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25 | <div class="section"> | |
26 | <div class="titlepage"><div><div><h2 class="title" style="clear: both"> | |
27 | <a name="math_toolkit.comp_compilers"></a><a class="link" href="comp_compilers.html" title="Comparing Different Compilers">Comparing Different Compilers</a> | |
28 | </h2></div></div></div> | |
29 | <p> | |
30 | By running our performance test suite multiple times, we can compare the effect | |
31 | of different compilers: as might be expected, the differences are generally | |
32 | small compared to say disabling internal use of <code class="computeroutput"><span class="keyword">long</span> | |
33 | <span class="keyword">double</span></code>. However, there are still gains | |
34 | to be main, particularly from some of the commercial offerings: | |
35 | </p> | |
36 | <div class="table"> | |
37 | <a name="math_toolkit.comp_compilers.table_Compiler_Comparison_on_Windows_x64"></a><p class="title"><b>Table 16.5. Compiler Comparison on Windows x64</b></p> | |
38 | <div class="table-contents"><table class="table" summary="Compiler Comparison on Windows x64"> | |
39 | <colgroup> | |
40 | <col> | |
41 | <col> | |
42 | <col> | |
43 | <col> | |
44 | <col> | |
45 | </colgroup> | |
46 | <thead><tr> | |
47 | <th> | |
48 | <p> | |
49 | Function | |
50 | </p> | |
51 | </th> | |
52 | <th> | |
53 | <p> | |
54 | Microsoft Visual C++ version 14.0<br> boost 1.61 | |
55 | </p> | |
56 | </th> | |
57 | <th> | |
58 | <p> | |
59 | GNU C++ version 5.3.0<br> boost 1.61 | |
60 | </p> | |
61 | </th> | |
62 | <th> | |
63 | <p> | |
64 | GNU C++ version 5.3.0<br> boost 1.61<br> promote_double<false> | |
65 | </p> | |
66 | </th> | |
67 | <th> | |
68 | <p> | |
69 | Intel C++ C++0x mode version 1600<br> boost 1.61 | |
70 | </p> | |
71 | </th> | |
72 | </tr></thead> | |
73 | <tbody> | |
74 | <tr> | |
75 | <td> | |
76 | <p> | |
77 | assoc_laguerre | |
78 | </p> | |
79 | </td> | |
80 | <td> | |
81 | <p> | |
82 | <span class="green">1.16<br> (208ns)</span> | |
83 | </p> | |
84 | </td> | |
85 | <td> | |
86 | <p> | |
87 | <span class="blue">1.21<br> (217ns)</span> | |
88 | </p> | |
89 | </td> | |
90 | <td> | |
91 | <p> | |
92 | <span class="green">1.06<br> (190ns)</span> | |
93 | </p> | |
94 | </td> | |
95 | <td> | |
96 | <p> | |
97 | <span class="green">1.00<br> (180ns)</span> | |
98 | </p> | |
99 | </td> | |
100 | </tr> | |
101 | <tr> | |
102 | <td> | |
103 | <p> | |
104 | assoc_legendre | |
105 | </p> | |
106 | </td> | |
107 | <td> | |
108 | <p> | |
109 | <span class="blue">1.57<br> (151ns)</span> | |
110 | </p> | |
111 | </td> | |
112 | <td> | |
113 | <p> | |
114 | <span class="blue">1.80<br> (173ns)</span> | |
115 | </p> | |
116 | </td> | |
117 | <td> | |
118 | <p> | |
119 | <span class="green">1.16<br> (111ns)</span> | |
120 | </p> | |
121 | </td> | |
122 | <td> | |
123 | <p> | |
124 | <span class="green">1.00<br> (96ns)</span> | |
125 | </p> | |
126 | </td> | |
127 | </tr> | |
128 | <tr> | |
129 | <td> | |
130 | <p> | |
131 | beta | |
132 | </p> | |
133 | </td> | |
134 | <td> | |
135 | <p> | |
136 | <span class="blue">1.74<br> (176ns)</span> | |
137 | </p> | |
138 | </td> | |
139 | <td> | |
140 | <p> | |
141 | <span class="red">3.78<br> (382ns)</span> | |
142 | </p> | |
143 | </td> | |
144 | <td> | |
145 | <p> | |
146 | <span class="red">2.17<br> (219ns)</span> | |
147 | </p> | |
148 | </td> | |
149 | <td> | |
150 | <p> | |
151 | <span class="green">1.00<br> (101ns)</span> | |
152 | </p> | |
153 | </td> | |
154 | </tr> | |
155 | <tr> | |
156 | <td> | |
157 | <p> | |
158 | beta (incomplete) | |
159 | </p> | |
160 | </td> | |
161 | <td> | |
162 | <p> | |
163 | <span class="blue">1.44<br> (520ns)</span> | |
164 | </p> | |
165 | </td> | |
166 | <td> | |
167 | <p> | |
168 | <span class="red">3.03<br> (1096ns)</span> | |
169 | </p> | |
170 | </td> | |
171 | <td> | |
172 | <p> | |
173 | <span class="blue">1.84<br> (666ns)</span> | |
174 | </p> | |
175 | </td> | |
176 | <td> | |
177 | <p> | |
178 | <span class="green">1.00<br> (362ns)</span> | |
179 | </p> | |
180 | </td> | |
181 | </tr> | |
182 | <tr> | |
183 | <td> | |
184 | <p> | |
185 | cbrt | |
186 | </p> | |
187 | </td> | |
188 | <td> | |
189 | <p> | |
190 | <span class="red">3.21<br> (45ns)</span> | |
191 | </p> | |
192 | </td> | |
193 | <td> | |
194 | <p> | |
195 | <span class="red">3.43<br> (48ns)</span> | |
196 | </p> | |
197 | </td> | |
198 | <td> | |
199 | <p> | |
200 | <span class="red">3.07<br> (43ns)</span> | |
201 | </p> | |
202 | </td> | |
203 | <td> | |
204 | <p> | |
205 | <span class="green">1.00<br> (14ns)</span> | |
206 | </p> | |
207 | </td> | |
208 | </tr> | |
209 | <tr> | |
210 | <td> | |
211 | <p> | |
212 | cyl_bessel_i | |
213 | </p> | |
214 | </td> | |
215 | <td> | |
216 | <p> | |
217 | <span class="green">1.11<br> (404ns)</span> | |
218 | </p> | |
219 | </td> | |
220 | <td> | |
221 | <p> | |
222 | <span class="red">2.78<br> (1016ns)</span> | |
223 | </p> | |
224 | </td> | |
225 | <td> | |
226 | <p> | |
227 | <span class="blue">1.21<br> (442ns)</span> | |
228 | </p> | |
229 | </td> | |
230 | <td> | |
231 | <p> | |
232 | <span class="green">1.00<br> (365ns)</span> | |
233 | </p> | |
234 | </td> | |
235 | </tr> | |
236 | <tr> | |
237 | <td> | |
238 | <p> | |
239 | cyl_bessel_i (integer order) | |
240 | </p> | |
241 | </td> | |
242 | <td> | |
243 | <p> | |
244 | <span class="blue">1.29<br> (261ns)</span> | |
245 | </p> | |
246 | </td> | |
247 | <td> | |
248 | <p> | |
249 | <span class="red">3.16<br> (638ns)</span> | |
250 | </p> | |
251 | </td> | |
252 | <td> | |
253 | <p> | |
254 | <span class="blue">1.22<br> (247ns)</span> | |
255 | </p> | |
256 | </td> | |
257 | <td> | |
258 | <p> | |
259 | <span class="green">1.00<br> (202ns)</span> | |
260 | </p> | |
261 | </td> | |
262 | </tr> | |
263 | <tr> | |
264 | <td> | |
265 | <p> | |
266 | cyl_bessel_j | |
267 | </p> | |
268 | </td> | |
269 | <td> | |
270 | <p> | |
271 | <span class="green">1.19<br> (488ns)</span> | |
272 | </p> | |
273 | </td> | |
274 | <td> | |
275 | <p> | |
276 | <span class="red">2.06<br> (841ns)</span> | |
277 | </p> | |
278 | </td> | |
279 | <td> | |
280 | <p> | |
281 | <span class="blue">1.25<br> (513ns)</span> | |
282 | </p> | |
283 | </td> | |
284 | <td> | |
285 | <p> | |
286 | <span class="green">1.00<br> (409ns)</span> | |
287 | </p> | |
288 | </td> | |
289 | </tr> | |
290 | <tr> | |
291 | <td> | |
292 | <p> | |
293 | cyl_bessel_j (integer order) | |
294 | </p> | |
295 | </td> | |
