coneoproject / COFFEE

COFFEE - A COmpiler For Fast Expression Evaluation
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hoisting (?) non-determinacy #91

Closed wence- closed 7 years ago

wence- commented 7 years ago

In a form, I don't know what right now, I get different code generated across MPI ranks:

diff -u --label /scp\:yam-ic\:/data/lmitche1/pyop2-cache/mismatching-kernels/src-rank2.c --label /scp\:yam-ic\:/data/lmitche1/pyop2-cache/mismatching-kernels/src-rank0.c /var/folders/0c/9jbzks6x2sz3gm1zg5bt_5800000gn/T/tramp.865ZFe.c /var/folders/0c/9jbzks6x2sz3gm1zg5bt_5800000gn/T/tramp.865mPk.c
--- /scp:yam-ic:/data/lmitche1/pyop2-cache/mismatching-kernels/src-rank2.c
+++ /scp:yam-ic:/data/lmitche1/pyop2-cache/mismatching-kernels/src-rank0.c
@@ -394,6 +394,7 @@
   double  c_84_0_3  = (t100 * t84);
   double  c_84_0_4  = (t101 * -1);
   double  c_84_0_5  = (t100 * -1);
+  double  j_84_0_0[12] ;
   double  k_84_0_0[12] ;
   double  k_84_0_1[12] ;
   double  k_84_0_2[12] ;
@@ -427,6 +428,7 @@
   double  k_86_0_3[12] ;
   double  k_86_0_4[12] ;
   double  k_86_0_5[12] ;
+  double  j_86_0_0[12] ;
   double  c_87_0_0  = (t117 * -1);
   double  c_87_0_1  = (t117 * t84);
   double  c_87_0_2  = (t116 * t84);
@@ -444,13 +446,14 @@

   for (int  j  = 0; j < 12; j += 1)
   {
+    j_84_0_0[j] = t195[j] * -1;
     k_84_0_0[j] = t174[j] * c_84_0_1;
     k_84_0_1[j] = (t161[j] * c_84_0_4) + (t168[j] * c_84_0_5);
     k_84_0_2[j] = t175[j] * c_84_0_1;
     k_84_0_3[j] = (t170[j] * c_84_0_5) + (t164[j] * c_84_0_4);
     k_84_0_4[j] = t177[j] * c_84_0_1;
     k_84_0_5[j] = (t173[j] * c_84_0_5) + (t167[j] * c_84_0_4);
-    j_85_0_0[j] = t195[j] * -1;
+    j_85_0_0[j] = j_84_0_0[j];
     j_85_0_1[j] = t190[j] * -1;
     j_85_0_2[j] = t193[j] * -1;
     k_85_0_0[j] = t156[j] * c_85_0_2;
@@ -465,6 +468,7 @@
     k_86_0_3[j] = (t170[j] * c_86_0_5) + (t164[j] * c_86_0_4);
     k_86_0_4[j] = t174[j] * c_86_0_0;
     k_86_0_5[j] = (t161[j] * c_86_0_4) + (t168[j] * c_86_0_5);
+    j_86_0_0[j] = t178[j] * -1;
     k_87_0_0[j] = t159[j] * c_87_0_0;
     k_87_0_1[j] = (t149[j] * c_87_0_4) + (t155[j] * c_87_0_5);
     k_87_0_2[j] = t157[j] * c_87_0_0;
@@ -472,7 +476,7 @@
     k_87_0_4[j] = (t156[j] * c_87_0_0) + ((t143[j] * c_87_0_4) + (t150[j] * c_87_0_5));
     j_87_0_0[j] = t181[j] * -1;
     j_87_0_1[j] = t184[j] * -1;
-    j_87_0_2[j] = t178[j] * -1;
+    j_87_0_2[j] = j_86_0_0[j];

   }

@@ -616,7 +620,7 @@
       ip_k_84_0_8[j] = t235[j] * -1;
       ip_k_84_0_9[j] = t241[j] * -1;
       ip_k_84_0_10[j] = t131[facet[0]][ip][j] * t202;
-      ip_j_84_1_0[j] = j_85_0_0[j] + (t130[facet[0]][ip][j] * c_84_0_0);
+      ip_j_84_1_0[j] = j_84_0_0[j] + (t130[facet[0]][ip][j] * c_84_0_0);
       ip_k_84_1_0[j] = (k_84_0_0[j] + ((t228[j] * c_84_0_2) + (t241[j] * c_84_0_0))) + ((t235[j] * c_84_0_3) + k_84_0_1[j]);
       ip_k_84_1_1[j] = (k_84_0_2[j] + ((t231[j] * c_84_0_2) + (t237[j] * c_84_0_3))) + ((t242[j] * c_84_0_0) + k_84_0_3[j]);
       ip_k_84_1_2[j] = (k_84_0_4[j] + (t240[j] * c_84_0_3)) + ((t234[j] * c_84_0_2) + k_84_0_5[j]);
@@ -646,7 +650,7 @@
       ip_k_86_1_0[j] = (k_86_0_0[j] + ((t240[j] * c_86_0_1) + (t244[j] * c_86_0_2))) + ((t234[j] * c_86_0_3) + k_86_0_1[j]);
       ip_k_86_1_1[j] = (k_86_0_2[j] + ((t231[j] * c_86_0_3) + (t242[j] * c_86_0_2))) + ((t237[j] * c_86_0_1) + k_86_0_3[j]);
       ip_k_86_1_2[j] = (k_86_0_4[j] + (t241[j] * c_86_0_2)) + ((t235[j] * c_86_0_1) + k_86_0_5[j]);
-      ip_j_86_1_0[j] = j_87_0_2[j] + (t132[facet[1]][ip][j] * c_86_0_3);
+      ip_j_86_1_0[j] = j_86_0_0[j] + (t132[facet[1]][ip][j] * c_86_0_3);
       ip_k_87_0_0[j] = t223[j] * -1;
       ip_k_87_0_1[j] = ip_k_85_0_1[j];
       ip_k_87_0_2[j] = ip_k_85_0_0[j];

Diff finished.  Mon Sep  5 15:39:30 2016

Here are two kernels:


        #include <petsc.h>
        #include <stdbool.h>
        #include <math.h>

            #include <immintrin.h>

static inline void form00_interior_facet_integral_otherwise (double  A[24][24] , const double *restrict *restrict coords , const double *restrict *restrict w_0_ , const unsigned int  facet[2] )
{
  double  A00[12][12]  = {0.0};
  double  A01[12][12]  = {0.0};
  double  A10[12][12]  = {0.0};
  double  A11[12][12]  = {0.0};
  double  w_0[2][12] ;

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i] = w_0_[i][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[1][i] = w_0_[i+4][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i+4] = w_0_[i+8][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[1][i+4] = w_0_[i+12][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i+8] = w_0_[i+16][0];
    w_0[1][i+8] = w_0_[i+20][0];

  }
  double  t143[12] ;
  double  t146[12] ;
  double  t149[12] ;
  double  t150[12] ;
  double  t152[12] ;
  double  t155[12] ;
  double  t156[12] ;
  double  t157[12] ;
  double  t159[12] ;
  double  t161[12] ;
  double  t164[12] ;
  double  t167[12] ;
  double  t168[12] ;
  double  t170[12] ;
  double  t173[12] ;
  double  t174[12] ;
  double  t175[12] ;
  double  t177[12] ;
  double  t178[12] ;
  double  t179[12] ;
  double  t180[12] ;
  double  t181[12] ;
  double  t182[12] ;
  double  t183[12] ;
  double  t184[12] ;
  double  t185[12] ;
  double  t186[12] ;
  double  t187[12] ;
  double  t188[12] ;
  double  t189[12] ;
  double  t190[12] ;
  double  t191[12] ;
  double  t192[12] ;
  double  t193[12] ;
  double  t194[12] ;
  double  t195[12] ;
  double  t0  = (-1 * coords[0][0]);
  double  t1  = (t0 + (1 * coords[2][0]));
  double  t2  = (-1 * t1);
  double  t3  = (t0 + (1 * coords[3][0]));
  double  t4  = (1 * t3);
  double  t5  = (t2 + t4);
  double  t6  = (-1 * coords[8][0]);
  double  t7  = (t6 + (1 * coords[10][0]));
  double  t8  = (t6 + (1 * coords[11][0]));
  double  t9  = (1 * t8);
  double  t10  = ((-1 * t7) + t9);
  double  t11  = (-1 * coords[16][0]);
  double  t12  = (t11 + (1 * coords[18][0]));
  double  t13  = (t11 + (1 * coords[19][0]));
  double  t14  = (1 * t13);
  double  t15  = ((-1 * t12) + t14);
  double  t16  = (t0 + (1 * coords[1][0]));
  double  t17  = (1 * t16);
  double  t18  = (t6 + (1 * coords[9][0]));
  double  t19  = (1 * t18);
  double  t20  = (t11 + (1 * coords[17][0]));
  double  t21  = (1 * t20);
  double  t22  = (sqrt(((t5 * t5) + (t10 * t10)) + (t15 * t15)) * sqrt(((t17 * t17) + (t19 * t19)) + (t21 * t21)));
  double  t23  = (-1 * t16);
  double  t24  = (1 * t1);
  double  t25  = (t23 + t24);
  double  t26  = (-1 * t18);
  double  t27  = (1 * t7);
  double  t28  = (t26 + t27);
  double  t29  = (-1 * t20);
  double  t30  = (1 * t12);
  double  t31  = (t29 + t30);
  double  t32  = (sqrt(((t25 * t25) + (t28 * t28)) + (t31 * t31)) * sqrt(((t4 * t4) + (t9 * t9)) + (t14 * t14)));
  double  t33  = (t23 + t4);
  double  t34  = (t26 + t9);
  double  t35  = (t29 + t14);
  double  t36  = (sqrt(((t33 * t33) + (t34 * t34)) + (t35 * t35)) * sqrt(((t24 * t24) + (t27 * t27)) + (t30 * t30)));
  double  t37  = (((t32 + t36) + t22) / 2);
  double  t38  = ((t7 * t13) + (-1 * (t8 * t12)));
  double  t39  = (t8 * t20);
  double  t40  = ((t18 * t12) + (-1 * (t7 * t20)));
  double  t41  = (((t16 * t38) + (t1 * (t39 + (-1 * (t18 * t13))))) + (t3 * t40));
  double  t42  = (-1 * coords[4][0]);
  double  t43  = (t42 + (1 * coords[6][0]));
  double  t44  = (-1 * t43);
  double  t45  = (t42 + (1 * coords[7][0]));
  double  t46  = (1 * t45);
  double  t47  = (t44 + t46);
  double  t48  = (-1 * coords[12][0]);
  double  t49  = (t48 + (1 * coords[14][0]));
  double  t50  = (t48 + (1 * coords[15][0]));
  double  t51  = (1 * t50);
  double  t52  = ((-1 * t49) + t51);
  double  t53  = (-1 * coords[20][0]);
  double  t54  = (t53 + (1 * coords[22][0]));
  double  t55  = (t53 + (1 * coords[23][0]));
  double  t56  = (1 * t55);
  double  t57  = ((-1 * t54) + t56);
  double  t58  = (t42 + (1 * coords[5][0]));
  double  t59  = (1 * t58);
  double  t60  = (t48 + (1 * coords[13][0]));
  double  t61  = (1 * t60);
  double  t62  = (t53 + (1 * coords[21][0]));
  double  t63  = (1 * t62);
  double  t64  = (sqrt(((t47 * t47) + (t52 * t52)) + (t57 * t57)) * sqrt(((t59 * t59) + (t61 * t61)) + (t63 * t63)));
  double  t65  = (-1 * t58);
  double  t66  = (1 * t43);
  double  t67  = (t65 + t66);
  double  t68  = (-1 * t60);
  double  t69  = (1 * t49);
  double  t70  = (t68 + t69);
  double  t71  = (-1 * t62);
  double  t72  = (1 * t54);
  double  t73  = (t71 + t72);
  double  t74  = (sqrt(((t67 * t67) + (t70 * t70)) + (t73 * t73)) * sqrt(((t46 * t46) + (t51 * t51)) + (t56 * t56)));
  double  t75  = (t65 + t46);
  double  t76  = (t68 + t51);
  double  t77  = (t71 + t56);
  double  t78  = (sqrt(((t75 * t75) + (t76 * t76)) + (t77 * t77)) * sqrt(((t66 * t66) + (t69 * t69)) + (t72 * t72)));
  double  t79  = (((t74 + t78) + t64) / 2);
  double  t80  = ((t49 * t55) + (-1 * (t50 * t54)));
  double  t81  = (t50 * t62);
  double  t82  = ((t60 * t54) + (-1 * (t49 * t62)));
  double  t83  = (((t58 * t80) + (t43 * (t81 + (-1 * (t60 * t55))))) + (t45 * t82));
  double  t84  = (340.27690917706 / (0.5 * ((2 * (sqrt(((-1 * t22) + t37) * (((-1 * t36) + t37) * (((-1 * t32) + t37) * t37))) / (6 * (0.16666666666667 * fabs(t41))))) + (2 * (sqrt(((-1 * t64) + t79) * (((-1 * t78) + t79) * (((-1 * t74) + t79) * t79))) / (6 * (0.16666666666667 * fabs(t83))))))));
  double  t85  = (t38 / t41);
  static const double  t86[4][3]  = {{1.0, 1.0, 1.0}, 
  {-1.0, 0.0, 0.0}, 
  {0.0, -1.0, 0.0}, 
  {0.0, 0.0, -1.0}};
  double  t87  = ((t39 + (t18 * (-1 * t13))) / t41);
  double  t88  = (t40 / t41);
  double  t89  = (((t85 * t86[facet[0]][0]) + (t87 * t86[facet[0]][1])) + (t88 * t86[facet[0]][2]));
  double  t90  = (((t3 * t12) + (t13 * t2)) / t41);
  double  t91  = (((t16 * t13) + (t20 * (-1 * t3))) / t41);
  double  t92  = (((t1 * t20) + (-1 * (t16 * t12))) / t41);
  double  t93  = (((t90 * t86[facet[0]][0]) + (t91 * t86[facet[0]][1])) + (t92 * t86[facet[0]][2]));
  double  t94  = (((t1 * t8) + (-1 * (t3 * t7))) / t41);
  double  t95  = (((t3 * t18) + (-1 * (t16 * t8))) / t41);
  double  t96  = (((t16 * t7) + (-1 * (t1 * t18))) / t41);
  double  t97  = (((t94 * t86[facet[0]][0]) + (t95 * t86[facet[0]][1])) + (t96 * t86[facet[0]][2]));
  double  t98  = sqrt(((t89 * t89) + (t93 * t93)) + (t97 * t97));
  double  t99  = (t89 / t98);
  double  t100  = (t93 / t98);
  double  t101  = (t97 / t98);
  double  t102  = (t80 / t83);
  double  t103  = ((t81 + (t60 * (-1 * t55))) / t83);
  double  t104  = (t82 / t83);
  double  t105  = (((t102 * t86[facet[1]][0]) + (t103 * t86[facet[1]][1])) + (t104 * t86[facet[1]][2]));
  double  t106  = (((t45 * t54) + (t55 * t44)) / t83);
  double  t107  = (((t58 * t55) + (t62 * (-1 * t45))) / t83);
  double  t108  = (((t43 * t62) + (-1 * (t58 * t54))) / t83);
  double  t109  = (((t106 * t86[facet[1]][0]) + (t107 * t86[facet[1]][1])) + (t108 * t86[facet[1]][2]));
  double  t110  = (((t43 * t50) + (-1 * (t45 * t49))) / t83);
  double  t111  = (((t45 * t60) + (-1 * (t58 * t50))) / t83);
  double  t112  = (((t58 * t49) + (-1 * (t43 * t60))) / t83);
  double  t113  = (((t110 * t86[facet[1]][0]) + (t111 * t86[facet[1]][1])) + (t112 * t86[facet[1]][2]));
  double  t114  = sqrt(((t105 * t105) + (t109 * t109)) + (t113 * t113));
  double  t115  = (t113 / t114);
  double  t116  = (t109 / t114);
  double  t117  = (t105 / t114);
  static const double  t118[4][3][2]  = {{{-1.0, -1.0}, 
  {1.0, 0.0}, 
  {0.0, 1.0}}, 
  {{0.0, 0.0}, 
  {1.0, 0.0}, 
  {0.0, 1.0}}, 
  {{1.0, 0.0}, 
  {0.0, 0.0}, 
  {0.0, 1.0}}, 
  {{1.0, 0.0}, 
  {0.0, 1.0}, 
  {0.0, 0.0}}};
  double  t119  = (((t118[facet[0]][0][0] * t18) + (t118[facet[0]][1][0] * t7)) + (t118[facet[0]][2][0] * t8));
  double  t120  = (((t118[facet[0]][0][1] * t20) + (t118[facet[0]][1][1] * t12)) + (t118[facet[0]][2][1] * t13));
  double  t121  = (((t118[facet[0]][0][1] * t18) + (t118[facet[0]][1][1] * t7)) + (t118[facet[0]][2][1] * t8));
  double  t122  = (((t118[facet[0]][0][0] * t20) + (t118[facet[0]][1][0] * t12)) + (t118[facet[0]][2][0] * t13));
  double  t123  = ((t119 * t120) + (-1 * (t121 * t122)));
  double  t124  = (((t118[facet[0]][0][1] * t16) + (t118[facet[0]][1][1] * t1)) + (t118[facet[0]][2][1] * t3));
  double  t125  = (((t118[facet[0]][0][0] * t16) + (t118[facet[0]][1][0] * t1)) + (t118[facet[0]][2][0] * t3));
  double  t126  = ((t124 * t122) + (-1 * (t125 * t120)));
  double  t127  = ((t125 * t121) + (-1 * (t124 * t119)));
  double  t128  = sqrt(((t123 * t123) + (t126 * t126)) + (t127 * t127));
  static const double  t129[7]  = {0.1125, 0.0629695902724136, 0.0629695902724136, 0.0629695902724136, 0.0661970763942531, 0.0661970763942531, 0.0661970763942531};
  static const double  t130[4][7][12]  = {{{0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}};
  static const double  t131[4][7][12]  = {{{0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0}}};
  static const double  t132[4][7][12]  = {{{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0}}};
  static const double  t133[12]  = {-1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t134[12]  = {-1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t135[12]  = {-1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t136[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t137[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t138[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t139[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 1.0};
  static const double  t140[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0, 0.0};
  static const double  t141[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 1.0, 0.0, 0.0};

  for (int  k  = 0; k < 12; k += 1)
  {
    double  t142  = (((t110 * t141[k]) + (t111 * t140[k])) + (t112 * t139[k]));
    t143[k] = 0.5 * (1.81e-05 * (t142 + t142));
    double  t144  = (((t106 * t141[k]) + (t107 * t140[k])) + (t108 * t139[k]));
    double  t145  = (((t110 * t138[k]) + (t111 * t137[k])) + (t112 * t136[k]));
    t146[k] = 0.5 * (1.81e-05 * (t144 + t145));
    double  t147  = (((t102 * t141[k]) + (t103 * t140[k])) + (t104 * t139[k]));
    double  t148  = (((t110 * t135[k]) + (t111 * t134[k])) + (t112 * t133[k]));
    t149[k] = 0.5 * (1.81e-05 * (t147 + t148));
    t150[k] = 0.5 * (1.81e-05 * (t145 + t144));
    double  t151  = (((t106 * t138[k]) + (t107 * t137[k])) + (t108 * t136[k]));
    t152[k] = 0.5 * (1.81e-05 * (t151 + t151));
    double  t153  = (((t102 * t138[k]) + (t103 * t137[k])) + (t104 * t136[k]));
    double  t154  = (((t106 * t135[k]) + (t107 * t134[k])) + (t108 * t133[k]));
    t155[k] = 0.5 * (1.81e-05 * (t153 + t154));
    t156[k] = 0.5 * (1.81e-05 * (t148 + t147));
    t157[k] = 0.5 * (1.81e-05 * (t154 + t153));
    double  t158  = (((t102 * t135[k]) + (t103 * t134[k])) + (t104 * t133[k]));
    t159[k] = 0.5 * (1.81e-05 * (t158 + t158));
    double  t160  = (((t94 * t141[k]) + (t95 * t140[k])) + (t96 * t139[k]));
    t161[k] = 0.5 * (1.81e-05 * (t160 + t160));
    double  t162  = (((t90 * t141[k]) + (t91 * t140[k])) + (t92 * t139[k]));
    double  t163  = (((t94 * t138[k]) + (t95 * t137[k])) + (t96 * t136[k]));
    t164[k] = 0.5 * (1.81e-05 * (t162 + t163));
    double  t165  = (((t85 * t141[k]) + (t87 * t140[k])) + (t88 * t139[k]));
    double  t166  = (((t94 * t135[k]) + (t95 * t134[k])) + (t96 * t133[k]));
    t167[k] = 0.5 * (1.81e-05 * (t165 + t166));
    t168[k] = 0.5 * (1.81e-05 * (t163 + t162));
    double  t169  = (((t90 * t138[k]) + (t91 * t137[k])) + (t92 * t136[k]));
    t170[k] = 0.5 * (1.81e-05 * (t169 + t169));
    double  t171  = (((t85 * t138[k]) + (t87 * t137[k])) + (t88 * t136[k]));
    double  t172  = (((t90 * t135[k]) + (t91 * t134[k])) + (t92 * t133[k]));
    t173[k] = 0.5 * (1.81e-05 * (t171 + t172));
    t174[k] = 0.5 * (1.81e-05 * (t166 + t165));
    t175[k] = 0.5 * (1.81e-05 * (t172 + t171));
    double  t176  = (((t85 * t135[k]) + (t87 * t134[k])) + (t88 * t133[k]));
    t177[k] = 0.5 * (1.81e-05 * (t176 + t176));

