51 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
53 this->degree_ = degree;
55 TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM),
57 ">>> ERROR (CubatureDirectTriDefault): No direct cubature rule implemented for the desired polynomial degree.");
62 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
64 return cubature_data_;
69 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
71 return INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM;
76 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
78 return cubature_name_;
83 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
101 template <
class Scalar,
class ArrayPo
int,
class ArrayWeight>
108 {{1./3., 1./3., 0.0}},
113 {{1./3., 1./3., 0.0}},
118 {{1./6., 1./6., 0.0},
120 {2./3., 1./6., 0.0}},
127 {{1./3., 1./3., 0.0},
130 {3./5., 1./5., 0.0}},
138 {{4.4594849091596487577332043252695176084800e-1, 4.4594849091596487577332043252695176084800e-1, 0.0},
139 {4.4594849091596487577332043252695176084800e-1, 1.0810301816807024845335913494609647830400e-1, 0.0},
140 {1.0810301816807024845335913494609647830400e-1, 4.4594849091596487577332043252695176084800e-1, 0.0},
141 {9.1576213509770745141706146463816673424873e-2, 9.1576213509770745141706146463816673424873e-2, 0.0},
142 {9.1576213509770745141706146463816673424873e-2, 8.1684757298045850971658770707236665315025e-1, 0.0},
143 {8.1684757298045850971658770707236665315025e-1, 9.1576213509770745141706146463816673424873e-2, 0.0}},
144 {1.1169079483900573053953942803038657817028e-1,
145 1.1169079483900573053953942803038657817028e-1,
146 1.1169079483900573053953942803038657817028e-1,
147 5.4975871827660936395761590801109078322738e-2,
148 5.4975871827660936395761590801109078322738e-2,
149 5.4975871827660936395761590801109078322738e-2}
153 {{3.3333333333333333333333333333333333333333e-1, 3.3333333333333333333333333333333333333333e-1, 0.0},
154 {1.0128650732345633880098736191512382805558e-1, 1.0128650732345633880098736191512382805558e-1, 0.0},
155 {7.9742698535308732239802527616975234388885e-1, 1.0128650732345633880098736191512382805558e-1, 0.0},
156 {1.0128650732345633880098736191512382805558e-1, 7.9742698535308732239802527616975234388885e-1, 0.0},
157 {4.7014206410511508977044120951344760051585e-1, 4.7014206410511508977044120951344760051585e-1, 0.0},
158 {5.9715871789769820459117580973104798968293e-2, 4.7014206410511508977044120951344760051585e-1, 0.0},
159 {4.7014206410511508977044120951344760051585e-1, 5.9715871789769820459117580973104798968293e-2, 0.0}},
160 {1.1250000000000000000000000000000000000000e-1,
161 6.2969590272413576297841972750090666828820e-2,
162 6.2969590272413576297841972750090666828820e-2,
163 6.2969590272413576297841972750090666828820e-2,
164 6.6197076394253090368824693916575999837847e-2,
165 6.6197076394253090368824693916575999837847e-2,
166 6.6197076394253090368824693916575999837847e-2}
170 {{6.3089014491502228340331602870819157341003e-2, 6.3089014491502228340331602870819157341003e-2, 0.0},
171 {6.3089014491502228340331602870819157341003e-2, 8.7382197101699554331933679425836168531799e-1, 0.0},
