Ice Sheet System Model  4.18
Code documentation
fsanalyticals.cpp
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1 
17 #include <math.h>
18 #include "../Numerics/types.h"
19 #include "../Numerics/constants.h"
20 #include "./fsanalyticals.h"
21 #include "../shared.h"
22 
23 //#define GOCOMPILE 0
24 #ifdef GOCOMPILE
25 IssmDouble fx(IssmDouble x,IssmDouble y,IssmDouble z,int testid){ /*{{{*/
26  IssmDouble p=2;
27  IssmDouble q=2;
28  IssmDouble a=1;
29 
30  switch(testid){
31  case 1:
32  z=y;
33  return 4*pow(x, 2)*z*pow(x - 1, 2) + 4*pow(x, 2)*z*(z - 1)*(2*z - 1) + 4*pow(x, 2)*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*pow(x - 1, 2)*(2*z - 1) + 16*x*z*(x - 1)*(z - 1)*(2*z - 1) - 4*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) + 6*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) + 4*z*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 2*z*(6*pow(x, 2) - 6*x + 1) + z - 1.0L/2.0L;
34  case 2:
35  z=y;
36  return 10*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 3)*pow(sin(PI*p*z), 2)*cos(PI*p*z) - 2*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 3)*pow(cos(PI*p*z), 3) - 6*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*pow(sin(PI*p*z), 2)*pow(cos(PI*p*x), 2)*cos(PI*p*z) + PI*q*sin(PI*q*z)*cos(PI*q*x);
37  case 3:
38  return 4*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 4*pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1) + 4*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 4*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 4*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) + 16*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - 2*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + 4*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1) + y - 1.0L/2.0L;
39  case 4:
40  return 4*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) + 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x) + PI*q*sin(PI*q*y)*sin(PI*q*z)*cos(PI*q*x);
41  case 5:
42  return 2.*(cos(PI*p*x) - 1)*PI*PI*p*p*sin(PI*p*y) + 3*PI*PI*p*p*sin(PI*p*y)*cos(PI*p*x) + PI*q*sin(PI*q*y)*cos(PI*q*x);
43  case 6:
44  return 4. * PI*PI * p*p * (cos(p*PI*x)-1) * sin(p*PI*y) * sin(p*PI*z)+ 2. * PI*PI*p*p* sin(p*PI*y) * sin(p*PI*z) * cos(p*PI*x) + q * PI * cos(q*PI*x) * sin(q*PI*y) * sin(q*PI*z);
45  case 7:
46  z=y;
47  return 4*pow(x, 2)*z*pow(x - 1, 2) + 4*pow(x, 2)*z*(z - 1)*(2*z - 1) + 4*pow(x, 2)*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*pow(x - 1, 2)*(2*z - 1) + 16*x*z*(x - 1)*(z - 1)*(2*z - 1) - 4*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) + 6*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) + 4*z*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 2*z*(6*pow(x, 2) - 6*x + 1) + 1;
48  case 8: case 18:
49  return 1.0;
50  case 9:
51  return 4*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) + 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x) + 2*x*z;
52  case 10:
53  return 4*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) + 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x) + PI*q*pow(z, a)*sin(PI*q*y)*cos(PI*q*x);
54  case 11:
55  z=y;
56  return 32.0/5.0*pow(PI, 2)*sin(8*PI*z) + 8*PI*cos(8*PI*x + 1.0/3.0*PI);
57  case 12:
58  z=y;
59  return 32.0/5.0*pow(PI, 2)*sin(8*PI*z);
60  case 13:
61  z=y;
62  return 8.0*pow(PI, 2)*pow(x, 2)*(z - 2)*sin(4*PI*x*z) - 4.0*PI*x*cos(4*PI*x*z) + 16.0*pow(PI, 2)*pow(z, 2)*(z - 2)*sin(4*PI*x*z) - 0.25*PI*((16*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + 4*pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + 4*pow(PI, 2)*x*z*sin(4*PI*x*z) - 4*PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 16*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 16*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + 4*PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 8*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - PI*cos(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) + 3*(-4*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) + PI*x*cos(4*PI*x*z) + 4*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 4*PI*sin(4*PI*z)*cos(4*PI*x);
63  case 14:
64  z=y;
65  return 8.0*pow(2, 1.0L/3.0L)*pow(PI, 2)*pow(z, 2)*(z - 2)*sin(4*PI*x*z)/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 1.0L/3.0L) - 0.0266666666666667*pow(2, 1.0L/3.0L)*PI*z*(z - 2)*(800.0*pow(PI, 3)*pow(z, 3)*pow(z - 2, 2)*sin(4*PI*x*z)*cos(4*PI*x*z) - (-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x))*(40.0*pow(PI, 2)*x*z*(z - 2)*sin(4*PI*x*z) - 10.0*PI*z*cos(4*PI*x*z) - 10.0*PI*(z - 2)*cos(4*PI*x*z) + 1.25*PI*(32*cos(4*PI*x)/pow(x, 2) - 4*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(PI*pow(x, 3)) - 4*(4*pow(PI, 2)*pow(z, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(z, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) - 2*PI*z*(-PI*z + PI)*sin(4*PI*x*z) - 8*PI*z*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - (pow(PI, 2)*pow(z, 2) - 2*pow(PI, 2)*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 20*sin(4*PI*x)/(PI*pow(x, 3)) - 6*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 4)) - 6*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4)) + 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 5)) + 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 5))) + 8*pow(PI, 2)*sin(4*PI*x)) - (50*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 12.5*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 12.5*PI*x*cos(4*PI*x*z) - 50*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))*(4*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + pow(PI, 2)*x*z*sin(4*PI*x*z) - PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 4.0*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 4*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 2*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - 0.25*PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*cos(4*PI*x*z))/(pow(PI, 4)*pow(x, 6)) + 150*pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 7)))*cos(4*PI*x*z)/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 4.0L/3.0L) + (1.0L/10.0L)*pow(2, 1.0L/3.0L)*(40.0*pow(PI, 2)*pow(x, 2)*(z - 2)*sin(4*PI*x*z) - 20.0*PI*x*cos(4*PI*x*z) - 1.25*PI*((16*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + 4*pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + 4*pow(PI, 2)*x*z*sin(4*PI*x*z) - 4*PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 16*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 16*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + 4*PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 8*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - PI*cos(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) + 3*(-4*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) + PI*x*cos(4*PI*x*z) + 4*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))))/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 1.0L/3.0L) + 4*PI*sin(4*PI*z)*cos(4*PI*x) + (1.0L/150.0L)*pow(2, 1.0L/3.0L)*(-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x))*(160.0*pow(PI, 3)*x*pow(z, 2)*pow(z - 2, 2)*sin(4*PI*x*z)*cos(4*PI*x*z) - 40.0*pow(PI, 2)*pow(z, 2)*(z - 2)*pow(cos(4*PI*x*z), 2) - 40.0*pow(PI, 2)*z*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (-8.0*pow(PI, 2)*pow(x, 2)*(z - 2)*sin(4*PI*x*z) + 4.0*PI*x*cos(4*PI*x*z) + 0.25*PI*((16*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + 4*pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + 4*pow(PI, 2)*x*z*sin(4*PI*x*z) - 4*PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 16*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 16*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + 4*PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 8*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - PI*cos(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) + 3*(-4*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) + PI*x*cos(4*PI*x*z) + 4*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))))*(-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x)) - (10*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 2.5*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 2.5*PI*x*cos(4*PI*x*z) - 10*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))*(4*pow(PI, 2)*pow(x, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*sin(4*PI*x*z) - 8.0*PI*x*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z))/(pow(PI, 4)*pow(x, 6)))/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 4.0L/3.0L);
