Intrepid
http://trilinos.sandia.gov/packages/docs/r10.10/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureDirectTriDefaultDef.hpp
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00001 // @HEADER
00002 // ************************************************************************
00003 //
00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
00006 //
00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
00008 // license for use of this work by or on behalf of the U.S. Government.
00009 //
00010 // Redistribution and use in source and binary forms, with or without
00011 // modification, are permitted provided that the following conditions are
00012 // met:
00013 //
00014 // 1. Redistributions of source code must retain the above copyright
00015 // notice, this list of conditions and the following disclaimer.
00016 //
00017 // 2. Redistributions in binary form must reproduce the above copyright
00018 // notice, this list of conditions and the following disclaimer in the
00019 // documentation and/or other materials provided with the distribution.
00020 //
00021 // 3. Neither the name of the Corporation nor the names of the
00022 // contributors may be used to endorse or promote products derived from
00023 // this software without specific prior written permission.
00024 //
00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
00036 //
00037 // Questions? Contact Pavel Bochev  (pbboche@sandia.gov)
00038 //                    Denis Ridzal  (dridzal@sandia.gov), or
00039 //                    Kara Peterson (kjpeter@sandia.gov)
00040 //
00041 // ************************************************************************
00042 // @HEADER
00043 
00049 namespace Intrepid {
00050 
00051 template <class Scalar, class ArrayPoint, class ArrayWeight>
00052 CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTriDefault(const int degree) {
00053   this->degree_    = degree;
00054   this->dimension_ = 2;
00055   TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM),
00056                      std::out_of_range,
00057                      ">>> ERROR (CubatureDirectTriDefault): No direct cubature rule implemented for the desired polynomial degree.");
00058 } // end constructor
00059 
00060 
00061 
00062 template <class Scalar, class ArrayPoint, class ArrayWeight>
00063 const CubatureTemplate *  CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const {
00064   return cubature_data_;
00065 }
00066 
00067 
00068 
00069 template <class Scalar, class ArrayPoint, class ArrayWeight>
00070 int CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const {
00071   return INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM;
00072 }
00073 
00074 
00075 
00076 template <class Scalar, class ArrayPoint, class ArrayWeight>
00077 const char* CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::getName() const {
00078   return cubature_name_;
00079 } // end getName
00080 
00081 
00082 
00083 template <class Scalar, class ArrayPoint, class ArrayWeight>
00084 const char* CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TRI_DEFAULT";
00085 
00086 
00087 //-------------------------------------------------------------------------------------//
00088 //                          Definition of cubature templates                           //
00089 //-------------------------------------------------------------------------------------//
00090 
00091 /*
00092    Cubature templates for lines are defined the reference Triangle:
00093 
00094    Triangle      -> (0,0,0),(1,0,0),(0,1,0)
00095 */
00096 
00097 /*
00098    This static const member contains templates for default triangle rules.
00099 */
00100 
00101 template <class Scalar, class ArrayPoint, class ArrayWeight>
