18 template <
typename DT,
typename PT,
typename WT>
23 INTREPID2_TEST_FOR_EXCEPTION( degree < 0 ||
24 degree >= cubatureDataStaticSize, std::out_of_range,
25 ">>> ERROR (CubatureDirectTriSymmetric): No cubature rule implemented for the desired polynomial degree.");
27 typedef Kokkos::DynRankView<PT,Kokkos::LayoutRight,Kokkos::HostSpace> pointViewHostType;
28 typedef Kokkos::DynRankView<WT,Kokkos::LayoutRight,Kokkos::HostSpace> weightViewHostType;
38 auto points = Kokkos::create_mirror_view(
typename DT::memory_space(), points_host);
40 Kokkos::deep_copy(points,points_host);
43 this->
cubatureData_.
points_ = Kokkos::DynRankView<PT,DT>(
"CubatureDirectTriSymmetric::cubatureData_::points_",
55 this->
cubatureData_.
weights_ = Kokkos::DynRankView<WT,DT>(
"CubatureDirectTriSymmetric::cubatureData_::weights_",
58 Kokkos::deep_copy(Kokkos::subdynrankview(this->
cubatureData_.
weights_, Kokkos::ALL()) , Kokkos::subdynrankview(weights, Kokkos::ALL()));
76 template<
typename DT,
typename PT,
typename WT>
79 cubatureDataStatic_[cubatureDataStaticSize] = {
84 {{1./3., 1./3., 0.0}},
89 {{1./3., 1./3., 0.0}},
103 {{0.4459484909159648, 0.1081030181680703, 0.0},
104 {0.4459484909159649, 0.4459484909159649, 0.0},
105 {0.1081030181680702, 0.4459484909159651, 0.0},
106 {0.0915762135097707, 0.0915762135097709, 0.0},
107 {0.8168475729804584, 0.0915762135097707, 0.0},
108 {0.0915762135097710, 0.8168475729804585, 0.0}},
118 {{0.4459484909159648, 0.1081030181680703, 0.0},
119 {0.4459484909159649, 0.4459484909159649, 0.0},
120 {0.1081030181680702, 0.4459484909159651, 0.0},
121 {0.0915762135097707, 0.0915762135097709, 0.0},
122 {0.8168475729804584, 0.0915762135097707, 0.0},
123 {0.0915762135097710, 0.8168475729804585, 0.0}},
133 {{0.1012865073234563, 0.1012865073234565, 0.0},
134 {0.7974269853530872, 0.1012865073234562, 0.0},
135 {0.1012865073234565, 0.7974269853530874, 0.0},
136 {0.4701420641051151, 0.0597158717897699, 0.0},
137 {0.4701420641051151, 0.4701420641051151, 0.0},
138 {0.0597158717897698, 0.4701420641051153, 0.0},
139 {0.3333333333333333, 0.3333333333333334, 0.0}},
150 {{0.2194299825497829, 0.2194299825497831, 0.0},
151 {0.5611400349004340, 0.2194299825497830, 0.0},
152 {0.2194299825497830, 0.5611400349004342, 0.0},
153 {0.4801379641122150, 0.0397240717755700, 0.0},
154 {0.4801379641122151, 0.4801379641122150, 0.0},
155 {0.0397240717755699, 0.4801379641122153, 0.0},
156 {0.1416190159239681, 0.0193717243612408, 0.0},
157 {0.8390092597147910, 0.1416190159239681, 0.0},
158 {0.0193717243612410, 0.8390092597147911, 0.0},
159 {0.8390092597147911, 0.0193717243612408, 0.0},
160 {0.1416190159239681, 0.8390092597147912, 0.0},
161 {0.0193717243612406, 0.1416190159239684, 0.0}},
177 {{0.4731956536892510, 0.0536086926214979, 0.0},
178 {0.4731956536892510, 0.4731956536892511, 0.0},
179 {0.0536086926214978, 0.4731956536892513, 0.0},
180 {0.0577976400545063, 0.0577976400545066, 0.0},
181 {0.8844047198909870, 0.0577976400545063, 0.0},
182 {0.0577976400545066, 0.8844047198909872, 0.0},
183 {0.2593390118657857, 0.0469712061300856, 0.0},
184 {0.6936897820041288, 0.2593390118657857, 0.0},
185 {0.0469712061300856, 0.6936897820041289, 0.0},
186 {0.6936897820041288, 0.0469712061300856, 0.0},
187 {0.2593390118657857, 0.6936897820041289, 0.0},