66  case 15:
67  z=y;
68  return -24000000000*pow(z - 1, 2) - 1000000*PI*sin(10*PI*x);
69  case 21:
70  z=y;
71  return z - 4.0L/3.0L*pow(2, 1.0L/3.0L)*(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1))*(4*(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1))*(pow(x, 2)*z*(z - 1)*(2*z - 1) + 4*x*z*(x - 1)*(z - 1)*(2*z - 1) + z*pow(x - 1, 2)*(z - 1)*(2*z - 1)) + 4*(2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - 3*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) + z*(6*pow(x, 2) - 6*x + 1))*(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x)) + (2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1))*(2*pow(x, 2)*z*(x - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(2*z - 1) + pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 2*x*z*pow(x - 1, 2)*(z - 1) + x*z*pow(x - 1, 2)*(2*z - 1) + x*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 3*pow(z, 4)*(2*x - 1) + 6*pow(z, 3)*(2*x - 1) - 3*pow(z, 2)*(2*x - 1)))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 4.0L/3.0L) - 1.0L/3.0L*pow(2, 1.0L/3.0L)*(4*(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1))*(2*pow(x, 2)*z*(x - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(2*z - 1) + pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 2*x*z*pow(x - 1, 2)*(z - 1) + x*z*pow(x - 1, 2)*(2*z - 1) + x*pow(x - 1, 2)*(z - 1)*(2*z - 1)) + 4*(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x))*(2*pow(x, 3) - 3*pow(x, 2) + x + 6*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 6*z*(2*pow(x, 3) - 3*pow(x, 2) + x)) + (2*pow(x, 2)*z*pow(x - 1, 2) + 2*pow(x, 2)*pow(x - 1, 2)*(z - 1) + pow(x, 2)*pow(x - 1, 2)*(2*z - 1) - 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) + 3*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) - z*(6*pow(x, 2) - 6*x + 1))*(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1)))*(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 4.0L/3.0L) + 2*pow(2, 1.0L/3.0L)*(pow(x, 2)*z*(z - 1)*(2*z - 1) + 4*x*z*(x - 1)*(z - 1)*(2*z - 1) + z*pow(x - 1, 2)*(z - 1)*(2*z - 1))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 1.0L/3.0L) - 0.5 + pow(2, 1.0L/3.0L)*(2*pow(x, 2)*z*pow(x - 1, 2) + 2*pow(x, 2)*pow(x - 1, 2)*(z - 1) + pow(x, 2)*pow(x - 1, 2)*(2*z - 1) - 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) + 3*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) - z*(6*pow(x, 2) - 6*x + 1))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 1.0L/3.0L);
72  case 22:
73  z=y;
74  return -2*pow(2, 1.0L/3.0L)*(pow(x, 2)*z*pow(z - 2, 2) + 4*x*z*(x - 2)*pow(z - 2, 2) + z*pow(x - 2, 2)*pow(z - 2, 2))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 1.0L/3.0L) + (2.0L/9.0L)*pow(2, 1.0L/3.0L)*(2*pow(x, 2)*z*(x - 2)*pow(z - 2, 2) + 2*x*z*pow(x - 2, 2)*pow(z - 2, 2) + 1)*(96*pow(x, 7) - 672*pow(x, 6) + 1728*pow(x, 5) - 1920*pow(x, 4) + 768*pow(x, 3) + 9*pow(z, 8)*(3*pow(x, 3) - 9*pow(x, 2) + 8*x - 2) - 96*pow(z, 7)*(3*pow(x, 3) - 9*pow(x, 2) + 8*x - 2) + pow(z, 6)*(207*pow(x, 5) - 1035*pow(x, 4) + 3012*pow(x, 3) - 4896*pow(x, 2) + 3512*x - 800) - 24*pow(z, 5)*(69*pow(x, 5) - 345*pow(x, 4) + 700*pow(x, 3) - 720*pow(x, 2) + 360*x - 64) + 2*pow(z, 4)*(27*pow(x, 7) - 189*pow(x, 6) + 2988*pow(x, 5) - 13050*pow(x, 4) + 22976*pow(x, 3) - 18240*pow(x, 2) + 6064*x - 576) - 8*pow(z, 3)*(36*pow(x, 7) - 252*pow(x, 6) + 1512*pow(x, 5) - 5040*pow(x, 4) + 7840*pow(x, 3) - 5385*pow(x, 2) + 1298*x - 6) + 48*pow(z, 2)*(11*pow(x, 7) - 77*pow(x, 6) + 276*pow(x, 5) - 610*pow(x, 4) + 768*pow(x, 3) - 486*pow(x, 2) + 124*x - 4) - 96*z*(4*pow(x, 7) - 28*pow(x, 6) + 72*pow(x, 5) - 80*pow(x, 4) + 32*pow(x, 3) - 3*pow(x, 2) + 6*x - 2))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 4.0L/3.0L) - pow(2, 1.0L/3.0L)*(pow(x, 2)*z*pow(x - 2, 2) + 2*pow(x, 2)*pow(x - 2, 2)*(z - 2) - 2*pow(z, 3)*(3*pow(x, 2) - 6*x + 2) + 8*pow(z, 2)*(3*pow(x, 2) - 6*x + 2) - 8*z*(3*pow(x, 2) - 6*x + 2))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 1.0L/3.0L) - 1.0L/27.0L*pow(2, 1.0L/3.0L)*(6*pow(x, 2)*z*pow(x - 2, 2)*(z - 2) + 3*pow(x, 2)*pow(x - 2, 2)*pow(z - 2, 2) - 3*pow(z, 4)*(3*pow(x, 2) - 6*x + 2) + 16*pow(z, 3)*(3*pow(x, 2) - 6*x + 2) - 24*pow(z, 2)*(3*pow(x, 2) - 6*x + 2))*(48*pow(x, 8) - 384*pow(x, 7) + 1152*pow(x, 6) - 1536*pow(x, 5) + 768*pow(x, 4) - 96*pow(x, 3) + 288*pow(x, 2) - 192*x - 6*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + 56*pow(z, 6)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - pow(z, 5)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) + 20*pow(z, 4)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) - pow(z, 3)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) + 12*pow(z, 2)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) - 12*z*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 4.0L/3.0L) + 4*PI*cos(4*PI*x + (1.0L/3.0L)*PI);
75  case 24:
76  return 2*pow(2, 1.0L/3.0L)*pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L) - 2.0L/3.0L*pow(2, 1.0L/3.0L)*PI*p*(12*pow(PI, 3)*pow(p, 3)*sin(PI*p*x)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2)*cos(PI*p*x) - (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)))*sin(PI*p*x)*sin(PI*p*y)*sin(PI*p*z)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) + PI*q*sin(PI*q*y)*sin(PI*q*z)*cos(PI*q*x) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*sin(PI*p*y)*pow(sin(PI*p*z), 2)*cos(PI*p*y) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*sin(PI*p*z)*cos(PI*p*z) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(-2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) + pow(2, 1.0L/3.0L)*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L);
77 
78  case 101:
79  return 4*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 8*pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1) + 4*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 12*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - 6*x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 12*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) + 32*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 6*x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - 6*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + 8*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 6*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1);
80  case 103:
81  return 50*pow(M_PI, 2)*x*y*(x - 1)*(y - 1)*pow(sin(5*M_PI*z), 2) - 50*pow(M_PI, 2)*x*y*(x - 1)*(y - 1)*pow(cos(5*M_PI*z), 2) - 3*x*y*pow(sin(4*M_PI*z), 2) - 2*x*(x - 1)*pow(sin(5*M_PI*z), 2) - 3*x*(y - 1)*pow(sin(4*M_PI*z), 2) - 3*y*(x - 1)*pow(sin(4*M_PI*z), 2) - 8*y*(y - 1)*pow(sin(5*M_PI*z), 2) - 3*(x - 1)*(y - 1)*pow(sin(4*M_PI*z), 2);
82  case 201:
