OpenMD 3.0
Molecular Dynamics in the Open
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XiaoGimbutasTriangleQuadrature.hpp
1#ifndef MATH_INTEGRATION_XIAOGIMBUTASTRIANGLEQUADRATURE_HPP
2#define MATH_INTEGRATION_XIAOGIMBUTASTRIANGLEQUADRATURE_HPP
3
4#include <stdexcept>
5#include <vector>
6
7#include "math/integration/TriangleQuadratureRule.hpp"
8
9namespace OpenMD {
10
11 class XiaoGimbutasTriangleQuadratureRule final :
12 public TriangleQuadratureRule {
13 public:
14 /// Constructs the XiaoGimbutas quadrature rule of the specified order,
15 /// which must be between 1 and 50.
16 explicit XiaoGimbutasTriangleQuadratureRule(int order) : order_(order) {
17 assert(order >= 1);
18 if (order > 50) {
19 snprintf(painCave.errMsg, MAX_SIM_ERROR_MSG_LENGTH,
20 "XiaoGimbutasTriangleQuadrature does not implement a %d "
21 "point algorithm\n",
22 order);
23 painCave.isFatal = 1;
24 ;
25 simError();
26 }
27 SetWeightsAndQuadraturePoints();
28 }
29
30 private:
31 // Hong Xiao, Zydrunas Gimbutas,
32 // A numerical algorithm for the construction of efficient quadrature
33 // rules in two and higher dimensions,
34 // Computers and Mathematics with Applications,
35 // Volume 59, 2010, pages 663-676.
36 void SetWeightsAndQuadraturePoints() {
37 int compressedSize {};
38 int fullSize {};
39 // Temporary arrays for compressed weights and points
40 std::vector<RealType> w;
41 std::vector<Vector2d> p;
42
43 switch (order_) {
44 case 1:
45 // Order 1 (1 pts)
46 // 1/6 data for 2-th order quadrature with 1 nodes.
47 compressedSize = 1;
48 fullSize = 1;
49 w.resize(compressedSize);
50 p.resize(compressedSize);
51 w[0] = 0.21934566882541541013653648363283;
52 p[0] = Vector2d(0.00000000000000000000000000000000,
53 0.00000000000000000000000000000000);
54 break;
55 case 2:
56 // Order 2 (3 pts)
57 // 1/6 data for 2-th order quadrature with 1 nodes.
58 compressedSize = 1;
59 fullSize = 3;
60 w.resize(compressedSize);
61 p.resize(compressedSize);
62 w[0] = 0.21934566882541541013653648363283;
63 p[0] = Vector2d(0.00000000000000000000000000000000,
64 0.57735026918962576450914878050196);
65 break;
66 case 3:
67 // Order 3 (6 pts)
68 // 1/6 data for 4-th order quadrature with 2 nodes.
69 compressedSize = 2;
70 fullSize = 6;
71 w.resize(compressedSize);
72 p.resize(compressedSize);
73 w[0] = 0.14699335257362380894667320570121;
74 w[1] = 0.72352316251791601189863277931619E-01;
75 p[0] = Vector2d(0.00000000000000000000000000000000,
76 -0.39011034927098671317419951524681);
77 p[1] = Vector2d(0.00000000000000000000000000000000,
78 0.83747122925185483484415621413487);
79 break;
80 case 4:
81 // Order 4 (6 pts)
82 // 1/6 data for 4-th order quadrature with 2 nodes.
83 compressedSize = 2;
84 fullSize = 6;
85 w.resize(compressedSize);
86 p.resize(compressedSize);
87 w[0] = 0.14699335257362380894667320570121;
88 w[1] = 0.72352316251791601189863277931619E-01;
89 p[0] = Vector2d(0.00000000000000000000000000000000,
90 -0.39011034927098671317419951524681);
91 p[1] = Vector2d(0.00000000000000000000000000000000,
92 0.83747122925185483484415621413487);
93 break;
94 case 5:
95 // Order 5 (7 pts)
96 // 1/6 data for 5-th order quadrature with 3 nodes.
97 compressedSize = 3;
98 fullSize = 7;
99 w.resize(compressedSize);
100 p.resize(compressedSize);
101 w[0] = 0.82872641363789568276918148034109E-01;
102 w[1] = 0.87120251975907374578897626781336E-01;
103 w[2] = 0.49352775485718467280720708817387E-01;
104 p[0] = Vector2d(0.00000000000000000000000000000000,
105 0.80383378476840441740523498549521);
106 p[1] = Vector2d(0.00000000000000000000000000000000,
107 -0.47391934523147540911429282520838);
108 p[2] = Vector2d(0.00000000000000000000000000000000,
109 0.00000000000000000000000000000000);
110 break;
111 case 6:
112 // Order 6 (12 pts)
113 // 1/6 data for 6-th order quadrature with 3 nodes.
114 compressedSize = 3;
115 fullSize = 12;
116 w.resize(compressedSize);
117 p.resize(compressedSize);
118 w[0] = 0.11274353612785067755726196993061;
119 w[1] = 0.53124044525363740527637434536885E-01;
120 w[2] = 0.53478088172200992051637079165337E-01;
121 p[0] = Vector2d(0.00000000000000000000000000000000,
122 0.39457278141889907274877084543840);
123 p[1] = Vector2d(0.00000000000000000000000000000000,
124 -0.50854615859082585320530997387282);
125 p[2] = Vector2d(-0.69739024379082289479659372931424,
126 -0.54379745836573696334891625304668);
127 break;
128 case 7:
129 // Order 7 (15 pts)
130 // 1/6 data for 7-th order quadrature with 4 nodes.
131 compressedSize = 4;
132 fullSize = 15;
133 w.resize(compressedSize);
134 p.resize(compressedSize);
135 w[0] = 0.34994956344512530405766865129365E-01;
136 w[1] = 0.26925670356590145219766443119660E-01;
137 w[2] = 0.73377101909709748747894757835629E-01;
138 w[3] = 0.84047940214602985763108417548179E-01;
139 p[0] = Vector2d(0.00000000000000000000000000000000,
140 -0.48449728984184861759282345604996);
141 p[1] = Vector2d(0.00000000000000000000000000000000,
142 0.95448364011528521109785290893117);
143 p[2] = Vector2d(-0.43435077013834314810201324540358,
144 -0.49599375367952699580224212194439);
145 p[3] = Vector2d(0.00000000000000000000000000000000,
146 0.31755324913853224106767424614158);
147 break;
148 case 8:
149 // Order 8 (16 pts)
150 // 1/6 data for 8-th order quadrature with 5 nodes.
151 compressedSize = 5;
152 fullSize = 16;
153 w.resize(compressedSize);
154 p.resize(compressedSize);
155 w[0] = 0.67920849523015500098940229347144E-01;
156 w[1] = 0.62573814354178010612492306599248E-01;
157 w[2] = 0.31655003488030481682328160339460E-01;
158 w[3] = 0.21358892610685618050556600653540E-01;
159 w[4] = 0.35837108849505799692219186693442E-01;
160 p[0] = Vector2d(0.00000000000000000000000000000000,
161 0.56383112390345027361169431475509);
162 p[1] = Vector2d(0.00000000000000000000000000000000,
163 -0.43633565854637050936665616521528);
164 p[2] = Vector2d(0.00000000000000000000000000000000,
165 0.00000000000000000000000000000000);
166 p[3] = Vector2d(0.00000000000000000000000000000000,
167 0.97959980312548768236416519395659);
168 p[4] = Vector2d(-0.46537956332076616781921459289142,
169 -0.56281008819734772609629802285497);
170 break;
171 case 9:
172 // Order 9 (19 pts)
173 // 1/6 data for 9-th order quadrature with 6 nodes.
174 compressedSize = 6;
175 fullSize = 19;
176 w.resize(compressedSize);
177 p.resize(compressedSize);
178 w[0] = 0.20619392336297146785884881219859E-01;
179 w[1] = 0.21306316202539810241408079330466E-01;
180 w[2] = 0.52411159696263022262999116690283E-01;
181 w[3] = 0.56964341363056457388652374913231E-01;
182 w[4] = 0.51213402104188971492967950562937E-01;
183 w[5] = 0.16831057123070001964624080916057E-01;
184 p[0] = Vector2d(0.00000000000000000000000000000000,
185 -0.54160946728182000656873212814730);
186 p[1] = Vector2d(0.00000000000000000000000000000000,
187 0.00000000000000000000000000000000);
188 p[2] = Vector2d(0.00000000000000000000000000000000,
189 0.50274436666672432312125361006830);
190 p[3] = Vector2d(-0.51923560962373232501497734583023,
191 -0.51354426784066472011973483470318);
192 p[4] = Vector2d(0.00000000000000000000000000000000,
193 -0.35942222147133163342323862565198);
194 p[5] = Vector2d(0.00000000000000000000000000000000,
195 0.99975295878520206908663626641606);
196 break;
197 case 10:
198 // Order 10 (25 pts)
199 // 1/6 data for 10-th order quadrature with 7 nodes
200 compressedSize = 7;
201 fullSize = 25;
202 w.resize(compressedSize);
203 p.resize(compressedSize);
204 w[0] = 0.64438869372269120316756176676570E-02;
205 w[1] = 0.42018026730627469477523487256964E-02;
206 w[2] = 0.38116505989607355372802824839739E-01;
207 w[3] = 0.18340560543312397707554978722912E-01;
208 w[4] = 0.50983455788600478135692116331631E-01;
209 w[5] = 0.51743930451848519084272818465418E-01;
210 w[6] = 0.49515526441757000856785778879781E-01;
211 p[0] = Vector2d(0.00000000000000000000000000000000,
212 -0.56063064349133316993278274030104);
213 p[1] = Vector2d(0.00000000000000000000000000000000,
214 0.10883996591237330573849553975247E+01);
215 p[2] = Vector2d(-0.69780686931593427582366555189730,
216 -0.51720719429149531106975531479846);
217 p[3] = Vector2d(0.00000000000000000000000000000000,
218 0.00000000000000000000000000000000);
219 p[4] = Vector2d(-0.30903100009613455447142535490429,
220 -0.51225507594767383123122215407598);
221 p[5] = Vector2d(0.00000000000000000000000000000000,
222 0.51562570796758001502147445483555);
223 p[6] = Vector2d(0.00000000000000000000000000000000,
224 -0.32874839651011214404597359718045);
225 break;
226 case 11:
227 // Order 11 (28 pts)
228 // 1/6 data for 11-th order quadrature with 8 nodes
229 compressedSize = 8;
230 fullSize = 28;
231 w.resize(compressedSize);
232 p.resize(compressedSize);
233 w[0] = 0.80604906968824787275184319645950E-02;
234 w[1] = 0.82027549569428763887170584691844E-02;
235 w[2] = 0.19158909765241473284488780746507E-01;
236 w[3] = 0.17864637545398712988860649788563E-01;
237 w[4] = 0.26406526528755833416145171420307E-01;
238 w[5] = 0.41518760800101172427427091335633E-01;
239 w[6] = 0.44644591603719541882313987831736E-01;
240 w[7] = 0.53488996928373321021065312076308E-01;
241 p[0] = Vector2d(0.00000000000000000000000000000000,
242 0.10478437573860252650592594105291E+01);
243 p[1] = Vector2d(0.00000000000000000000000000000000,
244 -0.57312463741413046743394091946546);
245 p[2] = Vector2d(-0.66702609775505741425256941082402,
246 -0.55246647968395743746723714345900);
247 p[3] = Vector2d(0.00000000000000000000000000000000,
248 0.00000000000000000000000000000000);
249 p[4] = Vector2d(0.00000000000000000000000000000000,
250 0.76253712102917906246868919741961);
251 p[5] = Vector2d(0.00000000000000000000000000000000,
252 -0.35791680916635253698118135523597);
253 p[6] = Vector2d(0.00000000000000000000000000000000,
254 0.41170804295590891080211946164601);
255 p[7] = Vector2d(-0.33107350040092300374508907880435,
256 -0.49479368349849501640395735410577);
257 break;
258 case 12:
259 // Order 12 (33 pts)
260 // 1/6 data for 12-th order quadrature with 8 nodes
261 compressedSize = 8;
262 fullSize = 33;
263 w.resize(compressedSize);
264 p.resize(compressedSize);
265 w[0] = 0.41154432712824560996161389102816E-01;
266 w[1] = 0.18744876429730660409284009808805E-01;
267 w[2] = 0.32848111684339866575373457398258E-01;
268 w[3] = 0.56890409960601999633893263927781E-01;
269 w[4] = 0.19851236078200935116627045158968E-01;
270 w[5] = 0.28668810178252124180808712582749E-01;
271 w[6] = 0.15968477487762470187363091359494E-01;
272 w[7] = 0.52193142937027930370255142939621E-02;
273 p[0] = Vector2d(0.00000000000000000000000000000000,
274 0.21432682937950204373207766849052);
275 p[1] = Vector2d(0.00000000000000000000000000000000,
276 0.77622032111803989421823022245158);
277 p[2] = Vector2d(0.00000000000000000000000000000000,
278 -0.36989093457992084889029420576697);
279 p[3] = Vector2d(-0.37279552304503872030654041088416,
280 -0.37591965438942697512621254516818);
281 p[4] = Vector2d(-0.72405807527665067283016173568468,
282 -0.54031470967359184488712033281188);
283 p[5] = Vector2d(-0.39365448416805093945053087420319,
284 -0.53745394007281752834331765730183);
285 p[6] = Vector2d(0.00000000000000000000000000000000,
286 -0.53648686378750904365565925207548);
287 p[7] = Vector2d(0.00000000000000000000000000000000,
288 0.10693230309921692958873012567969E+01);
289 break;
290 case 13:
291 // Order 13 (37 pts)
292 // 1/6 data for 13-th order quadrature with 10 nodes.
293 compressedSize = 10;
294 fullSize = 37;
295 w.resize(compressedSize);
296 p.resize(compressedSize);
297 w[0] = 0.65418593445945714253573279005246E-02;
298 w[1] = 0.21571270093488444532084979604155E-01;
299 w[2] = 0.30310770119514528295026716361971E-01;
300 w[3] = 0.23854497740070562467907639645715E-01;
301 w[4] = 0.11323203959116968208057898102191E-01;
302 w[5] = 0.48973694128817658616454407740346E-01;
303 w[6] = 0.30892926213314122881388117756484E-01;
304 w[7] = 0.20335382082811117457514058128897E-01;
305 w[8] = 0.20258422938614600267531787728451E-01;
306 w[9] = 0.52836422050728359852135506640993E-02;
307 p[0] = Vector2d(0.00000000000000000000000000000000,
308 -0.56396461592102123502624022053391);
309 p[1] = Vector2d(0.00000000000000000000000000000000,
310 -0.47207168193213434618577598142010);
311 p[2] = Vector2d(0.00000000000000000000000000000000,
312 0.35411102701218903723318259570554);
313 p[3] = Vector2d(-0.39685461846296817096661395897363,
314 -0.54446208086261457427222068671521);
315 p[4] = Vector2d(0.00000000000000000000000000000000,
316 0.00000000000000000000000000000000);
317 p[5] = Vector2d(-0.36877346231328110106712038942974,
318 -0.40806649765315498179968814806897);
319 p[6] = Vector2d(0.00000000000000000000000000000000,
320 -0.28109188226279360944191830212271);
321 p[7] = Vector2d(0.00000000000000000000000000000000,
322 0.76131746182322280252086625652347);
323 p[8] = Vector2d(-0.72443410422579609569939260421083,
324 -0.53930344496737094791136532996013);
325 p[9] = Vector2d(0.00000000000000000000000000000000,
326 0.10684585018901699613124809207464E+01);
327 break;
328 case 14:
329 // Order 14 (42 pts)
330 // 1/6 data for 14-th order quadrature with 10 nodes
331 compressedSize = 10;
332 fullSize = 42;
333 w.resize(compressedSize);
334 p.resize(compressedSize);
335 w[0] = 0.21575950013461064401435712745522E-01;
336 w[1] = 0.18999249951197107599659818693116E-01;
337 w[2] = 0.94979085230770220958819598950727E-02;
338 w[3] = 0.50762962987167304291061144573638E-01;
339 w[4] = 0.34069276742966482732002423831004E-01;
340 w[5] = 0.27744543677779980654066228474803E-01;
341 w[6] = 0.32397817681977165704923716215682E-02;
342 w[7] = 0.14400206375318340262255497721148E-01;
343 w[8] = 0.32461956812954507173175490962641E-01;
344 w[9] = 0.65938319732958843565058351143197E-02;
345 p[0] = Vector2d(0.00000000000000000000000000000000,
346 -0.29206320844176911462814202555440);
347 p[1] = Vector2d(-0.38860728567183008438779563596070,
348 -0.55198100751730853202008670921318);
349 p[2] = Vector2d(0.00000000000000000000000000000000,
350 0.94061946354883534183314930438733);
351 p[3] = Vector2d(-0.23336083105033817175364101627343,
352 -0.41641460445461153990144627293196);
353 p[4] = Vector2d(0.00000000000000000000000000000000,
354 0.20734659086072252500578277182211);
355 p[5] = Vector2d(0.00000000000000000000000000000000,
356 0.54084256733761408785791946134147);
357 p[6] = Vector2d(0.00000000000000000000000000000000,
358 0.10875282781985526175124163597842E+01);
359 p[7] = Vector2d(0.00000000000000000000000000000000,
360 -0.53912013325044374969918965513440);
361 p[8] = Vector2d(-0.59834186695364090421374367255377,
362 -0.47840728699646114957331822352154);
363 p[9] = Vector2d(-0.76078267367321428411638967504470,
364 -0.57515345557308018596067002721924);
365 break;
366 case 15:
367 // Order 15 (49 pts)
368 // 1/6 data for 15-th order quadrature with 12 nodes
369 compressedSize = 12;
370 fullSize = 49;
371 w.resize(compressedSize);
372 p.resize(compressedSize);
373 w[0] = 0.48678314316748716941104750027452E-02;
374 w[1] = 0.65212388041010424283650376293385E-02;
375 w[2] = 0.14209708983278779348806400026132E-01;
376 w[3] = 0.31888484893082254935417221561584E-01;
377 w[4] = 0.14777542712078757890433156238493E-01;
378 w[5] = 0.40897290108008783478410013863721E-01;
379 w[6] = 0.10418223735073013293430828867470E-01;
380 w[7] = 0.30458747186574088002369116260931E-01;
381 w[8] = 0.30490829969029447439964565952835E-01;
382 w[9] = 0.21631995447453411916722584709018E-01;
383 w[10] = 0.99261422781568007641581796089061E-02;
384 w[11] = 0.32576332769041589443489039116581E-02;
385 p[0] = Vector2d(0.00000000000000000000000000000000,
386 0.70444274213533005064746095394944);
387 p[1] = Vector2d(0.00000000000000000000000000000000,
388 0.00000000000000000000000000000000);
389 p[2] = Vector2d(0.00000000000000000000000000000000,
390 -0.43905276476834389171283475266302);
391 p[3] = Vector2d(-0.55076221170342555936584321474523,
392 -0.43082877955573503227054242095029);
393 p[4] = Vector2d(-0.68357214208317707300355657115991,
394 -0.54959053538220730475284121644503);
395 p[5] = Vector2d(-0.25612692724233233019551175197799,
396 -0.40821474151886640425221018734748);
397 p[6] = Vector2d(0.00000000000000000000000000000000,
398 -0.54854909315008697510886410926313);
399 p[7] = Vector2d(0.00000000000000000000000000000000,
400 0.38728999882555268441925180574268);
401 p[8] = Vector2d(0.00000000000000000000000000000000,
402 -0.22031826248214061224887524925114);
403 p[9] = Vector2d(-0.36565038512802113430475383248411,
404 -0.54538656727512647368330462485919);
405 p[10] = Vector2d(0.00000000000000000000000000000000,
406 0.95952641028823274876646693877390);
407 p[11] = Vector2d(-0.92281600612376773678051247314954,
408 -0.57542156951901391210911429306642);
409 break;
410 case 16:
411 // Order 16 (55 pts)
412 // 1/6 data for 16-th order quadrature with 13 nodes.
413 compressedSize = 13;
414 fullSize = 55;
415 w.resize(compressedSize);
416 p.resize(compressedSize);
417 w[0] = 0.10768394677601291424698896830942E-01;
418 w[1] = 0.18403461944093881198776232104775E-01;
419 w[2] = 0.81763898630962949174826141110659E-02;
420 w[3] = 0.75698865940531301551762664596891E-02;
421 w[4] = 0.41648559391949793671705497882676E-01;
422 w[5] = 0.27100623100161070449309097892289E-01;
423 w[6] = 0.26969791338286996589221138520990E-01;
424 w[7] = 0.23232761214636807134379750252095E-01;
425 w[8] = 0.18940606006195797095777111782639E-01;
426 w[9] = 0.60732744287626264990846070830020E-02;
427 w[10] = 0.17828637150989055090637459591942E-01;
428 w[11] = 0.10139891906267619230864844708608E-01;
429 w[12] = 0.24933912093210466794229664121214E-02;
430 p[0] = Vector2d(-0.16279607394216944053888791563128,
431 -0.56061007710964974635124810013984);
432 p[1] = Vector2d(-0.36133516018585422888297687826246,
433 -0.52485883552713864174217026883955);
434 p[2] = Vector2d(0.00000000000000000000000000000000,
435 0.92373339140338472305543117791951);
436 p[3] = Vector2d(-0.80996884917848457646874211083899,
437 -0.55862165096055508852660603004778);
438 p[4] = Vector2d(-0.30011609466308557056235128866156,
439 -0.39262157635321675549452096003032);
440 p[5] = Vector2d(0.00000000000000000000000000000000,
441 0.31873771449384928263441293513356);
442 p[6] = Vector2d(0.00000000000000000000000000000000,
443 -0.27527401254502863816148429232788);
444 p[7] = Vector2d(-0.60911897435540735910318766737015,
445 -0.48840198582588110096280723102788);
446 p[8] = Vector2d(0.00000000000000000000000000000000,
447 0.63486450609449659829895244998069);
448 p[9] = Vector2d(-0.56820549744094988938273289446974,
449 -0.57094697658781472615514574003317);
450 p[10] = Vector2d(0.00000000000000000000000000000000,
451 -0.47186155418111734634796824747685);
452 p[11] = Vector2d(0.00000000000000000000000000000000,
453 0.00000000000000000000000000000000);
454 p[12] = Vector2d(0.00000000000000000000000000000000,
455 0.10956666024303233991933608013003E+01);
456 break;
457 case 17:
458 // Order 17 (60 pts)
459 // 1/6 data for 17-th order quadrature with 13 nodes.
460 compressedSize = 13;
461 fullSize = 60;
462 w.resize(compressedSize);
463 p.resize(compressedSize);
464 w[0] = 0.17971600336645011505239938032544E-01;
465 w[1] = 0.60333417978448673307205126288851E-02;
466 w[2] = 0.17314684664654665424326078868145E-01;
467 w[3] = 0.13685116601127277244126428127471E-01;
468 w[4] = 0.11439597619776484984723997813429E-01;
469 w[5] = 0.34443796770210477782263821006565E-01;
470 w[6] = 0.24818679791573586362196055551041E-01;
471 w[7] = 0.29595573057886602948646133219328E-01;
472 w[8] = 0.27055715740469881665013596685831E-01;
473 w[9] = 0.81984835916342231806329716122509E-02;
474 w[10] = 0.10500033568557456872117406813490E-01;
475 w[11] = 0.18253206778903200987505636654074E-02;
476 w[12] = 0.16463724607144554737778979608446E-01;
477 p[0] = Vector2d(0.00000000000000000000000000000000,
478 -0.29018817691328482198192482970493);
479 p[1] = Vector2d(-0.84341388249881453210290659667990,
480 -0.55730147641876997108891034072276);
481 p[2] = Vector2d(0.00000000000000000000000000000000,
482 0.52992169651771413561569476668012);
483 p[3] = Vector2d(-0.15581940864945499700831493674102,
484 -0.55443580380164528313259557057725);
485 p[4] = Vector2d(-0.44328038905528761799845288018270,
486 -0.55459827350347093500389453629695);
487 p[5] = Vector2d(-0.24405663711918945323690771490419,
488 -0.30454277894986876852327724535219);
489 p[6] = Vector2d(0.00000000000000000000000000000000,
490 0.16498418183331297460767706117349);
491 p[7] = Vector2d(-0.32008743864026572053341280894294,
492 -0.46069772486520133352908482893009);
493 p[8] = Vector2d(-0.58451263244119866196418566874803,
494 -0.44217697018376683763624710581761);
495 p[9] = Vector2d(0.00000000000000000000000000000000,
496 0.92380408942408538210867783233523);
497 p[10] = Vector2d(-0.66559778269229534571098852849491,
498 -0.54960689880096757714733164550461);
499 p[11] = Vector2d(0.00000000000000000000000000000000,
500 0.11035860158850820902562773489079E+01);
501 p[12] = Vector2d(0.00000000000000000000000000000000,
502 -0.45817780070044727282559523202757);
503 break;
504 case 18:
505 // Order 18 (67 pts)
506 // 1/6 data for 18-th order quadrature with 15 nodes.
507 compressedSize = 15;
508 fullSize = 67;
509 w.resize(compressedSize);
510 p.resize(compressedSize);
511 w[0] = 0.20173122273677479015897043873638E-01;
512 w[1] = 0.86249091344656329557281505991774E-02;
513 w[2] = 0.13370218870435472743618008520977E-01;
514 w[3] = 0.55505642264323721863858554667335E-02;
515 w[4] = 0.67445549565863583016393815247161E-02;
516 w[5] = 0.21538746762008261153428035301757E-01;
517 w[6] = 0.10173035336419548391103790096248E-01;
518 w[7] = 0.22025810771933006688763669533528E-01;
519 w[8] = 0.22256988236841747085623568927686E-01;
520 w[9] = 0.20475740472311754752083054066923E-01;
521 w[10] = 0.35007938360486604839471917528428E-03;
522 w[11] = 0.36314280849967402171385914715287E-01;
523 w[12] = 0.12616049305635046682659603780667E-01;
524 w[13] = 0.10057049329246148211330983846490E-01;
525 w[14] = 0.90745189158503137484947042037209E-02;
526 p[0] = Vector2d(-0.13948489081933204088461180178994,
527 -0.42072604091782665082295117027375);
528 p[1] = Vector2d(0.00000000000000000000000000000000,
529 -0.49046440452670875509062398243114);
530 p[2] = Vector2d(0.00000000000000000000000000000000,
531 0.62940934145837335576901873813141);
532 p[3] = Vector2d(-0.89294878385120099482738372845036,
533 -0.55570148308783861437134955410860);
534 p[4] = Vector2d(0.00000000000000000000000000000000,
535 0.00000000000000000000000000000000);
536 p[5] = Vector2d(-0.34186434923523414986986916455812,
537 -0.48379919937747237041994289927636);
538 p[6] = Vector2d(-0.47648266163227498302335864700291,
539 -0.55915504286023151615285736575981);
540 p[7] = Vector2d(0.00000000000000000000000000000000,
541 -0.26927767315911711440578206048817);
542 p[8] = Vector2d(-0.57691929083982134519411643537248,
543 -0.46282281236309048295631522905634);
544 p[9] = Vector2d(0.00000000000000000000000000000000,
545 0.23458453920186008350135824349789);
546 p[10] = Vector2d(0.00000000000000000000000000000000,
547 0.11416791732161437494841337947029E+01);
548 p[11] = Vector2d(-0.31378647708219846613556828441497,
549 -0.31915880712448193443612017530713);
550 p[12] = Vector2d(-0.16617683797609618890338301653712,
551 -0.55709943481991491343285204410962);
552 p[13] = Vector2d(-0.72011081467827938658866318769494,
553 -0.55252734012256597819639469738327);
554 p[14] = Vector2d(0.00000000000000000000000000000000,
555 0.90376550142496547719360163488612);
556 break;
557 case 19:
558 // Order 19 (73 pts)
559 // 1/6 data for 19-th order quadrature with 17 nodes.
560 compressedSize = 17;
561 fullSize = 73;
562 w.resize(compressedSize);
563 p.resize(compressedSize);
564 w[0] = 0.38504278531892868609886548778606E-02;
565 w[1] = 0.46782440974053020444480928944566E-02;
566 w[2] = 0.43790899840937610846456372822265E-02;
567 w[3] = 0.12760020705410626922975774421129E-01;
568 w[4] = 0.34673634319836242706583072061103E-01;
569 w[5] = 0.10025165180245639919338696393626E-01;
570 w[6] = 0.11615619347983174558257617949020E-02;
571 w[7] = 0.20894553379853770048532357879375E-01;
572 w[8] = 0.23831566393070936109285638209472E-01;
573 w[9] = 0.20752749075081240697538867154710E-01;
574 w[10] = 0.21191699422660145703833059227548E-01;
575 w[11] = 0.16221915816210101079240533113508E-01;
576 w[12] = 0.15124040243920516850764130389157E-01;
577 w[13] = 0.75606611406926425730513610639911E-02;
578 w[14] = 0.67921804525194115915872354653919E-02;
579 w[15] = 0.11128622936210414622021183322419E-01;
580 w[16] = 0.43195358902170538658764280819587E-02;
581 p[0] = Vector2d(-0.71015029250539571205725188857831,
582 -0.56868110833624004481988611063840);
583 p[1] = Vector2d(0.00000000000000000000000000000000,
584 0.97274416749947380836266322101212);
585 p[2] = Vector2d(-0.87005513863591847539846627491196,
586 -0.56041590202911501559258672039248);
587 p[3] = Vector2d(-0.69945621064432203805136450119586,
588 -0.50955355803618757246691504082806);
589 p[4] = Vector2d(-0.24805042378404735475371987811852,
590 -0.35337391260199717622188423519488);
591 p[5] = Vector2d(0.00000000000000000000000000000000,
592 0.76863314856603408380627827197299);
593 p[6] = Vector2d(0.00000000000000000000000000000000,
594 0.11143817650139625458794243310849E+01);
595 p[7] = Vector2d(0.00000000000000000000000000000000,
596 0.27079298080151709690311725774220);
597 p[8] = Vector2d(-0.48257092691741797006456094245205,
598 -0.44820650104172157467171108779575);
599 p[9] = Vector2d(0.00000000000000000000000000000000,
600 -0.24469161409484972069659993886505);
601 p[10] = Vector2d(-0.25105983153559812324481383767489,
602 -0.50652963110043023623110954119541);
603 p[11] = Vector2d(0.00000000000000000000000000000000,
604 0.53749806844809532876819461539117);
605 p[12] = Vector2d(0.00000000000000000000000000000000,
606 -0.43599548606828934030698875208946);
607 p[13] = Vector2d(0.00000000000000000000000000000000,
608 0.00000000000000000000000000000000);
609 p[14] = Vector2d(0.00000000000000000000000000000000,
610 -0.55141263467657578807862062425378);
611 p[15] = Vector2d(-0.50128815307877630097134071409913,
612 -0.55150176836813067274425858670454);
613 p[16] = Vector2d(-0.26869006747347756381758551053812,
614 -0.57376647619684422448809207050633);
615 break;
616 case 20:
617 // Order 20 (79 pts)
618 // 1/6 data for 20-th order quadrature with 18 nodes.
619 compressedSize = 18;
620 fullSize = 79;
621 w.resize(compressedSize);
622 p.resize(compressedSize);
623 w[0] = 0.12072956229196140184720818378917E-01;
624 w[1] = 0.28443984028101927395806965629882E-02;
625 w[2] = 0.93465277263442986124162626755397E-02;
626 w[3] = 0.29739840427656477081802036308844E-02;
627 w[4] = 0.20327046933776882823607497409423E-01;
628 w[5] = 0.12440057912161099228836551604472E-01;
629 w[6] = 0.57983520915299366578479709959397E-02;
630 w[7] = 0.30774405447413411002155380888934E-01;
631 w[8] = 0.18534535260005961010495899016617E-01;
632 w[9] = 0.61022450704916040183649592581025E-02;
633 w[10] = 0.15757087201875994349887096272192E-01;
634 w[11] = 0.18146095122192897098014042659411E-01;
635 w[12] = 0.10912126413380354963231665469691E-01;
636 w[13] = 0.97275807652705556020653743902143E-02;
637 w[14] = 0.22813420666829580712213934309259E-01;
638 w[15] = 0.94183526939491428417826897656981E-02;
639 w[16] = 0.10513336056091899919123590224643E-02;
640 w[17] = 0.10305163239812520591223081322085E-01;
641 p[0] = Vector2d(0.00000000000000000000000000000000,
642 0.50935573580030290124442500215952);
643 p[1] = Vector2d(0.00000000000000000000000000000000,
644 0.10254518566344431484070667698816E+01);
645 p[2] = Vector2d(0.00000000000000000000000000000000,
646 -0.49506265376045875810405496904400);
647 p[3] = Vector2d(-0.86696389117550812661190351318543,
648 -0.56894127058564452950719739998646);
649 p[4] = Vector2d(-0.46255868049954115157854976204512,
650 -0.39335935346809758365690922062188);
651 p[5] = Vector2d(0.00000000000000000000000000000000,
652 -0.38873359764810130895317005413822);
653 p[6] = Vector2d(-0.67416180418116902260753583861473,
654 -0.56423729270253943031731484496373);
655 p[7] = Vector2d(-0.22447168033665606945391317277106,
656 -0.33519558519158101515864503661923);
657 p[8] = Vector2d(0.00000000000000000000000000000000,
658 0.27281208605145075547218518170954);
659 p[9] = Vector2d(0.00000000000000000000000000000000,
660 0.00000000000000000000000000000000);
661 p[10] = Vector2d(-0.55640337063475932672618703937903,
662 -0.49670535155060417023204843137510);
663 p[11] = Vector2d(0.00000000000000000000000000000000,
664 -0.20816484443009696237324462486882);
665 p[12] = Vector2d(-0.76173172264834809386157300085862,
666 -0.51090241799312035370196362374051);
667 p[13] = Vector2d(-0.15012093407474928012860293037678,
668 -0.56032152802942467258347810157577);
669 p[14] = Vector2d(-0.27874288623783821051052255615910,
670 -0.48210916153383866244702005141785);
671 p[15] = Vector2d(-0.42809996429665844299450237790398,
672 -0.55875287099133282930781054909746);
673 p[16] = Vector2d(0.00000000000000000000000000000000,
674 0.11166780705147990599713407600049E+01);
675 p[17] = Vector2d(0.00000000000000000000000000000000,
676 0.77578464434062421187747427697944);
677 break;
678 case 21:
679 // Order 21 (87 pts)
680 // 1/6 data for 21-th order quadrature with 19 nodes.
681 compressedSize = 19;
682 fullSize = 87;
683 w.resize(compressedSize);
684 p.resize(compressedSize);
685 w[0] = 0.14115632059803205472519666814894E-01;
686 w[1] = 0.23025262548389042223555118865658E-01;
687 w[2] = 0.29202561691086176915750601020522E-02;
688 w[3] = 0.55355656065861078854118874771594E-02;
689 w[4] = 0.15135314836891179901866111095885E-01;
690 w[5] = 0.24278255412699264374036359934954E-01;
691 w[6] = 0.13779168816408564476674209048439E-01;
692 w[7] = 0.58970817066310603066620906137064E-02;
693 w[8] = 0.19083475799818969202994305068534E-01;
694 w[9] = 0.89861747152080313144225770269461E-02;
695 w[10] = 0.12802269114319752046734087041489E-01;
696 w[11] = 0.20930889409056329487663117084041E-01;
697 w[12] = 0.80375338997864963118800061347869E-02;
698 w[13] = 0.12907050562519806085002873135871E-01;
699 w[14] = 0.12913281131480700366519063232496E-01;
700 w[15] = 0.47063366701120542614104893201110E-02;
701 w[16] = 0.90017947131145907457116462987061E-02;
702 w[17] = 0.99277995286896342401230585292059E-03;
703 w[18] = 0.42975457006126745578855094841825E-02;
704 p[0] = Vector2d(0.00000000000000000000000000000000,
705 0.11915504280142053470339944811982);
706 p[1] = Vector2d(-0.21632544850764896966019269484948,
707 -0.22176792985285491406799950307586);
708 p[2] = Vector2d(0.00000000000000000000000000000000,
709 -0.56698524576800618707986473265874);
710 p[3] = Vector2d(-0.51732142577254394519688365999304,
711 -0.56534402375875828330832096864561);
712 p[4] = Vector2d(0.00000000000000000000000000000000,
713 -0.24347179507408359903990857698094);
714 p[5] = Vector2d(-0.23848997800485075950680771153334,
715 -0.36295805875690062325727639767329);
716 p[6] = Vector2d(-0.49726138663597772473398444337837,
717 -0.50981524806986605698152573307478);
718 p[7] = Vector2d(-0.72412950658754887280604342699955,
719 -0.56083300395461387753780504376756);
720 p[8] = Vector2d(-0.25333184867896101624130032052433,
721 -0.48546117771023431955108992405636);
722 p[9] = Vector2d(0.00000000000000000000000000000000,
723 0.74251201445344514748786620220395);
724 p[10] = Vector2d(0.00000000000000000000000000000000,
725 0.49552108269676082383881281439860);
726 p[11] = Vector2d(-0.46634273354592047897176529761299,
727 -0.40335187439348537560379590829971);
728 p[12] = Vector2d(0.00000000000000000000000000000000,
729 -0.51360341626925635313747432894532);
730 p[13] = Vector2d(0.00000000000000000000000000000000,
731 -0.40349668011940382629268981404988);
732 p[14] = Vector2d(-0.69288931850735639864308358232905,
733 -0.49169851113649364618692601028995);
734 p[15] = Vector2d(0.00000000000000000000000000000000,
735 0.96892916731392889311013905422251);
736 p[16] = Vector2d(-0.26783854808923110943600296777461,
737 -0.55958871884460214682886011537049);
738 p[17] = Vector2d(0.00000000000000000000000000000000,
739 0.11174875776997437235819388085953E+01);
740 p[18] = Vector2d(-0.87825896621183219776432484250545,
741 -0.55950684866453675407246048332841);
742 break;
743 case 22:
744 // Order 22 (96 pts)
745 // 1/6 data for 22-th order quadrature with 20 nodes.
