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ffb536d0 | 1 | /* Generate expected output for libm tests with MPFR and MPC. |
688903eb | 2 | Copyright (C) 2013-2018 Free Software Foundation, Inc. |
ffb536d0 JM |
3 | This file is part of the GNU C Library. |
4 | ||
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. | |
9 | ||
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. | |
14 | ||
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/>. */ | |
18 | ||
19 | /* Compile this program as: | |
20 | ||
783dd2d3 | 21 | gcc -std=gnu11 -O2 -Wall -Wextra gen-auto-libm-tests.c -lmpc -lmpfr -lgmp \ |
ffb536d0 JM |
22 | -o gen-auto-libm-tests |
23 | ||
24 | (use of current MPC and MPFR versions recommended) and run it as: | |
25 | ||
4f1bc131 | 26 | gen-auto-libm-tests auto-libm-test-in <func> auto-libm-test-out-<func> |
ffb536d0 | 27 | |
8e554659 JM |
28 | to generate results for normal libm functions, or |
29 | ||
30 | gen-auto-libm-tests --narrow auto-libm-test-in <func> \ | |
31 | auto-libm-test-out-narrow-<func> | |
32 | ||
33 | to generate results for a function rounding results to a narrower | |
34 | type (in the case of fma and sqrt, both output files are generated | |
35 | from the same test inputs). | |
36 | ||
ffb536d0 JM |
37 | The input file auto-libm-test-in contains three kinds of lines: |
38 | ||
39 | Lines beginning with "#" are comments, and are ignored, as are | |
40 | empty lines. | |
41 | ||
42 | Other lines are test lines, of the form "function input1 input2 | |
43 | ... [flag1 flag2 ...]". Inputs are either finite real numbers or | |
44 | integers, depending on the function under test. Real numbers may | |
45 | be in any form acceptable to mpfr_strtofr (base 0); integers in any | |
46 | form acceptable to mpz_set_str (base 0). In addition, real numbers | |
47 | may be certain special strings such as "pi", as listed in the | |
48 | special_real_inputs array. | |
49 | ||
50 | Each flag is a flag name possibly followed by a series of | |
51 | ":condition". Conditions may be any of the names of floating-point | |
52 | formats in the floating_point_formats array, "long32" and "long64" | |
53 | to indicate the number of bits in the "long" type, or other strings | |
54 | for which libm-test.inc defines a TEST_COND_<condition> macro (with | |
55 | "-"- changed to "_" in the condition name) evaluating to nonzero | |
56 | when the condition is true and zero when the condition is false. | |
57 | The meaning is that the flag applies to the test if all the listed | |
58 | conditions are true. "flag:cond1:cond2 flag:cond3:cond4" means the | |
59 | flag applies if ((cond1 && cond2) || (cond3 && cond4)). | |
60 | ||
61 | A real number specified as an input is considered to represent the | |
62 | set of real numbers arising from rounding the given number in any | |
63 | direction for any supported floating-point format; any roundings | |
64 | that give infinity are ignored. Each input on a test line has all | |
65 | the possible roundings considered independently. Each resulting | |
66 | choice of the tuple of inputs to the function is ignored if the | |
67 | mathematical result of the function involves a NaN or an exact | |
68 | infinity, and is otherwise considered for each floating-point | |
69 | format for which all those inputs are exactly representable. Thus | |
70 | tests may result in "overflow", "underflow" and "inexact" | |
71 | exceptions; "invalid" may arise only when the final result type is | |
72 | an integer type and it is the conversion of a mathematically | |
73 | defined finite result to integer type that results in that | |
74 | exception. | |
75 | ||
76 | By default, it is assumed that "overflow" and "underflow" | |
77 | exceptions should be correct, but that "inexact" exceptions should | |
78 | only be correct for functions listed as exactly determined. For | |
79 | such functions, "underflow" exceptions should respect whether the | |
80 | machine has before-rounding or after-rounding tininess detection. | |
81 | For other functions, it is considered that if the exact result is | |
82 | somewhere between the greatest magnitude subnormal of a given sign | |
83 | (exclusive) and the least magnitude normal of that sign | |
84 | (inclusive), underflow exceptions are permitted but optional on all | |
85 | machines, and they are also permitted but optional for smaller | |
86 | subnormal exact results for functions that are not exactly | |
87 | determined. errno setting is expected for overflow to infinity and | |
88 | underflow to zero (for real functions), and for out-of-range | |
89 | conversion of a finite result to integer type, and is considered | |
90 | permitted but optional for all other cases where overflow | |
91 | exceptions occur, and where underflow exceptions occur or are | |
92 | permitted. In other cases (where no overflow or underflow is | |
93 | permitted), errno is expected to be left unchanged. | |
94 | ||
95 | The flag "no-test-inline" indicates a test is disabled for inline | |
863893ec JM |
96 | function testing; "ignore-zero-inf-sign" indicates the the signs of |
97 | zero and infinite results should be ignored; "xfail" indicates the | |
98 | test is disabled as expected to produce incorrect results, | |
99 | "xfail-rounding" indicates the test is disabled only in rounding | |
100 | modes other than round-to-nearest. Otherwise, test flags are of | |
101 | the form "spurious-<exception>" and "missing-<exception>", for any | |
102 | exception ("overflow", "underflow", "inexact", "invalid", | |
103 | "divbyzero"), "spurious-errno" and "missing-errno", to indicate | |
104 | when tests are expected to deviate from the exception and errno | |
105 | settings corresponding to the mathematical results. "xfail", | |
d8e2dbe3 JM |
106 | "xfail-rounding", "spurious-" and "missing-" flags should be |
107 | accompanied by a comment referring to an open bug in glibc | |
108 | Bugzilla. | |
ffb536d0 | 109 | |
4f1bc131 | 110 | The output file auto-libm-test-out-<func> contains the test lines from |
ffb536d0 JM |
111 | auto-libm-test-in, and, after the line for a given test, some |
112 | number of output test lines. An output test line is of the form "= | |
113 | function rounding-mode format input1 input2 ... : output1 output2 | |
114 | ... : flags". rounding-mode is "tonearest", "towardzero", "upward" | |
115 | or "downward". format is a name from the floating_point_formats | |
116 | array, possibly followed by a sequence of ":flag" for flags from | |
aa97dee1 JM |
117 | "long32" and "long64". Inputs and outputs are specified as hex |
118 | floats with the required suffix for the floating-point type, or | |
119 | plus_infty or minus_infty for infinite expected results, or as | |
120 | integer constant expressions (not necessarily with the right type) | |
121 | or IGNORE for integer inputs and outputs. Flags are | |
863893ec JM |
122 | "no-test-inline", "ignore-zero-info-sign", "xfail", "<exception>", |
123 | "<exception>-ok", "errno-<value>", "errno-<value>-ok", which may be | |
124 | unconditional or conditional. "<exception>" indicates that a | |
125 | correct result means the given exception should be raised. | |
126 | "errno-<value>" indicates that a correct result means errno should | |
127 | be set to the given value. "-ok" means not to test for the given | |
128 | exception or errno value (whether because it was marked as possibly | |
129 | missing or spurious, or because the calculation of correct results | |
130 | indicated it was optional). Conditions "before-rounding" and | |
131 | "after-rounding" indicate tests where expectations for underflow | |
8e554659 JM |
132 | exceptions depend on how the architecture detects tininess. |
133 | ||
134 | For functions rounding their results to a narrower type, the format | |
135 | given on an output test line is the result format followed by | |
136 | information about the requirements on the argument format to be | |
137 | able to represent the argument values, in the form | |
138 | "format:arg_fmt(MAX_EXP,NUM_ONES,MIN_EXP,MAX_PREC)". Instead of | |
139 | separate lines for separate argument formats, an output test line | |
140 | relates to all argument formats that can represent the values. | |
141 | MAX_EXP is the maximum exponent of a nonzero bit in any argument, | |
142 | or 0 if all arguments are zero; NUM_ONES is the maximum number of | |
143 | leading bits with value 1 in an argument with exponent MAX_EXP, or | |
144 | 0 if all arguments are zero; MIN_EXP is the minimum exponent of a | |
145 | nonzero bit in any argument, or 0 if all arguments are zero; | |
146 | MAX_PREC is the maximum precision required to represent all | |
147 | arguments, or 0 if all arguments are zero. */ | |
ffb536d0 JM |
148 | |
149 | #define _GNU_SOURCE | |
150 | ||
151 | #include <assert.h> | |
152 | #include <ctype.h> | |
153 | #include <errno.h> | |
154 | #include <error.h> | |
155 | #include <stdbool.h> | |
156 | #include <stdint.h> | |
157 | #include <stdio.h> | |
158 | #include <stdlib.h> | |
159 | #include <string.h> | |
160 | ||
161 | #include <gmp.h> | |
162 | #include <mpfr.h> | |
163 | #include <mpc.h> | |
164 | ||
165 | #define ARRAY_SIZE(A) (sizeof (A) / sizeof ((A)[0])) | |
166 | ||
167 | /* The supported floating-point formats. */ | |
168 | typedef enum | |
169 | { | |
170 | fp_flt_32, | |
171 | fp_dbl_64, | |
172 | fp_ldbl_96_intel, | |
173 | fp_ldbl_96_m68k, | |
174 | fp_ldbl_128, | |
175 | fp_ldbl_128ibm, | |
176 | fp_num_formats, | |
177 | fp_first_format = 0 | |
178 | } fp_format; | |
179 | ||
180 | /* Structure describing a single floating-point format. */ | |
181 | typedef struct | |
182 | { | |
183 | /* The name of the format. */ | |
184 | const char *name; | |
ffb536d0 JM |
185 | /* A string for the largest normal value, or NULL for IEEE formats |
186 | where this can be determined automatically. */ | |
187 | const char *max_string; | |
188 | /* The number of mantissa bits. */ | |
189 | int mant_dig; | |
190 | /* The least N such that 2^N overflows. */ | |
191 | int max_exp; | |
192 | /* One more than the least N such that 2^N is normal. */ | |
193 | int min_exp; | |
194 | /* The largest normal value. */ | |
195 | mpfr_t max; | |
046651c1 JM |
196 | /* The value 0.5ulp above the least positive normal value. */ |
197 | mpfr_t min_plus_half; | |
ffb536d0 JM |
198 | /* The least positive normal value, 2^(MIN_EXP-1). */ |
199 | mpfr_t min; | |
200 | /* The greatest positive subnormal value. */ | |
201 | mpfr_t subnorm_max; | |
202 | /* The least positive subnormal value, 2^(MIN_EXP-MANT_DIG). */ | |
203 | mpfr_t subnorm_min; | |
204 | } fp_format_desc; | |
205 | ||
206 | /* List of floating-point formats, in the same order as the fp_format | |
207 | enumeration. */ | |
208 | static fp_format_desc fp_formats[fp_num_formats] = | |
209 | { | |
5188b973 PM |
210 | { "binary32", NULL, 24, 128, -125, {}, {}, {}, {}, {} }, |
211 | { "binary64", NULL, 53, 1024, -1021, {}, {}, {}, {}, {} }, | |
212 | { "intel96", NULL, 64, 16384, -16381, {}, {}, {}, {}, {} }, | |
213 | { "m68k96", NULL, 64, 16384, -16382, {}, {}, {}, {}, {} }, | |
214 | { "binary128", NULL, 113, 16384, -16381, {}, {}, {}, {}, {} }, | |
215 | { "ibm128", "0x1.fffffffffffff7ffffffffffff8p+1023", | |
046651c1 | 216 | 106, 1024, -968, {}, {}, {}, {}, {} }, |
ffb536d0 JM |
217 | }; |
218 | ||
219 | /* The supported rounding modes. */ | |
