1 | /* Generate expected output for libm tests with MPFR and MPC. |
2 | Copyright (C) 2013-2022 Free Software Foundation, Inc. |
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 | <https://www.gnu.org/licenses/>. */ |
18 | |
19 | /* Compile this program as: |
20 | |
21 | gcc -std=gnu11 -O2 -Wall -Wextra gen-auto-libm-tests.c -lmpc -lmpfr -lgmp \ |
22 | -o gen-auto-libm-tests |
23 | |
24 | (use of current MPC and MPFR versions recommended) and run it as: |
25 | |
26 | gen-auto-libm-tests auto-libm-test-in <func> auto-libm-test-out-<func> |
27 | |
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 | |
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 "ignore-zero-inf-sign" indicates the the signs of |
96 | zero and infinite results should be ignored; "xfail" indicates the |
97 | test is disabled as expected to produce incorrect results, |
98 | "xfail-rounding" indicates the test is disabled only in rounding |
99 | modes other than round-to-nearest. Otherwise, test flags are of |
100 | the form "spurious-<exception>" and "missing-<exception>", for any |
101 | exception ("overflow", "underflow", "inexact", "invalid", |
102 | "divbyzero"), "spurious-errno" and "missing-errno", to indicate |
103 | when tests are expected to deviate from the exception and errno |
104 | settings corresponding to the mathematical results. "xfail", |
105 | "xfail-rounding", "spurious-" and "missing-" flags should be |
106 | accompanied by a comment referring to an open bug in glibc |
107 | Bugzilla. |
108 | |
109 | The output file auto-libm-test-out-<func> contains the test lines from |
110 | auto-libm-test-in, and, after the line for a given test, some |
111 | number of output test lines. An output test line is of the form "= |
112 | function rounding-mode format input1 input2 ... : output1 output2 |
113 | ... : flags". rounding-mode is "tonearest", "towardzero", "upward" |
114 | or "downward". format is a name from the floating_point_formats |
115 | array, possibly followed by a sequence of ":flag" for flags from |
116 | "long32" and "long64". Inputs and outputs are specified as hex |
117 | floats with the required suffix for the floating-point type, or |
118 | plus_infty or minus_infty for infinite expected results, or as |
119 | integer constant expressions (not necessarily with the right type) |
120 | or IGNORE for integer inputs and outputs. Flags are |
121 | "ignore-zero-info-sign", "xfail", "<exception>", |
122 | "<exception>-ok", "errno-<value>", "errno-<value>-ok", which may be |
123 | unconditional or conditional. "<exception>" indicates that a |
124 | correct result means the given exception should be raised. |
125 | "errno-<value>" indicates that a correct result means errno should |
126 | be set to the given value. "-ok" means not to test for the given |
127 | exception or errno value (whether because it was marked as possibly |
128 | missing or spurious, or because the calculation of correct results |
129 | indicated it was optional). Conditions "before-rounding" and |
130 | "after-rounding" indicate tests where expectations for underflow |
131 | exceptions depend on how the architecture detects tininess. |
132 | |
133 | For functions rounding their results to a narrower type, the format |
134 | given on an output test line is the result format followed by |
135 | information about the requirements on the argument format to be |
136 | able to represent the argument values, in the form |
137 | "format:arg_fmt(MAX_EXP,NUM_ONES,MIN_EXP,MAX_PREC)". Instead of |
138 | separate lines for separate argument formats, an output test line |
139 | relates to all argument formats that can represent the values. |
140 | MAX_EXP is the maximum exponent of a nonzero bit in any argument, |
141 | or 0 if all arguments are zero; NUM_ONES is the maximum number of |
142 | leading bits with value 1 in an argument with exponent MAX_EXP, or |
143 | 0 if all arguments are zero; MIN_EXP is the minimum exponent of a |
144 | nonzero bit in any argument, or 0 if all arguments are zero; |
145 | MAX_PREC is the maximum precision required to represent all |
146 | arguments, or 0 if all arguments are zero. */ |
147 | |
148 | #define _GNU_SOURCE |
149 | |
150 | #include <assert.h> |
151 | #include <ctype.h> |
152 | #include <errno.h> |
153 | #include <error.h> |
154 | #include <stdbool.h> |
155 | #include <stdint.h> |
156 | #include <stdio.h> |
157 | #include <stdlib.h> |
158 | #include <string.h> |
159 | |
160 | #include <gmp.h> |
161 | #include <mpfr.h> |
162 | #include <mpc.h> |
163 | |
164 | #define ARRAY_SIZE(A) (sizeof (A) / sizeof ((A)[0])) |
165 | |
166 | /* The supported floating-point formats. */ |
167 | typedef enum |
168 | { |
169 | fp_flt_32, |
170 | fp_dbl_64, |
171 | fp_ldbl_96_intel, |
172 | fp_ldbl_96_m68k, |
173 | fp_ldbl_128, |
174 | fp_ldbl_128ibm, |
175 | fp_num_formats, |
176 | fp_first_format = 0 |
177 | } fp_format; |
178 | |
179 | /* Structure describing a single floating-point format. */ |
180 | typedef struct |
181 | { |
182 | /* The name of the format. */ |
183 | const char *name; |
184 | /* A string for the largest normal value, or NULL for IEEE formats |
185 | where this can be determined automatically. */ |
186 | const char *max_string; |
187 | /* The number of mantissa bits. */ |
188 | int mant_dig; |
189 | /* The least N such that 2^N overflows. */ |
190 | int max_exp; |
191 | /* One more than the least N such that 2^N is normal. */ |
192 | int min_exp; |
193 | /* The largest normal value. */ |
194 | mpfr_t max; |
195 | /* The value 0.5ulp above the least positive normal value. */ |
196 | mpfr_t min_plus_half; |
197 | /* The least positive normal value, 2^(MIN_EXP-1). */ |
198 | mpfr_t min; |
199 | /* The greatest positive subnormal value. */ |
200 | mpfr_t subnorm_max; |
201 | /* The least positive subnormal value, 2^(MIN_EXP-MANT_DIG). */ |
202 | mpfr_t subnorm_min; |
203 | } fp_format_desc; |
204 | |
205 | /* List of floating-point formats, in the same order as the fp_format |
206 | enumeration. */ |
207 | static fp_format_desc fp_formats[fp_num_formats] = |
208 | { |
209 | { "binary32" , NULL, 24, 128, -125, {}, {}, {}, {}, {} }, |
210 | { "binary64" , NULL, 53, 1024, -1021, {}, {}, {}, {}, {} }, |
211 | { "intel96" , NULL, 64, 16384, -16381, {}, {}, {}, {}, {} }, |
212 | { "m68k96" , NULL, 64, 16384, -16382, {}, {}, {}, {}, {} }, |
213 | { "binary128" , NULL, 113, 16384, -16381, {}, {}, {}, {}, {} }, |
214 | { "ibm128" , "0x1.fffffffffffff7ffffffffffff8p+1023" , |
215 | 106, 1024, -968, {}, {}, {}, {}, {} }, |
216 | }; |
217 | |
218 | /* The supported rounding modes. */ |
219 | typedef enum |
220 | { |
221 | rm_downward, |
222 | rm_tonearest, |
223 | rm_towardzero, |
224 | rm_upward, |
225 | rm_num_modes, |
226 | rm_first_mode = 0 |
227 | } rounding_mode; |
228 | |
229 | /* Structure describing a single rounding mode. */ |
230 | typedef struct |
231 | { |
232 | /* The name of the rounding mode. */ |
233 | const char *name; |
234 | /* The MPFR rounding mode. */ |
235 | mpfr_rnd_t mpfr_mode; |
236 | /* The MPC rounding mode. */ |
237 | mpc_rnd_t mpc_mode; |
238 | } rounding_mode_desc; |
239 | |
240 | /* List of rounding modes, in the same order as the rounding_mode |
241 | enumeration. */ |
242 | static const rounding_mode_desc rounding_modes[rm_num_modes] = |
243 | { |
244 | { "downward" , MPFR_RNDD, MPC_RNDDD }, |
245 | { "tonearest" , MPFR_RNDN, MPC_RNDNN }, |
246 | { "towardzero" , MPFR_RNDZ, MPC_RNDZZ }, |
247 | { "upward" , MPFR_RNDU, MPC_RNDUU }, |
248 | }; |
249 | |
250 | /* The supported exceptions. */ |
251 | typedef enum |
252 | { |
253 | exc_divbyzero, |
254 | exc_inexact, |
255 | exc_invalid, |
256 | exc_overflow, |
257 | exc_underflow, |
258 | exc_num_exceptions, |
259 | exc_first_exception = 0 |
260 | } fp_exception; |
261 | |
262 | /* List of exceptions, in the same order as the fp_exception |
263 | enumeration. */ |
264 | static const char *const exceptions[exc_num_exceptions] = |
265 | { |
266 | "divbyzero" , |
267 | "inexact" , |
268 | "invalid" , |
269 | "overflow" , |
270 | "underflow" , |
271 | }; |
272 | |
273 | /* The internal precision to use for most MPFR calculations, which |
274 | must be at least 2 more than the greatest precision of any |
275 | supported floating-point format. */ |
276 | static int internal_precision; |
277 | |
278 | /* A value that overflows all supported floating-point formats. */ |
279 | static mpfr_t global_max; |
280 | |
281 | /* A value that is at most half the least subnormal in any |
282 | floating-point format and so is rounded the same way as all |
283 | sufficiently small positive values. */ |
284 | static mpfr_t global_min; |
285 | |
286 | /* The maximum number of (real or integer) arguments to a function |
287 | handled by this program (complex arguments count as two real |
288 | arguments). */ |
289 | #define MAX_NARGS 4 |
290 | |
291 | /* The maximum number of (real or integer) return values from a |
292 | function handled by this program. */ |
293 | #define MAX_NRET 2 |
294 | |
295 | /* A type of a function argument or return value. */ |
296 | typedef enum |
297 | { |
298 | /* No type (not a valid argument or return value). */ |
299 | type_none, |
300 | /* A floating-point value with the type corresponding to that of |
301 | the function. */ |
302 | type_fp, |
303 | /* An integer value of type int. */ |
304 | type_int, |
305 | /* An integer value of type long. */ |
306 | type_long, |
307 | /* An integer value of type long long. */ |
308 | type_long_long, |
309 | } arg_ret_type; |
310 | |
311 | /* A type of a generic real or integer value. */ |
312 | typedef enum |
313 | { |
314 | /* No type. */ |
315 | gtype_none, |
316 | /* Floating-point (represented with MPFR). */ |
317 | gtype_fp, |
318 | /* Integer (represented with GMP). */ |
319 | gtype_int, |
320 | } generic_value_type; |
321 | |
322 | /* A generic value (argument or result). */ |
323 | typedef struct |
324 | { |
325 | /* The type of this value. */ |
326 | generic_value_type type; |
327 | /* Its value. */ |
328 | union |
329 | { |
330 | mpfr_t f; |
331 | mpz_t i; |
332 | } value; |
333 | } generic_value; |
334 | |
335 | /* A type of input flag. */ |
336 | typedef enum |
