51 template <
typename DT,
typename PT,
typename WT>
56 INTREPID2_TEST_FOR_EXCEPTION( degree < 0 ||
58 ">>> ERROR (CubatureDirectTetSymmetric): No cubature rule implemented for the desired polynomial degree.");
60 typedef Kokkos::DynRankView<PT,Kokkos::LayoutRight,Kokkos::HostSpace> pointViewHostType;
61 typedef Kokkos::DynRankView<WT,Kokkos::LayoutRight,Kokkos::HostSpace> weightViewHostType;
71 auto points = Kokkos::create_mirror_view(
typename DT::memory_space(), points_host);
73 Kokkos::deep_copy(points,points_host);
76 this->
cubatureData_.
points_ = Kokkos::DynRankView<PT,DT>(
"CubatureDirectTetSymmetric::cubatureData_::points_",
88 this->
cubatureData_.
weights_ = Kokkos::DynRankView<WT,DT>(
"CubatureDirectTetSymmetric::cubatureData_::weights_",
91 Kokkos::deep_copy(Kokkos::subdynrankview(this->
cubatureData_.
weights_, Kokkos::ALL()) , Kokkos::subdynrankview(weights, Kokkos::ALL()));
109 template<
typename DT,
typename PT,
typename WT>
112 cubatureDataStatic_[cubatureDataStaticSize] = {
117 {{1./4., 1./4., 1./4.}},
122 {{1./4., 1./4., 1./4.}},
127 {{0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280},
128 {0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280},
129 {0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280},
130 {0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161}},
138 {{0.3286811466653490, 0.3286811466653490, 0.3286811466653490},
139 {0.0139565600039530, 0.3286811466653490, 0.3286811466653490},
140 {0.3286811466653490, 0.0139565600039530, 0.3286811466653490},
141 {0.3286811466653490, 0.3286811466653490, 0.0139565600039530},
142 {0.1119207275092916, 0.1119207275092916, 0.1119207275092916},
143 {0.6642378174721254, 0.1119207275092916, 0.1119207275092916},
144 {0.1119207275092916, 0.6642378174721254, 0.1119207275092916},
145 {0.1119207275092916, 0.1119207275092916, 0.6642378174721254}},
157 {{0.3095821653179519, 0.3095821653179519, 0.3095821653179519},
158 {0.0712535040461443, 0.3095821653179519, 0.3095821653179519},
159 {0.3095821653179519, 0.0712535040461443, 0.3095821653179519},
160 {0.3095821653179519, 0.3095821653179519, 0.0712535040461443},
161 {0.0834427723039776, 0.0834427723039776, 0.0834427723039776},
162 {0.7496716830880673, 0.0834427723039776, 0.0834427723039776},
163 {0.0834427723039776, 0.7496716830880673, 0.0834427723039776},
164 {0.0834427723039776, 0.0834427723039776, 0.7496716830880673},
165 {0.0772209540700587, 0.4227790459299413, 0.4227790459299413},
166 {0.4227790459299413, 0.0772209540700587, 0.4227790459299413},
167 {0.0772209540700587, 0.0772209540700587, 0.4227790459299413},
168 {0.4227790459299413, 0.4227790459299413, 0.0772209540700587},
169 {0.0772209540700587, 0.4227790459299413, 0.0772209540700587},
170 {0.4227790459299413, 0.0772209540700587, 0.0772209540700587}},
188 {{0.3108859192633006, 0.3108859192633006, 0.3108859192633006},
189 {0.0673422422100982, 0.3108859192633006, 0.3108859192633006},
190 {0.3108859192633006, 0.0673422422100982, 0.3108859192633006},
191 {0.3108859192633006, 0.3108859192633006, 0.0673422422100982},
192 {0.0927352503108912, 0.0927352503108912, 0.0927352503108912},
193 {0.7217942490673264, 0.0927352503108912, 0.0927352503108912},
194 {0.0927352503108912, 0.7217942490673264, 0.0927352503108912},
195 {0.0927352503108912, 0.0927352503108912, 0.7217942490673264},