220 | typedef enum | |
221 | { | |
222 | rm_downward, | |
223 | rm_tonearest, | |
224 | rm_towardzero, | |
225 | rm_upward, | |
226 | rm_num_modes, | |
227 | rm_first_mode = 0 | |
228 | } rounding_mode; | |
229 | ||
230 | /* Structure describing a single rounding mode. */ | |
231 | typedef struct | |
232 | { | |
233 | /* The name of the rounding mode. */ | |
234 | const char *name; | |
235 | /* The MPFR rounding mode. */ | |
236 | mpfr_rnd_t mpfr_mode; | |
c6af2d89 JM |
237 | /* The MPC rounding mode. */ |
238 | mpc_rnd_t mpc_mode; | |
ffb536d0 JM |
239 | } rounding_mode_desc; |
240 | ||
241 | /* List of rounding modes, in the same order as the rounding_mode | |
242 | enumeration. */ | |
243 | static const rounding_mode_desc rounding_modes[rm_num_modes] = | |
244 | { | |
c6af2d89 JM |
245 | { "downward", MPFR_RNDD, MPC_RNDDD }, |
246 | { "tonearest", MPFR_RNDN, MPC_RNDNN }, | |
247 | { "towardzero", MPFR_RNDZ, MPC_RNDZZ }, | |
248 | { "upward", MPFR_RNDU, MPC_RNDUU }, | |
ffb536d0 JM |
249 | }; |
250 | ||
251 | /* The supported exceptions. */ | |
252 | typedef enum | |
253 | { | |
254 | exc_divbyzero, | |
255 | exc_inexact, | |
256 | exc_invalid, | |
257 | exc_overflow, | |
258 | exc_underflow, | |
259 | exc_num_exceptions, | |
260 | exc_first_exception = 0 | |
261 | } fp_exception; | |
262 | ||
263 | /* List of exceptions, in the same order as the fp_exception | |
264 | enumeration. */ | |
265 | static const char *const exceptions[exc_num_exceptions] = | |
266 | { | |
267 | "divbyzero", | |
268 | "inexact", | |
269 | "invalid", | |
270 | "overflow", | |
271 | "underflow", | |
272 | }; | |
273 | ||
274 | /* The internal precision to use for most MPFR calculations, which | |
275 | must be at least 2 more than the greatest precision of any | |
276 | supported floating-point format. */ | |
277 | static int internal_precision; | |
278 | ||
279 | /* A value that overflows all supported floating-point formats. */ | |
280 | static mpfr_t global_max; | |
281 | ||
282 | /* A value that is at most half the least subnormal in any | |
283 | floating-point format and so is rounded the same way as all | |
284 | sufficiently small positive values. */ | |
285 | static mpfr_t global_min; | |
286 | ||
287 | /* The maximum number of (real or integer) arguments to a function | |
288 | handled by this program (complex arguments count as two real | |
289 | arguments). */ | |
290 | #define MAX_NARGS 4 | |
291 | ||
292 | /* The maximum number of (real or integer) return values from a | |
293 | function handled by this program. */ | |
294 | #define MAX_NRET 2 | |
295 | ||
296 | /* A type of a function argument or return value. */ | |
297 | typedef enum | |
298 | { | |
299 | /* No type (not a valid argument or return value). */ | |
300 | type_none, | |
301 | /* A floating-point value with the type corresponding to that of | |
302 | the function. */ | |
303 | type_fp, | |
304 | /* An integer value of type int. */ | |
305 | type_int, | |
306 | /* An integer value of type long. */ | |
307 | type_long, | |
308 | /* An integer value of type long long. */ | |
309 | type_long_long, | |
310 | } arg_ret_type; | |
311 | ||
312 | /* A type of a generic real or integer value. */ | |
313 | typedef enum | |
314 | { | |
315 | /* No type. */ | |
316 | gtype_none, | |
317 | /* Floating-point (represented with MPFR). */ | |
318 | gtype_fp, | |
319 | /* Integer (represented with GMP). */ | |
320 | gtype_int, | |
321 | } generic_value_type; | |
322 | ||
323 | /* A generic value (argument or result). */ | |
324 | typedef struct | |
325 | { | |
326 | /* The type of this value. */ | |
327 | generic_value_type type; | |
328 | /* Its value. */ | |
329 | union | |
330 | { | |
331 | mpfr_t f; | |
332 | mpz_t i; | |
333 | } value; | |
334 | } generic_value; | |
335 | ||
336 | /* A type of input flag. */ | |
337 | typedef enum | |
338 | { | |
339 | flag_no_test_inline, | |
863893ec | 340 | flag_ignore_zero_inf_sign, |
ffb536d0 | 341 | flag_xfail, |
d8e2dbe3 | 342 | flag_xfail_rounding, |
ffb536d0 JM |
343 | /* The "spurious" and "missing" flags must be in the same order as |
344 | the fp_exception enumeration. */ | |
345 | flag_spurious_divbyzero, | |
346 | flag_spurious_inexact, | |
347 | flag_spurious_invalid, | |
348 | flag_spurious_overflow, | |
349 | flag_spurious_underflow, | |
350 | flag_spurious_errno, | |
351 | flag_missing_divbyzero, | |
352 | flag_missing_inexact, | |
353 | flag_missing_invalid, | |
354 | flag_missing_overflow, | |
355 | flag_missing_underflow, | |
356 | flag_missing_errno, | |
357 | num_input_flag_types, | |
358 | flag_first_flag = 0, | |
359 | flag_spurious_first = flag_spurious_divbyzero, | |
360 | flag_missing_first = flag_missing_divbyzero | |
361 | } input_flag_type; | |
362 | ||
363 | /* List of flags, in the same order as the input_flag_type | |
364 | enumeration. */ | |
365 | static const char *const input_flags[num_input_flag_types] = | |
366 | { | |
367 | "no-test-inline", | |
863893ec | 368 | "ignore-zero-inf-sign", |
ffb536d0 | 369 | "xfail", |
d8e2dbe3 | 370 | "xfail-rounding", |
ffb536d0 JM |
371 | "spurious-divbyzero", |
372 | "spurious-inexact", | |
373 | "spurious-invalid", | |
374 | "spurious-overflow", | |
375 | "spurious-underflow", | |
376 | "spurious-errno", | |
377 | "missing-divbyzero", | |
378 | "missing-inexact", | |
379 | "missing-invalid", | |
380 | "missing-overflow", | |
381 | "missing-underflow", | |
382 | "missing-errno", | |
383 | }; | |
384 | ||
385 | /* An input flag, possibly conditional. */ | |
386 | typedef struct | |
387 | { | |
388 | /* The type of this flag. */ | |
389 | input_flag_type type; | |
390 | /* The conditions on this flag, as a string ":cond1:cond2..." or | |
391 | NULL. */ | |
392 | const char *cond; | |
393 | } input_flag; | |
394 | ||
395 | /* Structure describing a single test from the input file (which may | |
396 | expand into many tests in the output). The choice of function, | |
397 | which implies the numbers and types of arguments and results, is | |
398 | implicit rather than stored in this structure (except as part of | |
399 | the source line). */ | |
400 | typedef struct | |
401 | { | |
402 | /* The text of the input line describing the test, including the | |
403 | trailing newline. */ | |
404 | const char *line; | |
405 | /* The number of combinations of interpretations of input values for | |
406 | different floating-point formats and rounding modes. */ | |
407 | size_t num_input_cases; | |
408 | /* The corresponding lists of inputs. */ | |
409 | generic_value **inputs; | |
410 | /* The number of flags for this test. */ | |
411 | size_t num_flags; | |
412 | /* The corresponding list of flags. */ | |
413 | input_flag *flags; | |
414 | /* The old output for this test. */ | |
415 | const char *old_output; | |
416 | } input_test; | |
417 | ||
418 | /* Ways to calculate a function. */ | |
419 | typedef enum | |
420 | { | |
421 | /* MPFR function with a single argument and result. */ | |
422 | mpfr_f_f, | |
ff362e5b JM |
423 | /* MPFR function with two arguments and one result. */ |
424 | mpfr_ff_f, | |
c6af2d89 JM |
425 | /* MPFR function with three arguments and one result. */ |
426 | mpfr_fff_f, | |
9f0be4f8 JM |
427 | /* MPFR function with a single argument and floating-point and |
428 | integer results. */ | |
429 | mpfr_f_f1, | |
f889953b JM |
430 | /* MPFR function with integer and floating-point arguments and one |
431 | result. */ | |
432 | mpfr_if_f, | |
6f6fc482 JM |
433 | /* MPFR function with a single argument and two floating-point |
434 | results. */ | |
435 | mpfr_f_11, | |
64a17f1a JM |
436 | /* MPC function with a single complex argument and one real |
437 | result. */ | |
438 | mpc_c_f, | |
7fda5682 JM |
439 | /* MPC function with a single complex argument and one complex |
440 | result. */ | |
441 | mpc_c_c, | |
b7867a3b JM |
442 | /* MPC function with two complex arguments and one complex |
443 | result. */ | |
444 | mpc_cc_c, | |
ffb536d0 JM |
445 | } func_calc_method; |
446 | ||
447 | /* Description of how to calculate a function. */ | |
448 | typedef struct | |
449 | { | |
450 | /* Which method is used to calculate the function. */ | |
451 | func_calc_method method; | |
452 | /* The specific function called. */ | |
453 | union | |
454 | { | |
455 | int (*mpfr_f_f) (mpfr_t, const mpfr_t, mpfr_rnd_t); | |
ff362e5b | 456 | int (*mpfr_ff_f) (mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t); |
c6af2d89 JM |
457 | int (*mpfr_fff_f) (mpfr_t, const mpfr_t, const mpfr_t, const mpfr_t, |
458 | mpfr_rnd_t); | |
9f0be4f8 | 459 | int (*mpfr_f_f1) (mpfr_t, int *, const mpfr_t, mpfr_rnd_t); |
f889953b | 460 | int (*mpfr_if_f) (mpfr_t, long, const mpfr_t, mpfr_rnd_t); |
6f6fc482 | 461 | int (*mpfr_f_11) (mpfr_t, mpfr_t, const mpfr_t, mpfr_rnd_t); |
64a17f1a | 462 | int (*mpc_c_f) (mpfr_t, const mpc_t, mpfr_rnd_t); |
7fda5682 | 463 | int (*mpc_c_c) (mpc_t, const mpc_t, mpc_rnd_t); |
b7867a3b | 464 | int (*mpc_cc_c) (mpc_t, const mpc_t, const mpc_t, mpc_rnd_t); |
ffb536d0 JM |
465 | } func; |
466 | } func_calc_desc; | |
467 | ||
468 | /* Structure describing a function handled by this program. */ | |
469 | typedef struct | |
470 | { | |
471 | /* The name of the function. */ | |
472 | const char *name; | |
473 | /* The number of arguments. */ | |
474 | size_t num_args; | |
475 | /* The types of the arguments. */ | |
476 | arg_ret_type arg_types[MAX_NARGS]; | |
477 | /* The number of return values. */ | |
478 | size_t num_ret; | |
479 | /* The types of the return values. */ | |
480 | arg_ret_type ret_types[MAX_NRET]; | |
481 | /* Whether the function has exactly determined results and | |
482 | exceptions. */ | |
483 | bool exact; | |
484 | /* Whether the function is a complex function, so errno setting is | |
485 | optional. */ | |
486 | bool complex_fn; | |
c6af2d89 JM |
487 | /* Whether to treat arguments given as floating-point constants as |
488 | exact only, rather than rounding them up and down to all | |
489 | formats. */ | |
490 | bool exact_args; | |
ffb536d0 JM |
491 | /* How to calculate this function. */ |
492 | func_calc_desc calc; | |
493 | /* The number of tests allocated for this function. */ | |
494 | size_t num_tests_alloc; | |
495 | /* The number of tests for this function. */ | |
496 | size_t num_tests; | |
497 | /* The tests themselves. */ | |
498 | input_test *tests; | |
499 | } test_function; | |
500 | ||
9f0be4f8 JM |
501 | #define ARGS1(T1) 1, { T1 } |
502 | #define ARGS2(T1, T2) 2, { T1, T2 } | |
503 | #define ARGS3(T1, T2, T3) 3, { T1, T2, T3 } | |
504 | #define ARGS4(T1, T2, T3, T4) 4, { T1, T2, T3, T4 } | |
505 | #define RET1(T1) 1, { T1 } | |
506 | #define RET2(T1, T2) 2, { T1, T2 } | |
507 | #define CALC(TYPE, FN) { TYPE, { .TYPE = FN } } | |
c6af2d89 JM |
508 | #define FUNC(NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC) \ |
509 | { \ | |
510 | NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC, 0, 0, NULL \ | |
ffb536d0 JM |
511 | } |
512 | ||
c6af2d89 JM |
513 | #define FUNC_mpfr_f_f(NAME, MPFR_FUNC, EXACT) \ |
514 | FUNC (NAME, ARGS1 (type_fp), RET1 (type_fp), EXACT, false, false, \ | |
9f0be4f8 | 515 | CALC (mpfr_f_f, MPFR_FUNC)) |
ff362e5b JM |
516 | #define FUNC_mpfr_ff_f(NAME, MPFR_FUNC, EXACT) \ |
517 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, false, \ | |
c6af2d89 | 518 | false, CALC (mpfr_ff_f, MPFR_FUNC)) |
f889953b JM |
