Fix build errors with -DNDEBUG.
[glibc.git] / math / gen-auto-libm-tests.c
blob0a573823a4617ed41772c681c127155567bb1b93
1 /* Generate expected output for libm tests with MPFR and MPC.
2 Copyright (C) 2013-2016 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
5 The GNU C Library is free software; you can redistribute it and/or
6 modify it under the terms of the GNU Lesser General Public
7 License as published by the Free Software Foundation; either
8 version 2.1 of the License, or (at your option) any later version.
10 The GNU C Library is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 Lesser General Public License for more details.
15 You should have received a copy of the GNU Lesser General Public
16 License along with the GNU C Library; if not, see
17 <http://www.gnu.org/licenses/>. */
19 /* Compile this program as:
21 gcc -std=gnu11 -O2 -Wall -Wextra gen-auto-libm-tests.c -lmpc -lmpfr -lgmp \
22 -o gen-auto-libm-tests
24 (use of current MPC and MPFR versions recommended) and run it as:
26 gen-auto-libm-tests auto-libm-test-in auto-libm-test-out
28 The input file auto-libm-test-in contains three kinds of lines:
30 Lines beginning with "#" are comments, and are ignored, as are
31 empty lines.
33 Other lines are test lines, of the form "function input1 input2
34 ... [flag1 flag2 ...]". Inputs are either finite real numbers or
35 integers, depending on the function under test. Real numbers may
36 be in any form acceptable to mpfr_strtofr (base 0); integers in any
37 form acceptable to mpz_set_str (base 0). In addition, real numbers
38 may be certain special strings such as "pi", as listed in the
39 special_real_inputs array.
41 Each flag is a flag name possibly followed by a series of
42 ":condition". Conditions may be any of the names of floating-point
43 formats in the floating_point_formats array, "long32" and "long64"
44 to indicate the number of bits in the "long" type, or other strings
45 for which libm-test.inc defines a TEST_COND_<condition> macro (with
46 "-"- changed to "_" in the condition name) evaluating to nonzero
47 when the condition is true and zero when the condition is false.
48 The meaning is that the flag applies to the test if all the listed
49 conditions are true. "flag:cond1:cond2 flag:cond3:cond4" means the
50 flag applies if ((cond1 && cond2) || (cond3 && cond4)).
52 A real number specified as an input is considered to represent the
53 set of real numbers arising from rounding the given number in any
54 direction for any supported floating-point format; any roundings
55 that give infinity are ignored. Each input on a test line has all
56 the possible roundings considered independently. Each resulting
57 choice of the tuple of inputs to the function is ignored if the
58 mathematical result of the function involves a NaN or an exact
59 infinity, and is otherwise considered for each floating-point
60 format for which all those inputs are exactly representable. Thus
61 tests may result in "overflow", "underflow" and "inexact"
62 exceptions; "invalid" may arise only when the final result type is
63 an integer type and it is the conversion of a mathematically
64 defined finite result to integer type that results in that
65 exception.
67 By default, it is assumed that "overflow" and "underflow"
68 exceptions should be correct, but that "inexact" exceptions should
69 only be correct for functions listed as exactly determined. For
70 such functions, "underflow" exceptions should respect whether the
71 machine has before-rounding or after-rounding tininess detection.
72 For other functions, it is considered that if the exact result is
73 somewhere between the greatest magnitude subnormal of a given sign
74 (exclusive) and the least magnitude normal of that sign
75 (inclusive), underflow exceptions are permitted but optional on all
76 machines, and they are also permitted but optional for smaller
77 subnormal exact results for functions that are not exactly
78 determined. errno setting is expected for overflow to infinity and
79 underflow to zero (for real functions), and for out-of-range
80 conversion of a finite result to integer type, and is considered
81 permitted but optional for all other cases where overflow
82 exceptions occur, and where underflow exceptions occur or are
83 permitted. In other cases (where no overflow or underflow is
84 permitted), errno is expected to be left unchanged.
86 The flag "no-test-inline" indicates a test is disabled for inline
87 function testing; "ignore-zero-inf-sign" indicates the the signs of
88 zero and infinite results should be ignored; "xfail" indicates the
89 test is disabled as expected to produce incorrect results,
90 "xfail-rounding" indicates the test is disabled only in rounding
91 modes other than round-to-nearest. Otherwise, test flags are of
92 the form "spurious-<exception>" and "missing-<exception>", for any
93 exception ("overflow", "underflow", "inexact", "invalid",
94 "divbyzero"), "spurious-errno" and "missing-errno", to indicate
95 when tests are expected to deviate from the exception and errno
96 settings corresponding to the mathematical results. "xfail",
97 "xfail-rounding", "spurious-" and "missing-" flags should be
98 accompanied by a comment referring to an open bug in glibc
99 Bugzilla.
101 The output file auto-libm-test-out contains the test lines from
102 auto-libm-test-in, and, after the line for a given test, some
103 number of output test lines. An output test line is of the form "=
104 function rounding-mode format input1 input2 ... : output1 output2
105 ... : flags". rounding-mode is "tonearest", "towardzero", "upward"
106 or "downward". format is a name from the floating_point_formats
107 array, possibly followed by a sequence of ":flag" for flags from
108 "long32" and "long64". Inputs and outputs are specified as hex
109 floats with the required suffix for the floating-point type, or
110 plus_infty or minus_infty for infinite expected results, or as
111 integer constant expressions (not necessarily with the right type)
112 or IGNORE for integer inputs and outputs. Flags are
113 "no-test-inline", "ignore-zero-info-sign", "xfail", "<exception>",
114 "<exception>-ok", "errno-<value>", "errno-<value>-ok", which may be
115 unconditional or conditional. "<exception>" indicates that a
116 correct result means the given exception should be raised.
117 "errno-<value>" indicates that a correct result means errno should
118 be set to the given value. "-ok" means not to test for the given
119 exception or errno value (whether because it was marked as possibly
120 missing or spurious, or because the calculation of correct results
121 indicated it was optional). Conditions "before-rounding" and
122 "after-rounding" indicate tests where expectations for underflow
123 exceptions depend on how the architecture detects tininess. */
125 #define _GNU_SOURCE
127 #include <assert.h>
128 #include <ctype.h>
129 #include <errno.h>
130 #include <error.h>
131 #include <stdbool.h>
132 #include <stdint.h>
133 #include <stdio.h>
134 #include <stdlib.h>
135 #include <string.h>
137 #include <gmp.h>
138 #include <mpfr.h>
139 #include <mpc.h>
141 #define ARRAY_SIZE(A) (sizeof (A) / sizeof ((A)[0]))
143 /* The supported floating-point formats. */
144 typedef enum
146 fp_flt_32,
147 fp_dbl_64,
148 fp_ldbl_96_intel,
149 fp_ldbl_96_m68k,
150 fp_ldbl_128,
151 fp_ldbl_128ibm,
152 fp_num_formats,
153 fp_first_format = 0
154 } fp_format;
156 /* Structure describing a single floating-point format. */
157 typedef struct
159 /* The name of the format. */
160 const char *name;
161 /* The suffix to use on floating-point constants with this
162 format. */
163 const char *suffix;
164 /* A string for the largest normal value, or NULL for IEEE formats
165 where this can be determined automatically. */
166 const char *max_string;
167 /* The number of mantissa bits. */
168 int mant_dig;
169 /* The least N such that 2^N overflows. */
170 int max_exp;
171 /* One more than the least N such that 2^N is normal. */
172 int min_exp;
173 /* The largest normal value. */
174 mpfr_t max;
175 /* The value 0.5ulp above the least positive normal value. */
176 mpfr_t min_plus_half;
177 /* The least positive normal value, 2^(MIN_EXP-1). */
178 mpfr_t min;
179 /* The greatest positive subnormal value. */
180 mpfr_t subnorm_max;
181 /* The least positive subnormal value, 2^(MIN_EXP-MANT_DIG). */
182 mpfr_t subnorm_min;
183 } fp_format_desc;