00102 const CubatureTemplate CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM+1] =
00103 {
00104   // Cubature templates for the reference triangle {(0,0), (1,0), (0,1)}
00105   //
00106   {
00107     1,
00108     {{1./3., 1./3., 0.0}},
00109     {1./2.}
00110   },
00111   {
00112     1,
00113     {{1./3., 1./3., 0.0}},
00114     {1./2.}
00115   },
00116   {
00117     3,
00118     {{1./6., 1./6., 0.0},
00119      {1./6., 2./3., 0.0},
00120      {2./3., 1./6., 0.0}},
00121     {1./6.,
00122      1./6.,
00123      1./6.}
00124   },
00125   {
00126     4,
00127     {{1./3., 1./3., 0.0},
00128      {1./5., 1./5., 0.0},
00129      {1./5., 3./5., 0.0},
00130      {3./5., 1./5., 0.0}},
00131     {-9./32.,
00132      25./96.,
00133      25./96.,
00134      25./96.}
00135   },
00136   {
00137     6,
00138     {{4.4594849091596487577332043252695176084800e-1,  4.4594849091596487577332043252695176084800e-1, 0.0},
00139      {4.4594849091596487577332043252695176084800e-1,  1.0810301816807024845335913494609647830400e-1, 0.0},
00140      {1.0810301816807024845335913494609647830400e-1,  4.4594849091596487577332043252695176084800e-1, 0.0},
00141      {9.1576213509770745141706146463816673424873e-2,  9.1576213509770745141706146463816673424873e-2, 0.0},
00142      {9.1576213509770745141706146463816673424873e-2,  8.1684757298045850971658770707236665315025e-1, 0.0},
00143      {8.1684757298045850971658770707236665315025e-1,  9.1576213509770745141706146463816673424873e-2, 0.0}},
00144     {1.1169079483900573053953942803038657817028e-1,
00145      1.1169079483900573053953942803038657817028e-1,
00146      1.1169079483900573053953942803038657817028e-1,
00147      5.4975871827660936395761590801109078322738e-2,
00148      5.4975871827660936395761590801109078322738e-2,
00149      5.4975871827660936395761590801109078322738e-2}
00150   },
00151   {
00152     7,
00153     {{3.3333333333333333333333333333333333333333e-1,  3.3333333333333333333333333333333333333333e-1, 0.0},
00154      {1.0128650732345633880098736191512382805558e-1,  1.0128650732345633880098736191512382805558e-1, 0.0},
00155      {7.9742698535308732239802527616975234388885e-1,  1.0128650732345633880098736191512382805558e-1, 0.0},
00156      {1.0128650732345633880098736191512382805558e-1,  7.9742698535308732239802527616975234388885e-1, 0.0},
00157      {4.7014206410511508977044120951344760051585e-1,  4.7014206410511508977044120951344760051585e-1, 0.0},
00158      {5.9715871789769820459117580973104798968293e-2,  4.7014206410511508977044120951344760051585e-1, 0.0},
00159      {4.7014206410511508977044120951344760051585e-1,  5.9715871789769820459117580973104798968293e-2, 0.0}},
00160     {1.1250000000000000000000000000000000000000e-1,
00161      6.2969590272413576297841972750090666828820e-2,
00162      6.2969590272413576297841972750090666828820e-2,
00163      6.2969590272413576297841972750090666828820e-2,
00164      6.6197076394253090368824693916575999837847e-2,
00165      6.6197076394253090368824693916575999837847e-2,
00166      6.6197076394253090368824693916575999837847e-2}
00167   },
00168   {
00169     12,
00170     {{6.3089014491502228340331602870819157341003e-2,  6.3089014491502228340331602870819157341003e-2, 0.0},
00171      {6.3089014491502228340331602870819157341003e-2,  8.7382197101699554331933679425836168531799e-1, 0.0},
00172      {8.7382197101699554331933679425836168531799e-1,  6.3089014491502228340331602870819157341003e-2, 0.0},
00173      {2.4928674517091042129163855310701907608796e-1,  2.4928674517091042129163855310701907608796e-1, 0.0},
00174      {2.4928674517091042129163855310701907608796e-1,  5.0142650965817915741672289378596184782407e-1, 0.0},
00175      {5.0142650965817915741672289378596184782407e-1,  2.4928674517091042129163855310701907608796e-1, 0.0},