172 {8.7382197101699554331933679425836168531799e-1, 6.3089014491502228340331602870819157341003e-2, 0.0},
173 {2.4928674517091042129163855310701907608796e-1, 2.4928674517091042129163855310701907608796e-1, 0.0},
174 {2.4928674517091042129163855310701907608796e-1, 5.0142650965817915741672289378596184782407e-1, 0.0},
175 {5.0142650965817915741672289378596184782407e-1, 2.4928674517091042129163855310701907608796e-1, 0.0},
176 {3.1035245103378441286759566723265117140082e-1, 5.3145049844816939902261738355299128796183e-2, 0.0},
177 {6.3650249912139865667831578657006182134850e-1, 3.1035245103378439596843454179854003165774e-1, 0.0},
178 {5.3145049844816930454088546197287007250682e-2, 6.3650249912139866412930371984616083954608e-1, 0.0},
179 {5.3145049844816939902261738355299128796183e-2, 3.1035245103378441286759566723265117140082e-1, 0.0},
180 {6.3650249912139866412930371984616083954608e-1, 5.3145049844816930454088546197287007250682e-2, 0.0},
181 {3.1035245103378439596843454179854003165774e-1, 6.3650249912139865667831578657006182134850e-1, 0.0}},
182 {2.5422453185103408460468404553434492023395e-2,
183 2.5422453185103408460468404553434492023395e-2,
184 2.5422453185103408460468404553434492023395e-2,
185 5.8393137863189683012644805692789720663043e-2,
186 5.8393137863189683012644805692789720663043e-2,
187 5.8393137863189683012644805692789720663043e-2,
188 4.1425537809186787596776728210221226990114e-2,
189 4.1425537809186787596776728210221226990114e-2,
190 4.1425537809186787596776728210221226990114e-2,
191 4.1425537809186787596776728210221226990114e-2,
192 4.1425537809186787596776728210221226990114e-2,
193 4.1425537809186787596776728210221226990114e-2}
197 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
198 {2.60345966079040e-01, 2.60345966079040e-01, 0.0},
199 {2.60345966079040e-01, 4.79308067841920e-01, 0.0},
200 {4.79308067841920e-01, 2.60345966079040e-01, 0.0},
201 {6.51301029022160e-02, 6.51301029022160e-02, 0.0},
202 {6.51301029022160e-02, 8.69739794195568e-01, 0.0},
203 {8.69739794195568e-01, 6.51301029022160e-02, 0.0},
204 {3.12865496004874e-01, 6.38444188569810e-01, 0.0},
205 {6.38444188569810e-01, 4.86903154253160e-02, 0.0},
206 {4.86903154253160e-02, 3.12865496004874e-01, 0.0},
207 {3.12865496004874e-01, 4.86903154253160e-02, 0.0},
208 {6.38444188569810e-01, 3.12865496004874e-01, 0.0},
209 {4.86903154253160e-02, 6.38444188569810e-01, 0.0}},
210 {-7.47850222338410e-02,
211 8.78076287166040e-02,
212 8.78076287166040e-02,
213 8.78076287166040e-02,
214 2.66736178044190e-02,
215 2.66736178044190e-02,
216 2.66736178044190e-02,
217 3.85568804451285e-02,
218 3.85568804451285e-02,
219 3.85568804451285e-02,
220 3.85568804451285e-02,
221 3.85568804451285e-02,
222 3.85568804451285e-02}
226 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
227 {4.59292588292723e-01, 4.59292588292723e-01, 0.0},
228 {4.59292588292723e-01, 8.14148234145540e-02, 0.0},
229 {8.14148234145540e-02, 4.59292588292723e-01, 0.0},
230 {1.70569307751760e-01, 1.70569307751760e-01, 0.0},
231 {1.70569307751760e-01, 6.58861384496480e-01, 0.0},
232 {6.58861384496480e-01, 1.70569307751760e-01, 0.0},
233 {5.05472283170310e-02, 5.05472283170310e-02, 0.0},