337 | { |
338 | flag_ignore_zero_inf_sign, |
339 | flag_xfail, |
340 | flag_xfail_rounding, |
341 | /* The "spurious" and "missing" flags must be in the same order as |
342 | the fp_exception enumeration. */ |
343 | flag_spurious_divbyzero, |
344 | flag_spurious_inexact, |
345 | flag_spurious_invalid, |
346 | flag_spurious_overflow, |
347 | flag_spurious_underflow, |
348 | flag_spurious_errno, |
349 | flag_missing_divbyzero, |
350 | flag_missing_inexact, |
351 | flag_missing_invalid, |
352 | flag_missing_overflow, |
353 | flag_missing_underflow, |
354 | flag_missing_errno, |
355 | num_input_flag_types, |
356 | flag_first_flag = 0, |
357 | flag_spurious_first = flag_spurious_divbyzero, |
358 | flag_missing_first = flag_missing_divbyzero |
359 | } input_flag_type; |
360 | |
361 | /* List of flags, in the same order as the input_flag_type |
362 | enumeration. */ |
363 | static const char *const input_flags[num_input_flag_types] = |
364 | { |
365 | "ignore-zero-inf-sign" , |
366 | "xfail" , |
367 | "xfail-rounding" , |
368 | "spurious-divbyzero" , |
369 | "spurious-inexact" , |
370 | "spurious-invalid" , |
371 | "spurious-overflow" , |
372 | "spurious-underflow" , |
373 | "spurious-errno" , |
374 | "missing-divbyzero" , |
375 | "missing-inexact" , |
376 | "missing-invalid" , |
377 | "missing-overflow" , |
378 | "missing-underflow" , |
379 | "missing-errno" , |
380 | }; |
381 | |
382 | /* An input flag, possibly conditional. */ |
383 | typedef struct |
384 | { |
385 | /* The type of this flag. */ |
386 | input_flag_type type; |
387 | /* The conditions on this flag, as a string ":cond1:cond2..." or |
388 | NULL. */ |
389 | const char *cond; |
390 | } input_flag; |
391 | |
392 | /* Structure describing a single test from the input file (which may |
393 | expand into many tests in the output). The choice of function, |
394 | which implies the numbers and types of arguments and results, is |
395 | implicit rather than stored in this structure (except as part of |
396 | the source line). */ |
397 | typedef struct |
398 | { |
399 | /* The text of the input line describing the test, including the |
400 | trailing newline. */ |
401 | const char *line; |
402 | /* The number of combinations of interpretations of input values for |
403 | different floating-point formats and rounding modes. */ |
404 | size_t num_input_cases; |
405 | /* The corresponding lists of inputs. */ |
406 | generic_value **inputs; |
407 | /* The number of flags for this test. */ |
408 | size_t num_flags; |
409 | /* The corresponding list of flags. */ |
410 | input_flag *flags; |
411 | /* The old output for this test. */ |
412 | const char *old_output; |
413 | } input_test; |
414 | |
415 | /* Ways to calculate a function. */ |
416 | typedef enum |
417 | { |
418 | /* MPFR function with a single argument and result. */ |
419 | mpfr_f_f, |
420 | /* MPFR function with two arguments and one result. */ |
421 | mpfr_ff_f, |
422 | /* MPFR function with three arguments and one result. */ |
423 | mpfr_fff_f, |
424 | /* MPFR function with a single argument and floating-point and |
425 | integer results. */ |
426 | mpfr_f_f1, |
427 | /* MPFR function with integer and floating-point arguments and one |
428 | result. */ |
429 | mpfr_if_f, |
430 | /* MPFR function with a single argument and two floating-point |
431 | results. */ |
432 | mpfr_f_11, |
433 | /* MPC function with a single complex argument and one real |
434 | result. */ |
435 | mpc_c_f, |
436 | /* MPC function with a single complex argument and one complex |
437 | result. */ |
438 | mpc_c_c, |
439 | /* MPC function with two complex arguments and one complex |
440 | result. */ |
441 | mpc_cc_c, |
442 | } func_calc_method; |
443 | |
444 | /* Description of how to calculate a function. */ |
445 | typedef struct |
446 | { |
447 | /* Which method is used to calculate the function. */ |
448 | func_calc_method method; |
449 | /* The specific function called. */ |
450 | union |
451 | { |
452 | int (*mpfr_f_f) (mpfr_t, const mpfr_t, mpfr_rnd_t); |
453 | int (*mpfr_ff_f) (mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t); |
454 | int (*mpfr_fff_f) (mpfr_t, const mpfr_t, const mpfr_t, const mpfr_t, |
455 | mpfr_rnd_t); |
456 | int (*mpfr_f_f1) (mpfr_t, int *, const mpfr_t, mpfr_rnd_t); |
457 | int (*mpfr_if_f) (mpfr_t, long, const mpfr_t, mpfr_rnd_t); |
458 | int (*mpfr_f_11) (mpfr_t, mpfr_t, const mpfr_t, mpfr_rnd_t); |
459 | int (*mpc_c_f) (mpfr_t, const mpc_t, mpfr_rnd_t); |
460 | int (*mpc_c_c) (mpc_t, const mpc_t, mpc_rnd_t); |
461 | int (*mpc_cc_c) (mpc_t, const mpc_t, const mpc_t, mpc_rnd_t); |
462 | } func; |
463 | } func_calc_desc; |
464 | |
465 | /* Structure describing a function handled by this program. */ |
466 | typedef struct |
467 | { |
468 | /* The name of the function. */ |
469 | const char *name; |
470 | /* The number of arguments. */ |
471 | size_t num_args; |
472 | /* The types of the arguments. */ |
473 | arg_ret_type arg_types[MAX_NARGS]; |
474 | /* The number of return values. */ |
475 | size_t num_ret; |
476 | /* The types of the return values. */ |
477 | arg_ret_type ret_types[MAX_NRET]; |
478 | /* Whether the function has exactly determined results and |
479 | exceptions. */ |
480 | bool exact; |
481 | /* Whether the function is a complex function, so errno setting is |
482 | optional. */ |
483 | bool complex_fn; |
484 | /* Whether to treat arguments given as floating-point constants as |
485 | exact only, rather than rounding them up and down to all |
486 | formats. */ |
487 | bool exact_args; |
488 | /* How to calculate this function. */ |
489 | func_calc_desc calc; |
490 | /* The number of tests allocated for this function. */ |
491 | size_t num_tests_alloc; |
492 | /* The number of tests for this function. */ |
493 | size_t num_tests; |
494 | /* The tests themselves. */ |
495 | input_test *tests; |
496 | } test_function; |
497 | |
498 | #define ARGS1(T1) 1, { T1 } |
499 | #define ARGS2(T1, T2) 2, { T1, T2 } |
500 | #define ARGS3(T1, T2, T3) 3, { T1, T2, T3 } |
501 | #define ARGS4(T1, T2, T3, T4) 4, { T1, T2, T3, T4 } |
502 | #define RET1(T1) 1, { T1 } |
503 | #define RET2(T1, T2) 2, { T1, T2 } |
504 | #define CALC(TYPE, FN) { TYPE, { .TYPE = FN } } |
505 | #define FUNC(NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC) \ |
506 | { \ |
507 | NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC, 0, 0, NULL \ |
508 | } |
509 | |
510 | #define FUNC_mpfr_f_f(NAME, MPFR_FUNC, EXACT) \ |
511 | FUNC (NAME, ARGS1 (type_fp), RET1 (type_fp), EXACT, false, false, \ |
512 | CALC (mpfr_f_f, MPFR_FUNC)) |
513 | #define FUNC_mpfr_ff_f(NAME, MPFR_FUNC, EXACT) \ |
514 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, false, \ |
515 | false, CALC (mpfr_ff_f, MPFR_FUNC)) |
516 | #define FUNC_mpfr_if_f(NAME, MPFR_FUNC, EXACT) \ |
517 | FUNC (NAME, ARGS2 (type_int, type_fp), RET1 (type_fp), EXACT, false, \ |
518 | false, CALC (mpfr_if_f, MPFR_FUNC)) |
519 | #define FUNC_mpc_c_f(NAME, MPFR_FUNC, EXACT) \ |
520 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, true, \ |
521 | false, CALC (mpc_c_f, MPFR_FUNC)) |
522 | #define FUNC_mpc_c_c(NAME, MPFR_FUNC, EXACT) \ |
523 | FUNC (NAME, ARGS2 (type_fp, type_fp), RET2 (type_fp, type_fp), EXACT, \ |
524 | true, false, CALC (mpc_c_c, MPFR_FUNC)) |
525 | |
526 | /* List of functions handled by this program. */ |
527 | static test_function test_functions[] = |
528 | { |
529 | FUNC_mpfr_f_f ("acos" , mpfr_acos, false), |
530 | FUNC_mpfr_f_f ("acosh" , mpfr_acosh, false), |
531 | FUNC_mpfr_ff_f ("add" , mpfr_add, true), |
532 | FUNC_mpfr_f_f ("asin" , mpfr_asin, false), |
533 | FUNC_mpfr_f_f ("asinh" , mpfr_asinh, false), |
534 | FUNC_mpfr_f_f ("atan" , mpfr_atan, false), |
535 | FUNC_mpfr_ff_f ("atan2" , mpfr_atan2, false), |
536 | FUNC_mpfr_f_f ("atanh" , mpfr_atanh, false), |
537 | FUNC_mpc_c_f ("cabs" , mpc_abs, false), |
538 | FUNC_mpc_c_c ("cacos" , mpc_acos, false), |
539 | FUNC_mpc_c_c ("cacosh" , mpc_acosh, false), |
540 | FUNC_mpc_c_f ("carg" , mpc_arg, false), |
541 | FUNC_mpc_c_c ("casin" , mpc_asin, false), |
542 | FUNC_mpc_c_c ("casinh" , mpc_asinh, false), |
543 | FUNC_mpc_c_c ("catan" , mpc_atan, false), |
544 | FUNC_mpc_c_c ("catanh" , mpc_atanh, false), |
545 | FUNC_mpfr_f_f ("cbrt" , mpfr_cbrt, false), |
546 | FUNC_mpc_c_c ("ccos" , mpc_cos, false), |
547 | FUNC_mpc_c_c ("ccosh" , mpc_cosh, false), |
548 | FUNC_mpc_c_c ("cexp" , mpc_exp, false), |
549 | FUNC_mpc_c_c ("clog" , mpc_log, false), |
550 | FUNC_mpc_c_c ("clog10" , mpc_log10, false), |
551 | FUNC_mpfr_f_f ("cos" , mpfr_cos, false), |
552 | FUNC_mpfr_f_f ("cosh" , mpfr_cosh, false), |
553 | FUNC ("cpow" , ARGS4 (type_fp, type_fp, type_fp, type_fp), |
554 | RET2 (type_fp, type_fp), false, true, false, |
555 | CALC (mpc_cc_c, mpc_pow)), |
556 | FUNC_mpc_c_c ("csin" , mpc_sin, false), |
557 | FUNC_mpc_c_c ("csinh" , mpc_sinh, false), |
558 | FUNC_mpc_c_c ("csqrt" , mpc_sqrt, false), |
559 | FUNC_mpc_c_c ("ctan" , mpc_tan, false), |
560 | FUNC_mpc_c_c ("ctanh" , mpc_tanh, false), |
561 | FUNC_mpfr_ff_f ("div" , mpfr_div, true), |
562 | FUNC_mpfr_f_f ("erf" , mpfr_erf, false), |
563 | FUNC_mpfr_f_f ("erfc" , mpfr_erfc, false), |
564 | FUNC_mpfr_f_f ("exp" , mpfr_exp, false), |
565 | FUNC_mpfr_f_f ("exp10" , mpfr_exp10, false), |
566 | FUNC_mpfr_f_f ("exp2" , mpfr_exp2, false), |
567 | FUNC_mpfr_f_f ("expm1" , mpfr_expm1, false), |
568 | FUNC ("fma" , ARGS3 (type_fp, type_fp, type_fp), RET1 (type_fp), |
569 | true, false, true, CALC (mpfr_fff_f, mpfr_fma)), |
570 | FUNC_mpfr_ff_f ("hypot" , mpfr_hypot, false), |
571 | FUNC_mpfr_f_f ("j0" , mpfr_j0, false), |
572 | FUNC_mpfr_f_f ("j1" , mpfr_j1, false), |
573 | FUNC_mpfr_if_f ("jn" , mpfr_jn, false), |
574 | FUNC ("lgamma" , ARGS1 (type_fp), RET2 (type_fp, type_int), false, false, |
575 | false, CALC (mpfr_f_f1, mpfr_lgamma)), |
576 | FUNC_mpfr_f_f ("log" , mpfr_log, false), |
577 | FUNC_mpfr_f_f ("log10" , mpfr_log10, false), |
578 | FUNC_mpfr_f_f ("log1p" , mpfr_log1p, false), |
579 | FUNC_mpfr_f_f ("log2" , mpfr_log2, false), |
580 | FUNC_mpfr_ff_f ("mul" , mpfr_mul, true), |
581 | FUNC_mpfr_ff_f ("pow" , mpfr_pow, false), |
582 | FUNC_mpfr_f_f ("sin" , mpfr_sin, false), |