185 /* List of floating-point formats, in the same order as the fp_format
186 enumeration. */
187 static fp_format_desc fp_formats[fp_num_formats] =
189 { "flt-32", "f", NULL, 24, 128, -125, {}, {}, {}, {}, {} },
190 { "dbl-64", "", NULL, 53, 1024, -1021, {}, {}, {}, {}, {} },
191 { "ldbl-96-intel", "L", NULL, 64, 16384, -16381, {}, {}, {}, {}, {} },
192 { "ldbl-96-m68k", "L", NULL, 64, 16384, -16382, {}, {}, {}, {}, {} },
193 { "ldbl-128", "L", NULL, 113, 16384, -16381, {}, {}, {}, {}, {} },
194 { "ldbl-128ibm", "L", "0x1.fffffffffffff7ffffffffffff8p+1023",
195 106, 1024, -968, {}, {}, {}, {}, {} },
198 /* The supported rounding modes. */
199 typedef enum
201 rm_downward,
202 rm_tonearest,
203 rm_towardzero,
204 rm_upward,
205 rm_num_modes,
206 rm_first_mode = 0
207 } rounding_mode;
209 /* Structure describing a single rounding mode. */
210 typedef struct
212 /* The name of the rounding mode. */
213 const char *name;
214 /* The MPFR rounding mode. */
215 mpfr_rnd_t mpfr_mode;
216 /* The MPC rounding mode. */
217 mpc_rnd_t mpc_mode;
218 } rounding_mode_desc;
220 /* List of rounding modes, in the same order as the rounding_mode
221 enumeration. */
222 static const rounding_mode_desc rounding_modes[rm_num_modes] =
224 { "downward", MPFR_RNDD, MPC_RNDDD },
225 { "tonearest", MPFR_RNDN, MPC_RNDNN },
226 { "towardzero", MPFR_RNDZ, MPC_RNDZZ },
227 { "upward", MPFR_RNDU, MPC_RNDUU },
230 /* The supported exceptions. */
231 typedef enum
233 exc_divbyzero,
234 exc_inexact,
235 exc_invalid,
236 exc_overflow,
237 exc_underflow,
238 exc_num_exceptions,
239 exc_first_exception = 0
240 } fp_exception;
242 /* List of exceptions, in the same order as the fp_exception
243 enumeration. */
244 static const char *const exceptions[exc_num_exceptions] =
246 "divbyzero",
247 "inexact",
248 "invalid",
249 "overflow",
250 "underflow",
253 /* The internal precision to use for most MPFR calculations, which
254 must be at least 2 more than the greatest precision of any
255 supported floating-point format. */
256 static int internal_precision;
258 /* A value that overflows all supported floating-point formats. */
259 static mpfr_t global_max;
261 /* A value that is at most half the least subnormal in any
262 floating-point format and so is rounded the same way as all
263 sufficiently small positive values. */
264 static mpfr_t global_min;
266 /* The maximum number of (real or integer) arguments to a function
267 handled by this program (complex arguments count as two real
268 arguments). */
269 #define MAX_NARGS 4
271 /* The maximum number of (real or integer) return values from a
272 function handled by this program. */
273 #define MAX_NRET 2
275 /* A type of a function argument or return value. */
276 typedef enum
278 /* No type (not a valid argument or return value). */
279 type_none,
280 /* A floating-point value with the type corresponding to that of
281 the function. */
282 type_fp,
283 /* An integer value of type int. */
284 type_int,
285 /* An integer value of type long. */
286 type_long,
287 /* An integer value of type long long. */
288 type_long_long,
289 } arg_ret_type;
291 /* A type of a generic real or integer value. */
292 typedef enum
294 /* No type. */
295 gtype_none,
296 /* Floating-point (represented with MPFR). */
297 gtype_fp,
298 /* Integer (represented with GMP). */
299 gtype_int,
300 } generic_value_type;
302 /* A generic value (argument or result). */
303 typedef struct
305 /* The type of this value. */
306 generic_value_type type;
307 /* Its value. */
308 union
310 mpfr_t f;
311 mpz_t i;
312 } value;
313 } generic_value;
315 /* A type of input flag. */
316 typedef enum
318 flag_no_test_inline,
319 flag_ignore_zero_inf_sign,
320 flag_xfail,
321 flag_xfail_rounding,
322 /* The "spurious" and "missing" flags must be in the same order as
323 the fp_exception enumeration. */
324 flag_spurious_divbyzero,
325 flag_spurious_inexact,
326 flag_spurious_invalid,
327 flag_spurious_overflow,
328 flag_spurious_underflow,
329 flag_spurious_errno,
330 flag_missing_divbyzero,
331 flag_missing_inexact,
332 flag_missing_invalid,
333 flag_missing_overflow,
334 flag_missing_underflow,
335 flag_missing_errno,
336 num_input_flag_types,
337 flag_first_flag = 0,
338 flag_spurious_first = flag_spurious_divbyzero,
339 flag_missing_first = flag_missing_divbyzero
340 } input_flag_type;
342 /* List of flags, in the same order as the input_flag_type
343 enumeration. */
344 static const char *const input_flags[num_input_flag_types] =
346 "no-test-inline",
347 "ignore-zero-inf-sign",
348 "xfail",
349 "xfail-rounding",
350 "spurious-divbyzero",
351 "spurious-inexact",
352 "spurious-invalid",
353 "spurious-overflow",
354 "spurious-underflow",
355 "spurious-errno",
356 "missing-divbyzero",
357 "missing-inexact",
358 "missing-invalid",
359 "missing-overflow",
360 "missing-underflow",
361 "missing-errno",
364 /* An input flag, possibly conditional. */
365 typedef struct
367 /* The type of this flag. */
368 input_flag_type type;
369 /* The conditions on this flag, as a string ":cond1:cond2..." or
370 NULL. */
371 const char *cond;
372 } input_flag;
374 /* Structure describing a single test from the input file (which may
375 expand into many tests in the output). The choice of function,
376 which implies the numbers and types of arguments and results, is
377 implicit rather than stored in this structure (except as part of
378 the source line). */
379 typedef struct
381 /* The text of the input line describing the test, including the
382 trailing newline. */
383 const char *line;
384 /* The number of combinations of interpretations of input values for
385 different floating-point formats and rounding modes. */
386 size_t num_input_cases;
387 /* The corresponding lists of inputs. */
388 generic_value **inputs;
389 /* The number of flags for this test. */
390 size_t num_flags;
391 /* The corresponding list of flags. */
392 input_flag *flags;
393 /* The old output for this test. */
394 const char *old_output;
395 } input_test;
397 /* Ways to calculate a function. */
398 typedef enum
400 /* MPFR function with a single argument and result. */
401 mpfr_f_f,
402 /* MPFR function with two arguments and one result. */
403 mpfr_ff_f,
404 /* MPFR function with three arguments and one result. */
405 mpfr_fff_f,
406 /* MPFR function with a single argument and floating-point and
407 integer results. */
408 mpfr_f_f1,
409 /* MPFR function with integer and floating-point arguments and one
410 result. */
411 mpfr_if_f,
412 /* MPFR function with a single argument and two floating-point
413 results. */
414 mpfr_f_11,
415 /* MPC function with a single complex argument and one real
416 result. */
417 mpc_c_f,
418 /* MPC function with a single complex argument and one complex
419 result. */
420 mpc_c_c,
421 /* MPC function with two complex arguments and one complex
422 result. */
423 mpc_cc_c,
424 } func_calc_method;
426 /* Description of how to calculate a function. */
427 typedef struct
429 /* Which method is used to calculate the function. */
430 func_calc_method method;
431 /* The specific function called. */
432 union
434 int (*mpfr_f_f) (mpfr_t, const mpfr_t, mpfr_rnd_t);
435 int (*mpfr_ff_f) (mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t);
436 int (*mpfr_fff_f) (mpfr_t, const mpfr_t, const mpfr_t, const mpfr_t,
437 mpfr_rnd_t);
438 int (*mpfr_f_f1) (mpfr_t, int *, const mpfr_t, mpfr_rnd_t);
439 int (*mpfr_if_f) (mpfr_t, long, const mpfr_t, mpfr_rnd_t);
440 int (*mpfr_f_11) (mpfr_t, mpfr_t, const mpfr_t, mpfr_rnd_t);
441 int (*mpc_c_f) (mpfr_t, const mpc_t, mpfr_rnd_t);
442 int (*mpc_c_c) (mpc_t, const mpc_t, mpc_rnd_t);
443 int (*mpc_cc_c) (mpc_t, const mpc_t, const mpc_t, mpc_rnd_t);
444 } func;
445 } func_calc_desc;
447 /* Structure describing a function handled by this program. */
448 typedef struct
450 /* The name of the function. */
451 const char *name;
452 /* The number of arguments. */
453 size_t num_args;
454 /* The types of the arguments. */
455 arg_ret_type arg_types[MAX_NARGS];
456 /* The number of return values. */
457 size_t num_ret;
458 /* The types of the return values. */
459 arg_ret_type ret_types[MAX_NRET];
460 /* Whether the function has exactly determined results and
461 exceptions. */
462 bool exact;
463 /* Whether the function is a complex function, so errno setting is
464 optional. */
465 bool complex_fn;
466 /* Whether to treat arguments given as floating-point constants as
