math/gen-libm-test.pl

   1 #!/usr/bin/perl -w
   2 # Copyright (C) 1999-2012 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 # $results{$test}{"has_fails"} is set if exptected failures exist.
  29 # In the following description $type and $float are:
  30 # - $type is either "normal", "real" (for the real part of a complex number)
  31 #   or "imag" (for the imaginary part # of a complex number).
  32 # - $float is either of float, ifloat, double, idouble, ldouble, ildouble;
  33 #   It represents the underlying floating point type (float, double or long
  34 #   double) and if inline functions (the leading i stands for inline)
  35 #   are used.
  36 # $results{$test}{$type}{"fail"}{$float} is defined and has a 1 if
  37 # the test is expected to fail
  38 # $results{$test}{$type}{"ulp"}{$float} is defined and has a delta as value
  39
  40
  41 use Getopt::Std;
  42
  43 use strict;
  44
  45 use vars qw ($input $output);
  46 use vars qw (%results);
  47 use vars qw (@tests @functions);
  48 use vars qw ($count);
  49 use vars qw (%beautify @all_floats);
  50 use vars qw ($output_dir $ulps_file);
  51
  52 # all_floats is sorted and contains all recognised float types
  53 @all_floats = ('double', 'float', 'idouble',
  54                'ifloat', 'ildouble', 'ldouble');
  55
  56 %beautify =
  57   ( "minus_zero" => "-0",
  58     "plus_zero" => "+0",
  59     "minus_infty" => "-inf",
  60     "plus_infty" => "inf",
  61     "nan_value" => "NaN",
  62     "M_El" => "e",
  63     "M_E2l" => "e^2",
  64     "M_E3l" => "e^3",
  65     "M_LOG10El", "log10(e)",
  66     "M_PIl" => "pi",
  67     "M_PI_34l" => "3/4 pi",
  68     "M_PI_2l" => "pi/2",
  69     "M_PI_4l" => "pi/4",
  70     "M_PI_6l" => "pi/6",
  71     "M_PI_34_LOG10El" => "3/4 pi*log10(e)",
  72     "M_PI_LOG10El" => "pi*log10(e)",
  73     "M_PI2_LOG10El" => "pi/2*log10(e)",
  74     "M_PI4_LOG10El" => "pi/4*log10(e)",
  75     "M_LOG_SQRT_PIl" => "log(sqrt(pi))",
  76     "M_LOG_2_SQRT_PIl" => "log(2*sqrt(pi))",
  77     "M_2_SQRT_PIl" => "2 sqrt (pi)",
  78     "M_SQRT_PIl" => "sqrt (pi)",
  79     "INVALID_EXCEPTION" => "invalid exception",
  80     "DIVIDE_BY_ZERO_EXCEPTION" => "division by zero exception",
  81     "OVERFLOW_EXCEPTION" => "overflow exception",
  82     "INVALID_EXCEPTION_OK" => "invalid exception allowed",
  83     "DIVIDE_BY_ZERO_EXCEPTION_OK" => "division by zero exception allowed",
  84     "OVERFLOW_EXCEPTION_OK" => "overflow exception allowed",
  85     "EXCEPTIONS_OK" => "exceptions allowed",
  86     "IGNORE_ZERO_INF_SIGN" => "sign of zero/inf not specified",
  87 "INVALID_EXCEPTION|IGNORE_ZERO_INF_SIGN" => "invalid exception and sign of zero/inf not specified"
  88   );
  89
  90
  91 # get Options
  92 # Options:
  93 # u: ulps-file
  94 # h: help
  95 # o: output-directory
  96 # n: generate new ulps file
  97 use vars qw($opt_u $opt_h $opt_o $opt_n);
