math/gen-libm-test.py

   1 #!/usr/bin/python3
   2 # Generate tests for libm functions.
   3 # Copyright (C) 2018-2021 Free Software Foundation, Inc.
   4 # This file is part of the GNU C Library.
   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 # <https://www.gnu.org/licenses/>.
  19
  20 import argparse
  21 from collections import defaultdict
  22 import os
  23 import re
  24
  25
  26 # Sorted list of all float types in ulps files.
  27 ALL_FLOATS = ('double', 'float', 'float128', 'ldouble')
  28
  29 # Map float types in ulps files to C-like prefix for macros.
  30 ALL_FLOATS_PFX = {'double': 'DBL',
  31                   'ldouble': 'LDBL',
  32                   'float': 'FLT',
  33                   'float128': 'FLT128'}
  34
  35 # Float types in the order used in the generated ulps tables in the
  36 # manual.
  37 ALL_FLOATS_MANUAL = ('float', 'double', 'ldouble', 'float128')
  38
  39 # Map float types in ulps files to C function suffix.
  40 ALL_FLOATS_SUFFIX = {'double': '',
  41                      'ldouble': 'l',
  42                      'float': 'f',
  43                      'float128': 'f128'}
  44
  45 # Number of arguments in structure (as opposed to arguments that are
  46 # pointers to return values) for an argument descriptor.
  47 DESCR_NUM_ARGS = {'f': 1, 'a': 1, 'j': 1, 'i': 1, 'u': 1, 'l': 1, 'L': 1,
  48                   'p': 0, 'F': 0, 'I': 0,
  49                   'c': 2}
  50
  51 # Number of results in structure for a result descriptor.
  52 DESCR_NUM_RES = {'f': 1, 'i': 1, 'l': 1, 'L': 1, 'M': 1, 'U': 1, 'b': 1,
  53                  '1': 1,
  54                  'c': 2}
  55
  56 # Rounding modes, in the form in which they appear in
  57 # auto-libm-test-out-* and the order in which expected results appear
  58 # in structures and TEST_* calls.
  59 ROUNDING_MODES = ('downward', 'tonearest', 'towardzero', 'upward')
  60
  61 # Map from special text in TEST_* calls for rounding-mode-specific
  62 # results and flags, to those results for each mode.
  63 ROUNDING_MAP = {
  64     'plus_oflow': ('max_value', 'plus_infty', 'max_value', 'plus_infty'),
  65     'minus_oflow': ('minus_infty', 'minus_infty', '-max_value', '-max_value'),
  66     'plus_uflow': ('plus_zero', 'plus_zero', 'plus_zero', 'min_subnorm_value'),
  67     'minus_uflow': ('-min_subnorm_value', 'minus_zero', 'minus_zero',
  68                     'minus_zero'),
  69     'ERRNO_PLUS_OFLOW': ('0', 'ERRNO_ERANGE', '0', 'ERRNO_ERANGE'),
  70     'ERRNO_MINUS_OFLOW': ('ERRNO_ERANGE', 'ERRNO_ERANGE', '0', '0'),
  71     'ERRNO_PLUS_UFLOW': ('ERRNO_ERANGE', 'ERRNO_ERANGE', 'ERRNO_ERANGE', '0'),
  72     'ERRNO_MINUS_UFLOW': ('0', 'ERRNO_ERANGE', 'ERRNO_ERANGE', 'ERRNO_ERANGE'),
  73     'XFAIL_ROUNDING_IBM128_LIBGCC': ('XFAIL_IBM128_LIBGCC', '0',
  74                                      'XFAIL_IBM128_LIBGCC',
  75                                      'XFAIL_IBM128_LIBGCC')
  76     }
  77
  78 # Map from raw test arguments to a nicer form to use when displaying
  79 # test results.