83  return pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L) + y - 1.0L/18.0L*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + (2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2) - 2*x*pow(y, 2)*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) - pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - 2.0L/9.0L*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*((x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2) + x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2) + 2*x*pow(y, 2)*(x - 1)*pow(y - 1, 2)*(z - 1) + x*pow(y, 2)*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 2*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) + x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) + 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) + x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 4*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) + 2*(pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 4*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L) - 1.0L/18.0L*(2*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + (pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) + 4*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) - y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - 1.0L/2.0L + (2*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) - y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L);
84  case 202:
85  return -x*y*(x - 1)*(y - 1)/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) - 4*y*z*(y - 1)*(z - 1)/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) + (1.0L/18.0L)*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(10*x*y*(x - 1)*(y - 1)*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1)) + 8*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + x*y*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(y - 1) + x*y*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)) + (x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + 2*x*y*z*(y - 1) + x*y*(x - 1)*(z - 1) + 2*x*y*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1) + 2*y*(x - 1)*(y - 1)*(z - 1)) + 2*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(2*x*y*z*(x - 1) + x*y*z*(y - 1) + 2*x*y*(x - 1)*(z - 1) + x*y*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1) + 2*x*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) + (2.0L/9.0L)*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(4*y*z*(y - 1)*(z - 1)*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(y - 1) + x*y*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)) + 8*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + (x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + 4*y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 4*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) + (2.0L/9.0L)*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(4*y*z*(y - 1)*(z - 1)*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(y - 1) + x*y*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)) + 8*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + (x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + 4*y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 4*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) - 2*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) + (1.0L/18.0L)*(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(16*x*z*(x - 1)*(z - 1)*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + x*y*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + 4*x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) - (x*y*z*(z - 1) + x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L);
86  case 211:
87  return (200.0L/707238535107.0L)*pow(17, 2.0L/3.0L)*pow(6, 1.0L/3.0L)*(-9*(169*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(2197*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)) + 13*(9*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 78*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(9*sqrt(13)*z*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 117*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 1014*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 2197*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)))/pow((8.0L/17.0L)*pow(fabs((15.0L/26.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/4394.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs(-45.0L/2197.0L*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (30.0L/169.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 5.0L/169.0L*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs((135.0L/4394.0L)*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 45.0L/169.0L*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/338.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + 1, 4.0L/3.0L) - 150.0L/235746178369.0L*pow(17, 2.0L/3.0L)*pow(6, 1.0L/3.0L)*(3*(169*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(507*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 3*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + 3*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 6591*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 3*sqrt(13)*z*(6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 169*sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 507*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 28561*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))) + 13*(9*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 78*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(9*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 78*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 3*sqrt(13)*z*(-6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + 3*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 6591*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 3*sqrt(13)*z*(6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 169*sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 507*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 2197*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))))/pow((8.0L/17.0L)*pow(fabs((15.0L/26.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/4394.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs(-45.0L/2197.0L*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (30.0L/169.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 5.0L/169.0L*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs((135.0L/4394.0L)*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 45.0L/169.0L*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/338.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + 1, 4.0L/3.0L);
88 
89  case 212:
90  return (16.0L/9.0L)*x*(4*x + 1)/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 1.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 4.0L/3.0L)) + (64.0L/3.0L)*x*(-(4*x + 1)*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/pow(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11, 2) + 2*(pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (y + 3*z)/fabs(y + 3*z))*((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z))/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11))/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 4.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 1.0L/3.0L)) + (4.0L/9.0L)*(4*x + 1)/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 1.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 4.0L/3.0L)) - 4/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 1.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 1.0L/3.0L)) + (16.0L/3.0L)*(-(4*x + 1)*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/pow(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11, 2) + 2*(pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (y + 3*z)/fabs(y + 3*z))*((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z))/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11))/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 4.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 1.0L/3.0L));