  98 getopts('u:o:nh');
  99
 100 $ulps_file = 'libm-test-ulps';
 101 $output_dir = '';
 102
 103 if ($opt_h) {
 104   print "Usage: gen-libm-test.pl [OPTIONS]\n";
 105   print " -h         print this help, then exit\n";
 106   print " -o DIR     directory where generated files will be placed\n";
 107   print " -n         only generate sorted file NewUlps from libm-test-ulps\n";
 108   print " -u FILE    input file with ulps\n";
 109   exit 0;
 110 }
 111
 112 $ulps_file = $opt_u if ($opt_u);
 113 $output_dir = $opt_o if ($opt_o);
 114
 115 $input = "libm-test.inc";
 116 $output = "${output_dir}libm-test.c";
 117
 118 $count = 0;
 119
 120 &parse_ulps ($ulps_file);
 121 &generate_testfile ($input, $output) unless ($opt_n);
 122 &output_ulps ("${output_dir}libm-test-ulps.h", $ulps_file) unless ($opt_n);
 123 &print_ulps_file ("${output_dir}NewUlps") if ($opt_n);
 124
 125 # Return a nicer representation
 126 sub beautify {
 127   my ($arg) = @_;
 128   my ($tmp);
 129
 130   if (exists $beautify{$arg}) {
 131     return $beautify{$arg};
 132   }
 133   if ($arg =~ /^-/) {
 134     $tmp = $arg;
 135     $tmp =~ s/^-//;
 136     if (exists $beautify{$tmp}) {
 137       return '-' . $beautify{$tmp};
 138     }
 139   }
 140   if ($arg =~ /[0-9]L$/) {
 141     $arg =~ s/L$//;
 142   }
 143   return $arg;
 144 }
 145
 146 # Return a nicer representation of a complex number
 147 sub build_complex_beautify {
 148   my ($r, $i) = @_;
 149   my ($str1, $str2);
 150
 151   $str1 = &beautify ($r);
 152   $str2 = &beautify ($i);
 153   if ($str2 =~ /^-/) {
 154     $str2 =~ s/^-//;
 155     $str1 .= ' - ' . $str2;
 156   } else {
 157     $str1 .= ' + ' . $str2;
 158   }
 159   $str1 .= ' i';
 160   return $str1;
 161 }
 162
 163 # Return name of a variable
 164 sub get_variable {
 165   my ($number) = @_;
 166
 167   return "x" if ($number == 1);
 168   return "y" if ($number == 2);
 169   return "z" if ($number == 3);
 170   # return x1,x2,...
 171   $number =-3;
 172   return "x$number";
 173 }
 174
 175 # Add a new test to internal data structures and fill in the
 176 # ulps, failures and exception information for the C line.
 177 sub new_test {
 178   my ($test, $exception) = @_;
 179   my $rest;
 180
 181   # Add ulp, xfail
 182   if (exists $results{$test}{'has_ulps'}) {
 183     $rest = ", DELTA$count";
 184   } else {
 185     $rest = ', 0';
 186   }
 187   if (exists $results{$test}{'has_fails'}) {
 188     $rest .= ", FAIL$count";
 189   } else {
 190     $rest .= ', 0';
 191   }
 192   if (defined $exception) {
 193     $rest .= ", $exception";
 194   } else {
 195     $rest .= ', 0';
 196   }
 197   $rest .= ");\n";
 198   # We must increment here to keep @tests and count in sync
 199   push @tests, $test;
 200   ++$count;
 201   return $rest;
 202 }
 203
 204 # Treat some functions especially.
 205 # Currently only sincos needs extra treatment.