296 | <td> | |
297 | <p> | |
298 | <span class="blue">1.36<br> (103ns)</span> | |
299 | </p> | |
300 | </td> | |
301 | <td> | |
302 | <p> | |
303 | <span class="red">2.39<br> (182ns)</span> | |
304 | </p> | |
305 | </td> | |
306 | <td> | |
307 | <p> | |
308 | <span class="blue">1.47<br> (112ns)</span> | |
309 | </p> | |
310 | </td> | |
311 | <td> | |
312 | <p> | |
313 | <span class="green">1.00<br> (76ns)</span> | |
314 | </p> | |
315 | </td> | |
316 | </tr> | |
317 | <tr> | |
318 | <td> | |
319 | <p> | |
320 | cyl_bessel_k | |
321 | </p> | |
322 | </td> | |
323 | <td> | |
324 | <p> | |
325 | <span class="green">1.04<br> (747ns)</span> | |
326 | </p> | |
327 | </td> | |
328 | <td> | |
329 | <p> | |
330 | <span class="red">9.43<br> (6743ns)</span> | |
331 | </p> | |
332 | </td> | |
333 | <td> | |
334 | <p> | |
335 | <span class="green">1.03<br> (734ns)</span> | |
336 | </p> | |
337 | </td> | |
338 | <td> | |
339 | <p> | |
340 | <span class="green">1.00<br> (715ns)</span> | |
341 | </p> | |
342 | </td> | |
343 | </tr> | |
344 | <tr> | |
345 | <td> | |
346 | <p> | |
347 | cyl_bessel_k (integer order) | |
348 | </p> | |
349 | </td> | |
350 | <td> | |
351 | <p> | |
352 | <span class="blue">1.26<br> (419ns)</span> | |
353 | </p> | |
354 | </td> | |
355 | <td> | |
356 | <p> | |
357 | <span class="red">10.49<br> (3494ns)</span> | |
358 | </p> | |
359 | </td> | |
360 | <td> | |
361 | <p> | |
362 | <span class="green">1.10<br> (367ns)</span> | |
363 | </p> | |
364 | </td> | |
365 | <td> | |
366 | <p> | |
367 | <span class="green">1.00<br> (333ns)</span> | |
368 | </p> | |
369 | </td> | |
370 | </tr> | |
371 | <tr> | |
372 | <td> | |
373 | <p> | |
374 | cyl_neumann | |
375 | </p> | |
376 | </td> | |
377 | <td> | |
378 | <p> | |
379 | <span class="red">16.76<br> (11212ns)</span> | |
380 | </p> | |
381 | </td> | |
382 | <td> | |
383 | <p> | |
384 | <span class="red">2.01<br> (1346ns)</span> | |
385 | </p> | |
386 | </td> | |
387 | <td> | |
388 | <p> | |
389 | <span class="green">1.00<br> (669ns)</span> | |
390 | </p> | |
391 | </td> | |
392 | <td> | |
393 | <p> | |
394 | <span class="red">15.35<br> (10266ns)</span> | |
395 | </p> | |
396 | </td> | |
397 | </tr> | |
398 | <tr> | |
399 | <td> | |
400 | <p> | |
401 | cyl_neumann (integer order) | |
402 | </p> | |
403 | </td> | |
404 | <td> | |
405 | <p> | |
406 | <span class="green">1.00<br> (225ns)</span> | |
407 | </p> | |
408 | </td> | |
409 | <td> | |
410 | <p> | |
411 | <span class="blue">1.79<br> (403ns)</span> | |
412 | </p> | |
413 | </td> | |
414 | <td> | |
415 | <p> | |
416 | <span class="blue">1.24<br> (279ns)</span> | |
417 | </p> | |
418 | </td> | |
419 | <td> | |
420 | <p> | |
421 | <span class="green">1.02<br> (229ns)</span> | |
422 | </p> | |
423 | </td> | |
424 | </tr> | |
425 | <tr> | |
426 | <td> | |
427 | <p> | |
428 | digamma | |
429 | </p> | |
430 | </td> | |
431 | <td> | |
432 | <p> | |
433 | <span class="green">1.20<br> (24ns)</span> | |
434 | </p> | |
435 | </td> | |
436 | <td> | |
437 | <p> | |
438 | <span class="red">3.75<br> (75ns)</span> | |
439 | </p> | |
440 | </td> | |
441 | <td> | |
442 | <p> | |
443 | <span class="red">2.15<br> (43ns)</span> | |
444 | </p> | |
445 | </td> | |
446 | <td> | |
447 | <p> | |
448 | <span class="green">1.00<br> (20ns)</span> | |
449 | </p> | |
450 | </td> | |
451 | </tr> | |
452 | <tr> | |
453 | <td> | |
454 | <p> | |
455 | ellint_1 | |
456 | </p> | |
457 | </td> | |
458 | <td> | |
459 | <p> | |
460 | <span class="blue">1.87<br> (329ns)</span> | |
461 | </p> | |
462 | </td> | |
463 | <td> | |
464 | <p> | |
465 | <span class="blue">1.99<br> (350ns)</span> | |
466 | </p> | |
467 | </td> | |
468 | <td> | |
469 | <p> | |
470 | <span class="blue">1.32<br> (232ns)</span> | |
471 | </p> | |
472 | </td> | |
473 | <td> | |
474 | <p> | |
475 | <span class="green">1.00<br> (176ns)</span> | |
476 | </p> | |
477 | </td> | |
478 | </tr> | |
479 | <tr> | |
480 | <td> | |
481 | <p> | |
482 | ellint_1 (complete) | |
483 | </p> | |
484 | </td> | |
485 | <td> | |
486 | <p> | |
487 | <span class="red">2.18<br> (61ns)</span> | |
488 | </p> | |
489 | </td> | |
490 | <td> | |
491 | <p> | |
492 | <span class="red">2.57<br> (72ns)</span> | |
493 | </p> | |
494 | </td> | |
495 | <td> | |
496 | <p> | |
497 | <span class="blue">1.57<br> (44ns)</span> | |
498 | </p> | |
499 | </td> | |
500 | <td> | |
501 | <p> | |
502 | <span class="green">1.00<br> (28ns)</span> | |
503 | </p> | |
504 | </td> | |
505 | </tr> | |
506 | <tr> | |
507 | <td> | |
508 | <p> | |
509 | ellint_2 | |
510 | </p> | |
511 | </td> | |
512 | <td> | |
513 | <p> | |
514 | <span class="blue">1.78<br> (525ns)</span> | |
515 | </p> | |
516 | </td> | |
517 | <td> | |
518 | <p> | |
519 | <span class="red">2.17<br> (640ns)</span> | |
520 | </p> | |
521 | </td> | |
522 | <td> | |
523 | <p> | |
524 | <span class="blue">1.52<br> (449ns)</span> | |
525 | </p> | |
526 | </td> | |
527 | <td> | |
528 | <p> | |
529 | <span class="green">1.00<br> (295ns)</span> | |
530 | </p> | |
531 | </td> | |
532 | </tr> | |
533 | <tr> | |
534 | <td> | |
535 | <p> | |
536 | ellint_2 (complete) | |
537 | </p> | |
538 | </td> | |
539 | <td> | |
540 | <p> | |
541 | <span class="red">2.14<br> (62ns)</span> | |
542 | </p> | |
543 | </td> | |
544 | <td> | |
545 | <p> | |
546 | <span class="red">2.07<br> (60ns)</span> | |
547 | </p> | |
548 | </td> | |
549 | <td> | |
550 | <p> | |
551 | <span class="blue">1.24<br> (36ns)</span> | |
552 | </p> | |
553 | </td> | |
554 | <td> | |
555 | <p> | |
556 | <span class="green">1.00<br> (29ns)</span> | |
557 | </p> | |
558 | </td> | |
559 | </tr> | |
560 | <tr> | |
561 | <td> | |
562 | <p> | |
563 | ellint_3 | |
564 | </p> | |
565 | </td> | |
566 | <td> | |
567 | <p> | |
568 | <span class="blue">1.94<br> (1155ns)</span> | |
569 | </p> | |
570 | </td> | |
571 | <td> | |
572 | <p> | |
573 | <span class="red">2.91<br> (1733ns)</span> | |
574 | </p> | |
575 | </td> | |
576 | <td> | |
577 | <p> | |
578 | <span class="blue">1.65<br> (986ns)</span> | |
579 | </p> | |
580 | </td> | |
581 | <td> | |
582 | <p> | |
583 | <span class="green">1.00<br> (596ns)</span> | |
584 | </p> | |
585 | </td> | |
586 | </tr> | |
587 | <tr> | |
588 | <td> | |
589 | <p> | |
590 | ellint_3 (complete) | |
591 | </p> | |
592 | </td> | |
593 | <td> | |
594 | <p> | |
595 | <span class="red">2.05<br> (721ns)</span> | |
596 | </p> | |
597 | </td> | |
598 | <td> | |
599 | <p> | |
600 | <span class="red">3.07<br> (1079ns)</span> | |
601 | </p> | |