196 {0.0455037041256496, 0.4544962958743504, 0.4544962958743504},
197 {0.4544962958743504, 0.0455037041256496, 0.4544962958743504},
198 {0.0455037041256496, 0.0455037041256496, 0.4544962958743504},
199 {0.4544962958743504, 0.4544962958743504, 0.0455037041256496},
200 {0.0455037041256496, 0.4544962958743504, 0.0455037041256496},
201 {0.4544962958743504, 0.0455037041256496, 0.0455037041256496}},
219 {{0.0406739585346114, 0.0406739585346114, 0.0406739585346114},
220 {0.8779781243961660, 0.0406739585346114, 0.0406739585346114},
221 {0.0406739585346114, 0.8779781243961660, 0.0406739585346114},
222 {0.0406739585346114, 0.0406739585346114, 0.8779781243961660},
223 {0.3223378901422755, 0.3223378901422755, 0.3223378901422755},
224 {0.0329863295731735, 0.3223378901422755, 0.3223378901422755},
225 {0.3223378901422755, 0.0329863295731735, 0.3223378901422755},
226 {0.3223378901422755, 0.3223378901422755, 0.0329863295731735},
227 {0.2146028712591520, 0.2146028712591520, 0.2146028712591520},
228 {0.3561913862225439, 0.2146028712591520, 0.2146028712591520},
229 {0.2146028712591520, 0.3561913862225439, 0.2146028712591520},
230 {0.2146028712591520, 0.2146028712591520, 0.3561913862225439},
231 {0.6030056647916492, 0.0636610018750175, 0.0636610018750175},
232 {0.0636610018750175, 0.6030056647916492, 0.0636610018750175},
233 {0.0636610018750175, 0.0636610018750175, 0.6030056647916492},
234 {0.2696723314583158, 0.0636610018750175, 0.0636610018750175},
235 {0.2696723314583158, 0.6030056647916492, 0.0636610018750175},
236 {0.2696723314583158, 0.0636610018750175, 0.6030056647916492},
237 {0.0636610018750175, 0.2696723314583158, 0.0636610018750175},
238 {0.6030056647916492, 0.2696723314583158, 0.0636610018750175},
239 {0.0636610018750175, 0.2696723314583158, 0.6030056647916492},
240 {0.0636610018750175, 0.0636610018750175, 0.2696723314583158},
241 {0.6030056647916492, 0.0636610018750175, 0.2696723314583158},
242 {0.0636610018750175, 0.6030056647916492, 0.2696723314583158}},
270 {{0.2500000000000000, 0.2500000000000000, 0.2500000000000000},
271 {0.3157011497782028, 0.3157011497782028, 0.3157011497782028},
272 {0.0528965506653916, 0.3157011497782028, 0.3157011497782028},
273 {0.3157011497782028, 0.0528965506653916, 0.3157011497782028},
274 {0.3157011497782028, 0.3157011497782028, 0.0528965506653916},
275 {0.0504898225983964, 0.4495101774016036, 0.4495101774016036},
276 {0.4495101774016036, 0.0504898225983964, 0.4495101774016036},
277 {0.0504898225983964, 0.0504898225983964, 0.4495101774016036},
278 {0.4495101774016036, 0.4495101774016036, 0.0504898225983964},
279 {0.0504898225983964, 0.4495101774016036, 0.0504898225983964},
280 {0.4495101774016036, 0.0504898225983964, 0.0504898225983964},
281 {0.8108302410985485, 0.0212654725414832, 0.0212654725414832},
282 {0.0212654725414832, 0.8108302410985485, 0.0212654725414832},
283 {0.0212654725414832, 0.0212654725414832, 0.8108302410985485},
284 {0.1466388138184850, 0.0212654725414832, 0.0212654725414832},
285 {0.1466388138184850, 0.8108302410985485, 0.0212654725414832},
286 {0.1466388138184850, 0.0212654725414832, 0.8108302410985485},
287 {0.0212654725414832, 0.1466388138184850, 0.0212654725414832},
288 {0.8108302410985485, 0.1466388138184850, 0.0212654725414832},
289 {0.0212654725414832, 0.1466388138184850, 0.8108302410985485},
290 {0.0212654725414832, 0.0212654725414832, 0.1466388138184850},