 206 sub special_functions {
 207   my ($file, $args) = @_;
 208   my (@args, $str, $test, $cline);
 209
 210   @args = split /,\s*/, $args;
 211
 212   unless ($args[0] =~ /sincos/) {
 213     die ("Don't know how to handle $args[0] extra.");
 214   }
 215   print $file "  FUNC (sincos) ($args[1], &sin_res, &cos_res);\n";
 216
 217   $str = 'sincos (' . &beautify ($args[1]) . ', &sin_res, &cos_res)';
 218   # handle sin
 219   $test = $str . ' puts ' . &beautify ($args[2]) . ' in sin_res';
 220   if ($#args == 4) {
 221     $test .= " plus " . &beautify ($args[4]);
 222   }
 223
 224   $cline = "  check_float (\"$test\", sin_res, $args[2]";
 225   $cline .= &new_test ($test, $args[4]);
 226   print $file $cline;
 227
 228   # handle cos
 229   $test = $str . ' puts ' . &beautify ($args[3]) . ' in cos_res';
 230   $cline = "  check_float (\"$test\", cos_res, $args[3]";
 231   # only tests once for exception
 232   $cline .= &new_test ($test, undef);
 233   print $file $cline;
 234 }
 235
 236 # Parse the arguments to TEST_x_y
 237 sub parse_args {
 238   my ($file, $descr, $fct, $args) = @_;
 239   my (@args, $str, $descr_args, $descr_res, @descr);
 240   my ($current_arg, $cline, $i);
 241   my ($pre, $post, @special);
 242   my ($extra_var, $call, $c_call);
 243
 244   if ($descr eq 'extra') {
 245     &special_functions ($file, $args);
 246     return;
 247   }
 248   ($descr_args, $descr_res) = split /_/,$descr, 2;
 249
 250   @args = split /,\s*/, $args;
 251
 252   $call = "$fct (";
 253
 254   # Generate first the string that's shown to the user
 255   $current_arg = 1;
 256   $extra_var = 0;
 257   @descr = split //,$descr_args;
 258   for ($i = 0; $i <= $#descr; $i++) {
 259     if ($i >= 1) {
 260       $call .= ', ';
 261     }
 262     # FLOAT, int, long int, long long int
 263     if ($descr[$i] =~ /f|i|l|L/) {
 264       $call .= &beautify ($args[$current_arg]);
 265       ++$current_arg;
 266       next;
 267     }
 268     # &FLOAT, &int - argument is added here
 269     if ($descr[$i] =~ /F|I/) {
 270       ++$extra_var;
 271       $call .= '&' . &get_variable ($extra_var);
 272       next;
 273     }
 274     # complex
 275     if ($descr[$i] eq 'c') {
 276       $call .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
 277       $current_arg += 2;
 278       next;
 279     }
 280
 281     die ("$descr[$i] is unknown");
 282   }
 283   $call .= ')';
 284   $str = "$call == ";
 285
 286   # Result
 287   @descr = split //,$descr_res;
 288   foreach (@descr) {
 289     if ($_ =~ /f|i|l|L/) {
 290       $str .= &beautify ($args[$current_arg]);
 291       ++$current_arg;
 292     } elsif ($_ eq 'c') {
 293       $str .= &build_complex_beautify ($args[$current_arg], $args[$current_arg+1]);
 294       $current_arg += 2;
 295     } elsif ($_ eq 'b') {
 296       # boolean
 297       $str .= ($args[$current_arg] == 0) ? "false" : "true";
 298       ++$current_arg;
 299     } elsif ($_ eq '1') {
 300       ++$current_arg;
 301     } else {
 302       die ("$_ is unknown");
 303     }
 304   }
 305   # consistency check
 306   if ($current_arg == $#args) {
 307     die ("wrong number of arguments")
 308       unless ($args[$current_arg] =~ /EXCEPTION|IGNORE_ZERO_INF_SIGN/);
 309   } elsif ($current_arg < $#args) {
 310     die ("wrong number of arguments");
 311   } elsif ($current_arg > ($#args+1)) {
 312     die ("wrong number of arguments");
 313   }
 314
 315
 316   # check for exceptions
 317   if ($current_arg <= $#args) {
 318     $str .= " plus " . &beautify ($args[$current_arg]);
 319   }
 320
 321   # Put the C program line together
 322   # Reset some variables to start again
 323   $current_arg = 1;
 324   $extra_var = 0;
 325   if (substr($descr_res,0,1) eq 'f') {