602 | </td> | |
603 | <td> | |
604 | <p> | |
605 | <span class="blue">1.46<br> (514ns)</span> | |
606 | </p> | |
607 | </td> | |
608 | <td> | |
609 | <p> | |
610 | <span class="green">1.00<br> (352ns)</span> | |
611 | </p> | |
612 | </td> | |
613 | </tr> | |
614 | <tr> | |
615 | <td> | |
616 | <p> | |
617 | ellint_rc | |
618 | </p> | |
619 | </td> | |
620 | <td> | |
621 | <p> | |
622 | <span class="blue">1.58<br> (49ns)</span> | |
623 | </p> | |
624 | </td> | |
625 | <td> | |
626 | <p> | |
627 | <span class="red">2.68<br> (83ns)</span> | |
628 | </p> | |
629 | </td> | |
630 | <td> | |
631 | <p> | |
632 | <span class="blue">1.55<br> (48ns)</span> | |
633 | </p> | |
634 | </td> | |
635 | <td> | |
636 | <p> | |
637 | <span class="green">1.00<br> (31ns)</span> | |
638 | </p> | |
639 | </td> | |
640 | </tr> | |
641 | <tr> | |
642 | <td> | |
643 | <p> | |
644 | ellint_rd | |
645 | </p> | |
646 | </td> | |
647 | <td> | |
648 | <p> | |
649 | <span class="blue">1.75<br> (332ns)</span> | |
650 | </p> | |
651 | </td> | |
652 | <td> | |
653 | <p> | |
654 | <span class="blue">1.83<br> (348ns)</span> | |
655 | </p> | |
656 | </td> | |
657 | <td> | |
658 | <p> | |
659 | <span class="blue">1.40<br> (266ns)</span> | |
660 | </p> | |
661 | </td> | |
662 | <td> | |
663 | <p> | |
664 | <span class="green">1.00<br> (190ns)</span> | |
665 | </p> | |
666 | </td> | |
667 | </tr> | |
668 | <tr> | |
669 | <td> | |
670 | <p> | |
671 | ellint_rf | |
672 | </p> | |
673 | </td> | |
674 | <td> | |
675 | <p> | |
676 | <span class="blue">1.69<br> (71ns)</span> | |
677 | </p> | |
678 | </td> | |
679 | <td> | |
680 | <p> | |
681 | <span class="red">2.40<br> (101ns)</span> | |
682 | </p> | |
683 | </td> | |
684 | <td> | |
685 | <p> | |
686 | <span class="blue">1.57<br> (66ns)</span> | |
687 | </p> | |
688 | </td> | |
689 | <td> | |
690 | <p> | |
691 | <span class="green">1.00<br> (42ns)</span> | |
692 | </p> | |
693 | </td> | |
694 | </tr> | |
695 | <tr> | |
696 | <td> | |
697 | <p> | |
698 | ellint_rj | |
699 | </p> | |
700 | </td> | |
701 | <td> | |
702 | <p> | |
703 | <span class="blue">1.91<br> (344ns)</span> | |
704 | </p> | |
705 | </td> | |
706 | <td> | |
707 | <p> | |
708 | <span class="red">2.96<br> (532ns)</span> | |
709 | </p> | |
710 | </td> | |
711 | <td> | |
712 | <p> | |
713 | <span class="blue">1.43<br> (257ns)</span> | |
714 | </p> | |
715 | </td> | |
716 | <td> | |
717 | <p> | |
718 | <span class="green">1.00<br> (180ns)</span> | |
719 | </p> | |
720 | </td> | |
721 | </tr> | |
722 | <tr> | |
723 | <td> | |
724 | <p> | |
725 | erf | |
726 | </p> | |
727 | </td> | |
728 | <td> | |
729 | <p> | |
730 | <span class="blue">1.77<br> (23ns)</span> | |
731 | </p> | |
732 | </td> | |
733 | <td> | |
734 | <p> | |
735 | <span class="red">2.92<br> (38ns)</span> | |
736 | </p> | |
737 | </td> | |
738 | <td> | |
739 | <p> | |
740 | <span class="blue">1.92<br> (25ns)</span> | |
741 | </p> | |
742 | </td> | |
743 | <td> | |
744 | <p> | |
745 | <span class="green">1.00<br> (13ns)</span> | |
746 | </p> | |
747 | </td> | |
748 | </tr> | |
749 | <tr> | |
750 | <td> | |
751 | <p> | |
752 | erfc | |
753 | </p> | |
754 | </td> | |
755 | <td> | |
756 | <p> | |
757 | <span class="blue">1.29<br> (22ns)</span> | |
758 | </p> | |
759 | </td> | |
760 | <td> | |
761 | <p> | |
762 | <span class="red">3.41<br> (58ns)</span> | |
763 | </p> | |
764 | </td> | |
765 | <td> | |
766 | <p> | |
767 | <span class="red">2.06<br> (35ns)</span> | |
768 | </p> | |
769 | </td> | |
770 | <td> | |
771 | <p> | |
772 | <span class="green">1.00<br> (17ns)</span> | |
773 | </p> | |
774 | </td> | |
775 | </tr> | |
776 | <tr> | |
777 | <td> | |
778 | <p> | |
779 | expint | |
780 | </p> | |
781 | </td> | |
782 | <td> | |
783 | <p> | |
784 | <span class="blue">1.39<br> (39ns)</span> | |
785 | </p> | |
786 | </td> | |
787 | <td> | |
788 | <p> | |
789 | <span class="red">3.07<br> (86ns)</span> | |
790 | </p> | |
791 | </td> | |
792 | <td> | |
793 | <p> | |
794 | <span class="red">2.14<br> (60ns)</span> | |
795 | </p> | |
796 | </td> | |
797 | <td> | |
798 | <p> | |
799 | <span class="green">1.00<br> (28ns)</span> | |
800 | </p> | |
801 | </td> | |
802 | </tr> | |
803 | <tr> | |
804 | <td> | |
805 | <p> | |
806 | expint (En) | |
807 | </p> | |
808 | </td> | |
809 | <td> | |
810 | <p> | |
811 | <span class="green">1.10<br> (117ns)</span> | |
812 | </p> | |
813 | </td> | |
814 | <td> | |
815 | <p> | |
816 | <span class="red">2.19<br> (232ns)</span> | |
817 | </p> | |
818 | </td> | |
819 | <td> | |
820 | <p> | |
821 | <span class="blue">1.38<br> (146ns)</span> | |
822 | </p> | |
823 | </td> | |
824 | <td> | |
825 | <p> | |
826 | <span class="green">1.00<br> (106ns)</span> | |
827 | </p> | |
828 | </td> | |
829 | </tr> | |
830 | <tr> | |
831 | <td> | |
832 | <p> | |
833 | expm1 | |
834 | </p> | |
835 | </td> | |
836 | <td> | |
837 | <p> | |
838 | <span class="green">1.00<br> (10ns)</span> | |
839 | </p> | |
840 | </td> | |
841 | <td> | |
842 | <p> | |
843 | <span class="red">3.10<br> (31ns)</span> | |
844 | </p> | |
845 | </td> | |
846 | <td> | |
847 | <p> | |
848 | <span class="red">2.40<br> (24ns)</span> | |
849 | </p> | |
850 | </td> | |
851 | <td> | |
852 | <p> | |
853 | <span class="green">1.10<br> (11ns)</span> | |
854 | </p> | |
855 | </td> | |
856 | </tr> | |
857 | <tr> | |
858 | <td> | |
859 | <p> | |
860 | gamma_p | |
861 | </p> | |
862 | </td> | |
863 | <td> | |
864 | <p> | |
865 | <span class="blue">1.29<br> (192ns)</span> | |
866 | </p> | |
867 | </td> | |
868 | <td> | |
869 | <p> | |
870 | <span class="red">2.64<br> (393ns)</span> | |
871 | </p> | |
872 | </td> | |
873 | <td> | |
874 | <p> | |
875 | <span class="blue">1.71<br> (255ns)</span> | |
876 | </p> | |
877 | </td> | |
878 | <td> | |
879 | <p> | |
880 | <span class="green">1.00<br> (149ns)</span> | |
881 | </p> | |
882 | </td> | |
883 | </tr> | |
884 | <tr> | |
885 | <td> | |
886 | <p> | |
887 | gamma_p_inv | |
888 | </p> | |
889 | </td> | |
890 | <td> | |
891 | <p> | |
892 | <span class="blue">1.36<br> (706ns)</span> | |
893 | </p> | |
894 | </td> | |
895 | <td> | |
896 | <p> | |
897 | <span class="red">2.47<br> (1288ns)</span> | |
898 | </p> | |
899 | </td> | |
900 | <td> | |
901 | <p> | |
902 | <span class="blue">1.91<br> (997ns)</span> | |
903 | </p> | |
904 | </td> | |
905 | <td> | |
906 | <p> | |
907 | <span class="green">1.00<br> (521ns)</span> | |
908 | </p> | |
909 | </td> | |
910 | </tr> | |
911 | <tr> | |
912 | <td> | |
913 | <p> | |
914 | gamma_q | |