746 compressedSize = 20;
747 fullSize = 96;
748 w.resize(compressedSize);
749 p.resize(compressedSize);
750 w[0] = 0.88789485269040415184442000093073E-02;
751 w[1] = 0.91213138484983310796492167899650E-02;
752 w[2] = 0.34157891281528518722433813845768E-02;
753 w[3] = 0.13868632623761798604503963871564E-01;
754 w[4] = 0.10542607716173479246541995276511E-01;
755 w[5] = 0.12406032586949329015430983875961E-01;
756 w[6] = 0.98936888063393894436023103307196E-02;
757 w[7] = 0.14736493275333048326268550862834E-01;
758 w[8] = 0.23319638474620094676086399806944E-01;
759 w[9] = 0.64543696619767795008356091295137E-02;
760 w[10] = 0.28567254691249129006535922249255E-01;
761 w[11] = 0.34805812400404550009501818114158E-02;
762 w[12] = 0.15348348448970428911081050216648E-01;
763 w[13] = 0.20675736766822369708334848331883E-01;
764 w[14] = 0.54047041342285612785845222377716E-02;
765 w[15] = 0.13902459659667285747407760303210E-01;
766 w[16] = 0.66515392643746496117585264091036E-02;
767 w[17] = 0.23486059112870622145372854661800E-02;
768 w[18] = 0.94860727130382766679283796797328E-02;
769 w[19] = 0.84285134702804870581139558973652E-03;
770 p[0] = Vector2d(0.00000000000000000000000000000000,
771 -0.17961779550825402665053150536356);
772 p[1] = Vector2d(0.00000000000000000000000000000000,
773 -0.43105921890016050589097298460315);
774 p[2] = Vector2d(-0.85243937884353040180383114561341,
775 -0.56370814820709365122621895231987);
776 p[3] = Vector2d(0.00000000000000000000000000000000,
777 0.13432079752143621239079354899726);
778 p[4] = Vector2d(0.00000000000000000000000000000000,
779 0.50168092900112124608440590878512);
780 p[5] = Vector2d(0.00000000000000000000000000000000,
781 -0.30708760414931325796548069627474);
782 p[6] = Vector2d(-0.77445005331884859316935899829027,
783 -0.49983703894353862614316233613125);
784 p[7] = Vector2d(-0.13904123725801872358993428337677,
785 -0.51105561801610634168636959252531);
786 p[8] = Vector2d(-0.23304071399817585574874678659693,
787 -0.39938711325112050072985537594951);
788 p[9] = Vector2d(-0.26744719790035475459155300021176,
789 -0.56453267538284060850226818603628);
790 p[10] = Vector2d(-0.22878505379994225637259252841697,
791 -0.24638775273505893357364918660516);
792 p[11] = Vector2d(0.00000000000000000000000000000000,
793 -0.56405220111847180239219000037482);
794 p[12] = Vector2d(-0.38014474895820048454509648055133,
795 -0.50115450425960692839217225970244);
796 p[13] = Vector2d(-0.45773619140744569728808634071512,
797 -0.38909376761177045913072941229458);
798 p[14] = Vector2d(-0.69910784887798561027380170772980,
799 -0.56151116446763500432595204778315);
800 p[15] = Vector2d(-0.59915020623635852909092766037930,
801 -0.49377028890768631789742714088225);
802 p[16] = Vector2d(-0.50285479867282866077430913574272,
803 -0.56147791277581875684420297893483);
804 p[17] = Vector2d(0.00000000000000000000000000000000,
805 0.10538658381143172910281642949327E+01);
806 p[18] = Vector2d(0.00000000000000000000000000000000,
807 0.75483396039626819990343725694118);
808 p[19] = Vector2d(-0.96233289290517364585870888247669,
809 -0.57423523645313343793449840203234);
810 break;
811 case 23:
812 // Order 23 (103 pts)
813 // 1/6 data for 23-th order quadrature with 23 nodes.
814 compressedSize = 23;
815 fullSize = 103;
816 w.resize(compressedSize);
817 p.resize(compressedSize);
818 w[0] = 0.33272536459172081243423482336248E-02;
819 w[1] = 0.29282906445970122313947765632691E-02;
820 w[2] = 0.25767019981925537648569711133608E-02;
821 w[3] = 0.70120823907155191278558743427503E-02;
822 w[4] = 0.30021012691706992785886911937141E-02;
823 w[5] = 0.54153159980733361962405203321805E-02;
824 w[6] = 0.25697547045533841474189815315258E-02;
825 w[7] = 0.19716254021883959296530794843124E-01;
826 w[8] = 0.75002329339313453980338046569360E-02;
827 w[9] = 0.21216747175005973181144357747315E-01;
828 w[10] = 0.58959569777444837996575869478525E-02;
829 w[11] = 0.15578768482573967095704720947014E-01;
830 w[12] = 0.15666454825087261920671374524318E-01;
831 w[13] = 0.13779632479555575444967581228253E-01;
832 w[14] = 0.27432767705683395855549801326363E-01;
833 w[15] = 0.95806564943421797133558151503143E-02;
834 w[16] = 0.15842534442935738142299813918141E-02;
835 w[17] = 0.93412022737984016156870664924120E-02;
836 w[18] = 0.12471084885337250207089191625388E-01;
837 w[19] = 0.13118150579496436724006564496384E-01;
838 w[20] = 0.13391809372550109677210592618043E-01;
839 w[21] = 0.70104711646684561385279668637298E-03;
840 w[22] = 0.55391494064449379081462896405052E-02;
841 p[0] = Vector2d(-0.65712214849613188354910369404174,
842 -0.53600577707072872244385605785502);
843 p[1] = Vector2d(-0.76660745759442637356707284950207,
844 -0.56836123421761655516206642728715);
845 p[2] = Vector2d(0.00000000000000000000000000000000,
846 0.10195753956759042232454257963319E+01);
847 p[3] = Vector2d(-0.77617921446782377203133884585557,
848 -0.52064114314269073816779046417287);
849 p[4] = Vector2d(-0.37522786404062973902300110350405,
850 -0.57311090188249385547279923552875);
851 p[5] = Vector2d(-0.58004024629858734710994966045544,
852 -0.56223762431711984631227409503690);
853 p[6] = Vector2d(-0.89831420119030494322671376626199,
854 -0.56494438615384257743957669387858);
855 p[7] = Vector2d(-0.21445385867353683733519417564443,
856 -0.45865810284942809229483887487305);
857 p[8] = Vector2d(0.00000000000000000000000000000000,
858 -0.50920750140222330666237718651679);
859 p[9] = Vector2d(-0.41730612660269037167833945853218,
860 -0.40115163422567045202527649710931);
861 p[10] = Vector2d(0.00000000000000000000000000000000,
862 0.85387432302293394609857524739803);
863 p[11] = Vector2d(0.00000000000000000000000000000000,
864 -0.21127615568211163281540431623842);
865 p[12] = Vector2d(0.00000000000000000000000000000000,
866 0.23237891808812345451062467122205);
867 p[13] = Vector2d(-0.59578381850403663485092059957580,
868 -0.47628237617657111987911856906806);
869 p[14] = Vector2d(-0.21256122928680759054743806564239,
870 -0.30917657348348663047591112852387);
871 p[15] = Vector2d(0.00000000000000000000000000000000,
872 0.67967040631012229365709649358046);
873 p[16] = Vector2d(0.00000000000000000000000000000000,
874 -0.57374563316209184490726633368261);
875 p[17] = Vector2d(-0.18972387666403954451075595735093,
876 -0.55178698374998971587781023092642);
877 p[18] = Vector2d(0.00000000000000000000000000000000,
878 -0.38575926863496184163982523488357);
879 p[19] = Vector2d(0.00000000000000000000000000000000,
880 0.46621101303269434423430967614670);
881 p[20] = Vector2d(-0.40941795217926264839064707861320,
882 -0.52020349027005747473328130414494);
883 p[21] = Vector2d(0.00000000000000000000000000000000,
884 0.11234666733002454051771461134785E+01);
885 p[22] = Vector2d(0.00000000000000000000000000000000,
886 0.00000000000000000000000000000000);
887 break;
888 case 24:
889 // Order 24 (112 pts)
890 // 1/6 data for 24-th order quadrature with 24 nodes.
891 compressedSize = 24;
892 fullSize = 112;
893 w.resize(compressedSize);
894 p.resize(compressedSize);
895 w[0] = 0.27518427300594242408167672948018E-02;
896 w[1] = 0.86272156924574954117622248939788E-02;
897 w[2] = 0.68297766559224770708029514748518E-02;
898 w[3] = 0.18615927197937334900149347500352E-01;
899 w[4] = 0.20102296969937806928616412243917E-01;
900 w[5] = 0.25227162946694301850912768013948E-02;
901 w[6] = 0.40617630703098676858295809545372E-03;
902 w[7] = 0.70624104072789811560052517607139E-02;
903 w[8] = 0.19783032876181461967862187704075E-01;
904 w[9] = 0.94811737732738431203731642290050E-02;
905 w[10] = 0.11719477113696286147199954244934E-01;
906 w[11] = 0.13091319693878567354029144297298E-01;
907 w[12] = 0.18888756936770716280013255717068E-01;
908 w[13] = 0.55829824091059095164775149600824E-02;
909 w[14] = 0.53712600687036400647412622640952E-02;
910 w[15] = 0.28580170714449744209873764706737E-02;
911 w[16] = 0.34075951304887990048003455619043E-02;
912 w[17] = 0.13502925079066951153738813940684E-01;
913 w[18] = 0.15587004356588926954110113389875E-01;
914 w[19] = 0.68123246685728385281460756274493E-02;
915 w[20] = 0.48789848045465228958508578200054E-02;
916 w[21] = 0.65983957168252596123510923456370E-02;
917 w[22] = 0.23649160198439673642978641242145E-02;
918 w[23] = 0.12499140851132809089730270870368E-01;
919 p[0] = Vector2d(0.00000000000000000000000000000000,
920 0.00000000000000000000000000000000);
921 p[1] = Vector2d(0.00000000000000000000000000000000,
922 -0.29638036437519615283072347461721);
923 p[2] = Vector2d(0.00000000000000000000000000000000,
924 0.59226680488565760168026231308527);
925 p[3] = Vector2d(-0.34667319739036827052339346563820,
926 -0.28226548001723516079013789395034);
927 p[4] = Vector2d(-0.17228858629081128185759902607603,
928 -0.28331767767631024291018810948384);
929 p[5] = Vector2d(0.00000000000000000000000000000000,
930 0.10127221547590450105942364741960E+01);
931 p[6] = Vector2d(0.00000000000000000000000000000000,
932 0.11313827320245876948911869224423E+01);
933 p[7] = Vector2d(-0.77534695461921828552255298716799,
934 -0.51098115521172256268950056659125);
935 p[8] = Vector2d(-0.11830295887885374209920762360797,
936 -0.41686453554510700393115126619431);
937 p[9] = Vector2d(-0.63345645296256978775220168640372,
938 -0.50600932341283035759161511854566);
939 p[10] = Vector2d(-0.45325106659208302305278781769339,
940 -0.50881145127983229474141858425667);
941 p[11] = Vector2d(-0.23690281718952127487435067945971,
942 -0.51050575168543342224214849423552);
943 p[12] = Vector2d(-0.34221988285107932085443071544544,
944 -0.41361091237025662602034980078080);
945 p[13] = Vector2d(-0.22606667538238729829778396624439,
946 -0.56455388712044611888415763422386);
947 p[14] = Vector2d(-0.44495329180516622777269400394083,
948 -0.56428020831842462418864564259509);
949 p[15] = Vector2d(0.00000000000000000000000000000000,
950 -0.56437817053789745666612468626219);
951 p[16] = Vector2d(-0.80452275594748579655555201318815,
952 -0.56481964637042001394869703493070);
953 p[17] = Vector2d(0.00000000000000000000000000000000,
954 0.23937641179955802312096963113378);
955 p[18] = Vector2d(-0.54364142669910333813418299173702,
956 -0.41182463487840787556899445189961);
957 p[19] = Vector2d(0.00000000000000000000000000000000,
958 -0.51019021318165292778033437868107);
959 p[20] = Vector2d(-0.64253738555354065050641405694698,
960 -0.56351478264510604651378681421503);
961 p[21] = Vector2d(0.00000000000000000000000000000000,
962 0.82100884119022006576877128851229);
963 p[22] = Vector2d(-0.91734214502720875776048093000479,
964 -0.56336411329583398015443759191052);
965 p[23] = Vector2d(0.00000000000000000000000000000000,
966 -0.14556014125612880230802044190807);
967 break;
968 case 25:
969 // Order 25 (120 pts)
970 // 1/6 data for 25-th order quadrature with 25 nodes.
971 compressedSize = 25;
972 fullSize = 120;
973 w.resize(compressedSize);
974 p.resize(compressedSize);
975 w[0] = 0.9008428931929272978284555982082135E-02;
976 w[1] = 0.7624848013076671474981932002250592E-02;
977 w[2] = 0.2204184225038700283242061056342968E-02;
978 w[3] = 0.1185627435111220996327302583177423E-01;
979 w[4] = 0.8306372211706409316335445471098323E-02;
980 w[5] = 0.2235547623030763175546447504392690E-02;
981 w[6] = 0.1252247261761103193500179756735477E-01;
982 w[7] = 0.7561849278446502447261825323255299E-02;
983 w[8] = 0.1432466758007433215998170125431021E-01;
984 w[9] = 0.2084707600211569027917629357552928E-01;
985 w[10] = 0.1400325214573775947713571136961477E-01;
986 w[11] = 0.3349765842027190344172740201222808E-02;
987 w[12] = 0.2357591414900995147064953536612743E-01;
988 w[13] = 0.1047023089196828804219791222697079E-01;
989 w[14] = 0.4295322980586838056654945868959874E-02;
990 w[15] = 0.7178707806144740205045671854952271E-02;
991 w[16] = 0.6939081726476119924677787292839119E-02;
992 w[17] = 0.1808296563518180275001928371748139E-01;
993 w[18] = 0.8985018370003820265092102638348177E-02;
994 w[19] = 0.9626213990805757770654565513598145E-02;
995 w[20] = 0.6042636212818408481919357354311341E-02;
996 w[21] = 0.2228091765228852260396032167229650E-02;
997 w[22] = 0.5307136158214250141007056133594507E-03;
998 w[23] = 0.5556521038676869804672708399129014E-02;
999 w[24] = 0.1989511820786002256062338480298376E-02;
1000 p[0] = Vector2d(0.0000000000000000000000000000000000,
1001 -0.1881308452404751474791770362222539);
1002 p[1] = Vector2d(0.0000000000000000000000000000000000,
1003 0.4237594812020736794258174198266686);
1004 p[2] = Vector2d(-0.1173472784070389885314628951496541,
1005 -0.5741998997668708578748305284336055);
1006 p[3] = Vector2d(0.0000000000000000000000000000000000,
1007 0.1172287234795072247760841771164101);
1008 p[4] = Vector2d(-0.6450240460256727525710559747446056,
1009 -0.5133334261186957616800512329664083);
1010 p[5] = Vector2d(0.0000000000000000000000000000000000,
1011 0.1025756540328684422937411013290944E+01);
1012 p[6] = Vector2d(-0.5664343384798589665228955002024030,
1013 -0.4407640888171437954387566505919770);
1014 p[7] = Vector2d(0.0000000000000000000000000000000000,
1015 0.6520273733414071456865438634979216);
1016 p[8] = Vector2d(-0.3910189989265832790334726502623686,
1017 -0.4581028502386777788723229469606161);
1018 p[9] = Vector2d(-0.2012181263167401097079073382399585,
1019 -0.3764327086872663044277454612227560);
1020 p[10] = Vector2d(-0.2038066062734541936977294977052958,
1021 -0.4936620181125184332135804336351929);
1022 p[11] = Vector2d(-0.7946055588153782250820470421122720,
1023 -0.5650036663011180322305141381076653);
1024 p[12] = Vector2d(-0.1972942521563999602645401846428416,
1025 -0.2245437989161187688779317294631657);
1026 p[13] = Vector2d(0.0000000000000000000000000000000000,
1027 -0.3167088545245427646354993582346312);
1028 p[14] = Vector2d(-0.6355041410448193873418685582169463,
1029 -0.5648168693903931904010878260331929);
1030 p[15] = Vector2d(-0.2629485129580234408600628587611446,
1031 -0.5549827672775567477688079143971306);
1032 p[16] = Vector2d(-0.7847262192370077797696941981117842,
1033 -0.5120728253301845715218718158194338);
1034 p[17] = Vector2d(-0.3957476856294985173592517287113179,
1035 -0.3400477140537724278182036849058156);
1036 p[18] = Vector2d(0.0000000000000000000000000000000000,
1037 -0.4464373961278773726299668315862868);
1038 p[19] = Vector2d(-0.4622691203344359376572172601919067,
1039 -0.5348456380201123672101389788730482);
1040 p[20] = Vector2d(0.0000000000000000000000000000000000,
1041 0.8327133265910420576580234570528976);
1042 p[21] = Vector2d(-0.9106735335147376498998363730530587,
1043 -0.5648988533934863981864107760207050);
1044 p[22] = Vector2d(0.0000000000000000000000000000000000,
1045 0.1127558109594723670980720926142653E+01);
1046 p[23] = Vector2d(0.0000000000000000000000000000000000,
1047 -0.5393815319272739058039649892539370);
1048 p[24] = Vector2d(-0.4402761583839805030337834115210799,
1049 -0.5758062076985843575874824269557718);
1050 break;
1051 case 26:
1052 // Order 26 (130 pts)
1053 // 1/6 data for 26-th order quadrature with 27 nodes.
1054 compressedSize = 27;
1055 fullSize = 130;
1056 w.resize(compressedSize);
1057 p.resize(compressedSize);
1058 w[0] = 0.18405643148504851636845096658812E-02;
1059 w[1] = 0.15866124696197450917004000667221E-02;
1060 w[2] = 0.32334788927109915113560216754175E-02;
1061 w[3] = 0.43503414953892562281646670251570E-02;
1062 w[4] = 0.14288712197897272562630508508321E-02;
1063 w[5] = 0.34675465145466701985841712380871E-03;
1064 w[6] = 0.84276087852092015548095244572855E-02;
1065 w[7] = 0.60726432878990522834955233622811E-02;
1066 w[8] = 0.34890169558965309347553212683802E-02;
1067 w[9] = 0.18924451034788801438603304001786E-01;
1068 w[10] = 0.10870464987444917886855259943024E-01;
1069 w[11] = 0.18067009059088050381787430564450E-01;
1070 w[12] = 0.12810709081456309849270481375969E-01;
1071 w[13] = 0.13684071075521919559699025257164E-01;
1072 w[14] = 0.12855178620950701539792686120650E-01;
1073 w[15] = 0.24441435248010210095439152942177E-02;
1074 w[16] = 0.23161806576119345400252126809257E-01;
1075 w[17] = 0.39044779268459560333810079419447E-02;
1076 w[18] = 0.75861820209001453910764490554566E-02;
1077 w[19] = 0.87224512475867079263341905985161E-02;
1078 w[20] = 0.13301723810749135614147082883679E-01;
1079 w[21] = 0.11150006112175140167331504007601E-01;
1080 w[22] = 0.10799966961615883203916038065002E-01;
1081 w[23] = 0.82509126176461880950437831298571E-02;
1082 w[24] = 0.44936607076337887632843933697535E-02;
1083 w[25] = 0.60428306726093991162278907047231E-02;
1084 w[26] = 0.14997307146623417159024790140175E-02;
1085 p[0] = Vector2d(-0.83506202914393021027297979613591,
1086 -0.56904567277510180660027224756771);
1087 p[1] = Vector2d(-0.90755758065010263994368282125220,
1088 -0.52685198805474673472457890788666);
1089 p[2] = Vector2d(0.00000000000000000000000000000000,
1090 0.92351636427246864597020638848735);
1091 p[3] = Vector2d(-0.82303054094670403650886493052722,
1092 -0.53195431906859035819325095761412);
1093 p[4] = Vector2d(-0.92810181341106024720340709798891,
1094 -0.56748083945007940043218005705387);
1095 p[5] = Vector2d(0.00000000000000000000000000000000,
1096 0.11327377305988868881940987951170E+01);
1097 p[6] = Vector2d(-0.69330289802874450653761692118936,
1098 -0.50508092946854773292053923643775);
1099 p[7] = Vector2d(-0.68258007506466821571212258497636,
1100 -0.40406610454040422598363913049004);
1101 p[8] = Vector2d(0.00000000000000000000000000000000,
1102 -0.55571014035627985057841942377748);
1103 p[9] = Vector2d(-0.37884097121369810169657547549398,
1104 -0.36843999644558691382643352539671);
1105 p[10] = Vector2d(-0.19241793339756862919367432495484,
1106 -0.52618905199929260038296168881663);
1107 p[11] = Vector2d(-0.19560294198083243085696241887367,
1108 -0.42600632803845996222493394451907);
1109 p[12] = Vector2d(0.00000000000000000000000000000000,
1110 -0.19209885829653007293204006471099);
1111 p[13] = Vector2d(-0.54994973953459751935852183658111,
1112 -0.44517417854698789674258323696018);
1113 p[14] = Vector2d(0.00000000000000000000000000000000,
1114 0.20849122488063464188861120733336);
1115 p[15] = Vector2d(-0.16853064985401657599005512286299,
1116 -0.57378652101945731348551401873832);
1117 p[16] = Vector2d(-0.19069066073587361426189189987171,
1118 -0.28207244982265046632145543744881);
1119 p[17] = Vector2d(-0.70452513950898761906235841668280,
1120 -0.56349454153453596561203489840544);
1121 p[18] = Vector2d(0.00000000000000000000000000000000,
1122 -0.47976154988972600729665936044323);
1123 p[19] = Vector2d(0.00000000000000000000000000000000,
1124 0.62053111439688169923700812019236);
1125 p[20] = Vector2d(-0.38125784859592138782794589237690,
1126 -0.48872837635331578543021077756047);
1127 p[21] = Vector2d(0.00000000000000000000000000000000,
1128 0.42016147390516239342109813663991);
1129 p[22] = Vector2d(0.00000000000000000000000000000000,
1130 -0.35559725708670166364713905486076);
1131 p[23] = Vector2d(-0.54412206780215007658051815811596,
1132 -0.53788618565697879751607695617128);
1133 p[24] = Vector2d(0.00000000000000000000000000000000,
1134 0.00000000000000000000000000000000);
1135 p[25] = Vector2d(-0.36472969593802653513797826614735,
1136 -0.56094203589043577139583078831749);
1137 p[26] = Vector2d(-0.54666639745238929451134867455648,
1138 -0.57654658422239277276250600074448);
1139 break;
1140 case 27:
1141 // Order 27 (141 pts)
1142 // 1/6 data for 27-th order quadrature with 29 nodes.
1143 compressedSize = 29;
1144 fullSize = 141;
1145 w.resize(compressedSize);
1146 p.resize(compressedSize);
1147 w[0] = 0.62908896936458875949825510480729E-02;
1148 w[1] = 0.61922333914763423137964574348267E-02;
1149 w[2] = 0.79294953183311154387033613859802E-02;
1150 w[3] = 0.34300980930711509534751164464939E-02;
1151 w[4] = 0.72802514257052478410465398503156E-02;
1152 w[5] = 0.16526515457441278585611916710974E-01;
1153 w[6] = 0.88646240578297716926902784284285E-02;
1154 w[7] = 0.84164942766149210573921235710888E-02;
1155 w[8] = 0.10362744260858240831238545743647E-01;
1156 w[9] = 0.74242647178535630111397120532648E-02;
1157 w[10] = 0.18050472608152491107489365033227E-01;
1158 w[11] = 0.12979477412320056876744738018169E-01;
1159 w[12] = 0.84957485240956053915702977121675E-02;
1160 w[13] = 0.38532361892010405972617343674236E-02;
1161 w[14] = 0.46834056015487726028700708666340E-02;
1162 w[15] = 0.93844438279733984004320414434716E-02;
1163 w[16] = 0.18275921896011569137278968805752E-02;
1164 w[17] = 0.16250438567218251268133507322890E-01;
1165 w[18] = 0.14073701448288708561589196775091E-01;
1166 w[19] = 0.42673273430936345003913524443316E-02;
1167 w[20] = 0.64114157223758639239090891131632E-02;
1168 w[21] = 0.14385493205073417350192096372167E-01;
1169 w[22] = 0.26520511807255348074799784674523E-02;
1170 w[23] = 0.15750426454989104155554651654759E-02;
1171 w[24] = 0.56948602402767961466213505376975E-02;
1172 w[25] = 0.37866239802690712287683217368769E-03;
1173 w[26] = 0.60834035556216461895312643871598E-02;
1174 w[27] = 0.44670891390107651705739274528023E-02;
1175 w[28] = 0.11141963344849334695096764261554E-02;
1176 p[0] = Vector2d(0.00000000000000000000000000000000,
1177 -0.16413151730008831921378959939565);
1178 p[1] = Vector2d(0.00000000000000000000000000000000,
1179 -0.39260212186133936931290882404374);
1180 p[2] = Vector2d(0.00000000000000000000000000000000,
1181 -0.28685548406622891421303264493955);
1182 p[3] = Vector2d(0.00000000000000000000000000000000,
1183 0.87651707827225350568041079993505);
1184 p[4] = Vector2d(-0.39518500208573395738563214277924,
1185 -0.52412330045467293432896313035733);
1186 p[5] = Vector2d(-0.18067167650541349528945895328146,
1187 -0.35365133466807523825318937197025);
1188 p[6] = Vector2d(0.00000000000000000000000000000000,
1189 0.34617781266034228041185039673984);
1190 p[7] = Vector2d(-0.22010619980742642366080422865661,
1191 -0.52879484695937722926887109757979);
1192 p[8] = Vector2d(0.00000000000000000000000000000000,
1193 0.11143276407223406542419307680993);
1194 p[9] = Vector2d(0.00000000000000000000000000000000,
1195 0.54924497463551990458204709806308);
1196 p[10] = Vector2d(-0.15697790099606730648797798168280,
1197 -0.21512488834550352002334718330313);
1198 p[11] = Vector2d(-0.11950430106482160834133342082078,
1199 -0.46296751685726527586026447389785);
1200 p[12] = Vector2d(-0.53186222626517032602651279993926,
1201 -0.50628322547494511263210318063682);
1202 p[13] = Vector2d(-0.33699460349041562232377307811535,
1203 -0.56817102280382668923519285087070);
1204 p[14] = Vector2d(0.00000000000000000000000000000000,
1205 -0.52734615007802219988019679750528);
1206 p[15] = Vector2d(-0.65833539230075168484436817404932,
1207 -0.46810290449456450390041493630006);
1208 p[16] = Vector2d(0.00000000000000000000000000000000,
1209 0.10418694827155926471229736250245E+01);
1210 p[17] = Vector2d(-0.34054463966780382785672888075568,
1211 -0.31933904292428472681005197948760);
1212 p[18] = Vector2d(-0.48855088636612117128392523236728,
1213 -0.41333011108690526666610282415552);
1214 p[19] = Vector2d(-0.11439817909230903220469204061727,
1215 -0.56768418377653115453110237898598);
1216 p[20] = Vector2d(0.00000000000000000000000000000000,
1217 0.71278197104667799412847982912227);
1218 p[21] = Vector2d(-0.32048121511116152782316941977578,
1219 -0.44731325970043847901381172777520);
1220 p[22] = Vector2d(-0.82912386550847366110475798016042,
1221 -0.56525617363432326597137998165819);
1222 p[23] = Vector2d(-0.92517649077195119501691703892095,
1223 -0.56679589738285794930315523889142);
1224 p[24] = Vector2d(-0.80474142977810041392358745728250,
1225 -0.51666886935781835232132779079591);
1226 p[25] = Vector2d(0.00000000000000000000000000000000,
1227 0.11317016084912388514794935172145E+01);
1228 p[26] = Vector2d(-0.68622113488411601370378338983970,
1229 -0.54383161967864243507848420517516);
1230 p[27] = Vector2d(-0.53322822093527312322581065671644,
1231 -0.56465005418958368460329453488175);
1232 p[28] = Vector2d(-0.70419862931679748024077449725206,
1233 -0.57650099541315185890062370844174);
1234 break;
1235 case 28:
1236 // Order 28 (150 pts)
1237 // 1/6 data for 28-th order quadrature with 30 nodes.
1238 compressedSize = 30;
1239 fullSize = 150;
1240 w.resize(compressedSize);
1241 p.resize(compressedSize);
1242 w[0] = 0.94510343300931478888807464349302E-02;
1243 w[1] = 0.27868387832627458914989081520856E-02;
1244 w[2] = 0.77591410167297521729327740749191E-02;
1245 w[3] = 0.20473848133013403509762806085984E-03;
1246 w[4] = 0.58247494675789234908196566576895E-02;
1247 w[5] = 0.16526278580754572911455183578579E-01;
1248 w[6] = 0.93510917286426097352060797088729E-02;
1249 w[7] = 0.17248616209516818765814273146624E-01;
1250 w[8] = 0.23411580330424100035578129796391E-02;
1251 w[9] = 0.10544291927832240582270995892779E-01;
1252 w[10] = 0.11140166083431255028726297685594E-01;
1253 w[11] = 0.86155130881102002892400222873137E-02;
1254 w[12] = 0.31279976876179532211383324626933E-02;
1255 w[13] = 0.56287726620134695271354834891188E-02;
1256 w[14] = 0.67531408157501848324491455305183E-02;
1257 w[15] = 0.12483494047479294769456871723105E-02;
1258 w[16] = 0.13484476650919357880017855769673E-01;
1259 w[17] = 0.30592737461003165508862947478784E-02;
1260 w[18] = 0.51392317566586590413074635030704E-02;
1261 w[19] = 0.89148192557630731697759322343474E-02;
1262 w[20] = 0.11746113414800820107755108695172E-01;
1263 w[21] = 0.77883730444682187225229982545828E-02;
1264 w[22] = 0.82393269507997219649806927417388E-02;
1265 w[23] = 0.41327061926490009393858952877356E-02;
1266 w[24] = 0.16828820578478445853343577421317E-01;
1267 w[25] = 0.42179069123934048296232732334268E-02;
1268 w[26] = 0.50551130485581726523795360821379E-02;
1269 w[27] = 0.78587185794036915888389747222587E-02;
1270 w[28] = 0.33745795976141645086914914308322E-02;
1271 w[29] = 0.95433079635401447385836219413628E-03;
1272 p[0] = Vector2d(0.00000000000000000000000000000000,
1273 0.10167280551560398976220492653467);
1274 p[1] = Vector2d(-0.88746481351385107345127069412778,
1275 -0.54006894012803566318386100608171);
1276 p[2] = Vector2d(-0.52414142110826588794486451384092,
1277 -0.49235910875172712775847678059386);
1278 p[3] = Vector2d(0.00000000000000000000000000000000,
1279 0.11380585570620829080112594647327E+01);
1280 p[4] = Vector2d(0.00000000000000000000000000000000,
1281 -0.43282761808513505745779087778619);
1282 p[5] = Vector2d(-0.33813652586499035853666003249694,
1283 -0.26963680688236239861351493942337);
1284 p[6] = Vector2d(0.00000000000000000000000000000000,
1285 -0.18337097274071869661622880573497);
1286 p[7] = Vector2d(-0.15580617966892316052928987225377,
1287 -0.24858562418623951123781187881298);
1288 p[8] = Vector2d(-0.71154528411036221771832562317249,
1289 -0.56962812500573696889109864019987);
1290 p[9] = Vector2d(-0.56152923713272450305409461113685,
1291 -0.42548755921389883340768034668690);
1292 p[10] = Vector2d(-0.15254044569676028218764760621125,
1293 -0.46791873168797857582730644925957);
1294 p[11] = Vector2d(0.00000000000000000000000000000000,
1295 0.26004754891078197570252274618257);
1296 p[12] = Vector2d(-0.32755930579423371309923889584162,
1297 -0.57016318648548524036109080252581);
1298 p[13] = Vector2d(-0.62891280297171951404385772231420,
1299 -0.53786850890931757394897545264776);
1300 p[14] = Vector2d(-0.42562113948455467103037050486861,
1301 -0.53803125336295947108113127503277);
1302 p[15] = Vector2d(-0.94140501712803148246323405238881,
1303 -0.56669876546503991682732553682320);
1304 p[16] = Vector2d(-0.40187196592587673308438468971732,
1305 -0.38330233101247314078613426299384);
1306 p[17] = Vector2d(-0.53523254211119856990013167468684,
1307 -0.56906848596694110780690954139249);
1308 p[18] = Vector2d(0.00000000000000000000000000000000,
1309 0.78786657352369156249728778058495);
1310 p[19] = Vector2d(0.00000000000000000000000000000000,
1311 -0.33331193876680684460752457704886);
1312 p[20] = Vector2d(-0.34633469607556379390839833888773,
1313 -0.46918587486573210609633873244633);
1314 p[21] = Vector2d(-0.70700191257838956126529249352041,
1315 -0.49038194407928164918552182401052);
1316 p[22] = Vector2d(-0.22662440063670192933975301253849,
1317 -0.53278806818989164900646131251018);
1318 p[23] = Vector2d(-0.10878662096604677283105449627330,
1319 -0.56757013000065183447611373867027);
1320 p[24] = Vector2d(-0.20631360388374033702271668616836,
1321 -0.37281400062453798641014279266735);
1322 p[25] = Vector2d(-0.79729933059714082413378391932539,
1323 -0.54575369430987430575525395306512);
1324 p[26] = Vector2d(0.00000000000000000000000000000000,
1325 -0.52483841201603278034315141768996);
1326 p[27] = Vector2d(0.00000000000000000000000000000000,
1327 0.60516346416700599387343286263650);
1328 p[28] = Vector2d(0.00000000000000000000000000000000,
1329 0.94394739374781944379137982654772);
1330 p[29] = Vector2d(-0.85821826344224735007618585707670,
1331 -0.57527136550578091340619030932143);
1332 break;
1333 case 29:
1334 // Order 29 (159 pts)
1335 // 1/6 data for 29-th order quadrature with 32 nodes.
1336 compressedSize = 32;
1337 fullSize = 159;
1338 w.resize(compressedSize);
1339 p.resize(compressedSize);
1340 w[0] = 0.10123938451463759970089359052465E-02;
1341 w[1] = 0.13755888140419727618158412742168E-01;
1342 w[2] = 0.17804164437108562499941904599297E-02;
1343 w[3] = 0.99788818279604048507240176161182E-03;
1344 w[4] = 0.84743804866337155687860067687316E-02;
1345 w[5] = 0.16743020381843061998817864135626E-02;
1346 w[6] = 0.17826547012452998087762815394247E-01;
1347 w[7] = 0.36343788555051997590886515586824E-02;
1348 w[8] = 0.59390298859384334961673129484654E-02;
1349 w[9] = 0.35467172304180440218981679487014E-03;
1350 w[10] = 0.73509973972781686569789083069102E-02;
1351 w[11] = 0.18823092677622066092420624317723E-02;
1352 w[12] = 0.12353105880035723559433384108907E-01;
1353 w[13] = 0.10295539688423531976513712860782E-01;
1354 w[14] = 0.13990388400987746999801020264183E-01;
1355 w[15] = 0.40156561227163462310099803253767E-02;
1356 w[16] = 0.50344656666784366169434955781421E-02;
1357 w[17] = 0.82512598969804302641269300260534E-02;
1358 w[18] = 0.22921998323995127511965450098240E-02;
1359 w[19] = 0.69563841616376041067990591845970E-02;
1360 w[20] = 0.74610255726590545841053915581726E-02;
1361 w[21] = 0.86623962103173048554261254624063E-02;
1362 w[22] = 0.12080143560322868032076843683152E-01;
1363 w[23] = 0.40366629789560296898640227002180E-02;
1364 w[24] = 0.16475096833731066604740732689647E-01;
1365 w[25] = 0.10732740719960036973478529643535E-01;
1366 w[26] = 0.47922734876003179932483846983130E-02;
1367 w[27] = 0.53780564637593511319450846071907E-02;
1368 w[28] = 0.67864123981058792365600157845442E-02;
1369 w[29] = 0.36908289770711881028317444421851E-02;
1370 w[30] = 0.10471484548953909836949668724134E-01;
1371 w[31] = 0.90634414524923745915451079527243E-03;
1372 p[0] = Vector2d(-0.87938703907162049393738648870781,
1373 -0.57262394724341608181908512435579);
1374 p[1] = Vector2d(-0.14324628011414286412542273880746,
1375 -0.30511050720283478498316524226896);
1376 p[2] = Vector2d(-0.35189538626807214171525397778246,
1377 -0.57371128821577701886180134696590);
1378 p[3] = Vector2d(0.00000000000000000000000000000000,
1379 -0.57359111146432687487737878042109);
1380 p[4] = Vector2d(-0.61554248268722133288024470174652,
1381 -0.45928362498519066569504746311567);
1382 p[5] = Vector2d(-0.93007010487368394982733169286299,
1383 -0.55859049859349923530121259720141);
1384 p[6] = Vector2d(-0.19742931116675328671024827830067,
1385 -0.19814832945992239613993592077499);
1386 p[7] = Vector2d(-0.82766874673327517194764945031097,
1387 -0.54048028336522896166963698554618);
1388 p[8] = Vector2d(-0.72491944440609982649676161027856,
1389 -0.50660081473204674367166958460713);
1390 p[9] = Vector2d(-0.97606406728761785676875297522146,
1391 -0.57457293178871935440458908351462);
1392 p[10] = Vector2d(0.00000000000000000000000000000000,
1393 -0.35003739955028665529791783308077);
1394 p[11] = Vector2d(0.00000000000000000000000000000000,
1395 0.10123351916554935691973791840677E+01);
1396 p[12] = Vector2d(-0.48236271621499169294961905466403,
1397 -0.40146746347211072112690881875070);
1398 p[13] = Vector2d(-0.17405270877030766542159522724513,
1399 -0.50542328918299929386212475640451);
1400 p[14] = Vector2d(-0.18672840783491580658483096931098,
1401 -0.41479896168463444735644949768926);
1402 p[15] = Vector2d(-0.49956457122986497525117031568907,
1403 -0.56230562425237497147426436905503);
1404 p[16] = Vector2d(-0.64840539960610806885812016702526,
1405 -0.54688501268470743019578735701145);
1406 p[17] = Vector2d(0.00000000000000000000000000000000,
1407 0.43276338426682519796086695407376);
1408 p[18] = Vector2d(-0.76445927822389460704185764718864,
1409 -0.56778324409762155852431972748668);
1410 p[19] = Vector2d(0.00000000000000000000000000000000,
1411 0.59786046049173946734694450915043);
1412 p[20] = Vector2d(-0.34535027682270612143829088272072,
1413 -0.53602539551087235345778481154042);
1414 p[21] = Vector2d(-0.51325936500558699339036907718902,
1415 -0.50755670245009570927755668717151);
1416 p[22] = Vector2d(-0.35532987585108812184220678363790,
1417 -0.45978142418549716875276682521809);
1418 p[23] = Vector2d(0.00000000000000000000000000000000,
1419 -0.53717224317544601306267373599653);
1420 p[24] = Vector2d(-0.32573169227336622410380909993533,
1421 -0.33566750808701799356359087057475);
1422 p[25] = Vector2d(0.00000000000000000000000000000000,
1423 0.10720328289321576370831152259048);
1424 p[26] = Vector2d(-0.18040262369805029614059002911543,
1425 -0.56337853290640048165947671108094);
1426 p[27] = Vector2d(0.00000000000000000000000000000000,
1427 0.75831443067019621851290191888360);
1428 p[28] = Vector2d(0.00000000000000000000000000000000,
1429 -0.45528374978288560170739457877104);
1430 p[29] = Vector2d(0.00000000000000000000000000000000,
1431 0.89932044998481280953329700019771);
1432 p[30] = Vector2d(0.00000000000000000000000000000000,
1433 -0.19844398974763577810899514361613);
1434 p[31] = Vector2d(-0.62723509783699348733500748068739,
1435 -0.57713645303871158784974277557031);
1436 break;
1437 case 30:
1438 // Order 30 (171 pts)
1439 // 1/6 data for 30-th order quadrature with 34 nodes.
