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Commit | Line | Data |
---|---|---|
30a4e827 MT |
1 | diff -Nrup a/math/libm-test.inc b/math/libm-test.inc |
2 | --- a/math/libm-test.inc 2010-05-04 05:27:23.000000000 -0600 | |
3 | +++ b/math/libm-test.inc 2012-08-06 09:54:00.821929695 -0600 | |
4 | @@ -2018,6 +2018,142 @@ cos_test (void) | |
5 | ||
6 | ||
7 | static void | |
8 | +cos_test_tonearest (void) | |
9 | +{ | |
10 | + int save_round_mode; | |
11 | + errno = 0; | |
12 | + FUNC(cos) (0); | |
13 | + if (errno == ENOSYS) | |
14 | + /* Function not implemented. */ | |
15 | + return; | |
16 | + | |
17 | + START (cos_tonearest); | |
18 | + | |
19 | + save_round_mode = fegetround (); | |
20 | + | |
21 | + if (!fesetround (FE_TONEAREST)) | |
22 | + { | |
23 | + TEST_f_f (cos, 1, 0.5403023058681397174009366074429766037323L); | |
24 | + TEST_f_f (cos, 2, -0.4161468365471423869975682295007621897660L); | |
25 | + TEST_f_f (cos, 3, -0.9899924966004454572715727947312613023937L); | |
26 | + TEST_f_f (cos, 4, -0.6536436208636119146391681830977503814241L); | |
27 | + TEST_f_f (cos, 5, 0.2836621854632262644666391715135573083344L); | |
28 | + TEST_f_f (cos, 6, 0.9601702866503660205456522979229244054519L); | |
29 | + TEST_f_f (cos, 7, 0.7539022543433046381411975217191820122183L); | |
30 | + TEST_f_f (cos, 8, -0.1455000338086135258688413818311946826093L); | |
31 | + TEST_f_f (cos, 9, -0.9111302618846769883682947111811653112463L); | |
32 | + TEST_f_f (cos, 10, -0.8390715290764524522588639478240648345199L); | |
33 | + } | |
34 | + | |
35 | + fesetround (save_round_mode); | |
36 | + | |
37 | + END (cos_tonearest); | |
38 | +} | |
39 | + | |
40 | + | |
41 | +static void | |
42 | +cos_test_towardzero (void) | |
43 | +{ | |
44 | + int save_round_mode; | |
45 | + errno = 0; | |
46 | + FUNC(cos) (0); | |
47 | + if (errno == ENOSYS) | |
48 | + /* Function not implemented. */ | |
49 | + return; | |
50 | + | |
51 | + START (cos_towardzero); | |
52 | + | |
53 | + save_round_mode = fegetround (); | |
54 | + | |
55 | + if (!fesetround (FE_TOWARDZERO)) | |
56 | + { | |
57 | + TEST_f_f (cos, 1, 0.5403023058681397174009366074429766037323L); | |
58 | + TEST_f_f (cos, 2, -0.4161468365471423869975682295007621897660L); | |
59 | + TEST_f_f (cos, 3, -0.9899924966004454572715727947312613023937L); | |
60 | + TEST_f_f (cos, 4, -0.6536436208636119146391681830977503814241L); | |
61 | + TEST_f_f (cos, 5, 0.2836621854632262644666391715135573083344L); | |
62 | + TEST_f_f (cos, 6, 0.9601702866503660205456522979229244054519L); | |
63 | + TEST_f_f (cos, 7, 0.7539022543433046381411975217191820122183L); | |
64 | + TEST_f_f (cos, 8, -0.1455000338086135258688413818311946826093L); | |
65 | + TEST_f_f (cos, 9, -0.9111302618846769883682947111811653112463L); | |
66 | + TEST_f_f (cos, 10, -0.8390715290764524522588639478240648345199L); | |
67 | + } | |
68 | + | |
69 | + fesetround (save_round_mode); | |
70 | + | |
71 | + END (cos_towardzero); | |
72 | +} | |
73 | + | |
74 | + | |
75 | +static void | |
76 | +cos_test_downward (void) | |
77 | +{ | |
78 | + int save_round_mode; | |
79 | + errno = 0; | |
80 | + FUNC(cos) (0); | |
81 | + if (errno == ENOSYS) | |
82 | + /* Function not implemented. */ | |
83 | + return; | |
84 | + | |
85 | + START (cos_downward); | |
86 | + | |
87 | + save_round_mode = fegetround (); | |
88 | + | |
89 | + if (!fesetround (FE_DOWNWARD)) | |
90 | + { | |
91 | + TEST_f_f (cos, 1, 0.5403023058681397174009366074429766037323L); | |
92 | + TEST_f_f (cos, 2, -0.4161468365471423869975682295007621897660L); | |
93 | + TEST_f_f (cos, 3, -0.9899924966004454572715727947312613023937L); | |
94 | + TEST_f_f (cos, 4, -0.6536436208636119146391681830977503814241L); | |
95 | + TEST_f_f (cos, 5, 0.2836621854632262644666391715135573083344L); | |
96 | + TEST_f_f (cos, 6, 0.9601702866503660205456522979229244054519L); | |
97 | + TEST_f_f (cos, 7, 0.7539022543433046381411975217191820122183L); | |
98 | + TEST_f_f (cos, 8, -0.1455000338086135258688413818311946826093L); | |
99 | + TEST_f_f (cos, 9, -0.9111302618846769883682947111811653112463L); | |
100 | + TEST_f_f (cos, 10, -0.8390715290764524522588639478240648345199L); | |
101 | + } | |
102 | + | |
103 | + fesetround (save_round_mode); | |
104 | + | |
105 | + END (cos_downward); | |
106 | +} | |
107 | + | |
108 | + | |
109 | +static void | |
110 | +cos_test_upward (void) | |
111 | +{ | |
112 | + int save_round_mode; | |
113 | + errno = 0; | |
114 | + FUNC(cos) (0); | |
115 | + if (errno == ENOSYS) | |
116 | + /* Function not implemented. */ | |
117 | + return; | |
118 | + | |
119 | + START (cos_upward); | |
120 | + | |
121 | + save_round_mode = fegetround (); | |
122 | + | |
123 | + if (!fesetround (FE_UPWARD)) | |
124 | + { | |
125 | + TEST_f_f (cos, 1, 0.5403023058681397174009366074429766037323L); | |
126 | + TEST_f_f (cos, 2, -0.4161468365471423869975682295007621897660L); | |
127 | + TEST_f_f (cos, 3, -0.9899924966004454572715727947312613023937L); | |
128 | + TEST_f_f (cos, 4, -0.6536436208636119146391681830977503814241L); | |
129 | + TEST_f_f (cos, 5, 0.2836621854632262644666391715135573083344L); | |
130 | + TEST_f_f (cos, 6, 0.9601702866503660205456522979229244054519L); | |
131 | + TEST_f_f (cos, 7, 0.7539022543433046381411975217191820122183L); | |
132 | + TEST_f_f (cos, 8, -0.1455000338086135258688413818311946826093L); | |
133 | + TEST_f_f (cos, 9, -0.9111302618846769883682947111811653112463L); | |
134 | + TEST_f_f (cos, 10, -0.8390715290764524522588639478240648345199L); | |
135 | + } | |
136 | + | |
137 | + fesetround (save_round_mode); | |
138 | + | |
139 | + END (cos_upward); | |
140 | +} | |
141 | + | |
142 | + | |
143 | +static void | |
144 | cosh_test (void) | |
145 | { | |
146 | errno = 0; | |
147 | @@ -2043,6 +2179,114 @@ cosh_test (void) | |
148 | ||
149 | ||
150 | static void | |
151 | +cosh_test_tonearest (void) | |
152 | +{ | |
153 | + int save_round_mode; | |
154 | + errno = 0; | |
155 | + FUNC(cosh) (0); | |
156 | + if (errno == ENOSYS) | |
157 | + /* Function not implemented. */ | |
158 | + return; | |
159 | + | |
160 | + START (cosh_tonearest); | |
161 | + | |
162 | + save_round_mode = fegetround (); | |
163 | + | |
164 | + if (!fesetround (FE_TONEAREST)) | |
165 | + { | |
166 | + TEST_f_f (cosh, 22, 1792456423.065795780980053377632656584997L); | |
167 | + TEST_f_f (cosh, 23, 4872401723.124451300068625740569997090344L); | |
168 | + TEST_f_f (cosh, 24, 13244561064.92173614708845674912733665919L); | |
169 | + } | |
170 | + | |
171 | + fesetround (save_round_mode); | |
172 | + | |
173 | + END (cosh_tonearest); | |
174 | +} | |
175 | + | |
176 | + | |
177 | +static void | |
178 | +cosh_test_towardzero (void) | |
179 | +{ | |
180 | + int save_round_mode; | |
181 | + errno = 0; | |
182 | + FUNC(cosh) (0); | |
183 | + if (errno == ENOSYS) | |
184 | + /* Function not implemented. */ | |
185 | + return; | |
186 | + | |
187 | + START (cosh_towardzero); | |
188 | + | |
189 | + save_round_mode = fegetround (); | |
190 | + | |
191 | + if (!fesetround (FE_TOWARDZERO)) | |
192 | + { | |
193 | + TEST_f_f (cosh, 22, 1792456423.065795780980053377632656584997L); | |
194 | + TEST_f_f (cosh, 23, 4872401723.124451300068625740569997090344L); | |
195 | + TEST_f_f (cosh, 24, 13244561064.92173614708845674912733665919L); | |
196 | + } | |
197 | + | |
198 | + fesetround (save_round_mode); | |
199 | + | |
200 | + END (cosh_towardzero); | |
201 | +} | |
202 | + | |
203 | + | |
204 | +static void | |
205 | +cosh_test_downward (void) | |
206 | +{ | |
207 | + int save_round_mode; | |
208 | + errno = 0; | |
209 | + FUNC(cosh) (0); | |
210 | + if (errno == ENOSYS) | |
211 | + /* Function not implemented. */ | |
212 | + return; | |
213 | + | |
214 | + START (cosh_downward); | |
215 | + | |
216 | + save_round_mode = fegetround (); | |
217 | + | |
218 | + if (!fesetround (FE_DOWNWARD)) | |
219 | + { | |
220 | + TEST_f_f (cosh, 22, 1792456423.065795780980053377632656584997L); | |
221 | + TEST_f_f (cosh, 23, 4872401723.124451300068625740569997090344L); | |
222 | + TEST_f_f (cosh, 24, 13244561064.92173614708845674912733665919L); | |
223 | + } | |
224 | + | |
225 | + fesetround (save_round_mode); | |
226 | + | |
227 | + END (cosh_downward); | |
228 | +} | |
229 | + | |
230 | + | |
231 | +static void | |
232 | +cosh_test_upward (void) | |
233 | +{ | |
234 | + int save_round_mode; | |
235 | + errno = 0; | |
236 | + FUNC(cosh) (0); | |
237 | + if (errno == ENOSYS) | |
238 | + /* Function not implemented. */ | |
239 | + return; | |
240 | + | |
241 | + START (cosh_upward); | |
242 | + | |
243 | + save_round_mode = fegetround (); | |
244 | + | |
245 | + if (!fesetround (FE_UPWARD)) | |
246 | + { | |
247 | + TEST_f_f (cosh, 22, 1792456423.065795780980053377632656584997L); | |
248 | + TEST_f_f (cosh, 23, 4872401723.124451300068625740569997090344L); | |
249 | + TEST_f_f (cosh, 24, 13244561064.92173614708845674912733665919L); | |
250 | + } | |
251 | + | |
252 | + fesetround (save_round_mode); | |
253 | + | |
254 | + END (cosh_upward); | |
255 | +} | |
256 | + | |
257 | + | |
258 | +static void | |
259 | cpow_test (void) | |
260 | { | |
261 | errno = 0; | |
262 | @@ -2527,6 +2771,114 @@ exp_test (void) | |
263 | ||
264 | ||
265 | static void | |
266 | +exp_test_tonearest (void) | |
267 | +{ | |
268 | + int save_round_mode; | |
269 | + errno = 0; | |
270 | + FUNC(exp) (0); | |
271 | + if (errno == ENOSYS) | |
272 | + /* Function not implemented. */ | |
273 | + return; | |
274 | + | |
275 | + START (exp_tonearest); | |
276 | + | |
277 | + save_round_mode = fegetround (); | |
278 | + | |
279 | + if (!fesetround (FE_TONEAREST)) | |
280 | + { | |
281 | + TEST_f_f (exp, 1, M_El); | |
282 | + TEST_f_f (exp, 2, M_E2l); | |
283 | + TEST_f_f (exp, 3, M_E3l); | |
284 | + } | |
285 | + | |
286 | + fesetround (save_round_mode); | |
287 | + | |
288 | + END (exp_tonearest); | |
289 | +} | |
290 | + | |
291 | + | |
292 | +static void | |
293 | +exp_test_towardzero (void) | |
294 | +{ | |
295 | + int save_round_mode; | |
296 | + errno = 0; | |
297 | + FUNC(exp) (0); | |
298 | + if (errno == ENOSYS) | |
299 | + /* Function not implemented. */ | |
300 | + return; | |
301 | + | |
302 | + START (exp_towardzero); | |
303 | + | |
304 | + save_round_mode = fegetround (); | |
305 | + | |
306 | + if (!fesetround (FE_TOWARDZERO)) | |
307 | + { | |
308 | + TEST_f_f (exp, 1, M_El); | |
309 | + TEST_f_f (exp, 2, M_E2l); | |
310 | + TEST_f_f (exp, 3, M_E3l); | |
311 | + } | |
312 | + | |
313 | + fesetround (save_round_mode); | |
314 | + | |
315 | + END (exp_towardzero); | |
316 | +} | |
317 | + | |
318 | + | |
319 | +static void | |
320 | +exp_test_downward (void) | |
321 | +{ | |
322 | + int save_round_mode; | |
323 | + errno = 0; | |
324 | + FUNC(exp) (0); | |
325 | + if (errno == ENOSYS) | |
326 | + /* Function not implemented. */ | |
327 | + return; | |
328 | + | |
329 | + START (exp_downward); | |
330 | + | |
331 | + save_round_mode = fegetround (); | |
332 | + | |
333 | + if (!fesetround (FE_DOWNWARD)) | |
334 | + { | |
335 | + TEST_f_f (exp, 1, M_El); | |
336 | + TEST_f_f (exp, 2, M_E2l); | |
337 | + TEST_f_f (exp, 3, M_E3l); | |
338 | + } | |
339 | + | |
340 | + fesetround (save_round_mode); | |
341 | + | |
342 | + END (exp_downward); | |
343 | +} | |
344 | + | |
345 | + | |
346 | +static void | |
347 | +exp_test_upward (void) | |
348 | +{ | |
349 | + int save_round_mode; | |
350 | + errno = 0; | |
351 | + FUNC(exp) (0); | |
352 | + if (errno == ENOSYS) | |
353 | + /* Function not implemented. */ | |
354 | + return; | |
355 | + | |
356 | + START (exp_upward); | |
357 | + | |
358 | + save_round_mode = fegetround (); | |
359 | + | |
360 | + if (!fesetround (FE_UPWARD)) | |
361 | + { | |
362 | + TEST_f_f (exp, 1, M_El); | |
363 | + TEST_f_f (exp, 2, M_E2l); | |
364 | + TEST_f_f (exp, 3, M_E3l); | |
365 | + } | |
366 | + | |
367 | + fesetround (save_round_mode); | |
368 | + | |
369 | + END (exp_upward); | |
370 | +} | |
371 | + | |
372 | + | |
373 | +static void | |
374 | exp10_test (void) | |
375 | { | |
376 | errno = 0; | |
377 | @@ -4848,22 +5200,127 @@ pow_test (void) | |
378 | END (pow); | |
379 | } | |
380 | ||
381 | + | |
382 | static void | |
383 | -remainder_test (void) | |
384 | +pow_test_tonearest (void) | |
385 | { | |
386 | + int save_round_mode; | |
387 | errno = 0; | |
388 | - FUNC(remainder) (1.625, 1.0); | |
389 | + FUNC(pow) (0, 0); | |
390 | if (errno == ENOSYS) | |
391 | /* Function not implemented. */ | |
392 | return; | |
393 | ||
394 | - START (remainder); | |
395 | + START (pow_tonearest); | |
396 | ||
397 | - TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION); | |
398 | - TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION); | |
399 | - TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION); | |
400 | - TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION); | |
401 | - TEST_ff_f (remainder, nan_value, nan_value, nan_value); | |
402 | + save_round_mode = fegetround (); | |
403 | + | |
404 | + if (!fesetround (FE_TONEAREST)) | |
405 | + { | |
406 | + TEST_ff_f (pow, 1.0625L, 1.125L, 1.070582293028761362162622578677070098674L); | |
407 | + TEST_ff_f (pow, 1.5L, 1.03125L, 1.519127098714743184071644334163037684948L); | |
408 | + } | |
409 | + | |
410 | + fesetround (save_round_mode); | |
411 | + | |
412 | + END (pow_tonearest); | |
413 | +} | |
414 | + | |
415 | + | |
416 | +static void | |
417 | +pow_test_towardzero (void) | |
418 | +{ | |
419 | + int save_round_mode; | |
420 | + errno = 0; | |
421 | + FUNC(pow) (0, 0); | |
422 | + if (errno == ENOSYS) | |
423 | + /* Function not implemented. */ | |
424 | + return; | |
425 | + | |
426 | + START (pow_towardzero); | |
427 | + | |
428 | + save_round_mode = fegetround (); | |
429 | + | |
430 | + if (!fesetround (FE_TOWARDZERO)) | |
431 | + { | |
432 | + TEST_ff_f (pow, 1.0625L, 1.125L, 1.070582293028761362162622578677070098674L); | |
433 | + TEST_ff_f (pow, 1.5L, 1.03125L, 1.519127098714743184071644334163037684948L); | |
434 | + } | |
435 | + | |
436 | + fesetround (save_round_mode); | |
437 | + | |
438 | + END (pow_towardzero); | |
439 | +} | |
440 | + | |
441 | + | |
442 | +static void | |
443 | +pow_test_downward (void) | |
444 | +{ | |
445 | + int save_round_mode; | |
446 | + errno = 0; | |
447 | + FUNC(pow) (0, 0); | |
448 | + if (errno == ENOSYS) | |
449 | + /* Function not implemented. */ | |
450 | + return; | |
451 | + | |
452 | + START (pow_downward); | |
453 | + | |
454 | + save_round_mode = fegetround (); | |
455 | + | |
456 | + if (!fesetround (FE_DOWNWARD)) | |
457 | + { | |
458 | + TEST_ff_f (pow, 1.0625L, 1.125L, 1.070582293028761362162622578677070098674L); | |
459 | + TEST_ff_f (pow, 1.5L, 1.03125L, 1.519127098714743184071644334163037684948L); | |
460 | + } | |
461 | + | |
462 | + fesetround (save_round_mode); | |
463 | + | |
464 | + END (pow_downward); | |
465 | +} | |
466 | + | |
467 | + | |
468 | +static void | |
469 | +pow_test_upward (void) | |
470 | +{ | |
471 | + int save_round_mode; | |
472 | + errno = 0; | |
473 | + FUNC(pow) (0, 0); | |
474 | + if (errno == ENOSYS) | |
475 | + /* Function not implemented. */ | |
476 | + return; | |
477 | + | |
478 | + START (pow_upward); | |
479 | + | |
480 | + save_round_mode = fegetround (); | |
481 | + | |
482 | + if (!fesetround (FE_UPWARD)) | |
483 | + { | |
484 | + TEST_ff_f (pow, 1.0625L, 1.125L, 1.070582293028761362162622578677070098674L); | |
485 | + TEST_ff_f (pow, 1.5L, 1.03125L, 1.519127098714743184071644334163037684948L); | |
486 | + } | |
487 | + | |
488 | + fesetround (save_round_mode); | |
489 | + | |
490 | + END (pow_upward); | |
491 | +} | |
492 | + | |
493 | + | |
494 | +static void | |
495 | +remainder_test (void) | |
496 | +{ | |
497 | + errno = 0; | |
498 | + FUNC(remainder) (1.625, 1.0); | |
499 | + if (errno == ENOSYS) | |
500 | + /* Function not implemented. */ | |
501 | + return; | |
502 | + | |
503 | + START (remainder); | |
504 | + | |
505 | + TEST_ff_f (remainder, 1, 0, nan_value, INVALID_EXCEPTION); | |
506 | + TEST_ff_f (remainder, 1, minus_zero, nan_value, INVALID_EXCEPTION); | |
507 | + TEST_ff_f (remainder, plus_infty, 1, nan_value, INVALID_EXCEPTION); | |
508 | + TEST_ff_f (remainder, minus_infty, 1, nan_value, INVALID_EXCEPTION); | |
509 | + TEST_ff_f (remainder, nan_value, nan_value, nan_value); | |
510 | ||
511 | TEST_ff_f (remainder, 1.625, 1.0, -0.375); | |
512 | TEST_ff_f (remainder, -1.625, 1.0, 0.375); | |
513 | @@ -5545,6 +6002,7 @@ sin_test (void) | |
514 | ||
515 | #ifdef TEST_DOUBLE | |
516 | TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868); | |
517 | + TEST_f_f (sin, 2.522464e-1, 2.4957989804940911e-1); | |
518 | #endif | |
519 | ||
520 | END (sin); | |
521 | @@ -5553,6 +6011,142 @@ sin_test (void) | |
522 | ||
523 | ||
524 | static void | |
525 | +sin_test_tonearest (void) | |
526 | +{ | |
527 | + int save_round_mode; | |
528 | + errno = 0; | |
529 | + FUNC(sin) (0); | |
530 | + if (errno == ENOSYS) | |
531 | + /* Function not implemented. */ | |
532 | + return; | |
533 | + | |
534 | + START (sin_tonearest); | |
535 | + | |
536 | + save_round_mode = fegetround (); | |
537 | + | |
538 | + if (!fesetround (FE_TONEAREST)) | |
539 | + { | |
540 | + TEST_f_f (sin, 1, 0.8414709848078965066525023216302989996226L); | |
541 | + TEST_f_f (sin, 2, 0.9092974268256816953960198659117448427023L); | |
542 | + TEST_f_f (sin, 3, 0.1411200080598672221007448028081102798469L); | |
543 | + TEST_f_f (sin, 4, -0.7568024953079282513726390945118290941359L); | |
544 | + TEST_f_f (sin, 5, -0.9589242746631384688931544061559939733525L); | |
545 | + TEST_f_f (sin, 6, -0.2794154981989258728115554466118947596280L); | |
546 | + TEST_f_f (sin, 7, 0.6569865987187890903969990915936351779369L); | |
547 | + TEST_f_f (sin, 8, 0.9893582466233817778081235982452886721164L); | |
548 | + TEST_f_f (sin, 9, 0.4121184852417565697562725663524351793439L); | |
549 | + TEST_f_f (sin, 10, -0.5440211108893698134047476618513772816836L); | |
550 | + } | |
551 | + | |
552 | + fesetround (save_round_mode); | |
553 | + | |
554 | + END (sin_tonearest); | |
555 | +} | |
556 | + | |
557 | + | |
558 | +static void | |
559 | +sin_test_towardzero (void) | |
560 | +{ | |
561 | + int save_round_mode; | |
562 | + errno = 0; | |
563 | + FUNC(sin) (0); | |
564 | + if (errno == ENOSYS) | |
565 | + /* Function not implemented. */ | |
566 | + return; | |
567 | + | |
568 | + START (sin_towardzero); | |
569 | + | |
570 | + save_round_mode = fegetround (); | |
571 | + | |
572 | + if (!fesetround (FE_TOWARDZERO)) | |
573 | + { | |
574 | + TEST_f_f (sin, 1, 0.8414709848078965066525023216302989996226L); | |
575 | + TEST_f_f (sin, 2, 0.9092974268256816953960198659117448427023L); | |
576 | + TEST_f_f (sin, 3, 0.1411200080598672221007448028081102798469L); | |
577 | + TEST_f_f (sin, 4, -0.7568024953079282513726390945118290941359L); | |
578 | + TEST_f_f (sin, 5, -0.9589242746631384688931544061559939733525L); | |
579 | + TEST_f_f (sin, 6, -0.2794154981989258728115554466118947596280L); | |
580 | + TEST_f_f (sin, 7, 0.6569865987187890903969990915936351779369L); | |
581 | + TEST_f_f (sin, 8, 0.9893582466233817778081235982452886721164L); | |
582 | + TEST_f_f (sin, 9, 0.4121184852417565697562725663524351793439L); | |
583 | + TEST_f_f (sin, 10, -0.5440211108893698134047476618513772816836L); | |
584 | + } | |
585 | + | |
586 | + fesetround (save_round_mode); | |
587 | + | |
588 | + END (sin_towardzero); | |
589 | +} | |
590 | + | |
591 | + | |
592 | +static void | |
593 | +sin_test_downward (void) | |
594 | +{ | |
595 | + int save_round_mode; | |
596 | + errno = 0; | |
597 | + FUNC(sin) (0); | |
598 | + if (errno == ENOSYS) | |
599 | + /* Function not implemented. */ | |
600 | + return; | |
601 | + | |
602 | + START (sin_downward); | |
603 | + | |
604 | + save_round_mode = fegetround (); | |
605 | + | |
606 | + if (!fesetround (FE_DOWNWARD)) | |
607 | + { | |
608 | + TEST_f_f (sin, 1, 0.8414709848078965066525023216302989996226L); | |
609 | + TEST_f_f (sin, 2, 0.9092974268256816953960198659117448427023L); | |
610 | + TEST_f_f (sin, 3, 0.1411200080598672221007448028081102798469L); | |
611 | + TEST_f_f (sin, 4, -0.7568024953079282513726390945118290941359L); | |
612 | + TEST_f_f (sin, 5, -0.9589242746631384688931544061559939733525L); | |
613 | + TEST_f_f (sin, 6, -0.2794154981989258728115554466118947596280L); | |
614 | + TEST_f_f (sin, 7, 0.6569865987187890903969990915936351779369L); | |
615 | + TEST_f_f (sin, 8, 0.9893582466233817778081235982452886721164L); | |
616 | + TEST_f_f (sin, 9, 0.4121184852417565697562725663524351793439L); | |
617 | + TEST_f_f (sin, 10, -0.5440211108893698134047476618513772816836L); | |
618 | + } | |
619 | + | |
620 | + fesetround (save_round_mode); | |
621 | + | |
622 | + END (sin_downward); | |
623 | +} | |
624 | + | |
625 | + | |
626 | +static void | |
627 | +sin_test_upward (void) | |
628 | +{ | |
629 | + int save_round_mode; | |
630 | + errno = 0; | |
631 | + FUNC(sin) (0); | |
632 | + if (errno == ENOSYS) | |
633 | + /* Function not implemented. */ | |
634 | + return; | |
635 | + | |
636 | + START (sin_upward); | |
637 | + | |
638 | + save_round_mode = fegetround (); | |
639 | + | |
640 | + if (!fesetround (FE_UPWARD)) | |
641 | + { | |
642 | + TEST_f_f (sin, 1, 0.8414709848078965066525023216302989996226L); | |
643 | + TEST_f_f (sin, 2, 0.9092974268256816953960198659117448427023L); | |
644 | + TEST_f_f (sin, 3, 0.1411200080598672221007448028081102798469L); | |
645 | + TEST_f_f (sin, 4, -0.7568024953079282513726390945118290941359L); | |
646 | + TEST_f_f (sin, 5, -0.9589242746631384688931544061559939733525L); | |
647 | + TEST_f_f (sin, 6, -0.2794154981989258728115554466118947596280L); | |
648 | + TEST_f_f (sin, 7, 0.6569865987187890903969990915936351779369L); | |
649 | + TEST_f_f (sin, 8, 0.9893582466233817778081235982452886721164L); | |
650 | + TEST_f_f (sin, 9, 0.4121184852417565697562725663524351793439L); | |
651 | + TEST_f_f (sin, 10, -0.5440211108893698134047476618513772816836L); | |
652 | + } | |
653 | + | |
654 | + fesetround (save_round_mode); | |
655 | + | |
656 | + END (sin_upward); | |
657 | +} | |
658 | + | |
659 | + | |
660 | +static void | |
661 | sincos_test (void) | |
662 | { | |
663 | FLOAT sin_res, cos_res; | |
664 | @@ -5610,6 +6204,115 @@ sinh_test (void) | |
665 | END (sinh); | |
666 | } | |
667 | ||
668 | + | |
669 | +static void | |
670 | +sinh_test_tonearest (void) | |
671 | +{ | |
672 | + int save_round_mode; | |
673 | + errno = 0; | |
674 | + FUNC(sinh) (0); | |
675 | + if (errno == ENOSYS) | |
676 | + /* Function not implemented. */ | |
677 | + return; | |
678 | + | |
679 | + START (sinh_tonearest); | |
680 | + | |
681 | + save_round_mode = fegetround (); | |
682 | + | |
683 | + if (!fesetround (FE_TONEAREST)) | |
684 | + { | |
685 | + TEST_f_f (sinh, 22, 1792456423.065795780701106568345764104225L); | |
686 | + TEST_f_f (sinh, 23, 4872401723.124451299966006944252978187305L); | |
687 | + TEST_f_f (sinh, 24, 13244561064.92173614705070540368454568168L); | |
688 | + } | |
689 | + | |
690 | + fesetround (save_round_mode); | |
691 | + | |
692 | + END (sinh_tonearest); | |
693 | +} | |
694 | + | |
695 | + | |
696 | +static void | |
697 | +sinh_test_towardzero (void) | |
698 | +{ | |
699 | + int save_round_mode; | |
700 | + errno = 0; | |
701 | + FUNC(sinh) (0); | |
702 | + if (errno == ENOSYS) | |
703 | + /* Function not implemented. */ | |
704 | + return; | |
705 | + | |
706 | + START (sinh_towardzero); | |
707 | + | |
708 | + save_round_mode = fegetround (); | |
709 | + | |
710 | + if (!fesetround (FE_TOWARDZERO)) | |
711 | + { | |
712 | + TEST_f_f (sinh, 22, 1792456423.065795780701106568345764104225L); | |
713 | + TEST_f_f (sinh, 23, 4872401723.124451299966006944252978187305L); | |
714 | + TEST_f_f (sinh, 24, 13244561064.92173614705070540368454568168L); | |
715 | + } | |
716 | + | |
717 | + fesetround (save_round_mode); | |
718 | + | |
719 | + END (sinh_towardzero); | |
720 | +} | |
721 | + | |
722 | + | |
723 | +static void | |
724 | +sinh_test_downward (void) | |
725 | +{ | |
726 | + int save_round_mode; | |
727 | + errno = 0; | |
728 | + FUNC(sinh) (0); | |
729 | + if (errno == ENOSYS) | |
730 | + /* Function not implemented. */ | |
731 | + return; | |
732 | + | |
733 | + START (sinh_downward); | |
734 | + | |
735 | + save_round_mode = fegetround (); | |
736 | + | |
737 | + if (!fesetround (FE_DOWNWARD)) | |
738 | + { | |
739 | + TEST_f_f (sinh, 22, 1792456423.065795780701106568345764104225L); | |
740 | + TEST_f_f (sinh, 23, 4872401723.124451299966006944252978187305L); | |
741 | + TEST_f_f (sinh, 24, 13244561064.92173614705070540368454568168L); | |
742 | + } | |
743 | + | |
744 | + fesetround (save_round_mode); | |
745 | + | |
746 | + END (sinh_downward); | |
747 | +} | |
748 | + | |
749 | + | |
750 | +static void | |
751 | +sinh_test_upward (void) | |
752 | +{ | |
753 | + int save_round_mode; | |
754 | + errno = 0; | |
755 | + FUNC(sinh) (0); | |
756 | + if (errno == ENOSYS) | |
757 | + /* Function not implemented. */ | |
758 | + return; | |
759 | + | |
760 | + START (sinh_upward); | |
761 | + | |
762 | + save_round_mode = fegetround (); | |
763 | + | |
764 | + if (!fesetround (FE_UPWARD)) | |
765 | + { | |
766 | + TEST_f_f (sinh, 22, 1792456423.065795780701106568345764104225L); | |
767 | + TEST_f_f (sinh, 23, 4872401723.124451299966006944252978187305L); | |
768 | + TEST_f_f (sinh, 24, 13244561064.92173614705070540368454568168L); | |
769 | + } | |
770 | + | |
771 | + fesetround (save_round_mode); | |
772 | + | |
773 | + END (sinh_upward); | |
774 | +} | |
775 | + | |
776 | + | |
777 | static void | |
778 | sqrt_test (void) | |
779 | { | |
780 | @@ -5673,6 +6376,143 @@ tan_test (void) | |
781 | END (tan); | |
782 | } | |
783 | ||
784 | + | |
785 | +static void | |
786 | +tan_test_tonearest (void) | |
787 | +{ | |
788 | + int save_round_mode; | |
789 | + errno = 0; | |
790 | + FUNC(tan) (0); | |
791 | + if (errno == ENOSYS) | |
792 | + /* Function not implemented. */ | |
793 | + return; | |
794 | + | |
795 | + START (tan_tonearest); | |
796 | + | |
797 | + save_round_mode = fegetround (); | |
798 | + | |
799 | + if (!fesetround (FE_TONEAREST)) | |
800 | + { | |
801 | + TEST_f_f (tan, 1, 1.5574077246549022305069748074583601730873L); | |
802 | + TEST_f_f (tan, 2, -2.1850398632615189916433061023136825434320L); | |
803 | + TEST_f_f (tan, 3, -0.1425465430742778052956354105339134932261L); | |
804 | + TEST_f_f (tan, 4, 1.1578212823495775831373424182673239231198L); | |
805 | + TEST_f_f (tan, 5, -3.3805150062465856369827058794473439087096L); | |
806 | + TEST_f_f (tan, 6, -0.2910061913847491570536995888681755428312L); | |
807 | + TEST_f_f (tan, 7, 0.8714479827243187364564508896003135663222L); | |
808 | + TEST_f_f (tan, 8, -6.7997114552203786999252627596086333648814L); | |
809 | + TEST_f_f (tan, 9, -0.4523156594418098405903708757987855343087L); | |
810 | + TEST_f_f (tan, 10, 0.6483608274590866712591249330098086768169L); | |
811 | + } | |
812 | + | |
813 | + fesetround (save_round_mode); | |
814 | + | |
815 | + END (tan_tonearest); | |
816 | +} | |
817 | + | |
818 | + | |
819 | +static void | |
820 | +tan_test_towardzero (void) | |
821 | +{ | |
822 | + int save_round_mode; | |
823 | + errno = 0; | |
824 | + FUNC(tan) (0); | |
825 | + if (errno == ENOSYS) | |
826 | + /* Function not implemented. */ | |
827 | + return; | |
828 | + | |
829 | + START (tan_towardzero); | |
830 | + | |
831 | + save_round_mode = fegetround (); | |
832 | + | |
833 | + if (!fesetround (FE_TOWARDZERO)) | |
834 | + { | |
835 | + TEST_f_f (tan, 1, 1.5574077246549022305069748074583601730873L); | |
836 | + TEST_f_f (tan, 2, -2.1850398632615189916433061023136825434320L); | |
837 | + TEST_f_f (tan, 3, -0.1425465430742778052956354105339134932261L); | |
838 | + TEST_f_f (tan, 4, 1.1578212823495775831373424182673239231198L); | |
839 | + TEST_f_f (tan, 5, -3.3805150062465856369827058794473439087096L); | |
840 | + TEST_f_f (tan, 6, -0.2910061913847491570536995888681755428312L); | |
841 | + TEST_f_f (tan, 7, 0.8714479827243187364564508896003135663222L); | |
842 | + TEST_f_f (tan, 8, -6.7997114552203786999252627596086333648814L); | |
843 | + TEST_f_f (tan, 9, -0.4523156594418098405903708757987855343087L); | |
844 | + TEST_f_f (tan, 10, 0.6483608274590866712591249330098086768169L); | |
845 | + } | |
846 | + | |
847 | + fesetround (save_round_mode); | |
848 | + | |
849 | + END (tan_towardzero); | |
850 | +} | |
851 | + | |
852 | + | |
853 | +static void | |
854 | +tan_test_downward (void) | |
855 | +{ | |
856 | + int save_round_mode; | |
857 | + errno = 0; | |
858 | + FUNC(tan) (0); | |
859 | + if (errno == ENOSYS) | |
860 | + /* Function not implemented. */ | |
861 | + return; | |
862 | + | |
863 | + START (tan_downward); | |
864 | + | |
865 | + save_round_mode = fegetround (); | |
866 | + | |
867 | + if (!fesetround (FE_DOWNWARD)) | |
868 | + { | |
869 | + TEST_f_f (tan, 1, 1.5574077246549022305069748074583601730873L); | |
870 | + TEST_f_f (tan, 2, -2.1850398632615189916433061023136825434320L); | |
871 | + TEST_f_f (tan, 3, -0.1425465430742778052956354105339134932261L); | |
872 | + TEST_f_f (tan, 4, 1.1578212823495775831373424182673239231198L); | |
873 | + TEST_f_f (tan, 5, -3.3805150062465856369827058794473439087096L); | |
874 | + TEST_f_f (tan, 6, -0.2910061913847491570536995888681755428312L); | |
875 | + TEST_f_f (tan, 7, 0.8714479827243187364564508896003135663222L); | |
876 | + TEST_f_f (tan, 8, -6.7997114552203786999252627596086333648814L); | |
877 | + TEST_f_f (tan, 9, -0.4523156594418098405903708757987855343087L); | |
878 | + TEST_f_f (tan, 10, 0.6483608274590866712591249330098086768169L); | |
879 | + } | |
880 | + | |
881 | + fesetround (save_round_mode); | |
882 | + | |
883 | + END (tan_downward); | |
884 | +} | |
885 | + | |
886 | + | |
887 | +static void | |
888 | +tan_test_upward (void) | |
889 | +{ | |
890 | + int save_round_mode; | |
891 | + errno = 0; | |