 326     $cline = 'check_float'
 327   } elsif (substr($descr_res,0,1) eq 'b') {
 328     $cline = 'check_bool';
 329   } elsif (substr($descr_res,0,1) eq 'c') {
 330     $cline = 'check_complex';
 331   } elsif (substr($descr_res,0,1) eq 'i') {
 332     $cline = 'check_int';
 333   } elsif (substr($descr_res,0,1) eq 'l') {
 334     $cline = 'check_long';
 335   } elsif (substr($descr_res,0,1) eq 'L') {
 336     $cline = 'check_longlong';
 337   }
 338   # Special handling for some macros:
 339   $cline .= " (\"$str\", ";
 340   if ($args[0] =~ /fpclassify|isnormal|isfinite|signbit/) {
 341     $c_call = "$args[0] (";
 342   } else {
 343     $c_call = " FUNC($args[0]) (";
 344   }
 345   @descr = split //,$descr_args;
 346   for ($i=0; $i <= $#descr; $i++) {
 347     if ($i >= 1) {
 348       $c_call .= ', ';
 349     }
 350     # FLOAT, int, long int, long long int
 351     if ($descr[$i] =~ /f|i|l|L/) {
 352       $c_call .= $args[$current_arg];
 353       $current_arg++;
 354       next;
 355     }
 356     # &FLOAT, &int
 357     if ($descr[$i] =~ /F|I/) {
 358       ++$extra_var;
 359       $c_call .= '&' . &get_variable ($extra_var);
 360       next;
 361     }
 362     # complex
 363     if ($descr[$i] eq 'c') {
 364       $c_call .= "BUILD_COMPLEX ($args[$current_arg], $args[$current_arg+1])";
 365       $current_arg += 2;
 366       next;
 367     }
 368   }
 369   $c_call .= ')';
 370   $cline .= "$c_call, ";
 371
 372   @descr = split //,$descr_res;
 373   foreach (@descr) {
 374     if ($_ =~ /b|f|i|l|L/ ) {
 375       $cline .= $args[$current_arg];
 376       $current_arg++;
 377     } elsif ($_ eq 'c') {
 378       $cline .= "BUILD_COMPLEX ($args[$current_arg], $args[$current_arg+1])";
 379       $current_arg += 2;
 380     } elsif ($_ eq '1') {
 381       push @special, $args[$current_arg];
 382       ++$current_arg;
 383     }
 384   }
 385   # Add ulp, xfail
 386   $cline .= &new_test ($str, ($current_arg <= $#args) ? $args[$current_arg] : undef);
 387
 388   # special treatment for some functions
 389   if ($args[0] eq 'frexp') {
 390     if (defined $special[0] && $special[0] ne "IGNORE") {
 391       my ($str) = "$call sets x to $special[0]";
 392       $post = "  check_int (\"$str\", x, $special[0]";
 393       $post .= &new_test ($str, undef);
 394     }
 395   } elsif ($args[0] eq 'gamma' || $args[0] eq 'lgamma') {
 396     $pre = "  signgam = 0;\n";
 397     if (defined $special[0] && $special[0] ne "IGNORE") {
 398       my ($str) = "$call sets signgam to $special[0]";
 399       $post = "  check_int (\"$str\", signgam, $special[0]";
 400       $post .= &new_test ($str, undef);
 401     }
 402   } elsif ($args[0] eq 'modf') {
 403     if (defined $special[0] && $special[0] ne "IGNORE") {
 404       my ($str) = "$call sets x to $special[0]";
 405       $post = "  check_float (\"$str\", x, $special[0]";
 406       $post .= &new_test ($str, undef);
 407     }
 408   } elsif ($args[0] eq 'remquo') {
 409     if (defined $special[0] && $special[0] ne "IGNORE") {
 410       my ($str) = "$call sets x to $special[0]";
 411       $post = "  check_int (\"$str\", x, $special[0]";
 412       $post .= &new_test ($str, undef);
 413     }
 414   }
 415
 416   print $file $pre if (defined $pre);
 417
 418   print $file "  $cline";
 419
 420   print $file $post if (defined $post);
 421 }
 422
 423 # Generate libm-test.c
 424 sub generate_testfile {
 425   my ($input, $output) = @_;
 426   my ($lasttext);
 427   my (@args, $i, $str, $thisfct);
 428
 429   open INPUT, $input or die ("Can't open $input: $!");
 430   open OUTPUT, ">$output" or die ("Can't open $output: $!");
 431
 432   # Replace the special macros
 433   while (<INPUT>) {
 434
 435     # TEST_...