91 
92  default:
93  _error_("FS analytical solution"<<testid<<" not implemented yet");
94  }
95 }
96 /*}}}*/
97 IssmDouble fy(IssmDouble x,IssmDouble y,IssmDouble z,int testid){ /*{{{*/
98  IssmDouble p=2;
99  IssmDouble q=2;
100  IssmDouble a=1;
101 
102  switch(testid){
103  case 1:
104  z=y;
105  return -8*pow(x, 3) + 4*pow(x, 2)*z*(x - 1)*(z - 1) + 2*pow(x, 2)*z*(x - 1)*(2*z - 1) + 2*pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 12*pow(x, 2) + 4*x*z*pow(x - 1, 2)*(z - 1) + 2*x*z*pow(x - 1, 2)*(2*z - 1) + 2*x*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 3*x - 6*pow(z, 4)*(2*x - 1) + 12*pow(z, 3)*(2*x - 1) - 6*pow(z, 2)*(2*x - 1) - 24*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + 24*z*(2*pow(x, 3) - 3*pow(x, 2) + x) - 1.0L/2.0L;
106  case 2:
107  z=y;
108  return -10*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*z), 3)*cos(PI*p*x) + 6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*sin(PI*p*z)*cos(PI*p*x)*pow(cos(PI*p*z), 2) + 2*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*z), 3)*pow(cos(PI*p*x), 3) + PI*q*sin(PI*q*x)*cos(PI*q*z);
109  case 3:
110  return 4*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + 2*pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + 2*pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 4*x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) - 4*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) - 2*x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2) + 4*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 16*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + 2*x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 4*x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1) + x - 4*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - 2*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - 1.0L/2.0L;
111  case 4:
112  return -2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y) + PI*q*sin(PI*q*x)*sin(PI*q*z)*cos(PI*q*y);
113  case 5:
114  return -(cos(PI*p*y) - 1)*PI*PI*p*p*sin(PI*p*x) + PI*q*sin(PI*q*x)*cos(PI*q*y);
115  case 6:
116  return - 4. * PI*PI * p*p * (cos(p*PI*y)-1) * sin(p*PI*x) * sin(p*PI*z)- 2. * PI*PI * p*p * sin(p*PI*x) * cos(p*PI*y) * sin(p*PI*z)+ q * PI * sin(q*PI*x) * cos(q*PI*y) * sin(q*PI*z);
117  case 7:
118  z=y;
119  return -8*pow(x, 3) + 4*pow(x, 2)*z*(x - 1)*(z - 1) + 2*pow(x, 2)*z*(x - 1)*(2*z - 1) + 2*pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 12*pow(x, 2) + 4*x*z*pow(x - 1, 2)*(z - 1) + 2*x*z*pow(x - 1, 2)*(2*z - 1) + 2*x*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 4*x - 6*pow(z, 4)*(2*x - 1) + 12*pow(z, 3)*(2*x - 1) - 6*pow(z, 2)*(2*x - 1) - 24*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + 24*z*(2*pow(x, 3) - 3*pow(x, 2) + x);
120  case 8: case 18:
121  return 1.0;
122  case 9:
123  return -2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y) + 2*y*z;
124  case 10:
125  return -2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y) + PI*q*pow(z, a)*sin(PI*q*x)*cos(PI*q*y);
126  case 11:
127  z=y;
128  return 32.0/5.0*pow(PI, 2)*sin(8*PI*x) - 10.;
129  case 12:
130  z=y;
131  return 32.0/5.0*pow(PI, 2)*sin(8*PI*x) - 100;
132  case 13:
133  z=y;
134  return 8.0*pow(PI, 2)*x*z*(z - 2)*sin(4*PI*x*z) - 2.0*PI*z*cos(4*PI*x*z) - 2.0*PI*(z - 2)*cos(4*PI*x*z) + 0.25*PI*(32*cos(4*PI*x)/pow(x, 2) - 4*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(PI*pow(x, 3)) - 4*(4*pow(PI, 2)*pow(z, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(z, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) - 2*PI*z*(-PI*z + PI)*sin(4*PI*x*z) - 8*PI*z*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - (pow(PI, 2)*pow(z, 2) - 2*pow(PI, 2)*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 20*sin(4*PI*x)/(PI*pow(x, 3)) - 6*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 4)) - 6*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4)) + 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 5)) + 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 5))) + 4*PI*sin(4*PI*x)*cos(4*PI*z) + (8.0L/5.0L)*pow(PI, 2)*sin(4*PI*x) + 2*(-4.0*pow(PI, 2)*pow(x, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) - 1.0*pow(PI, 2)*pow(x, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) - 1.0*pow(PI, 2)*pow(x, 2)*sin(4*PI*x*z) + 8.0*PI*x*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z))/(pow(PI, 2)*pow(x, 3));
135  case 14:
136  z=y;
137  return 4*PI*sin(4*PI*x)*cos(4*PI*z) + (1.0L/10.0L)*pow(2, 1.0L/3.0L)*(40.0*pow(PI, 2)*x*z*(z - 2)*sin(4*PI*x*z) - 10.0*PI*z*cos(4*PI*x*z) - 10.0*PI*(z - 2)*cos(4*PI*x*z) + 1.25*PI*(32*cos(4*PI*x)/pow(x, 2) - 4*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(PI*pow(x, 3)) - 4*(4*pow(PI, 2)*pow(z, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(z, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) - 2*PI*z*(-PI*z + PI)*sin(4*PI*x*z) - 8*PI*z*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - (pow(PI, 2)*pow(z, 2) - 2*pow(PI, 2)*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 20*sin(4*PI*x)/(PI*pow(x, 3)) - 6*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 4)) - 6*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4)) + 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 5)) + 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 5))) + 8*pow(PI, 2)*sin(4*PI*x))/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 1.0L/3.0L) + (1.0L/750.0L)*pow(2, 1.0L/3.0L)*(-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x))*(800.0*pow(PI, 3)*pow(z, 3)*pow(z - 2, 2)*sin(4*PI*x*z)*cos(4*PI*x*z) - (-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x))*(40.0*pow(PI, 2)*x*z*(z - 2)*sin(4*PI*x*z) - 10.0*PI*z*cos(4*PI*x*z) - 10.0*PI*(z - 2)*cos(4*PI*x*z) + 1.25*PI*(32*cos(4*PI*x)/pow(x, 2) - 4*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(PI*pow(x, 3)) - 4*(4*pow(PI, 2)*pow(z, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(z, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) - 2*PI*z*(-PI*z + PI)*sin(4*PI*x*z) - 8*PI*z*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - (pow(PI, 2)*pow(z, 2) - 2*pow(PI, 2)*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 20*sin(4*PI*x)/(PI*pow(x, 3)) - 6*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 4)) - 6*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4)) + 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 5)) + 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 5))) + 8*pow(PI, 2)*sin(4*PI*x)) - (50*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 12.5*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 12.5*PI*x*cos(4*PI*x*z) - 50*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))*(4*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + pow(PI, 2)*x*z*sin(4*PI*x*z) - PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 4.0*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 4*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 2*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - 0.25*PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*cos(4*PI*x*z))/(pow(PI, 4)*pow(x, 6)) + 150*pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 7)))/pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 4.0L/3.0L) - pow(2, 1.0L/3.0L)*(4.0*pow(PI, 2)*pow(x, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*sin(4*PI*x*z) - 8.0*PI*x*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z))/(pow(PI, 2)*pow(x, 3)*pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 1.0L/3.0L)) - 1.0L/15.0L*pow(2, 