583 | FUNC ("sincos" , ARGS1 (type_fp), RET2 (type_fp, type_fp), false, false, |
584 | false, CALC (mpfr_f_11, mpfr_sin_cos)), |
585 | FUNC_mpfr_f_f ("sinh" , mpfr_sinh, false), |
586 | FUNC_mpfr_ff_f ("sub" , mpfr_sub, true), |
587 | FUNC_mpfr_f_f ("sqrt" , mpfr_sqrt, true), |
588 | FUNC_mpfr_f_f ("tan" , mpfr_tan, false), |
589 | FUNC_mpfr_f_f ("tanh" , mpfr_tanh, false), |
590 | FUNC_mpfr_f_f ("tgamma" , mpfr_gamma, false), |
591 | FUNC_mpfr_f_f ("y0" , mpfr_y0, false), |
592 | FUNC_mpfr_f_f ("y1" , mpfr_y1, false), |
593 | FUNC_mpfr_if_f ("yn" , mpfr_yn, false), |
594 | }; |
595 | |
596 | /* Allocate memory, with error checking. */ |
597 | |
598 | static void * |
599 | xmalloc (size_t n) |
600 | { |
601 | void *p = malloc (size: n); |
602 | if (p == NULL) |
603 | error (EXIT_FAILURE, errno, format: "xmalloc failed" ); |
604 | return p; |
605 | } |
606 | |
607 | static void * |
608 | xrealloc (void *p, size_t n) |
609 | { |
610 | p = realloc (ptr: p, size: n); |
611 | if (p == NULL) |
612 | error (EXIT_FAILURE, errno, format: "xrealloc failed" ); |
613 | return p; |
614 | } |
615 | |
616 | static char * |
617 | xstrdup (const char *s) |
618 | { |
619 | char *p = strdup (s: s); |
620 | if (p == NULL) |
621 | error (EXIT_FAILURE, errno, format: "xstrdup failed" ); |
622 | return p; |
623 | } |
624 | |
625 | /* Assert that the result of an MPFR operation was exact; that is, |
626 | that the returned ternary value was 0. */ |
627 | |
628 | static void |
629 | assert_exact (int i) |
630 | { |
631 | assert (i == 0); |
632 | } |
633 | |
634 | /* Return the generic type of an argument or return value type T. */ |
635 | |
636 | static generic_value_type |
637 | generic_arg_ret_type (arg_ret_type t) |
638 | { |
639 | switch (t) |
640 | { |
641 | case type_fp: |
642 | return gtype_fp; |
643 | |
644 | case type_int: |
645 | case type_long: |
646 | case type_long_long: |
647 | return gtype_int; |
648 | |
649 | default: |
650 | abort (); |
651 | } |
652 | } |
653 | |
654 | /* Free a generic_value *V. */ |
655 | |
656 | static void |
657 | generic_value_free (generic_value *v) |
658 | { |
659 | switch (v->type) |
660 | { |
661 | case gtype_fp: |
662 | mpfr_clear (v->value.f); |
663 | break; |
664 | |
665 | case gtype_int: |
666 | mpz_clear (v->value.i); |
667 | break; |
668 | |
669 | default: |
670 | abort (); |
671 | } |
672 | } |
673 | |
674 | /* Copy a generic_value *SRC to *DEST. */ |
675 | |
676 | static void |
677 | generic_value_copy (generic_value *dest, const generic_value *src) |
678 | { |
679 | dest->type = src->type; |
680 | switch (src->type) |
681 | { |
682 | case gtype_fp: |
683 | mpfr_init (dest->value.f); |
684 | assert_exact (mpfr_set (dest->value.f, src->value.f, MPFR_RNDN)); |
685 | break; |
686 | |
687 | case gtype_int: |
688 | mpz_init (dest->value.i); |
689 | mpz_set (dest->value.i, src->value.i); |
690 | break; |
691 | |
692 | default: |
693 | abort (); |
694 | } |
695 | } |
696 | |
697 | /* Initialize data for floating-point formats. */ |
698 | |
699 | static void |
700 | init_fp_formats (void) |
701 | { |
702 | int global_max_exp = 0, global_min_subnorm_exp = 0; |
703 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) |
704 | { |
705 | if (fp_formats[f].mant_dig + 2 > internal_precision) |
706 | internal_precision = fp_formats[f].mant_dig + 2; |
707 | if (fp_formats[f].max_exp > global_max_exp) |
708 | global_max_exp = fp_formats[f].max_exp; |
709 | int min_subnorm_exp = fp_formats[f].min_exp - fp_formats[f].mant_dig; |
710 | if (min_subnorm_exp < global_min_subnorm_exp) |
711 | global_min_subnorm_exp = min_subnorm_exp; |
712 | mpfr_init2 (fp_formats[f].max, fp_formats[f].mant_dig); |
713 | if (fp_formats[f].max_string != NULL) |
714 | { |
715 | char *ep = NULL; |
716 | assert_exact (i: mpfr_strtofr (fp_formats[f].max, |
717 | fp_formats[f].max_string, |
718 | &ep, 0, MPFR_RNDN)); |
719 | assert (*ep == 0); |
720 | } |
721 | else |
722 | { |
723 | assert_exact (i: mpfr_set_ui_2exp (fp_formats[f].max, 1, |
724 | fp_formats[f].max_exp, |
725 | MPFR_RNDN)); |
726 | mpfr_nextbelow (fp_formats[f].max); |
727 | } |
728 | mpfr_init2 (fp_formats[f].min, fp_formats[f].mant_dig); |
729 | assert_exact (i: mpfr_set_ui_2exp (fp_formats[f].min, 1, |
730 | fp_formats[f].min_exp - 1, |
731 | MPFR_RNDN)); |
732 | mpfr_init2 (fp_formats[f].min_plus_half, fp_formats[f].mant_dig + 1); |
733 | assert_exact (mpfr_set (fp_formats[f].min_plus_half, |
734 | fp_formats[f].min, MPFR_RNDN)); |
735 | mpfr_nextabove (fp_formats[f].min_plus_half); |
736 | mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig); |
737 | assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min, |
738 | MPFR_RNDN)); |
739 | mpfr_nextbelow (fp_formats[f].subnorm_max); |
740 | mpfr_nextbelow (fp_formats[f].subnorm_max); |
741 | mpfr_init2 (fp_formats[f].subnorm_min, fp_formats[f].mant_dig); |
742 | assert_exact (i: mpfr_set_ui_2exp (fp_formats[f].subnorm_min, 1, |
743 | min_subnorm_exp, MPFR_RNDN)); |
744 | } |
745 | mpfr_set_default_prec (internal_precision); |
746 | mpfr_init (global_max); |
747 | assert_exact (i: mpfr_set_ui_2exp (global_max, 1, global_max_exp, MPFR_RNDN)); |
748 | mpfr_init (global_min); |
749 | assert_exact (i: mpfr_set_ui_2exp (global_min, 1, global_min_subnorm_exp - 1, |
750 | MPFR_RNDN)); |
751 | } |
752 | |
753 | /* Fill in mpfr_t values for special strings in input arguments. */ |
754 | |
755 | static size_t |
756 | special_fill_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), |
757 | fp_format format) |
758 | { |
759 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
760 | assert_exact (mpfr_set (res0, fp_formats[format].max, MPFR_RNDN)); |
761 | return 1; |
762 | } |
763 | |
764 | static size_t |
765 | special_fill_minus_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), |
766 | fp_format format) |
767 | { |
768 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
769 | assert_exact (i: mpfr_neg (res0, fp_formats[format].max, MPFR_RNDN)); |
770 | return 1; |
771 | } |
772 | |
773 | static size_t |
774 | special_fill_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), |
775 | fp_format format) |
776 | { |
777 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
778 | assert_exact (mpfr_set (res0, fp_formats[format].min, MPFR_RNDN)); |
779 | return 1; |
780 | } |
781 | |
782 | static size_t |
783 | special_fill_minus_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), |
784 | fp_format format) |
785 | { |
786 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
787 | assert_exact (i: mpfr_neg (res0, fp_formats[format].min, MPFR_RNDN)); |
788 | return 1; |
789 | } |
790 | |
791 | static size_t |
792 | special_fill_min_subnorm (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)), |
793 | fp_format format) |
794 | { |
795 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
796 | assert_exact (mpfr_set (res0, fp_formats[format].subnorm_min, MPFR_RNDN)); |
797 | return 1; |
798 | } |
799 | |
800 | static size_t |
801 | special_fill_minus_min_subnorm (mpfr_t res0, |
802 | mpfr_t res1 __attribute__ ((unused)), |
803 | fp_format format) |
804 | { |
805 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
806 | assert_exact (i: mpfr_neg (res0, fp_formats[format].subnorm_min, MPFR_RNDN)); |
807 | return 1; |
808 | } |
809 | |
810 | static size_t |
811 | special_fill_min_subnorm_p120 (mpfr_t res0, |
812 | mpfr_t res1 __attribute__ ((unused)), |
813 | fp_format format) |
814 | { |
815 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
816 | assert_exact (i: mpfr_mul_2ui (res0, fp_formats[format].subnorm_min, |
817 | 120, MPFR_RNDN)); |
818 | return 1; |
819 | } |
820 | |
821 | static size_t |
822 | special_fill_pi (mpfr_t res0, mpfr_t res1, fp_format format) |
823 | { |
824 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
825 | mpfr_const_pi (res0, MPFR_RNDU); |
826 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
827 | mpfr_const_pi (res1, MPFR_RNDD); |
828 | return 2; |
829 | } |
830 | |
831 | static size_t |
832 | special_fill_minus_pi (mpfr_t res0, mpfr_t res1, fp_format format) |
833 | { |
834 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
835 | mpfr_const_pi (res0, MPFR_RNDU); |
836 | assert_exact (i: mpfr_neg (res0, res0, MPFR_RNDN)); |
837 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
838 | mpfr_const_pi (res1, MPFR_RNDD); |
839 | assert_exact (i: mpfr_neg (res1, res1, MPFR_RNDN)); |
840 | return 2; |
841 | } |
842 | |
843 | static size_t |
844 | special_fill_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format) |
845 | { |
846 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
847 | mpfr_const_pi (res0, MPFR_RNDU); |
848 | assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN)); |
849 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
850 | mpfr_const_pi (res1, MPFR_RNDD); |
851 | assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN)); |
852 | return 2; |
853 | } |
854 | |
855 | static size_t |
856 | special_fill_minus_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format) |
857 | { |
858 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
859 | mpfr_const_pi (res0, MPFR_RNDU); |
860 | assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN)); |
861 | assert_exact (i: mpfr_neg (res0, res0, MPFR_RNDN)); |
862 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
863 | mpfr_const_pi (res1, MPFR_RNDD); |
864 | assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN)); |
865 | assert_exact (i: mpfr_neg (res1, res1, MPFR_RNDN)); |
866 | return 2; |
867 | } |
868 | |
869 | static size_t |
870 | special_fill_pi_4 (mpfr_t res0, mpfr_t res1, fp_format format) |
871 | { |
872 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
873 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); |
874 | mpfr_atan (res0, res0, MPFR_RNDU); |
875 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
876 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); |
877 | mpfr_atan (res1, res1, MPFR_RNDD); |
878 | return 2; |
879 | } |
880 | |
881 | static size_t |
882 | special_fill_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format) |
883 | { |
884 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
885 | assert_exact (i: mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN)); |