 436     if (/^\s*TEST_/) {
 437       my ($descr, $args);
 438       chop;
 439       ($descr, $args) = ($_ =~ /TEST_(\w+)\s*\((.*)\)/);
 440       &parse_args (\*OUTPUT, $descr, $thisfct, $args);
 441       next;
 442     }
 443     # START (function)
 444     if (/START/) {
 445       ($thisfct) = ($_ =~ /START\s*\((.*)\)/);
 446       print OUTPUT "  init_max_error ();\n";
 447       next;
 448     }
 449     # END (function)
 450     if (/END/) {
 451       my ($fct, $line, $type);
 452       if (/complex/) {
 453         s/,\s*complex\s*//;
 454         $type = 'complex';
 455       } else {
 456         $type = 'normal';
 457       }
 458       ($fct) = ($_ =~ /END\s*\((.*)\)/);
 459       if ($type eq 'complex') {
 460         $line = "  print_complex_max_error (\"$fct\", ";
 461       } else {
 462         $line = "  print_max_error (\"$fct\", ";
 463       }
 464       if (exists $results{$fct}{'has_ulps'}) {
 465         $line .= "DELTA$fct";
 466       } else {
 467         $line .= '0';
 468       }
 469       if (exists $results{$fct}{'has_fails'}) {
 470         $line .= ", FAIL$fct";
 471       } else {
 472         $line .= ', 0';
 473       }
 474       $line .= ");\n";
 475       print OUTPUT $line;
 476       push @functions, $fct;
 477       next;
 478     }
 479     print OUTPUT;
 480   }
 481   close INPUT;
 482   close OUTPUT;
 483 }
 484
 485
 486
 487 # Parse ulps file
 488 sub parse_ulps {
 489   my ($file) = @_;
 490   my ($test, $type, $float, $eps, $kind);
 491
 492   # $type has the following values:
 493   # "normal": No complex variable
 494   # "real": Real part of complex result
 495   # "imag": Imaginary part of complex result
 496   open ULP, $file  or die ("Can't open $file: $!");
 497   while (<ULP>) {
 498     chop;
 499     # ignore comments and empty lines
 500     next if /^#/;
 501     next if /^\s*$/;
 502     if (/^Test/) {
 503       if (/Real part of:/) {
 504         s/Real part of: //;
 505         $type = 'real';
 506       } elsif (/Imaginary part of:/) {
 507         s/Imaginary part of: //;
 508         $type = 'imag';
 509       } else {
 510         $type = 'normal';
 511       }
 512       s/^.+\"(.*)\".*$/$1/;
 513       $test = $_;
 514       $kind = 'test';
 515       next;
 516     }
 517     if (/^Function: /) {
 518       if (/Real part of/) {
 519         s/Real part of //;
 520         $type = 'real';
 521       } elsif (/Imaginary part of/) {
 522         s/Imaginary part of //;
 523         $type = 'imag';
 524       } else {
 525         $type = 'normal';
 526       }
 527       ($test) = ($_ =~ /^Function:\s*\"([a-zA-Z0-9_]+)\"/);
 528       $kind = 'fct';
 529       next;
 530     }
 531     if (/^i?(float|double|ldouble):/) {
 532       ($float, $eps) = split /\s*:\s*/,$_,2;
 533
 534       if ($eps eq 'fail') {
 535         $results{$test}{$type}{'fail'}{$float} = 1;
 536         $results{$test}{'has_fails'} = 1;
 537       } elsif ($eps eq "0") {
 538         # ignore
 539         next;
 540       } else {
 541         $results{$test}{$type}{'ulp'}{$float} = $eps;
 542         $results{$test}{'has_ulps'} = 1;
 543       }
 544       if ($type =~ /^real|imag$/) {
 545         $results{$test}{'type'} = 'complex';
 546       } elsif ($type eq 'normal') {
 547         $results{$test}{'type'} = 'normal';
 548       }
 549       $results{$test}{'kind'} = $kind;
 550       next;
 551     }
 552     print "Skipping unknown entry: `$_'\n";
 553   }
 554   close ULP;
 555 }
 556
 557
 558 # Clean up a floating point number
 559 sub clean_up_number {
 560   my ($number) = @_;
 561
 562   # Remove trailing zeros after the decimal point
 563   if ($number =~ /\./) {
 564     $number =~ s/0+$//;
 565     $number =~ s/\.$//;
 566   }
 567   return $number;
 568 }
 569
 570 # Output a file which can be read in as ulps file.