1.0L/3.0L)*(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) + (-1.0*pow(PI, 2)*pow(x, 2)*z + pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))*(160.0*pow(PI, 3)*x*pow(z, 2)*pow(z - 2, 2)*sin(4*PI*x*z)*cos(4*PI*x*z) - 40.0*pow(PI, 2)*pow(z, 2)*(z - 2)*pow(cos(4*PI*x*z), 2) - 40.0*pow(PI, 2)*z*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (-8.0*pow(PI, 2)*pow(x, 2)*(z - 2)*sin(4*PI*x*z) + 4.0*PI*x*cos(4*PI*x*z) + 0.25*PI*((16*pow(PI, 2)*x*z*(PI*x*z - PI*x)*cos(4*PI*x*z) + 4*pow(PI, 2)*x*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + 4*pow(PI, 2)*x*z*sin(4*PI*x*z) - 4*PI*x*(-PI*z + PI)*sin(4*PI*x*z) - 16*PI*x*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*cos(4*PI*x*z) - 16*PI*z*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z) + 4*PI*(PI*x*z - PI*x)*sin(4*PI*x*z) - 8*(pow(PI, 2)*x*z - pow(PI, 2)*x)*sin(4*PI*x*z) - PI*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - PI*cos(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) + 3*(-4*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) + PI*x*cos(4*PI*x*z) + 4*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))))*(-10.0*PI*x*(z - 2)*cos(4*PI*x*z) + 0.3125*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) - 2.5*sin(4*PI*x*z) - 2*PI*cos(4*PI*x)) - (10*PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 2.5*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 2.5*PI*x*cos(4*PI*x*z) - 10*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z))*(4*pow(PI, 2)*pow(x, 2)*(PI*x*z - PI*x)*cos(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z) + pow(PI, 2)*pow(x, 2)*sin(4*PI*x*z) - 8.0*PI*x*(pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*cos(4*PI*x*z))/(pow(PI, 4)*pow(x, 6)))/(pow(PI, 2)*pow(x, 3)*pow(4.0*pow(PI, 2)*pow(z, 2)*pow(z - 2, 2)*pow(cos(4*PI*x*z), 2) + (1.0L/2.0L)*pow(2.0*PI*x*(z - 2)*cos(4*PI*x*z) - 0.0625*PI*(16*sin(4*PI*x)/(PI*pow(x, 2)) + 4*(8*pow(PI, 2)*pow(x, 2) + 1)*cos(4*PI*x)/(pow(PI, 2)*pow(x, 3)) + 4*(-4*PI*z*(PI*x*z - PI*x)*sin(4*PI*x*z) + PI*z*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - (-PI*z + PI)*cos(4*PI*x*z) + 4*(pow(PI, 2)*x*pow(z, 2) - 2*pow(PI, 2)*x*z)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 3)) - 3*(8*pow(PI, 2)*pow(x, 2) + 1)*sin(4*PI*x)/(pow(PI, 3)*pow(x, 4)) - 3*(4*(PI*x*z - PI*x)*cos(4*PI*x*z) + (8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*sin(4*PI*x*z))/(pow(PI, 3)*pow(x, 4))) + 0.5*sin(4*PI*x*z) + (2.0L/5.0L)*PI*cos(4*PI*x), 2) + pow(PI*x*(PI*x*z - PI*x)*sin(4*PI*x*z) - 0.25*PI*x*(8*pow(PI, 2)*pow(x, 2)*pow(z, 2) - 16*pow(PI, 2)*pow(x, 2)*z - 1)*cos(4*PI*x*z) - 0.25*PI*x*cos(4*PI*x*z) - (pow(PI, 2)*pow(x, 2)*z - pow(PI, 2)*pow(x, 2))*sin(4*PI*x*z), 2)/(pow(PI, 4)*pow(x, 6)), 4.0L/3.0L));
138  case 15:
139  z=y;
140  return 54000000000000*pow(PI, 2)*sin(30*PI*x) + 6000000000000*pow(PI, 2)*sin(10*PI*x + (1.0L/5.0L)*PI) - 10000000;
141  case 21:
142  z=y;
143  return x + (4.0L/3.0L)*pow(2, 1.0L/3.0L)*(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x))*(4*(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1))*(2*pow(x, 2)*z*(x - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(2*z - 1) + pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 2*x*z*pow(x - 1, 2)*(z - 1) + x*z*pow(x - 1, 2)*(2*z - 1) + x*pow(x - 1, 2)*(z - 1)*(2*z - 1)) + 4*(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x))*(2*pow(x, 3) - 3*pow(x, 2) + x + 6*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 6*z*(2*pow(x, 3) - 3*pow(x, 2) + x)) + (2*pow(x, 2)*z*pow(x - 1, 2) + 2*pow(x, 2)*pow(x - 1, 2)*(z - 1) + pow(x, 2)*pow(x - 1, 2)*(2*z - 1) - 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) + 3*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) - z*(6*pow(x, 2) - 6*x + 1))*(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1)))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 4.0L/3.0L) - 1.0L/3.0L*pow(2, 1.0L/3.0L)*(4*(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1))*(pow(x, 2)*z*(z - 1)*(2*z - 1) + 4*x*z*(x - 1)*(z - 1)*(2*z - 1) + z*pow(x - 1, 2)*(z - 1)*(2*z - 1)) + 4*(2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - 3*pow(z, 2)*(6*pow(x, 2) - 6*x + 1) + z*(6*pow(x, 2) - 6*x + 1))*(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x)) + (2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1))*(2*pow(x, 2)*z*(x - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(2*z - 1) + pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 2*x*z*pow(x - 1, 2)*(z - 1) + x*z*pow(x - 1, 2)*(2*z - 1) + x*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 3*pow(z, 4)*(2*x - 1) + 6*pow(z, 3)*(2*x - 1) - 3*pow(z, 2)*(2*x - 1)))*(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 4.0L/3.0L) - 0.5 - 2*pow(2, 1.0L/3.0L)*(2*pow(x, 3) - 3*pow(x, 2) + x + 6*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 6*z*(2*pow(x, 3) - 3*pow(x, 2) + x))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 1.0L/3.0L) + pow(2, 1.0L/3.0L)*(2*pow(x, 2)*z*(x - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(2*z - 1) + pow(x, 2)*(x - 1)*(z - 1)*(2*z - 1) + 2*x*z*pow(x - 1, 2)*(z - 1) + x*z*pow(x - 1, 2)*(2*z - 1) + x*pow(x - 1, 2)*(z - 1)*(2*z - 1) - 3*pow(z, 4)*(2*x - 1) + 6*pow(z, 3)*(2*x - 1) - 3*pow(z, 2)*(2*x - 1))/pow(4*pow(pow(x, 2)*z*(x - 1)*(z - 1)*(2*z - 1) + x*z*pow(x - 1, 2)*(z - 1)*(2*z - 1), 2) + 4*pow(2*pow(z, 3)*(2*pow(x, 3) - 3*pow(x, 2) + x) - 3*pow(z, 2)*(2*pow(x, 3) - 3*pow(x, 2) + x) + z*(2*pow(x, 3) - 3*pow(x, 2) + x), 2) + (1.0L/2.0L)*pow(2*pow(x, 2)*z*pow(x - 1, 2)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*z - 1) + pow(x, 2)*pow(x - 1, 2)*(z - 1)*(2*z - 1) - pow(z, 4)*(6*pow(x, 2) - 6*x + 1) + 2*pow(z, 3)*(6*pow(x, 2) - 6*x + 1) - pow(z, 2)*(6*pow(x, 2) - 6*x + 1), 2), 1.0L/3.0L);
144  case 22:
145  z=y;
146  return (2.0L/9.0L)*pow(2, 1.0L/3.0L)*(4*pow(z, 3)*(pow(x, 3) - 3*pow(x, 2) + 2*x) - 16*pow(z, 2)*(pow(x, 3) - 3*pow(x, 2) + 2*x) + 16*z*(pow(x, 3) - 3*pow(x, 2) + 2*x) + 1)*(48*pow(x, 8) - 384*pow(x, 7) + 1152*pow(x, 6) - 1536*pow(x, 5) + 768*pow(x, 4) - 96*pow(x, 3) + 288*pow(x, 2) - 192*x - 6*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + 56*pow(z, 6)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - pow(z, 5)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) + 20*pow(z, 4)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) - pow(z, 3)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) + 12*pow(z, 2)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) - 12*z*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 4.0L/3.0L) + 4*pow(2, 1.0L/3.0L)*(4*pow(x, 3) - 12*pow(x, 2) + 8*x + 3*pow(z, 2)*(pow(x, 3) - 3*pow(x, 2) + 2*x) - 8*z*(pow(x, 3) - 3*pow(x, 2) + 2*x))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 1.0L/3.0L) + (1.0L/27.0L)*pow(2, 1.0L/3.0L)*(6*pow(x, 2)*z*pow(x - 2, 2)*(z - 2) + 3*pow(x, 2)*pow(x - 2, 2)*pow(z - 2, 2) - 3*pow(z, 4)*(3*pow(x, 2) - 6*x + 2) + 16*pow(z, 3)*(3*pow(x, 2) - 6*x + 2) - 24*pow(z, 2)*(3*pow(x, 2) - 6*x + 2))*(96*pow(x, 7) - 672*pow(x, 6) + 1728*pow(x, 5) - 1920*pow(x, 4) + 768*pow(x, 3) + 9*pow(z, 8)*(3*pow(x, 3) - 9*pow(x, 2) + 8*x - 2) - 96*pow(z, 7)*(3*pow(x, 3) - 9*pow(x, 2) + 8*x - 2) + pow(z, 6)*(207*pow(x, 5) - 1035*pow(x, 4) + 3012*pow(x, 3) - 4896*pow(x, 2) + 3512*x - 800) - 24*pow(z, 5)*(69*pow(x, 5) - 345*pow(x, 4) + 700*pow(x, 3) - 720*pow(x, 2) + 360*x - 64) + 2*pow(z, 4)*(27*pow(x, 7) - 189*pow(x, 6) + 2988*pow(x, 5) - 13050*pow(x, 4) + 22976*pow(x, 3) - 18240*pow(x, 2) + 6064*x - 576) - 8*pow(z, 3)*(36*pow(x, 7) - 252*pow(x, 6) + 1512*pow(x, 5) - 5040*pow(x, 4) + 7840*pow(x, 3) - 5385*pow(x, 2) + 1298*x - 6) + 48*pow(z, 2)*(11*pow(x, 7) - 77*pow(x, 6) + 276*pow(x, 5) - 610*pow(x, 4) + 