892 | + FUNC(tan) (0); | |
893 | + if (errno == ENOSYS) | |
894 | + /* Function not implemented. */ | |
895 | + return; | |
896 | + | |
897 | + START (tan_upward); | |
898 | + | |
899 | + save_round_mode = fegetround (); | |
900 | + | |
901 | + if (!fesetround (FE_UPWARD)) | |
902 | + { | |
903 | + TEST_f_f (tan, 1, 1.5574077246549022305069748074583601730873L); | |
904 | + TEST_f_f (tan, 2, -2.1850398632615189916433061023136825434320L); | |
905 | + TEST_f_f (tan, 3, -0.1425465430742778052956354105339134932261L); | |
906 | + TEST_f_f (tan, 4, 1.1578212823495775831373424182673239231198L); | |
907 | + TEST_f_f (tan, 5, -3.3805150062465856369827058794473439087096L); | |
908 | + TEST_f_f (tan, 6, -0.2910061913847491570536995888681755428312L); | |
909 | + TEST_f_f (tan, 7, 0.8714479827243187364564508896003135663222L); | |
910 | + TEST_f_f (tan, 8, -6.7997114552203786999252627596086333648814L); | |
911 | + TEST_f_f (tan, 9, -0.4523156594418098405903708757987855343087L); | |
912 | + TEST_f_f (tan, 10, 0.6483608274590866712591249330098086768169L); | |
913 | + } | |
914 | + | |
915 | + fesetround (save_round_mode); | |
916 | + | |
917 | + END (tan_upward); | |
918 | +} | |
919 | + | |
920 | + | |
921 | static void | |
922 | tanh_test (void) | |
923 | { | |
924 | @@ -6171,20 +7011,44 @@ main (int argc, char **argv) | |
925 | atan_test (); | |
926 | atan2_test (); | |
927 | cos_test (); | |
928 | + cos_test_tonearest (); | |
929 | + cos_test_towardzero (); | |
930 | + cos_test_downward (); | |
931 | + cos_test_upward (); | |
932 | sin_test (); | |
933 | + sin_test_tonearest (); | |
934 | + sin_test_towardzero (); | |
935 | + sin_test_downward (); | |
936 | + sin_test_upward (); | |
937 | sincos_test (); | |
938 | tan_test (); | |
939 | + tan_test_tonearest (); | |
940 | + tan_test_towardzero (); | |
941 | + tan_test_downward (); | |
942 | + tan_test_upward (); | |
943 | ||
944 | /* Hyperbolic functions: */ | |
945 | acosh_test (); | |
946 | asinh_test (); | |
947 | atanh_test (); | |
948 | cosh_test (); | |
949 | + cosh_test_tonearest (); | |
950 | + cosh_test_towardzero (); | |
951 | + cosh_test_downward (); | |
952 | + cosh_test_upward (); | |
953 | sinh_test (); | |
954 | + sinh_test_tonearest (); | |
955 | + sinh_test_towardzero (); | |
956 | + sinh_test_downward (); | |
957 | + sinh_test_upward (); | |
958 | tanh_test (); | |
959 | ||
960 | /* Exponential and logarithmic functions: */ | |
961 | exp_test (); | |
962 | + exp_test_tonearest (); | |
963 | + exp_test_towardzero (); | |
964 | + exp_test_downward (); | |
965 | + exp_test_upward (); | |
966 | exp10_test (); | |
967 | exp2_test (); | |
968 | expm1_test (); | |
969 | @@ -6207,6 +7071,10 @@ main (int argc, char **argv) | |
970 | fabs_test (); | |
971 | hypot_test (); | |
972 | pow_test (); | |
973 | + pow_test_tonearest (); | |
974 | + pow_test_towardzero (); | |
975 | + pow_test_downward (); | |
976 | + pow_test_upward (); | |
977 | sqrt_test (); | |
978 | ||
979 | /* Error and gamma functions: */ | |
980 | diff -Nrup a/math/math_private.h b/math/math_private.h | |
981 | --- a/math/math_private.h 2010-05-04 05:27:23.000000000 -0600 | |
982 | +++ b/math/math_private.h 2012-08-06 09:54:00.821929695 -0600 | |
983 | @@ -357,4 +357,41 @@ extern void __docos (double __x, double | |
984 | #define math_force_eval(x) __asm __volatile ("" : : "m" (x)) | |
985 | #endif | |
986 | ||
987 | + | |
988 | +/* The standards only specify one variant of the fenv.h interfaces. | |
989 | + But at least for some architectures we can be more efficient if we | |
990 | + know what operations are going to be performed. Therefore we | |
991 | + define additional interfaces. By default they refer to the normal | |
992 | + interfaces. */ | |
993 | +#define libc_fegetround() fegetround () | |
994 | +#define libc_fegetroundf() fegetround () | |
995 | +#define libc_fegetroundl() fegetround () | |
996 | + | |
997 | +#define libc_fesetround(r) (void) fesetround (r) | |
998 | +#define libc_fesetroundf(r) (void) fesetround (r) | |
999 | +#define libc_fesetroundl(r) (void) fesetround (r) | |
1000 | + | |
1001 | +#define libc_feholdexcept(e) (void) feholdexcept (e) | |
1002 | +#define libc_feholdexceptf(e) (void) feholdexcept (e) | |
1003 | +#define libc_feholdexceptl(e) (void) feholdexcept (e) | |
1004 | + | |
1005 | +#define libc_feholdexcept_setround(e, r) \ | |
1006 | + do { feholdexcept (e); fesetround (r); } while (0) | |
1007 | +#define libc_feholdexcept_setroundf(e, r) \ | |
1008 | + do { feholdexcept (e); fesetround (r); } while (0) | |
1009 | +#define libc_feholdexcept_setroundl(e, r) \ | |
1010 | + do { feholdexcept (e); fesetround (r); } while (0) | |
1011 | + | |
1012 | +#define libc_fetestexcept(e) fetestexcept (e) | |
1013 | +#define libc_fetestexceptf(e) fetestexcept (e) | |
1014 | +#define libc_fetestexceptl(e) fetestexcept (e) | |
1015 | + | |
1016 | +#define libc_fesetenv(e) (void) fesetenv (e) | |
1017 | +#define libc_fesetenvf(e) (void) fesetenv (e) | |
1018 | +#define libc_fesetenvl(e) (void) fesetenv (e) | |
1019 | + | |
1020 | +#define libc_feupdateenv(e) (void) feupdateenv (e) | |
1021 | +#define libc_feupdateenvf(e) (void) feupdateenv (e) | |
1022 | +#define libc_feupdateenvl(e) (void) feupdateenv (e) | |
1023 | + | |
1024 | #endif /* _MATH_PRIVATE_H_ */ | |
1025 | diff -Nrup a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps | |
1026 | --- a/sysdeps/i386/fpu/libm-test-ulps 2010-05-04 05:27:23.000000000 -0600 | |
1027 | +++ b/sysdeps/i386/fpu/libm-test-ulps 2012-08-06 11:29:16.370874961 -0600 | |
1028 | @@ -9,18 +9,12 @@ ldouble: 1 | |
1029 | Test "asin (-0.5) == -pi/6": | |
1030 | ildouble: 1 | |
1031 | ldouble: 1 | |
1032 | -Test "asin (-1.0) == -pi/2": | |
1033 | -ildouble: 1 | |
1034 | -ldouble: 1 | |
1035 | Test "asin (0.5) == pi/6": | |
1036 | ildouble: 1 | |
1037 | ldouble: 1 | |
1038 | Test "asin (0.75) == 0.848062078981481008052944338998418080": | |
1039 | ildouble: 1 | |
1040 | ldouble: 1 | |
1041 | -Test "asin (1.0) == pi/2": | |
1042 | -ildouble: 1 | |
1043 | -ldouble: 1 | |
1044 | ||
1045 | # atanh | |
1046 | Test "atanh (0.75) == 0.972955074527656652552676371721589865": | |
1047 | @@ -35,20 +29,6 @@ ildouble: 2 | |
1048 | ldouble: 2 | |
1049 | ||
1050 | # cacosh | |
1051 | -Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
1052 | -double: 1 | |
1053 | -float: 9 | |
1054 | -idouble: 1 | |
1055 | -ifloat: 9 | |
1056 | -ildouble: 6 | |
1057 | -ldouble: 6 | |
1058 | -Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
1059 | -double: 1 | |
1060 | -float: 4 | |
1061 | -idouble: 1 | |
1062 | -ifloat: 4 | |
1063 | -ildouble: 1 | |
1064 | -ldouble: 1 | |
1065 | Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": | |
1066 | ildouble: 1 | |
1067 | ldouble: 1 | |
1068 | @@ -124,8 +104,6 @@ ldouble: 1 | |
1069 | Test "Imaginary part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": | |
1070 | float: 1 | |
1071 | ifloat: 1 | |
1072 | -ildouble: 1 | |
1073 | -ldouble: 1 | |
1074 | Test "Real part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": | |
1075 | double: 1 | |
1076 | idouble: 1 | |
1077 | @@ -149,9 +127,7 @@ float: 1 | |
1078 | idouble: 1 | |
1079 | ifloat: 1 | |
1080 | Test "Imaginary part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": | |
1081 | -double: 1 | |
1082 | float: 1 | |
1083 | -idouble: 1 | |
1084 | ifloat: 1 | |
1085 | ||
1086 | # cexp | |
1087 | @@ -186,8 +162,6 @@ ifloat: 1 | |
1088 | Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": | |
1089 | double: 1 | |
1090 | idouble: 1 | |
1091 | -ildouble: 1 | |
1092 | -ldouble: 1 | |
1093 | Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": | |
1094 | double: 1 | |
1095 | float: 1 | |
1096 | @@ -262,27 +236,175 @@ ifloat: 1 | |
1097 | # cos | |
1098 | Test "cos (M_PI_6l * 2.0) == 0.5": | |
1099 | double: 1 | |
1100 | -float: 1 | |
1101 | idouble: 1 | |
1102 | -ifloat: 1 | |
1103 | Test "cos (M_PI_6l * 4.0) == -0.5": | |
1104 | double: 2 | |
1105 | float: 1 | |
1106 | idouble: 2 | |
1107 | ifloat: 1 | |
1108 | + | |
1109 | +# cos_downward | |
1110 | +Test "cos_downward (1) == 0.5403023058681397174009366074429766037323": | |
1111 | +double: 1 | |
1112 | +idouble: 1 | |
1113 | +ildouble: 1 | |
1114 | +ldouble: 1 | |
1115 | +Test "cos_downward (10) == -0.8390715290764524522588639478240648345199": | |
1116 | +double: 1 | |
1117 | +float: 1 | |
1118 | +idouble: 1 | |
1119 | +ifloat: 1 | |
1120 | +Test "cos_downward (3) == -0.9899924966004454572715727947312613023937": | |
1121 | +double: 1 | |
1122 | +idouble: 1 | |
1123 | +Test "cos_downward (4) == -0.6536436208636119146391681830977503814241": | |
1124 | +float: 1 | |
1125 | +ifloat: 1 | |
1126 | +ildouble: 1 | |
1127 | +ldouble: 1 | |
1128 | +Test "cos_downward (5) == 0.2836621854632262644666391715135573083344": | |
1129 | +float: 1 | |
1130 | +ifloat: 1 | |
1131 | +Test "cos_downward (7) == 0.7539022543433046381411975217191820122183": | |
1132 | +float: 1 | |
1133 | +ifloat: 1 | |
1134 | +ildouble: 1 | |
1135 | +ldouble: 1 | |
1136 | +Test "cos_downward (8) == -0.1455000338086135258688413818311946826093": | |
1137 | +ildouble: 1 | |
1138 | +ldouble: 1 | |
1139 | +Test "cos_downward (9) == -0.9111302618846769883682947111811653112463": | |
1140 | +double: 1 | |
1141 | +float: 1 | |
1142 | +idouble: 1 | |
1143 | +ifloat: 1 | |
1144 | +ildouble: 1 | |
1145 | +ldouble: 1 | |
1146 | + | |
1147 | +# cos_tonearest | |
1148 | +Test "cos_tonearest (8) == -0.1455000338086135258688413818311946826093": | |
1149 | +ildouble: 1 | |
1150 | +ldouble: 1 | |
1151 | +Test "cos_tonearest (9) == -0.9111302618846769883682947111811653112463": | |
1152 | +ildouble: 1 | |
1153 | +ldouble: 1 | |
1154 | + | |
1155 | +# cos_towardzero | |
1156 | +Test "cos_towardzero (1) == 0.5403023058681397174009366074429766037323": | |
1157 | +double: 1 | |
1158 | +idouble: 1 | |
1159 | +ildouble: 1 | |
1160 | +ldouble: 1 | |
1161 | +Test "cos_towardzero (10) == -0.8390715290764524522588639478240648345199": | |
1162 | ildouble: 1 | |
1163 | ldouble: 1 | |
1164 | -Test "cos (pi/2) == 0": | |
1165 | +Test "cos_towardzero (2) == -0.4161468365471423869975682295007621897660": | |
1166 | double: 1 | |
1167 | float: 1 | |
1168 | idouble: 1 | |
1169 | ifloat: 1 | |
1170 | ildouble: 1 | |
1171 | ldouble: 1 | |
1172 | +Test "cos_towardzero (3) == -0.9899924966004454572715727947312613023937": | |
1173 | +float: 1 | |
1174 | +ifloat: 1 | |
1175 | +ildouble: 1 | |
1176 | +ldouble: 1 | |
1177 | +Test "cos_towardzero (4) == -0.6536436208636119146391681830977503814241": | |
1178 | +double: 1 | |
1179 | +idouble: 1 | |
1180 | +Test "cos_towardzero (5) == 0.2836621854632262644666391715135573083344": | |
1181 | +float: 1 | |
1182 | +ifloat: 1 | |
1183 | +Test "cos_towardzero (7) == 0.7539022543433046381411975217191820122183": | |
1184 | +float: 1 | |
1185 | +ifloat: 1 | |
1186 | +ildouble: 1 | |
1187 | +ldouble: 1 | |
1188 | +Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093": | |
1189 | +double: 1 | |
1190 | +float: 1 | |
1191 | +idouble: 1 | |
1192 | +ifloat: 1 | |
1193 | ||
1194 | -# cosh | |
1195 | -Test "cosh (0.75) == 1.29468328467684468784170818539018176": | |
1196 | +# cos_upward | |
1197 | +Test "cos_upward (1) == 0.5403023058681397174009366074429766037323": | |
1198 | +float: 1 | |
1199 | +ifloat: 1 | |
1200 | +Test "cos_upward (10) == -0.8390715290764524522588639478240648345199": | |
1201 | +ildouble: 1 | |
1202 | +ldouble: 1 | |
1203 | +Test "cos_upward (2) == -0.4161468365471423869975682295007621897660": | |
1204 | +double: 1 | |
1205 | +float: 1 | |
1206 | +idouble: 1 | |
1207 | +ifloat: 1 | |
1208 | +ildouble: 1 | |
1209 | +ldouble: 1 | |
1210 | +Test "cos_upward (3) == -0.9899924966004454572715727947312613023937": | |
1211 | +float: 1 | |
1212 | +ifloat: 1 | |
1213 | +ildouble: 1 | |
1214 | +ldouble: 1 | |
1215 | +Test "cos_upward (4) == -0.6536436208636119146391681830977503814241": | |
1216 | +double: 1 | |
1217 | +idouble: 1 | |
1218 | +Test "cos_upward (5) == 0.2836621854632262644666391715135573083344": | |
1219 | +double: 1 | |
1220 | +idouble: 1 | |
1221 | +ildouble: 1 | |
1222 | +ldouble: 1 | |
1223 | +Test "cos_upward (6) == 0.9601702866503660205456522979229244054519": | |
1224 | +double: 1 | |
1225 | +float: 1 | |
1226 | +idouble: 1 | |
1227 | +ifloat: 1 | |
1228 | ildouble: 1 | |
1229 | +ldouble: 1 | |
1230 | +Test "cos_upward (7) == 0.7539022543433046381411975217191820122183": | |
1231 | +double: 1 | |
1232 | +idouble: 1 | |
1233 | +Test "cos_upward (8) == -0.1455000338086135258688413818311946826093": | |
1234 | +double: 1 | |
1235 | +float: 1 | |
1236 | +idouble: 1 | |
1237 | +ifloat: 1 | |
1238 | + | |
1239 | +# cosh_downward | |
1240 | +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": | |
1241 | +double: 1 | |
1242 | +float: 1 | |
1243 | +ldouble: 2 | |
1244 | +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": | |
1245 | +double: 1 | |
1246 | +float: 1 | |
1247 | +ldouble: 1 | |
1248 | +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": | |
1249 | +float: 1 | |
1250 | +ldouble: 1 | |
1251 | + | |
1252 | +# cosh_tonearest | |
1253 | +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": | |
1254 | +ldouble: 1 | |
1255 | + | |
1256 | +# cosh_towardzero | |
1257 | +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": | |
1258 | +double: 1 | |
1259 | +float: 1 | |
1260 | +ldouble: 2 | |
1261 | +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": | |
1262 | +double: 1 | |
1263 | +float: 1 | |
1264 | +ldouble: 1 | |
1265 | +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": | |
1266 | +float: 1 | |
1267 | +ldouble: 1 | |
1268 | + | |
1269 | +# cosh_upward | |
1270 | +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": | |
1271 | +ldouble: 1 | |
1272 | +Test "cosh_upward (24) == 13244561064.92173614708845674912733665919": | |
1273 | +double: 1 | |
1274 | ||
1275 | # cpow | |
1276 | Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": | |
1277 | @@ -353,12 +475,8 @@ double: 1 | |
1278 | float: 1 | |
1279 | idouble: 1 | |
1280 | ifloat: 1 | |
1281 | -ildouble: 2 | |
1282 | -ldouble: 2 | |
1283 | Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": | |
1284 | -double: 1 | |
1285 | float: 1 | |
1286 | -idouble: 1 | |
1287 | ifloat: 1 | |
1288 | ildouble: 1 | |
1289 | ldouble: 1 | |
1290 | @@ -370,40 +488,36 @@ ifloat: 1 | |
1291 | Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
1292 | double: 1 | |
1293 | idouble: 1 | |
1294 | -ildouble: 439 | |
1295 | -ldouble: 439 | |
1296 | +ildouble: 1 | |
1297 | +ldouble: 1 | |
1298 | Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
1299 | float: 1 | |
1300 | ifloat: 1 | |
1301 | -ildouble: 2 | |
1302 | -ldouble: 2 | |
1303 | +ildouble: 1 | |
1304 | +ldouble: 1 | |
1305 | Test "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": | |
1306 | ildouble: 1 | |
1307 | ldouble: 1 | |
1308 | Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": | |
1309 | -double: 1 | |
1310 | float: 1 | |
1311 | -idouble: 1 | |
1312 | ifloat: 1 | |
1313 | ildouble: 3 | |
1314 | ldouble: 3 | |
1315 | ||
1316 | # ctanh | |
1317 | Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": | |
1318 | -ildouble: 5 | |
1319 | -ldouble: 5 | |
1320 | +ildouble: 3 | |
1321 | +ldouble: 3 | |
1322 | Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": | |
1323 | float: 1 | |
1324 | ifloat: 1 | |
1325 | -ildouble: 25 | |
1326 | -ldouble: 25 | |
1327 | +ildouble: 1 | |
1328 | +ldouble: 1 | |
1329 | Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": | |
1330 | float: 1 | |
1331 | ifloat: 1 | |
1332 | Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": | |
1333 | -double: 1 | |
1334 | float: 1 | |
1335 | -idouble: 1 | |
1336 | ifloat: 1 | |
1337 | Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": | |
1338 | double: 1 | |
1339 | @@ -419,9 +533,6 @@ double: 1 | |
1340 | idouble: 1 | |
1341 | ||
1342 | # erfc | |
1343 | -Test "erfc (0.75) == 0.288844366346484868401062165408589223": | |
1344 | -float: 1 | |
1345 | -ifloat: 1 | |
1346 | Test "erfc (1.25) == 0.0770998717435417698634765188027188596": | |
1347 | ildouble: 1 | |
1348 | ldouble: 1 | |
1349 | @@ -434,14 +545,6 @@ idouble: 1 | |
1350 | ildouble: 1 | |
1351 | ldouble: 1 | |
1352 | ||
1353 | -# exp | |
1354 | -Test "exp (0.75) == 2.11700001661267466854536981983709561": | |
1355 | -ildouble: 1 | |
1356 | -Test "exp (1000.0) == 0.197007111401704699388887935224332313e435": | |
1357 | -ildouble: 754 | |
1358 | -Test "exp (50.0) == 5184705528587072464087.45332293348538": | |
1359 | -ildouble: 16 | |
1360 | - | |
1361 | # exp10 | |
1362 | Test "exp10 (-1) == 0.1": | |
1363 | ildouble: 1 | |
1364 | @@ -453,6 +556,51 @@ Test "exp10 (3) == 1000": | |
1365 | ildouble: 8 | |
1366 | ldouble: 8 | |
1367 | ||
1368 | +# exp_downward | |
1369 | +Test "exp_downward (1) == e": | |
1370 | +ildouble: 1 | |
1371 | +ldouble: 1 | |
1372 | +Test "exp_downward (2) == e^2": | |
1373 | +double: 1 | |
1374 | +float: 1 | |
1375 | +idouble: 1 | |
1376 | +ifloat: 1 | |
1377 | +ildouble: 2 | |
1378 | +ldouble: 2 | |
1379 | +Test "exp_downward (3) == e^3": | |
1380 | +double: 1 | |
1381 | +float: 1 | |
1382 | +idouble: 1 | |
1383 | +ifloat: 1 | |
1384 | +ildouble: 1 | |
1385 | +ldouble: 1 | |
1386 | + | |
1387 | +# exp_towardzero | |
1388 | +Test "exp_towardzero (1) == e": | |
1389 | +ildouble: 1 | |
1390 | +ldouble: 1 | |
1391 | +Test "exp_towardzero (2) == e^2": | |
1392 | +double: 1 | |
1393 | +float: 1 | |
1394 | +idouble: 1 | |
1395 | +ifloat: 1 | |
1396 | +ildouble: 2 | |
1397 | +ldouble: 2 | |
1398 | +Test "exp_towardzero (3) == e^3": | |
1399 | +double: 1 | |
1400 | +float: 1 | |
1401 | +idouble: 1 | |
1402 | +ifloat: 1 | |
1403 | +ildouble: 1 | |
1404 | +ldouble: 1 | |
1405 | + | |
1406 | +# exp_upward | |
1407 | +Test "exp_upward (1) == e": | |
1408 | +double: 1 | |
1409 | +float: 1 | |
1410 | +idouble: 1 | |
1411 | +ifloat: 1 | |
1412 | + | |
1413 | # expm1 | |
1414 | Test "expm1 (1) == M_El - 1.0": | |
1415 | ildouble: 1 | |
1416 | @@ -485,26 +633,24 @@ float: 1 | |
1417 | # j0 | |
1418 | Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": | |
1419 | double: 1 | |
1420 | -float: 2 | |
1421 | +float: 1 | |
1422 | idouble: 1 | |
1423 | -ifloat: 2 | |
1424 | +ifloat: 1 | |
1425 | ildouble: 1 | |
1426 | ldouble: 1 | |
1427 | Test "j0 (10.0) == -0.245935764451348335197760862485328754": | |
1428 | -double: 3 | |
1429 | +double: 1 | |
1430 | float: 1 | |
1431 | -idouble: 3 | |
1432 | +idouble: 1 | |
1433 | ifloat: 1 | |
1434 | Test "j0 (2.0) == 0.223890779141235668051827454649948626": | |
1435 | -double: 1 | |
1436 | float: 1 | |
1437 | -idouble: 1 | |
1438 | ifloat: 1 | |
1439 | Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": | |
1440 | double: 1 | |
1441 | -float: 2 | |
1442 | +float: 1 | |
1443 | idouble: 1 | |
1444 | -ifloat: 2 | |
1445 | +ifloat: 1 | |
1446 | ildouble: 1 | |
1447 | ldouble: 1 | |
1448 | Test "j0 (8.0) == 0.171650807137553906090869407851972001": | |
1449 | @@ -512,13 +658,8 @@ float: 1 | |
1450 | ifloat: 1 | |
1451 | ||
1452 | # j1 | |
1453 | -Test "j1 (0.75) == 0.349243602174862192523281016426251335": | |
1454 | -double: 1 | |
1455 | -idouble: 1 | |
1456 | Test "j1 (10.0) == 0.0434727461688614366697487680258592883": | |
1457 | -double: 1 | |
1458 | float: 1 | |
1459 | -idouble: 1 | |
1460 | ifloat: 1 | |
1461 | ildouble: 1 | |
1462 | ldouble: 1 | |
1463 | @@ -526,9 +667,7 @@ Test "j1 (2.0) == 0.57672480775687338720 | |
1464 | double: 1 | |
1465 | idouble: 1 | |
1466 | Test "j1 (8.0) == 0.234636346853914624381276651590454612": | |
1467 | -double: 1 | |
1468 | float: 1 | |
1469 | -idouble: 1 | |
1470 | ifloat: 1 | |
1471 | ildouble: 1 | |
1472 | ldouble: 1 | |
1473 | @@ -536,38 +675,31 @@ ldouble: 1 | |
1474 | # jn | |
1475 | Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": | |
1476 | double: 1 | |
1477 | -float: 2 | |
1478 | +float: 1 | |
1479 | idouble: 1 | |
1480 | -ifloat: 2 | |
1481 | +ifloat: 1 | |
1482 | ildouble: 1 | |
1483 | ldouble: 1 | |
1484 | Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": | |
1485 | -double: 3 | |
1486 | +double: 1 | |
1487 | float: 1 | |
1488 | -idouble: 3 | |
1489 | +idouble: 1 | |
1490 | ifloat: 1 | |
1491 | Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": | |
1492 | -double: 1 | |
1493 | float: 1 | |
1494 | -idouble: 1 | |
1495 | ifloat: 1 | |
1496 | Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": | |
1497 | double: 1 | |
1498 | -float: 2 | |
1499 | +float: 1 | |
1500 | idouble: 1 | |
1501 | -ifloat: 2 | |
1502 | +ifloat: 1 | |
1503 | ildouble: 1 | |
1504 | ldouble: 1 | |
1505 | Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": | |
1506 | float: 1 | |
1507 | ifloat: 1 | |
1508 | -Test "jn (1, 0.75) == 0.349243602174862192523281016426251335": | |
1509 | -double: 1 | |
1510 | -idouble: 1 | |
1511 | Test "jn (1, 10.0) == 0.0434727461688614366697487680258592883": | |
1512 | -double: 1 | |
1513 | float: 1 | |
1514 | -idouble: 1 | |
1515 | ifloat: 1 | |
1516 | ildouble: 1 | |
1517 | ldouble: 1 | |
1518 | @@ -575,9 +707,7 @@ Test "jn (1, 2.0) == 0.57672480775687338 | |
1519 | double: 1 | |
1520 | idouble: 1 | |
1521 | Test "jn (1, 8.0) == 0.234636346853914624381276651590454612": | |
1522 | -double: 1 | |
1523 | float: 1 | |
1524 | -idouble: 1 | |
1525 | ifloat: 1 | |
1526 | ildouble: 1 | |
1527 | ldouble: 1 | |
1528 | @@ -589,9 +719,7 @@ ifloat: 1 | |
1529 | ildouble: 1 | |
1530 | ldouble: 1 | |
1531 | Test "jn (10, 0.125) == 0.250543369809369890173993791865771547e-18": | |
1532 | -double: 1 | |
1533 | float: 1 | |
1534 | -idouble: 1 | |
1535 | ifloat: 1 | |
1536 | Test "jn (10, 0.75) == 0.149621713117596814698712483621682835e-10": | |
1537 | float: 1 | |
1538 | @@ -606,38 +734,32 @@ ifloat: 1 | |
1539 | ildouble: 1 | |
1540 | ldouble: 1 | |
1541 | Test "jn (10, 10.0) == 0.207486106633358857697278723518753428": | |
1542 | -double: 5 | |
1543 | -float: 2 | |
1544 | -idouble: 5 | |
1545 | -ifloat: 2 | |
1546 | +double: 1 | |
1547 | +float: 1 | |
1548 | +idouble: 1 | |
1549 | +ifloat: 1 | |
1550 | ildouble: 2 | |
1551 | ldouble: 2 | |
1552 | Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": | |
1553 | -double: 2 | |
1554 | -idouble: 2 | |
1555 | ildouble: 1 | |
1556 | ldouble: 1 | |
1557 | Test "jn (3, -1.0) == -0.0195633539826684059189053216217515083": | |
1558 | ildouble: 1 | |
1559 | ldouble: 1 | |
1560 | Test "jn (3, 0.75) == 0.848438342327410884392755236884386804e-2": | |
1561 | -double: 1 | |
1562 | float: 1 | |
1563 | -idouble: 1 | |
1564 | ifloat: 1 | |
1565 | Test "jn (3, 1.0) == 0.0195633539826684059189053216217515083": | |
1566 | ildouble: 1 | |
1567 | ldouble: 1 | |
1568 | Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": | |
1569 | -double: 5 | |
1570 | -float: 2 | |
1571 | -idouble: 5 | |
1572 | -ifloat: 2 | |
1573 | +double: 1 | |
1574 | +float: 1 | |
1575 | +idouble: 1 | |
1576 | +ifloat: 1 | |
1577 | ildouble: 1 | |
1578 | ldouble: 1 | |
1579 | Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": | |
1580 | -double: 1 | |
1581 | -idouble: 1 | |
1582 | ildouble: 1 | |
1583 | ldouble: 1 | |
1584 | ||
1585 | @@ -648,9 +770,7 @@ idouble: 1 | |
1586 | ildouble: 1 | |
1587 | ldouble: 1 | |
1588 | Test "lgamma (0.7) == 0.260867246531666514385732417016759578": | |
1589 | -double: 1 | |
1590 | float: 1 | |
1591 | -idouble: 1 | |
1592 | ifloat: 1 | |
1593 | Test "lgamma (1.2) == -0.853740900033158497197028392998854470e-1": | |
1594 | double: 1 | |
1595 | @@ -660,11 +780,6 @@ ifloat: 2 | |
1596 | ildouble: 1 | |
1597 | ldouble: 1 | |
1598 | ||
1599 | -# log | |
1600 | -Test "log (e) == 1": | |
1601 | -float: 1 | |
1602 | -ifloat: 1 | |
1603 | - | |
1604 | # log10 | |
1605 | Test "log10 (0.75) == -0.124938736608299953132449886193870744": | |
1606 | ildouble: 1 | |
1607 | @@ -675,20 +790,179 @@ ifloat: 1 | |
1608 | ildouble: 1 | |
1609 | ldouble: 1 | |
1610 | ||
1611 | -# sincos | |
1612 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
1613 | +# pow_downward | |
1614 | +Test "pow_downward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
1615 | double: 1 | |
1616 | +idouble: 1 | |
1617 | +ildouble: 1 | |
1618 | +ldouble: 1 | |
1619 | +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
1620 | float: 1 | |
1621 | +ifloat: 1 | |
1622 | +ildouble: 1 | |
1623 | +ldouble: 1 | |
1624 | + | |
1625 | +# pow_towardzero | |
1626 | +Test "pow_towardzero (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
1627 | +double: 1 | |
1628 | idouble: 1 | |
1629 | +ildouble: 1 | |
1630 | +ldouble: 1 | |
1631 | +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
1632 | +float: 1 | |
1633 | ifloat: 1 | |
1634 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
1635 | +ildouble: 1 | |
1636 | +ldouble: 1 | |
1637 | + | |
1638 | +# pow_upward | |
1639 | +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
1640 | +float: 1 | |
1641 | +ifloat: 1 | |
1642 | +ildouble: 1 | |
1643 | +ldouble: 1 | |
1644 | +Test "pow_upward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
1645 | +double: 1 | |
1646 | +idouble: 1 | |
1647 | +ildouble: 1 | |
1648 | +ldouble: 1 | |
1649 | + | |
1650 | +# sin_downward | |
1651 | +Test "sin_downward (1) == 0.8414709848078965066525023216302989996226": | |
1652 | +ildouble: 1 | |
1653 | +ldouble: 1 | |
1654 | +Test "sin_downward (10) == -0.5440211108893698134047476618513772816836": | |
1655 | +double: 1 | |
1656 | +idouble: 1 | |
1657 | +ildouble: 1 | |
1658 | +ldouble: 1 | |
1659 | +Test "sin_downward (2) == 0.9092974268256816953960198659117448427023": | |
1660 | +double: 1 | |
1661 | +idouble: 1 | |
1662 | +Test "sin_downward (3) == 0.1411200080598672221007448028081102798469": | |
1663 | +ildouble: 1 | |
1664 | +ldouble: 1 | |
1665 | +Test "sin_downward (4) == -0.7568024953079282513726390945118290941359": | |
1666 | +double: 1 | |
1667 | +idouble: 1 | |
1668 | +ildouble: 1 | |
1669 | +ldouble: 1 | |
1670 | +Test "sin_downward (5) == -0.9589242746631384688931544061559939733525": | |
1671 | +double: 1 | |
1672 | +idouble: 1 | |
1673 | +ildouble: 1 | |
1674 | +ldouble: 1 | |
1675 | +Test "sin_downward (6) == -0.2794154981989258728115554466118947596280": | |
1676 | double: 1 | |
1677 | float: 1 | |
1678 | idouble: 1 | |
1679 | ifloat: 1 | |
1680 | +Test "sin_downward (7) == 0.6569865987187890903969990915936351779369": | |
1681 | ildouble: 1 | |
1682 | ldouble: 1 | |
1683 | -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": | |
1684 | +Test "sin_downward (8) == 0.9893582466233817778081235982452886721164": | |
1685 | +double: 1 | |
1686 | +idouble: 1 | |
1687 | +ildouble: 1 | |
1688 | +ldouble: 1 | |
1689 | +Test "sin_downward (9) == 0.4121184852417565697562725663524351793439": | |
1690 | +double: 1 | |
1691 | +float: 1 | |
1692 | +idouble: 1 | |
1693 | +ifloat: 1 | |
1694 | +ildouble: 1 | |
1695 | +ldouble: 1 | |
1696 | + | |
1697 | +# sin_tonearest | |
1698 | +Test "sin_tonearest (10) == -0.5440211108893698134047476618513772816836": | |
1699 | +ildouble: 1 | |
1700 | +ldouble: 1 | |
1701 | +Test "sin_tonearest (4) == -0.7568024953079282513726390945118290941359": | |
1702 | +ildouble: 1 | |
1703 | +ldouble: 1 | |
1704 | +Test "sin_tonearest (9) == 0.4121184852417565697562725663524351793439": | |
1705 | +ildouble: 1 | |
1706 | +ldouble: 1 | |
1707 | + | |
1708 | +# sin_towardzero | |
1709 | +Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": | |
1710 | +ildouble: 1 | |
1711 | +ldouble: 1 | |
1712 | +Test "sin_towardzero (10) == -0.5440211108893698134047476618513772816836": | |
1713 | +float: 1 | |
1714 | +ifloat: 1 | |
1715 | +Test "sin_towardzero (2) == 0.9092974268256816953960198659117448427023": | |
1716 | +double: 1 | |
1717 | +idouble: 1 | |
1718 | +Test "sin_towardzero (3) == 0.1411200080598672221007448028081102798469": | |
1719 | +ildouble: 1 | |
1720 | +ldouble: 1 | |
1721 | +Test "sin_towardzero (4) == -0.7568024953079282513726390945118290941359": | |
1722 | +float: 1 | |
1723 | +ifloat: 1 | |
1724 | +Test "sin_towardzero (5) == -0.9589242746631384688931544061559939733525": | |
1725 | +float: 1 | |
1726 | +ifloat: 1 | |
1727 | +Test "sin_towardzero (6) == -0.2794154981989258728115554466118947596280": | |
1728 | +ildouble: 1 | |
1729 | +ldouble: 1 | |
1730 | +Test "sin_towardzero (7) == 0.6569865987187890903969990915936351779369": | |
1731 | +ildouble: 1 | |
1732 | +ldouble: 1 | |
1733 | +Test "sin_towardzero (8) == 0.9893582466233817778081235982452886721164": | |
1734 | +double: 1 | |
1735 | +idouble: 1 | |
1736 | +ildouble: 1 | |
1737 | +ldouble: 1 | |
1738 | +Test "sin_towardzero (9) == 0.4121184852417565697562725663524351793439": | |
1739 | +double: 1 | |
1740 | +float: 1 | |
1741 | +idouble: 1 | |
1742 | +ifloat: 1 | |
1743 | +ildouble: 1 | |
1744 | +ldouble: 1 | |
1745 | + | |
1746 | +# sin_upward | |
1747 | +Test "sin_upward (1) == 0.8414709848078965066525023216302989996226": | |
1748 | +double: 1 | |
1749 | +float: 1 | |
1750 | +idouble: 1 | |
1751 | +ifloat: 1 | |
1752 | +Test "sin_upward (10) == -0.5440211108893698134047476618513772816836": | |
1753 | +float: 1 | |
1754 | +ifloat: 1 | |
1755 | +Test "sin_upward (2) == 0.9092974268256816953960198659117448427023": | |
1756 | +float: 1 | |
1757 | +ifloat: 1 | |
1758 | +ildouble: 1 | |
1759 | +ldouble: 1 | |
1760 | +Test "sin_upward (3) == 0.1411200080598672221007448028081102798469": | |
1761 | +double: 1 | |
1762 | +float: 1 | |
1763 | +idouble: 1 | |
1764 | +ifloat: 1 | |
1765 | +Test "sin_upward (4) == -0.7568024953079282513726390945118290941359": | |
1766 | +float: 1 | |
1767 | +ifloat: 1 | |
1768 | +Test "sin_upward (5) == -0.9589242746631384688931544061559939733525": | |
1769 | +float: 1 | |
1770 | +ifloat: 1 | |
1771 | +Test "sin_upward (6) == -0.2794154981989258728115554466118947596280": | |
1772 | +ildouble: 1 | |
1773 | +ldouble: 1 | |
1774 | +Test "sin_upward (7) == 0.6569865987187890903969990915936351779369": | |
1775 | +double: 1 | |
1776 | +float: 1 | |