 571 sub print_ulps_file {
 572   my ($file) = @_;
 573   my ($test, $type, $float, $eps, $fct, $last_fct);
 574
 575   $last_fct = '';
 576   open NEWULP, ">$file" or die ("Can't open $file: $!");
 577   print NEWULP "# Begin of automatic generation\n";
 578   # first the function calls
 579   foreach $test (sort keys %results) {
 580     next if ($results{$test}{'kind'} ne 'test');
 581     foreach $type ('real', 'imag', 'normal') {
 582       if (exists $results{$test}{$type}) {
 583         if (defined $results{$test}) {
 584           ($fct) = ($test =~ /^(\w+)\s/);
 585           if ($fct ne $last_fct) {
 586             $last_fct = $fct;
 587             print NEWULP "\n# $fct\n";
 588           }
 589         }
 590         if ($type eq 'normal') {
 591           print NEWULP "Test \"$test\":\n";
 592         } elsif ($type eq 'real') {
 593           print NEWULP "Test \"Real part of: $test\":\n";
 594         } elsif ($type eq 'imag') {
 595           print NEWULP "Test \"Imaginary part of: $test\":\n";
 596         }
 597         foreach $float (@all_floats) {
 598           if (exists $results{$test}{$type}{'ulp'}{$float}) {
 599             print NEWULP "$float: ",
 600             &clean_up_number ($results{$test}{$type}{'ulp'}{$float}),
 601             "\n";
 602           }
 603           if (exists $results{$test}{$type}{'fail'}{$float}) {
 604             print NEWULP "$float: fail\n";
 605           }
 606         }
 607       }
 608     }
 609   }
 610   print NEWULP "\n# Maximal error of functions:\n";
 611
 612   foreach $fct (sort keys %results) {
 613     next if ($results{$fct}{'kind'} ne 'fct');
 614     foreach $type ('real', 'imag', 'normal') {
 615       if (exists $results{$fct}{$type}) {
 616         if ($type eq 'normal') {
 617           print NEWULP "Function: \"$fct\":\n";
 618         } elsif ($type eq 'real') {
 619           print NEWULP "Function: Real part of \"$fct\":\n";
 620         } elsif ($type eq 'imag') {
 621           print NEWULP "Function: Imaginary part of \"$fct\":\n";
 622         }
 623         foreach $float (@all_floats) {
 624           if (exists $results{$fct}{$type}{'ulp'}{$float}) {
 625             print NEWULP "$float: ",
 626             &clean_up_number ($results{$fct}{$type}{'ulp'}{$float}),
 627             "\n";
 628           }
 629           if (exists $results{$fct}{$type}{'fail'}{$float}) {
 630             print NEWULP "$float: fail\n";
 631           }
 632         }
 633         print NEWULP "\n";
 634       }
 635     }
 636   }
 637   print NEWULP "# end of automatic generation\n";
 638   close NEWULP;
 639 }
 640
 641 sub get_ulps {
 642   my ($test, $type, $float) = @_;
 643
 644   if ($type eq 'complex') {
 645     my ($res);
 646     # Return 0 instead of BUILD_COMPLEX (0,0)
 647     if (!exists $results{$test}{'real'}{'ulp'}{$float} &&
 648         !exists $results{$test}{'imag'}{'ulp'}{$float}) {
 649       return "0";
 650     }
 651     $res = 'BUILD_COMPLEX (';
 652     $res .= (exists $results{$test}{'real'}{'ulp'}{$float}
 653              ? $results{$test}{'real'}{'ulp'}{$float} : "0");
 654     $res .= ', ';
 655     $res .= (exists $results{$test}{'imag'}{'ulp'}{$float}
 656              ? $results{$test}{'imag'}{'ulp'}{$float} : "0");