886 | mpfr_asin (res0, res0, MPFR_RNDU); |
887 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
888 | assert_exact (i: mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN)); |
889 | mpfr_asin (res1, res1, MPFR_RNDD); |
890 | return 2; |
891 | } |
892 | |
893 | static size_t |
894 | special_fill_minus_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format) |
895 | { |
896 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
897 | assert_exact (i: mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN)); |
898 | mpfr_asin (res0, res0, MPFR_RNDU); |
899 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
900 | assert_exact (i: mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN)); |
901 | mpfr_asin (res1, res1, MPFR_RNDD); |
902 | return 2; |
903 | } |
904 | |
905 | static size_t |
906 | special_fill_pi_3 (mpfr_t res0, mpfr_t res1, fp_format format) |
907 | { |
908 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
909 | assert_exact (i: mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN)); |
910 | mpfr_acos (res0, res0, MPFR_RNDU); |
911 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
912 | assert_exact (i: mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN)); |
913 | mpfr_acos (res1, res1, MPFR_RNDD); |
914 | return 2; |
915 | } |
916 | |
917 | static size_t |
918 | special_fill_2pi_3 (mpfr_t res0, mpfr_t res1, fp_format format) |
919 | { |
920 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
921 | assert_exact (i: mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN)); |
922 | mpfr_acos (res0, res0, MPFR_RNDU); |
923 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
924 | assert_exact (i: mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN)); |
925 | mpfr_acos (res1, res1, MPFR_RNDD); |
926 | return 2; |
927 | } |
928 | |
929 | static size_t |
930 | special_fill_2pi (mpfr_t res0, mpfr_t res1, fp_format format) |
931 | { |
932 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
933 | mpfr_const_pi (res0, MPFR_RNDU); |
934 | assert_exact (mpfr_mul_ui (res0, res0, 2, MPFR_RNDN)); |
935 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
936 | mpfr_const_pi (res1, MPFR_RNDD); |
937 | assert_exact (mpfr_mul_ui (res1, res1, 2, MPFR_RNDN)); |
938 | return 2; |
939 | } |
940 | |
941 | static size_t |
942 | special_fill_e (mpfr_t res0, mpfr_t res1, fp_format format) |
943 | { |
944 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
945 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); |
946 | mpfr_exp (res0, res0, MPFR_RNDU); |
947 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
948 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); |
949 | mpfr_exp (res1, res1, MPFR_RNDD); |
950 | return 2; |
951 | } |
952 | |
953 | static size_t |
954 | special_fill_1_e (mpfr_t res0, mpfr_t res1, fp_format format) |
955 | { |
956 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
957 | assert_exact (mpfr_set_si (res0, -1, MPFR_RNDN)); |
958 | mpfr_exp (res0, res0, MPFR_RNDU); |
959 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
960 | assert_exact (mpfr_set_si (res1, -1, MPFR_RNDN)); |
961 | mpfr_exp (res1, res1, MPFR_RNDD); |
962 | return 2; |
963 | } |
964 | |
965 | static size_t |
966 | special_fill_e_minus_1 (mpfr_t res0, mpfr_t res1, fp_format format) |
967 | { |
968 | mpfr_init2 (res0, fp_formats[format].mant_dig); |
969 | assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN)); |
970 | mpfr_expm1 (res0, res0, MPFR_RNDU); |
971 | mpfr_init2 (res1, fp_formats[format].mant_dig); |
972 | assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN)); |
973 | mpfr_expm1 (res1, res1, MPFR_RNDD); |
974 | return 2; |
975 | } |
976 | |
977 | /* A special string accepted in input arguments. */ |
978 | typedef struct |
979 | { |
980 | /* The string. */ |
981 | const char *str; |
982 | /* The function that interprets it for a given floating-point |
983 | format, filling in up to two mpfr_t values and returning the |
984 | number of values filled. */ |
985 | size_t (*func) (mpfr_t, mpfr_t, fp_format); |
986 | } special_real_input; |
987 | |
988 | /* List of special strings accepted in input arguments. */ |
989 | |
990 | static const special_real_input special_real_inputs[] = |
991 | { |
992 | { "max" , special_fill_max }, |
993 | { "-max" , special_fill_minus_max }, |
994 | { "min" , special_fill_min }, |
995 | { "-min" , special_fill_minus_min }, |
996 | { "min_subnorm" , special_fill_min_subnorm }, |
997 | { "-min_subnorm" , special_fill_minus_min_subnorm }, |
998 | { "min_subnorm_p120" , special_fill_min_subnorm_p120 }, |
999 | { "pi" , special_fill_pi }, |
1000 | { "-pi" , special_fill_minus_pi }, |
1001 | { "pi/2" , special_fill_pi_2 }, |
1002 | { "-pi/2" , special_fill_minus_pi_2 }, |
1003 | { "pi/4" , special_fill_pi_4 }, |
1004 | { "pi/6" , special_fill_pi_6 }, |
1005 | { "-pi/6" , special_fill_minus_pi_6 }, |
1006 | { "pi/3" , special_fill_pi_3 }, |
1007 | { "2pi/3" , special_fill_2pi_3 }, |
1008 | { "2pi" , special_fill_2pi }, |
1009 | { "e" , special_fill_e }, |
1010 | { "1/e" , special_fill_1_e }, |
1011 | { "e-1" , special_fill_e_minus_1 }, |
1012 | }; |
1013 | |
1014 | /* Given a real number R computed in round-to-zero mode, set the |
1015 | lowest bit as a sticky bit if INEXACT, and saturate the exponent |
1016 | range for very large or small values. */ |
1017 | |
1018 | static void |
1019 | adjust_real (mpfr_t r, bool inexact) |
1020 | { |
1021 | if (!inexact) |
1022 | return; |
1023 | /* NaNs are exact, as are infinities in round-to-zero mode. */ |
1024 | assert (mpfr_number_p (r)); |
1025 | if (mpfr_cmpabs (r, global_min) < 0) |
1026 | assert_exact (mpfr_copysign (r, global_min, r, MPFR_RNDN)); |
1027 | else if (mpfr_cmpabs (r, global_max) > 0) |
1028 | assert_exact (mpfr_copysign (r, global_max, r, MPFR_RNDN)); |
1029 | else |
1030 | { |
1031 | mpz_t tmp; |
1032 | mpz_init (tmp); |
1033 | mpfr_exp_t e = mpfr_get_z_2exp (tmp, r); |
1034 | if (mpz_sgn (tmp) < 0) |
1035 | { |
1036 | mpz_neg (tmp, tmp); |
1037 | mpz_setbit (tmp, 0); |
1038 | mpz_neg (tmp, tmp); |
1039 | } |
1040 | else |
1041 | mpz_setbit (tmp, 0); |
1042 | assert_exact (i: mpfr_set_z_2exp (r, tmp, e, MPFR_RNDN)); |
1043 | mpz_clear (tmp); |
1044 | } |
1045 | } |
1046 | |
1047 | /* Given a finite real number R with sticky bit, compute the roundings |
1048 | to FORMAT in each rounding mode, storing the results in RES, the |
1049 | before-rounding exceptions in EXC_BEFORE and the after-rounding |
1050 | exceptions in EXC_AFTER. */ |
1051 | |
1052 | static void |
1053 | round_real (mpfr_t res[rm_num_modes], |
1054 | unsigned int exc_before[rm_num_modes], |
1055 | unsigned int exc_after[rm_num_modes], |
1056 | mpfr_t r, fp_format format) |
1057 | { |
1058 | assert (mpfr_number_p (r)); |
1059 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) |
1060 | { |
1061 | mpfr_init2 (res[m], fp_formats[format].mant_dig); |
1062 | exc_before[m] = exc_after[m] = 0; |
1063 | bool inexact = mpfr_set (res[m], r, rounding_modes[m].mpfr_mode); |
1064 | if (mpfr_cmpabs (res[m], fp_formats[format].max) > 0) |
1065 | { |
1066 | inexact = true; |
1067 | exc_before[m] |= 1U << exc_overflow; |
1068 | exc_after[m] |= 1U << exc_overflow; |
1069 | bool overflow_inf; |
1070 | switch (m) |
1071 | { |
1072 | case rm_tonearest: |
1073 | overflow_inf = true; |
1074 | break; |
1075 | case rm_towardzero: |
1076 | overflow_inf = false; |
1077 | break; |
1078 | case rm_downward: |
1079 | overflow_inf = mpfr_signbit (res[m]); |
1080 | break; |
1081 | case rm_upward: |
1082 | overflow_inf = !mpfr_signbit (res[m]); |
1083 | break; |
1084 | default: |
1085 | abort (); |
1086 | } |
1087 | if (overflow_inf) |
1088 | mpfr_set_inf (res[m], mpfr_signbit (res[m]) ? -1 : 1); |
1089 | else |
1090 | assert_exact (mpfr_copysign (res[m], fp_formats[format].max, |
1091 | res[m], MPFR_RNDN)); |
1092 | } |
1093 | if (mpfr_cmpabs (r, fp_formats[format].min) < 0) |
1094 | { |
1095 | /* Tiny before rounding; may or may not be tiny after |
1096 | rounding, and underflow applies only if also inexact |
1097 | around rounding to a possibly subnormal value. */ |
1098 | bool tiny_after_rounding |
1099 | = mpfr_cmpabs (res[m], fp_formats[format].min) < 0; |
1100 | /* To round to a possibly subnormal value, and determine |
1101 | inexactness as a subnormal in the process, scale up and |
1102 | round to integer, then scale back down. */ |
1103 | mpfr_t tmp; |
1104 | mpfr_init (tmp); |
1105 | assert_exact (i: mpfr_mul_2si (tmp, r, (fp_formats[format].mant_dig |
1106 | - fp_formats[format].min_exp), |
1107 | MPFR_RNDN)); |
1108 | int rint_res = mpfr_rint (tmp, tmp, rounding_modes[m].mpfr_mode); |
1109 | /* The integer must be representable. */ |
1110 | assert (rint_res == 0 || rint_res == 2 || rint_res == -2); |
1111 | /* If rounding to full precision was inexact, so must |
1112 | rounding to subnormal precision be inexact. */ |
1113 | if (inexact) |
1114 | assert (rint_res != 0); |
1115 | else |
1116 | inexact = rint_res != 0; |
1117 | assert_exact (i: mpfr_mul_2si (res[m], tmp, |
1118 | (fp_formats[format].min_exp |
1119 | - fp_formats[format].mant_dig), |
1120 | MPFR_RNDN)); |
1121 | mpfr_clear (tmp); |
1122 | if (inexact) |
1123 | { |
1124 | exc_before[m] |= 1U << exc_underflow; |
1125 | if (tiny_after_rounding) |
1126 | exc_after[m] |= 1U << exc_underflow; |
1127 | } |
1128 | } |
1129 | if (inexact) |
1130 | { |
1131 | exc_before[m] |= 1U << exc_inexact; |
1132 | exc_after[m] |= 1U << exc_inexact; |
1133 | } |
1134 | } |
1135 | } |
1136 | |
1137 | /* Handle the input argument at ARG (NUL-terminated), updating the |
1138 | lists of test inputs in IT accordingly. NUM_PREV_ARGS arguments |
1139 | are already in those lists. If EXACT_ARGS, interpret a value given |
1140 | as a floating-point constant exactly (it must be exact for some |
1141 | supported format) rather than rounding up and down. The argument, |
1142 | of type GTYPE, comes from file FILENAME, line LINENO. */ |
1143 | |
1144 | static void |
1145 | handle_input_arg (const char *arg, input_test *it, size_t num_prev_args, |
1146 | generic_value_type gtype, bool exact_args, |
1147 | const char *filename, unsigned int lineno) |
