xref: /petsc/src/snes/tutorials/ex69.c (revision 0338c94495b54376573e2dd674640a2b674ea157)

static char help[] = "The variable-viscosity Stokes Problem in 2d with finite elements.\n\
We solve the Stokes problem in a square domain\n\
and compare against exact solutions from Mirko Velic.\n\n\n";

/* We discretize the variable-viscosity Stokes problem using the finite element method on an unstructured mesh. The weak form equations are
\begin{align*}
  (\nabla v, \mu (\nabla u + {\nabla u}^T)) - (\nabla\cdot v, p) + (v, f) &= 0 \\
  (q, \nabla\cdot u)                                                      &= 0
\end{align*}
Free slip conditions for velocity are enforced on every wall. The pressure is constrained to have zero integral over the domain.

To produce nice output, use

  -dm_refine 3 -show_error -dm_view hdf5:sol1.h5 -error_vec_view hdf5:sol1.h5::append -sol_vec_view hdf5:sol1.h5::append -exact_vec_view hdf5:sol1.h5::append
*/

#include <petscdmplex.h>
#include <petscsnes.h>
#include <petscds.h>
#include <petscbag.h>

typedef enum {
  SOLKX,
  SOLCX,
  NUM_SOL_TYPES
} SolutionType;
const char *solTypes[NUM_SOL_TYPES + 1] = {"solkx", "solcx", "unknown"};

typedef struct {
  PetscInt n, m; /* x- and y-wavelengths for variation across the domain */
  /* SolKx */
  PetscReal B; /* Exponential scale for viscosity variation */
  /* SolCx */
  PetscReal etaA, etaB; /* Two viscosities for discontinuous change */
  PetscReal xc;         /* The location of viscosity jump */
} Parameter;

typedef struct {
  SolutionType solType; /* The type of exact solution */
  PetscBag     bag;     /* Holds problem parameters */
} AppCtx;

static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
{
  PetscInt c;
  for (c = 0; c < Nc; ++c) u[c] = 0.0;
  return PETSC_SUCCESS;
}
static PetscErrorCode one(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
{
  PetscInt c;
  for (c = 0; c < Nc; ++c) u[c] = 1.0;
  return PETSC_SUCCESS;
}

static void f0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
{
  f0[0] = 0.0;
  f0[1] = -PetscSinScalar(constants[1] * PETSC_PI * x[1]) * PetscCosScalar(constants[0] * PETSC_PI * x[0]);
}

static void stokes_momentum_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
{
  const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
  PetscInt        c, d;

  for (c = 0; c < dim; ++c) {
    for (d = 0; d < dim; ++d) f1[c * dim + d] = mu * (u_x[c * dim + d] + u_x[d * dim + c]);
    f1[c * dim + c] -= u[dim];
  }
}

static void stokes_momentum_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
{
  const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
  PetscInt        c, d;

  for (c = 0; c < dim; ++c) {
    for (d = 0; d < dim; ++d) f1[c * dim + d] = mu * (u_x[c * dim + d] + u_x[d * dim + c]);
    f1[c * dim + c] -= u[dim];
  }
}

static void stokes_mass(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
{
  PetscInt d;
  f0[0] = 0.0;
  for (d = 0; d < dim; ++d) f0[0] -= u_x[d * dim + d];
}

static void f1_zero(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
{
  PetscInt d;
  for (d = 0; d < dim * dim; ++d) f1[d] = 0.0;
}

/* < q, \nabla\cdot u >, J_{pu} */
static void stokes_mass_J(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g1[])
{
  PetscInt d;
  for (d = 0; d < dim; ++d) g1[d * dim + d] = -1.0; /* \frac{\partial\phi^{u_d}}{\partial x_d} */
}

/* -< \nabla\cdot v, p >, J_{up} */
static void stokes_momentum_pres_J(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g2[])
{
  PetscInt d;
  for (d = 0; d < dim; ++d) g2[d * dim + d] = -1.0; /* \frac{\partial\psi^{u_d}}{\partial x_d} */
}