 657     $res .= ')';
 658     return $res;
 659   }
 660   return (exists $results{$test}{'normal'}{'ulp'}{$float}
 661           ? $results{$test}{'normal'}{'ulp'}{$float} : "0");
 662 }
 663
 664 sub get_failure {
 665   my ($test, $type, $float) = @_;
 666   if ($type eq 'complex') {
 667     # return x,y
 668     my ($res);
 669     # Return 0 instead of BUILD_COMPLEX_INT (0,0)
 670     if (!exists $results{$test}{'real'}{'ulp'}{$float} &&
 671         !exists $results{$test}{'imag'}{'ulp'}{$float}) {
 672       return "0";
 673     }
 674     $res = 'BUILD_COMPLEX_INT (';
 675     $res .= (exists $results{$test}{'real'}{'fail'}{$float}
 676              ? $results{$test}{'real'}{'fail'}{$float} : "0");
 677     $res .= ', ';
 678     $res .= (exists $results{$test}{'imag'}{'fail'}{$float}
 679              ? $results{$test}{'imag'}{'fail'}{$float} : "0");
 680     $res .= ')';
 681     return $res;
 682   }
 683   return (exists $results{$test}{'normal'}{'fail'}{$float}
 684           ? $results{$test}{'normal'}{'fail'}{$float} : "0");
 685
 686 }
 687
 688 # Output the defines for a single test
 689 sub output_test {
 690   my ($file, $test, $name) = @_;
 691   my ($ldouble, $double, $float, $ildouble, $idouble, $ifloat);
 692   my ($type);
 693
 694   # Do we have ulps/failures?
 695   if (!exists $results{$test}{'type'}) {
 696     return;
 697   }
 698   $type = $results{$test}{'type'};
 699   if (exists $results{$test}{'has_ulps'}) {
 700     # XXX use all_floats (change order!)
 701     $ldouble = &get_ulps ($test, $type, "ldouble");
 702     $double = &get_ulps ($test, $type, "double");
 703     $float = &get_ulps ($test, $type, "float");
 704     $ildouble = &get_ulps ($test, $type, "ildouble");
 705     $idouble = &get_ulps ($test, $type, "idouble");
 706     $ifloat = &get_ulps ($test, $type, "ifloat");
 707     print $file "#define DELTA$name CHOOSE($ldouble, $double, $float, $ildouble, $idouble, $ifloat)\t/* $test  */\n";
 708   }
 709
 710   if (exists $results{$test}{'has_fails'}) {
 711     $ldouble = &get_failure ($test, "ldouble");
 712     $double = &get_failure ($test, "double");
 713     $float = &get_failure ($test, "float");
 714     $ildouble = &get_failure ($test, "ildouble");
 715     $idouble = &get_failure ($test, "idouble");
 716     $ifloat = &get_failure ($test, "ifloat");
 717     print $file "#define FAIL$name CHOOSE($ldouble, $double, $float $ildouble, $idouble, $ifloat)\t/* $test  */\n";
 718   }
 719 }
 720
 721 # Print include file
 722 sub output_ulps {
 723   my ($file, $ulps_filename) = @_;
 724   my ($i, $fct);
 725
 726   open ULP, ">$file" or die ("Can't open $file: $!");
 727
 728   print ULP "/* This file is automatically generated\n";
 729   print ULP "   from $ulps_filename with gen-libm-test.pl.\n";
 730   print ULP "   Don't change it - change instead the master files.  */\n\n";
 731
 732   print ULP "\n/* Maximal error of functions.  */\n";
 733   foreach $fct (@functions) {
 734     output_test (\*ULP, $fct, $fct);
 735   }
 736
 737   print ULP "\n/* Error of single function calls.  */\n";
 738   for ($i = 0; $i < $count; $i++) {
 739     output_test (\*ULP, $tests[$i], $i);
 740   }
 741   close ULP;
 742 }