  80 BEAUTIFY_MAP = {'minus_zero': '-0',
  81                 'plus_zero': '+0',
  82                 '-0x0p+0f': '-0',
  83                 '-0x0p+0': '-0',
  84                 '-0x0p+0L': '-0',
  85                 '0x0p+0f': '+0',
  86                 '0x0p+0': '+0',
  87                 '0x0p+0L': '+0',
  88                 'minus_infty': '-inf',
  89                 'plus_infty': 'inf',
  90                 'qnan_value': 'qNaN',
  91                 'snan_value': 'sNaN',
  92                 'snan_value_ld': 'sNaN'}
  93
  94 # Flags in auto-libm-test-out that map directly to C flags.
  95 FLAGS_SIMPLE = {'ignore-zero-inf-sign': 'IGNORE_ZERO_INF_SIGN',
  96                 'xfail': 'XFAIL_TEST'}
  97
  98 # Exceptions in auto-libm-test-out, and their corresponding C flags
  99 # for being required, OK or required to be absent.
 100 EXC_EXPECTED = {'divbyzero': 'DIVBYZERO_EXCEPTION',
 101                 'inexact': 'INEXACT_EXCEPTION',
 102                 'invalid': 'INVALID_EXCEPTION',
 103                 'overflow': 'OVERFLOW_EXCEPTION',
 104                 'underflow': 'UNDERFLOW_EXCEPTION'}
 105 EXC_OK = {'divbyzero': 'DIVBYZERO_EXCEPTION_OK',
 106           'inexact': '0',
 107           'invalid': 'INVALID_EXCEPTION_OK',
 108           'overflow': 'OVERFLOW_EXCEPTION_OK',
 109           'underflow': 'UNDERFLOW_EXCEPTION_OK'}
 110 EXC_NO = {'divbyzero': '0',
 111           'inexact': 'NO_INEXACT_EXCEPTION',
 112           'invalid': '0',
 113           'overflow': '0',
 114           'underflow': '0'}
 115
 116
 117 class Ulps(object):
 118     """Maximum expected errors of libm functions."""
 119
 120     def __init__(self):
 121         """Initialize an Ulps object."""
 122         # normal[function][float_type] is the ulps value, and likewise
 123         # for real and imag.
 124         self.normal = defaultdict(lambda: defaultdict(lambda: 0))
 125         self.real = defaultdict(lambda: defaultdict(lambda: 0))
 126         self.imag = defaultdict(lambda: defaultdict(lambda: 0))
 127         # List of ulps kinds, in the order in which they appear in
 128         # sorted ulps files.
 129         self.ulps_kinds = (('Real part of ', self.real),
 130                            ('Imaginary part of ', self.imag),
 131                            ('', self.normal))
 132         self
 133
 134     def read(self, ulps_file):
 135         """Read ulps from a file into an Ulps object."""
 136         self.ulps_file = ulps_file
 137         with open(ulps_file, 'r') as f:
 138             ulps_dict = None
 139             ulps_fn = None
 140             for line in f:
 141                 # Ignore comments.
 142                 if line.startswith('#'):
 143                     continue
 144                 line = line.rstrip()
 145                 # Ignore empty lines.
 146                 if line == '':
 147                     continue
 148                 m = re.match(r'([^:]*): (.*)\Z', line)
 149                 if not m:
 150                     raise ValueError('bad ulps line: %s' % line)
 151                 line_first = m.group(1)
 152                 line_second = m.group(2)
 153                 if line_first == 'Function':
 154                     fn = None
 155                     ulps_dict = None
 156                     for k_prefix, k_dict in self.ulps_kinds:
 157                         if line_second.startswith(k_prefix):
 158                             ulps_dict = k_dict
 159                             fn = line_second[len(k_prefix):]
 160                             break
 161                     if not fn.startswith('"') or not fn.endswith('":'):
 162                         raise ValueError('bad ulps line: %s' % line)
 163                     ulps_fn = fn[1:-2]
 164                 else:
 165                     if line_first not in ALL_FLOATS:
 166                         raise ValueError('bad ulps line: %s' % line)
 167                     ulps_val = int(line_second)
 168                     if ulps_val > 0:
 169                         ulps_dict[ulps_fn][line_first] = max(
 170                             ulps_dict[ulps_fn][line_first],
 171                             ulps_val)
 172
 173     def all_functions(self):
 174         """Return the set of functions with ulps and whether they are
 175         complex."""