  }

  for (int  j  = 0; j < 12; j += 1)
  {
    t178[j] = 0.5 * ((t141[j] * t110) + ((t140[j] * t111) + (t139[j] * t112)));
    t179[j] = 0.5 * ((t138[j] * t110) + ((t137[j] * t111) + (t136[j] * t112)));
    t180[j] = 0.5 * ((t135[j] * t110) + ((t134[j] * t111) + (t133[j] * t112)));
    t181[j] = 0.5 * ((t141[j] * t106) + ((t140[j] * t107) + (t139[j] * t108)));
    t182[j] = 0.5 * ((t138[j] * t106) + ((t137[j] * t107) + (t136[j] * t108)));
    t183[j] = 0.5 * ((t135[j] * t106) + ((t134[j] * t107) + (t133[j] * t108)));
    t184[j] = 0.5 * ((t141[j] * t102) + ((t140[j] * t103) + (t139[j] * t104)));
    t185[j] = 0.5 * ((t138[j] * t102) + ((t137[j] * t103) + (t136[j] * t104)));
    t186[j] = 0.5 * ((t135[j] * t102) + ((t134[j] * t103) + (t133[j] * t104)));
    t187[j] = 0.5 * ((t141[j] * t94) + ((t140[j] * t95) + (t139[j] * t96)));
    t188[j] = 0.5 * ((t138[j] * t94) + ((t137[j] * t95) + (t136[j] * t96)));
    t189[j] = 0.5 * ((t135[j] * t94) + ((t134[j] * t95) + (t133[j] * t96)));
    t190[j] = 0.5 * ((t141[j] * t90) + ((t140[j] * t91) + (t139[j] * t92)));
    t191[j] = 0.5 * ((t138[j] * t90) + ((t137[j] * t91) + (t136[j] * t92)));
    t192[j] = 0.5 * ((t135[j] * t90) + ((t134[j] * t91) + (t133[j] * t92)));
    t193[j] = 0.5 * ((t141[j] * t85) + ((t140[j] * t87) + (t139[j] * t88)));
    t194[j] = 0.5 * ((t138[j] * t85) + ((t137[j] * t87) + (t136[j] * t88)));
    t195[j] = 0.5 * ((t135[j] * t85) + ((t134[j] * t87) + (t133[j] * t88)));

  }
  double  c_42_0_0  = (t115 * (1.81e-05 * 2));
  double  c_46_0_0  = (t116 * (1.81e-05 * 2));
  double  c_50_0_0  = (t117 * (1.81e-05 * 2));
  double  c_51_0_0  = (t101 * (1.81e-05 * 2));
  double  c_55_0_0  = (t100 * (1.81e-05 * 2));
  double  c_59_0_0  = (t99 * (1.81e-05 * 2));
  double  c_84_0_0  = (t99 * t84);
  double  c_84_0_1  = (t99 * -1);
  double  c_84_0_2  = (t101 * t84);
  double  c_84_0_3  = (t100 * t84);
  double  c_84_0_4  = (t101 * -1);
  double  c_84_0_5  = (t100 * -1);
  double  j_84_0_0[12] ;
  double  k_84_0_0[12] ;
  double  k_84_0_1[12] ;
  double  k_84_0_2[12] ;
  double  k_84_0_3[12] ;
  double  k_84_0_4[12] ;
  double  k_84_0_5[12] ;
  double  c_85_0_0  = (t99 * t84);
  double  c_85_0_1  = (t100 * t84);
  double  c_85_0_2  = (t99 * -1);
  double  c_85_0_3  = (t101 * t84);
  double  c_85_0_4  = (t101 * -1);
  double  c_85_0_5  = (t100 * -1);
  double  j_85_0_0[12] ;
  double  j_85_0_1[12] ;
  double  j_85_0_2[12] ;
  double  k_85_0_0[12] ;
  double  k_85_0_1[12] ;
  double  k_85_0_2[12] ;
  double  k_85_0_3[12] ;
  double  k_85_0_4[12] ;
  double  k_85_0_5[12] ;
  double  c_86_0_0  = (t117 * -1);
  double  c_86_0_1  = (t116 * t84);
  double  c_86_0_2  = (t117 * t84);
  double  c_86_0_3  = (t115 * t84);
  double  c_86_0_4  = (t115 * -1);
  double  c_86_0_5  = (t116 * -1);
  double  k_86_0_0[12] ;
  double  k_86_0_1[12] ;
  double  k_86_0_2[12] ;
  double  k_86_0_3[12] ;
  double  k_86_0_4[12] ;
  double  k_86_0_5[12] ;
  double  j_86_0_0[12] ;
  double  c_87_0_0  = (t117 * -1);
  double  c_87_0_1  = (t117 * t84);
  double  c_87_0_2  = (t116 * t84);
  double  c_87_0_3  = (t115 * t84);
  double  c_87_0_4  = (t115 * -1);
  double  c_87_0_5  = (t116 * -1);
  double  k_87_0_0[12] ;
  double  k_87_0_1[12] ;
  double  k_87_0_2[12] ;
  double  k_87_0_3[12] ;
  double  k_87_0_4[12] ;
  double  j_87_0_0[12] ;
  double  j_87_0_1[12] ;
  double  j_87_0_2[12] ;

  for (int  j  = 0; j < 12; j += 1)
  {
    j_84_0_0[j] = t195[j] * -1;
    k_84_0_0[j] = t174[j] * c_84_0_1;
    k_84_0_1[j] = (t161[j] * c_84_0_4) + (t168[j] * c_84_0_5);
    k_84_0_2[j] = t175[j] * c_84_0_1;
    k_84_0_3[j] = (t170[j] * c_84_0_5) + (t164[j] * c_84_0_4);
    k_84_0_4[j] = t177[j] * c_84_0_1;
    k_84_0_5[j] = (t173[j] * c_84_0_5) + (t167[j] * c_84_0_4);
    j_85_0_0[j] = j_84_0_0[j];
    j_85_0_1[j] = t190[j] * -1;
    j_85_0_2[j] = t193[j] * -1;
    k_85_0_0[j] = t156[j] * c_85_0_2;
    k_85_0_1[j] = (t143[j] * c_85_0_4) + (t150[j] * c_85_0_5);
    k_85_0_2[j] = t159[j] * c_85_0_2;
    k_85_0_3[j] = (t149[j] * c_85_0_4) + (t155[j] * c_85_0_5);
    k_85_0_4[j] = t157[j] * c_85_0_2;
    k_85_0_5[j] = (t146[j] * c_85_0_4) + (t152[j] * c_85_0_5);
    k_86_0_0[j] = t177[j] * c_86_0_0;
    k_86_0_1[j] = (t167[j] * c_86_0_4) + (t173[j] * c_86_0_5);
    k_86_0_2[j] = t175[j] * c_86_0_0;
    k_86_0_3[j] = (t170[j] * c_86_0_5) + (t164[j] * c_86_0_4);
    k_86_0_4[j] = t174[j] * c_86_0_0;
    k_86_0_5[j] = (t161[j] * c_86_0_4) + (t168[j] * c_86_0_5);
    j_86_0_0[j] = t178[j] * -1;
    k_87_0_0[j] = t159[j] * c_87_0_0;
    k_87_0_1[j] = (t149[j] * c_87_0_4) + (t155[j] * c_87_0_5);
    k_87_0_2[j] = t157[j] * c_87_0_0;
    k_87_0_3[j] = (t146[j] * c_87_0_4) + (t152[j] * c_87_0_5);
    k_87_0_4[j] = (t156[j] * c_87_0_0) + ((t143[j] * c_87_0_4) + (t150[j] * c_87_0_5));
    j_87_0_0[j] = t181[j] * -1;
    j_87_0_1[j] = t184[j] * -1;
    j_87_0_2[j] = j_86_0_0[j];

  }

  for (int  ip  = 0; ip < 7; ip += 1)
  {
    double  t203[12] ;
    double  t204[12] ;
    double  t205[12] ;
    double  t207[12] ;
    double  t210[12] ;
    double  t213[12] ;
    double  t214[12] ;
    double  t216[12] ;
    double  t219[12] ;
    double  t220[12] ;
    double  t221[12] ;
    double  t223[12] ;
    double  t224[12] ;
    double  t225[12] ;
    double  t226[12] ;
    double  t228[12] ;
    double  t231[12] ;
    double  t234[12] ;
    double  t235[12] ;
    double  t237[12] ;
    double  t240[12] ;
    double  t241[12] ;
    double  t242[12] ;
    double  t244[12] ;
    double  t198  = 0.0;
    double  t197  = 0.0;
    double  t196  = 0.0;

    for (int  i_0  = 0; i_0 < 4; i_0 += 1)
    {
      t196 += t132[facet[0]][ip][i_0+8] * w_0[0][i_0+8];
      t197 += t131[facet[0]][ip][i_0+4] * w_0[0][i_0+4];
      t198 += t130[facet[0]][ip][i_0] * w_0[0][i_0];

    }
    double  t199  = (t129[ip] * t128);
    double  t200  = (((t117 * t198) + (t116 * t197)) + (t115 * t196));
    double  t201  = (0.5 + (0.5 * (t200 == 0 ? 0 : (t200 < 0 ? -1 : 1))));
    double  t202  = (1 + (-1 * t201));

    for (int  k  = 0; k < 12; k += 1)
    {
      t203[k] = t132[facet[1]][ip][k] * t201;
      t204[k] = t131[facet[1]][ip][k] * t201;
      t205[k] = t130[facet[1]][ip][k] * t201;
      t207[k] = t132[facet[1]][ip][k] * c_42_0_0;
      t210[k] = 1.81e-05 * ((t132[facet[1]][ip][k] * t116) + (t131[facet[1]][ip][k] * t115));
      t213[k] = 1.81e-05 * ((t132[facet[1]][ip][k] * t117) + (t130[facet[1]][ip][k] * t115));
      t214[k] = 1.81e-05 * ((t131[facet[1]][ip][k] * t115) + (t132[facet[1]][ip][k] * t116));
      t216[k] = t131[facet[1]][ip][k] * c_46_0_0;
      t219[k] = 1.81e-05 * ((t131[facet[1]][ip][k] * t117) + (t130[facet[1]][ip][k] * t116));
      t220[k] = 1.81e-05 * ((t130[facet[1]][ip][k] * t115) + (t132[facet[1]][ip][k] * t117));
      t221[k] = 1.81e-05 * ((t130[facet[1]][ip][k] * t116) + (t131[facet[1]][ip][k] * t117));
      t223[k] = t130[facet[1]][ip][k] * c_50_0_0;
      t224[k] = t132[facet[0]][ip][k] * t202;
      t225[k] = t131[facet[0]][ip][k] * t202;
      t226[k] = t130[facet[0]][ip][k] * t202;
      t228[k] = t132[facet[0]][ip][k] * c_51_0_0;
      t231[k] = 1.81e-05 * ((t132[facet[0]][ip][k] * t100) + (t131[facet[0]][ip][k] * t101));
      t234[k] = 1.81e-05 * ((t132[facet[0]][ip][k] * t99) + (t130[facet[0]][ip][k] * t101));
      t235[k] = 1.81e-05 * ((t131[facet[0]][ip][k] * t101) + (t132[facet[0]][ip][k] * t100));
      t237[k] = t131[facet[0]][ip][k] * c_55_0_0;
      t240[k] = 1.81e-05 * ((t131[facet[0]][ip][k] * t99) + (t130[facet[0]][ip][k] * t100));
      t241[k] = 1.81e-05 * ((t130[facet[0]][ip][k] * t101) + (t132[facet[0]][ip][k] * t99));
      t242[k] = 1.81e-05 * ((t130[facet[0]][ip][k] * t100) + (t131[facet[0]][ip][k] * t99));
      t244[k] = t130[facet[0]][ip][k] * c_59_0_0;

    }
    double  ip_78_0_0  = ((t117 * t198) + ((t116 * t197) + (t115 * t196)));
    double  ip_81_0_0  = ((t99 * t198) + ((t100 * t197) + (t101 * t196)));
    double  ip_k_84_0_0[12] ;
    double  ip_k_84_0_1[12] ;
    double  ip_k_84_0_2[12] ;
    double  ip_k_84_0_3[12] ;
    double  ip_k_84_0_4[12] ;
    double  ip_k_84_0_5[12] ;
    double  ip_k_84_0_6[12] ;
    double  ip_k_84_0_7[12] ;
    double  ip_k_84_0_8[12] ;
    double  ip_k_84_0_9[12] ;
    double  ip_k_84_0_10[12] ;
    double  ip_j_84_1_0[12] ;
    double  ip_k_84_1_0[12] ;
    double  ip_k_84_1_1[12] ;
    double  ip_k_84_1_2[12] ;
    double  ip_k_85_0_0[12] ;
    double  ip_k_85_0_1[12] ;
    double  ip_k_85_0_2[12] ;
    double  ip_k_85_0_3[12] ;
    double  ip_k_85_0_4[12] ;
    double  ip_k_85_0_5[12] ;
    double  ip_k_85_0_6[12] ;
    double  ip_j_85_1_0[12] ;
    double  ip_j_85_1_1[12] ;
    double  ip_j_85_1_2[12] ;
    double  ip_k_85_1_0[12] ;
    double  ip_k_85_1_1[12] ;
    double  ip_k_85_1_2[12] ;
    double  ip_k_86_0_0[12] ;
    double  ip_k_86_0_1[12] ;
    double  ip_k_86_0_2[12] ;
    double  ip_k_86_0_3[12] ;
    double  ip_k_86_0_4[12] ;
    double  ip_k_86_0_5[12] ;
    double  ip_k_86_0_6[12] ;
    double  ip_k_86_0_7[12] ;
    double  ip_k_86_0_8[12] ;
    double  ip_k_86_0_9[12] ;
    double  ip_k_86_1_0[12] ;
    double  ip_k_86_1_1[12] ;
    double  ip_k_86_1_2[12] ;
    double  ip_j_86_1_0[12] ;
    double  ip_k_87_0_0[12] ;
    double  ip_k_87_0_1[12] ;
    double  ip_k_87_0_2[12] ;
    double  ip_k_87_0_3[12] ;
    double  ip_k_87_0_4[12] ;
    double  ip_k_87_0_5[12] ;
    double  ip_k_87_0_6[12] ;
    double  ip_k_87_1_0[12] ;
    double  ip_k_87_1_1[12] ;
    double  ip_j_87_1_0[12] ;
    double  ip_j_87_1_1[12] ;
    double  ip_j_87_1_2[12] ;

    for (int  j  = 0; j < 12; j += 1)
    {
      ip_k_84_0_0[j] = t242[j] * -1;
      ip_k_84_0_1[j] = t237[j] * -1;
      ip_k_84_0_2[j] = t234[j] * -1;
      ip_k_84_0_3[j] = t130[facet[0]][ip][j] * t202;
      ip_k_84_0_4[j] = t231[j] * -1;
      ip_k_84_0_5[j] = t228[j] * -1;
      ip_k_84_0_6[j] = t132[facet[0]][ip][j] * t202;
      ip_k_84_0_7[j] = t240[j] * -1;
      ip_k_84_0_8[j] = t235[j] * -1;
      ip_k_84_0_9[j] = t241[j] * -1;
      ip_k_84_0_10[j] = t131[facet[0]][ip][j] * t202;
      ip_j_84_1_0[j] = j_84_0_0[j] + (t130[facet[0]][ip][j] * c_84_0_0);
      ip_k_84_1_0[j] = (k_84_0_0[j] + ((t228[j] * c_84_0_2) + (t241[j] * c_84_0_0))) + ((t235[j] * c_84_0_3) + k_84_0_1[j]);
      ip_k_84_1_1[j] = (k_84_0_2[j] + ((t231[j] * c_84_0_2) + (t237[j] * c_84_0_3))) + ((t242[j] * c_84_0_0) + k_84_0_3[j]);
      ip_k_84_1_2[j] = (k_84_0_4[j] + (t240[j] * c_84_0_3)) + ((t234[j] * c_84_0_2) + k_84_0_5[j]);
      ip_k_85_0_0[j] = t221[j] * -1;
      ip_k_85_0_1[j] = t213[j] * -1;
      ip_k_85_0_2[j] = t210[j] * -1;
      ip_k_85_0_3[j] = t207[j] * -1;
      ip_k_85_0_4[j] = t216[j] * -1;
      ip_k_85_0_5[j] = t132[facet[1]][ip][j] * t201;
      ip_k_85_0_6[j] = t219[j] * -1;
      ip_j_85_1_0[j] = j_85_0_0[j] + (t130[facet[0]][ip][j] * c_85_0_0);
      ip_j_85_1_1[j] = j_85_0_1[j] + (t132[facet[0]][ip][j] * c_85_0_1);
      ip_j_85_1_2[j] = j_85_0_2[j] + (t132[facet[0]][ip][j] * c_85_0_0);
      ip_k_85_1_0[j] = (k_85_0_0[j] + (t207[j] * c_85_0_3)) + k_85_0_1[j];
      ip_k_85_1_1[j] = (k_85_0_2[j] + (t219[j] * c_85_0_1)) + ((t213[j] * c_85_0_3) + k_85_0_3[j]);
      ip_k_85_1_2[j] = (k_85_0_4[j] + ((t216[j] * c_85_0_1) + (t221[j] * c_85_0_0))) + ((t210[j] * c_85_0_3) + k_85_0_5[j]);
      ip_k_86_0_0[j] = t244[j] * -1;
      ip_k_86_0_1[j] = ip_k_84_0_8[j];
      ip_k_86_0_2[j] = ip_k_84_0_2[j];
      ip_k_86_0_3[j] = ip_k_84_0_0[j];
      ip_k_86_0_4[j] = ip_k_84_0_9[j];
      ip_k_86_0_5[j] = ip_k_84_0_7[j];
      ip_k_86_0_6[j] = ip_k_84_0_3[j];
      ip_k_86_0_7[j] = ip_k_84_0_4[j];
      ip_k_86_0_8[j] = ip_k_84_0_10[j];
      ip_k_86_0_9[j] = ip_k_84_0_1[j];
      ip_k_86_1_0[j] = (k_86_0_0[j] + ((t240[j] * c_86_0_1) + (t244[j] * c_86_0_2))) + ((t234[j] * c_86_0_3) + k_86_0_1[j]);
      ip_k_86_1_1[j] = (k_86_0_2[j] + ((t231[j] * c_86_0_3) + (t242[j] * c_86_0_2))) + ((t237[j] * c_86_0_1) + k_86_0_3[j]);
      ip_k_86_1_2[j] = (k_86_0_4[j] + (t241[j] * c_86_0_2)) + ((t235[j] * c_86_0_1) + k_86_0_5[j]);
      ip_j_86_1_0[j] = j_86_0_0[j] + (t132[facet[1]][ip][j] * c_86_0_3);
      ip_k_87_0_0[j] = t223[j] * -1;
      ip_k_87_0_1[j] = ip_k_85_0_1[j];
      ip_k_87_0_2[j] = ip_k_85_0_0[j];
      ip_k_87_0_3[j] = t130[facet[1]][ip][j] * t201;
      ip_k_87_0_4[j] = ip_k_85_0_6[j];
      ip_k_87_0_5[j] = ip_k_85_0_2[j];
      ip_k_87_0_6[j] = ip_k_85_0_4[j];
      ip_k_87_1_0[j] = (k_87_0_0[j] + ((t223[j] * c_87_0_1) + (t219[j] * c_87_0_2))) + ((t213[j] * c_87_0_3) + k_87_0_1[j]);
      ip_k_87_1_1[j] = (k_87_0_2[j] + ((t216[j] * c_87_0_2) + (t221[j] * c_87_0_1))) + ((t210[j] * c_87_0_3) + k_87_0_3[j]);
      ip_j_87_1_0[j] = j_87_0_0[j] + (t132[facet[1]][ip][j] * c_87_0_2);
      ip_j_87_1_1[j] = j_87_0_1[j] + (t132[facet[1]][ip][j] * c_87_0_1);
      ip_j_87_1_2[j] = j_87_0_2[j] + (t132[facet[1]][ip][j] * c_87_0_3);

    }

    for (int  j  = 0; j < 12; j += 1)
    {
      double  t245  = (t132[facet[1]][ip][j] * t117);
      double  t246  = (t132[facet[1]][ip][j] * t116);
      double  t247  = (t132[facet[1]][ip][j] * t115);
      double  t248  = (t132[facet[1]][ip][j] * ip_78_0_0);
      double  t249  = (t131[facet[1]][ip][j] * t117);
      double  t250  = (t131[facet[1]][ip][j] * t116);
      double  t251  = (t131[facet[1]][ip][j] * t115);
      double  t252  = (t131[facet[1]][ip][j] * ip_78_0_0);
      double  t253  = (t130[facet[1]][ip][j] * t117);
      double  t254  = (t130[facet[1]][ip][j] * t116);
      double  t255  = (t130[facet[1]][ip][j] * t115);
      double  t256  = (t130[facet[1]][ip][j] * ip_78_0_0);
      double  t257  = (t132[facet[0]][ip][j] * t99);
      double  t258  = (t132[facet[0]][ip][j] * t100);
      double  t259  = (t132[facet[0]][ip][j] * t101);
      double  t260  = (t132[facet[0]][ip][j] * ip_81_0_0);
      double  t261  = (t131[facet[0]][ip][j] * t99);
      double  t262  = (t131[facet[0]][ip][j] * t100);
      double  t263  = (t131[facet[0]][ip][j] * t101);
      double  t264  = (t131[facet[0]][ip][j] * ip_81_0_0);
      double  t265  = (t130[facet[0]][ip][j] * t99);
      double  t266  = (t130[facet[0]][ip][j] * t100);
      double  t267  = (t130[facet[0]][ip][j] * t101);
      double  t268  = (t130[facet[0]][ip][j] * ip_81_0_0);
      double  ip_j_85_0_0  = (t268 * t201);
      double  ip_j_85_0_1  = (t264 * t201);
      double  ip_j_86_0_0  = (t248 * t202);
      double  ip_j_87_0_0  = (t252 * t201);
      double  ip_j_87_0_1  = (t248 * t201);

      for (int  k  = 0; k < 4; k += 1)
      {
        A01[j][k+4] += (t131[facet[1]][ip][k+4] * ip_j_85_0_1) * t199;
        A01[j][k] += (t130[facet[1]][ip][k] * ip_j_85_0_0) * t199;
        A10[j][k+8] += (t132[facet[0]][ip][k+8] * ip_j_86_0_0) * t199;
        A11[j][k+8] += (t132[facet[1]][ip][k+8] * ip_j_87_0_1) * t199;
        A11[j][k+4] += (t131[facet[1]][ip][k+4] * ip_j_87_0_0) * t199;