234 {5.05472283170310e-02, 8.98905543365938e-01, 0.0},
235 {8.98905543365938e-01, 5.05472283170310e-02, 0.0},
236 {2.63112829634638e-01, 7.28492392955404e-01, 0.0},
237 {7.28492392955404e-01, 8.39477740995798e-03, 0.0},
238 {8.39477740995798e-03, 2.63112829634638e-01, 0.0},
239 {2.63112829634638e-01, 8.39477740995798e-03, 0.0},
240 {7.28492392955404e-01, 2.63112829634638e-01, 0.0},
241 {8.39477740995798e-03, 7.28492392955404e-01, 0.0}},
242 {7.21578038388935e-02,
243 4.75458171336425e-02,
244 4.75458171336425e-02,
245 4.75458171336425e-02,
246 5.16086852673590e-02,
247 5.16086852673590e-02,
248 5.16086852673590e-02,
249 1.62292488115990e-02,
250 1.62292488115988e-02,
251 1.62292488115990e-02,
252 1.36151570872175e-02,
253 1.36151570872175e-02,
254 1.36151570872175e-02,
255 1.36151570872175e-02,
256 1.36151570872175e-02,
257 1.36151570872175e-02}
261 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
262 {4.89682519198738e-01, 4.89682519198738e-01, 0.0},
263 {4.89682519198738e-01, 2.06349616025250e-02, 0.0},
264 {2.06349616025250e-02, 4.89682519198738e-01, 0.0},
265 {4.37089591492937e-01, 4.37089591492937e-01, 0.0},
266 {4.37089591492937e-01, 1.25820817014127e-01, 0.0},
267 {1.25820817014127e-01, 4.37089591492937e-01, 0.0},
268 {1.88203535619033e-01, 1.88203535619033e-01, 0.0},
269 {1.88203535619033e-01, 6.23592928761935e-01, 0.0},
270 {6.23592928761935e-01, 1.88203535619033e-01, 0.0},
271 {4.47295133944530e-02, 4.47295133944530e-02, 0.0},
272 {4.47295133944530e-02, 9.10540973211095e-01, 0.0},
273 {9.10540973211095e-01, 4.47295133944530e-02, 0.0},
274 {2.21962989160766e-01, 7.41198598784498e-01, 0.0},
275 {7.41198598784498e-01, 3.68384120547360e-02, 0.0},
276 {3.68384120547360e-02, 2.21962989160766e-01, 0.0},
277 {2.21962989160766e-01, 3.68384120547360e-02, 0.0},
278 {7.41198598784498e-01, 2.21962989160766e-01, 0.0},
279 {3.68384120547360e-02, 7.41198598784498e-01, 0.0}},
280 {4.85678981413995e-02,
281 1.56673501135695e-02,
282 1.56673501135695e-02,
283 1.56673501135695e-02,
284 3.89137705023870e-02,
285 3.89137705023870e-02,
286 3.89137705023870e-02,
287 3.98238694636050e-02,
288 3.98238694636050e-02,
289 3.98238694636050e-02,
290 1.27888378293490e-02,
291 1.27888378293490e-02,
292 1.27888378293490e-02,
293 2.16417696886445e-02,
294 2.16417696886445e-02,
295 2.16417696886445e-02,
296 2.16417696886445e-02,
297 2.16417696886445e-02,
298 2.16417696886445e-02}
302 {{3.8102570854643002e-03, 8.6854386943076545e-01, 0.0},
303 {8.3865349500109043e-01, 1.6134650499890960e-01, 0.0},
304 {0.0 , 3.9366774470722010e-01, 0.0},
305 {7.7757518429429107e-01, 0.0 , 0.0},
306 {4.7768381772022403e-02, 9.2899486985787905e-01, 0.0},
307 {1.0939142057119900e-02, 1.7690730625559031e-01, 0.0},
308 {4.6374383867430541e-01, 0.0 , 0.0},
309 {9.3049846900263089e-01, 2.9553592846822900e-02, 0.0},
310 {3.9099745550423302e-02, 3.5319656252586103e-02, 0.0},
311 {4.8798437805397499e-01, 5.0365825075943971e-01, 0.0},
312 {1.9305903224251941e-01, 3.0573404093099301e-02, 0.0},
313 {2.2376358774275851e-01, 7.4726591728868819e-01, 0.0},
314 {3.6036266787907702e-02, 6.3491832379200652e-01, 0.0},