519 | #define FUNC_mpfr_if_f(NAME, MPFR_FUNC, EXACT) \ |
520 | FUNC (NAME, ARGS2 (type_int, type_fp), RET1 (type_fp), EXACT, false, \ | |
c6af2d89 | 521 | false, CALC (mpfr_if_f, MPFR_FUNC)) |
64a17f1a JM |
522 | #define FUNC_mpc_c_f(NAME, MPFR_FUNC, EXACT) \ |
523 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, true, \ | |
c6af2d89 | 524 | false, CALC (mpc_c_f, MPFR_FUNC)) |
7fda5682 JM |
525 | #define FUNC_mpc_c_c(NAME, MPFR_FUNC, EXACT) \ |
526 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET2 (type_fp, type_fp), EXACT, \ | |
c6af2d89 | 527 | true, false, CALC (mpc_c_c, MPFR_FUNC)) |
9f0be4f8 | 528 | |
ffb536d0 JM |
529 | /* List of functions handled by this program. */ |
530 | static test_function test_functions[] = | |
531 | { | |
176b0c79 JM |
532 | FUNC_mpfr_f_f ("acos", mpfr_acos, false), |
533 | FUNC_mpfr_f_f ("acosh", mpfr_acosh, false), | |
d8742dd8 | 534 | FUNC_mpfr_ff_f ("add", mpfr_add, true), |
176b0c79 JM |
535 | FUNC_mpfr_f_f ("asin", mpfr_asin, false), |
536 | FUNC_mpfr_f_f ("asinh", mpfr_asinh, false), | |
537 | FUNC_mpfr_f_f ("atan", mpfr_atan, false), | |
ff362e5b | 538 | FUNC_mpfr_ff_f ("atan2", mpfr_atan2, false), |
176b0c79 | 539 | FUNC_mpfr_f_f ("atanh", mpfr_atanh, false), |
64a17f1a | 540 | FUNC_mpc_c_f ("cabs", mpc_abs, false), |
7fda5682 JM |
541 | FUNC_mpc_c_c ("cacos", mpc_acos, false), |
542 | FUNC_mpc_c_c ("cacosh", mpc_acosh, false), | |
64a17f1a | 543 | FUNC_mpc_c_f ("carg", mpc_arg, false), |
7fda5682 JM |
544 | FUNC_mpc_c_c ("casin", mpc_asin, false), |
545 | FUNC_mpc_c_c ("casinh", mpc_asinh, false), | |
546 | FUNC_mpc_c_c ("catan", mpc_atan, false), | |
547 | FUNC_mpc_c_c ("catanh", mpc_atanh, false), | |
176b0c79 | 548 | FUNC_mpfr_f_f ("cbrt", mpfr_cbrt, false), |
7fda5682 JM |
549 | FUNC_mpc_c_c ("ccos", mpc_cos, false), |
550 | FUNC_mpc_c_c ("ccosh", mpc_cosh, false), | |
551 | FUNC_mpc_c_c ("cexp", mpc_exp, false), | |
552 | FUNC_mpc_c_c ("clog", mpc_log, false), | |
553 | FUNC_mpc_c_c ("clog10", mpc_log10, false), | |
176b0c79 JM |
554 | FUNC_mpfr_f_f ("cos", mpfr_cos, false), |
555 | FUNC_mpfr_f_f ("cosh", mpfr_cosh, false), | |
b7867a3b | 556 | FUNC ("cpow", ARGS4 (type_fp, type_fp, type_fp, type_fp), |
c6af2d89 JM |
557 | RET2 (type_fp, type_fp), false, true, false, |
558 | CALC (mpc_cc_c, mpc_pow)), | |
7fda5682 JM |
559 | FUNC_mpc_c_c ("csin", mpc_sin, false), |
560 | FUNC_mpc_c_c ("csinh", mpc_sinh, false), | |
561 | FUNC_mpc_c_c ("csqrt", mpc_sqrt, false), | |
562 | FUNC_mpc_c_c ("ctan", mpc_tan, false), | |
563 | FUNC_mpc_c_c ("ctanh", mpc_tanh, false), | |
632a6cbe | 564 | FUNC_mpfr_ff_f ("div", mpfr_div, true), |
176b0c79 JM |
565 | FUNC_mpfr_f_f ("erf", mpfr_erf, false), |
566 | FUNC_mpfr_f_f ("erfc", mpfr_erfc, false), | |
567 | FUNC_mpfr_f_f ("exp", mpfr_exp, false), | |
568 | FUNC_mpfr_f_f ("exp10", mpfr_exp10, false), | |
569 | FUNC_mpfr_f_f ("exp2", mpfr_exp2, false), | |
570 | FUNC_mpfr_f_f ("expm1", mpfr_expm1, false), | |
c6af2d89 JM |
571 | FUNC ("fma", ARGS3 (type_fp, type_fp, type_fp), RET1 (type_fp), |
572 | true, false, true, CALC (mpfr_fff_f, mpfr_fma)), | |
ff362e5b | 573 | FUNC_mpfr_ff_f ("hypot", mpfr_hypot, false), |
176b0c79 JM |
574 | FUNC_mpfr_f_f ("j0", mpfr_j0, false), |
575 | FUNC_mpfr_f_f ("j1", mpfr_j1, false), | |
f889953b | 576 | FUNC_mpfr_if_f ("jn", mpfr_jn, false), |
9f0be4f8 | 577 | FUNC ("lgamma", ARGS1 (type_fp), RET2 (type_fp, type_int), false, false, |
c6af2d89 | 578 | false, CALC (mpfr_f_f1, mpfr_lgamma)), |
176b0c79 JM |
579 | FUNC_mpfr_f_f ("log", mpfr_log, false), |
580 | FUNC_mpfr_f_f ("log10", mpfr_log10, false), | |
581 | FUNC_mpfr_f_f ("log1p", mpfr_log1p, false), | |
582 | FUNC_mpfr_f_f ("log2", mpfr_log2, false), | |
69a01461 | 583 | FUNC_mpfr_ff_f ("mul", mpfr_mul, true), |
ff362e5b | 584 | FUNC_mpfr_ff_f ("pow", mpfr_pow, false), |
176b0c79 | 585 | FUNC_mpfr_f_f ("sin", mpfr_sin, false), |
6f6fc482 | 586 | FUNC ("sincos", ARGS1 (type_fp), RET2 (type_fp, type_fp), false, false, |
c6af2d89 | 587 | false, CALC (mpfr_f_11, mpfr_sin_cos)), |
176b0c79 | 588 | FUNC_mpfr_f_f ("sinh", mpfr_sinh, false), |
8d3f9e85 | 589 | FUNC_mpfr_ff_f ("sub", mpfr_sub, true), |
ffb536d0 | 590 | FUNC_mpfr_f_f ("sqrt", mpfr_sqrt, true), |
176b0c79 JM |
591 | FUNC_mpfr_f_f ("tan", mpfr_tan, false), |
592 | FUNC_mpfr_f_f ("tanh", mpfr_tanh, false), | |
593 | FUNC_mpfr_f_f ("tgamma", mpfr_gamma, false), | |
594 | FUNC_mpfr_f_f ("y0", mpfr_y0, false), | |
595 | FUNC_mpfr_f_f ("y1", mpfr_y1, false), | |
f889953b | 596 | FUNC_mpfr_if_f ("yn", mpfr_yn, false), |
ffb536d0 JM |
597 | }; |
598 | ||
599 | /* Allocate memory, with error checking. */ | |
600 | ||
601 | static void * | |
602 | xmalloc (size_t n) | |
603 | { | |
604 | void *p = malloc (n); | |
605 | if (p == NULL) | |
606 | error (EXIT_FAILURE, errno, "xmalloc failed"); | |
607 | return p; | |
608 | } | |
609 | ||
610 | static void * | |
611 | xrealloc (void *p, size_t n) | |
612 | { | |
613 | p = realloc (p, n); | |
614 | if (p == NULL) | |
615 | error (EXIT_FAILURE, errno, "xrealloc failed"); | |
616 | return p; | |
617 | } | |
618 | ||
619 | static char * | |
620 | xstrdup (const char *s) | |
621 | { | |
622 | char *p = strdup (s); | |
623 | if (p == NULL) | |
624 | error (EXIT_FAILURE, errno, "xstrdup failed"); | |
625 | return p; | |
626 | } | |
627 | ||
628 | /* Assert that the result of an MPFR operation was exact; that is, | |
629 | that the returned ternary value was 0. */ | |
630 | ||
631 | static void | |
632 | assert_exact (int i) | |
633 | { | |
634 | assert (i == 0); | |
635 | } | |
636 | ||
637 | /* Return the generic type of an argument or return value type T. */ | |
638 | ||
639 | static generic_value_type | |
640 | generic_arg_ret_type (arg_ret_type t) | |
641 | { | |
642 | switch (t) | |
643 | { | |
644 | case type_fp: | |
645 | return gtype_fp; | |
646 | ||
647 | case type_int: | |
648 | case type_long: | |
649 | case type_long_long: | |
650 | return gtype_int; | |
651 | ||
652 | default: | |
653 | abort (); | |
654 | } | |
655 | } | |
656 | ||
657 | /* Free a generic_value *V. */ | |
658 | ||
659 | static void | |
660 | generic_value_free (generic_value *v) | |
661 | { | |
662 | switch (v->type) | |
663 | { | |
664 | case gtype_fp: | |
665 | mpfr_clear (v->value.f); | |
666 | break; | |
667 | ||
668 | case gtype_int: | |
669 | mpz_clear (v->value.i); | |
670 | break; | |
671 | ||
672 | default: | |
673 | abort (); | |
674 | } | |
675 | } | |
676 | ||
677 | /* Copy a generic_value *SRC to *DEST. */ | |
678 | ||
679 | static void | |
680 | generic_value_copy (generic_value *dest, const generic_value *src) | |
681 | { | |
682 | dest->type = src->type; | |
683 | switch (src->type) | |
684 | { | |
685 | case gtype_fp: | |
686 | mpfr_init (dest->value.f); | |
687 | assert_exact (mpfr_set (dest->value.f, src->value.f, MPFR_RNDN)); | |
688 | break; | |
689 | ||
690 | case gtype_int: | |
691 | mpz_init (dest->value.i); | |
692 | mpz_set (dest->value.i, src->value.i); | |
693 | break; | |
694 | ||
695 | default: | |
696 | abort (); | |
697 | } | |
698 | } | |
699 | ||
700 | /* Initialize data for floating-point formats. */ | |
701 | ||
702 | static void | |
9dd346ff | 703 | init_fp_formats (void) |
ffb536d0 JM |
704 | { |
705 | int global_max_exp = 0, global_min_subnorm_exp = 0; | |
706 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) | |
707 | { | |
708 | if (fp_formats[f].mant_dig + 2 > internal_precision) | |
709 | internal_precision = fp_formats[f].mant_dig + 2; | |
710 | if (fp_formats[f].max_exp > global_max_exp) | |
711 | global_max_exp = fp_formats[f].max_exp; | |
712 | int min_subnorm_exp = fp_formats[f].min_exp - fp_formats[f].mant_dig; | |
713 | if (min_subnorm_exp < global_min_subnorm_exp) | |
714 | global_min_subnorm_exp = min_subnorm_exp; | |
715 | mpfr_init2 (fp_formats[f].max, fp_formats[f].mant_dig); | |
716 | if (fp_formats[f].max_string != NULL) | |
717 | { | |
718 | char *ep = NULL; | |
719 | assert_exact (mpfr_strtofr (fp_formats[f].max, | |
720 | fp_formats[f].max_string, | |
721 | &ep, 0, MPFR_RNDN)); | |
722 | assert (*ep == 0); | |
723 | } | |
724 | else | |
725 | { | |
726 | assert_exact (mpfr_set_ui_2exp (fp_formats[f].max, 1, | |
727 | fp_formats[f].max_exp, | |
728 | MPFR_RNDN)); | |
729 | mpfr_nextbelow (fp_formats[f].max); | |
730 | } | |
731 | mpfr_init2 (fp_formats[f].min, fp_formats[f].mant_dig); | |
732 | assert_exact (mpfr_set_ui_2exp (fp_formats[f].min, 1, | |
733 | fp_formats[f].min_exp - 1, | |
734 | MPFR_RNDN)); | |
046651c1 JM |
735 | mpfr_init2 (fp_formats[f].min_plus_half, fp_formats[f].mant_dig + 1); |
736 | assert_exact (mpfr_set (fp_formats[f].min_plus_half, | |
737 | fp_formats[f].min, MPFR_RNDN)); | |
738 | mpfr_nextabove (fp_formats[f].min_plus_half); | |
ffb536d0 JM |
739 | mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig); |
740 | assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min, | |
741 | MPFR_RNDN)); | |
742 | mpfr_nextbelow (fp_formats[f].subnorm_max); | |
743 | mpfr_nextbelow (fp_formats[f].subnorm_max); | |
744 | mpfr_init2 (fp_formats[f].subnorm_min, fp_formats[f].mant_dig); | |
745 | assert_exact (mpfr_set_ui_2exp (fp_formats[f].subnorm_min, 1, | |
746 | min_subnorm_exp, MPFR_RNDN)); | |
747 | } | |
748 | mpfr_set_default_prec (internal_precision); | |
749 | mpfr_init (global_max); | |
750 | assert_exact (mpfr_set_ui_2exp (global_max, 1, global_max_exp, MPFR_RNDN)); | |
751 | mpfr_init (global_min); | |
752 | assert_exact (mpfr_set_ui_2exp (global_min, 1, global_min_subnorm_exp - 1, | |
753 | MPFR_RNDN)); | |
754 | } | |
755 | ||
756 | /* Fill in mpfr_t values for special strings in input arguments. */ | |
757 | ||
758 | static size_t | |
759 | special_fill_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), | |
760 | fp_format format) | |
761 | { | |
762 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
763 | assert_exact (mpfr_set (res0, fp_formats[format].max, MPFR_RNDN)); | |
764 | return 1; | |
765 | } | |
766 | ||
767 | static size_t | |
768 | special_fill_minus_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), | |
769 | fp_format format) | |
770 | { | |
771 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
772 | assert_exact (mpfr_neg (res0, fp_formats[format].max, MPFR_RNDN)); | |
773 | return 1; | |
774 | } | |
775 | ||
ff362e5b JM |
776 | static size_t |
777 | special_fill_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), | |
778 | fp_format format) | |
779 | { | |
780 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
781 | assert_exact (mpfr_set (res0, fp_formats[format].min, MPFR_RNDN)); | |
782 | return 1; | |
783 | } | |
784 | ||
785 | static size_t | |
786 | special_fill_minus_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), | |
787 | fp_format format) | |
788 | { | |
789 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
790 | assert_exact (mpfr_neg (res0, fp_formats[format].min, MPFR_RNDN)); | |
791 | return 1; | |
792 | } | |
793 | ||
794 | static size_t | |
795 | special_fill_min_subnorm (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), | |
796 | fp_format format) | |
797 | { | |
798 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
799 | assert_exact (mpfr_set (res0, fp_formats[format].subnorm_min, MPFR_RNDN)); | |
800 | return 1; | |
801 | } | |
802 | ||
803 | static size_t | |
804 | special_fill_minus_min_subnorm (mpfr_t res0, | |
805 | mpfr_t res1 __attribute__ ((unused)), | |