      }

      for (int  k  = 0; k < 12; k += 1)
      {
        A00[j][k] += t199 * ((((t264 * ip_k_84_0_10[k]) + ((t193[j] * ip_k_84_0_9[k]) + (t189[j] * ip_k_84_0_2[k]))) + (((t187[j] * ip_k_84_0_5[k]) + (t192[j] * ip_k_84_0_7[k])) + ((t190[j] * ip_k_84_0_8[k]) + (t260 * ip_k_84_0_6[k])))) + ((((t268 * ip_k_84_0_3[k]) + (t188[j] * ip_k_84_0_4[k])) + ((t131[facet[0]][ip][j] * ip_k_84_1_1[k]) + (t194[j] * ip_k_84_0_0[k]))) + (((t191[j] * ip_k_84_0_1[k]) + (t130[facet[0]][ip][j] * ip_k_84_1_2[k])) + ((t244[k] * ip_j_84_1_0[j]) + (t132[facet[0]][ip][j] * ip_k_84_1_0[k])))));
        A01[j][k] += t199 * ((((t192[j] * ip_k_85_0_6[k]) + ((t194[j] * ip_k_85_0_0[k]) + (t188[j] * ip_k_85_0_2[k]))) + ((t191[j] * ip_k_85_0_4[k]) + ((t260 * ip_k_85_0_5[k]) + (t187[j] * ip_k_85_0_3[k])))) + (((t189[j] * ip_k_85_0_1[k]) + ((t220[k] * ip_j_85_1_2[j]) + (t130[facet[0]][ip][j] * ip_k_85_1_1[k]))) + (((t131[facet[0]][ip][j] * ip_k_85_1_2[k]) + (t132[facet[0]][ip][j] * ip_k_85_1_0[k])) + ((t223[k] * ip_j_85_1_0[j]) + (t214[k] * ip_j_85_1_1[j])))));
        A10[j][k] += t199 * ((((t182[j] * ip_k_86_0_9[k]) + ((t252 * ip_k_86_0_8[k]) + (t180[j] * ip_k_86_0_2[k]))) + (((t256 * ip_k_86_0_6[k]) + (t179[j] * ip_k_86_0_7[k])) + ((t183[j] * ip_k_86_0_5[k]) + (t185[j] * ip_k_86_0_3[k])))) + (((t184[j] * ip_k_86_0_4[k]) + ((t131[facet[1]][ip][j] * ip_k_86_1_1[k]) + (t132[facet[1]][ip][j] * ip_k_86_1_2[k]))) + (((t181[j] * ip_k_86_0_1[k]) + (t228[k] * ip_j_86_1_0[j])) + ((t186[j] * ip_k_86_0_0[k]) + (t130[facet[1]][ip][j] * ip_k_86_1_0[k])))));
        A11[j][k] += t199 * ((((t182[j] * ip_k_87_0_6[k]) + ((t132[facet[1]][ip][j] * k_87_0_4[k]) + (t256 * ip_k_87_0_3[k]))) + ((t179[j] * ip_k_87_0_5[k]) + ((t183[j] * ip_k_87_0_4[k]) + (t180[j] * ip_k_87_0_1[k])))) + (((t185[j] * ip_k_87_0_2[k]) + ((t214[k] * ip_j_87_1_0[j]) + (t131[facet[1]][ip][j] * ip_k_87_1_1[k]))) + (((t207[k] * ip_j_87_1_2[j]) + (t220[k] * ip_j_87_1_1[j])) + ((t186[j] * ip_k_87_0_0[k]) + (t130[facet[1]][ip][j] * ip_k_87_1_0[k])))));

      }

    }

  }
  A[0][0] = A00[0][0];
  A[0][1] = A00[0][1];
  A[0][2] = A00[0][2];
  A[0][3] = A00[0][3];
  A[0][4] = A01[0][0];
  A[0][5] = A01[0][1];
  A[0][6] = A01[0][2];
  A[0][7] = A01[0][3];
  A[0][8] = A00[0][4];
  A[0][9] = A00[0][5];
  A[0][10] = A00[0][6];
  A[0][11] = A00[0][7];
  A[0][12] = A01[0][4];
  A[0][13] = A01[0][5];
  A[0][14] = A01[0][6];
  A[0][15] = A01[0][7];
  A[0][16] = A00[0][8];
  A[0][17] = A00[0][9];
  A[0][18] = A00[0][10];
  A[0][19] = A00[0][11];
  A[0][20] = A01[0][8];
  A[0][21] = A01[0][9];
  A[0][22] = A01[0][10];
  A[0][23] = A01[0][11];
  A[1][0] = A00[1][0];
  A[1][1] = A00[1][1];
  A[1][2] = A00[1][2];
  A[1][3] = A00[1][3];
  A[1][4] = A01[1][0];
  A[1][5] = A01[1][1];
  A[1][6] = A01[1][2];
  A[1][7] = A01[1][3];
  A[1][8] = A00[1][4];
  A[1][9] = A00[1][5];
  A[1][10] = A00[1][6];
  A[1][11] = A00[1][7];
  A[1][12] = A01[1][4];
  A[1][13] = A01[1][5];
  A[1][14] = A01[1][6];
  A[1][15] = A01[1][7];
  A[1][16] = A00[1][8];
  A[1][17] = A00[1][9];
  A[1][18] = A00[1][10];
  A[1][19] = A00[1][11];
  A[1][20] = A01[1][8];
  A[1][21] = A01[1][9];
  A[1][22] = A01[1][10];
  A[1][23] = A01[1][11];
  A[2][0] = A00[2][0];
  A[2][1] = A00[2][1];
  A[2][2] = A00[2][2];
  A[2][3] = A00[2][3];
  A[2][4] = A01[2][0];
  A[2][5] = A01[2][1];
  A[2][6] = A01[2][2];
  A[2][7] = A01[2][3];
  A[2][8] = A00[2][4];
  A[2][9] = A00[2][5];
  A[2][10] = A00[2][6];
  A[2][11] = A00[2][7];
  A[2][12] = A01[2][4];
  A[2][13] = A01[2][5];
  A[2][14] = A01[2][6];
  A[2][15] = A01[2][7];
  A[2][16] = A00[2][8];
  A[2][17] = A00[2][9];
  A[2][18] = A00[2][10];
  A[2][19] = A00[2][11];
  A[2][20] = A01[2][8];
  A[2][21] = A01[2][9];
  A[2][22] = A01[2][10];
  A[2][23] = A01[2][11];
  A[3][0] = A00[3][0];
  A[3][1] = A00[3][1];
  A[3][2] = A00[3][2];
  A[3][3] = A00[3][3];
  A[3][4] = A01[3][0];
  A[3][5] = A01[3][1];
  A[3][6] = A01[3][2];
  A[3][7] = A01[3][3];
  A[3][8] = A00[3][4];
  A[3][9] = A00[3][5];
  A[3][10] = A00[3][6];
  A[3][11] = A00[3][7];
  A[3][12] = A01[3][4];
  A[3][13] = A01[3][5];
  A[3][14] = A01[3][6];
  A[3][15] = A01[3][7];
  A[3][16] = A00[3][8];
  A[3][17] = A00[3][9];
  A[3][18] = A00[3][10];
  A[3][19] = A00[3][11];
  A[3][20] = A01[3][8];
  A[3][21] = A01[3][9];
  A[3][22] = A01[3][10];
  A[3][23] = A01[3][11];
  A[4][0] = A10[0][0];
  A[4][1] = A10[0][1];
  A[4][2] = A10[0][2];
  A[4][3] = A10[0][3];
  A[4][4] = A11[0][0];
  A[4][5] = A11[0][1];
  A[4][6] = A11[0][2];
  A[4][7] = A11[0][3];
  A[4][8] = A10[0][4];
  A[4][9] = A10[0][5];
  A[4][10] = A10[0][6];
  A[4][11] = A10[0][7];
  A[4][12] = A11[0][4];
  A[4][13] = A11[0][5];
  A[4][14] = A11[0][6];
  A[4][15] = A11[0][7];
  A[4][16] = A10[0][8];
  A[4][17] = A10[0][9];
  A[4][18] = A10[0][10];
  A[4][19] = A10[0][11];
  A[4][20] = A11[0][8];
  A[4][21] = A11[0][9];
  A[4][22] = A11[0][10];
  A[4][23] = A11[0][11];
  A[5][0] = A10[1][0];
  A[5][1] = A10[1][1];
  A[5][2] = A10[1][2];
  A[5][3] = A10[1][3];
  A[5][4] = A11[1][0];
  A[5][5] = A11[1][1];
  A[5][6] = A11[1][2];
  A[5][7] = A11[1][3];
  A[5][8] = A10[1][4];
  A[5][9] = A10[1][5];
  A[5][10] = A10[1][6];
  A[5][11] = A10[1][7];
  A[5][12] = A11[1][4];
  A[5][13] = A11[1][5];
  A[5][14] = A11[1][6];
  A[5][15] = A11[1][7];
  A[5][16] = A10[1][8];
  A[5][17] = A10[1][9];
  A[5][18] = A10[1][10];
  A[5][19] = A10[1][11];
  A[5][20] = A11[1][8];
  A[5][21] = A11[1][9];
  A[5][22] = A11[1][10];
  A[5][23] = A11[1][11];
  A[6][0] = A10[2][0];
  A[6][1] = A10[2][1];
  A[6][2] = A10[2][2];
  A[6][3] = A10[2][3];
  A[6][4] = A11[2][0];
  A[6][5] = A11[2][1];
  A[6][6] = A11[2][2];
  A[6][7] = A11[2][3];
  A[6][8] = A10[2][4];
  A[6][9] = A10[2][5];
  A[6][10] = A10[2][6];
  A[6][11] = A10[2][7];
  A[6][12] = A11[2][4];
  A[6][13] = A11[2][5];
  A[6][14] = A11[2][6];
  A[6][15] = A11[2][7];
  A[6][16] = A10[2][8];
  A[6][17] = A10[2][9];
  A[6][18] = A10[2][10];
  A[6][19] = A10[2][11];
  A[6][20] = A11[2][8];
  A[6][21] = A11[2][9];
  A[6][22] = A11[2][10];
  A[6][23] = A11[2][11];
  A[7][0] = A10[3][0];
  A[7][1] = A10[3][1];
  A[7][2] = A10[3][2];
  A[7][3] = A10[3][3];
  A[7][4] = A11[3][0];
  A[7][5] = A11[3][1];
  A[7][6] = A11[3][2];
  A[7][7] = A11[3][3];
  A[7][8] = A10[3][4];
  A[7][9] = A10[3][5];
  A[7][10] = A10[3][6];
  A[7][11] = A10[3][7];
  A[7][12] = A11[3][4];
  A[7][13] = A11[3][5];
  A[7][14] = A11[3][6];
  A[7][15] = A11[3][7];
  A[7][16] = A10[3][8];
  A[7][17] = A10[3][9];
  A[7][18] = A10[3][10];
  A[7][19] = A10[3][11];
  A[7][20] = A11[3][8];
  A[7][21] = A11[3][9];
  A[7][22] = A11[3][10];
  A[7][23] = A11[3][11];
  A[8][0] = A00[4][0];
  A[8][1] = A00[4][1];
  A[8][2] = A00[4][2];
  A[8][3] = A00[4][3];
  A[8][4] = A01[4][0];
  A[8][5] = A01[4][1];
  A[8][6] = A01[4][2];
  A[8][7] = A01[4][3];
  A[8][8] = A00[4][4];
  A[8][9] = A00[4][5];
  A[8][10] = A00[4][6];
  A[8][11] = A00[4][7];
  A[8][12] = A01[4][4];
  A[8][13] = A01[4][5];
  A[8][14] = A01[4][6];
  A[8][15] = A01[4][7];
  A[8][16] = A00[4][8];
  A[8][17] = A00[4][9];
  A[8][18] = A00[4][10];
  A[8][19] = A00[4][11];
  A[8][20] = A01[4][8];
  A[8][21] = A01[4][9];
  A[8][22] = A01[4][10];
  A[8][23] = A01[4][11];
  A[9][0] = A00[5][0];
  A[9][1] = A00[5][1];
  A[9][2] = A00[5][2];
  A[9][3] = A00[5][3];
  A[9][4] = A01[5][0];
  A[9][5] = A01[5][1];
  A[9][6] = A01[5][2];
  A[9][7] = A01[5][3];
  A[9][8] = A00[5][4];
  A[9][9] = A00[5][5];
  A[9][10] = A00[5][6];
  A[9][11] = A00[5][7];
  A[9][12] = A01[5][4];
  A[9][13] = A01[5][5];
  A[9][14] = A01[5][6];
  A[9][15] = A01[5][7];
  A[9][16] = A00[5][8];
  A[9][17] = A00[5][9];
  A[9][18] = A00[5][10];
  A[9][19] = A00[5][11];
  A[9][20] = A01[5][8];
  A[9][21] = A01[5][9];
  A[9][22] = A01[5][10];
  A[9][23] = A01[5][11];
  A[10][0] = A00[6][0];
  A[10][1] = A00[6][1];
  A[10][2] = A00[6][2];
  A[10][3] = A00[6][3];
  A[10][4] = A01[6][0];
  A[10][5] = A01[6][1];
  A[10][6] = A01[6][2];
  A[10][7] = A01[6][3];
  A[10][8] = A00[6][4];
  A[10][9] = A00[6][5];
  A[10][10] = A00[6][6];
  A[10][11] = A00[6][7];
  A[10][12] = A01[6][4];
  A[10][13] = A01[6][5];
  A[10][14] = A01[6][6];
  A[10][15] = A01[6][7];
  A[10][16] = A00[6][8];
  A[10][17] = A00[6][9];
  A[10][18] = A00[6][10];
  A[10][19] = A00[6][11];
  A[10][20] = A01[6][8];
  A[10][21] = A01[6][9];
  A[10][22] = A01[6][10];
  A[10][23] = A01[6][11];
  A[11][0] = A00[7][0];
  A[11][1] = A00[7][1];
  A[11][2] = A00[7][2];
  A[11][3] = A00[7][3];
  A[11][4] = A01[7][0];
  A[11][5] = A01[7][1];
  A[11][6] = A01[7][2];
  A[11][7] = A01[7][3];
  A[11][8] = A00[7][4];
  A[11][9] = A00[7][5];
  A[11][10] = A00[7][6];
  A[11][11] = A00[7][7];
  A[11][12] = A01[7][4];
  A[11][13] = A01[7][5];
  A[11][14] = A01[7][6];
  A[11][15] = A01[7][7];
  A[11][16] = A00[7][8];
  A[11][17] = A00[7][9];
  A[11][18] = A00[7][10];
  A[11][19] = A00[7][11];
  A[11][20] = A01[7][8];
  A[11][21] = A01[7][9];
  A[11][22] = A01[7][10];
  A[11][23] = A01[7][11];
  A[12][0] = A10[4][0];
  A[12][1] = A10[4][1];
  A[12][2] = A10[4][2];
  A[12][3] = A10[4][3];
  A[12][4] = A11[4][0];
  A[12][5] = A11[4][1];
  A[12][6] = A11[4][2];
  A[12][7] = A11[4][3];
  A[12][8] = A10[4][4];
  A[12][9] = A10[4][5];
  A[12][10] = A10[4][6];
  A[12][11] = A10[4][7];
  A[12][12] = A11[4][4];
  A[12][13] = A11[4][5];
  A[12][14] = A11[4][6];
  A[12][15] = A11[4][7];
  A[12][16] = A10[4][8];
  A[12][17] = A10[4][9];
  A[12][18] = A10[4][10];
  A[12][19] = A10[4][11];
  A[12][20] = A11[4][8];
  A[12][21] = A11[4][9];
  A[12][22] = A11[4][10];
  A[12][23] = A11[4][11];
  A[13][0] = A10[5][0];
  A[13][1] = A10[5][1];
  A[13][2] = A10[5][2];
  A[13][3] = A10[5][3];
  A[13][4] = A11[5][0];
  A[13][5] = A11[5][1];
  A[13][6] = A11[5][2];
  A[13][7] = A11[5][3];
  A[13][8] = A10[5][4];
  A[13][9] = A10[5][5];
  A[13][10] = A10[5][6];
  A[13][11] = A10[5][7];
  A[13][12] = A11[5][4];
  A[13][13] = A11[5][5];
  A[13][14] = A11[5][6];
  A[13][15] = A11[5][7];
  A[13][16] = A10[5][8];
  A[13][17] = A10[5][9];
  A[13][18] = A10[5][10];
  A[13][19] = A10[5][11];
  A[13][20] = A11[5][8];
  A[13][21] = A11[5][9];
  A[13][22] = A11[5][10];
  A[13][23] = A11[5][11];
  A[14][0] = A10[6][0];
  A[14][1] = A10[6][1];
  A[14][2] = A10[6][2];
  A[14][3] = A10[6][3];
  A[14][4] = A11[6][0];
  A[14][5] = A11[6][1];
  A[14][6] = A11[6][2];
  A[14][7] = A11[6][3];
  A[14][8] = A10[6][4];
  A[14][9] = A10[6][5];
  A[14][10] = A10[6][6];
  A[14][11] = A10[6][7];
  A[14][12] = A11[6][4];
  A[14][13] = A11[6][5];
  A[14][14] = A11[6][6];
  A[14][15] = A11[6][7];
  A[14][16] = A10[6][8];
  A[14][17] = A10[6][9];
  A[14][18] = A10[6][10];
  A[14][19] = A10[6][11];
  A[14][20] = A11[6][8];
  A[14][21] = A11[6][9];
  A[14][22] = A11[6][10];
  A[14][23] = A11[6][11];
  A[15][0] = A10[7][0];
  A[15][1] = A10[7][1];
  A[15][2] = A10[7][2];
  A[15][3] = A10[7][3];
  A[15][4] = A11[7][0];
  A[15][5] = A11[7][1];
  A[15][6] = A11[7][2];
  A[15][7] = A11[7][3];
  A[15][8] = A10[7][4];
  A[15][9] = A10[7][5];
  A[15][10] = A10[7][6];
  A[15][11] = A10[7][7];
  A[15][12] = A11[7][4];
  A[15][13] = A11[7][5];
  A[15][14] = A11[7][6];
  A[15][15] = A11[7][7];
  A[15][16] = A10[7][8];
  A[15][17] = A10[7][9];
  A[15][18] = A10[7][10];
  A[15][19] = A10[7][11];
  A[15][20] = A11[7][8];
  A[15][21] = A11[7][9];
  A[15][22] = A11[7][10];
  A[15][23] = A11[7][11];
  A[16][0] = A00[8][0];
  A[16][1] = A00[8][1];
  A[16][2] = A00[8][2];
  A[16][3] = A00[8][3];
  A[16][4] = A01[8][0];
  A[16][5] = A01[8][1];
  A[16][6] = A01[8][2];
  A[16][7] = A01[8][3];
  A[16][8] = A00[8][4];
  A[16][9] = A00[8][5];
  A[16][10] = A00[8][6];
  A[16][11] = A00[8][7];
  A[16][12] = A01[8][4];
  A[16][13] = A01[8][5];
  A[16][14] = A01[8][6];
  A[16][15] = A01[8][7];
  A[16][16] = A00[8][8];
  A[16][17] = A00[8][9];
  A[16][18] = A00[8][10];
  A[16][19] = A00[8][11];
  A[16][20] = A01[8][8];
  A[16][21] = A01[8][9];
  A[16][22] = A01[8][10];
  A[16][23] = A01[8][11];
  A[17][0] = A00[9][0];
  A[17][1] = A00[9][1];
  A[17][2] = A00[9][2];
  A[17][3] = A00[9][3];
  A[17][4] = A01[9][0];
  A[17][5] = A01[9][1];
  A[17][6] = A01[9][2];
  A[17][7] = A01[9][3];
  A[17][8] = A00[9][4];
  A[17][9] = A00[9][5];
  A[17][10] = A00[9][6];
  A[17][11] = A00[9][7];
  A[17][12] = A01[9][4];
  A[17][13] = A01[9][5];
  A[17][14] = A01[9][6];
  A[17][15] = A01[9][7];
  A[17][16] = A00[9][8];
  A[17][17] = A00[9][9];
  A[17][18] = A00[9][10];
  A[17][19] = A00[9][11];
  A[17][20] = A01[9][8];
  A[17][21] = A01[9][9];
  A[17][22] = A01[9][10];
  A[17][23] = A01[9][11];
  A[18][0] = A00[10][0];
  A[18][1] = A00[10][1];
  A[18][2] = A00[10][2];
  A[18][3] = A00[10][3];
  A[18][4] = A01[10][0];
  A[18][5] = A01[10][1];
  A[18][6] = A01[10][2];
  A[18][7] = A01[10][3];
  A[18][8] = A00[10][4];
  A[18][9] = A00[10][5];
  A[18][10] = A00[10][6];
  A[18][11] = A00[10][7];
  A[18][12] = A01[10][4];
  A[18][13] = A01[10][5];
  A[18][14] = A01[10][6];
  A[18][15] = A01[10][7];
  A[18][16] = A00[10][8];
  A[18][17] = A00[10][9];
  A[18][18] = A00[10][10];
  A[18][19] = A00[10][11];
  A[18][20] = A01[10][8];
  A[18][21] = A01[10][9];
  A[18][22] = A01[10][10];
  A[18][23] = A01[10][11];
  A[19][0] = A00[11][0];
  A[19][1] = A00[11][1];
  A[19][2] = A00[11][2];
  A[19][3] = A00[11][3];
  A[19][4] = A01[11][0];
  A[19][5] = A01[11][1];
  A[19][6] = A01[11][2];
  A[19][7] = A01[11][3];
  A[19][8] = A00[11][4];
  A[19][9] = A00[11][5];
  A[19][10] = A00[11][6];
  A[19][11] = A00[11][7];
  A[19][12] = A01[11][4];
  A[19][13] = A01[11][5];
  A[19][14] = A01[11][6];
  A[19][15] = A01[11][7];
  A[19][16] = A00[11][8];
  A[19][17] = A00[11][9];
  A[19][18] = A00[11][10];
  A[19][19] = A00[11][11];
  A[19][20] = A01[11][8];
  A[19][21] = A01[11][9];
  A[19][22] = A01[11][10];
  A[19][23] = A01[11][11];
  A[20][0] = A10[8][0];
  A[20][1] = A10[8][1];
  A[20][2] = A10[8][2];
  A[20][3] = A10[8][3];
  A[20][4] = A11[8][0];
  A[20][5] = A11[8][1];
  A[20][6] = A11[8][2];
  A[20][7] = A11[8][3];
  A[20][8] = A10[8][4];
  A[20][9] = A10[8][5];
  A[20][10] = A10[8][6];
  A[20][11] = A10[8][7];
  A[20][12] = A11[8][4];
  A[20][13] = A11[8][5];
  A[20][14] = A11[8][6];
  A[20][15] = A11[8][7];
  A[20][16] = A10[8][8];
  A[20][17] = A10[8][9];
  A[20][18] = A10[8][10];
  A[20][19] = A10[8][11];
  A[20][20] = A11[8][8];
  A[20][21] = A11[8][9];
  A[20][22] = A11[8][10];
  A[20][23] = A11[8][11];
  A[21][0] = A10[9][0];
  A[21][1] = A10[9][1];
  A[21][2] = A10[9][2];
  A[21][3] = A10[9][3];
  A[21][4] = A11[9][0];
  A[21][5] = A11[9][1];
  A[21][6] = A11[9][2];
  A[21][7] = A11[9][3];
  A[21][8] = A10[9][4];
  A[21][9] = A10[9][5];
  A[21][10] = A10[9][6];
  A[21][11] = A10[9][7];
  A[21][12] = A11[9][4];
  A[21][13] = A11[9][5];
  A[21][14] = A11[9][6];
  A[21][15] = A11[9][7];
  A[21][16] = A10[9][8];
  A[21][17] = A10[9][9];
  A[21][18] = A10[9][10];
  A[21][19] = A10[9][11];
  A[21][20] = A11[9][8];
  A[21][21] = A11[9][9];
  A[21][22] = A11[9][10];
  A[21][23] = A11[9][11];
  A[22][0] = A10[10][0];
  A[22][1] = A10[10][1];
  A[22][2] = A10[10][2];
  A[22][3] = A10[10][3];
  A[22][4] = A11[10][0];
  A[22][5] = A11[10][1];
  A[22][6] = A11[10][2];
  A[22][7] = A11[10][3];
  A[22][8] = A10[10][4];
  A[22][9] = A10[10][5];
  A[22][10] = A10[10][6];
  A[22][11] = A10[10][7];
  A[22][12] = A11[10][4];
  A[22][13] = A11[10][5];
  A[22][14] = A11[10][6];
  A[22][15] = A11[10][7];
  A[22][16] = A10[10][8];
  A[22][17] = A10[10][9];
  A[22][18] = A10[10][10];
  A[22][19] = A10[10][11];
  A[22][20] = A11[10][8];
  A[22][21] = A11[10][9];
  A[22][22] = A11[10][10];
  A[22][23] = A11[10][11];
  A[23][0] = A10[11][0];
  A[23][1] = A10[11][1];
  A[23][2] = A10[11][2];
  A[23][3] = A10[11][3];
  A[23][4] = A11[11][0];
  A[23][5] = A11[11][1];
  A[23][6] = A11[11][2];
  A[23][7] = A11[11][3];
  A[23][8] = A10[11][4];
  A[23][9] = A10[11][5];
  A[23][10] = A10[11][6];
  A[23][11] = A10[11][7];
  A[23][12] = A11[11][4];
  A[23][13] = A11[11][5];
  A[23][14] = A11[11][6];
  A[23][15] = A11[11][7];
  A[23][16] = A10[11][8];
  A[23][17] = A10[11][9];
  A[23][18] = A10[11][10];
  A[23][19] = A10[11][11];
  A[23][20] = A11[11][8];
  A[23][21] = A11[11][9];
  A[23][22] = A11[11][10];
  A[23][23] = A11[11][11];