 176         funcs = set()
 177         complex = {}
 178         for k_prefix, k_dict in self.ulps_kinds:
 179             for f in k_dict:
 180                 funcs.add(f)
 181                 complex[f] = True if k_prefix else False
 182         return funcs, complex
 183
 184     def write(self, ulps_file):
 185         """Write ulps back out as a sorted ulps file."""
 186         # Output is sorted first by function name, then by (real,
 187         # imag, normal), then by float type.
 188         out_data = {}
 189         for order, (prefix, d) in enumerate(self.ulps_kinds):
 190             for fn in d.keys():
 191                 fn_data = ['%s: %d' % (f, d[fn][f])
 192                            for f in sorted(d[fn].keys())]
 193                 fn_text = 'Function: %s"%s":\n%s' % (prefix, fn,
 194                                                      '\n'.join(fn_data))
 195                 out_data[(fn, order)] = fn_text
 196         out_list = [out_data[fn_order] for fn_order in sorted(out_data.keys())]
 197         out_text = ('# Begin of automatic generation\n\n'
 198                     '# Maximal error of functions:\n'
 199                     '%s\n\n'
 200                     '# end of automatic generation\n'
 201                     % '\n\n'.join(out_list))
 202         with open(ulps_file, 'w') as f:
 203             f.write(out_text)
 204
 205     @staticmethod
 206     def ulps_table(name, ulps_dict):
 207         """Return text of a C table of ulps."""
 208         ulps_list = []
 209         for fn in sorted(ulps_dict.keys()):
 210             fn_ulps = [str(ulps_dict[fn][f]) for f in ALL_FLOATS]
 211             ulps_list.append('    { "%s", {%s} },' % (fn, ', '.join(fn_ulps)))
 212         ulps_text = ('static const struct ulp_data %s[] =\n'
 213                      '  {\n'
 214                      '%s\n'
 215                      '  };'
 216                      % (name, '\n'.join(ulps_list)))
 217         return ulps_text
 218
 219     def write_header(self, ulps_header):
 220         """Write header file with ulps data."""
 221         header_text_1 = ('/* This file is automatically generated\n'
 222                          '   from %s with gen-libm-test.py.\n'
 223                          '   Don\'t change it - change instead the master '
 224                          'files.  */\n\n'
 225                          'struct ulp_data\n'
 226                          '{\n'
 227                          '  const char *name;\n'
 228                          '  FLOAT max_ulp[%d];\n'
 229                          '};'
 230                          % (self.ulps_file, len(ALL_FLOATS)))
 231         macro_list = []
 232         for i, f in enumerate(ALL_FLOATS):
 233             if f.startswith('i'):
 234                 itxt = 'I_'
 235                 f = f[1:]
 236             else:
 237                 itxt = ''
 238             macro_list.append('#define ULP_%s%s %d'
 239                               % (itxt, ALL_FLOATS_PFX[f], i))
 240         header_text = ('%s\n\n'
 241                        '%s\n\n'
 242                        '/* Maximal error of functions.  */\n'
 243                        '%s\n'
 244                        '%s\n'
 245                        '%s\n'
 246                        % (header_text_1, '\n'.join(macro_list),
 247                           self.ulps_table('func_ulps', self.normal),
 248                           self.ulps_table('func_real_ulps', self.real),
 249                           self.ulps_table('func_imag_ulps', self.imag)))
 250         with open(ulps_header, 'w') as f:
 251             f.write(header_text)
 252
 253
 254 def read_all_ulps(srcdir):
 255     """Read all platforms' libm-test-ulps files."""
 256     all_ulps = {}
 257     for dirpath, dirnames, filenames in os.walk(srcdir):
 258         if 'libm-test-ulps' in filenames:
 259             with open(os.path.join(dirpath, 'libm-test-ulps-name')) as f:
 260                 name = f.read().rstrip()
 261             all_ulps[name] = Ulps()
 262             all_ulps[name].read(os.path.join(dirpath, 'libm-test-ulps'))
 263     return all_ulps
 264
 265
 266 def read_auto_tests(test_file):
 267     """Read tests from auto-libm-test-out-<function> (possibly None)."""