00176      {3.1035245103378441286759566723265117140082e-1,  5.3145049844816939902261738355299128796183e-2, 0.0},
00177      {6.3650249912139865667831578657006182134850e-1,  3.1035245103378439596843454179854003165774e-1, 0.0},
00178      {5.3145049844816930454088546197287007250682e-2,  6.3650249912139866412930371984616083954608e-1, 0.0},
00179      {5.3145049844816939902261738355299128796183e-2,  3.1035245103378441286759566723265117140082e-1, 0.0},
00180      {6.3650249912139866412930371984616083954608e-1,  5.3145049844816930454088546197287007250682e-2, 0.0},
00181      {3.1035245103378439596843454179854003165774e-1,  6.3650249912139865667831578657006182134850e-1, 0.0}},
00182     {2.5422453185103408460468404553434492023395e-2,
00183      2.5422453185103408460468404553434492023395e-2,
00184      2.5422453185103408460468404553434492023395e-2,
00185      5.8393137863189683012644805692789720663043e-2,
00186      5.8393137863189683012644805692789720663043e-2,
00187      5.8393137863189683012644805692789720663043e-2,
00188      4.1425537809186787596776728210221226990114e-2,
00189      4.1425537809186787596776728210221226990114e-2,
00190      4.1425537809186787596776728210221226990114e-2,
00191      4.1425537809186787596776728210221226990114e-2,
00192      4.1425537809186787596776728210221226990114e-2,
00193      4.1425537809186787596776728210221226990114e-2}
00194   },
00195   {
00196     13,
00197     {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
00198      {2.60345966079040e-01, 2.60345966079040e-01, 0.0},
00199      {2.60345966079040e-01, 4.79308067841920e-01, 0.0},
00200      {4.79308067841920e-01, 2.60345966079040e-01, 0.0},
00201      {6.51301029022160e-02, 6.51301029022160e-02, 0.0},
00202      {6.51301029022160e-02, 8.69739794195568e-01, 0.0},
00203      {8.69739794195568e-01, 6.51301029022160e-02, 0.0},
00204      {3.12865496004874e-01, 6.38444188569810e-01, 0.0},
00205      {6.38444188569810e-01, 4.86903154253160e-02, 0.0},
00206      {4.86903154253160e-02, 3.12865496004874e-01, 0.0},
00207      {3.12865496004874e-01, 4.86903154253160e-02, 0.0},
00208      {6.38444188569810e-01, 3.12865496004874e-01, 0.0},
00209      {4.86903154253160e-02, 6.38444188569810e-01, 0.0}},
00210     {-7.47850222338410e-02,
00211      8.78076287166040e-02,
00212      8.78076287166040e-02,
00213      8.78076287166040e-02,
00214      2.66736178044190e-02,
00215      2.66736178044190e-02,
00216      2.66736178044190e-02,
00217      3.85568804451285e-02,
00218      3.85568804451285e-02,
00219      3.85568804451285e-02,
00220      3.85568804451285e-02,
00221      3.85568804451285e-02,
00222      3.85568804451285e-02}
00223   },
00224   {
00225     16,
00226     {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
00227      {4.59292588292723e-01, 4.59292588292723e-01, 0.0},
00228      {4.59292588292723e-01, 8.14148234145540e-02, 0.0},
00229      {8.14148234145540e-02, 4.59292588292723e-01, 0.0},
00230      {1.70569307751760e-01, 1.70569307751760e-01, 0.0},
00231      {1.70569307751760e-01, 6.58861384496480e-01, 0.0},
00232      {6.58861384496480e-01, 1.70569307751760e-01, 0.0},
00233      {5.05472283170310e-02, 5.05472283170310e-02, 0.0},
00234      {5.05472283170310e-02, 8.98905543365938e-01, 0.0},
00235      {8.98905543365938e-01, 5.05472283170310e-02, 0.0},
00236      {2.63112829634638e-01, 7.28492392955404e-01, 0.0},
00237      {7.28492392955404e-01, 8.39477740995798e-03, 0.0},
00238      {8.39477740995798e-03, 2.63112829634638e-01, 0.0},
00239      {2.63112829634638e-01, 8.39477740995798e-03, 0.0},
00240      {7.28492392955404e-01, 2.63112829634638e-01, 0.0},
00241      {8.39477740995798e-03, 7.28492392955404e-01, 0.0}},
00242     {7.21578038388935e-02,
00243      4.75458171336425e-02,
00244      4.75458171336425e-02,