291 {0.8108302410985485, 0.0212654725414832, 0.1466388138184850},
292 {0.0212654725414832, 0.8108302410985485, 0.1466388138184850},
293 {0.5751716375870001, 0.1888338310260010, 0.1888338310260010},
294 {0.1888338310260010, 0.5751716375870001, 0.1888338310260010},
295 {0.1888338310260010, 0.1888338310260010, 0.5751716375870001},
296 {0.0471607003609979, 0.1888338310260010, 0.1888338310260010},
297 {0.0471607003609979, 0.5751716375870001, 0.1888338310260010},
298 {0.0471607003609979, 0.1888338310260010, 0.5751716375870001},
299 {0.1888338310260010, 0.0471607003609979, 0.1888338310260010},
300 {0.5751716375870001, 0.0471607003609979, 0.1888338310260010},
301 {0.1888338310260010, 0.0471607003609979, 0.5751716375870001},
302 {0.1888338310260010, 0.1888338310260010, 0.0471607003609979},
303 {0.5751716375870001, 0.1888338310260010, 0.0471607003609979},
304 {0.1888338310260010, 0.5751716375870001, 0.0471607003609979}},
343 {{0.1868127582707210, 0.1868127582707210, 0.1868127582707210},
344 {0.4395617251878371, 0.1868127582707210, 0.1868127582707210},
345 {0.1868127582707210, 0.4395617251878371, 0.1868127582707210},
346 {0.1868127582707210, 0.1868127582707210, 0.4395617251878371},
347 {0.1144624067612305, 0.1144624067612305, 0.1144624067612305},
348 {0.6566127797163085, 0.1144624067612305, 0.1144624067612305},
349 {0.1144624067612305, 0.6566127797163085, 0.1144624067612305},
350 {0.1144624067612305, 0.1144624067612305, 0.6566127797163085},
351 {0.3138065922724016, 0.3138065922724016, 0.3138065922724016},
352 {0.0585802231827951, 0.3138065922724016, 0.3138065922724016},
353 {0.3138065922724016, 0.0585802231827951, 0.3138065922724016},
354 {0.3138065922724016, 0.3138065922724016, 0.0585802231827951},
355 {0.0445773794488462, 0.0445773794488462, 0.0445773794488462},
356 {0.8662678616534613, 0.0445773794488462, 0.0445773794488462},
357 {0.0445773794488462, 0.8662678616534613, 0.0445773794488462},
358 {0.0445773794488462, 0.0445773794488462, 0.8662678616534613},
359 {0.4345165094561576, 0.0654834905438424, 0.0654834905438424},
360 {0.0654834905438424, 0.4345165094561576, 0.0654834905438424},
361 {0.4345165094561576, 0.4345165094561576, 0.0654834905438424},
362 {0.0654834905438424, 0.0654834905438424, 0.4345165094561576},
363 {0.4345165094561576, 0.0654834905438424, 0.4345165094561576},
364 {0.0654834905438424, 0.4345165094561576, 0.4345165094561576},
365 {0.0050733207504216, 0.2038931746621103, 0.2038931746621103},
366 {0.2038931746621103, 0.0050733207504216, 0.2038931746621103},
367 {0.2038931746621103, 0.2038931746621103, 0.0050733207504216},
368 {0.5871403299253578, 0.2038931746621103, 0.2038931746621103},
369 {0.5871403299253578, 0.0050733207504216, 0.2038931746621103},
370 {0.5871403299253578, 0.2038931746621103, 0.0050733207504216},
371 {0.2038931746621103, 0.5871403299253578, 0.2038931746621103},
372 {0.0050733207504216, 0.5871403299253578, 0.2038931746621103},
373 {0.2038931746621103, 0.5871403299253578, 0.0050733207504216},
374 {0.2038931746621103, 0.2038931746621103, 0.5871403299253578},
375 {0.0050733207504216, 0.2038931746621103, 0.5871403299253578},
376 {0.2038931746621103, 0.0050733207504216, 0.5871403299253578},
377 {0.7146769263933049, 0.0212477796695717, 0.0212477796695717},
378 {0.0212477796695717, 0.7146769263933049, 0.0212477796695717},