 268     auto_tests = defaultdict(lambda: defaultdict(dict))
 269     if test_file is None:
 270         return auto_tests
 271     with open(test_file, 'r') as f:
 272         for line in f:
 273             if not line.startswith('= '):
 274                 continue
 275             line = line[len('= '):].rstrip()
 276             # Function, rounding mode, condition and inputs, outputs
 277             # and flags.
 278             m = re.match(r'([^ ]+) ([^ ]+) ([^: ][^ ]* [^:]*) : (.*)\Z', line)
 279             if not m:
 280                 raise ValueError('bad automatic test line: %s' % line)
 281             auto_tests[m.group(1)][m.group(2)][m.group(3)] = m.group(4)
 282     return auto_tests
 283
 284
 285 def beautify(arg):
 286     """Return a nicer representation of a test argument."""
 287     if arg in BEAUTIFY_MAP:
 288         return BEAUTIFY_MAP[arg]
 289     if arg.startswith('-') and arg[1:] in BEAUTIFY_MAP:
 290         return '-' + BEAUTIFY_MAP[arg[1:]]
 291     if re.match(r'-?0x[0-9a-f.]*p[-+][0-9]+f\Z', arg):
 292         return arg[:-1]
 293     if re.search(r'[0-9]L\Z', arg):
 294         return arg[:-1]
 295     return arg
 296
 297
 298 def complex_beautify(arg_real, arg_imag):
 299     """Return a nicer representation of a complex test argument."""
 300     res_real = beautify(arg_real)
 301     res_imag = beautify(arg_imag)
 302     if res_imag.startswith('-'):
 303         return '%s - %s i' % (res_real, res_imag[1:])
 304     else:
 305         return '%s + %s i' % (res_real, res_imag)
 306
 307
 308 def apply_lit_token(arg, macro):
 309     """Apply the LIT or ARG_LIT macro to a single token."""
 310     # The macro must only be applied to a floating-point constant, not
 311     # to an integer constant or lit_* value.
 312     sign_re = r'[+-]?'
 313     exp_re = r'([+-])?[0-9]+'
 314     suffix_re = r'[lLfF]?'
 315     dec_exp_re = r'[eE]' + exp_re
 316     hex_exp_re = r'[pP]' + exp_re
 317     dec_frac_re = r'(?:[0-9]*\.[0-9]+|[0-9]+\.)'
 318     hex_frac_re = r'(?:[0-9a-fA-F]*\.[0-9a-fA-F]+|[0-9a-fA-F]+\.)'
 319     dec_int_re = r'[0-9]+'
 320     hex_int_re = r'[0-9a-fA-F]+'
 321     dec_cst_re = r'(?:%s(?:%s)?|%s%s)' % (dec_frac_re, dec_exp_re,
 322                                           dec_int_re, dec_exp_re)
 323     hex_cst_re = r'0[xX](?:%s|%s)%s' % (hex_frac_re, hex_int_re, hex_exp_re)
 324     fp_cst_re = r'(%s(?:%s|%s))%s\Z' % (sign_re, dec_cst_re, hex_cst_re,
 325                                         suffix_re)
 326     m = re.match(fp_cst_re, arg)
 327     if m:
 328         return '%s (%s)' % (macro, m.group(1))
 329     else:
 330         return arg
 331
 332
 333 def apply_lit(arg, macro):
 334     """Apply the LIT or ARG_LIT macro to constants within an expression."""
 335     # Assume expressions follow the GNU Coding Standards, with tokens
 336     # separated by spaces.
 337     return ' '.join([apply_lit_token(t, macro) for t in arg.split()])
 338
 339
 340 def gen_test_args_res(descr_args, descr_res, args, res_rm):
 341     """Generate a test given the arguments and per-rounding-mode results."""