}

        void wrap_form00_interior_facet_integral_otherwise(int start, int end,
                      Mat arg0_0_, int *arg0_0_map0_0, int *arg0_0_map1_0, double *arg1_0, int *arg1_0_map0_0, double *arg2_0, int *arg2_0_map0_0, unsigned int *arg3_0
                      ) {
  Mat arg0_0_0 = arg0_0_;
  double *arg1_0_vec[24];
    double *arg2_0_vec[24];
  for ( int n = start; n < end; n++ ) {
    int i = n;
    arg1_0_vec[0] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3;
    arg1_0_vec[1] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3;
    arg1_0_vec[2] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3;
    arg1_0_vec[3] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3;
    arg1_0_vec[4] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3;
    arg1_0_vec[5] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3;
    arg1_0_vec[6] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3;
    arg1_0_vec[7] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3;
    arg1_0_vec[8] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3 + 1;
    arg1_0_vec[9] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3 + 1;
    arg1_0_vec[10] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3 + 1;
    arg1_0_vec[11] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3 + 1;
    arg1_0_vec[12] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3 + 1;
    arg1_0_vec[13] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3 + 1;
    arg1_0_vec[14] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3 + 1;
    arg1_0_vec[15] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3 + 1;
    arg1_0_vec[16] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3 + 2;
    arg1_0_vec[17] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3 + 2;
    arg1_0_vec[18] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3 + 2;
    arg1_0_vec[19] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3 + 2;
    arg1_0_vec[20] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3 + 2;
    arg1_0_vec[21] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3 + 2;
    arg1_0_vec[22] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3 + 2;
    arg1_0_vec[23] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3 + 2;
    arg2_0_vec[0] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3;
    arg2_0_vec[1] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3;
    arg2_0_vec[2] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3;
    arg2_0_vec[3] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3;
    arg2_0_vec[4] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3;
    arg2_0_vec[5] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3;
    arg2_0_vec[6] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3;
    arg2_0_vec[7] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3;
    arg2_0_vec[8] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3 + 1;
    arg2_0_vec[9] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3 + 1;
    arg2_0_vec[10] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3 + 1;
    arg2_0_vec[11] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3 + 1;
    arg2_0_vec[12] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3 + 1;
    arg2_0_vec[13] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3 + 1;
    arg2_0_vec[14] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3 + 1;
    arg2_0_vec[15] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3 + 1;
    arg2_0_vec[16] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3 + 2;
    arg2_0_vec[17] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3 + 2;
    arg2_0_vec[18] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3 + 2;
    arg2_0_vec[19] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3 + 2;
    arg2_0_vec[20] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3 + 2;
    arg2_0_vec[21] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3 + 2;
    arg2_0_vec[22] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3 + 2;
    arg2_0_vec[23] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3 + 2;
    double buffer_arg0_0[24][24] __attribute__((aligned(16))) = {{0.0}};
    form00_interior_facet_integral_otherwise(buffer_arg0_0, arg1_0_vec, arg2_0_vec, arg3_0 + (i * 2));
                    double tmp_buffer_arg0_0[24][24] __attribute__((aligned(16)));
                    for ( int j = 0; j < 8; j++ ) {
                       for ( int k = 0; k < 3; k++ ) {
                          for ( int l = 0; l < 8; l++ ) {
                             for ( int m = 0; m < 3; m++ ) {
                                tmp_buffer_arg0_0[3*j + k][3*l + m] = buffer_arg0_0[j + 8*k][l + 8*m];
                             }
                          }
                       }
                    }
    MatSetValuesBlockedLocal(arg0_0_0, 8, arg0_0_map0_0 + i * 8,
                                             8, arg0_0_map1_0 + i * 8,
                                             (const PetscScalar *)tmp_buffer_arg0_0,
                                             ADD_VALUES);;
  }
}

and


        #include <petsc.h>
        #include <stdbool.h>
        #include <math.h>

            #include <immintrin.h>

static inline void form00_interior_facet_integral_otherwise (double  A[24][24] , const double *restrict *restrict coords , const double *restrict *restrict w_0_ , const unsigned int  facet[2] )
{
  double  A00[12][12]  = {0.0};
  double  A01[12][12]  = {0.0};
  double  A10[12][12]  = {0.0};
  double  A11[12][12]  = {0.0};
  double  w_0[2][12] ;

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i] = w_0_[i][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[1][i] = w_0_[i+4][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i+4] = w_0_[i+8][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[1][i+4] = w_0_[i+12][0];

  }

  for (int  i  = 0; i < 4; i += 1)
  {
    w_0[0][i+8] = w_0_[i+16][0];
    w_0[1][i+8] = w_0_[i+20][0];

  }
  double  t143[12] ;
  double  t146[12] ;
  double  t149[12] ;
  double  t150[12] ;
  double  t152[12] ;
  double  t155[12] ;
  double  t156[12] ;
  double  t157[12] ;
  double  t159[12] ;
  double  t161[12] ;
  double  t164[12] ;
  double  t167[12] ;
  double  t168[12] ;
  double  t170[12] ;
  double  t173[12] ;
  double  t174[12] ;
  double  t175[12] ;
  double  t177[12] ;
  double  t178[12] ;
  double  t179[12] ;
  double  t180[12] ;
  double  t181[12] ;
  double  t182[12] ;
  double  t183[12] ;
  double  t184[12] ;
  double  t185[12] ;
  double  t186[12] ;
  double  t187[12] ;
  double  t188[12] ;
  double  t189[12] ;
  double  t190[12] ;
  double  t191[12] ;
  double  t192[12] ;
  double  t193[12] ;
  double  t194[12] ;
  double  t195[12] ;
  double  t0  = (-1 * coords[0][0]);
  double  t1  = (t0 + (1 * coords[2][0]));
  double  t2  = (-1 * t1);
  double  t3  = (t0 + (1 * coords[3][0]));
  double  t4  = (1 * t3);
  double  t5  = (t2 + t4);
  double  t6  = (-1 * coords[8][0]);
  double  t7  = (t6 + (1 * coords[10][0]));
  double  t8  = (t6 + (1 * coords[11][0]));
  double  t9  = (1 * t8);
  double  t10  = ((-1 * t7) + t9);
  double  t11  = (-1 * coords[16][0]);
  double  t12  = (t11 + (1 * coords[18][0]));
  double  t13  = (t11 + (1 * coords[19][0]));
  double  t14  = (1 * t13);
  double  t15  = ((-1 * t12) + t14);
  double  t16  = (t0 + (1 * coords[1][0]));
  double  t17  = (1 * t16);
  double  t18  = (t6 + (1 * coords[9][0]));
  double  t19  = (1 * t18);
  double  t20  = (t11 + (1 * coords[17][0]));
  double  t21  = (1 * t20);
  double  t22  = (sqrt(((t5 * t5) + (t10 * t10)) + (t15 * t15)) * sqrt(((t17 * t17) + (t19 * t19)) + (t21 * t21)));
  double  t23  = (-1 * t16);
  double  t24  = (1 * t1);
  double  t25  = (t23 + t24);
  double  t26  = (-1 * t18);
  double  t27  = (1 * t7);
  double  t28  = (t26 + t27);
  double  t29  = (-1 * t20);
  double  t30  = (1 * t12);
  double  t31  = (t29 + t30);
  double  t32  = (sqrt(((t25 * t25) + (t28 * t28)) + (t31 * t31)) * sqrt(((t4 * t4) + (t9 * t9)) + (t14 * t14)));
  double  t33  = (t23 + t4);
  double  t34  = (t26 + t9);
  double  t35  = (t29 + t14);
  double  t36  = (sqrt(((t33 * t33) + (t34 * t34)) + (t35 * t35)) * sqrt(((t24 * t24) + (t27 * t27)) + (t30 * t30)));
  double  t37  = (((t32 + t36) + t22) / 2);
  double  t38  = ((t7 * t13) + (-1 * (t8 * t12)));
  double  t39  = (t8 * t20);
  double  t40  = ((t18 * t12) + (-1 * (t7 * t20)));
  double  t41  = (((t16 * t38) + (t1 * (t39 + (-1 * (t18 * t13))))) + (t3 * t40));
  double  t42  = (-1 * coords[4][0]);
  double  t43  = (t42 + (1 * coords[6][0]));
  double  t44  = (-1 * t43);
  double  t45  = (t42 + (1 * coords[7][0]));
  double  t46  = (1 * t45);
  double  t47  = (t44 + t46);
  double  t48  = (-1 * coords[12][0]);
  double  t49  = (t48 + (1 * coords[14][0]));
  double  t50  = (t48 + (1 * coords[15][0]));
  double  t51  = (1 * t50);
  double  t52  = ((-1 * t49) + t51);
  double  t53  = (-1 * coords[20][0]);
  double  t54  = (t53 + (1 * coords[22][0]));
  double  t55  = (t53 + (1 * coords[23][0]));
  double  t56  = (1 * t55);
  double  t57  = ((-1 * t54) + t56);
  double  t58  = (t42 + (1 * coords[5][0]));
  double  t59  = (1 * t58);
  double  t60  = (t48 + (1 * coords[13][0]));
  double  t61  = (1 * t60);
  double  t62  = (t53 + (1 * coords[21][0]));
  double  t63  = (1 * t62);
  double  t64  = (sqrt(((t47 * t47) + (t52 * t52)) + (t57 * t57)) * sqrt(((t59 * t59) + (t61 * t61)) + (t63 * t63)));
  double  t65  = (-1 * t58);
  double  t66  = (1 * t43);
  double  t67  = (t65 + t66);
  double  t68  = (-1 * t60);
  double  t69  = (1 * t49);
  double  t70  = (t68 + t69);
  double  t71  = (-1 * t62);
  double  t72  = (1 * t54);
  double  t73  = (t71 + t72);
  double  t74  = (sqrt(((t67 * t67) + (t70 * t70)) + (t73 * t73)) * sqrt(((t46 * t46) + (t51 * t51)) + (t56 * t56)));
  double  t75  = (t65 + t46);
  double  t76  = (t68 + t51);
  double  t77  = (t71 + t56);
  double  t78  = (sqrt(((t75 * t75) + (t76 * t76)) + (t77 * t77)) * sqrt(((t66 * t66) + (t69 * t69)) + (t72 * t72)));
  double  t79  = (((t74 + t78) + t64) / 2);
  double  t80  = ((t49 * t55) + (-1 * (t50 * t54)));
  double  t81  = (t50 * t62);
  double  t82  = ((t60 * t54) + (-1 * (t49 * t62)));
  double  t83  = (((t58 * t80) + (t43 * (t81 + (-1 * (t60 * t55))))) + (t45 * t82));
  double  t84  = (340.27690917706 / (0.5 * ((2 * (sqrt(((-1 * t22) + t37) * (((-1 * t36) + t37) * (((-1 * t32) + t37) * t37))) / (6 * (0.16666666666667 * fabs(t41))))) + (2 * (sqrt(((-1 * t64) + t79) * (((-1 * t78) + t79) * (((-1 * t74) + t79) * t79))) / (6 * (0.16666666666667 * fabs(t83))))))));
  double  t85  = (t38 / t41);
  static const double  t86[4][3]  = {{1.0, 1.0, 1.0}, 
  {-1.0, 0.0, 0.0}, 
  {0.0, -1.0, 0.0}, 
  {0.0, 0.0, -1.0}};
  double  t87  = ((t39 + (t18 * (-1 * t13))) / t41);
  double  t88  = (t40 / t41);
  double  t89  = (((t85 * t86[facet[0]][0]) + (t87 * t86[facet[0]][1])) + (t88 * t86[facet[0]][2]));
  double  t90  = (((t3 * t12) + (t13 * t2)) / t41);
  double  t91  = (((t16 * t13) + (t20 * (-1 * t3))) / t41);
  double  t92  = (((t1 * t20) + (-1 * (t16 * t12))) / t41);
  double  t93  = (((t90 * t86[facet[0]][0]) + (t91 * t86[facet[0]][1])) + (t92 * t86[facet[0]][2]));
  double  t94  = (((t1 * t8) + (-1 * (t3 * t7))) / t41);
  double  t95  = (((t3 * t18) + (-1 * (t16 * t8))) / t41);
  double  t96  = (((t16 * t7) + (-1 * (t1 * t18))) / t41);
  double  t97  = (((t94 * t86[facet[0]][0]) + (t95 * t86[facet[0]][1])) + (t96 * t86[facet[0]][2]));
  double  t98  = sqrt(((t89 * t89) + (t93 * t93)) + (t97 * t97));
  double  t99  = (t89 / t98);
  double  t100  = (t93 / t98);
  double  t101  = (t97 / t98);
  double  t102  = (t80 / t83);
  double  t103  = ((t81 + (t60 * (-1 * t55))) / t83);
  double  t104  = (t82 / t83);
  double  t105  = (((t102 * t86[facet[1]][0]) + (t103 * t86[facet[1]][1])) + (t104 * t86[facet[1]][2]));
  double  t106  = (((t45 * t54) + (t55 * t44)) / t83);
  double  t107  = (((t58 * t55) + (t62 * (-1 * t45))) / t83);
  double  t108  = (((t43 * t62) + (-1 * (t58 * t54))) / t83);
  double  t109  = (((t106 * t86[facet[1]][0]) + (t107 * t86[facet[1]][1])) + (t108 * t86[facet[1]][2]));
  double  t110  = (((t43 * t50) + (-1 * (t45 * t49))) / t83);
  double  t111  = (((t45 * t60) + (-1 * (t58 * t50))) / t83);
  double  t112  = (((t58 * t49) + (-1 * (t43 * t60))) / t83);
  double  t113  = (((t110 * t86[facet[1]][0]) + (t111 * t86[facet[1]][1])) + (t112 * t86[facet[1]][2]));
  double  t114  = sqrt(((t105 * t105) + (t109 * t109)) + (t113 * t113));
  double  t115  = (t113 / t114);
  double  t116  = (t109 / t114);
  double  t117  = (t105 / t114);
  static const double  t118[4][3][2]  = {{{-1.0, -1.0}, 
  {1.0, 0.0}, 
  {0.0, 1.0}}, 
  {{0.0, 0.0}, 
  {1.0, 0.0}, 
  {0.0, 1.0}}, 
  {{1.0, 0.0}, 
  {0.0, 0.0}, 
  {0.0, 1.0}}, 
  {{1.0, 0.0}, 
  {0.0, 1.0}, 
  {0.0, 0.0}}};
  double  t119  = (((t118[facet[0]][0][0] * t18) + (t118[facet[0]][1][0] * t7)) + (t118[facet[0]][2][0] * t8));
  double  t120  = (((t118[facet[0]][0][1] * t20) + (t118[facet[0]][1][1] * t12)) + (t118[facet[0]][2][1] * t13));
  double  t121  = (((t118[facet[0]][0][1] * t18) + (t118[facet[0]][1][1] * t7)) + (t118[facet[0]][2][1] * t8));
  double  t122  = (((t118[facet[0]][0][0] * t20) + (t118[facet[0]][1][0] * t12)) + (t118[facet[0]][2][0] * t13));
  double  t123  = ((t119 * t120) + (-1 * (t121 * t122)));
  double  t124  = (((t118[facet[0]][0][1] * t16) + (t118[facet[0]][1][1] * t1)) + (t118[facet[0]][2][1] * t3));
  double  t125  = (((t118[facet[0]][0][0] * t16) + (t118[facet[0]][1][0] * t1)) + (t118[facet[0]][2][0] * t3));
  double  t126  = ((t124 * t122) + (-1 * (t125 * t120)));
  double  t127  = ((t125 * t121) + (-1 * (t124 * t119)));
  double  t128  = sqrt(((t123 * t123) + (t126 * t126)) + (t127 * t127));
  static const double  t129[7]  = {0.1125, 0.0629695902724136, 0.0629695902724136, 0.0629695902724136, 0.0661970763942531, 0.0661970763942531, 0.0661970763942531};
  static const double  t130[4][7][12]  = {{{0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0}}};
  static const double  t131[4][7][12]  = {{{0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115, 0.0, 0.0, 0.0, 0.0}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0, 0.0, 0.0, 0.0, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0, 0.0, 0.0, 0.0, 0.0}}};
  static const double  t132[4][7][12]  = {{{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.797426985353087, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.470142064105115, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.0, 0.333333333333333, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.797426985353087, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.0, 0.101286507323456, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.0, 0.101286507323456, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.0597158717897697, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0, 0.470142064105115, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0597158717897699, 0.0, 0.470142064105115, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.0, 0.333333333333333}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.0, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.101286507323456, 0.0, 0.797426985353087}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.0, 0.101286507323456}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897698, 0.0, 0.470142064105115}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0, 0.0597158717897698}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.0, 0.470142064105115}}, 
  {{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.333333333333333, 0.333333333333333, 0.333333333333333, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323457, 0.797426985353087, 0.101286507323456, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.101286507323456, 0.101286507323456, 0.797426985353087, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.797426985353087, 0.101286507323456, 0.101286507323456, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.0597158717897697, 0.470142064105115, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.470142064105115, 0.470142064105115, 0.0597158717897698, 0.0}, 
  {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.05971587178977, 0.470142064105115, 0.470142064105115, 0.0}}};
  static const double  t133[12]  = {-1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t134[12]  = {-1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t135[12]  = {-1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t136[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t137[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t138[12]  = {0.0, 0.0, 0.0, 0.0, -1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
  static const double  t139[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 0.0, 1.0};
  static const double  t140[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 0.0, 1.0, 0.0};
  static const double  t141[12]  = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -1.0, 1.0, 0.0, 0.0};

  for (int  k  = 0; k < 12; k += 1)
  {
    double  t142  = (((t110 * t141[k]) + (t111 * t140[k])) + (t112 * t139[k]));
    t143[k] = 0.5 * (1.81e-05 * (t142 + t142));
    double  t144  = (((t106 * t141[k]) + (t107 * t140[k])) + (t108 * t139[k]));
    double  t145  = (((t110 * t138[k]) + (t111 * t137[k])) + (t112 * t136[k]));
    t146[k] = 0.5 * (1.81e-05 * (t144 + t145));
    double  t147  = (((t102 * t141[k]) + (t103 * t140[k])) + (t104 * t139[k]));
    double  t148  = (((t110 * t135[k]) + (t111 * t134[k])) + (t112 * t133[k]));
    t149[k] = 0.5 * (1.81e-05 * (t147 + t148));
    t150[k] = 0.5 * (1.81e-05 * (t145 + t144));
    double  t151  = (((t106 * t138[k]) + (t107 * t137[k])) + (t108 * t136[k]));
    t152[k] = 0.5 * (1.81e-05 * (t151 + t151));
    double  t153  = (((t102 * t138[k]) + (t103 * t137[k])) + (t104 * t136[k]));
    double  t154  = (((t106 * t135[k]) + (t107 * t134[k])) + (t108 * t133[k]));
    t155[k] = 0.5 * (1.81e-05 * (t153 + t154));
    t156[k] = 0.5 * (1.81e-05 * (t148 + t147));
    t157[k] = 0.5 * (1.81e-05 * (t154 + t153));
    double  t158  = (((t102 * t135[k]) + (t103 * t134[k])) + (t104 * t133[k]));
    t159[k] = 0.5 * (1.81e-05 * (t158 + t158));
    double  t160  = (((t94 * t141[k]) + (t95 * t140[k])) + (t96 * t139[k]));
    t161[k] = 0.5 * (1.81e-05 * (t160 + t160));
    double  t162  = (((t90 * t141[k]) + (t91 * t140[k])) + (t92 * t139[k]));
    double  t163  = (((t94 * t138[k]) + (t95 * t137[k])) + (t96 * t136[k]));
    t164[k] = 0.5 * (1.81e-05 * (t162 + t163));
    double  t165  = (((t85 * t141[k]) + (t87 * t140[k])) + (t88 * t139[k]));
    double  t166  = (((t94 * t135[k]) + (t95 * t134[k])) + (t96 * t133[k]));
    t167[k] = 0.5 * (1.81e-05 * (t165 + t166));
    t168[k] = 0.5 * (1.81e-05 * (t163 + t162));
    double  t169  = (((t90 * t138[k]) + (t91 * t137[k])) + (t92 * t136[k]));
    t170[k] = 0.5 * (1.81e-05 * (t169 + t169));
    double  t171  = (((t85 * t138[k]) + (t87 * t137[k])) + (t88 * t136[k]));
    double  t172  = (((t90 * t135[k]) + (t91 * t134[k])) + (t92 * t133[k]));
    t173[k] = 0.5 * (1.81e-05 * (t171 + t172));
    t174[k] = 0.5 * (1.81e-05 * (t166 + t165));
    t175[k] = 0.5 * (1.81e-05 * (t172 + t171));
    double  t176  = (((t85 * t135[k]) + (t87 * t134[k])) + (t88 * t133[k]));
    t177[k] = 0.5 * (1.81e-05 * (t176 + t176));