/* < \nabla v, \nabla u + {\nabla u}^T >, J_{uu}
   This just gives \nabla u, give the perdiagonal for the transpose */
static void stokes_momentum_vel_J_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
{
  const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
  PetscInt        cI, d;

  for (cI = 0; cI < dim; ++cI) {
    for (d = 0; d < dim; ++d) {
      g3[((cI * dim + cI) * dim + d) * dim + d] += mu; /*g3[cI, cI, d, d]*/
      g3[((cI * dim + d) * dim + d) * dim + cI] += mu; /*g3[cI, d, d, cI]*/
    }
  }
}
static void stokes_momentum_vel_J_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
{
  const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
  PetscInt        cI, d;

  for (cI = 0; cI < dim; ++cI) {
    for (d = 0; d < dim; ++d) {
      g3[((cI * dim + cI) * dim + d) * dim + d] += mu; /*g3[cI, cI, d, d]*/
      g3[((cI * dim + d) * dim + d) * dim + cI] += mu; /*g3[cI, d, d, cI]*/
    }
  }
}

/* 1/mu < q, I q >, Jp_{pp} */
static void stokes_identity_J_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
{
  const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
  g0[0]              = 1.0 / mu;
}

static void stokes_identity_J_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
{
  const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
  g0[0]              = 1.0 / mu;
}

/*
  SolKxSolution - Exact Stokes solutions for exponentially varying viscosity

 Input Parameters:
+ pos   - The (x,z) coordinate at which to evaluate the solution
. n     - The constant defining the x-dependence of the forcing function
. m     - The constant defining the z-dependence of the forcing function
- B     - The viscosity coefficient

  Output Parameters:
+ vel   - The (x,z)-velocity at (x,z), or NULL
. p     - The pressure at (x,z), or NULL
. s     - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
. gamma - The strain rate, or NULL
- mu    - The viscosity at (x,z), or NULL

  Note:
.vb
  The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
  conditions everywhere. The forcing term f is given by

    fx = 0
    fz = sigma*sin(km*z)*cos(kn*x)

  where

    km = m*Pi (m may be non-integral)
    kn = n*Pi

  meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
  The viscosity eta is exp(2*B*x).
.ve

*/
static PetscErrorCode SolKxSolution(const PetscReal pos[], PetscReal m, PetscInt n, PetscReal B, PetscScalar vel[], PetscScalar *p, PetscScalar s[], PetscScalar gamma[], PetscScalar *mu)
{
  PetscReal sigma = 1.0;
  PetscReal Z;
  PetscReal u1, u2, u3, u4, u5, u6;
  PetscReal sum1, sum2, sum3, sum4, sum5, sum6;
  PetscReal kn, km, x, z;
  PetscReal _PC1, _PC2, _PC3, _PC4;
  PetscReal Rp, UU, VV;
  PetscReal a, b, r, _aa, _bb, AA, BB, Rm;
  PetscReal num1, num2, num3, num4, den1;

  PetscReal t1, t2, t3, t4, t5, t6, t7, t8, t9, t10;
  PetscReal t11, t12, t13, t14, t15, t16, t17, t18, t19, t20;
  PetscReal t21, t22, t23, t24, t25, t26, t27, t28, t29, t30;
  PetscReal t31, t32, t33, t34, t35, t36, t37, t38, t39, t40;
  PetscReal t41, t42, t43, t44, t45, t46, t47, t49, t51, t53;
  PetscReal t56, t58, t61, t62, t63, t64, t65, t66, t67, t68;
  PetscReal t69, t70, t71, t72, t73, t74, t75, t76, t77, t78;
  PetscReal t79, t80, t81, t82, t83, t84, t85, t86, t87, t88;
  PetscReal t89, t90, t91, t92, t93, t94, t95, t96, t97, t99;
  PetscReal t100, t101, t103, t104, t105, t106, t107, t108, t109, t110;
  PetscReal t111, t112, t113, t114, t115, t116, t117, t118, t119, t120;
  PetscReal t121, t124, t125, t126, t127, t129, t130, t132, t133, t135;
  PetscReal t136, t138, t140, t141, t142, t143, t152, t160, t162;