1148 | { |
1149 | size_t num_values = 0; |
1150 | generic_value values[2 * fp_num_formats]; |
1151 | bool check_empty_list = false; |
1152 | switch (gtype) |
1153 | { |
1154 | case gtype_fp: |
1155 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) |
1156 | { |
1157 | mpfr_t [2]; |
1158 | size_t = 0; |
1159 | for (size_t i = 0; i < ARRAY_SIZE (special_real_inputs); i++) |
1160 | { |
1161 | if (strcmp (s1: arg, s2: special_real_inputs[i].str) == 0) |
1162 | { |
1163 | num_extra_values |
1164 | = special_real_inputs[i].func (extra_values[0], |
1165 | extra_values[1], f); |
1166 | assert (num_extra_values > 0 |
1167 | && num_extra_values <= ARRAY_SIZE (extra_values)); |
1168 | break; |
1169 | } |
1170 | } |
1171 | if (num_extra_values == 0) |
1172 | { |
1173 | mpfr_t tmp; |
1174 | char *ep; |
1175 | if (exact_args) |
1176 | check_empty_list = true; |
1177 | mpfr_init (tmp); |
1178 | bool inexact = mpfr_strtofr (tmp, arg, &ep, 0, MPFR_RNDZ); |
1179 | if (*ep != 0 || !mpfr_number_p (tmp)) |
1180 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1181 | format: "bad floating-point argument: '%s'" , arg); |
1182 | adjust_real (r: tmp, inexact); |
1183 | mpfr_t rounded[rm_num_modes]; |
1184 | unsigned int exc_before[rm_num_modes]; |
1185 | unsigned int exc_after[rm_num_modes]; |
1186 | round_real (res: rounded, exc_before, exc_after, r: tmp, format: f); |
1187 | mpfr_clear (tmp); |
1188 | if (mpfr_number_p (rounded[rm_upward]) |
1189 | && (!exact_args || mpfr_equal_p (rounded[rm_upward], |
1190 | rounded[rm_downward]))) |
1191 | { |
1192 | mpfr_init2 (extra_values[num_extra_values], |
1193 | fp_formats[f].mant_dig); |
1194 | assert_exact (mpfr_set (extra_values[num_extra_values], |
1195 | rounded[rm_upward], MPFR_RNDN)); |
1196 | num_extra_values++; |
1197 | } |
1198 | if (mpfr_number_p (rounded[rm_downward]) && !exact_args) |
1199 | { |
1200 | mpfr_init2 (extra_values[num_extra_values], |
1201 | fp_formats[f].mant_dig); |
1202 | assert_exact (mpfr_set (extra_values[num_extra_values], |
1203 | rounded[rm_downward], MPFR_RNDN)); |
1204 | num_extra_values++; |
1205 | } |
1206 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) |
1207 | mpfr_clear (rounded[m]); |
1208 | } |
1209 | for (size_t i = 0; i < num_extra_values; i++) |
1210 | { |
1211 | bool found = false; |
1212 | for (size_t j = 0; j < num_values; j++) |
1213 | { |
1214 | if (mpfr_equal_p (values[j].value.f, extra_values[i]) |
1215 | && ((mpfr_signbit (values[j].value.f) != 0) |
1216 | == (mpfr_signbit (extra_values[i]) != 0))) |
1217 | { |
1218 | found = true; |
1219 | break; |
1220 | } |
1221 | } |
1222 | if (!found) |
1223 | { |
1224 | assert (num_values < ARRAY_SIZE (values)); |
1225 | values[num_values].type = gtype_fp; |
1226 | mpfr_init2 (values[num_values].value.f, |
1227 | fp_formats[f].mant_dig); |
1228 | assert_exact (mpfr_set (values[num_values].value.f, |
1229 | extra_values[i], MPFR_RNDN)); |
1230 | num_values++; |
1231 | } |
1232 | mpfr_clear (extra_values[i]); |
1233 | } |
1234 | } |
1235 | break; |
1236 | |
1237 | case gtype_int: |
1238 | num_values = 1; |
1239 | values[0].type = gtype_int; |
1240 | int ret = mpz_init_set_str (values[0].value.i, arg, 0); |
1241 | if (ret != 0) |
1242 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1243 | format: "bad integer argument: '%s'" , arg); |
1244 | break; |
1245 | |
1246 | default: |
1247 | abort (); |
1248 | } |
1249 | if (check_empty_list && num_values == 0) |
1250 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1251 | format: "floating-point argument not exact for any format: '%s'" , |
1252 | arg); |
1253 | assert (num_values > 0 && num_values <= ARRAY_SIZE (values)); |
1254 | if (it->num_input_cases >= SIZE_MAX / num_values) |
1255 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, format: "too many input cases" ); |
1256 | generic_value **old_inputs = it->inputs; |
1257 | size_t new_num_input_cases = it->num_input_cases * num_values; |
1258 | generic_value **new_inputs = xmalloc (n: new_num_input_cases |
1259 | * sizeof (new_inputs[0])); |
1260 | for (size_t i = 0; i < it->num_input_cases; i++) |
1261 | { |
1262 | for (size_t j = 0; j < num_values; j++) |
1263 | { |
1264 | size_t idx = i * num_values + j; |
1265 | new_inputs[idx] = xmalloc (n: (num_prev_args + 1) |
1266 | * sizeof (new_inputs[idx][0])); |
1267 | for (size_t k = 0; k < num_prev_args; k++) |
1268 | generic_value_copy (dest: &new_inputs[idx][k], src: &old_inputs[i][k]); |
1269 | generic_value_copy (dest: &new_inputs[idx][num_prev_args], src: &values[j]); |
1270 | } |
1271 | for (size_t j = 0; j < num_prev_args; j++) |
1272 | generic_value_free (v: &old_inputs[i][j]); |
1273 | free (ptr: old_inputs[i]); |
1274 | } |
1275 | free (ptr: old_inputs); |
1276 | for (size_t i = 0; i < num_values; i++) |
1277 | generic_value_free (v: &values[i]); |
1278 | it->inputs = new_inputs; |
1279 | it->num_input_cases = new_num_input_cases; |
1280 | } |
1281 | |
1282 | /* Handle the input flag ARG (NUL-terminated), storing it in *FLAG. |
1283 | The flag comes from file FILENAME, line LINENO. */ |
1284 | |
1285 | static void |
1286 | handle_input_flag (char *arg, input_flag *flag, |
1287 | const char *filename, unsigned int lineno) |
1288 | { |
1289 | char *ep = strchr (s: arg, c: ':'); |
1290 | if (ep == NULL) |
1291 | { |
1292 | ep = strchr (s: arg, c: 0); |
1293 | assert (ep != NULL); |
1294 | } |
1295 | char c = *ep; |
1296 | *ep = 0; |
1297 | bool found = false; |
1298 | for (input_flag_type i = flag_first_flag; i < num_input_flag_types; i++) |
1299 | { |
1300 | if (strcmp (s1: arg, s2: input_flags[i]) == 0) |
1301 | { |
1302 | found = true; |
1303 | flag->type = i; |
1304 | break; |
1305 | } |
1306 | } |
1307 | if (!found) |
1308 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, format: "unknown flag: '%s'" , |
1309 | arg); |
1310 | *ep = c; |
1311 | if (c == 0) |
1312 | flag->cond = NULL; |
1313 | else |
1314 | flag->cond = xstrdup (s: ep); |
1315 | } |
1316 | |
1317 | /* Add the test LINE (file FILENAME, line LINENO) to the test |
1318 | data. */ |
1319 | |
1320 | static void |
1321 | add_test (char *line, const char *filename, unsigned int lineno) |
1322 | { |
1323 | size_t num_tokens = 1; |
1324 | char *p = line; |
1325 | while ((p = strchr (s: p, c: ' ')) != NULL) |
1326 | { |
1327 | num_tokens++; |
1328 | p++; |
1329 | } |
1330 | if (num_tokens < 2) |
1331 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1332 | format: "line too short: '%s'" , line); |
1333 | p = strchr (s: line, c: ' '); |
1334 | size_t func_name_len = p - line; |
1335 | for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) |
1336 | { |
1337 | if (func_name_len == strlen (s: test_functions[i].name) |
1338 | && strncmp (s1: line, s2: test_functions[i].name, n: func_name_len) == 0) |
1339 | { |
1340 | test_function *tf = &test_functions[i]; |
1341 | if (num_tokens < 1 + tf->num_args) |
1342 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1343 | format: "line too short: '%s'" , line); |
1344 | if (tf->num_tests == tf->num_tests_alloc) |
1345 | { |
1346 | tf->num_tests_alloc = 2 * tf->num_tests_alloc + 16; |
1347 | tf->tests |
1348 | = xrealloc (p: tf->tests, |
1349 | n: tf->num_tests_alloc * sizeof (tf->tests[0])); |
1350 | } |
1351 | input_test *it = &tf->tests[tf->num_tests]; |
1352 | it->line = line; |
1353 | it->num_input_cases = 1; |
1354 | it->inputs = xmalloc (n: sizeof (it->inputs[0])); |
1355 | it->inputs[0] = NULL; |
1356 | it->old_output = NULL; |
1357 | p++; |
1358 | for (size_t j = 0; j < tf->num_args; j++) |
1359 | { |
1360 | char *ep = strchr (s: p, c: ' '); |
1361 | if (ep == NULL) |
1362 | { |
1363 | ep = strchr (s: p, c: '\n'); |
1364 | assert (ep != NULL); |
1365 | } |
1366 | if (ep == p) |
1367 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1368 | format: "empty token in line: '%s'" , line); |
1369 | for (char *t = p; t < ep; t++) |
1370 | if (isspace ((unsigned char) *t)) |
1371 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1372 | format: "whitespace in token in line: '%s'" , line); |
1373 | char c = *ep; |
1374 | *ep = 0; |
1375 | handle_input_arg (arg: p, it, num_prev_args: j, |
1376 | gtype: generic_arg_ret_type (t: tf->arg_types[j]), |
1377 | exact_args: tf->exact_args, filename, lineno); |
1378 | *ep = c; |
1379 | p = ep + 1; |
1380 | } |
1381 | it->num_flags = num_tokens - 1 - tf->num_args; |
1382 | it->flags = xmalloc (n: it->num_flags * sizeof (it->flags[0])); |
1383 | for (size_t j = 0; j < it->num_flags; j++) |
1384 | { |
1385 | char *ep = strchr (s: p, c: ' '); |
1386 | if (ep == NULL) |
1387 | { |
1388 | ep = strchr (s: p, c: '\n'); |
1389 | assert (ep != NULL); |
1390 | } |
1391 | if (ep == p) |
1392 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1393 | format: "empty token in line: '%s'" , line); |
1394 | for (char *t = p; t < ep; t++) |
1395 | if (isspace ((unsigned char) *t)) |
1396 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1397 | format: "whitespace in token in line: '%s'" , line); |
1398 | char c = *ep; |
1399 | *ep = 0; |
1400 | handle_input_flag (arg: p, flag: &it->flags[j], filename, lineno); |
1401 | *ep = c; |
1402 | p = ep + 1; |
1403 | } |
1404 | assert (*p == 0); |
1405 | tf->num_tests++; |
1406 | return; |
1407 | } |
1408 | } |
1409 | error_at_line (EXIT_FAILURE, errnum: 0, fname: filename, lineno: lineno, |
1410 | format: "unknown function in line: '%s'" , line); |
1411 | } |
1412 | |
1413 | /* Read in the test input data from FILENAME. */ |
1414 | |
1415 | static void |
1416 | read_input (const char *filename) |
1417 | { |
1418 | FILE *fp = fopen (filename: filename, modes: "r" ); |
1419 | if (fp == NULL) |
1420 | error (EXIT_FAILURE, errno, format: "open '%s'" , filename); |
1421 | unsigned int lineno = 0; |
1422 | for (;;) |
1423 | { |
1424 | size_t size = 0; |
1425 | char *line = NULL; |
1426 | ssize_t ret = getline (lineptr: &line, n: &size, stream: fp); |
1427 | if (ret == -1) |
1428 | break; |
1429 | lineno++; |
1430 | if (line[0] == '#' || line[0] == '\n') |
1431 | continue; |
1432 | add_test (line, filename, lineno); |
1433 | } |
1434 | if (ferror (stream: fp)) |
1435 | error (EXIT_FAILURE, errno, format: "read from '%s'" , filename); |