00245      4.75458171336425e-02,
00246      5.16086852673590e-02,
00247      5.16086852673590e-02,
00248      5.16086852673590e-02,
00249      1.62292488115990e-02,
00250      1.62292488115988e-02,
00251      1.62292488115990e-02,
00252      1.36151570872175e-02,
00253      1.36151570872175e-02,
00254      1.36151570872175e-02,
00255      1.36151570872175e-02,
00256      1.36151570872175e-02,
00257      1.36151570872175e-02}
00258   },
00259   {
00260     19,
00261     {{3.33333333333333e-01, 3.33333333333333e-01, 0.0},
00262      {4.89682519198738e-01, 4.89682519198738e-01, 0.0},
00263      {4.89682519198738e-01, 2.06349616025250e-02, 0.0},
00264      {2.06349616025250e-02, 4.89682519198738e-01, 0.0},
00265      {4.37089591492937e-01, 4.37089591492937e-01, 0.0},
00266      {4.37089591492937e-01, 1.25820817014127e-01, 0.0},
00267      {1.25820817014127e-01, 4.37089591492937e-01, 0.0},
00268      {1.88203535619033e-01, 1.88203535619033e-01, 0.0},
00269      {1.88203535619033e-01, 6.23592928761935e-01, 0.0},
00270      {6.23592928761935e-01, 1.88203535619033e-01, 0.0},
00271      {4.47295133944530e-02, 4.47295133944530e-02, 0.0},
00272      {4.47295133944530e-02, 9.10540973211095e-01, 0.0},
00273      {9.10540973211095e-01, 4.47295133944530e-02, 0.0},
00274      {2.21962989160766e-01, 7.41198598784498e-01, 0.0},
00275      {7.41198598784498e-01, 3.68384120547360e-02, 0.0},
00276      {3.68384120547360e-02, 2.21962989160766e-01, 0.0},
00277      {2.21962989160766e-01, 3.68384120547360e-02, 0.0},
00278      {7.41198598784498e-01, 2.21962989160766e-01, 0.0},
00279      {3.68384120547360e-02, 7.41198598784498e-01, 0.0}},
00280     {4.85678981413995e-02,
00281      1.56673501135695e-02,
00282      1.56673501135695e-02,
00283      1.56673501135695e-02,
00284      3.89137705023870e-02,
00285      3.89137705023870e-02,
00286      3.89137705023870e-02,
00287      3.98238694636050e-02,
00288      3.98238694636050e-02,
00289      3.98238694636050e-02,
00290      1.27888378293490e-02,
00291      1.27888378293490e-02,
00292      1.27888378293490e-02,
00293      2.16417696886445e-02,
00294      2.16417696886445e-02,
00295      2.16417696886445e-02,
00296      2.16417696886445e-02,
00297      2.16417696886445e-02,
00298      2.16417696886445e-02}
00299   },
00300   {
00301     24,
00302     {{3.8102570854643002e-03, 8.6854386943076545e-01, 0.0},
00303      {8.3865349500109043e-01, 1.6134650499890960e-01, 0.0},
00304      {0.0                   , 3.9366774470722010e-01, 0.0},
00305      {7.7757518429429107e-01, 0.0                   , 0.0},
00306      {4.7768381772022403e-02, 9.2899486985787905e-01, 0.0},
00307      {1.0939142057119900e-02, 1.7690730625559031e-01, 0.0},
00308      {4.6374383867430541e-01, 0.0                   , 0.0},
00309      {9.3049846900263089e-01, 2.9553592846822900e-02, 0.0},
00310      {3.9099745550423302e-02, 3.5319656252586103e-02, 0.0},
00311      {4.8798437805397499e-01, 5.0365825075943971e-01, 0.0},
00312      {1.9305903224251941e-01, 3.0573404093099301e-02, 0.0},
00313      {2.2376358774275851e-01, 7.4726591728868819e-01, 0.0},
00314      {3.6036266787907702e-02, 6.3491832379200652e-01, 0.0},
00315      {7.6777680170023954e-01, 1.0614642990290001e-01, 0.0},
00316      {1.0954959855585469e-01, 7.5329402776254240e-01, 0.0},
00317      {6.4203365318662664e-01, 2.9530445535851102e-01, 0.0},
00318      {1.0999439055630450e-01, 1.6929927488966459e-01, 0.0},
00319      {3.3947290311800549e-01, 9.5379208487721703e-02, 0.0},
00320      {8.4198522115543697e-02, 3.8729657913960353e-01, 0.0},
00321      {5.7966325105486349e-01, 8.0491894656105595e-02, 0.0},
00322      {3.6419744430339263e-01, 5.2433682558924433e-01, 0.0},
00323      {2.7586334089315973e-01, 2.6481531651496770e-01, 0.0},