 342     test_snan = False
 343     all_args_res = list(args)
 344     for r in res_rm:
 345         all_args_res.extend(r[:len(r)-1])
 346     for a in all_args_res:
 347         if 'snan_value' in a:
 348             test_snan = True
 349     # Process the arguments.
 350     args_disp = []
 351     args_c = []
 352     arg_pos = 0
 353     for d in descr_args:
 354         if DESCR_NUM_ARGS[d] == 0:
 355             continue
 356         if d == 'c':
 357             args_disp.append(complex_beautify(args[arg_pos],
 358                                               args[arg_pos + 1]))
 359             args_c.append(apply_lit(args[arg_pos], 'LIT'))
 360             args_c.append(apply_lit(args[arg_pos + 1], 'LIT'))
 361         else:
 362             args_disp.append(beautify(args[arg_pos]))
 363             if d == 'f':
 364                 args_c.append(apply_lit(args[arg_pos], 'LIT'))
 365             elif d == 'a':
 366                 args_c.append(apply_lit(args[arg_pos], 'ARG_LIT'))
 367             else:
 368                 args_c.append(args[arg_pos])
 369         arg_pos += DESCR_NUM_ARGS[d]
 370     args_disp_text = ', '.join(args_disp).replace('"', '\\"')
 371     # Process the results.
 372     for rm in range(len(ROUNDING_MODES)):
 373         res = res_rm[rm]
 374         res_pos = 0
 375         rm_args = []
 376         ignore_result_any = False
 377         ignore_result_all = True
 378         special = []
 379         for d in descr_res:
 380             if d == '1':
 381                 special.append(res[res_pos])
 382             elif DESCR_NUM_RES[d] == 1:
 383                 result = res[res_pos]
 384                 if result == 'IGNORE':
 385                     ignore_result_any = True
 386                     result = '0'
 387                 else:
 388                     ignore_result_all = False
 389                     if d == 'f':
 390                         result = apply_lit(result, 'LIT')
 391                 rm_args.append(result)
 392             else:
 393                 # Complex result.
 394                 result1 = res[res_pos]
 395                 if result1 == 'IGNORE':
 396                     ignore_result_any = True
 397                     result1 = '0'
 398                 else:
 399                     ignore_result_all = False
 400                     result1 = apply_lit(result1, 'LIT')
 401                 rm_args.append(result1)
 402                 result2 = res[res_pos + 1]
 403                 if result2 == 'IGNORE':
 404                     ignore_result_any = True
 405                     result2 = '0'
 406                 else:
 407                     ignore_result_all = False
 408                     result2 = apply_lit(result2, 'LIT')
 409                 rm_args.append(result2)
 410             res_pos += DESCR_NUM_RES[d]
 411         if ignore_result_any and not ignore_result_all:
 412             raise ValueError('some but not all function results ignored')
 413         flags = []
 414         if ignore_result_any:
 415             flags.append('IGNORE_RESULT')
 416         if test_snan:
 417             flags.append('TEST_SNAN')
 418         flags.append(res[res_pos])
 419         rm_args.append('|'.join(flags))
 420         for sp in special:
 421             if sp == 'IGNORE':
 422                 rm_args.extend(['0', '0'])
 423             else:
 424                 rm_args.extend(['1', apply_lit(sp, 'LIT')])
 425         for k in sorted(ROUNDING_MAP.keys()):
 426             rm_args = [arg.replace(k, ROUNDING_MAP[k][rm]) for arg in rm_args]
 427         args_c.append('{ %s }' % ', '.join(rm_args))
 428     return '    { "%s", %s },\n' % (args_disp_text, ', '.join(args_c))
 429
 430
 431 def convert_condition(cond):
 432     """Convert a condition from auto-libm-test-out to C form."""
 433     conds = cond.split(':')
 434     conds_c = []
 435     for c in conds:
 436         if not c.startswith('arg_fmt('):
 437             c = c.replace('-', '_')
 438         conds_c.append('TEST_COND_' + c)
 439     return '(%s)' % ' && '.join(conds_c)
 440
 441
 442 def cond_value(cond, if_val, else_val):
 443     """Return a C conditional expression between two values."""