  }

  for (int  j  = 0; j < 12; j += 1)
  {
    t178[j] = 0.5 * ((t141[j] * t110) + ((t140[j] * t111) + (t139[j] * t112)));
    t179[j] = 0.5 * ((t138[j] * t110) + ((t137[j] * t111) + (t136[j] * t112)));
    t180[j] = 0.5 * ((t135[j] * t110) + ((t134[j] * t111) + (t133[j] * t112)));
    t181[j] = 0.5 * ((t141[j] * t106) + ((t140[j] * t107) + (t139[j] * t108)));
    t182[j] = 0.5 * ((t138[j] * t106) + ((t137[j] * t107) + (t136[j] * t108)));
    t183[j] = 0.5 * ((t135[j] * t106) + ((t134[j] * t107) + (t133[j] * t108)));
    t184[j] = 0.5 * ((t141[j] * t102) + ((t140[j] * t103) + (t139[j] * t104)));
    t185[j] = 0.5 * ((t138[j] * t102) + ((t137[j] * t103) + (t136[j] * t104)));
    t186[j] = 0.5 * ((t135[j] * t102) + ((t134[j] * t103) + (t133[j] * t104)));
    t187[j] = 0.5 * ((t141[j] * t94) + ((t140[j] * t95) + (t139[j] * t96)));
    t188[j] = 0.5 * ((t138[j] * t94) + ((t137[j] * t95) + (t136[j] * t96)));
    t189[j] = 0.5 * ((t135[j] * t94) + ((t134[j] * t95) + (t133[j] * t96)));
    t190[j] = 0.5 * ((t141[j] * t90) + ((t140[j] * t91) + (t139[j] * t92)));
    t191[j] = 0.5 * ((t138[j] * t90) + ((t137[j] * t91) + (t136[j] * t92)));
    t192[j] = 0.5 * ((t135[j] * t90) + ((t134[j] * t91) + (t133[j] * t92)));
    t193[j] = 0.5 * ((t141[j] * t85) + ((t140[j] * t87) + (t139[j] * t88)));
    t194[j] = 0.5 * ((t138[j] * t85) + ((t137[j] * t87) + (t136[j] * t88)));
    t195[j] = 0.5 * ((t135[j] * t85) + ((t134[j] * t87) + (t133[j] * t88)));

  }
  double  c_42_0_0  = (t115 * (1.81e-05 * 2));
  double  c_46_0_0  = (t116 * (1.81e-05 * 2));
  double  c_50_0_0  = (t117 * (1.81e-05 * 2));
  double  c_51_0_0  = (t101 * (1.81e-05 * 2));
  double  c_55_0_0  = (t100 * (1.81e-05 * 2));
  double  c_59_0_0  = (t99 * (1.81e-05 * 2));
  double  c_84_0_0  = (t99 * t84);
  double  c_84_0_1  = (t99 * -1);
  double  c_84_0_2  = (t101 * t84);
  double  c_84_0_3  = (t100 * t84);
  double  c_84_0_4  = (t101 * -1);
  double  c_84_0_5  = (t100 * -1);
  double  k_84_0_0[12] ;
  double  k_84_0_1[12] ;
  double  k_84_0_2[12] ;
  double  k_84_0_3[12] ;
  double  k_84_0_4[12] ;
  double  k_84_0_5[12] ;
  double  c_85_0_0  = (t99 * t84);
  double  c_85_0_1  = (t100 * t84);
  double  c_85_0_2  = (t99 * -1);
  double  c_85_0_3  = (t101 * t84);
  double  c_85_0_4  = (t101 * -1);
  double  c_85_0_5  = (t100 * -1);
  double  j_85_0_0[12] ;
  double  j_85_0_1[12] ;
  double  j_85_0_2[12] ;
  double  k_85_0_0[12] ;
  double  k_85_0_1[12] ;
  double  k_85_0_2[12] ;
  double  k_85_0_3[12] ;
  double  k_85_0_4[12] ;
  double  k_85_0_5[12] ;
  double  c_86_0_0  = (t117 * -1);
  double  c_86_0_1  = (t116 * t84);
  double  c_86_0_2  = (t117 * t84);
  double  c_86_0_3  = (t115 * t84);
  double  c_86_0_4  = (t115 * -1);
  double  c_86_0_5  = (t116 * -1);
  double  k_86_0_0[12] ;
  double  k_86_0_1[12] ;
  double  k_86_0_2[12] ;
  double  k_86_0_3[12] ;
  double  k_86_0_4[12] ;
  double  k_86_0_5[12] ;
  double  c_87_0_0  = (t117 * -1);
  double  c_87_0_1  = (t117 * t84);
  double  c_87_0_2  = (t116 * t84);
  double  c_87_0_3  = (t115 * t84);
  double  c_87_0_4  = (t115 * -1);
  double  c_87_0_5  = (t116 * -1);
  double  k_87_0_0[12] ;
  double  k_87_0_1[12] ;
  double  k_87_0_2[12] ;
  double  k_87_0_3[12] ;
  double  k_87_0_4[12] ;
  double  j_87_0_0[12] ;
  double  j_87_0_1[12] ;
  double  j_87_0_2[12] ;

  for (int  j  = 0; j < 12; j += 1)
  {
    k_84_0_0[j] = t174[j] * c_84_0_1;
    k_84_0_1[j] = (t161[j] * c_84_0_4) + (t168[j] * c_84_0_5);
    k_84_0_2[j] = t175[j] * c_84_0_1;
    k_84_0_3[j] = (t170[j] * c_84_0_5) + (t164[j] * c_84_0_4);
    k_84_0_4[j] = t177[j] * c_84_0_1;
    k_84_0_5[j] = (t173[j] * c_84_0_5) + (t167[j] * c_84_0_4);
    j_85_0_0[j] = t195[j] * -1;
    j_85_0_1[j] = t190[j] * -1;
    j_85_0_2[j] = t193[j] * -1;
    k_85_0_0[j] = t156[j] * c_85_0_2;
    k_85_0_1[j] = (t143[j] * c_85_0_4) + (t150[j] * c_85_0_5);
    k_85_0_2[j] = t159[j] * c_85_0_2;
    k_85_0_3[j] = (t149[j] * c_85_0_4) + (t155[j] * c_85_0_5);
    k_85_0_4[j] = t157[j] * c_85_0_2;
    k_85_0_5[j] = (t146[j] * c_85_0_4) + (t152[j] * c_85_0_5);
    k_86_0_0[j] = t177[j] * c_86_0_0;
    k_86_0_1[j] = (t167[j] * c_86_0_4) + (t173[j] * c_86_0_5);
    k_86_0_2[j] = t175[j] * c_86_0_0;
    k_86_0_3[j] = (t170[j] * c_86_0_5) + (t164[j] * c_86_0_4);
    k_86_0_4[j] = t174[j] * c_86_0_0;
    k_86_0_5[j] = (t161[j] * c_86_0_4) + (t168[j] * c_86_0_5);
    k_87_0_0[j] = t159[j] * c_87_0_0;
    k_87_0_1[j] = (t149[j] * c_87_0_4) + (t155[j] * c_87_0_5);
    k_87_0_2[j] = t157[j] * c_87_0_0;
    k_87_0_3[j] = (t146[j] * c_87_0_4) + (t152[j] * c_87_0_5);
    k_87_0_4[j] = (t156[j] * c_87_0_0) + ((t143[j] * c_87_0_4) + (t150[j] * c_87_0_5));
    j_87_0_0[j] = t181[j] * -1;
    j_87_0_1[j] = t184[j] * -1;
    j_87_0_2[j] = t178[j] * -1;

  }

  for (int  ip  = 0; ip < 7; ip += 1)
  {
    double  t203[12] ;
    double  t204[12] ;
    double  t205[12] ;
    double  t207[12] ;
    double  t210[12] ;
    double  t213[12] ;
    double  t214[12] ;
    double  t216[12] ;
    double  t219[12] ;
    double  t220[12] ;
    double  t221[12] ;
    double  t223[12] ;
    double  t224[12] ;
    double  t225[12] ;
    double  t226[12] ;
    double  t228[12] ;
    double  t231[12] ;
    double  t234[12] ;
    double  t235[12] ;
    double  t237[12] ;
    double  t240[12] ;
    double  t241[12] ;
    double  t242[12] ;
    double  t244[12] ;
    double  t198  = 0.0;
    double  t197  = 0.0;
    double  t196  = 0.0;

    for (int  i_0  = 0; i_0 < 4; i_0 += 1)
    {
      t196 += t132[facet[0]][ip][i_0+8] * w_0[0][i_0+8];
      t197 += t131[facet[0]][ip][i_0+4] * w_0[0][i_0+4];
      t198 += t130[facet[0]][ip][i_0] * w_0[0][i_0];

    }
    double  t199  = (t129[ip] * t128);
    double  t200  = (((t117 * t198) + (t116 * t197)) + (t115 * t196));
    double  t201  = (0.5 + (0.5 * (t200 == 0 ? 0 : (t200 < 0 ? -1 : 1))));
    double  t202  = (1 + (-1 * t201));

    for (int  k  = 0; k < 12; k += 1)
    {
      t203[k] = t132[facet[1]][ip][k] * t201;
      t204[k] = t131[facet[1]][ip][k] * t201;
      t205[k] = t130[facet[1]][ip][k] * t201;
      t207[k] = t132[facet[1]][ip][k] * c_42_0_0;
      t210[k] = 1.81e-05 * ((t132[facet[1]][ip][k] * t116) + (t131[facet[1]][ip][k] * t115));
      t213[k] = 1.81e-05 * ((t132[facet[1]][ip][k] * t117) + (t130[facet[1]][ip][k] * t115));
      t214[k] = 1.81e-05 * ((t131[facet[1]][ip][k] * t115) + (t132[facet[1]][ip][k] * t116));
      t216[k] = t131[facet[1]][ip][k] * c_46_0_0;
      t219[k] = 1.81e-05 * ((t131[facet[1]][ip][k] * t117) + (t130[facet[1]][ip][k] * t116));
      t220[k] = 1.81e-05 * ((t130[facet[1]][ip][k] * t115) + (t132[facet[1]][ip][k] * t117));
      t221[k] = 1.81e-05 * ((t130[facet[1]][ip][k] * t116) + (t131[facet[1]][ip][k] * t117));
      t223[k] = t130[facet[1]][ip][k] * c_50_0_0;
      t224[k] = t132[facet[0]][ip][k] * t202;
      t225[k] = t131[facet[0]][ip][k] * t202;
      t226[k] = t130[facet[0]][ip][k] * t202;
      t228[k] = t132[facet[0]][ip][k] * c_51_0_0;
      t231[k] = 1.81e-05 * ((t132[facet[0]][ip][k] * t100) + (t131[facet[0]][ip][k] * t101));
      t234[k] = 1.81e-05 * ((t132[facet[0]][ip][k] * t99) + (t130[facet[0]][ip][k] * t101));
      t235[k] = 1.81e-05 * ((t131[facet[0]][ip][k] * t101) + (t132[facet[0]][ip][k] * t100));
      t237[k] = t131[facet[0]][ip][k] * c_55_0_0;
      t240[k] = 1.81e-05 * ((t131[facet[0]][ip][k] * t99) + (t130[facet[0]][ip][k] * t100));
      t241[k] = 1.81e-05 * ((t130[facet[0]][ip][k] * t101) + (t132[facet[0]][ip][k] * t99));
      t242[k] = 1.81e-05 * ((t130[facet[0]][ip][k] * t100) + (t131[facet[0]][ip][k] * t99));
      t244[k] = t130[facet[0]][ip][k] * c_59_0_0;

    }
    double  ip_78_0_0  = ((t117 * t198) + ((t116 * t197) + (t115 * t196)));
    double  ip_81_0_0  = ((t99 * t198) + ((t100 * t197) + (t101 * t196)));
    double  ip_k_84_0_0[12] ;
    double  ip_k_84_0_1[12] ;
    double  ip_k_84_0_2[12] ;
    double  ip_k_84_0_3[12] ;
    double  ip_k_84_0_4[12] ;
    double  ip_k_84_0_5[12] ;
    double  ip_k_84_0_6[12] ;
    double  ip_k_84_0_7[12] ;
    double  ip_k_84_0_8[12] ;
    double  ip_k_84_0_9[12] ;
    double  ip_k_84_0_10[12] ;
    double  ip_j_84_1_0[12] ;
    double  ip_k_84_1_0[12] ;
    double  ip_k_84_1_1[12] ;
    double  ip_k_84_1_2[12] ;
    double  ip_k_85_0_0[12] ;
    double  ip_k_85_0_1[12] ;
    double  ip_k_85_0_2[12] ;
    double  ip_k_85_0_3[12] ;
    double  ip_k_85_0_4[12] ;
    double  ip_k_85_0_5[12] ;
    double  ip_k_85_0_6[12] ;
    double  ip_j_85_1_0[12] ;
    double  ip_j_85_1_1[12] ;
    double  ip_j_85_1_2[12] ;
    double  ip_k_85_1_0[12] ;
    double  ip_k_85_1_1[12] ;
    double  ip_k_85_1_2[12] ;
    double  ip_k_86_0_0[12] ;
    double  ip_k_86_0_1[12] ;
    double  ip_k_86_0_2[12] ;
    double  ip_k_86_0_3[12] ;
    double  ip_k_86_0_4[12] ;
    double  ip_k_86_0_5[12] ;
    double  ip_k_86_0_6[12] ;
    double  ip_k_86_0_7[12] ;
    double  ip_k_86_0_8[12] ;
    double  ip_k_86_0_9[12] ;
    double  ip_k_86_1_0[12] ;
    double  ip_k_86_1_1[12] ;
    double  ip_k_86_1_2[12] ;
    double  ip_j_86_1_0[12] ;
    double  ip_k_87_0_0[12] ;
    double  ip_k_87_0_1[12] ;
    double  ip_k_87_0_2[12] ;
    double  ip_k_87_0_3[12] ;
    double  ip_k_87_0_4[12] ;
    double  ip_k_87_0_5[12] ;
    double  ip_k_87_0_6[12] ;
    double  ip_k_87_1_0[12] ;
    double  ip_k_87_1_1[12] ;
    double  ip_j_87_1_0[12] ;
    double  ip_j_87_1_1[12] ;
    double  ip_j_87_1_2[12] ;

    for (int  j  = 0; j < 12; j += 1)
    {
      ip_k_84_0_0[j] = t242[j] * -1;
      ip_k_84_0_1[j] = t237[j] * -1;
      ip_k_84_0_2[j] = t234[j] * -1;
      ip_k_84_0_3[j] = t130[facet[0]][ip][j] * t202;
      ip_k_84_0_4[j] = t231[j] * -1;
      ip_k_84_0_5[j] = t228[j] * -1;
      ip_k_84_0_6[j] = t132[facet[0]][ip][j] * t202;
      ip_k_84_0_7[j] = t240[j] * -1;
      ip_k_84_0_8[j] = t235[j] * -1;
      ip_k_84_0_9[j] = t241[j] * -1;
      ip_k_84_0_10[j] = t131[facet[0]][ip][j] * t202;
      ip_j_84_1_0[j] = j_85_0_0[j] + (t130[facet[0]][ip][j] * c_84_0_0);
      ip_k_84_1_0[j] = (k_84_0_0[j] + ((t228[j] * c_84_0_2) + (t241[j] * c_84_0_0))) + ((t235[j] * c_84_0_3) + k_84_0_1[j]);
      ip_k_84_1_1[j] = (k_84_0_2[j] + ((t231[j] * c_84_0_2) + (t237[j] * c_84_0_3))) + ((t242[j] * c_84_0_0) + k_84_0_3[j]);
      ip_k_84_1_2[j] = (k_84_0_4[j] + (t240[j] * c_84_0_3)) + ((t234[j] * c_84_0_2) + k_84_0_5[j]);
      ip_k_85_0_0[j] = t221[j] * -1;
      ip_k_85_0_1[j] = t213[j] * -1;
      ip_k_85_0_2[j] = t210[j] * -1;
      ip_k_85_0_3[j] = t207[j] * -1;
      ip_k_85_0_4[j] = t216[j] * -1;
      ip_k_85_0_5[j] = t132[facet[1]][ip][j] * t201;
      ip_k_85_0_6[j] = t219[j] * -1;
      ip_j_85_1_0[j] = j_85_0_0[j] + (t130[facet[0]][ip][j] * c_85_0_0);
      ip_j_85_1_1[j] = j_85_0_1[j] + (t132[facet[0]][ip][j] * c_85_0_1);
      ip_j_85_1_2[j] = j_85_0_2[j] + (t132[facet[0]][ip][j] * c_85_0_0);
      ip_k_85_1_0[j] = (k_85_0_0[j] + (t207[j] * c_85_0_3)) + k_85_0_1[j];
      ip_k_85_1_1[j] = (k_85_0_2[j] + (t219[j] * c_85_0_1)) + ((t213[j] * c_85_0_3) + k_85_0_3[j]);
      ip_k_85_1_2[j] = (k_85_0_4[j] + ((t216[j] * c_85_0_1) + (t221[j] * c_85_0_0))) + ((t210[j] * c_85_0_3) + k_85_0_5[j]);
      ip_k_86_0_0[j] = t244[j] * -1;
      ip_k_86_0_1[j] = ip_k_84_0_8[j];
      ip_k_86_0_2[j] = ip_k_84_0_2[j];
      ip_k_86_0_3[j] = ip_k_84_0_0[j];
      ip_k_86_0_4[j] = ip_k_84_0_9[j];
      ip_k_86_0_5[j] = ip_k_84_0_7[j];
      ip_k_86_0_6[j] = ip_k_84_0_3[j];
      ip_k_86_0_7[j] = ip_k_84_0_4[j];
      ip_k_86_0_8[j] = ip_k_84_0_10[j];
      ip_k_86_0_9[j] = ip_k_84_0_1[j];
      ip_k_86_1_0[j] = (k_86_0_0[j] + ((t240[j] * c_86_0_1) + (t244[j] * c_86_0_2))) + ((t234[j] * c_86_0_3) + k_86_0_1[j]);
      ip_k_86_1_1[j] = (k_86_0_2[j] + ((t231[j] * c_86_0_3) + (t242[j] * c_86_0_2))) + ((t237[j] * c_86_0_1) + k_86_0_3[j]);
      ip_k_86_1_2[j] = (k_86_0_4[j] + (t241[j] * c_86_0_2)) + ((t235[j] * c_86_0_1) + k_86_0_5[j]);
      ip_j_86_1_0[j] = j_87_0_2[j] + (t132[facet[1]][ip][j] * c_86_0_3);
      ip_k_87_0_0[j] = t223[j] * -1;
      ip_k_87_0_1[j] = ip_k_85_0_1[j];
      ip_k_87_0_2[j] = ip_k_85_0_0[j];
      ip_k_87_0_3[j] = t130[facet[1]][ip][j] * t201;
      ip_k_87_0_4[j] = ip_k_85_0_6[j];
      ip_k_87_0_5[j] = ip_k_85_0_2[j];
      ip_k_87_0_6[j] = ip_k_85_0_4[j];
      ip_k_87_1_0[j] = (k_87_0_0[j] + ((t223[j] * c_87_0_1) + (t219[j] * c_87_0_2))) + ((t213[j] * c_87_0_3) + k_87_0_1[j]);
      ip_k_87_1_1[j] = (k_87_0_2[j] + ((t216[j] * c_87_0_2) + (t221[j] * c_87_0_1))) + ((t210[j] * c_87_0_3) + k_87_0_3[j]);
      ip_j_87_1_0[j] = j_87_0_0[j] + (t132[facet[1]][ip][j] * c_87_0_2);
      ip_j_87_1_1[j] = j_87_0_1[j] + (t132[facet[1]][ip][j] * c_87_0_1);
      ip_j_87_1_2[j] = j_87_0_2[j] + (t132[facet[1]][ip][j] * c_87_0_3);

    }

    for (int  j  = 0; j < 12; j += 1)
    {
      double  t245  = (t132[facet[1]][ip][j] * t117);
      double  t246  = (t132[facet[1]][ip][j] * t116);
      double  t247  = (t132[facet[1]][ip][j] * t115);
      double  t248  = (t132[facet[1]][ip][j] * ip_78_0_0);
      double  t249  = (t131[facet[1]][ip][j] * t117);
      double  t250  = (t131[facet[1]][ip][j] * t116);
      double  t251  = (t131[facet[1]][ip][j] * t115);
      double  t252  = (t131[facet[1]][ip][j] * ip_78_0_0);
      double  t253  = (t130[facet[1]][ip][j] * t117);
      double  t254  = (t130[facet[1]][ip][j] * t116);
      double  t255  = (t130[facet[1]][ip][j] * t115);
      double  t256  = (t130[facet[1]][ip][j] * ip_78_0_0);
      double  t257  = (t132[facet[0]][ip][j] * t99);
      double  t258  = (t132[facet[0]][ip][j] * t100);
      double  t259  = (t132[facet[0]][ip][j] * t101);
      double  t260  = (t132[facet[0]][ip][j] * ip_81_0_0);
      double  t261  = (t131[facet[0]][ip][j] * t99);
      double  t262  = (t131[facet[0]][ip][j] * t100);
      double  t263  = (t131[facet[0]][ip][j] * t101);
      double  t264  = (t131[facet[0]][ip][j] * ip_81_0_0);
      double  t265  = (t130[facet[0]][ip][j] * t99);
      double  t266  = (t130[facet[0]][ip][j] * t100);
      double  t267  = (t130[facet[0]][ip][j] * t101);
      double  t268  = (t130[facet[0]][ip][j] * ip_81_0_0);
      double  ip_j_85_0_0  = (t268 * t201);
      double  ip_j_85_0_1  = (t264 * t201);
      double  ip_j_86_0_0  = (t248 * t202);
      double  ip_j_87_0_0  = (t252 * t201);
      double  ip_j_87_0_1  = (t248 * t201);

      for (int  k  = 0; k < 4; k += 1)
      {
        A01[j][k+4] += (t131[facet[1]][ip][k+4] * ip_j_85_0_1) * t199;
        A01[j][k] += (t130[facet[1]][ip][k] * ip_j_85_0_0) * t199;
        A10[j][k+8] += (t132[facet[0]][ip][k+8] * ip_j_86_0_0) * t199;
        A11[j][k+8] += (t132[facet[1]][ip][k+8] * ip_j_87_0_1) * t199;
        A11[j][k+4] += (t131[facet[1]][ip][k+4] * ip_j_87_0_0) * t199;