915 | </p> | |
916 | </td> | |
917 | <td> | |
918 | <p> | |
919 | <span class="green">1.16<br> (179ns)</span> | |
920 | </p> | |
921 | </td> | |
922 | <td> | |
923 | <p> | |
924 | <span class="red">2.79<br> (429ns)</span> | |
925 | </p> | |
926 | </td> | |
927 | <td> | |
928 | <p> | |
929 | <span class="blue">1.61<br> (248ns)</span> | |
930 | </p> | |
931 | </td> | |
932 | <td> | |
933 | <p> | |
934 | <span class="green">1.00<br> (154ns)</span> | |
935 | </p> | |
936 | </td> | |
937 | </tr> | |
938 | <tr> | |
939 | <td> | |
940 | <p> | |
941 | gamma_q_inv | |
942 | </p> | |
943 | </td> | |
944 | <td> | |
945 | <p> | |
946 | <span class="blue">1.37<br> (703ns)</span> | |
947 | </p> | |
948 | </td> | |
949 | <td> | |
950 | <p> | |
951 | <span class="red">2.38<br> (1225ns)</span> | |
952 | </p> | |
953 | </td> | |
954 | <td> | |
955 | <p> | |
956 | <span class="blue">1.89<br> (971ns)</span> | |
957 | </p> | |
958 | </td> | |
959 | <td> | |
960 | <p> | |
961 | <span class="green">1.00<br> (515ns)</span> | |
962 | </p> | |
963 | </td> | |
964 | </tr> | |
965 | <tr> | |
966 | <td> | |
967 | <p> | |
968 | ibeta | |
969 | </p> | |
970 | </td> | |
971 | <td> | |
972 | <p> | |
973 | <span class="blue">1.34<br> (520ns)</span> | |
974 | </p> | |
975 | </td> | |
976 | <td> | |
977 | <p> | |
978 | <span class="red">3.13<br> (1218ns)</span> | |
979 | </p> | |
980 | </td> | |
981 | <td> | |
982 | <p> | |
983 | <span class="blue">1.83<br> (711ns)</span> | |
984 | </p> | |
985 | </td> | |
986 | <td> | |
987 | <p> | |
988 | <span class="green">1.00<br> (389ns)</span> | |
989 | </p> | |
990 | </td> | |
991 | </tr> | |
992 | <tr> | |
993 | <td> | |
994 | <p> | |
995 | ibeta_inv | |
996 | </p> | |
997 | </td> | |
998 | <td> | |
999 | <p> | |
1000 | <span class="blue">1.51<br> (2193ns)</span> | |
1001 | </p> | |
1002 | </td> | |
1003 | <td> | |
1004 | <p> | |
1005 | <span class="red">2.81<br> (4085ns)</span> | |
1006 | </p> | |
1007 | </td> | |
1008 | <td> | |
1009 | <p> | |
1010 | <span class="red">2.27<br> (3303ns)</span> | |
1011 | </p> | |
1012 | </td> | |
1013 | <td> | |
1014 | <p> | |
1015 | <span class="green">1.00<br> (1452ns)</span> | |
1016 | </p> | |
1017 | </td> | |
1018 | </tr> | |
1019 | <tr> | |
1020 | <td> | |
1021 | <p> | |
1022 | ibetac | |
1023 | </p> | |
1024 | </td> | |
1025 | <td> | |
1026 | <p> | |
1027 | <span class="blue">1.29<br> (518ns)</span> | |
1028 | </p> | |
1029 | </td> | |
1030 | <td> | |
1031 | <p> | |
1032 | <span class="red">2.94<br> (1179ns)</span> | |
1033 | </p> | |
1034 | </td> | |
1035 | <td> | |
1036 | <p> | |
1037 | <span class="blue">1.73<br> (694ns)</span> | |
1038 | </p> | |
1039 | </td> | |
1040 | <td> | |
1041 | <p> | |
1042 | <span class="green">1.00<br> (401ns)</span> | |
1043 | </p> | |
1044 | </td> | |
1045 | </tr> | |
1046 | <tr> | |
1047 | <td> | |
1048 | <p> | |
1049 | ibetac_inv | |
1050 | </p> | |
1051 | </td> | |
1052 | <td> | |
1053 | <p> | |
1054 | <span class="blue">1.41<br> (2045ns)</span> | |
1055 | </p> | |
1056 | </td> | |
1057 | <td> | |
1058 | <p> | |
1059 | <span class="red">2.80<br> (4058ns)</span> | |
1060 | </p> | |
1061 | </td> | |
1062 | <td> | |
1063 | <p> | |
1064 | <span class="blue">1.78<br> (2572ns)</span> | |
1065 | </p> | |
1066 | </td> | |
1067 | <td> | |
1068 | <p> | |
1069 | <span class="green">1.00<br> (1447ns)</span> | |
1070 | </p> | |
1071 | </td> | |
1072 | </tr> | |
1073 | <tr> | |
1074 | <td> | |
1075 | <p> | |
1076 | jacobi_cn | |
1077 | </p> | |
1078 | </td> | |
1079 | <td> | |
1080 | <p> | |
1081 | <span class="blue">1.36<br> (182ns)</span> | |
1082 | </p> | |
1083 | </td> | |
1084 | <td> | |
1085 | <p> | |
1086 | <span class="red">3.72<br> (499ns)</span> | |
1087 | </p> | |
1088 | </td> | |
1089 | <td> | |
1090 | <p> | |
1091 | <span class="red">2.28<br> (306ns)</span> | |
1092 | </p> | |
1093 | </td> | |
1094 | <td> | |
1095 | <p> | |
1096 | <span class="green">1.00<br> (134ns)</span> | |
1097 | </p> | |
1098 | </td> | |
1099 | </tr> | |
1100 | <tr> | |
1101 | <td> | |
1102 | <p> | |
1103 | jacobi_dn | |
1104 | </p> | |
1105 | </td> | |
1106 | <td> | |
1107 | <p> | |
1108 | <span class="blue">1.82<br> (262ns)</span> | |
1109 | </p> | |
1110 | </td> | |
1111 | <td> | |
1112 | <p> | |
1113 | <span class="red">3.68<br> (530ns)</span> | |
1114 | </p> | |
1115 | </td> | |
1116 | <td> | |
1117 | <p> | |
1118 | <span class="red">2.27<br> (327ns)</span> | |
1119 | </p> | |
1120 | </td> | |
1121 | <td> | |
1122 | <p> | |
1123 | <span class="green">1.00<br> (144ns)</span> | |
1124 | </p> | |
1125 | </td> | |
1126 | </tr> | |
1127 | <tr> | |
1128 | <td> | |
1129 | <p> | |
1130 | jacobi_sn | |
1131 | </p> | |
1132 | </td> | |
1133 | <td> | |
1134 | <p> | |
1135 | <span class="blue">1.31<br> (179ns)</span> | |
1136 | </p> | |
1137 | </td> | |
1138 | <td> | |
1139 | <p> | |
1140 | <span class="red">3.73<br> (511ns)</span> | |
1141 | </p> | |
1142 | </td> | |
1143 | <td> | |
1144 | <p> | |
1145 | <span class="red">2.43<br> (333ns)</span> | |
1146 | </p> | |
1147 | </td> | |
1148 | <td> | |
1149 | <p> | |
1150 | <span class="green">1.00<br> (137ns)</span> | |
1151 | </p> | |
1152 | </td> | |
1153 | </tr> | |
1154 | <tr> | |
1155 | <td> | |
1156 | <p> | |
1157 | laguerre | |
1158 | </p> | |
1159 | </td> | |
1160 | <td> | |
1161 | <p> | |
1162 | <span class="green">1.00<br> (121ns)</span> | |
1163 | </p> | |
1164 | </td> | |
1165 | <td> | |
1166 | <p> | |
1167 | <span class="green">1.15<br> (139ns)</span> | |
1168 | </p> | |
1169 | </td> | |
1170 | <td> | |
1171 | <p> | |
1172 | <span class="green">1.04<br> (126ns)</span> | |
1173 | </p> | |
1174 | </td> | |
1175 | <td> | |
1176 | <p> | |
1177 | <span class="green">1.10<br> (133ns)</span> | |
1178 | </p> | |
1179 | </td> | |
1180 | </tr> | |
1181 | <tr> | |
1182 | <td> | |
1183 | <p> | |
1184 | legendre | |
1185 | </p> | |
1186 | </td> | |
1187 | <td> | |
1188 | <p> | |
1189 | <span class="green">1.07<br> (364ns)</span> | |
1190 | </p> | |
1191 | </td> | |
1192 | <td> | |
1193 | <p> | |
1194 | <span class="green">1.16<br> (396ns)</span> | |
1195 | </p> | |
1196 | </td> | |
1197 | <td> | |
1198 | <p> | |
1199 | <span class="green">1.00<br> (340ns)</span> | |
1200 | </p> | |
1201 | </td> | |
1202 | <td> | |
1203 | <p> | |
1204 | <span class="green">1.13<br> (383ns)</span> | |
1205 | </p> | |
1206 | </td> | |
1207 | </tr> | |
1208 | <tr> | |
1209 | <td> | |
1210 | <p> | |
1211 | legendre Q | |
1212 | </p> | |
1213 | </td> | |
1214 | <td> | |