1777 | +idouble: 1 | |
1778 | +ifloat: 1 | |
1779 | +Test "sin_upward (8) == 0.9893582466233817778081235982452886721164": | |
1780 | +float: 1 | |
1781 | +ifloat: 1 | |
1782 | + | |
1783 | +# sincos | |
1784 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
1785 | +double: 1 | |
1786 | +idouble: 1 | |
1787 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
1788 | double: 1 | |
1789 | float: 1 | |
1790 | idouble: 1 | |
1791 | @@ -698,66 +972,237 @@ ldouble: 1 | |
1792 | ||
1793 | # sinh | |
1794 | Test "sinh (0.75) == 0.822316731935829980703661634446913849": | |
1795 | -double: 1 | |
1796 | ildouble: 1 | |
1797 | ||
1798 | -# tan | |
1799 | -Test "tan (pi/4) == 1": | |
1800 | +# sinh_downward | |
1801 | +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": | |
1802 | double: 1 | |
1803 | +float: 1 | |
1804 | +idouble: 1 | |
1805 | +ifloat: 1 | |
1806 | +ldouble: 4 | |
1807 | +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": | |
1808 | +double: 1 | |
1809 | +float: 1 | |
1810 | idouble: 1 | |
1811 | +ifloat: 1 | |
1812 | +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": | |
1813 | +float: 1 | |
1814 | +ifloat: 1 | |
1815 | +ldouble: 5 | |
1816 | ||
1817 | -# tgamma | |
1818 | -Test "tgamma (-0.5) == -2 sqrt (pi)": | |
1819 | -double: 2 | |
1820 | +# sinh_tonearest | |
1821 | +Test "sinh_tonearest (22) == 1792456423.065795780701106568345764104225": | |
1822 | +ldouble: 3 | |
1823 | +Test "sinh_tonearest (23) == 4872401723.124451299966006944252978187305": | |
1824 | +ldouble: 1 | |
1825 | +Test "sinh_tonearest (24) == 13244561064.92173614705070540368454568168": | |
1826 | +ldouble: 6 | |
1827 | + | |
1828 | +# sinh_towardzero | |
1829 | +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": | |
1830 | +double: 1 | |
1831 | +float: 1 | |
1832 | +idouble: 1 | |
1833 | +ifloat: 1 | |
1834 | +ldouble: 4 | |
1835 | +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": | |
1836 | +double: 1 | |
1837 | +float: 1 | |
1838 | +idouble: 1 | |
1839 | +ifloat: 1 | |
1840 | +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": | |
1841 | +float: 1 | |
1842 | +ifloat: 1 | |
1843 | +ldouble: 5 | |
1844 | + | |
1845 | +# sinh_upward | |
1846 | +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": | |
1847 | +ldouble: 16 | |
1848 | +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": | |
1849 | +ldouble: 27 | |
1850 | +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": | |
1851 | +double: 1 | |
1852 | +idouble: 1 | |
1853 | +ldouble: 7 | |
1854 | + | |
1855 | +# tan_downward | |
1856 | +Test "tan_downward (1) == 1.5574077246549022305069748074583601730873": | |
1857 | +double: 1 | |
1858 | +float: 1 | |
1859 | +idouble: 1 | |
1860 | +ifloat: 1 | |
1861 | +Test "tan_downward (10) == 0.6483608274590866712591249330098086768169": | |
1862 | +float: 1 | |
1863 | +ifloat: 1 | |
1864 | +Test "tan_downward (2) == -2.1850398632615189916433061023136825434320": | |
1865 | +double: 1 | |
1866 | +float: 1 | |
1867 | +idouble: 1 | |
1868 | +ifloat: 1 | |
1869 | +Test "tan_downward (3) == -0.1425465430742778052956354105339134932261": | |
1870 | +double: 1 | |
1871 | +idouble: 1 | |
1872 | +Test "tan_downward (4) == 1.1578212823495775831373424182673239231198": | |
1873 | float: 1 | |
1874 | -idouble: 2 | |
1875 | ifloat: 1 | |
1876 | ildouble: 1 | |
1877 | ldouble: 1 | |
1878 | -Test "tgamma (0.5) == sqrt (pi)": | |
1879 | +Test "tan_downward (5) == -3.3805150062465856369827058794473439087096": | |
1880 | +ildouble: 1 | |
1881 | +ldouble: 1 | |
1882 | +Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": | |
1883 | +double: 1 | |
1884 | float: 1 | |
1885 | +idouble: 1 | |
1886 | ifloat: 1 | |
1887 | -Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
1888 | +Test "tan_downward (7) == 0.8714479827243187364564508896003135663222": | |
1889 | +double: 1 | |
1890 | +idouble: 1 | |
1891 | +Test "tan_downward (8) == -6.7997114552203786999252627596086333648814": | |
1892 | +float: 1 | |
1893 | +ifloat: 1 | |
1894 | +ildouble: 1 | |
1895 | +ldouble: 1 | |
1896 | +Test "tan_downward (9) == -0.4523156594418098405903708757987855343087": | |
1897 | +float: 1 | |
1898 | +ifloat: 1 | |
1899 | + | |
1900 | +# tan_tonearest | |
1901 | +Test "tan_tonearest (6) == -0.2910061913847491570536995888681755428312": | |
1902 | +ildouble: 1 | |
1903 | +ldouble: 1 | |
1904 | +Test "tan_tonearest (8) == -6.7997114552203786999252627596086333648814": | |
1905 | +ildouble: 1 | |
1906 | +ldouble: 1 | |
1907 | +Test "tan_tonearest (9) == -0.4523156594418098405903708757987855343087": | |
1908 | +ildouble: 1 | |
1909 | +ldouble: 1 | |
1910 | + | |
1911 | +# tan_towardzero | |
1912 | +Test "tan_towardzero (1) == 1.5574077246549022305069748074583601730873": | |
1913 | double: 1 | |
1914 | float: 1 | |
1915 | idouble: 1 | |
1916 | ifloat: 1 | |
1917 | -Test "tgamma (4) == 6": | |
1918 | +Test "tan_towardzero (10) == 0.6483608274590866712591249330098086768169": | |
1919 | +float: 1 | |
1920 | +ifloat: 1 | |
1921 | +Test "tan_towardzero (2) == -2.1850398632615189916433061023136825434320": | |
1922 | +ildouble: 1 | |
1923 | +ldouble: 1 | |
1924 | +Test "tan_towardzero (3) == -0.1425465430742778052956354105339134932261": | |
1925 | +float: 1 | |
1926 | +ifloat: 1 | |
1927 | +ildouble: 1 | |
1928 | +ldouble: 1 | |
1929 | +Test "tan_towardzero (4) == 1.1578212823495775831373424182673239231198": | |
1930 | +float: 1 | |
1931 | +ifloat: 1 | |
1932 | +ildouble: 1 | |
1933 | +ldouble: 1 | |
1934 | +Test "tan_towardzero (5) == -3.3805150062465856369827058794473439087096": | |
1935 | +double: 1 | |
1936 | +float: 1 | |
1937 | +idouble: 1 | |
1938 | +ifloat: 1 | |
1939 | +Test "tan_towardzero (6) == -0.2910061913847491570536995888681755428312": | |
1940 | +ildouble: 1 | |
1941 | +ldouble: 1 | |
1942 | +Test "tan_towardzero (7) == 0.8714479827243187364564508896003135663222": | |
1943 | +double: 1 | |
1944 | +idouble: 1 | |
1945 | +Test "tan_towardzero (8) == -6.7997114552203786999252627596086333648814": | |
1946 | +double: 1 | |
1947 | +idouble: 1 | |
1948 | +ildouble: 2 | |
1949 | +ldouble: 2 | |
1950 | +Test "tan_towardzero (9) == -0.4523156594418098405903708757987855343087": | |
1951 | +double: 1 | |
1952 | +idouble: 1 | |
1953 | ildouble: 1 | |
1954 | ldouble: 1 | |
1955 | ||
1956 | -# y0 | |
1957 | -Test "y0 (0.125) == -1.38968062514384052915582277745018693": | |
1958 | +# tan_upward | |
1959 | +Test "tan_upward (1) == 1.5574077246549022305069748074583601730873": | |
1960 | ildouble: 1 | |
1961 | ldouble: 1 | |
1962 | -Test "y0 (0.75) == -0.137172769385772397522814379396581855": | |
1963 | +Test "tan_upward (10) == 0.6483608274590866712591249330098086768169": | |
1964 | +double: 1 | |
1965 | +idouble: 1 | |
1966 | +ildouble: 1 | |
1967 | +ldouble: 1 | |
1968 | +Test "tan_upward (2) == -2.1850398632615189916433061023136825434320": | |
1969 | +ildouble: 1 | |
1970 | +ldouble: 1 | |
1971 | +Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": | |
1972 | +float: 1 | |
1973 | +ifloat: 1 | |
1974 | +ildouble: 1 | |
1975 | +ldouble: 1 | |
1976 | +Test "tan_upward (4) == 1.1578212823495775831373424182673239231198": | |
1977 | +double: 1 | |
1978 | +idouble: 1 | |
1979 | +Test "tan_upward (5) == -3.3805150062465856369827058794473439087096": | |
1980 | double: 1 | |
1981 | float: 1 | |
1982 | idouble: 1 | |
1983 | ifloat: 1 | |
1984 | -Test "y0 (1.0) == 0.0882569642156769579829267660235151628": | |
1985 | +Test "tan_upward (6) == -0.2910061913847491570536995888681755428312": | |
1986 | +ildouble: 1 | |
1987 | +ldouble: 1 | |
1988 | +Test "tan_upward (7) == 0.8714479827243187364564508896003135663222": | |
1989 | +float: 1 | |
1990 | +ifloat: 1 | |
1991 | +ildouble: 1 | |
1992 | +ldouble: 1 | |
1993 | +Test "tan_upward (8) == -6.7997114552203786999252627596086333648814": | |
1994 | +double: 1 | |
1995 | +idouble: 1 | |
1996 | +ildouble: 2 | |
1997 | +ldouble: 2 | |
1998 | +Test "tan_upward (9) == -0.4523156594418098405903708757987855343087": | |
1999 | +double: 1 | |
2000 | +idouble: 1 | |
2001 | +ildouble: 1 | |
2002 | +ldouble: 1 | |
2003 | + | |
2004 | +# tgamma | |
2005 | +Test "tgamma (-0.5) == -2 sqrt (pi)": | |
2006 | double: 2 | |
2007 | float: 1 | |
2008 | idouble: 2 | |
2009 | ifloat: 1 | |
2010 | ildouble: 1 | |
2011 | ldouble: 1 | |
2012 | -Test "y0 (1.5) == 0.382448923797758843955068554978089862": | |
2013 | +Test "tgamma (0.5) == sqrt (pi)": | |
2014 | +float: 1 | |
2015 | +ifloat: 1 | |
2016 | +Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
2017 | double: 1 | |
2018 | float: 1 | |
2019 | idouble: 1 | |
2020 | ifloat: 1 | |
2021 | -Test "y0 (10.0) == 0.0556711672835993914244598774101900481": | |
2022 | + | |
2023 | +# y0 | |
2024 | +Test "y0 (0.125) == -1.38968062514384052915582277745018693": | |
2025 | +ildouble: 1 | |
2026 | +ldouble: 1 | |
2027 | +Test "y0 (0.75) == -0.137172769385772397522814379396581855": | |
2028 | double: 1 | |
2029 | float: 1 | |
2030 | idouble: 1 | |
2031 | ifloat: 1 | |
2032 | +Test "y0 (1.0) == 0.0882569642156769579829267660235151628": | |
2033 | +ildouble: 1 | |
2034 | +ldouble: 1 | |
2035 | +Test "y0 (10.0) == 0.0556711672835993914244598774101900481": | |
2036 | +float: 1 | |
2037 | +ifloat: 1 | |
2038 | ildouble: 1 | |
2039 | ldouble: 1 | |
2040 | Test "y0 (8.0) == 0.223521489387566220527323400498620359": | |
2041 | -double: 1 | |
2042 | float: 1 | |
2043 | -idouble: 1 | |
2044 | ifloat: 1 | |
2045 | ildouble: 1 | |
2046 | ldouble: 1 | |
2047 | @@ -766,9 +1211,6 @@ ldouble: 1 | |
2048 | Test "y1 (0.125) == -5.19993611253477499595928744876579921": | |
2049 | ildouble: 1 | |
2050 | ldouble: 1 | |
2051 | -Test "y1 (1.0) == -0.781212821300288716547150000047964821": | |
2052 | -double: 1 | |
2053 | -idouble: 1 | |
2054 | Test "y1 (10.0) == 0.249015424206953883923283474663222803": | |
2055 | double: 2 | |
2056 | float: 2 | |
2057 | @@ -782,9 +1224,7 @@ ifloat: 2 | |
2058 | ildouble: 1 | |
2059 | ldouble: 1 | |
2060 | Test "y1 (8.0) == -0.158060461731247494255555266187483550": | |
2061 | -double: 1 | |
2062 | float: 2 | |
2063 | -idouble: 1 | |
2064 | ifloat: 2 | |
2065 | ildouble: 1 | |
2066 | ldouble: 1 | |
2067 | @@ -799,37 +1239,21 @@ float: 1 | |
2068 | idouble: 1 | |
2069 | ifloat: 1 | |
2070 | Test "yn (0, 1.0) == 0.0882569642156769579829267660235151628": | |
2071 | -double: 2 | |
2072 | -float: 1 | |
2073 | -idouble: 2 | |
2074 | -ifloat: 1 | |
2075 | ildouble: 1 | |
2076 | ldouble: 1 | |
2077 | -Test "yn (0, 1.5) == 0.382448923797758843955068554978089862": | |
2078 | -double: 1 | |
2079 | -float: 1 | |
2080 | -idouble: 1 | |
2081 | -ifloat: 1 | |
2082 | Test "yn (0, 10.0) == 0.0556711672835993914244598774101900481": | |
2083 | -double: 1 | |
2084 | float: 1 | |
2085 | -idouble: 1 | |
2086 | ifloat: 1 | |
2087 | ildouble: 1 | |
2088 | ldouble: 1 | |
2089 | Test "yn (0, 8.0) == 0.223521489387566220527323400498620359": | |
2090 | -double: 1 | |
2091 | float: 1 | |
2092 | -idouble: 1 | |
2093 | ifloat: 1 | |
2094 | ildouble: 1 | |
2095 | ldouble: 1 | |
2096 | Test "yn (1, 0.125) == -5.19993611253477499595928744876579921": | |
2097 | ildouble: 1 | |
2098 | ldouble: 1 | |
2099 | -Test "yn (1, 1.0) == -0.781212821300288716547150000047964821": | |
2100 | -double: 1 | |
2101 | -idouble: 1 | |
2102 | Test "yn (1, 10.0) == 0.249015424206953883923283474663222803": | |
2103 | double: 2 | |
2104 | float: 2 | |
2105 | @@ -843,17 +1267,13 @@ ifloat: 2 | |
2106 | ildouble: 1 | |
2107 | ldouble: 1 | |
2108 | Test "yn (1, 8.0) == -0.158060461731247494255555266187483550": | |
2109 | -double: 1 | |
2110 | float: 2 | |
2111 | -idouble: 1 | |
2112 | ifloat: 2 | |
2113 | ildouble: 1 | |
2114 | ldouble: 1 | |
2115 | Test "yn (10, 0.125) == -127057845771019398.252538486899753195": | |
2116 | double: 1 | |
2117 | -float: 1 | |
2118 | idouble: 1 | |
2119 | -ifloat: 1 | |
2120 | ildouble: 2 | |
2121 | ldouble: 2 | |
2122 | Test "yn (10, 0.75) == -2133501638.90573424452445412893839236": | |
2123 | @@ -862,28 +1282,22 @@ ifloat: 1 | |
2124 | ildouble: 4 | |
2125 | ldouble: 4 | |
2126 | Test "yn (10, 1.0) == -121618014.278689189288130426667971145": | |
2127 | -double: 1 | |
2128 | float: 2 | |
2129 | -idouble: 1 | |
2130 | ifloat: 2 | |
2131 | Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": | |
2132 | double: 1 | |
2133 | -float: 3 | |
2134 | +float: 1 | |
2135 | idouble: 1 | |
2136 | -ifloat: 3 | |
2137 | +ifloat: 1 | |
2138 | Test "yn (10, 2.0) == -129184.542208039282635913145923304214": | |
2139 | -double: 2 | |
2140 | float: 3 | |
2141 | -idouble: 2 | |
2142 | ifloat: 3 | |
2143 | Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": | |
2144 | ildouble: 1 | |
2145 | ldouble: 1 | |
2146 | Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": | |
2147 | double: 1 | |
2148 | -float: 1 | |
2149 | idouble: 1 | |
2150 | -ifloat: 1 | |
2151 | ildouble: 2 | |
2152 | ldouble: 2 | |
2153 | Test "yn (3, 10.0) == -0.251362657183837329779204747654240998": | |
2154 | @@ -892,15 +1306,13 @@ float: 1 | |
2155 | idouble: 1 | |
2156 | ifloat: 1 | |
2157 | Test "yn (3, 2.0) == -1.12778377684042778608158395773179238": | |
2158 | -double: 1 | |
2159 | float: 1 | |
2160 | -idouble: 1 | |
2161 | ifloat: 1 | |
2162 | ||
2163 | # Maximal error of functions: | |
2164 | Function: "acos": | |
2165 | -ildouble: 622 | |
2166 | -ldouble: 622 | |
2167 | +ildouble: 1 | |
2168 | +ldouble: 1 | |
2169 | ||
2170 | Function: "asin": | |
2171 | ildouble: 1 | |
2172 | @@ -917,18 +1329,6 @@ ildouble: 2 | |
2173 | ldouble: 2 | |
2174 | ||
2175 | Function: Real part of "cacosh": | |
2176 | -double: 1 | |
2177 | -float: 9 | |
2178 | -idouble: 1 | |
2179 | -ifloat: 9 | |
2180 | -ildouble: 6 | |
2181 | -ldouble: 6 | |
2182 | - | |
2183 | -Function: Imaginary part of "cacosh": | |
2184 | -double: 1 | |
2185 | -float: 4 | |
2186 | -idouble: 1 | |
2187 | -ifloat: 4 | |
2188 | ildouble: 1 | |
2189 | ldouble: 1 | |
2190 | ||
2191 | @@ -1033,8 +1433,6 @@ double: 1 | |
2192 | float: 1 | |
2193 | idouble: 1 | |
2194 | ifloat: 1 | |
2195 | -ildouble: 1 | |
2196 | -ldouble: 1 | |
2197 | ||
2198 | Function: "cos": | |
2199 | double: 2 | |
2200 | @@ -1044,16 +1442,58 @@ ifloat: 1 | |
2201 | ildouble: 1 | |
2202 | ldouble: 1 | |
2203 | ||
2204 | -Function: "cosh": | |
2205 | +Function: "cos_downward": | |
2206 | +double: 1 | |
2207 | +float: 1 | |
2208 | +idouble: 1 | |
2209 | +ifloat: 1 | |
2210 | +ildouble: 1 | |
2211 | +ldouble: 1 | |
2212 | + | |
2213 | +Function: "cos_tonearest": | |
2214 | ildouble: 1 | |
2215 | +ldouble: 1 | |
2216 | + | |
2217 | +Function: "cos_towardzero": | |
2218 | +double: 1 | |
2219 | +float: 1 | |
2220 | +idouble: 1 | |
2221 | +ifloat: 1 | |
2222 | +ildouble: 1 | |
2223 | +ldouble: 1 | |
2224 | + | |
2225 | +Function: "cos_upward": | |
2226 | +double: 1 | |
2227 | +float: 1 | |
2228 | +idouble: 1 | |
2229 | +ifloat: 1 | |
2230 | +ildouble: 1 | |
2231 | +ldouble: 1 | |
2232 | + | |
2233 | +Function: "cosh_downward": | |
2234 | +double: 1 | |
2235 | +float: 1 | |
2236 | +ldouble: 2 | |
2237 | + | |
2238 | +Function: "cosh_tonearest": | |
2239 | +ldouble: 1 | |
2240 | + | |
2241 | +Function: "cosh_towardzero": | |
2242 | +double: 1 | |
2243 | +float: 1 | |
2244 | +ldouble: 2 | |
2245 | + | |
2246 | +Function: "cosh_upward": | |
2247 | +double: 1 | |
2248 | +ldouble: 1 | |
2249 | ||
2250 | Function: Real part of "cpow": | |
2251 | double: 1 | |
2252 | float: 4 | |
2253 | idouble: 1 | |
2254 | ifloat: 4 | |
2255 | -ildouble: 763 | |
2256 | -ldouble: 763 | |
2257 | +ildouble: 6 | |
2258 | +ldouble: 6 | |
2259 | ||
2260 | Function: Imaginary part of "cpow": | |
2261 | double: 2 | |
2262 | @@ -1086,38 +1526,32 @@ double: 1 | |
2263 | float: 1 | |
2264 | idouble: 1 | |
2265 | ifloat: 1 | |
2266 | -ildouble: 2 | |
2267 | -ldouble: 2 | |
2268 | ||
2269 | Function: Real part of "ctan": | |
2270 | double: 1 | |
2271 | idouble: 1 | |
2272 | -ildouble: 439 | |
2273 | -ldouble: 439 | |
2274 | +ildouble: 1 | |
2275 | +ldouble: 1 | |
2276 | ||
2277 | Function: Imaginary part of "ctan": | |
2278 | -double: 1 | |
2279 | float: 1 | |
2280 | -idouble: 1 | |
2281 | ifloat: 1 | |
2282 | ildouble: 3 | |
2283 | ldouble: 3 | |
2284 | ||
2285 | Function: Real part of "ctanh": | |
2286 | -double: 1 | |
2287 | float: 1 | |
2288 | -idouble: 1 | |
2289 | ifloat: 1 | |
2290 | -ildouble: 5 | |
2291 | -ldouble: 5 | |
2292 | +ildouble: 3 | |
2293 | +ldouble: 3 | |
2294 | ||
2295 | Function: Imaginary part of "ctanh": | |
2296 | double: 1 | |
2297 | float: 1 | |
2298 | idouble: 1 | |
2299 | ifloat: 1 | |
2300 | -ildouble: 25 | |
2301 | -ldouble: 25 | |
2302 | +ildouble: 1 | |
2303 | +ldouble: 1 | |
2304 | ||
2305 | Function: "erf": | |
2306 | double: 1 | |
2307 | @@ -1125,19 +1559,36 @@ idouble: 1 | |
2308 | ||
2309 | Function: "erfc": | |
2310 | double: 1 | |
2311 | -float: 1 | |
2312 | idouble: 1 | |
2313 | -ifloat: 1 | |
2314 | ildouble: 1 | |
2315 | ldouble: 1 | |
2316 | ||
2317 | -Function: "exp": | |
2318 | -ildouble: 754 | |
2319 | - | |
2320 | Function: "exp10": | |
2321 | ildouble: 8 | |
2322 | ldouble: 8 | |
2323 | ||
2324 | +Function: "exp_downward": | |
2325 | +double: 1 | |
2326 | +float: 1 | |
2327 | +idouble: 1 | |
2328 | +ifloat: 1 | |
2329 | +ildouble: 2 | |
2330 | +ldouble: 2 | |
2331 | + | |
2332 | +Function: "exp_towardzero": | |
2333 | +double: 1 | |
2334 | +float: 1 | |
2335 | +idouble: 1 | |
2336 | +ifloat: 1 | |
2337 | +ildouble: 2 | |
2338 | +ldouble: 2 | |
2339 | + | |
2340 | +Function: "exp_upward": | |
2341 | +double: 1 | |
2342 | +float: 1 | |
2343 | +idouble: 1 | |
2344 | +ifloat: 1 | |
2345 | + | |
2346 | Function: "expm1": | |
2347 | ildouble: 1 | |
2348 | ||
2349 | @@ -1151,10 +1602,10 @@ Function: "hypot": | |
2350 | float: 1 | |
2351 | ||
2352 | Function: "j0": | |
2353 | -double: 3 | |
2354 | -float: 2 | |
2355 | -idouble: 3 | |
2356 | -ifloat: 2 | |
2357 | +double: 1 | |
2358 | +float: 1 | |
2359 | +idouble: 1 | |
2360 | +ifloat: 1 | |
2361 | ildouble: 1 | |
2362 | ldouble: 1 | |
2363 | ||
2364 | @@ -1167,10 +1618,10 @@ ildouble: 1 | |
2365 | ldouble: 1 | |
2366 | ||
2367 | Function: "jn": | |
2368 | -double: 5 | |
2369 | -float: 2 | |
2370 | -idouble: 5 | |
2371 | -ifloat: 2 | |
2372 | +double: 1 | |
2373 | +float: 1 | |
2374 | +idouble: 1 | |
2375 | +ifloat: 1 | |
2376 | ildouble: 2 | |
2377 | ldouble: 2 | |
2378 | ||
2379 | @@ -1192,6 +1643,58 @@ ifloat: 1 | |
2380 | ildouble: 1 | |
2381 | ldouble: 1 | |
2382 | ||
2383 | +Function: "pow_downward": | |
2384 | +double: 1 | |
2385 | +float: 1 | |
2386 | +idouble: 1 | |
2387 | +ifloat: 1 | |
2388 | +ildouble: 1 | |
2389 | +ldouble: 1 | |
2390 | + | |
2391 | +Function: "pow_towardzero": | |
2392 | +double: 1 | |
2393 | +float: 1 | |
2394 | +idouble: 1 | |
2395 | +ifloat: 1 | |
2396 | +ildouble: 1 | |
2397 | +ldouble: 1 | |
2398 | + | |
2399 | +Function: "pow_upward": | |
2400 | +double: 1 | |
2401 | +float: 1 | |
2402 | +idouble: 1 | |
2403 | +ifloat: 1 | |
2404 | +ildouble: 1 | |
2405 | +ldouble: 1 | |
2406 | + | |
2407 | +Function: "sin_downward": | |
2408 | +double: 1 | |
2409 | +float: 1 | |
2410 | +idouble: 1 | |
2411 | +ifloat: 1 | |
2412 | +ildouble: 1 | |
2413 | +ldouble: 1 | |
2414 | + | |
2415 | +Function: "sin_tonearest": | |
2416 | +ildouble: 1 | |
2417 | +ldouble: 1 | |
2418 | + | |
2419 | +Function: "sin_towardzero": | |
2420 | +double: 1 | |
2421 | +float: 1 | |
2422 | +idouble: 1 | |
2423 | +ifloat: 1 | |
2424 | +ildouble: 1 | |
2425 | +ldouble: 1 | |
2426 | + | |
2427 | +Function: "sin_upward": | |
2428 | +double: 1 | |
2429 | +float: 1 | |
2430 | +idouble: 1 | |
2431 | +ifloat: 1 | |
2432 | +ildouble: 1 | |
2433 | +ldouble: 1 | |
2434 | + | |
2435 | Function: "sincos": | |
2436 | double: 1 | |
2437 | float: 1 | |
2438 | @@ -1201,13 +1704,62 @@ ildouble: 1 | |
2439 | ldouble: 1 | |
2440 | ||
2441 | Function: "sinh": | |
2442 | -double: 1 | |
2443 | ildouble: 1 | |
2444 | ||
2445 | +Function: "sinh_downward": | |
2446 | +double: 1 | |
2447 | +float: 1 | |
2448 | +idouble: 1 | |
2449 | +ifloat: 1 | |
2450 | +ldouble: 5 | |
2451 | + | |
2452 | +Function: "sinh_tonearest": | |
2453 | +ldouble: 6 | |
2454 | + | |
2455 | +Function: "sinh_towardzero": | |
2456 | +double: 1 | |
2457 | +float: 1 | |
2458 | +idouble: 1 | |
2459 | +ifloat: 1 | |
2460 | +ldouble: 5 | |
2461 | + | |
2462 | +Function: "sinh_upward": | |
2463 | +double: 1 | |
2464 | +idouble: 1 | |
2465 | +ldouble: 27 | |
2466 | + | |
2467 | Function: "tan": | |
2468 | double: 1 | |
2469 | idouble: 1 | |
2470 | ||
2471 | +Function: "tan_downward": | |
2472 | +double: 1 | |
2473 | +float: 1 | |
2474 | +idouble: 1 | |
2475 | +ifloat: 1 | |
2476 | +ildouble: 1 | |
2477 | +ldouble: 1 | |
2478 | + | |
2479 | +Function: "tan_tonearest": | |
2480 | +ildouble: 1 | |
2481 | +ldouble: 1 | |
2482 | + | |
2483 | +Function: "tan_towardzero": | |
2484 | +double: 1 | |
2485 | +float: 1 | |
2486 | +idouble: 1 | |
2487 | +ifloat: 1 | |
2488 | +ildouble: 2 | |
2489 | +ldouble: 2 | |
2490 | + | |
2491 | +Function: "tan_upward": | |
2492 | +double: 1 | |
2493 | +float: 1 | |
2494 | +idouble: 1 | |
2495 | +ifloat: 1 | |
2496 | +ildouble: 2 | |
2497 | +ldouble: 2 | |
2498 | + | |
2499 | Function: "tgamma": | |
2500 | double: 2 | |
2501 | float: 1 | |
2502 | @@ -1217,9 +1769,9 @@ ildouble: 1 | |
2503 | ldouble: 1 | |
2504 | ||
2505 | Function: "y0": | |
2506 | -double: 2 | |
2507 | +double: 1 | |
2508 | float: 1 | |
2509 | -idouble: 2 | |
2510 | +idouble: 1 | |
2511 | ifloat: 1 | |
2512 | ildouble: 1 | |
2513 | ldouble: 1 | |
2514 | diff -Nrup a/sysdeps/ieee754/dbl-64/e_exp.c b/sysdeps/ieee754/dbl-64/e_exp.c | |
2515 | --- a/sysdeps/ieee754/dbl-64/e_exp.c 2010-05-04 05:27:23.000000000 -0600 | |
2516 | +++ b/sysdeps/ieee754/dbl-64/e_exp.c 2012-08-06 09:54:00.823929687 -0600 | |
2517 | @@ -1,7 +1,7 @@ | |
2518 | /* | |
2519 | * IBM Accurate Mathematical Library | |
2520 | * written by International Business Machines Corp. | |
2521 | - * Copyright (C) 2001 Free Software Foundation | |
2522 | + * Copyright (C) 2001-2012 Free Software Foundation | |
2523 | * | |
2524 | * This program is free software; you can redistribute it and/or modify | |
2525 | * it under the terms of the GNU Lesser General Public License as published by | |
2526 | @@ -39,6 +39,7 @@ | |
2527 | #include "MathLib.h" | |
2528 | #include "uexp.tbl" | |
2529 | #include "math_private.h" | |
2530 | +#include <fenv.h> | |
2531 | ||
2532 | double __slowexp(double); | |
2533 | ||
2534 | @@ -53,6 +54,10 @@ double __ieee754_exp(double x) { | |
2535 | int4 k; | |
2536 | #endif | |
2537 | int4 i,j,m,n,ex; | |
2538 | + fenv_t env; | |
2539 | + double retval; | |
2540 | + | |
2541 | + libc_feholdexcept_setround (&env, FE_TONEAREST); | |
2542 | ||
2543 | junk1.x = x; | |
2544 | m = junk1.i[HIGH_HALF]; | |
2545 | @@ -85,18 +90,19 @@ double __ieee754_exp(double x) { | |
2546 | rem=(bet + bet*eps)+al*eps; | |
2547 | res = al + rem; | |
2548 | cor = (al - res) + rem; | |
2549 | - if (res == (res+cor*err_0)) return res*binexp.x; | |
2550 | - else return __slowexp(x); /*if error is over bound */ | |
2551 | + if (res == (res+cor*err_0)) { retval = res*binexp.x; goto ret; } | |
2552 | + else { retval = __slowexp(x); goto ret; } /*if error is over bound */ | |
2553 | } | |
2554 | ||
2555 | - if (n <= smallint) return 1.0; | |
2556 | + if (n <= smallint) { retval = 1.0; goto ret; } | |
2557 | ||
2558 | if (n >= badint) { | |
2559 | - if (n > infint) return(x+x); /* x is NaN */ | |
2560 | - if (n < infint) return ( (x>0) ? (hhuge*hhuge) : (tiny*tiny) ); | |
2561 | + if (n > infint) { retval = x+x; goto ret; } /* x is NaN */ | |
2562 | + if (n < infint) { retval = (x>0) ? (hhuge*hhuge) : (tiny*tiny); goto ret; } | |
2563 | /* x is finite, cause either overflow or underflow */ | |
2564 | - if (junk1.i[LOW_HALF] != 0) return (x+x); /* x is NaN */ | |
2565 | - return ((x>0)?inf.x:zero ); /* |x| = inf; return either inf or 0 */ | |
2566 | + if (junk1.i[LOW_HALF] != 0) { retval = x+x; goto ret; } /* x is NaN */ | |
2567 | + retval = (x>0)?inf.x:zero; /* |x| = inf; return either inf or 0 */ | |
2568 | + goto ret; | |
2569 | } | |
2570 | ||
2571 | y = x*log2e.x + three51.x; | |
2572 | @@ -121,8 +127,8 @@ double __ieee754_exp(double x) { | |
2573 | if (res < 1.0) {res+=res; cor+=cor; ex-=1;} | |
2574 | if (ex >=-1022) { | |
2575 | binexp.i[HIGH_HALF] = (1023+ex)<<20; | |
2576 | - if (res == (res+cor*err_0)) return res*binexp.x; | |
2577 | - else return __slowexp(x); /*if error is over bound */ | |
2578 | + if (res == (res+cor*err_0)) { retval = res*binexp.x; goto ret; } | |
2579 | + else { retval = __slowexp(x); goto ret; } /*if error is over bound */ | |
2580 | } | |
2581 | ex = -(1022+ex); | |
2582 | binexp.i[HIGH_HALF] = (1023-ex)<<20; | |
2583 | @@ -135,15 +141,19 @@ double __ieee754_exp(double x) { | |
2584 | cor = (t-res)+y; | |
2585 | if (res == (res + eps*cor)) | |
2586 | { binexp.i[HIGH_HALF] = 0x00100000; | |
2587 | - return (res-1.0)*binexp.x; | |
2588 | + retval = (res-1.0)*binexp.x; | |
2589 | + goto ret; | |
2590 | } | |
2591 | - else return __slowexp(x); /* if error is over bound */ | |
2592 | + else { retval = __slowexp(x); goto ret; } /* if error is over bound */ | |
2593 | } | |
2594 | else { | |
2595 | binexp.i[HIGH_HALF] =(junk1.i[LOW_HALF]+767)<<20; | |
2596 | - if (res == (res+cor*err_0)) return res*binexp.x*t256.x; | |
2597 | - else return __slowexp(x); | |
2598 | + if (res == (res+cor*err_0)) { retval = res*binexp.x*t256.x; goto ret; } | |
2599 | + else { retval = __slowexp(x); goto ret; } | |
2600 | } | |
2601 | + ret: | |
2602 | + libc_feupdateenv (&env); | |
2603 | + return retval; | |
2604 | } | |
2605 | ||
2606 | /************************************************************************/ | |
2607 | diff -Nrup a/sysdeps/ieee754/dbl-64/e_exp2.c b/sysdeps/ieee754/dbl-64/e_exp2.c | |
2608 | --- a/sysdeps/ieee754/dbl-64/e_exp2.c 2010-05-04 05:27:23.000000000 -0600 | |
2609 | +++ b/sysdeps/ieee754/dbl-64/e_exp2.c 2012-08-06 09:54:00.824929683 -0600 | |
2610 | @@ -24,9 +24,6 @@ | |
2611 | 17 (1), March 1991, pp. 26-45. | |
2612 | It has been slightly modified to compute 2^x instead of e^x. | |
2613 | */ | |
2614 | -#ifndef _GNU_SOURCE | |
2615 | -#define _GNU_SOURCE | |
2616 | -#endif | |
2617 | #include <stdlib.h> | |
2618 | #include <float.h> | |
2619 | #include <ieee754.h> | |
2620 | @@ -37,13 +34,8 @@ | |
2621 | ||
2622 | #include "t_exp2.h" | |
2623 | ||
2624 | -/* XXX I know the assembler generates a warning about incorrect section | |
2625 | - attributes. But without the attribute here the compiler places the | |
2626 | - constants in the .data section. Ideally the constant is placed in | |
2627 | - .rodata.cst8 so that it can be merged, but gcc sucks, it ICEs when | |
2628 | - we try to force this section on it. --drepper */ | |
2629 | -static const volatile double TWO1023 = 8.988465674311579539e+307; | |
2630 | -static const volatile double TWOM1000 = 9.3326361850321887899e-302; | |
2631 | +static const double TWO1023 = 8.988465674311579539e+307; | |
2632 | +static const double TWOM1000 = 9.3326361850321887899e-302; | |
2633 | ||
2634 | double | |
2635 | __ieee754_exp2 (double x) | |
2636 | @@ -60,11 +52,7 @@ __ieee754_exp2 (double x) | |
2637 | union ieee754_double ex2_u, scale_u; | |
2638 | fenv_t oldenv; | |
2639 | ||
2640 | - feholdexcept (&oldenv); | |
2641 | -#ifdef FE_TONEAREST | |
2642 | - /* If we don't have this, it's too bad. */ | |
2643 | - fesetround (FE_TONEAREST); | |
2644 | -#endif | |
2645 | + libc_feholdexcept_setround (&oldenv, FE_TONEAREST); | |
2646 | ||
2647 | /* 1. Argument reduction. | |
2648 | Choose integers ex, -256 <= t < 256, and some real | |
2649 | @@ -108,9 +96,10 @@ __ieee754_exp2 (double x) | |
2650 | * x + .055504110254308625) | |
2651 | * x + .240226506959100583) | |
2652 | * x + .69314718055994495) * ex2_u.d; | |
2653 | + math_opt_barrier (x22); | |
2654 | ||
2655 | /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */ | |
2656 | - fesetenv (&oldenv); | |
2657 | + libc_fesetenv (&oldenv); | |
2658 | ||
2659 | result = x22 * x + ex2_u.d; | |
2660 | ||
2661 | diff -Nrup a/sysdeps/ieee754/dbl-64/e_pow.c b/sysdeps/ieee754/dbl-64/e_pow.c | |
2662 | --- a/sysdeps/ieee754/dbl-64/e_pow.c 2010-05-04 05:27:23.000000000 -0600 | |
2663 | +++ b/sysdeps/ieee754/dbl-64/e_pow.c 2012-08-06 09:54:00.824929683 -0600 | |
2664 | @@ -42,6 +42,7 @@ | |
2665 | #include "MathLib.h" | |
2666 | #include "upow.tbl" | |
2667 | #include "math_private.h" | |
2668 | +#include <fenv.h> | |
2669 | ||
2670 | ||
2671 | double __exp1(double x, double xx, double error); | |
2672 | @@ -79,6 +80,11 @@ double __ieee754_pow(double x, double y) | |
2673 | (u.i[HIGH_HALF]==0 && u.i[LOW_HALF]!=0)) && | |
2674 | /* 2^-1023< x<= 2^-1023 * 0x1.0000ffffffff */ | |
2675 | (v.i[HIGH_HALF]&0x7fffffff) < 0x4ff00000) { /* if y<-1 or y>1 */ | |
2676 | + fenv_t env; | |
2677 | + double retval; | |
2678 | + | |
2679 | + libc_feholdexcept_setround (&env, FE_TONEAREST); | |
2680 | + | |
2681 | z = log1(x,&aa,&error); /* x^y =e^(y log (X)) */ | |
2682 | t = y*134217729.0; | |
2683 | y1 = t - (t-y); | |
2684 | @@ -92,7 +98,10 @@ double __ieee754_pow(double x, double y) | |
2685 | a2 = (a-a1)+aa; | |
2686 | error = error*ABS(y); | |
2687 | t = __exp1(a1,a2,1.9e16*error); /* return -10 or 0 if wasn't computed exactly */ | |
2688 | - return (t>0)?t:power1(x,y); | |
2689 | + retval = (t>0)?t:power1(x,y); | |
2690 | + | |
2691 | + libc_feupdateenv (&env); | |
2692 | + return retval; | |
2693 | } | |
2694 | ||
2695 | if (x == 0) { | |
2696 | diff -Nrup a/sysdeps/ieee754/dbl-64/s_sin.c b/sysdeps/ieee754/dbl-64/s_sin.c | |
2697 | --- a/sysdeps/ieee754/dbl-64/s_sin.c 2010-05-04 05:27:23.000000000 -0600 | |
2698 | +++ b/sysdeps/ieee754/dbl-64/s_sin.c 2012-08-06 09:54:00.827929671 -0600 | |
2699 | @@ -55,6 +55,7 @@ | |
2700 | #include "MathLib.h" | |
2701 | #include "sincos.tbl" | |
2702 | #include "math_private.h" | |
2703 | +#include <fenv.h> | |