00324      {2.0776116575484829e-01, 5.0550507373529086e-01, 0.0},
00325      {4.8123289062464247e-01, 2.7542385024412980e-01, 0.0}},
00326     {5.3333456379563004e-03,
00327      5.5334733911235499e-03,
00328      5.9501524071177998e-03,
00329      6.6995403929284002e-03,
00330      7.3041646115608498e-03,
00331      7.4233118233402503e-03,
00332      7.5781309587828498e-03,
00333      7.6015470130063496e-03,
00334      8.8279222964811003e-03,
00335      9.7797061087609508e-03,
00336      1.5707351180334426e-02,
00337      1.6151301011728625e-02,
00338      2.1481164696039650e-02,
00339      2.6268329551205824e-02,
00340      2.6365190704419499e-02,
00341      2.7457802196927176e-02,
00342      2.8987070299349601e-02,
00343      3.0871122933097676e-02,
00344      3.1343962650456775e-02,
00345      3.3093067237629975e-02,
00346      3.7039823668389947e-02,
00347      4.2207221279855073e-02,
00348      4.3362019313832399e-02,
00349      4.7633278635674972e-02}
00350   },
00351   {
00352     27,
00353     {{3.7802163891336921e-01, 6.1948431533135195e-01, 0.0},
00354      {3.2899822292186298e-02, 9.3614893514675623e-01, 0.0},
00355      {9.3551434285897095e-01, 3.3268560622678398e-02, 0.0},
00356      {3.4222771841359197e-02, 3.2916403878999703e-02, 0.0},
00357      {1.4354532010930900e-02, 3.9659731669586501e-01, 0.0},
00358      {2.2120535196161799e-02, 1.6892970982290231e-01, 0.0},
00359      {8.1562969693268217e-01, 2.6807150626772601e-02, 0.0},
00360      {2.7719522918618601e-02, 8.1626233715968810e-01, 0.0},
00361      {1.7400571673032261e-01, 2.5252704638304500e-02, 0.0},
00362      {3.8913981113319362e-01, 2.2592651051306600e-02, 0.0},
00363      {8.0364834053903877e-01, 1.6655614492060569e-01, 0.0},
00364      {1.6429286715713459e-01, 8.0454974747615537e-01, 0.0},
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01309      {1.0058915260013050e-01, 8.5863434193517962e-01, 0.0},
01310      {9.1874071705841595e-02, 3.9551300197337699e-02, 0.0},
01311      {8.6048882961910289e-01, 9.6622405707924700e-02, 0.0},
01312      {4.3984217867325599e-02, 8.5618863491067676e-01, 0.0},
01313      {2.0110176067354310e-01, 7.4491158356262255e-01, 0.0},
01314      {7.4499937262632787e-01, 5.3686563816580400e-02, 0.0},
01315      {5.3218664130983202e-02, 1.9637542759350521e-01, 0.0},
01316      {7.4539846474005178e-01, 1.9820658055500051e-01, 0.0},
01317      {1.9572899328760179e-01, 5.5571383315608597e-02, 0.0},
01318      {1.0925320579875419e-01, 6.1000361824130300e-01, 0.0},
01319      {5.6762570200051501e-02, 7.4091218949591942e-01, 0.0},
01320      {4.8383793347481101e-02, 6.0751356609779783e-01, 0.0},
01321      {1.0806128097601329e-01, 1.1220815104370099e-01, 0.0},
01322      {6.1856059009905007e-01, 2.6987537030349740e-01, 0.0},
01323      {7.7212960134965625e-01, 1.1141173953329921e-01, 0.0},
01324      {6.1157348011327173e-01, 3.3893676779306348e-01, 0.0},
01325      {3.3813261033758418e-01, 4.9469393878745799e-02, 0.0},
01326      {1.1730841282542900e-01, 7.6964513097951825e-01, 0.0},
01327      {2.6745512605961458e-01, 1.1157188081540730e-01, 0.0},
01328      {6.5421001600256889e-01, 1.9065483146999149e-01, 0.0},
01329      {5.3829748115775802e-02, 3.3586168268491179e-01, 0.0},
01330      {1.8488403241167711e-01, 1.5518315238513730e-01, 0.0},
01331      {3.3762671047443338e-01, 6.0814025962944529e-01, 0.0},
01332      {6.0671020344994708e-01, 5.4263279559821201e-02, 0.0},
01333      {4.6126140854956371e-01, 6.8817667072165398e-02, 0.0},
01334      {1.5254653656712561e-01, 6.5102408457488470e-01, 0.0},
01335      {7.0058254354307500e-02, 4.6619043927415987e-01, 0.0},
01336      {4.7042013790318088e-01, 4.6348264553531421e-01, 0.0},
01337      {1.2164616937459330e-01, 2.3814948755156831e-01, 0.0},