1440 compressedSize = 34;
1441 fullSize = 171;
1442 w.resize(compressedSize);
1443 p.resize(compressedSize);
1444 w[0] = 0.55469340852267197383357734501536E-02;
1445 w[1] = 0.11300463022066637667549395901160E-03;
1446 w[2] = 0.77976368535667454572847114089957E-02;
1447 w[3] = 0.78230337119887396150629609702565E-02;
1448 w[4] = 0.25018123919483940113671864156512E-02;
1449 w[5] = 0.90508836547186347263240388076065E-02;
1450 w[6] = 0.18717426158053290329737464178677E-02;
1451 w[7] = 0.53860315402766333154068593578253E-02;
1452 w[8] = 0.11677070021275261169640320523198E-01;
1453 w[9] = 0.99157266127682177040571302280702E-02;
1454 w[10] = 0.51222447690487278622934837026924E-02;
1455 w[11] = 0.55706132346425325140873159634701E-03;
1456 w[12] = 0.89545764756588636881737594179016E-02;
1457 w[13] = 0.15881019953772277632781829119128E-02;
1458 w[14] = 0.48608613509509536172532545379762E-02;
1459 w[15] = 0.25781213160755392530469248853581E-02;
1460 w[16] = 0.29933391441706776190700124360794E-02;
1461 w[17] = 0.70603223137458408522017573340119E-02;
1462 w[18] = 0.77254463220316942248431581666276E-02;
1463 w[19] = 0.14875615552650235020592865135842E-01;
1464 w[20] = 0.18841554220226669798776264579558E-01;
1465 w[21] = 0.17011603553515205522964322169417E-01;
1466 w[22] = 0.70757738603786203845878772981467E-02;
1467 w[23] = 0.82670460199627466892622746876773E-02;
1468 w[24] = 0.61880970884828196145627428599983E-02;
1469 w[25] = 0.10262805248776557218482365083790E-01;
1470 w[26] = 0.24090825302303188401346360674076E-02;
1471 w[27] = 0.50298776686404106640379168657878E-02;
1472 w[28] = 0.25267049096575867286260646250422E-02;
1473 w[29] = 0.81629221043416840383932440429541E-02;
1474 w[30] = 0.98143263368157515388390143296277E-02;
1475 w[31] = 0.34778149711369936288944433476055E-02;
1476 w[32] = 0.18367906196371196197648328999357E-02;
1477 w[33] = 0.44170301264357154992013311250048E-03;
1478 p[0] = Vector2d(-0.43405710781709278714048879994740,
1479 -0.49449740552349402097090260436227);
1480 p[1] = Vector2d(0.00000000000000000000000000000000,
1481 0.11432041379660233658011039218632E+01);
1482 p[2] = Vector2d(-0.13719609648588667050981701694674,
1483 -0.43937592123719222447451521408216);
1484 p[3] = Vector2d(-0.23002603213365866154430597150794,
1485 -0.47742236692181668651784560731673);
1486 p[4] = Vector2d(0.00000000000000000000000000000000,
1487 0.90399516562083738727059247641795);
1488 p[5] = Vector2d(-0.35671356772393844272156480720059,
1489 -0.44352953384065130754596083984676);
1490 p[6] = Vector2d(0.00000000000000000000000000000000,
1491 0.99134074534282262769308436316314);
1492 p[7] = Vector2d(-0.49401409080195115810253005052280,
1493 -0.53793159129250810586076585776398);
1494 p[8] = Vector2d(-0.37062552685345952318116499093046,
1495 -0.36290163137317815520540870562751);
1496 p[9] = Vector2d(-0.51430581999606514802110718905564,
1497 -0.37663681425566764191708385069014);
1498 p[10] = Vector2d(0.00000000000000000000000000000000,
1499 -0.46660354209881582130470470379699);
1500 p[11] = Vector2d(0.00000000000000000000000000000000,
1501 0.11107528506358136609304671750972E+01);
1502 p[12] = Vector2d(-0.54607380091083807654188300887860,
1503 -0.46213867523774957532303180078394);
1504 p[13] = Vector2d(-0.84275872174416357830668461312136,
1505 -0.56966207432086504530851133019367);
1506 p[14] = Vector2d(0.00000000000000000000000000000000,
1507 0.73349519835786388112994533410054);
1508 p[15] = Vector2d(-0.57724024570193215242188127722161,
1509 -0.56927271273635792416671462689250);
1510 p[16] = Vector2d(-0.39821033011703771207712265483060,
1511 -0.56920325339091635438895039029322);
1512 p[17] = Vector2d(-0.30605985322806922570625655304903,
1513 -0.53373365021893670540255969319794);
1514 p[18] = Vector2d(-0.68776182141386689567302952570524,
1515 -0.46342190137736602703775671709799);
1516 p[19] = Vector2d(-0.19684758015531914348305332007873,
1517 -0.35889692861698105392115484048066);
1518 p[20] = Vector2d(-0.96321844715106605579144337343699E-01,
1519 -0.23982388127083061470496201687854);
1520 p[21] = Vector2d(-0.28286197991210025994286433769979,
1521 -0.24652609751239687685958293412409);
1522 p[22] = Vector2d(0.00000000000000000000000000000000,
1523 0.52281528171007302347717037989158);
1524 p[23] = Vector2d(-0.10333424594611078538852107076057,
1525 -0.52966101087647732119998666908062);
1526 p[24] = Vector2d(-0.64379410387887037331359309442254,
1527 -0.52874213045823877050213253058208);
1528 p[25] = Vector2d(0.00000000000000000000000000000000,
1529 -0.10029941117116486849674700598946);
1530 p[26] = Vector2d(-0.89873358431890446012484882993312,
1531 -0.54980647624872101250977315077756);
1532 p[27] = Vector2d(-0.78478618004244445633333163168023,
1533 -0.53007527494669219480580008827439);
1534 p[28] = Vector2d(-0.72349108151471496801951044440950,
1535 -0.56749280180954759083517414571717);
1536 p[29] = Vector2d(0.00000000000000000000000000000000,
1537 -0.35822245431797926788870429663662);
1538 p[30] = Vector2d(0.00000000000000000000000000000000,
1539 0.21098212229083163080456906246771);
1540 p[31] = Vector2d(-0.20239462350406048608674549751121,
1541 -0.56840882187053609024013730511891);
1542 p[32] = Vector2d(0.00000000000000000000000000000000,
1543 -0.56806418709095800771552792081267);
1544 p[33] = Vector2d(-0.94049820614395764193267866092540,
1545 -0.57642585867286344650886243834268);
1546 break;
1547 case 31:
1548 // Order 31 (181 pts)
1549 // 1/6 data for 31-th order quadrature with 37 nodes.
1550 compressedSize = 37;
1551 fullSize = 181;
1552 w.resize(compressedSize);
1553 p.resize(compressedSize);
1554 w[0] = 0.18300274150131503530218918260118E-02;
1555 w[1] = 0.26610940186702783315047214273191E-02;
1556 w[2] = 0.76415116557529348094479438274031E-02;
1557 w[3] = 0.58190756304798839792080800346536E-02;
1558 w[4] = 0.16896438572357084969785073782623E-02;
1559 w[5] = 0.37199019857877275953974147517983E-02;
1560 w[6] = 0.27793705473843310754776111206512E-02;
1561 w[7] = 0.66528731990096257950775283571449E-03;
1562 w[8] = 0.64939444386637490706930367932606E-03;
1563 w[9] = 0.17144436271854393525611545784889E-02;
1564 w[10] = 0.13414188931651306592837821888099E-01;
1565 w[11] = 0.10353383822703655875877567178813E-01;
1566 w[12] = 0.93715119938232228413834490764269E-02;
1567 w[13] = 0.65331420598530105269402018636481E-02;
1568 w[14] = 0.71547540812742549665898738315076E-02;
1569 w[15] = 0.15168844552172759195105122436401E-02;
1570 w[16] = 0.54989950731761515927595152639621E-02;
1571 w[17] = 0.83734196392879596672486354136481E-02;
1572 w[18] = 0.23857385517888400677977593831317E-02;
1573 w[19] = 0.73943641501760668515497495971065E-02;
1574 w[20] = 0.62903046982657749327353939866577E-02;
1575 w[21] = 0.21445996231349418275012329739199E-02;
1576 w[22] = 0.88044815101158239329257671015790E-02;
1577 w[23] = 0.47901323321320787218271749114584E-02;
1578 w[24] = 0.12231201498467946837374439661990E-02;
1579 w[25] = 0.16971546653439500088953398556642E-01;
1580 w[26] = 0.11154908721966859054415465858694E-01;
1581 w[27] = 0.12663626772734683766437904485010E-01;
1582 w[28] = 0.15316868409913918465476865568287E-02;
1583 w[29] = 0.15266022971056427587974399198100E-01;
1584 w[30] = 0.90410304859438967096315948145332E-02;
1585 w[31] = 0.81327060196892968093589471350676E-02;
1586 w[32] = 0.48254994785913298058391441904342E-02;
1587 w[33] = 0.22662885264281957658336382036483E-03;
1588 w[34] = 0.58503938090777195674071616162139E-02;
1589 w[35] = 0.68659431853565733752147231623839E-02;
1590 w[36] = 0.23969034602009614667762140991332E-02;
1591 p[0] = Vector2d(0.00000000000000000000000000000000,
1592 0.00000000000000000000000000000000);
1593 p[1] = Vector2d(0.00000000000000000000000000000000,
1594 -0.52938101092158436217989944700065);
1595 p[2] = Vector2d(-0.61514906219173326038112958639798,
1596 -0.39259296230588589577692024633618);
1597 p[3] = Vector2d(0.00000000000000000000000000000000,
1598 -0.29879521023518401246203229051833);
1599 p[4] = Vector2d(-0.60227258275696561313011448174463,
1600 -0.57170178188865743017272606769990);
1601 p[5] = Vector2d(-0.50981188019097632901132686993753,
1602 -0.55459143708784673167882967475209);
1603 p[6] = Vector2d(0.00000000000000000000000000000000,
1604 0.88032014667050929273459147232799);
1605 p[7] = Vector2d(-0.93815432009933315159290706133886,
1606 -0.57328995909056364047175904022464);
1607 p[8] = Vector2d(0.00000000000000000000000000000000,
1608 0.10932773428047454311567544236664E+01);
1609 p[9] = Vector2d(-0.20647073303633426254589462709978,
1610 -0.57395302409498325748592469605497);
1611 p[10] = Vector2d(-0.14400331667261834628330435968823,
1612 -0.31297598217411644944584755018888);
1613 p[11] = Vector2d(-0.48161033312898040755998550507708,
1614 -0.38089192422910876315233159687303);
1615 p[12] = Vector2d(-0.10037070511088677024119003378018,
1616 -0.48291646123243918459436362644262);
1617 p[13] = Vector2d(-0.69003405314433981556933467756463,
1618 -0.47237945269405575937245782085877);
1619 p[14] = Vector2d(-0.45131857503676764396920554079559,
1620 -0.51224429424952928367019627443114);
1621 p[15] = Vector2d(-0.84660740995916577326254742794424,
1622 -0.56975292247630686483425195330683);
1623 p[16] = Vector2d(-0.14911203462776176458914390755779,
1624 -0.54743183795864664399668537119941);
1625 p[17] = Vector2d(-0.55167853197329218224541056875306,
1626 -0.46896195562367563745199360999814);
1627 p[18] = Vector2d(-0.88689641508961216382151190186048,
1628 -0.54546676966840707030987521015721);
1629 p[19] = Vector2d(0.00000000000000000000000000000000,
1630 0.39801431704076458186329655275394);
1631 p[20] = Vector2d(0.00000000000000000000000000000000,
1632 0.55731348796377460751706837305857);
1633 p[21] = Vector2d(0.00000000000000000000000000000000,
1634 0.97770163996668454891174645987393);
1635 p[22] = Vector2d(-0.27328678036217323411592305906149,
1636 -0.50303973149300230512177279576695);
1637 p[23] = Vector2d(-0.33518301010596487973294137974615,
1638 -0.55450610597908806787792991531332);
1639 p[24] = Vector2d(-0.41995122085501584151906684983796,
1640 -0.57527720939459095316883310890960);
1641 p[25] = Vector2d(-0.18328764721779652677839208920087,
1642 -0.19780119278968994222147469745240);
1643 p[26] = Vector2d(-0.36991861294507902457366355095885,
1644 -0.43682917497899069302689014620258);
1645 p[27] = Vector2d(-0.19826213773515198256349732520883,
1646 -0.41232373405740865931876786653227);
1647 p[28] = Vector2d(0.00000000000000000000000000000000,
1648 -0.56955126226549368079464495424716);
1649 p[29] = Vector2d(-0.32037552704774453797884509286080,
1650 -0.32293156387181891591095890622273);
1651 p[30] = Vector2d(0.00000000000000000000000000000000,
1652 -0.17956217803484541051959756627326);
1653 p[31] = Vector2d(0.00000000000000000000000000000000,
1654 0.12415978610574965002707225626963);
1655 p[32] = Vector2d(-0.78037306571931027109013054924730,
1656 -0.52966581912912838443677982459313);
1657 p[33] = Vector2d(0.00000000000000000000000000000000,
1658 0.11370931699099784490463357476566E+01);
1659 p[34] = Vector2d(-0.63930924222334969496336881416464,
1660 -0.53253326710134984412140457620381);
1661 p[35] = Vector2d(0.00000000000000000000000000000000,
1662 -0.40532624526153890211957544149763);
1663 p[36] = Vector2d(-0.73284741377468351220017427799278,
1664 -0.56730901867998811775513569725020);
1665 break;
1666 case 32:
1667 // Order 32 (193 pts)
1668 // 1/6 data for 32-th order quadrature with 39 nodes.
1669 compressedSize = 39;
1670 fullSize = 193;
1671 w.resize(compressedSize);
1672 p.resize(compressedSize);
1673 w[0] = 0.35089101065112855884820534496463E-04;
1674 w[1] = 0.10988190324830709992823329341192E-01;
1675 w[2] = 0.40017234188803658556418944416512E-02;
1676 w[3] = 0.93087707933178618554865620359439E-03;
1677 w[4] = 0.69568246166267704238682724201103E-02;
1678 w[5] = 0.32813277551329795738555421297416E-02;
1679 w[6] = 0.39753082327573825644781696272502E-02;
1680 w[7] = 0.47960047753629003693425154224810E-02;
1681 w[8] = 0.98456677416312611477210982996463E-02;
1682 w[9] = 0.60120289449877842202024432440538E-02;
1683 w[10] = 0.22178527178401095681968551311850E-02;
1684 w[11] = 0.36718564604057522445250408427746E-02;
1685 w[12] = 0.10803923534388294394797611307667E-01;
1686 w[13] = 0.55134227454329365414727793248372E-02;
1687 w[14] = 0.58771612493962009794350932546429E-02;
1688 w[15] = 0.81633895836356217774190986558429E-02;
1689 w[16] = 0.11698483763495028290383571359353E-02;
1690 w[17] = 0.83316003706962053904317473673468E-02;
1691 w[18] = 0.19546717234154615848859112275635E-02;
1692 w[19] = 0.14644039054791717956440739265680E-02;
1693 w[20] = 0.84773151751406951264947448004187E-02;
1694 w[21] = 0.15757826762525756648322149683424E-01;
1695 w[22] = 0.71597492934303095837773594696045E-02;
1696 w[23] = 0.77415633062502329911450279233184E-02;
1697 w[24] = 0.12234738959380913656810149160128E-02;
1698 w[25] = 0.52757528161206686084277006574669E-03;
1699 w[26] = 0.11119171725536887499648558701843E-01;
1700 w[27] = 0.13439031765939374980048747865869E-01;
1701 w[28] = 0.32769705348614632852685205970683E-02;
1702 w[29] = 0.13014005319508587872203236381061E-01;
1703 w[30] = 0.97509412664434843717560320628702E-02;
1704 w[31] = 0.28580896374081882633069151128591E-02;
1705 w[32] = 0.26165845261107117861016768586572E-02;
1706 w[33] = 0.25605447042338306730739080320977E-02;
1707 w[34] = 0.56075763180908099390771878498063E-02;
1708 w[35] = 0.13889507817898641123545037024783E-02;
1709 w[36] = 0.82488872017764297885488574625852E-02;
1710 w[37] = 0.43623899484098009158061336724647E-02;
1711 w[38] = 0.22384872276251377786582863606787E-03;
1712 p[0] = Vector2d(0.00000000000000000000000000000000,
1713 0.11496517991990804340276319918613E+01);
1714 p[1] = Vector2d(-0.42746868613914916208067002398662,
1715 -0.30218292328705052033455030789710);
1716 p[2] = Vector2d(-0.91710704502811275874385926715291E-01,
1717 -0.55177404065234470341871573116633);
1718 p[3] = Vector2d(0.00000000000000000000000000000000,
1719 -0.57267682745711810079098827470171);
1720 p[4] = Vector2d(-0.48363645746700960769905958976308,
1721 -0.48826894371900250566656288607256);
1722 p[5] = Vector2d(-0.74677040622149170601230763257760,
1723 -0.54347180509529604896284843807779);
1724 p[6] = Vector2d(-0.33090034155997483681589019846520,
1725 -0.55549427045965430240427224834972);
1726 p[7] = Vector2d(-0.46023597931812041521733845612288,
1727 -0.54086954371044273649778573751227);
1728 p[8] = Vector2d(-0.55152849427095291026768125922720,
1729 -0.37375893906115265347255148781801);
1730 p[9] = Vector2d(-0.20577133469764029385252414280604,
1731 -0.52660317145013860310284351646008);
1732 p[10] = Vector2d(-0.20092303305428395370178245682808,
1733 -0.57138712716648846304698735307588);
1734 p[11] = Vector2d(0.00000000000000000000000000000000,
1735 -0.51211470939471719438254705852599);
1736 p[12] = Vector2d(-0.25879477956175550900580265426342,
1737 -0.42082435075243723269873387979224);
1738 p[13] = Vector2d(0.00000000000000000000000000000000,
1739 -0.41206328125638506041335006800986);
1740 p[14] = Vector2d(-0.72262398109805332027279578058226,
1741 -0.48953938794088206965231133840212);
1742 p[15] = Vector2d(-0.32997225542915476024532745217312,
1743 -0.49430799576545804368134930045435);
1744 p[16] = Vector2d(-0.40104907184189418029309583833701,
1745 -0.57513903374312331695098163467832);
1746 p[17] = Vector2d(0.00000000000000000000000000000000,
1747 -0.14894052019732994524801638469381);
1748 p[18] = Vector2d(-0.69151287469732085458587108553859,
1749 -0.56996729278416821373273663004497);
1750 p[19] = Vector2d(-0.81882407794345790149465089749751,
1751 -0.57067752268839624045481729672027);
1752 p[20] = Vector2d(0.00000000000000000000000000000000,
1753 0.17429645803883591285042159190117);
1754 p[21] = Vector2d(-0.15979469018140228096803155997403,
1755 -0.22764895370246828181434158209954);
1756 p[22] = Vector2d(0.00000000000000000000000000000000,
1757 -0.27832827065225098989964142553377);
1758 p[23] = Vector2d(-0.59877821961446415276093759190966,
1759 -0.46007242792992039354306838595294);
1760 p[24] = Vector2d(0.00000000000000000000000000000000,
1761 0.10498449848071351612896202347394E+01);
1762 p[25] = Vector2d(0.00000000000000000000000000000000,
1763 0.11103247160622636896577670049089E+01);
1764 p[26] = Vector2d(-0.42015173485047987871656798146767,
1765 -0.41181398695180711307526515295114);
1766 p[27] = Vector2d(-0.28990563943088228305314863137265,
1767 -0.31690029177033716996969306425727);
1768 p[28] = Vector2d(-0.84085334890089953008631910023907,
1769 -0.53517509064720514075419136628404);
1770 p[29] = Vector2d(-0.12723619924623591749401870286216,
1771 -0.35324390902713134915617189643158);
1772 p[30] = Vector2d(-0.12551628141173309089569225449278,
1773 -0.46783716452744596679002275357204);
1774 p[31] = Vector2d(0.00000000000000000000000000000000,
1775 0.00000000000000000000000000000000);
1776 p[32] = Vector2d(0.00000000000000000000000000000000,
1777 0.93988934616034742698090141489668);
1778 p[33] = Vector2d(-0.55077303550427213809118028350091,
1779 -0.56822819321283957200082177635155);
1780 p[34] = Vector2d(-0.61718975394462310684988723266656,
1781 -0.53204175653167234191507273763322);
1782 p[35] = Vector2d(-0.90920085094674871327008780126851,
1783 -0.56772912901378600226993106149821);
1784 p[36] = Vector2d(0.00000000000000000000000000000000,
1785 0.36045825890517508775557027645869);
1786 p[37] = Vector2d(0.00000000000000000000000000000000,
1787 0.80150480143647657259482305879194);
1788 p[38] = Vector2d(-0.97068830122109422411832138489096,
1789 -0.57627103176029262025065680355071);
1790 break;
1791 case 33:
1792 // Order 33 (204 pts)
1793 // 1/6 data for 33-th order quadrature with 41 nodes.
1794 compressedSize = 41;
1795 fullSize = 204;
1796 w.resize(compressedSize);
1797 p.resize(compressedSize);
1798 w[0] = 0.21072740283763039964528368286828E-02;
1799 w[1] = 0.44974723243006456842650776075088E-02;
1800 w[2] = 0.65946145346910002385096276412626E-02;
1801 w[3] = 0.82474035280720032563304370435810E-02;
1802 w[4] = 0.58790090916007076226614232725982E-02;
1803 w[5] = 0.68507656125260760567769180226135E-03;
1804 w[6] = 0.67199953862190751868955790397041E-02;
1805 w[7] = 0.12685962295354290443758741902940E-01;
1806 w[8] = 0.64085284625279664423720130246453E-02;
1807 w[9] = 0.31865284621268815383673784463267E-02;
1808 w[10] = 0.10130277996161918616988936043147E-01;
1809 w[11] = 0.39327511834173456227281919359377E-02;
1810 w[12] = 0.35957285155409189611031640004502E-02;
1811 w[13] = 0.81581506936299909146481456622838E-02;
1812 w[14] = 0.43654139395527354256349689343937E-02;
1813 w[15] = 0.48812258789986847763530046372840E-02;
1814 w[16] = 0.20302369941307448210755634209178E-02;
1815 w[17] = 0.87021082793685719718873832596530E-02;
1816 w[18] = 0.17835148063472755026619148855589E-02;
1817 w[19] = 0.64535378321272648894894135877724E-02;
1818 w[20] = 0.12052160414072912400513700553737E-02;
1819 w[21] = 0.23976450419859318170667605866734E-02;
1820 w[22] = 0.12163656006474426058122295662701E-01;
1821 w[23] = 0.90899196307377903030326256967572E-03;
1822 w[24] = 0.25803358156466235366918919356997E-02;
1823 w[25] = 0.79548382691120458192515870842605E-02;
1824 w[26] = 0.48546328081496349968870545571536E-02;
1825 w[27] = 0.21118713588645547377857629192177E-02;
1826 w[28] = 0.13437007473057861497945927056313E-01;
1827 w[29] = 0.71907262853635647670060927729590E-02;
1828 w[30] = 0.26467590924742060643044789761419E-02;
1829 w[31] = 0.56174443807205437983099746393445E-02;
1830 w[32] = 0.16949406736417696510033206105949E-02;
1831 w[33] = 0.65319228663443823255328913298067E-02;
1832 w[34] = 0.86859349355210683062499905616676E-02;
1833 w[35] = 0.25415771481263707182156665796150E-02;
1834 w[36] = 0.65111877505010114950629655024188E-02;
1835 w[37] = 0.61419843433928965634632131426334E-02;
1836 w[38] = 0.12083509278790420262130603712492E-01;
1837 w[39] = 0.19312249945614427939614114959174E-03;
1838 w[40] = 0.84755399951394965389373925159078E-03;
1839 p[0] = Vector2d(0.00000000000000000000000000000000,
1840 0.85441752281491986952742561507422);
1841 p[1] = Vector2d(0.00000000000000000000000000000000,
1842 -0.26359952191974260301537245052622);
1843 p[2] = Vector2d(-0.39676550645769949223549079823286,
1844 -0.42678545506855360887308799127774);
1845 p[3] = Vector2d(-0.31598316073300286874362023003082,
1846 -0.37973706727153893912099920904950);
1847 p[4] = Vector2d(0.00000000000000000000000000000000,
1848 -0.15588528269354452279063922983879);
1849 p[5] = Vector2d(0.00000000000000000000000000000000,
1850 -0.57381590818073294683247861206343);
1851 p[6] = Vector2d(-0.64019940087608054570302313946691,
1852 -0.41858125784281633932442886389431);
1853 p[7] = Vector2d(-0.13023310833724125410060567348685,
1854 -0.20333227220053604130569869278831);
1855 p[8] = Vector2d(0.00000000000000000000000000000000,
1856 0.25520959894249213064365318384422);
1857 p[9] = Vector2d(-0.77591825174786530058425772428980,
1858 -0.53856910378372629185609575858799);
1859 p[10] = Vector2d(-0.19029241130244378942621074383698,
1860 -0.40545819052596609782356418100840);
1861 p[11] = Vector2d(-0.66275085646437554778774954725515,
1862 -0.54194078514648208041737749935800);
1863 p[12] = Vector2d(0.00000000000000000000000000000000,
1864 -0.50291356104093599630234744015635);
1865 p[13] = Vector2d(-0.13890838462723977815572667811625,
1866 -0.47583110208346099057285412944826);
1867 p[14] = Vector2d(-0.52593106350448959206487843135769,
1868 -0.54370533785038485941253752308528);
1869 p[15] = Vector2d(-0.74112180754338096384725945089585,
1870 -0.48924051171923119683779249416411);
1871 p[16] = Vector2d(-0.49295570914510750117532576951889,
1872 -0.57075764711609390637957695741143);
1873 p[17] = Vector2d(-0.51670323488631757686566331872787,
1874 -0.41461766926988511673184437368405);
1875 p[18] = Vector2d(-0.64505375945992157587556971416084,
1876 -0.57099887763461860406270665329696);
1877 p[19] = Vector2d(-0.61872928859268166187915712963621,
1878 -0.49001038870971575141844877415585);
1879 p[20] = Vector2d(-0.87492200353713827567393201652485,
1880 -0.57022781943877866932429672746875);
1881 p[21] = Vector2d(-0.33145619841996054218301251037654,
1882 -0.56983893491575439638788166530905);
1883 p[22] = Vector2d(-0.97409390068179509856666677924027E-01,
1884 -0.32834341163271889420656088222861);
1885 p[23] = Vector2d(0.00000000000000000000000000000000,
1886 0.10732337258984243455437606728791E+01);
1887 p[24] = Vector2d(-0.86499638747373789749985796834781,
1888 -0.53947756141543200561909733382606);
1889 p[25] = Vector2d(0.00000000000000000000000000000000,
1890 0.94602784584493370468772946259542E-01);
1891 p[26] = Vector2d(0.00000000000000000000000000000000,
1892 0.64724758119173276973587947838225);
1893 p[27] = Vector2d(0.00000000000000000000000000000000,
1894 0.96632545246884377179105403347845);
1895 p[28] = Vector2d(-0.24972283611883747878887622813179,
1896 -0.28583342001808206268947748302965);
1897 p[29] = Vector2d(-0.47779523112848852807050836313123,
1898 -0.49332159111642935520258261160453);
1899 p[30] = Vector2d(-0.16616445416618183551509983345254,
1900 -0.56914512902820977690651047487837);
1901 p[31] = Vector2d(-0.36279240961074976308711123134325,
1902 -0.53901095406565886298444238871685);
1903 p[32] = Vector2d(-0.77375327602359261325494586474574,
1904 -0.56974068564230494042674463877735);
1905 p[33] = Vector2d(0.00000000000000000000000000000000,
1906 0.39886122381719090545979996295666);
1907 p[34] = Vector2d(-0.30711355053101709037576993455102,
1908 -0.48180999095667246889253860020090);
1909 p[35] = Vector2d(0.00000000000000000000000000000000,
1910 -0.54960747258649002726722665090028);
1911 p[36] = Vector2d(-0.18486459332759578217311403693356,
1912 -0.53508842266119758145398714640325);
1913 p[37] = Vector2d(0.00000000000000000000000000000000,
1914 -0.41592300096438369677257895846249);
1915 p[38] = Vector2d(-0.42184939757610775040328718080002,
1916 -0.31644289654629315370197407113192);
1917 p[39] = Vector2d(0.00000000000000000000000000000000,
1918 0.11383269060703847163981510995473E+01);
1919 p[40] = Vector2d(-0.94593887427662142045742644100072,
1920 -0.56955190911504415394155156282000);
1921 break;
1922 case 34:
1923 // Order 34 (214 pts)
1924 // 1/6 data for 34-th order quadrature with 44 nodes.
1925 compressedSize = 44;
1926 fullSize = 214;
1927 w.resize(compressedSize);
1928 p.resize(compressedSize);
1929 w[0] = 0.13382626571418695846413420959349E-03;
1930 w[1] = 0.86077553205023877867589308006139E-03;
1931 w[2] = 0.15128050789281141606424158029908E-02;
1932 w[3] = 0.20001846280203786077172851326386E-02;
1933 w[4] = 0.72363050803554618757272999467355E-03;
1934 w[5] = 0.61455888057448998470789535942896E-02;
1935 w[6] = 0.38852026646137484310391372656345E-02;
1936 w[7] = 0.26304196612070312222228001589138E-02;
1937 w[8] = 0.77253587933225472077027128073975E-02;
1938 w[9] = 0.12977714128349407406048789350468E-01;
1939 w[10] = 0.22719033752163729514493246145023E-02;
1940 w[11] = 0.77393098675853113647899856957649E-02;
1941 w[12] = 0.66279889144916813462020297846060E-02;
1942 w[13] = 0.12710485190182604950478151438930E-01;
1943 w[14] = 0.10017843547790636952167111558575E-01;
1944 w[15] = 0.14563495893338662830933135825511E-01;
1945 w[16] = 0.85595344302267414192383009908361E-02;
1946 w[17] = 0.63601741070384869392179065287274E-02;
1947 w[18] = 0.42668601490321023633055488964966E-02;
1948 w[19] = 0.86775530450313316070466948384888E-02;
1949 w[20] = 0.10904023948277298869126932531947E-01;
1950 w[21] = 0.18417526470910829459939716211994E-02;
1951 w[22] = 0.38386152359715808879730672139045E-02;
1952 w[23] = 0.24540640916463922042739572558992E-02;
1953 w[24] = 0.80218185952419318245374428395049E-02;
1954 w[25] = 0.50585349116444063800445633458038E-02;
1955 w[26] = 0.41366919289449465339947189819144E-02;
1956 w[27] = 0.29365977875069631100768219443565E-02;
1957 w[28] = 0.14934897179533907877154395103507E-03;
1958 w[29] = 0.71158143270123038007615755398533E-02;
1959 w[30] = 0.58377502625954269481520792337924E-02;
1960 w[31] = 0.70064127307723735616871240238792E-02;
1961 w[32] = 0.50071757656760638993478483434402E-03;
1962 w[33] = 0.45908969684050017035075831240866E-02;
1963 w[34] = 0.96316333582374746961054859980204E-03;
1964 w[35] = 0.58308259716404371642003962574066E-02;
1965 w[36] = 0.10858660084749162408673215897113E-01;
1966 w[37] = 0.65536218237774572732745631345446E-03;
1967 w[38] = 0.26542942460412844806471662947295E-02;
1968 w[39] = 0.36926643355893676151865055391569E-02;
1969 w[40] = 0.61856406685725288566265475154246E-02;
1970 w[41] = 0.76023090931745106769467860453136E-03;
1971 w[42] = 0.25829647679686151643244490553125E-02;
1972 w[43] = 0.37816775394238441141631154528165E-03;
1973 p[0] = Vector2d(-0.20865073605333605259133081748132,
1974 -0.54080960852670874887477002688154);
1975 p[1] = Vector2d(-0.89097175315861241014243393897698,
1976 -0.57148188680340885268957968075793);
1977 p[2] = Vector2d(0.00000000000000000000000000000000,
1978 0.99541215623761383488320268143123);
1979 p[3] = Vector2d(-0.87999414063426440899680777462237,
1980 -0.54581251858802002963651717370634);
1981 p[4] = Vector2d(0.00000000000000000000000000000000,
1982 0.10825129994552011239408759106716E+01);
1983 p[5] = Vector2d(-0.68124048521147079022287669759749,
1984 -0.47254254003026177485543685475103);
1985 p[6] = Vector2d(-0.78844430308137329865810016089767,
1986 -0.51513519234555459140932034419392);
1987 p[7] = Vector2d(0.00000000000000000000000000000000,
1988 0.89225266841244135802626470038980);
1989 p[8] = Vector2d(0.00000000000000000000000000000000,
1990 -0.14988699059565575877251167626283);
1991 p[9] = Vector2d(-0.28883149528014893210917834177554,
1992 -0.29318823199080331034093749074232);
1993 p[10] = Vector2d(-0.80036260521166327118670792806244,
1994 -0.55884631397612334218448641893041);
1995 p[11] = Vector2d(0.00000000000000000000000000000000,
1996 0.15927070953202400003601747376533);
1997 p[12] = Vector2d(-0.14656285308642525770840545989704,
1998 -0.52342688512318759090959018821675);
1999 p[13] = Vector2d(-0.14791223778178358225012515887081,
2000 -0.34665387857625309237224070668568);
2001 p[14] = Vector2d(-0.14888251010183166048943112172279,
2002 -0.44866353740446774321091903079561);
2003 p[15] = Vector2d(-0.14412341550112265052276598150328,
2004 -0.22199147096348917763877176210378);
2005 p[16] = Vector2d(-0.56021943491268762662833110324255,
2006 -0.42108532754196956310264613688775);
2007 p[17] = Vector2d(-0.56775489079636195195819292013723,
2008 -0.50128574606027466276226199416617);
2009 p[18] = Vector2d(0.00000000000000000000000000000000,
2010 -0.48871256531163417297535112276726);
2011 p[19] = Vector2d(-0.43438042322624036290148813406327,
2012 -0.45790141180639478630175258882333);
2013 p[20] = Vector2d(-0.42883411933471152581183344420389,
2014 -0.36052903462331485421264904911911);
2015 p[21] = Vector2d(-0.69612085434081448660482017170361,
2016 -0.56926107479496737145288159890053);
2017 p[22] = Vector2d(0.00000000000000000000000000000000,
2018 0.76958700429572619540848652285881);
2019 p[23] = Vector2d(0.00000000000000000000000000000000,
2020 -0.54916967076805156376085658979603);
2021 p[24] = Vector2d(-0.29429125011188233571351981822902,
2022 -0.49260808560575517970684223356176);
2023 p[25] = Vector2d(0.00000000000000000000000000000000,
2024 0.63201013425192545991254006499216);
2025 p[26] = Vector2d(-0.69057074957270704503616084061837,
2026 -0.53464092774804677680478041519000);
2027 p[27] = Vector2d(-0.14635945730951804290474707357531,
2028 -0.56702734467084155713753902149103);
2029 p[28] = Vector2d(0.00000000000000000000000000000000,
2030 0.11402969514608451589323215865362E+01);
2031 p[29] = Vector2d(0.00000000000000000000000000000000,
2032 0.32180957687924744604856694624021);
2033 p[30] = Vector2d(-0.43610043846910337710191570745380,
2034 -0.52795439225981246678322066497151);
2035 p[31] = Vector2d(0.00000000000000000000000000000000,
2036 -0.28467385501300634121071117733737);
2037 p[32] = Vector2d(0.00000000000000000000000000000000,
2038 -0.57576434340793074190688904900431);
2039 p[33] = Vector2d(-0.29361459879318225343484932066898,
2040 -0.55039498029219558132681857598373);
2041 p[34] = Vector2d(-0.29217524245073863070988162069564,
2042 -0.57574687817495954263227255109469);
2043 p[35] = Vector2d(0.00000000000000000000000000000000,
2044 -0.39917165954426298474560583795016);
2045 p[36] = Vector2d(-0.29404250943783623341704803057639,
2046 -0.40538150617520055089614596703473);
2047 p[37] = Vector2d(-0.95251437348711362491282542183012,
2048 -0.57046622308344295569063522362823);
2049 p[38] = Vector2d(0.00000000000000000000000000000000,
2050 0.00000000000000000000000000000000);
2051 p[39] = Vector2d(-0.57112662404759029584585818705102,
2052 -0.55348323362954892556316690015126);
2053 p[40] = Vector2d(0.00000000000000000000000000000000,
2054 0.48132579880630916313439867481111);
2055 p[41] = Vector2d(-0.57210738184377731997454761477038,
2056 -0.57601288500270791096736728894872);
2057 p[42] = Vector2d(-0.43576534554125907389165005866616,
2058 -0.56789016986039254576904292632732);
2059 p[43] = Vector2d(-0.80626144515788714899642746572657,
2060 -0.57734211176549375189279322347485);
2061 break;
2062 case 35:
2063 // Order 35 (228 pts)
2064 // 1/6 data for 35-th order quadrature with 46 nodes.