467 exact only, rather than rounding them up and down to all
468 formats. */
469 bool exact_args;
470 /* How to calculate this function. */
471 func_calc_desc calc;
472 /* The number of tests allocated for this function. */
473 size_t num_tests_alloc;
474 /* The number of tests for this function. */
475 size_t num_tests;
476 /* The tests themselves. */
477 input_test *tests;
478 } test_function;
480 #define ARGS1(T1) 1, { T1 }
481 #define ARGS2(T1, T2) 2, { T1, T2 }
482 #define ARGS3(T1, T2, T3) 3, { T1, T2, T3 }
483 #define ARGS4(T1, T2, T3, T4) 4, { T1, T2, T3, T4 }
484 #define RET1(T1) 1, { T1 }
485 #define RET2(T1, T2) 2, { T1, T2 }
486 #define CALC(TYPE, FN) { TYPE, { .TYPE = FN } }
487 #define FUNC(NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC) \
489 NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC, 0, 0, NULL \
492 #define FUNC_mpfr_f_f(NAME, MPFR_FUNC, EXACT) \
493 FUNC (NAME, ARGS1 (type_fp), RET1 (type_fp), EXACT, false, false, \
494 CALC (mpfr_f_f, MPFR_FUNC))
495 #define FUNC_mpfr_ff_f(NAME, MPFR_FUNC, EXACT) \
496 FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, false, \
497 false, CALC (mpfr_ff_f, MPFR_FUNC))
498 #define FUNC_mpfr_if_f(NAME, MPFR_FUNC, EXACT) \
499 FUNC (NAME, ARGS2 (type_int, type_fp), RET1 (type_fp), EXACT, false, \
500 false, CALC (mpfr_if_f, MPFR_FUNC))
501 #define FUNC_mpc_c_f(NAME, MPFR_FUNC, EXACT) \
502 FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, true, \
503 false, CALC (mpc_c_f, MPFR_FUNC))
504 #define FUNC_mpc_c_c(NAME, MPFR_FUNC, EXACT) \
505 FUNC (NAME, ARGS2 (type_fp, type_fp), RET2 (type_fp, type_fp), EXACT, \
506 true, false, CALC (mpc_c_c, MPFR_FUNC))
508 /* List of functions handled by this program. */
509 static test_function test_functions[] =
511 FUNC_mpfr_f_f ("acos", mpfr_acos, false),
512 FUNC_mpfr_f_f ("acosh", mpfr_acosh, false),
513 FUNC_mpfr_f_f ("asin", mpfr_asin, false),
514 FUNC_mpfr_f_f ("asinh", mpfr_asinh, false),
515 FUNC_mpfr_f_f ("atan", mpfr_atan, false),
516 FUNC_mpfr_ff_f ("atan2", mpfr_atan2, false),
517 FUNC_mpfr_f_f ("atanh", mpfr_atanh, false),
518 FUNC_mpc_c_f ("cabs", mpc_abs, false),
519 FUNC_mpc_c_c ("cacos", mpc_acos, false),
520 FUNC_mpc_c_c ("cacosh", mpc_acosh, false),
521 FUNC_mpc_c_f ("carg", mpc_arg, false),
522 FUNC_mpc_c_c ("casin", mpc_asin, false),
523 FUNC_mpc_c_c ("casinh", mpc_asinh, false),
524 FUNC_mpc_c_c ("catan", mpc_atan, false),
525 FUNC_mpc_c_c ("catanh", mpc_atanh, false),
526 FUNC_mpfr_f_f ("cbrt", mpfr_cbrt, false),
527 FUNC_mpc_c_c ("ccos", mpc_cos, false),
528 FUNC_mpc_c_c ("ccosh", mpc_cosh, false),
529 FUNC_mpc_c_c ("cexp", mpc_exp, false),
530 FUNC_mpc_c_c ("clog", mpc_log, false),
531 FUNC_mpc_c_c ("clog10", mpc_log10, false),
532 FUNC_mpfr_f_f ("cos", mpfr_cos, false),
533 FUNC_mpfr_f_f ("cosh", mpfr_cosh, false),
534 FUNC ("cpow", ARGS4 (type_fp, type_fp, type_fp, type_fp),
535 RET2 (type_fp, type_fp), false, true, false,
536 CALC (mpc_cc_c, mpc_pow)),
537 FUNC_mpc_c_c ("csin", mpc_sin, false),
538 FUNC_mpc_c_c ("csinh", mpc_sinh, false),
539 FUNC_mpc_c_c ("csqrt", mpc_sqrt, false),
540 FUNC_mpc_c_c ("ctan", mpc_tan, false),
541 FUNC_mpc_c_c ("ctanh", mpc_tanh, false),
542 FUNC_mpfr_f_f ("erf", mpfr_erf, false),
543 FUNC_mpfr_f_f ("erfc", mpfr_erfc, false),
544 FUNC_mpfr_f_f ("exp", mpfr_exp, false),
545 FUNC_mpfr_f_f ("exp10", mpfr_exp10, false),
546 FUNC_mpfr_f_f ("exp2", mpfr_exp2, false),
547 FUNC_mpfr_f_f ("expm1", mpfr_expm1, false),
548 FUNC ("fma", ARGS3 (type_fp, type_fp, type_fp), RET1 (type_fp),
549 true, false, true, CALC (mpfr_fff_f, mpfr_fma)),
550 FUNC_mpfr_ff_f ("hypot", mpfr_hypot, false),
551 FUNC_mpfr_f_f ("j0", mpfr_j0, false),
552 FUNC_mpfr_f_f ("j1", mpfr_j1, false),
553 FUNC_mpfr_if_f ("jn", mpfr_jn, false),
554 FUNC ("lgamma", ARGS1 (type_fp), RET2 (type_fp, type_int), false, false,
555 false, CALC (mpfr_f_f1, mpfr_lgamma)),
556 FUNC_mpfr_f_f ("log", mpfr_log, false),
557 FUNC_mpfr_f_f ("log10", mpfr_log10, false),
558 FUNC_mpfr_f_f ("log1p", mpfr_log1p, false),
559 FUNC_mpfr_f_f ("log2", mpfr_log2, false),
560 FUNC_mpfr_ff_f ("pow", mpfr_pow, false),
561 FUNC_mpfr_f_f ("sin", mpfr_sin, false),
562 FUNC ("sincos", ARGS1 (type_fp), RET2 (type_fp, type_fp), false, false,
563 false, CALC (mpfr_f_11, mpfr_sin_cos)),
564 FUNC_mpfr_f_f ("sinh", mpfr_sinh, false),
565 FUNC_mpfr_f_f ("sqrt", mpfr_sqrt, true),
566 FUNC_mpfr_f_f ("tan", mpfr_tan, false),
567 FUNC_mpfr_f_f ("tanh", mpfr_tanh, false),
568 FUNC_mpfr_f_f ("tgamma", mpfr_gamma, false),
569 FUNC_mpfr_f_f ("y0", mpfr_y0, false),
570 FUNC_mpfr_f_f ("y1", mpfr_y1, false),
571 FUNC_mpfr_if_f ("yn", mpfr_yn, false),
574 /* Allocate memory, with error checking. */
576 static void *
577 xmalloc (size_t n)
579 void *p = malloc (n);
580 if (p == NULL)
581 error (EXIT_FAILURE, errno, "xmalloc failed");
582 return p;
585 static void *
586 xrealloc (void *p, size_t n)
588 p = realloc (p, n);
589 if (p == NULL)
590 error (EXIT_FAILURE, errno, "xrealloc failed");
591 return p;
594 static char *
595 xstrdup (const char *s)
597 char *p = strdup (s);
598 if (p == NULL)
599 error (EXIT_FAILURE, errno, "xstrdup failed");
600 return p;
603 /* Assert that the result of an MPFR operation was exact; that is,
604 that the returned ternary value was 0. */
606 static void
607 assert_exact (int i)
609 assert (i == 0);
612 /* Return the generic type of an argument or return value type T. */
614 static generic_value_type
615 generic_arg_ret_type (arg_ret_type t)
617 switch (t)
619 case type_fp:
620 return gtype_fp;
622 case type_int:
623 case type_long:
624 case type_long_long:
625 return gtype_int;
627 default:
628 abort ();
632 /* Free a generic_value *V. */
634 static void
635 generic_value_free (generic_value *v)
637 switch (v->type)
639 case gtype_fp:
640 mpfr_clear (v->value.f);
641 break;
643 case gtype_int:
644 mpz_clear (v->value.i);
645 break;
647 default:
648 abort ();
652 /* Copy a generic_value *SRC to *DEST. */
654 static void
655 generic_value_copy (generic_value *dest, const generic_value *src)
657 dest->type = src->type;
658 switch (src->type)
660 case gtype_fp:
661 mpfr_init (dest->value.f);
662 assert_exact (mpfr_set (dest->value.f, src->value.f, MPFR_RNDN));
663 break;
665 case gtype_int:
666 mpz_init (dest->value.i);
667 mpz_set (dest->value.i, src->value.i);
668 break;
670 default:
671 abort ();
675 /* Initialize data for floating-point formats. */
677 static void
678 init_fp_formats (void)
680 int global_max_exp = 0, global_min_subnorm_exp = 0;
681 for (fp_format f = fp_first_format; f < fp_num_formats; f++)
683 if (fp_formats[f].mant_dig + 2 > internal_precision)
684 internal_precision = fp_formats[f].mant_dig + 2;
685 if (fp_formats[f].max_exp > global_max_exp)
686 global_max_exp = fp_formats[f].max_exp;
687 int min_subnorm_exp = fp_formats[f].min_exp - fp_formats[f].mant_dig;
688 if (min_subnorm_exp < global_min_subnorm_exp)
689 global_min_subnorm_exp = min_subnorm_exp;
690 mpfr_init2 (fp_formats[f].max, fp_formats[f].mant_dig);
691 if (fp_formats[f].max_string != NULL)
693 char *ep = NULL;
694 assert_exact (mpfr_strtofr (fp_formats[f].max,
695 fp_formats[f].max_string,
696 &ep, 0, MPFR_RNDN));
697 assert (*ep == 0);
699 else
701 assert_exact (mpfr_set_ui_2exp (fp_formats[f].max, 1,
702 fp_formats[f].max_exp,
703 MPFR_RNDN));
704 mpfr_nextbelow (fp_formats[f].max);
706 mpfr_init2 (fp_formats[f].min, fp_formats[f].mant_dig);
707 assert_exact (mpfr_set_ui_2exp (fp_formats[f].min, 1,
708 fp_formats[f].min_exp - 1,
709 MPFR_RNDN));
710 mpfr_init2 (fp_formats[f].min_plus_half, fp_formats[f].mant_dig + 1);
711 assert_exact (mpfr_set (fp_formats[f].min_plus_half,
712 fp_formats[f].min, MPFR_RNDN));
713 mpfr_nextabove (fp_formats[f].min_plus_half);
714 mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig);
715 assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min,
716 MPFR_RNDN));
717 mpfr_nextbelow (fp_formats[f].subnorm_max);
718 mpfr_nextbelow (fp_formats[f].subnorm_max);
719 mpfr_init2 (fp_formats[f].subnorm_min, fp_formats[f].mant_dig);
720 assert_exact (mpfr_set_ui_2exp (fp_formats[f].subnorm_min, 1,
721 min_subnorm_exp, MPFR_RNDN));
723 mpfr_set_default_prec (internal_precision);
724 mpfr_init (global_max);
725 assert_exact (mpfr_set_ui_2exp (global_max, 1, global_max_exp, MPFR_RNDN));
726 mpfr_init (global_min);
727 assert_exact (mpfr_set_ui_2exp (global_min, 1, global_min_subnorm_exp - 1,
728 MPFR_RNDN));
731 /* Fill in mpfr_t values for special strings in input arguments. */