1215 | <p> | |
1216 | <span class="green">1.00<br> (427ns)</span> | |
1217 | </p> | |
1218 | </td> | |
1219 | <td> | |
1220 | <p> | |
1221 | <span class="green">1.20<br> (512ns)</span> | |
1222 | </p> | |
1223 | </td> | |
1224 | <td> | |
1225 | <p> | |
1226 | <span class="green">1.01<br> (430ns)</span> | |
1227 | </p> | |
1228 | </td> | |
1229 | <td> | |
1230 | <p> | |
1231 | <span class="green">1.07<br> (455ns)</span> | |
1232 | </p> | |
1233 | </td> | |
1234 | </tr> | |
1235 | <tr> | |
1236 | <td> | |
1237 | <p> | |
1238 | lgamma | |
1239 | </p> | |
1240 | </td> | |
1241 | <td> | |
1242 | <p> | |
1243 | <span class="green">1.00<br> (73ns)</span> | |
1244 | </p> | |
1245 | </td> | |
1246 | <td> | |
1247 | <p> | |
1248 | <span class="red">3.07<br> (224ns)</span> | |
1249 | </p> | |
1250 | </td> | |
1251 | <td> | |
1252 | <p> | |
1253 | <span class="blue">1.82<br> (133ns)</span> | |
1254 | </p> | |
1255 | </td> | |
1256 | <td> | |
1257 | <p> | |
1258 | <span class="green">1.05<br> (77ns)</span> | |
1259 | </p> | |
1260 | </td> | |
1261 | </tr> | |
1262 | <tr> | |
1263 | <td> | |
1264 | <p> | |
1265 | log1p | |
1266 | </p> | |
1267 | </td> | |
1268 | <td> | |
1269 | <p> | |
1270 | <span class="green">1.00<br> (14ns)</span> | |
1271 | </p> | |
1272 | </td> | |
1273 | <td> | |
1274 | <p> | |
1275 | <span class="blue">2.00<br> (28ns)</span> | |
1276 | </p> | |
1277 | </td> | |
1278 | <td> | |
1279 | <p> | |
1280 | <span class="green">1.14<br> (16ns)</span> | |
1281 | </p> | |
1282 | </td> | |
1283 | <td> | |
1284 | <p> | |
1285 | <span class="green">1.00<br> (14ns)</span> | |
1286 | </p> | |
1287 | </td> | |
1288 | </tr> | |
1289 | <tr> | |
1290 | <td> | |
1291 | <p> | |
1292 | polygamma | |
1293 | </p> | |
1294 | </td> | |
1295 | <td> | |
1296 | <p> | |
1297 | <span class="green">1.16<br> (3773ns)</span> | |
1298 | </p> | |
1299 | </td> | |
1300 | <td> | |
1301 | <p> | |
1302 | <span class="green">1.02<br> (3320ns)</span> | |
1303 | </p> | |
1304 | </td> | |
1305 | <td> | |
1306 | <p> | |
1307 | <span class="red">2.24<br> (7270ns)</span> | |
1308 | </p> | |
1309 | </td> | |
1310 | <td> | |
1311 | <p> | |
1312 | <span class="green">1.00<br> (3246ns)</span> | |
1313 | </p> | |
1314 | </td> | |
1315 | </tr> | |
1316 | <tr> | |
1317 | <td> | |
1318 | <p> | |
1319 | sph_bessel | |
1320 | </p> | |
1321 | </td> | |
1322 | <td> | |
1323 | <p> | |
1324 | <span class="green">1.17<br> (1005ns)</span> | |
1325 | </p> | |
1326 | </td> | |
1327 | <td> | |
1328 | <p> | |
1329 | <span class="blue">1.55<br> (1325ns)</span> | |
1330 | </p> | |
1331 | </td> | |
1332 | <td> | |
1333 | <p> | |
1334 | <span class="green">1.09<br> (931ns)</span> | |
1335 | </p> | |
1336 | </td> | |
1337 | <td> | |
1338 | <p> | |
1339 | <span class="green">1.00<br> (857ns)</span> | |
1340 | </p> | |
1341 | </td> | |
1342 | </tr> | |
1343 | <tr> | |
1344 | <td> | |
1345 | <p> | |
1346 | sph_neumann | |
1347 | </p> | |
1348 | </td> | |
1349 | <td> | |
1350 | <p> | |
1351 | <span class="green">1.08<br> (1827ns)</span> | |
1352 | </p> | |
1353 | </td> | |
1354 | <td> | |
1355 | <p> | |
1356 | <span class="red">2.07<br> (3483ns)</span> | |
1357 | </p> | |
1358 | </td> | |
1359 | <td> | |
1360 | <p> | |
1361 | <span class="green">1.00<br> (1685ns)</span> | |
1362 | </p> | |
1363 | </td> | |
1364 | <td> | |
1365 | <p> | |
1366 | <span class="green">1.01<br> (1702ns)</span> | |
1367 | </p> | |
1368 | </td> | |
1369 | </tr> | |
1370 | <tr> | |
1371 | <td> | |
1372 | <p> | |
1373 | tgamma | |
1374 | </p> | |
1375 | </td> | |
1376 | <td> | |
1377 | <p> | |
1378 | <span class="blue">1.31<br> (77ns)</span> | |
1379 | </p> | |
1380 | </td> | |
1381 | <td> | |
1382 | <p> | |
1383 | <span class="red">4.03<br> (238ns)</span> | |
1384 | </p> | |
1385 | </td> | |
1386 | <td> | |
1387 | <p> | |
1388 | <span class="red">2.49<br> (147ns)</span> | |
1389 | </p> | |
1390 | </td> | |
1391 | <td> | |
1392 | <p> | |
1393 | <span class="green">1.00<br> (59ns)</span> | |
1394 | </p> | |
1395 | </td> | |
1396 | </tr> | |
1397 | <tr> | |
1398 | <td> | |
1399 | <p> | |
1400 | tgamma (incomplete) | |
1401 | </p> | |
1402 | </td> | |
1403 | <td> | |
1404 | <p> | |
1405 | <span class="blue">1.26<br> (276ns)</span> | |
1406 | </p> | |
1407 | </td> | |
1408 | <td> | |
1409 | <p> | |
1410 | <span class="red">2.52<br> (552ns)</span> | |
1411 | </p> | |
1412 | </td> | |
1413 | <td> | |
1414 | <p> | |
1415 | <span class="blue">1.73<br> (379ns)</span> | |
1416 | </p> | |
1417 | </td> | |
1418 | <td> | |
1419 | <p> | |
1420 | <span class="green">1.00<br> (219ns)</span> | |
1421 | </p> | |
1422 | </td> | |
1423 | </tr> | |
1424 | <tr> | |
1425 | <td> | |
1426 | <p> | |
1427 | trigamma | |
1428 | </p> | |
1429 | </td> | |
1430 | <td> | |
1431 | <p> | |
1432 | <span class="blue">1.35<br> (23ns)</span> | |
1433 | </p> | |
1434 | </td> | |
1435 | <td> | |
1436 | <p> | |
1437 | <span class="red">2.88<br> (49ns)</span> | |
1438 | </p> | |
1439 | </td> | |
1440 | <td> | |
1441 | <p> | |
1442 | <span class="blue">1.41<br> (24ns)</span> | |
1443 | </p> | |
1444 | </td> | |
1445 | <td> | |
1446 | <p> | |
1447 | <span class="green">1.00<br> (17ns)</span> | |
1448 | </p> | |
1449 | </td> | |
1450 | </tr> | |
1451 | <tr> | |
1452 | <td> | |
1453 | <p> | |
1454 | zeta | |
1455 | </p> | |
1456 | </td> | |
1457 | <td> | |
1458 | <p> | |
1459 | <span class="blue">1.34<br> (121ns)</span> | |
1460 | </p> | |
1461 | </td> | |
1462 | <td> | |
1463 | <p> | |
1464 | <span class="red">3.83<br> (345ns)</span> | |
1465 | </p> | |
1466 | </td> | |
1467 | <td> | |
1468 | <p> | |
1469 | <span class="red">2.52<br> (227ns)</span> | |
1470 | </p> | |
1471 | </td> | |
1472 | <td> | |
1473 | <p> | |
1474 | <span class="green">1.00<br> (90ns)</span> | |
1475 | </p> | |
1476 | </td> | |
1477 | </tr> | |
1478 | </tbody> | |
1479 | </table></div> | |
1480 | </div> | |
1481 | <br class="table-break"><div class="table"> | |
1482 | <a name="math_toolkit.comp_compilers.table_Compiler_Comparison_on_linux"></a><p class="title"><b>Table 16.6. Compiler Comparison on linux</b></p> | |
1483 | <div class="table-contents"><table class="table" summary="Compiler Comparison on linux"> | |
1484 | <colgroup> | |
1485 | <col> | |
1486 | <col> | |
1487 | <col> | |
1488 | </colgroup> | |
1489 | <thead><tr> | |
1490 | <th> | |
1491 | <p> | |
1492 | Function | |
1493 | </p> | |
1494 | </th> | |
1495 | <th> | |
1496 | <p> | |
1497 | GNU C++ version 5.3.0<br> boost 1.61 | |
1498 | </p> | |
1499 | </th> | |