      }

      for (int  k  = 0; k < 12; k += 1)
      {
        A00[j][k] += t199 * ((((t264 * ip_k_84_0_10[k]) + ((t193[j] * ip_k_84_0_9[k]) + (t189[j] * ip_k_84_0_2[k]))) + (((t187[j] * ip_k_84_0_5[k]) + (t192[j] * ip_k_84_0_7[k])) + ((t190[j] * ip_k_84_0_8[k]) + (t260 * ip_k_84_0_6[k])))) + ((((t268 * ip_k_84_0_3[k]) + (t188[j] * ip_k_84_0_4[k])) + ((t131[facet[0]][ip][j] * ip_k_84_1_1[k]) + (t194[j] * ip_k_84_0_0[k]))) + (((t191[j] * ip_k_84_0_1[k]) + (t130[facet[0]][ip][j] * ip_k_84_1_2[k])) + ((t244[k] * ip_j_84_1_0[j]) + (t132[facet[0]][ip][j] * ip_k_84_1_0[k])))));
        A01[j][k] += t199 * ((((t192[j] * ip_k_85_0_6[k]) + ((t194[j] * ip_k_85_0_0[k]) + (t188[j] * ip_k_85_0_2[k]))) + ((t191[j] * ip_k_85_0_4[k]) + ((t260 * ip_k_85_0_5[k]) + (t187[j] * ip_k_85_0_3[k])))) + (((t189[j] * ip_k_85_0_1[k]) + ((t220[k] * ip_j_85_1_2[j]) + (t130[facet[0]][ip][j] * ip_k_85_1_1[k]))) + (((t131[facet[0]][ip][j] * ip_k_85_1_2[k]) + (t132[facet[0]][ip][j] * ip_k_85_1_0[k])) + ((t223[k] * ip_j_85_1_0[j]) + (t214[k] * ip_j_85_1_1[j])))));
        A10[j][k] += t199 * ((((t182[j] * ip_k_86_0_9[k]) + ((t252 * ip_k_86_0_8[k]) + (t180[j] * ip_k_86_0_2[k]))) + (((t256 * ip_k_86_0_6[k]) + (t179[j] * ip_k_86_0_7[k])) + ((t183[j] * ip_k_86_0_5[k]) + (t185[j] * ip_k_86_0_3[k])))) + (((t184[j] * ip_k_86_0_4[k]) + ((t131[facet[1]][ip][j] * ip_k_86_1_1[k]) + (t132[facet[1]][ip][j] * ip_k_86_1_2[k]))) + (((t181[j] * ip_k_86_0_1[k]) + (t228[k] * ip_j_86_1_0[j])) + ((t186[j] * ip_k_86_0_0[k]) + (t130[facet[1]][ip][j] * ip_k_86_1_0[k])))));
        A11[j][k] += t199 * ((((t182[j] * ip_k_87_0_6[k]) + ((t132[facet[1]][ip][j] * k_87_0_4[k]) + (t256 * ip_k_87_0_3[k]))) + ((t179[j] * ip_k_87_0_5[k]) + ((t183[j] * ip_k_87_0_4[k]) + (t180[j] * ip_k_87_0_1[k])))) + (((t185[j] * ip_k_87_0_2[k]) + ((t214[k] * ip_j_87_1_0[j]) + (t131[facet[1]][ip][j] * ip_k_87_1_1[k]))) + (((t207[k] * ip_j_87_1_2[j]) + (t220[k] * ip_j_87_1_1[j])) + ((t186[j] * ip_k_87_0_0[k]) + (t130[facet[1]][ip][j] * ip_k_87_1_0[k])))));

      }

    }

  }
  A[0][0] = A00[0][0];
  A[0][1] = A00[0][1];
  A[0][2] = A00[0][2];
  A[0][3] = A00[0][3];
  A[0][4] = A01[0][0];
  A[0][5] = A01[0][1];
  A[0][6] = A01[0][2];
  A[0][7] = A01[0][3];
  A[0][8] = A00[0][4];
  A[0][9] = A00[0][5];
  A[0][10] = A00[0][6];
  A[0][11] = A00[0][7];
  A[0][12] = A01[0][4];
  A[0][13] = A01[0][5];
  A[0][14] = A01[0][6];
  A[0][15] = A01[0][7];
  A[0][16] = A00[0][8];
  A[0][17] = A00[0][9];
  A[0][18] = A00[0][10];
  A[0][19] = A00[0][11];
  A[0][20] = A01[0][8];
  A[0][21] = A01[0][9];
  A[0][22] = A01[0][10];
  A[0][23] = A01[0][11];
  A[1][0] = A00[1][0];
  A[1][1] = A00[1][1];
  A[1][2] = A00[1][2];
  A[1][3] = A00[1][3];
  A[1][4] = A01[1][0];
  A[1][5] = A01[1][1];
  A[1][6] = A01[1][2];
  A[1][7] = A01[1][3];
  A[1][8] = A00[1][4];
  A[1][9] = A00[1][5];
  A[1][10] = A00[1][6];
  A[1][11] = A00[1][7];
  A[1][12] = A01[1][4];
  A[1][13] = A01[1][5];
  A[1][14] = A01[1][6];
  A[1][15] = A01[1][7];
  A[1][16] = A00[1][8];
  A[1][17] = A00[1][9];
  A[1][18] = A00[1][10];
  A[1][19] = A00[1][11];
  A[1][20] = A01[1][8];
  A[1][21] = A01[1][9];
  A[1][22] = A01[1][10];
  A[1][23] = A01[1][11];
  A[2][0] = A00[2][0];
  A[2][1] = A00[2][1];
  A[2][2] = A00[2][2];
  A[2][3] = A00[2][3];
  A[2][4] = A01[2][0];
  A[2][5] = A01[2][1];
  A[2][6] = A01[2][2];
  A[2][7] = A01[2][3];
  A[2][8] = A00[2][4];
  A[2][9] = A00[2][5];
  A[2][10] = A00[2][6];
  A[2][11] = A00[2][7];
  A[2][12] = A01[2][4];
  A[2][13] = A01[2][5];
  A[2][14] = A01[2][6];
  A[2][15] = A01[2][7];
  A[2][16] = A00[2][8];
  A[2][17] = A00[2][9];
  A[2][18] = A00[2][10];
  A[2][19] = A00[2][11];
  A[2][20] = A01[2][8];
  A[2][21] = A01[2][9];
  A[2][22] = A01[2][10];
  A[2][23] = A01[2][11];
  A[3][0] = A00[3][0];
  A[3][1] = A00[3][1];
  A[3][2] = A00[3][2];
  A[3][3] = A00[3][3];
  A[3][4] = A01[3][0];
  A[3][5] = A01[3][1];
  A[3][6] = A01[3][2];
  A[3][7] = A01[3][3];
  A[3][8] = A00[3][4];
  A[3][9] = A00[3][5];
  A[3][10] = A00[3][6];
  A[3][11] = A00[3][7];
  A[3][12] = A01[3][4];
  A[3][13] = A01[3][5];
  A[3][14] = A01[3][6];
  A[3][15] = A01[3][7];
  A[3][16] = A00[3][8];
  A[3][17] = A00[3][9];
  A[3][18] = A00[3][10];
  A[3][19] = A00[3][11];
  A[3][20] = A01[3][8];
  A[3][21] = A01[3][9];
  A[3][22] = A01[3][10];
  A[3][23] = A01[3][11];
  A[4][0] = A10[0][0];
  A[4][1] = A10[0][1];
  A[4][2] = A10[0][2];
  A[4][3] = A10[0][3];
  A[4][4] = A11[0][0];
  A[4][5] = A11[0][1];
  A[4][6] = A11[0][2];
  A[4][7] = A11[0][3];
  A[4][8] = A10[0][4];
  A[4][9] = A10[0][5];
  A[4][10] = A10[0][6];
  A[4][11] = A10[0][7];
  A[4][12] = A11[0][4];
  A[4][13] = A11[0][5];
  A[4][14] = A11[0][6];
  A[4][15] = A11[0][7];
  A[4][16] = A10[0][8];
  A[4][17] = A10[0][9];
  A[4][18] = A10[0][10];
  A[4][19] = A10[0][11];
  A[4][20] = A11[0][8];
  A[4][21] = A11[0][9];
  A[4][22] = A11[0][10];
  A[4][23] = A11[0][11];
  A[5][0] = A10[1][0];
  A[5][1] = A10[1][1];
  A[5][2] = A10[1][2];
  A[5][3] = A10[1][3];
  A[5][4] = A11[1][0];
  A[5][5] = A11[1][1];
  A[5][6] = A11[1][2];
  A[5][7] = A11[1][3];
  A[5][8] = A10[1][4];
  A[5][9] = A10[1][5];
  A[5][10] = A10[1][6];
  A[5][11] = A10[1][7];
  A[5][12] = A11[1][4];
  A[5][13] = A11[1][5];
  A[5][14] = A11[1][6];
  A[5][15] = A11[1][7];
  A[5][16] = A10[1][8];
  A[5][17] = A10[1][9];
  A[5][18] = A10[1][10];
  A[5][19] = A10[1][11];
  A[5][20] = A11[1][8];
  A[5][21] = A11[1][9];
  A[5][22] = A11[1][10];
  A[5][23] = A11[1][11];
  A[6][0] = A10[2][0];
  A[6][1] = A10[2][1];
  A[6][2] = A10[2][2];
  A[6][3] = A10[2][3];
  A[6][4] = A11[2][0];
  A[6][5] = A11[2][1];
  A[6][6] = A11[2][2];
  A[6][7] = A11[2][3];
  A[6][8] = A10[2][4];
  A[6][9] = A10[2][5];
  A[6][10] = A10[2][6];
  A[6][11] = A10[2][7];
  A[6][12] = A11[2][4];
  A[6][13] = A11[2][5];
  A[6][14] = A11[2][6];
  A[6][15] = A11[2][7];
  A[6][16] = A10[2][8];
  A[6][17] = A10[2][9];
  A[6][18] = A10[2][10];
  A[6][19] = A10[2][11];
  A[6][20] = A11[2][8];
  A[6][21] = A11[2][9];
  A[6][22] = A11[2][10];
  A[6][23] = A11[2][11];
  A[7][0] = A10[3][0];
  A[7][1] = A10[3][1];
  A[7][2] = A10[3][2];
  A[7][3] = A10[3][3];
  A[7][4] = A11[3][0];
  A[7][5] = A11[3][1];
  A[7][6] = A11[3][2];
  A[7][7] = A11[3][3];
  A[7][8] = A10[3][4];
  A[7][9] = A10[3][5];
  A[7][10] = A10[3][6];
  A[7][11] = A10[3][7];
  A[7][12] = A11[3][4];
  A[7][13] = A11[3][5];
  A[7][14] = A11[3][6];
  A[7][15] = A11[3][7];
  A[7][16] = A10[3][8];
  A[7][17] = A10[3][9];
  A[7][18] = A10[3][10];
  A[7][19] = A10[3][11];
  A[7][20] = A11[3][8];
  A[7][21] = A11[3][9];
  A[7][22] = A11[3][10];
  A[7][23] = A11[3][11];
  A[8][0] = A00[4][0];
  A[8][1] = A00[4][1];
  A[8][2] = A00[4][2];
  A[8][3] = A00[4][3];
  A[8][4] = A01[4][0];
  A[8][5] = A01[4][1];
  A[8][6] = A01[4][2];
  A[8][7] = A01[4][3];
  A[8][8] = A00[4][4];
  A[8][9] = A00[4][5];
  A[8][10] = A00[4][6];
  A[8][11] = A00[4][7];
  A[8][12] = A01[4][4];
  A[8][13] = A01[4][5];
  A[8][14] = A01[4][6];
  A[8][15] = A01[4][7];
  A[8][16] = A00[4][8];
  A[8][17] = A00[4][9];
  A[8][18] = A00[4][10];
  A[8][19] = A00[4][11];
  A[8][20] = A01[4][8];
  A[8][21] = A01[4][9];
  A[8][22] = A01[4][10];
  A[8][23] = A01[4][11];
  A[9][0] = A00[5][0];
  A[9][1] = A00[5][1];
  A[9][2] = A00[5][2];
  A[9][3] = A00[5][3];
  A[9][4] = A01[5][0];
  A[9][5] = A01[5][1];
  A[9][6] = A01[5][2];
  A[9][7] = A01[5][3];
  A[9][8] = A00[5][4];
  A[9][9] = A00[5][5];
  A[9][10] = A00[5][6];
  A[9][11] = A00[5][7];
  A[9][12] = A01[5][4];
  A[9][13] = A01[5][5];
  A[9][14] = A01[5][6];
  A[9][15] = A01[5][7];
  A[9][16] = A00[5][8];
  A[9][17] = A00[5][9];
  A[9][18] = A00[5][10];
  A[9][19] = A00[5][11];
  A[9][20] = A01[5][8];
  A[9][21] = A01[5][9];
  A[9][22] = A01[5][10];
  A[9][23] = A01[5][11];
  A[10][0] = A00[6][0];
  A[10][1] = A00[6][1];
  A[10][2] = A00[6][2];
  A[10][3] = A00[6][3];
  A[10][4] = A01[6][0];
  A[10][5] = A01[6][1];
  A[10][6] = A01[6][2];
  A[10][7] = A01[6][3];
  A[10][8] = A00[6][4];
  A[10][9] = A00[6][5];
  A[10][10] = A00[6][6];
  A[10][11] = A00[6][7];
  A[10][12] = A01[6][4];
  A[10][13] = A01[6][5];
  A[10][14] = A01[6][6];
  A[10][15] = A01[6][7];
  A[10][16] = A00[6][8];
  A[10][17] = A00[6][9];
  A[10][18] = A00[6][10];
  A[10][19] = A00[6][11];
  A[10][20] = A01[6][8];
  A[10][21] = A01[6][9];
  A[10][22] = A01[6][10];
  A[10][23] = A01[6][11];
  A[11][0] = A00[7][0];
  A[11][1] = A00[7][1];
  A[11][2] = A00[7][2];
  A[11][3] = A00[7][3];
  A[11][4] = A01[7][0];
  A[11][5] = A01[7][1];
  A[11][6] = A01[7][2];
  A[11][7] = A01[7][3];
  A[11][8] = A00[7][4];
  A[11][9] = A00[7][5];
  A[11][10] = A00[7][6];
  A[11][11] = A00[7][7];
  A[11][12] = A01[7][4];
  A[11][13] = A01[7][5];
  A[11][14] = A01[7][6];
  A[11][15] = A01[7][7];
  A[11][16] = A00[7][8];
  A[11][17] = A00[7][9];
  A[11][18] = A00[7][10];
  A[11][19] = A00[7][11];
  A[11][20] = A01[7][8];
  A[11][21] = A01[7][9];
  A[11][22] = A01[7][10];
  A[11][23] = A01[7][11];
  A[12][0] = A10[4][0];
  A[12][1] = A10[4][1];
  A[12][2] = A10[4][2];
  A[12][3] = A10[4][3];
  A[12][4] = A11[4][0];
  A[12][5] = A11[4][1];
  A[12][6] = A11[4][2];
  A[12][7] = A11[4][3];
  A[12][8] = A10[4][4];
  A[12][9] = A10[4][5];
  A[12][10] = A10[4][6];
  A[12][11] = A10[4][7];
  A[12][12] = A11[4][4];
  A[12][13] = A11[4][5];
  A[12][14] = A11[4][6];
  A[12][15] = A11[4][7];
  A[12][16] = A10[4][8];
  A[12][17] = A10[4][9];
  A[12][18] = A10[4][10];
  A[12][19] = A10[4][11];
  A[12][20] = A11[4][8];
  A[12][21] = A11[4][9];
  A[12][22] = A11[4][10];
  A[12][23] = A11[4][11];
  A[13][0] = A10[5][0];
  A[13][1] = A10[5][1];
  A[13][2] = A10[5][2];
  A[13][3] = A10[5][3];
  A[13][4] = A11[5][0];
  A[13][5] = A11[5][1];
  A[13][6] = A11[5][2];
  A[13][7] = A11[5][3];
  A[13][8] = A10[5][4];
  A[13][9] = A10[5][5];
  A[13][10] = A10[5][6];
  A[13][11] = A10[5][7];
  A[13][12] = A11[5][4];
  A[13][13] = A11[5][5];
  A[13][14] = A11[5][6];
  A[13][15] = A11[5][7];
  A[13][16] = A10[5][8];
  A[13][17] = A10[5][9];
  A[13][18] = A10[5][10];
  A[13][19] = A10[5][11];
  A[13][20] = A11[5][8];
  A[13][21] = A11[5][9];
  A[13][22] = A11[5][10];
  A[13][23] = A11[5][11];
  A[14][0] = A10[6][0];
  A[14][1] = A10[6][1];
  A[14][2] = A10[6][2];
  A[14][3] = A10[6][3];
  A[14][4] = A11[6][0];
  A[14][5] = A11[6][1];
  A[14][6] = A11[6][2];
  A[14][7] = A11[6][3];
  A[14][8] = A10[6][4];
  A[14][9] = A10[6][5];
  A[14][10] = A10[6][6];
  A[14][11] = A10[6][7];
  A[14][12] = A11[6][4];
  A[14][13] = A11[6][5];
  A[14][14] = A11[6][6];
  A[14][15] = A11[6][7];
  A[14][16] = A10[6][8];
  A[14][17] = A10[6][9];
  A[14][18] = A10[6][10];
  A[14][19] = A10[6][11];
  A[14][20] = A11[6][8];
  A[14][21] = A11[6][9];
  A[14][22] = A11[6][10];
  A[14][23] = A11[6][11];
  A[15][0] = A10[7][0];
  A[15][1] = A10[7][1];
  A[15][2] = A10[7][2];
  A[15][3] = A10[7][3];
  A[15][4] = A11[7][0];
  A[15][5] = A11[7][1];
  A[15][6] = A11[7][2];
  A[15][7] = A11[7][3];
  A[15][8] = A10[7][4];
  A[15][9] = A10[7][5];
  A[15][10] = A10[7][6];
  A[15][11] = A10[7][7];
  A[15][12] = A11[7][4];
  A[15][13] = A11[7][5];
  A[15][14] = A11[7][6];
  A[15][15] = A11[7][7];
  A[15][16] = A10[7][8];
  A[15][17] = A10[7][9];
  A[15][18] = A10[7][10];
  A[15][19] = A10[7][11];
  A[15][20] = A11[7][8];
  A[15][21] = A11[7][9];
  A[15][22] = A11[7][10];
  A[15][23] = A11[7][11];
  A[16][0] = A00[8][0];
  A[16][1] = A00[8][1];
  A[16][2] = A00[8][2];
  A[16][3] = A00[8][3];
  A[16][4] = A01[8][0];
  A[16][5] = A01[8][1];
  A[16][6] = A01[8][2];
  A[16][7] = A01[8][3];
  A[16][8] = A00[8][4];
  A[16][9] = A00[8][5];
  A[16][10] = A00[8][6];
  A[16][11] = A00[8][7];
  A[16][12] = A01[8][4];
  A[16][13] = A01[8][5];
  A[16][14] = A01[8][6];
  A[16][15] = A01[8][7];
  A[16][16] = A00[8][8];
  A[16][17] = A00[8][9];
  A[16][18] = A00[8][10];
  A[16][19] = A00[8][11];
  A[16][20] = A01[8][8];
  A[16][21] = A01[8][9];
  A[16][22] = A01[8][10];
  A[16][23] = A01[8][11];
  A[17][0] = A00[9][0];
  A[17][1] = A00[9][1];
  A[17][2] = A00[9][2];
  A[17][3] = A00[9][3];
  A[17][4] = A01[9][0];
  A[17][5] = A01[9][1];
  A[17][6] = A01[9][2];
  A[17][7] = A01[9][3];
  A[17][8] = A00[9][4];
  A[17][9] = A00[9][5];
  A[17][10] = A00[9][6];
  A[17][11] = A00[9][7];
  A[17][12] = A01[9][4];
  A[17][13] = A01[9][5];
  A[17][14] = A01[9][6];
  A[17][15] = A01[9][7];
  A[17][16] = A00[9][8];
  A[17][17] = A00[9][9];
  A[17][18] = A00[9][10];
  A[17][19] = A00[9][11];
  A[17][20] = A01[9][8];
  A[17][21] = A01[9][9];
  A[17][22] = A01[9][10];
  A[17][23] = A01[9][11];
  A[18][0] = A00[10][0];
  A[18][1] = A00[10][1];
  A[18][2] = A00[10][2];
  A[18][3] = A00[10][3];
  A[18][4] = A01[10][0];
  A[18][5] = A01[10][1];
  A[18][6] = A01[10][2];
  A[18][7] = A01[10][3];
  A[18][8] = A00[10][4];
  A[18][9] = A00[10][5];
  A[18][10] = A00[10][6];
  A[18][11] = A00[10][7];
  A[18][12] = A01[10][4];
  A[18][13] = A01[10][5];
  A[18][14] = A01[10][6];
  A[18][15] = A01[10][7];
  A[18][16] = A00[10][8];
  A[18][17] = A00[10][9];
  A[18][18] = A00[10][10];
  A[18][19] = A00[10][11];
  A[18][20] = A01[10][8];
  A[18][21] = A01[10][9];
  A[18][22] = A01[10][10];
  A[18][23] = A01[10][11];
  A[19][0] = A00[11][0];
  A[19][1] = A00[11][1];
  A[19][2] = A00[11][2];
  A[19][3] = A00[11][3];
  A[19][4] = A01[11][0];
  A[19][5] = A01[11][1];
  A[19][6] = A01[11][2];
  A[19][7] = A01[11][3];
  A[19][8] = A00[11][4];
  A[19][9] = A00[11][5];
  A[19][10] = A00[11][6];
  A[19][11] = A00[11][7];
  A[19][12] = A01[11][4];
  A[19][13] = A01[11][5];
  A[19][14] = A01[11][6];
  A[19][15] = A01[11][7];
  A[19][16] = A00[11][8];
  A[19][17] = A00[11][9];
  A[19][18] = A00[11][10];
  A[19][19] = A00[11][11];
  A[19][20] = A01[11][8];
  A[19][21] = A01[11][9];
  A[19][22] = A01[11][10];
  A[19][23] = A01[11][11];
  A[20][0] = A10[8][0];
  A[20][1] = A10[8][1];
  A[20][2] = A10[8][2];
  A[20][3] = A10[8][3];
  A[20][4] = A11[8][0];
  A[20][5] = A11[8][1];
  A[20][6] = A11[8][2];
  A[20][7] = A11[8][3];
  A[20][8] = A10[8][4];
  A[20][9] = A10[8][5];
  A[20][10] = A10[8][6];
  A[20][11] = A10[8][7];
  A[20][12] = A11[8][4];
  A[20][13] = A11[8][5];
  A[20][14] = A11[8][6];
  A[20][15] = A11[8][7];
  A[20][16] = A10[8][8];
  A[20][17] = A10[8][9];
  A[20][18] = A10[8][10];
  A[20][19] = A10[8][11];
  A[20][20] = A11[8][8];
  A[20][21] = A11[8][9];
  A[20][22] = A11[8][10];
  A[20][23] = A11[8][11];
  A[21][0] = A10[9][0];
  A[21][1] = A10[9][1];
  A[21][2] = A10[9][2];
  A[21][3] = A10[9][3];
  A[21][4] = A11[9][0];
  A[21][5] = A11[9][1];
  A[21][6] = A11[9][2];
  A[21][7] = A11[9][3];
  A[21][8] = A10[9][4];
  A[21][9] = A10[9][5];
  A[21][10] = A10[9][6];
  A[21][11] = A10[9][7];
  A[21][12] = A11[9][4];
  A[21][13] = A11[9][5];
  A[21][14] = A11[9][6];
  A[21][15] = A11[9][7];
  A[21][16] = A10[9][8];
  A[21][17] = A10[9][9];
  A[21][18] = A10[9][10];
  A[21][19] = A10[9][11];
  A[21][20] = A11[9][8];
  A[21][21] = A11[9][9];
  A[21][22] = A11[9][10];
  A[21][23] = A11[9][11];
  A[22][0] = A10[10][0];
  A[22][1] = A10[10][1];
  A[22][2] = A10[10][2];
  A[22][3] = A10[10][3];
  A[22][4] = A11[10][0];
  A[22][5] = A11[10][1];
  A[22][6] = A11[10][2];
  A[22][7] = A11[10][3];
  A[22][8] = A10[10][4];
  A[22][9] = A10[10][5];
  A[22][10] = A10[10][6];
  A[22][11] = A10[10][7];
  A[22][12] = A11[10][4];
  A[22][13] = A11[10][5];
  A[22][14] = A11[10][6];
  A[22][15] = A11[10][7];
  A[22][16] = A10[10][8];
  A[22][17] = A10[10][9];
  A[22][18] = A10[10][10];
  A[22][19] = A10[10][11];
  A[22][20] = A11[10][8];
  A[22][21] = A11[10][9];
  A[22][22] = A11[10][10];
  A[22][23] = A11[10][11];
  A[23][0] = A10[11][0];
  A[23][1] = A10[11][1];
  A[23][2] = A10[11][2];
  A[23][3] = A10[11][3];
  A[23][4] = A11[11][0];
  A[23][5] = A11[11][1];
  A[23][6] = A11[11][2];
  A[23][7] = A11[11][3];
  A[23][8] = A10[11][4];
  A[23][9] = A10[11][5];
  A[23][10] = A10[11][6];
  A[23][11] = A10[11][7];
  A[23][12] = A11[11][4];
  A[23][13] = A11[11][5];
  A[23][14] = A11[11][6];
  A[23][15] = A11[11][7];
  A[23][16] = A10[11][8];
  A[23][17] = A10[11][9];
  A[23][18] = A10[11][10];
  A[23][19] = A10[11][11];
  A[23][20] = A11[11][8];
  A[23][21] = A11[11][9];
  A[23][22] = A11[11][10];
  A[23][23] = A11[11][11];