188 {0.0469712061300854, 0.2593390118657859, 0.0},
189 {0.2416636063972473, 0.2416636063972475, 0.0},
190 {0.5166727872055051, 0.2416636063972474, 0.0},
191 {0.2416636063972475, 0.5166727872055052, 0.0}},
210 {{0.1705693077517601, 0.1705693077517604, 0.0},
211 {0.6588613844964795, 0.1705693077517602, 0.0},
212 {0.1705693077517604, 0.6588613844964796, 0.0},
213 {0.4592925882927231, 0.0814148234145537, 0.0},
214 {0.4592925882927231, 0.4592925882927232, 0.0},
215 {0.0814148234145537, 0.4592925882927233, 0.0},
216 {0.3333333333333333, 0.3333333333333334, 0.0},
217 {0.0505472283170309, 0.0505472283170312, 0.0},
218 {0.8989055433659379, 0.0505472283170309, 0.0},
219 {0.0505472283170313, 0.8989055433659381, 0.0},
220 {0.2631128296346381, 0.0083947774099577, 0.0},
221 {0.7284923929554042, 0.2631128296346381, 0.0},
222 {0.0083947774099577, 0.7284923929554045, 0.0},
223 {0.7284923929554042, 0.0083947774099577, 0.0},
224 {0.2631128296346381, 0.7284923929554044, 0.0},
225 {0.0083947774099575, 0.2631128296346383, 0.0}},
245 {{0.4896825191987376, 0.0206349616025248, 0.0},
246 {0.4896825191987376, 0.4896825191987377, 0.0},
247 {0.0206349616025247, 0.4896825191987378, 0.0},
248 {0.3333333333333333, 0.3333333333333334, 0.0},
249 {0.1882035356190326, 0.1882035356190329, 0.0},
250 {0.6235929287619344, 0.1882035356190327, 0.0},
251 {0.1882035356190329, 0.6235929287619346, 0.0},
252 {0.2219629891607657, 0.0368384120547363, 0.0},
253 {0.7411985987844980, 0.2219629891607657, 0.0},
254 {0.0368384120547364, 0.7411985987844981, 0.0},
255 {0.7411985987844980, 0.0368384120547363, 0.0},
256 {0.2219629891607658, 0.7411985987844981, 0.0},
257 {0.0368384120547361, 0.2219629891607660, 0.0},
258 {0.4370895914929366, 0.1258208170141268, 0.0},
259 {0.4370895914929366, 0.4370895914929367, 0.0},
260 {0.1258208170141267, 0.4370895914929368, 0.0},
261 {0.0447295133944526, 0.0447295133944529, 0.0},
262 {0.9105409732110945, 0.0447295133944525, 0.0},
263 {0.0447295133944530, 0.9105409732110946, 0.0}},
286 {{0.4951734598011704, 0.0096530803976591, 0.0},
287 {0.4951734598011704, 0.4951734598011706, 0.0},
288 {0.0096530803976590, 0.4951734598011707, 0.0},
289 {0.0191394152428411, 0.0191394152428414, 0.0},
290 {0.9617211695143175, 0.0191394152428411, 0.0},
291 {0.0191394152428416, 0.9617211695143175, 0.0},
292 {0.1337347551008691, 0.0347236204823275, 0.0},
293 {0.8315416244168033, 0.1337347551008691, 0.0},
294 {0.0347236204823275, 0.8315416244168037, 0.0},
295 {0.8315416244168033, 0.0347236204823275, 0.0},
296 {0.1337347551008692, 0.8315416244168035, 0.0},
297 {0.0347236204823273, 0.1337347551008694, 0.0},
298 {0.3333333333333333, 0.3333333333333334, 0.0},
299 {0.3266931362813369, 0.0375827273411917, 0.0},
300 {0.6357241363774715, 0.3266931362813369, 0.0},
301 {0.0375827273411917, 0.6357241363774715, 0.0},
302 {0.6357241363774714, 0.0375827273411917, 0.0},
303 {0.3266931362813369, 0.6357241363774715, 0.0},
304 {0.0375827273411916, 0.3266931362813372, 0.0},
305 {0.1844850126852464, 0.1844850126852466, 0.0},
306 {0.6310299746295069, 0.1844850126852465, 0.0},
307 {0.1844850126852466, 0.6310299746295072, 0.0},
308 {0.4282348209437188, 0.1435303581125623, 0.0},
309 {0.4282348209437188, 0.4282348209437189, 0.0},
310 {0.1435303581125623, 0.4282348209437190, 0.0}},