733 static size_t
734 special_fill_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
735 fp_format format)
737 mpfr_init2 (res0, fp_formats[format].mant_dig);
738 assert_exact (mpfr_set (res0, fp_formats[format].max, MPFR_RNDN));
739 return 1;
742 static size_t
743 special_fill_minus_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
744 fp_format format)
746 mpfr_init2 (res0, fp_formats[format].mant_dig);
747 assert_exact (mpfr_neg (res0, fp_formats[format].max, MPFR_RNDN));
748 return 1;
751 static size_t
752 special_fill_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
753 fp_format format)
755 mpfr_init2 (res0, fp_formats[format].mant_dig);
756 assert_exact (mpfr_set (res0, fp_formats[format].min, MPFR_RNDN));
757 return 1;
760 static size_t
761 special_fill_minus_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
762 fp_format format)
764 mpfr_init2 (res0, fp_formats[format].mant_dig);
765 assert_exact (mpfr_neg (res0, fp_formats[format].min, MPFR_RNDN));
766 return 1;
769 static size_t
770 special_fill_min_subnorm (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
771 fp_format format)
773 mpfr_init2 (res0, fp_formats[format].mant_dig);
774 assert_exact (mpfr_set (res0, fp_formats[format].subnorm_min, MPFR_RNDN));
775 return 1;
778 static size_t
779 special_fill_minus_min_subnorm (mpfr_t res0,
780 mpfr_t res1 __attribute__ ((unused)),
781 fp_format format)
783 mpfr_init2 (res0, fp_formats[format].mant_dig);
784 assert_exact (mpfr_neg (res0, fp_formats[format].subnorm_min, MPFR_RNDN));
785 return 1;
788 static size_t
789 special_fill_min_subnorm_p120 (mpfr_t res0,
790 mpfr_t res1 __attribute__ ((unused)),
791 fp_format format)
793 mpfr_init2 (res0, fp_formats[format].mant_dig);
794 assert_exact (mpfr_mul_2ui (res0, fp_formats[format].subnorm_min,
795 120, MPFR_RNDN));
796 return 1;
799 static size_t
800 special_fill_pi (mpfr_t res0, mpfr_t res1, fp_format format)
802 mpfr_init2 (res0, fp_formats[format].mant_dig);
803 mpfr_const_pi (res0, MPFR_RNDU);
804 mpfr_init2 (res1, fp_formats[format].mant_dig);
805 mpfr_const_pi (res1, MPFR_RNDD);
806 return 2;
809 static size_t
810 special_fill_minus_pi (mpfr_t res0, mpfr_t res1, fp_format format)
812 mpfr_init2 (res0, fp_formats[format].mant_dig);
813 mpfr_const_pi (res0, MPFR_RNDU);
814 assert_exact (mpfr_neg (res0, res0, MPFR_RNDN));
815 mpfr_init2 (res1, fp_formats[format].mant_dig);
816 mpfr_const_pi (res1, MPFR_RNDD);
817 assert_exact (mpfr_neg (res1, res1, MPFR_RNDN));
818 return 2;
821 static size_t
822 special_fill_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format)
824 mpfr_init2 (res0, fp_formats[format].mant_dig);
825 mpfr_const_pi (res0, MPFR_RNDU);
826 assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN));
827 mpfr_init2 (res1, fp_formats[format].mant_dig);
828 mpfr_const_pi (res1, MPFR_RNDD);
829 assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN));
830 return 2;
833 static size_t
834 special_fill_minus_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format)
836 mpfr_init2 (res0, fp_formats[format].mant_dig);
837 mpfr_const_pi (res0, MPFR_RNDU);
838 assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN));
839 assert_exact (mpfr_neg (res0, res0, MPFR_RNDN));
840 mpfr_init2 (res1, fp_formats[format].mant_dig);
841 mpfr_const_pi (res1, MPFR_RNDD);
842 assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN));
843 assert_exact (mpfr_neg (res1, res1, MPFR_RNDN));
844 return 2;
847 static size_t
848 special_fill_pi_4 (mpfr_t res0, mpfr_t res1, fp_format format)
850 mpfr_init2 (res0, fp_formats[format].mant_dig);
851 assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
852 mpfr_atan (res0, res0, MPFR_RNDU);
853 mpfr_init2 (res1, fp_formats[format].mant_dig);
854 assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
855 mpfr_atan (res1, res1, MPFR_RNDD);
856 return 2;
859 static size_t
860 special_fill_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format)
862 mpfr_init2 (res0, fp_formats[format].mant_dig);
863 assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN));
864 mpfr_asin (res0, res0, MPFR_RNDU);
865 mpfr_init2 (res1, fp_formats[format].mant_dig);
866 assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN));
867 mpfr_asin (res1, res1, MPFR_RNDD);
868 return 2;
871 static size_t
872 special_fill_minus_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format)
874 mpfr_init2 (res0, fp_formats[format].mant_dig);
875 assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN));
876 mpfr_asin (res0, res0, MPFR_RNDU);
877 mpfr_init2 (res1, fp_formats[format].mant_dig);
878 assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN));
879 mpfr_asin (res1, res1, MPFR_RNDD);
880 return 2;
883 static size_t
884 special_fill_pi_3 (mpfr_t res0, mpfr_t res1, fp_format format)
886 mpfr_init2 (res0, fp_formats[format].mant_dig);
887 assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN));
888 mpfr_acos (res0, res0, MPFR_RNDU);
889 mpfr_init2 (res1, fp_formats[format].mant_dig);
890 assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN));
891 mpfr_acos (res1, res1, MPFR_RNDD);
892 return 2;
895 static size_t
896 special_fill_2pi_3 (mpfr_t res0, mpfr_t res1, fp_format format)
898 mpfr_init2 (res0, fp_formats[format].mant_dig);
899 assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN));
900 mpfr_acos (res0, res0, MPFR_RNDU);
901 mpfr_init2 (res1, fp_formats[format].mant_dig);
902 assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN));
903 mpfr_acos (res1, res1, MPFR_RNDD);
904 return 2;
907 static size_t
908 special_fill_2pi (mpfr_t res0, mpfr_t res1, fp_format format)
910 mpfr_init2 (res0, fp_formats[format].mant_dig);
911 mpfr_const_pi (res0, MPFR_RNDU);
912 assert_exact (mpfr_mul_ui (res0, res0, 2, MPFR_RNDN));
913 mpfr_init2 (res1, fp_formats[format].mant_dig);
914 mpfr_const_pi (res1, MPFR_RNDD);
915 assert_exact (mpfr_mul_ui (res1, res1, 2, MPFR_RNDN));
916 return 2;
919 static size_t
920 special_fill_e (mpfr_t res0, mpfr_t res1, fp_format format)
922 mpfr_init2 (res0, fp_formats[format].mant_dig);
923 assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
924 mpfr_exp (res0, res0, MPFR_RNDU);
925 mpfr_init2 (res1, fp_formats[format].mant_dig);
926 assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
927 mpfr_exp (res1, res1, MPFR_RNDD);
928 return 2;
931 static size_t
932 special_fill_1_e (mpfr_t res0, mpfr_t res1, fp_format format)
934 mpfr_init2 (res0, fp_formats[format].mant_dig);
935 assert_exact (mpfr_set_si (res0, -1, MPFR_RNDN));
936 mpfr_exp (res0, res0, MPFR_RNDU);
937 mpfr_init2 (res1, fp_formats[format].mant_dig);
938 assert_exact (mpfr_set_si (res1, -1, MPFR_RNDN));
939 mpfr_exp (res1, res1, MPFR_RNDD);
940 return 2;
943 static size_t
944 special_fill_e_minus_1 (mpfr_t res0, mpfr_t res1, fp_format format)
946 mpfr_init2 (res0, fp_formats[format].mant_dig);
947 assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
948 mpfr_expm1 (res0, res0, MPFR_RNDU);
949 mpfr_init2 (res1, fp_formats[format].mant_dig);
950 assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
951 mpfr_expm1 (res1, res1, MPFR_RNDD);
952 return 2;
955 /* A special string accepted in input arguments. */
956 typedef struct
958 /* The string. */
959 const char *str;
960 /* The function that interprets it for a given floating-point
961 format, filling in up to two mpfr_t values and returning the
962 number of values filled. */
963 size_t (*func) (mpfr_t, mpfr_t, fp_format);
964 } special_real_input;
966 /* List of special strings accepted in input arguments. */
968 static const special_real_input special_real_inputs[] =
970 { "max", special_fill_max },
971 { "-max", special_fill_minus_max },
972 { "min", special_fill_min },
973 { "-min", special_fill_minus_min },
974 { "min_subnorm", special_fill_min_subnorm },
975 { "-min_subnorm", special_fill_minus_min_subnorm },
976 { "min_subnorm_p120", special_fill_min_subnorm_p120 },
977 { "pi", special_fill_pi },
978 { "-pi", special_fill_minus_pi },
979 { "pi/2", special_fill_pi_2 },
980 { "-pi/2", special_fill_minus_pi_2 },
981 { "pi/4", special_fill_pi_4 },
982 { "pi/6", special_fill_pi_6 },
983 { "-pi/6", special_fill_minus_pi_6 },
984 { "pi/3", special_fill_pi_3 },
985 { "2pi/3", special_fill_2pi_3 },
986 { "2pi", special_fill_2pi },
987 { "e", special_fill_e },
988 { "1/e", special_fill_1_e },
989 { "e-1", special_fill_e_minus_1 },
992 /* Given a real number R computed in round-to-zero mode, set the