379 {0.0212477796695717, 0.0212477796695717, 0.7146769263933049},
380 {0.2428275142675518, 0.0212477796695717, 0.0212477796695717},
381 {0.2428275142675518, 0.7146769263933049, 0.0212477796695717},
382 {0.2428275142675518, 0.0212477796695717, 0.7146769263933049},
383 {0.0212477796695717, 0.2428275142675518, 0.0212477796695717},
384 {0.7146769263933049, 0.2428275142675518, 0.0212477796695717},
385 {0.0212477796695717, 0.2428275142675518, 0.7146769263933049},
386 {0.0212477796695717, 0.0212477796695717, 0.2428275142675518},
387 {0.7146769263933049, 0.0212477796695717, 0.2428275142675518},
388 {0.0212477796695717, 0.7146769263933049, 0.2428275142675518}},
438 {{0.2500000000000000, 0.2500000000000000, 0.2500000000000000},
439 {0.1679066052367428, 0.1679066052367428, 0.1679066052367428},
440 {0.4962801842897716, 0.1679066052367428, 0.1679066052367428},
441 {0.1679066052367428, 0.4962801842897716, 0.1679066052367428},
442 {0.1679066052367428, 0.1679066052367428, 0.4962801842897716},
443 {0.0914362705140763, 0.0914362705140763, 0.0914362705140763},
444 {0.7256911884577713, 0.0914362705140763, 0.0914362705140763},
445 {0.0914362705140763, 0.7256911884577713, 0.0914362705140763},
446 {0.0914362705140763, 0.0914362705140763, 0.7256911884577713},
447 {0.3218556648176533, 0.3218556648176533, 0.3218556648176533},
448 {0.0344330055470402, 0.3218556648176533, 0.3218556648176533},
449 {0.3218556648176533, 0.0344330055470402, 0.3218556648176533},
450 {0.3218556648176533, 0.3218556648176533, 0.0344330055470402},
451 {0.0418376959003656, 0.0418376959003656, 0.0418376959003656},
452 {0.8744869122989032, 0.0418376959003656, 0.0418376959003656},
453 {0.0418376959003656, 0.8744869122989032, 0.0418376959003656},
454 {0.0418376959003656, 0.0418376959003656, 0.8744869122989032},
455 {0.3932705614251537, 0.1067294385748464, 0.1067294385748464},
456 {0.1067294385748464, 0.3932705614251537, 0.1067294385748464},
457 {0.3932705614251537, 0.3932705614251537, 0.1067294385748464},
458 {0.1067294385748464, 0.1067294385748464, 0.3932705614251537},
459 {0.3932705614251537, 0.1067294385748464, 0.3932705614251537},
460 {0.1067294385748464, 0.3932705614251537, 0.3932705614251537},
461 {0.7183930939814244, 0.0339571681830889, 0.0339571681830889},
462 {0.0339571681830889, 0.7183930939814244, 0.0339571681830889},
463 {0.0339571681830889, 0.0339571681830889, 0.7183930939814244},
464 {0.2136925696523978, 0.0339571681830889, 0.0339571681830889},
465 {0.2136925696523978, 0.7183930939814244, 0.0339571681830889},
466 {0.2136925696523978, 0.0339571681830889, 0.7183930939814244},
467 {0.0339571681830889, 0.2136925696523978, 0.0339571681830889},
468 {0.7183930939814244, 0.2136925696523978, 0.0339571681830889},
469 {0.0339571681830889, 0.2136925696523978, 0.7183930939814244},
470 {0.0339571681830889, 0.0339571681830889, 0.2136925696523978},
471 {0.7183930939814244, 0.0339571681830889, 0.2136925696523978},
472 {0.0339571681830889, 0.7183930939814244, 0.2136925696523978},
473 {0.0786836344766879, 0.4606581810547776, 0.4606581810547776},
474 {0.4606581810547776, 0.0786836344766879, 0.4606581810547776},
475 {0.4606581810547776, 0.4606581810547776, 0.0786836344766879},
476 {0.0000000034137568, 0.4606581810547776, 0.4606581810547776},
477 {0.0000000034137568, 0.0786836344766879, 0.4606581810547776},
478 {0.0000000034137568, 0.4606581810547776, 0.0786836344766879},