339 {{0.0308468956355879, 0.0308468956355882, 0.0},
340 {0.9383062087288239, 0.0308468956355879, 0.0},
341 {0.0308468956355883, 0.9383062087288241, 0.0},
342 {0.4987801651784607, 0.0024396696430785, 0.0},
343 {0.4987801651784607, 0.4987801651784608, 0.0},
344 {0.0024396696430784, 0.4987801651784610, 0.0},
345 {0.1593036198376935, 0.0143666625695556, 0.0},
346 {0.8263297175927509, 0.1593036198376935, 0.0},
347 {0.0143666625695557, 0.8263297175927511, 0.0},
348 {0.8263297175927509, 0.0143666625695556, 0.0},
349 {0.1593036198376935, 0.8263297175927511, 0.0},
350 {0.0143666625695554, 0.1593036198376938, 0.0},
351 {0.3333333333333333, 0.3333333333333334, 0.0},
352 {0.1132078272866939, 0.1132078272866941, 0.0},
353 {0.7735843454266120, 0.1132078272866939, 0.0},
354 {0.1132078272866941, 0.7735843454266123, 0.0},
355 {0.4366550163931761, 0.1266899672136478, 0.0},
356 {0.4366550163931761, 0.4366550163931761, 0.0},
357 {0.1266899672136477, 0.4366550163931763, 0.0},
358 {0.2144834586192693, 0.2144834586192694, 0.0},
359 {0.5710330827614613, 0.2144834586192693, 0.0},
360 {0.2144834586192694, 0.5710330827614615, 0.0},
361 {0.3106312163134631, 0.0476640669721508, 0.0},
362 {0.6417047167143861, 0.3106312163134631, 0.0},
363 {0.0476640669721508, 0.6417047167143863, 0.0},
364 {0.6417047167143860, 0.0476640669721508, 0.0},
365 {0.3106312163134631, 0.6417047167143861, 0.0},
366 {0.0476640669721507, 0.3106312163134634, 0.0}},
398 {{0.2714625070149260, 0.2714625070149262, 0.0},
399 {0.4570749859701477, 0.2714625070149261, 0.0},
400 {0.2714625070149261, 0.4570749859701479, 0.0},
401 {0.1092578276593542, 0.1092578276593545, 0.0},
402 {0.7814843446812912, 0.1092578276593542, 0.0},
403 {0.1092578276593545, 0.7814843446812915, 0.0},
404 {0.4401116486585931, 0.1197767026828138, 0.0},
405 {0.4401116486585931, 0.4401116486585931, 0.0},
406 {0.1197767026828138, 0.4401116486585933, 0.0},
407 {0.2554542286385173, 0.1162960196779266, 0.0},
408 {0.6282497516835561, 0.2554542286385174, 0.0},
409 {0.1162960196779266, 0.6282497516835562, 0.0},
410 {0.6282497516835561, 0.1162960196779266, 0.0},
411 {0.2554542286385174, 0.6282497516835562, 0.0},
412 {0.1162960196779265, 0.2554542286385176, 0.0},
413 {0.1272797172335894, 0.0213824902561706, 0.0},
414 {0.8513377925102400, 0.1272797172335893, 0.0},
415 {0.0213824902561707, 0.8513377925102402, 0.0},
416 {0.8513377925102400, 0.0213824902561706, 0.0},
417 {0.1272797172335894, 0.8513377925102402, 0.0},
418 {0.0213824902561704, 0.1272797172335897, 0.0},
419 {0.2916556797383409, 0.0230341563552672, 0.0},
420 {0.6853101639063919, 0.2916556797383410, 0.0},
421 {0.0230341563552672, 0.6853101639063921, 0.0},
422 {0.6853101639063919, 0.0230341563552672, 0.0},
423 {0.2916556797383410, 0.6853101639063920, 0.0},
424 {0.0230341563552670, 0.2916556797383412, 0.0},
425 {0.4882037509455415, 0.0235924981089169, 0.0},
426 {0.4882037509455415, 0.4882037509455416, 0.0},
427 {0.0235924981089169, 0.4882037509455417, 0.0},
428 {0.0246463634363355, 0.0246463634363358, 0.0},
429 {0.9507072731273287, 0.0246463634363355, 0.0},
430 {0.0246463634363359, 0.9507072731273288, 0.0}},
467 {{0.4961358947410461, 0.0077282105179079, 0.0},
468 {0.4961358947410460, 0.4961358947410461, 0.0},
469 {0.0077282105179078, 0.4961358947410462, 0.0},
470 {0.4696086896534919, 0.0607826206930162, 0.0},