01338      {6.3714040527021165e-01, 1.2383993845133670e-01, 0.0},
01339      {2.3799045151187120e-01, 6.3702164523263760e-01, 0.0},
01340      {1.4839298571771459e-01, 4.8941885777801442e-01, 0.0},
01341      {3.5980695715496319e-01, 1.4528808662532389e-01, 0.0},
01342      {4.9414410550951349e-01, 3.6102163838181101e-01, 0.0},
01343      {1.4406306879808209e-01, 3.5135083418870572e-01, 0.0},
01344      {5.0197644400035468e-01, 1.4354916632930600e-01, 0.0},
01345      {3.5554238342982608e-01, 5.0164915995018422e-01, 0.0},
01346      {2.4434395407713269e-01, 2.4060521291041001e-01, 0.0},
01347      {2.4370649893418969e-01, 5.1090172770553444e-01, 0.0},
01348      {5.1222008073208247e-01, 2.4527379735428820e-01, 0.0},
01349      {2.5260383151777532e-01, 3.7003195550936951e-01, 0.0},
01350      {3.7598956528506539e-01, 2.5054066116305501e-01, 0.0},
01351      {3.7290779871441049e-01, 3.7537502775491960e-01, 0.0}},
01352     {5.4361363496487503e-04,
01353      7.2467838162779998e-04,
01354      7.7115073341352497e-04,
01355      8.6004082758987495e-04,
01356      1.0474618002941001e-03,
01357      1.1184512874480750e-03,
01358      1.1763605203547751e-03,
01359      1.2216983937579000e-03,
01360      1.2981910842235500e-03,
01361      1.8518264745199500e-03,
01362      1.9938852575230501e-03,
01363      2.0887630727400748e-03,
01364      2.4041665215934500e-03,
01365      2.4079564462609749e-03,
01366      2.4644365189580250e-03,
01367      2.5664470075342249e-03,
01368      2.5797025777773248e-03,
01369      2.6572750407618498e-03,
01370      2.6720326723837502e-03,
01371      2.6742255252576500e-03,
01372      2.7256615428406252e-03,
01373      2.7474945893627501e-03,
01374      2.8355763807253751e-03,
01375      3.0133910732457001e-03,
01376      3.4904798455149752e-03,
01377      3.5286997884102249e-03,
01378      3.5482586761459252e-03,
01379      3.6053169067081750e-03,
01380      3.6176086713727751e-03,
01381      3.6237442468015752e-03,
01382      3.6346693923518499e-03,
01383      3.6491047731400249e-03,
01384      3.6828644616571501e-03,
01385      4.1865990826037754e-03,
01386      4.2238875114384497e-03,
01387      4.2355665721040998e-03,
01388      4.3267543023872996e-03,
01389      4.3631136623173503e-03,
01390      4.4304305539834754e-03,
01391      7.0706006005818254e-03,
01392      7.1249178122030250e-03,
01393      7.1251411634678250e-03,
01394      7.5161805869424503e-03,
01395      7.5507819270567997e-03,
01396      7.5996784019234003e-03,
01397      7.6417199018501249e-03,
01398      7.6516853250572746e-03,
01399      7.7332517050150247e-03,
01400      7.7443455208702503e-03,
01401      7.8286562636164757e-03,
01402      7.8393373347939495e-03,
01403      7.8580117321664505e-03,
01404      7.8795535973380255e-03,
01405      8.1062034496375505e-03,
01406      8.6878038096496243e-03,
01407      8.7598363731706003e-03,
01408      8.7679355077581993e-03,
01409      8.8032303833538994e-03,
01410      8.8153876245372752e-03,
01411      9.1600805085676005e-03,
01412      9.1933276917576506e-03,
01413      9.2918915734212758e-03,
01414      9.3342892901571994e-03,
01415      1.0099333664696650e-02,
01416      1.0339501015941751e-02,
01417      1.0548944796751400e-02,
01418      1.2386275100928551e-02,
01419      1.2510481528527850e-02,
01420      1.2644864677864924e-02,
01421      1.3000930254698475e-02,
01422      1.3038339197138024e-02,
01423      1.3122478808947751e-02,
01424      1.4978994062894975e-02,
01425      1.4990249935657125e-02,
01426      1.4997881803219050e-02,
01427      1.5853329586233849e-02,
01428      1.5882796527709402e-02,
01429      1.5930165141800151e-02}
01430   } // end Triangle
01431 
01432 };
01433     
01434 } // end namespace Intrepid