1436 | if (fclose (stream: fp) != 0) |
1437 | error (EXIT_FAILURE, errno, format: "close '%s'" , filename); |
1438 | } |
1439 | |
1440 | /* Calculate the generic results (round-to-zero with sticky bit) for |
1441 | the function described by CALC, with inputs INPUTS, if MODE is |
1442 | rm_towardzero; for other modes, calculate results in that mode, |
1443 | which must be exact zero results. */ |
1444 | |
1445 | static void |
1446 | calc_generic_results (generic_value *outputs, generic_value *inputs, |
1447 | const func_calc_desc *calc, rounding_mode mode) |
1448 | { |
1449 | bool inexact; |
1450 | int mpc_ternary; |
1451 | mpc_t ci1, ci2, co; |
1452 | mpfr_rnd_t mode_mpfr = rounding_modes[mode].mpfr_mode; |
1453 | mpc_rnd_t mode_mpc = rounding_modes[mode].mpc_mode; |
1454 | |
1455 | switch (calc->method) |
1456 | { |
1457 | case mpfr_f_f: |
1458 | assert (inputs[0].type == gtype_fp); |
1459 | outputs[0].type = gtype_fp; |
1460 | mpfr_init (outputs[0].value.f); |
1461 | inexact = calc->func.mpfr_f_f (outputs[0].value.f, inputs[0].value.f, |
1462 | mode_mpfr); |
1463 | if (mode != rm_towardzero) |
1464 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1465 | adjust_real (r: outputs[0].value.f, inexact); |
1466 | break; |
1467 | |
1468 | case mpfr_ff_f: |
1469 | assert (inputs[0].type == gtype_fp); |
1470 | assert (inputs[1].type == gtype_fp); |
1471 | outputs[0].type = gtype_fp; |
1472 | mpfr_init (outputs[0].value.f); |
1473 | inexact = calc->func.mpfr_ff_f (outputs[0].value.f, inputs[0].value.f, |
1474 | inputs[1].value.f, mode_mpfr); |
1475 | if (mode != rm_towardzero) |
1476 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1477 | adjust_real (r: outputs[0].value.f, inexact); |
1478 | break; |
1479 | |
1480 | case mpfr_fff_f: |
1481 | assert (inputs[0].type == gtype_fp); |
1482 | assert (inputs[1].type == gtype_fp); |
1483 | assert (inputs[2].type == gtype_fp); |
1484 | outputs[0].type = gtype_fp; |
1485 | mpfr_init (outputs[0].value.f); |
1486 | inexact = calc->func.mpfr_fff_f (outputs[0].value.f, inputs[0].value.f, |
1487 | inputs[1].value.f, inputs[2].value.f, |
1488 | mode_mpfr); |
1489 | if (mode != rm_towardzero) |
1490 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1491 | adjust_real (r: outputs[0].value.f, inexact); |
1492 | break; |
1493 | |
1494 | case mpfr_f_f1: |
1495 | assert (inputs[0].type == gtype_fp); |
1496 | outputs[0].type = gtype_fp; |
1497 | outputs[1].type = gtype_int; |
1498 | mpfr_init (outputs[0].value.f); |
1499 | int i = 0; |
1500 | inexact = calc->func.mpfr_f_f1 (outputs[0].value.f, &i, |
1501 | inputs[0].value.f, mode_mpfr); |
1502 | if (mode != rm_towardzero) |
1503 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1504 | adjust_real (r: outputs[0].value.f, inexact); |
1505 | mpz_init_set_si (outputs[1].value.i, i); |
1506 | break; |
1507 | |
1508 | case mpfr_if_f: |
1509 | assert (inputs[0].type == gtype_int); |
1510 | assert (inputs[1].type == gtype_fp); |
1511 | outputs[0].type = gtype_fp; |
1512 | mpfr_init (outputs[0].value.f); |
1513 | assert (mpz_fits_slong_p (inputs[0].value.i)); |
1514 | long l = mpz_get_si (inputs[0].value.i); |
1515 | inexact = calc->func.mpfr_if_f (outputs[0].value.f, l, |
1516 | inputs[1].value.f, mode_mpfr); |
1517 | if (mode != rm_towardzero) |
1518 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1519 | adjust_real (r: outputs[0].value.f, inexact); |
1520 | break; |
1521 | |
1522 | case mpfr_f_11: |
1523 | assert (inputs[0].type == gtype_fp); |
1524 | outputs[0].type = gtype_fp; |
1525 | mpfr_init (outputs[0].value.f); |
1526 | outputs[1].type = gtype_fp; |
1527 | mpfr_init (outputs[1].value.f); |
1528 | int comb_ternary = calc->func.mpfr_f_11 (outputs[0].value.f, |
1529 | outputs[1].value.f, |
1530 | inputs[0].value.f, |
1531 | mode_mpfr); |
1532 | if (mode != rm_towardzero) |
1533 | assert (((comb_ternary & 0x3) == 0 |
1534 | && mpfr_zero_p (outputs[0].value.f)) |
1535 | || ((comb_ternary & 0xc) == 0 |
1536 | && mpfr_zero_p (outputs[1].value.f))); |
1537 | adjust_real (r: outputs[0].value.f, inexact: (comb_ternary & 0x3) != 0); |
1538 | adjust_real (r: outputs[1].value.f, inexact: (comb_ternary & 0xc) != 0); |
1539 | break; |
1540 | |
1541 | case mpc_c_f: |
1542 | assert (inputs[0].type == gtype_fp); |
1543 | assert (inputs[1].type == gtype_fp); |
1544 | outputs[0].type = gtype_fp; |
1545 | mpfr_init (outputs[0].value.f); |
1546 | mpc_init2 (ci1, internal_precision); |
1547 | assert_exact (i: mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, |
1548 | MPC_RNDNN)); |
1549 | inexact = calc->func.mpc_c_f (outputs[0].value.f, ci1, mode_mpfr); |
1550 | if (mode != rm_towardzero) |
1551 | assert (!inexact && mpfr_zero_p (outputs[0].value.f)); |
1552 | adjust_real (r: outputs[0].value.f, inexact); |
1553 | mpc_clear (ci1); |
1554 | break; |
1555 | |
1556 | case mpc_c_c: |
1557 | assert (inputs[0].type == gtype_fp); |
1558 | assert (inputs[1].type == gtype_fp); |
1559 | outputs[0].type = gtype_fp; |
1560 | mpfr_init (outputs[0].value.f); |
1561 | outputs[1].type = gtype_fp; |
1562 | mpfr_init (outputs[1].value.f); |
1563 | mpc_init2 (ci1, internal_precision); |
1564 | mpc_init2 (co, internal_precision); |
1565 | assert_exact (i: mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, |
1566 | MPC_RNDNN)); |
1567 | mpc_ternary = calc->func.mpc_c_c (co, ci1, mode_mpc); |
1568 | if (mode != rm_towardzero) |
1569 | assert ((!MPC_INEX_RE (mpc_ternary) |
1570 | && mpfr_zero_p (mpc_realref (co))) |
1571 | || (!MPC_INEX_IM (mpc_ternary) |
1572 | && mpfr_zero_p (mpc_imagref (co)))); |
1573 | assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co), |
1574 | MPFR_RNDN)); |
1575 | assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co), |
1576 | MPFR_RNDN)); |
1577 | adjust_real (r: outputs[0].value.f, MPC_INEX_RE (mpc_ternary)); |
1578 | adjust_real (r: outputs[1].value.f, MPC_INEX_IM (mpc_ternary)); |
1579 | mpc_clear (ci1); |
1580 | mpc_clear (co); |
1581 | break; |
1582 | |
1583 | case mpc_cc_c: |
1584 | assert (inputs[0].type == gtype_fp); |
1585 | assert (inputs[1].type == gtype_fp); |
1586 | assert (inputs[2].type == gtype_fp); |
1587 | assert (inputs[3].type == gtype_fp); |
1588 | outputs[0].type = gtype_fp; |
1589 | mpfr_init (outputs[0].value.f); |
1590 | outputs[1].type = gtype_fp; |
1591 | mpfr_init (outputs[1].value.f); |
1592 | mpc_init2 (ci1, internal_precision); |
1593 | mpc_init2 (ci2, internal_precision); |
1594 | mpc_init2 (co, internal_precision); |
1595 | assert_exact (i: mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f, |
1596 | MPC_RNDNN)); |
1597 | assert_exact (i: mpc_set_fr_fr (ci2, inputs[2].value.f, inputs[3].value.f, |
1598 | MPC_RNDNN)); |
1599 | mpc_ternary = calc->func.mpc_cc_c (co, ci1, ci2, mode_mpc); |
1600 | if (mode != rm_towardzero) |
1601 | assert ((!MPC_INEX_RE (mpc_ternary) |
1602 | && mpfr_zero_p (mpc_realref (co))) |
1603 | || (!MPC_INEX_IM (mpc_ternary) |
1604 | && mpfr_zero_p (mpc_imagref (co)))); |
1605 | assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co), |
1606 | MPFR_RNDN)); |
1607 | assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co), |
1608 | MPFR_RNDN)); |
1609 | adjust_real (r: outputs[0].value.f, MPC_INEX_RE (mpc_ternary)); |
1610 | adjust_real (r: outputs[1].value.f, MPC_INEX_IM (mpc_ternary)); |
1611 | mpc_clear (ci1); |
1612 | mpc_clear (ci2); |
1613 | mpc_clear (co); |
1614 | break; |
1615 | |
1616 | default: |
1617 | abort (); |
1618 | } |
1619 | } |
1620 | |
1621 | /* Return the number of bits for integer type TYPE, where "long" has |
1622 | LONG_BITS bits (32 or 64). */ |
1623 | |
1624 | static int |
1625 | int_type_bits (arg_ret_type type, int long_bits) |
1626 | { |
1627 | assert (long_bits == 32 || long_bits == 64); |
1628 | switch (type) |
1629 | { |
1630 | case type_int: |
1631 | return 32; |
1632 | break; |
1633 | |
1634 | case type_long: |
1635 | return long_bits; |
1636 | break; |
1637 | |
1638 | case type_long_long: |
1639 | return 64; |
1640 | break; |
1641 | |
1642 | default: |
1643 | abort (); |
1644 | } |
1645 | } |
1646 | |
1647 | /* Check whether an integer Z fits a given type TYPE, where "long" has |
1648 | LONG_BITS bits (32 or 64). */ |
1649 | |
1650 | static bool |
1651 | int_fits_type (mpz_t z, arg_ret_type type, int long_bits) |
1652 | { |
1653 | int bits = int_type_bits (type, long_bits); |
1654 | bool ret = true; |
1655 | mpz_t t; |
1656 | mpz_init (t); |
1657 | mpz_ui_pow_ui (t, 2, bits - 1); |
1658 | if (mpz_cmp (z, t) >= 0) |
1659 | ret = false; |
1660 | mpz_neg (t, t); |
1661 | if (mpz_cmp (z, t) < 0) |
1662 | ret = false; |
1663 | mpz_clear (t); |
1664 | return ret; |
1665 | } |
1666 | |
1667 | /* Print a generic value V to FP (name FILENAME), preceded by a space, |
1668 | for type TYPE, LONG_BITS bits per long, printing " IGNORE" instead |
1669 | if IGNORE. */ |
1670 | |
1671 | static void |
1672 | output_generic_value (FILE *fp, const char *filename, const generic_value *v, |
1673 | bool ignore, arg_ret_type type, int long_bits) |
1674 | { |
1675 | if (ignore) |
1676 | { |
1677 | if (fputs (s: " IGNORE" , stream: fp) < 0) |
1678 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
1679 | return; |
1680 | } |
1681 | assert (v->type == generic_arg_ret_type (type)); |
1682 | const char *suffix; |
1683 | switch (type) |
1684 | { |
1685 | case type_fp: |
1686 | suffix = "" ; |
1687 | break; |
1688 | |
1689 | case type_int: |
1690 | suffix = "" ; |
1691 | break; |
1692 | |
1693 | case type_long: |
1694 | suffix = "L" ; |
1695 | break; |
1696 | |
1697 | case type_long_long: |
1698 | suffix = "LL" ; |
1699 | break; |
1700 | |
1701 | default: |
1702 | abort (); |
1703 | } |
1704 | switch (v->type) |
1705 | { |
1706 | case gtype_fp: |
1707 | if (mpfr_inf_p (v->value.f)) |
1708 | { |
1709 | if (fputs (s: (mpfr_signbit (v->value.f) |
1710 | ? " minus_infty" : " plus_infty" ), stream: fp) < 0) |
1711 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
1712 | } |
1713 | else |
1714 | { |
1715 | assert (mpfr_number_p (v->value.f)); |
1716 | if (mpfr_fprintf (fp, " %Ra%s" , v->value.f, suffix) < 0) |
1717 | error (EXIT_FAILURE, errno, format: "mpfr_fprintf to '%s'" , filename); |
1718 | } |
