 518       next;
 519     }
 520     print OUTPUT;
 521   }
 522   close INPUT;
 523   close OUTPUT;
 524 }
 525
 526
 527
 528 # Parse ulps file
 529 sub parse_ulps {
 530   my ($file) = @_;
 531   my ($test, $type, $float, $eps, $kind);
 532
 533   # $type has the following values:
 534   # "normal": No complex variable
 535   # "real": Real part of complex result
 536   # "imag": Imaginary part of complex result
 537   open ULP, $file  or die ("Can't open $file: $!");
 538   while (<ULP>) {
 539     chop;
 540     # ignore comments and empty lines
 541     next if /^#/;
 542     next if /^\s*$/;
 543     if (/^Test/) {
 544       if (/Real part of:/) {
 545         s/Real part of: //;
 546         $type = 'real';
 547       } elsif (/Imaginary part of:/) {
 548         s/Imaginary part of: //;
 549         $type = 'imag';
 550       } else {
 551         $type = 'normal';
 552       }
 553       s/^.+\"(.*)\".*$/$1/;
 554       $test = $_;
 555       $kind = 'test';
 556       next;
 557     }
 558     if (/^Function: /) {
 559       if (/Real part of/) {
 560         s/Real part of //;
 561         $type = 'real';
 562       } elsif (/Imaginary part of/) {
 563         s/Imaginary part of //;
 564         $type = 'imag';
 565       } else {
 566         $type = 'normal';
 567       }
 568       ($test) = ($_ =~ /^Function:\s*\"([a-zA-Z0-9_]+)\"/);
 569       $kind = 'fct';
 570       next;
 571     }
 572     if (/^i?(float|double|ldouble):/) {
 573       ($float, $eps) = split /\s*:\s*/,$_,2;
 574
 575       if ($eps eq "0") {
 576         # ignore
 577         next;
 578       } else {
 579         $results{$test}{$type}{'ulp'}{$float} = $eps;
 580         $results{$test}{'has_ulps'} = 1;
 581       }
 582       if ($type =~ /^real|imag$/) {
 583         $results{$test}{'type'} = 'complex';
 584       } elsif ($type eq 'normal') {
 585         $results{$test}{'type'} = 'normal';
 586       }
 587       $results{$test}{'kind'} = $kind;
 588       next;
 589     }
 590     print "Skipping unknown entry: `$_'\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   # first the function calls
 617   foreach $test (sort keys %results) {
 618     next if ($results{$test}{'kind'} ne 'test');
 619     foreach $type ('real', 'imag', 'normal') {
 620       if (exists $results{$test}{$type}) {
 621         if (defined $results{$test}) {
 622           ($fct) = ($test =~ /^(\w+)\s/);
 623           if ($fct ne $last_fct) {
 624             $last_fct = $fct;
 625             print NEWULP "\n# $fct\n";
 626           }
 627         }
 628         if ($type eq 'normal') {
 629           print NEWULP "Test \"$test\":\n";
 630         } elsif ($type eq 'real') {
 631           print NEWULP "Test \"Real part of: $test\":\n";
 632         } elsif ($type eq 'imag') {
 633           print NEWULP "Test \"Imaginary part of: $test\":\n";
 634         }
 635         foreach $float (@all_floats) {
 636           if (exists $results{$test}{$type}{'ulp'}{$float}) {
 637             print NEWULP "$float: ",
 638             &clean_up_number ($results{$test}{$type}{'ulp'}{$float}),
 639             "\n";
 640           }
 641         }
 642       }
 643     }
 644   }
 645   print NEWULP "\n# Maximal error of functions:\n";
 646
 647   foreach $fct (sort keys %results) {
 648     next if ($results{$fct}{'kind'} ne 'fct');
 649     foreach $type ('real', 'imag', 'normal') {
 650       if (exists $results{$fct}{$type}) {
 651         if ($type eq 'normal') {
 652           print NEWULP "Function: \"$fct\":\n";
 653         } elsif ($type eq 'real') {
 654           print NEWULP "Function: Real part of \"$fct\":\n";
 655         } elsif ($type eq 'imag') {
 656           print NEWULP "Function: Imaginary part of \"$fct\":\n";
 657         }
 658         foreach $float (@all_floats) {
 659           if (exists $results{$fct}{$type}{'ulp'}{$float}) {
 660             print NEWULP "$float: ",
 661             &clean_up_number ($results{$fct}{$type}{'ulp'}{$float}),
 662             "\n";
 663           }
 664         }
 665         print NEWULP "\n";
 666       }
 667     }
 668   }
 669   print NEWULP "# end of automatic generation\n";
 670   close NEWULP;
 671 }
 672
 673 sub get_ulps {
 674   my ($test, $type, $float) = @_;
 675
 676   if ($type eq 'complex') {
 677     my ($res);
 678     # Return 0 instead of BUILD_COMPLEX (0,0)
 679     if (!exists $results{$test}{'real'}{'ulp'}{$float} &&
 680         !exists $results{$test}{'imag'}{'ulp'}{$float}) {
 681       return "0";
 682     }
 683     $res = 'BUILD_COMPLEX (';
 684     $res .= (exists $results{$test}{'real'}{'ulp'}{$float}
 685              ? $results{$test}{'real'}{'ulp'}{$float} : "0");
 686     $res .= ', ';
 687     $res .= (exists $results{$test}{'imag'}{'ulp'}{$float}
 688              ? $results{$test}{'imag'}{'ulp'}{$float} : "0");
 689     $res .= ')';
 690     return $res;
 691   }
 692   return (exists $results{$test}{'normal'}{'ulp'}{$float}
 693           ? $results{$test}{'normal'}{'ulp'}{$float} : "0");
 694 }
 695
 696 # Output the defines for a single test
 697 sub output_test {
 698   my ($file, $test, $name) = @_;
 699   my ($ldouble, $double, $float, $ildouble, $idouble, $ifloat);
 700   my ($type);
 701
 702   # Do we have ulps?
 703   if (!exists $results{$test}{'type'}) {
 704     return;
 705   }
 706   $type = $results{$test}{'type'};
 707   if (exists $results{$test}{'has_ulps'}) {
 708     # XXX use all_floats (change order!)
 709     $ldouble = &get_ulps ($test, $type, "ldouble");
 710     $double = &get_ulps ($test, $type, "double");
 711     $float = &get_ulps ($test, $type, "float");
 712     $ildouble = &get_ulps ($test, $type, "ildouble");
 713     $idouble = &get_ulps ($test, $type, "idouble");
 714     $ifloat = &get_ulps ($test, $type, "ifloat");
 715     print $file "#define DELTA$name CHOOSE($ldouble, $double, $float, $ildouble, $idouble, $ifloat)\t/* $test  */\n";
 716   }
 717 }
 718
 719 # Print include file
 720 sub output_ulps {
 721   my ($file, $ulps_filename) = @_;
 722   my ($i, $fct);
 723
 724   open ULP, ">$file" or die ("Can't open $file: $!");
 725
 726   print ULP "/* This file is automatically generated\n";
 727   print ULP "   from $ulps_filename with gen-libm-test.pl.\n";
 728   print ULP "   Don't change it - change instead the master files.  */\n\n";
 729
 730   print ULP "\n/* Maximal error of functions.  */\n";
 731   foreach $fct (@functions) {
 732     output_test (\*ULP, $fct, $fct);
 733   }
 734
 735   print ULP "\n/* Error of single function calls.  */\n";
 736   for ($i = 0; $i < $count; $i++) {
 737     output_test (\*ULP, $tests[$i], $i);
 738   }
 739   close ULP;
 740 }