993 lowest bit as a sticky bit if INEXACT, and saturate the exponent
994 range for very large or small values. */
996 static void
997 adjust_real (mpfr_t r, bool inexact)
999 if (!inexact)
1000 return;
1001 /* NaNs are exact, as are infinities in round-to-zero mode. */
1002 assert (mpfr_number_p (r));
1003 if (mpfr_cmpabs (r, global_min) < 0)
1004 assert_exact (mpfr_copysign (r, global_min, r, MPFR_RNDN));
1005 else if (mpfr_cmpabs (r, global_max) > 0)
1006 assert_exact (mpfr_copysign (r, global_max, r, MPFR_RNDN));
1007 else
1009 mpz_t tmp;
1010 mpz_init (tmp);
1011 mpfr_exp_t e = mpfr_get_z_2exp (tmp, r);
1012 if (mpz_sgn (tmp) < 0)
1014 mpz_neg (tmp, tmp);
1015 mpz_setbit (tmp, 0);
1016 mpz_neg (tmp, tmp);
1018 else
1019 mpz_setbit (tmp, 0);
1020 assert_exact (mpfr_set_z_2exp (r, tmp, e, MPFR_RNDN));
1021 mpz_clear (tmp);
1025 /* Given a finite real number R with sticky bit, compute the roundings
1026 to FORMAT in each rounding mode, storing the results in RES, the
1027 before-rounding exceptions in EXC_BEFORE and the after-rounding
1028 exceptions in EXC_AFTER. */
1030 static void
1031 round_real (mpfr_t res[rm_num_modes],
1032 unsigned int exc_before[rm_num_modes],
1033 unsigned int exc_after[rm_num_modes],
1034 mpfr_t r, fp_format format)
1036 assert (mpfr_number_p (r));
1037 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
1039 mpfr_init2 (res[m], fp_formats[format].mant_dig);
1040 exc_before[m] = exc_after[m] = 0;
1041 bool inexact = mpfr_set (res[m], r, rounding_modes[m].mpfr_mode);
1042 if (mpfr_cmpabs (res[m], fp_formats[format].max) > 0)
1044 inexact = true;
1045 exc_before[m] |= 1U << exc_overflow;
1046 exc_after[m] |= 1U << exc_overflow;
1047 bool overflow_inf;
1048 switch (m)
1050 case rm_tonearest:
1051 overflow_inf = true;
1052 break;
1053 case rm_towardzero:
1054 overflow_inf = false;
1055 break;
1056 case rm_downward:
1057 overflow_inf = mpfr_signbit (res[m]);
1058 break;
1059 case rm_upward:
1060 overflow_inf = !mpfr_signbit (res[m]);
1061 break;
1062 default:
1063 abort ();
1065 if (overflow_inf)
1066 mpfr_set_inf (res[m], mpfr_signbit (res[m]) ? -1 : 1);
1067 else
1068 assert_exact (mpfr_copysign (res[m], fp_formats[format].max,
1069 res[m], MPFR_RNDN));
1071 if (mpfr_cmpabs (r, fp_formats[format].min) < 0)
1073 /* Tiny before rounding; may or may not be tiny after
1074 rounding, and underflow applies only if also inexact
1075 around rounding to a possibly subnormal value. */
1076 bool tiny_after_rounding
1077 = mpfr_cmpabs (res[m], fp_formats[format].min) < 0;
1078 /* To round to a possibly subnormal value, and determine
1079 inexactness as a subnormal in the process, scale up and
1080 round to integer, then scale back down. */
1081 mpfr_t tmp;
1082 mpfr_init (tmp);
1083 assert_exact (mpfr_mul_2si (tmp, r, (fp_formats[format].mant_dig
1084 - fp_formats[format].min_exp),
1085 MPFR_RNDN));
1086 int rint_res = mpfr_rint (tmp, tmp, rounding_modes[m].mpfr_mode);
1087 /* The integer must be representable. */
1088 assert (rint_res == 0 || rint_res == 2 || rint_res == -2);
1089 /* If rounding to full precision was inexact, so must
1090 rounding to subnormal precision be inexact. */
1091 if (inexact)
1092 assert (rint_res != 0);
1093 else
1094 inexact = rint_res != 0;
1095 assert_exact (mpfr_mul_2si (res[m], tmp,
1096 (fp_formats[format].min_exp
1097 - fp_formats[format].mant_dig),
1098 MPFR_RNDN));
1099 mpfr_clear (tmp);
1100 if (inexact)
1102 exc_before[m] |= 1U << exc_underflow;
1103 if (tiny_after_rounding)
1104 exc_after[m] |= 1U << exc_underflow;
1107 if (inexact)
1109 exc_before[m] |= 1U << exc_inexact;
1110 exc_after[m] |= 1U << exc_inexact;
1115 /* Handle the input argument at ARG (NUL-terminated), updating the
1116 lists of test inputs in IT accordingly. NUM_PREV_ARGS arguments
1117 are already in those lists. If EXACT_ARGS, interpret a value given
1118 as a floating-point constant exactly (it must be exact for some
1119 supported format) rather than rounding up and down. The argument,
1120 of type GTYPE, comes from file FILENAME, line LINENO. */
1122 static void
1123 handle_input_arg (const char *arg, input_test *it, size_t num_prev_args,
1124 generic_value_type gtype, bool exact_args,
1125 const char *filename, unsigned int lineno)
1127 size_t num_values = 0;
1128 generic_value values[2 * fp_num_formats];
1129 bool check_empty_list = false;
1130 switch (gtype)
1132 case gtype_fp:
1133 for (fp_format f = fp_first_format; f < fp_num_formats; f++)
1135 mpfr_t extra_values[2];
1136 size_t num_extra_values = 0;
1137 for (size_t i = 0; i < ARRAY_SIZE (special_real_inputs); i++)
1139 if (strcmp (arg, special_real_inputs[i].str) == 0)
1141 num_extra_values
1142 = special_real_inputs[i].func (extra_values[0],
1143 extra_values[1], f);
1144 assert (num_extra_values > 0
1145 && num_extra_values <= ARRAY_SIZE (extra_values));
1146 break;
1149 if (num_extra_values == 0)
1151 mpfr_t tmp;
1152 char *ep;
1153 if (exact_args)
1154 check_empty_list = true;
1155 mpfr_init (tmp);
1156 bool inexact = mpfr_strtofr (tmp, arg, &ep, 0, MPFR_RNDZ);
1157 if (*ep != 0 || !mpfr_number_p (tmp))
1158 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1159 "bad floating-point argument: '%s'", arg);
1160 adjust_real (tmp, inexact);
1161 mpfr_t rounded[rm_num_modes];
1162 unsigned int exc_before[rm_num_modes];
1163 unsigned int exc_after[rm_num_modes];
1164 round_real (rounded, exc_before, exc_after, tmp, f);
1165 mpfr_clear (tmp);
1166 if (mpfr_number_p (rounded[rm_upward])
1167 && (!exact_args || mpfr_equal_p (rounded[rm_upward],
1168 rounded[rm_downward])))
1170 mpfr_init2 (extra_values[num_extra_values],
1171 fp_formats[f].mant_dig);
1172 assert_exact (mpfr_set (extra_values[num_extra_values],
1173 rounded[rm_upward], MPFR_RNDN));
1174 num_extra_values++;
1176 if (mpfr_number_p (rounded[rm_downward]) && !exact_args)
1178 mpfr_init2 (extra_values[num_extra_values],
1179 fp_formats[f].mant_dig);
1180 assert_exact (mpfr_set (extra_values[num_extra_values],
1181 rounded[rm_downward], MPFR_RNDN));
1182 num_extra_values++;
1184 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
1185 mpfr_clear (rounded[m]);
1187 for (size_t i = 0; i < num_extra_values; i++)
1189 bool found = false;
1190 for (size_t j = 0; j < num_values; j++)
1192 if (mpfr_equal_p (values[j].value.f, extra_values[i])
1193 && ((mpfr_signbit (values[j].value.f) != 0)
1194 == (mpfr_signbit (extra_values[i]) != 0)))
1196 found = true;
1197 break;
1200 if (!found)
1202 assert (num_values < ARRAY_SIZE (values));
1203 values[num_values].type = gtype_fp;
1204 mpfr_init2 (values[num_values].value.f,
1205 fp_formats[f].mant_dig);
1206 assert_exact (mpfr_set (values[num_values].value.f,
1207 extra_values[i], MPFR_RNDN));
1208 num_values++;
1210 mpfr_clear (extra_values[i]);
1213 break;
1215 case gtype_int:
1216 num_values = 1;
1217 values[0].type = gtype_int;
1218 int ret = mpz_init_set_str (values[0].value.i, arg, 0);
1219 if (ret != 0)
1220 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1221 "bad integer argument: '%s'", arg);
1222 break;
1224 default:
1225 abort ();
1227 if (check_empty_list && num_values == 0)
1228 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1229 "floating-point argument not exact for any format: '%s'",
1230 arg);
1231 assert (num_values > 0 && num_values <= ARRAY_SIZE (values));
1232 if (it->num_input_cases >= SIZE_MAX / num_values)
1233 error_at_line (EXIT_FAILURE, 0, filename, lineno, "too many input cases");
1234 generic_value **old_inputs = it->inputs;
1235 size_t new_num_input_cases = it->num_input_cases * num_values;
1236 generic_value **new_inputs = xmalloc (new_num_input_cases
1237 * sizeof (new_inputs[0]));
1238 for (size_t i = 0; i < it->num_input_cases; i++)
1240 for (size_t j = 0; j < num_values; j++)
1242 size_t idx = i * num_values + j;
1243 new_inputs[idx] = xmalloc ((num_prev_args + 1)
1244 * sizeof (new_inputs[idx][0]));
1245 for (size_t k = 0; k < num_prev_args; k++)
1246 generic_value_copy (&new_inputs[idx][k], &old_inputs[i][k]);
1247 generic_value_copy (&new_inputs[idx][num_prev_args], &values[j]);
1249 for (size_t j = 0; j < num_prev_args; j++)
1250 generic_value_free (&old_inputs[i][j]);
1251 free (old_inputs[i]);
1253 free (old_inputs);
1254 for (size_t i = 0; i < num_values; i++)
1255 generic_value_free (&values[i]);
1256 it->inputs = new_inputs;
1257 it->num_input_cases = new_num_input_cases;
1260 /* Handle the input flag ARG (NUL-terminated), storing it in *FLAG.