}

        void wrap_form00_interior_facet_integral_otherwise(int start, int end,
                      Mat arg0_0_, int *arg0_0_map0_0, int *arg0_0_map1_0, double *arg1_0, int *arg1_0_map0_0, double *arg2_0, int *arg2_0_map0_0, unsigned int *arg3_0
                      ) {
  Mat arg0_0_0 = arg0_0_;
  double *arg1_0_vec[24];
    double *arg2_0_vec[24];
  for ( int n = start; n < end; n++ ) {
    int i = n;
    arg1_0_vec[0] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3;
    arg1_0_vec[1] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3;
    arg1_0_vec[2] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3;
    arg1_0_vec[3] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3;
    arg1_0_vec[4] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3;
    arg1_0_vec[5] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3;
    arg1_0_vec[6] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3;
    arg1_0_vec[7] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3;
    arg1_0_vec[8] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3 + 1;
    arg1_0_vec[9] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3 + 1;
    arg1_0_vec[10] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3 + 1;
    arg1_0_vec[11] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3 + 1;
    arg1_0_vec[12] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3 + 1;
    arg1_0_vec[13] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3 + 1;
    arg1_0_vec[14] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3 + 1;
    arg1_0_vec[15] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3 + 1;
    arg1_0_vec[16] = arg1_0 + (arg1_0_map0_0[i * 8 + 0])* 3 + 2;
    arg1_0_vec[17] = arg1_0 + (arg1_0_map0_0[i * 8 + 1])* 3 + 2;
    arg1_0_vec[18] = arg1_0 + (arg1_0_map0_0[i * 8 + 2])* 3 + 2;
    arg1_0_vec[19] = arg1_0 + (arg1_0_map0_0[i * 8 + 3])* 3 + 2;
    arg1_0_vec[20] = arg1_0 + (arg1_0_map0_0[i * 8 + 4])* 3 + 2;
    arg1_0_vec[21] = arg1_0 + (arg1_0_map0_0[i * 8 + 5])* 3 + 2;
    arg1_0_vec[22] = arg1_0 + (arg1_0_map0_0[i * 8 + 6])* 3 + 2;
    arg1_0_vec[23] = arg1_0 + (arg1_0_map0_0[i * 8 + 7])* 3 + 2;
    arg2_0_vec[0] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3;
    arg2_0_vec[1] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3;
    arg2_0_vec[2] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3;
    arg2_0_vec[3] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3;
    arg2_0_vec[4] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3;
    arg2_0_vec[5] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3;
    arg2_0_vec[6] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3;
    arg2_0_vec[7] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3;
    arg2_0_vec[8] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3 + 1;
    arg2_0_vec[9] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3 + 1;
    arg2_0_vec[10] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3 + 1;
    arg2_0_vec[11] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3 + 1;
    arg2_0_vec[12] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3 + 1;
    arg2_0_vec[13] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3 + 1;
    arg2_0_vec[14] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3 + 1;
    arg2_0_vec[15] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3 + 1;
    arg2_0_vec[16] = arg2_0 + (arg2_0_map0_0[i * 8 + 0])* 3 + 2;
    arg2_0_vec[17] = arg2_0 + (arg2_0_map0_0[i * 8 + 1])* 3 + 2;
    arg2_0_vec[18] = arg2_0 + (arg2_0_map0_0[i * 8 + 2])* 3 + 2;
    arg2_0_vec[19] = arg2_0 + (arg2_0_map0_0[i * 8 + 3])* 3 + 2;
    arg2_0_vec[20] = arg2_0 + (arg2_0_map0_0[i * 8 + 4])* 3 + 2;
    arg2_0_vec[21] = arg2_0 + (arg2_0_map0_0[i * 8 + 5])* 3 + 2;
    arg2_0_vec[22] = arg2_0 + (arg2_0_map0_0[i * 8 + 6])* 3 + 2;
    arg2_0_vec[23] = arg2_0 + (arg2_0_map0_0[i * 8 + 7])* 3 + 2;
    double buffer_arg0_0[24][24] __attribute__((aligned(16))) = {{0.0}};
    form00_interior_facet_integral_otherwise(buffer_arg0_0, arg1_0_vec, arg2_0_vec, arg3_0 + (i * 2));
                    double tmp_buffer_arg0_0[24][24] __attribute__((aligned(16)));
                    for ( int j = 0; j < 8; j++ ) {
                       for ( int k = 0; k < 3; k++ ) {
                          for ( int l = 0; l < 8; l++ ) {
                             for ( int m = 0; m < 3; m++ ) {
                                tmp_buffer_arg0_0[3*j + k][3*l + m] = buffer_arg0_0[j + 8*k][l + 8*m];
                             }
                          }
                       }
                    }
    MatSetValuesBlockedLocal(arg0_0_0, 8, arg0_0_map0_0 + i * 8,
                                             8, arg0_0_map1_0 + i * 8,
                                             (const PetscScalar *)tmp_buffer_arg0_0,
                                             ADD_VALUES);;
  }
}

Thoughts on where this might be breaking?

FabioLuporini commented 7 years ago

Uhmm...

Does this systematically appear at least?

Can you try commenting out self._min_temporaries() in optimizer.py and see what happens?

wence- commented 7 years ago

Hmm, sorry, I can't recall exactly what I was using to make this problem. I will keep an eye out and try that. That looks like a likely suspect though.

wence- commented 7 years ago

That helps, but doesn't solve the problem:

diff -u /data/lmitche1/pyop2-cache/mismatching-kernels/src-rank0.c /data/lmitche1/pyop2-cache/mismatching-kernels/src-rank1.c
--- /data/lmitche1/pyop2-cache/mismatching-kernels/src-rank0.c  2016-09-13 13:45:58.453774754 +0100
+++ /data/lmitche1/pyop2-cache/mismatching-kernels/src-rank1.c  2016-09-13 13:45:58.453774754 +0100
@@ -617,9 +617,9 @@
       ip_k_84_1_0[j] = (k_84_0_0[j] + (t237[j] * c_84_0_1)) + k_84_0_1[j];
       ip_k_84_1_1[j] = (k_84_0_2[j] + ((t245[j] * c_84_0_4) + (t240[j] * c_84_0_5))) + ((t234[j] * c_84_0_1) + k_84_0_3[j]);
       ip_k_84_1_2[j] = ((k_84_0_4[j] + (t231[j] * c_84_0_1)) + ((t238[j] * c_84_0_5) + k_84_0_5[j])) + k_84_0_6[j];
-      ip_j_84_1_0[j] = j_85_0_1[j] + (t133[facet[0]][ip][j] * c_84_0_4);
+      ip_j_84_1_0[j] = j_84_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_4);
       ip_j_84_1_1[j] = j_84_0_1[j] + (t135[facet[0]][ip][j] * c_84_0_4);
-      ip_j_84_1_2[j] = j_85_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_5);
+      ip_j_84_1_2[j] = j_84_0_2[j] + (t133[facet[0]][ip][j] * c_84_0_5);
       ip_k_85_0_0[j] = t219[j] * -1;
       ip_k_85_0_1[j] = t217[j] * -1;
       ip_k_85_0_2[j] = t134[facet[1]][ip][j] * t204;
@@ -647,7 +647,7 @@
       ip_k_86_1_2[j] = (k_86_0_4[j] + (t238[j] * c_86_0_2)) + k_86_0_5[j];
       ip_j_86_1_0[j] = j_86_0_0[j] + (t134[facet[1]][ip][j] * c_86_0_1);
       ip_j_86_1_1[j] = j_86_0_1[j] + (t135[facet[1]][ip][j] * c_86_0_3);
-      ip_j_86_1_2[j] = j_87_0_0[j] + (t135[facet[1]][ip][j] * c_86_0_1);
+      ip_j_86_1_2[j] = j_86_0_2[j] + (t135[facet[1]][ip][j] * c_86_0_1);
       ip_k_87_0_0[j] = ip_k_85_0_6[j];
       ip_k_87_0_1[j] = ip_k_85_0_8[j];
       ip_k_87_0_2[j] = t226[j] * -1;

Diff finished.  Tue Sep 13 13:57:56 2016
wence- commented 7 years ago

Example code that reproduces

from firedrake import *
mesh = UnitCubeMesh(10, 10, 10)

alpha = 340.27690917706

V = VectorFunctionSpace(mesh, "DG", 1)
Q = FunctionSpace(mesh, "CG", 2)
bcs_u_inlet = Function(V)
bcs_p_outlet = Constant(0)

W = V*Q

nu_bg = Constant(10)
y_star_plus = Constant(10)
Dt = Constant(1)
body_forces = Constant((0, 0, 0))

V_sca = FunctionSpace(mesh, "CG", 1)

u_tau = Function(V_sca)

u_adv = Function(VectorFunctionSpace(mesh, "CG", 1))
u_star = Function(V)

w0 = Function(W)
u0, p0 = w0.split()

w1 = Function(W)

u1, p1 = w1.split()

nu_T0 = Function(FunctionSpace(mesh, "DG", 0))
def tensor_jump(vector_field, normal):
    """ Equivalent of jump(scalar, n) for vectorial quantities. The
    inbuilt firedrake jump(vector, n) is as below but uses inner - i.e.
    returning a scalar... this here returns a vector.
    """
    return outer(vector_field('+'), normal('+')) \
           + outer(vector_field('-'), normal('-'))

def get_form(u0, u_adv, u_star, p1, 
             nu_T0=Constant(0), u_tau=None):
    """ The form for the discontinuous galerkin discretisation of the
    equations for the coupled velocity / pressure solve usign schur
    complement pressure projection.

    :var u0: Velocity field
    :type k1: :class:`Function`
    :var nu_T0: The turbulent viscosity
    :type nu_T0: :class:`Function`
    :var u_tau: The friction velocity
    :type u_tau: :class:`Function`

    """
    def tensor_jump(vector_field, normal):
        """ Equivalent of jump(scalar, n) for vectorial quantities. The
        inbuilt firedrake jump(vector, n) is as below but uses inner - i.e.
        returning a scalar... this here returns a vector.
        """
        return outer(vector_field('+'), normal('+')) \
               + outer(vector_field('-'), normal('-'))

    n    = FacetNormal(mesh)
    h    = CellSize(mesh)
    # Define the test and trial functions
    u, p = TrialFunctions(W)
    v, q = TestFunctions(W) 
    # Test and trial functions for the momentum parts
    w = TrialFunction(V)
    r = TestFunction(V)
    # For DG methods we have k at element edge, k_hat. The conditional
    # ensures we upwind - i.e. take upstream values for the edge term.  
    s = 0.5 * sign(dot(n('-'), u_adv)) + 0.5
    u_hat = s * w('-') + (1.0 - s) * w('+')

    # Define free slip condition start with wall-shear stress
    nu_up = (nu_bg + nu_T0)
    tau = nu_up * (nabla_grad(w) + nabla_grad(w).T)
    tau_rem = nu_up * (nabla_grad(u - u_star) + nabla_grad(u - u_star).T)
    t_w = - u_tau / y_star_plus * w
    t_w_rem = - u_tau / y_star_plus * (u - u_star)

    # For this method we split the pressure term out from the first equation
    # and the advection/diffusion terms out of the second. The first
    # equation we shall call Mom (for momentum), the second we shall call
    # Rem (for remainder terms).

    # Domain integrals
    # Transient
    transient_mom = (1 / Dt) * inner(w - u0, r)
    Mom = transient_mom * dx
    transient_rem = (1 / Dt) * inner(u - u_star, v)
    Rem = transient_rem * dx
    # Convection
    convection_vol = inner(w, dot(u_adv, nabla_grad(r)))
    Mom -= convection_vol * dx
    # Diffusion
    diffusion_vol = inner(grad(r), tau)
    Mom += diffusion_vol * dx
    diffusion_rem = inner(grad(v), tau_rem)
    # Pressure
    pressure_mom = dot(grad(p1), r)
    Mom += pressure_mom * dx
    pressure_rem = dot(grad(p - p1), v)
    Rem += pressure_rem * dx
    # Forcing
    f = body_forces
    forcing = inner(f, r)
    Mom -= forcing * dx 
    # Continuity
    continuity = dot(u, grad(q))
    Rem -= continuity * dx

    # Jump terms
    # Convection
    convection_edge = dot(u_hat, dot(tensor_jump(r, n), u_adv))
    Mom += convection_edge * dS
    # Diffusion
    tau_jump = avg(nu_up) * (tensor_jump(w, n) + tensor_jump(w, n).T)
    diffusion_edge = - inner(avg(grad(r)), tau_jump) \
                     - inner(tensor_jump(r, n), avg(tau)) \
                     + (alpha / avg(h)) \
                             * inner(tensor_jump(r, n), tau_jump)
    Mom += diffusion_edge * dS
    tau_jump_rem = avg(nu_up) * (tensor_jump(u - u_star, n) \
                                 + tensor_jump(u - u_star, n).T)
    diffusion_edge_rem = - inner(avg(grad(v)), tau_jump_rem) \
                         - inner(tensor_jump(v, n), avg(tau_rem)) \
                         + (alpha / avg(h)) \
                                 * inner(tensor_jump(v, n), tau_jump_rem)

    # Inlet terms
    inlets = (1, )
    # Convection
    convection_inlet = dot(bcs_u_inlet, r) * dot(n, u_adv)
    for bnd_id in inlets: Mom += convection_inlet * ds(bnd_id)
    # Diffusion
    tau_jump_inlet = nu_up * 2 * sym(outer(w, n) - outer(bcs_u_inlet, n))
    diffusion_inlet = - inner(grad(r), tau_jump_inlet) \
                      - inner(outer(r, n), tau) \
                      + (alpha / h) * inner(outer(r, n), tau_jump_inlet)
    for bnd_id in inlets: Mom += diffusion_inlet * ds(bnd_id)
    tau_jump_inlet_rem = nu_up * 2 * sym(outer(u - u_star, n))
    diffusion_inlet_rem = - inner(grad(v), tau_jump_inlet_rem) \
                          - inner(outer(v, n), tau_rem) \
                          + (alpha / h) \
                                      * inner(outer(v, n), tau_jump_inlet_rem)
    # Continuity
    continuity_inlet = q * dot(bcs_u_inlet, n)
    for bnd_id in inlets: Rem += continuity_inlet * ds(bnd_id)

    # Outlet terms
    outlets = (2, )
    # Convection
    convection_outlet = dot(w, r) * dot(n, u_adv)
    for bnd_id in outlets: Mom += convection_outlet * ds(bnd_id)
    # Pressure
    pressure_outlet_mom = (bcs_p_outlet - p1) * dot(n, r)
    for bnd_id in outlets: Mom += pressure_outlet_mom * ds(bnd_id)
    pressure_outlet_rem = (p - p1) * dot(n, v)
    for bnd_id in outlets: Rem -= pressure_outlet_rem * ds(bnd_id)
    # Continuity
    continuity_outlet = q * dot(u, n)
    for bnd_id in outlets: Rem += continuity_outlet * ds(bnd_id)

    # Wall terms
    walls = (3, 4)
    # Convection
    convection_wall = dot(w, r) * dot(n, u_adv)
    for bnd_id in walls: Mom += convection_wall * ds(bnd_id)
    # Diffusion
    tau_jump_wall = dot(w, n) * outer(n, n)
    diffusion_wall = - inner(grad(r), tau_jump_wall) \
                     - inner(dot(r, n), dot(n, dot(tau, n))) \
                     - inner(t_w, r) \
                     + (alpha / h) * inner(outer(r, n), tau_jump_wall)
    for bnd_id in walls: Mom += diffusion_wall * ds(bnd_id)
    tau_jump_wall_rem = dot(u - u_star, n) * outer(n, n)
    diffusion_wall_rem = - inner(grad(v), tau_jump_wall_rem) \
                         - inner(dot(v, n), dot(n, dot(tau_rem, n))) \
                         - inner(t_w_rem, v) \
                         + (alpha / h) \
                                    * inner(outer(v, n), tau_jump_wall_rem)

    # Free-slip boundaries
    fs_bounds = (5, 6)
    # Convection
    convection_fsb = dot(w, r) * dot(n, u_adv)
    for bnd_id in fs_bounds: Mom += convection_fsb * ds(bnd_id)
    # Diffusion
    tau_jump_fsb = dot(w, n) * outer(n, n)
    diffusion_fsb = - inner(grad(r), tau_jump_fsb) \
                    - inner(dot(r, n), dot(n, dot(tau, n))) \
                    + (alpha / h) * inner(outer(r, n), tau_jump_fsb)
    for bnd_id in fs_bounds: Mom += diffusion_fsb * ds(bnd_id)
    tau_jump_fsb_rem = dot(u - u_star, n) * outer(n, n)
    diffusion_fsb_rem = - inner(grad(v), tau_jump_fsb_rem) \
                        - inner(dot(v, n), dot(n, dot(tau_rem, n))) \
                        + (alpha / h) \
                                * inner(outer(v, n), tau_jump_fsb_rem)

    # Seperate the sides of the momentum equation
    a_mom = lhs(Mom)
    L_mom = rhs(Mom)
    # Seperate the sides of the remainder equation
    a_rem = lhs(Rem)
    L_rem = rhs(Rem)

    return a_mom, L_mom, a_rem, L_rem

a_mom, _, _, _ = get_form(u0, u_adv, u_star, p1, nu_T0, u_tau)
assemble(a_mom).M
wence- commented 7 years ago

Slightly reduced example:

from firedrake import *
mesh = UnitCubeMesh(2, 2, 2)

alpha = 340.27690917706

V = VectorFunctionSpace(mesh, "DG", 1)
Q = FunctionSpace(mesh, "CG", 2)
bcs_u_inlet = Function(V)
bcs_p_outlet = Constant(0)

W = V*Q

nu_bg = Constant(10)
y_star_plus = Constant(10)
Dt = Constant(1)
body_forces = Constant((0, 0, 0))

V_sca = FunctionSpace(mesh, "CG", 1)

u_tau = Function(V_sca)

u_adv = Function(VectorFunctionSpace(mesh, "CG", 1))
u_star = Function(V)

w0 = Function(W)
u0, p0 = w0.split()

w1 = Function(W)

u1, p1 = w1.split()

nu_T0 = Function(FunctionSpace(mesh, "DG", 0))
def tensor_jump(vector_field, normal):
    """ Equivalent of jump(scalar, n) for vectorial quantities. The
    inbuilt firedrake jump(vector, n) is as below but uses inner - i.e.
    returning a scalar... this here returns a vector.
    """
    return outer(vector_field('+'), normal('+')) \
           + outer(vector_field('-'), normal('-'))

def get_form(u0, u_adv, u_star, p1, 
             nu_T0=Constant(0), u_tau=None):
    """ The form for the discontinuous galerkin discretisation of the
    equations for the coupled velocity / pressure solve usign schur
    complement pressure projection.

    :var u0: Velocity field
    :type k1: :class:`Function`
    :var nu_T0: The turbulent viscosity
    :type nu_T0: :class:`Function`
    :var u_tau: The friction velocity
    :type u_tau: :class:`Function`

    """
    def tensor_jump(vector_field, normal):
        """ Equivalent of jump(scalar, n) for vectorial quantities. The
        inbuilt firedrake jump(vector, n) is as below but uses inner - i.e.
        returning a scalar... this here returns a vector.
        """
        return outer(vector_field('+'), normal('+')) \
               + outer(vector_field('-'), normal('-'))

    n    = FacetNormal(mesh)
    h    = CellSize(mesh)
    # Define the test and trial functions
    u, p = TrialFunctions(W)
    v, q = TestFunctions(W) 
    # Test and trial functions for the momentum parts
    w = TrialFunction(V)
    r = TestFunction(V)
    # For DG methods we have k at element edge, k_hat. The conditional
    # ensures we upwind - i.e. take upstream values for the edge term.  
    s = 0.5 * sign(dot(n('-'), u_adv)) + 0.5
    u_hat = s * w('-') + (1.0 - s) * w('+')

    # Define free slip condition start with wall-shear stress
    nu_up = (nu_bg + nu_T0)
    tau = nu_up * (nabla_grad(w) + nabla_grad(w).T)

    # For this method we split the pressure term out from the first equation
    # and the advection/diffusion terms out of the second. The first
    # equation we shall call Mom (for momentum), the second we shall call
    # Rem (for remainder terms).