1500 | <th> | |
1501 | <p> | |
1502 | GNU C++ version 5.3.0<br> boost 1.61<br> promote_double<false> | |
1503 | </p> | |
1504 | </th> | |
1505 | </tr></thead> | |
1506 | <tbody> | |
1507 | <tr> | |
1508 | <td> | |
1509 | <p> | |
1510 | assoc_laguerre | |
1511 | </p> | |
1512 | </td> | |
1513 | <td> | |
1514 | <p> | |
1515 | <span class="blue">1.36<br> (263ns)</span> | |
1516 | </p> | |
1517 | </td> | |
1518 | <td> | |
1519 | <p> | |
1520 | <span class="green">1.00<br> (194ns)</span> | |
1521 | </p> | |
1522 | </td> | |
1523 | </tr> | |
1524 | <tr> | |
1525 | <td> | |
1526 | <p> | |
1527 | assoc_legendre | |
1528 | </p> | |
1529 | </td> | |
1530 | <td> | |
1531 | <p> | |
1532 | <span class="red">2.55<br> (258ns)</span> | |
1533 | </p> | |
1534 | </td> | |
1535 | <td> | |
1536 | <p> | |
1537 | <span class="green">1.00<br> (101ns)</span> | |
1538 | </p> | |
1539 | </td> | |
1540 | </tr> | |
1541 | <tr> | |
1542 | <td> | |
1543 | <p> | |
1544 | beta | |
1545 | </p> | |
1546 | </td> | |
1547 | <td> | |
1548 | <p> | |
1549 | <span class="red">4.71<br> (734ns)</span> | |
1550 | </p> | |
1551 | </td> | |
1552 | <td> | |
1553 | <p> | |
1554 | <span class="green">1.00<br> (156ns)</span> | |
1555 | </p> | |
1556 | </td> | |
1557 | </tr> | |
1558 | <tr> | |
1559 | <td> | |
1560 | <p> | |
1561 | beta (incomplete) | |
1562 | </p> | |
1563 | </td> | |
1564 | <td> | |
1565 | <p> | |
1566 | <span class="red">3.12<br> (1796ns)</span> | |
1567 | </p> | |
1568 | </td> | |
1569 | <td> | |
1570 | <p> | |
1571 | <span class="green">1.00<br> (575ns)</span> | |
1572 | </p> | |
1573 | </td> | |
1574 | </tr> | |
1575 | <tr> | |
1576 | <td> | |
1577 | <p> | |
1578 | cbrt | |
1579 | </p> | |
1580 | </td> | |
1581 | <td> | |
1582 | <p> | |
1583 | <span class="red">2.53<br> (43ns)</span> | |
1584 | </p> | |
1585 | </td> | |
1586 | <td> | |
1587 | <p> | |
1588 | <span class="green">1.00<br> (17ns)</span> | |
1589 | </p> | |
1590 | </td> | |
1591 | </tr> | |
1592 | <tr> | |
1593 | <td> | |
1594 | <p> | |
1595 | cyl_bessel_i | |
1596 | </p> | |
1597 | </td> | |
1598 | <td> | |
1599 | <p> | |
1600 | <span class="red">3.47<br> (1410ns)</span> | |
1601 | </p> | |
1602 | </td> | |
1603 | <td> | |
1604 | <p> | |
1605 | <span class="green">1.00<br> (406ns)</span> | |
1606 | </p> | |
1607 | </td> | |
1608 | </tr> | |
1609 | <tr> | |
1610 | <td> | |
1611 | <p> | |
1612 | cyl_bessel_i (integer order) | |
1613 | </p> | |
1614 | </td> | |
1615 | <td> | |
1616 | <p> | |
1617 | <span class="red">3.38<br> (893ns)</span> | |
1618 | </p> | |
1619 | </td> | |
1620 | <td> | |
1621 | <p> | |
1622 | <span class="green">1.00<br> (264ns)</span> | |
1623 | </p> | |
1624 | </td> | |
1625 | </tr> | |
1626 | <tr> | |
1627 | <td> | |
1628 | <p> | |
1629 | cyl_bessel_j | |
1630 | </p> | |
1631 | </td> | |
1632 | <td> | |
1633 | <p> | |
1634 | <span class="red">2.69<br> (1071ns)</span> | |
1635 | </p> | |
1636 | </td> | |
1637 | <td> | |
1638 | <p> | |
1639 | <span class="green">1.00<br> (398ns)</span> | |
1640 | </p> | |
1641 | </td> | |
1642 | </tr> | |
1643 | <tr> | |
1644 | <td> | |
1645 | <p> | |
1646 | cyl_bessel_j (integer order) | |
1647 | </p> | |
1648 | </td> | |
1649 | <td> | |
1650 | <p> | |
1651 | <span class="red">2.59<br> (275ns)</span> | |
1652 | </p> | |
1653 | </td> | |
1654 | <td> | |
1655 | <p> | |
1656 | <span class="green">1.00<br> (106ns)</span> | |
1657 | </p> | |
1658 | </td> | |
1659 | </tr> | |
1660 | <tr> | |
1661 | <td> | |
1662 | <p> | |
1663 | cyl_bessel_k | |
1664 | </p> | |
1665 | </td> | |
1666 | <td> | |
1667 | <p> | |
1668 | <span class="red">6.86<br> (4589ns)</span> | |
1669 | </p> | |
1670 | </td> | |
1671 | <td> | |
1672 | <p> | |
1673 | <span class="green">1.00<br> (669ns)</span> | |
1674 | </p> | |
1675 | </td> | |
1676 | </tr> | |
1677 | <tr> | |
1678 | <td> | |
1679 | <p> | |
1680 | cyl_bessel_k (integer order) | |
1681 | </p> | |
1682 | </td> | |
1683 | <td> | |
1684 | <p> | |
1685 | <span class="red">10.17<br> (3673ns)</span> | |
1686 | </p> | |
1687 | </td> | |
1688 | <td> | |
1689 | <p> | |
1690 | <span class="green">1.00<br> (361ns)</span> | |
1691 | </p> | |
1692 | </td> | |
1693 | </tr> | |
1694 | <tr> | |
1695 | <td> | |
1696 | <p> | |
1697 | cyl_neumann | |
1698 | </p> | |
1699 | </td> | |
1700 | <td> | |
1701 | <p> | |
1702 | <span class="red">2.48<br> (1478ns)</span> | |
1703 | </p> | |
1704 | </td> | |
1705 | <td> | |
1706 | <p> | |
1707 | <span class="green">1.00<br> (597ns)</span> | |
1708 | </p> | |
1709 | </td> | |
1710 | </tr> | |
1711 | <tr> | |
1712 | <td> | |
1713 | <p> | |
1714 | cyl_neumann (integer order) | |
1715 | </p> | |
1716 | </td> | |
1717 | <td> | |
1718 | <p> | |
1719 | <span class="red">2.20<br> (484ns)</span> | |
1720 | </p> | |
1721 | </td> | |
1722 | <td> | |
1723 | <p> | |
1724 | <span class="green">1.00<br> (220ns)</span> | |
1725 | </p> | |
1726 | </td> | |
1727 | </tr> | |
1728 | <tr> | |
1729 | <td> | |
1730 | <p> | |
1731 | digamma | |
1732 | </p> | |
1733 | </td> | |
1734 | <td> | |
1735 | <p> | |
1736 | <span class="blue">1.92<br> (75ns)</span> | |
1737 | </p> | |
1738 | </td> | |
1739 | <td> | |
1740 | <p> | |
1741 | <span class="green">1.00<br> (39ns)</span> | |
1742 | </p> | |
1743 | </td> | |
1744 | </tr> | |
1745 | <tr> | |
1746 | <td> | |
1747 | <p> | |
1748 | ellint_1 | |
1749 | </p> | |
1750 | </td> | |
1751 | <td> | |
1752 | <p> | |
1753 | <span class="blue">1.94<br> (358ns)</span> | |
1754 | </p> | |
1755 | </td> | |
1756 | <td> | |
1757 | <p> | |
1758 | <span class="green">1.00<br> (185ns)</span> | |
1759 | </p> | |
1760 | </td> | |
1761 | </tr> | |
1762 | <tr> | |
1763 | <td> | |
1764 | <p> | |
1765 | ellint_1 (complete) | |
1766 | </p> | |
1767 | </td> | |
1768 | <td> | |
1769 | <p> | |
1770 | <span class="blue">1.86<br> (52ns)</span> | |
1771 | </p> | |
1772 | </td> | |
1773 | <td> | |
1774 | <p> | |
1775 | <span class="green">1.00<br> (28ns)</span> | |
1776 | </p> | |
1777 | </td> | |
1778 | </tr> | |
1779 | <tr> | |
1780 | <td> | |
1781 | <p> | |
1782 | ellint_2 | |
1783 | </p> | |
1784 | </td> | |
1785 | <td> | |
1786 | <p> | |
1787 | <span class="red">2.32<br> (805ns)</span> | |
1788 | </p> | |
1789 | </td> | |
1790 | <td> | |
1791 | <p> | |
1792 | <span class="green">1.00<br> (347ns)</span> | |
1793 | </p> | |
1794 | </td> | |
1795 | </tr> | |
1796 | <tr> | |
1797 | <td> | |
1798 | <p> | |
1799 | ellint_2 (complete) | |
1800 | </p> | |
1801 | </td> | |
1802 | <td> | |
1803 | <p> | |