806 | fp_format format) | |
807 | { | |
808 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
809 | assert_exact (mpfr_neg (res0, fp_formats[format].subnorm_min, MPFR_RNDN)); | |
810 | return 1; | |
811 | } | |
812 | ||
7fda5682 JM |
813 | static size_t |
814 | special_fill_min_subnorm_p120 (mpfr_t res0, | |
815 | mpfr_t res1 __attribute__ ((unused)), | |
816 | fp_format format) | |
817 | { | |
818 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
819 | assert_exact (mpfr_mul_2ui (res0, fp_formats[format].subnorm_min, | |
820 | 120, MPFR_RNDN)); | |
821 | return 1; | |
822 | } | |
823 | ||
ffb536d0 JM |
824 | static size_t |
825 | special_fill_pi (mpfr_t res0, mpfr_t res1, fp_format format) | |
826 | { | |
827 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
828 | mpfr_const_pi (res0, MPFR_RNDU); | |
829 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
830 | mpfr_const_pi (res1, MPFR_RNDD); | |
831 | return 2; | |
832 | } | |
833 | ||
834 | static size_t | |
835 | special_fill_minus_pi (mpfr_t res0, mpfr_t res1, fp_format format) | |
836 | { | |
837 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
838 | mpfr_const_pi (res0, MPFR_RNDU); | |
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_neg (res1, res1, MPFR_RNDN)); | |
843 | return 2; | |
844 | } | |
845 | ||
176b0c79 JM |
846 | static size_t |
847 | special_fill_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format) | |
848 | { | |
849 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
850 | mpfr_const_pi (res0, MPFR_RNDU); | |
851 | assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN)); | |
852 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
853 | mpfr_const_pi (res1, MPFR_RNDD); | |
854 | assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN)); | |
855 | return 2; | |
856 | } | |
857 | ||
858 | static size_t | |
859 | special_fill_minus_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format) | |
860 | { | |
861 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
862 | mpfr_const_pi (res0, MPFR_RNDU); | |
863 | assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN)); | |
864 | assert_exact (mpfr_neg (res0, res0, MPFR_RNDN)); | |
865 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
866 | mpfr_const_pi (res1, MPFR_RNDD); | |
867 | assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN)); | |
868 | assert_exact (mpfr_neg (res1, res1, MPFR_RNDN)); | |
869 | return 2; | |
870 | } | |
871 | ||
bbf37bdc JM |
872 | static size_t |
873 | special_fill_pi_4 (mpfr_t res0, mpfr_t res1, fp_format format) | |
874 | { | |
875 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
876 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); | |
877 | mpfr_atan (res0, res0, MPFR_RNDU); | |
878 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
879 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); | |
880 | mpfr_atan (res1, res1, MPFR_RNDD); | |
881 | return 2; | |
882 | } | |
883 | ||
176b0c79 JM |
884 | static size_t |
885 | special_fill_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format) | |
886 | { | |
887 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
888 | assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN)); | |
889 | mpfr_asin (res0, res0, MPFR_RNDU); | |
890 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
891 | assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN)); | |
892 | mpfr_asin (res1, res1, MPFR_RNDD); | |
893 | return 2; | |
894 | } | |
895 | ||
896 | static size_t | |
897 | special_fill_minus_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format) | |
898 | { | |
899 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
900 | assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN)); | |
901 | mpfr_asin (res0, res0, MPFR_RNDU); | |
902 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
903 | assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN)); | |
904 | mpfr_asin (res1, res1, MPFR_RNDD); | |
905 | return 2; | |
906 | } | |
907 | ||
908 | static size_t | |
909 | special_fill_pi_3 (mpfr_t res0, mpfr_t res1, fp_format format) | |
910 | { | |
911 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
912 | assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN)); | |
913 | mpfr_acos (res0, res0, MPFR_RNDU); | |
914 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
915 | assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN)); | |
916 | mpfr_acos (res1, res1, MPFR_RNDD); | |
917 | return 2; | |
918 | } | |
919 | ||
920 | static size_t | |
921 | special_fill_2pi_3 (mpfr_t res0, mpfr_t res1, fp_format format) | |
922 | { | |
923 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
924 | assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN)); | |
925 | mpfr_acos (res0, res0, MPFR_RNDU); | |
926 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
927 | assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN)); | |
928 | mpfr_acos (res1, res1, MPFR_RNDD); | |
929 | return 2; | |
930 | } | |
931 | ||
b7867a3b JM |
932 | static size_t |
933 | special_fill_2pi (mpfr_t res0, mpfr_t res1, fp_format format) | |
934 | { | |
935 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
936 | mpfr_const_pi (res0, MPFR_RNDU); | |
937 | assert_exact (mpfr_mul_ui (res0, res0, 2, MPFR_RNDN)); | |
938 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
939 | mpfr_const_pi (res1, MPFR_RNDD); | |
940 | assert_exact (mpfr_mul_ui (res1, res1, 2, MPFR_RNDN)); | |
941 | return 2; | |
942 | } | |
943 | ||
176b0c79 JM |
944 | static size_t |
945 | special_fill_e (mpfr_t res0, mpfr_t res1, fp_format format) | |
946 | { | |
947 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
948 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); | |
949 | mpfr_exp (res0, res0, MPFR_RNDU); | |
950 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
951 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); | |
952 | mpfr_exp (res1, res1, MPFR_RNDD); | |
953 | return 2; | |
954 | } | |
955 | ||
956 | static size_t | |
957 | special_fill_1_e (mpfr_t res0, mpfr_t res1, fp_format format) | |
958 | { | |
959 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
960 | assert_exact (mpfr_set_si (res0, -1, MPFR_RNDN)); | |
961 | mpfr_exp (res0, res0, MPFR_RNDU); | |
962 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
963 | assert_exact (mpfr_set_si (res1, -1, MPFR_RNDN)); | |
964 | mpfr_exp (res1, res1, MPFR_RNDD); | |
965 | return 2; | |
966 | } | |
967 | ||
968 | static size_t | |
969 | special_fill_e_minus_1 (mpfr_t res0, mpfr_t res1, fp_format format) | |
970 | { | |
971 | mpfr_init2 (res0, fp_formats[format].mant_dig); | |
972 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); | |
973 | mpfr_expm1 (res0, res0, MPFR_RNDU); | |
974 | mpfr_init2 (res1, fp_formats[format].mant_dig); | |
975 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); | |
976 | mpfr_expm1 (res1, res1, MPFR_RNDD); | |
977 | return 2; | |
978 | } | |
979 | ||
ffb536d0 JM |
980 | /* A special string accepted in input arguments. */ |
981 | typedef struct | |
982 | { | |
983 | /* The string. */ | |
984 | const char *str; | |
985 | /* The function that interprets it for a given floating-point | |
986 | format, filling in up to two mpfr_t values and returning the | |
987 | number of values filled. */ | |
988 | size_t (*func) (mpfr_t, mpfr_t, fp_format); | |
989 | } special_real_input; | |
990 | ||
991 | /* List of special strings accepted in input arguments. */ | |
992 | ||
993 | static const special_real_input special_real_inputs[] = | |
994 | { | |
995 | { "max", special_fill_max }, | |
996 | { "-max", special_fill_minus_max }, | |
ff362e5b JM |
997 | { "min", special_fill_min }, |
998 | { "-min", special_fill_minus_min }, | |
999 | { "min_subnorm", special_fill_min_subnorm }, | |
1000 | { "-min_subnorm", special_fill_minus_min_subnorm }, | |
7fda5682 | 1001 | { "min_subnorm_p120", special_fill_min_subnorm_p120 }, |
ffb536d0 JM |
1002 | { "pi", special_fill_pi }, |
1003 | { "-pi", special_fill_minus_pi }, | |
176b0c79 JM |
1004 | { "pi/2", special_fill_pi_2 }, |
1005 | { "-pi/2", special_fill_minus_pi_2 }, | |
bbf37bdc | 1006 | { "pi/4", special_fill_pi_4 }, |
176b0c79 JM |
1007 | { "pi/6", special_fill_pi_6 }, |
1008 | { "-pi/6", special_fill_minus_pi_6 }, | |
1009 | { "pi/3", special_fill_pi_3 }, | |
1010 | { "2pi/3", special_fill_2pi_3 }, | |
b7867a3b | 1011 | { "2pi", special_fill_2pi }, |
176b0c79 JM |
1012 | { "e", special_fill_e }, |
1013 | { "1/e", special_fill_1_e }, | |
1014 | { "e-1", special_fill_e_minus_1 }, | |
ffb536d0 JM |
1015 | }; |
1016 | ||
1017 | /* Given a real number R computed in round-to-zero mode, set the | |
1018 | lowest bit as a sticky bit if INEXACT, and saturate the exponent | |
1019 | range for very large or small values. */ | |
1020 | ||
1021 | static void | |
1022 | adjust_real (mpfr_t r, bool inexact) | |
1023 | { | |
1024 | if (!inexact) | |
1025 | return; | |
1026 | /* NaNs are exact, as are infinities in round-to-zero mode. */ | |
d8e2dbe3 | 1027 | assert (mpfr_number_p (r)); |
ffb536d0 JM |
1028 | if (mpfr_cmpabs (r, global_min) < 0) |
1029 | assert_exact (mpfr_copysign (r, global_min, r, MPFR_RNDN)); | |
1030 | else if (mpfr_cmpabs (r, global_max) > 0) | |
1031 | assert_exact (mpfr_copysign (r, global_max, r, MPFR_RNDN)); | |
1032 | else | |
1033 | { | |
1034 | mpz_t tmp; | |
1035 | mpz_init (tmp); | |
1036 | mpfr_exp_t e = mpfr_get_z_2exp (tmp, r); | |
a4fb7861 JM |
1037 | if (mpz_sgn (tmp) < 0) |
1038 | { | |
1039 | mpz_neg (tmp, tmp); | |
1040 | mpz_setbit (tmp, 0); | |
1041 | mpz_neg (tmp, tmp); | |
1042 | } | |
1043 | else | |
1044 | mpz_setbit (tmp, 0); | |
ffb536d0 JM |
1045 | assert_exact (mpfr_set_z_2exp (r, tmp, e, MPFR_RNDN)); |
1046 | mpz_clear (tmp); | |
1047 | } | |
1048 | } | |
1049 | ||
1050 | /* Given a finite real number R with sticky bit, compute the roundings | |
1051 | to FORMAT in each rounding mode, storing the results in RES, the | |
1052 | before-rounding exceptions in EXC_BEFORE and the after-rounding | |
1053 | exceptions in EXC_AFTER. */ | |
1054 | ||
1055 | static void | |
1056 | round_real (mpfr_t res[rm_num_modes], | |
1057 | unsigned int exc_before[rm_num_modes], | |
1058 | unsigned int exc_after[rm_num_modes], | |
1059 | mpfr_t r, fp_format format) | |
1060 | { | |
1061 | assert (mpfr_number_p (r)); | |
1062 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) | |
1063 | { | |
1064 | mpfr_init2 (res[m], fp_formats[format].mant_dig); | |
1065 | exc_before[m] = exc_after[m] = 0; | |
1066 | bool inexact = mpfr_set (res[m], r, rounding_modes[m].mpfr_mode); | |
1067 | if (mpfr_cmpabs (res[m], fp_formats[format].max) > 0) | |
1068 | { | |
1069 | inexact = true; | |
1070 | exc_before[m] |= 1U << exc_overflow; | |
1071 | exc_after[m] |= 1U << exc_overflow; | |
1072 | bool overflow_inf; | |
1073 | switch (m) | |
1074 | { | |
1075 | case rm_tonearest: | |
1076 | overflow_inf = true; | |
1077 | break; | |
1078 | case rm_towardzero: | |
1079 | overflow_inf = false; | |
1080 | break; | |
1081 | case rm_downward: | |
1082 | overflow_inf = mpfr_signbit (res[m]); | |
1083 | break; | |
1084 | case rm_upward: | |
1085 | overflow_inf = !mpfr_signbit (res[m]); | |
1086 | break; | |
1087 | default: | |
1088 | abort (); | |
1089 | } | |
1090 | if (overflow_inf) | |
1091 | mpfr_set_inf (res[m], mpfr_signbit (res[m]) ? -1 : 1); | |
1092 | else | |