2065 compressedSize = 46;
2066 fullSize = 228;
2067 w.resize(compressedSize);
2068 p.resize(compressedSize);
2069 w[0] = 0.37823533023071117552498633546329E-02;
2070 w[1] = 0.15110951850926768597510849257431E-02;
2071 w[2] = 0.52612367337077241481150311006990E-02;
2072 w[3] = 0.59776000384333233272193666149629E-03;
2073 w[4] = 0.25949680545647278336391650188551E-02;
2074 w[5] = 0.10300467854022705106865695429020E-02;
2075 w[6] = 0.57842676116151487639100767425388E-02;
2076 w[7] = 0.16644297264251806023973860743196E-02;
2077 w[8] = 0.54751091383596566484521677047910E-02;
2078 w[9] = 0.46816125223955569111350042656706E-02;
2079 w[10] = 0.34712691077662295851692973049338E-02;
2080 w[11] = 0.24253041782253153086402273893358E-02;
2081 w[12] = 0.17490359570497127164220966999176E-02;
2082 w[13] = 0.11875479166746748231460750630995E-01;
2083 w[14] = 0.19531898113644349044152767302173E-02;
2084 w[15] = 0.50044915460995835332657889685798E-02;
2085 w[16] = 0.66667113158108803350566280388053E-03;
2086 w[17] = 0.11325480833009634041680955354389E-01;
2087 w[18] = 0.47516431054402191637098512902079E-02;
2088 w[19] = 0.46372667587850735462627390787042E-02;
2089 w[20] = 0.18136506984725309737491530658395E-02;
2090 w[21] = 0.91471037630436898650123223221922E-03;
2091 w[22] = 0.10699314011695035989362484260043E-01;
2092 w[23] = 0.72247940752599472272602792262149E-02;
2093 w[24] = 0.10839168886619908505604562425067E-01;
2094 w[25] = 0.13587382545922657958478769707436E-02;
2095 w[26] = 0.36583876907265655319114947846825E-02;
2096 w[27] = 0.83330935899037325736589164743249E-02;
2097 w[28] = 0.91410693800006639894202414819246E-02;
2098 w[29] = 0.73251904599782639661305917852163E-02;
2099 w[30] = 0.96568380444916204234246412306618E-02;
2100 w[31] = 0.32925800341072999195193696158169E-02;
2101 w[32] = 0.11464882195010925904138963396459E-01;
2102 w[33] = 0.36017648083679220604863221387225E-02;
2103 w[34] = 0.44214031660381166110271695499832E-02;
2104 w[35] = 0.60288751331023346137831096345316E-02;
2105 w[36] = 0.61877293600659226814496412622813E-02;
2106 w[37] = 0.55090243819186250387827772801666E-02;
2107 w[38] = 0.94428428348687329331168226963113E-02;
2108 w[39] = 0.62282804392723232782667478677435E-03;
2109 w[40] = 0.33358029363864306610289766382805E-02;
2110 w[41] = 0.66727022641263705281781993426708E-02;
2111 w[42] = 0.53354589201841413526093533076666E-02;
2112 w[43] = 0.16509864052584545067812812415452E-02;
2113 w[44] = 0.15814849311712982200162693233010E-03;
2114 w[45] = 0.41297372110944178234379022954739E-03;
2115 p[0] = Vector2d(0.00000000000000000000000000000000,
2116 0.11049848391267878160942425437432);
2117 p[1] = Vector2d(0.00000000000000000000000000000000,
2118 -0.54839524322647351656910274265446);
2119 p[2] = Vector2d(0.00000000000000000000000000000000,
2120 -0.84731241225870783138119631392495E-01);
2121 p[3] = Vector2d(-0.88784082040153075383913617100652,
2122 -0.57376800669530175521786194508562);
2123 p[4] = Vector2d(-0.10034207598327724033582632199321,
2124 -0.56192636681814703241337147158792);
2125 p[5] = Vector2d(-0.69311601738832964374229025488167,
2126 -0.57368528854276496320410931239880);
2127 p[6] = Vector2d(0.00000000000000000000000000000000,
2128 0.24567191532977353520899699695488);
2129 p[7] = Vector2d(-0.20170550651440610611345276285483,
2130 -0.57170157791299617481071719582110);
2131 p[8] = Vector2d(0.00000000000000000000000000000000,
2132 -0.24069657869901295964844222588206);
2133 p[9] = Vector2d(-0.64267456637991915772112509507131,
2134 -0.49911718050236027863216490838426);
2135 p[10] = Vector2d(0.00000000000000000000000000000000,
2136 -0.48412771111544869326449479743582);
2137 p[11] = Vector2d(-0.59680262574112570330708343507959,
2138 -0.56244420234421444672958208328214);
2139 p[12] = Vector2d(-0.88583797294857920950727599039044,
2140 -0.55314597935499411028041061203470);
2141 p[13] = Vector2d(-0.21481054147146732337946003185254,
2142 -0.25264039633717009571608632345015);
2143 p[14] = Vector2d(0.00000000000000000000000000000000,
2144 0.93691922814514350972936873734162);
2145 p[15] = Vector2d(0.00000000000000000000000000000000,
2146 -0.37503784513189034216209663360014);
2147 p[16] = Vector2d(0.00000000000000000000000000000000,
2148 0.10867100617799430553354204728332E+01);
2149 p[17] = Vector2d(-0.97750969393388806071547935914909E-01,
2150 -0.17426334519355714993668083479551);
2151 p[18] = Vector2d(-0.55225246543256484131744271704192,
2152 -0.52711753152174214154822817555781);
2153 p[19] = Vector2d(-0.73330302740947963883782960844096,
2154 -0.48456866722910133562449136216106);
2155 p[20] = Vector2d(-0.35377855031176987704663393999516,
2156 -0.57129468294377403989555329497135);
2157 p[21] = Vector2d(-0.51564990450718314801776121220598,
2158 -0.57531330331362051925464151910002);
2159 p[22] = Vector2d(-0.21973987181432191570664654404377,
2160 -0.37997627488267737489770886024621);
2161 p[23] = Vector2d(-0.60482829086183809094609158655982,
2162 -0.43023229931186750876181610790903);
2163 p[24] = Vector2d(-0.10540651029785986602106161987810,
2164 -0.31309961497003354510619289311518);
2165 p[25] = Vector2d(0.00000000000000000000000000000000,
2166 0.10151427309957352682750877998298E+01);
2167 p[26] = Vector2d(-0.44461399827537925801209489543884,
2168 -0.55376202677277905332098019475239);
2169 p[27] = Vector2d(-0.23876011572551469292227793760715,
2170 -0.47996330941134033797610668708564);
2171 p[28] = Vector2d(-0.10680624500393084714250643212956,
2172 -0.43574907178404019355497831707649);
2173 p[29] = Vector2d(-0.49845820778025588899721360580822,
2174 -0.46711834658382799515239504110706);
2175 p[30] = Vector2d(-0.47118728299279689577235187734666,
2176 -0.37748161580172233726943066542578);
2177 p[31] = Vector2d(0.00000000000000000000000000000000,
2178 0.81339592685777538075733642892247);
2179 p[32] = Vector2d(-0.33861070795850472330848428220997,
2180 -0.32068265475981446715948171913088);
2181 p[33] = Vector2d(-0.70498953851611867618296732663118,
2182 -0.54513781159869833529380365664930);
2183 p[34] = Vector2d(0.00000000000000000000000000000000,
2184 0.67133897977061262700017196648536);
2185 p[35] = Vector2d(0.00000000000000000000000000000000,
2186 0.38727728656145265547624996623580);
2187 p[36] = Vector2d(-0.11540856290209161674967217397369,
2188 -0.52024278749878884072085026914167);
2189 p[37] = Vector2d(0.00000000000000000000000000000000,
2190 0.52856305553369069237166742739323);
2191 p[38] = Vector2d(-0.35516859452256584748215994566211,
2192 -0.42946854793782251649705803709131);
2193 p[39] = Vector2d(-0.95143357699664369331063333170408,
2194 -0.57105763188292920761880945578841);
2195 p[40] = Vector2d(-0.80625540528872521995344375173798,
2196 -0.53228217266152343324657869863566);
2197 p[41] = Vector2d(-0.39094238101462525709590836324919,
2198 -0.50900886837618163733840811909782);
2199 p[42] = Vector2d(-0.26704107522244421375617609033818,
2200 -0.54310638162348937349259853010943);
2201 p[43] = Vector2d(-0.80012284035409657436386927229493,
2202 -0.56864030976986894926046466151582);
2203 p[44] = Vector2d(0.00000000000000000000000000000000,
2204 0.11398838577722204060015136163662E+01);
2205 p[45] = Vector2d(0.00000000000000000000000000000000,
2206 -0.57704966306400061720563422243113);
2207 break;
2208 case 36:
2209 // Order 36 (243 pts)
2210 // 1/6 data for 36-th order quadrature with 46 nodes.
2211 compressedSize = 46;
2212 fullSize = 243;
2213 w.resize(compressedSize);
2214 p.resize(compressedSize);
2215 w[0] = 0.40294016520725152813048610101848E-02;
2216 w[1] = 0.64793903053765145181715901682133E-02;
2217 w[2] = 0.43742626283010051684766029946910E-02;
2218 w[3] = 0.62417922487631623395376249125259E-02;
2219 w[4] = 0.54140669757067043817444691914728E-02;
2220 w[5] = 0.68900982432856468561811786486874E-02;
2221 w[6] = 0.17153699268662009594629984868070E-03;
2222 w[7] = 0.50474692507570505960794202203366E-02;
2223 w[8] = 0.68800457554916895631729667842012E-02;
2224 w[9] = 0.87270677947457016043671196486654E-02;
2225 w[10] = 0.45248570442564970883554024651669E-02;
2226 w[11] = 0.91498024223602954229350467916617E-03;
2227 w[12] = 0.91050902425828265328119448284342E-02;
2228 w[13] = 0.53090410657138158843888963628538E-02;
2229 w[14] = 0.13393775372397616562830163994317E-02;
2230 w[15] = 0.59631198989805405320442107067512E-02;
2231 w[16] = 0.31313092298346458015049957705066E-02;
2232 w[17] = 0.16015029731880952140633711164508E-02;
2233 w[18] = 0.40969742526751036868296166462955E-02;
2234 w[19] = 0.85305987209231664440378714676407E-03;
2235 w[20] = 0.10982854456089695449388211470504E-01;
2236 w[21] = 0.40607862976056182266227222376222E-02;
2237 w[22] = 0.11718063546352663453334801471048E-01;
2238 w[23] = 0.62695317676519732186303155045592E-02;
2239 w[24] = 0.16229081033223297129772742579429E-02;
2240 w[25] = 0.69502345508257539200837869664982E-02;
2241 w[26] = 0.94809421287883652563970965623795E-02;
2242 w[27] = 0.33560498861862835325040698854943E-02;
2243 w[28] = 0.53868503871236664135869203894291E-02;
2244 w[29] = 0.58820503274730197860770659304124E-02;
2245 w[30] = 0.27653642263897575237831549083688E-02;
2246 w[31] = 0.10819301104675578264822260694178E-02;
2247 w[32] = 0.43833382315646555911862314735351E-02;
2248 w[33] = 0.13441518749900172007698067515263E-01;
2249 w[34] = 0.40011563187151066613912579689780E-02;
2250 w[35] = 0.14603290876836360969200891041503E-02;
2251 w[36] = 0.53256416015449335120955671226641E-02;
2252 w[37] = 0.35098393196898440174721922929817E-02;
2253 w[38] = 0.10314228067656089530374958038011E-02;
2254 w[39] = 0.72438530919178505538177420621044E-02;
2255 w[40] = 0.17577599858575697519932889346354E-02;
2256 w[41] = 0.35688958985136608389688752740980E-02;
2257 w[42] = 0.35030971685040415436169439133341E-03;
2258 w[43] = 0.38004098068192230521610341307517E-02;
2259 w[44] = 0.69135644753295898893485091923938E-02;
2260 w[45] = 0.19056197400002277482559131629861E-02;
2261 p[0] = Vector2d(-0.45770306387539169487915756826196,
2262 -0.52141842729563126012047058298966);
2263 p[1] = Vector2d(-0.36361676298891185295386221029935,
2264 -0.41429464277319715623346981701418);
2265 p[2] = Vector2d(-0.74962911892600870983032844542448,
2266 -0.46477792693460978350876606581729);
2267 p[3] = Vector2d(-0.26737758237748029380439006185063,
2268 -0.44967445714422062537104312954445);
2269 p[4] = Vector2d(-0.37317732959222391549799088251508,
2270 -0.49063516603887538827137270218634);
2271 p[5] = Vector2d(-0.14975882871475764975924141602265,
2272 -0.46321446291835242797318542339315);
2273 p[6] = Vector2d(-0.98352138144106149192683092192778,
2274 -0.57521271319697780857478481745947);
2275 p[7] = Vector2d(0.00000000000000000000000000000000,
2276 -0.27374719021510399523990036642840);
2277 p[8] = Vector2d(-0.53788829941643881420320023927424,
2278 -0.39427972611017856706920948711432);
2279 p[9] = Vector2d(-0.25563046668462188936725827478982,
2280 -0.36279824244610613498688160674974);
2281 p[10] = Vector2d(0.00000000000000000000000000000000,
2282 -0.36620767514629492498613572227248);
2283 p[11] = Vector2d(-0.83136119811518354383269937195326,
2284 -0.57248771387722136932451719517558);
2285 p[12] = Vector2d(-0.13003286298009251819823947174789,
2286 -0.38562994925042077844843752485788);
2287 p[13] = Vector2d(0.00000000000000000000000000000000,
2288 0.34045539811756807080574481636674);
2289 p[14] = Vector2d(-0.60110699315720762998855042089700,
2290 -0.57257600517555581330832753808181);
2291 p[15] = Vector2d(-0.63205241025983805117322394914783,
2292 -0.45255306558366174094217160197888);
2293 p[16] = Vector2d(-0.52716585532238106513416234938719,
2294 -0.55235918086652448153563150959453);
2295 p[17] = Vector2d(-0.28230973261381914542579826867683,
2296 -0.57260000432656212732742831820917);
2297 p[18] = Vector2d(-0.71047632569890861227787925936018,
2298 -0.50975814717158154135559916631247);
2299 p[19] = Vector2d(-0.95056420733325419196436293042879,
2300 -0.56440377229715042680745590073970);
2301 p[20] = Vector2d(-0.28616499791046129448997529539718,
2302 -0.27325102827656031685861861579114);
2303 p[21] = Vector2d(0.00000000000000000000000000000000,
2304 0.63223872333035094330098051711355);
2305 p[22] = Vector2d(-0.13633349630546001365985579457732,
2306 -0.28077682324477788489838234773238);
2307 p[23] = Vector2d(-0.80918371229769335783766611724880E-01,
2308 -0.51793028571538908930758218474956);
2309 p[24] = Vector2d(-0.44770259704283524854791791199685,
2310 -0.57210278655469173709707059163532);
2311 p[25] = Vector2d(-0.48011047223406774553422252507270,
2312 -0.45179917425831580211503767552840);
2313 p[26] = Vector2d(-0.41323708163607651211902687274295,
2314 -0.34557238584596557842323790994865);
2315 p[27] = Vector2d(-0.65560184610300882914185718548851,
2316 -0.54673762175281423328617405554397);
2317 p[28] = Vector2d(-0.57620923725166014923400127915066,
2318 -0.50424349278017526914470934564358);
2319 p[29] = Vector2d(-0.24925193834014909515080159065743,
2320 -0.51773945365247080611701750038930);
2321 p[30] = Vector2d(-0.78377703132887513374849375170181,
2322 -0.54712080331353357214461326692730);
2323 p[31] = Vector2d(-0.98306369371972070224522934512975E-01,
2324 -0.57522359685526201507706056294147);
2325 p[32] = Vector2d(0.00000000000000000000000000000000,
2326 -0.45359100459111562262893708000554);
2327 p[33] = Vector2d(-0.15401622396033279817412492899376,
2328 -0.16813042003647684568253959866018);
2329 p[34] = Vector2d(-0.35730985892987794548052370157585,
2330 -0.55046376829560201599703664333391);
2331 p[35] = Vector2d(-0.72653937769578913812744606839955,
2332 -0.57068525840467165716710741013583);
2333 p[36] = Vector2d(0.00000000000000000000000000000000,
2334 0.49249815594813255797249024870368);
2335 p[37] = Vector2d(-0.83027114581134724322172615184608,
2336 -0.51140681795255970991370425926398);
2337 p[38] = Vector2d(0.00000000000000000000000000000000,
2338 0.10530289859103386181163034523952E+01);
2339 p[39] = Vector2d(0.00000000000000000000000000000000,
2340 0.87254187575228190842967598185962E-01);
2341 p[40] = Vector2d(-0.88144405800714427701736717808599,
2342 -0.55627077065397527838016283877844);
2343 p[41] = Vector2d(0.00000000000000000000000000000000,
2344 0.76956773175760798113534871535368);
2345 p[42] = Vector2d(-0.91784551568339890614029102074855,
2346 -0.57586320130293542669591032679490);
2347 p[43] = Vector2d(-0.17476902776510310686941360192574,
2348 -0.55598397134820992601771756543425);
2349 p[44] = Vector2d(0.00000000000000000000000000000000,
2350 -0.16513031625331098943557133545280);
2351 p[45] = Vector2d(0.00000000000000000000000000000000,
2352 -0.55823188110938432057255915241886);
2353 break;
2354 case 37:
2355 // Order 37 (252 pts)
2356 // 1/6 data for 37-th order quadrature with 49 nodes
2357 compressedSize = 49;
2358 fullSize = 252;
2359 w.resize(compressedSize);
2360 p.resize(compressedSize);
2361 w[0] = 0.99626129730910408577949008400168E-03;
2362 w[1] = 0.27626921675168826283774018443100E-02;
2363 w[2] = 0.72692273468131503092373352604759E-03;
2364 w[3] = 0.25303170257571451860803668676728E-02;
2365 w[4] = 0.63229856016814473011800273541530E-03;
2366 w[5] = 0.39910569052688676630224931092243E-02;
2367 w[6] = 0.96322224231485228364344323861314E-02;
2368 w[7] = 0.70914264027495165913238721401754E-02;
2369 w[8] = 0.49912714680319196696789614840510E-02;
2370 w[9] = 0.60134263305403734057625688074224E-02;
2371 w[10] = 0.75284170176253568400370133216087E-02;
2372 w[11] = 0.88334951566927715848362109377594E-02;
2373 w[12] = 0.30494454960037220959042145422116E-02;
2374 w[13] = 0.40623159427664301328639018693128E-03;
2375 w[14] = 0.15854780081932780104600463914237E-02;
2376 w[15] = 0.10744094290784490004353067282619E-01;
2377 w[16] = 0.34547338677747299508167133011287E-02;
2378 w[17] = 0.38698068479336796185125547322801E-02;
2379 w[18] = 0.57440366524074741575884680707207E-02;
2380 w[19] = 0.72357295271785506116849988932337E-03;
2381 w[20] = 0.56884381303256696164588543099345E-02;
2382 w[21] = 0.69047009212170979910711955177161E-02;
2383 w[22] = 0.42884132950362761878776351004925E-02;
2384 w[23] = 0.62924591180266519167258563983064E-02;
2385 w[24] = 0.21172628941575284289686456117100E-02;
2386 w[25] = 0.57748488832703718923029245549870E-03;
2387 w[26] = 0.39252782695269835705405080071355E-02;
2388 w[27] = 0.80200877092618206400095291824248E-02;
2389 w[28] = 0.93274649768244852461773810704269E-02;
2390 w[29] = 0.23598744244779275367141637367377E-02;
2391 w[30] = 0.41453075810464728064443485645257E-02;
2392 w[31] = 0.32896867854980720978623838536080E-02;
2393 w[32] = 0.59742143446146166209795010947358E-02;
2394 w[33] = 0.82279235776610154350252369267537E-02;
2395 w[34] = 0.93156858510830936728471952983330E-03;
2396 w[35] = 0.67163446268129400718735416067323E-02;
2397 w[36] = 0.12493560653618925032728437197660E-02;
2398 w[37] = 0.53054261077983319226673244613556E-02;
2399 w[38] = 0.10755243143420365190907771759900E-01;
2400 w[39] = 0.11403474399353258205391049010235E-03;
2401 w[40] = 0.11790258338603034214469882053681E-01;
2402 w[41] = 0.32403041710010828670599208753256E-02;
2403 w[42] = 0.18705266785451222748868057200548E-02;
2404 w[43] = 0.17176825471147128641632325800221E-02;
2405 w[44] = 0.19029239546031546635251984688755E-02;
2406 w[45] = 0.38621442944772685484213090942755E-02;
2407 w[46] = 0.15746286043986147827363630712349E-02;
2408 w[47] = 0.64138925190696845281721401600690E-02;
2409 w[48] = 0.54555303295239163064914865711407E-02;
2410 p[0] = Vector2d(0.00000000000000000000000000000000,
2411 0.80030932175661049330529129464111);
2412 p[1] = Vector2d(-0.33412271632399888890129019512936,
2413 -0.51875656535329760898448830295380);
2414 p[2] = Vector2d(0.00000000000000000000000000000000,
2415 0.10333868827205359544088392857986E+01);
2416 p[3] = Vector2d(-0.75613518652324771803726882164662,
2417 -0.51993973121116010442502084667746);
2418 p[4] = Vector2d(-0.84800448035565502181663502981330,
2419 -0.57382818530981477957536290227481);
2420 p[5] = Vector2d(-0.70551641007683071137220723820188,
2421 -0.48120343056361501578369820373486);
2422 p[6] = Vector2d(-0.12346882279099691408072860937378,
2423 -0.16501678669005198586553208123293);
2424 p[7] = Vector2d(-0.14115293561514993591833853717433,
2425 -0.44697785411625922396526760726341);
2426 p[8] = Vector2d(0.00000000000000000000000000000000,
2427 0.25665474437476898507539344982761);
2428 p[9] = Vector2d(-0.31129235394249030634514266109515,
2429 -0.48447626446390567150790800247712);
2430 p[10] = Vector2d(-0.25517618371949366971568295794296,
2431 -0.41922309411584432631191867018353);
2432 p[11] = Vector2d(-0.22738491727535507077740696347565,
2433 -0.34332292689716552850094371729457);
2434 p[12] = Vector2d(-0.82431411808054765778463063897013,
2435 -0.50673434341218750366276527969451);
2436 p[13] = Vector2d(-0.96025084028127376878602592691577,
2437 -0.57217095597866797982914123136412);
2438 p[14] = Vector2d(-0.88743516782176053029087010855756,
2439 -0.54747072920426972017807350995914);
2440 p[15] = Vector2d(-0.14743801672844793582653341492985,
2441 -0.26364744637852948251388994918932);
2442 p[16] = Vector2d(0.00000000000000000000000000000000,
2443 0.67166192797723746626700329929959);
2444 p[17] = Vector2d(0.00000000000000000000000000000000,
2445 -0.44283386491499269166138431840481);
2446 p[18] = Vector2d(-0.63852651231947468903625801359977,
2447 -0.42124005904839257204244609933248);
2448 p[19] = Vector2d(-0.91244418004082918428945065210440,
2449 -0.57039245293560439673032555344414);
2450 p[20] = Vector2d(0.00000000000000000000000000000000,
2451 -0.15872646837427968615407557344963);
2452 p[21] = Vector2d(-0.53650720489459350535466965366810,
2453 -0.43711422090147355697061182546047);
2454 p[22] = Vector2d(-0.85277881576583532724521330388158E-01,
2455 -0.54811072534421336521000509462082);
2456 p[23] = Vector2d(-0.16435656319638607339573924940553,
2457 -0.50551055464016532277335287814759);
2458 p[24] = Vector2d(-0.81381272571201343203517786852045,
2459 -0.55356126813574196138633993389223);
2460 p[25] = Vector2d(0.00000000000000000000000000000000,
2461 0.10946289447927698298356343395322E+01);
2462 p[26] = Vector2d(-0.41910547578514426267307171420310,
2463 -0.54631433608883669102312593267134);
2464 p[27] = Vector2d(-0.48677494045468852012238429335006,
2465 -0.35483129429226142896168273650094);
2466 p[28] = Vector2d(-0.35909034523353810535799934366341,
2467 -0.33950304358022085403206973553427);
2468 p[29] = Vector2d(0.00000000000000000000000000000000,
2469 0.88453895937762153767287377553499);
2470 p[30] = Vector2d(-0.25248858363296016573959873583852,
2471 -0.54714013952455212484601864326434);
2472 p[31] = Vector2d(0.00000000000000000000000000000000,
2473 -0.50545261693006535308892323009918);
2474 p[32] = Vector2d(0.00000000000000000000000000000000,
2475 -0.27272204187887408822459840414627);
2476 p[33] = Vector2d(-0.39948855862139271795827453837350,
2477 -0.42805065874848260516272058041530);
2478 p[34] = Vector2d(0.00000000000000000000000000000000,
2479 -0.57184433744987283372049694766113);
2480 p[35] = Vector2d(0.00000000000000000000000000000000,
2481 0.83856840257338103751495755746255E-01);
2482 p[36] = Vector2d(-0.74822550833094322230914938071543,
2483 -0.57144178004035639723831793597820);
2484 p[37] = Vector2d(-0.61214302766947216204021932607674,
2485 -0.50017785048732220313797140417802);
2486 p[38] = Vector2d(-0.82456232718866158786784556422156E-01,
2487 -0.36587111104193859470979519681048);
2488 p[39] = Vector2d(0.00000000000000000000000000000000,
2489 0.11419818578211332577350031418259E+01);
2490 p[40] = Vector2d(-0.28849633742385887838307907599387,
2491 -0.23836996263996572403671622331600);
2492 p[41] = Vector2d(-0.69338845905777882473767890474803,
2493 -0.54563400792324411093065715450446);
2494 p[42] = Vector2d(-0.17221861996121408821061372532618,
2495 -0.57169987252525305855247428576888);
2496 p[43] = Vector2d(-0.49166762890981157665024971850791,
2497 -0.57133062792022124429581677109025);
2498 p[44] = Vector2d(-0.33772735494586915349190113708600,
2499 -0.57122090496927329315283644781684);
2500 p[45] = Vector2d(-0.56199209754321689406198698034801,
2501 -0.54470987727952378493452147796822);
2502 p[46] = Vector2d(-0.62908155899883917171575081362878,
2503 -0.57104889149424033456087085228856);
2504 p[47] = Vector2d(-0.47085424810000757697255495637523,
2505 -0.49810325155934541668515841885833);
2506 p[48] = Vector2d(0.00000000000000000000000000000000,
2507 0.49872349530628412097743604970645);
2508 break;
2509 case 38:
2510 // Order 38 (267 pts)
2511 // 1/6 data for 38-th order quadrature with 51 nodes.
2512 compressedSize = 51;
2513 fullSize = 267;
2514 w.resize(compressedSize);
2515 p.resize(compressedSize);
2516 w[0] = 0.20820056888817244409479850097856E-02;
2517 w[1] = 0.32704508067578457571759580719843E-02;
2518 w[2] = 0.38571880274891361301769303800511E-02;
2519 w[3] = 0.48648533235668256195606333219063E-02;
2520 w[4] = 0.25862281661138416465531703526730E-02;
2521 w[5] = 0.45760472370487254239987376847120E-03;
2522 w[6] = 0.27293096561559624215019181897416E-02;
2523 w[7] = 0.97008356269688197848677107128175E-02;
2524 w[8] = 0.41132552385450103084160052046070E-02;
2525 w[9] = 0.11925949669960168440297068927338E-02;
2526 w[10] = 0.46027699181420719864281441155474E-03;
2527 w[11] = 0.65746158861474390224655188929927E-02;
2528 w[12] = 0.34233865355919380271157248680394E-02;
2529 w[13] = 0.12182478611229097763044222506603E-02;
2530 w[14] = 0.10899944052496863003448798018155E-01;
2531 w[15] = 0.20225984312508308593119096478526E-02;
2532 w[16] = 0.68735133627418967754698853779575E-02;
2533 w[17] = 0.81627294555617067479425317996855E-04;
2534 w[18] = 0.62097541317418902117276820215705E-02;
2535 w[19] = 0.16492922508404918879311251694587E-02;
2536 w[20] = 0.47406525818327189115185327580062E-02;
2537 w[21] = 0.31194776872854070583692733919320E-02;
2538 w[22] = 0.47516718437350612556088524941901E-02;
2539 w[23] = 0.86077222408115445210495576178103E-02;
2540 w[24] = 0.53685573833170132885235134226360E-02;
2541 w[25] = 0.30607129436300396172490108601521E-02;
2542 w[26] = 0.13236335711461000683695750999937E-02;
2543 w[27] = 0.15044854999557370818299509578742E-02;
2544 w[28] = 0.15641030619522655360987944091216E-02;
2545 w[29] = 0.38234831557293443707212103289394E-02;
2546 w[30] = 0.11236312245926095551123994880102E-02;
2547 w[31] = 0.59128635891188981067020381172796E-02;
2548 w[32] = 0.83264254588952817413009549759947E-02;
2549 w[33] = 0.52233031594939664397142395297434E-02;
2550 w[34] = 0.35872048025524414964720174624147E-02;
2551 w[35] = 0.50988347474248667740715631552740E-02;
2552 w[36] = 0.19977329387543947701265023377701E-02;
2553 w[37] = 0.59507492016878607729260830919901E-02;
2554 w[38] = 0.16966487646916691851186225113499E-02;
2555 w[39] = 0.10748164815034162115762746127887E-02;
2556 w[40] = 0.91437918154557240969683908824785E-02;
2557 w[41] = 0.93423065980415739850720220419123E-02;
2558 w[42] = 0.10123136480463870914740930355634E-01;
2559 w[43] = 0.38498047327371845578787166272780E-02;
2560 w[44] = 0.65645729720023034651464119787433E-02;
2561 w[45] = 0.79710615214023377342492350020114E-02;
2562 w[46] = 0.43918131172356037933829206838480E-03;
2563 w[47] = 0.59611163393367252996223811895425E-02;
2564 w[48] = 0.11058361133847283290469370750187E-01;
2565 w[49] = 0.23833729931365671861610978427443E-02;
2566 w[50] = 0.38466956567350313890347038963597E-03;
2567 p[0] = Vector2d(0.00000000000000000000000000000000,
2568 -0.43557198951312314492372904354947);
2569 p[1] = Vector2d(-0.38017185669450718257184066048831,
2570 -0.48676901082212536688741381364887);
2571 p[2] = Vector2d(0.00000000000000000000000000000000,
2572 -0.20761979727194592905202199533091);
2573 p[3] = Vector2d(-0.64388710735877083783416282124044,
2574 -0.40573908618816893429385257585425);
2575 p[4] = Vector2d(0.00000000000000000000000000000000,
2576 -0.46713152507187031292455455867277);
2577 p[5] = Vector2d(-0.91532058656497198671471150555246,
2578 -0.57377461458362246990957759635438);
2579 p[6] = Vector2d(-0.78472586424382273509683032899814,
2580 -0.51373173879402534769265540295112);
2581 p[7] = Vector2d(-0.99643590876239824517695137609747E-01,
2582 -0.18600062141874083923383175875705);
2583 p[8] = Vector2d(-0.41959606976158875740459488513640,
2584 -0.52071016051529641903708216132188);
2585 p[9] = Vector2d(-0.90709796569683108888235443082745,
2586 -0.55471321549486532778867447040816);
2587 p[10] = Vector2d(0.00000000000000000000000000000000,
2588 0.10940631576403911595307511796686E+01);
2589 p[11] = Vector2d(-0.31006871991021548748342323634250,
2590 -0.44966761533984648209489215134754);
2591 p[12] = Vector2d(0.00000000000000000000000000000000,
2592 0.65074263823985079600667000386443);
2593 p[13] = Vector2d(-0.55804669150858522261961383013874,
2594 -0.57266700781635460274026638478223);
2595 p[14] = Vector2d(-0.23391252232540839712384994231650,
2596 -0.19775702200253896797934274544035);
2597 p[15] = Vector2d(-0.84191118240738060068532375730213,
2598 -0.54145730613515149557950920114789);
2599 p[16] = Vector2d(-0.53335107942756502512226568928935,
2600 -0.40306833625953531748818108675870);
2601 p[17] = Vector2d(0.00000000000000000000000000000000,
2602 0.11441448170815456331207001620839E+01);
2603 p[18] = Vector2d(-0.47291121570664026204475560732776,
2604 -0.45699037409328199099206927354961);
2605 p[19] = Vector2d(0.00000000000000000000000000000000,
2606 0.95123251126820600706088723471076);
2607 p[20] = Vector2d(-0.72785722160360793350295551572105,
2608 -0.45891721551063656195753394995739);
2609 p[21] = Vector2d(-0.49855221184504938895139013840901,
2610 -0.55254653716155075726305443495177);
2611 p[22] = Vector2d(-0.54925671022190333222562093502386,
2612 -0.50985596144990674077481289770119);
2613 p[23] = Vector2d(-0.44686452030684963518394665288121,
2614 -0.31858800667671763885666636445179);
2615 p[24] = Vector2d(-0.61953974615995630087673220975416,
2616 -0.46956784465504062728813836459427);
2617 p[25] = Vector2d(-0.62648548681833042070303279649082,
2618 -0.54683284777191952223714461151061);
2619 p[26] = Vector2d(-0.67197877643540341416126929672985,
2620 -0.57051260429903260207066265388305);
2621 p[27] = Vector2d(-0.41335885239677796031890142990207,
2622 -0.57227331670065037577673308824224);
2623 p[28] = Vector2d(-0.25346463551838318570541525347334,
2624 -0.57253866498558213253629629823534);
2625 p[29] = Vector2d(-0.69573906885921915728856348088559,
2626 -0.51790249949511235759270582432134);
2627 p[30] = Vector2d(0.00000000000000000000000000000000,
2628 0.10252000964578561221300395045227E+01);
2629 p[31] = Vector2d(0.00000000000000000000000000000000,
2630 0.16568297477093707545432698117652);
2631 p[32] = Vector2d(-0.38636910084523127223009550231297,
2632 -0.38903470904529446210903397210864);
2633 p[33] = Vector2d(0.00000000000000000000000000000000,
2634 -0.30137742399876299186434574375181);
2635 p[34] = Vector2d(-0.33658056387534557504382625690100,
2636 -0.55145765476506148518201936114546);
2637 p[35] = Vector2d(0.00000000000000000000000000000000,
2638 0.43524327738107859551153511292157);
2639 p[36] = Vector2d(0.00000000000000000000000000000000,
2640 -0.55031736573002371942681152441060);
2641 p[37] = Vector2d(-0.87843541547485157244218200006356E-01,
2642 -0.51270307120416046582718931909697);
2643 p[38] = Vector2d(-0.85039120745944430746903967678568E-01,
2644 -0.57221773164738784945037090035811);
2645 p[39] = Vector2d(-0.84482245043808986751701243019350,
2646 -0.57007049747206373797913896032469);
2647 p[40] = Vector2d(-0.23361755931365234413765013776635,
2648 -0.37942157065303255897465810627733);
2649 p[41] = Vector2d(-0.84712737676102112301556527859528E-01,
2650 -0.38182236985847584746876547919066);
2651 p[42] = Vector2d(-0.30228200141771618391567732367974,
2652 -0.29988148386350240360102081846111);
2653 p[43] = Vector2d(-0.17281546621195622411401122869585,
2654 -0.55110081638940231919507254561012);
2655 p[44] = Vector2d(0.00000000000000000000000000000000,
2656 -0.80478911639902275408961840267122E-01);
2657 p[45] = Vector2d(-0.16293712483088177437982114203995,
2658 -0.45603365215790654433852111390607);
2659 p[46] = Vector2d(-0.96366288222453288706533712520860,
2660 -0.57138683817501246632052994868585);
2661 p[47] = Vector2d(-0.25373681319593324282811397911950,
2662 -0.51210804711263968662217366453516);
2663 p[48] = Vector2d(-0.15001122172665224948595080689653,
2664 -0.28983256020905742573818686292564);
2665 p[49] = Vector2d(-0.75738968673027804907685927008861,
2666 -0.55650931396143459003034201519312);
2667 p[50] = Vector2d(-0.76664557469367476317397564232357,
2668 -0.57683373408531432268827479475092);
2669 break;
2670 case 39:
2671 // Order 39 (282 pts)
2672 // 1/6 data for 39-th order quadrature with 54 nodes.