1719 | break; |
1720 | |
1721 | case gtype_int: ; |
1722 | int bits = int_type_bits (type, long_bits); |
1723 | mpz_t tmp; |
1724 | mpz_init (tmp); |
1725 | mpz_ui_pow_ui (tmp, 2, bits - 1); |
1726 | mpz_neg (tmp, tmp); |
1727 | if (mpz_cmp (v->value.i, tmp) == 0) |
1728 | { |
1729 | mpz_add_ui (tmp, tmp, 1); |
1730 | if (mpfr_fprintf (fp, " (%Zd%s-1)" , tmp, suffix) < 0) |
1731 | error (EXIT_FAILURE, errno, format: "mpfr_fprintf to '%s'" , filename); |
1732 | } |
1733 | else |
1734 | { |
1735 | if (mpfr_fprintf (fp, " %Zd%s" , v->value.i, suffix) < 0) |
1736 | error (EXIT_FAILURE, errno, format: "mpfr_fprintf to '%s'" , filename); |
1737 | } |
1738 | mpz_clear (tmp); |
1739 | break; |
1740 | |
1741 | default: |
1742 | abort (); |
1743 | } |
1744 | } |
1745 | |
1746 | /* Generate test output to FP (name FILENAME) for test function TF |
1747 | (rounding results to a narrower type if NARROW), input test IT, |
1748 | choice of input values INPUTS. */ |
1749 | |
1750 | static void |
1751 | output_for_one_input_case (FILE *fp, const char *filename, test_function *tf, |
1752 | bool narrow, input_test *it, generic_value *inputs) |
1753 | { |
1754 | bool long_bits_matters = false; |
1755 | bool fits_long32 = true; |
1756 | for (size_t i = 0; i < tf->num_args; i++) |
1757 | { |
1758 | generic_value_type gtype = generic_arg_ret_type (t: tf->arg_types[i]); |
1759 | assert (inputs[i].type == gtype); |
1760 | if (gtype == gtype_int) |
1761 | { |
1762 | bool fits_64 = int_fits_type (z: inputs[i].value.i, type: tf->arg_types[i], |
1763 | long_bits: 64); |
1764 | if (!fits_64) |
1765 | return; |
1766 | if (tf->arg_types[i] == type_long |
1767 | && !int_fits_type (z: inputs[i].value.i, type: tf->arg_types[i], long_bits: 32)) |
1768 | { |
1769 | long_bits_matters = true; |
1770 | fits_long32 = false; |
1771 | } |
1772 | } |
1773 | } |
1774 | generic_value generic_outputs[MAX_NRET]; |
1775 | calc_generic_results (outputs: generic_outputs, inputs, calc: &tf->calc, mode: rm_towardzero); |
1776 | bool ignore_output_long32[MAX_NRET] = { false }; |
1777 | bool ignore_output_long64[MAX_NRET] = { false }; |
1778 | for (size_t i = 0; i < tf->num_ret; i++) |
1779 | { |
1780 | assert (generic_outputs[i].type |
1781 | == generic_arg_ret_type (tf->ret_types[i])); |
1782 | switch (generic_outputs[i].type) |
1783 | { |
1784 | case gtype_fp: |
1785 | if (!mpfr_number_p (generic_outputs[i].value.f)) |
1786 | goto out; /* Result is NaN or exact infinity. */ |
1787 | break; |
1788 | |
1789 | case gtype_int: |
1790 | ignore_output_long32[i] = !int_fits_type (z: generic_outputs[i].value.i, |
1791 | type: tf->ret_types[i], long_bits: 32); |
1792 | ignore_output_long64[i] = !int_fits_type (z: generic_outputs[i].value.i, |
1793 | type: tf->ret_types[i], long_bits: 64); |
1794 | if (ignore_output_long32[i] != ignore_output_long64[i]) |
1795 | long_bits_matters = true; |
1796 | break; |
1797 | |
1798 | default: |
1799 | abort (); |
1800 | } |
1801 | } |
1802 | /* Iterate over relevant sizes of long and floating-point formats. */ |
1803 | for (int long_bits = 32; long_bits <= 64; long_bits += 32) |
1804 | { |
1805 | if (long_bits == 32 && !fits_long32) |
1806 | continue; |
1807 | if (long_bits == 64 && !long_bits_matters) |
1808 | continue; |
1809 | const char *long_cond; |
1810 | if (long_bits_matters) |
1811 | long_cond = (long_bits == 32 ? ":long32" : ":long64" ); |
1812 | else |
1813 | long_cond = "" ; |
1814 | bool *ignore_output = (long_bits == 32 |
1815 | ? ignore_output_long32 |
1816 | : ignore_output_long64); |
1817 | for (fp_format f = fp_first_format; f < fp_num_formats; f++) |
1818 | { |
1819 | bool fits = true; |
1820 | mpfr_t res[rm_num_modes]; |
1821 | unsigned int exc_before[rm_num_modes]; |
1822 | unsigned int exc_after[rm_num_modes]; |
1823 | bool have_fp_arg = false; |
1824 | int max_exp = 0; |
1825 | int num_ones = 0; |
1826 | int min_exp = 0; |
1827 | int max_prec = 0; |
1828 | for (size_t i = 0; i < tf->num_args; i++) |
1829 | { |
1830 | if (inputs[i].type == gtype_fp) |
1831 | { |
1832 | if (narrow) |
1833 | { |
1834 | if (mpfr_zero_p (inputs[i].value.f)) |
1835 | continue; |
1836 | assert (mpfr_regular_p (inputs[i].value.f)); |
1837 | int this_exp, this_num_ones, this_min_exp, this_prec; |
1838 | mpz_t tmp; |
1839 | mpz_init (tmp); |
1840 | mpfr_exp_t e = mpfr_get_z_2exp (tmp, inputs[i].value.f); |
1841 | if (mpz_sgn (tmp) < 0) |
1842 | mpz_neg (tmp, tmp); |
1843 | size_t bits = mpz_sizeinbase (tmp, 2); |
1844 | mp_bitcnt_t tz = mpz_scan1 (tmp, 0); |
1845 | this_min_exp = e + tz; |
1846 | this_prec = bits - tz; |
1847 | assert (this_prec > 0); |
1848 | this_exp = this_min_exp + this_prec - 1; |
1849 | assert (this_exp |
1850 | == mpfr_get_exp (inputs[i].value.f) - 1); |
1851 | this_num_ones = 1; |
1852 | while ((size_t) this_num_ones < bits |
1853 | && mpz_tstbit (tmp, bits - 1 - this_num_ones)) |
1854 | this_num_ones++; |
1855 | mpz_clear (tmp); |
1856 | if (have_fp_arg) |
1857 | { |
1858 | if (this_exp > max_exp |
1859 | || (this_exp == max_exp |
1860 | && this_num_ones > num_ones)) |
1861 | { |
1862 | max_exp = this_exp; |
1863 | num_ones = this_num_ones; |
1864 | } |
1865 | if (this_min_exp < min_exp) |
1866 | min_exp = this_min_exp; |
1867 | if (this_prec > max_prec) |
1868 | max_prec = this_prec; |
1869 | } |
1870 | else |
1871 | { |
1872 | max_exp = this_exp; |
1873 | num_ones = this_num_ones; |
1874 | min_exp = this_min_exp; |
1875 | max_prec = this_prec; |
1876 | } |
1877 | have_fp_arg = true; |
1878 | } |
1879 | else |
1880 | { |
1881 | round_real (res, exc_before, exc_after, |
1882 | r: inputs[i].value.f, format: f); |
1883 | if (!mpfr_equal_p (res[rm_tonearest], inputs[i].value.f)) |
1884 | fits = false; |
1885 | for (rounding_mode m = rm_first_mode; |
1886 | m < rm_num_modes; |
1887 | m++) |
1888 | mpfr_clear (res[m]); |
1889 | if (!fits) |
1890 | break; |
1891 | } |
1892 | } |
1893 | } |
1894 | if (!fits) |
1895 | continue; |
1896 | /* The inputs fit this type if required to do so, so compute |
1897 | the ideal outputs and exceptions. */ |
1898 | mpfr_t all_res[MAX_NRET][rm_num_modes]; |
1899 | unsigned int all_exc_before[MAX_NRET][rm_num_modes]; |
1900 | unsigned int all_exc_after[MAX_NRET][rm_num_modes]; |
1901 | unsigned int merged_exc_before[rm_num_modes] = { 0 }; |
1902 | unsigned int merged_exc_after[rm_num_modes] = { 0 }; |
1903 | /* For functions not exactly determined, track whether |
1904 | underflow is required (some result is inexact, and |
1905 | magnitude does not exceed the greatest magnitude |
1906 | subnormal), and permitted (not an exact zero, and |
1907 | magnitude does not exceed the least magnitude |
1908 | normal). */ |
1909 | bool must_underflow = false; |
1910 | bool may_underflow = false; |
1911 | for (size_t i = 0; i < tf->num_ret; i++) |
1912 | { |
1913 | switch (generic_outputs[i].type) |
1914 | { |
1915 | case gtype_fp: |
1916 | round_real (res: all_res[i], exc_before: all_exc_before[i], exc_after: all_exc_after[i], |
1917 | r: generic_outputs[i].value.f, format: f); |
1918 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) |
1919 | { |
1920 | merged_exc_before[m] |= all_exc_before[i][m]; |
1921 | merged_exc_after[m] |= all_exc_after[i][m]; |
1922 | if (!tf->exact) |
1923 | { |
1924 | must_underflow |
1925 | |= ((all_exc_before[i][m] |
1926 | & (1U << exc_inexact)) != 0 |
1927 | && (mpfr_cmpabs (generic_outputs[i].value.f, |
1928 | fp_formats[f].subnorm_max) |
1929 | <= 0)); |
1930 | may_underflow |
1931 | |= (!mpfr_zero_p (generic_outputs[i].value.f) |
1932 | && (mpfr_cmpabs (generic_outputs[i].value.f, |
1933 | fp_formats[f].min_plus_half) |
1934 | <= 0)); |
1935 | } |
1936 | /* If the result is an exact zero, the sign may |
1937 | depend on the rounding mode, so recompute it |
1938 | directly in that mode. */ |
1939 | if (mpfr_zero_p (all_res[i][m]) |
1940 | && (all_exc_before[i][m] & (1U << exc_inexact)) == 0) |
1941 | { |
1942 | generic_value outputs_rm[MAX_NRET]; |
1943 | calc_generic_results (outputs: outputs_rm, inputs, |
1944 | calc: &tf->calc, mode: m); |
1945 | assert_exact (mpfr_set (all_res[i][m], |
1946 | outputs_rm[i].value.f, |
1947 | MPFR_RNDN)); |
1948 | for (size_t j = 0; j < tf->num_ret; j++) |
1949 | generic_value_free (v: &outputs_rm[j]); |
1950 | } |
1951 | } |
1952 | break; |
1953 | |
1954 | case gtype_int: |
1955 | if (ignore_output[i]) |
1956 | for (rounding_mode m = rm_first_mode; |
1957 | m < rm_num_modes; |
1958 | m++) |
1959 | { |
1960 | merged_exc_before[m] |= 1U << exc_invalid; |
1961 | merged_exc_after[m] |= 1U << exc_invalid; |
1962 | } |
1963 | break; |
1964 | |
1965 | default: |
1966 | abort (); |
1967 | } |
1968 | } |
1969 | assert (may_underflow || !must_underflow); |
1970 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) |
1971 | { |
1972 | bool before_after_matters |
1973 | = tf->exact && merged_exc_before[m] != merged_exc_after[m]; |
1974 | if (before_after_matters) |
1975 | { |
1976 | assert ((merged_exc_before[m] ^ merged_exc_after[m]) |
1977 | == (1U << exc_underflow)); |
1978 | assert ((merged_exc_before[m] & (1U << exc_underflow)) != 0); |
1979 | } |
1980 | unsigned int merged_exc = merged_exc_before[m]; |
1981 | if (narrow) |
1982 | { |
1983 | if (fprintf (stream: fp, format: "= %s %s %s%s:arg_fmt(%d,%d,%d,%d)" , |
1984 | tf->name, rounding_modes[m].name, |
1985 | fp_formats[f].name, long_cond, max_exp, |
1986 | num_ones, min_exp, max_prec) < 0) |
1987 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
1988 | } |
1989 | else |
1990 | { |
1991 | if (fprintf (stream: fp, format: "= %s %s %s%s" , tf->name, |
1992 | rounding_modes[m].name, fp_formats[f].name, |
1993 | long_cond) < 0) |
1994 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
1995 | } |
1996 | /* Print inputs. */ |
1997 | for (size_t i = 0; i < tf->num_args; i++) |
1998 | output_generic_value (fp, filename, v: &inputs[i], false, |
1999 | type: tf->arg_types[i], long_bits); |
2000 | if (fputs (s: " :" , stream: fp) < 0) |
2001 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
2002 | /* Print outputs. */ |
2003 | bool must_erange = false; |
2004 | bool some_underflow_zero = false; |
2005 | for (size_t i = 0; i < tf->num_ret; i++) |
2006 | { |