1804 | <span class="blue">1.71<br> (60ns)</span> | |
1805 | </p> | |
1806 | </td> | |
1807 | <td> | |
1808 | <p> | |
1809 | <span class="green">1.00<br> (35ns)</span> | |
1810 | </p> | |
1811 | </td> | |
1812 | </tr> | |
1813 | <tr> | |
1814 | <td> | |
1815 | <p> | |
1816 | ellint_3 | |
1817 | </p> | |
1818 | </td> | |
1819 | <td> | |
1820 | <p> | |
1821 | <span class="red">2.75<br> (2154ns)</span> | |
1822 | </p> | |
1823 | </td> | |
1824 | <td> | |
1825 | <p> | |
1826 | <span class="green">1.00<br> (783ns)</span> | |
1827 | </p> | |
1828 | </td> | |
1829 | </tr> | |
1830 | <tr> | |
1831 | <td> | |
1832 | <p> | |
1833 | ellint_3 (complete) | |
1834 | </p> | |
1835 | </td> | |
1836 | <td> | |
1837 | <p> | |
1838 | <span class="red">2.23<br> (1172ns)</span> | |
1839 | </p> | |
1840 | </td> | |
1841 | <td> | |
1842 | <p> | |
1843 | <span class="green">1.00<br> (525ns)</span> | |
1844 | </p> | |
1845 | </td> | |
1846 | </tr> | |
1847 | <tr> | |
1848 | <td> | |
1849 | <p> | |
1850 | ellint_rc | |
1851 | </p> | |
1852 | </td> | |
1853 | <td> | |
1854 | <p> | |
1855 | <span class="blue">1.57<br> (77ns)</span> | |
1856 | </p> | |
1857 | </td> | |
1858 | <td> | |
1859 | <p> | |
1860 | <span class="green">1.00<br> (49ns)</span> | |
1861 | </p> | |
1862 | </td> | |
1863 | </tr> | |
1864 | <tr> | |
1865 | <td> | |
1866 | <p> | |
1867 | ellint_rd | |
1868 | </p> | |
1869 | </td> | |
1870 | <td> | |
1871 | <p> | |
1872 | <span class="red">2.23<br> (520ns)</span> | |
1873 | </p> | |
1874 | </td> | |
1875 | <td> | |
1876 | <p> | |
1877 | <span class="green">1.00<br> (233ns)</span> | |
1878 | </p> | |
1879 | </td> | |
1880 | </tr> | |
1881 | <tr> | |
1882 | <td> | |
1883 | <p> | |
1884 | ellint_rf | |
1885 | </p> | |
1886 | </td> | |
1887 | <td> | |
1888 | <p> | |
1889 | <span class="blue">1.51<br> (95ns)</span> | |
1890 | </p> | |
1891 | </td> | |
1892 | <td> | |
1893 | <p> | |
1894 | <span class="green">1.00<br> (63ns)</span> | |
1895 | </p> | |
1896 | </td> | |
1897 | </tr> | |
1898 | <tr> | |
1899 | <td> | |
1900 | <p> | |
1901 | ellint_rj | |
1902 | </p> | |
1903 | </td> | |
1904 | <td> | |
1905 | <p> | |
1906 | <span class="red">2.33<br> (481ns)</span> | |
1907 | </p> | |
1908 | </td> | |
1909 | <td> | |
1910 | <p> | |
1911 | <span class="green">1.00<br> (206ns)</span> | |
1912 | </p> | |
1913 | </td> | |
1914 | </tr> | |
1915 | <tr> | |
1916 | <td> | |
1917 | <p> | |
1918 | erf | |
1919 | </p> | |
1920 | </td> | |
1921 | <td> | |
1922 | <p> | |
1923 | <span class="red">2.60<br> (39ns)</span> | |
1924 | </p> | |
1925 | </td> | |
1926 | <td> | |
1927 | <p> | |
1928 | <span class="green">1.00<br> (15ns)</span> | |
1929 | </p> | |
1930 | </td> | |
1931 | </tr> | |
1932 | <tr> | |
1933 | <td> | |
1934 | <p> | |
1935 | erfc | |
1936 | </p> | |
1937 | </td> | |
1938 | <td> | |
1939 | <p> | |
1940 | <span class="red">2.68<br> (59ns)</span> | |
1941 | </p> | |
1942 | </td> | |
1943 | <td> | |
1944 | <p> | |
1945 | <span class="green">1.00<br> (22ns)</span> | |
1946 | </p> | |
1947 | </td> | |
1948 | </tr> | |
1949 | <tr> | |
1950 | <td> | |
1951 | <p> | |
1952 | expint | |
1953 | </p> | |
1954 | </td> | |
1955 | <td> | |
1956 | <p> | |
1957 | <span class="red">2.47<br> (94ns)</span> | |
1958 | </p> | |
1959 | </td> | |
1960 | <td> | |
1961 | <p> | |
1962 | <span class="green">1.00<br> (38ns)</span> | |
1963 | </p> | |
1964 | </td> | |
1965 | </tr> | |
1966 | <tr> | |
1967 | <td> | |
1968 | <p> | |
1969 | expint (En) | |
1970 | </p> | |
1971 | </td> | |
1972 | <td> | |
1973 | <p> | |
1974 | <span class="blue">1.86<br> (273ns)</span> | |
1975 | </p> | |
1976 | </td> | |
1977 | <td> | |
1978 | <p> | |
1979 | <span class="green">1.00<br> (147ns)</span> | |
1980 | </p> | |
1981 | </td> | |
1982 | </tr> | |
1983 | <tr> | |
1984 | <td> | |
1985 | <p> | |
1986 | expm1 | |
1987 | </p> | |
1988 | </td> | |
1989 | <td> | |
1990 | <p> | |
1991 | <span class="green">1.00<br> (10ns)</span> | |
1992 | </p> | |
1993 | </td> | |
1994 | <td> | |
1995 | <p> | |
1996 | <span class="green">1.10<br> (11ns)</span> | |
1997 | </p> | |
1998 | </td> | |
1999 | </tr> | |
2000 | <tr> | |
2001 | <td> | |
2002 | <p> | |
2003 | gamma_p | |
2004 | </p> | |
2005 | </td> | |
2006 | <td> | |
2007 | <p> | |
2008 | <span class="red">2.42<br> (492ns)</span> | |
2009 | </p> | |
2010 | </td> | |
2011 | <td> | |
2012 | <p> | |
2013 | <span class="green">1.00<br> (203ns)</span> | |
2014 | </p> | |
2015 | </td> | |
2016 | </tr> | |
2017 | <tr> | |
2018 | <td> | |
2019 | <p> | |
2020 | gamma_p_inv | |
2021 | </p> | |
2022 | </td> | |
2023 | <td> | |
2024 | <p> | |
2025 | <span class="red">2.24<br> (1577ns)</span> | |
2026 | </p> | |
2027 | </td> | |
2028 | <td> | |
2029 | <p> | |
2030 | <span class="green">1.00<br> (704ns)</span> | |
2031 | </p> | |
2032 | </td> | |
2033 | </tr> | |
2034 | <tr> | |
2035 | <td> | |
2036 | <p> | |
2037 | gamma_q | |
2038 | </p> | |
2039 | </td> | |
2040 | <td> | |
2041 | <p> | |
2042 | <span class="red">2.53<br> (508ns)</span> | |
2043 | </p> | |
2044 | </td> | |
2045 | <td> | |
2046 | <p> | |
2047 | <span class="green">1.00<br> (201ns)</span> | |
2048 | </p> | |
2049 | </td> | |
2050 | </tr> | |
2051 | <tr> | |
2052 | <td> | |
2053 | <p> | |
2054 | gamma_q_inv | |
2055 | </p> | |
2056 | </td> | |
2057 | <td> | |
2058 | <p> | |
2059 | <span class="red">2.45<br> (1841ns)</span> | |
2060 | </p> | |
2061 | </td> | |
2062 | <td> | |
2063 | <p> | |
2064 | <span class="green">1.00<br> (751ns)</span> | |
2065 | </p> | |
2066 | </td> | |
2067 | </tr> | |
2068 | <tr> | |
2069 | <td> | |
2070 | <p> | |
2071 | ibeta | |
2072 | </p> | |
2073 | </td> | |
2074 | <td> | |
2075 | <p> | |
2076 | <span class="red">2.71<br> (1715ns)</span> | |
2077 | </p> | |
2078 | </td> | |
2079 | <td> | |
2080 | <p> | |
2081 | <span class="green">1.00<br> (634ns)</span> | |
2082 | </p> | |
2083 | </td> | |
2084 | </tr> | |
2085 | <tr> | |
2086 | <td> | |
2087 | <p> | |
2088 | ibeta_inv | |
2089 | </p> | |
2090 | </td> | |
2091 | <td> | |
2092 | <p> | |
2093 | <span class="red">2.58<br> (5742ns)</span> | |
2094 | </p> | |
2095 | </td> | |
2096 | <td> | |
2097 | <p> | |
2098 | <span class="green">1.00<br> (2224ns)</span> | |
2099 | </p> | |
2100 | </td> | |
2101 | </tr> | |
2102 | <tr> | |
2103 | <td> | |
2104 | <p> | |
2105 | ibetac | |
2106 | </p> | |
2107 | </td> | |
2108 | <td> | |
2109 | <p> | |
2110 | <span class="red">2.66<br> (1736ns)</span> | |
2111 | </p> | |
2112 | </td> | |
2113 | <td> | |
2114 | <p> | |