768*pow(x, 3) - 486*pow(x, 2) + 124*x - 4) - 96*z*(4*pow(x, 7) - 28*pow(x, 6) + 72*pow(x, 5) - 80*pow(x, 4) + 32*pow(x, 3) - 3*pow(x, 2) + 6*x - 2))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 4.0L/3.0L) - pow(2, 1.0L/3.0L)*(2*pow(x, 2)*z*(x - 2)*(z - 2) + pow(x, 2)*(x - 2)*pow(z - 2, 2) + 2*x*z*pow(x - 2, 2)*(z - 2) + x*pow(x - 2, 2)*pow(z - 2, 2) - 3*pow(z, 4)*(x - 1) + 16*pow(z, 3)*(x - 1) - 24*pow(z, 2)*(x - 1))/pow(8*pow(x, 8) - 64*pow(x, 7) + 192*pow(x, 6) - 256*pow(x, 5) + 128*pow(x, 4) + (1.0L/2.0L)*pow(z, 8)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) - 16.0L/3.0L*pow(z, 7)*(9*pow(x, 4) - 36*pow(x, 3) + 48*pow(x, 2) - 24*x + 4) + (1.0L/9.0L)*pow(z, 6)*(207*pow(x, 6) - 1242*pow(x, 5) + 4518*pow(x, 4) - 9792*pow(x, 3) + 10536*pow(x, 2) - 4800*x + 800) - 8.0L/3.0L*pow(z, 5)*(69*pow(x, 6) - 414*pow(x, 5) + 1050*pow(x, 4) - 1440*pow(x, 3) + 1080*pow(x, 2) - 384*x + 64) + (1.0L/6.0L)*pow(z, 4)*(27*pow(x, 8) - 216*pow(x, 7) + 3984*pow(x, 6) - 20880*pow(x, 5) + 45952*pow(x, 4) - 48640*pow(x, 3) + 24256*pow(x, 2) - 4608*x + 768) - 8.0L/3.0L*pow(z, 3)*(9*pow(x, 8) - 72*pow(x, 7) + 504*pow(x, 6) - 2016*pow(x, 5) + 3920*pow(x, 4) - 3590*pow(x, 3) + 1298*pow(x, 2) - 12*x) + 4*pow(z, 2)*(11*pow(x, 8) - 88*pow(x, 7) + 368*pow(x, 6) - 976*pow(x, 5) + 1536*pow(x, 4) - 1296*pow(x, 3) + 496*pow(x, 2) - 32*x) - 32*z*(pow(x, 8) - 8*pow(x, 7) + 24*pow(x, 6) - 32*pow(x, 5) + 16*pow(x, 4) - 2*pow(x, 3) + 6*pow(x, 2) - 4*x) + 2, 1.0L/3.0L) - 10;
147  case 24:
148  return -pow(2, 1.0L/3.0L)*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L) + (1.0L/3.0L)*pow(2, 1.0L/3.0L)*PI*p*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*sin(PI*p*y)*pow(sin(PI*p*z), 2)*cos(PI*p*y) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z)))*sin(PI*p*x)*sin(PI*p*y)*sin(PI*p*z)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) + PI*q*sin(PI*q*x)*sin(PI*q*z)*cos(PI*q*y) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(12*pow(PI, 3)*pow(p, 3)*sin(PI*p*x)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2)*cos(PI*p*x) - (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*sin(PI*p*z)*cos(PI*p*z) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(-2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) - 1.0L/2.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L) - 1.0L/2.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L);
149 
150  case 101:
151  return 12*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + 6*pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + 6*pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 8*x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) - 4*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) - 2*x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2) + 12*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + 6*x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 32*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + 6*x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 8*x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1) - 4*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - 2*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1);
152  case 103:
153  return 32*pow(PI, 2)*x*y*(x - 1)*(y - 1)*pow(sin(4*PI*z), 2) - 32*pow(PI, 2)*x*y*(x - 1)*(y - 1)*pow(cos(4*PI*z), 2) - 3*x*y*pow(sin(5*PI*z), 2) - 8*x*(x - 1)*pow(sin(4*PI*z), 2) - 3*x*(y - 1)*pow(sin(5*PI*z), 2) - 3*y*(x - 1)*pow(sin(5*PI*z), 2) - 2*y*(y - 1)*pow(sin(4*PI*z), 2) - 3*(x - 1)*(y - 1)*pow(sin(5*PI*z), 2);
154  case 201:
155  return -x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L) + x + (1.0L/18.0L)*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + (2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2) - 2*x*pow(y, 2)*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) - pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) + (2.0L/9.0L)*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + (pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) + 4*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) - y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - 2*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) + 4*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L) - 1.0L/18.0L*((x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2) + x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2) + 2*x*pow(y, 2)*(x - 1)*pow(y - 1, 2)*(z - 1) + x*pow(y, 2)*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 2*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) + x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) + 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) + x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 4*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1)))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - 1.0L/2.0L + (2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L);
156  case 202:
157  return -2*x*y*(x - 1)*(y - 1)/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) - 8*x*z*(x - 1)*(z - 1)/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) + (1.0L/9.0L)*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(10*x*y*(x - 1)*(y - 1)*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1)) + 8*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + x*y*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(y - 1) + x*y*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)) + (x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + 2*x*y*z*(y - 1) + x*y*(x - 1)*(z - 1) + 2*x*y*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1) + 2*y*(x - 1)*(y - 1)*(z - 1)) + 2*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(2*x*y*z*(x - 1) + x*y*z*(y - 1) + 2*x*y*(x - 1)*(z - 1) + x*y*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1) + 2*x*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) + (4.0L/9.0L)*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(16*x*z*(x - 1)*(z - 1)*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + x*y*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + 4*x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) + (1.0L/9.0L)*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(16*x*z*(x - 1)*(z - 1)*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(x - 1) + x*y*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1) + x*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 2*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + 4*x*z*(x - 1)*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) - (x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L) + (1.0L/18.0L)*(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(4*y*z*(y - 1)*(z - 1)*(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1)) + 5*(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(y - 1) + x*y*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1) + y*(x - 1)*(y - 1)*(z - 1)) + 8*(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + (x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + 4*y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)) + 4*(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1))*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1)))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 4.0L/3.0L) - 1.0L/2.0L*(x*y*z*(z - 1) + x*z*(y - 1)*(z - 1) + y*z*(x - 1)*(z - 1) + 4*y*z*(y - 1)*(z - 1) + z*(x - 1)*(y - 1)*(z - 1))/pow((5.0L/6.0L)*pow(x*y*z*(x - 1)*(y - 1) + x*y*(x - 1)*(y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*y*z*(x - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(x*y*z*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(x*y*z*(x - 1)*(z - 1) + 2*x*y*z*(y - 1)*(z - 1) + x*z*(x - 1)*(y - 1)*(z - 1) + 2*y*z*(x - 1)*(y - 1)*(z - 1), 2) + (1.0L/3.0L)*pow(2*x*y*z*(x - 1)*(z - 1) + x*y*z*(y - 1)*(z - 1) + 2*x*z*(x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(y - 1)*(z - 1), 2), 1.0L/3.0L);