2007 | generic_value g; |
2008 | g.type = generic_outputs[i].type; |
2009 | switch (g.type) |
2010 | { |
2011 | case gtype_fp: |
2012 | if (mpfr_inf_p (all_res[i][m]) |
2013 | && (all_exc_before[i][m] |
2014 | & (1U << exc_overflow)) != 0) |
2015 | must_erange = true; |
2016 | if (mpfr_zero_p (all_res[i][m]) |
2017 | && (tf->exact |
2018 | || mpfr_zero_p (all_res[i][rm_tonearest])) |
2019 | && (all_exc_before[i][m] |
2020 | & (1U << exc_underflow)) != 0) |
2021 | must_erange = true; |
2022 | if (mpfr_zero_p (all_res[i][rm_towardzero]) |
2023 | && (all_exc_before[i][m] |
2024 | & (1U << exc_underflow)) != 0) |
2025 | some_underflow_zero = true; |
2026 | mpfr_init2 (g.value.f, fp_formats[f].mant_dig); |
2027 | assert_exact (mpfr_set (g.value.f, all_res[i][m], |
2028 | MPFR_RNDN)); |
2029 | break; |
2030 | |
2031 | case gtype_int: |
2032 | mpz_init (g.value.i); |
2033 | mpz_set (g.value.i, generic_outputs[i].value.i); |
2034 | break; |
2035 | |
2036 | default: |
2037 | abort (); |
2038 | } |
2039 | output_generic_value (fp, filename, v: &g, ignore: ignore_output[i], |
2040 | type: tf->ret_types[i], long_bits); |
2041 | generic_value_free (v: &g); |
2042 | } |
2043 | if (fputs (s: " :" , stream: fp) < 0) |
2044 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
2045 | /* Print miscellaneous flags (passed through from |
2046 | input). */ |
2047 | for (size_t i = 0; i < it->num_flags; i++) |
2048 | switch (it->flags[i].type) |
2049 | { |
2050 | case flag_ignore_zero_inf_sign: |
2051 | case flag_xfail: |
2052 | if (fprintf (stream: fp, format: " %s%s" , |
2053 | input_flags[it->flags[i].type], |
2054 | (it->flags[i].cond |
2055 | ? it->flags[i].cond |
2056 | : "" )) < 0) |
2057 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2058 | filename); |
2059 | break; |
2060 | case flag_xfail_rounding: |
2061 | if (m != rm_tonearest) |
2062 | if (fprintf (stream: fp, format: " xfail%s" , |
2063 | (it->flags[i].cond |
2064 | ? it->flags[i].cond |
2065 | : "" )) < 0) |
2066 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2067 | filename); |
2068 | break; |
2069 | default: |
2070 | break; |
2071 | } |
2072 | /* For the ibm128 format, expect incorrect overflowing |
2073 | results in rounding modes other than to nearest; |
2074 | likewise incorrect results where the result may |
2075 | underflow to 0. */ |
2076 | if (f == fp_ldbl_128ibm |
2077 | && m != rm_tonearest |
2078 | && (some_underflow_zero |
2079 | || (merged_exc_before[m] & (1U << exc_overflow)) != 0)) |
2080 | if (fputs (s: " xfail:ibm128-libgcc" , stream: fp) < 0) |
2081 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
2082 | /* Print exception flags and compute errno |
2083 | expectations where not already computed. */ |
2084 | bool may_edom = false; |
2085 | bool must_edom = false; |
2086 | bool may_erange = must_erange || may_underflow; |
2087 | for (fp_exception e = exc_first_exception; |
2088 | e < exc_num_exceptions; |
2089 | e++) |
2090 | { |
2091 | bool expect_e = (merged_exc & (1U << e)) != 0; |
2092 | bool e_optional = false; |
2093 | switch (e) |
2094 | { |
2095 | case exc_divbyzero: |
2096 | if (expect_e) |
2097 | may_erange = must_erange = true; |
2098 | break; |
2099 | |
2100 | case exc_inexact: |
2101 | if (!tf->exact) |
2102 | e_optional = true; |
2103 | break; |
2104 | |
2105 | case exc_invalid: |
2106 | if (expect_e) |
2107 | may_edom = must_edom = true; |
2108 | break; |
2109 | |
2110 | case exc_overflow: |
2111 | if (expect_e) |
2112 | may_erange = true; |
2113 | break; |
2114 | |
2115 | case exc_underflow: |
2116 | if (expect_e) |
2117 | may_erange = true; |
2118 | if (must_underflow) |
2119 | assert (expect_e); |
2120 | if (may_underflow && !must_underflow) |
2121 | e_optional = true; |
2122 | break; |
2123 | |
2124 | default: |
2125 | abort (); |
2126 | } |
2127 | if (e_optional) |
2128 | { |
2129 | assert (!before_after_matters); |
2130 | if (fprintf (stream: fp, format: " %s-ok" , exceptions[e]) < 0) |
2131 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2132 | filename); |
2133 | } |
2134 | else |
2135 | { |
2136 | if (expect_e) |
2137 | if (fprintf (stream: fp, format: " %s" , exceptions[e]) < 0) |
2138 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2139 | filename); |
2140 | if (before_after_matters && e == exc_underflow) |
2141 | if (fputs (s: ":before-rounding" , stream: fp) < 0) |
2142 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2143 | filename); |
2144 | for (int after = 0; after <= 1; after++) |
2145 | { |
2146 | bool expect_e_here = expect_e; |
2147 | if (after == 1 && (!before_after_matters |
2148 | || e != exc_underflow)) |
2149 | continue; |
2150 | const char *after_cond; |
2151 | if (before_after_matters && e == exc_underflow) |
2152 | { |
2153 | after_cond = (after |
2154 | ? ":after-rounding" |
2155 | : ":before-rounding" ); |
2156 | expect_e_here = !after; |
2157 | } |
2158 | else |
2159 | after_cond = "" ; |
2160 | input_flag_type okflag; |
2161 | okflag = (expect_e_here |
2162 | ? flag_missing_first |
2163 | : flag_spurious_first) + e; |
2164 | for (size_t i = 0; i < it->num_flags; i++) |
2165 | if (it->flags[i].type == okflag) |
2166 | if (fprintf (stream: fp, format: " %s-ok%s%s" , |
2167 | exceptions[e], |
2168 | (it->flags[i].cond |
2169 | ? it->flags[i].cond |
2170 | : "" ), after_cond) < 0) |
2171 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2172 | filename); |
2173 | } |
2174 | } |
2175 | } |
2176 | /* Print errno expectations. */ |
2177 | if (tf->complex_fn) |
2178 | { |
2179 | must_edom = false; |
2180 | must_erange = false; |
2181 | } |
2182 | if (may_edom && !must_edom) |
2183 | { |
2184 | if (fputs (s: " errno-edom-ok" , stream: fp) < 0) |
2185 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2186 | filename); |
2187 | } |
2188 | else |
2189 | { |
2190 | if (must_edom) |
2191 | if (fputs (s: " errno-edom" , stream: fp) < 0) |
2192 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2193 | filename); |
2194 | input_flag_type okflag = (must_edom |
2195 | ? flag_missing_errno |
2196 | : flag_spurious_errno); |
2197 | for (size_t i = 0; i < it->num_flags; i++) |
2198 | if (it->flags[i].type == okflag) |
2199 | if (fprintf (stream: fp, format: " errno-edom-ok%s" , |
2200 | (it->flags[i].cond |
2201 | ? it->flags[i].cond |
2202 | : "" )) < 0) |
2203 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2204 | filename); |
2205 | } |
2206 | if (before_after_matters) |
2207 | assert (may_erange && !must_erange); |
2208 | if (may_erange && !must_erange) |
2209 | { |
2210 | if (fprintf (stream: fp, format: " errno-erange-ok%s" , |
2211 | (before_after_matters |
2212 | ? ":before-rounding" |
2213 | : "" )) < 0) |
2214 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2215 | filename); |
2216 | } |
2217 | if (before_after_matters || !(may_erange && !must_erange)) |
2218 | { |
2219 | if (must_erange) |
2220 | if (fputs (s: " errno-erange" , stream: fp) < 0) |
2221 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2222 | filename); |
2223 | input_flag_type okflag = (must_erange |
2224 | ? flag_missing_errno |
2225 | : flag_spurious_errno); |
2226 | for (size_t i = 0; i < it->num_flags; i++) |
2227 | if (it->flags[i].type == okflag) |
2228 | if (fprintf (stream: fp, format: " errno-erange-ok%s%s" , |
2229 | (it->flags[i].cond |
2230 | ? it->flags[i].cond |
2231 | : "" ), |
2232 | (before_after_matters |
2233 | ? ":after-rounding" |
2234 | : "" )) < 0) |
2235 | error (EXIT_FAILURE, errno, format: "write to '%s'" , |
2236 | filename); |
2237 | } |
2238 | if (putc (c: '\n', stream: fp) < 0) |
2239 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
2240 | } |
2241 | for (size_t i = 0; i < tf->num_ret; i++) |
2242 | { |
2243 | if (generic_outputs[i].type == gtype_fp) |
2244 | for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++) |
2245 | mpfr_clear (all_res[i][m]); |
2246 | } |
2247 | } |
2248 | } |
2249 | out: |
2250 | for (size_t i = 0; i < tf->num_ret; i++) |
2251 | generic_value_free (v: &generic_outputs[i]); |
2252 | } |
2253 | |
2254 | /* Generate test output data for FUNCTION to FILENAME. The function |
2255 | is interpreted as rounding its results to a narrower type if |
2256 | NARROW. */ |
2257 | |
2258 | static void |
2259 | generate_output (const char *function, bool narrow, const char *filename) |
2260 | { |
2261 | FILE *fp = fopen (filename: filename, modes: "w" ); |
2262 | if (fp == NULL) |
2263 | error (EXIT_FAILURE, errno, format: "open '%s'" , filename); |
2264 | for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++) |
2265 | { |
2266 | test_function *tf = &test_functions[i]; |
2267 | if (strcmp (s1: tf->name, s2: function) != 0) |
2268 | continue; |
2269 | for (size_t j = 0; j < tf->num_tests; j++) |
2270 | { |
2271 | input_test *it = &tf->tests[j]; |
2272 | if (fputs (s: it->line, stream: fp) < 0) |
2273 | error (EXIT_FAILURE, errno, format: "write to '%s'" , filename); |
2274 | for (size_t k = 0; k < it->num_input_cases; k++) |
2275 | output_for_one_input_case (fp, filename, tf, narrow, |
2276 | it, inputs: it->inputs[k]); |
2277 | } |
2278 | } |
2279 | if (fclose (stream: fp) != 0) |
2280 | error (EXIT_FAILURE, errno, format: "close '%s'" , filename); |
2281 | } |
2282 | |
2283 | int |
2284 | main (int argc, char **argv) |
2285 | { |
2286 | if (argc != 4 |
2287 | && !(argc == 5 && strcmp (s1: argv[1], s2: "--narrow" ) == 0)) |
2288 | error (EXIT_FAILURE, errnum: 0, |
2289 | format: "usage: gen-auto-libm-tests [--narrow] <input> <func> <output>" ); |
2290 | bool narrow; |
2291 | const char *input_filename = argv[1]; |
2292 | const char *function = argv[2]; |
2293 | const char *output_filename = argv[3]; |
2294 | if (argc == 4) |
2295 | { |
2296 | narrow = false; |
2297 | input_filename = argv[1]; |
2298 | function = argv[2]; |
2299 | output_filename = argv[3]; |
2300 | } |
2301 | else |
2302 | { |
2303 | narrow = true; |
2304 | input_filename = argv[2]; |
2305 | function = argv[3]; |
2306 | output_filename = argv[4]; |
2307 | } |
2308 | init_fp_formats (); |
2309 | read_input (filename: input_filename); |
2310 | generate_output (function, narrow, filename: output_filename); |
2311 | exit (EXIT_SUCCESS); |
2312 | } |
2313 | |