1261 The flag comes from file FILENAME, line LINENO. */
1263 static void
1264 handle_input_flag (char *arg, input_flag *flag,
1265 const char *filename, unsigned int lineno)
1267 char *ep = strchr (arg, ':');
1268 if (ep == NULL)
1270 ep = strchr (arg, 0);
1271 assert (ep != NULL);
1273 char c = *ep;
1274 *ep = 0;
1275 bool found = false;
1276 for (input_flag_type i = flag_first_flag; i <= num_input_flag_types; i++)
1278 if (strcmp (arg, input_flags[i]) == 0)
1280 found = true;
1281 flag->type = i;
1282 break;
1285 if (!found)
1286 error_at_line (EXIT_FAILURE, 0, filename, lineno, "unknown flag: '%s'",
1287 arg);
1288 *ep = c;
1289 if (c == 0)
1290 flag->cond = NULL;
1291 else
1292 flag->cond = xstrdup (ep);
1295 /* Add the test LINE (file FILENAME, line LINENO) to the test
1296 data. */
1298 static void
1299 add_test (char *line, const char *filename, unsigned int lineno)
1301 size_t num_tokens = 1;
1302 char *p = line;
1303 while ((p = strchr (p, ' ')) != NULL)
1305 num_tokens++;
1306 p++;
1308 if (num_tokens < 2)
1309 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1310 "line too short: '%s'", line);
1311 p = strchr (line, ' ');
1312 size_t func_name_len = p - line;
1313 for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++)
1315 if (func_name_len == strlen (test_functions[i].name)
1316 && strncmp (line, test_functions[i].name, func_name_len) == 0)
1318 test_function *tf = &test_functions[i];
1319 if (num_tokens < 1 + tf->num_args)
1320 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1321 "line too short: '%s'", line);
1322 if (tf->num_tests == tf->num_tests_alloc)
1324 tf->num_tests_alloc = 2 * tf->num_tests_alloc + 16;
1325 tf->tests
1326 = xrealloc (tf->tests,
1327 tf->num_tests_alloc * sizeof (tf->tests[0]));
1329 input_test *it = &tf->tests[tf->num_tests];
1330 it->line = line;
1331 it->num_input_cases = 1;
1332 it->inputs = xmalloc (sizeof (it->inputs[0]));
1333 it->inputs[0] = NULL;
1334 it->old_output = NULL;
1335 p++;
1336 for (size_t j = 0; j < tf->num_args; j++)
1338 char *ep = strchr (p, ' ');
1339 if (ep == NULL)
1341 ep = strchr (p, '\n');
1342 assert (ep != NULL);
1344 if (ep == p)
1345 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1346 "empty token in line: '%s'", line);
1347 for (char *t = p; t < ep; t++)
1348 if (isspace ((unsigned char) *t))
1349 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1350 "whitespace in token in line: '%s'", line);
1351 char c = *ep;
1352 *ep = 0;
1353 handle_input_arg (p, it, j,
1354 generic_arg_ret_type (tf->arg_types[j]),
1355 tf->exact_args, filename, lineno);
1356 *ep = c;
1357 p = ep + 1;
1359 it->num_flags = num_tokens - 1 - tf->num_args;
1360 it->flags = xmalloc (it->num_flags * sizeof (it->flags[0]));
1361 for (size_t j = 0; j < it->num_flags; j++)
1363 char *ep = strchr (p, ' ');
1364 if (ep == NULL)
1366 ep = strchr (p, '\n');
1367 assert (ep != NULL);
1369 if (ep == p)
1370 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1371 "empty token in line: '%s'", line);
1372 for (char *t = p; t < ep; t++)
1373 if (isspace ((unsigned char) *t))
1374 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1375 "whitespace in token in line: '%s'", line);
1376 char c = *ep;
1377 *ep = 0;
1378 handle_input_flag (p, &it->flags[j], filename, lineno);
1379 *ep = c;
1380 p = ep + 1;
1382 assert (*p == 0);
1383 tf->num_tests++;
1384 return;
1387 error_at_line (EXIT_FAILURE, 0, filename, lineno,
1388 "unknown function in line: '%s'", line);
1391 /* Read in the test input data from FILENAME. */
1393 static void
1394 read_input (const char *filename)
1396 FILE *fp = fopen (filename, "r");
1397 if (fp == NULL)
1398 error (EXIT_FAILURE, errno, "open '%s'", filename);
1399 unsigned int lineno = 0;
1400 for (;;)
1402 size_t size = 0;
1403 char *line = NULL;
1404 ssize_t ret = getline (&line, &size, fp);
1405 if (ret == -1)
1406 break;
1407 lineno++;
1408 if (line[0] == '#' || line[0] == '\n')
1409 continue;
1410 add_test (line, filename, lineno);
1412 if (ferror (fp))
1413 error (EXIT_FAILURE, errno, "read from '%s'", filename);
1414 if (fclose (fp) != 0)
1415 error (EXIT_FAILURE, errno, "close '%s'", filename);
1418 /* Calculate the generic results (round-to-zero with sticky bit) for
1419 the function described by CALC, with inputs INPUTS, if MODE is
1420 rm_towardzero; for other modes, calculate results in that mode,
1421 which must be exact zero results. */
1423 static void
1424 calc_generic_results (generic_value *outputs, generic_value *inputs,
1425 const func_calc_desc *calc, rounding_mode mode)
1427 bool inexact;
1428 int mpc_ternary;
1429 mpc_t ci1, ci2, co;
1430 mpfr_rnd_t mode_mpfr = rounding_modes[mode].mpfr_mode;
1431 mpc_rnd_t mode_mpc = rounding_modes[mode].mpc_mode;
1433 switch (calc->method)
1435 case mpfr_f_f:
1436 assert (inputs[0].type == gtype_fp);
1437 outputs[0].type = gtype_fp;
1438 mpfr_init (outputs[0].value.f);
1439 inexact = calc->func.mpfr_f_f (outputs[0].value.f, inputs[0].value.f,
1440 mode_mpfr);
1441 if (mode != rm_towardzero)
1442 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1443 adjust_real (outputs[0].value.f, inexact);
1444 break;
1446 case mpfr_ff_f:
1447 assert (inputs[0].type == gtype_fp);
1448 assert (inputs[1].type == gtype_fp);
1449 outputs[0].type = gtype_fp;
1450 mpfr_init (outputs[0].value.f);
1451 inexact = calc->func.mpfr_ff_f (outputs[0].value.f, inputs[0].value.f,
1452 inputs[1].value.f, mode_mpfr);
1453 if (mode != rm_towardzero)
1454 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1455 adjust_real (outputs[0].value.f, inexact);
1456 break;
1458 case mpfr_fff_f:
1459 assert (inputs[0].type == gtype_fp);
1460 assert (inputs[1].type == gtype_fp);
1461 assert (inputs[2].type == gtype_fp);
1462 outputs[0].type = gtype_fp;
1463 mpfr_init (outputs[0].value.f);
1464 inexact = calc->func.mpfr_fff_f (outputs[0].value.f, inputs[0].value.f,
1465 inputs[1].value.f, inputs[2].value.f,
1466 mode_mpfr);
1467 if (mode != rm_towardzero)
1468 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1469 adjust_real (outputs[0].value.f, inexact);
1470 break;
1472 case mpfr_f_f1:
1473 assert (inputs[0].type == gtype_fp);
1474 outputs[0].type = gtype_fp;
1475 outputs[1].type = gtype_int;
1476 mpfr_init (outputs[0].value.f);
1477 int i = 0;
1478 inexact = calc->func.mpfr_f_f1 (outputs[0].value.f, &i,
1479 inputs[0].value.f, mode_mpfr);
1480 if (mode != rm_towardzero)
1481 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1482 adjust_real (outputs[0].value.f, inexact);
1483 mpz_init_set_si (outputs[1].value.i, i);
1484 break;
1486 case mpfr_if_f:
1487 assert (inputs[0].type == gtype_int);
1488 assert (inputs[1].type == gtype_fp);
1489 outputs[0].type = gtype_fp;
1490 mpfr_init (outputs[0].value.f);
1491 assert (mpz_fits_slong_p (inputs[0].value.i));
1492 long l = mpz_get_si (inputs[0].value.i);
1493 inexact = calc->func.mpfr_if_f (outputs[0].value.f, l,
1494 inputs[1].value.f, mode_mpfr);
1495 if (mode != rm_towardzero)
1496 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1497 adjust_real (outputs[0].value.f, inexact);
1498 break;
1500 case mpfr_f_11:
1501 assert (inputs[0].type == gtype_fp);
1502 outputs[0].type = gtype_fp;
1503 mpfr_init (outputs[0].value.f);
1504 outputs[1].type = gtype_fp;
1505 mpfr_init (outputs[1].value.f);
1506 int comb_ternary = calc->func.mpfr_f_11 (outputs[0].value.f,
1507 outputs[1].value.f,
1508 inputs[0].value.f,
1509 mode_mpfr);
1510 if (mode != rm_towardzero)
1511 assert (((comb_ternary & 0x3) == 0
1512 && mpfr_zero_p (outputs[0].value.f))
1513 || ((comb_ternary & 0xc) == 0
1514 && mpfr_zero_p (outputs[1].value.f)));
1515 adjust_real (outputs[0].value.f, (comb_ternary & 0x3) != 0);
1516 adjust_real (outputs[1].value.f, (comb_ternary & 0xc) != 0);
1517 break;
1519 case mpc_c_f:
1520 assert (inputs[0].type == gtype_fp);
1521 assert (inputs[1].type == gtype_fp);
1522 outputs[0].type = gtype_fp;
1523 mpfr_init (outputs[0].value.f);
1524 mpc_init2 (ci1, internal_precision);
1525 assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
1526 MPC_RNDNN));
1527 inexact = calc->func.mpc_c_f (outputs[0].value.f, ci1, mode_mpfr);
1528 if (mode != rm_towardzero)
1529 assert (!inexact && mpfr_zero_p (outputs[0].value.f));
1530 adjust_real (outputs[0].value.f, inexact);
1531 mpc_clear (ci1);
1532 break;
1534 case mpc_c_c:
1535 assert (inputs[0].type == gtype_fp);
1536 assert (inputs[1].type == gtype_fp);
1537 outputs[0].type = gtype_fp;
1538 mpfr_init (outputs[0].value.f);
1539 outputs[1].type = gtype_fp;
1540 mpfr_init (outputs[1].value.f);
1541 mpc_init2 (ci1, internal_precision);
1542 mpc_init2 (co, internal_precision);
1543 assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
1544 MPC_RNDNN));
1545 mpc_ternary = calc->func.mpc_c_c (co, ci1, mode_mpc);
1546 if (mode != rm_towardzero)