  PetscFunctionBegin;
  /*************************************************************************/
  /*************************************************************************/
  /* rho = -sin(km*z)*cos(kn*x) */
  x  = pos[0];
  z  = pos[1];
  Z  = PetscExpReal(2.0 * B * x);
  km = m * PETSC_PI; /* solution valid for km not zero -- should get trivial solution if km=0 */
  kn = (PetscReal)n * PETSC_PI;
  /*************************************************************************/
  /*************************************************************************/
  a  = B * B + km * km;
  b  = 2.0 * km * B;
  r  = PetscSqrtReal(a * a + b * b);
  Rp = PetscSqrtReal((r + a) / 2.0);
  Rm = PetscSqrtReal((r - a) / 2.0);
  UU = Rp - B;
  VV = Rp + B;

  sum1 = 0.0;
  sum2 = 0.0;
  sum3 = 0.0;
  sum4 = 0.0;
  sum5 = 0.0;
  sum6 = 0.0;
  /*sum7=0.0;*/

  /*******************************************/
  /*         calculate the constants         */
  /*******************************************/

  t1  = kn * kn;
  t4  = km * km;
  t5  = t4 + t1;
  t6  = t5 * t5;
  t8  = pow(km + kn, 0.2e1);
  t9  = B * B;
  t16 = pow(km - kn, 0.2e1);
  _aa = -0.4e1 * B * t1 * sigma * t5 / (t6 + 0.4e1 * t8 * t9) / (t6 + 0.4e1 * t16 * t9);

  t2  = km * km;
  t3  = kn * kn;
  t5  = pow(t2 + t3, 0.2e1);
  t6  = km - kn;
  t7  = km + kn;
  t9  = B * B;
  t13 = t7 * t7;
  t19 = t6 * t6;
  _bb = sigma * kn * (t5 + 0.4e1 * t6 * t7 * t9) / (t5 + 0.4e1 * t13 * t9) / (t5 + 0.4e1 * t19 * t9);

  AA = _aa;
  BB = _bb;

  /*******************************************/
  /*       calculate the velocities etc      */
  /*******************************************/
  t1   = Rm * Rm;
  t2   = B - Rp;
  t4   = Rp + B;
  t6   = UU * x;
  t9   = PetscExpReal(t6 - 0.4e1 * Rp);
  t13  = B * B;
  t16  = Rp * t1;
  t18  = Rp * Rp;
  t19  = B * t18;
  t20  = t13 * Rp;
  t22  = kn * kn;
  t24  = B * t1;
  t32  = 0.8e1 * t13 * BB * kn * Rp;
  t34  = 0.2e1 * Rm;
  t35  = PetscCosReal(t34);
  t37  = Rp * Rm;
  t49  = PetscSinReal(t34);
  t63  = PetscExpReal(t6 - 0.2e1 * Rp);
  t65  = Rm * t2;
  t67  = 0.2e1 * B * kn;
  t68  = B * Rm;
  t69  = t67 + t68 + t37;
  t73  = 0.3e1 * t13;
  t75  = 0.2e1 * B * Rp;
  t76  = t73 - t75 + t1 - t22 - t18;
  t78  = t65 * t76 * BB;
  t80  = Rm - kn;
  t81  = PetscCosReal(t80);
  t83  = -t67 + t68 + t37;
  t88  = Rm + kn;
  t89  = PetscCosReal(t88);
  t92  = t65 * t76 * AA;
  t97  = PetscSinReal(t80);
  t103 = PetscSinReal(t88);
  t108 = PetscExpReal(t6 - 0.3e1 * Rp - B);
  t110 = Rm * t4;
  t111 = t67 + t68 - t37;
  t115 = t73 + t75 + t1 - t22 - t18;
  t117 = t110 * t115 * BB;
  t120 = -t67 + t68 - t37;
  t127 = t110 * t115 * AA;
  t140 = PetscExpReal(t6 - Rp - B);
  num1 = -0.4e1 * t1 * t2 * t4 * AA * t9 + ((0.2e1 * Rp * (0.3e1 * t13 * B - 0.2e1 * t16 - t19 - 0.2e1 * t20 - B * t22 - t24) * AA - t32) * t35 + (0.2e1 * t37 * (t1 + 0.5e1 * t13 - t22 - t18) * AA - 0.8e1 * B * BB * kn * Rm * Rp) * t49 - 0.2e1 * B * (0.3e1 * t20 - Rp * t22 - t18 * Rp - 0.2e1 * t19 - t16 - 0.2e1 * t24) * AA + t32) * t63 + ((0.2e1 * t65 * t69 * AA + t78) * t81 + (0.2e1 * t65 * t83 * AA - t78) * t89 + (t92 - 0.2e1 * t65 * t69 * BB) * t97 + (t92 + 0.2e1 * t65 * t83 * BB) * t103) * t108 + ((-0.2e1 * t110 * t111 * AA - t117) * t81 + (-0.2e1 * t110 * t120 * AA + t117) * t89 + (-t127 + 0.2e1 * t110 * t111 * BB) * t97 + (-t127 - 0.2e1 * t110 * t120 * BB) * t103) * t140;