471 {0.4696086896534918, 0.4696086896534920, 0.0},
472 {0.0607826206930162, 0.4696086896534921, 0.0},
473 {0.2311102849490822, 0.2311102849490824, 0.0},
474 {0.5377794301018355, 0.2311102849490823, 0.0},
475 {0.2311102849490823, 0.5377794301018356, 0.0},
476 {0.2920786885766364, 0.0189880043837590, 0.0},
477 {0.6889333070396045, 0.2920786885766364, 0.0},
478 {0.0189880043837591, 0.6889333070396048, 0.0},
479 {0.6889333070396045, 0.0189880043837590, 0.0},
480 {0.2920786885766364, 0.6889333070396046, 0.0},
481 {0.0189880043837589, 0.2920786885766367, 0.0},
482 {0.3333333333333333, 0.3333333333333334, 0.0},
483 {0.2667452533103511, 0.0977360310660166, 0.0},
484 {0.6355187156236324, 0.2667452533103512, 0.0},
485 {0.0977360310660165, 0.6355187156236326, 0.0},
486 {0.6355187156236323, 0.0977360310660166, 0.0},
487 {0.2667452533103513, 0.6355187156236323, 0.0},
488 {0.0977360310660164, 0.2667452533103514, 0.0},
489 {0.4144775702790545, 0.1710448594418909, 0.0},
490 {0.4144775702790545, 0.4144775702790546, 0.0},
491 {0.1710448594418908, 0.4144775702790547, 0.0},
492 {0.1135599125721331, 0.1135599125721333, 0.0},
493 {0.7728801748557336, 0.1135599125721331, 0.0},
494 {0.1135599125721334, 0.7728801748557337, 0.0},
495 {0.1267997757838373, 0.0219663442065293, 0.0},
496 {0.8512338800096334, 0.1267997757838373, 0.0},
497 {0.0219663442065294, 0.8512338800096335, 0.0},
498 {0.8512338800096334, 0.0219663442065293, 0.0},
499 {0.1267997757838374, 0.8512338800096335, 0.0},
500 {0.0219663442065290, 0.1267997757838377, 0.0},
501 {0.0248959314912162, 0.0248959314912165, 0.0},
502 {0.9502081370175671, 0.0248959314912162, 0.0},
503 {0.0248959314912167, 0.9502081370175673, 0.0}},
544 {{0.4176447193404539, 0.1647105613190922, 0.0},
545 {0.4176447193404539, 0.4176447193404541, 0.0},
546 {0.1647105613190921, 0.4176447193404541, 0.0},
547 {0.2983728821362577, 0.0146469500556545, 0.0},
548 {0.6869801678080878, 0.2983728821362578, 0.0},
549 {0.0146469500556545, 0.6869801678080880, 0.0},
550 {0.6869801678080878, 0.0146469500556545, 0.0},
551 {0.2983728821362577, 0.6869801678080880, 0.0},
552 {0.0146469500556543, 0.2983728821362580, 0.0},
553 {0.0617998830908725, 0.0617998830908728, 0.0},
554 {0.8764002338182547, 0.0617998830908724, 0.0},
555 {0.0617998830908729, 0.8764002338182548, 0.0},
556 {0.3368614597963450, 0.0929162493569719, 0.0},
557 {0.5702222908466831, 0.3368614597963451, 0.0},
558 {0.0929162493569718, 0.5702222908466833, 0.0},
559 {0.5702222908466831, 0.0929162493569719, 0.0},
560 {0.3368614597963450, 0.5702222908466833, 0.0},
561 {0.0929162493569718, 0.3368614597963452, 0.0},
562 {0.2734775283088386, 0.2734775283088388, 0.0},
563 {0.4530449433823227, 0.2734775283088387, 0.0},
564 {0.2734775283088388, 0.4530449433823228, 0.0},
565 {0.1772055324125434, 0.1772055324125436, 0.0},
566 {0.6455889351749130, 0.1772055324125434, 0.0},
567 {0.1772055324125437, 0.6455889351749131, 0.0},
568 {0.0193909612487009, 0.0193909612487012, 0.0},
569 {0.9612180775025979, 0.0193909612487009, 0.0},
570 {0.0193909612487014, 0.9612180775025979, 0.0},
571 {0.4889639103621786, 0.0220721792756428, 0.0},
572 {0.4889639103621787, 0.4889639103621786, 0.0},
573 {0.0220721792756427, 0.4889639103621788, 0.0},
574 {0.1722666878213555, 0.0571247574036480, 0.0},