1547 assert ((!MPC_INEX_RE (mpc_ternary)
1548 && mpfr_zero_p (mpc_realref (co)))
1549 || (!MPC_INEX_IM (mpc_ternary)
1550 && mpfr_zero_p (mpc_imagref (co))));
1551 assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co),
1552 MPFR_RNDN));
1553 assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co),
1554 MPFR_RNDN));
1555 adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary));
1556 adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary));
1557 mpc_clear (ci1);
1558 mpc_clear (co);
1559 break;
1561 case mpc_cc_c:
1562 assert (inputs[0].type == gtype_fp);
1563 assert (inputs[1].type == gtype_fp);
1564 assert (inputs[2].type == gtype_fp);
1565 assert (inputs[3].type == gtype_fp);
1566 outputs[0].type = gtype_fp;
1567 mpfr_init (outputs[0].value.f);
1568 outputs[1].type = gtype_fp;
1569 mpfr_init (outputs[1].value.f);
1570 mpc_init2 (ci1, internal_precision);
1571 mpc_init2 (ci2, internal_precision);
1572 mpc_init2 (co, internal_precision);
1573 assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
1574 MPC_RNDNN));
1575 assert_exact (mpc_set_fr_fr (ci2, inputs[2].value.f, inputs[3].value.f,
1576 MPC_RNDNN));
1577 mpc_ternary = calc->func.mpc_cc_c (co, ci1, ci2, mode_mpc);
1578 if (mode != rm_towardzero)
1579 assert ((!MPC_INEX_RE (mpc_ternary)
1580 && mpfr_zero_p (mpc_realref (co)))
1581 || (!MPC_INEX_IM (mpc_ternary)
1582 && mpfr_zero_p (mpc_imagref (co))));
1583 assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co),
1584 MPFR_RNDN));
1585 assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co),
1586 MPFR_RNDN));
1587 adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary));
1588 adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary));
1589 mpc_clear (ci1);
1590 mpc_clear (ci2);
1591 mpc_clear (co);
1592 break;
1594 default:
1595 abort ();
1599 /* Return the number of bits for integer type TYPE, where "long" has
1600 LONG_BITS bits (32 or 64). */
1602 static int
1603 int_type_bits (arg_ret_type type, int long_bits)
1605 assert (long_bits == 32 || long_bits == 64);
1606 switch (type)
1608 case type_int:
1609 return 32;
1610 break;
1612 case type_long:
1613 return long_bits;
1614 break;
1616 case type_long_long:
1617 return 64;
1618 break;
1620 default:
1621 abort ();
1625 /* Check whether an integer Z fits a given type TYPE, where "long" has
1626 LONG_BITS bits (32 or 64). */
1628 static bool
1629 int_fits_type (mpz_t z, arg_ret_type type, int long_bits)
1631 int bits = int_type_bits (type, long_bits);
1632 bool ret = true;
1633 mpz_t t;
1634 mpz_init (t);
1635 mpz_ui_pow_ui (t, 2, bits - 1);
1636 if (mpz_cmp (z, t) >= 0)
1637 ret = false;
1638 mpz_neg (t, t);
1639 if (mpz_cmp (z, t) < 0)
1640 ret = false;
1641 mpz_clear (t);
1642 return ret;
1645 /* Print a generic value V to FP (name FILENAME), preceded by a space,
1646 for type TYPE, floating-point format FORMAT, LONG_BITS bits per
1647 long, printing " IGNORE" instead if IGNORE. */
1649 static void
1650 output_generic_value (FILE *fp, const char *filename, const generic_value *v,
1651 bool ignore, arg_ret_type type, fp_format format,
1652 int long_bits)
1654 if (ignore)
1656 if (fputs (" IGNORE", fp) < 0)
1657 error (EXIT_FAILURE, errno, "write to '%s'", filename);
1658 return;
1660 assert (v->type == generic_arg_ret_type (type));
1661 const char *suffix;
1662 switch (type)
1664 case type_fp:
1665 suffix = fp_formats[format].suffix;
1666 break;
1668 case type_int:
1669 suffix = "";
1670 break;
1672 case type_long:
1673 suffix = "L";
1674 break;
1676 case type_long_long:
1677 suffix = "LL";
1678 break;
1680 default:
1681 abort ();
1683 switch (v->type)
1685 case gtype_fp:
1686 if (mpfr_inf_p (v->value.f))
1688 if (fputs ((mpfr_signbit (v->value.f)
1689 ? " minus_infty" : " plus_infty"), fp) < 0)
1690 error (EXIT_FAILURE, errno, "write to '%s'", filename);
1692 else
1694 assert (mpfr_number_p (v->value.f));
1695 if (mpfr_fprintf (fp, " %Ra%s", v->value.f, suffix) < 0)
1696 error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
1698 break;
1700 case gtype_int: ;
1701 int bits = int_type_bits (type, long_bits);
1702 mpz_t tmp;
1703 mpz_init (tmp);
1704 mpz_ui_pow_ui (tmp, 2, bits - 1);
1705 mpz_neg (tmp, tmp);
1706 if (mpz_cmp (v->value.i, tmp) == 0)
1708 mpz_add_ui (tmp, tmp, 1);
1709 if (mpfr_fprintf (fp, " (%Zd%s-1)", tmp, suffix) < 0)
1710 error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
1712 else
1714 if (mpfr_fprintf (fp, " %Zd%s", v->value.i, suffix) < 0)
1715 error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
1717 mpz_clear (tmp);
1718 break;
1720 default:
1721 abort ();
1725 /* Generate test output to FP (name FILENAME) for test function TF,
1726 input test IT, choice of input values INPUTS. */
1728 static void
1729 output_for_one_input_case (FILE *fp, const char *filename, test_function *tf,
1730 input_test *it, generic_value *inputs)
1732 bool long_bits_matters = false;
1733 bool fits_long32 = true;
1734 for (size_t i = 0; i < tf->num_args; i++)
1736 generic_value_type gtype = generic_arg_ret_type (tf->arg_types[i]);
1737 assert (inputs[i].type == gtype);
1738 if (gtype == gtype_int)
1740 bool fits_64 = int_fits_type (inputs[i].value.i, tf->arg_types[i],
1741 64);
1742 if (!fits_64)
1743 return;
1744 if (tf->arg_types[i] == type_long
1745 && !int_fits_type (inputs[i].value.i, tf->arg_types[i], 32))
1747 long_bits_matters = true;
1748 fits_long32 = false;
1752 generic_value generic_outputs[MAX_NRET];
1753 calc_generic_results (generic_outputs, inputs, &tf->calc, rm_towardzero);
1754 bool ignore_output_long32[MAX_NRET] = { false };
1755 bool ignore_output_long64[MAX_NRET] = { false };
1756 for (size_t i = 0; i < tf->num_ret; i++)
1758 assert (generic_outputs[i].type
1759 == generic_arg_ret_type (tf->ret_types[i]));
1760 switch (generic_outputs[i].type)
1762 case gtype_fp:
1763 if (!mpfr_number_p (generic_outputs[i].value.f))
1764 goto out; /* Result is NaN or exact infinity. */
1765 break;
1767 case gtype_int:
1768 ignore_output_long32[i] = !int_fits_type (generic_outputs[i].value.i,
1769 tf->ret_types[i], 32);
1770 ignore_output_long64[i] = !int_fits_type (generic_outputs[i].value.i,
1771 tf->ret_types[i], 64);
1772 if (ignore_output_long32[i] != ignore_output_long64[i])
1773 long_bits_matters = true;
1774 break;
1776 default:
1777 abort ();
1780 /* Iterate over relevant sizes of long and floating-point formats. */
1781 for (int long_bits = 32; long_bits <= 64; long_bits += 32)
1783 if (long_bits == 32 && !fits_long32)
1784 continue;
1785 if (long_bits == 64 && !long_bits_matters)
1786 continue;
1787 const char *long_cond;
1788 if (long_bits_matters)
1789 long_cond = (long_bits == 32 ? ":long32" : ":long64");
1790 else
1791 long_cond = "";
1792 bool *ignore_output = (long_bits == 32
1793 ? ignore_output_long32
1794 : ignore_output_long64);
1795 for (fp_format f = fp_first_format; f < fp_num_formats; f++)
1797 bool fits = true;
1798 mpfr_t res[rm_num_modes];
1799 unsigned int exc_before[rm_num_modes];
1800 unsigned int exc_after[rm_num_modes];
1801 for (size_t i = 0; i < tf->num_args; i++)
1803 if (inputs[i].type == gtype_fp)
1805 round_real (res, exc_before, exc_after, inputs[i].value.f,
1807 if (!mpfr_equal_p (res[rm_tonearest], inputs[i].value.f))
1808 fits = false;
1809 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
1810 mpfr_clear (res[m]);
1811 if (!fits)
1812 break;
1815 if (!fits)
1816 continue;
1817 /* The inputs fit this type, so compute the ideal outputs
1818 and exceptions. */
1819 mpfr_t all_res[MAX_NRET][rm_num_modes];
1820 unsigned int all_exc_before[MAX_NRET][rm_num_modes];
1821 unsigned int all_exc_after[MAX_NRET][rm_num_modes];
1822 unsigned int merged_exc_before[rm_num_modes] = { 0 };
1823 unsigned int merged_exc_after[rm_num_modes] = { 0 };
1824 /* For functions not exactly determined, track whether
1825 underflow is required (some result is inexact, and
1826 magnitude does not exceed the greatest magnitude
1827 subnormal), and permitted (not an exact zero, and
1828 magnitude does not exceed the least magnitude
1829 normal). */
1830 bool must_underflow = false;
1831 bool may_underflow = false;
1832 for (size_t i = 0; i < tf->num_ret; i++)
1834 switch (generic_outputs[i].type)
1836 case gtype_fp:
1837 round_real (all_res[i], all_exc_before[i], all_exc_after[i],
1838 generic_outputs[i].value.f, f);
1839 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
1841 merged_exc_before[m] |= all_exc_before[i][m];
1842 merged_exc_after[m] |= all_exc_after[i][m];
1843 if (!tf->exact)
1845 must_underflow
1846 |= ((all_exc_before[i][m]
1847 & (1U << exc_inexact)) != 0
1848 && (mpfr_cmpabs (generic_outputs[i].value.f,
1849 fp_formats[f].subnorm_max)
1850 <= 0));
1851 may_underflow
1852 |= (!mpfr_zero_p (generic_outputs[i].value.f)
1853 && (mpfr_cmpabs (generic_outputs[i].value.f,
1854 fp_formats[f].min_plus_half)