  t1   = Rp + B;
  t2   = Rm * t1;
  t3   = B * B;
  t4   = 0.3e1 * t3;
  t5   = B * Rp;
  t7   = Rm * Rm;
  t8   = kn * kn;
  t9   = Rp * Rp;
  t10  = t4 + 0.2e1 * t5 + t7 - t8 - t9;
  t12  = t2 * t10 * AA;
  t14  = B * Rm;
  t20  = UU * x;
  t23  = PetscExpReal(t20 - 0.4e1 * Rp);
  t25  = Rp * Rm;
  t32  = Rm * kn;
  t37  = 0.2e1 * Rm;
  t38  = PetscCosReal(t37);
  t40  = t3 * B;
  t44  = B * t9;
  t45  = t3 * Rp;
  t53  = t3 * BB;
  t58  = PetscSinReal(t37);
  t69  = PetscExpReal(t20 - 0.2e1 * Rp);
  t72  = 0.3e1 * t40 * Rm;
  t73  = t9 * Rp;
  t74  = t73 * Rm;
  t75  = t7 * Rm;
  t76  = B * t75;
  t77  = t14 * t8;
  t78  = Rp * t75;
  t80  = 0.8e1 * t45 * kn;
  t81  = t25 * t8;
  t83  = 0.5e1 * t45 * Rm;
  t84  = t44 * Rm;
  t85  = t72 - t74 + t76 - t77 + t78 + t80 - t81 + t83 + t84;
  t88  = 0.2e1 * t9 * t3;
  t90  = 0.3e1 * t40 * Rp;
  t91  = t7 * t3;
  t93  = 0.2e1 * t5 * t32;
  t94  = t5 * t7;
  t95  = t5 * t8;
  t96  = B * t73;
  t97  = t7 * t9;
  t100 = 0.2e1 * t3 * Rm * kn;
  t101 = -t88 + t90 - t91 - t93 - t94 - t95 - t96 - t97 - t100;
  t105 = Rm - kn;
  t106 = PetscCosReal(t105);
  t108 = t72 - t80 + t83 + t76 + t84 - t81 - t74 + t78 - t77;
  t110 = -t97 - t96 - t88 + t100 + t90 - t95 + t93 - t91 - t94;
  t114 = Rm + kn;
  t115 = PetscCosReal(t114);
  t121 = PetscSinReal(t105);
  t127 = PetscSinReal(t114);
  t132 = PetscExpReal(t20 - 0.3e1 * Rp - B);
  t135 = 0.2e1 * B * kn;
  t136 = t135 + t14 - t25;
  t142 = -t135 + t14 - t25;
  t152 = t2 * t10 * BB;
  t162 = PetscExpReal(t20 - Rp - B);
  num2 = (0.2e1 * t12 - 0.8e1 * t14 * kn * t1 * BB) * t23 + ((-0.2e1 * t25 * (t7 + 0.5e1 * t3 - t8 - t9) * AA + 0.8e1 * B * BB * t32 * Rp) * t38 + (0.2e1 * Rp * (0.3e1 * t40 - 0.2e1 * Rp * t7 - t44 - 0.2e1 * t45 - B * t8 - B * t7) * AA - 0.8e1 * t53 * kn * Rp) * t58 - 0.2e1 * t14 * (-t8 + t9 + t4 + t7) * AA + 0.8e1 * t53 * t32) * t69 + ((-t85 * AA - 0.2e1 * t101 * BB) * t106 + (-t108 * AA + 0.2e1 * t110 * BB) * t115 + (-0.2e1 * t101 * AA + t85 * BB) * t121 + (-0.2e1 * t110 * AA - t108 * BB) * t127) * t132 + ((t12 - 0.2e1 * t2 * t136 * BB) * t106 + (t12 + 0.2e1 * t2 * t142 * BB) * t115 + (-0.2e1 * t2 * t136 * AA - t152) * t121 + (-0.2e1 * t2 * t142 * AA + t152) * t127) * t162;