2115 | <span class="green">1.00<br> (653ns)</span> | |
2116 | </p> | |
2117 | </td> | |
2118 | </tr> | |
2119 | <tr> | |
2120 | <td> | |
2121 | <p> | |
2122 | ibetac_inv | |
2123 | </p> | |
2124 | </td> | |
2125 | <td> | |
2126 | <p> | |
2127 | <span class="red">2.44<br> (5451ns)</span> | |
2128 | </p> | |
2129 | </td> | |
2130 | <td> | |
2131 | <p> | |
2132 | <span class="green">1.00<br> (2237ns)</span> | |
2133 | </p> | |
2134 | </td> | |
2135 | </tr> | |
2136 | <tr> | |
2137 | <td> | |
2138 | <p> | |
2139 | jacobi_cn | |
2140 | </p> | |
2141 | </td> | |
2142 | <td> | |
2143 | <p> | |
2144 | <span class="red">2.77<br> (476ns)</span> | |
2145 | </p> | |
2146 | </td> | |
2147 | <td> | |
2148 | <p> | |
2149 | <span class="green">1.00<br> (172ns)</span> | |
2150 | </p> | |
2151 | </td> | |
2152 | </tr> | |
2153 | <tr> | |
2154 | <td> | |
2155 | <p> | |
2156 | jacobi_dn | |
2157 | </p> | |
2158 | </td> | |
2159 | <td> | |
2160 | <p> | |
2161 | <span class="red">2.80<br> (481ns)</span> | |
2162 | </p> | |
2163 | </td> | |
2164 | <td> | |
2165 | <p> | |
2166 | <span class="green">1.00<br> (172ns)</span> | |
2167 | </p> | |
2168 | </td> | |
2169 | </tr> | |
2170 | <tr> | |
2171 | <td> | |
2172 | <p> | |
2173 | jacobi_sn | |
2174 | </p> | |
2175 | </td> | |
2176 | <td> | |
2177 | <p> | |
2178 | <span class="red">2.86<br> (492ns)</span> | |
2179 | </p> | |
2180 | </td> | |
2181 | <td> | |
2182 | <p> | |
2183 | <span class="green">1.00<br> (172ns)</span> | |
2184 | </p> | |
2185 | </td> | |
2186 | </tr> | |
2187 | <tr> | |
2188 | <td> | |
2189 | <p> | |
2190 | laguerre | |
2191 | </p> | |
2192 | </td> | |
2193 | <td> | |
2194 | <p> | |
2195 | <span class="green">1.09<br> (139ns)</span> | |
2196 | </p> | |
2197 | </td> | |
2198 | <td> | |
2199 | <p> | |
2200 | <span class="green">1.00<br> (128ns)</span> | |
2201 | </p> | |
2202 | </td> | |
2203 | </tr> | |
2204 | <tr> | |
2205 | <td> | |
2206 | <p> | |
2207 | legendre | |
2208 | </p> | |
2209 | </td> | |
2210 | <td> | |
2211 | <p> | |
2212 | <span class="green">1.16<br> (399ns)</span> | |
2213 | </p> | |
2214 | </td> | |
2215 | <td> | |
2216 | <p> | |
2217 | <span class="green">1.00<br> (345ns)</span> | |
2218 | </p> | |
2219 | </td> | |
2220 | </tr> | |
2221 | <tr> | |
2222 | <td> | |
2223 | <p> | |
2224 | legendre Q | |
2225 | </p> | |
2226 | </td> | |
2227 | <td> | |
2228 | <p> | |
2229 | <span class="green">1.18<br> (496ns)</span> | |
2230 | </p> | |
2231 | </td> | |
2232 | <td> | |
2233 | <p> | |
2234 | <span class="green">1.00<br> (422ns)</span> | |
2235 | </p> | |
2236 | </td> | |
2237 | </tr> | |
2238 | <tr> | |
2239 | <td> | |
2240 | <p> | |
2241 | lgamma | |
2242 | </p> | |
2243 | </td> | |
2244 | <td> | |
2245 | <p> | |
2246 | <span class="red">2.20<br> (257ns)</span> | |
2247 | </p> | |
2248 | </td> | |
2249 | <td> | |
2250 | <p> | |
2251 | <span class="green">1.00<br> (117ns)</span> | |
2252 | </p> | |
2253 | </td> | |
2254 | </tr> | |
2255 | <tr> | |
2256 | <td> | |
2257 | <p> | |
2258 | log1p | |
2259 | </p> | |
2260 | </td> | |
2261 | <td> | |
2262 | <p> | |
2263 | <span class="green">1.00<br> (12ns)</span> | |
2264 | </p> | |
2265 | </td> | |
2266 | <td> | |
2267 | <p> | |
2268 | <span class="green">1.00<br> (12ns)</span> | |
2269 | </p> | |
2270 | </td> | |
2271 | </tr> | |
2272 | <tr> | |
2273 | <td> | |
2274 | <p> | |
2275 | polygamma | |
2276 | </p> | |
2277 | </td> | |
2278 | <td> | |
2279 | <p> | |
2280 | <span class="red">3.93<br> (2885ns)</span> | |
2281 | </p> | |
2282 | </td> | |
2283 | <td> | |
2284 | <p> | |
2285 | <span class="green">1.00<br> (734ns)</span> | |
2286 | </p> | |
2287 | </td> | |
2288 | </tr> | |
2289 | <tr> | |
2290 | <td> | |
2291 | <p> | |
2292 | sph_bessel | |
2293 | </p> | |
2294 | </td> | |
2295 | <td> | |
2296 | <p> | |
2297 | <span class="blue">1.71<br> (1563ns)</span> | |
2298 | </p> | |
2299 | </td> | |
2300 | <td> | |
2301 | <p> | |
2302 | <span class="green">1.00<br> (915ns)</span> | |
2303 | </p> | |
2304 | </td> | |
2305 | </tr> | |
2306 | <tr> | |
2307 | <td> | |
2308 | <p> | |
2309 | sph_neumann | |
2310 | </p> | |
2311 | </td> | |
2312 | <td> | |
2313 | <p> | |
2314 | <span class="red">2.15<br> (3745ns)</span> | |
2315 | </p> | |
2316 | </td> | |
2317 | <td> | |
2318 | <p> | |
2319 | <span class="green">1.00<br> (1744ns)</span> | |
2320 | </p> | |
2321 | </td> | |
2322 | </tr> | |
2323 | <tr> | |
2324 | <td> | |
2325 | <p> | |
2326 | tgamma | |
2327 | </p> | |
2328 | </td> | |
2329 | <td> | |
2330 | <p> | |
2331 | <span class="red">3.69<br> (354ns)</span> | |
2332 | </p> | |
2333 | </td> | |
2334 | <td> | |
2335 | <p> | |
2336 | <span class="green">1.00<br> (96ns)</span> | |
2337 | </p> | |
2338 | </td> | |
2339 | </tr> | |
2340 | <tr> | |
2341 | <td> | |
2342 | <p> | |
2343 | tgamma (incomplete) | |
2344 | </p> | |
2345 | </td> | |
2346 | <td> | |
2347 | <p> | |
2348 | <span class="red">2.35<br> (744ns)</span> | |
2349 | </p> | |
2350 | </td> | |
2351 | <td> | |
2352 | <p> | |
2353 | <span class="green">1.00<br> (316ns)</span> | |
2354 | </p> | |
2355 | </td> | |
2356 | </tr> | |
2357 | <tr> | |
2358 | <td> | |
2359 | <p> | |
2360 | trigamma | |
2361 | </p> | |
2362 | </td> | |
2363 | <td> | |
2364 | <p> | |
2365 | <span class="blue">1.64<br> (36ns)</span> | |
2366 | </p> | |
2367 | </td> | |
2368 | <td> | |
2369 | <p> | |
2370 | <span class="green">1.00<br> (22ns)</span> | |
2371 | </p> | |
2372 | </td> | |
2373 | </tr> | |
2374 | <tr> | |
2375 | <td> | |
2376 | <p> | |
2377 | zeta | |
2378 | </p> | |
2379 | </td> | |
2380 | <td> | |
2381 | <p> | |
2382 | <span class="red">2.71<br> (509ns)</span> | |
2383 | </p> | |
2384 | </td> | |
2385 | <td> | |
2386 | <p> | |
2387 | <span class="green">1.00<br> (188ns)</span> | |
2388 | </p> | |
2389 | </td> | |
2390 | </tr> | |
2391 | </tbody> | |
2392 | </table></div> | |
2393 | </div> | |
2394 | <br class="table-break"> | |
2395 | </div> | |
2396 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
2397 | <td align="left"></td> | |
2398 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
2399 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
2400 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
2401 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> | |
2402 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
2403 | file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) | |
2404 | </p> | |
2405 | </div></td> | |
2406 | </tr></table> | |
2407 | <hr> | |
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