2673 compressedSize = 54;
2674 fullSize = 282;
2675 w.resize(compressedSize);
2676 p.resize(compressedSize);
2677 w[0] = 0.10297002991753660501136103351341E-02;
2678 w[1] = 0.71409200454957424138919555702907E-02;
2679 w[2] = 0.84670476850581833366989493797193E-02;
2680 w[3] = 0.10061525828127805509276236358357E-02;
2681 w[4] = 0.25008518613742033230286581854602E-02;
2682 w[5] = 0.82379503874691016163177015741387E-02;
2683 w[6] = 0.31645234824978289216154005178556E-02;
2684 w[7] = 0.28454670499457543125480683962546E-02;
2685 w[8] = 0.90921496761479735112870080703174E-03;
2686 w[9] = 0.53162773859582871544697296720480E-02;
2687 w[10] = 0.55174868571100333634113037140252E-03;
2688 w[11] = 0.57658467066484687646578171852548E-02;
2689 w[12] = 0.64457871132908107545457606397354E-02;
2690 w[13] = 0.24406168935034987856598180879293E-02;
2691 w[14] = 0.58315103312031023476998033502050E-02;
2692 w[15] = 0.61853878639532303634906561313174E-02;
2693 w[16] = 0.74949719610539269221700456157038E-02;
2694 w[17] = 0.49000462324377305053951530096155E-02;
2695 w[18] = 0.29889444058930598950088528689227E-02;
2696 w[19] = 0.43996809067738625074189199968923E-03;
2697 w[20] = 0.12505146482203086295392343808630E-02;
2698 w[21] = 0.97825105755546869735655412908223E-02;
2699 w[22] = 0.81418004583935088155390428216798E-02;
2700 w[23] = 0.50503317417279426125202432815639E-02;
2701 w[24] = 0.24951091420867912577241746709087E-02;
2702 w[25] = 0.30478657588270378768815691124488E-02;
2703 w[26] = 0.64260046142092336339976252566979E-03;
2704 w[27] = 0.38189427195873096307259859473584E-02;
2705 w[28] = 0.50663628845451396008230346642253E-02;
2706 w[29] = 0.51764441731398308561678437452717E-02;
2707 w[30] = 0.49181464598226297253857270629541E-02;
2708 w[31] = 0.46465662734804209629119572618546E-02;
2709 w[32] = 0.44591898920056385785598751636219E-02;
2710 w[33] = 0.64136254490796000834798012697594E-02;
2711 w[34] = 0.79881644631115754408349534866859E-02;
2712 w[35] = 0.10476275740484627938272086913711E-02;
2713 w[36] = 0.14500024170436655618156678953819E-02;
2714 w[37] = 0.96194255594278304779191550064611E-02;
2715 w[38] = 0.15445701615508816200489059359044E-02;
2716 w[39] = 0.46888846948789891123342520895612E-02;
2717 w[40] = 0.37215235791213064892823990494283E-02;
2718 w[41] = 0.37005626494781645355545034117062E-02;
2719 w[42] = 0.57612742538281776709493292272587E-02;
2720 w[43] = 0.76066250692246841971988592588158E-02;
2721 w[44] = 0.43715876705429943949816550672880E-02;
2722 w[45] = 0.42564655054254956754287557583451E-03;
2723 w[46] = 0.20530208586099517375295895636913E-02;
2724 w[47] = 0.57438263789397392552513701846135E-02;
2725 w[48] = 0.11429571862723729149581721669044E-02;
2726 w[49] = 0.36214122455131093638488339463188E-02;
2727 w[50] = 0.26987232674585178812827363148936E-02;
2728 w[51] = 0.24397941805574716783727001505373E-02;
2729 w[52] = 0.10319996026161764514307891440984E-02;
2730 w[53] = 0.11509579298275706789740693353329E-03;
2731 p[0] = Vector2d(-0.51907510039262467181240723005295,
2732 -0.56977344334973953415009221378062);
2733 p[1] = Vector2d(-0.27085312542591789026981871557739,
2734 -0.11615238463710973900986144045138);
2735 p[2] = Vector2d(-0.62535084249163554801261088188681E-01,
2736 -0.16841403059063582703799040319519);
2737 p[3] = Vector2d(-0.44171982481354024257677278787610,
2738 -0.57273896147926731246264811881990);
2739 p[4] = Vector2d(0.00000000000000000000000000000000,
2740 -0.48177391174488216182747312872034);
2741 p[5] = Vector2d(-0.15015342269982087499746548552200,
2742 -0.21805432181592896862251556772349);
2743 p[6] = Vector2d(0.00000000000000000000000000000000,
2744 -0.43015355484213642389086647596671);
2745 p[7] = Vector2d(-0.73242413817247197416912819947887E-01,
2746 -0.55672301202474317753018700126839);
2747 p[8] = Vector2d(-0.61576635195673085768179561363787,
2748 -0.57361430082863865627675251023354);
2749 p[9] = Vector2d(0.00000000000000000000000000000000,
2750 -0.71062437062144605538166336071450E-01);
2751 p[10] = Vector2d(0.00000000000000000000000000000000,
2752 -0.57425388147699645590520477695232);
2753 p[11] = Vector2d(-0.48003862478268162304965734842567,
2754 -0.39157484051927385758800981076725);
2755 p[12] = Vector2d(-0.36508484113357361074797983209786,
2756 -0.38260125928736646468021583934304);
2757 p[13] = Vector2d(0.00000000000000000000000000000000,
2758 0.76210815817498206981551181976317);
2759 p[14] = Vector2d(-0.56713187575703966770973366858629,
2760 -0.37974002964326184444303529558949);
2761 p[15] = Vector2d(-0.14031613163580384457468777152879,
2762 -0.47005865572418340661540287763308);
2763 p[16] = Vector2d(-0.25349195822799364362686756031925,
2764 -0.36610435880584296669017948490237);
2765 p[17] = Vector2d(-0.23248267893550702450813771192708,
2766 -0.51041551846753395228797796020113);
2767 p[18] = Vector2d(-0.52163635975054715145448041789043,
2768 -0.54750015447026086336476242420687);
2769 p[19] = Vector2d(0.00000000000000000000000000000000,
2770 0.11000415018640989305561291676418E+01);
2771 p[20] = Vector2d(-0.90690106293315290819021535664027,
2772 -0.55212750394609514626346834644682);
2773 p[21] = Vector2d(-0.12932342290720507011192674546810,
2774 -0.31033539412300214897853090795097);
2775 p[22] = Vector2d(-0.13784410422442617726158008200667,
2776 -0.40217042416953081560570497781101);
2777 p[23] = Vector2d(-0.66294103217865996758685557932486,
2778 -0.45041551128090115382074323796237);
2779 p[24] = Vector2d(-0.64122202646501331223433885902278,
2780 -0.55393733579619755005613977870791);
2781 p[25] = Vector2d(-0.81530008183876068918941172976357,
2782 -0.50261462137952603540673793837763);
2783 p[26] = Vector2d(-0.90238671492070698682084691210471,
2784 -0.57241680160442647300899412288108);
2785 p[27] = Vector2d(0.00000000000000000000000000000000,
2786 0.58655605653182625196365551350355);
2787 p[28] = Vector2d(0.00000000000000000000000000000000,
2788 -0.26028645488038103161700300407634);
2789 p[29] = Vector2d(-0.36521604921152885859291119415780,
2790 -0.50737982602401753884163334078742);
2791 p[30] = Vector2d(-0.81466971749275774599927221958440E-01,
2792 -0.52365228029452559568466482181594);
2793 p[31] = Vector2d(-0.50100475560027347803268966859046,
2794 -0.50930584971577307589941102218584);
2795 p[32] = Vector2d(0.00000000000000000000000000000000,
2796 -0.35752411415512963812671499048932);
2797 p[33] = Vector2d(-0.42538501367251799249997046103522,
2798 -0.45339755648003318420528024155758);
2799 p[34] = Vector2d(-0.40434782435372039643598964415201,
2800 -0.30993099181146801236771669846609);
2801 p[35] = Vector2d(0.00000000000000000000000000000000,
2802 0.10264156710616244871686286975762E+01);
2803 p[36] = Vector2d(-0.16442016253358942481700772352343,
2804 -0.57254647239454006820290004274071);
2805 p[37] = Vector2d(-0.27207964379670182797824599426077,
2806 -0.27970449294975765316042730395238);
2807 p[38] = Vector2d(-0.31259592531293370325932513075940,
2808 -0.57171692937562625460547538450204);
2809 p[39] = Vector2d(0.00000000000000000000000000000000,
2810 0.42124024273454953036405961333276);
2811 p[40] = Vector2d(-0.23061575503872384396183209443032,
2812 -0.54949681464841745643044481184475);
2813 p[41] = Vector2d(-0.73174496781264133588838797582992,
2814 -0.50173031881501531356011446242568);
2815 p[42] = Vector2d(-0.55942199595539976634905924759128,
2816 -0.45905866008218877559480919998558);
2817 p[43] = Vector2d(-0.28187070033874590044167993901641,
2818 -0.44792709733285852771474443606843);
2819 p[44] = Vector2d(-0.63181925527793262592959928916708,
2820 -0.51472732382392613411706398642860);
2821 p[45] = Vector2d(-0.95845151882990183009015464856753,
2822 -0.57244321215608923333186877139555);
2823 p[46] = Vector2d(-0.83806929801903041855622721765482,
2824 -0.54626015892447713295423347103218);
2825 p[47] = Vector2d(0.00000000000000000000000000000000,
2826 0.16065133195264123594739464348022);
2827 p[48] = Vector2d(-0.73014202636963239486058389001507,
2828 -0.57182062792860608241992084882251);
2829 p[49] = Vector2d(-0.38481648423499752372487549629974,
2830 -0.54913090515973984664975730120048);
2831 p[50] = Vector2d(-0.74786883044034466526785200148550,
2832 -0.54631988756965195283384974383402);
2833 p[51] = Vector2d(0.00000000000000000000000000000000,
2834 0.87522865731065508967027909558189);
2835 p[52] = Vector2d(-0.82569754738333487928005814615627,
2836 -0.57117161215160068889104816203223);
2837 p[53] = Vector2d(0.00000000000000000000000000000000,
2838 0.11420800543675486817879702813617E+01);
2839 break;
2840 case 40:
2841 // Order 40 (295 pts)
2842 // 1/6 data for 40-th order quadrature with 58 nodes.
2843 compressedSize = 58;
2844 fullSize = 295;
2845 w.resize(compressedSize);
2846 p.resize(compressedSize);
2847 w[0] = 0.49688685986076335500813888089767E-03;
2848 w[1] = 0.20421322651151844017762046611226E-02;
2849 w[2] = 0.11376335398163363442669464305672E-02;
2850 w[3] = 0.13123691749460771142584854517446E-02;
2851 w[4] = 0.53837565018711308131679874030211E-03;
2852 w[5] = 0.26896172405115405725156808433702E-02;
2853 w[6] = 0.54307048276333835762068445369337E-03;
2854 w[7] = 0.25198826411461542126409010399677E-02;
2855 w[8] = 0.15319142782715693899177741951315E-02;
2856 w[9] = 0.38411906228772124799394024016653E-02;
2857 w[10] = 0.25562607929590933659755695536622E-02;
2858 w[11] = 0.26896816019905783851160754457047E-02;
2859 w[12] = 0.60036514084449199244017297704017E-03;
2860 w[13] = 0.14715716460982722722064995019804E-02;
2861 w[14] = 0.39962224319702302486375553437309E-02;
2862 w[15] = 0.25534279525811038857142356722120E-02;
2863 w[16] = 0.25201810346020069847466083850254E-02;
2864 w[17] = 0.41167230724256272754400665111648E-03;
2865 w[18] = 0.56555181082450911185900550967659E-02;
2866 w[19] = 0.56586789117358307508299653903984E-02;
2867 w[20] = 0.10834097702542315480967100797076E-01;
2868 w[21] = 0.99225669815767172945689578107284E-02;
2869 w[22] = 0.24415471132838240081093498781218E-02;
2870 w[23] = 0.57970709422402784901464121587120E-02;
2871 w[24] = 0.50105635706238936498550178535846E-02;
2872 w[25] = 0.12758608174913493052074050132044E-02;
2873 w[26] = 0.55592023555177532864401800823748E-02;
2874 w[27] = 0.87115223434972838093595378352456E-02;
2875 w[28] = 0.13179261092062112504683572450985E-02;
2876 w[29] = 0.99446646389628687350930319624097E-02;
2877 w[30] = 0.69734880107002948832233705466873E-02;
2878 w[31] = 0.73103828906969970566980130701137E-02;
2879 w[32] = 0.59302091834307146929707082953472E-02;
2880 w[33] = 0.40971162551422433954212787599193E-02;
2881 w[34] = 0.57773519974100858251570872273170E-02;
2882 w[35] = 0.42621746164839825812632309788527E-02;
2883 w[36] = 0.86522628980919465385085382556473E-02;
2884 w[37] = 0.52900487244341074555301014519952E-02;
2885 w[38] = 0.60794404513723632450482344169488E-03;
2886 w[39] = 0.73967700759539224320693784348360E-02;
2887 w[40] = 0.47456468096285949486134939736546E-02;
2888 w[41] = 0.80914786877822581165281163168211E-04;
2889 w[42] = 0.53082561926097671621877127564791E-02;
2890 w[43] = 0.30789395107446736330440294150100E-02;
2891 w[44] = 0.16224159778341893367110818294581E-02;
2892 w[45] = 0.17880830179715579824918122606522E-02;
2893 w[46] = 0.41061127743554988075477642960788E-02;
2894 w[47] = 0.19270579632685484848497884675987E-02;
2895 w[48] = 0.59093070603955750104585123796686E-03;
2896 w[49] = 0.25603623606255944146797327158473E-02;
2897 w[50] = 0.74860701764472599200155271263176E-02;
2898 w[51] = 0.19931737634037231520593140572046E-02;
2899 w[52] = 0.79295305880649344360913599297743E-03;
2900 w[53] = 0.88807475399574394813610532572560E-02;
2901 w[54] = 0.47542421811652855221590656198943E-02;
2902 w[55] = 0.33799358355588133678392461897413E-02;
2903 w[56] = 0.40037958142737030132660946973599E-02;
2904 w[57] = 0.36660639965830984726685636110253E-03;
2905 p[0] = Vector2d(-0.66411637423956578739874309909381,
2906 -0.57470378380535839956317699309199);
2907 p[1] = Vector2d(-0.24207197863738398306862447542249,
2908 -0.55141831198597603831507286345131);
2909 p[2] = Vector2d(-0.67514797177612497189134399646036,
2910 -0.56556494724168897227639164041706);
2911 p[3] = Vector2d(-0.87225015944191233374717005469166,
2912 -0.51618467078933129623213777000412);
2913 p[4] = Vector2d(-0.76868567879223402156192530043099,
2914 -0.57460672418387407371421627702399);
2915 p[5] = Vector2d(-0.30999131154608929623930725445334,
2916 -0.54008229992950442561714306153720);
2917 p[6] = Vector2d(-0.85323240841065682042462033708838,
2918 -0.57384241303948358177304914166735);
2919 p[7] = Vector2d(-0.53727030292133569609030595551578,
2920 -0.55074388383078986548196008116722);
2921 p[8] = Vector2d(-0.76757602207091515344003545816282,
2922 -0.55974233776493979903089310270512);
2923 p[9] = Vector2d(-0.41709706260058898440960904281784,
2924 -0.52536474950509016897082596544373);
2925 p[10] = Vector2d(-0.64250324642862691442102353901370,
2926 -0.54449319151536051271909078020569);
2927 p[11] = Vector2d(-0.73395730528035636744565078095249,
2928 -0.53103387228266569983647483538750);
2929 p[12] = Vector2d(-0.43310798704792516669286002220314,
2930 -0.57587141183196674121843247917653);
2931 p[13] = Vector2d(-0.84693242965372475993997325395966,
2932 -0.55611797625038840229584838026927);
2933 p[14] = Vector2d(-0.52988575538367881737400733664267,
2934 -0.51296985906932015988541254967364);
2935 p[15] = Vector2d(-0.81395203621001148192221956701526,
2936 -0.52158827793142738546379723447015);
2937 p[16] = Vector2d(-0.13262238321158207908085298608017,
2938 -0.56187932687266342953378211324032);
2939 p[17] = Vector2d(0.00000000000000000000000000000000,
2940 0.11003011687008237336733434466617E+01);
2941 p[18] = Vector2d(0.00000000000000000000000000000000,
2942 0.13663584323344421793456675059387);
2943 p[19] = Vector2d(0.00000000000000000000000000000000,
2944 -0.12737340589454779203738364883373);
2945 p[20] = Vector2d(-0.12565893500209059730381606002675,
2946 -0.18929257322289204287244570649377);
2947 p[21] = Vector2d(-0.25582836243545168466615122195358,
2948 -0.25237212852983271455023246046020);
2949 p[22] = Vector2d(-0.41982097163871183619680245728246,
2950 -0.56044801444994193030345087522119);
2951 p[23] = Vector2d(-0.39584244571866434364968812226225,
2952 -0.47566799110898290470517971819636);
2953 p[24] = Vector2d(-0.13831881077136084719064254716209,
2954 -0.52410356380692977799609815127570);
2955 p[25] = Vector2d(-0.55558835329547161475407470013715,
2956 -0.57170940642241625229835788381429);
2957 p[26] = Vector2d(-0.26904113625079335044301504651780,
2958 -0.49908301034879271805709825139645);
2959 p[27] = Vector2d(-0.38617376855258266995224135587201,
2960 -0.31612494675971333985536967359669);
2961 p[28] = Vector2d(-0.90712290003268365546639318057557,
2962 -0.54847061860786860395005750661379);
2963 p[29] = Vector2d(-0.13211254083412060410003056730975,
2964 -0.29657575362028796765551235884180);
2965 p[30] = Vector2d(-0.13532200006090754449420198166522,
2966 -0.46558820109446506663286885353751);
2967 p[31] = Vector2d(-0.51005162143835566342423604409501,
2968 -0.37923882528380845099383801241958);
2969 p[32] = Vector2d(-0.51567412876653561433770558683539,
2970 -0.45684803758863608291625036678218);
2971 p[33] = Vector2d(-0.72835797984670651201858245642167,
2972 -0.48029591121869609066590186543256);
2973 p[34] = Vector2d(-0.62260740206958077067832393367003,
2974 -0.43603282267888446054028374651391);
2975 p[35] = Vector2d(-0.63528538940605775324683142950171,
2976 -0.50005009951296356150064101928238);
2977 p[36] = Vector2d(-0.13545478402323854515885777980547,
2978 -0.38891721146901775531494918295119);
2979 p[37] = Vector2d(0.00000000000000000000000000000000,
2980 0.27933482596036362512959496310960);
2981 p[38] = Vector2d(-0.91834711208585899367680729069800,
2982 -0.57179705694461496519432143619911);
2983 p[39] = Vector2d(-0.26841456178680462127694701451016,
2984 -0.43363067211489722444853507200367);
2985 p[40] = Vector2d(0.00000000000000000000000000000000,
2986 0.42523996391594593545924154391851);
2987 p[41] = Vector2d(0.00000000000000000000000000000000,
2988 0.11441090108726184667750585003180E+01);
2989 p[42] = Vector2d(0.00000000000000000000000000000000,
2990 -0.24234470017351667426024672589549);
2991 p[43] = Vector2d(0.00000000000000000000000000000000,
2992 -0.49681561132122740420073482664742);
2993 p[44] = Vector2d(-0.29450956974500233083745593494225,
2994 -0.57125217727233967706758863119402);
2995 p[45] = Vector2d(0.00000000000000000000000000000000,
2996 0.93003191476975548336483377359380);
2997 p[46] = Vector2d(0.00000000000000000000000000000000,
2998 0.56962631638217381356419889136285);
2999 p[47] = Vector2d(0.00000000000000000000000000000000,
3000 0.00000000000000000000000000000000);
3001 p[48] = Vector2d(-0.15766005001997588398000791219776,
3002 -0.57631399232172626259918827974601);
3003 p[49] = Vector2d(0.00000000000000000000000000000000,
3004 0.82111436271392253740638163140260);
3005 p[50] = Vector2d(-0.39500420341927114646355151929679,
3006 -0.40469300239711789646100476636550);
3007 p[51] = Vector2d(0.00000000000000000000000000000000,
3008 -0.54513955979531860983983136957607);
3009 p[52] = Vector2d(0.00000000000000000000000000000000,
3010 -0.57203141564320759086953238463017);
3011 p[53] = Vector2d(-0.26583541850389618832328064074218,
3012 -0.35075660264700114997055999049565);
3013 p[54] = Vector2d(0.00000000000000000000000000000000,
3014 -0.34273351742727767767145394888763);
3015 p[55] = Vector2d(0.00000000000000000000000000000000,
3016 0.70353037724633104142734855780744);
3017 p[56] = Vector2d(0.00000000000000000000000000000000,
3018 -0.42794958420782980247198112865939);
3019 p[57] = Vector2d(-0.96488163632640580772795528150790,
3020 -0.57216175902539330683834475050253);
3021 break;
3022 case 41:
3023 // Order 41 (309 pts)
3024 // 1/6 data for 41-th order quadrature with 58 nodes.
3025 compressedSize = 58;
3026 fullSize = 309;
3027 w.resize(compressedSize);
3028 p.resize(compressedSize);
3029 w[0] = 0.34355666699665572908084305656243E-04;
3030 w[1] = 0.42399098861468427455877995758264E-02;
3031 w[2] = 0.37154110284138247834042735653067E-02;
3032 w[3] = 0.12458404025090231132925565144087E-02;
3033 w[4] = 0.14185150154704695672229773526671E-02;
3034 w[5] = 0.72851462067084252604660686856037E-03;
3035 w[6] = 0.49283298823596391034884407259565E-02;
3036 w[7] = 0.53613423093296115706064365551043E-02;
3037 w[8] = 0.19577303889005218175716306314385E-02;
3038 w[9] = 0.23541334060017086291762687738959E-02;
3039 w[10] = 0.13574312941869499732389430016423E-02;
3040 w[11] = 0.33325721812546689467184010795628E-02;
3041 w[12] = 0.29644284948173195699449497133337E-02;
3042 w[13] = 0.37091902076730237290376100062468E-03;
3043 w[14] = 0.80403871323958185654768572258748E-02;
3044 w[15] = 0.27933379921942981118737786316620E-02;
3045 w[16] = 0.43548510260672555779566602140770E-02;
3046 w[17] = 0.98750346722284897815375163954063E-03;
3047 w[18] = 0.33140399984357008523996740964860E-02;
3048 w[19] = 0.39548685266133002402731823562045E-02;
3049 w[20] = 0.81907961822989578237987369917385E-02;
3050 w[21] = 0.39990415768416250914981967446877E-02;
3051 w[22] = 0.64543016375148533251238361162029E-03;
3052 w[23] = 0.77525238376409612296793051209554E-02;
3053 w[24] = 0.82098277784420498504581064200822E-02;
3054 w[25] = 0.77505992315050355696141616800802E-03;
3055 w[26] = 0.31460954824696309149912473051966E-03;
3056 w[27] = 0.30771570801706524162859379333622E-02;
3057 w[28] = 0.13758671651214991382998623408107E-02;
3058 w[29] = 0.44530286851553646989910342775063E-02;
3059 w[30] = 0.78835322339101614146632253638963E-02;
3060 w[31] = 0.67359298176593092050484809442566E-03;
3061 w[32] = 0.30115058169438009830398484639718E-02;
3062 w[33] = 0.47516681892344821461215335464754E-02;
3063 w[34] = 0.92897161081570613163976545109188E-02;
3064 w[35] = 0.57624992565964513866295347402457E-02;
3065 w[36] = 0.13386293617916449653435311528237E-02;
3066 w[37] = 0.45476733851440924400633719363253E-02;
3067 w[38] = 0.21881299772745267054828351965957E-02;
3068 w[39] = 0.44103886097359621239681297088827E-02;
3069 w[40] = 0.31408957167973836083480622860722E-02;
3070 w[41] = 0.54951077871372566664971370622657E-02;
3071 w[42] = 0.50946823920529338224773265834011E-02;
3072 w[43] = 0.28852806434905299950945859499645E-02;
3073 w[44] = 0.12012233088773826615649104421917E-02;
3074 w[45] = 0.47576797651663080029937010231751E-02;
3075 w[46] = 0.10565898230048048225468444873170E-02;
3076 w[47] = 0.12889097209731337671344489509095E-02;
3077 w[48] = 0.78373349308822302058968405245672E-02;
3078 w[49] = 0.88868099593492497317748964708364E-02;
3079 w[50] = 0.64917648662630346100035827874498E-02;
3080 w[51] = 0.26315125248814009986883523206499E-02;
3081 w[52] = 0.37615631205534999461032753334140E-02;
3082 w[53] = 0.42869570500049250611205071236900E-02;
3083 w[54] = 0.77283572873216484561057801262313E-02;
3084 w[55] = 0.67055003387097703603196736320573E-02;
3085 w[56] = 0.33782766604571404544711257767029E-02;
3086 w[57] = 0.26121233276609877149517818702563E-02;
3087 p[0] = Vector2d(0.00000000000000000000000000000000,
3088 0.11484303236078189653199134730205E+01);
3089 p[1] = Vector2d(0.00000000000000000000000000000000,
3090 0.64867318675503157654602022450247E-01);
3091 p[2] = Vector2d(0.00000000000000000000000000000000,
3092 -0.13336487938297912910317293715113);
3093 p[3] = Vector2d(-0.90707509366054513441839735030000,
3094 -0.50914331749408594839577823579785);
3095 p[4] = Vector2d(-0.83678266843431511046582515644399,
3096 -0.54016766573740110842549247829795);
3097 p[5] = Vector2d(-0.94247957093734042414919187055867,
3098 -0.55659144758280954666377007954550);
3099 p[6] = Vector2d(-0.47818348033753518695149771130636,
3100 -0.41036116782557410608240092285442);
3101 p[7] = Vector2d(-0.47786178727052685018858128857025,
3102 -0.35568548495723222120621918256555);
3103 p[8] = Vector2d(0.00000000000000000000000000000000,
3104 -0.51447322281830402728376303287297);
3105 p[9] = Vector2d(-0.82977481051684242521921168766497,
3106 -0.50391286234357388108253695826115);
3107 p[10] = Vector2d(-0.80506207604730995380052139962066,
3108 -0.55710779590286589800031532601371);
3109 p[11] = Vector2d(-0.75892338634994084017742272212251,
3110 -0.46781272099145912035205586389519);
3111 p[12] = Vector2d(-0.66697937351822451848579519358950E-01,
3112 -0.55164499869306851582964960390351);
3113 p[13] = Vector2d(-0.93039119591469919672730326618751,
3114 -0.57416322708744445609317793776209);
3115 p[14] = Vector2d(-0.10179246544689757723568411908004,
3116 -0.13038223693758752754332823314062);
3117 p[15] = Vector2d(0.00000000000000000000000000000000,
3118 0.66182123823402367862263609405308);
3119 p[16] = Vector2d(-0.11964378950220348999333477645940,
3120 -0.51461673052711459891571855445469);
3121 p[17] = Vector2d(-0.89370315180977679131356546281919,
3122 -0.55908758428750220767836487535657);
3123 p[18] = Vector2d(0.00000000000000000000000000000000,
3124 0.54975195106341269371593215963727);
3125 p[19] = Vector2d(0.00000000000000000000000000000000,
3126 -0.31822881181210445991186635948848);
3127 p[20] = Vector2d(-0.12537506708828195458087022987466,
3128 -0.31576402673138936793850567085049);
3129 p[21] = Vector2d(0.00000000000000000000000000000000,
3130 0.42731758372108878724118641820065);
3131 p[22] = Vector2d(-0.86060405291382569981156454363751,
3132 -0.57305121360034517332191987171046);
3133 p[23] = Vector2d(-0.37246528778512515239684348047261,
3134 -0.30895554368016513106704832983371);
3135 p[24] = Vector2d(-0.25224760836480194469992557046715,
3136 -0.31414513744457014202355344166677);
3137 p[25] = Vector2d(-0.77250795122178423033233897226693,
3138 -0.57323223918730283416506419525826);
3139 p[26] = Vector2d(-0.97281903597154664921569844697325,
3140 -0.57206883390058007347834073977517);
3141 p[27] = Vector2d(-0.20361834007684187876306722478542,
3142 -0.55123879656195327272974224654403);
3143 p[28] = Vector2d(-0.14229399114449109919839299325896,
3144 -0.57235407491813576252917143617978);
3145 p[29] = Vector2d(0.00000000000000000000000000000000,
3146 0.24454257138245059331980778970388);
3147 p[30] = Vector2d(-0.71543818078714833155329003431939E-01,
3148 -0.39589172778651022907750111971765);
3149 p[31] = Vector2d(0.00000000000000000000000000000000,
3150 -0.57251313359481391919877047590178);
3151 p[32] = Vector2d(-0.34072584339074050558489837485303,
3152 -0.55166089418268212499172347118887);
3153 p[33] = Vector2d(-0.25420500317361023538457045471745,
3154 -0.51370572700173861398292804694009);
3155 p[34] = Vector2d(-0.13311178834618634999839119772768,
3156 -0.22603324747774107959414273668825);
3157 p[35] = Vector2d(-0.42835120414075877047497032365690,
3158 -0.46374623851729501975734765797479);
3159 p[36] = Vector2d(-0.28308678232916800143508359259067,
3160 -0.57244266277976037743059136383490);
3161 p[37] = Vector2d(-0.38982610581001483073643842554906,
3162 -0.51490548014106772939857400939256);
3163 p[38] = Vector2d(-0.71358109961060030283458818362239,
3164 -0.55283101652348038522394903514786);
3165 p[39] = Vector2d(-0.67177893900431715796469854575323,
3166 -0.46689252269607195573705009252807);
3167 p[40] = Vector2d(-0.75059812077502214633644715294448,
3168 -0.51923400712748281983594166768317);
3169 p[41] = Vector2d(-0.59464715111368400987629742768832,
3170 -0.40487430456712229688846342248602);
3171 p[42] = Vector2d(-0.55914730411574729626305044953771,
3172 -0.46537465321601328935261456909651);
3173 p[43] = Vector2d(-0.47513641482741620402395711593316,
3174 -0.55154491728129470377025145643426);
3175 p[44] = Vector2d(-0.55098939175943078591819138664469,
3176 -0.57240622147657917252995100547841);
3177 p[45] = Vector2d(0.00000000000000000000000000000000,
3178 -0.22943850805370712324762812120392);
3179 p[46] = Vector2d(-0.66906775613675318713614198789292,
3180 -0.57244722857070476735714053106836);
3181 p[47] = Vector2d(-0.42086181836543388245829813956203,
3182 -0.57243826525037158906984485750360);
3183 p[48] = Vector2d(-0.21245173597369898203729302395941,
3184 -0.39438908961583798768936375721498);
3185 p[49] = Vector2d(-0.25800420807868548956655134212985,
3186 -0.22157162536728802662765970391773);
3187 p[50] = Vector2d(-0.29370336187542435095775000461405,
3188 -0.46047385175478172230586878054650);
3189 p[51] = Vector2d(-0.60047596226514389492291181185375,
3190 -0.55148536852211283444706530727333);
3191 p[52] = Vector2d(-0.64378659978871008420405373260754,
3192 -0.51606114317066720323109583010886);
3193 p[53] = Vector2d(-0.52124100620529880265092320687752,
3194 -0.51455997052960895786677902884130);
3195 p[54] = Vector2d(-0.35101185488933557658235806095652,
3196 -0.39271417796087884909400497182759);
3197 p[55] = Vector2d(-0.14878346974678461727537723668515,
3198 -0.46204815328845467442262509683753);
3199 p[56] = Vector2d(0.00000000000000000000000000000000,
3200 -0.46220719577895767618412315479348);
3201 p[57] = Vector2d(0.00000000000000000000000000000000,
3202 0.79756730028191280539809974543073);
3203 break;
3204 case 42:
3205 // Order 42 (324 pts)
3206 // 1/6 data for 42-th order quadrature with 62 nodes.
3207 compressedSize = 62;
3208 fullSize = 324;
3209 w.resize(compressedSize);
3210 p.resize(compressedSize);
3211 w[0] = 0.23336887717611856261356883070280E-02;
3212 w[1] = 0.22846739164921267903695204331260E-04;
3213 w[2] = 0.70111433879772498743791597802441E-03;
3214 w[3] = 0.66736115582873727562875088212462E-03;
3215 w[4] = 0.57785786514264065438532593664687E-03;
3216 w[5] = 0.13648017145261238754376858784678E-02;
3217 w[6] = 0.18715796130141111886024261596391E-02;
3218 w[7] = 0.12311750904528985305433912829374E-02;
3219 w[8] = 0.73641178059201489942713406653212E-03;
3220 w[9] = 0.33400912254975143418927736967276E-02;
3221 w[10] = 0.53408360185582866807409529152528E-02;
3222 w[11] = 0.87691656602387380470263190564516E-03;
3223 w[12] = 0.29827840345921013265121144680296E-03;
3224 w[13] = 0.14428656899060768897862657143696E-02;
3225 w[14] = 0.89736946555330205057357879483966E-03;
3226 w[15] = 0.24622832560853176787327086769666E-03;
3227 w[16] = 0.22197294779296558696560399072253E-02;
3228 w[17] = 0.25038963454662955321871600907872E-02;
3229 w[18] = 0.10178082444714138863786539439139E-02;
3230 w[19] = 0.41750972622189718039985200715331E-02;
3231 w[20] = 0.28539390170943817441698264694008E-02;
3232 w[21] = 0.53618401327742042860547051137744E-02;
3233 w[22] = 0.44379187212093563379576658435829E-02;
3234 w[23] = 0.43923515022689111826190793996648E-02;
3235 w[24] = 0.62671836400915488143041776852213E-03;
3236 w[25] = 0.97955449417192964190566775890366E-03;
3237 w[26] = 0.23018208943548581359392383454856E-02;
3238 w[27] = 0.28689426702522553567921914933795E-02;
3239 w[28] = 0.29825739568587811806411249714095E-02;
3240 w[29] = 0.25047104675084795836734599265446E-02;
3241 w[30] = 0.52092111037958286914269299684586E-02;
3242 w[31] = 0.28471024101248386546695067189237E-02;
3243 w[32] = 0.82474954978823005019031886199947E-02;
3244 w[33] = 0.31999957236382169770094914684218E-02;
3245 w[34] = 0.37199859798352839350442391912941E-02;
3246 w[35] = 0.85220480529686853126175155374059E-02;
3247 w[36] = 0.55913173485803385482484428528564E-02;
3248 w[37] = 0.38298884403760618569504568998379E-02;
3249 w[38] = 0.23089127874100000149196844935704E-02;
3250 w[39] = 0.70117980296802485289704436077025E-02;
3251 w[40] = 0.24321512738535918412817989755737E-02;
3252 w[41] = 0.93669661545711090880311728905074E-03;
3253 w[42] = 0.20642879082447440946641719056348E-02;
3254 w[43] = 0.90936551597467743554493293539138E-02;
3255 w[44] = 0.79986620899126243521988101233587E-03;
3256 w[45] = 0.77120700714742987371071118791067E-02;
3257 w[46] = 0.10219559553814186449346549825429E-01;
3258 w[47] = 0.17241106961996584893369591793848E-02;
3259 w[48] = 0.13912182187991904328859295409100E-02;
3260 w[49] = 0.53283478006725665670848896066726E-02;
3261 w[50] = 0.53185152093575276335966863060532E-02;
3262 w[51] = 0.68994902614553096607967297139181E-03;
3263 w[52] = 0.68499915239657437963246941954227E-02;
3264 w[53] = 0.39920622096982370641881855622790E-02;
3265 w[54] = 0.64073752422181504921770295563876E-02;
3266 w[55] = 0.86898690635024727222144915241917E-02;
3267 w[56] = 0.47974852921883757762301535128063E-02;
3268 w[57] = 0.74399462871562674711612756662098E-02;
3269 w[58] = 0.81490368631924462501235690710386E-02;
3270 w[59] = 0.39847607162807112945480365181103E-02;
3271 w[60] = 0.44476356973374278433219749730315E-02;
3272 w[61] = 0.52129984983515280965046257082396E-02;
3273 p[0] = Vector2d(0.00000000000000000000000000000000,
3274 -0.23915669727967103118380139768186);
3275 p[1] = Vector2d(0.00000000000000000000000000000000,
3276 0.11499706797515916998220806401861E+01);
3277 p[2] = Vector2d(-0.33732186702983072527377866348931,
3278 -0.57463021225838519900335995927075);
3279 p[3] = Vector2d(0.00000000000000000000000000000000,
3280 -0.56879992979770302521884041359830);
3281 p[4] = Vector2d(-0.96033929602597311557761977477877,
3282 -0.54196210567272946906489712244628);
3283 p[5] = Vector2d(-0.86369982899641926289375115271667,
3284 -0.53941219280079277870643403803930);
3285 p[6] = Vector2d(0.00000000000000000000000000000000,
3286 -0.50772285124871792168226530442572);
3287 p[7] = Vector2d(0.00000000000000000000000000000000,
3288 0.92445442054483368113851672487764);
3289 p[8] = Vector2d(-0.91964505433817813657264837251525E-01,
3290 -0.57476336247113177371961348404936);
3291 p[9] = Vector2d(-0.66309355251219477483888932315586,
3292 -0.48132277490581309659947493263723);
3293 p[10] = Vector2d(-0.51372916997472296488281957020097,
3294 -0.37176697642006607510778844628504);
3295 p[11] = Vector2d(0.00000000000000000000000000000000,
3296 0.10049252920684353614918795242733E+01);
3297 p[12] = Vector2d(-0.93438263780905817601029667101954,
3298 -0.57493742331160895521040050048537);
3299 p[13] = Vector2d(0.00000000000000000000000000000000,
3300 -0.54376585322681251262386416118604);
3301 p[14] = Vector2d(-0.90377238041680626119957295786590,
3302 -0.55951105488338182442194601355457);
3303 p[15] = Vector2d(-0.97636560454756210194148963029962,
3304 -0.57287342016015178837509330570583);
3305 p[16] = Vector2d(-0.80976763015790175270655294347859,
3306 -0.50897875397137854857739836711645);
3307 p[17] = Vector2d(-0.11503943729553541704016281376984,
3308 -0.55605671624505328368102486115945);
3309 p[18] = Vector2d(-0.45642869772220040454862543963416,
3310 -0.57286458799044539871933065364668);
3311 p[19] = Vector2d(-0.26081632436550845472752474357332,
3312 -0.51230069551399328623142182353309);
3313 p[20] = Vector2d(-0.23737442933070842287301049364327,
3314 -0.54774164573700082169258700885382);
3315 p[21] = Vector2d(-0.48002697917900107156245025485608,
3316 -0.42881250819630884111523888550059);
3317 p[22] = Vector2d(-0.55650162501787387537981069378810,
3318 -0.47691618600212933305894604508553);
3319 p[23] = Vector2d(-0.12478176574417714212774268424213,
3320 -0.51872351401291148614495359408056);
3321 p[24] = Vector2d(0.00000000000000000000000000000000,
3322 0.10611738733054864308352869822745E+01);
3323 p[25] = Vector2d(-0.57250293774060918335092055220851,
3324 -0.57297391133539792503817569661015);
3325 p[26] = Vector2d(-0.35082904042609762405060413462916,
3326 -0.55889259681253444754878375605606);
3327 p[27] = Vector2d(0.00000000000000000000000000000000,
3328 0.67490581305685926714955055515407);
3329 p[28] = Vector2d(0.00000000000000000000000000000000,
3330 -0.46308066751251361359457711328632);
3331 p[29] = Vector2d(-0.48329385573259627109084340701262,
3332 -0.55408939280498580695400859722506);
3333 p[30] = Vector2d(-0.60723425879311620189016063272093,
3334 -0.42433782075470535918840983649065);
3335 p[31] = Vector2d(-0.74479369220077260375364623234338,
3336 -0.52032748775510677492310958477448);
3337 p[32] = Vector2d(-0.88899121520171718881192636679144E-01,
3338 -0.23994545417022376699165559718980);
3339 p[33] = Vector2d(-0.64093927012580804843536900337703,
3340 -0.52285819108589385499701905311092);
3341 p[34] = Vector2d(-0.72840614316212545054184733409861,
3342 -0.46066493316460819615558728243469);
3343 p[35] = Vector2d(-0.34632334976132410062989430769368,
3344 -0.25420978730877827119837106988602);
3345 p[36] = Vector2d(-0.29328359092418193020774881585849,
3346 -0.46670083015487351222116455572352);
3347 p[37] = Vector2d(-0.52075640841362497935400311743224,
3348 -0.52093525817617790107842375316544);
3349 p[38] = Vector2d(-0.60555027935120159340828726711903,
3350 -0.55435992266257116866227670316197);
3351 p[39] = Vector2d(-0.40905454399991287433613498814895,
3352 -0.34138644830088341585231904393856);
3353 p[40] = Vector2d(0.00000000000000000000000000000000,
3354 0.78549511301950868330086537396862);
3355 p[41] = Vector2d(-0.68384877689179067855591079553230,
3356 -0.57282030241995550160692247503933);
3357 p[42] = Vector2d(-0.71845211882128619528987877814782,
3358 -0.55400012643472741059711642382680);
3359 p[43] = Vector2d(-0.21667354415688649871182254929595,
3360 -0.24499725128675631298290375529787);
3361 p[44] = Vector2d(-0.78401417474182939603497549800273,
3362 -0.57293824798152066163974973440469);
3363 p[45] = Vector2d(-0.73829866676407222514323372659105E-01,
3364 -0.40234854190615793941968454639826);
3365 p[46] = Vector2d(-0.13454529284893910979363670735151,
3366 -0.14476929626336181753272157091150);
3367 p[47] = Vector2d(-0.81224627731204864480024020247250,
3368 -0.55359930548468954074315532763614);
3369 p[48] = Vector2d(-0.21779874120415795023777409358666,
3370 -0.57155725996820959476202397056243);
3371 p[49] = Vector2d(0.00000000000000000000000000000000,
3372 0.74817466669102061182393603775266E-01);
3373 p[50] = Vector2d(-0.42173742894104082835679644928203,
3374 -0.48091898059119731232834971500976);
3375 p[51] = Vector2d(-0.86724517518683599270071051238882,
3376 -0.57249401685345627316687746770457);
3377 p[52] = Vector2d(-0.35974948772649811066870719069685,
3378 -0.41046630772117739922581443734300);
3379 p[53] = Vector2d(-0.38462016485447150927117414922040,
3380 -0.52677593302205091340352395053193);
3381 p[54] = Vector2d(-0.14709579616219243877526898806227,
3382 -0.46723591737438723999494490231575);
3383 p[55] = Vector2d(-0.14236698354849056304093448822305,
3384 -0.32805865585485880306160348707314);
3385 p[56] = Vector2d(0.00000000000000000000000000000000,
3386 0.30647862202829743938620359376295);
3387 p[57] = Vector2d(-0.21806859696894763488778637237838,
3388 -0.40551576066406470095805909037152);
3389 p[58] = Vector2d(-0.28058519641950796678974392628735,
3390 -0.33418952446785743728949888770460);
3391 p[59] = Vector2d(0.00000000000000000000000000000000,
3392 0.54905382739186092457188995702651);
3393 p[60] = Vector2d(0.00000000000000000000000000000000,
3394 -0.32644308263379735102228951317930);
3395 p[61] = Vector2d(0.00000000000000000000000000000000,
3396 -0.14180931586841959084250934615779);
3397 break;
3398 case 43:
3399 // Order 43 (339 pts)
3400 // 1/6 data for 43-th order quadrature with 65 nodes.