158  case 211:
159  return (200.0L/235746178369.0L)*pow(17, 2.0L/3.0L)*pow(6, 1.0L/3.0L)*(-9*(169*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(2197*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)) + 13*(9*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 78*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(9*sqrt(13)*z*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 117*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 1014*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 2197*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)))/pow((8.0L/17.0L)*pow(fabs((15.0L/26.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/4394.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs(-45.0L/2197.0L*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (30.0L/169.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 5.0L/169.0L*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs((135.0L/4394.0L)*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 45.0L/169.0L*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/338.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + 1, 4.0L/3.0L);
160 
161  case 212:
162  return -8.0L/3.0L*x*(9*(y + 3*z)*(pow(y + 3*z, 2)/pow(fabs(y + 3*z), 3) - 1/fabs(y + 3*z))/fabs(y + 3*z) + 4*((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z))*(3*(2*x + 1)*pow(y + 3*z, 4)/pow(fabs(y + 3*z), 5) - 4*(2*x + 1)*pow(y + 3*z, 2)/pow(fabs(y + 3*z), 3) + (2*x + 1)/fabs(y + 3*z)))/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 4.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 1.0L/3.0L)*(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11)) - 26.0L/3.0L*(9*(y + 3*z)*(pow(y + 3*z, 2)/pow(fabs(y + 3*z), 3) - 1/fabs(y + 3*z))/fabs(y + 3*z) + 4*((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z))*(3*(2*x + 1)*pow(y + 3*z, 4)/pow(fabs(y + 3*z), 5) - 4*(2*x + 1)*pow(y + 3*z, 2)/pow(fabs(y + 3*z), 3) + (2*x + 1)/fabs(y + 3*z)))/(pow(2*(4*pow(fabs((2*x + 1)*pow(y + 3*z, 3)/pow(fabs(y + 3*z), 3) - (2*x + 1)*(y + 3*z)/fabs(y + 3*z)), 2) + 9)/(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11) + 1, 4.0L/3.0L)*pow((4.0L/3.0L)*pow(x, 2) + (1.0L/3.0L)*pow(2*x + 1, 2) + 11.0L/6.0L, 1.0L/3.0L)*(8*pow(x, 2) + 2*pow(2*x + 1, 2) + 11));
163 
164  default:
165  _error_("FS analytical solution"<<testid<<" not implemented yet");
166  }
167 }
168 /*}}}*/
169 IssmDouble fz(IssmDouble x,IssmDouble y,IssmDouble z,int testid){ /*{{{*/
170  IssmDouble p = 2.0;
171  IssmDouble q = 2.0;
172  IssmDouble a = 1.0;
173 
174  switch(testid){
175  case 1: case 2: case 7: case 8: case 11: case 12: case 13: case 14: case 15: case 18: case 21: case 22:
176  return 0.;
177  case 3:
178  return 2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + 2*pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) - 2*x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) - 2*x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + 2*x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1);
179  case 4:
180  return -2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*z) - 1)*sin(PI*p*x)*sin(PI*p*y) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z) + PI*q*sin(PI*q*x)*sin(PI*q*y)*cos(PI*q*z);
181  case 5:
182  return 2*PI*PI*p*p*sin(PI*p*x)*sin(PI*p*y);
183  case 6:
184  return - 2. * PI*PI * p*p * (cos(p*PI*z)-1) * sin(p*PI*x) * sin(p*PI*y)-PI*PI * p*p * sin(p*PI*x) * sin(p*PI*y) * cos(p*PI*z)+ q * PI * sin(q*PI*x) * sin(q*PI*y) * cos(q*PI*z);
185  case 9:
186  return -2*pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z) + pow(x, 2) + pow(y, 2);
187  case 10:
188  return a*pow(z, a - 1)*(sin(PI*q*x)*sin(PI*q*y) + 1) - 2*pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z);
189  case 24:
190  return -pow(2, 1.0L/3.0L)*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L) + (1.0L/3.0L)*pow(2, 1.0L/3.0L)*PI*p*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*sin(PI*p*z)*cos(PI*p*z) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(-2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)))*sin(PI*p*x)*sin(PI*p*y)*sin(PI*p*z)/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) + PI*q*sin(PI*q*x)*sin(PI*q*y)*cos(PI*q*z) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(12*pow(PI, 3)*pow(p, 3)*pow(sin(PI*p*x), 2)*sin(PI*p*y)*pow(sin(PI*p*z), 2)*cos(PI*p*y) + (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*sin(PI*p*y)*sin(PI*p*z) - pow(PI, 2)*pow(p, 2)*sin(PI*p*y)*sin(PI*p*z)*cos(PI*p*x)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*(cos(PI*p*x) - 1)*cos(PI*p*y)*cos(PI*p*z)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) - 1.0L/6.0L*pow(2, 1.0L/3.0L)*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(12*pow(PI, 3)*pow(p, 3)*sin(PI*p*x)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2)*cos(PI*p*x) - (-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x))*(pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*sin(PI*p*x)*sin(PI*p*z) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*z)*cos(PI*p*y)) + (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*cos(PI*p*x)*cos(PI*p*y) + pow(PI, 2)*pow(p, 2)*(cos(PI*p*y) - 1)*cos(PI*p*x)*cos(PI*p*z)) - (pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z))*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z)))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 4.0L/3.0L) - 1.0L/2.0L*pow(2, 1.0L/3.0L)*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) - 2*pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L) - 1.0L/2.0L*pow(2, 1.0L/3.0L)*(pow(PI, 3)*pow(p, 3)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*sin(PI*p*y) + pow(PI, 2)*pow(p, 2)*sin(PI*p*x)*sin(PI*p*y)*cos(PI*p*z))/pow(6*pow(PI, 2)*pow(p, 2)*pow(sin(PI*p*x), 2)*pow(sin(PI*p*y), 2)*pow(sin(PI*p*z), 2) + (1.0L/2.0L)*pow(-2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*z)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*z)*cos(PI*p*x), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*x)*cos(PI*p*y) + PI*p*(cos(PI*p*y) - 1)*sin(PI*p*x)*cos(PI*p*z), 2) + (1.0L/2.0L)*pow(pow(PI, 2)*pow(p, 2)*(cos(PI*p*z)/(PI*p) - 1/(PI*p))*sin(PI*p*y)*cos(PI*p*x) - 2*PI*p*(cos(PI*p*x) - 1)*sin(PI*p*y)*cos(PI*p*z), 2), 1.0L/3.0L);
191  case 201:
192  return (1.0L/18.0L)*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + (pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1) + 2*pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(z - 1) + 4*x*y*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(z - 1) + 2*pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) - 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) - y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - 1.0L/18.0L*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*((x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2) + x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2) + 2*x*pow(y, 2)*(x - 1)*pow(y - 1, 2)*(z - 1) + x*pow(y, 2)*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 2*(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 8*(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*x*pow(y, 2)*z*(x - 1)*(y - 1)*(z - 1) + x*pow(y, 2)*z*(2*x - 1)*(y - 1)*(z - 1) + 2*x*y*z*(x - 1)*pow(y - 1, 2)*(z - 1) + x*y*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) + pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1)) + 8*(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))*(pow(x, 2)*y*z*(y - 1)*(2*y - 1)*(z - 1) + 4*x*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1)) + 2*(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))*(2*pow(x, 2)*y*z*(x - 1)*(y - 1)*(z - 1) + pow(x, 2)*y*z*(x - 1)*(2*y - 1)*(z - 1) + pow(x, 2)*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*pow(y - 1, 2)*(z - 1) + 2*x*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + x*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1)))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 4.0L/3.0L) - (x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1) + x*pow(y, 2)*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*y*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L) + (pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1) + pow(x, 2)*y*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + x*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1))/pow((1.0L/6.