 444     if cond == '1':
 445         return if_val
 446     elif cond == '0':
 447         return else_val
 448     else:
 449         return '(%s ? %s : %s)' % (cond, if_val, else_val)
 450
 451
 452 def gen_auto_tests(auto_tests, descr_args, descr_res, fn):
 453     """Generate C code for the auto-libm-test-out-* tests for a function."""
 454     for rm_idx, rm_name in enumerate(ROUNDING_MODES):
 455         this_tests = sorted(auto_tests[fn][rm_name].keys())
 456         if rm_idx == 0:
 457             rm_tests = this_tests
 458             if not rm_tests:
 459                 raise ValueError('no automatic tests for %s' % fn)
 460         else:
 461             if rm_tests != this_tests:
 462                 raise ValueError('inconsistent lists of tests of %s' % fn)
 463     test_list = []
 464     for test in rm_tests:
 465         fmt_args = test.split()
 466         fmt = fmt_args[0]
 467         args = fmt_args[1:]
 468         test_list.append('#if %s\n' % convert_condition(fmt))
 469         res_rm = []
 470         for rm in ROUNDING_MODES:
 471             test_out = auto_tests[fn][rm][test]
 472             out_str, flags_str = test_out.split(':', 1)
 473             this_res = out_str.split()
 474             flags = flags_str.split()
 475             flag_cond = {}
 476             for flag in flags:
 477                 m = re.match(r'([^:]*):(.*)\Z', flag)
 478                 if m:
 479                     f_name = m.group(1)
 480                     cond = convert_condition(m.group(2))
 481                     if f_name in flag_cond:
 482                         if flag_cond[f_name] != '1':
 483                             flag_cond[f_name] = ('%s || %s'
 484                                                  % (flag_cond[f_name], cond))
 485                     else:
 486                         flag_cond[f_name] = cond
 487                 else:
 488                     flag_cond[flag] = '1'
 489             flags_c = []
 490             for flag in sorted(FLAGS_SIMPLE.keys()):
 491                 if flag in flag_cond:
 492                     flags_c.append(cond_value(flag_cond[flag],
 493                                               FLAGS_SIMPLE[flag], '0'))
 494             for exc in sorted(EXC_EXPECTED.keys()):
 495                 exc_expected = EXC_EXPECTED[exc]
 496                 exc_ok = EXC_OK[exc]
 497                 no_exc = EXC_NO[exc]
 498                 exc_cond = flag_cond.get(exc, '0')
 499                 exc_ok_cond = flag_cond.get(exc + '-ok', '0')
 500                 flags_c.append(cond_value(exc_cond,
 501                                           cond_value(exc_ok_cond, exc_ok,
 502                                                      exc_expected),
 503                                           cond_value(exc_ok_cond, exc_ok,
 504                                                      no_exc)))
 505             if 'errno-edom' in flag_cond and 'errno-erange' in flag_cond:
 506                 raise ValueError('multiple errno values expected')
 507             if 'errno-edom' in flag_cond:
 508                 if flag_cond['errno-edom'] != '1':
 509                     raise ValueError('unexpected condition for errno-edom')
 510                 errno_expected = 'ERRNO_EDOM'
 511             elif 'errno-erange' in flag_cond:
 512                 if flag_cond['errno-erange'] != '1':
 513                     raise ValueError('unexpected condition for errno-erange')
 514                 errno_expected = 'ERRNO_ERANGE'
 515             else:
 516                 errno_expected = 'ERRNO_UNCHANGED'
 517             if 'errno-edom-ok' in flag_cond:
 518                 if ('errno-erange-ok' in flag_cond
 519                     and (flag_cond['errno-erange-ok']
 520                          != flag_cond['errno-edom-ok'])):
 521                     errno_unknown_cond = ('%s || %s'
 522                                           % (flag_cond['errno-edom-ok'],
 523                                              flag_cond['errno-erange-ok']))
 524                 else:
 525                     errno_unknown_cond = flag_cond['errno-edom-ok']
 526             else:
 527                 errno_unknown_cond = flag_cond.get('errno-erange-ok', '0')
 528             flags_c.append(cond_value(errno_unknown_cond, '0', errno_expected))
 529             flags_c = [flag for flag in flags_c if flag != '0']
 530             if not flags_c:
 531                 flags_c = ['NO_EXCEPTION']
 532             this_res.append(' | '.join(flags_c))
 533             res_rm.append(this_res)
 534         test_list.append(gen_test_args_res(descr_args, descr_res, args,
 535                                            res_rm))
 536         test_list.append('#endif\n')
 537     return ''.join(test_list)
 538
 539
 540 def gen_test_line(descr_args, descr_res, args_str):
 541     """Generate C code for the tests for a single TEST_* line."""