1093 | assert_exact (mpfr_copysign (res[m], fp_formats[format].max, | |
1094 | res[m], MPFR_RNDN)); | |
1095 | } | |
1096 | if (mpfr_cmpabs (r, fp_formats[format].min) < 0) | |
1097 | { | |
1098 | /* Tiny before rounding; may or may not be tiny after | |
1099 | rounding, and underflow applies only if also inexact | |
1100 | around rounding to a possibly subnormal value. */ | |
1101 | bool tiny_after_rounding | |
1102 | = mpfr_cmpabs (res[m], fp_formats[format].min) < 0; | |
1103 | /* To round to a possibly subnormal value, and determine | |
1104 | inexactness as a subnormal in the process, scale up and | |
1105 | round to integer, then scale back down. */ | |
1106 | mpfr_t tmp; | |
1107 | mpfr_init (tmp); | |
1108 | assert_exact (mpfr_mul_2si (tmp, r, (fp_formats[format].mant_dig | |
1109 | - fp_formats[format].min_exp), | |
1110 | MPFR_RNDN)); | |
1111 | int rint_res = mpfr_rint (tmp, tmp, rounding_modes[m].mpfr_mode); | |
1112 | /* The integer must be representable. */ | |
1113 | assert (rint_res == 0 || rint_res == 2 || rint_res == -2); | |
1114 | /* If rounding to full precision was inexact, so must | |
1115 | rounding to subnormal precision be inexact. */ | |
1116 | if (inexact) | |
1117 | assert (rint_res != 0); | |
1118 | else | |
1119 | inexact = rint_res != 0; | |
1120 | assert_exact (mpfr_mul_2si (res[m], tmp, | |
1121 | (fp_formats[format].min_exp | |
1122 | - fp_formats[format].mant_dig), | |
1123 | MPFR_RNDN)); | |
1124 | mpfr_clear (tmp); | |
1125 | if (inexact) | |
1126 | { | |
1127 | exc_before[m] |= 1U << exc_underflow; | |
1128 | if (tiny_after_rounding) | |
1129 | exc_after[m] |= 1U << exc_underflow; | |
1130 | } | |
1131 | } | |
1132 | if (inexact) | |
1133 | { | |
1134 | exc_before[m] |= 1U << exc_inexact; | |
1135 | exc_after[m] |= 1U << exc_inexact; | |
1136 | } | |
1137 | } | |
1138 | } | |
1139 | ||
1140 | /* Handle the input argument at ARG (NUL-terminated), updating the | |
1141 | lists of test inputs in IT accordingly. NUM_PREV_ARGS arguments | |
c6af2d89 JM |
1142 | are already in those lists. If EXACT_ARGS, interpret a value given |
1143 | as a floating-point constant exactly (it must be exact for some | |
1144 | supported format) rather than rounding up and down. The argument, | |
1145 | of type GTYPE, comes from file FILENAME, line LINENO. */ | |
ffb536d0 JM |
1146 | |
1147 | static void | |
1148 | handle_input_arg (const char *arg, input_test *it, size_t num_prev_args, | |
c6af2d89 | 1149 | generic_value_type gtype, bool exact_args, |
ffb536d0 JM |
1150 | const char *filename, unsigned int lineno) |
1151 | { | |
1152 | size_t num_values = 0; | |
1153 | generic_value values[2 * fp_num_formats]; | |
c6af2d89 | 1154 | bool check_empty_list = false; |
ffb536d0 JM |
1155 | switch (gtype) |
1156 | { | |
1157 | case gtype_fp: | |
1158 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) | |
1159 | { | |
1160 | mpfr_t extra_values[2]; | |
1161 | size_t num_extra_values = 0; | |
1162 | for (size_t i = 0; i < ARRAY_SIZE (special_real_inputs); i++) | |
1163 | { | |
1164 | if (strcmp (arg, special_real_inputs[i].str) == 0) | |
1165 | { | |
1166 | num_extra_values | |
1167 | = special_real_inputs[i].func (extra_values[0], | |
1168 | extra_values[1], f); | |
1169 | assert (num_extra_values > 0 | |
1170 | && num_extra_values <= ARRAY_SIZE (extra_values)); | |
1171 | break; | |
1172 | } | |
1173 | } | |
1174 | if (num_extra_values == 0) | |
1175 | { | |
1176 | mpfr_t tmp; | |
1177 | char *ep; | |
c6af2d89 JM |
1178 | if (exact_args) |
1179 | check_empty_list = true; | |
ffb536d0 JM |
1180 | mpfr_init (tmp); |
1181 | bool inexact = mpfr_strtofr (tmp, arg, &ep, 0, MPFR_RNDZ); | |
1182 | if (*ep != 0 || !mpfr_number_p (tmp)) | |
1183 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1184 | "bad floating-point argument: '%s'", arg); | |
1185 | adjust_real (tmp, inexact); | |
1186 | mpfr_t rounded[rm_num_modes]; | |
1187 | unsigned int exc_before[rm_num_modes]; | |
1188 | unsigned int exc_after[rm_num_modes]; | |
1189 | round_real (rounded, exc_before, exc_after, tmp, f); | |
1190 | mpfr_clear (tmp); | |
c6af2d89 JM |
1191 | if (mpfr_number_p (rounded[rm_upward]) |
1192 | && (!exact_args || mpfr_equal_p (rounded[rm_upward], | |
1193 | rounded[rm_downward]))) | |
ffb536d0 JM |
1194 | { |
1195 | mpfr_init2 (extra_values[num_extra_values], | |
1196 | fp_formats[f].mant_dig); | |
1197 | assert_exact (mpfr_set (extra_values[num_extra_values], | |
1198 | rounded[rm_upward], MPFR_RNDN)); | |
1199 | num_extra_values++; | |
1200 | } | |
c6af2d89 | 1201 | if (mpfr_number_p (rounded[rm_downward]) && !exact_args) |
ffb536d0 JM |
1202 | { |
1203 | mpfr_init2 (extra_values[num_extra_values], | |
1204 | fp_formats[f].mant_dig); | |
1205 | assert_exact (mpfr_set (extra_values[num_extra_values], | |
1206 | rounded[rm_downward], MPFR_RNDN)); | |
1207 | num_extra_values++; | |
1208 | } | |
1209 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) | |
1210 | mpfr_clear (rounded[m]); | |
1211 | } | |
1212 | for (size_t i = 0; i < num_extra_values; i++) | |
1213 | { | |
1214 | bool found = false; | |
1215 | for (size_t j = 0; j < num_values; j++) | |
1216 | { | |
1217 | if (mpfr_equal_p (values[j].value.f, extra_values[i]) | |
1218 | && ((mpfr_signbit (values[j].value.f) != 0) | |
1219 | == (mpfr_signbit (extra_values[i]) != 0))) | |
1220 | { | |
1221 | found = true; | |
1222 | break; | |
1223 | } | |
1224 | } | |
1225 | if (!found) | |
1226 | { | |
1227 | assert (num_values < ARRAY_SIZE (values)); | |
1228 | values[num_values].type = gtype_fp; | |
1229 | mpfr_init2 (values[num_values].value.f, | |
1230 | fp_formats[f].mant_dig); | |
1231 | assert_exact (mpfr_set (values[num_values].value.f, | |
1232 | extra_values[i], MPFR_RNDN)); | |
1233 | num_values++; | |
1234 | } | |
1235 | mpfr_clear (extra_values[i]); | |
1236 | } | |
1237 | } | |
1238 | break; | |
1239 | ||
1240 | case gtype_int: | |
1241 | num_values = 1; | |
1242 | values[0].type = gtype_int; | |
1243 | int ret = mpz_init_set_str (values[0].value.i, arg, 0); | |
1244 | if (ret != 0) | |
1245 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1246 | "bad integer argument: '%s'", arg); | |
1247 | break; | |
1248 | ||
1249 | default: | |
1250 | abort (); | |
1251 | } | |
c6af2d89 JM |
1252 | if (check_empty_list && num_values == 0) |
1253 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1254 | "floating-point argument not exact for any format: '%s'", | |
1255 | arg); | |
ffb536d0 JM |
1256 | assert (num_values > 0 && num_values <= ARRAY_SIZE (values)); |
1257 | if (it->num_input_cases >= SIZE_MAX / num_values) | |
1258 | error_at_line (EXIT_FAILURE, 0, filename, lineno, "too many input cases"); | |
1259 | generic_value **old_inputs = it->inputs; | |
1260 | size_t new_num_input_cases = it->num_input_cases * num_values; | |
1261 | generic_value **new_inputs = xmalloc (new_num_input_cases | |
1262 | * sizeof (new_inputs[0])); | |
1263 | for (size_t i = 0; i < it->num_input_cases; i++) | |
1264 | { | |
1265 | for (size_t j = 0; j < num_values; j++) | |
1266 | { | |
1267 | size_t idx = i * num_values + j; | |
1268 | new_inputs[idx] = xmalloc ((num_prev_args + 1) | |
1269 | * sizeof (new_inputs[idx][0])); | |
1270 | for (size_t k = 0; k < num_prev_args; k++) | |
1271 | generic_value_copy (&new_inputs[idx][k], &old_inputs[i][k]); | |
1272 | generic_value_copy (&new_inputs[idx][num_prev_args], &values[j]); | |
1273 | } | |
1274 | for (size_t j = 0; j < num_prev_args; j++) | |
1275 | generic_value_free (&old_inputs[i][j]); | |
1276 | free (old_inputs[i]); | |
1277 | } | |
1278 | free (old_inputs); | |
1279 | for (size_t i = 0; i < num_values; i++) | |
1280 | generic_value_free (&values[i]); | |
1281 | it->inputs = new_inputs; | |
1282 | it->num_input_cases = new_num_input_cases; | |
1283 | } | |
1284 | ||
1285 | /* Handle the input flag ARG (NUL-terminated), storing it in *FLAG. | |
1286 | The flag comes from file FILENAME, line LINENO. */ | |
1287 | ||
1288 | static void | |
1289 | handle_input_flag (char *arg, input_flag *flag, | |
1290 | const char *filename, unsigned int lineno) | |
1291 | { | |
1292 | char *ep = strchr (arg, ':'); | |
1293 | if (ep == NULL) | |
1294 | { | |
1295 | ep = strchr (arg, 0); | |
1296 | assert (ep != NULL); | |
1297 | } | |
1298 | char c = *ep; | |
1299 | *ep = 0; | |
1300 | bool found = false; | |
1301 | for (input_flag_type i = flag_first_flag; i <= num_input_flag_types; i++) | |
1302 | { | |
1303 | if (strcmp (arg, input_flags[i]) == 0) | |
1304 | { | |
1305 | found = true; | |
1306 | flag->type = i; | |
1307 | break; | |
1308 | } | |
1309 | } | |
1310 | if (!found) | |
1311 | error_at_line (EXIT_FAILURE, 0, filename, lineno, "unknown flag: '%s'", | |
1312 | arg); | |
1313 | *ep = c; | |
1314 | if (c == 0) | |
1315 | flag->cond = NULL; | |
1316 | else | |
1317 | flag->cond = xstrdup (ep); | |
1318 | } | |
1319 | ||
1320 | /* Add the test LINE (file FILENAME, line LINENO) to the test | |
1321 | data. */ | |
1322 | ||
1323 | static void | |
1324 | add_test (char *line, const char *filename, unsigned int lineno) | |
1325 | { | |
1326 | size_t num_tokens = 1; | |
1327 | char *p = line; | |
1328 | while ((p = strchr (p, ' ')) != NULL) | |
1329 | { | |
1330 | num_tokens++; | |
1331 | p++; | |
1332 | } | |
1333 | if (num_tokens < 2) | |
1334 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1335 | "line too short: '%s'", line); | |
1336 | p = strchr (line, ' '); | |
1337 | size_t func_name_len = p - line; | |
1338 | for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) | |
1339 | { | |
1340 | if (func_name_len == strlen (test_functions[i].name) | |
1341 | && strncmp (line, test_functions[i].name, func_name_len) == 0) | |
1342 | { | |
1343 | test_function *tf = &test_functions[i]; | |
1344 | if (num_tokens < 1 + tf->num_args) | |
1345 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1346 | "line too short: '%s'", line); | |
1347 | if (tf->num_tests == tf->num_tests_alloc) | |
1348 | { | |
1349 | tf->num_tests_alloc = 2 * tf->num_tests_alloc + 16; | |
1350 | tf->tests | |
1351 | = xrealloc (tf->tests, | |
1352 | tf->num_tests_alloc * sizeof (tf->tests[0])); | |
1353 | } | |
1354 | input_test *it = &tf->tests[tf->num_tests]; | |
1355 | it->line = line; | |
1356 | it->num_input_cases = 1; | |
1357 | it->inputs = xmalloc (sizeof (it->inputs[0])); | |
1358 | it->inputs[0] = NULL; | |
1359 | it->old_output = NULL; | |
1360 | p++; | |
1361 | for (size_t j = 0; j < tf->num_args; j++) | |
1362 | { | |
1363 | char *ep = strchr (p, ' '); | |
1364 | if (ep == NULL) | |
1365 | { | |
1366 | ep = strchr (p, '\n'); | |
1367 | assert (ep != NULL); | |
1368 | } | |
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_arg (p, it, j, | |
1379 | generic_arg_ret_type (tf->arg_types[j]), | |
c6af2d89 | 1380 | tf->exact_args, filename, lineno); |
ffb536d0 JM |
1381 | *ep = c; |
1382 | p = ep + 1; | |
1383 | } | |
1384 | it->num_flags = num_tokens - 1 - tf->num_args; | |
1385 | it->flags = xmalloc (it->num_flags * sizeof (it->flags[0])); | |
1386 | for (size_t j = 0; j < it->num_flags; j++) | |
1387 | { | |
1388 | char *ep = strchr (p, ' '); | |
1389 | if (ep == NULL) | |
1390 | { | |
1391 | ep = strchr (p, '\n'); | |
1392 | assert (ep != NULL); | |
1393 | } | |
1394 | if (ep == p) | |
1395 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1396 | "empty token in line: '%s'", line); | |
1397 | for (char *t = p; t < ep; t++) | |