479 {0.4606581810547776, 0.0000000034137568, 0.4606581810547776},
480 {0.0786836344766879, 0.0000000034137568, 0.4606581810547776},
481 {0.4606581810547776, 0.0000000034137568, 0.0786836344766879},
482 {0.4606581810547776, 0.4606581810547776, 0.0000000034137568},
483 {0.0786836344766879, 0.4606581810547776, 0.0000000034137568},
484 {0.4606581810547776, 0.0786836344766879, 0.0000000034137568},
485 {0.5972107227618499, 0.1843879435000152, 0.1843879435000152},
486 {0.1843879435000152, 0.5972107227618499, 0.1843879435000152},
487 {0.1843879435000152, 0.1843879435000152, 0.5972107227618499},
488 {0.0340133902381197, 0.1843879435000152, 0.1843879435000152},
489 {0.0340133902381197, 0.5972107227618499, 0.1843879435000152},
490 {0.0340133902381197, 0.1843879435000152, 0.5972107227618499},
491 {0.1843879435000152, 0.0340133902381197, 0.1843879435000152},
492 {0.5972107227618499, 0.0340133902381197, 0.1843879435000152},
493 {0.1843879435000152, 0.0340133902381197, 0.5972107227618499},
494 {0.1843879435000152, 0.1843879435000152, 0.0340133902381197},
495 {0.5972107227618499, 0.1843879435000152, 0.0340133902381197},
496 {0.1843879435000152, 0.5972107227618499, 0.0340133902381197}},
559 {{0.2500000000000000, 0.2500000000000000, 0.2500000000000000},
560 {0.0725517574174378, 0.0725517574174378, 0.0725517574174378},
561 {0.7823447277476866, 0.0725517574174378, 0.0725517574174378},
562 {0.0725517574174378, 0.7823447277476866, 0.0725517574174378},
563 {0.0725517574174378, 0.0725517574174378, 0.7823447277476866},
564 {0.3078959478669229, 0.3078959478669229, 0.3078959478669229},
565 {0.0763121563992313, 0.3078959478669229, 0.3078959478669229},
566 {0.3078959478669229, 0.0763121563992313, 0.3078959478669229},
567 {0.3078959478669229, 0.3078959478669229, 0.0763121563992313},
568 {0.4762808603927791, 0.0237191396072209, 0.0237191396072209},
569 {0.0237191396072209, 0.4762808603927791, 0.0237191396072209},
570 {0.4762808603927791, 0.4762808603927791, 0.0237191396072209},
571 {0.0237191396072209, 0.0237191396072209, 0.4762808603927791},
572 {0.4762808603927791, 0.0237191396072209, 0.4762808603927791},
573 {0.0237191396072209, 0.4762808603927791, 0.4762808603927791},
574 {0.0965797730691073, 0.4034202269308927, 0.4034202269308927},
575 {0.4034202269308927, 0.0965797730691073, 0.4034202269308927},
576 {0.0965797730691073, 0.0965797730691073, 0.4034202269308927},
577 {0.4034202269308927, 0.4034202269308927, 0.0965797730691073},
578 {0.0965797730691073, 0.4034202269308927, 0.0965797730691073},
579 {0.4034202269308927, 0.0965797730691073, 0.0965797730691073},
580 {0.0738541810184862, 0.2017386068476799, 0.2017386068476799},
581 {0.2017386068476799, 0.0738541810184862, 0.2017386068476799},
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6276 {0.3053177470209279, 0.5431130574905816, 0.1053191068972152},
6277 {0.1053191068972152, 0.3053177470209279, 0.5431130574905816},
6278 {0.3053177470209279, 0.1053191068972152, 0.5431130574905816},
6279 {0.0462500885912754, 0.1053191068972152, 0.3053177470209279},
6280 {0.0462500885912754, 0.3053177470209279, 0.1053191068972152},
6281 {0.0462500885912754, 0.5431130574905816, 0.3053177470209279},
6282 {0.0462500885912754, 0.5431130574905816, 0.1053191068972152},
6283 {0.0462500885912754, 0.3053177470209279, 0.5431130574905816},
6284 {0.0462500885912754, 0.1053191068972152, 0.5431130574905816},