3401 compressedSize = 65;
3402 fullSize = 339;
3403 w.resize(compressedSize);
3404 p.resize(compressedSize);
3405 w[0] = 0.20267313231941893676520332064545E-02;
3406 w[1] = 0.16367671769150146246172346306318E-02;
3407 w[2] = 0.51493216424315589396152049973413E-02;
3408 w[3] = 0.40049166791821914724573044327252E-03;
3409 w[4] = 0.38679957027277816063713365008715E-02;
3410 w[5] = 0.34975453538986470037287749440995E-02;
3411 w[6] = 0.13692247906521867994012332715043E-02;
3412 w[7] = 0.50916564180668567506293917701109E-02;
3413 w[8] = 0.71541887598019862130827731596776E-02;
3414 w[9] = 0.67554356473948161976278050806714E-02;
3415 w[10] = 0.45197199185406262459677900374973E-02;
3416 w[11] = 0.35861506794982540830122357172132E-02;
3417 w[12] = 0.10622739063192419924108232636689E-02;
3418 w[13] = 0.40560451238345220270219217309857E-02;
3419 w[14] = 0.71306365950803849055449621912648E-03;
3420 w[15] = 0.28901178272685770916650253073937E-02;
3421 w[16] = 0.35628382297785204095556205282981E-02;
3422 w[17] = 0.23337289887646671489220572776197E-02;
3423 w[18] = 0.17876266669191564461852559716746E-02;
3424 w[19] = 0.27892998079816587686734710640336E-02;
3425 w[20] = 0.13320835956879952672184157241896E-02;
3426 w[21] = 0.18191641344329572250280779466083E-02;
3427 w[22] = 0.10907352970205207235715895372753E-02;
3428 w[23] = 0.27936513125358662464080516863599E-02;
3429 w[24] = 0.75818102244409073466682226454199E-02;
3430 w[25] = 0.31066065630647406501495742839881E-03;
3431 w[26] = 0.64045511782145175218433235311442E-03;
3432 w[27] = 0.79769491206495963710875582745134E-02;
3433 w[28] = 0.52105480536968519556750471994035E-02;
3434 w[29] = 0.25683586574526020251013582443614E-02;
3435 w[30] = 0.41796721048381089538295214085205E-02;
3436 w[31] = 0.54981489589321546105773135980457E-03;
3437 w[32] = 0.36900063605190763288766065453592E-02;
3438 w[33] = 0.40460366093556559458970343028029E-03;
3439 w[34] = 0.99764710822395591487080703901083E-03;
3440 w[35] = 0.21433057408916717136795809729450E-02;
3441 w[36] = 0.13181554039184077697417192202970E-02;
3442 w[37] = 0.24966385865177930712178241334390E-03;
3443 w[38] = 0.56415208115924918653995444365333E-04;
3444 w[39] = 0.35108086150369173319630529016857E-02;
3445 w[40] = 0.51624236567181411900078094419075E-02;
3446 w[41] = 0.96766243407032355999668290740009E-03;
3447 w[42] = 0.45731471950392280996000615522500E-02;
3448 w[43] = 0.34583136168620142190249880837043E-02;
3449 w[44] = 0.24237265422044902192234994737096E-02;
3450 w[45] = 0.77977816580077882796552949686740E-02;
3451 w[46] = 0.80588323551714052775101742970255E-03;
3452 w[47] = 0.50339349950361747376652268826760E-02;
3453 w[48] = 0.54331525883336925722484960144977E-02;
3454 w[49] = 0.88072094639810414255439357569340E-02;
3455 w[50] = 0.26943758842246860082040659620724E-02;
3456 w[51] = 0.11555336183140089850951172772477E-02;
3457 w[52] = 0.20764819925413973070582238653112E-02;
3458 w[53] = 0.83010524908151710705626972584161E-02;
3459 w[54] = 0.56231102351940614439232706639500E-02;
3460 w[55] = 0.12763777281762985620080832782995E-02;
3461 w[56] = 0.97128666683373741323713272921117E-03;
3462 w[57] = 0.69250253173029413525682166964403E-02;
3463 w[58] = 0.69755502078755805652513910381880E-02;
3464 w[59] = 0.32320158906108914651035701130350E-02;
3465 w[60] = 0.35091833149609820457735281284170E-02;
3466 w[61] = 0.66535574606795091616463991758331E-02;
3467 w[62] = 0.58357235029408977357372091365790E-02;
3468 w[63] = 0.21654064214107489596481597275945E-02;
3469 w[64] = 0.48130202892800976037200791733793E-02;
3470 p[0] = Vector2d(0.00000000000000000000000000000000,
3471 -0.27174781657834587367794828403112);
3472 p[1] = Vector2d(0.00000000000000000000000000000000,
3473 -0.49274259095938795471287794986388);
3474 p[2] = Vector2d(-0.39506733155766901012421952821161,
3475 -0.32541690542417216472121438315947);
3476 p[3] = Vector2d(0.00000000000000000000000000000000,
3477 -0.57450914029685444604595657642940);
3478 p[4] = Vector2d(0.00000000000000000000000000000000,
3479 0.12846740408215895203363603738439);
3480 p[5] = Vector2d(-0.24646837298065380013273617416435,
3481 -0.52120501981219468628421175620930);
3482 p[6] = Vector2d(-0.79575263644167424708927638836510,
3483 -0.55585048147520898296581708536554);
3484 p[7] = Vector2d(-0.48253886188633001772041546826783,
3485 -0.33857300476573982851491415786097);
3486 p[8] = Vector2d(-0.62546966261193450084215465475134E-01,
3487 -0.34294121393179207633049958993479);
3488 p[9] = Vector2d(-0.30130814355531906520968875282228,
3489 -0.32875457338449147616580244617275);
3490 p[10] = Vector2d(0.00000000000000000000000000000000,
3491 -0.68781371078380984368245670302187E-01);
3492 p[11] = Vector2d(-0.35231165502281585353535246732493,
3493 -0.51594631133528140591593205811015);
3494 p[12] = Vector2d(0.00000000000000000000000000000000,
3495 -0.56039688938398587880112568739761);
3496 p[13] = Vector2d(-0.12800312652182834294317879260650,
3497 -0.51600357027661430283719712442229);
3498 p[14] = Vector2d(0.00000000000000000000000000000000,
3499 0.10406975917564771325612019382002E+01);
3500 p[15] = Vector2d(-0.75118628320269714215689196084969,
3501 -0.48071245484494572753863498860590);
3502 p[16] = Vector2d(-0.67034428298913296399375404066474,
3503 -0.46654018005672172190079466787693);
3504 p[17] = Vector2d(-0.77580876066209624496610974380034,
3505 -0.52493394350877366855931608373780);
3506 p[18] = Vector2d(0.00000000000000000000000000000000,
3507 -0.53080573778005055886715862589101);
3508 p[19] = Vector2d(-0.12785487625900558619560024121639,
3509 -0.55199717395419102378360697714430);
3510 p[20] = Vector2d(0.00000000000000000000000000000000,
3511 0.93744923795883541057323646131539);
3512 p[21] = Vector2d(-0.71268785841843536059482927597042,
3513 -0.55378528333018398654846926976093);
3514 p[22] = Vector2d(-0.27040014117930207740167640614761,
3515 -0.57306164103038438002759473015017);
3516 p[23] = Vector2d(0.00000000000000000000000000000000,
3517 0.65329413919843916560086065083107);
3518 p[24] = Vector2d(-0.18478688196683115844840486556670,
3519 -0.32979522157781538320615791050048);
3520 p[25] = Vector2d(0.00000000000000000000000000000000,
3521 0.11084041345444688623805682120094E+01);
3522 p[26] = Vector2d(-0.80938151535440202130076995993744,
3523 -0.57315735914007292751468298272925);
3524 p[27] = Vector2d(-0.31942848667068561771894552587106,
3525 -0.23933996521344827119141006030721);
3526 p[28] = Vector2d(-0.85468012516227660038415955640997E-01,
3527 -0.46640357835051818210779901438991);
3528 p[29] = Vector2d(-0.25825613481914215491217537746903,
3529 -0.55450865650449884106657600267936);
3530 p[30] = Vector2d(-0.58279946491371434111606534307889,
3531 -0.47018294735939914621510849234674);
3532 p[31] = Vector2d(-0.87969623175882104649066373698787,
3533 -0.57282533435858176236473269144498);
3534 p[32] = Vector2d(-0.46561039262024648141549373583729,
3535 -0.51813075309225748766670475143277);
3536 p[33] = Vector2d(-0.93340399559638336764338113699127,
3537 -0.57275889464282222126170595591666);
3538 p[34] = Vector2d(-0.51396050819491791778081081792183,
3539 -0.57286153985489888900353792433004);
3540 p[35] = Vector2d(-0.61691723863061563788005694821551,
3541 -0.55262810787321224192869259072191);
3542 p[36] = Vector2d(-0.86363081428402156734207066959522,
3543 -0.55335026706806535430401211392438);
3544 p[37] = Vector2d(-0.97099189034945842829889245820946,
3545 -0.57303083539166774608654680411579);
3546 p[38] = Vector2d(0.00000000000000000000000000000000,
3547 0.11458153208366305893213396871360E+01);
3548 p[39] = Vector2d(0.00000000000000000000000000000000,
3549 0.50423840889193913255432466884584);
3550 p[40] = Vector2d(-0.62361278877871758607587901074940,
3551 -0.40338147343700279281658672539043);
3552 p[41] = Vector2d(-0.91989119779265366986023199875079,
3553 -0.55362560310096266386701313905319);
3554 p[42] = Vector2d(0.00000000000000000000000000000000,
3555 -0.17054110158363053238654111959974);
3556 p[43] = Vector2d(-0.57692441054824302159307937523806,
3557 -0.51821251917615874954294201331871);
3558 p[44] = Vector2d(-0.50723010453494962638105205800859,
3559 -0.55343995679985670491884892559641);
3560 p[45] = Vector2d(-0.84394330147763359879321357561682E-01,
3561 -0.25432761855273552279988165105579);
3562 p[46] = Vector2d(-0.72274543590291663139776270288902,
3563 -0.57294781282937958180985481791538);
3564 p[47] = Vector2d(-0.47250099165753816338998461789401,
3565 -0.46817056136138252363928334992228);
3566 p[48] = Vector2d(-0.35080029727614026576846631364065,
3567 -0.46671221117152839234190202161524);
3568 p[49] = Vector2d(-0.12275092202821139885819853243053,
3569 -0.15827564830985659745747052529915);
3570 p[50] = Vector2d(-0.38479753550946700083527634968480,
3571 -0.55206358961559880212009617361087);
3572 p[51] = Vector2d(-0.39605917796945196543812828983515,
3573 -0.57246915152619833238307709646113);
3574 p[52] = Vector2d(-0.84481754164315782828022282277629,
3575 -0.51822758166184266566614267250055);
3576 p[53] = Vector2d(-0.20507268425580293655253183641047,
3577 -0.24244875862513978976057242564588);
3578 p[54] = Vector2d(-0.52353562229447874684448906255323,
3579 -0.40871265880657287984484480492628);
3580 p[55] = Vector2d(-0.13693189087059081697918132267328,
3581 -0.57252078775710633720596892661685);
3582 p[56] = Vector2d(-0.62320689311818688506948006480502,
3583 -0.57257680220856426874713292476538);
3584 p[57] = Vector2d(-0.14379384782311729469209427032452,
3585 -0.40790874923298185895067251523869);
3586 p[58] = Vector2d(-0.27449236039881046467163004113221,
3587 -0.40488358656967401446800162607396);
3588 p[59] = Vector2d(-0.68227667429915713110204049156621,
3589 -0.51826247883638312778785904937525);
3590 p[60] = Vector2d(0.00000000000000000000000000000000,
3591 -0.41416427390059670796562799333653);
3592 p[61] = Vector2d(-0.40313963669589460865080761368403,
3593 -0.40328359141014275624720285726773);
3594 p[62] = Vector2d(-0.22073052548745090606319136542233,
3595 -0.47052810769116907040147328262294);
3596 p[63] = Vector2d(0.00000000000000000000000000000000,
3597 0.83299965359609554712354240867349);
3598 p[64] = Vector2d(0.00000000000000000000000000000000,
3599 0.28006707539158895931997168962991);
3600 break;
3601 case 44:
3602 // Order 44 (354 pts)
3603 // 1/6 data for 44-th order quadrature with 67 nodes
3604 compressedSize = 67;
3605 fullSize = 354;
3606 w.resize(compressedSize);
3607 p.resize(compressedSize);
3608 w[0] = 0.2915373135979705462354669962222584E-04;
3609 w[1] = 0.5421904422449839736435313083383586E-03;
3610 w[2] = 0.3596051767025996319384007236006714E-03;
3611 w[3] = 0.7097961495022424493012412105851562E-03;
3612 w[4] = 0.8830579864206354364504096263197627E-03;
3613 w[5] = 0.2973426233859937360534817748447138E-03;
3614 w[6] = 0.4238631002729904678977975696568931E-03;
3615 w[7] = 0.7389606753338469971149288564795965E-03;
3616 w[8] = 0.1148374312030633712597584302352535E-02;
3617 w[9] = 0.1273653397793799775219820208340736E-02;
3618 w[10] = 0.1772310668755885176871822523120592E-02;
3619 w[11] = 0.1760259894656385175896251017077239E-02;
3620 w[12] = 0.1591696809621534312060249900305618E-02;
3621 w[13] = 0.7861912161306376969359324550937249E-03;
3622 w[14] = 0.1932261265768957224441734639436218E-02;
3623 w[15] = 0.1054246990932389772147217163517965E-02;
3624 w[16] = 0.2442199620811447342051688108995863E-03;
3625 w[17] = 0.9494447813509459504714159753943138E-03;
3626 w[18] = 0.2016444809029372508564748979562772E-02;
3627 w[19] = 0.1796212502278787821852696540715106E-02;
3628 w[20] = 0.1985990719999202087365783713106505E-02;
3629 w[21] = 0.4476918545924685844030658743575517E-02;
3630 w[22] = 0.7926095313482192607115919198160405E-03;
3631 w[23] = 0.1363437100111953041990336948238837E-02;
3632 w[24] = 0.3128949768581953030780660470515785E-02;
3633 w[25] = 0.4468586167117141199592656650169745E-02;
3634 w[26] = 0.3558780448911060819562296812185439E-02;
3635 w[27] = 0.2654525745999437126651160840433368E-02;
3636 w[28] = 0.3674322205637929576474475378034387E-02;
3637 w[29] = 0.1556779548166703629723862770843712E-02;
3638 w[30] = 0.5659722156959053747811933867465999E-02;
3639 w[31] = 0.6559124062355508037637436719411665E-02;
3640 w[32] = 0.6124082302973937834781741237000250E-02;
3641 w[33] = 0.5432590387902965678105625419649959E-02;
3642 w[34] = 0.2310495765495803855211312734514998E-02;
3643 w[35] = 0.2708245744720212530179525275012375E-02;
3644 w[36] = 0.5124555916440916550164562572827943E-02;
3645 w[37] = 0.1936910902435187766318955933882164E-02;
3646 w[38] = 0.3646527070098702883931381699630589E-02;
3647 w[39] = 0.4424142630723912210455942532277462E-02;
3648 w[40] = 0.3276931385664301994721671259073124E-02;
3649 w[41] = 0.3264053064814834336425695074922234E-02;
3650 w[42] = 0.1135643135915063583134474479188575E-02;
3651 w[43] = 0.4223718148997970920874463333812100E-03;
3652 w[44] = 0.6555375990726206244644356106443562E-02;
3653 w[45] = 0.6606136053977267350584211383354891E-02;
3654 w[46] = 0.3644515347971302216660166325983147E-02;
3655 w[47] = 0.4871554113050847936724114713691689E-02;
3656 w[48] = 0.6679124914763547321632436773214387E-02;
3657 w[49] = 0.5616578389429630050906029716034673E-02;
3658 w[50] = 0.2275791117266683412259386884315207E-02;
3659 w[51] = 0.4243996397034961679236635195585269E-02;
3660 w[52] = 0.6959330566880718539247596084458503E-02;
3661 w[53] = 0.5290070422157258189378060153617274E-02;
3662 w[54] = 0.7976505080967100010251007180513698E-02;
3663 w[55] = 0.3238093010218998159411476040299402E-02;
3664 w[56] = 0.3304316395913585112942109463963793E-02;
3665 w[57] = 0.7632093580324891025483614928517932E-02;
3666 w[58] = 0.2926022905168081777270491914230688E-02;
3667 w[59] = 0.8413855313504570550721436602221883E-02;
3668 w[60] = 0.3057643153861432817013016432152174E-02;
3669 w[61] = 0.7441970831021575269373809133451851E-02;
3670 w[62] = 0.6989734119088538264792355031494924E-02;
3671 w[63] = 0.2596917279271723848812657753581774E-02;
3672 w[64] = 0.4228198393093499219382464343859585E-02;
3673 w[65] = 0.4122988694755634966269440274723658E-02;
3674 w[66] = 0.4679274136115308847400441526701599E-02;
3675 p[0] = Vector2d(0.0000000000000000000000000000000000,
3676 0.1148768930925886262151310465623686E+01);
3677 p[1] = Vector2d(-0.9497329452118762389747014470132091,
3678 -0.5587190843946788319800702097639321);
3679 p[2] = Vector2d(-0.8001862513364488071091260917428001,
3680 -0.5759982547513931308236141599939908);
3681 p[3] = Vector2d(-0.6910725775767816500425682030963931,
3682 -0.5739929781026895530093619240854897);
3683 p[4] = Vector2d(-0.7699895351147678691136080969564274E-01,
3684 -0.5742565796637987766332210625225684);
3685 p[5] = Vector2d(-0.9389616539760584684425697161489036,
3686 -0.5743118620654462339294955029963182);
3687 p[6] = Vector2d(-0.3318014560907163140854925533609147,
3688 -0.5764542892494308227983752102621023);
3689 p[7] = Vector2d(0.0000000000000000000000000000000000,
3690 0.1053661869059013126390801025098173E+01);
3691 p[8] = Vector2d(0.0000000000000000000000000000000000,
3692 0.9830543452221882010316337450645482);
3693 p[9] = Vector2d(-0.7536007546194699584282605909703006,
3694 -0.5642804373589460086506076815201640);
3695 p[10] = Vector2d(-0.6418838401483368830531210405780724,
3696 -0.5574445948250216759499998540402298);
3697 p[11] = Vector2d(-0.8569413055073822333863570460181954,
3698 -0.5353255763542691825073068820035573);
3699 p[12] = Vector2d(-0.4713099774418540641295127244304687,
3700 -0.5603801665927884443776809238750006);
3701 p[13] = Vector2d(-0.4587710901095560036744622028451049,
3702 -0.5740608434639325204622941212626694);
3703 p[14] = Vector2d(-0.3454684993219427932117970013334666,
3704 -0.5640573337469584267853102545754350);
3705 p[15] = Vector2d(-0.5784975768218464125847982734150031,
3706 -0.5726612537821012774116991313991636);
3707 p[16] = Vector2d(-0.9757061286693509772479542529554229,
3708 -0.5726626528471781321664603205600438);
3709 p[17] = Vector2d(-0.9062217459170026624185611454216153,
3710 -0.5592282822642103798482359755790968);
3711 p[18] = Vector2d(-0.6998855908781156060583940844630905,
3712 -0.5400889021600139741287112668257262);
3713 p[19] = Vector2d(0.0000000000000000000000000000000000,
3714 -0.5348248905002649083989599110468093);
3715 p[20] = Vector2d(-0.7828939494539899851949840039195377,
3716 -0.5378170138107226759506693144865885);
3717 p[21] = Vector2d(-0.5976618502172688281903349218410519,
3718 -0.4039918494468322341133479531414074);
3719 p[22] = Vector2d(0.0000000000000000000000000000000000,
3720 -0.5637079596777493822434797158628362);
3721 p[23] = Vector2d(-0.2089756393930555645731581562882102,
3722 -0.5718777342221263057688087793323300);
3723 p[24] = Vector2d(-0.7011575058845152681611414003803953,
3724 -0.5018890152406374639656521891734000);
3725 p[25] = Vector2d(-0.5064990519200558712677355544916721,
3726 -0.4685508460352765972480529422854412);
3727 p[26] = Vector2d(-0.6042610388710118243964657680731453,
3728 -0.5172633713942475966596304508297206);
3729 p[27] = Vector2d(-0.2426529067325121256109910016105379,
3730 -0.5497203595501590605031193106499199);
3731 p[28] = Vector2d(-0.4856256157498482835842484912328102,
3732 -0.5140166345967331496952227323818916);
3733 p[29] = Vector2d(0.0000000000000000000000000000000000,
3734 0.8893638105980905452621258664733128);
3735 p[30] = Vector2d(-0.7004374206319495265033410739625405E-01,
3736 -0.3645379523625655382701633893722455);
3737 p[31] = Vector2d(-0.3757615711643657550148681484974144,
3738 -0.3659340829551636496622119107012566);
3739 p[32] = Vector2d(-0.2919871922611893373479530841081256,
3740 -0.4252279065273847102094159009996268);
3741 p[33] = Vector2d(-0.9994102280758133535657317453111649E-01,
3742 -0.4635872615991260396686282785197555);
3743 p[34] = Vector2d(0.0000000000000000000000000000000000,
3744 -0.4940450202599493985592231391958893);
3745 p[35] = Vector2d(-0.7857254577834318544379545866687309,
3746 -0.4981606513359721550788104276334523);
3747 p[36] = Vector2d(-0.3721620253239425678261695592905290,
3748 -0.4858920787064337532175409440511338);
3749 p[37] = Vector2d(0.0000000000000000000000000000000000,
3750 0.7767824952808555984008258545514951);
3751 p[38] = Vector2d(-0.2824529226357365089257330994701188,
3752 -0.5197375697152384646052054170576424);
3753 p[39] = Vector2d(0.0000000000000000000000000000000000,
3754 0.3536374193876506397331972717972702);
3755 p[40] = Vector2d(0.0000000000000000000000000000000000,
3756 0.4760546324939761283315701222537493);
3757 p[41] = Vector2d(-0.3953463775800016380774481750278100,
3758 -0.5373555685767024547552789232104194);
3759 p[42] = Vector2d(-0.8361108176791535739269469385088765,
3760 -0.5627800449469781889100343115674311);
3761 p[43] = Vector2d(-0.8814365377132475290846046360400148,
3762 -0.5741358518948284514699798237494199);
3763 p[44] = Vector2d(-0.1406663437184717854538742687564680,
3764 -0.3143189178536211088756277347160222);
3765 p[45] = Vector2d(-0.4650987866606519008128443728604466,
3766 -0.3232690739017036811465453364851697);
3767 p[46] = Vector2d(-0.6964523670523666770018160868777266,
3768 -0.4508096294389419700119239124729038);
3769 p[47] = Vector2d(-0.4113816477062986076261766146150044,
3770 -0.4330349046242016037349211869278261);
3771 p[48] = Vector2d(-0.1610536446585760688667173579011407,
3772 -0.4081806944417965784076695553371667);
3773 p[49] = Vector2d(-0.5028509942935229229810541094112460,
3774 -0.4004602966965545264378386469600689);
3775 p[50] = Vector2d(-0.5448555197999273032450518681162338,
3776 -0.5480091160789313012122431861765678);
3777 p[51] = Vector2d(-0.6058936424345374593927006219197785,
3778 -0.4654469444625449906357368312464820);
3779 p[52] = Vector2d(-0.1081927332768446316060675202726035,
3780 -0.2408240697048009236946195102972083);
3781 p[53] = Vector2d(-0.2295037521073542228709062704046674,
3782 -0.4755237162067393099887086042912068);
3783 p[54] = Vector2d(-0.5898196614388808672207378844102958E-01,
3784 -0.1554487149960662937738036182401154);
3785 p[55] = Vector2d(0.0000000000000000000000000000000000,
3786 -0.3082651195390385495689250052901405);
3787 p[56] = Vector2d(0.0000000000000000000000000000000000,
3788 -0.4210560663521613009285800897713914);
3789 p[57] = Vector2d(-0.2324653629444445842929660552851472,
3790 -0.2549706395457159319661921698363317);
3791 p[58] = Vector2d(0.0000000000000000000000000000000000,
3792 0.6562159018607634589554760136404371);
3793 p[59] = Vector2d(-0.1819171108132164261481020014379600,
3794 -0.1645038009839102097914264096582779);
3795 p[60] = Vector2d(0.0000000000000000000000000000000000,
3796 -0.2390476568695849024278482393008327);
3797 p[61] = Vector2d(-0.2500032323171110666706981553600442,
3798 -0.3500539054481347352752143235181112);
3799 p[62] = Vector2d(-0.3375819432490318985102882332004112,
3800 -0.2855707593455760613475971357331510);
3801 p[63] = Vector2d(-0.1161841402458460505963725617476231,
3802 -0.5546162891229904937801707067639082);
3803 p[64] = Vector2d(0.0000000000000000000000000000000000,
3804 0.1352301011214314104583760897705539);
3805 p[65] = Vector2d(0.0000000000000000000000000000000000,
3806 -0.6333228349610746330155009819900319E-01);
3807 p[66] = Vector2d(-0.1381839808516535777015623012008872,
3808 -0.5177444417481954592613791928463002);
3809 break;
3810 case 45:
3811 // Order 45 (370 pts)
3812 // 1/6 data for 45-th order quadrature with 70 nodes.