575 {0.7706085547749963, 0.1722666878213556, 0.0},
576 {0.0571247574036480, 0.7706085547749967, 0.0},
577 {0.7706085547749965, 0.0571247574036480, 0.0},
578 {0.1722666878213556, 0.7706085547749966, 0.0},
579 {0.0571247574036478, 0.1722666878213558, 0.0},
580 {0.1189744976969568, 0.0012683309328721, 0.0},
581 {0.8797571713701711, 0.1189744976969568, 0.0},
582 {0.0012683309328722, 0.8797571713701712, 0.0},
583 {0.8797571713701712, 0.0012683309328721, 0.0},
584 {0.1189744976969569, 0.8797571713701712, 0.0},
585 {0.0012683309328719, 0.1189744976969572, 0.0}},
631 {{0.1299782299330778, 0.1299782299330780, 0.0},
632 {0.7400435401338442, 0.1299782299330778, 0.0},
633 {0.1299782299330779, 0.7400435401338445, 0.0},
634 {0.3333333333333333, 0.3333333333333334, 0.0},
635 {0.4600769492970597, 0.0798461014058806, 0.0},
636 {0.4600769492970597, 0.4600769492970598, 0.0},
637 {0.0798461014058805, 0.4600769492970599, 0.0},
638 {0.1823217834071913, 0.0845942214821918, 0.0},
639 {0.7330839951106168, 0.1823217834071913, 0.0},
640 {0.0845942214821919, 0.7330839951106169, 0.0},
641 {0.7330839951106169, 0.0845942214821918, 0.0},
642 {0.1823217834071914, 0.7330839951106171, 0.0},
643 {0.0845942214821916, 0.1823217834071916, 0.0},
644 {0.1502003840652387, 0.0160270897863455, 0.0},
645 {0.8337725261484157, 0.1502003840652387, 0.0},
646 {0.0160270897863456, 0.8337725261484159, 0.0},
647 {0.8337725261484158, 0.0160270897863455, 0.0},
648 {0.1502003840652388, 0.8337725261484159, 0.0},
649 {0.0160270897863453, 0.1502003840652391, 0.0},
650 {0.3231113151637127, 0.0976504424302424, 0.0},
651 {0.5792382424060449, 0.3231113151637127, 0.0},
652 {0.0976504424302423, 0.5792382424060452, 0.0},
653 {0.5792382424060449, 0.0976504424302424, 0.0},
654 {0.3231113151637127, 0.5792382424060450, 0.0},
655 {0.0976504424302423, 0.3231113151637129, 0.0},
656 {0.4916858166302972, 0.0166283667394056, 0.0},
657 {0.4916858166302972, 0.4916858166302973, 0.0},
658 {0.0166283667394055, 0.4916858166302975, 0.0},
659 {0.2215323407951419, 0.2215323407951421, 0.0},
660 {0.5569353184097160, 0.2215323407951420, 0.0},
661 {0.2215323407951421, 0.5569353184097161, 0.0},
662 {0.3969337374090606, 0.2061325251818789, 0.0},
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2019 {0.9865374582242232, 0.0067312708878882, 0.0},
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static constexpr ordinal_type MaxDimension
The maximum ambient space dimension.
Kokkos::DynRankView< weightValueType, DeviceType > weights_
Array with the associated cubature weights.
CubatureData cubatureData_
Cubature data on device.
ordinal_type numPoints_
Number of cubature points stored in the template.
Defines direct cubature (integration) rules in Intrepid.
Cubature data is defined on the host space and is static.
CubatureDirectTriSymmetric(const ordinal_type degree=0)
Constructor.
Kokkos::DynRankView< pointValueType, DeviceType > points_
Array with the (X,Y,Z) coordinates of the cubature points.
static const CubatureDataStatic cubatureDataStatic_[cubatureDataStaticSize]
Complete set of data defining default cubature rules on a triangle.
ordinal_type numPoints_
Number of cubature points stored in the template.
ordinal_type degree_
The degree of polynomials that are integrated exactly by this cubature rule.