1855 <= 0));
1857 /* If the result is an exact zero, the sign may
1858 depend on the rounding mode, so recompute it
1859 directly in that mode. */
1860 if (mpfr_zero_p (all_res[i][m])
1861 && (all_exc_before[i][m] & (1U << exc_inexact)) == 0)
1863 generic_value outputs_rm[MAX_NRET];
1864 calc_generic_results (outputs_rm, inputs,
1865 &tf->calc, m);
1866 assert_exact (mpfr_set (all_res[i][m],
1867 outputs_rm[i].value.f,
1868 MPFR_RNDN));
1869 for (size_t j = 0; j < tf->num_ret; j++)
1870 generic_value_free (&outputs_rm[j]);
1873 break;
1875 case gtype_int:
1876 if (ignore_output[i])
1877 for (rounding_mode m = rm_first_mode;
1878 m < rm_num_modes;
1879 m++)
1881 merged_exc_before[m] |= 1U << exc_invalid;
1882 merged_exc_after[m] |= 1U << exc_invalid;
1884 break;
1886 default:
1887 abort ();
1890 assert (may_underflow || !must_underflow);
1891 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
1893 bool before_after_matters
1894 = tf->exact && merged_exc_before[m] != merged_exc_after[m];
1895 if (before_after_matters)
1897 assert ((merged_exc_before[m] ^ merged_exc_after[m])
1898 == (1U << exc_underflow));
1899 assert ((merged_exc_before[m] & (1U << exc_underflow)) != 0);
1901 unsigned int merged_exc = merged_exc_before[m];
1902 if (fprintf (fp, "= %s %s %s%s", tf->name,
1903 rounding_modes[m].name, fp_formats[f].name,
1904 long_cond) < 0)
1905 error (EXIT_FAILURE, errno, "write to '%s'", filename);
1906 /* Print inputs. */
1907 for (size_t i = 0; i < tf->num_args; i++)
1908 output_generic_value (fp, filename, &inputs[i], false,
1909 tf->arg_types[i], f, long_bits);
1910 if (fputs (" :", fp) < 0)
1911 error (EXIT_FAILURE, errno, "write to '%s'", filename);
1912 /* Print outputs. */
1913 bool must_erange = false;
1914 for (size_t i = 0; i < tf->num_ret; i++)
1916 generic_value g;
1917 g.type = generic_outputs[i].type;
1918 switch (g.type)
1920 case gtype_fp:
1921 if (mpfr_inf_p (all_res[i][m])
1922 && (all_exc_before[i][m]
1923 & (1U << exc_overflow)) != 0)
1924 must_erange = true;
1925 if (mpfr_zero_p (all_res[i][m])
1926 && (tf->exact
1927 || mpfr_zero_p (all_res[i][rm_tonearest]))
1928 && (all_exc_before[i][m]
1929 & (1U << exc_underflow)) != 0)
1930 must_erange = true;
1931 mpfr_init2 (g.value.f, fp_formats[f].mant_dig);
1932 assert_exact (mpfr_set (g.value.f, all_res[i][m],
1933 MPFR_RNDN));
1934 break;
1936 case gtype_int:
1937 mpz_init (g.value.i);
1938 mpz_set (g.value.i, generic_outputs[i].value.i);
1939 break;
1941 default:
1942 abort ();
1944 output_generic_value (fp, filename, &g, ignore_output[i],
1945 tf->ret_types[i], f, long_bits);
1946 generic_value_free (&g);
1948 if (fputs (" :", fp) < 0)
1949 error (EXIT_FAILURE, errno, "write to '%s'", filename);
1950 /* Print miscellaneous flags (passed through from
1951 input). */
1952 for (size_t i = 0; i < it->num_flags; i++)
1953 switch (it->flags[i].type)
1955 case flag_no_test_inline:
1956 case flag_ignore_zero_inf_sign:
1957 case flag_xfail:
1958 if (fprintf (fp, " %s%s",
1959 input_flags[it->flags[i].type],
1960 (it->flags[i].cond
1961 ? it->flags[i].cond
1962 : "")) < 0)
1963 error (EXIT_FAILURE, errno, "write to '%s'",
1964 filename);
1965 break;
1966 case flag_xfail_rounding:
1967 if (m != rm_tonearest)
1968 if (fprintf (fp, " xfail%s",
1969 (it->flags[i].cond
1970 ? it->flags[i].cond
1971 : "")) < 0)
1972 error (EXIT_FAILURE, errno, "write to '%s'",
1973 filename);
1974 break;
1975 default:
1976 break;
1978 /* Print exception flags and compute errno
1979 expectations where not already computed. */
1980 bool may_edom = false;
1981 bool must_edom = false;
1982 bool may_erange = must_erange || may_underflow;
1983 for (fp_exception e = exc_first_exception;
1984 e < exc_num_exceptions;
1985 e++)
1987 bool expect_e = (merged_exc & (1U << e)) != 0;
1988 bool e_optional = false;
1989 switch (e)
1991 case exc_divbyzero:
1992 if (expect_e)
1993 may_erange = must_erange = true;
1994 break;
1996 case exc_inexact:
1997 if (!tf->exact)
1998 e_optional = true;
1999 break;
2001 case exc_invalid:
2002 if (expect_e)
2003 may_edom = must_edom = true;
2004 break;
2006 case exc_overflow:
2007 if (expect_e)
2008 may_erange = true;
2009 break;
2011 case exc_underflow:
2012 if (expect_e)
2013 may_erange = true;
2014 if (must_underflow)
2015 assert (expect_e);
2016 if (may_underflow && !must_underflow)
2017 e_optional = true;
2018 break;
2020 default:
2021 abort ();
2023 if (e_optional)
2025 assert (!before_after_matters);
2026 if (fprintf (fp, " %s-ok", exceptions[e]) < 0)
2027 error (EXIT_FAILURE, errno, "write to '%s'",
2028 filename);
2030 else
2032 if (expect_e)
2033 if (fprintf (fp, " %s", exceptions[e]) < 0)
2034 error (EXIT_FAILURE, errno, "write to '%s'",
2035 filename);
2036 if (before_after_matters && e == exc_underflow)
2037 if (fputs (":before-rounding", fp) < 0)
2038 error (EXIT_FAILURE, errno, "write to '%s'",
2039 filename);
2040 for (int after = 0; after <= 1; after++)
2042 bool expect_e_here = expect_e;
2043 if (after == 1 && (!before_after_matters
2044 || e != exc_underflow))
2045 continue;
2046 const char *after_cond;
2047 if (before_after_matters && e == exc_underflow)
2049 after_cond = (after
2050 ? ":after-rounding"
2051 : ":before-rounding");
2052 expect_e_here = !after;
2054 else
2055 after_cond = "";
2056 input_flag_type okflag;
2057 okflag = (expect_e_here
2058 ? flag_missing_first
2059 : flag_spurious_first) + e;
2060 for (size_t i = 0; i < it->num_flags; i++)
2061 if (it->flags[i].type == okflag)
2062 if (fprintf (fp, " %s-ok%s%s",
2063 exceptions[e],
2064 (it->flags[i].cond
2065 ? it->flags[i].cond
2066 : ""), after_cond) < 0)
2067 error (EXIT_FAILURE, errno, "write to '%s'",
2068 filename);
2072 /* Print errno expectations. */
2073 if (tf->complex_fn)
2075 must_edom = false;
2076 must_erange = false;
2078 if (may_edom && !must_edom)
2080 if (fputs (" errno-edom-ok", fp) < 0)
2081 error (EXIT_FAILURE, errno, "write to '%s'",
2082 filename);
2084 else
2086 if (must_edom)
2087 if (fputs (" errno-edom", fp) < 0)
2088 error (EXIT_FAILURE, errno, "write to '%s'",
2089 filename);
2090 input_flag_type okflag = (must_edom
2091 ? flag_missing_errno
2092 : flag_spurious_errno);
2093 for (size_t i = 0; i < it->num_flags; i++)
2094 if (it->flags[i].type == okflag)
2095 if (fprintf (fp, " errno-edom-ok%s",
2096 (it->flags[i].cond
2097 ? it->flags[i].cond
2098 : "")) < 0)
2099 error (EXIT_FAILURE, errno, "write to '%s'",
2100 filename);
2102 if (before_after_matters)
2103 assert (may_erange && !must_erange);
2104 if (may_erange && !must_erange)
2106 if (fprintf (fp, " errno-erange-ok%s",
2107 (before_after_matters
2108 ? ":before-rounding"
2109 : "")) < 0)
2110 error (EXIT_FAILURE, errno, "write to '%s'",
2111 filename);
2113 if (before_after_matters || !(may_erange && !must_erange))
2115 if (must_erange)
2116 if (fputs (" errno-erange", fp) < 0)
2117 error (EXIT_FAILURE, errno, "write to '%s'",
2118 filename);
2119 input_flag_type okflag = (must_erange
2120 ? flag_missing_errno
2121 : flag_spurious_errno);
2122 for (size_t i = 0; i < it->num_flags; i++)
2123 if (it->flags[i].type == okflag)
2124 if (fprintf (fp, " errno-erange-ok%s%s",
2125 (it->flags[i].cond
2126 ? it->flags[i].cond
2127 : ""),
2128 (before_after_matters
2129 ? ":after-rounding"
2130 : "")) < 0)
2131 error (EXIT_FAILURE, errno, "write to '%s'",
2132 filename);
2134 if (putc ('\n', fp) < 0)
2135 error (EXIT_FAILURE, errno, "write to '%s'", filename);
2137 for (size_t i = 0; i < tf->num_ret; i++)
2139 if (generic_outputs[i].type == gtype_fp)
2140 for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
2141 mpfr_clear (all_res[i][m]);
2145 out:
2146 for (size_t i = 0; i < tf->num_ret; i++)
2147 generic_value_free (&generic_outputs[i]);
2150 /* Generate test output data to FILENAME. */
2152 static void
2153 generate_output (const char *filename)
2155 FILE *fp = fopen (filename, "w");
2156 if (fp == NULL)
2157 error (EXIT_FAILURE, errno, "open '%s'", filename);
2158 for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++)
2160 test_function *tf = &test_functions[i];
2161 for (size_t j = 0; j < tf->num_tests; j++)
2163 input_test *it = &tf->tests[j];
2164 if (fputs (it->line, fp) < 0)
2165 error (EXIT_FAILURE, errno, "write to '%s'", filename);
2166 for (size_t k = 0; k < it->num_input_cases; k++)
2167 output_for_one_input_case (fp, filename, tf, it, it->inputs[k]);
2170 if (fclose (fp) != 0)
2171 error (EXIT_FAILURE, errno, "close '%s'", filename);
2175 main (int argc, char **argv)
2177 if (argc != 3)
2178 error (EXIT_FAILURE, 0, "usage: gen-auto-libm-tests <input> <output>");
2179 const char *input_filename = argv[1];
2180 const char *output_filename = argv[2];
2181 init_fp_formats ();
2182 read_input (input_filename);
2183 generate_output (output_filename);
2184 exit (EXIT_SUCCESS);