    # Domain integrals
    # Transient
    Mom = 0
    # Convection
    convection_edge = dot(u_hat, dot(tensor_jump(r, n), u_adv))
    Mom += convection_edge * dS
    # Diffusion
    tau_jump = avg(nu_up) * (tensor_jump(w, n) + tensor_jump(w, n).T)
    diffusion_edge = - inner(avg(grad(r)), tau_jump) \
                     - inner(tensor_jump(r, n), avg(tau)) \
                     + (alpha / avg(h)) \
                             * inner(tensor_jump(r, n), tau_jump)
    Mom += diffusion_edge * dS

    return lhs(Mom) # , L_mom, a_rem, L_rem

a_mom = get_form(u0, u_adv, u_star, p1, nu_T0, u_tau)
assemble(a_mom).M
FabioLuporini commented 7 years ago

ugh, painful. I can't reproduce it.

This is supposed to produce a single kernel and terminate, right?

How many processes did you use to run this?

FabioLuporini commented 7 years ago

btw, are you sure you haven't accidentally cut anything from the last diff that you pasted ?

FabioLuporini commented 7 years ago

Could you try commenting out lines [142,152] in optimizer.py ?

If that fixed the problem, could you then uncomment them, and only comment out line 188 (self._simplify(...)) in scheduler.py ?

wence- commented 7 years ago

I used 16 processes. It doesn't always happen, you have to run firedrake-clean in between each run.

wence- commented 7 years ago

Yes, if I comment out lines 142-152 then the problem goes away. Similarly if I comment out line 188 in scheduler.py only. I did a little bit more digging, this is what I found. SSALoopMerger.merge computes the loops to merge and turns it into merged_loops. These are then sent to SSALoopMerger._simplify. But, the loops found to merge are not guaranteed to come out in the same order on all processes. So we have on (say) rank 0 an ordering [A, B, C] and on rank 1 an ordering [B, A, C]. The temporary replacement walks the loops in the order it sees them and for each statement in the loop builds a dict: {rvalue: lvalue}, now if we see a new statement whose rvalue is already found in the dict, we just reuse the temporary. But now imagine that A and B both have statements whose rvalue is the same, but which write to different lvalues:

loop A:
    lvalueA = rvalue;
loop B:
    lvalueB = rvalue;
    use_lvalueB;

If I visit loop A first, this is transformed into:

loop A:
   lvalueA = rvalue;
loop B:
   use_lvalueA;

And vice versa if loop B is visited first.

Concretely this is what I see happening in this example. I've pasted below the order in which the merged loops are visited on two ranks that disagree. And then the resulting temporaries-replaced loops (with diff).

On rank 0:


for (int  j  = 0; j < 12; j += 1)
{
  ip_k_84_0_0[j] = t240[j] * -1;
  ip_k_84_0_1[j] = t234[j] * -1;
  ip_k_84_0_2[j] = t245[j] * -1;
  ip_k_84_0_3[j] = t133[facet[0]][ip][j] * t205;
  ip_k_84_0_4[j] = t237[j] * -1;
  ip_k_84_0_5[j] = t231[j] * -1;
  ip_k_84_0_6[j] = t238[j] * -1;
  ip_k_84_1_0[j] = (k_84_0_0[j] + (t237[j] * c_84_0_1)) + k_84_0_1[j];
  ip_k_84_1_1[j] = (k_84_0_2[j] + ((t245[j] * c_84_0_4) + (t240[j] * c_84_0_5))) + ((t234[j] * c_84_0_1) + k_84_0_3[j]);
  ip_k_84_1_2[j] = ((k_84_0_4[j] + (t231[j] * c_84_0_1)) + ((t238[j] * c_84_0_5) + k_84_0_5[j])) + k_84_0_6[j];
  ip_j_84_1_0[j] = j_84_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_4);
  ip_j_84_1_1[j] = j_84_0_1[j] + (t135[facet[0]][ip][j] * c_84_0_4);
  ip_j_84_1_2[j] = j_84_0_2[j] + (t133[facet[0]][ip][j] * c_84_0_5);
  ip_k_85_0_0[j] = t219[j] * -1;
  ip_k_85_0_1[j] = t217[j] * -1;
  ip_k_85_0_2[j] = t134[facet[1]][ip][j] * t204;
  ip_k_85_0_3[j] = t223[j] * -1;
  ip_k_85_0_4[j] = t224[j] * -1;
  ip_k_85_0_5[j] = t213[j] * -1;
  ip_k_85_0_6[j] = t133[facet[1]][ip][j] * t204;
  ip_k_85_0_7[j] = t216[j] * -1;
  ip_k_85_0_8[j] = t210[j] * -1;
  ip_k_85_1_0[j] = (k_85_0_0[j] + (t216[j] * c_85_0_1)) + k_85_0_1[j];
  ip_k_85_1_1[j] = (k_85_0_2[j] + ((t224[j] * c_85_0_5) + (t219[j] * c_85_0_4))) + ((t213[j] * c_85_0_1) + k_85_0_3[j]);
  ip_k_85_1_2[j] = (k_85_0_4[j] + ((t223[j] * c_85_0_5) + (t217[j] * c_85_0_4))) + ((t210[j] * c_85_0_1) + k_85_0_5[j]);
  ip_j_85_1_0[j] = j_85_0_0[j] + (t133[facet[0]][ip][j] * c_85_0_4);
  ip_j_85_1_1[j] = j_85_0_1[j] + (t133[facet[0]][ip][j] * c_85_0_5);
  ip_k_86_0_0[j] = t133[facet[0]][ip][j] * t205;
  ip_k_86_0_1[j] = t247[j] * -1;
  ip_k_86_0_2[j] = t240[j] * -1;
  ip_k_86_0_3[j] = t134[facet[0]][ip][j] * t205;
  ip_k_86_0_4[j] = t238[j] * -1;
  ip_k_86_0_5[j] = t237[j] * -1;
  ip_k_86_0_6[j] = t243[j] * -1;
  ip_k_86_0_7[j] = t234[j] * -1;
  ip_k_86_1_0[j] = (k_86_0_0[j] + ((t247[j] * c_86_0_1) + (t243[j] * c_86_0_2))) + ((t237[j] * c_86_0_3) + k_86_0_1[j]);
  ip_k_86_1_1[j] = (k_86_0_2[j] + (t240[j] * c_86_0_2)) + ((t234[j] * c_86_0_3) + k_86_0_3[j]);
  ip_k_86_1_2[j] = (k_86_0_4[j] + (t238[j] * c_86_0_2)) + k_86_0_5[j];
  ip_j_86_1_0[j] = j_86_0_0[j] + (t134[facet[1]][ip][j] * c_86_0_1);
  ip_j_86_1_1[j] = j_86_0_1[j] + (t135[facet[1]][ip][j] * c_86_0_3);
  ip_j_86_1_2[j] = j_86_0_2[j] + (t135[facet[1]][ip][j] * c_86_0_1);
  ip_k_87_0_0[j] = t133[facet[1]][ip][j] * t204;
  ip_k_87_0_1[j] = t210[j] * -1;
  ip_k_87_0_2[j] = t226[j] * -1;
  ip_k_87_0_3[j] = t224[j] * -1;
  ip_k_87_0_4[j] = t219[j] * -1;
  ip_k_87_0_5[j] = t134[facet[1]][ip][j] * t204;
  ip_k_87_0_6[j] = t217[j] * -1;
  ip_k_87_0_7[j] = t216[j] * -1;
  ip_k_87_0_8[j] = t222[j] * -1;
  ip_k_87_0_9[j] = t213[j] * -1;
  ip_k_87_1_0[j] = (k_87_0_0[j] + ((t222[j] * c_87_0_1) + (t226[j] * c_87_0_2))) + ((t216[j] * c_87_0_3) + k_87_0_1[j]);
  ip_k_87_1_1[j] = (k_87_0_2[j] + ((t224[j] * c_87_0_2) + (t219[j] * c_87_0_1))) + ((t213[j] * c_87_0_3) + k_87_0_3[j]);
  ip_k_87_1_2[j] = (k_87_0_4[j] + (t217[j] * c_87_0_1)) + ((t210[j] * c_87_0_3) + k_87_0_5[j]);
  ip_j_87_1_0[j] = j_87_0_0[j] + (t135[facet[1]][ip][j] * c_87_0_2);

}

for (int  j  = 0; j < 12; j += 1)
{
  k_84_0_0[j] = t180[j] * c_84_0_0;
  k_84_0_1[j] = (t176[j] * c_84_0_2) + (t170[j] * c_84_0_3);
  k_84_0_2[j] = t178[j] * c_84_0_0;
  k_84_0_3[j] = (t167[j] * c_84_0_3) + (t173[j] * c_84_0_2);
  k_84_0_4[j] = t177[j] * c_84_0_0;
  k_84_0_5[j] = t171[j] * c_84_0_2;
  k_84_0_6[j] = t164[j] * c_84_0_3;
  j_84_0_0[j] = t198[j] * -1;
  j_84_0_1[j] = t196[j] * -1;
  j_84_0_2[j] = t195[j] * -1;
  k_85_0_0[j] = t162[j] * c_85_0_0;
  k_85_0_1[j] = (t158[j] * c_85_0_2) + (t152[j] * c_85_0_3);
  k_85_0_2[j] = t160[j] * c_85_0_0;
  k_85_0_3[j] = (t149[j] * c_85_0_3) + (t155[j] * c_85_0_2);
  k_85_0_4[j] = t159[j] * c_85_0_0;
  k_85_0_5[j] = (t146[j] * c_85_0_3) + (t153[j] * c_85_0_2);
  j_85_0_0[j] = t195[j] * -1;
  j_85_0_1[j] = t198[j] * -1;
  k_86_0_0[j] = t180[j] * c_86_0_0;
  k_86_0_1[j] = (t176[j] * c_86_0_4) + (t170[j] * c_86_0_5);
  k_86_0_2[j] = t178[j] * c_86_0_0;
  k_86_0_3[j] = (t167[j] * c_86_0_5) + (t173[j] * c_86_0_4);
  k_86_0_4[j] = t177[j] * c_86_0_0;
  k_86_0_5[j] = (t171[j] * c_86_0_4) + (t164[j] * c_86_0_5);
  j_86_0_0[j] = t188[j] * -1;
  j_86_0_1[j] = t181[j] * -1;
  j_86_0_2[j] = t187[j] * -1;
  k_87_0_0[j] = t162[j] * c_87_0_0;
  k_87_0_1[j] = (t158[j] * c_87_0_4) + (t152[j] * c_87_0_5);
  k_87_0_2[j] = t160[j] * c_87_0_0;
  k_87_0_3[j] = (t149[j] * c_87_0_5) + (t155[j] * c_87_0_4);
  k_87_0_4[j] = t159[j] * c_87_0_0;
  k_87_0_5[j] = (t146[j] * c_87_0_5) + (t153[j] * c_87_0_4);
  j_87_0_0[j] = t187[j] * -1;

}

for (int  i  = 0; i < 4; i += 1)
{
  w_1[0][i+8] = w_1_[i+16][0];
  w_1[1][i+8] = w_1_[i+20][0];

}

On rank 1:


for (int  j  = 0; j < 12; j += 1)
{
  k_84_0_0[j] = t180[j] * c_84_0_0;
  k_84_0_1[j] = (t176[j] * c_84_0_2) + (t170[j] * c_84_0_3);
  k_84_0_2[j] = t178[j] * c_84_0_0;
  k_84_0_3[j] = (t167[j] * c_84_0_3) + (t173[j] * c_84_0_2);
  k_84_0_4[j] = t177[j] * c_84_0_0;
  k_84_0_5[j] = t171[j] * c_84_0_2;
  k_84_0_6[j] = t164[j] * c_84_0_3;
  j_84_0_0[j] = t198[j] * -1;
  j_84_0_1[j] = t196[j] * -1;
  j_84_0_2[j] = t195[j] * -1;
  k_85_0_0[j] = t162[j] * c_85_0_0;
  k_85_0_1[j] = (t158[j] * c_85_0_2) + (t152[j] * c_85_0_3);
  k_85_0_2[j] = t160[j] * c_85_0_0;
  k_85_0_3[j] = (t149[j] * c_85_0_3) + (t155[j] * c_85_0_2);
  k_85_0_4[j] = t159[j] * c_85_0_0;
  k_85_0_5[j] = (t146[j] * c_85_0_3) + (t153[j] * c_85_0_2);
  j_85_0_0[j] = t195[j] * -1;
  j_85_0_1[j] = t198[j] * -1;
  k_86_0_0[j] = t180[j] * c_86_0_0;
  k_86_0_1[j] = (t176[j] * c_86_0_4) + (t170[j] * c_86_0_5);
  k_86_0_2[j] = t178[j] * c_86_0_0;
  k_86_0_3[j] = (t167[j] * c_86_0_5) + (t173[j] * c_86_0_4);
  k_86_0_4[j] = t177[j] * c_86_0_0;
  k_86_0_5[j] = (t171[j] * c_86_0_4) + (t164[j] * c_86_0_5);
  j_86_0_0[j] = t188[j] * -1;
  j_86_0_1[j] = t181[j] * -1;
  j_86_0_2[j] = t187[j] * -1;
  k_87_0_0[j] = t162[j] * c_87_0_0;
  k_87_0_1[j] = (t158[j] * c_87_0_4) + (t152[j] * c_87_0_5);
  k_87_0_2[j] = t160[j] * c_87_0_0;
  k_87_0_3[j] = (t149[j] * c_87_0_5) + (t155[j] * c_87_0_4);
  k_87_0_4[j] = t159[j] * c_87_0_0;
  k_87_0_5[j] = (t146[j] * c_87_0_5) + (t153[j] * c_87_0_4);
  j_87_0_0[j] = t187[j] * -1;

}

for (int  j  = 0; j < 12; j += 1)
{
  ip_k_84_0_0[j] = t240[j] * -1;
  ip_k_84_0_1[j] = t234[j] * -1;
  ip_k_84_0_2[j] = t245[j] * -1;
  ip_k_84_0_3[j] = t133[facet[0]][ip][j] * t205;
  ip_k_84_0_4[j] = t237[j] * -1;
  ip_k_84_0_5[j] = t231[j] * -1;
  ip_k_84_0_6[j] = t238[j] * -1;
  ip_k_84_1_0[j] = (k_84_0_0[j] + (t237[j] * c_84_0_1)) + k_84_0_1[j];
  ip_k_84_1_1[j] = (k_84_0_2[j] + ((t245[j] * c_84_0_4) + (t240[j] * c_84_0_5))) + ((t234[j] * c_84_0_1) + k_84_0_3[j]);
  ip_k_84_1_2[j] = ((k_84_0_4[j] + (t231[j] * c_84_0_1)) + ((t238[j] * c_84_0_5) + k_84_0_5[j])) + k_84_0_6[j];
  ip_j_84_1_0[j] = j_84_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_4);
  ip_j_84_1_1[j] = j_84_0_1[j] + (t135[facet[0]][ip][j] * c_84_0_4);
  ip_j_84_1_2[j] = j_84_0_2[j] + (t133[facet[0]][ip][j] * c_84_0_5);
  ip_k_85_0_0[j] = t219[j] * -1;
  ip_k_85_0_1[j] = t217[j] * -1;
  ip_k_85_0_2[j] = t134[facet[1]][ip][j] * t204;
  ip_k_85_0_3[j] = t223[j] * -1;
  ip_k_85_0_4[j] = t224[j] * -1;
  ip_k_85_0_5[j] = t213[j] * -1;
  ip_k_85_0_6[j] = t133[facet[1]][ip][j] * t204;
  ip_k_85_0_7[j] = t216[j] * -1;
  ip_k_85_0_8[j] = t210[j] * -1;
  ip_k_85_1_0[j] = (k_85_0_0[j] + (t216[j] * c_85_0_1)) + k_85_0_1[j];
  ip_k_85_1_1[j] = (k_85_0_2[j] + ((t224[j] * c_85_0_5) + (t219[j] * c_85_0_4))) + ((t213[j] * c_85_0_1) + k_85_0_3[j]);
  ip_k_85_1_2[j] = (k_85_0_4[j] + ((t223[j] * c_85_0_5) + (t217[j] * c_85_0_4))) + ((t210[j] * c_85_0_1) + k_85_0_5[j]);
  ip_j_85_1_0[j] = j_85_0_0[j] + (t133[facet[0]][ip][j] * c_85_0_4);
  ip_j_85_1_1[j] = j_85_0_1[j] + (t133[facet[0]][ip][j] * c_85_0_5);
  ip_k_86_0_0[j] = t133[facet[0]][ip][j] * t205;
  ip_k_86_0_1[j] = t247[j] * -1;
  ip_k_86_0_2[j] = t240[j] * -1;
  ip_k_86_0_3[j] = t134[facet[0]][ip][j] * t205;
  ip_k_86_0_4[j] = t238[j] * -1;
  ip_k_86_0_5[j] = t237[j] * -1;
  ip_k_86_0_6[j] = t243[j] * -1;
  ip_k_86_0_7[j] = t234[j] * -1;
  ip_k_86_1_0[j] = (k_86_0_0[j] + ((t247[j] * c_86_0_1) + (t243[j] * c_86_0_2))) + ((t237[j] * c_86_0_3) + k_86_0_1[j]);
  ip_k_86_1_1[j] = (k_86_0_2[j] + (t240[j] * c_86_0_2)) + ((t234[j] * c_86_0_3) + k_86_0_3[j]);
  ip_k_86_1_2[j] = (k_86_0_4[j] + (t238[j] * c_86_0_2)) + k_86_0_5[j];
  ip_j_86_1_0[j] = j_86_0_0[j] + (t134[facet[1]][ip][j] * c_86_0_1);
  ip_j_86_1_1[j] = j_86_0_1[j] + (t135[facet[1]][ip][j] * c_86_0_3);
  ip_j_86_1_2[j] = j_86_0_2[j] + (t135[facet[1]][ip][j] * c_86_0_1);
  ip_k_87_0_0[j] = t133[facet[1]][ip][j] * t204;
  ip_k_87_0_1[j] = t210[j] * -1;
  ip_k_87_0_2[j] = t226[j] * -1;
  ip_k_87_0_3[j] = t224[j] * -1;
  ip_k_87_0_4[j] = t219[j] * -1;
  ip_k_87_0_5[j] = t134[facet[1]][ip][j] * t204;
  ip_k_87_0_6[j] = t217[j] * -1;
  ip_k_87_0_7[j] = t216[j] * -1;
  ip_k_87_0_8[j] = t222[j] * -1;
  ip_k_87_0_9[j] = t213[j] * -1;
  ip_k_87_1_0[j] = (k_87_0_0[j] + ((t222[j] * c_87_0_1) + (t226[j] * c_87_0_2))) + ((t216[j] * c_87_0_3) + k_87_0_1[j]);
  ip_k_87_1_1[j] = (k_87_0_2[j] + ((t224[j] * c_87_0_2) + (t219[j] * c_87_0_1))) + ((t213[j] * c_87_0_3) + k_87_0_3[j]);
  ip_k_87_1_2[j] = (k_87_0_4[j] + (t217[j] * c_87_0_1)) + ((t210[j] * c_87_0_3) + k_87_0_5[j]);
  ip_j_87_1_0[j] = j_87_0_0[j] + (t135[facet[1]][ip][j] * c_87_0_2);

}

for (int  i  = 0; i < 4; i += 1)
{
  w_1[0][i+8] = w_1_[i+16][0];
  w_1[1][i+8] = w_1_[i+20][0];

}

The resulting difference between the loops:

@@ -10,9 +10,9 @@
   ip_k_84_1_0[j] = (k_84_0_0[j] + (t237[j] * c_84_0_1)) + k_84_0_1[j];
   ip_k_84_1_1[j] = (k_84_0_2[j] + ((t245[j] * c_84_0_4) + (t240[j] * c_84_0_5))) + ((t234[j] * c_84_0_1) + k_84_0_3[j]);
   ip_k_84_1_2[j] = ((k_84_0_4[j] + (t231[j] * c_84_0_1)) + ((t238[j] * c_84_0_5) + k_84_0_5[j])) + k_84_0_6[j];
-  ip_j_84_1_0[j] = j_84_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_4);
+  ip_j_84_1_0[j] = j_85_0_1[j] + (t133[facet[0]][ip][j] * c_84_0_4);
   ip_j_84_1_1[j] = j_84_0_1[j] + (t135[facet[0]][ip][j] * c_84_0_4);
-  ip_j_84_1_2[j] = j_84_0_2[j] + (t133[facet[0]][ip][j] * c_84_0_5);
+  ip_j_84_1_2[j] = j_85_0_0[j] + (t133[facet[0]][ip][j] * c_84_0_5);
   ip_k_85_0_0[j] = t219[j] * -1;
   ip_k_85_0_1[j] = t217[j] * -1;
   ip_k_85_0_2[j] = t134[facet[1]][ip][j] * t204;
@@ -40,7 +40,7 @@
   ip_k_86_1_2[j] = (k_86_0_4[j] + (t238[j] * c_86_0_2)) + k_86_0_5[j];
   ip_j_86_1_0[j] = j_86_0_0[j] + (t134[facet[1]][ip][j] * c_86_0_1);
   ip_j_86_1_1[j] = j_86_0_1[j] + (t135[facet[1]][ip][j] * c_86_0_3);
-  ip_j_86_1_2[j] = j_86_0_2[j] + (t135[facet[1]][ip][j] * c_86_0_1);
+  ip_j_86_1_2[j] = j_87_0_0[j] + (t135[facet[1]][ip][j] * c_86_0_1);
   ip_k_87_0_0[j] = ip_k_85_0_6[j];
   ip_k_87_0_1[j] = ip_k_85_0_8[j];
   ip_k_87_0_2[j] = t226[j] * -1;
FabioLuporini commented 7 years ago

Yes, that's what I thought although I'm still unable to reproduce the bug. That's why I pointed you to those lines.

Can you replace these two lines: found_nests = defaultdict(list) ---> OrderedDict() found_nests[key].append(loops[-1]) ---> found_nests.setdefault(key, []).append(loops[-1])

and see if the problem goes away?

Sorry I can't test it myself

wence- commented 7 years ago

That seems to work.

FabioLuporini commented 7 years ago

Right, thanks, fix in #92