3813 compressedSize = 70;
3814 fullSize = 370;
3815 w.resize(compressedSize);
3816 p.resize(compressedSize);
3817 w[0] = 0.25572163619669275347030002593120E-03;
3818 w[1] = 0.78130681960434454688570462017890E-04;
3819 w[2] = 0.63262191626397677725423132811818E-03;
3820 w[3] = 0.30286144471206534618188349487863E-03;
3821 w[4] = 0.17036087426692587176471947445535E-02;
3822 w[5] = 0.60607958666190953424951755070468E-03;
3823 w[6] = 0.20408229164689422092414467361640E-03;
3824 w[7] = 0.69282349702782943622699287812265E-03;
3825 w[8] = 0.53664270813767778699249041260574E-02;
3826 w[9] = 0.35893775549966510288707779886923E-02;
3827 w[10] = 0.21073089951061989088486797402699E-02;
3828 w[11] = 0.50245578513041966694332486164703E-02;
3829 w[12] = 0.42688044135583548301459101168732E-02;
3830 w[13] = 0.24807543972727024276437592523865E-02;
3831 w[14] = 0.30515471493979938480916234139891E-02;
3832 w[15] = 0.26894370339966747219062415099150E-02;
3833 w[16] = 0.28699920637932601309100432329669E-02;
3834 w[17] = 0.24144446935100309739631679872824E-02;
3835 w[18] = 0.31790657648418738011813407939271E-03;
3836 w[19] = 0.21416996150124135443929791578456E-02;
3837 w[20] = 0.10904105148236371090982266813776E-02;
3838 w[21] = 0.67218349746074238515473176347085E-02;
3839 w[22] = 0.29468389036919417335879077316037E-02;
3840 w[23] = 0.21585882255773739347679137982008E-02;
3841 w[24] = 0.11138001100223078504096300255199E-02;
3842 w[25] = 0.48321913046622933674773381791937E-02;
3843 w[26] = 0.18596190838124657102588736539343E-02;
3844 w[27] = 0.10060622517439881677085687475045E-02;
3845 w[28] = 0.52037982694409060390307613806173E-02;
3846 w[29] = 0.84864867119809259804133052600579E-03;
3847 w[30] = 0.44968639304153501776835069862992E-02;
3848 w[31] = 0.20461751558888743165348782978731E-02;
3849 w[32] = 0.82449377452441123159564369966813E-03;
3850 w[33] = 0.78856598384631329009983207242156E-02;
3851 w[34] = 0.40251042064986514657905454665344E-02;
3852 w[35] = 0.39434945748613745276711516127143E-02;
3853 w[36] = 0.45355232247853231691788919927919E-02;
3854 w[37] = 0.42553589471708845699257172105916E-02;
3855 w[38] = 0.87471074213636353080888215779404E-02;
3856 w[39] = 0.42047313560550802314674632374969E-02;
3857 w[40] = 0.81096371219963978174715168622098E-02;
3858 w[41] = 0.28740657651753097232044695511438E-02;
3859 w[42] = 0.63674671313288725555458273689796E-02;
3860 w[43] = 0.15410483366597558629474357722504E-02;
3861 w[44] = 0.71166660878827645405484492115954E-02;
3862 w[45] = 0.59662756163675577400108631767509E-02;
3863 w[46] = 0.20094402952755521669759725025506E-02;
3864 w[47] = 0.41552779846196640707863828648633E-02;
3865 w[48] = 0.78774367939671502747274922841800E-03;
3866 w[49] = 0.55555924933787222053248810519126E-02;
3867 w[50] = 0.43156090349809314605947306977033E-02;
3868 w[51] = 0.72575720454752208315574044802253E-02;
3869 w[52] = 0.30758989792726489058477276759038E-02;
3870 w[53] = 0.36691998090203889068724774157613E-02;
3871 w[54] = 0.33012791980584823111731500154720E-02;
3872 w[55] = 0.18827425749868378780107906069778E-02;
3873 w[56] = 0.52275015728844655248822057721928E-02;
3874 w[57] = 0.21360163256866199017108940749397E-02;
3875 w[58] = 0.38709086959575945186011536418464E-02;
3876 w[59] = 0.15225813039724090290900702612314E-02;
3877 w[60] = 0.63577625651425152836180330975545E-02;
3878 w[61] = 0.46584793041288563398185969929494E-02;
3879 w[62] = 0.20643564927291033331571316680505E-02;
3880 w[63] = 0.26933883371835105597852952390420E-02;
3881 w[64] = 0.48308600971180510860882325582472E-03;
3882 w[65] = 0.75143865994468267960236104870498E-03;
3883 w[66] = 0.11530302612959225729996460632643E-02;
3884 w[67] = 0.82341136968804111621935856491347E-03;
3885 w[68] = 0.40628665291981280528823925473427E-02;
3886 w[69] = 0.20108332814602822754605793773821E-02;
3887 p[0] = Vector2d(-0.96749796278768431752695073746986,
3888 -0.56471941069694844856954469658100);
3889 p[1] = Vector2d(-0.98943904955500689467050133968185,
3890 -0.57501200548013563442214533934183);
3891 p[2] = Vector2d(-0.85724783085411714050106137680522,
3892 -0.56546982796685102989871197087213);
3893 p[3] = Vector2d(-0.86009422327718343131869480185428,
3894 -0.57522024853914446403759310165459);
3895 p[4] = Vector2d(-0.54678180057409276098388610849729E-01,
3896 -0.56214268954647688248601400572909);
3897 p[5] = Vector2d(-0.49732663296837674567709737943128,
3898 -0.57443518202158385272046704794250);
3899 p[6] = Vector2d(-0.96239582473679000067551742403253,
3900 -0.57430537135662979697492111738520);
3901 p[7] = Vector2d(-0.27961070235673144034368245271631,
3902 -0.57479443137000535377443032432917);
3903 p[8] = Vector2d(-0.40402890296751249677645751975093,
3904 -0.31119792517448315773562579509789);
3905 p[9] = Vector2d(-0.29442839410535855309352484266892,
3906 -0.18309182975606309835985477370170);
3907 p[10] = Vector2d(0.00000000000000000000000000000000,
3908 0.70503710102613623076996776216914);
3909 p[11] = Vector2d(-0.43275119028613663914670241562698,
3910 -0.37954480542530077301394984603928);
3911 p[12] = Vector2d(-0.44044389245586822931301266425545,
3912 -0.43813658252872489137658216590349);
3913 p[13] = Vector2d(-0.61279883033232538372205093469042,
3914 -0.52431770764693138795353125680755);
3915 p[14] = Vector2d(0.00000000000000000000000000000000,
3916 0.43988432838417361094660056896797);
3917 p[15] = Vector2d(0.00000000000000000000000000000000,
3918 0.54818973150740130019484360782211);
3919 p[16] = Vector2d(-0.40788451897774191002745407172850,
3920 -0.53068517830945825690351866312342);
3921 p[17] = Vector2d(-0.69268856593560823389350549597623,
3922 -0.52054382897965220831059074194035);
3923 p[18] = Vector2d(0.00000000000000000000000000000000,
3924 -0.57563407311774753488214306675980);
3925 p[19] = Vector2d(-0.76676405679321178282204182266112,
3926 -0.52066524714991149578624581683571);
3927 p[20] = Vector2d(-0.88142494556619689489685668224494,
3928 -0.55109220346610688251784303249678);
3929 p[21] = Vector2d(-0.30788563677170870686746228513001,
3930 -0.28136936804129377678526074056198);
3931 p[22] = Vector2d(-0.51690806387591814992569974157337,
3932 -0.52770400117212017756160700268800);
3933 p[23] = Vector2d(-0.36522335396393722816446107730499,
3934 -0.55536072100117397125270524523176);
3935 p[24] = Vector2d(0.00000000000000000000000000000000,
3936 0.96341139552317968299064589061772);
3937 p[25] = Vector2d(-0.54085071215301248177693480228527,
3938 -0.42510034407525727010496874963780);
3939 p[26] = Vector2d(-0.83755436630162203436831978893993,
3940 -0.52414106878540363881135726636148);
3941 p[27] = Vector2d(-0.39400450916939910389752569327788,
3942 -0.57247532448088443486712017171738);
3943 p[28] = Vector2d(-0.33507526831923579205690213103223,
3944 -0.43906434358617035923094688491037);
3945 p[29] = Vector2d(-0.93207383259146302186264561603832,
3946 -0.55427727760435318351185124343632);
3947 p[30] = Vector2d(0.00000000000000000000000000000000,
3948 0.11840495907177995488840441336373);
3949 p[31] = Vector2d(-0.24725397282679600089234012793255,
3950 -0.56071879514252223550399956253037);
3951 p[32] = Vector2d(-0.59548295462739307737882050980714,
3952 -0.57301592049564293598812570618238);
3953 p[33] = Vector2d(-0.21190291318947065883045380978784,
3954 -0.22794222552637819257304990263196);
3955 p[34] = Vector2d(-0.48065853549210622637194679384859,
3956 -0.48610984701993063250622405741056);
3957 p[35] = Vector2d(-0.58563257009522274955669451569327,
3958 -0.48075527463104237978284559370263);
3959 p[36] = Vector2d(0.00000000000000000000000000000000,
3960 -0.11656336099177678980294986355914);
3961 p[37] = Vector2d(-0.36489263643259686426301607599478,
3962 -0.49380185173253747396240691815876);
3963 p[38] = Vector2d(-0.10662122389563936276094546991520,
3964 -0.17257418086954546445487547770085);
3965 p[39] = Vector2d(-0.63098646216816865329341790460037,
3966 -0.41685471639662622825619311565566);
3967 p[40] = Vector2d(-0.10951950034472544896736583276610,
3968 -0.27691779802002702321949855249422);
3969 p[41] = Vector2d(-0.14147353942031966219611357193348,
3970 -0.54643161443323592717327912197685);
3971 p[42] = Vector2d(-0.32195104149719150226124582347371,
3972 -0.36959650358697796007635862331191);
3973 p[43] = Vector2d(-0.79909003824949698793707745791143,
3974 -0.55312820158517175524163271806254);
3975 p[44] = Vector2d(-0.10582426030688274991436338221365,
3976 -0.37061655711808016877061539071484);
3977 p[45] = Vector2d(-0.11204595369159801121778549049946,
3978 -0.44989790809755280647980798667131);
3979 p[46] = Vector2d(-0.61200208537203979332083793516425,
3980 -0.55532421580891103975772368666732);
3981 p[47] = Vector2d(0.00000000000000000000000000000000,
3982 0.23698504908978765362861518397758);
3983 p[48] = Vector2d(-0.69310856751575954320818550365882,
3984 -0.57312340633371483370089991608323);
3985 p[49] = Vector2d(-0.52182537044957879662933711116161,
3986 -0.35237310557002597123601067611590);
3987 p[50] = Vector2d(0.00000000000000000000000000000000,
3988 -0.22563680509593199790438697496259);
3989 p[51] = Vector2d(-0.21330305926164315152747136574011,
3990 -0.32814170713377593953818022888866);
3991 p[52] = Vector2d(-0.76353151836479030982601065330425,
3992 -0.47540208897837744967251438098628);
3993 p[53] = Vector2d(-0.67884482751176626602735151717562,
3994 -0.47291221034981050011352430482453);
3995 p[54] = Vector2d(0.00000000000000000000000000000000,
3996 -0.41322179544695816391477350068005);
3997 p[55] = Vector2d(-0.71309872195622120220433316560504,
3998 -0.55444311333444255226437372754811);
3999 p[56] = Vector2d(-0.23702202213867019459513762948482,
4000 -0.47815353791871963047978697256372);
4001 p[57] = Vector2d(-0.49629255197942964513516871846921,
4002 -0.55841263605812562308032038707870);
4003 p[58] = Vector2d(0.00000000000000000000000000000000,
4004 -0.32398951274847599369007130866498);
4005 p[59] = Vector2d(0.00000000000000000000000000000000,
4006 0.00000000000000000000000000000000);
4007 p[60] = Vector2d(-0.21703474679150985775348937929931,
4008 -0.41120300953009715133424788540273);
4009 p[61] = Vector2d(-0.12791164301131482078856717349660,
4010 -0.50863906936384494919608030957095);
4011 p[62] = Vector2d(0.00000000000000000000000000000000,
4012 0.82709200615759949176722321241391);
4013 p[63] = Vector2d(0.00000000000000000000000000000000,
4014 -0.48378305160084771830753762022321);
4015 p[64] = Vector2d(-0.91918133084949909274827769251893,
4016 -0.57250910447612774904686920854490);
4017 p[65] = Vector2d(-0.78297196007811101735741996204489,
4018 -0.57273156232313427034131360506698);
4019 p[66] = Vector2d(-0.14461283051109006329463020198732,
4020 -0.57295167407019810131965208299179);
4021 p[67] = Vector2d(0.00000000000000000000000000000000,
4022 0.10366261458457849101902218371190E+01);
4023 p[68] = Vector2d(-0.26734836171405202882645924901152,
4024 -0.52758606695132708413591860408544);
4025 p[69] = Vector2d(0.00000000000000000000000000000000,
4026 -0.53231347309540434406510538720317);
4027 break;
4028 case 46:
4029 // Order 46 (385 pts)
4030 // 1/6 data for 46-th order quadrature with 73 nodes
4031 compressedSize = 73;
4032 fullSize = 385;
4033 w.resize(compressedSize);
4034 p.resize(compressedSize);
4035 w[0] = 0.99124219640185234470989336544560E-03;
4036 w[1] = 0.58614096060962842645487250845942E-02;
4037 w[2] = 0.56854522710881067383564039723551E-02;
4038 w[3] = 0.40625620962929522664929908767625E-02;
4039 w[4] = 0.45144310543124329374817531802773E-02;
4040 w[5] = 0.82088088596127442161702412322479E-03;
4041 w[6] = 0.14407828064975009824715695382818E-02;
4042 w[7] = 0.49783947422097924090273775604626E-02;
4043 w[8] = 0.88233634287350469355364288087551E-03;
4044 w[9] = 0.54934439723781169400547752605367E-02;
4045 w[10] = 0.33669998728502865263960539461844E-02;
4046 w[11] = 0.41903624852692709261378072222874E-02;
4047 w[12] = 0.17334944288966619414269024913119E-03;
4048 w[13] = 0.21658266572394104793711645431275E-02;
4049 w[14] = 0.60479958760001231392858259471875E-02;
4050 w[15] = 0.37756322991798540494330453652444E-02;
4051 w[16] = 0.62207318637145172822591743503502E-02;
4052 w[17] = 0.63286469162156006735700584173533E-02;
4053 w[18] = 0.29826294052344452485495959644700E-02;
4054 w[19] = 0.27059360522727772191971339645741E-02;
4055 w[20] = 0.42019177882590680248910223133272E-02;
4056 w[21] = 0.23015042374454809666901890875641E-02;
4057 w[22] = 0.18828680455513843606219753257332E-02;
4058 w[23] = 0.16690125284755693166888299832115E-02;
4059 w[24] = 0.20781252759372409612923667460460E-02;
4060 w[25] = 0.42317638788900425084313484715466E-02;
4061 w[26] = 0.71037803619188976533554128557295E-02;
4062 w[27] = 0.40307467270170115306414668368486E-02;
4063 w[28] = 0.30522630792848607523818935976199E-02;
4064 w[29] = 0.30218379230350043130768695564237E-02;
4065 w[30] = 0.96574870847494658906685789105858E-03;
4066 w[31] = 0.19000953811516758513791103731380E-02;
4067 w[32] = 0.21829276451288062623559064112356E-02;
4068 w[33] = 0.73314920756006735071788427464883E-02;
4069 w[34] = 0.35114723476610777601133441893946E-02;
4070 w[35] = 0.42611988684563371970090214166312E-02;
4071 w[36] = 0.94946505946997602521228000171027E-03;
4072 w[37] = 0.34509142883519454104321786989457E-02;
4073 w[38] = 0.39953322686081774873355011018233E-03;
4074 w[39] = 0.27638699271507528771931724478937E-02;
4075 w[40] = 0.42958741400998447897262423018398E-02;
4076 w[41] = 0.12717205008773558943510641599495E-02;
4077 w[42] = 0.42175860264852262389840957601069E-02;
4078 w[43] = 0.51628931464429952176360586413594E-03;
4079 w[44] = 0.82354400118366882096718549841164E-02;
4080 w[45] = 0.49763923773181868425612339373364E-02;
4081 w[46] = 0.30353430462986957072339039682070E-02;
4082 w[47] = 0.21010204804081172094616080287391E-02;
4083 w[48] = 0.16435606239301717159637463528701E-02;
4084 w[49] = 0.33633961349195807382580363482430E-02;
4085 w[50] = 0.35248211978801784050294560000961E-02;
4086 w[51] = 0.63942094224216359477928434782097E-03;
4087 w[52] = 0.84411673200603475386814798360338E-03;
4088 w[53] = 0.25146454557737862996260311126641E-02;
4089 w[54] = 0.39858155043769138905211326067054E-02;
4090 w[55] = 0.16047534667867884438074054540413E-02;
4091 w[56] = 0.15714180013667609459726436385097E-02;
4092 w[57] = 0.52508538616460060672169443423580E-02;
4093 w[58] = 0.27559932699033631806510178138074E-02;
4094 w[59] = 0.62831477470730771167890815345462E-02;
4095 w[60] = 0.74766335440469584911791085907174E-03;
4096 w[61] = 0.95979934038783073189952725536941E-03;
4097 w[62] = 0.39391900179981746067668114449212E-02;
4098 w[63] = 0.24830895862025367863318765158069E-02;
4099 w[64] = 0.57901415438434356432649769437734E-02;
4100 w[65] = 0.14553688489280240366387824569707E-02;
4101 w[66] = 0.89356029388787655872574198511159E-03;
4102 w[67] = 0.69941978699045079847532710585071E-03;
4103 w[68] = 0.42651637563773055644827276665484E-02;
4104 w[69] = 0.85219038226410641706285284477815E-03;
4105 w[70] = 0.29568676410262965948870235894266E-03;
4106 w[71] = 0.34392691859187999137468851025595E-03;
4107 w[72] = 0.92751764638845732676762722810718E-05;
4108 p[0] = Vector2d(0.00000000000000000000000000000000,
4109 -0.50516777744773643918214212704283);
4110 p[1] = Vector2d(-0.49937321552503064883212174284696E-01,
4111 -0.31040114421146323467610402783791);
4112 p[2] = Vector2d(-0.58248078099624925941940739070475E-01,
4113 -0.38139174632823850428680564625081);
4114 p[3] = Vector2d(-0.26752517246704927261140630108639,
4115 -0.45087881559146180751303614188317);
4116 p[4] = Vector2d(-0.43867813853252091527068916646400,
4117 -0.38716524171664208079585405722511);
4118 p[5] = Vector2d(0.00000000000000000000000000000000,
4119 0.98605740376479278980387642403069);
4120 p[6] = Vector2d(0.00000000000000000000000000000000,
4121 -0.53179537383682808117522612094495);
4122 p[7] = Vector2d(-0.23976542950787972353232922301146,
4123 -0.39923330820610651661243817919637);
4124 p[8] = Vector2d(-0.87549594799702810906321628660430,
4125 -0.55924165141919532170843072337147);
4126 p[9] = Vector2d(-0.41617075719872941659009240564594,
4127 -0.32183421694439171166523920516920);
4128 p[10] = Vector2d(-0.54326121142564273632982220217311,
4129 -0.48706522111890310455837522078968);
4130 p[11] = Vector2d(-0.49334938461621505385336504601822,
4131 -0.43864037323932895072146723439064);
4132 p[12] = Vector2d(-0.98141250190288778713761374334280,
4133 -0.57360768783134360345778307830250);
4134 p[13] = Vector2d(-0.65605474425672036542123830767580E-01,
4135 -0.55766758615272760217178705034940);
4136 p[14] = Vector2d(-0.16097654175693748178184943252463,
4137 -0.35256727255257676283714405416718);
4138 p[15] = Vector2d(-0.32922143422069145595634871480200,
4139 -0.49258841625772331573291383409050);
4140 p[16] = Vector2d(-0.23167087272607281619362898673378,
4141 -0.30296300817765420709023711921593);
4142 p[17] = Vector2d(-0.32291103943378255878422004279321,
4143 -0.27337520447762240864886970930914);
4144 p[18] = Vector2d(0.00000000000000000000000000000000,
4145 0.47471537268435794928244865456278);
4146 p[19] = Vector2d(0.00000000000000000000000000000000,
4147 0.58035693653140731668646213878644);
4148 p[20] = Vector2d(-0.79135174960542667310417788753063E-01,
4149 -0.48533267753756863676915233617052);
4150 p[21] = Vector2d(-0.79501562539103118019172171437469,
4151 -0.48917333384362543356099193333710);
4152 p[22] = Vector2d(-0.43520622836381734705078227452941,
4153 -0.55808744003610720897481815391397);
4154 p[23] = Vector2d(-0.64094592211243916763929215200559,
4155 -0.55694713731397587210816279802739);
4156 p[24] = Vector2d(-0.31732449637355273069551804224371,
4157 -0.55689799448943849551272945603815);
4158 p[25] = Vector2d(-0.19862767910431307864204482880642,
4159 -0.48859325854023263980525452506683);
4160 p[26] = Vector2d(-0.12403617126406631952361500698963,
4161 -0.26117953849550246736508673038521);
4162 p[27] = Vector2d(-0.43416110602837889188093965553450,
4163 -0.48398948921467227547423443087059);
4164 p[28] = Vector2d(-0.38864284496138298848368820422816,
4165 -0.52999026102693285956849576671356);
4166 p[29] = Vector2d(-0.49742313896156865617690862094750,
4167 -0.52583495263659649090093095454021);
4168 p[30] = Vector2d(-0.65506909060071668258633513435152E-01,
4169 -0.57355483546767908414270209478254);
4170 p[31] = Vector2d(-0.54046107587222447376898336935916,
4171 -0.55557204112323420607295734852969);
4172 p[32] = Vector2d(-0.19374430311448627449139164957895,
4173 -0.55739761697092742823342363228578);
4174 p[33] = Vector2d(-0.21797347584325374123660718055068,
4175 -0.21246252441995259506958905076888);
4176 p[34] = Vector2d(0.00000000000000000000000000000000,
4177 0.36139661177510802837475693850211);
4178 p[35] = Vector2d(0.00000000000000000000000000000000,
4179 0.11582303928093664478281478578489);
4180 p[36] = Vector2d(-0.19584532512471844401439133027531,
4181 -0.57359024620476593895960903232245);
4182 p[37] = Vector2d(-0.63168655681204850681563549874707,
4183 -0.48075999227146968059407118917937);
4184 p[38] = Vector2d(-0.90233030436033463513181070921112,
4185 -0.57371658547584443139058969065517);
4186 p[39] = Vector2d(-0.60642348255765936124722001014165,
4187 -0.52698535358924523864722032814143);
4188 p[40] = Vector2d(0.00000000000000000000000000000000,
4189 -0.11344215054773373022279305101957);
4190 p[41] = Vector2d(-0.80972189677200294143541375522637,
4191 -0.55728798211338842288776835769559);
4192 p[42] = Vector2d(-0.58209787586990173647256990544253,
4193 -0.42586101506138965898586810863037);
4194 p[43] = Vector2d(-0.83686548692344391617162664381025,
4195 -0.57375019535379531179673731067538);
4196 p[44] = Vector2d(-0.10243921312001814379582985121977,
4197 -0.16775873288237485180210443333935);
4198 p[45] = Vector2d(-0.52704295544169988915202539886442,
4199 -0.36463881029295166822714518212865);
4200 p[46] = Vector2d(-0.71820502549667139042476315500771,
4201 -0.48207876525200853027431004337685);
4202 p[47] = Vector2d(-0.78211800995999025958688636663884,
4203 -0.52747840671084502211591497419342);
4204 p[48] = Vector2d(-0.85578878348643964344785103905108,
4205 -0.53180888262584484912774717875574);
4206 p[49] = Vector2d(-0.26080043841003711556582180762586,
4207 -0.52832053993193271018974971786141);
4208 p[50] = Vector2d(-0.13061737230200327923828027514913,
4209 -0.52863298211428052722594126999808);
4210 p[51] = Vector2d(0.00000000000000000000000000000000,
4211 0.10481124042981156776747972952527E+01);
4212 p[52] = Vector2d(-0.44521414457403926773317497715994,
4213 -0.57371140175475285675686432495456);
4214 p[53] = Vector2d(-0.69780908932146560679288082039321,
4215 -0.52448444053919330486337551923650);
4216 p[54] = Vector2d(-0.66899206817769503267088297222047,
4217 -0.42468204214393876878868764552758);
4218 p[55] = Vector2d(0.00000000000000000000000000000000,
4219 0.86891668006615384049718425264833);
4220 p[56] = Vector2d(-0.72891023006189965013712326310293,
4221 -0.55555967179393677106465759845972);
4222 p[57] = Vector2d(-0.37024530768151522800672063932221,
4223 -0.43207267925178557569834574602145);
4224 p[58] = Vector2d(0.00000000000000000000000000000000,
4225 -0.44163717527386104241934308216581);
4226 p[59] = Vector2d(-0.32275953620672120686976828661180,
4227 -0.36120487686156226967665052805572);
4228 p[60] = Vector2d(-0.66470762672695841262017667178171,
4229 -0.57348736410677225487636160697833);
4230 p[61] = Vector2d(-0.32306760913108771241386793073162,
4231 -0.57339310967499044449513445911666);
4232 p[62] = Vector2d(0.00000000000000000000000000000000,
4233 0.23111663125846296538268627177402);
4234 p[63] = Vector2d(0.00000000000000000000000000000000,
4235 0.70977328433019335226869776419213);
4236 p[64] = Vector2d(-0.13683702205917657289237473998807,
4237 -0.43325524227150080894750839759120);
4238 p[65] = Vector2d(0.00000000000000000000000000000000,
4239 0.00000000000000000000000000000000);
4240 p[66] = Vector2d(-0.55947816484895364063783653823836,
4241 -0.57318116904317379016261023974720);
4242 p[67] = Vector2d(-0.75690025149534103382015622011351,
4243 -0.57316379219729504712466298101902);
4244 p[68] = Vector2d(0.00000000000000000000000000000000,
4245 -0.22231995200693748608468315007358);
4246 p[69] = Vector2d(-0.92282620861069337654871187945177,
4247 -0.55502955244943758240255763984666);
4248 p[70] = Vector2d(0.00000000000000000000000000000000,
4249 0.11100839542250144489340222725729E+01);
4250 p[71] = Vector2d(-0.94945587611159447764356569726866,
4251 -0.57286876316098503074069033064773);
4252 p[72] = Vector2d(0.00000000000000000000000000000000,
4253 0.11529930056431959330783131719851E+01);
4254 break;
4255 case 47:
4256 // Order 47 (399 pts)
4257 // 1/6 data for 47-th order quadrature with 75 nodes
4258 compressedSize = 75;
4259 fullSize = 399;
4260 w.resize(compressedSize);
4261 p.resize(compressedSize);
4262 w[0] = 0.28392039488336948310179896994156E-02;
4263 w[1] = 0.28003686921136784757704775202544E-03;
4264 w[2] = 0.29631179312114912348720642679995E-02;
4265 w[3] = 0.29809999165091017111077408004804E-02;
4266 w[4] = 0.30922285699322994610269077138085E-02;
4267 w[5] = 0.18460959404365729590181431759235E-02;
4268 w[6] = 0.12872508972618665537965952389878E-03;
4269 w[7] = 0.53151358172545237088027219688402E-03;
4270 w[8] = 0.81365776381310603141873461966954E-03;
4271 w[9] = 0.67825918391732126919840300376994E-02;
4272 w[10] = 0.59347976694683184123957244470317E-02;
4273 w[11] = 0.29716933960007650620912395217221E-02;
4274 w[12] = 0.25197407852253980023714633624274E-02;
4275 w[13] = 0.34300378782082533220752669591608E-02;
4276 w[14] = 0.19375775064770987319833820229901E-02;
4277 w[15] = 0.40484506484434265904918087580818E-02;
4278 w[16] = 0.13706927206297658573031048360427E-02;
4279 w[17] = 0.13592574447542674909853690088402E-02;
4280 w[18] = 0.57306616583541857081486048497868E-02;
4281 w[19] = 0.44642387582970339954371597118078E-02;
4282 w[20] = 0.59659697355700592641664212659135E-02;
4283 w[21] = 0.70669480375351196705523756968934E-02;
4284 w[22] = 0.65951783851403357899976425662021E-02;
4285 w[23] = 0.43628370961428043795773932668710E-03;
4286 w[24] = 0.25708114420998187417114840014581E-02;
4287 w[25] = 0.29876897524925467219456452120523E-02;
4288 w[26] = 0.28146519351937002714666355261641E-02;
4289 w[27] = 0.56303412225285581963359647583548E-02;
4290 w[28] = 0.32994230091903712639399659211836E-02;
4291 w[29] = 0.52297242356955663867894660142373E-02;
4292 w[30] = 0.36838585883225044871577564370140E-02;
4293 w[31] = 0.62387352632335361474645491103618E-02;
4294 w[32] = 0.41599811873456112930679098763696E-02;
4295 w[33] = 0.17194415272340685412270563416839E-02;
4296 w[34] = 0.31880794971043660654134886269745E-02;
4297 w[35] = 0.29952623965446603243032973139989E-02;
4298 w[36] = 0.16498839143299521006632241989400E-02;
4299 w[37] = 0.54403322566293624509259954994073E-02;
4300 w[38] = 0.67187331124535844522324030229043E-02;
4301 w[39] = 0.35502719665898356713324365688902E-02;
4302 w[40] = 0.24754883633746269136218392735926E-02;
4303 w[41] = 0.12031798815691044211245980202696E-02;
4304 w[42] = 0.26745453014501257900256883065918E-02;
4305 w[43] = 0.92265422131087006168788486251726E-03;
4306 w[44] = 0.36225684350627313248590370760841E-02;
4307 w[45] = 0.41984151428468319683013713735675E-02;
4308 w[46] = 0.32537703172163361922509390986613E-02;
4309 w[47] = 0.32030949415312354270600565161129E-02;
4310 w[48] = 0.33013381207853754356962435323648E-03;
4311 w[49] = 0.26754401539508943172771916930207E-02;
4312 w[50] = 0.22515566984635737794357729457255E-02;
4313 w[51] = 0.59591990991400095363194619176182E-02;
4314 w[52] = 0.52750078810945658157831528545914E-02;
4315 w[53] = 0.14733980267684772821583690219304E-02;
4316 w[54] = 0.21789567303724062164154906204501E-02;
4317 w[55] = 0.40463448470928386904872275539629E-02;
4318 w[56] = 0.63567301660162872416841128607952E-02;
4319 w[57] = 0.51309743375347267914123716886908E-02;
4320 w[58] = 0.21660630347248746919200853426513E-02;
4321 w[59] = 0.48851415391794237971659363471398E-02;
4322 w[60] = 0.18669504929149491480935586903022E-02;
4323 w[61] = 0.16964959923743123037357734611633E-02;
4324 w[62] = 0.20550364827452665795472373860314E-02;
4325 w[63] = 0.22311032805628682468829744578561E-02;
4326 w[64] = 0.49275841826369605327759276116059E-03;
4327 w[65] = 0.59592130393246716586641585985888E-03;
4328 w[66] = 0.98092238248484605161450626802125E-03;
4329 w[67] = 0.70060956245054444684115888791512E-03;
4330 w[68] = 0.23900824377240423856080438652344E-02;
4331 w[69] = 0.86547617602673961987264272734724E-03;
4332 w[70] = 0.47650966908745127742574114884819E-03;
4333 w[71] = 0.92916397453096297560102228965669E-03;
4334 w[72] = 0.79211481322285497661392660284067E-03;
4335 w[73] = 0.96420760486050977248262575972495E-03;
4336 w[74] = 0.58732212176584084295881188275225E-04;
4337 p[0] = Vector2d(0.00000000000000000000000000000000,
4338 -0.54885817731744273760020596669005E-01);
4339 p[1] = Vector2d(-0.96663742233248238790417222682341,
4340 -0.56535389802881173311914125214849);
4341 p[2] = Vector2d(-0.55421586636589606362103864964496,
4342 -0.43595283427447394280235040784487);
4343 p[3] = Vector2d(-0.61264177937586419170392244079506,
4344 -0.42805378386933825639851755340423);
4345 p[4] = Vector2d(0.00000000000000000000000000000000,
4346 0.10543613068074012401800062516168);
4347 p[5] = Vector2d(-0.79684085415639357802005234937672,
4348 -0.49023992523710045116805254072657);
4349 p[6] = Vector2d(-0.97128586885482393995603476389312,
4350 -0.57553352291636312128177900316235);
4351 p[7] = Vector2d(-0.93648904794849557432223757784636,
4352 -0.55999425828931551781156236993222);
4353 p[8] = Vector2d(0.00000000000000000000000000000000,
4354 0.97965289344360951855945358784080);
4355 p[9] = Vector2d(-0.53945273449791007382233425306043E-01,
4356 -0.22457611472173417062464887127478);
4357 p[10] = Vector2d(-0.10288337054182960580026068100176,
4358 -0.30138835771850783413933825956514);
4359 p[11] = Vector2d(0.00000000000000000000000000000000,
4360 -0.30545083028762013017508143191825);
4361 p[12] = Vector2d(-0.73248213764906407079372614104364,
4362 -0.48491296481354098368779641623556);
4363 p[13] = Vector2d(-0.68426811117296314009035410342951,
4364 -0.42961315180326213617646939344682);
4365 p[14] = Vector2d(0.00000000000000000000000000000000,
4366 -0.48945570323521847726831699400261);
4367 p[15] = Vector2d(-0.11259199413113422069683485156813,
4368 -0.48818031348608414902160574354381);
4369 p[16] = Vector2d(0.00000000000000000000000000000000,
4370 0.87905212764608203798450778699722);
4371 p[17] = Vector2d(-0.87984784872866267520426458088785,
4372 -0.52962597960343054791384488347290);
4373 p[18] = Vector2d(-0.23123809819906032963749193832378,
4374 -0.37175232717159904337497914590613);
4375 p[19] = Vector2d(-0.46889550912339936686025371549248,
4376 -0.43001929575977665531448764589702);
4377 p[20] = Vector2d(-0.11739233105524143722624127853417,
4378 -0.37274742279795921566656912482601);
4379 p[21] = Vector2d(-0.10992961573914339919329881126213,
4380 -0.13964656636214571305124861250780);
4381 p[22] = Vector2d(-0.16204920039724447196768977188244,
4382 -0.22098784556599346718036712899788);
4383 p[23] = Vector2d(0.00000000000000000000000000000000,
4384 0.10726698183580133144561578611120E+01);
4385 p[24] = Vector2d(-0.56792554236958167052318250024853,
4386 -0.52773439710278615552647179725219);
4387 p[25] = Vector2d(-0.36310842599378440119880946169444,
4388 -0.52763898191178919130394070654322);
4389 p[26] = Vector2d(-0.46903656396230065793902775073785,
4390 -0.52697835910181444235797110038292);
4391 p[27] = Vector2d(-0.33803039308384563532443360051617,
4392 -0.36648653111336403999140387539267);
4393 p[28] = Vector2d(-0.12603730801931571541242657552702,
4394 -0.52894478654176106374465306810932);
4395 p[29] = Vector2d(-0.44018371642510357125560685343620,
4396 -0.36579746792427023484428727362546);
4397 p[30] = Vector2d(0.00000000000000000000000000000000,
4398 0.24344631435472381136691814975209);
4399 p[31] = Vector2d(-0.20847045004866279897685055766704,
4400 -0.29950682881818228902768609651588);
4401 p[32] = Vector2d(-0.22797318474342093841199473155967,
4402 -0.48721710760636867571802595633338);
4403 p[33] = Vector2d(-0.81969334154814590110268106658620,
4404 -0.52883882159690679649594382117023);
4405 p[34] = Vector2d(-0.24826155062103396453153632431776,
4406 -0.52822203489770240968743803141947);
4407 p[35] = Vector2d(0.00000000000000000000000000000000,
4408 -0.37667277468535763242146591083137);
4409 p[36] = Vector2d(0.00000000000000000000000000000000,
4410 -0.52940747517054265256495756528320);
4411 p[37] = Vector2d(-0.12427095901943726054227825242898,
4412 -0.43564261027324440083824439259671);
4413 p[38] = Vector2d(-0.26070189438266727648706156956545,
4414 -0.20992358276179358318845033026211);
4415 p[39] = Vector2d(-0.56248468735254147016623038597020,
4416 -0.48651251086220905025316938031502);
4417 p[40] = Vector2d(-0.66071472756340151327417396690268,
4418 -0.52681305116132787774755531194190);
4419 p[41] = Vector2d(-0.82669686777638652733059075709640,
4420 -0.55712806420844685964294934833455);
4421 p[42] = Vector2d(0.00000000000000000000000000000000,
4422 0.59300989346090695220519494616955);
4423 p[43] = Vector2d(-0.88966644367593888841875654650478,
4424 -0.55768637399333409575145201865462);
4425 p[44] = Vector2d(0.00000000000000000000000000000000,
4426 -0.13980368807481589507662723468431);
4427 p[45] = Vector2d(-0.34452655299507786176572793372419,
4428 -0.48599981614691996341237894437611);
4429 p[46] = Vector2d(0.00000000000000000000000000000000,
4430 0.41840134446650681930079926553608);
4431 p[47] = Vector2d(-0.65494542725425338003061612036810,
4432 -0.48392971086401977797578179121298);
4433 p[48] = Vector2d(-0.93012524112428256602193934913638,
4434 -0.57383958132479530247972005058149);
4435 p[49] = Vector2d(0.00000000000000000000000000000000,
4436 -0.43820483878434062239610080574033);
4437 p[50] = Vector2d(-0.66785089424544850131055902834174E-01,
4438 -0.55764972588734990620416241805372);
4439 p[51] = Vector2d(-0.41597899021645575618793010361463,
4440 -0.29204731777806559769068818139152);
4441 p[52] = Vector2d(-0.24627705576691568442688105699070,
4442 -0.43448156854177003457395184650007);
4443 p[53] = Vector2d(-0.74973726200095632101264662967133,
4444 -0.55679770960375493548218080656374);
4445 p[54] = Vector2d(-0.74550793444160419487461731848021,
4446 -0.52714057557693106272153869645905);
4447 p[55] = Vector2d(-0.45718177804191062450002601345813,
4448 -0.48449632102066625308448025105653);
4449 p[56] = Vector2d(-0.31237691698758109357216488302742,
4450 -0.29161853684292105771088446811658);
4451 p[57] = Vector2d(-0.36244609664691797249270623595478,
4452 -0.43162684421663934029018768245950);
4453 p[58] = Vector2d(-0.32616646260370706311727811093441,
4454 -0.55705385397930168896131546768592);
4455 p[59] = Vector2d(-0.53784292001756868772192703221020,
4456 -0.36980700529962546759999533399443);
4457 p[60] = Vector2d(-0.55851533886826749020734059929719,
4458 -0.55689739217360638744554116629651);
4459 p[61] = Vector2d(-0.66003657270757138896159641690619,
4460 -0.55674192040916277835962510290896);
4461 p[62] = Vector2d(-0.44695335875345503292611264014711,
4462 -0.55682962368161313519342300149308);
4463 p[63] = Vector2d(-0.19870749346215743992312176932942,
4464 -0.55738068167530312022049700934039);
4465 p[64] = Vector2d(0.00000000000000000000000000000000,
4466 -0.57360394426682101478744320464048);
4467 p[65] = Vector2d(-0.80239000604949848720107906069622,
4468 -0.57345366439244921550225256351043);
4469 p[66] = Vector2d(-0.13449553992786908006612921402555,
4470 -0.57357771856416956297048773459624);
4471 p[67] = Vector2d(-0.71709284775736678626288283834417,
4472 -0.57343681973260213887282500888328);
4473 p[68] = Vector2d(0.00000000000000000000000000000000,
4474 0.72177614769930334697640951850176);
4475 p[69] = Vector2d(-0.51015724874008600140209964145657,
4476 -0.57345497171610556737079624481070);
4477 p[70] = Vector2d(-0.87380123018010155280547358512783,
4478 -0.57352108080599339578631706071895);
4479 p[71] = Vector2d(-0.39184908288647526514367672290932,
4480 -0.57345327364010964490936936951959);
4481 p[72] = Vector2d(-0.61920375973213862119233932838043,
4482 -0.57342883815744037296971547838128);
4483 p[73] = Vector2d(-0.26594843220537421747193002664485,
4484 -0.57351635407928127465513028410519);
4485 p[74] = Vector2d(0.00000000000000000000000000000000,
4486 0.11456762187114260229690797261936E+01);
4487 break;
4488 case 48:
4489 // Order 48 (423 pts)
4490 // 1/6 data for 48-th order quadrature with 78 nodes
4491 compressedSize = 78;
4492 fullSize = 423;
4493 w.resize(compressedSize);
4494 p.resize(compressedSize);
4495 w[0] = 0.28724228383926440358132669094431E-02;
4496 w[1] = 0.48957050616893594998704796075844E-02;
4497 w[2] = 0.39911404555441563247326888994291E-02;
4498 w[3] = 0.24308030008482638440637786996581E-02;
4499 w[4] = 0.26118640649911296596022610648512E-02;
4500 w[5] = 0.31286906542800058837727462589604E-04;
4501 w[6] = 0.20332915152781863944904896111764E-02;
4502 w[7] = 0.66223356940445958324045825592685E-02;
4503 w[8] = 0.51160504059193445246422419150521E-03;
4504 w[9] = 0.30177173547108975416398128210504E-02;
4505 w[10] = 0.11990187952425307052673011943937E-02;
4506 w[11] = 0.42890959944533322728503697326550E-02;
4507 w[12] = 0.79717712193663934454694268352422E-03;
4508 w[13] = 0.12706395119960644037665264677177E-02;
4509 w[14] = 0.17101518366924235948036417308251E-02;
4510 w[15] = 0.53225083732062422101624101122955E-02;
4511 w[16] = 0.17372337371711722394712009961994E-02;
4512 w[17] = 0.21611199292316263486466123355414E-02;
4513 w[18] = 0.11377184875874711922363652238389E-02;
4514 w[19] = 0.16661121086858607539082516065793E-02;
4515 w[20] = 0.36094495784172349233648222679572E-02;
4516 w[21] = 0.27840329081828913602050362052188E-02;
4517 w[22] = 0.21361914923668763800444433760586E-02;
4518 w[23] = 0.33445043203334672620049150278461E-02;
4519 w[24] = 0.81943436438923681400473901191879E-03;
4520 w[25] = 0.34768574704553087820389981511291E-02;
4521 w[26] = 0.42973989829883201728563607299665E-02;
4522 w[27] = 0.10074738530685819860190968486265E-02;
4523 w[28] = 0.67963853132839489825520666772776E-02;
4524 w[29] = 0.24418950258761731688970926384011E-02;
4525 w[30] = 0.30003987104228644513285637413249E-02;
4526 w[31] = 0.13513377123312761519271287419019E-02;
4527 w[32] = 0.43804618210474632627816499919792E-03;
4528 w[33] = 0.21250973370504179328882832139026E-03;
4529 w[34] = 0.16000160750664913858277795560230E-02;
4530 w[35] = 0.77557764662015942773935106392613E-03;
4531 w[36] = 0.22824221568478339384080338386456E-02;
4532 w[37] = 0.53299353429123467214358800295839E-02;
4533 w[38] = 0.56252060523420948976026938340142E-02;
4534 w[39] = 0.37291069649491200558250666737351E-02;
4535 w[40] = 0.36110603880506100367942684638801E-02;
4536 w[41] = 0.62253124627782549500409494910883E-03;
4537 w[42] = 0.18073877946168386060665209809962E-02;
4538 w[43] = 0.35738294519148201788176936416809E-02;
4539 w[44] = 0.55709543451833858845707308928538E-03;
4540 w[45] = 0.14035418542487990820244339057528E-02;
4541 w[46] = 0.18193421280631652518829218910697E-02;
4542 w[47] = 0.48148722968830507266694307528103E-02;
4543 w[48] = 0.68567519968462246935420491727088E-02;
4544 w[49] = 0.27283604140411874997242863942056E-03;
4545 w[50] = 0.25772891742822183465897792887364E-02;
4546 w[51] = 0.42231795512038431505510095354369E-02;
4547 w[52] = 0.41379361426485253173206620037588E-03;
4548 w[53] = 0.14194049785849893147037237210493E-02;
4549 w[54] = 0.47384283794563909094585996951638E-02;
4550 w[55] = 0.48183988814673540748933494366651E-02;
4551 w[56] = 0.28449733997703946018961571694460E-02;
4552 w[57] = 0.23703233612168300918965933073201E-02;
4553 w[58] = 0.71693912212143004097243510739388E-02;
4554 w[59] = 0.33905755163797439812159959659759E-02;
4555 w[60] = 0.18396767112155352948407062614303E-03;
4556 w[61] = 0.32855821621882024772752035184439E-02;
4557 w[62] = 0.15742892940985067189187325607995E-02;
4558 w[63] = 0.65179431778550066437367125243887E-02;
4559 w[64] = 0.27923790445661769025995748763738E-02;
4560 w[65] = 0.58407401612327712992571037001792E-03;
4561 w[66] = 0.66530250807598734354239162260138E-02;
4562 w[67] = 0.79700265904184871610937261087522E-03;
4563 w[68] = 0.70512484634479567571833106295500E-02;
4564 w[69] = 0.31132194356885414154457811749791E-02;
4565 w[70] = 0.83725477449697097193875164230539E-03;
4566 w[71] = 0.54179864271945087535990988436145E-02;
4567 w[72] = 0.62428841652845444519001502321154E-02;
4568 w[73] = 0.20885623095275804800293379629396E-02;
4569 w[74] = 0.60569245588953023785142088907429E-02;
4570 w[75] = 0.85221050803831089796247049975189E-03;
4571 w[76] = 0.30928913568865192645879463322352E-03;
4572 w[77] = 0.31569151523254203691074928546368E-03;
4573 p[0] = Vector2d(0.00000000000000000000000000000000,
4574 -0.49852320663764975836658715881651E-01);
4575 p[1] = Vector2d(-0.45164772650050731682068089766497E-01,
4576 -0.20374579426251387086718546231968);
4577 p[2] = Vector2d(-0.27473470409127158336658796332646,
4578 -0.38976656878879817546660173662947);
4579 p[3] = Vector2d(-0.32601858877976093934124855013368,
4580 -0.51725511617300734515148746244054);
4581 p[4] = Vector2d(0.00000000000000000000000000000000,
4582 -0.13890333151925469882109904912617);
4583 p[5] = Vector2d(-0.99490990154620226158720849494482,
4584 -0.57319686228940163286673996687428);
4585 p[6] = Vector2d(-0.32465958030201586136906707429503,
4586 -0.54414549714157621787319018880544);
4587 p[7] = Vector2d(-0.84012618143751376567667347453966E-01,
4588 -0.98677996812038879657787374589079E-01);
4589 p[8] = Vector2d(-0.68050562893254251474678136205112,
4590 -0.57450768223436031703493865457993);
4591 p[9] = Vector2d(-0.55412485218420527438896911621850,
4592 -0.48499178896207101508248204799370);
4593 p[10] = Vector2d(0.00000000000000000000000000000000,
4594 -0.54041966741780855485936015475384);
4595 p[11] = Vector2d(-0.33038679441849822366871793787534,
4596 -0.43371331113028682857825644993170);
4597 p[12] = Vector2d(0.00000000000000000000000000000000,
4598 0.98700017550217162316302585294308);
4599 p[13] = Vector2d(0.00000000000000000000000000000000,
4600 0.87701971609267538163224358348922);
4601 p[14] = Vector2d(-0.72722633108802342397155155606768,
4602 -0.53696054670467352362246242651342);
4603 p[15] = Vector2d(-0.23810041415405527504557089888405,
4604 -0.33709214277689455129828382991245);
4605 p[16] = Vector2d(0.00000000000000000000000000000000,
4606 -0.50491682572683646092981172306082);
4607 p[17] = Vector2d(0.00000000000000000000000000000000,
4608 -0.46179620632104391793324280621199);
4609 p[18] = Vector2d(-0.76837647852811595992367941824138,
4610 -0.55909334619049486411241922583373);
4611 p[19] = Vector2d(-0.39481835688065754917935872570598,
4612 -0.55942830548805619506092139545342);
4613 p[20] = Vector2d(-0.35808200103666623461734551126576,
4614 -0.48419731762996786439303530812544);
4615 p[21] = Vector2d(-0.70743720676693189266156017090859,
4616 -0.45652178474401761799466199325239);
4617 p[22] = Vector2d(-0.97010789493490351143718625991234E-01,
4618 -0.55049949314164685016946873588734);
4619 p[23] = Vector2d(-0.22510606888237807083444019159841,
4620 -0.50872207349408828698853958022725);
4621 p[24] = Vector2d(-0.89142246128908740222364354150092,
4622 -0.55689353511683902690020296113291);
4623 p[25] = Vector2d(-0.11231501558393124954330372677768,
4624 -0.51622984675368820169968858727220);
4625 p[26] = Vector2d(-0.24247749198133974832677108412529,
4626 -0.46526044009365978341053361548518);
4627 p[27] = Vector2d(-0.83724014027395502676007507010710,
4628 -0.55929784568894692081450974794614);
4629 p[28] = Vector2d(-0.13318347049091707247482863126316,
4630 -0.18399301337776744727308882527111);
4631 p[29] = Vector2d(-0.72689161196677377776022254195996,
4632 -0.50260381043912900882119219273873);
4633 p[30] = Vector2d(-0.64034267680893964392473256901576,
4634 -0.49252317057731876434255148922154);
4635 p[31] = Vector2d(-0.68321717220184284728388581404162,
4636 -0.56097451023259417695151253611004);
4637 p[32] = Vector2d(-0.83839805257724055363465708705911,
4638 -0.57406923516192628548625680508365);
4639 p[33] = Vector2d(0.00000000000000000000000000000000,
4640 0.11141547030632238086479160754135E+01);
4641 p[34] = Vector2d(-0.59225145333921036546705814041242,
4642 -0.55651660365661076171303549417789);
4643 p[35] = Vector2d(-0.36426477146050005896562735592106,
4644 -0.57405163423686233358717892168751);
4645 p[36] = Vector2d(-0.64466682188081663940279587210100,
4646 -0.53196149015755170375584796642517);
4647 p[37] = Vector2d(-0.18326940651609773666251309353216,
4648 -0.41372183327215987269752027182733);
4649 p[38] = Vector2d(-0.64024696057757473624745250904559E-01,
4650 -0.41051333470792190295409628981832);
4651 p[39] = Vector2d(-0.46015923358724641317739926182026,
4652 -0.48470232197639096590316447145498);
4653 p[40] = Vector2d(-0.62850907517187595403082243802386,
4654 -0.43960983180755192818725222543803);
4655 p[41] = Vector2d(-0.93449067868256757675651398163129,
4656 -0.55824444146228311378010225156953);
4657 p[42] = Vector2d(-0.49718634910646430159295459732375,
4658 -0.55624309454314381245877434541105);
4659 p[43] = Vector2d(0.00000000000000000000000000000000,
4660 0.22685299762337478108310204018125);
4661 p[44] = Vector2d(-0.76477834359061656278550903563318,
4662 -0.57369006779153222884968212905112);
4663 p[45] = Vector2d(-0.86560964360183956199073793066554,
4664 -0.53020559443910391226024877057732);
4665 p[46] = Vector2d(-0.80347270468749417960796064245399,
4666 -0.53187309456333599368352110014477);
4667 p[47] = Vector2d(-0.12053965097836346999960081953107,
4668 -0.46914022619776744572721261875474);
4669 p[48] = Vector2d(-0.61721699934178919899314762692642E-01,
4670 -0.27636104453730623282084492698214);
4671 p[49] = Vector2d(-0.94600280954375241238529550780606,
4672 -0.57380107877191676765658650529341);
4673 p[50] = Vector2d(-0.20973158081832926767896749904045,
4674 -0.54463175727474219404497175590015);
4675 p[51] = Vector2d(-0.53588808819149533597940929507170,
4676 -0.43425004501953381185987824757432);
4677 p[52] = Vector2d(-0.89909074000354327737143587267527,
4678 -0.57340126819590793499251738305266);
4679 p[53] = Vector2d(-0.14226265688360420003675348239732,
4680 -0.56908448605073339254550804081805);
4681 p[54] = Vector2d(-0.58106813824728181662821714714662,
4682 -0.37608188392552828091032473401365);
4683 p[55] = Vector2d(-0.43230361497566010923448640099201,
4684 -0.42921616619109235112346077631242);
4685 p[56] = Vector2d(-0.54615078926623396814736475110416,
4686 -0.52577535892830112703001792903022);
4687 p[57] = Vector2d(-0.79506240679562089185948571554395,
4688 -0.49030858978345230828266827255943);
4689 p[58] = Vector2d(-0.25184574558858296991088593038170,
4690 -0.20270732080067755549950587581872);
4691 p[59] = Vector2d(0.00000000000000000000000000000000,
4692 0.41636790443295163120820765376968);
4693 p[60] = Vector2d(-0.97712556750745254153359066235566,
4694 -0.57333501569761494464853713844014);
4695 p[61] = Vector2d(0.00000000000000000000000000000000,
4696 -0.34742627962761774860725212273245);
4697 p[62] = Vector2d(-0.26607245123060807138658601473649,
4698 -0.56621285723554951319184951691942);
4699 p[63] = Vector2d(-0.12724847472110119640623202948370,
4700 -0.34679505484408231261353167027046);
4701 p[64] = Vector2d(0.00000000000000000000000000000000,
4702 0.60078752240377683267001545331127);
4703 p[65] = Vector2d(0.00000000000000000000000000000000,
4704 0.10574851563475822963976796065719E+01);
4705 p[66] = Vector2d(-0.30727380337735402963322838421622,
4706 -0.28592841602633954760583222174030);
4707 p[67] = Vector2d(-0.58589180790116215572933101719513,
4708 -0.57323206949747451195434362599767);
4709 p[68] = Vector2d(-0.17860222460692283965662443246084,
4710 -0.26683655423740594471342520417422);
4711 p[69] = Vector2d(-0.43751879768235861761962323575309,
4712 -0.52805029804391126423728142010436);
4713 p[70] = Vector2d(-0.48056445088740205085548935531431,
4714 -0.57349391506508209544925398288834);
4715 p[71] = Vector2d(-0.48038610507302961545832372554540,
4716 -0.36887306566949226352897864054757);
4717 p[72] = Vector2d(-0.41788380954447150618204025259598,
4718 -0.29271463211375329134525196252490);
4719 p[73] = Vector2d(0.00000000000000000000000000000000,
4720 0.78041430345998157811281878081512);
4721 p[74] = Vector2d(-0.36944533995870546586326908358313,
4722 -0.36277089606217184970553665226938);
4723 p[75] = Vector2d(0.00000000000000000000000000000000,
4724 -0.56756638958566119435478459622114);
4725 p[76] = Vector2d(-0.72247744117483068359801481921580E-01,
4726 -0.57707312306547335610792852443827);
4727 p[77] = Vector2d(-0.23245589269716346191888401881117,
4728 -0.57716232573911703125929908613260);
4729 break;
4730 case 49:
4731 // Order 49 (435 pts)
4732 // 1/6 data for 49-th order quadrature with 82 nodes.