 542     test_args = args_str.split(',')
 543     test_args = test_args[1:]
 544     test_args = [a.strip() for a in test_args]
 545     num_args = sum([DESCR_NUM_ARGS[c] for c in descr_args])
 546     num_res = sum([DESCR_NUM_RES[c] for c in descr_res])
 547     args = test_args[:num_args]
 548     res = test_args[num_args:]
 549     if len(res) == num_res:
 550         # One set of results for all rounding modes, no flags.
 551         res.append('0')
 552         res_rm = [res, res, res, res]
 553     elif len(res) == num_res + 1:
 554         # One set of results for all rounding modes, with flags.
 555         if not ('EXCEPTION' in res[-1]
 556                 or 'ERRNO' in res[-1]
 557                 or 'IGNORE_ZERO_INF_SIGN' in res[-1]
 558                 or 'TEST_NAN_SIGN' in res[-1]
 559                 or 'XFAIL' in res[-1]):
 560             raise ValueError('wrong number of arguments: %s' % args_str)
 561         res_rm = [res, res, res, res]
 562     elif len(res) == (num_res + 1) * 4:
 563         # One set of results per rounding mode, with flags.
 564         nr_plus = num_res + 1
 565         res_rm = [res[:nr_plus], res[nr_plus:2*nr_plus],
 566                   res[2*nr_plus:3*nr_plus], res[3*nr_plus:]]
 567     return gen_test_args_res(descr_args, descr_res, args, res_rm)
 568
 569
 570 def generate_testfile(inc_input, auto_tests, c_output):
 571     """Generate test .c file from .inc input."""
 572     test_list = []
 573     with open(inc_input, 'r') as f:
 574         for line in f:
 575             line_strip = line.strip()
 576             if line_strip.startswith('AUTO_TESTS_'):
 577                 m = re.match(r'AUTO_TESTS_([^_]*)_([^_ ]*) *\(([^)]*)\),\Z',
 578                              line_strip)
 579                 if not m:
 580                     raise ValueError('bad AUTO_TESTS line: %s' % line)
 581                 test_list.append(gen_auto_tests(auto_tests, m.group(1),
 582                                                 m.group(2), m.group(3)))
 583             elif line_strip.startswith('TEST_'):
 584                 m = re.match(r'TEST_([^_]*)_([^_ ]*) *\((.*)\),\Z', line_strip)
 585                 if not m:
 586                     raise ValueError('bad TEST line: %s' % line)
 587                 test_list.append(gen_test_line(m.group(1), m.group(2),
 588                                                m.group(3)))
 589             else:
 590                 test_list.append(line)
 591     with open(c_output, 'w') as f:
 592         f.write(''.join(test_list))
 593
 594
 595 def generate_err_table_sub(all_ulps, all_functions, fns_complex, platforms):
 596     """Generate a single table within the overall ulps table section."""