1398 | if (isspace ((unsigned char) *t)) | |
1399 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1400 | "whitespace in token in line: '%s'", line); | |
1401 | char c = *ep; | |
1402 | *ep = 0; | |
1403 | handle_input_flag (p, &it->flags[j], filename, lineno); | |
1404 | *ep = c; | |
1405 | p = ep + 1; | |
1406 | } | |
1407 | assert (*p == 0); | |
1408 | tf->num_tests++; | |
1409 | return; | |
1410 | } | |
1411 | } | |
1412 | error_at_line (EXIT_FAILURE, 0, filename, lineno, | |
1413 | "unknown function in line: '%s'", line); | |
1414 | } | |
1415 | ||
1416 | /* Read in the test input data from FILENAME. */ | |
1417 | ||
1418 | static void | |
1419 | read_input (const char *filename) | |
1420 | { | |
1421 | FILE *fp = fopen (filename, "r"); | |
1422 | if (fp == NULL) | |
1423 | error (EXIT_FAILURE, errno, "open '%s'", filename); | |
1424 | unsigned int lineno = 0; | |
1425 | for (;;) | |
1426 | { | |
1427 | size_t size = 0; | |
1428 | char *line = NULL; | |
1429 | ssize_t ret = getline (&line, &size, fp); | |
1430 | if (ret == -1) | |
1431 | break; | |
1432 | lineno++; | |
1433 | if (line[0] == '#' || line[0] == '\n') | |
1434 | continue; | |
1435 | add_test (line, filename, lineno); | |
1436 | } | |
1437 | if (ferror (fp)) | |
1438 | error (EXIT_FAILURE, errno, "read from '%s'", filename); | |
1439 | if (fclose (fp) != 0) | |
1440 | error (EXIT_FAILURE, errno, "close '%s'", filename); | |
1441 | } | |
1442 | ||
1443 | /* Calculate the generic results (round-to-zero with sticky bit) for | |
c6af2d89 JM |
1444 | the function described by CALC, with inputs INPUTS, if MODE is |
1445 | rm_towardzero; for other modes, calculate results in that mode, | |
1446 | which must be exact zero results. */ | |
ffb536d0 JM |
1447 | |
1448 | static void | |
1449 | calc_generic_results (generic_value *outputs, generic_value *inputs, | |
c6af2d89 | 1450 | const func_calc_desc *calc, rounding_mode mode) |
ffb536d0 JM |
1451 | { |
1452 | bool inexact; | |
b7867a3b JM |
1453 | int mpc_ternary; |
1454 | mpc_t ci1, ci2, co; | |
c6af2d89 JM |
1455 | mpfr_rnd_t mode_mpfr = rounding_modes[mode].mpfr_mode; |
1456 | mpc_rnd_t mode_mpc = rounding_modes[mode].mpc_mode; | |
b7867a3b | 1457 | |
ffb536d0 JM |
1458 | switch (calc->method) |
1459 | { | |
1460 | case mpfr_f_f: | |
1461 | assert (inputs[0].type == gtype_fp); | |
1462 | outputs[0].type = gtype_fp; | |
1463 | mpfr_init (outputs[0].value.f); | |
1464 | inexact = calc->func.mpfr_f_f (outputs[0].value.f, inputs[0].value.f, | |
c6af2d89 JM |
1465 | mode_mpfr); |
1466 | if (mode != rm_towardzero) | |
1467 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
ffb536d0 JM |
1468 | adjust_real (outputs[0].value.f, inexact); |
1469 | break; | |
1470 | ||
ff362e5b JM |
1471 | case mpfr_ff_f: |
1472 | assert (inputs[0].type == gtype_fp); | |
f889953b | 1473 | assert (inputs[1].type == gtype_fp); |
ff362e5b JM |
1474 | outputs[0].type = gtype_fp; |
1475 | mpfr_init (outputs[0].value.f); | |
1476 | inexact = calc->func.mpfr_ff_f (outputs[0].value.f, inputs[0].value.f, | |
c6af2d89 JM |
1477 | inputs[1].value.f, mode_mpfr); |
1478 | if (mode != rm_towardzero) | |
1479 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
1480 | adjust_real (outputs[0].value.f, inexact); | |
1481 | break; | |
1482 | ||
1483 | case mpfr_fff_f: | |
1484 | assert (inputs[0].type == gtype_fp); | |
1485 | assert (inputs[1].type == gtype_fp); | |
1486 | assert (inputs[2].type == gtype_fp); | |
1487 | outputs[0].type = gtype_fp; | |
1488 | mpfr_init (outputs[0].value.f); | |
1489 | inexact = calc->func.mpfr_fff_f (outputs[0].value.f, inputs[0].value.f, | |
1490 | inputs[1].value.f, inputs[2].value.f, | |
1491 | mode_mpfr); | |
1492 | if (mode != rm_towardzero) | |
1493 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
ff362e5b JM |
1494 | adjust_real (outputs[0].value.f, inexact); |
1495 | break; | |
1496 | ||
9f0be4f8 JM |
1497 | case mpfr_f_f1: |
1498 | assert (inputs[0].type == gtype_fp); | |
1499 | outputs[0].type = gtype_fp; | |
1500 | outputs[1].type = gtype_int; | |
1501 | mpfr_init (outputs[0].value.f); | |
1502 | int i = 0; | |
1503 | inexact = calc->func.mpfr_f_f1 (outputs[0].value.f, &i, | |
c6af2d89 JM |
1504 | inputs[0].value.f, mode_mpfr); |
1505 | if (mode != rm_towardzero) | |
1506 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
9f0be4f8 JM |
1507 | adjust_real (outputs[0].value.f, inexact); |
1508 | mpz_init_set_si (outputs[1].value.i, i); | |
1509 | break; | |
1510 | ||
f889953b JM |
1511 | case mpfr_if_f: |
1512 | assert (inputs[0].type == gtype_int); | |
1513 | assert (inputs[1].type == gtype_fp); | |
1514 | outputs[0].type = gtype_fp; | |
1515 | mpfr_init (outputs[0].value.f); | |
1516 | assert (mpz_fits_slong_p (inputs[0].value.i)); | |
1517 | long l = mpz_get_si (inputs[0].value.i); | |
1518 | inexact = calc->func.mpfr_if_f (outputs[0].value.f, l, | |
c6af2d89 JM |
1519 | inputs[1].value.f, mode_mpfr); |
1520 | if (mode != rm_towardzero) | |
1521 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
f889953b JM |
1522 | adjust_real (outputs[0].value.f, inexact); |
1523 | break; | |
1524 | ||
6f6fc482 JM |
1525 | case mpfr_f_11: |
1526 | assert (inputs[0].type == gtype_fp); | |
1527 | outputs[0].type = gtype_fp; | |
1528 | mpfr_init (outputs[0].value.f); | |
1529 | outputs[1].type = gtype_fp; | |
1530 | mpfr_init (outputs[1].value.f); | |
1531 | int comb_ternary = calc->func.mpfr_f_11 (outputs[0].value.f, | |
1532 | outputs[1].value.f, | |
1533 | inputs[0].value.f, | |
c6af2d89 JM |
1534 | mode_mpfr); |
1535 | if (mode != rm_towardzero) | |
1536 | assert (((comb_ternary & 0x3) == 0 | |
1537 | && mpfr_zero_p (outputs[0].value.f)) | |
1538 | || ((comb_ternary & 0xc) == 0 | |
1539 | && mpfr_zero_p (outputs[1].value.f))); | |
6f6fc482 JM |
1540 | adjust_real (outputs[0].value.f, (comb_ternary & 0x3) != 0); |
1541 | adjust_real (outputs[1].value.f, (comb_ternary & 0xc) != 0); | |
1542 | break; | |
1543 | ||
64a17f1a JM |
1544 | case mpc_c_f: |
1545 | assert (inputs[0].type == gtype_fp); | |
1546 | assert (inputs[1].type == gtype_fp); | |
1547 | outputs[0].type = gtype_fp; | |
1548 | mpfr_init (outputs[0].value.f); | |
b7867a3b JM |
1549 | mpc_init2 (ci1, internal_precision); |
1550 | assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, | |
64a17f1a | 1551 | MPC_RNDNN)); |
c6af2d89 JM |
1552 | inexact = calc->func.mpc_c_f (outputs[0].value.f, ci1, mode_mpfr); |
1553 | if (mode != rm_towardzero) | |
1554 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); | |
64a17f1a | 1555 | adjust_real (outputs[0].value.f, inexact); |
b7867a3b | 1556 | mpc_clear (ci1); |
64a17f1a JM |
1557 | break; |
1558 | ||
7fda5682 JM |
1559 | case mpc_c_c: |
1560 | assert (inputs[0].type == gtype_fp); | |
1561 | assert (inputs[1].type == gtype_fp); | |
1562 | outputs[0].type = gtype_fp; | |
1563 | mpfr_init (outputs[0].value.f); | |
1564 | outputs[1].type = gtype_fp; | |
1565 | mpfr_init (outputs[1].value.f); | |
b7867a3b | 1566 | mpc_init2 (ci1, internal_precision); |
7fda5682 | 1567 | mpc_init2 (co, internal_precision); |
b7867a3b JM |
1568 | assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, |
1569 | MPC_RNDNN)); | |
c6af2d89 JM |
1570 | mpc_ternary = calc->func.mpc_c_c (co, ci1, mode_mpc); |
1571 | if (mode != rm_towardzero) | |
1572 | assert ((!MPC_INEX_RE (mpc_ternary) | |
1573 | && mpfr_zero_p (mpc_realref (co))) | |
1574 | || (!MPC_INEX_IM (mpc_ternary) | |
1575 | && mpfr_zero_p (mpc_imagref (co)))); | |
b7867a3b JM |
1576 | assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co), |
1577 | MPFR_RNDN)); | |
1578 | assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co), | |
1579 | MPFR_RNDN)); | |
1580 | adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary)); | |
1581 | adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary)); | |
1582 | mpc_clear (ci1); | |
1583 | mpc_clear (co); | |
1584 | break; | |
1585 | ||
1586 | case mpc_cc_c: | |
1587 | assert (inputs[0].type == gtype_fp); | |
1588 | assert (inputs[1].type == gtype_fp); | |
1589 | assert (inputs[2].type == gtype_fp); | |
1590 | assert (inputs[3].type == gtype_fp); | |
1591 | outputs[0].type = gtype_fp; | |
1592 | mpfr_init (outputs[0].value.f); | |
1593 | outputs[1].type = gtype_fp; | |
1594 | mpfr_init (outputs[1].value.f); | |
1595 | mpc_init2 (ci1, internal_precision); | |
1596 | mpc_init2 (ci2, internal_precision); | |
1597 | mpc_init2 (co, internal_precision); | |
1598 | assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, | |
1599 | MPC_RNDNN)); | |
1600 | assert_exact (mpc_set_fr_fr (ci2, inputs[2].value.f, inputs[3].value.f, | |
7fda5682 | 1601 | MPC_RNDNN)); |
c6af2d89 JM |
1602 | mpc_ternary = calc->func.mpc_cc_c (co, ci1, ci2, mode_mpc); |
1603 | if (mode != rm_towardzero) | |
1604 | assert ((!MPC_INEX_RE (mpc_ternary) | |
1605 | && mpfr_zero_p (mpc_realref (co))) | |
1606 | || (!MPC_INEX_IM (mpc_ternary) | |
1607 | && mpfr_zero_p (mpc_imagref (co)))); | |
7fda5682 JM |
1608 | assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co), |
1609 | MPFR_RNDN)); | |
1610 | assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co), | |
1611 | MPFR_RNDN)); | |
1612 | adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary)); | |
1613 | adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary)); | |
b7867a3b JM |
1614 | mpc_clear (ci1); |
1615 | mpc_clear (ci2); | |
7fda5682 JM |
1616 | mpc_clear (co); |
1617 | break; | |
1618 | ||
ffb536d0 JM |
1619 | default: |
1620 | abort (); | |
1621 | } | |
1622 | } | |
1623 | ||
1624 | /* Return the number of bits for integer type TYPE, where "long" has | |
1625 | LONG_BITS bits (32 or 64). */ | |
1626 | ||
1627 | static int | |
1628 | int_type_bits (arg_ret_type type, int long_bits) | |
1629 | { | |
1630 | assert (long_bits == 32 || long_bits == 64); | |
1631 | switch (type) | |
1632 | { | |
1633 | case type_int: | |
1634 | return 32; | |
1635 | break; | |
1636 | ||
1637 | case type_long: | |
1638 | return long_bits; | |
1639 | break; | |
1640 | ||
1641 | case type_long_long: | |
1642 | return 64; | |
1643 | break; | |
1644 | ||
1645 | default: | |
1646 | abort (); | |
1647 | } | |
1648 | } | |
1649 | ||
1650 | /* Check whether an integer Z fits a given type TYPE, where "long" has | |
1651 | LONG_BITS bits (32 or 64). */ | |
1652 | ||
1653 | static bool | |
1654 | int_fits_type (mpz_t z, arg_ret_type type, int long_bits) | |
1655 | { | |
1656 | int bits = int_type_bits (type, long_bits); | |
1657 | bool ret = true; | |
1658 | mpz_t t; | |
1659 | mpz_init (t); | |
1660 | mpz_ui_pow_ui (t, 2, bits - 1); | |
1661 | if (mpz_cmp (z, t) >= 0) | |
1662 | ret = false; | |
1663 | mpz_neg (t, t); | |
1664 | if (mpz_cmp (z, t) < 0) | |
1665 | ret = false; | |
1666 | mpz_clear (t); | |
1667 | return ret; | |
1668 | } | |
1669 | ||
1670 | /* Print a generic value V to FP (name FILENAME), preceded by a space, | |
5188b973 PM |
1671 | for type TYPE, LONG_BITS bits per long, printing " IGNORE" instead |
1672 | if IGNORE. */ | |
ffb536d0 JM |
1673 | |
1674 | static void | |
1675 | output_generic_value (FILE *fp, const char *filename, const generic_value *v, | |
5188b973 | 1676 | bool ignore, arg_ret_type type, int long_bits) |
ffb536d0 JM |
1677 | { |
1678 | if (ignore) | |
1679 | { | |
1680 | if (fputs (" IGNORE", fp) < 0) | |
1681 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
1682 | return; | |
1683 | } | |