4733 compressedSize = 82;
4734 fullSize = 435;
4735 w.resize(compressedSize);
4736 p.resize(compressedSize);
4737 w[0] = 0.19977337356156323426514692597692E-02;
4738 w[1] = 0.12687431336688509410843998391028E-02;
4739 w[2] = 0.37027790592768656352817137656994E-03;
4740 w[3] = 0.21253790361811728001071706475289E-02;
4741 w[4] = 0.61674141211813126477419858184194E-02;
4742 w[5] = 0.59458894649162451804820476952354E-02;
4743 w[6] = 0.10391008318227642432772429159470E-02;
4744 w[7] = 0.56119170151050531358685160135421E-03;
4745 w[8] = 0.42730773131837205407382425934036E-02;
4746 w[9] = 0.25866812740239429576418384733441E-02;
4747 w[10] = 0.35683371351746158116269879423198E-02;
4748 w[11] = 0.21488306719133579150142490513559E-02;
4749 w[12] = 0.63043916628928240061101412753203E-03;
4750 w[13] = 0.34221501813368796618088746749049E-02;
4751 w[14] = 0.40453583847800237927752889872429E-02;
4752 w[15] = 0.39321920602677497806251470735232E-02;
4753 w[16] = 0.32874602491734720571848038384576E-02;
4754 w[17] = 0.91150147690764261925763826535926E-03;
4755 w[18] = 0.29798409559495009891833524489293E-02;
4756 w[19] = 0.28537247963181996687266646898085E-02;
4757 w[20] = 0.16586934600140952309818245115017E-02;
4758 w[21] = 0.39735960174484489743453114770676E-03;
4759 w[22] = 0.26834215475038735697529994323634E-02;
4760 w[23] = 0.60034335233209257724964806936636E-02;
4761 w[24] = 0.34785715040962553678932832030749E-02;
4762 w[25] = 0.14890850096270047389519178852968E-02;
4763 w[26] = 0.27754331998416555843944854095898E-02;
4764 w[27] = 0.77107891245567947444663501212492E-03;
4765 w[28] = 0.33454955156733941459045360333934E-02;
4766 w[29] = 0.20541529314760399047675461654284E-02;
4767 w[30] = 0.60945428068954117127542229222828E-02;
4768 w[31] = 0.15330127901593561414098039723028E-02;
4769 w[32] = 0.19148445202446191652573211720709E-03;
4770 w[33] = 0.25108686300732809342950959448632E-02;
4771 w[34] = 0.47651564692312408698835096361491E-02;
4772 w[35] = 0.16240239076313059324667223643076E-02;
4773 w[36] = 0.79583774233079393748085634291181E-03;
4774 w[37] = 0.58849276406227123448983694298859E-02;
4775 w[38] = 0.56877909758060890782274443197947E-02;
4776 w[39] = 0.15575024842219775881243735068023E-02;
4777 w[40] = 0.16105816942358188547189746892777E-02;
4778 w[41] = 0.22502840437046037026372796523992E-02;
4779 w[42] = 0.20084168279399749118935611766491E-02;
4780 w[43] = 0.36230228738241653515806389685717E-02;
4781 w[44] = 0.57423299789474669137183051012294E-02;
4782 w[45] = 0.12717030464342037309770710927106E-02;
4783 w[46] = 0.49768031950563028511667619620966E-02;
4784 w[47] = 0.79434188752183035723354695167328E-03;
4785 w[48] = 0.56001107097121521065256828080448E-02;
4786 w[49] = 0.63817130650436342049602870849597E-02;
4787 w[50] = 0.39817711545630631406587510631784E-02;
4788 w[51] = 0.24087654021930613127612933755615E-02;
4789 w[52] = 0.30418302126603186311999594057584E-02;
4790 w[53] = 0.30238355103351015420463768411162E-02;
4791 w[54] = 0.10183025304896036412292516963758E-02;
4792 w[55] = 0.14596718890771209157014286627469E-02;
4793 w[56] = 0.77875785285251059052497877539906E-03;
4794 w[57] = 0.61372358148713085688282377971969E-03;
4795 w[58] = 0.66600519529457007903113678794478E-03;
4796 w[59] = 0.11077863336612002623045984707220E-02;
4797 w[60] = 0.20349205397800009217113402131491E-02;
4798 w[61] = 0.29455943798576609790138160596699E-03;
4799 w[62] = 0.38905584979980386058934940581983E-02;
4800 w[63] = 0.18807248411144958164960089336880E-02;
4801 w[64] = 0.28241228846436807197405817934160E-02;
4802 w[65] = 0.47178192432261121880126220071801E-02;
4803 w[66] = 0.35306465870984426703979784223797E-02;
4804 w[67] = 0.71762038572211377060639788033076E-02;
4805 w[68] = 0.57665964607857117382384704479685E-02;
4806 w[69] = 0.40426442422356089657524686097409E-03;
4807 w[70] = 0.23026478604784709918110573713097E-02;
4808 w[71] = 0.42616806207016132242718913366787E-02;
4809 w[72] = 0.26058395691911076244778888792290E-02;
4810 w[73] = 0.54745447246951839739615843265097E-03;
4811 w[74] = 0.35299796865257136122691199548024E-02;
4812 w[75] = 0.40316437640725431828744499609816E-02;
4813 w[76] = 0.42516711921106531477513916666353E-04;
4814 w[77] = 0.54029876938551540928891230894040E-02;
4815 w[78] = 0.14060391641463104982472631429696E-02;
4816 w[79] = 0.18730351088069459968645316638647E-03;
4817 w[80] = 0.51889848051624996463295221022567E-03;
4818 w[81] = 0.21130683065318872697498930840672E-03;
4819 p[0] = Vector2d(-0.61057213632871754777556178617093,
4820 -0.50805411191391851523789864972562);
4821 p[1] = Vector2d(-0.21740746844089577030217736555995,
4822 -0.56234652242839114914654701128374);
4823 p[2] = Vector2d(-0.74657702398083537596708720880628,
4824 -0.57509668203848429431038797517268);
4825 p[3] = Vector2d(0.00000000000000000000000000000000,
4826 0.53679828476119178289324025007759);
4827 p[4] = Vector2d(-0.18652159062065316394708803878930,
4828 -0.15190921808712561549658969393441);
4829 p[5] = Vector2d(-0.88761825157466116267033225250300E-01,
4830 -0.14305301576398435281760117117876);
4831 p[6] = Vector2d(0.00000000000000000000000000000000,
4832 0.90237311257497758569938319452643);
4833 p[7] = Vector2d(-0.48639838036980400557648362218933,
4834 -0.57473532714413321696267840291545);
4835 p[8] = Vector2d(-0.37022598751812238568894342780029,
4836 -0.38858551748024275977250958169595);
4837 p[9] = Vector2d(0.00000000000000000000000000000000,
4838 -0.33135871726650782696587314579878);
4839 p[10] = Vector2d(-0.55660589033253986016354022616185,
4840 -0.40073527072101794974371578083120);
4841 p[11] = Vector2d(-0.23093959523489028823297605424361,
4842 -0.54310366079605492812547381587275);
4843 p[12] = Vector2d(-0.12830890012394010891659450444936,
4844 -0.57500475146778529513914433479050);
4845 p[13] = Vector2d(-0.63417236502579470761226709395580,
4846 -0.42554839571165244196875402232376);
4847 p[14] = Vector2d(-0.36128311243234453339020706484578,
4848 -0.44153050231697094128484412680053);
4849 p[15] = Vector2d(-0.24458985250678919382029730465663,
4850 -0.46866793891867074878457016677705);
4851 p[16] = Vector2d(0.00000000000000000000000000000000,
4852 -0.16570704844176947394320757260228);
4853 p[17] = Vector2d(-0.76440468282859730372500804391987,
4854 -0.56504278301868705651681263115196);
4855 p[18] = Vector2d(-0.43881396034292203335647632860058,
4856 -0.50652589028067622329647801023762);
4857 p[19] = Vector2d(-0.29031421623299546923298899864555,
4858 -0.52106748079988378853417843443633);
4859 p[20] = Vector2d(-0.11022106138867966101881171838643,
4860 -0.56223112097793733954156361308556);
4861 p[21] = Vector2d(-0.82697827385445359866410833664403,
4862 -0.57462270717388530892162623588585);
4863 p[22] = Vector2d(0.00000000000000000000000000000000,
4864 0.45932243496595672349082629601422);
4865 p[23] = Vector2d(-0.22649962118473459738073399292893,
4866 -0.22828624984036516968491608086478);
4867 p[24] = Vector2d(-0.34409570678022498852315838982214,
4868 -0.48829139755087173802506438507515);
4869 p[25] = Vector2d(-0.75185639971866986636651769262636,
4870 -0.54439150942275613023935368560183);
4871 p[26] = Vector2d(-0.53461908075309836850101213437195,
4872 -0.50670327829951912727787293959844);
4873 p[27] = Vector2d(0.00000000000000000000000000000000,
4874 0.99438807073001743653229293189603);
4875 p[28] = Vector2d(0.00000000000000000000000000000000,
4876 0.12536668432105287250159280886041);
4877 p[29] = Vector2d(-0.67842852868361945529379240804657,
4878 -0.52796151262664728760570958076544);
4879 p[30] = Vector2d(-0.98128049170705739598259613001700E-01,
4880 -0.31111906291100543384916079312981);
4881 p[31] = Vector2d(-0.81198101881640100102568599136862,
4882 -0.53473260414787373087982349525345);
4883 p[32] = Vector2d(0.00000000000000000000000000000000,
4884 0.11171423268477136498973199720050E+01);
4885 p[33] = Vector2d(-0.38816954030832809949204934487173,
4886 -0.53658558406526073583077834124086);
4887 p[34] = Vector2d(-0.51214253977457617025282281965566,
4888 -0.33881791091529569834478815622842);
4889 p[35] = Vector2d(0.00000000000000000000000000000000,
4890 0.79840597283762599147168675735209);
4891 p[36] = Vector2d(-0.89378361429922217289759901811815,
4892 -0.55834047448625304405740354168855);
4893 p[37] = Vector2d(-0.20438937977062137351398598793386,
4894 -0.29941559804457568276715427694835);
4895 p[38] = Vector2d(-0.29077462427214531822794640367537,
4896 -0.34707538263885206082450977546688);
4897 p[39] = Vector2d(-0.45530327016209634617378737911148,
4898 -0.56218624883920679775484228539619);
4899 p[40] = Vector2d(0.00000000000000000000000000000000,
4900 -0.52252588465952329020710730711399);
4901 p[41] = Vector2d(-0.50049811961058966626537547990924,
4902 -0.54142101949433652578422629700355);
4903 p[42] = Vector2d(-0.59653316717651885600358396085261,
4904 -0.54312444348452881138890792354339);
4905 p[43] = Vector2d(-0.18241222915476293063943966605377,
4906 -0.50297724458337249430337647089853);
4907 p[44] = Vector2d(-0.17504275018488792290118428567192,
4908 -0.37315461111231110867297450418990);
4909 p[45] = Vector2d(-0.87027029250770403203069802318185,
4910 -0.53339994853211595567498621491810);
4911 p[46] = Vector2d(-0.25906638561252602666842654816923,
4912 -0.41535262741815023278680392917739);
4913 p[47] = Vector2d(-0.25389417516222969869856982682409,
4914 -0.57390850498838587799366720382219);
4915 p[48] = Vector2d(-0.63924734492284199961203241117988E-01,
4916 -0.38909332692463915420277441179215);
4917 p[49] = Vector2d(-0.32336677856616207857128015137548,
4918 -0.27441054007776771321877791597838);
4919 p[50] = Vector2d(-0.45933867955078441295151086540347,
4920 -0.46136190485467458900510307928511);
4921 p[51] = Vector2d(-0.73910550014397140051390907061818,
4922 -0.50637232744855604509324845495701);
4923 p[52] = Vector2d(-0.11606977913379114755850687691385,
4924 -0.53497319519919178836708838160351);
4925 p[53] = Vector2d(-0.65577583679224655444244929369890,
4926 -0.47916361999904640273373623874426);
4927 p[54] = Vector2d(-0.83552616064107205337213906126893,
4928 -0.56063167758821432142013730704571);
4929 p[55] = Vector2d(-0.67748842104198500405815554991182,
4930 -0.55812525411705885484285303911831);
4931 p[56] = Vector2d(-0.37231932331276101094567014835110,
4932 -0.57393107655513157172595640909445);
4933 p[57] = Vector2d(-0.93676060044306703638748111096616,
4934 -0.55819574918551185878858176169832);
4935 p[58] = Vector2d(-0.66619173394165069756523303173151,
4936 -0.57308501713419226805469571310331);
4937 p[59] = Vector2d(0.00000000000000000000000000000000,
4938 -0.55400636586589158164274508913012);
4939 p[60] = Vector2d(-0.80515347766473982936691157759254,
4940 -0.49699174948588019440752603403060);
4941 p[61] = Vector2d(-0.94025356560109772303978498971830,
4942 -0.57375002851113489476058869278243);
4943 p[62] = Vector2d(-0.55800138185704783040837528977761,
4944 -0.45895888627009702143807907926916);
4945 p[63] = Vector2d(-0.33515583932564482010856277294034,
4946 -0.55885836769979743482431579044375);
4947 p[64] = Vector2d(-0.72304850966873315163769622529180,
4948 -0.45754555590751383576718554173853);
4949 p[65] = Vector2d(-0.46826261407944706264024812254397,
4950 -0.40298677651135379575927050935698);
4951 p[66] = Vector2d(0.00000000000000000000000000000000,
4952 -0.25079797310498966721630314170512);
4953 p[67] = Vector2d(-0.11247883641677583766316101770443,
4954 -0.22883057799614009961932750289238);
4955 p[68] = Vector2d(-0.41172923406071229009367773338534,
4956 -0.32888195428957532835127033424983);
4957 p[69] = Vector2d(-0.89091288563351724918827721227521,
4958 -0.57366938316409890583305452094740);
4959 p[70] = Vector2d(0.00000000000000000000000000000000,
4960 0.70290670754518056713385541693329);
4961 p[71] = Vector2d(-0.70999559860544022018934170422900E-01,
4962 -0.48828388229492647796479685307693);
4963 p[72] = Vector2d(0.00000000000000000000000000000000,
4964 -0.44375651708543360206049930519612);
4965 p[73] = Vector2d(0.00000000000000000000000000000000,
4966 0.10591815381653453969290932401725E+01);
4967 p[74] = Vector2d(0.00000000000000000000000000000000,
4968 0.35157474889658538587578359215421);
4969 p[75] = Vector2d(0.00000000000000000000000000000000,
4970 -0.63699436116132156076951185465648E-01);
4971 p[76] = Vector2d(0.00000000000000000000000000000000,
4972 0.11470364861459781695524661983521E+01);
4973 p[77] = Vector2d(-0.13798316432331004899182819510688,
4974 -0.44198593821724404560352142656255);
4975 p[78] = Vector2d(-0.57133871576000905289179002614761,
4976 -0.56609726595635302503750770819831);
4977 p[79] = Vector2d(-0.97448997895894366957466437859893,
4978 -0.57372975226826569608034581860957);
4979 p[80] = Vector2d(0.00000000000000000000000000000000,
4980 -0.57315719828247563816289202130035);
4981 p[81] = Vector2d(-0.58709342896187276256324804582086,
4982 -0.57710801847006901827791738420396);
4983 break;
4984 case 50:
4985 // Order 50 (453 pts)
4986 // 1/6 data for 50-th order quadrature with 84 nodes.
4987 compressedSize = 84;
4988 fullSize = 453;
4989 w.resize(compressedSize);
4990 p.resize(compressedSize);
4991 w[0] = 0.21904046082402179331777860407172E-02;
4992 w[1] = 0.45710956467466776333595601564413E-03;
4993 w[2] = 0.39488814170737652484817523330772E-03;
4994 w[3] = 0.35934111950642942202851471876703E-02;
4995 w[4] = 0.14910742851108025176218601254730E-02;
4996 w[5] = 0.17967284713619579793465412642966E-03;
4997 w[6] = 0.10125558476824481605944822924240E-02;
4998 w[7] = 0.17069127169250074598843709053414E-02;
4999 w[8] = 0.24079695740395151054526221911175E-04;
5000 w[9] = 0.36927130629621416994224679037866E-02;
5001 w[10] = 0.22489391525853586565409506926398E-02;
5002 w[11] = 0.19524312574849497675486111229175E-02;
5003 w[12] = 0.10866799154497416799396832774298E-02;
5004 w[13] = 0.55988347396351114436180639136753E-02;
5005 w[14] = 0.28924669217577866067492578922788E-02;
5006 w[15] = 0.20380484585475350431644792897213E-02;
5007 w[16] = 0.34261098541603004157722338638113E-02;
5008 w[17] = 0.61351457019749324652202710478653E-03;
5009 w[18] = 0.86542020701437739404493838669357E-03;
5010 w[19] = 0.36671947134331494740326630077914E-02;
5011 w[20] = 0.28026432284100394242484806225548E-02;
5012 w[21] = 0.54349341984383407453878533427381E-02;
5013 w[22] = 0.28351957640421590232032942807150E-02;
5014 w[23] = 0.45746103628843216234268299714345E-02;
5015 w[24] = 0.15952659260343677779327391072587E-02;
5016 w[25] = 0.35621046832988029971593531686097E-02;
5017 w[26] = 0.50771409433251890919140609918512E-03;
5018 w[27] = 0.45268556007289308320192321203838E-02;
5019 w[28] = 0.57647586887781341017507334442447E-03;
5020 w[29] = 0.57986412207422415390596586269670E-02;
5021 w[30] = 0.26551803851187666770994169697277E-02;
5022 w[31] = 0.42618143181478615021232589520584E-02;
5023 w[32] = 0.61410787717774668691311895702589E-02;
5024 w[33] = 0.41577749997957744966853239679784E-02;
5025 w[34] = 0.45714943165212042708880269013658E-02;
5026 w[35] = 0.11784033012900141932339284269968E-02;
5027 w[36] = 0.14219896538536742581747920401589E-02;
5028 w[37] = 0.23860085586204575770728358003760E-02;
5029 w[38] = 0.10070034152583604416622993805894E-02;
5030 w[39] = 0.37609206282914322618831855234874E-02;
5031 w[40] = 0.34952452756601121036043544579388E-02;
5032 w[41] = 0.58926392977540359306346878698652E-02;
5033 w[42] = 0.21761510975303425549110319628113E-02;
5034 w[43] = 0.25597503150258418017093231009733E-02;
5035 w[44] = 0.53360452230413602215172989866309E-02;
5036 w[45] = 0.30890849879669851554048232262039E-02;
5037 w[46] = 0.71328535685235871693729072620986E-02;
5038 w[47] = 0.10810483517258989817564835528970E-02;
5039 w[48] = 0.17544886347878652397548372765366E-02;
5040 w[49] = 0.61494904649466669709635349908104E-02;
5041 w[50] = 0.23575565603961950228417434213703E-02;
5042 w[51] = 0.13783891229758136398436483499410E-02;
5043 w[52] = 0.18290788738495703825316717211575E-02;
5044 w[53] = 0.33652181243651173378348463861955E-02;
5045 w[54] = 0.15184413550438083995525042414313E-02;
5046 w[55] = 0.55587775921145309411995749989960E-02;
5047 w[56] = 0.17601404353050383171865064267571E-02;
5048 w[57] = 0.31341293249895626259540265265832E-02;
5049 w[58] = 0.56365508134121191078584408821979E-02;
5050 w[59] = 0.19737963916342285028504669269696E-03;
5051 w[60] = 0.57998586649655338308131100175788E-03;
5052 w[61] = 0.13607360815822191768414153771193E-02;
5053 w[62] = 0.15219771844702045466850220251726E-03;
5054 w[63] = 0.24008493579443378017998981782239E-03;
5055 w[64] = 0.67581925200909458799817643884140E-02;
5056 w[65] = 0.51393423392662772922503829588641E-02;
5057 w[66] = 0.69517340368258314203719954545839E-03;
5058 w[67] = 0.24993080895095462395459033935751E-02;
5059 w[68] = 0.26503828818360718009873158711194E-02;
5060 w[69] = 0.30717948054284111140681604233590E-02;
5061 w[70] = 0.63523033610323033970102101013160E-03;
5062 w[71] = 0.30076725635797333204424140098894E-02;
5063 w[72] = 0.42759500648291081429579191318110E-02;
5064 w[73] = 0.17369109423123418439135661109544E-02;
5065 w[74] = 0.33989953518860807286401877670786E-02;
5066 w[75] = 0.22934322638873487811005284243824E-02;
5067 w[76] = 0.52212507063839734314031356362762E-03;
5068 w[77] = 0.38540006507433082413851188895204E-02;
5069 w[78] = 0.78895266863538848229357197934055E-03;
5070 w[79] = 0.77068430988334312857080924995683E-03;
5071 w[80] = 0.49308164137002449756423311284903E-03;
5072 w[81] = 0.18435234238175567747584066472141E-02;
5073 w[82] = 0.37992680605946786583823819678412E-02;
5074 w[83] = 0.48761272444903304947626163241666E-03;
5075 p[0] = Vector2d(0.00000000000000000000000000000000,
5076 0.26665777797796383627973623253967);
5077 p[1] = Vector2d(-0.11243137017724544706384538604138,
5078 -0.57575252834615965036824127302641);
5079 p[2] = Vector2d(-0.92568822098610615625930541796974,
5080 -0.53848652830351311098524847745854);
5081 p[3] = Vector2d(-0.29692106117972817002503164575225,
5082 -0.19146540832960751941458046699634);
5083 p[4] = Vector2d(-0.70777454997646828139185546400833,
5084 -0.53730488391129554992245069202693);
5085 p[5] = Vector2d(-0.90907207527032819051622115148967,
5086 -0.57586628305377182252547466076703);
5087 p[6] = Vector2d(-0.17776222920358422699613435141006,
5088 -0.56902146444580641033160663668216);
5089 p[7] = Vector2d(-0.63358007216059497217331539880521,
5090 -0.53665917816023464212621359008944);
5091 p[8] = Vector2d(0.00000000000000000000000000000000,
5092 0.11490520500034347586508846660531E+01);
5093 p[9] = Vector2d(-0.48639150346057012854861946724002,
5094 -0.41558253110498620541881452613918);
5095 p[10] = Vector2d(-0.67960972311168179219672603013974,
5096 -0.50495637092434172779930285170762);
5097 p[11] = Vector2d(-0.80987858028162034515744403376905,
5098 -0.49186089726616651601947223505482);
5099 p[12] = Vector2d(0.00000000000000000000000000000000,
5100 -0.54384156132974709175980042825510);
5101 p[13] = Vector2d(-0.10197291667485080764243827190062,
5102 -0.31266847173129537509553966714426);
5103 p[14] = Vector2d(-0.63905313551409030298179847776955,
5104 -0.46456703619309813450876313794865);
5105 p[15] = Vector2d(-0.54848856966069179497342801711918,
5106 -0.53671264515430239685282775620237);
5107 p[16] = Vector2d(-0.28743291564930093738030476563064,
5108 -0.48722771965406562202415837416678);
5109 p[17] = Vector2d(-0.25853575380565982943550456940571,
5110 -0.57476168616596147470350970491546);
5111 p[18] = Vector2d(-0.85293311497853524347068807827847,
5112 -0.55648988758506322732625931002792);
5113 p[19] = Vector2d(-0.69117532096345247573444072455055E-01,
5114 -0.47916934061220515500684077992539);
5115 p[20] = Vector2d(0.00000000000000000000000000000000,
5116 -0.30918435458414123508211511701385);
5117 p[21] = Vector2d(-0.56115415639613667473122134344096E-01,
5118 -0.37840666740342688089437456064073);
5119 p[22] = Vector2d(-0.24397413927543615902606748562471,
5120 -0.52319798442392801521139581532973);
5121 p[23] = Vector2d(-0.27325078883205130181299635420966,
5122 -0.40025389355433590091307180243175);
5123 p[24] = Vector2d(0.00000000000000000000000000000000,
5124 -0.51006243855179098239070640229809);
5125 p[25] = Vector2d(-0.16627205471955132096796330738419,
5126 -0.49360682183497845303635246898716);
5127 p[26] = Vector2d(-0.93789271474578126741505762079105,
5128 -0.56006513490944252779041221120332);
5129 p[27] = Vector2d(-0.11930506754016075016780500019251,
5130 -0.43200879236359204554404676070914);
5131 p[28] = Vector2d(-0.90151108565688587759737165100797,
5132 -0.56569680324298668363410710315288);
5133 p[29] = Vector2d(-0.32049535943729789391066639033515,
5134 -0.27024376159027951510165751092348);
5135 p[30] = Vector2d(-0.59104204439569195659289399130103,
5136 -0.50341926055772996189589528959240);
5137 p[31] = Vector2d(-0.21751462540323724688100842714558,
5138 -0.44849821522859359956466291790167);
5139 p[32] = Vector2d(-0.15800907798262943177922632788479,
5140 -0.15547647645906741636976279609852);
5141 p[33] = Vector2d(-0.34192996428318888182680259909761,
5142 -0.44503618911963343982519208289006);
5143 p[34] = Vector2d(-0.50348314662449992878796511382845,
5144 -0.36218696833371919155331150775928);
5145 p[35] = Vector2d(-0.72296664168698516928824798397709,
5146 -0.56041252984416499585686185156419);
5147 p[36] = Vector2d(-0.83410412765541264189179663045556,
5148 -0.52895122351604286441157165271526);
5149 p[37] = Vector2d(-0.45220969294953177503238310311635,
5150 -0.53438108768101891752999282805610);
5151 p[38] = Vector2d(-0.89091508745388259553341479950777,
5152 -0.54075896308780913586275538622291);
5153 p[39] = Vector2d(-0.43793566633133321281524272450307,
5154 -0.45931123138039248803011481724000);
5155 p[40] = Vector2d(-0.54799008713988301043149151643902,
5156 -0.45819330231577922836160500737553);
5157 p[41] = Vector2d(-0.20885455826291604847376889739060,
5158 -0.30653810287769073602767881586011);
5159 p[42] = Vector2d(-0.19653261626463977858040946368613,
5160 -0.55000331539356022007925762637213);
5161 p[43] = Vector2d(-0.34026425560719830519871252095558,
5162 -0.53673989933539527787145346842252);
5163 p[44] = Vector2d(-0.30334121141262021200705945773916,
5164 -0.34191292599382455707842137133247);
5165 p[45] = Vector2d(-0.49535294281864462436231396682347,
5166 -0.49993522428841323273059831641668);
5167 p[46] = Vector2d(-0.54967499236570302852186466340436E-01,
5168 -0.15116834147609688134917263547298);
5169 p[47] = Vector2d(-0.79641981144983823490340768373671,
5170 -0.55870738754201772527722045828665);
5171 p[48] = Vector2d(-0.77252621434083133665996549756551,
5172 -0.53093517049471556661138723835977);
5173 p[49] = Vector2d(-0.22122265719250289382440633768970,
5174 -0.23111044337275539896270189389374);
5175 p[50] = Vector2d(0.00000000000000000000000000000000,
5176 -0.43735474019364034368275094309953);
5177 p[51] = Vector2d(-0.63310729924221124505794362578563,
5178 -0.56061901718698357069687788950861);
5179 p[52] = Vector2d(0.00000000000000000000000000000000,
5180 0.76210269896315505375472989314401);
5181 p[53] = Vector2d(-0.38407586571187361708454487843458,
5182 -0.50180464055963906570282323273135);
5183 p[54] = Vector2d(-0.53170841252843484837013141905012,
5184 -0.56066404582769439179312259695008);
5185 p[55] = Vector2d(-0.17511720551530423320716712387413,
5186 -0.37564082456563228243592800723225);
5187 p[56] = Vector2d(-0.30063413976092480084347753701585,
5188 -0.56093583647028840530479402530989);
5189 p[57] = Vector2d(-0.10868692205689496593149118515046,
5190 -0.52891066884917480700076516219948);
5191 p[58] = Vector2d(-0.41113970829952388068679218228879,
5192 -0.32227834482125130031233025928199);
5193 p[59] = Vector2d(0.00000000000000000000000000000000,
5194 0.11168066855539393695052411427936E+01);
5195 p[60] = Vector2d(-0.69178376289359713732790198931403,
5196 -0.57411035226075729901604357841345);
5197 p[61] = Vector2d(0.00000000000000000000000000000000,
5198 0.88226154891869896377217079959897);
5199 p[62] = Vector2d(-0.97953562628985148065013964889033,
5200 -0.57376987737405061910707525396861);
5201 p[63] = Vector2d(-0.95090315064315556393142498648752,
5202 -0.57387511563190780439997792525620);
5203 p[64] = Vector2d(-0.11195104828353529165299273055927,
5204 -0.23684295020028737262235915750548);
5205 p[65] = Vector2d(-0.39218251627345475097146235231760,
5206 -0.39119141236066998475482225138722);
5207 p[66] = Vector2d(-0.48703846544346851999956533815843,
5208 -0.57412552079576272088571038657122);
5209 p[67] = Vector2d(-0.74320583688319031979489348519293,
5210 -0.49038868751056796001858236250926);
5211 p[68] = Vector2d(0.00000000000000000000000000000000,
5212 0.56490646899011486213357544715935);
5213 p[69] = Vector2d(-0.69393567486204502934677097789401,
5214 -0.44034718635067890842582839203872);
5215 p[70] = Vector2d(-0.59416809204083916290436093693814,
5216 -0.57418257398341738868103015579407);
5217 p[71] = Vector2d(0.00000000000000000000000000000000,
5218 0.46314994945504571565754224755338);
5219 p[72] = Vector2d(-0.59168695264172826158307513888901,
5220 -0.40847798164087445421263923221521);
5221 p[73] = Vector2d(-0.42226270556224588488343911175678,
5222 -0.55956030132080839871226342430982);
5223 p[74] = Vector2d(0.00000000000000000000000000000000,
5224 -0.23325735799867068880579964798512);
5225 p[75] = Vector2d(0.00000000000000000000000000000000,
5226 0.66759979014975408805793640512288);
5227 p[76] = Vector2d(-0.77777971180155417861382042517561,
5228 -0.57398131471203676458813819810279);
5229 p[77] = Vector2d(0.00000000000000000000000000000000,
5230 -0.61858570316929177810688167413239E-01);
5231 p[78] = Vector2d(0.00000000000000000000000000000000,
5232 0.10083409893504061073884069251960E+01);
5233 p[79] = Vector2d(-0.37473331227815313999612621965198,
5234 -0.57386414467099150410234406203086);
5235 p[80] = Vector2d(0.00000000000000000000000000000000,
5236 -0.57279115920674012280479926283406);
5237 p[81] = Vector2d(-0.77988920685466297897759157424588E-01,
5238 -0.56023791168005362040639295690520);
5239 p[82] = Vector2d(0.00000000000000000000000000000000,
5240 0.12766415047174134768367989248219);
5241 p[83] = Vector2d(-0.84965569809328811423376218283034,
5242 -0.57349445987280550794758489384318);
5243 break;
5244
5245 default:
5246 snprintf(painCave.errMsg, MAX_SIM_ERROR_MSG_LENGTH,
5247 "XiaoGimbutasTriangleQuadrature does not implement a %d "
5248 "order algorithm\n",
5249 order_);
5250 painCave.isFatal = 1;
5251 simError();
5252 }
5253 expandNodes(p, w, fullSize);
5254 }
5255
5256 /*
5257 * This routine expands nodes to the reference triangle assuming
5258 * that the points are already in the lower-left 1/6 of the
5259 * triangle.
5260 */
5261 void expandNodes(std::vector<RealType> w, std::vector<Vector2d> p,
5262 int fullSize) {
5263 const RealType eps = 1.0e-12;
5264 int i;
5265 int ntot = 0;
5266
5267
5268 }
5269
5270 int do_order() const final { return order_; }
5271
5272 const std::vector<RealType>& do_weights() const final { return weights_; }
5273
5274 const std::vector<Vector2d>& do_quadrature_points() const final {
5275 return quadrature_points_;
5276 }
5277
5278 const int order_ {-1};
5279 std::vector<RealType> weights_;
5280 std::vector<Vector2d> quadrature_points_;
5281 };
5282
5283} // namespace OpenMD
5284#endif
OpenMD::TriangleQuadratureRule
A "rule" (weights and quadrature points) for computing quadrature over triangular domains.
Definition TriangleQuadratureRule.hpp:18
OpenMD::TriangleQuadratureRule::order
int order() const
Returns the order of this rule.
Definition TriangleQuadratureRule.hpp:28
OpenMD::XiaoGimbutasTriangleQuadratureRule::XiaoGimbutasTriangleQuadratureRule
XiaoGimbutasTriangleQuadratureRule(int order)
Constructs the XiaoGimbutas quadrature rule of the specified order, which must be between 1 and 50.
Definition XiaoGimbutasTriangleQuadrature.hpp:16
OpenMD
This basic Periodic Table class was originally taken from the data.cpp file in OpenBabel.
Definition ActionCorrFunc.cpp:60