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2) + x*pow(y, 2)*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (1.0L/6.0L)*pow(pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1) + pow(x, 2)*y*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (4.0L/3.0L)*pow(x*pow(y, 2)*z*(x - 1)*(2*x - 1)*(y - 1)*(z - 1) + x*y*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2) + (4.0L/3.0L)*pow(pow(x, 2)*y*z*(x - 1)*(y - 1)*(2*y - 1)*(z - 1) + x*y*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1), 2) + (1.0L/6.0L)*pow(2*pow(x, 2)*y*z*pow(x - 1, 2)*(y - 1)*(z - 1) + pow(x, 2)*y*z*pow(x - 1, 2)*(2*y - 1)*(z - 1) + pow(x, 2)*z*pow(x - 1, 2)*(y - 1)*(2*y - 1)*(z - 1) - 2*x*pow(y, 2)*z*(x - 1)*pow(y - 1, 2)*(z - 1) - x*pow(y, 2)*z*(2*x - 1)*pow(y - 1, 2)*(z - 1) - pow(y, 2)*z*(x - 1)*(2*x - 1)*pow(y - 1, 2)*(z - 1), 2), 1.0L/3.0L);
193  case 211:
194  return (200.0L/235746178369.0L)*pow(17, 2.0L/3.0L)*pow(6, 1.0L/3.0L)*(-9*(169*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(2197*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)) + 13*(9*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 78*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(9*sqrt(13)*z*(-2197*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 26*z*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + sqrt(13)*z*(-78*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 117*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 1014*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 2197*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 13*sqrt(13)*pow(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y), 2)/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L)))/pow((8.0L/17.0L)*pow(fabs((15.0L/26.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/4394.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs(-45.0L/2197.0L*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (30.0L/169.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 5.0L/169.0L*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs((135.0L/4394.0L)*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 45.0L/169.0L*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/338.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + 1, 4.0L/3.0L) + (100.0L/235746178369.0L)*pow(17, 2.0L/3.0L)*pow(6, 1.0L/3.0L)*(3*(169*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(507*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 3*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + 3*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 6591*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 3*sqrt(13)*z*(6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 169*sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 507*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 28561*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))) + 13*(9*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 78*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))*(9*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 78*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 3*sqrt(13)*z*(-6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 2) + 3*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) + 6591*z/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 3*sqrt(13)*z*(6*sqrt(13)*z*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - (507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 169*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 169*sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 169*sqrt(13)*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 13*(507*z + sqrt(13)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y)))*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/pow(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2), 3.0L/2.0L) - 507*sqrt(13)*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + 2197*sqrt(13)/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))))/pow((8.0L/17.0L)*pow(fabs((15.0L/26.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/4394.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs(-45.0L/2197.0L*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (30.0L/169.0L)*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 5.0L/169.0L*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + (8.0L/17.0L)*pow(fabs((135.0L/4394.0L)*sqrt(13)*z*(-sqrt(13)*z*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + sqrt(13)*z*(6*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - (3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) - 45.0L/169.0L*sqrt(13)*z/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2)) + (15.0L/338.0L)*(3*sqrt(13)*z + 2*sqrt(13)*(2*x + y))/sqrt(9*pow(z, 2) + pow(fabs((3.0L/13.0L)*sqrt(13)*z + (2.0L/13.0L)*sqrt(13)*(2*x + y)), 2))), 2) + 1, 4.0L/3.0L);
195 
196  default:
197  _error_("FS analytical solution"<<testid<<" not implemented yet");
198  }
199 }
200 /*}}}*/
201 IssmDouble alpha(IssmDouble x,IssmDouble y,IssmDouble z,int testid){ /*{{{*/
202  IssmDouble p = 2.0;
203  IssmDouble q = 2.0;
204 
205  switch(testid){
206  case 1: case 2: case 3: case 4: case 5: case 6: case 7: case 8: case 9: case 10: case 11: case 12: case 13: case 14: case 21: case 22:
207  return 0.;
208  case 15:
209  return 1.e+5;
210  case 18:
211  return (120.0L/109.0L)*sqrt(109.)/(10*x - 3*z);
212  default:
213  _error_("FS analytical solution"<<testid<<" not implemented yet");
214  }
215 }
216 /*}}}*/
217 #else
218 IssmDouble fx(IssmDouble x,IssmDouble y,IssmDouble z,int testid){_error_("recompile with GOCOMPILE defined in this file (uncomment line 23)");}
219 IssmDouble fy(IssmDouble x,IssmDouble y,IssmDouble z,int testid){_error_("recompile with GOCOMPILE defined in this file (uncomment line 23)");}
220 IssmDouble fz(IssmDouble x,IssmDouble y,IssmDouble z,int testid){_error_("recompile with GOCOMPILE defined in this file (uncomment line 23)");}
221 IssmDouble alpha(IssmDouble x,IssmDouble y,IssmDouble z,int testid){_error_("recompile with GOCOMPILE defined in this file (uncomment line 23)");}
222 #endif
IssmDouble
double IssmDouble
Definition: types.h:37
fsanalyticals.h
fx
IssmDouble fx(IssmDouble x, IssmDouble y, IssmDouble z, int testid)
Definition: fsanalyticals.cpp:218
alpha
IssmDouble alpha(IssmDouble x, IssmDouble y, IssmDouble z, int testid)
Definition: fsanalyticals.cpp:221
fz
IssmDouble fz(IssmDouble x, IssmDouble y, IssmDouble z, int testid)
Definition: fsanalyticals.cpp:220
PI
const double PI
Definition: constants.h:11
fy
IssmDouble fy(IssmDouble x, IssmDouble y, IssmDouble z, int testid)
Definition: fsanalyticals.cpp:219
_error_
#define _error_(StreamArgs)
Definition: exceptions.h:49
M_PI
#define M_PI
Definition: GridInsideHole.cpp:12
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