2704 | ||
2705 | static const double | |
2706 | sn3 = -1.66666666666664880952546298448555E-01, | |
2707 | @@ -97,12 +98,16 @@ double __sin(double x){ | |
2708 | #if 0 | |
2709 | int4 nn; | |
2710 | #endif | |
2711 | + fenv_t env; | |
2712 | + double retval = 0; | |
2713 | + | |
2714 | + libc_feholdexcept_setround (&env, FE_TONEAREST); | |
2715 | ||
2716 | u.x = x; | |
2717 | m = u.i[HIGH_HALF]; | |
2718 | k = 0x7fffffff&m; /* no sign */ | |
2719 | if (k < 0x3e500000) /* if x->0 =>sin(x)=x */ | |
2720 | - return x; | |
2721 | + { retval = x; goto ret; } | |
2722 | /*---------------------------- 2^-26 < |x|< 0.25 ----------------------*/ | |
2723 | else if (k < 0x3fd00000){ | |
2724 | xx = x*x; | |
2725 | @@ -110,7 +115,8 @@ double __sin(double x){ | |
2726 | t = ((((s5.x*xx + s4.x)*xx + s3.x)*xx + s2.x)*xx + s1.x)*(xx*x); | |
2727 | res = x+t; | |
2728 | cor = (x-res)+t; | |
2729 | - return (res == res + 1.07*cor)? res : slow(x); | |
2730 | + retval = (res == res + 1.07*cor)? res : slow(x); | |
2731 | + goto ret; | |
2732 | } /* else if (k < 0x3fd00000) */ | |
2733 | /*---------------------------- 0.25<|x|< 0.855469---------------------- */ | |
2734 | else if (k < 0x3feb6000) { | |
2735 | @@ -127,7 +133,8 @@ double __sin(double x){ | |
2736 | cor=(ssn+s*ccs-sn*c)+cs*s; | |
2737 | res=sn+cor; | |
2738 | cor=(sn-res)+cor; | |
2739 | - return (res==res+1.025*cor)? res : slow1(x); | |
2740 | + retval = (res==res+1.096*cor)? res : slow1(x); | |
2741 | + goto ret; | |
2742 | } /* else if (k < 0x3feb6000) */ | |
2743 | ||
2744 | /*----------------------- 0.855469 <|x|<2.426265 ----------------------*/ | |
2745 | @@ -153,7 +160,8 @@ double __sin(double x){ | |
2746 | cor=(ccs-s*ssn-cs*c)-sn*s; | |
2747 | res=cs+cor; | |
2748 | cor=(cs-res)+cor; | |
2749 | - return (res==res+1.020*cor)? ((m>0)?res:-res) : slow2(x); | |
2750 | + retval = (res==res+1.020*cor)? ((m>0)?res:-res) : slow2(x); | |
2751 | + goto ret; | |
2752 | } /* else if (k < 0x400368fd) */ | |
2753 | ||
2754 | /*-------------------------- 2.426265<|x|< 105414350 ----------------------*/ | |
2755 | @@ -179,7 +187,8 @@ double __sin(double x){ | |
2756 | res = a+t; | |
2757 | cor = (a-res)+t; | |
2758 | cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; | |
2759 | - return (res == res + cor)? res : sloww(a,da,x); | |
2760 | + retval = (res == res + cor)? res : sloww(a,da,x); | |
2761 | + goto ret; | |
2762 | } | |
2763 | else { | |
2764 | if (a>0) | |
2765 | @@ -200,7 +209,8 @@ double __sin(double x){ | |
2766 | res=sn+cor; | |
2767 | cor=(sn-res)+cor; | |
2768 | cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; | |
2769 | - return (res==res+cor)? ((m)?res:-res) : sloww1(a,da,x); | |
2770 | + retval = (res==res+cor)? ((m)?res:-res) : sloww1(a,da,x); | |
2771 | + goto ret; | |
2772 | } | |
2773 | break; | |
2774 | ||
2775 | @@ -222,7 +232,8 @@ double __sin(double x){ | |
2776 | res=cs+cor; | |
2777 | cor=(cs-res)+cor; | |
2778 | cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; | |
2779 | - return (res==res+cor)? ((n&2)?-res:res) : sloww2(a,da,x,n); | |
2780 | + retval = (res==res+cor)? ((n&2)?-res:res) : sloww2(a,da,x,n); | |
2781 | + goto ret; | |
2782 | ||
2783 | break; | |
2784 | ||
2785 | @@ -258,7 +269,8 @@ double __sin(double x){ | |
2786 | res = a+t; | |
2787 | cor = (a-res)+t; | |
2788 | cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; | |
2789 | - return (res == res + cor)? res : bsloww(a,da,x,n); | |
2790 | + retval = (res == res + cor)? res : bsloww(a,da,x,n); | |
2791 | + goto ret; | |
2792 | } | |
2793 | else { | |
2794 | if (a>0) {m=1;t=a;db=da;} | |
2795 | @@ -277,7 +289,8 @@ double __sin(double x){ | |
2796 | res=sn+cor; | |
2797 | cor=(sn-res)+cor; | |
2798 | cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; | |
2799 | - return (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); | |
2800 | + retval = (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); | |
2801 | + goto ret; | |
2802 | } | |
2803 | break; | |
2804 | ||
2805 | @@ -299,7 +312,8 @@ double __sin(double x){ | |
2806 | res=cs+cor; | |
2807 | cor=(cs-res)+cor; | |
2808 | cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; | |
2809 | - return (res==res+cor)? ((n&2)?-res:res) : bsloww2(a,da,x,n); | |
2810 | + retval = (res==res+cor)? ((n&2)?-res:res) : bsloww2(a,da,x,n); | |
2811 | + goto ret; | |
2812 | ||
2813 | break; | |
2814 | ||
2815 | @@ -313,17 +327,20 @@ double __sin(double x){ | |
2816 | n = __branred(x,&a,&da); | |
2817 | switch (n) { | |
2818 | case 0: | |
2819 | - if (a*a < 0.01588) return bsloww(a,da,x,n); | |
2820 | - else return bsloww1(a,da,x,n); | |
2821 | + if (a*a < 0.01588) retval = bsloww(a,da,x,n); | |
2822 | + else retval = bsloww1(a,da,x,n); | |
2823 | + goto ret; | |
2824 | break; | |
2825 | case 2: | |
2826 | - if (a*a < 0.01588) return bsloww(-a,-da,x,n); | |
2827 | - else return bsloww1(-a,-da,x,n); | |
2828 | + if (a*a < 0.01588) retval = bsloww(-a,-da,x,n); | |
2829 | + else retval = bsloww1(-a,-da,x,n); | |
2830 | + goto ret; | |
2831 | break; | |
2832 | ||
2833 | case 1: | |
2834 | case 3: | |
2835 | - return bsloww2(a,da,x,n); | |
2836 | + retval = bsloww2(a,da,x,n); | |
2837 | + goto ret; | |
2838 | break; | |
2839 | } | |
2840 | ||
2841 | @@ -333,9 +350,13 @@ double __sin(double x){ | |
2842 | else { | |
2843 | if (k == 0x7ff00000 && u.i[LOW_HALF] == 0) | |
2844 | __set_errno (EDOM); | |
2845 | - return x / x; | |
2846 | + retval = x / x; | |
2847 | + goto ret; | |
2848 | } | |
2849 | - return 0; /* unreachable */ | |
2850 | + | |
2851 | + ret: | |
2852 | + libc_feupdateenv (&env); | |
2853 | + return retval; | |
2854 | } | |
2855 | ||
2856 | ||
2857 | @@ -350,11 +371,16 @@ double __cos(double x) | |
2858 | mynumber u,v; | |
2859 | int4 k,m,n; | |
2860 | ||
2861 | + fenv_t env; | |
2862 | + double retval = 0; | |
2863 | + | |
2864 | + libc_feholdexcept_setround (&env, FE_TONEAREST); | |
2865 | + | |
2866 | u.x = x; | |
2867 | m = u.i[HIGH_HALF]; | |
2868 | k = 0x7fffffff&m; | |
2869 | ||
2870 | - if (k < 0x3e400000 ) return 1.0; /* |x|<2^-27 => cos(x)=1 */ | |
2871 | + if (k < 0x3e400000 ) { retval = 1.0; goto ret; } /* |x|<2^-27 => cos(x)=1 */ | |
2872 | ||
2873 | else if (k < 0x3feb6000 ) {/* 2^-27 < |x| < 0.855469 */ | |
2874 | y=ABS(x); | |
2875 | @@ -371,7 +397,8 @@ double __cos(double x) | |
2876 | cor=(ccs-s*ssn-cs*c)-sn*s; | |
2877 | res=cs+cor; | |
2878 | cor=(cs-res)+cor; | |
2879 | - return (res==res+1.020*cor)? res : cslow2(x); | |
2880 | + retval = (res==res+1.020*cor)? res : cslow2(x); | |
2881 | + goto ret; | |
2882 | ||
2883 | } /* else if (k < 0x3feb6000) */ | |
2884 | ||
2885 | @@ -385,7 +412,8 @@ double __cos(double x) | |
2886 | res = a+t; | |
2887 | cor = (a-res)+t; | |
2888 | cor = (cor>0)? 1.02*cor+1.0e-31 : 1.02*cor -1.0e-31; | |
2889 | - return (res == res + cor)? res : csloww(a,da,x); | |
2890 | + retval = (res == res + cor)? res : csloww(a,da,x); | |
2891 | + goto ret; | |
2892 | } | |
2893 | else { | |
2894 | if (a>0) {m=1;t=a;db=da;} | |
2895 | @@ -404,7 +432,8 @@ double __cos(double x) | |
2896 | res=sn+cor; | |
2897 | cor=(sn-res)+cor; | |
2898 | cor = (cor>0)? 1.035*cor+1.0e-31 : 1.035*cor-1.0e-31; | |
2899 | - return (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); | |
2900 | + retval = (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); | |
2901 | + goto ret; | |
2902 | } | |
2903 | ||
2904 | } /* else if (k < 0x400368fd) */ | |
2905 | @@ -431,7 +460,8 @@ double __cos(double x) | |
2906 | res = a+t; | |
2907 | cor = (a-res)+t; | |
2908 | cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; | |
2909 | - return (res == res + cor)? res : csloww(a,da,x); | |
2910 | + retval = (res == res + cor)? res : csloww(a,da,x); | |
2911 | + goto ret; | |
2912 | } | |
2913 | else { | |
2914 | if (a>0) {m=1;t=a;db=da;} | |
2915 | @@ -450,7 +480,8 @@ double __cos(double x) | |
2916 | res=sn+cor; | |
2917 | cor=(sn-res)+cor; | |
2918 | cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; | |
2919 | - return (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); | |
2920 | + retval = (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); | |
2921 | + goto ret; | |
2922 | } | |
2923 | break; | |
2924 | ||
2925 | @@ -471,7 +502,8 @@ double __cos(double x) | |
2926 | res=cs+cor; | |
2927 | cor=(cs-res)+cor; | |
2928 | cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; | |
2929 | - return (res==res+cor)? ((n)?-res:res) : csloww2(a,da,x,n); | |
2930 | + retval = (res==res+cor)? ((n)?-res:res) : csloww2(a,da,x,n); | |
2931 | + goto ret; | |
2932 | ||
2933 | break; | |
2934 | ||
2935 | @@ -506,7 +538,8 @@ double __cos(double x) | |
2936 | res = a+t; | |
2937 | cor = (a-res)+t; | |
2938 | cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; | |
2939 | - return (res == res + cor)? res : bsloww(a,da,x,n); | |
2940 | + retval = (res == res + cor)? res : bsloww(a,da,x,n); | |
2941 | + goto ret; | |
2942 | } | |
2943 | else { | |
2944 | if (a>0) {m=1;t=a;db=da;} | |
2945 | @@ -525,7 +558,8 @@ double __cos(double x) | |
2946 | res=sn+cor; | |
2947 | cor=(sn-res)+cor; | |
2948 | cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; | |
2949 | - return (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); | |
2950 | + retval = (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); | |
2951 | + goto ret; | |
2952 | } | |
2953 | break; | |
2954 | ||
2955 | @@ -546,7 +580,8 @@ double __cos(double x) | |
2956 | res=cs+cor; | |
2957 | cor=(cs-res)+cor; | |
2958 | cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; | |
2959 | - return (res==res+cor)? ((n)?-res:res) : bsloww2(a,da,x,n); | |
2960 | + retval = (res==res+cor)? ((n)?-res:res) : bsloww2(a,da,x,n); | |
2961 | + goto ret; | |
2962 | break; | |
2963 | ||
2964 | } | |
2965 | @@ -558,17 +593,20 @@ double __cos(double x) | |
2966 | n = __branred(x,&a,&da); | |
2967 | switch (n) { | |
2968 | case 1: | |
2969 | - if (a*a < 0.01588) return bsloww(-a,-da,x,n); | |
2970 | - else return bsloww1(-a,-da,x,n); | |
2971 | + if (a*a < 0.01588) retval = bsloww(-a,-da,x,n); | |
2972 | + else retval = bsloww1(-a,-da,x,n); | |
2973 | + goto ret; | |
2974 | break; | |
2975 | case 3: | |
2976 | - if (a*a < 0.01588) return bsloww(a,da,x,n); | |
2977 | - else return bsloww1(a,da,x,n); | |
2978 | + if (a*a < 0.01588) retval = bsloww(a,da,x,n); | |
2979 | + else retval = bsloww1(a,da,x,n); | |
2980 | + goto ret; | |
2981 | break; | |
2982 | ||
2983 | case 0: | |
2984 | case 2: | |
2985 | - return bsloww2(a,da,x,n); | |
2986 | + retval = bsloww2(a,da,x,n); | |
2987 | + goto ret; | |
2988 | break; | |
2989 | } | |
2990 | ||
2991 | @@ -580,10 +618,13 @@ double __cos(double x) | |
2992 | else { | |
2993 | if (k == 0x7ff00000 && u.i[LOW_HALF] == 0) | |
2994 | __set_errno (EDOM); | |
2995 | - return x / x; /* |x| > 2^1024 */ | |
2996 | + retval = x / x; /* |x| > 2^1024 */ | |
2997 | + goto ret; | |
2998 | } | |
2999 | - return 0; | |
3000 | ||
3001 | + ret: | |
3002 | + libc_feupdateenv (&env); | |
3003 | + return retval; | |
3004 | } | |
3005 | ||
3006 | /************************************************************************/ | |
3007 | diff -Nrup a/sysdeps/ieee754/dbl-64/s_tan.c b/sysdeps/ieee754/dbl-64/s_tan.c | |
3008 | --- a/sysdeps/ieee754/dbl-64/s_tan.c 2010-05-04 05:27:23.000000000 -0600 | |
3009 | +++ b/sysdeps/ieee754/dbl-64/s_tan.c 2012-08-06 09:54:00.828929666 -0600 | |
3010 | @@ -40,6 +40,8 @@ | |
3011 | #include "mpa.h" | |
3012 | #include "MathLib.h" | |
3013 | #include "math.h" | |
3014 | +#include "math_private.h" | |
3015 | +#include <fenv.h> | |
3016 | ||
3017 | static double tanMp(double); | |
3018 | void __mptan(double, mp_no *, int); | |
3019 | @@ -58,21 +60,27 @@ double tan(double x) { | |
3020 | mp_no mpy; | |
3021 | #endif | |
3022 | ||
3023 | + fenv_t env; | |
3024 | + double retval; | |
3025 | + | |
3026 | int __branred(double, double *, double *); | |
3027 | int __mpranred(double, mp_no *, int); | |
3028 | ||
3029 | + libc_feholdexcept_setround (&env, FE_TONEAREST); | |
3030 | + | |
3031 | /* x=+-INF, x=NaN */ | |
3032 | num.d = x; ux = num.i[HIGH_HALF]; | |
3033 | if ((ux&0x7ff00000)==0x7ff00000) { | |
3034 | if ((ux&0x7fffffff)==0x7ff00000) | |
3035 | __set_errno (EDOM); | |
3036 | - return x-x; | |
3037 | + retval = x-x; | |
3038 | + goto ret; | |
3039 | } | |
3040 | ||
3041 | w=(x<ZERO) ? -x : x; | |
3042 | ||
3043 | /* (I) The case abs(x) <= 1.259e-8 */ | |
3044 | - if (w<=g1.d) return x; | |
3045 | + if (w<=g1.d) { retval = x; goto ret; } | |
3046 | ||
3047 | /* (II) The case 1.259e-8 < abs(x) <= 0.0608 */ | |
3048 | if (w<=g2.d) { | |
3049 | @@ -80,7 +88,7 @@ double tan(double x) { | |
3050 | /* First stage */ | |
3051 | x2 = x*x; | |
3052 | t2 = x*x2*(d3.d+x2*(d5.d+x2*(d7.d+x2*(d9.d+x2*d11.d)))); | |
3053 | - if ((y=x+(t2-u1.d*t2)) == x+(t2+u1.d*t2)) return y; | |
3054 | + if ((y=x+(t2-u1.d*t2)) == x+(t2+u1.d*t2)) { retval = y; goto ret; } | |
3055 | ||
3056 | /* Second stage */ | |
3057 | c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+ | |
3058 | @@ -100,8 +108,9 @@ double tan(double x) { | |
3059 | MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) | |
3060 | MUL2(x ,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) | |
3061 | ADD2(x ,zero.d,c2,cc2,c1,cc1,t1,t2) | |
3062 | - if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) return y; | |
3063 | - return tanMp(x); | |
3064 | + if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) { retval = y; goto ret; } | |
3065 | + retval = tanMp(x); | |
3066 | + goto ret; | |
3067 | } | |
3068 | ||
3069 | /* (III) The case 0.0608 < abs(x) <= 0.787 */ | |
3070 | @@ -112,10 +121,10 @@ double tan(double x) { | |
3071 | z = w-xfg[i][0].d; z2 = z*z; s = (x<ZERO) ? MONE : ONE; | |
3072 | pz = z+z*z2*(e0.d+z2*e1.d); | |
3073 | fi = xfg[i][1].d; gi = xfg[i][2].d; t2 = pz*(gi+fi)/(gi-pz); | |
3074 | - if ((y=fi+(t2-fi*u3.d))==fi+(t2+fi*u3.d)) return (s*y); | |
3075 | + if ((y=fi+(t2-fi*u3.d))==fi+(t2+fi*u3.d)) { retval = (s*y); goto ret; } | |
3076 | t3 = (t2<ZERO) ? -t2 : t2; | |
3077 | t4 = fi*ua3.d+t3*ub3.d; | |
3078 | - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (s*y); | |
3079 | + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (s*y); goto ret; } | |
3080 | ||
3081 | /* Second stage */ | |
3082 | ffi = xfg[i][3].d; | |
3083 | @@ -133,8 +142,9 @@ double tan(double x) { | |
3084 | SUB2(one.d,zero.d,c3,cc3,c1,cc1,t1,t2) | |
3085 | DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3086 | ||
3087 | - if ((y=c3+(cc3-u4.d*c3))==c3+(cc3+u4.d*c3)) return (s*y); | |
3088 | - return tanMp(x); | |
3089 | + if ((y=c3+(cc3-u4.d*c3))==c3+(cc3+u4.d*c3)) { retval = (s*y); goto ret; } | |
3090 | + retval = tanMp(x); | |
3091 | + goto ret; | |
3092 | } | |
3093 | ||
3094 | /* (---) The case 0.787 < abs(x) <= 25 */ | |
3095 | @@ -152,7 +162,7 @@ double tan(double x) { | |
3096 | else {ya= a; yya= da; sy= ONE;} | |
3097 | ||
3098 | /* (IV),(V) The case 0.787 < abs(x) <= 25, abs(y) <= 1e-7 */ | |
3099 | - if (ya<=gy1.d) return tanMp(x); | |
3100 | + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } | |
3101 | ||
3102 | /* (VI) The case 0.787 < abs(x) <= 25, 1e-7 < abs(y) <= 0.0608 */ | |
3103 | if (ya<=gy2.d) { | |
3104 | @@ -162,10 +172,10 @@ double tan(double x) { | |
3105 | /* First stage -cot */ | |
3106 | EADD(a,t2,b,db) | |
3107 | DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3108 | - if ((y=c+(dc-u6.d*c))==c+(dc+u6.d*c)) return (-y); } | |
3109 | + if ((y=c+(dc-u6.d*c))==c+(dc+u6.d*c)) { retval = (-y); goto ret; } } | |
3110 | else { | |
3111 | /* First stage tan */ | |
3112 | - if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) return y; } | |
3113 | + if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) { retval = y; goto ret; } } | |
3114 | /* Second stage */ | |
3115 | /* Range reduction by algorithm ii */ | |
3116 | t = (x*hpinv.d + toint.d); | |
3117 | @@ -203,11 +213,12 @@ double tan(double x) { | |
3118 | if (n) { | |
3119 | /* Second stage -cot */ | |
3120 | DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3121 | - if ((y=c2+(cc2-u8.d*c2)) == c2+(cc2+u8.d*c2)) return (-y); } | |
3122 | + if ((y=c2+(cc2-u8.d*c2)) == c2+(cc2+u8.d*c2)) { retval = (-y); goto ret; } } | |
3123 | else { | |
3124 | /* Second stage tan */ | |
3125 | - if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) return y; } | |
3126 | - return tanMp(x); | |
3127 | + if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) { retval = y; goto ret; } } | |
3128 | + retval = tanMp(x); | |
3129 | + goto ret; | |
3130 | } | |
3131 | ||
3132 | /* (VII) The case 0.787 < abs(x) <= 25, 0.0608 < abs(y) <= 0.787 */ | |
3133 | @@ -221,17 +232,17 @@ double tan(double x) { | |
3134 | if (n) { | |
3135 | /* -cot */ | |
3136 | t2 = pz*(fi+gi)/(fi+pz); | |
3137 | - if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) return (-sy*y); | |
3138 | + if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) { retval = (-sy*y); goto ret; } | |
3139 | t3 = (t2<ZERO) ? -t2 : t2; | |
3140 | t4 = gi*ua10.d+t3*ub10.d; | |
3141 | - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } | |
3142 | + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } | |
3143 | else { | |
3144 | /* tan */ | |
3145 | t2 = pz*(gi+fi)/(gi-pz); | |
3146 | - if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) return (sy*y); | |
3147 | + if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) { retval = (sy*y); goto ret; } | |
3148 | t3 = (t2<ZERO) ? -t2 : t2; | |
3149 | t4 = fi*ua9.d+t3*ub9.d; | |
3150 | - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } | |
3151 | + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } | |
3152 | ||
3153 | /* Second stage */ | |
3154 | ffi = xfg[i][3].d; | |
3155 | @@ -252,13 +263,14 @@ double tan(double x) { | |
3156 | if (n) { | |
3157 | /* -cot */ | |
3158 | DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3159 | - if ((y=c3+(cc3-u12.d*c3))==c3+(cc3+u12.d*c3)) return (-sy*y); } | |
3160 | + if ((y=c3+(cc3-u12.d*c3))==c3+(cc3+u12.d*c3)) { retval = (-sy*y); goto ret; } } | |
3161 | else { | |
3162 | /* tan */ | |
3163 | DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3164 | - if ((y=c3+(cc3-u11.d*c3))==c3+(cc3+u11.d*c3)) return (sy*y); } | |
3165 | + if ((y=c3+(cc3-u11.d*c3))==c3+(cc3+u11.d*c3)) { retval = (sy*y); goto ret; } } | |
3166 | ||
3167 | - return tanMp(x); | |
3168 | + retval = tanMp(x); | |
3169 | + goto ret; | |
3170 | } | |
3171 | ||
3172 | /* (---) The case 25 < abs(x) <= 1e8 */ | |
3173 | @@ -280,7 +292,7 @@ double tan(double x) { | |
3174 | else {ya= a; yya= da; sy= ONE;} | |
3175 | ||
3176 | /* (+++) The case 25 < abs(x) <= 1e8, abs(y) <= 1e-7 */ | |
3177 | - if (ya<=gy1.d) return tanMp(x); | |
3178 | + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } | |
3179 | ||
3180 | /* (VIII) The case 25 < abs(x) <= 1e8, 1e-7 < abs(y) <= 0.0608 */ | |
3181 | if (ya<=gy2.d) { | |
3182 | @@ -290,10 +302,10 @@ double tan(double x) { | |
3183 | /* First stage -cot */ | |
3184 | EADD(a,t2,b,db) | |
3185 | DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3186 | - if ((y=c+(dc-u14.d*c))==c+(dc+u14.d*c)) return (-y); } | |
3187 | + if ((y=c+(dc-u14.d*c))==c+(dc+u14.d*c)) { retval = (-y); goto ret; } } | |
3188 | else { | |
3189 | /* First stage tan */ | |
3190 | - if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) return y; } | |
3191 | + if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) { retval = y; goto ret; } } | |
3192 | ||
3193 | /* Second stage */ | |
3194 | MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8) | |
3195 | @@ -317,11 +329,12 @@ double tan(double x) { | |
3196 | if (n) { | |
3197 | /* Second stage -cot */ | |
3198 | DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3199 | - if ((y=c2+(cc2-u16.d*c2)) == c2+(cc2+u16.d*c2)) return (-y); } | |
3200 | + if ((y=c2+(cc2-u16.d*c2)) == c2+(cc2+u16.d*c2)) { retval = (-y); goto ret; } } | |
3201 | else { | |
3202 | /* Second stage tan */ | |
3203 | - if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) return (y); } | |
3204 | - return tanMp(x); | |
3205 | + if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) { retval = (y); goto ret; } } | |
3206 | + retval = tanMp(x); | |
3207 | + goto ret; | |
3208 | } | |
3209 | ||
3210 | /* (IX) The case 25 < abs(x) <= 1e8, 0.0608 < abs(y) <= 0.787 */ | |
3211 | @@ -334,17 +347,17 @@ double tan(double x) { | |
3212 | if (n) { | |
3213 | /* -cot */ | |
3214 | t2 = pz*(fi+gi)/(fi+pz); | |
3215 | - if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) return (-sy*y); | |
3216 | + if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) { retval = (-sy*y); goto ret; } | |
3217 | t3 = (t2<ZERO) ? -t2 : t2; | |
3218 | t4 = gi*ua18.d+t3*ub18.d; | |
3219 | - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } | |
3220 | + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } | |
3221 | else { | |
3222 | /* tan */ | |
3223 | t2 = pz*(gi+fi)/(gi-pz); | |
3224 | - if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) return (sy*y); | |
3225 | + if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) { retval = (sy*y); goto ret; } | |
3226 | t3 = (t2<ZERO) ? -t2 : t2; | |
3227 | t4 = fi*ua17.d+t3*ub17.d; | |
3228 | - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } | |
3229 | + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } | |
3230 | ||
3231 | /* Second stage */ | |
3232 | ffi = xfg[i][3].d; | |
3233 | @@ -365,12 +378,13 @@ double tan(double x) { | |
3234 | if (n) { | |
3235 | /* -cot */ | |
3236 | DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3237 | - if ((y=c3+(cc3-u20.d*c3))==c3+(cc3+u20.d*c3)) return (-sy*y); } | |
3238 | + if ((y=c3+(cc3-u20.d*c3))==c3+(cc3+u20.d*c3)) { retval = (-sy*y); goto ret; } } | |
3239 | else { | |
3240 | /* tan */ | |
3241 | DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3242 | - if ((y=c3+(cc3-u19.d*c3))==c3+(cc3+u19.d*c3)) return (sy*y); } | |
3243 | - return tanMp(x); | |
3244 | + if ((y=c3+(cc3-u19.d*c3))==c3+(cc3+u19.d*c3)) { retval = (sy*y); goto ret; } } | |
3245 | + retval = tanMp(x); | |
3246 | + goto ret; | |
3247 | } | |
3248 | ||
3249 | /* (---) The case 1e8 < abs(x) < 2**1024 */ | |
3250 | @@ -381,7 +395,7 @@ double tan(double x) { | |
3251 | else {ya= a; yya= da; sy= ONE;} | |
3252 | ||
3253 | /* (+++) The case 1e8 < abs(x) < 2**1024, abs(y) <= 1e-7 */ | |
3254 | - if (ya<=gy1.d) return tanMp(x); | |
3255 | + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } | |
3256 | ||
3257 | /* (X) The case 1e8 < abs(x) < 2**1024, 1e-7 < abs(y) <= 0.0608 */ | |
3258 | if (ya<=gy2.d) { | |
3259 | @@ -391,10 +405,10 @@ double tan(double x) { | |
3260 | /* First stage -cot */ | |
3261 | EADD(a,t2,b,db) | |
3262 | DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3263 | - if ((y=c+(dc-u22.d*c))==c+(dc+u22.d*c)) return (-y); } | |
3264 | + if ((y=c+(dc-u22.d*c))==c+(dc+u22.d*c)) { retval = (-y); goto ret; } } | |
3265 | else { | |
3266 | /* First stage tan */ | |
3267 | - if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) return y; } | |
3268 | + if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) { retval = y; goto ret; } } | |
3269 | ||
3270 | /* Second stage */ | |
3271 | /* Reduction by algorithm iv */ | |
3272 | @@ -423,11 +437,12 @@ double tan(double x) { | |
3273 | if (n) { | |
3274 | /* Second stage -cot */ | |
3275 | DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3276 | - if ((y=c2+(cc2-u24.d*c2)) == c2+(cc2+u24.d*c2)) return (-y); } | |
3277 | + if ((y=c2+(cc2-u24.d*c2)) == c2+(cc2+u24.d*c2)) { retval = (-y); goto ret; } } | |
3278 | else { | |
3279 | /* Second stage tan */ | |
3280 | - if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) return y; } | |
3281 | - return tanMp(x); | |
3282 | + if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) { retval = y; goto ret; } } | |
3283 | + retval = tanMp(x); | |
3284 | + goto ret; | |
3285 | } | |
3286 | ||
3287 | /* (XI) The case 1e8 < abs(x) < 2**1024, 0.0608 < abs(y) <= 0.787 */ | |
3288 | @@ -440,17 +455,17 @@ double tan(double x) { | |
3289 | if (n) { | |
3290 | /* -cot */ | |
3291 | t2 = pz*(fi+gi)/(fi+pz); | |
3292 | - if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) return (-sy*y); | |
3293 | + if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) { retval = (-sy*y); goto ret; } | |
3294 | t3 = (t2<ZERO) ? -t2 : t2; | |
3295 | t4 = gi*ua26.d+t3*ub26.d; | |
3296 | - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } | |
3297 | + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } | |
3298 | else { | |
3299 | /* tan */ | |
3300 | t2 = pz*(gi+fi)/(gi-pz); | |
3301 | - if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) return (sy*y); | |
3302 | + if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) { retval = (sy*y); goto ret; } | |
3303 | t3 = (t2<ZERO) ? -t2 : t2; | |
3304 | t4 = fi*ua25.d+t3*ub25.d; | |
3305 | - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } | |
3306 | + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } | |
3307 | ||
3308 | /* Second stage */ | |
3309 | ffi = xfg[i][3].d; | |
3310 | @@ -471,15 +486,19 @@ double tan(double x) { | |
3311 | if (n) { | |
3312 | /* -cot */ | |
3313 | DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3314 | - if ((y=c3+(cc3-u28.d*c3))==c3+(cc3+u28.d*c3)) return (-sy*y); } | |
3315 | + if ((y=c3+(cc3-u28.d*c3))==c3+(cc3+u28.d*c3)) { retval = (-sy*y); goto ret; } } | |
3316 | else { | |
3317 | /* tan */ | |
3318 | DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) | |
3319 | - if ((y=c3+(cc3-u27.d*c3))==c3+(cc3+u27.d*c3)) return (sy*y); } | |
3320 | - return tanMp(x); | |
3321 | + if ((y=c3+(cc3-u27.d*c3))==c3+(cc3+u27.d*c3)) { retval = (sy*y); goto ret; } } | |
3322 | + retval = tanMp(x); | |
3323 | + goto ret; | |
3324 | + | |
3325 | + ret: | |
3326 | + libc_feupdateenv (&env); | |
3327 | + return retval; | |
3328 | } | |
3329 | ||
3330 | - | |
3331 | /* multiple precision stage */ | |
3332 | /* Convert x to multi precision number,compute tan(x) by mptan() routine */ | |
3333 | /* and converts result back to double */ | |
3334 | diff -Nrup a/sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c b/sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c | |
3335 | --- a/sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c 2010-05-04 05:27:23.000000000 -0600 | |
3336 | +++ b/sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c 2012-08-06 09:54:00.828929666 -0600 | |
3337 | @@ -24,22 +24,14 @@ | |
3338 | #include "math.h" | |
3339 | #include "math_private.h" | |
3340 | ||
3341 | -#ifdef __STDC__ | |
3342 | static const double | |
3343 | -#else | |
3344 | -static double | |
3345 | -#endif | |
3346 | TWO52[2]={ | |
3347 | 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ | |
3348 | -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */ | |
3349 | }; | |
3350 | ||
3351 | -#ifdef __STDC__ | |
3352 | - double __nearbyint(double x) | |
3353 | -#else | |
3354 | - double __nearbyint(x) | |
3355 | - double x; | |
3356 | -#endif | |
3357 | +double | |
3358 | +__nearbyint(double x) | |
3359 | { | |
3360 | fenv_t env; | |
3361 | int64_t i0,sx; | |
3362 | @@ -47,20 +39,19 @@ TWO52[2]={ | |
3363 | EXTRACT_WORDS64(i0,x); | |
3364 | sx = (i0>>63)&1; | |
3365 | j0 = ((i0>>52)&0x7ff)-0x3ff; | |
3366 | - if(j0<52) { | |
3367 | + if(__builtin_expect(j0<52, 1)) { | |
3368 | if(j0<0) { | |
3369 | if((i0&UINT64_C(0x7fffffffffffffff))==0) return x; | |
3370 | uint64_t i = i0 & UINT64_C(0xfffffffffffff); | |
3371 | i0 &= UINT64_C(0xfffe000000000000); | |
3372 | i0 |= (((i|-i) >> 12) & UINT64_C(0x8000000000000)); | |
3373 | INSERT_WORDS64(x,i0); | |
3374 | - feholdexcept (&env); | |
3375 | + libc_feholdexcept (&env); | |
3376 | double w = TWO52[sx]+x; | |
3377 | double t = w-TWO52[sx]; | |
3378 | - fesetenv (&env); | |
3379 | - EXTRACT_WORDS64(i0,t); | |
3380 | - INSERT_WORDS64(t,(i0&UINT64_C(0x7fffffffffffffff))|(sx<<63)); | |
3381 | - return t; | |
3382 | + math_opt_barrier(t); | |
3383 | + libc_fesetenv (&env); | |
3384 | + return copysign(t, x); | |
3385 | } else { | |
3386 | uint64_t i = UINT64_C(0x000fffffffffffff)>>j0; | |
3387 | if((i0&i)==0) return x; /* x is integral */ | |
3388 | @@ -73,10 +64,11 @@ TWO52[2]={ | |
3389 | else return x; /* x is integral */ | |
3390 | } | |
3391 | INSERT_WORDS64(x,i0); | |
3392 | - feholdexcept (&env); | |
3393 | + libc_feholdexcept (&env); | |
3394 | double w = TWO52[sx]+x; | |
3395 | double t = w-TWO52[sx]; | |
3396 | - fesetenv (&env); | |
3397 | + math_opt_barrier (t); | |
3398 | + libc_fesetenv (&env); | |
3399 | return t; | |
3400 | } | |
3401 | weak_alias (__nearbyint, nearbyint) | |
3402 | diff -Nrup a/sysdeps/ieee754/flt-32/e_exp2f.c b/sysdeps/ieee754/flt-32/e_exp2f.c | |
3403 | --- a/sysdeps/ieee754/flt-32/e_exp2f.c 2010-05-04 05:27:23.000000000 -0600 | |
3404 | +++ b/sysdeps/ieee754/flt-32/e_exp2f.c 2012-08-06 09:54:00.829929661 -0600 | |
3405 | @@ -56,11 +56,7 @@ __ieee754_exp2f (float x) | |
3406 | union ieee754_float ex2_u, scale_u; | |
3407 | fenv_t oldenv; | |
3408 | ||
3409 | - feholdexcept (&oldenv); | |
3410 | -#ifdef FE_TONEAREST | |
3411 | - /* If we don't have this, it's too bad. */ | |
3412 | - fesetround (FE_TONEAREST); | |
3413 | -#endif | |
3414 | + libc_feholdexcept_setroundf (&oldenv, FE_TONEAREST); | |
3415 | ||
3416 | /* 1. Argument reduction. | |
3417 | Choose integers ex, -128 <= t < 128, and some real | |
3418 | @@ -103,7 +99,7 @@ __ieee754_exp2f (float x) | |
3419 | x22 = (.24022656679f * x + .69314736128f) * ex2_u.f; | |
3420 | ||
3421 | /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */ | |
3422 | - fesetenv (&oldenv); | |
3423 | + libc_fesetenv (&oldenv); | |
3424 | ||
3425 | result = x22 * x + ex2_u.f; | |
3426 | ||
3427 | diff -Nrup a/sysdeps/ieee754/flt-32/e_expf.c b/sysdeps/ieee754/flt-32/e_expf.c | |
3428 | --- a/sysdeps/ieee754/flt-32/e_expf.c 2010-05-04 05:27:23.000000000 -0600 | |