315 {7.6777680170023954e-01, 1.0614642990290001e-01, 0.0},
316 {1.0954959855585469e-01, 7.5329402776254240e-01, 0.0},
317 {6.4203365318662664e-01, 2.9530445535851102e-01, 0.0},
318 {1.0999439055630450e-01, 1.6929927488966459e-01, 0.0},
319 {3.3947290311800549e-01, 9.5379208487721703e-02, 0.0},
320 {8.4198522115543697e-02, 3.8729657913960353e-01, 0.0},
321 {5.7966325105486349e-01, 8.0491894656105595e-02, 0.0},
322 {3.6419744430339263e-01, 5.2433682558924433e-01, 0.0},
323 {2.7586334089315973e-01, 2.6481531651496770e-01, 0.0},
324 {2.0776116575484829e-01, 5.0550507373529086e-01, 0.0},
325 {4.8123289062464247e-01, 2.7542385024412980e-01, 0.0}},
326 {5.3333456379563004e-03,
327 5.5334733911235499e-03,
328 5.9501524071177998e-03,
329 6.6995403929284002e-03,
330 7.3041646115608498e-03,
331 7.4233118233402503e-03,
332 7.5781309587828498e-03,
333 7.6015470130063496e-03,
334 8.8279222964811003e-03,
335 9.7797061087609508e-03,
336 1.5707351180334426e-02,
337 1.6151301011728625e-02,
338 2.1481164696039650e-02,
339 2.6268329551205824e-02,
340 2.6365190704419499e-02,
341 2.7457802196927176e-02,
342 2.8987070299349601e-02,
343 3.0871122933097676e-02,
344 3.1343962650456775e-02,
345 3.3093067237629975e-02,
346 3.7039823668389947e-02,
347 4.2207221279855073e-02,
348 4.3362019313832399e-02,
349 4.7633278635674972e-02}
353 {{3.7802163891336921e-01, 6.1948431533135195e-01, 0.0},
354 {3.2899822292186298e-02, 9.3614893514675623e-01, 0.0},
355 {9.3551434285897095e-01, 3.3268560622678398e-02, 0.0},
356 {3.4222771841359197e-02, 3.2916403878999703e-02, 0.0},
357 {1.4354532010930900e-02, 3.9659731669586501e-01, 0.0},
358 {2.2120535196161799e-02, 1.6892970982290231e-01, 0.0},
359 {8.1562969693268217e-01, 2.6807150626772601e-02, 0.0},
360 {2.7719522918618601e-02, 8.1626233715968810e-01, 0.0},
361 {1.7400571673032261e-01, 2.5252704638304500e-02, 0.0},
362 {3.8913981113319362e-01, 2.2592651051306600e-02, 0.0},
363 {8.0364834053903877e-01, 1.6655614492060569e-01, 0.0},
364 {1.6429286715713459e-01, 8.0454974747615537e-01, 0.0},
365 {6.1758873171277151e-01, 2.5660186833052399e-02, 0.0},
366 {2.6297199713764201e-02, 6.1924873232110123e-01, 0.0},
367 {5.9895439629934211e-01, 3.7272769861629101e-01, 0.0},
368 {8.1721404855381805e-02, 3.2719878157552901e-01, 0.0},
369 {1.3035453031942690e-01, 1.3667083534390509e-01, 0.0},
370 {7.1027868107761583e-01, 1.3828000204292321e-01, 0.0},
371 {1.4118119730952799e-01, 7.0099267949645228e-01, 0.0},
372 {5.3141960154079959e-01, 1.2417148586801489e-01, 0.0},
373 {3.4992914334288650e-01, 5.6938486195327997e-01, 0.0},
374 {3.1909737814681871e-01, 1.1698976413323441e-01, 0.0},
375 {1.2454405910544100e-01, 5.1353143433447235e-01, 0.0},
376 {4.1132499178904658e-01, 2.6677168071577739e-01, 0.0},
377 {5.3634228112084714e-01, 3.2081957909482989e-01, 0.0},
378 {2.2789955884347499e-01, 2.8790310224819649e-01, 0.0},
379 {2.9133859436942361e-01, 4.6494564773693992e-01, 0.0}},
380 {5.6375356078552001e-03,
381 6.5529674260441251e-03,
382 6.6871546432313500e-03,
383 7.2740543402810501e-03,
384 9.1794421950682249e-03,
385 1.0688904048956826e-02,
386 1.1556190176810576e-02,