 597     plat_width = [' {1000 + i 1000}' for p in platforms]
 598     plat_header = [' @tab %s' % p for p in platforms]
 599     table_list = ['@multitable {nexttowardf} %s\n' % ''.join(plat_width),
 600                   '@item Function %s\n' % ''.join(plat_header)]
 601     for func in all_functions:
 602         for flt in ALL_FLOATS_MANUAL:
 603             func_ulps = []
 604             for p in platforms:
 605                 p_ulps = all_ulps[p]
 606                 if fns_complex[func]:
 607                     ulp_real = p_ulps.real[func][flt]
 608                     ulp_imag = p_ulps.imag[func][flt]
 609                     ulp_str = '%d + i %d' % (ulp_real, ulp_imag)
 610                     ulp_str = ulp_str if ulp_real or ulp_imag else '-'
 611                 else:
 612                     ulp = p_ulps.normal[func][flt]
 613                     ulp_str = str(ulp) if ulp else '-'
 614                 func_ulps.append(ulp_str)
 615             table_list.append('@item %s%s  @tab %s\n'
 616                               % (func, ALL_FLOATS_SUFFIX[flt],
 617                                  ' @tab '.join(func_ulps)))
 618     table_list.append('@end multitable\n')
 619     return ''.join(table_list)
 620
 621
 622 def generate_err_table(all_ulps, err_table):
 623     """Generate ulps table for manual."""
 624     all_platforms = sorted(all_ulps.keys())
 625     functions_set = set()
 626     functions_complex = {}
 627     for p in all_platforms:
 628         p_functions, p_complex = all_ulps[p].all_functions()
 629         functions_set.update(p_functions)
 630         functions_complex.update(p_complex)
 631     all_functions = sorted([f for f in functions_set
 632                             if ('_downward' not in f
 633                                 and '_towardzero' not in f
 634                                 and '_upward' not in f
 635                                 and '_vlen' not in f)])
 636     err_table_list = []
 637     # Print five platforms at a time.
 638     num_platforms = len(all_platforms)
 639     for i in range((num_platforms + 4) // 5):
 640         start = i * 5
 641         end = i * 5 + 5 if num_platforms >= i * 5 + 5 else num_platforms
 642         err_table_list.append(generate_err_table_sub(all_ulps, all_functions,
 643                                                      functions_complex,
 644                                                      all_platforms[start:end]))
 645     with open(err_table, 'w') as f:
 646         f.write(''.join(err_table_list))
 647
 648
 649 def main():
 650     """The main entry point."""
 651     parser = argparse.ArgumentParser(description='Generate libm tests.')
 652     parser.add_argument('-a', dest='auto_input', metavar='FILE',
 653                         help='input file with automatically generated tests')
 654     parser.add_argument('-c', dest='inc_input', metavar='FILE',
 655                         help='input file .inc file with tests')
 656     parser.add_argument('-u', dest='ulps_file', metavar='FILE',
 657                         help='input file with ulps')
 658     parser.add_argument('-s', dest='srcdir', metavar='DIR',
 659                         help='input source directory with all ulps')
 660     parser.add_argument('-n', dest='ulps_output', metavar='FILE',
 661                         help='generate sorted ulps file FILE')
 662     parser.add_argument('-C', dest='c_output', metavar='FILE',
 663                         help='generate output C file FILE from .inc file')
 664     parser.add_argument('-H', dest='ulps_header', metavar='FILE',
 665                         help='generate output ulps header FILE')
 666     parser.add_argument('-m', dest='err_table', metavar='FILE',
 667                         help='generate output ulps table for manual FILE')
 668     args = parser.parse_args()
 669     ulps = Ulps()
 670     if args.ulps_file is not None:
 671         ulps.read(args.ulps_file)
 672     auto_tests = read_auto_tests(args.auto_input)
 673     if args.srcdir is not None:
 674         all_ulps = read_all_ulps(args.srcdir)
 675     if args.ulps_output is not None:
 676         ulps.write(args.ulps_output)
 677     if args.ulps_header is not None:
 678         ulps.write_header(args.ulps_header)
 679     if args.c_output is not None:
 680         generate_testfile(args.inc_input, auto_tests, args.c_output)
 681     if args.err_table is not None:
 682         generate_err_table(all_ulps, args.err_table)
 683
 684
 685 if __name__ == '__main__':
 686     main()