3429 | +++ b/sysdeps/ieee754/flt-32/e_expf.c 2012-08-06 09:54:00.829929661 -0600 | |
3430 | @@ -47,9 +47,6 @@ | |
3431 | to perform an 'accurate table method' expf, because of the range reduction | |
3432 | overhead (compare exp2f). | |
3433 | */ | |
3434 | -#ifndef _GNU_SOURCE | |
3435 | -#define _GNU_SOURCE | |
3436 | -#endif | |
3437 | #include <float.h> | |
3438 | #include <ieee754.h> | |
3439 | #include <math.h> | |
3440 | @@ -60,8 +57,8 @@ | |
3441 | extern const float __exp_deltatable[178]; | |
3442 | extern const double __exp_atable[355] /* __attribute__((mode(DF))) */; | |
3443 | ||
3444 | -static const volatile float TWOM100 = 7.88860905e-31; | |
3445 | -static const volatile float TWO127 = 1.7014118346e+38; | |
3446 | +static const float TWOM100 = 7.88860905e-31; | |
3447 | +static const float TWO127 = 1.7014118346e+38; | |
3448 | ||
3449 | float | |
3450 | __ieee754_expf (float x) | |
3451 | @@ -86,10 +83,7 @@ __ieee754_expf (float x) | |
3452 | union ieee754_double ex2_u; | |
3453 | fenv_t oldenv; | |
3454 | ||
3455 | - feholdexcept (&oldenv); | |
3456 | -#ifdef FE_TONEAREST | |
3457 | - fesetround (FE_TONEAREST); | |
3458 | -#endif | |
3459 | + libc_feholdexcept_setroundf (&oldenv, FE_TONEAREST); | |
3460 | ||
3461 | /* Calculate n. */ | |
3462 | n = x * M_1_LN2 + THREEp22; | |
3463 | @@ -119,7 +113,7 @@ __ieee754_expf (float x) | |
3464 | x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta; | |
3465 | ||
3466 | /* Return result. */ | |
3467 | - fesetenv (&oldenv); | |
3468 | + libc_fesetenvf (&oldenv); | |
3469 | ||
3470 | result = x22 * ex2_u.d + ex2_u.d; | |
3471 | return (float) result; | |
3472 | diff -Nrup a/sysdeps/ieee754/flt-32/s_nearbyintf.c b/sysdeps/ieee754/flt-32/s_nearbyintf.c | |
3473 | --- a/sysdeps/ieee754/flt-32/s_nearbyintf.c 2010-05-04 05:27:23.000000000 -0600 | |
3474 | +++ b/sysdeps/ieee754/flt-32/s_nearbyintf.c 2012-08-06 09:54:00.891929402 -0600 | |
3475 | @@ -19,22 +19,14 @@ | |
3476 | #include "math.h" | |
3477 | #include "math_private.h" | |
3478 | ||
3479 | -#ifdef __STDC__ | |
3480 | static const float | |
3481 | -#else | |
3482 | -static float | |
3483 | -#endif | |
3484 | TWO23[2]={ | |
3485 | 8.3886080000e+06, /* 0x4b000000 */ | |
3486 | -8.3886080000e+06, /* 0xcb000000 */ | |
3487 | }; | |
3488 | ||
3489 | -#ifdef __STDC__ | |
3490 | - float __nearbyintf(float x) | |
3491 | -#else | |
3492 | - float __nearbyintf(x) | |
3493 | - float x; | |
3494 | -#endif | |
3495 | +float | |
3496 | +__nearbyintf(float x) | |
3497 | { | |
3498 | fenv_t env; | |
3499 | int32_t i0,j0,sx; | |
3500 | @@ -50,13 +42,13 @@ TWO23[2]={ | |
3501 | i0 &= 0xfff00000; | |
3502 | i0 |= ((i1|-i1)>>9)&0x400000; | |
3503 | SET_FLOAT_WORD(x,i0); | |
3504 | - feholdexcept (&env); | |
3505 | - w = TWO23[sx]+x; | |
3506 | - t = w-TWO23[sx]; | |
3507 | - fesetenv (&env); | |
3508 | + libc_feholdexceptf (&env); | |
3509 | + w = TWO23[sx]+x; | |
3510 | + t = w-TWO23[sx]; | |
3511 | + libc_fesetenvf (&env); | |
3512 | GET_FLOAT_WORD(i0,t); | |
3513 | SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31)); | |
3514 | - return t; | |
3515 | + return t; | |
3516 | } else { | |
3517 | i = (0x007fffff)>>j0; | |
3518 | if((i0&i)==0) return x; /* x is integral */ | |
3519 | @@ -64,14 +56,14 @@ TWO23[2]={ | |
3520 | if((i0&i)!=0) i0 = (i0&(~i))|((0x100000)>>j0); | |
3521 | } | |
3522 | } else { | |
3523 | - if(j0==0x80) return x+x; /* inf or NaN */ | |
3524 | + if(__builtin_expect(j0==0x80, 0)) return x+x; /* inf or NaN */ | |
3525 | else return x; /* x is integral */ | |
3526 | } | |
3527 | SET_FLOAT_WORD(x,i0); | |
3528 | - feholdexcept (&env); | |
3529 | + libc_feholdexceptf (&env); | |
3530 | w = TWO23[sx]+x; | |
3531 | t = w-TWO23[sx]; | |
3532 | - fesetenv (&env); | |
3533 | + libc_fesetenvf (&env); | |
3534 | return t; | |
3535 | } | |
3536 | weak_alias (__nearbyintf, nearbyintf) | |
3537 | diff -Nrup a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps | |
3538 | --- a/sysdeps/powerpc/fpu/libm-test-ulps 2010-05-04 05:27:23.000000000 -0600 | |
3539 | +++ b/sysdeps/powerpc/fpu/libm-test-ulps 2012-08-06 10:03:24.424569052 -0600 | |
3540 | @@ -37,16 +37,9 @@ ildouble: 1 | |
3541 | ldouble: 1 | |
3542 | ||
3543 | # cacosh | |
3544 | -Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
3545 | -double: 1 | |
3546 | -float: 7 | |
3547 | -idouble: 1 | |
3548 | -ifloat: 7 | |
3549 | Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
3550 | -double: 1 | |
3551 | -float: 3 | |
3552 | -idouble: 1 | |
3553 | -ifloat: 3 | |
3554 | +float: 1 | |
3555 | +ifloat: 1 | |
3556 | ||
3557 | # casin | |
3558 | Test "Real part of: casin (-2 - 3 i) == -0.57065278432109940071028387968566963 - 1.9833870299165354323470769028940395 i": | |
3559 | @@ -84,8 +77,6 @@ ifloat: 1 | |
3560 | ||
3561 | # catan | |
3562 | Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
3563 | -float: 3 | |
3564 | -ifloat: 3 | |
3565 | ildouble: 1 | |
3566 | ldouble: 1 | |
3567 | Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
3568 | @@ -93,23 +84,14 @@ double: 1 | |
3569 | float: 1 | |
3570 | idouble: 1 | |
3571 | ifloat: 1 | |
3572 | -Test "Real part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": | |
3573 | -float: 4 | |
3574 | -ifloat: 4 | |
3575 | ||
3576 | # catanh | |
3577 | Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
3578 | double: 4 | |
3579 | idouble: 4 | |
3580 | -Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
3581 | -float: 4 | |
3582 | -ifloat: 4 | |
3583 | Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
3584 | double: 1 | |
3585 | idouble: 1 | |
3586 | -Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
3587 | -float: 6 | |
3588 | -ifloat: 6 | |
3589 | ||
3590 | # cbrt | |
3591 | Test "cbrt (-27.0) == -3.0": | |
3592 | @@ -167,8 +149,6 @@ ldouble: 1 | |
3593 | ||
3594 | # clog | |
3595 | Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": | |
3596 | -float: 3 | |
3597 | -ifloat: 3 | |
3598 | ildouble: 1 | |
3599 | ldouble: 1 | |
3600 | Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": | |
3601 | @@ -197,9 +177,7 @@ ildouble: 1 | |
3602 | ldouble: 1 | |
3603 | Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": | |
3604 | double: 1 | |
3605 | -float: 5 | |
3606 | idouble: 1 | |
3607 | -ifloat: 5 | |
3608 | ildouble: 1 | |
3609 | ldouble: 1 | |
3610 | Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": | |
3611 | @@ -298,23 +276,165 @@ ldouble: 1 | |
3612 | # cos | |
3613 | Test "cos (M_PI_6l * 2.0) == 0.5": | |
3614 | double: 1 | |
3615 | -float: 1 | |
3616 | idouble: 1 | |
3617 | -ifloat: 1 | |
3618 | Test "cos (M_PI_6l * 4.0) == -0.5": | |
3619 | double: 2 | |
3620 | float: 1 | |
3621 | idouble: 2 | |
3622 | ifloat: 1 | |
3623 | -Test "cos (pi/2) == 0": | |
3624 | -double: 1 | |
3625 | + | |
3626 | +# cos_downward | |
3627 | +Test "cos_downward (1) == 0.5403023058681397174009366074429766037323": | |
3628 | +float: 1 | |
3629 | +ifloat: 1 | |
3630 | +ildouble: 4 | |
3631 | +ldouble: 4 | |
3632 | +Test "cos_downward (10) == -0.8390715290764524522588639478240648345199": | |
3633 | +ildouble: 1 | |
3634 | +ldouble: 1 | |
3635 | +Test "cos_downward (2) == -0.4161468365471423869975682295007621897660": | |
3636 | +float: 1 | |
3637 | +ifloat: 1 | |
3638 | +Test "cos_downward (3) == -0.9899924966004454572715727947312613023937": | |
3639 | +float: 1 | |
3640 | +ifloat: 1 | |
3641 | +Test "cos_downward (4) == -0.6536436208636119146391681830977503814241": | |
3642 | +float: 1 | |
3643 | +ifloat: 1 | |
3644 | +Test "cos_downward (5) == 0.2836621854632262644666391715135573083344": | |
3645 | +float: 1 | |
3646 | +ifloat: 1 | |
3647 | +Test "cos_downward (6) == 0.9601702866503660205456522979229244054519": | |
3648 | +ildouble: 1 | |
3649 | +ldouble: 1 | |
3650 | +Test "cos_downward (7) == 0.7539022543433046381411975217191820122183": | |
3651 | +float: 1 | |
3652 | +ifloat: 1 | |
3653 | +Test "cos_downward (8) == -0.1455000338086135258688413818311946826093": | |
3654 | +float: 1 | |
3655 | +ifloat: 1 | |
3656 | +ildouble: 2 | |
3657 | +ldouble: 2 | |
3658 | +Test "cos_downward (9) == -0.9111302618846769883682947111811653112463": | |
3659 | +ildouble: 1 | |
3660 | +ldouble: 1 | |
3661 | + | |
3662 | +# cos_tonearest | |
3663 | +Test "cos_tonearest (7) == 0.7539022543433046381411975217191820122183": | |
3664 | +float: 1 | |
3665 | +ifloat: 1 | |
3666 | + | |
3667 | +# cos_towardzero | |
3668 | +Test "cos_towardzero (1) == 0.5403023058681397174009366074429766037323": | |
3669 | +ildouble: 2 | |
3670 | +ldouble: 2 | |
3671 | +Test "cos_towardzero (10) == -0.8390715290764524522588639478240648345199": | |
3672 | +ildouble: 1 | |
3673 | +ldouble: 1 | |
3674 | +Test "cos_towardzero (2) == -0.4161468365471423869975682295007621897660": | |
3675 | +float: 1 | |
3676 | +ifloat: 1 | |
3677 | +Test "cos_towardzero (3) == -0.9899924966004454572715727947312613023937": | |
3678 | +float: 1 | |
3679 | +ifloat: 1 | |
3680 | +Test "cos_towardzero (4) == -0.6536436208636119146391681830977503814241": | |
3681 | +ildouble: 1 | |
3682 | +ldouble: 1 | |
3683 | +Test "cos_towardzero (5) == 0.2836621854632262644666391715135573083344": | |
3684 | +float: 1 | |
3685 | +ifloat: 1 | |
3686 | +Test "cos_towardzero (7) == 0.7539022543433046381411975217191820122183": | |
3687 | +float: 1 | |
3688 | +ifloat: 1 | |
3689 | +Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093": | |
3690 | float: 1 | |
3691 | -idouble: 1 | |
3692 | ifloat: 1 | |
3693 | -Test "cos (16.0) == -0.9576594803233846418996372326511034717803" | |
3694 | ildouble: 2 | |
3695 | ldouble: 2 | |
3696 | ||
3697 | +# cos_upward | |
3698 | +Test "cos_upward (1) == 0.5403023058681397174009366074429766037323": | |
3699 | +ildouble: 2 | |
3700 | +ldouble: 2 | |
3701 | +Test "cos_upward (10) == -0.8390715290764524522588639478240648345199": | |
3702 | +float: 1 | |
3703 | +ifloat: 1 | |
3704 | +ildouble: 1 | |
3705 | +ldouble: 1 | |
3706 | +Test "cos_upward (4) == -0.6536436208636119146391681830977503814241": | |
3707 | +ildouble: 1 | |
3708 | +ldouble: 1 | |
3709 | +Test "cos_upward (5) == 0.2836621854632262644666391715135573083344": | |
3710 | +ildouble: 1 | |
3711 | +ldouble: 1 | |
3712 | +Test "cos_upward (6) == 0.9601702866503660205456522979229244054519": | |
3713 | +float: 1 | |
3714 | +ifloat: 1 | |
3715 | +Test "cos_upward (7) == 0.7539022543433046381411975217191820122183": | |
3716 | +float: 1 | |
3717 | +ifloat: 1 | |
3718 | +ildouble: 1 | |
3719 | +ldouble: 1 | |
3720 | +Test "cos_upward (9) == -0.9111302618846769883682947111811653112463": | |
3721 | +float: 2 | |
3722 | +ifloat: 2 | |
3723 | + | |
3724 | +# cosh_downward | |
3725 | +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": | |
3726 | +float: 1 | |
3727 | +ifloat: 1 | |
3728 | +ildouble: 5269156250720 | |
3729 | +ldouble: 5269156250720 | |
3730 | +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": | |
3731 | +float: 1 | |
3732 | +ifloat: 1 | |
3733 | +ildouble: 484603564240 | |
3734 | +ldouble: 484603564240 | |
3735 | +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": | |
3736 | +float: 1 | |
3737 | +ifloat: 1 | |
3738 | +ildouble: 89137844202 | |
3739 | +ldouble: 89137844202 | |
3740 | + | |
3741 | +# cosh_tonearest | |
3742 | +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": | |
3743 | +ildouble: 5269156250719 | |
3744 | +ldouble: 5269156250719 | |
3745 | +Test "cosh_tonearest (23) == 4872401723.124451300068625740569997090344": | |
3746 | +ildouble: 484603564240 | |
3747 | +ldouble: 484603564240 | |
3748 | +Test "cosh_tonearest (24) == 13244561064.92173614708845674912733665919": | |
3749 | +ildouble: 89137844202 | |
3750 | +ldouble: 89137844202 | |
3751 | + | |
3752 | +# cosh_towardzero | |
3753 | +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": | |
3754 | +float: 1 | |
3755 | +ifloat: 1 | |
3756 | +ildouble: 5269156250720 | |
3757 | +ldouble: 5269156250720 | |
3758 | +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": | |
3759 | +float: 1 | |
3760 | +ifloat: 1 | |
3761 | +ildouble: 484603564240 | |
3762 | +ldouble: 484603564240 | |
3763 | +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": | |
3764 | +float: 1 | |
3765 | +ifloat: 1 | |
3766 | +ildouble: 89137844202 | |
3767 | +ldouble: 89137844202 | |
3768 | + | |
3769 | +# cosh_upward | |
3770 | +Test "cosh_upward (22) == 1792456423.065795780980053377632656584997": | |
3771 | +ildouble: 5269156250719 | |
3772 | +ldouble: 5269156250719 | |
3773 | +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": | |
3774 | +ildouble: 484603564240 | |
3775 | +ldouble: 484603564240 | |
3776 | +Test "cosh_upward (24) == 13244561064.92173614708845674912733665919": | |
3777 | +ildouble: 89137844200 | |
3778 | +ldouble: 89137844200 | |
3779 | + | |
3780 | # cpow | |
3781 | Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": | |
3782 | float: 1 | |
3783 | @@ -386,12 +506,6 @@ float: 1 | |
3784 | ifloat: 1 | |
3785 | ||
3786 | # ctan | |
3787 | -Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
3788 | -double: 1 | |
3789 | -idouble: 1 | |
3790 | -Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
3791 | -ildouble: 1 | |
3792 | -ldouble: 1 | |
3793 | Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": | |
3794 | double: 1 | |
3795 | idouble: 1 | |
3796 | @@ -463,6 +577,33 @@ Test "exp2 (10) == 1024": | |
3797 | ildouble: 2 | |
3798 | ldouble: 2 | |
3799 | ||
3800 | +# exp_downward | |
3801 | +Test "exp_downward (2) == e^2": | |
3802 | +float: 1 | |
3803 | +ifloat: 1 | |
3804 | +Test "exp_downward (3) == e^3": | |
3805 | +float: 1 | |
3806 | +ifloat: 1 | |
3807 | +ildouble: 1 | |
3808 | +ldouble: 1 | |
3809 | + | |
3810 | +# exp_towardzero | |
3811 | +Test "exp_towardzero (2) == e^2": | |
3812 | +float: 1 | |
3813 | +ifloat: 1 | |
3814 | +Test "exp_towardzero (3) == e^3": | |
3815 | +float: 1 | |
3816 | +ifloat: 1 | |
3817 | +ildouble: 1 | |
3818 | +ldouble: 1 | |
3819 | + | |
3820 | +# exp_upward | |
3821 | +Test "exp_upward (1) == e": | |
3822 | +float: 1 | |
3823 | +ifloat: 1 | |
3824 | +ildouble: 1 | |
3825 | +ldouble: 1 | |
3826 | + | |
3827 | # expm1 | |
3828 | Test "expm1 (0.75) == 1.11700001661267466854536981983709561": | |
3829 | double: 1 | |
3830 | @@ -505,40 +646,27 @@ ifloat: 1 | |
3831 | # j0 | |
3832 | Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": | |
3833 | double: 1 | |
3834 | -float: 2 | |
3835 | +float: 1 | |
3836 | idouble: 1 | |
3837 | -ifloat: 2 | |
3838 | -ildouble: 1 | |
3839 | -ldouble: 1 | |
3840 | +ifloat: 1 | |
3841 | Test "j0 (10.0) == -0.245935764451348335197760862485328754": | |
3842 | -double: 3 | |
3843 | +double: 2 | |
3844 | float: 1 | |
3845 | -idouble: 3 | |
3846 | +idouble: 2 | |
3847 | ifloat: 1 | |
3848 | -ildouble: 1 | |
3849 | -ldouble: 1 | |
3850 | -Test "j0 (2.0) == 0.223890779141235668051827454649948626": | |
3851 | -float: 2 | |
3852 | -ifloat: 2 | |
3853 | Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": | |
3854 | double: 1 | |
3855 | -float: 2 | |
3856 | +float: 1 | |
3857 | idouble: 1 | |
3858 | -ifloat: 2 | |
3859 | -ildouble: 1 | |
3860 | -ldouble: 1 | |
3861 | +ifloat: 1 | |
3862 | Test "j0 (8.0) == 0.171650807137553906090869407851972001": | |
3863 | float: 1 | |
3864 | ifloat: 1 | |
3865 | -ildouble: 1 | |
3866 | -ldouble: 1 | |
3867 | ||
3868 | # j1 | |
3869 | Test "j1 (10.0) == 0.0434727461688614366697487680258592883": | |
3870 | float: 2 | |
3871 | ifloat: 2 | |
3872 | -ildouble: 1 | |
3873 | -ldouble: 1 | |
3874 | Test "j1 (2.0) == 0.576724807756873387202448242269137087": | |
3875 | double: 1 | |
3876 | idouble: 1 | |
3877 | @@ -551,38 +679,25 @@ ldouble: 1 | |
3878 | # jn | |
3879 | Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": | |
3880 | double: 1 | |
3881 | -float: 2 | |
3882 | +float: 1 | |
3883 | idouble: 1 | |
3884 | -ifloat: 2 | |
3885 | -ildouble: 1 | |
3886 | -ldouble: 1 | |
3887 | +ifloat: 1 | |
3888 | Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": | |
3889 | -double: 3 | |
3890 | +double: 2 | |
3891 | float: 1 | |
3892 | -idouble: 3 | |
3893 | +idouble: 2 | |
3894 | ifloat: 1 | |
3895 | -ildouble: 1 | |
3896 | -ldouble: 1 | |
3897 | -Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": | |
3898 | -float: 2 | |
3899 | -ifloat: 2 | |
3900 | Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": | |
3901 | double: 1 | |
3902 | -float: 2 | |
3903 | +float: 1 | |
3904 | idouble: 1 | |
3905 | -ifloat: 2 | |
3906 | -ildouble: 1 | |
3907 | -ldouble: 1 | |
3908 | +ifloat: 1 | |
3909 | Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": | |
3910 | float: 1 | |
3911 | ifloat: 1 | |
3912 | -ildouble: 1 | |
3913 | -ldouble: 1 | |
3914 | Test "jn (1, 10.0) == 0.0434727461688614366697487680258592883": | |
3915 | float: 2 | |
3916 | ifloat: 2 | |
3917 | -ildouble: 1 | |
3918 | -ldouble: 1 | |
3919 | Test "jn (1, 2.0) == 0.576724807756873387202448242269137087": | |
3920 | double: 1 | |
3921 | idouble: 1 | |
3922 | @@ -615,11 +730,8 @@ ifloat: 1 | |
3923 | ildouble: 4 | |
3924 | ldouble: 4 | |
3925 | Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": | |
3926 | -float: 4 | |
3927 | -ifloat: 4 | |
3928 | -Test "jn (3, -1.0) == -0.0195633539826684059189053216217515083": | |
3929 | -ildouble: 1 | |
3930 | -ldouble: 1 | |
3931 | +float: 3 | |
3932 | +ifloat: 3 | |
3933 | Test "jn (3, 0.125) == 0.406503832554912875023029337653442868e-4": | |
3934 | double: 1 | |
3935 | float: 1 | |
3936 | @@ -628,21 +740,18 @@ ifloat: 1 | |
3937 | Test "jn (3, 0.75) == 0.848438342327410884392755236884386804e-2": | |
3938 | double: 1 | |
3939 | idouble: 1 | |
3940 | -Test "jn (3, 1.0) == 0.0195633539826684059189053216217515083": | |
3941 | -ildouble: 1 | |
3942 | -ldouble: 1 | |
3943 | Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": | |
3944 | double: 3 | |
3945 | -float: 2 | |
3946 | +float: 1 | |
3947 | idouble: 3 | |
3948 | -ifloat: 2 | |
3949 | +ifloat: 1 | |
3950 | ildouble: 2 | |
3951 | ldouble: 2 | |
3952 | Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": | |
3953 | double: 1 | |
3954 | -float: 2 | |
3955 | +float: 1 | |
3956 | idouble: 1 | |
3957 | -ifloat: 2 | |
3958 | +ifloat: 1 | |
3959 | ildouble: 2 | |
3960 | ldouble: 2 | |
3961 | ||
3962 | @@ -675,115 +784,350 @@ Test "log1p (-0.25) == -0.28768207245178 | |
3963 | float: 1 | |
3964 | ifloat: 1 | |
3965 | ||
3966 | -# log2 | |
3967 | -Test "log2 (e) == M_LOG2El": | |
3968 | +# pow_downward | |
3969 | +Test "pow_downward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
3970 | ildouble: 1 | |
3971 | ldouble: 1 | |
3972 | - | |
3973 | -# sin | |
3974 | -Test "sin (16.0) == -0.2879033166650652947844562482186175296207" | |
3975 | -ildouble: 2 | |
3976 | -ldouble: 2 | |
3977 | - | |
3978 | -# sincos | |
3979 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
3980 | -double: 1 | |
3981 | -float: 1 | |
3982 | -idouble: 1 | |
3983 | -ifloat: 1 | |
3984 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
3985 | -double: 1 | |
3986 | +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
3987 | float: 1 | |
3988 | -idouble: 1 | |
3989 | ifloat: 1 | |
3990 | -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": | |
3991 | -double: 1 | |
3992 | + | |
3993 | +# pow_towardzero | |
3994 | +Test "pow_towardzero (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
3995 | +ildouble: 1 | |
3996 | +ldouble: 1 | |
3997 | +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
3998 | float: 1 | |
3999 | -idouble: 1 | |
4000 | ifloat: 1 | |
4001 | -Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
4002 | + | |
4003 | +# pow_upward | |
4004 | +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
4005 | float: 1 | |
4006 | ifloat: 1 | |
4007 | - | |
4008 | -# sinh | |
4009 | -Test "sinh (0.75) == 0.822316731935829980703661634446913849": | |
4010 | +Test "pow_upward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
4011 | ildouble: 1 | |
4012 | ldouble: 1 | |
4013 | ||
4014 | -# tan | |
4015 | -Test "tan (pi/4) == 1": | |
4016 | -double: 1 | |
4017 | -idouble: 1 | |
4018 | +# sin_downward | |
4019 | +Test "sin_downward (1) == 0.8414709848078965066525023216302989996226": | |
4020 | +ildouble: 4 | |
4021 | +ldouble: 4 | |
4022 | +Test "sin_downward (10) == -0.5440211108893698134047476618513772816836": | |
4023 | +float: 1 | |
4024 | +ifloat: 1 | |
4025 | +Test "sin_downward (2) == 0.9092974268256816953960198659117448427023": | |
4026 | ildouble: 1 | |
4027 | ldouble: 1 | |
4028 | - | |
4029 | -# tanh | |
4030 | -Test "tanh (-0.75) == -0.635148952387287319214434357312496495": | |
4031 | +Test "sin_downward (3) == 0.1411200080598672221007448028081102798469": | |
4032 | +float: 1 | |
4033 | +ifloat: 1 | |
4034 | +ildouble: 2 | |
4035 | +ldouble: 2 | |
4036 | +Test "sin_downward (4) == -0.7568024953079282513726390945118290941359": | |
4037 | ildouble: 1 | |
4038 | ldouble: 1 | |
4039 | -Test "tanh (0.75) == 0.635148952387287319214434357312496495": | |
4040 | +Test "sin_downward (5) == -0.9589242746631384688931544061559939733525": | |
4041 | +float: 1 | |
4042 | +ifloat: 1 | |
4043 | +Test "sin_downward (6) == -0.2794154981989258728115554466118947596280": | |
4044 | +float: 1 | |
4045 | +ifloat: 1 | |
4046 | +ildouble: 2 | |
4047 | +ldouble: 2 | |
4048 | +Test "sin_downward (8) == 0.9893582466233817778081235982452886721164": | |
4049 | ildouble: 1 | |
4050 | ldouble: 1 | |
4051 | ||
4052 | -# tgamma | |
4053 | -Test "tgamma (-0.5) == -2 sqrt (pi)": | |
4054 | -double: 1 | |
4055 | +# sin_tonearest | |
4056 | +Test "sin_tonearest (1) == 0.8414709848078965066525023216302989996226": | |
4057 | float: 1 | |
4058 | -idouble: 1 | |
4059 | ifloat: 1 | |
4060 | -Test "tgamma (0.5) == sqrt (pi)": | |
4061 | + | |
4062 | +# sin_towardzero | |
4063 | +Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": | |
4064 | float: 1 | |
4065 | ifloat: 1 | |
4066 | -Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
4067 | -double: 1 | |
4068 | +ildouble: 2 | |
4069 | +ldouble: 2 | |
4070 | +Test "sin_towardzero (10) == -0.5440211108893698134047476618513772816836": | |
4071 | float: 1 | |
4072 | -idouble: 1 | |
4073 | ifloat: 1 | |
4074 | - | |
4075 | -# y0 | |
4076 | -Test "y0 (0.125) == -1.38968062514384052915582277745018693": | |
4077 | +Test "sin_towardzero (2) == 0.9092974268256816953960198659117448427023": | |
4078 | ildouble: 1 | |
4079 | ldouble: 1 | |
4080 | -Test "y0 (0.75) == -0.137172769385772397522814379396581855": | |
4081 | +Test "sin_towardzero (3) == 0.1411200080598672221007448028081102798469": | |
4082 | ildouble: 1 | |
4083 | ldouble: 1 | |
4084 | -Test "y0 (1.0) == 0.0882569642156769579829267660235151628": | |
4085 | -double: 2 | |
4086 | +Test "sin_towardzero (4) == -0.7568024953079282513726390945118290941359": | |
4087 | +float: 1 | |
4088 | +ifloat: 1 | |
4089 | +Test "sin_towardzero (5) == -0.9589242746631384688931544061559939733525": | |
4090 | float: 1 | |
4091 | -idouble: 2 | |
4092 | ifloat: 1 | |
4093 | +Test "sin_towardzero (8) == 0.9893582466233817778081235982452886721164": | |
4094 | ildouble: 1 | |
4095 | ldouble: 1 | |
4096 | -Test "y0 (1.5) == 0.382448923797758843955068554978089862": | |
4097 | -double: 2 | |
4098 | +Test "sin_towardzero (9) == 0.4121184852417565697562725663524351793439": | |
4099 | float: 1 | |
4100 | -idouble: 2 | |
4101 | ifloat: 1 | |
4102 | -Test "y0 (10.0) == 0.0556711672835993914244598774101900481": | |
4103 | +ildouble: 1 | |
4104 | +ldouble: 1 | |
4105 | + | |
4106 | +# sin_upward | |
4107 | +Test "sin_upward (1) == 0.8414709848078965066525023216302989996226": | |
4108 | +float: 1 | |
4109 | +ifloat: 1 | |
4110 | +ildouble: 2 | |
4111 | +ldouble: 2 | |
4112 | +Test "sin_upward (2) == 0.9092974268256816953960198659117448427023": | |
4113 | +float: 2 | |
4114 | +ifloat: 2 | |
4115 | +Test "sin_upward (3) == 0.1411200080598672221007448028081102798469": | |
4116 | +ildouble: 1 | |
4117 | +ldouble: 1 | |
4118 | +Test "sin_upward (4) == -0.7568024953079282513726390945118290941359": | |
4119 | +float: 1 | |
4120 | +ifloat: 1 | |
4121 | +ildouble: 1 | |
4122 | +ldouble: 1 | |
4123 | +Test "sin_upward (6) == -0.2794154981989258728115554466118947596280": | |
4124 | +ildouble: 1 | |
4125 | +ldouble: 1 | |
4126 | +Test "sin_upward (9) == 0.4121184852417565697562725663524351793439": | |
4127 | +float: 1 | |
4128 | +ifloat: 1 | |
4129 | + | |
4130 | +# sincos | |
4131 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
4132 | +double: 1 | |
4133 | +idouble: 1 | |
4134 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
4135 | double: 1 | |
4136 | float: 1 | |
4137 | idouble: 1 | |
4138 | ifloat: 1 | |
4139 | +Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
4140 | +float: 1 | |
4141 | +ifloat: 1 | |
4142 | + | |
4143 | +# sinh | |
4144 | +Test "sinh (0.75) == 0.822316731935829980703661634446913849": | |
4145 | ildouble: 1 | |
4146 | ldouble: 1 | |
4147 | -Test "y0 (2.0) == 0.510375672649745119596606592727157873": | |
4148 | + | |
4149 | +# sinh_downward | |
4150 | +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": | |
4151 | +float: 1 | |
4152 | +ifloat: 1 | |
4153 | +ildouble: 5269156250718 | |
4154 | +ldouble: 5269156250718 | |
4155 | +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": | |
4156 | +float: 1 | |
4157 | +ifloat: 1 | |
4158 | +ildouble: 484603564240 | |
4159 | +ldouble: 484603564240 | |
4160 | +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": | |
4161 | +float: 1 | |
4162 | +ifloat: 1 | |
4163 | +ildouble: 89137844201 | |
4164 | +ldouble: 89137844201 | |
4165 | + | |
4166 | +# sinh_tonearest | |
4167 | +Test "sinh_tonearest (22) == 1792456423.065795780701106568345764104225": | |
4168 | +ildouble: 5269156250719 | |
4169 | +ldouble: 5269156250719 | |
4170 | +Test "sinh_tonearest (23) == 4872401723.124451299966006944252978187305": | |
4171 | +ildouble: 484603564241 | |
4172 | +ldouble: 484603564241 | |
4173 | +Test "sinh_tonearest (24) == 13244561064.92173614705070540368454568168": | |
4174 | +ildouble: 89137844201 | |
4175 | +ldouble: 89137844201 | |
4176 | + | |
4177 | +# sinh_towardzero | |
4178 | +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": | |
4179 | +float: 1 | |
4180 | +ifloat: 1 | |
4181 | +ildouble: 5269156250718 | |
4182 | +ldouble: 5269156250718 | |
4183 | +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": | |
4184 | +float: 1 | |
4185 | +ifloat: 1 | |
4186 | +ildouble: 484603564240 | |
4187 | +ldouble: 484603564240 | |
4188 | +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": | |
4189 | +float: 1 | |
4190 | +ifloat: 1 | |
4191 | +ildouble: 89137844201 | |
4192 | +ldouble: 89137844201 | |
4193 | + | |
4194 | +# sinh_upward | |
4195 | +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": | |
4196 | +ildouble: 5269156250719 | |
4197 | +ldouble: 5269156250719 | |
4198 | +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": | |
4199 | +ildouble: 484603564241 | |
4200 | +ldouble: 484603564241 | |
4201 | +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": | |
4202 | +ildouble: 89137844202 | |
4203 | +ldouble: 89137844202 | |
4204 | + | |
4205 | +# tan | |
4206 | +Test "tan (pi/4) == 1": | |
4207 | +ildouble: 1 | |
4208 | +ldouble: 1 | |
4209 | + | |
4210 | +# tan_downward | |
4211 | +Test "tan_downward (1) == 1.5574077246549022305069748074583601730873": | |
4212 | +float: 1 | |
4213 | +ifloat: 1 | |
4214 | +ildouble: 2 | |
4215 | +ldouble: 2 | |
4216 | +Test "tan_downward (10) == 0.6483608274590866712591249330098086768169": | |
4217 | +float: 1 | |
4218 | +ifloat: 1 | |
4219 | +ildouble: 2 | |
4220 | +ldouble: 2 | |
4221 | +Test "tan_downward (2) == -2.1850398632615189916433061023136825434320": | |
4222 | +float: 1 | |
4223 | +ifloat: 1 | |
4224 | +ildouble: 1 | |
4225 | +ldouble: 1 | |
4226 | +Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": | |
4227 | +float: 1 | |
4228 | +ifloat: 1 | |
4229 | +ildouble: 1 | |
4230 | +ldouble: 1 | |
4231 | +Test "tan_downward (8) == -6.7997114552203786999252627596086333648814": | |
4232 | +float: 1 | |
4233 | +ifloat: 1 | |
4234 | +Test "tan_downward (9) == -0.4523156594418098405903708757987855343087": | |
4235 | +float: 1 | |
4236 | +ifloat: 1 | |
4237 | +ildouble: 1 | |
4238 | +ldouble: 1 | |
4239 | + | |
4240 | +# tan_tonearest | |
4241 | +Test "tan_tonearest (10) == 0.6483608274590866712591249330098086768169": | |
4242 | +ildouble: 1 | |
4243 | +ldouble: 1 | |
4244 | +Test "tan_tonearest (4) == 1.1578212823495775831373424182673239231198": | |
4245 | +ildouble: 1 | |
4246 | +ldouble: 1 | |
4247 | +Test "tan_tonearest (7) == 0.8714479827243187364564508896003135663222": | |
4248 | +ildouble: 1 | |
4249 | +ldouble: 1 | |
4250 | + | |
4251 | +# tan_towardzero | |
4252 | +Test "tan_towardzero (10) == 0.6483608274590866712591249330098086768169": | |
4253 | +float: 1 | |
4254 | +ifloat: 1 | |
4255 | +ildouble: 2 | |
4256 | +ldouble: 2 | |
4257 | +Test "tan_towardzero (3) == -0.1425465430742778052956354105339134932261": | |
4258 | +float: 1 | |
4259 | +ifloat: 1 | |
4260 | +ildouble: 3 | |
4261 | +ldouble: 3 | |
4262 | +Test "tan_towardzero (4) == 1.1578212823495775831373424182673239231198": | |
4263 | +float: 1 | |
4264 | +ifloat: 1 | |
4265 | +ildouble: 1 | |
4266 | +ldouble: 1 | |
4267 | +Test "tan_towardzero (5) == -3.3805150062465856369827058794473439087096": | |
4268 | +float: 1 | |
4269 | +ifloat: 1 | |
4270 | +Test "tan_towardzero (6) == -0.2910061913847491570536995888681755428312": | |
4271 | +ildouble: 1 | |
4272 | +ldouble: 1 | |
4273 | +Test "tan_towardzero (7) == 0.8714479827243187364564508896003135663222": | |
4274 | +ildouble: 2 | |
4275 | +ldouble: 2 | |
4276 | +Test "tan_towardzero (9) == -0.4523156594418098405903708757987855343087": | |
4277 | +float: 1 | |
4278 | +ifloat: 1 | |
4279 | +ildouble: 1 | |
4280 | +ldouble: 1 | |
4281 | + | |
4282 | +# tan_upward | |
4283 | +Test "tan_upward (10) == 0.6483608274590866712591249330098086768169": | |
4284 | +ildouble: 1 | |
4285 | +ldouble: 1 | |