1684 | assert (v->type == generic_arg_ret_type (type)); | |
1685 | const char *suffix; | |
1686 | switch (type) | |
1687 | { | |
1688 | case type_fp: | |
5188b973 | 1689 | suffix = ""; |
ffb536d0 JM |
1690 | break; |
1691 | ||
1692 | case type_int: | |
1693 | suffix = ""; | |
1694 | break; | |
1695 | ||
1696 | case type_long: | |
1697 | suffix = "L"; | |
1698 | break; | |
1699 | ||
1700 | case type_long_long: | |
1701 | suffix = "LL"; | |
1702 | break; | |
1703 | ||
1704 | default: | |
1705 | abort (); | |
1706 | } | |
1707 | switch (v->type) | |
1708 | { | |
1709 | case gtype_fp: | |
1710 | if (mpfr_inf_p (v->value.f)) | |
1711 | { | |
1712 | if (fputs ((mpfr_signbit (v->value.f) | |
1713 | ? " minus_infty" : " plus_infty"), fp) < 0) | |
1714 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
1715 | } | |
1716 | else | |
1717 | { | |
1718 | assert (mpfr_number_p (v->value.f)); | |
1719 | if (mpfr_fprintf (fp, " %Ra%s", v->value.f, suffix) < 0) | |
1720 | error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); | |
1721 | } | |
1722 | break; | |
1723 | ||
1724 | case gtype_int: ; | |
1725 | int bits = int_type_bits (type, long_bits); | |
1726 | mpz_t tmp; | |
1727 | mpz_init (tmp); | |
1728 | mpz_ui_pow_ui (tmp, 2, bits - 1); | |
1729 | mpz_neg (tmp, tmp); | |
1730 | if (mpz_cmp (v->value.i, tmp) == 0) | |
1731 | { | |
1732 | mpz_add_ui (tmp, tmp, 1); | |
1733 | if (mpfr_fprintf (fp, " (%Zd%s-1)", tmp, suffix) < 0) | |
1734 | error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); | |
1735 | } | |
1736 | else | |
1737 | { | |
1738 | if (mpfr_fprintf (fp, " %Zd%s", v->value.i, suffix) < 0) | |
1739 | error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename); | |
1740 | } | |
1741 | mpz_clear (tmp); | |
1742 | break; | |
1743 | ||
1744 | default: | |
1745 | abort (); | |
1746 | } | |
1747 | } | |
1748 | ||
8e554659 JM |
1749 | /* Generate test output to FP (name FILENAME) for test function TF |
1750 | (rounding results to a narrower type if NARROW), input test IT, | |
1751 | choice of input values INPUTS. */ | |
ffb536d0 JM |
1752 | |
1753 | static void | |
1754 | output_for_one_input_case (FILE *fp, const char *filename, test_function *tf, | |
8e554659 | 1755 | bool narrow, input_test *it, generic_value *inputs) |
ffb536d0 JM |
1756 | { |
1757 | bool long_bits_matters = false; | |
1758 | bool fits_long32 = true; | |
1759 | for (size_t i = 0; i < tf->num_args; i++) | |
1760 | { | |
1761 | generic_value_type gtype = generic_arg_ret_type (tf->arg_types[i]); | |
1762 | assert (inputs[i].type == gtype); | |
1763 | if (gtype == gtype_int) | |
1764 | { | |
1765 | bool fits_64 = int_fits_type (inputs[i].value.i, tf->arg_types[i], | |
1766 | 64); | |
1767 | if (!fits_64) | |
1768 | return; | |
1769 | if (tf->arg_types[i] == type_long | |
1770 | && !int_fits_type (inputs[i].value.i, tf->arg_types[i], 32)) | |
1771 | { | |
1772 | long_bits_matters = true; | |
1773 | fits_long32 = false; | |
1774 | } | |
1775 | } | |
1776 | } | |
1777 | generic_value generic_outputs[MAX_NRET]; | |
c6af2d89 | 1778 | calc_generic_results (generic_outputs, inputs, &tf->calc, rm_towardzero); |
ffb536d0 JM |
1779 | bool ignore_output_long32[MAX_NRET] = { false }; |
1780 | bool ignore_output_long64[MAX_NRET] = { false }; | |
1781 | for (size_t i = 0; i < tf->num_ret; i++) | |
1782 | { | |
1783 | assert (generic_outputs[i].type | |
1784 | == generic_arg_ret_type (tf->ret_types[i])); | |
1785 | switch (generic_outputs[i].type) | |
1786 | { | |
1787 | case gtype_fp: | |
1788 | if (!mpfr_number_p (generic_outputs[i].value.f)) | |
1789 | goto out; /* Result is NaN or exact infinity. */ | |
1790 | break; | |
1791 | ||
1792 | case gtype_int: | |
1793 | ignore_output_long32[i] = !int_fits_type (generic_outputs[i].value.i, | |
1794 | tf->ret_types[i], 32); | |
1795 | ignore_output_long64[i] = !int_fits_type (generic_outputs[i].value.i, | |
1796 | tf->ret_types[i], 64); | |
1797 | if (ignore_output_long32[i] != ignore_output_long64[i]) | |
1798 | long_bits_matters = true; | |
1799 | break; | |
1800 | ||
1801 | default: | |
1802 | abort (); | |
1803 | } | |
1804 | } | |
1805 | /* Iterate over relevant sizes of long and floating-point formats. */ | |
1806 | for (int long_bits = 32; long_bits <= 64; long_bits += 32) | |
1807 | { | |
1808 | if (long_bits == 32 && !fits_long32) | |
1809 | continue; | |
1810 | if (long_bits == 64 && !long_bits_matters) | |
1811 | continue; | |
1812 | const char *long_cond; | |
1813 | if (long_bits_matters) | |
1814 | long_cond = (long_bits == 32 ? ":long32" : ":long64"); | |
1815 | else | |
1816 | long_cond = ""; | |
1817 | bool *ignore_output = (long_bits == 32 | |
1818 | ? ignore_output_long32 | |
1819 | : ignore_output_long64); | |
1820 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) | |
1821 | { | |
1822 | bool fits = true; | |
1823 | mpfr_t res[rm_num_modes]; | |
1824 | unsigned int exc_before[rm_num_modes]; | |
1825 | unsigned int exc_after[rm_num_modes]; | |
8e554659 JM |
1826 | bool have_fp_arg = false; |
1827 | int max_exp = 0; | |
1828 | int num_ones = 0; | |
1829 | int min_exp = 0; | |
1830 | int max_prec = 0; | |
ffb536d0 JM |
1831 | for (size_t i = 0; i < tf->num_args; i++) |
1832 | { | |
1833 | if (inputs[i].type == gtype_fp) | |
f889953b | 1834 | { |
8e554659 JM |
1835 | if (narrow) |
1836 | { | |
1837 | if (mpfr_zero_p (inputs[i].value.f)) | |
1838 | continue; | |
1839 | assert (mpfr_regular_p (inputs[i].value.f)); | |
1840 | int this_exp, this_num_ones, this_min_exp, this_prec; | |
1841 | mpz_t tmp; | |
1842 | mpz_init (tmp); | |
1843 | mpfr_exp_t e = mpfr_get_z_2exp (tmp, inputs[i].value.f); | |
1844 | if (mpz_sgn (tmp) < 0) | |
1845 | mpz_neg (tmp, tmp); | |
1846 | size_t bits = mpz_sizeinbase (tmp, 2); | |
1847 | mp_bitcnt_t tz = mpz_scan1 (tmp, 0); | |
1848 | this_min_exp = e + tz; | |
1849 | this_prec = bits - tz; | |
1850 | assert (this_prec > 0); | |
1851 | this_exp = this_min_exp + this_prec - 1; | |
1852 | assert (this_exp | |
1853 | == mpfr_get_exp (inputs[i].value.f) - 1); | |
1854 | this_num_ones = 1; | |
1855 | while ((size_t) this_num_ones < bits | |
1856 | && mpz_tstbit (tmp, bits - 1 - this_num_ones)) | |
1857 | this_num_ones++; | |
1858 | mpz_clear (tmp); | |
1859 | if (have_fp_arg) | |
1860 | { | |
1861 | if (this_exp > max_exp | |
1862 | || (this_exp == max_exp | |
1863 | && this_num_ones > num_ones)) | |
1864 | { | |
1865 | max_exp = this_exp; | |
1866 | num_ones = this_num_ones; | |
1867 | } | |
1868 | if (this_min_exp < min_exp) | |
1869 | min_exp = this_min_exp; | |
1870 | if (this_prec > max_prec) | |
1871 | max_prec = this_prec; | |
1872 | } | |
1873 | else | |
1874 | { | |
1875 | max_exp = this_exp; | |
1876 | num_ones = this_num_ones; | |
1877 | min_exp = this_min_exp; | |
1878 | max_prec = this_prec; | |
1879 | } | |
1880 | have_fp_arg = true; | |
1881 | } | |
1882 | else | |
1883 | { | |
1884 | round_real (res, exc_before, exc_after, | |
1885 | inputs[i].value.f, f); | |
1886 | if (!mpfr_equal_p (res[rm_tonearest], inputs[i].value.f)) | |
1887 | fits = false; | |
1888 | for (rounding_mode m = rm_first_mode; | |
1889 | m < rm_num_modes; | |
1890 | m++) | |
1891 | mpfr_clear (res[m]); | |
1892 | if (!fits) | |
1893 | break; | |
1894 | } | |
f889953b | 1895 | } |
ffb536d0 JM |
1896 | } |
1897 | if (!fits) | |
1898 | continue; | |
8e554659 JM |
1899 | /* The inputs fit this type if required to do so, so compute |
1900 | the ideal outputs and exceptions. */ | |
ffb536d0 JM |
1901 | mpfr_t all_res[MAX_NRET][rm_num_modes]; |
1902 | unsigned int all_exc_before[MAX_NRET][rm_num_modes]; | |
1903 | unsigned int all_exc_after[MAX_NRET][rm_num_modes]; | |
1904 | unsigned int merged_exc_before[rm_num_modes] = { 0 }; | |
1905 | unsigned int merged_exc_after[rm_num_modes] = { 0 }; | |
1906 | /* For functions not exactly determined, track whether | |
1907 | underflow is required (some result is inexact, and | |
1908 | magnitude does not exceed the greatest magnitude | |
1909 | subnormal), and permitted (not an exact zero, and | |
1910 | magnitude does not exceed the least magnitude | |
1911 | normal). */ | |
1912 | bool must_underflow = false; | |
1913 | bool may_underflow = false; | |
1914 | for (size_t i = 0; i < tf->num_ret; i++) | |
1915 | { | |
1916 | switch (generic_outputs[i].type) | |
1917 | { | |
1918 | case gtype_fp: | |
1919 | round_real (all_res[i], all_exc_before[i], all_exc_after[i], | |
1920 | generic_outputs[i].value.f, f); | |
1921 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) | |
1922 | { | |
1923 | merged_exc_before[m] |= all_exc_before[i][m]; | |
1924 | merged_exc_after[m] |= all_exc_after[i][m]; | |
1925 | if (!tf->exact) | |
1926 | { | |
1927 | must_underflow | |
1928 | |= ((all_exc_before[i][m] | |
1929 | & (1U << exc_inexact)) != 0 | |
1930 | && (mpfr_cmpabs (generic_outputs[i].value.f, | |
1931 | fp_formats[f].subnorm_max) | |
1932 | <= 0)); | |
1933 | may_underflow | |
1934 | |= (!mpfr_zero_p (generic_outputs[i].value.f) | |
046651c1 JM |
1935 | && (mpfr_cmpabs (generic_outputs[i].value.f, |
1936 | fp_formats[f].min_plus_half) | |
1937 | <= 0)); | |
ffb536d0 | 1938 | } |
c6af2d89 JM |
1939 | /* If the result is an exact zero, the sign may |
1940 | depend on the rounding mode, so recompute it | |
1941 | directly in that mode. */ | |
1942 | if (mpfr_zero_p (all_res[i][m]) | |
1943 | && (all_exc_before[i][m] & (1U << exc_inexact)) == 0) | |
1944 | { | |
1945 | generic_value outputs_rm[MAX_NRET]; | |
1946 | calc_generic_results (outputs_rm, inputs, | |
1947 | &tf->calc, m); | |
1948 | assert_exact (mpfr_set (all_res[i][m], | |
1949 | outputs_rm[i].value.f, | |
1950 | MPFR_RNDN)); | |
1951 | for (size_t j = 0; j < tf->num_ret; j++) | |
1952 | generic_value_free (&outputs_rm[j]); | |
1953 | } | |
ffb536d0 JM |
1954 | } |
1955 | break; | |
1956 | ||
1957 | case gtype_int: | |
1958 | if (ignore_output[i]) | |
1959 | for (rounding_mode m = rm_first_mode; | |
1960 | m < rm_num_modes; | |
1961 | m++) | |
1962 | { | |
1963 | merged_exc_before[m] |= 1U << exc_invalid; | |
1964 | merged_exc_after[m] |= 1U << exc_invalid; | |
1965 | } | |
1966 | break; | |
1967 | ||
1968 | default: | |
1969 | abort (); | |
1970 | } | |
1971 | } | |
1972 | assert (may_underflow || !must_underflow); | |
1973 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) | |
1974 | { | |
1975 | bool before_after_matters | |
1976 | = tf->exact && merged_exc_before[m] != merged_exc_after[m]; | |
aa97dee1 | 1977 | if (before_after_matters) |
ffb536d0 | 1978 | { |
aa97dee1 JM |
1979 | assert ((merged_exc_before[m] ^ merged_exc_after[m]) |
1980 | == (1U << exc_underflow)); | |
1981 | assert ((merged_exc_before[m] & (1U << exc_underflow)) != 0); | |
1982 | } | |
1983 | unsigned int merged_exc = merged_exc_before[m]; | |
8e554659 JM |
1984 | if (narrow) |
1985 | { | |
1986 | if (fprintf (fp, "= %s %s %s%s:arg_fmt(%d,%d,%d,%d)", | |
1987 | tf->name, rounding_modes[m].name, | |
1988 | fp_formats[f].name, long_cond, max_exp, | |
1989 | num_ones, min_exp, max_prec) < 0) | |
1990 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
1991 | } | |
1992 | else | |
1993 | { | |
1994 | if (fprintf (fp, "= %s %s %s%s", tf->name, | |
1995 | rounding_modes[m].name, fp_formats[f].name, | |
1996 | long_cond) < 0) | |
1997 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
1998 | } | |
aa97dee1 JM |
1999 | /* Print inputs. */ |
2000 | for (size_t i = 0; i < tf->num_args; i++) | |