387 1.1821029782882325e-02,
388 1.2035150250304100e-02,
389 1.3361393587366349e-02,
390 1.3378318081626600e-02,
391 1.3797950075089925e-02,
392 1.4360888683763475e-02,
393 1.4717279053216750e-02,
394 1.6298436572453948e-02,
395 2.1298852449057524e-02,
396 2.2769129560075176e-02,
397 2.4595497454187175e-02,
398 2.6030267669060574e-02,
399 2.7060738237627526e-02,
400 2.7485999004421752e-02,
401 2.7495506358711074e-02,
402 2.8322942561349675e-02,
403 2.9305884203704700e-02,
404 3.1096575055627549e-02,
405 3.3071222942480799e-02,
406 3.4120689978745525e-02}
410 {{9.2734897448394982e-01, 0.0 , 0.0},
411 {2.3551733249578700e-02, 9.5526919357006035e-01, 0.0},
412 {0.0 , 8.5815888421533082e-01, 0.0},
413 {9.4547507322097091e-01, 4.3010560106405499e-02, 0.0},
414 {1.5406460162685609e-01, 8.4593539837314391e-01, 0.0},
415 {0.0 , 6.2731531923241179e-01, 0.0},
416 {2.7110971356255800e-02, 2.9754117496841800e-02, 0.0},
417 {1.4604496167217570e-01, 9.2296909059649008e-03, 0.0},
418 {2.1152223383121900e-02, 1.5557066896897950e-01, 0.0},
419 {1.4566514788347000e-02, 3.6384660446077510e-01, 0.0},
420 {7.8860171922313160e-01, 1.8920633061715941e-01, 0.0},
421 {7.4918973979067949e-01, 2.3088148766115799e-02, 0.0},
422 {7.1871496101589105e-02, 8.5431474947580432e-01, 0.0},
423 {3.3212908394764512e-01, 2.4506286636990001e-02, 0.0},
424 {3.6118159118967208e-01, 6.1600929617267497e-01, 0.0},
425 {2.4345813394879970e-01, 9.3448087604440996e-02, 0.0},
426 {5.8168921474014745e-01, 3.9316510319604808e-01, 0.0},
427 {5.4444667627192522e-01, 2.5716283623693902e-02, 0.0},
428 {8.2600331401756000e-01, 7.9955384841381302e-02, 0.0},
429 {1.1638649906727730e-01, 8.9602705800587407e-02, 0.0},
430 {2.0376848107772980e-01, 7.1788185898052326e-01, 0.0},
431 {6.4413220382260494e-02, 7.1008125956836521e-01, 0.0},
432 {9.5428585810584596e-02, 2.6077068256562902e-01, 0.0},
433 {2.4498296509349021e-01, 2.1117939909804931e-01, 0.0},
434 {7.0566724344036796e-02, 4.9732063377796598e-01, 0.0},
435 {6.1938125736255578e-01, 1.2512299505810390e-01, 0.0},
436 {6.2768261568031403e-01, 2.5015500335339208e-01, 0.0},
437 {4.2260565743346001e-01, 1.2953296900433620e-01, 0.0},
438 {2.1078525939140391e-01, 3.7986021093401962e-01, 0.0},
439 {4.0896380449124481e-01, 4.6631787462323071e-01, 0.0},
440 {2.1377743253005960e-01, 5.5802528953120256e-01, 0.0},
441 {4.0978657777002531e-01, 3.0141709320909299e-01, 0.0}},
442 {2.4440249073300249e-03,
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1274 {{8.9411337112035999e-03, 8.6983293701984998e-03, 0.0},
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1425 1.4990249935657125e-02,
1426 1.4997881803219050e-02,
1427 1.5853329586233849e-02,
1428 1.5882796527709402e-02,
1429 1.5930165141800151e-02}
const CubatureTemplate * exposeCubatureData() const
Exposes cubature data.
const char * getName() const
Returns cubature name.
CubatureDirectTriDefault(const int degree=0)
Constructor.
Defines direct integration rules on a triangle.
Template for the cubature rules used by Intrepid. Cubature template consists of cubature points and c...
int getMaxAccuracy() const
Returns maximum cubature accuracy.