4286 | +Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": | |
4287 | +float: 1 | |
4288 | +ifloat: 1 | |
4289 | +ildouble: 3 | |
4290 | +ldouble: 3 | |
4291 | +Test "tan_upward (5) == -3.3805150062465856369827058794473439087096": | |
4292 | +float: 1 | |
4293 | +ifloat: 1 | |
4294 | +ildouble: 1 | |
4295 | +ldouble: 1 | |
4296 | +Test "tan_upward (6) == -0.2910061913847491570536995888681755428312": | |
4297 | +ildouble: 1 | |
4298 | +ldouble: 1 | |
4299 | +Test "tan_upward (7) == 0.8714479827243187364564508896003135663222": | |
4300 | +ildouble: 1 | |
4301 | +ldouble: 1 | |
4302 | +Test "tan_upward (9) == -0.4523156594418098405903708757987855343087": | |
4303 | +ildouble: 1 | |
4304 | +ldouble: 1 | |
4305 | + | |
4306 | +# tanh | |
4307 | +Test "tanh (-0.75) == -0.635148952387287319214434357312496495": | |
4308 | +ildouble: 1 | |
4309 | +ldouble: 1 | |
4310 | +Test "tanh (0.75) == 0.635148952387287319214434357312496495": | |
4311 | +ildouble: 1 | |
4312 | +ldouble: 1 | |
4313 | + | |
4314 | +# tgamma | |
4315 | +Test "tgamma (-0.5) == -2 sqrt (pi)": | |
4316 | double: 1 | |
4317 | +float: 1 | |
4318 | idouble: 1 | |
4319 | -Test "y0 (8.0) == 0.223521489387566220527323400498620359": | |
4320 | +ifloat: 1 | |
4321 | +Test "tgamma (0.5) == sqrt (pi)": | |
4322 | +float: 1 | |
4323 | +ifloat: 1 | |
4324 | +Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
4325 | double: 1 | |
4326 | float: 1 | |
4327 | idouble: 1 | |
4328 | ifloat: 1 | |
4329 | + | |
4330 | +# y0 | |
4331 | +Test "y0 (0.125) == -1.38968062514384052915582277745018693": | |
4332 | ildouble: 1 | |
4333 | ldouble: 1 | |
4334 | - | |
4335 | -# y1 | |
4336 | -Test "y1 (0.125) == -5.19993611253477499595928744876579921": | |
4337 | +Test "y0 (1.0) == 0.0882569642156769579829267660235151628": | |
4338 | +double: 2 | |
4339 | +float: 1 | |
4340 | +idouble: 2 | |
4341 | +ifloat: 1 | |
4342 | +ildouble: 1 | |
4343 | +ldouble: 1 | |
4344 | +Test "y0 (1.5) == 0.382448923797758843955068554978089862": | |
4345 | +double: 2 | |
4346 | +float: 1 | |
4347 | +idouble: 2 | |
4348 | +ifloat: 1 | |
4349 | +Test "y0 (10.0) == 0.0556711672835993914244598774101900481": | |
4350 | +double: 1 | |
4351 | +float: 1 | |
4352 | +idouble: 1 | |
4353 | +ifloat: 1 | |
4354 | +Test "y0 (2.0) == 0.510375672649745119596606592727157873": | |
4355 | double: 1 | |
4356 | idouble: 1 | |
4357 | -Test "y1 (1.5) == -0.412308626973911295952829820633445323": | |
4358 | +Test "y0 (8.0) == 0.223521489387566220527323400498620359": | |
4359 | +double: 1 | |
4360 | float: 1 | |
4361 | +idouble: 1 | |
4362 | ifloat: 1 | |
4363 | +ildouble: 1 | |
4364 | +ldouble: 1 | |
4365 | + | |
4366 | +# y1 | |
4367 | Test "y1 (10.0) == 0.249015424206953883923283474663222803": | |
4368 | double: 3 | |
4369 | float: 1 | |
4370 | @@ -794,30 +1138,27 @@ ldouble: 2 | |
4371 | Test "y1 (2.0) == -0.107032431540937546888370772277476637": | |
4372 | double: 1 | |
4373 | float: 1 | |
4374 | -idouble: 2 | |
4375 | -ifloat: 2 | |
4376 | +idouble: 1 | |
4377 | +ifloat: 1 | |
4378 | Test "y1 (8.0) == -0.158060461731247494255555266187483550": | |
4379 | double: 1 | |
4380 | float: 2 | |
4381 | idouble: 1 | |
4382 | ifloat: 2 | |
4383 | -ildouble: 2 | |
4384 | -ldouble: 2 | |
4385 | +ildouble: 1 | |
4386 | +ldouble: 1 | |
4387 | ||
4388 | # yn | |
4389 | Test "yn (0, 0.125) == -1.38968062514384052915582277745018693": | |
4390 | ildouble: 1 | |
4391 | ldouble: 1 | |
4392 | -Test "yn (0, 0.75) == -0.137172769385772397522814379396581855": | |
4393 | -ildouble: 1 | |
4394 | -ldouble: 1 | |
4395 | Test "yn (0, 1.0) == 0.0882569642156769579829267660235151628": | |
4396 | double: 2 | |
4397 | float: 1 | |
4398 | idouble: 2 | |
4399 | ifloat: 1 | |
4400 | -ildouble: 2 | |
4401 | -ldouble: 2 | |
4402 | +ildouble: 1 | |
4403 | +ldouble: 1 | |
4404 | Test "yn (0, 1.5) == 0.382448923797758843955068554978089862": | |
4405 | double: 2 | |
4406 | float: 1 | |
4407 | @@ -828,8 +1169,6 @@ double: 1 | |
4408 | float: 1 | |
4409 | idouble: 1 | |
4410 | ifloat: 1 | |
4411 | -ildouble: 2 | |
4412 | -ldouble: 2 | |
4413 | Test "yn (0, 2.0) == 0.510375672649745119596606592727157873": | |
4414 | double: 1 | |
4415 | idouble: 1 | |
4416 | @@ -838,14 +1177,8 @@ double: 1 | |
4417 | float: 1 | |
4418 | idouble: 1 | |
4419 | ifloat: 1 | |
4420 | -ildouble: 2 | |
4421 | -ldouble: 2 | |
4422 | -Test "yn (1, 0.125) == -5.19993611253477499595928744876579921": | |
4423 | -double: 1 | |
4424 | -idouble: 1 | |
4425 | -Test "yn (1, 1.5) == -0.412308626973911295952829820633445323": | |
4426 | -float: 2 | |
4427 | -ifloat: 2 | |
4428 | +ildouble: 1 | |
4429 | +ldouble: 1 | |
4430 | Test "yn (1, 10.0) == 0.249015424206953883923283474663222803": | |
4431 | double: 3 | |
4432 | float: 1 | |
4433 | @@ -863,14 +1196,8 @@ double: 1 | |
4434 | float: 2 | |
4435 | idouble: 1 | |
4436 | ifloat: 2 | |
4437 | -ildouble: 2 | |
4438 | -ldouble: 2 | |
4439 | -Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": | |
4440 | -double: 1 | |
4441 | -idouble: 1 | |
4442 | -Test "yn (10, 0.125) == -127057845771019398.252538486899753195": | |
4443 | -double: 1 | |
4444 | -idouble: 1 | |
4445 | +ildouble: 1 | |
4446 | +ldouble: 1 | |
4447 | Test "yn (10, 0.75) == -2133501638.90573424452445412893839236": | |
4448 | double: 1 | |
4449 | float: 2 | |
4450 | @@ -881,21 +1208,14 @@ float: 2 | |
4451 | ifloat: 2 | |
4452 | Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": | |
4453 | double: 2 | |
4454 | -float: 2 | |
4455 | idouble: 2 | |
4456 | -ifloat: 2 | |
4457 | -ildouble: 2 | |
4458 | -ldouble: 2 | |
4459 | Test "yn (10, 2.0) == -129184.542208039282635913145923304214": | |
4460 | double: 3 | |
4461 | float: 1 | |
4462 | idouble: 3 | |
4463 | ifloat: 1 | |
4464 | -ildouble: 2 | |
4465 | -ldouble: 2 | |
4466 | -Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": | |
4467 | -double: 1 | |
4468 | -idouble: 1 | |
4469 | +ildouble: 1 | |
4470 | +ldouble: 1 | |
4471 | Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": | |
4472 | float: 1 | |
4473 | ifloat: 1 | |
4474 | @@ -904,8 +1224,8 @@ double: 1 | |
4475 | float: 1 | |
4476 | idouble: 1 | |
4477 | ifloat: 1 | |
4478 | -ildouble: 2 | |
4479 | -ldouble: 2 | |
4480 | +ildouble: 1 | |
4481 | +ldouble: 1 | |
4482 | Test "yn (3, 2.0) == -1.12778377684042778608158395773179238": | |
4483 | double: 1 | |
4484 | idouble: 1 | |
4485 | @@ -950,18 +1270,12 @@ ildouble: 1 | |
4486 | ldouble: 1 | |
4487 | ||
4488 | Function: Real part of "cacosh": | |
4489 | -double: 1 | |
4490 | -float: 7 | |
4491 | -idouble: 1 | |
4492 | -ifloat: 7 | |
4493 | ildouble: 1 | |
4494 | ldouble: 1 | |
4495 | ||
4496 | Function: Imaginary part of "cacosh": | |
4497 | -double: 1 | |
4498 | -float: 3 | |
4499 | -idouble: 1 | |
4500 | -ifloat: 3 | |
4501 | +float: 1 | |
4502 | +ifloat: 1 | |
4503 | ||
4504 | Function: Real part of "casin": | |
4505 | double: 1 | |
4506 | @@ -992,8 +1306,6 @@ ildouble: 1 | |
4507 | ldouble: 1 | |
4508 | ||
4509 | Function: Real part of "catan": | |
4510 | -float: 4 | |
4511 | -ifloat: 4 | |
4512 | ildouble: 1 | |
4513 | ldouble: 1 | |
4514 | ||
4515 | @@ -1009,10 +1321,6 @@ Function: Real part of "catanh": | |
4516 | double: 4 | |
4517 | idouble: 4 | |
4518 | ||
4519 | -Function: Imaginary part of "catanh": | |
4520 | -float: 6 | |
4521 | -ifloat: 6 | |
4522 | - | |
4523 | Function: "cbrt": | |
4524 | double: 1 | |
4525 | idouble: 1 | |
4526 | @@ -1066,8 +1374,6 @@ ildouble: 2 | |
4527 | ldouble: 2 | |
4528 | ||
4529 | Function: Imaginary part of "clog": | |
4530 | -float: 3 | |
4531 | -ifloat: 3 | |
4532 | ildouble: 1 | |
4533 | ldouble: 1 | |
4534 | ||
4535 | @@ -1079,9 +1385,9 @@ ldouble: 3 | |
4536 | ||
4537 | Function: Imaginary part of "clog10": | |
4538 | double: 1 | |
4539 | -float: 5 | |
4540 | +float: 1 | |
4541 | idouble: 1 | |
4542 | -ifloat: 5 | |
4543 | +ifloat: 1 | |
4544 | ildouble: 1 | |
4545 | ldouble: 1 | |
4546 | ||
4547 | @@ -1093,10 +1399,54 @@ ifloat: 1 | |
4548 | ildouble: 1 | |
4549 | ldouble: 1 | |
4550 | ||
4551 | +Function: "cos_downward": | |
4552 | +float: 1 | |
4553 | +ifloat: 1 | |
4554 | +ildouble: 4 | |
4555 | +ldouble: 4 | |
4556 | + | |
4557 | +Function: "cos_tonearest": | |
4558 | +float: 1 | |
4559 | +ifloat: 1 | |
4560 | +ildouble: 1 | |
4561 | +ldouble: 1 | |
4562 | + | |
4563 | +Function: "cos_towardzero": | |
4564 | +float: 1 | |
4565 | +ifloat: 1 | |
4566 | +ildouble: 2 | |
4567 | +ldouble: 2 | |
4568 | + | |
4569 | +Function: "cos_upward": | |
4570 | +float: 2 | |
4571 | +ifloat: 2 | |
4572 | +ildouble: 2 | |
4573 | +ldouble: 2 | |
4574 | + | |
4575 | Function: "cosh": | |
4576 | ildouble: 1 | |
4577 | ldouble: 1 | |
4578 | ||
4579 | +Function: "cosh_downward": | |
4580 | +float: 1 | |
4581 | +ifloat: 1 | |
4582 | +ildouble: 5269156250720 | |
4583 | +ldouble: 5269156250720 | |
4584 | + | |
4585 | +Function: "cosh_tonearest": | |
4586 | +ildouble: 5269156250719 | |
4587 | +ldouble: 5269156250719 | |
4588 | + | |
4589 | +Function: "cosh_towardzero": | |
4590 | +float: 1 | |
4591 | +ifloat: 1 | |
4592 | +ildouble: 5269156250720 | |
4593 | +ldouble: 5269156250720 | |
4594 | + | |
4595 | +Function: "cosh_upward": | |
4596 | +ildouble: 5269156250719 | |
4597 | +ldouble: 5269156250719 | |
4598 | + | |
4599 | Function: Real part of "cpow": | |
4600 | double: 2 | |
4601 | float: 5 | |
4602 | @@ -1113,10 +1463,6 @@ ifloat: 2 | |
4603 | ildouble: 2 | |
4604 | ldouble: 2 | |
4605 | ||
4606 | -Function: Imaginary part of "cproj": | |
4607 | -ildouble: 1 | |
4608 | -ldouble: 1 | |
4609 | - | |
4610 | Function: Real part of "csin": | |
4611 | ildouble: 1 | |
4612 | ldouble: 1 | |
4613 | @@ -1146,8 +1492,6 @@ ildouble: 1 | |
4614 | ldouble: 1 | |
4615 | ||
4616 | Function: Real part of "ctan": | |
4617 | -double: 1 | |
4618 | -idouble: 1 | |
4619 | ildouble: 1 | |
4620 | ldouble: 1 | |
4621 | ||
4622 | @@ -1201,6 +1545,28 @@ Function: "exp2": | |
4623 | ildouble: 2 | |
4624 | ldouble: 2 | |
4625 | ||
4626 | +Function: "exp_downward": | |
4627 | +float: 1 | |
4628 | +ifloat: 1 | |
4629 | +ildouble: 1 | |
4630 | +ldouble: 1 | |
4631 | + | |
4632 | +Function: "exp_tonearest": | |
4633 | +ildouble: 1 | |
4634 | +ldouble: 1 | |
4635 | + | |
4636 | +Function: "exp_towardzero": | |
4637 | +float: 1 | |
4638 | +ifloat: 1 | |
4639 | +ildouble: 1 | |
4640 | +ldouble: 1 | |
4641 | + | |
4642 | +Function: "exp_upward": | |
4643 | +float: 1 | |
4644 | +ifloat: 1 | |
4645 | +ildouble: 1 | |
4646 | +ldouble: 1 | |
4647 | + | |
4648 | Function: "expm1": | |
4649 | double: 1 | |
4650 | float: 1 | |
4651 | @@ -1218,10 +1584,10 @@ ildouble: 1 | |
4652 | ldouble: 1 | |
4653 | ||
4654 | Function: "j0": | |
4655 | -double: 3 | |
4656 | -float: 2 | |
4657 | -idouble: 3 | |
4658 | -ifloat: 2 | |
4659 | +double: 2 | |
4660 | +float: 1 | |
4661 | +idouble: 2 | |
4662 | +ifloat: 1 | |
4663 | ildouble: 1 | |
4664 | ldouble: 1 | |
4665 | ||
4666 | @@ -1235,9 +1601,9 @@ ldouble: 1 | |
4667 | ||
4668 | Function: "jn": | |
4669 | double: 3 | |
4670 | -float: 4 | |
4671 | +float: 3 | |
4672 | idouble: 3 | |
4673 | -ifloat: 4 | |
4674 | +ifloat: 3 | |
4675 | ildouble: 4 | |
4676 | ldouble: 4 | |
4677 | ||
4678 | @@ -1264,8 +1630,6 @@ ldouble: 1 | |
4679 | Function: "log1p": | |
4680 | float: 1 | |
4681 | ifloat: 1 | |
4682 | -ildouble: 1 | |
4683 | -ldouble: 1 | |
4684 | ||
4685 | Function: "log2": | |
4686 | ildouble: 1 | |
4687 | @@ -1275,10 +1639,52 @@ Function: "pow": | |
4688 | ildouble: 1 | |
4689 | ldouble: 1 | |
4690 | ||
4691 | +Function: "pow_downward": | |
4692 | +float: 1 | |
4693 | +ifloat: 1 | |
4694 | +ildouble: 1 | |
4695 | +ldouble: 1 | |
4696 | + | |
4697 | +Function: "pow_towardzero": | |
4698 | +float: 1 | |
4699 | +ifloat: 1 | |
4700 | +ildouble: 1 | |
4701 | +ldouble: 1 | |
4702 | + | |
4703 | +Function: "pow_upward": | |
4704 | +float: 1 | |
4705 | +ifloat: 1 | |
4706 | +ildouble: 1 | |
4707 | +ldouble: 1 | |
4708 | + | |
4709 | Function: "sin": | |
4710 | ildouble: 1 | |
4711 | ldouble: 1 | |
4712 | ||
4713 | +Function: "sin_downward": | |
4714 | +float: 1 | |
4715 | +ifloat: 1 | |
4716 | +ildouble: 4 | |
4717 | +ldouble: 4 | |
4718 | + | |
4719 | +Function: "sin_tonearest": | |
4720 | +float: 1 | |
4721 | +ifloat: 1 | |
4722 | +ildouble: 1 | |
4723 | +ldouble: 1 | |
4724 | + | |
4725 | +Function: "sin_towardzero": | |
4726 | +float: 1 | |
4727 | +ifloat: 1 | |
4728 | +ildouble: 2 | |
4729 | +ldouble: 2 | |
4730 | + | |
4731 | +Function: "sin_upward": | |
4732 | +float: 2 | |
4733 | +ifloat: 2 | |
4734 | +ildouble: 2 | |
4735 | +ldouble: 2 | |
4736 | + | |
4737 | Function: "sincos": | |
4738 | double: 1 | |
4739 | float: 1 | |
4740 | @@ -1291,12 +1697,54 @@ Function: "sinh": | |
4741 | ildouble: 1 | |
4742 | ldouble: 1 | |
4743 | ||
4744 | +Function: "sinh_downward": | |
4745 | +float: 1 | |
4746 | +ifloat: 1 | |
4747 | +ildouble: 5269156250718 | |
4748 | +ldouble: 5269156250718 | |
4749 | + | |
4750 | +Function: "sinh_tonearest": | |
4751 | +ildouble: 5269156250719 | |
4752 | +ldouble: 5269156250719 | |
4753 | + | |
4754 | +Function: "sinh_towardzero": | |
4755 | +float: 1 | |
4756 | +ifloat: 1 | |
4757 | +ildouble: 5269156250718 | |
4758 | +ldouble: 5269156250718 | |
4759 | + | |
4760 | +Function: "sinh_upward": | |
4761 | +ildouble: 5269156250719 | |
4762 | +ldouble: 5269156250719 | |
4763 | + | |
4764 | Function: "tan": | |
4765 | double: 1 | |
4766 | idouble: 1 | |
4767 | ildouble: 1 | |
4768 | ldouble: 1 | |
4769 | ||
4770 | +Function: "tan_downward": | |
4771 | +float: 1 | |
4772 | +ifloat: 1 | |
4773 | +ildouble: 2 | |
4774 | +ldouble: 2 | |
4775 | + | |
4776 | +Function: "tan_tonearest": | |
4777 | +ildouble: 1 | |
4778 | +ldouble: 1 | |
4779 | + | |
4780 | +Function: "tan_towardzero": | |
4781 | +float: 1 | |
4782 | +ifloat: 1 | |
4783 | +ildouble: 3 | |
4784 | +ldouble: 3 | |
4785 | + | |
4786 | +Function: "tan_upward": | |
4787 | +float: 1 | |
4788 | +ifloat: 1 | |
4789 | +ildouble: 3 | |
4790 | +ldouble: 3 | |
4791 | + | |
4792 | Function: "tanh": | |
4793 | ildouble: 1 | |
4794 | ldouble: 1 | |
4795 | diff -Nrup a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps | |
4796 | --- a/sysdeps/s390/fpu/libm-test-ulps 2010-05-04 05:27:23.000000000 -0600 | |
4797 | +++ b/sysdeps/s390/fpu/libm-test-ulps 2012-08-06 09:54:38.324772546 -0600 | |
4798 | @@ -31,16 +31,9 @@ ildouble: 1 | |
4799 | ldouble: 1 | |
4800 | ||
4801 | # cacosh | |
4802 | -Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
4803 | -double: 1 | |
4804 | -float: 7 | |
4805 | -idouble: 1 | |
4806 | -ifloat: 7 | |
4807 | Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
4808 | -double: 1 | |
4809 | -float: 3 | |
4810 | -idouble: 1 | |
4811 | -ifloat: 3 | |
4812 | +float: 1 | |
4813 | +ifloat: 1 | |
4814 | ildouble: 1 | |
4815 | ldouble: 1 | |
4816 | ||
4817 | @@ -83,17 +76,11 @@ ildouble: 1 | |
4818 | ldouble: 1 | |
4819 | ||
4820 | # catan | |
4821 | -Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
4822 | -float: 3 | |
4823 | -ifloat: 3 | |
4824 | Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
4825 | double: 1 | |
4826 | float: 1 | |
4827 | idouble: 1 | |
4828 | ifloat: 1 | |
4829 | -Test "Real part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": | |
4830 | -float: 4 | |
4831 | -ifloat: 4 | |
4832 | Test "Imaginary part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": | |
4833 | ildouble: 1 | |
4834 | ldouble: 1 | |
4835 | @@ -102,17 +89,12 @@ ldouble: 1 | |
4836 | Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
4837 | double: 4 | |
4838 | idouble: 4 | |
4839 | -Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
4840 | -float: 4 | |
4841 | -ifloat: 4 | |
4842 | Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
4843 | double: 1 | |
4844 | idouble: 1 | |
4845 | ildouble: 1 | |
4846 | ldouble: 1 | |
4847 | Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
4848 | -float: 6 | |
4849 | -ifloat: 6 | |
4850 | ildouble: 1 | |
4851 | ldouble: 1 | |
4852 | ||
4853 | @@ -185,9 +167,6 @@ ildouble: 1 | |
4854 | ldouble: 1 | |
4855 | ||
4856 | # clog | |
4857 | -Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": | |
4858 | -float: 3 | |
4859 | -ifloat: 3 | |
4860 | Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": | |
4861 | float: 1 | |
4862 | ifloat: 1 | |
4863 | @@ -210,9 +189,7 @@ ildouble: 1 | |
4864 | ldouble: 1 | |
4865 | Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": | |
4866 | double: 1 | |
4867 | -float: 5 | |
4868 | idouble: 1 | |
4869 | -ifloat: 5 | |
4870 | ildouble: 1 | |
4871 | ldouble: 1 | |
4872 | Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": | |
4873 | @@ -288,9 +265,7 @@ ifloat: 1 | |
4874 | # cos | |
4875 | Test "cos (M_PI_6l * 2.0) == 0.5": | |
4876 | double: 1 | |
4877 | -float: 1 | |
4878 | idouble: 1 | |
4879 | -ifloat: 1 | |
4880 | ildouble: 1 | |
4881 | ldouble: 1 | |
4882 | Test "cos (M_PI_6l * 4.0) == -0.5": | |
4883 | @@ -300,11 +275,159 @@ idouble: 2 | |
4884 | ifloat: 1 | |
4885 | ildouble: 1 | |
4886 | ldouble: 1 | |
4887 | -Test "cos (pi/2) == 0": | |
4888 | -double: 1 | |
4889 | + | |
4890 | +# cos_downward | |
4891 | +Test "cos_downward (1) == 0.5403023058681397174009366074429766037323": | |
4892 | +float: 1 | |
4893 | +ifloat: 1 | |
4894 | +ildouble: 1 | |
4895 | +ldouble: 1 | |
4896 | +Test "cos_downward (10) == -0.8390715290764524522588639478240648345199": | |
4897 | +ildouble: 1 | |
4898 | +ldouble: 1 | |
4899 | +Test "cos_downward (2) == -0.4161468365471423869975682295007621897660": | |
4900 | +float: 1 | |
4901 | +ifloat: 1 | |
4902 | +ildouble: 1 | |
4903 | +ldouble: 1 | |
4904 | +Test "cos_downward (3) == -0.9899924966004454572715727947312613023937": | |
4905 | +float: 1 | |
4906 | +ifloat: 1 | |
4907 | +ildouble: 1 | |
4908 | +ldouble: 1 | |
4909 | +Test "cos_downward (4) == -0.6536436208636119146391681830977503814241": | |
4910 | +float: 1 | |
4911 | +ifloat: 1 | |
4912 | +ildouble: 1 | |
4913 | +ldouble: 1 | |
4914 | +Test "cos_downward (5) == 0.2836621854632262644666391715135573083344": | |
4915 | +float: 1 | |
4916 | +ifloat: 1 | |
4917 | +ildouble: 1 | |
4918 | +ldouble: 1 | |
4919 | +Test "cos_downward (6) == 0.9601702866503660205456522979229244054519": | |
4920 | +ildouble: 1 | |
4921 | +ldouble: 1 | |
4922 | +Test "cos_downward (7) == 0.7539022543433046381411975217191820122183": | |
4923 | +float: 1 | |
4924 | +ifloat: 1 | |
4925 | +ildouble: 1 | |
4926 | +ldouble: 1 | |
4927 | +Test "cos_downward (8) == -0.1455000338086135258688413818311946826093": | |
4928 | +float: 1 | |
4929 | +ifloat: 1 | |
4930 | +ildouble: 2 | |
4931 | +ldouble: 2 | |
4932 | + | |
4933 | +# cos_tonearest | |
4934 | +Test "cos_tonearest (7) == 0.7539022543433046381411975217191820122183": | |
4935 | +float: 1 | |
4936 | +ifloat: 1 | |
4937 | + | |
4938 | +# cos_towardzero | |
4939 | +Test "cos_towardzero (1) == 0.5403023058681397174009366074429766037323": | |
4940 | +ildouble: 1 | |
4941 | +ldouble: 1 | |
4942 | +Test "cos_towardzero (10) == -0.8390715290764524522588639478240648345199": | |
4943 | +ildouble: 1 | |
4944 | +ldouble: 1 | |
4945 | +Test "cos_towardzero (2) == -0.4161468365471423869975682295007621897660": | |
4946 | +float: 1 | |
4947 | +ifloat: 1 | |
4948 | +ildouble: 1 | |
4949 | +ldouble: 1 | |
4950 | +Test "cos_towardzero (3) == -0.9899924966004454572715727947312613023937": | |
4951 | +float: 1 | |
4952 | +ifloat: 1 | |
4953 | +ildouble: 1 | |
4954 | +ldouble: 1 | |
4955 | +Test "cos_towardzero (4) == -0.6536436208636119146391681830977503814241": | |
4956 | +ildouble: 1 | |
4957 | +ldouble: 1 | |
4958 | +Test "cos_towardzero (5) == 0.2836621854632262644666391715135573083344": | |
4959 | +float: 1 | |
4960 | +ifloat: 1 | |
4961 | +ildouble: 1 | |
4962 | +ldouble: 1 | |
4963 | +Test "cos_towardzero (6) == 0.9601702866503660205456522979229244054519": | |
4964 | +ildouble: 1 | |
4965 | +ldouble: 1 | |
4966 | +Test "cos_towardzero (7) == 0.7539022543433046381411975217191820122183": | |
4967 | +float: 1 | |
4968 | +ifloat: 1 | |
4969 | +ildouble: 1 | |
4970 | +ldouble: 1 | |
4971 | +Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093": | |
4972 | +float: 1 | |
4973 | +ifloat: 1 | |
4974 | +ildouble: 2 | |
4975 | +ldouble: 2 | |
4976 | + | |
4977 | +# cos_upward | |
4978 | +Test "cos_upward (10) == -0.8390715290764524522588639478240648345199": | |
4979 | +float: 1 | |
4980 | +ifloat: 1 | |
4981 | +Test "cos_upward (6) == 0.9601702866503660205456522979229244054519": | |
4982 | +float: 1 | |
4983 | +ifloat: 1 | |
4984 | +Test "cos_upward (7) == 0.7539022543433046381411975217191820122183": | |
4985 | +float: 1 | |
4986 | +ifloat: 1 | |
4987 | +Test "cos_upward (9) == -0.9111302618846769883682947111811653112463": | |
4988 | +float: 2 | |
4989 | +ifloat: 2 | |
4990 | +ildouble: 1 | |
4991 | +ldouble: 1 | |
4992 | + | |
4993 | +# cosh_downward | |
4994 | +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": | |
4995 | +float: 1 | |
4996 | +ifloat: 1 | |
4997 | +ildouble: 1 | |
4998 | +ldouble: 1 | |
4999 | +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": | |
5000 | +float: 1 | |
5001 | +ifloat: 1 | |
5002 | +ildouble: 1 | |
5003 | +ldouble: 1 | |
5004 | +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": | |
5005 | +float: 1 | |
5006 | +ifloat: 1 | |
5007 | +ildouble: 1 | |
5008 | +ldouble: 1 | |
5009 | + | |
5010 | +# cosh_tonearest | |
5011 | +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": | |
5012 | +ildouble: 1 | |
5013 | +ldouble: 1 | |
5014 | + | |
5015 | +# cosh_towardzero | |
5016 | +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": | |
5017 | +float: 1 | |
5018 | +ifloat: 1 | |
5019 | +ildouble: 1 | |
5020 | +ldouble: 1 | |
5021 | +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": | |
5022 | +float: 1 | |
5023 | +ifloat: 1 | |
5024 | +ildouble: 1 | |
5025 | +ldouble: 1 | |
5026 | +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": | |
5027 | float: 1 | |
5028 | -idouble: 1 | |
5029 | ifloat: 1 | |
5030 | +ildouble: 1 | |
5031 | +ldouble: 1 | |
5032 | + | |
5033 | +# cosh_upward | |
5034 | +Test "cosh_upward (22) == 1792456423.065795780980053377632656584997": | |
5035 | +ildouble: 1 | |
5036 | +ldouble: 1 | |
5037 | +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": | |
5038 | +ildouble: 1 | |
5039 | +ldouble: 1 | |
5040 | +Test "cosh_upward (24) == 13244561064.92173614708845674912733665919": | |
5041 | +ildouble: 1 | |
5042 | +ldouble: 1 | |
5043 | ||
5044 | # cpow | |
5045 | Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": | |
5046 | @@ -393,8 +516,6 @@ ldouble: 1 | |
5047 | ||
5048 | # ctan | |
5049 | Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
5050 | -double: 1 | |
5051 | -idouble: 1 | |
5052 | ildouble: 1 | |
5053 | ldouble: 1 | |
5054 | Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
5055 | @@ -467,6 +588,37 @@ Test "exp2 (10) == 1024": | |
5056 | ildouble: 2 | |
5057 | ldouble: 2 | |
5058 | ||
5059 | +# exp_downward | |
5060 | +Test "exp_downward (2) == e^2": | |
5061 | +float: 1 | |
5062 | +ifloat: 1 | |
5063 | +ildouble: 1 | |
5064 | +ldouble: 1 | |
5065 | +Test "exp_downward (3) == e^3": | |
5066 | +float: 1 | |
5067 | +ifloat: 1 | |
5068 | +ildouble: 1 | |
5069 | +ldouble: 1 | |
5070 | + | |
5071 | +# exp_towardzero | |
5072 | +Test "exp_towardzero (2) == e^2": | |
5073 | +float: 1 | |
5074 | +ifloat: 1 | |
5075 | +ildouble: 1 | |
5076 | +ldouble: 1 | |
5077 | +Test "exp_towardzero (3) == e^3": | |
5078 | +float: 1 | |
5079 | +ifloat: 1 | |
5080 | +ildouble: 1 | |
5081 | +ldouble: 1 | |
5082 | + | |
5083 | +# exp_upward | |
5084 | +Test "exp_upward (1) == e": | |
5085 | +float: 1 | |
5086 | +ifloat: 1 | |
5087 | +ildouble: 1 | |
5088 | +ldouble: 1 | |
5089 | + | |
5090 | # expm1 | |
5091 | Test "expm1 (0.75) == 1.11700001661267466854536981983709561": | |
5092 | double: 1 | |
5093 | @@ -513,29 +665,27 @@ ifloat: 1 | |
5094 | # j0 | |
5095 | Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": | |
5096 | double: 1 | |
5097 | -float: 2 | |
5098 | +float: 1 | |
5099 | idouble: 1 | |
5100 | -ifloat: 2 | |
5101 | +ifloat: 1 | |
5102 | Test "j0 (0.75) == 0.864242275166648623555731103820923211": | |
5103 | float: 1 | |
5104 | ifloat: 1 | |
5105 | Test "j0 (10.0) == -0.245935764451348335197760862485328754": | |
5106 | -double: 3 | |
5107 | +double: 2 | |
5108 | float: 1 | |
5109 | -idouble: 3 | |
5110 | +idouble: 2 | |
5111 | ifloat: 1 | |
5112 | ildouble: 2 | |
5113 | ldouble: 2 | |
5114 | Test "j0 (2.0) == 0.223890779141235668051827454649948626": | |
5115 | -float: 2 | |
5116 | -ifloat: 2 | |
5117 | ildouble: 2 | |
5118 | ldouble: 2 | |
5119 | Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": | |
5120 | double: 1 | |
5121 | -float: 2 | |
5122 | +float: 1 | |
5123 | idouble: 1 | |
5124 | -ifloat: 2 | |
5125 | +ifloat: 1 | |
5126 | Test "j0 (8.0) == 0.171650807137553906090869407851972001": | |
5127 | float: 1 | |
5128 | ifloat: 1 | |
5129 | @@ -569,29 +719,27 @@ ldouble: 4 | |
5130 | # jn | |
5131 | Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": | |
5132 | double: 1 | |
5133 | -float: 2 | |
5134 | +float: 1 | |
5135 | idouble: 1 | |
5136 | -ifloat: 2 | |
5137 | +ifloat: 1 | |
5138 | Test "jn (0, 0.75) == 0.864242275166648623555731103820923211": | |
5139 | float: 1 | |
5140 | ifloat: 1 | |
5141 | Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": | |
5142 | -double: 3 | |
5143 | +double: 2 | |
5144 | float: 1 | |
5145 | -idouble: 3 | |
5146 | +idouble: 2 | |
5147 | ifloat: 1 | |
5148 | ildouble: 2 | |
5149 | ldouble: 2 | |
5150 | Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": | |
5151 | -float: 2 | |
5152 | -ifloat: 2 | |
5153 | ildouble: 2 | |
5154 | ldouble: 2 | |
5155 | Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": | |
5156 | double: 1 | |
5157 | -float: 2 | |
5158 | +float: 1 | |
5159 | idouble: 1 | |
5160 | -ifloat: 2 | |
5161 | +ifloat: 1 | |
5162 | Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": | |
5163 | float: 1 | |
5164 | ifloat: 1 | |
5165 | @@ -640,15 +788,13 @@ Test "jn (10, 1.0) == 0.2630615123687453 | |
5166 | ildouble: 1 | |
5167 | ldouble: 1 | |
5168 | Test "jn (10, 10.0) == 0.207486106633358857697278723518753428": | |
5169 | -double: 4 | |
5170 | -float: 3 | |
5171 | -idouble: 4 | |
5172 | -ifloat: 3 | |
5173 | +float: 1 | |
5174 | +ifloat: 1 | |
5175 | ildouble: 2 | |
5176 | ldouble: 2 | |
5177 | Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": | |
5178 | -float: 4 | |
5179 | -ifloat: 4 | |
5180 | +float: 3 | |
5181 | +ifloat: 3 | |
5182 | Test "jn (3, 0.125) == 0.406503832554912875023029337653442868e-4": | |
5183 | double: 1 | |
5184 | float: 1 | |
5185 | @@ -661,16 +807,16 @@ idouble: 1 | |
5186 | ifloat: 1 | |
5187 | Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": | |
5188 | double: 3 | |
5189 | -float: 2 | |
5190 | +float: 1 | |
5191 | idouble: 3 | |
5192 | -ifloat: 2 | |
5193 | +ifloat: 1 | |
5194 | ildouble: 2 | |
5195 | ldouble: 2 | |
5196 | Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": | |
5197 | double: 1 | |
5198 | -float: 2 | |
5199 | +float: 1 | |
5200 | idouble: 1 | |
5201 | -ifloat: 2 | |
5202 | +ifloat: 1 | |
5203 | ||
5204 | # lgamma | |
5205 | Test "lgamma (-0.5) == log(2*sqrt(pi))": | |
5206 | @@ -713,71 +859,315 @@ Test "log2 (0.75) == -.41503749927884381 | |
5207 | ildouble: 1 | |
5208 | ldouble: 1 | |
5209 | ||
5210 | -# sincos | |
5211 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
5212 | -double: 1 | |
5213 | +# pow_downward | |
5214 | +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
5215 | float: 1 | |
5216 | -idouble: 1 | |
5217 | ifloat: 1 | |
5218 | -ildouble: 1 | |
5219 | -ldouble: 1 | |
5220 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
5221 | -double: 1 | |
5222 | + | |
5223 | +# pow_towardzero | |
5224 | +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
5225 | +float: 1 | |
5226 | +ifloat: 1 | |
5227 | + | |
5228 | +# pow_upward | |
5229 | +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
5230 | float: 1 | |
5231 | -idouble: 1 | |
5232 | ifloat: 1 | |
5233 | ildouble: 1 | |
5234 | ldouble: 1 | |
5235 | -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": | |
5236 | -double: 1 | |
5237 | + | |
5238 | +# sin_downward | |
5239 | +Test "sin_downward (1) == 0.8414709848078965066525023216302989996226": | |
5240 | +ildouble: 1 | |
5241 | +ldouble: 1 | |
5242 | +Test "sin_downward (10) == -0.5440211108893698134047476618513772816836": | |
5243 | float: 1 | |
5244 | -idouble: 1 | |
5245 | ifloat: 1 | |
5246 | -Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
5247 | +Test "sin_downward (2) == 0.9092974268256816953960198659117448427023": | |
5248 | +ildouble: 1 | |
5249 | +ldouble: 1 | |
5250 | +Test "sin_downward (3) == 0.1411200080598672221007448028081102798469": | |
5251 | float: 1 | |
5252 | ifloat: 1 | |
5253 | - | |
5254 | -# sqrt | |
5255 | -Test "sqrt (2) == M_SQRT2l": | |
5256 | ildouble: 1 | |
5257 | ldouble: 1 | |
5258 | - | |
5259 | -# tan | |
5260 | -Test "tan (pi/4) == 1": | |
5261 | -double: 1 | |
5262 | -idouble: 1 | |
5263 | - | |
5264 | -# tanh | |
5265 | -Test "tanh (-0.75) == -0.635148952387287319214434357312496495": | |
5266 | +Test "sin_downward (4) == -0.7568024953079282513726390945118290941359": | |
5267 | ildouble: 1 | |
5268 | ldouble: 1 | |
5269 | -Test "tanh (-1.0) == -0.7615941559557648881194582826047935904": | |
5270 | +Test "sin_downward (5) == -0.9589242746631384688931544061559939733525": | |
5271 | +float: 1 | |
5272 | +ifloat: 1 | |
5273 | ildouble: 1 | |
5274 | ldouble: 1 | |
5275 | -Test "tanh (0.75) == 0.635148952387287319214434357312496495": | |
5276 | +Test "sin_downward (6) == -0.2794154981989258728115554466118947596280": | |
5277 | +float: 1 | |
5278 | +ifloat: 1 | |
5279 | ildouble: 1 | |
5280 | ldouble: 1 | |
5281 | -Test "tanh (1.0) == 0.7615941559557648881194582826047935904": | |
5282 | +Test "sin_downward (8) == 0.9893582466233817778081235982452886721164": | |
5283 | ildouble: 1 | |
5284 | ldouble: 1 | |
5285 | ||