2001 | output_generic_value (fp, filename, &inputs[i], false, | |
5188b973 | 2002 | tf->arg_types[i], long_bits); |
aa97dee1 JM |
2003 | if (fputs (" :", fp) < 0) |
2004 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
2005 | /* Print outputs. */ | |
2006 | bool must_erange = false; | |
08f7b95d | 2007 | bool some_underflow_zero = false; |
aa97dee1 JM |
2008 | for (size_t i = 0; i < tf->num_ret; i++) |
2009 | { | |
2010 | generic_value g; | |
2011 | g.type = generic_outputs[i].type; | |
2012 | switch (g.type) | |
ffb536d0 | 2013 | { |
aa97dee1 JM |
2014 | case gtype_fp: |
2015 | if (mpfr_inf_p (all_res[i][m]) | |
2016 | && (all_exc_before[i][m] | |
2017 | & (1U << exc_overflow)) != 0) | |
2018 | must_erange = true; | |
2019 | if (mpfr_zero_p (all_res[i][m]) | |
2020 | && (tf->exact | |
2021 | || mpfr_zero_p (all_res[i][rm_tonearest])) | |
2022 | && (all_exc_before[i][m] | |
2023 | & (1U << exc_underflow)) != 0) | |
2024 | must_erange = true; | |
08f7b95d JM |
2025 | if (mpfr_zero_p (all_res[i][rm_towardzero]) |
2026 | && (all_exc_before[i][m] | |
2027 | & (1U << exc_underflow)) != 0) | |
2028 | some_underflow_zero = true; | |
aa97dee1 JM |
2029 | mpfr_init2 (g.value.f, fp_formats[f].mant_dig); |
2030 | assert_exact (mpfr_set (g.value.f, all_res[i][m], | |
2031 | MPFR_RNDN)); | |
2032 | break; | |
ffb536d0 | 2033 | |
aa97dee1 JM |
2034 | case gtype_int: |
2035 | mpz_init (g.value.i); | |
2036 | mpz_set (g.value.i, generic_outputs[i].value.i); | |
2037 | break; | |
ffb536d0 | 2038 | |
aa97dee1 JM |
2039 | default: |
2040 | abort (); | |
ffb536d0 | 2041 | } |
aa97dee1 | 2042 | output_generic_value (fp, filename, &g, ignore_output[i], |
5188b973 | 2043 | tf->ret_types[i], long_bits); |
aa97dee1 JM |
2044 | generic_value_free (&g); |
2045 | } | |
2046 | if (fputs (" :", fp) < 0) | |
2047 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
2048 | /* Print miscellaneous flags (passed through from | |
2049 | input). */ | |
2050 | for (size_t i = 0; i < it->num_flags; i++) | |
2051 | switch (it->flags[i].type) | |
2052 | { | |
2053 | case flag_no_test_inline: | |
863893ec | 2054 | case flag_ignore_zero_inf_sign: |
aa97dee1 JM |
2055 | case flag_xfail: |
2056 | if (fprintf (fp, " %s%s", | |
2057 | input_flags[it->flags[i].type], | |
2058 | (it->flags[i].cond | |
2059 | ? it->flags[i].cond | |
2060 | : "")) < 0) | |
2061 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2062 | filename); | |
2063 | break; | |
2064 | case flag_xfail_rounding: | |
2065 | if (m != rm_tonearest) | |
2066 | if (fprintf (fp, " xfail%s", | |
2067 | (it->flags[i].cond | |
2068 | ? it->flags[i].cond | |
2069 | : "")) < 0) | |
2070 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2071 | filename); | |
2072 | break; | |
2073 | default: | |
2074 | break; | |
2075 | } | |
08f7b95d JM |
2076 | /* For the ibm128 format, expect incorrect overflowing |
2077 | results in rounding modes other than to nearest; | |
2078 | likewise incorrect results where the result may | |
2079 | underflow to 0. */ | |
2080 | if (f == fp_ldbl_128ibm | |
2081 | && m != rm_tonearest | |
2082 | && (some_underflow_zero | |
2083 | || (merged_exc_before[m] & (1U << exc_overflow)) != 0)) | |
2084 | if (fputs (" xfail:ibm128-libgcc", fp) < 0) | |
2085 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
aa97dee1 JM |
2086 | /* Print exception flags and compute errno |
2087 | expectations where not already computed. */ | |
2088 | bool may_edom = false; | |
2089 | bool must_edom = false; | |
2090 | bool may_erange = must_erange || may_underflow; | |
2091 | for (fp_exception e = exc_first_exception; | |
2092 | e < exc_num_exceptions; | |
2093 | e++) | |
2094 | { | |
2095 | bool expect_e = (merged_exc & (1U << e)) != 0; | |
2096 | bool e_optional = false; | |
2097 | switch (e) | |
2098 | { | |
2099 | case exc_divbyzero: | |
2100 | if (expect_e) | |
2101 | may_erange = must_erange = true; | |
2102 | break; | |
2103 | ||
2104 | case exc_inexact: | |
2105 | if (!tf->exact) | |
2106 | e_optional = true; | |
2107 | break; | |
2108 | ||
2109 | case exc_invalid: | |
2110 | if (expect_e) | |
2111 | may_edom = must_edom = true; | |
2112 | break; | |
2113 | ||
2114 | case exc_overflow: | |
2115 | if (expect_e) | |
2116 | may_erange = true; | |
2117 | break; | |
2118 | ||
2119 | case exc_underflow: | |
2120 | if (expect_e) | |
2121 | may_erange = true; | |
2122 | if (must_underflow) | |
2123 | assert (expect_e); | |
2124 | if (may_underflow && !must_underflow) | |
2125 | e_optional = true; | |
2126 | break; | |
2127 | ||
2128 | default: | |
2129 | abort (); | |
2130 | } | |
2131 | if (e_optional) | |
2132 | { | |
2133 | assert (!before_after_matters); | |
2134 | if (fprintf (fp, " %s-ok", exceptions[e]) < 0) | |
2135 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2136 | filename); | |
2137 | } | |
2138 | else | |
2139 | { | |
2140 | if (expect_e) | |
2141 | if (fprintf (fp, " %s", exceptions[e]) < 0) | |
ffb536d0 JM |
2142 | error (EXIT_FAILURE, errno, "write to '%s'", |
2143 | filename); | |
aa97dee1 JM |
2144 | if (before_after_matters && e == exc_underflow) |
2145 | if (fputs (":before-rounding", fp) < 0) | |
2146 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2147 | filename); | |
2148 | for (int after = 0; after <= 1; after++) | |
ffb536d0 | 2149 | { |
aa97dee1 JM |
2150 | bool expect_e_here = expect_e; |
2151 | if (after == 1 && (!before_after_matters | |
2152 | || e != exc_underflow)) | |
2153 | continue; | |
2154 | const char *after_cond; | |
2155 | if (before_after_matters && e == exc_underflow) | |
2156 | { | |
2157 | after_cond = (after | |
2158 | ? ":after-rounding" | |
2159 | : ":before-rounding"); | |
2160 | expect_e_here = !after; | |
2161 | } | |
2162 | else | |
2163 | after_cond = ""; | |
ffb536d0 | 2164 | input_flag_type okflag; |
aa97dee1 | 2165 | okflag = (expect_e_here |
ffb536d0 JM |
2166 | ? flag_missing_first |
2167 | : flag_spurious_first) + e; | |
2168 | for (size_t i = 0; i < it->num_flags; i++) | |
2169 | if (it->flags[i].type == okflag) | |
aa97dee1 | 2170 | if (fprintf (fp, " %s-ok%s%s", |
ffb536d0 JM |
2171 | exceptions[e], |
2172 | (it->flags[i].cond | |
2173 | ? it->flags[i].cond | |
aa97dee1 | 2174 | : ""), after_cond) < 0) |
ffb536d0 JM |
2175 | error (EXIT_FAILURE, errno, "write to '%s'", |
2176 | filename); | |
2177 | } | |
2178 | } | |
aa97dee1 JM |
2179 | } |
2180 | /* Print errno expectations. */ | |
2181 | if (tf->complex_fn) | |
2182 | { | |
2183 | must_edom = false; | |
2184 | must_erange = false; | |
2185 | } | |
2186 | if (may_edom && !must_edom) | |
2187 | { | |
2188 | if (fputs (" errno-edom-ok", fp) < 0) | |
2189 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2190 | filename); | |
2191 | } | |
2192 | else | |
2193 | { | |
2194 | if (must_edom) | |
2195 | if (fputs (" errno-edom", fp) < 0) | |
2196 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2197 | filename); | |
2198 | input_flag_type okflag = (must_edom | |
2199 | ? flag_missing_errno | |
2200 | : flag_spurious_errno); | |
2201 | for (size_t i = 0; i < it->num_flags; i++) | |
2202 | if (it->flags[i].type == okflag) | |
2203 | if (fprintf (fp, " errno-edom-ok%s", | |
2204 | (it->flags[i].cond | |
2205 | ? it->flags[i].cond | |
2206 | : "")) < 0) | |
ffb536d0 JM |
2207 | error (EXIT_FAILURE, errno, "write to '%s'", |
2208 | filename); | |
aa97dee1 JM |
2209 | } |
2210 | if (before_after_matters) | |
2211 | assert (may_erange && !must_erange); | |
2212 | if (may_erange && !must_erange) | |
2213 | { | |
2214 | if (fprintf (fp, " errno-erange-ok%s", | |
2215 | (before_after_matters | |
2216 | ? ":before-rounding" | |
2217 | : "")) < 0) | |
2218 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2219 | filename); | |
2220 | } | |
2221 | if (before_after_matters || !(may_erange && !must_erange)) | |
2222 | { | |
2223 | if (must_erange) | |
2224 | if (fputs (" errno-erange", fp) < 0) | |
2225 | error (EXIT_FAILURE, errno, "write to '%s'", | |
2226 | filename); | |
2227 | input_flag_type okflag = (must_erange | |
2228 | ? flag_missing_errno | |
2229 | : flag_spurious_errno); | |
2230 | for (size_t i = 0; i < it->num_flags; i++) | |
2231 | if (it->flags[i].type == okflag) | |
2232 | if (fprintf (fp, " errno-erange-ok%s%s", | |
2233 | (it->flags[i].cond | |
2234 | ? it->flags[i].cond | |
2235 | : ""), | |
2236 | (before_after_matters | |
2237 | ? ":after-rounding" | |
2238 | : "")) < 0) | |
ffb536d0 JM |
2239 | error (EXIT_FAILURE, errno, "write to '%s'", |
2240 | filename); | |
ffb536d0 | 2241 | } |
aa97dee1 JM |
2242 | if (putc ('\n', fp) < 0) |
2243 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
ffb536d0 JM |
2244 | } |
2245 | for (size_t i = 0; i < tf->num_ret; i++) | |
2246 | { | |
2247 | if (generic_outputs[i].type == gtype_fp) | |
2248 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) | |
2249 | mpfr_clear (all_res[i][m]); | |
2250 | } | |
2251 | } | |
2252 | } | |
2253 | out: | |
2254 | for (size_t i = 0; i < tf->num_ret; i++) | |
2255 | generic_value_free (&generic_outputs[i]); | |
2256 | } | |
2257 | ||
8e554659 JM |
2258 | /* Generate test output data for FUNCTION to FILENAME. The function |
2259 | is interpreted as rounding its results to a narrower type if | |
2260 | NARROW. */ | |
ffb536d0 JM |
2261 | |
2262 | static void | |
8e554659 | 2263 | generate_output (const char *function, bool narrow, const char *filename) |
ffb536d0 JM |
2264 | { |
2265 | FILE *fp = fopen (filename, "w"); | |
2266 | if (fp == NULL) | |
2267 | error (EXIT_FAILURE, errno, "open '%s'", filename); | |
2268 | for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) | |
2269 | { | |
2270 | test_function *tf = &test_functions[i]; | |
4f1bc131 JM |
2271 | if (strcmp (tf->name, function) != 0) |
2272 | continue; | |
ffb536d0 JM |
2273 | for (size_t j = 0; j < tf->num_tests; j++) |
2274 | { | |
2275 | input_test *it = &tf->tests[j]; | |
2276 | if (fputs (it->line, fp) < 0) | |
2277 | error (EXIT_FAILURE, errno, "write to '%s'", filename); | |
2278 | for (size_t k = 0; k < it->num_input_cases; k++) | |
8e554659 JM |
2279 | output_for_one_input_case (fp, filename, tf, narrow, |
2280 | it, it->inputs[k]); | |
ffb536d0 JM |
2281 | } |
2282 | } | |
2283 | if (fclose (fp) != 0) | |
2284 | error (EXIT_FAILURE, errno, "close '%s'", filename); | |
2285 | } | |
2286 | ||
2287 | int | |
2288 | main (int argc, char **argv) | |
2289 | { | |
8e554659 JM |
2290 | if (argc != 4 |
2291 | && !(argc == 5 && strcmp (argv[1], "--narrow") == 0)) | |
4f1bc131 | 2292 | error (EXIT_FAILURE, 0, |
8e554659 JM |
2293 | "usage: gen-auto-libm-tests [--narrow] <input> <func> <output>"); |
2294 | bool narrow; | |
ffb536d0 | 2295 | const char *input_filename = argv[1]; |
4f1bc131 JM |
2296 | const char *function = argv[2]; |
2297 | const char *output_filename = argv[3]; | |
8e554659 JM |
2298 | if (argc == 4) |
2299 | { | |
2300 | narrow = false; | |
2301 | input_filename = argv[1]; | |
2302 | function = argv[2]; | |
2303 | output_filename = argv[3]; | |
2304 | } | |
2305 | else | |
2306 | { | |
2307 | narrow = true; | |
2308 | input_filename = argv[2]; | |
2309 | function = argv[3]; | |
2310 | output_filename = argv[4]; | |
2311 | } | |
ffb536d0 JM |
2312 | init_fp_formats (); |
2313 | read_input (input_filename); | |
8e554659 | 2314 | generate_output (function, narrow, output_filename); |
ffb536d0 JM |
2315 | exit (EXIT_SUCCESS); |
2316 | } |