6285 {0.1053191068972152, 0.0462500885912754, 0.3053177470209279},
6286 {0.3053177470209279, 0.0462500885912754, 0.1053191068972152},
6287 {0.5431130574905816, 0.0462500885912754, 0.3053177470209279},
6288 {0.5431130574905816, 0.0462500885912754, 0.1053191068972152},
6289 {0.3053177470209279, 0.0462500885912754, 0.5431130574905816},
6290 {0.1053191068972152, 0.0462500885912754, 0.5431130574905816},
6291 {0.1053191068972152, 0.3053177470209279, 0.0462500885912754},
6292 {0.3053177470209279, 0.1053191068972152, 0.0462500885912754},
6293 {0.5431130574905816, 0.3053177470209279, 0.0462500885912754},
6294 {0.5431130574905816, 0.1053191068972152, 0.0462500885912754},
6295 {0.3053177470209279, 0.5431130574905816, 0.0462500885912754},
6296 {0.1053191068972152, 0.5431130574905816, 0.0462500885912754},
6297 {0.0087923252192588, 0.3387615700292962, 0.2521955658942761},
6298 {0.0087923252192588, 0.2521955658942761, 0.3387615700292962},
6299 {0.3387615700292962, 0.0087923252192588, 0.2521955658942761},
6300 {0.2521955658942761, 0.0087923252192588, 0.3387615700292962},
6301 {0.3387615700292962, 0.2521955658942761, 0.0087923252192588},
6302 {0.2521955658942761, 0.3387615700292962, 0.0087923252192588},
6303 {0.4002505388571689, 0.3387615700292962, 0.2521955658942761},
6304 {0.4002505388571689, 0.2521955658942761, 0.3387615700292962},
6305 {0.4002505388571689, 0.0087923252192588, 0.2521955658942761},
6306 {0.4002505388571689, 0.0087923252192588, 0.3387615700292962},
6307 {0.4002505388571689, 0.2521955658942761, 0.0087923252192588},
6308 {0.4002505388571689, 0.3387615700292962, 0.0087923252192588},
6309 {0.3387615700292962, 0.4002505388571689, 0.2521955658942761},
6310 {0.2521955658942761, 0.4002505388571689, 0.3387615700292962},
6311 {0.0087923252192588, 0.4002505388571689, 0.2521955658942761},
6312 {0.0087923252192588, 0.4002505388571689, 0.3387615700292962},
6313 {0.2521955658942761, 0.4002505388571689, 0.0087923252192588},
6314 {0.3387615700292962, 0.4002505388571689, 0.0087923252192588},
6315 {0.3387615700292962, 0.2521955658942761, 0.4002505388571689},
6316 {0.2521955658942761, 0.3387615700292962, 0.4002505388571689},
6317 {0.0087923252192588, 0.2521955658942761, 0.4002505388571689},
6318 {0.0087923252192588, 0.3387615700292962, 0.4002505388571689},
6319 {0.2521955658942761, 0.0087923252192588, 0.4002505388571689},
6320 {0.3387615700292962, 0.0087923252192588, 0.4002505388571689}},
6321 {0.0009030757983474,
static const CubatureDataStatic cubatureDataStatic_[cubatureDataStaticSize]
Complete set of data defining default cubature rules on a triangle.
static constexpr ordinal_type MaxDimension
The maximum ambient space dimension.
static constexpr ordinal_type MaxCubatureDegreeTet
The maximum degree of the polynomial that can be integrated exactly by a direct tetrahedron rule...
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 integration rules on a tetrahedron. These quadrature rules are symmetric (invariant un...
CubatureDirectTetSymmetric(const ordinal_type degree=0)
Constructor.
Defines direct cubature (integration) rules in Intrepid.
Cubature data is defined on the host space and is static.
Kokkos::DynRankView< pointValueType, DeviceType > points_
Array with the (X,Y,Z) coordinates of the cubature points.
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.