5286 | -# tgamma | |
5287 | -Test "tgamma (-0.5) == -2 sqrt (pi)": | |
5288 | -double: 1 | |
5289 | +# sin_tonearest | |
5290 | +Test "sin_tonearest (1) == 0.8414709848078965066525023216302989996226": | |
5291 | float: 1 | |
5292 | -idouble: 1 | |
5293 | ifloat: 1 | |
5294 | ildouble: 1 | |
5295 | ldouble: 1 | |
5296 | -Test "tgamma (0.5) == sqrt (pi)": | |
5297 | +Test "sin_tonearest (3) == 0.1411200080598672221007448028081102798469": | |
5298 | +ildouble: 1 | |
5299 | +ldouble: 1 | |
5300 | +Test "sin_tonearest (6) == -0.2794154981989258728115554466118947596280": | |
5301 | +ildouble: 1 | |
5302 | +ldouble: 1 | |
5303 | +Test "sin_tonearest (9) == 0.4121184852417565697562725663524351793439": | |
5304 | +ildouble: 1 | |
5305 | +ldouble: 1 | |
5306 | + | |
5307 | +# sin_towardzero | |
5308 | +Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": | |
5309 | float: 1 | |
5310 | ifloat: 1 | |
5311 | -Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
5312 | -double: 1 | |
5313 | +Test "sin_towardzero (10) == -0.5440211108893698134047476618513772816836": | |
5314 | float: 1 | |
5315 | -idouble: 1 | |
5316 | ifloat: 1 | |
5317 | -Test "tgamma (4) == 6": | |
5318 | +Test "sin_towardzero (2) == 0.9092974268256816953960198659117448427023": | |
5319 | +ildouble: 1 | |
5320 | +ldouble: 1 | |
5321 | +Test "sin_towardzero (3) == 0.1411200080598672221007448028081102798469": | |
5322 | +ildouble: 1 | |
5323 | +ldouble: 1 | |
5324 | +Test "sin_towardzero (4) == -0.7568024953079282513726390945118290941359": | |
5325 | +float: 1 | |
5326 | +ifloat: 1 | |
5327 | +Test "sin_towardzero (5) == -0.9589242746631384688931544061559939733525": | |
5328 | +float: 1 | |
5329 | +ifloat: 1 | |
5330 | +ildouble: 1 | |
5331 | +ldouble: 1 | |
5332 | +Test "sin_towardzero (6) == -0.2794154981989258728115554466118947596280": | |
5333 | +ildouble: 1 | |
5334 | +ldouble: 1 | |
5335 | +Test "sin_towardzero (8) == 0.9893582466233817778081235982452886721164": | |
5336 | +ildouble: 1 | |
5337 | +ldouble: 1 | |
5338 | +Test "sin_towardzero (9) == 0.4121184852417565697562725663524351793439": | |
5339 | +float: 1 | |
5340 | +ifloat: 1 | |
5341 | +ildouble: 2 | |
5342 | +ldouble: 2 | |
5343 | + | |
5344 | +# sin_upward | |
5345 | +Test "sin_upward (1) == 0.8414709848078965066525023216302989996226": | |
5346 | +float: 1 | |
5347 | +ifloat: 1 | |
5348 | +ildouble: 1 | |
5349 | +ldouble: 1 | |
5350 | +Test "sin_upward (10) == -0.5440211108893698134047476618513772816836": | |
5351 | +ildouble: 1 | |
5352 | +ldouble: 1 | |
5353 | +Test "sin_upward (2) == 0.9092974268256816953960198659117448427023": | |
5354 | +float: 2 | |
5355 | +ifloat: 2 | |
5356 | +Test "sin_upward (3) == 0.1411200080598672221007448028081102798469": | |
5357 | +ildouble: 1 | |
5358 | +ldouble: 1 | |
5359 | +Test "sin_upward (4) == -0.7568024953079282513726390945118290941359": | |
5360 | +float: 1 | |
5361 | +ifloat: 1 | |
5362 | +ildouble: 1 | |
5363 | +ldouble: 1 | |
5364 | +Test "sin_upward (7) == 0.6569865987187890903969990915936351779369": | |
5365 | +ildouble: 1 | |
5366 | +ldouble: 1 | |
5367 | +Test "sin_upward (9) == 0.4121184852417565697562725663524351793439": | |
5368 | +float: 1 | |
5369 | +ifloat: 1 | |
5370 | +ildouble: 1 | |
5371 | +ldouble: 1 | |
5372 | + | |
5373 | +# sincos | |
5374 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
5375 | +double: 1 | |
5376 | +idouble: 1 | |
5377 | +ildouble: 1 | |
5378 | +ldouble: 1 | |
5379 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
5380 | +double: 1 | |
5381 | +float: 1 | |
5382 | +idouble: 1 | |
5383 | +ifloat: 1 | |
5384 | +ildouble: 1 | |
5385 | +ldouble: 1 | |
5386 | +Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
5387 | +float: 1 | |
5388 | +ifloat: 1 | |
5389 | + | |
5390 | +# sinh_downward | |
5391 | +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": | |
5392 | +float: 1 | |
5393 | +ifloat: 1 | |
5394 | +ildouble: 1 | |
5395 | +ldouble: 1 | |
5396 | +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": | |
5397 | +float: 1 | |
5398 | +ifloat: 1 | |
5399 | +ildouble: 2 | |
5400 | +ldouble: 2 | |
5401 | +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": | |
5402 | +float: 1 | |
5403 | +ifloat: 1 | |
5404 | +ildouble: 1 | |
5405 | +ldouble: 1 | |
5406 | + | |
5407 | +# sinh_towardzero | |
5408 | +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": | |
5409 | +float: 1 | |
5410 | +ifloat: 1 | |
5411 | +ildouble: 1 | |
5412 | +ldouble: 1 | |
5413 | +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": | |
5414 | +float: 1 | |
5415 | +ifloat: 1 | |
5416 | +ildouble: 2 | |
5417 | +ldouble: 2 | |
5418 | +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": | |
5419 | +float: 1 | |
5420 | +ifloat: 1 | |
5421 | + | |
5422 | +# sinh_upward | |
5423 | +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": | |
5424 | +ildouble: 1 | |
5425 | +ldouble: 1 | |
5426 | +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": | |
5427 | +ildouble: 1 | |
5428 | +ldouble: 1 | |
5429 | +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": | |
5430 | +ildouble: 1 | |
5431 | +ldouble: 1 | |
5432 | + | |
5433 | +# sqrt | |
5434 | +Test "sqrt (2) == M_SQRT2l": | |
5435 | +ildouble: 1 | |
5436 | +ldouble: 1 | |
5437 | + | |
5438 | +# tan_downward | |
5439 | +Test "tan_downward (1) == 1.5574077246549022305069748074583601730873": | |
5440 | +float: 1 | |
5441 | +ifloat: 1 | |
5442 | +ildouble: 1 | |
5443 | +ldouble: 1 | |
5444 | +Test "tan_downward (10) == 0.6483608274590866712591249330098086768169": | |
5445 | +float: 1 | |
5446 | +ifloat: 1 | |
5447 | +Test "tan_downward (2) == -2.1850398632615189916433061023136825434320": | |
5448 | +float: 1 | |
5449 | +ifloat: 1 | |
5450 | +ildouble: 1 | |
5451 | +ldouble: 1 | |
5452 | +Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": | |
5453 | +float: 1 | |
5454 | +ifloat: 1 | |
5455 | +Test "tan_downward (8) == -6.7997114552203786999252627596086333648814": | |
5456 | +float: 1 | |
5457 | +ifloat: 1 | |
5458 | +ildouble: 1 | |
5459 | +ldouble: 1 | |
5460 | +Test "tan_downward (9) == -0.4523156594418098405903708757987855343087": | |
5461 | +float: 1 | |
5462 | +ifloat: 1 | |
5463 | + | |
5464 | +# tan_towardzero | |
5465 | +Test "tan_towardzero (10) == 0.6483608274590866712591249330098086768169": | |
5466 | +float: 1 | |
5467 | +ifloat: 1 | |
5468 | +Test "tan_towardzero (3) == -0.1425465430742778052956354105339134932261": | |
5469 | +float: 1 | |
5470 | +ifloat: 1 | |
5471 | +ildouble: 1 | |
5472 | +ldouble: 1 | |
5473 | +Test "tan_towardzero (4) == 1.1578212823495775831373424182673239231198": | |
5474 | +float: 1 | |
5475 | +ifloat: 1 | |
5476 | +ildouble: 1 | |
5477 | +ldouble: 1 | |
5478 | +Test "tan_towardzero (5) == -3.3805150062465856369827058794473439087096": | |
5479 | +float: 1 | |
5480 | +ifloat: 1 | |
5481 | +ildouble: 1 | |
5482 | +ldouble: 1 | |
5483 | +Test "tan_towardzero (6) == -0.2910061913847491570536995888681755428312": | |
5484 | +ildouble: 1 | |
5485 | +ldouble: 1 | |
5486 | +Test "tan_towardzero (9) == -0.4523156594418098405903708757987855343087": | |
5487 | +float: 1 | |
5488 | +ifloat: 1 | |
5489 | +ildouble: 1 | |
5490 | +ldouble: 1 | |
5491 | + | |
5492 | +# tan_upward | |
5493 | +Test "tan_upward (1) == 1.5574077246549022305069748074583601730873": | |
5494 | +float: 1 | |
5495 | +ifloat: 1 | |
5496 | +Test "tan_upward (10) == 0.6483608274590866712591249330098086768169": | |
5497 | +float: 1 | |
5498 | +ifloat: 1 | |
5499 | +ildouble: 1 | |
5500 | +ldouble: 1 | |
5501 | +Test "tan_upward (2) == -2.1850398632615189916433061023136825434320": | |
5502 | +ildouble: 1 | |
5503 | +ldouble: 1 | |
5504 | +Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": | |
5505 | +float: 1 | |
5506 | +ifloat: 1 | |
5507 | +ildouble: 1 | |
5508 | +ldouble: 1 | |
5509 | +Test "tan_upward (4) == 1.1578212823495775831373424182673239231198": | |
5510 | +ildouble: 1 | |
5511 | +ldouble: 1 | |
5512 | +Test "tan_upward (5) == -3.3805150062465856369827058794473439087096": | |
5513 | +float: 1 | |
5514 | +ifloat: 1 | |
5515 | +ildouble: 1 | |
5516 | +ldouble: 1 | |
5517 | +Test "tan_upward (6) == -0.2910061913847491570536995888681755428312": | |
5518 | +ildouble: 1 | |
5519 | +ldouble: 1 | |
5520 | +Test "tan_upward (9) == -0.4523156594418098405903708757987855343087": | |
5521 | +ildouble: 1 | |
5522 | +ldouble: 1 | |
5523 | + | |
5524 | +# tanh | |
5525 | +Test "tanh (-0.75) == -0.635148952387287319214434357312496495": | |
5526 | +ildouble: 1 | |
5527 | +ldouble: 1 | |
5528 | +Test "tanh (-1.0) == -0.7615941559557648881194582826047935904": | |
5529 | +ildouble: 1 | |
5530 | +ldouble: 1 | |
5531 | +Test "tanh (0.75) == 0.635148952387287319214434357312496495": | |
5532 | +ildouble: 1 | |
5533 | +ldouble: 1 | |
5534 | +Test "tanh (1.0) == 0.7615941559557648881194582826047935904": | |
5535 | +ildouble: 1 | |
5536 | +ldouble: 1 | |
5537 | + | |
5538 | +# tgamma | |
5539 | +Test "tgamma (-0.5) == -2 sqrt (pi)": | |
5540 | +double: 1 | |
5541 | +float: 1 | |
5542 | +idouble: 1 | |
5543 | +ifloat: 1 | |
5544 | +ildouble: 1 | |
5545 | +ldouble: 1 | |
5546 | +Test "tgamma (0.5) == sqrt (pi)": | |
5547 | +float: 1 | |
5548 | +ifloat: 1 | |
5549 | +Test "tgamma (0.7) == 1.29805533264755778568117117915281162": | |
5550 | +double: 1 | |
5551 | +float: 1 | |
5552 | +idouble: 1 | |
5553 | +ifloat: 1 | |
5554 | +Test "tgamma (4) == 6": | |
5555 | ildouble: 1 | |
5556 | ldouble: 1 | |
5557 | ||
5558 | @@ -917,17 +1307,13 @@ ifloat: 2 | |
5559 | ildouble: 5 | |
5560 | ldouble: 5 | |
5561 | Test "yn (10, 1.0) == -121618014.278689189288130426667971145": | |
5562 | -double: 1 | |
5563 | float: 2 | |
5564 | -idouble: 1 | |
5565 | ifloat: 2 | |
5566 | ildouble: 1 | |
5567 | ldouble: 1 | |
5568 | Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": | |
5569 | double: 2 | |
5570 | -float: 2 | |
5571 | idouble: 2 | |
5572 | -ifloat: 2 | |
5573 | ildouble: 2 | |
5574 | ldouble: 2 | |
5575 | Test "yn (10, 2.0) == -129184.542208039282635913145923304214": | |
5576 | @@ -941,9 +1327,7 @@ Test "yn (3, 0.125) == -2612.69757350066 | |
5577 | double: 1 | |
5578 | idouble: 1 | |
5579 | Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": | |
5580 | -double: 1 | |
5581 | float: 1 | |
5582 | -idouble: 1 | |
5583 | ifloat: 1 | |
5584 | ildouble: 2 | |
5585 | ldouble: 2 | |
5586 | @@ -973,17 +1357,9 @@ Function: Imaginary part of "cacos": | |
5587 | ildouble: 1 | |
5588 | ldouble: 1 | |
5589 | ||
5590 | -Function: Real part of "cacosh": | |
5591 | -double: 1 | |
5592 | -float: 7 | |
5593 | -idouble: 1 | |
5594 | -ifloat: 7 | |
5595 | - | |
5596 | Function: Imaginary part of "cacosh": | |
5597 | -double: 1 | |
5598 | -float: 3 | |
5599 | -idouble: 1 | |
5600 | -ifloat: 3 | |
5601 | +float: 1 | |
5602 | +ifloat: 1 | |
5603 | ildouble: 1 | |
5604 | ldouble: 1 | |
5605 | ||
5606 | @@ -1013,10 +1389,6 @@ ifloat: 6 | |
5607 | ildouble: 2 | |
5608 | ldouble: 2 | |
5609 | ||
5610 | -Function: Real part of "catan": | |
5611 | -float: 4 | |
5612 | -ifloat: 4 | |
5613 | - | |
5614 | Function: Imaginary part of "catan": | |
5615 | double: 1 | |
5616 | float: 1 | |
5617 | @@ -1032,8 +1404,6 @@ ildouble: 1 | |
5618 | ldouble: 1 | |
5619 | ||
5620 | Function: Imaginary part of "catanh": | |
5621 | -float: 6 | |
5622 | -ifloat: 6 | |
5623 | ildouble: 1 | |
5624 | ldouble: 1 | |
5625 | ||
5626 | @@ -1089,10 +1459,6 @@ ifloat: 1 | |
5627 | ildouble: 1 | |
5628 | ldouble: 1 | |
5629 | ||
5630 | -Function: Imaginary part of "clog": | |
5631 | -float: 3 | |
5632 | -ifloat: 3 | |
5633 | - | |
5634 | Function: Real part of "clog10": | |
5635 | float: 1 | |
5636 | ifloat: 1 | |
5637 | @@ -1101,9 +1467,9 @@ ldouble: 1 | |
5638 | ||
5639 | Function: Imaginary part of "clog10": | |
5640 | double: 1 | |
5641 | -float: 5 | |
5642 | +float: 1 | |
5643 | idouble: 1 | |
5644 | -ifloat: 5 | |
5645 | +ifloat: 1 | |
5646 | ildouble: 1 | |
5647 | ldouble: 1 | |
5648 | ||
5649 | @@ -1115,6 +1481,48 @@ ifloat: 1 | |
5650 | ildouble: 1 | |
5651 | ldouble: 1 | |
5652 | ||
5653 | +Function: "cos_downward": | |
5654 | +float: 1 | |
5655 | +ifloat: 1 | |
5656 | +ildouble: 2 | |
5657 | +ldouble: 2 | |
5658 | + | |
5659 | +Function: "cos_tonearest": | |
5660 | +float: 1 | |
5661 | +ifloat: 1 | |
5662 | + | |
5663 | +Function: "cos_towardzero": | |
5664 | +float: 1 | |
5665 | +ifloat: 1 | |
5666 | +ildouble: 2 | |
5667 | +ldouble: 2 | |
5668 | + | |
5669 | +Function: "cos_upward": | |
5670 | +float: 2 | |
5671 | +ifloat: 2 | |
5672 | +ildouble: 1 | |
5673 | +ldouble: 1 | |
5674 | + | |
5675 | +Function: "cosh_downward": | |
5676 | +float: 1 | |
5677 | +ifloat: 1 | |
5678 | +ildouble: 1 | |
5679 | +ldouble: 1 | |
5680 | + | |
5681 | +Function: "cosh_tonearest": | |
5682 | +ildouble: 1 | |
5683 | +ldouble: 1 | |
5684 | + | |
5685 | +Function: "cosh_towardzero": | |
5686 | +float: 1 | |
5687 | +ifloat: 1 | |
5688 | +ildouble: 1 | |
5689 | +ldouble: 1 | |
5690 | + | |
5691 | +Function: "cosh_upward": | |
5692 | +ildouble: 1 | |
5693 | +ldouble: 1 | |
5694 | + | |
5695 | Function: Real part of "cpow": | |
5696 | double: 2 | |
5697 | float: 4 | |
5698 | @@ -1162,8 +1570,6 @@ ildouble: 1 | |
5699 | ldouble: 1 | |
5700 | ||
5701 | Function: Real part of "ctan": | |
5702 | -double: 1 | |
5703 | -idouble: 1 | |
5704 | ildouble: 1 | |
5705 | ldouble: 1 | |
5706 | ||
5707 | @@ -1211,6 +1617,24 @@ Function: "exp2": | |
5708 | ildouble: 2 | |
5709 | ldouble: 2 | |
5710 | ||
5711 | +Function: "exp_downward": | |
5712 | +float: 1 | |
5713 | +ifloat: 1 | |
5714 | +ildouble: 1 | |
5715 | +ldouble: 1 | |
5716 | + | |
5717 | +Function: "exp_towardzero": | |
5718 | +float: 1 | |
5719 | +ifloat: 1 | |
5720 | +ildouble: 1 | |
5721 | +ldouble: 1 | |
5722 | + | |
5723 | +Function: "exp_upward": | |
5724 | +float: 1 | |
5725 | +ifloat: 1 | |
5726 | +ildouble: 1 | |
5727 | +ldouble: 1 | |
5728 | + | |
5729 | Function: "expm1": | |
5730 | double: 1 | |
5731 | float: 1 | |
5732 | @@ -1228,10 +1652,10 @@ float: 1 | |
5733 | ifloat: 1 | |
5734 | ||
5735 | Function: "j0": | |
5736 | -double: 3 | |
5737 | -float: 2 | |
5738 | -idouble: 3 | |
5739 | -ifloat: 2 | |
5740 | +double: 2 | |
5741 | +float: 1 | |
5742 | +idouble: 2 | |
5743 | +ifloat: 1 | |
5744 | ildouble: 2 | |
5745 | ldouble: 2 | |
5746 | ||
5747 | @@ -1244,10 +1668,10 @@ ildouble: 4 | |
5748 | ldouble: 4 | |
5749 | ||
5750 | Function: "jn": | |
5751 | -double: 4 | |
5752 | -float: 4 | |
5753 | -idouble: 4 | |
5754 | -ifloat: 4 | |
5755 | +double: 3 | |
5756 | +float: 3 | |
5757 | +idouble: 3 | |
5758 | +ifloat: 3 | |
5759 | ildouble: 4 | |
5760 | ldouble: 4 | |
5761 | ||
5762 | @@ -1277,6 +1701,44 @@ Function: "log2": | |
5763 | ildouble: 1 | |
5764 | ldouble: 1 | |
5765 | ||
5766 | +Function: "pow_downward": | |
5767 | +float: 1 | |
5768 | +ifloat: 1 | |
5769 | + | |
5770 | +Function: "pow_towardzero": | |
5771 | +float: 1 | |
5772 | +ifloat: 1 | |
5773 | + | |
5774 | +Function: "pow_upward": | |
5775 | +float: 1 | |
5776 | +ifloat: 1 | |
5777 | +ildouble: 1 | |
5778 | +ldouble: 1 | |
5779 | + | |
5780 | +Function: "sin_downward": | |
5781 | +float: 1 | |
5782 | +ifloat: 1 | |
5783 | +ildouble: 1 | |
5784 | +ldouble: 1 | |
5785 | + | |
5786 | +Function: "sin_tonearest": | |
5787 | +float: 1 | |
5788 | +ifloat: 1 | |
5789 | +ildouble: 1 | |
5790 | +ldouble: 1 | |
5791 | + | |
5792 | +Function: "sin_towardzero": | |
5793 | +float: 1 | |
5794 | +ifloat: 1 | |
5795 | +ildouble: 2 | |
5796 | +ldouble: 2 | |
5797 | + | |
5798 | +Function: "sin_upward": | |
5799 | +float: 2 | |
5800 | +ifloat: 2 | |
5801 | +ildouble: 1 | |
5802 | +ldouble: 1 | |
5803 | + | |
5804 | Function: "sincos": | |
5805 | double: 1 | |
5806 | float: 1 | |
5807 | @@ -1285,6 +1747,22 @@ ifloat: 1 | |
5808 | ildouble: 1 | |
5809 | ldouble: 1 | |
5810 | ||
5811 | +Function: "sinh_downward": | |
5812 | +float: 1 | |
5813 | +ifloat: 1 | |
5814 | +ildouble: 2 | |
5815 | +ldouble: 2 | |
5816 | + | |
5817 | +Function: "sinh_towardzero": | |
5818 | +float: 1 | |
5819 | +ifloat: 1 | |
5820 | +ildouble: 2 | |
5821 | +ldouble: 2 | |
5822 | + | |
5823 | +Function: "sinh_upward": | |
5824 | +ildouble: 1 | |
5825 | +ldouble: 1 | |
5826 | + | |
5827 | Function: "sqrt": | |
5828 | ildouble: 1 | |
5829 | ldouble: 1 | |
5830 | @@ -1293,6 +1771,24 @@ Function: "tan": | |
5831 | double: 1 | |
5832 | idouble: 1 | |
5833 | ||
5834 | +Function: "tan_downward": | |
5835 | +float: 1 | |
5836 | +ifloat: 1 | |
5837 | +ildouble: 1 | |
5838 | +ldouble: 1 | |
5839 | + | |
5840 | +Function: "tan_towardzero": | |
5841 | +float: 1 | |
5842 | +ifloat: 1 | |
5843 | +ildouble: 1 | |
5844 | +ldouble: 1 | |
5845 | + | |
5846 | +Function: "tan_upward": | |
5847 | +float: 1 | |
5848 | +ifloat: 1 | |
5849 | +ildouble: 1 | |
5850 | +ldouble: 1 | |
5851 | + | |
5852 | Function: "tanh": | |
5853 | ildouble: 1 | |
5854 | ldouble: 1 | |
5855 | diff -Nrup a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps | |
5856 | --- a/sysdeps/x86_64/fpu/libm-test-ulps 2010-05-04 05:27:23.000000000 -0600 | |
5857 | +++ b/sysdeps/x86_64/fpu/libm-test-ulps 2012-08-06 11:02:14.602759422 -0600 | |
5858 | @@ -42,26 +42,13 @@ ldouble: 1 | |
5859 | ||
5860 | # cacos | |
5861 | Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i": | |
5862 | -float: 1 | |
5863 | -ifloat: 1 | |
5864 | ildouble: 2 | |
5865 | ldouble: 2 | |
5866 | ||
5867 | # cacosh | |
5868 | -Test "Real part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
5869 | -double: 1 | |
5870 | -float: 7 | |
5871 | -idouble: 1 | |
5872 | -ifloat: 7 | |
5873 | -ildouble: 6 | |
5874 | -ldouble: 6 | |
5875 | Test "Imaginary part of: cacosh (-2 - 3 i) == 1.9833870299165354323470769028940395 - 2.1414491111159960199416055713254211 i": | |
5876 | -double: 1 | |
5877 | -float: 3 | |
5878 | -idouble: 1 | |
5879 | -ifloat: 3 | |
5880 | -ildouble: 1 | |
5881 | -ldouble: 1 | |
5882 | +float: 1 | |
5883 | +ifloat: 1 | |
5884 | Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": | |
5885 | ildouble: 1 | |
5886 | ldouble: 1 | |
5887 | @@ -75,8 +62,6 @@ ifloat: 1 | |
5888 | ildouble: 2 | |
5889 | ldouble: 2 | |
5890 | Test "Imaginary part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": | |
5891 | -float: 1 | |
5892 | -ifloat: 1 | |
5893 | ildouble: 2 | |
5894 | ldouble: 2 | |
5895 | ||
5896 | @@ -103,21 +88,15 @@ double: 1 | |
5897 | float: 1 | |
5898 | idouble: 1 | |
5899 | ifloat: 1 | |
5900 | -ldouble: 1 | |
5901 | ildouble: 1 | |
5902 | +ldouble: 1 | |
5903 | ||
5904 | # catan | |
5905 | -Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
5906 | -float: 3 | |
5907 | -ifloat: 3 | |
5908 | Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": | |
5909 | double: 1 | |
5910 | float: 1 | |
5911 | idouble: 1 | |
5912 | ifloat: 1 | |
5913 | -Test "Real part of: catan (0.75 + 1.25 i) == 1.10714871779409050301706546017853704 + 0.549306144334054845697622618461262852 i": | |
5914 | -float: 4 | |
5915 | -ifloat: 4 | |
5916 | ||
5917 | # catanh | |
5918 | Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
5919 | @@ -125,15 +104,9 @@ double: 4 | |
5920 | idouble: 4 | |
5921 | ildouble: 1 | |
5922 | ldouble: 1 | |
5923 | -Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": | |
5924 | -float: 4 | |
5925 | -ifloat: 4 | |
5926 | Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
5927 | double: 1 | |
5928 | idouble: 1 | |
5929 | -Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": | |
5930 | -float: 6 | |
5931 | -ifloat: 6 | |
5932 | ||
5933 | # cbrt | |
5934 | Test "cbrt (-0.001) == -0.1": | |
5935 | @@ -152,14 +125,9 @@ ildouble: 1 | |
5936 | ldouble: 1 | |
5937 | ||
5938 | # ccos | |
5939 | -Test "Real part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": | |
5940 | -double: 1 | |
5941 | -idouble: 1 | |
5942 | Test "Imaginary part of: ccos (-2 - 3 i) == -4.18962569096880723013255501961597373 - 9.10922789375533659797919726277886212 i": | |
5943 | float: 1 | |
5944 | ifloat: 1 | |
5945 | -ildouble: 1 | |
5946 | -ldouble: 1 | |
5947 | Test "Real part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": | |
5948 | double: 1 | |
5949 | float: 1 | |
5950 | @@ -168,19 +136,17 @@ ifloat: 1 | |
5951 | ildouble: 1 | |
5952 | ldouble: 1 | |
5953 | Test "Imaginary part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": | |
5954 | -ildouble: 1 | |
5955 | -ldouble: 1 | |
5956 | float: 1 | |
5957 | ifloat: 1 | |
5958 | +ildouble: 1 | |
5959 | +ldouble: 1 | |
5960 | ||
5961 | # ccosh | |
5962 | Test "Real part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": | |
5963 | float: 1 | |
5964 | ifloat: 1 | |
5965 | Test "Imaginary part of: ccosh (-2 - 3 i) == -3.72454550491532256547397070325597253 + 0.511822569987384608834463849801875634 i": | |
5966 | -double: 1 | |
5967 | float: 1 | |
5968 | -idouble: 1 | |
5969 | ifloat: 1 | |
5970 | ildouble: 1 | |
5971 | ldouble: 1 | |
5972 | @@ -205,9 +171,6 @@ ildouble: 1 | |
5973 | ldouble: 1 | |
5974 | ||
5975 | # clog | |
5976 | -Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": | |
5977 | -float: 3 | |
5978 | -ifloat: 3 | |
5979 | Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": | |
5980 | float: 1 | |
5981 | ifloat: 1 | |
5982 | @@ -227,11 +190,7 @@ idouble: 1 | |
5983 | ifloat: 1 | |
5984 | Test "Imaginary part of: clog10 (-2 - 3 i) == 0.556971676153418384603252578971164214 - 0.937554462986374708541507952140189646 i": | |
5985 | double: 1 | |
5986 | -float: 5 | |
5987 | idouble: 1 | |
5988 | -ifloat: 5 | |
5989 | -ildouble: 1 | |
5990 | -ldouble: 1 | |
5991 | Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": | |
5992 | double: 1 | |
5993 | float: 1 | |
5994 | @@ -276,9 +235,7 @@ float: 1 | |
5995 | idouble: 1 | |
5996 | ifloat: 1 | |
5997 | Test "Real part of: clog10 (0.75 + 1.25 i) == 0.163679467193165171449476605077428975 + 0.447486970040493067069984724340855636 i": | |
5998 | -double: 1 | |
5999 | float: 1 | |
6000 | -idouble: 1 | |
6001 | ifloat: 1 | |
6002 | ildouble: 1 | |
6003 | ldouble: 1 | |
6004 | @@ -306,33 +263,164 @@ ifloat: 1 | |
6005 | # cos | |
6006 | Test "cos (M_PI_6l * 2.0) == 0.5": | |
6007 | double: 1 | |
6008 | -float: 1 | |
6009 | idouble: 1 | |
6010 | -ifloat: 1 | |
6011 | Test "cos (M_PI_6l * 4.0) == -0.5": | |
6012 | double: 2 | |
6013 | float: 1 | |
6014 | idouble: 2 | |
6015 | ifloat: 1 | |
6016 | + | |
6017 | +# cos_downward | |
6018 | +Test "cos_downward (1) == 0.5403023058681397174009366074429766037323": | |
6019 | +float: 1 | |
6020 | +ifloat: 1 | |
6021 | ildouble: 1 | |
6022 | ldouble: 1 | |
6023 | -Test "cos (pi/2) == 0": | |
6024 | -double: 1 | |
6025 | +Test "cos_downward (2) == -0.4161468365471423869975682295007621897660": | |
6026 | +float: 1 | |
6027 | +ifloat: 1 | |
6028 | +Test "cos_downward (3) == -0.9899924966004454572715727947312613023937": | |
6029 | +float: 1 | |
6030 | +ifloat: 1 | |
6031 | +Test "cos_downward (4) == -0.6536436208636119146391681830977503814241": | |
6032 | float: 1 | |
6033 | -idouble: 1 | |
6034 | ifloat: 1 | |
6035 | ildouble: 1 | |
6036 | ldouble: 1 | |
6037 | -Test "cos (0.80190127184058835) == 0.69534156199418473": | |
6038 | -double: 1 | |
6039 | -idouble: 1 | |
6040 | +Test "cos_downward (5) == 0.2836621854632262644666391715135573083344": | |
6041 | +float: 1 | |
6042 | +ifloat: 1 | |
6043 | +Test "cos_downward (7) == 0.7539022543433046381411975217191820122183": | |
6044 | +float: 1 | |
6045 | +ifloat: 1 | |
6046 | +ildouble: 1 | |
6047 | +ldouble: 1 | |
6048 | +Test "cos_downward (8) == -0.1455000338086135258688413818311946826093": | |
6049 | +float: 1 | |
6050 | +ifloat: 1 | |
6051 | +ildouble: 1 | |
6052 | +ldouble: 1 | |
6053 | +Test "cos_downward (9) == -0.9111302618846769883682947111811653112463": | |
6054 | +ildouble: 1 | |
6055 | +ldouble: 1 | |
6056 | + | |
6057 | +# cos_tonearest | |
6058 | +Test "cos_tonearest (7) == 0.7539022543433046381411975217191820122183": | |
6059 | +float: 1 | |
6060 | +ifloat: 1 | |
6061 | +Test "cos_tonearest (8) == -0.1455000338086135258688413818311946826093": | |
6062 | +ildouble: 1 | |
6063 | +ldouble: 1 | |
6064 | +Test "cos_tonearest (9) == -0.9111302618846769883682947111811653112463": | |
6065 | +ildouble: 1 | |
6066 | +ldouble: 1 | |
6067 | + | |
6068 | +# cos_towardzero | |
6069 | +Test "cos_towardzero (1) == 0.5403023058681397174009366074429766037323": | |
6070 | +ildouble: 1 | |
6071 | +ldouble: 1 | |
6072 | +Test "cos_towardzero (10) == -0.8390715290764524522588639478240648345199": | |
6073 | +ildouble: 1 | |
6074 | +ldouble: 1 | |
6075 | +Test "cos_towardzero (2) == -0.4161468365471423869975682295007621897660": | |
6076 | +float: 1 | |
6077 | +ifloat: 1 | |
6078 | +ildouble: 1 | |
6079 | +ldouble: 1 | |
6080 | +Test "cos_towardzero (3) == -0.9899924966004454572715727947312613023937": | |
6081 | +float: 1 | |
6082 | +ifloat: 1 | |
6083 | +ildouble: 1 | |
6084 | +ldouble: 1 | |
6085 | +Test "cos_towardzero (5) == 0.2836621854632262644666391715135573083344": | |
6086 | +float: 1 | |
6087 | +ifloat: 1 | |
6088 | +Test "cos_towardzero (7) == 0.7539022543433046381411975217191820122183": | |
6089 | +float: 1 | |
6090 | +ifloat: 1 | |
6091 | +ildouble: 1 | |
6092 | +ldouble: 1 | |
6093 | +Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093": | |
6094 | +float: 1 | |
6095 | +ifloat: 1 | |
6096 | + | |
6097 | +# cos_upward | |
6098 | +Test "cos_upward (10) == -0.8390715290764524522588639478240648345199": | |
6099 | +float: 1 | |
6100 | +ifloat: 1 | |
6101 | +ildouble: 1 | |
6102 | +ldouble: 1 | |
6103 | +Test "cos_upward (2) == -0.4161468365471423869975682295007621897660": | |
6104 | +ildouble: 1 | |
6105 | +ldouble: 1 | |
6106 | +Test "cos_upward (3) == -0.9899924966004454572715727947312613023937": | |
6107 | +ildouble: 1 | |
6108 | +ldouble: 1 | |
6109 | +Test "cos_upward (5) == 0.2836621854632262644666391715135573083344": | |
6110 | +ildouble: 1 | |
6111 | +ldouble: 1 | |
6112 | +Test "cos_upward (6) == 0.9601702866503660205456522979229244054519": | |
6113 | +float: 1 | |
6114 | +ifloat: 1 | |
6115 | +ildouble: 1 | |
6116 | +ldouble: 1 | |
6117 | +Test "cos_upward (7) == 0.7539022543433046381411975217191820122183": | |
6118 | +float: 1 | |
6119 | +ifloat: 1 | |
6120 | +Test "cos_upward (9) == -0.9111302618846769883682947111811653112463": | |
6121 | +float: 2 | |
6122 | +ifloat: 2 | |
6123 | + | |
6124 | +# cosh_downward | |
6125 | +Test "cosh_downward (22) == 1792456423.065795780980053377632656584997": | |
6126 | +float: 1 | |
6127 | +ifloat: 1 | |
6128 | +ildouble: 2 | |
6129 | +ldouble: 2 | |
6130 | +Test "cosh_downward (23) == 4872401723.124451300068625740569997090344": | |
6131 | +float: 1 | |
6132 | +ifloat: 1 | |
6133 | +ildouble: 1 | |
6134 | +ldouble: 1 | |
6135 | +Test "cosh_downward (24) == 13244561064.92173614708845674912733665919": | |
6136 | +float: 1 | |
6137 | +ifloat: 1 | |
6138 | +ildouble: 1 | |
6139 | +ldouble: 1 | |
6140 | + | |
6141 | +# cosh_tonearest | |
6142 | +Test "cosh_tonearest (22) == 1792456423.065795780980053377632656584997": | |
6143 | +ildouble: 1 | |
6144 | +ldouble: 1 | |
6145 | + | |
6146 | +# cosh_towardzero | |
6147 | +Test "cosh_towardzero (22) == 1792456423.065795780980053377632656584997": | |
6148 | +float: 1 | |
6149 | +ifloat: 1 | |
6150 | +ildouble: 2 | |
6151 | +ldouble: 2 | |
6152 | +Test "cosh_towardzero (23) == 4872401723.124451300068625740569997090344": | |
6153 | +float: 1 | |
6154 | +ifloat: 1 | |
6155 | +ildouble: 1 | |
6156 | +ldouble: 1 | |
6157 | +Test "cosh_towardzero (24) == 13244561064.92173614708845674912733665919": | |
6158 | +float: 1 | |
6159 | +ifloat: 1 | |
6160 | +ildouble: 1 | |
6161 | +ldouble: 1 | |
6162 | + | |
6163 | +# cosh_upward | |
6164 | +Test "cosh_upward (23) == 4872401723.124451300068625740569997090344": | |
6165 | +ildouble: 1 | |
6166 | +ldouble: 1 | |
6167 | ||
6168 | # cpow | |
6169 | Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": | |
6170 | float: 1 | |
6171 | ifloat: 1 | |
6172 | -ldouble: 1 | |
6173 | ildouble: 1 | |
6174 | +ldouble: 1 | |
6175 | Test "Imaginary part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": | |
6176 | float: 1 | |
6177 | ifloat: 1 | |
6178 | @@ -363,9 +451,9 @@ ildouble: 1 | |
6179 | ldouble: 1 | |
6180 | Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": | |
6181 | double: 1 | |
6182 | -float: 5 | |
6183 | +float: 4 | |
6184 | idouble: 1 | |
6185 | -ifloat: 5 | |
6186 | +ifloat: 4 | |
6187 | Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": | |
6188 | float: 2 | |
6189 | ifloat: 2 | |
6190 | @@ -383,22 +471,11 @@ ldouble: 1 | |
6191 | Test "Real part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": | |
6192 | ildouble: 1 | |
6193 | ldouble: 1 | |
6194 | -Test "Imaginary part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": | |
6195 | -float: 1 | |
6196 | -ifloat: 1 | |
6197 | -Test "Imaginary part of: csin (-2 - 3 i) == -9.15449914691142957346729954460983256 + 4.16890695996656435075481305885375484 i": | |
6198 | -double: 1 | |
6199 | -idouble: 1 | |
6200 | ||
6201 | # csinh | |
6202 | -Test "Real part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": | |
6203 | -double: 1 | |
6204 | -idouble: 1 | |
6205 | Test "Imaginary part of: csinh (-2 - 3 i) == 3.59056458998577995201256544779481679 - 0.530921086248519805267040090660676560 i": | |
6206 | double: 1 | |
6207 | idouble: 1 | |
6208 | -ildouble: 2 | |
6209 | -ldouble: 2 | |
6210 | Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": | |
6211 | float: 1 | |
6212 | ifloat: 1 | |
6213 | @@ -418,37 +495,31 @@ ifloat: 1 | |
6214 | ||
6215 | # ctan | |
6216 | Test "Real part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
6217 | -double: 1 | |
6218 | -idouble: 1 | |
6219 | -ildouble: 439 | |
6220 | -ldouble: 439 | |
6221 | +ildouble: 1 | |
6222 | +ldouble: 1 | |
6223 | Test "Imaginary part of: ctan (-2 - 3 i) == 0.376402564150424829275122113032269084e-2 - 1.00323862735360980144635859782192726 i": | |
6224 | -float: 1 | |
6225 | -ifloat: 1 | |
6226 | -ildouble: 2 | |
6227 | -ldouble: 2 | |
6228 | +ildouble: 1 | |
6229 | +ldouble: 1 | |
6230 | Test "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": | |
6231 | ildouble: 1 | |
6232 | ldouble: 1 | |
6233 | Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": | |
6234 | double: 1 | |
6235 | -float: 1 | |
6236 | idouble: 1 | |
6237 | -ifloat: 1 | |
6238 | ildouble: 3 | |
6239 | ldouble: 3 | |
6240 | ||
6241 | # ctanh | |
6242 | Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": | |
6243 | -float: 2 | |
6244 | -ifloat: 2 | |
6245 | -ildouble: 5 | |
6246 | -ldouble: 5 | |
6247 | double: 1 | |
6248 | +float: 2 | |
6249 | idouble: 1 | |
6250 | +ifloat: 2 | |
6251 | +ildouble: 3 | |
6252 | +ldouble: 3 | |
6253 | Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i": | |
6254 | -ildouble: 25 | |
6255 | -ldouble: 25 | |
6256 | +ildouble: 1 | |
6257 | +ldouble: 1 | |
6258 | Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": | |
6259 | float: 1 | |
6260 | ifloat: 1 | |
6261 | @@ -456,10 +527,10 @@ Test "Real part of: ctanh (0.75 + 1.25 i | |
6262 | double: 1 | |
6263 | idouble: 1 | |
6264 | Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": | |
6265 | -ildouble: 1 | |
6266 | -ldouble: 1 | |
6267 | double: 1 | |
6268 | idouble: 1 | |
6269 | +ildouble: 1 | |
6270 | +ldouble: 1 | |
6271 | ||
6272 | # erf | |
6273 | Test "erf (1.25) == 0.922900128256458230136523481197281140": | |
6274 | @@ -481,26 +552,61 @@ ldouble: 1 | |
6275 | ||
6276 | # exp10 | |
6277 | Test "exp10 (-1) == 0.1": | |
6278 | -ildouble: 1 | |
6279 | -ldouble: 1 | |
6280 | -float: 1 | |
6281 | -ifloat: 1 | |
6282 | double: 2 | |
6283 | -idouble: 2 | |
6284 | -Test "exp10 (0.75) == 5.62341325190349080394951039776481231": | |
6285 | -ildouble: 2 | |
6286 | -ldouble: 2 | |
6287 | float: 1 | |
6288 | +idouble: 2 | |
6289 | ifloat: 1 | |
6290 | +ildouble: 1 | |
6291 | +ldouble: 1 | |
6292 | +Test "exp10 (0.75) == 5.62341325190349080394951039776481231": | |
6293 | double: 1 | |
6294 | +float: 1 | |
6295 | idouble: 1 | |
6296 | +ifloat: 1 | |
6297 | +ildouble: 1 | |
6298 | +ldouble: 1 | |
6299 | Test "exp10 (3) == 1000": | |
6300 | -ildouble: 8 | |
6301 | -ldouble: 8 | |
6302 | -float: 2 | |
6303 | -ifloat: 2 | |
6304 | double: 6 | |
6305 | +float: 2 | |
6306 | idouble: 6 | |
6307 | +ifloat: 2 | |
6308 | +ildouble: 3 | |
6309 | +ldouble: 3 | |
6310 | + | |
6311 | +# exp_downward | |
6312 | +Test "exp_downward (1) == e": | |
6313 | +ildouble: 1 | |
6314 | +ldouble: 1 | |
6315 | +Test "exp_downward (2) == e^2": | |
6316 | +float: 1 | |
6317 | +ifloat: 1 | |
6318 | +ildouble: 2 | |
6319 | +ldouble: 2 | |
6320 | +Test "exp_downward (3) == e^3": | |
6321 | +float: 1 | |
6322 | +ifloat: 1 | |
6323 | +ildouble: 1 | |
6324 | +ldouble: 1 | |
6325 | + | |
6326 | +# exp_towardzero | |
6327 | +Test "exp_towardzero (1) == e": | |
6328 | +ildouble: 1 | |
6329 | +ldouble: 1 | |
6330 | +Test "exp_towardzero (2) == e^2": | |
6331 | +float: 1 | |
6332 | +ifloat: 1 | |
6333 | +ildouble: 2 | |
6334 | +ldouble: 2 | |
6335 | +Test "exp_towardzero (3) == e^3": | |
6336 | +float: 1 | |
6337 | +ifloat: 1 | |
6338 | +ildouble: 1 | |
6339 | +ldouble: 1 | |
6340 | + | |
6341 | +# exp_upward | |
6342 | +Test "exp_upward (1) == e": | |
6343 | +float: 1 | |
6344 | +ifloat: 1 | |
6345 | ||
6346 | # expm1 | |
6347 | Test "expm1 (0.75) == 1.11700001661267466854536981983709561": | |
6348 | @@ -570,9 +676,7 @@ ifloat: 1 | |
6349 | ildouble: 1 | |
6350 | ldouble: 1 | |
6351 | Test "j0 (8.0) == 0.171650807137553906090869407851972001": | |
6352 | -double: 2 | |
6353 | float: 1 | |
6354 | -idouble: 2 | |
6355 | ifloat: 1 | |
6356 | ||
6357 | # j1 | |
6358 | @@ -617,9 +721,7 @@ ifloat: 1 | |
6359 | ildouble: 1 | |
6360 | ldouble: 1 | |
6361 | Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": | |
6362 | -double: 2 | |
6363 | float: 1 | |
6364 | -idouble: 2 | |
6365 | ifloat: 1 | |
6366 | Test "jn (1, 10.0) == 0.0434727461688614366697487680258592883": | |
6367 | float: 2 | |
6368 | @@ -714,12 +816,12 @@ ldouble: 1 | |
6369 | ||
6370 | # log10 | |
6371 | Test "log10 (0.75) == -0.124938736608299953132449886193870744": | |
6372 | -ildouble: 1 | |
6373 | -ldouble: 1 | |
6374 | -float: 2 | |
6375 | -ifloat: 2 | |
6376 | double: 1 | |
6377 | +float: 2 | |
6378 | idouble: 1 | |
6379 | +ifloat: 2 | |
6380 | +ildouble: 1 | |
6381 | +ldouble: 1 | |
6382 | Test "log10 (e) == log10(e)": | |
6383 | float: 1 | |
6384 | ifloat: 1 | |
6385 | @@ -731,37 +833,309 @@ Test "log1p (-0.25) == -0.28768207245178 | |
6386 | float: 1 | |
6387 | ifloat: 1 | |
6388 | ||
6389 | -# sincos | |
6390 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
6391 | -double: 1 | |
6392 | -float: 1 | |
6393 | -idouble: 1 | |
6394 | -ifloat: 1 | |
6395 | -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
6396 | -double: 1 | |
6397 | -float: 1 | |
6398 | -idouble: 1 | |
6399 | -ifloat: 1 | |
6400 | +# pow_downward | |
6401 | +Test "pow_downward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
6402 | ildouble: 1 | |
6403 | ldouble: 1 | |
6404 | -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": | |
6405 | -double: 1 | |
6406 | +Test "pow_downward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
6407 | float: 1 | |
6408 | -idouble: 1 | |
6409 | ifloat: 1 | |
6410 | ildouble: 1 | |
6411 | ldouble: 1 | |
6412 | -Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
6413 | + | |
6414 | +# pow_towardzero | |
6415 | +Test "pow_towardzero (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
6416 | +ildouble: 1 | |
6417 | +ldouble: 1 | |
6418 | +Test "pow_towardzero (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
6419 | +float: 1 | |
6420 | +ifloat: 1 | |
6421 | +ildouble: 1 | |
6422 | +ldouble: 1 | |
6423 | + | |
6424 | +# pow_upward | |
6425 | +Test "pow_upward (1.0625, 1.125) == 1.070582293028761362162622578677070098674": | |
6426 | +float: 1 | |
6427 | +ifloat: 1 | |
6428 | +ildouble: 1 | |
6429 | +ldouble: 1 | |
6430 | +Test "pow_upward (1.5, 1.03125) == 1.519127098714743184071644334163037684948": | |
6431 | +ildouble: 1 | |
6432 | +ldouble: 1 | |
6433 | + | |
6434 | +# sin_downward | |
6435 | +Test "sin_downward (1) == 0.8414709848078965066525023216302989996226": | |
6436 | +ildouble: 1 | |
6437 | +ldouble: 1 | |
6438 | +Test "sin_downward (10) == -0.5440211108893698134047476618513772816836": | |
6439 | +float: 1 | |
6440 | +ifloat: 1 | |
6441 | +ildouble: 1 | |
6442 | +ldouble: 1 | |
6443 | +Test "sin_downward (3) == 0.1411200080598672221007448028081102798469": | |
6444 | +float: 1 | |
6445 | +ifloat: 1 | |
6446 | +ildouble: 1 | |
6447 | +ldouble: 1 | |
6448 | +Test "sin_downward (4) == -0.7568024953079282513726390945118290941359": | |
6449 | +ildouble: 1 | |
6450 | +ldouble: 1 | |
6451 | +Test "sin_downward (5) == -0.9589242746631384688931544061559939733525": | |
6452 | +float: 1 | |
6453 | +ifloat: 1 | |
6454 | +ildouble: 1 | |
6455 | +ldouble: 1 | |
6456 | +Test "sin_downward (6) == -0.2794154981989258728115554466118947596280": | |
6457 | +float: 1 | |
6458 | +ifloat: 1 | |
6459 | +Test "sin_downward (7) == 0.6569865987187890903969990915936351779369": | |
6460 | +ildouble: 1 | |
6461 | +ldouble: 1 | |
6462 | +Test "sin_downward (8) == 0.9893582466233817778081235982452886721164": | |
6463 | +ildouble: 1 | |
6464 | +ldouble: 1 | |
6465 | +Test "sin_downward (9) == 0.4121184852417565697562725663524351793439": | |
6466 | +ildouble: 1 | |
6467 | +ldouble: 1 | |
6468 | + | |
6469 | +# sin_tonearest | |
6470 | +Test "sin_tonearest (1) == 0.8414709848078965066525023216302989996226": | |
6471 | +float: 1 | |
6472 | +ifloat: 1 | |
6473 | +Test "sin_tonearest (10) == -0.5440211108893698134047476618513772816836": | |
6474 | +ildouble: 1 | |
6475 | +ldouble: 1 | |
6476 | +Test "sin_tonearest (4) == -0.7568024953079282513726390945118290941359": | |
6477 | +ildouble: 1 | |
6478 | +ldouble: 1 | |
6479 | +Test "sin_tonearest (9) == 0.4121184852417565697562725663524351793439": | |
6480 | +ildouble: 1 | |
6481 | +ldouble: 1 | |
6482 | + | |
6483 | +# sin_towardzero | |
6484 | +Test "sin_towardzero (1) == 0.8414709848078965066525023216302989996226": | |
6485 | float: 1 | |
6486 | ifloat: 1 | |
6487 | -Test "sincos (0.80190127184058835, &sin_res, &cos_res) puts 0.69534156199418473 in cos_res": | |
6488 | +ildouble: 1 | |
6489 | +ldouble: 1 | |
6490 | +Test "sin_towardzero (10) == -0.5440211108893698134047476618513772816836": | |
6491 | +float: 1 | |
6492 | +ifloat: 1 | |
6493 | +Test "sin_towardzero (3) == 0.1411200080598672221007448028081102798469": | |
6494 | +ildouble: 1 | |
6495 | +ldouble: 1 | |
6496 | +Test "sin_towardzero (4) == -0.7568024953079282513726390945118290941359": | |
6497 | +float: 1 | |
6498 | +ifloat: 1 | |
6499 | +Test "sin_towardzero (5) == -0.9589242746631384688931544061559939733525": | |
6500 | +float: 1 | |
6501 | +ifloat: 1 | |
6502 | +Test "sin_towardzero (6) == -0.2794154981989258728115554466118947596280": | |
6503 | +ildouble: 1 | |
6504 | +ldouble: 1 | |
6505 | +Test "sin_towardzero (7) == 0.6569865987187890903969990915936351779369": | |
6506 | +ildouble: 1 | |
6507 | +ldouble: 1 | |
6508 | +Test "sin_towardzero (8) == 0.9893582466233817778081235982452886721164": | |
6509 | +ildouble: 1 | |
6510 | +ldouble: 1 | |
6511 | +Test "sin_towardzero (9) == 0.4121184852417565697562725663524351793439": | |
6512 | +float: 1 | |
6513 | +ifloat: 1 | |
6514 | +ildouble: 1 | |
6515 | +ldouble: 1 | |
6516 | + | |
6517 | +# sin_upward | |
6518 | +Test "sin_upward (1) == 0.8414709848078965066525023216302989996226": | |
6519 | +float: 1 | |
6520 | +ifloat: 1 | |
6521 | +Test "sin_upward (2) == 0.9092974268256816953960198659117448427023": | |
6522 | +float: 2 | |
6523 | +ifloat: 2 | |
6524 | +ildouble: 1 | |
6525 | +ldouble: 1 | |
6526 | +Test "sin_upward (4) == -0.7568024953079282513726390945118290941359": | |
6527 | +float: 1 | |
6528 | +ifloat: 1 | |
6529 | +Test "sin_upward (6) == -0.2794154981989258728115554466118947596280": | |
6530 | +ildouble: 1 | |
6531 | +ldouble: 1 | |
6532 | +Test "sin_upward (9) == 0.4121184852417565697562725663524351793439": | |
6533 | +float: 1 | |
6534 | +ifloat: 1 | |
6535 | + | |
6536 | +# sincos | |
6537 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": | |
6538 | double: 1 | |
6539 | idouble: 1 | |
6540 | - | |
6541 | -# tan | |
6542 | -Test "tan (pi/4) == 1": | |
6543 | +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": | |
6544 | double: 1 | |
6545 | +float: 1 | |
6546 | idouble: 1 | |
6547 | +ifloat: 1 | |
6548 | +ildouble: 1 | |
6549 | +ldouble: 1 | |
6550 | +Test "sincos (pi/6, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in cos_res": | |
6551 | +float: 1 | |
6552 | +ifloat: 1 | |
6553 | + | |
6554 | +# sinh_downward | |
6555 | +Test "sinh_downward (22) == 1792456423.065795780701106568345764104225": | |
6556 | +float: 1 | |
6557 | +ifloat: 1 | |
6558 | +ildouble: 4 | |
6559 | +ldouble: 4 | |
6560 | +Test "sinh_downward (23) == 4872401723.124451299966006944252978187305": | |
6561 | +float: 1 | |
6562 | +ifloat: 1 | |
6563 | +Test "sinh_downward (24) == 13244561064.92173614705070540368454568168": | |
6564 | +float: 1 | |
6565 | +ifloat: 1 | |
6566 | +ildouble: 5 | |
6567 | +ldouble: 5 | |
6568 | + | |
6569 | +# sinh_tonearest | |
6570 | +Test "sinh_tonearest (22) == 1792456423.065795780701106568345764104225": | |
6571 | +ildouble: 3 | |
6572 | +ldouble: 3 | |
6573 | +Test "sinh_tonearest (23) == 4872401723.124451299966006944252978187305": | |
6574 | +ildouble: 1 | |
6575 | +ldouble: 1 | |
6576 | +Test "sinh_tonearest (24) == 13244561064.92173614705070540368454568168": | |
6577 | +ildouble: 6 | |
6578 | +ldouble: 6 | |
6579 | + | |
6580 | +# sinh_towardzero | |
6581 | +Test "sinh_towardzero (22) == 1792456423.065795780701106568345764104225": | |
6582 | +float: 1 | |
6583 | +ifloat: 1 | |
6584 | +ildouble: 4 | |
6585 | +ldouble: 4 | |
6586 | +Test "sinh_towardzero (23) == 4872401723.124451299966006944252978187305": | |
6587 | +float: 1 | |
6588 | +ifloat: 1 | |
6589 | +Test "sinh_towardzero (24) == 13244561064.92173614705070540368454568168": | |
6590 | +float: 1 | |
6591 | +ifloat: 1 | |
6592 | +ildouble: 5 | |
6593 | +ldouble: 5 | |
6594 | + | |
6595 | +# sinh_upward | |
6596 | +Test "sinh_upward (22) == 1792456423.065795780701106568345764104225": | |
6597 | +ildouble: 16 | |
6598 | +ldouble: 16 | |
6599 | +Test "sinh_upward (23) == 4872401723.124451299966006944252978187305": | |
6600 | +ildouble: 27 | |
6601 | +ldouble: 27 | |
6602 | +Test "sinh_upward (24) == 13244561064.92173614705070540368454568168": | |
6603 | +ildouble: 7 | |
6604 | +ldouble: 7 | |
6605 | + | |
6606 | +# tan_downward | |
6607 | +Test "tan_downward (1) == 1.5574077246549022305069748074583601730873": | |
6608 | +float: 1 | |
6609 | +ifloat: 1 | |
6610 | +Test "tan_downward (10) == 0.6483608274590866712591249330098086768169": | |
6611 | +float: 1 | |
6612 | +ifloat: 1 | |
6613 | +Test "tan_downward (2) == -2.1850398632615189916433061023136825434320": | |
6614 | +float: 1 | |
6615 | +ifloat: 1 | |
6616 | +Test "tan_downward (4) == 1.1578212823495775831373424182673239231198": | |
6617 | +ildouble: 1 | |
6618 | +ldouble: 1 | |
6619 | +Test "tan_downward (5) == -3.3805150062465856369827058794473439087096": | |
6620 | +ildouble: 1 | |
6621 | +ldouble: 1 | |
6622 | +Test "tan_downward (6) == -0.2910061913847491570536995888681755428312": | |
6623 | +float: 1 | |
6624 | +ifloat: 1 | |
6625 | +Test "tan_downward (8) == -6.7997114552203786999252627596086333648814": | |
6626 | +float: 1 | |
6627 | +ifloat: 1 | |
6628 | +ildouble: 1 | |
6629 | +ldouble: 1 | |
6630 | +Test "tan_downward (9) == -0.4523156594418098405903708757987855343087": | |
6631 | +float: 1 | |
6632 | +ifloat: 1 | |
6633 | + | |
6634 | +# tan_tonearest | |
6635 | +Test "tan_tonearest (6) == -0.2910061913847491570536995888681755428312": | |
6636 | +ildouble: 1 | |
6637 | +ldouble: 1 | |
6638 | +Test "tan_tonearest (8) == -6.7997114552203786999252627596086333648814": | |
6639 | +ildouble: 1 | |
6640 | +ldouble: 1 | |
6641 | +Test "tan_tonearest (9) == -0.4523156594418098405903708757987855343087": | |
6642 | +ildouble: 1 | |
6643 | +ldouble: 1 | |
6644 | + | |
6645 | +# tan_towardzero | |
6646 | +Test "tan_towardzero (10) == 0.6483608274590866712591249330098086768169": | |
6647 | +float: 1 | |
6648 | +ifloat: 1 | |
6649 | +Test "tan_towardzero (2) == -2.1850398632615189916433061023136825434320": | |
6650 | +ildouble: 1 | |
6651 | +ldouble: 1 | |
6652 | +Test "tan_towardzero (3) == -0.1425465430742778052956354105339134932261": | |
6653 | +float: 1 | |
6654 | +ifloat: 1 | |
6655 | +ildouble: 1 | |
6656 | +ldouble: 1 | |
6657 | +Test "tan_towardzero (4) == 1.1578212823495775831373424182673239231198": | |
6658 | +float: 1 | |
6659 | +ifloat: 1 | |
6660 | +ildouble: 1 | |
6661 | +ldouble: 1 | |
6662 | +Test "tan_towardzero (5) == -3.3805150062465856369827058794473439087096": | |
6663 | +float: 1 | |
6664 | +ifloat: 1 | |
6665 | +Test "tan_towardzero (6) == -0.2910061913847491570536995888681755428312": | |
6666 | +ildouble: 1 | |
6667 | +ldouble: 1 | |
6668 | +Test "tan_towardzero (8) == -6.7997114552203786999252627596086333648814": | |
6669 | +ildouble: 2 | |
6670 | +ldouble: 2 | |
6671 | +Test "tan_towardzero (9) == -0.4523156594418098405903708757987855343087": | |
6672 | +float: 1 | |
6673 | +ifloat: 1 | |
6674 | +ildouble: 1 | |
6675 | +ldouble: 1 | |
6676 | + | |
6677 | +# tan_upward | |
6678 | +Test "tan_upward (1) == 1.5574077246549022305069748074583601730873": | |
6679 | +float: 1 | |
6680 | +ifloat: 1 | |
6681 | +ildouble: 1 | |
6682 | +ldouble: 1 | |
6683 | +Test "tan_upward (10) == 0.6483608274590866712591249330098086768169": | |
6684 | +float: 1 | |
6685 | +ifloat: 1 | |
6686 | +ildouble: 1 | |
6687 | +ldouble: 1 | |
6688 | +Test "tan_upward (2) == -2.1850398632615189916433061023136825434320": | |
6689 | +ildouble: 1 | |
6690 | +ldouble: 1 | |
6691 | +Test "tan_upward (3) == -0.1425465430742778052956354105339134932261": | |
6692 | +float: 1 | |
6693 | +ifloat: 1 | |
6694 | +ildouble: 1 | |
6695 | +ldouble: 1 | |
6696 | +Test "tan_upward (5) == -3.3805150062465856369827058794473439087096": | |
6697 | +float: 1 | |
6698 | +ifloat: 1 | |
6699 | +Test "tan_upward (6) == -0.2910061913847491570536995888681755428312": | |
6700 | +ildouble: 1 | |
6701 | +ldouble: 1 | |
6702 | +Test "tan_upward (7) == 0.8714479827243187364564508896003135663222": | |
6703 | +ildouble: 1 | |
6704 | +ldouble: 1 | |
6705 | +Test "tan_upward (8) == -6.7997114552203786999252627596086333648814": | |
6706 | +ildouble: 2 | |
6707 | +ldouble: 2 | |
6708 | +Test "tan_upward (9) == -0.4523156594418098405903708757987855343087": | |
6709 | +ildouble: 1 | |
6710 | +ldouble: 1 | |
6711 | ||
6712 | # tgamma | |
6713 | Test "tgamma (-0.5) == -2 sqrt (pi)": | |
6714 | @@ -779,9 +1153,6 @@ double: 1 | |
6715 | float: 1 | |
6716 | idouble: 1 | |
6717 | ifloat: 1 | |
6718 | -Test "tgamma (4) == 6": | |
6719 | -ildouble: 1 | |
6720 | -ldouble: 1 | |
6721 | ||
6722 | # y0 | |
6723 | Test "y0 (0.125) == -1.38968062514384052915582277745018693": | |
6724 | @@ -960,27 +1331,17 @@ ildouble: 1 | |
6725 | ldouble: 1 | |
6726 | ||
6727 | Function: Imaginary part of "cacos": | |
6728 | -float: 1 | |
6729 | -ifloat: 1 | |
6730 | ildouble: 2 | |
6731 | ldouble: 2 | |
6732 | ||
6733 | Function: Real part of "cacosh": | |
6734 | -double: 1 | |
6735 | -float: 7 | |
6736 | -idouble: 1 | |
6737 | -ifloat: 7 | |
6738 | -ildouble: 6 | |
6739 | -ldouble: 6 | |
6740 | - | |
6741 | -Function: Imaginary part of "cacosh": | |
6742 | -double: 1 | |
6743 | -float: 3 | |
6744 | -idouble: 1 | |
6745 | -ifloat: 3 | |
6746 | ildouble: 1 | |
6747 | ldouble: 1 | |
6748 | ||
6749 | +Function: Imaginary part of "cacosh": | |
6750 | +float: 1 | |
6751 | +ifloat: 1 | |
6752 | + | |
6753 | Function: Real part of "casin": | |
6754 | double: 1 | |
6755 | float: 1 | |
6756 | @@ -990,8 +1351,6 @@ ildouble: 2 | |
6757 | ldouble: 2 | |
6758 | ||
6759 | Function: Imaginary part of "casin": | |
6760 | -float: 1 | |
6761 | -ifloat: 1 | |
6762 | ildouble: 2 | |
6763 | ldouble: 2 | |
6764 | ||
6765 | @@ -1011,10 +1370,6 @@ ifloat: 6 | |
6766 | ildouble: 5 | |
6767 | ldouble: 5 | |
6768 | ||
6769 | -Function: Real part of "catan": | |
6770 | -float: 4 | |
6771 | -ifloat: 4 | |
6772 | - | |
6773 | Function: Imaginary part of "catan": | |
6774 | double: 1 | |
6775 | float: 1 | |
6776 | @@ -1027,10 +1382,6 @@ idouble: 4 | |
6777 | ildouble: 1 | |
6778 | ldouble: 1 | |
6779 | ||
6780 | -Function: Imaginary part of "catanh": | |
6781 | -float: 6 | |
6782 | -ifloat: 6 | |
6783 | - | |
6784 | Function: "cbrt": | |
6785 | double: 1 | |
6786 | idouble: 1 | |
6787 | @@ -1058,9 +1409,7 @@ idouble: 1 | |
6788 | ifloat: 1 | |
6789 | ||
6790 | Function: Imaginary part of "ccosh": | |
6791 | -double: 1 | |
6792 | float: 1 | |
6793 | -idouble: 1 | |
6794 | ifloat: 1 | |
6795 | ildouble: 1 | |
6796 | ldouble: 1 | |
6797 | @@ -1081,25 +1430,17 @@ ifloat: 1 | |
6798 | ildouble: 1 | |
6799 | ldouble: 1 | |
6800 | ||
6801 | -Function: Imaginary part of "clog": | |
6802 | -float: 3 | |
6803 | -ifloat: 3 | |
6804 | - | |
6805 | Function: Real part of "clog10": | |
6806 | -double: 1 | |
6807 | float: 1 | |
6808 | -idouble: 1 | |
6809 | ifloat: 1 | |
6810 | ildouble: 1 | |
6811 | ldouble: 1 | |
6812 | ||
6813 | Function: Imaginary part of "clog10": | |
6814 | double: 1 | |
6815 | -float: 5 | |
6816 | +float: 1 | |
6817 | idouble: 1 | |
6818 | -ifloat: 5 | |
6819 | -ildouble: 1 | |
6820 | -ldouble: 1 | |
6821 | +ifloat: 1 | |
6822 | ||
6823 | Function: "cos": | |
6824 | double: 2 | |
6825 | @@ -1109,11 +1450,55 @@ ifloat: 1 | |
6826 | ildouble: 1 | |
6827 | ldouble: 1 | |
6828 | ||
6829 | +Function: "cos_downward": | |
6830 | +float: 1 | |
6831 | +ifloat: 1 | |
6832 | +ildouble: 1 | |
6833 | +ldouble: 1 | |
6834 | + | |
6835 | +Function: "cos_tonearest": | |
6836 | +float: 1 | |
6837 | +ifloat: 1 | |
6838 | +ildouble: 1 | |
6839 | +ldouble: 1 | |
6840 | + | |
6841 | +Function: "cos_towardzero": | |
6842 | +float: 1 | |
6843 | +ifloat: 1 | |
6844 | +ildouble: 1 | |
6845 | +ldouble: 1 | |
6846 | + | |
6847 | +Function: "cos_upward": | |
6848 | +float: 2 | |
6849 | +ifloat: 2 | |
6850 | +ildouble: 1 | |
6851 | +ldouble: 1 | |
6852 | + | |
6853 | +Function: "cosh_downward": | |
6854 | +float: 1 | |
6855 | +ifloat: 1 | |
6856 | +ildouble: 2 | |
6857 | +ldouble: 2 | |
6858 | + | |
6859 | +Function: "cosh_tonearest": | |
6860 | +ildouble: 1 | |
6861 | +ldouble: 1 | |
6862 | + | |
6863 | +Function: "cosh_towardzero": | |
6864 | +float: 1 | |
6865 | +ifloat: 1 | |
6866 | +ildouble: 2 | |
6867 | +ldouble: 2 | |
6868 | + | |
6869 | +Function: "cosh_upward": | |
6870 | +ildouble: 1 | |
6871 | +ldouble: 1 | |
6872 | + | |
6873 | Function: Real part of "cpow": | |
6874 | double: 2 | |
6875 | -float: 5 | |
6876 | +float: 4 | |
6877 | idouble: 2 | |
6878 | -ifloat: 5 | |
6879 | +ifloat: 4 | |
6880 | ildouble: 5 | |
6881 | ldouble: 5 | |
6882 | ||
6883 | @@ -1129,16 +1514,8 @@ Function: Real part of "csin": | |
6884 | ildouble: 1 | |
6885 | ldouble: 1 | |
6886 | ||
6887 | -Function: Imaginary part of "csin": | |
6888 | -double: 1 | |
6889 | -float: 1 | |
6890 | -idouble: 1 | |
6891 | -ifloat: 1 | |
6892 | - | |
6893 | Function: Real part of "csinh": | |
6894 | -double: 1 | |
6895 | float: 1 | |
6896 | -idouble: 1 | |
6897 | ifloat: 1 | |
6898 | ildouble: 1 | |
6899 | ldouble: 1 | |
6900 | @@ -1148,24 +1525,18 @@ double: 1 | |
6901 | float: 1 | |
6902 | idouble: 1 | |
6903 | ifloat: 1 | |
6904 | -ildouble: 2 | |
6905 | -ldouble: 2 | |
6906 | ||
6907 | Function: Real part of "csqrt": | |
6908 | float: 1 | |
6909 | ifloat: 1 | |
6910 | ||
6911 | Function: Real part of "ctan": | |
6912 | -double: 1 | |
6913 | -idouble: 1 | |
6914 | -ildouble: 439 | |
6915 | -ldouble: 439 | |
6916 | +ildouble: 1 | |
6917 | +ldouble: 1 | |
6918 | ||
6919 | Function: Imaginary part of "ctan": | |
6920 | double: 1 | |
6921 | -float: 1 | |
6922 | idouble: 1 | |
6923 | -ifloat: 1 | |
6924 | ildouble: 3 | |
6925 | ldouble: 3 | |
6926 | ||
6927 | @@ -1174,16 +1545,16 @@ double: 1 | |
6928 | float: 2 | |
6929 | idouble: 1 | |
6930 | ifloat: 2 | |
6931 | -ildouble: 5 | |
6932 | -ldouble: 5 | |
6933 | +ildouble: 3 | |
6934 | +ldouble: 3 | |
6935 | ||
6936 | Function: Imaginary part of "ctanh": | |
6937 | -float: 1 | |
6938 | -ifloat: 1 | |
6939 | -ildouble: 25 | |
6940 | -ldouble: 25 | |
6941 | double: 1 | |
6942 | +float: 1 | |
6943 | idouble: 1 | |
6944 | +ifloat: 1 | |
6945 | +ildouble: 1 | |
6946 | +ldouble: 1 | |
6947 | ||
6948 | Function: "erf": | |
6949 | double: 1 | |
6950 | @@ -1196,12 +1567,28 @@ ildouble: 1 | |
6951 | ldouble: 1 | |
6952 | ||
6953 | Function: "exp10": | |
6954 | -ildouble: 8 | |
6955 | -ldouble: 8 | |
6956 | -float: 2 | |
6957 | -ifloat: 2 | |
6958 | double: 6 | |
6959 | +float: 2 | |
6960 | idouble: 6 | |
6961 | +ifloat: 2 | |
6962 | +ildouble: 3 | |
6963 | +ldouble: 3 | |
6964 | + | |
6965 | +Function: "exp_downward": | |
6966 | +float: 1 | |
6967 | +ifloat: 1 | |
6968 | +ildouble: 2 | |
6969 | +ldouble: 2 | |
6970 | + | |
6971 | +Function: "exp_towardzero": | |
6972 | +float: 1 | |
6973 | +ifloat: 1 | |
6974 | +ildouble: 2 | |
6975 | +ldouble: 2 | |
6976 | + | |
6977 | +Function: "exp_upward": | |
6978 | +float: 1 | |
6979 | +ifloat: 1 | |
6980 | ||
6981 | Function: "expm1": | |
6982 | double: 1 | |
6983 | @@ -1250,17 +1637,59 @@ ildouble: 1 | |
6984 | ldouble: 1 | |
6985 | ||
6986 | Function: "log10": | |
6987 | +double: 1 | |
6988 | float: 2 | |
6989 | +idouble: 1 | |
6990 | ifloat: 2 | |
6991 | ildouble: 1 | |
6992 | ldouble: 1 | |
6993 | -double: 1 | |
6994 | -idouble: 1 | |
6995 | ||
6996 | Function: "log1p": | |
6997 | float: 1 | |
6998 | ifloat: 1 | |
6999 | ||
7000 | +Function: "pow_downward": | |
7001 | +float: 1 | |
7002 | +ifloat: 1 | |
7003 | +ildouble: 1 | |
7004 | +ldouble: 1 | |
7005 | + | |
7006 | +Function: "pow_towardzero": | |
7007 | +float: 1 | |
7008 | +ifloat: 1 | |
7009 | +ildouble: 1 | |
7010 | +ldouble: 1 | |
7011 | + | |
7012 | +Function: "pow_upward": | |
7013 | +float: 1 | |
7014 | +ifloat: 1 | |
7015 | +ildouble: 1 | |
7016 | +ldouble: 1 | |
7017 | + | |
7018 | +Function: "sin_downward": | |
7019 | +float: 1 | |
7020 | +ifloat: 1 | |
7021 | +ildouble: 1 | |
7022 | +ldouble: 1 | |
7023 | + | |
7024 | +Function: "sin_tonearest": | |
7025 | +float: 1 | |
7026 | +ifloat: 1 | |
7027 | +ildouble: 1 | |
7028 | +ldouble: 1 | |
7029 | + | |
7030 | +Function: "sin_towardzero": | |
7031 | +float: 1 | |
7032 | +ifloat: 1 | |
7033 | +ildouble: 1 | |
7034 | +ldouble: 1 | |
7035 | + | |
7036 | +Function: "sin_upward": | |
7037 | +float: 2 | |
7038 | +ifloat: 2 | |
7039 | +ildouble: 1 | |
7040 | +ldouble: 1 | |
7041 | + | |
7042 | Function: "sincos": | |
7043 | double: 1 | |
7044 | float: 1 | |
7045 | @@ -1269,10 +1698,52 @@ ifloat: 1 | |
7046 | ildouble: 1 | |
7047 | ldouble: 1 | |
7048 | ||
7049 | +Function: "sinh_downward": | |
7050 | +float: 1 | |
7051 | +ifloat: 1 | |
7052 | +ildouble: 5 | |
7053 | +ldouble: 5 | |
7054 | + | |
7055 | +Function: "sinh_tonearest": | |
7056 | +ildouble: 6 | |
7057 | +ldouble: 6 | |
7058 | + | |
7059 | +Function: "sinh_towardzero": | |
7060 | +float: 1 | |
7061 | +ifloat: 1 | |
7062 | +ildouble: 5 | |
7063 | +ldouble: 5 | |
7064 | + | |
7065 | +Function: "sinh_upward": | |
7066 | +ildouble: 27 | |
7067 | +ldouble: 27 | |
7068 | + | |
7069 | Function: "tan": | |
7070 | double: 1 | |
7071 | idouble: 1 | |
7072 | ||
7073 | +Function: "tan_downward": | |
7074 | +float: 1 | |
7075 | +ifloat: 1 | |
7076 | +ildouble: 1 | |
7077 | +ldouble: 1 | |
7078 | + | |
7079 | +Function: "tan_tonearest": | |
7080 | +ildouble: 1 | |
7081 | +ldouble: 1 | |
7082 | + | |
7083 | +Function: "tan_towardzero": | |
7084 | +float: 1 | |
7085 | +ifloat: 1 | |
7086 | +ildouble: 2 | |
7087 | +ldouble: 2 | |
7088 | + | |
7089 | +Function: "tan_upward": | |
7090 | +float: 1 | |
7091 | +ifloat: 1 | |
7092 | +ildouble: 2 | |
7093 | +ldouble: 2 | |
7094 | + | |
7095 | Function: "tgamma": | |
7096 | double: 1 | |
7097 | float: 1 | |
7098 | diff -Nrup a/sysdeps/x86_64/fpu/math_private.h b/sysdeps/x86_64/fpu/math_private.h | |
7099 | --- a/sysdeps/x86_64/fpu/math_private.h 2010-05-04 05:27:23.000000000 -0600 | |
7100 | +++ b/sysdeps/x86_64/fpu/math_private.h 2012-08-06 09:54:00.893929393 -0600 | |
7101 | @@ -56,3 +56,82 @@ do { \ | |
7102 | } while (0) | |
7103 | ||
7104 | #endif | |
7105 | + | |
7106 | + | |
7107 | +/* Specialized variants of the <fenv.h> interfaces which only handle | |
7108 | + either the FPU or the SSE unit. */ | |
7109 | +#undef libc_fegetround | |
7110 | +#define libc_fegetround() \ | |
7111 | + ({ \ | |
7112 | + unsigned int mxcsr; \ | |
7113 | + asm volatile ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7114 | + (mxcsr & 0x6000) >> 3; \ | |
7115 | + }) | |
7116 | +#undef libc_fegetroundf | |
7117 | +#define libc_fegetroundf() libc_fegetround () | |
7118 | +// #define libc_fegetroundl() fegetround () | |
7119 | + | |
7120 | +#undef libc_fesetround | |
7121 | +#define libc_fesetround(r) \ | |
7122 | + do { \ | |
7123 | + unsigned int mxcsr; \ | |
7124 | + asm ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7125 | + mxcsr = (mxcsr & ~0x6000) | ((r) << 3); \ | |
7126 | + asm volatile ("ldmxcsr %0" : : "m" (*&mxcsr)); \ | |
7127 | + } while (0) | |
7128 | +#undef libc_fesetroundf | |
7129 | +#define libc_fesetroundf(r) libc_fesetround (r) | |
7130 | +// #define libc_fesetroundl(r) (void) fesetround (r) | |
7131 | + | |
7132 | +#undef libc_feholdexcept | |
7133 | +#define libc_feholdexcept(e) \ | |
7134 | + do { \ | |
7135 | + unsigned int mxcsr; \ | |
7136 | + asm ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7137 | + (e)->__mxcsr = mxcsr; \ | |
7138 | + mxcsr = (mxcsr | 0x1f80) & ~0x3f; \ | |
7139 | + asm volatile ("ldmxcsr %0" : : "m" (*&mxcsr)); \ | |
7140 | + } while (0) | |
7141 | +#undef libc_feholdexceptf | |
7142 | +#define libc_feholdexceptf(e) libc_feholdexcept (e) | |
7143 | +// #define libc_feholdexceptl(e) (void) feholdexcept (e) | |
7144 | + | |
7145 | +#undef libc_feholdexcept_setround | |
7146 | +#define libc_feholdexcept_setround(e, r) \ | |
7147 | + do { \ | |
7148 | + unsigned int mxcsr; \ | |
7149 | + asm ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7150 | + (e)->__mxcsr = mxcsr; \ | |
7151 | + mxcsr = ((mxcsr | 0x1f80) & ~0x603f) | ((r) << 3); \ | |
7152 | + asm volatile ("ldmxcsr %0" : : "m" (*&mxcsr)); \ | |
7153 | + } while (0) | |
7154 | +#undef libc_feholdexcept_setroundf | |
7155 | +#define libc_feholdexcept_setroundf(e, r) libc_feholdexcept_setround (e, r) | |
7156 | +// #define libc_feholdexcept_setroundl(e, r) ... | |
7157 | + | |
7158 | +#undef libc_fetestexcept | |
7159 | +#define libc_fetestexcept(e) \ | |
7160 | + ({ unsigned int mxcsr; asm volatile ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7161 | + mxcsr & (e) & FE_ALL_EXCEPT; }) | |
7162 | +#undef libc_fetestexceptf | |
7163 | +#define libc_fetestexceptf(e) libc_fetestexcept (e) | |
7164 | +// #define libc_fetestexceptl(e) fetestexcept (e) | |
7165 | + | |
7166 | +#undef libc_fesetenv | |
7167 | +#define libc_fesetenv(e) \ | |
7168 | + asm volatile ("ldmxcsr %0" : : "m" ((e)->__mxcsr)) | |
7169 | +#undef libc_fesetenvf | |
7170 | +#define libc_fesetenvf(e) libc_fesetenv (e) | |
7171 | +// #define libc_fesetenvl(e) (void) fesetenv (e) | |
7172 | + | |
7173 | +#undef libc_feupdateenv | |
7174 | +#define libc_feupdateenv(e) \ | |
7175 | + do { \ | |
7176 | + unsigned int mxcsr; \ | |
7177 | + asm volatile ("stmxcsr %0" : "=m" (*&mxcsr)); \ | |
7178 | + asm volatile ("ldmxcsr %0" : : "m" ((e)->__mxcsr)); \ | |
7179 | + feraiseexcept (mxcsr & FE_ALL_EXCEPT); \ | |
7180 | + } while (0) | |
7181 | +#undef libc_feupdateenvf | |
7182 | +#define libc_feupdateenvf(e) libc_feupdateenv (e) | |
7183 | +// #define libc_feupdateenvl(e) (void) feupdateenv (e) |