  t1   = Rm * Rm;
  t2   = B - Rp;
  t4   = Rp + B;
  t6   = VV * x;
  t7   = PetscExpReal(-t6);
  t11  = kn * kn;
  t13  = B * t1;
  t14  = Rp * Rp;
  t15  = B * t14;
  t16  = B * B;
  t17  = t16 * Rp;
  t21  = Rp * t1;
  t30  = 0.8e1 * t16 * BB * kn * Rp;
  t32  = 0.2e1 * Rm;
  t33  = PetscCosReal(t32);
  t35  = Rp * Rm;
  t47  = PetscSinReal(t32);
  t61  = PetscExpReal(-t6 - 0.2e1 * Rp);
  t63  = Rm * t2;
  t65  = 0.2e1 * B * kn;
  t66  = B * Rm;
  t67  = t65 + t66 + t35;
  t71  = 0.3e1 * t16;
  t73  = 0.2e1 * B * Rp;
  t74  = t71 - t73 + t1 - t11 - t14;
  t76  = t63 * t74 * BB;
  t78  = Rm - kn;
  t79  = PetscCosReal(t78);
  t81  = -t65 + t66 + t35;
  t86  = Rm + kn;
  t87  = PetscCosReal(t86);
  t90  = t63 * t74 * AA;
  t95  = PetscSinReal(t78);
  t101 = PetscSinReal(t86);
  t106 = PetscExpReal(-t6 - 0.3e1 * Rp - B);
  t108 = Rm * t4;
  t109 = t65 + t66 - t35;
  t113 = t71 + t73 + t1 - t11 - t14;
  t115 = t108 * t113 * BB;
  t118 = -t65 + t66 - t35;
  t125 = t108 * t113 * AA;
  t138 = PetscExpReal(-t6 - Rp - B);
  num3 = -0.4e1 * t1 * t2 * t4 * AA * t7 + ((-0.2e1 * Rp * (-B * t11 - t13 - t15 + 0.2e1 * t17 + 0.3e1 * t16 * B + 0.2e1 * t21) * AA + t30) * t33 + (-0.2e1 * t35 * (t1 + 0.5e1 * t16 - t11 - t14) * AA + 0.8e1 * B * BB * kn * Rm * Rp) * t47 + 0.2e1 * B * (0.3e1 * t17 - t21 + 0.2e1 * t15 + 0.2e1 * t13 - Rp * t11 - t14 * Rp) * AA - t30) * t61 + ((-0.2e1 * t63 * t67 * AA - t76) * t79 + (-0.2e1 * t63 * t81 * AA + t76) * t87 + (-t90 + 0.2e1 * t63 * t67 * BB) * t95 + (-t90 - 0.2e1 * t63 * t81 * BB) * t101) * t106 + ((0.2e1 * t108 * t109 * AA + t115) * t79 + (0.2e1 * t108 * t118 * AA - t115) * t87 + (t125 - 0.2e1 * t108 * t109 * BB) * t95 + (t125 + 0.2e1 * t108 * t118 * BB) * t101) * t138;

  t1   = B - Rp;
  t2   = Rm * t1;
  t3   = B * B;
  t4   = 0.3e1 * t3;
  t5   = B * Rp;
  t7   = Rm * Rm;
  t8   = kn * kn;
  t9   = Rp * Rp;
  t10  = t4 - 0.2e1 * t5 + t7 - t8 - t9;
  t12  = t2 * t10 * AA;
  t14  = B * Rm;
  t20  = VV * x;
  t21  = PetscExpReal(-t20);
  t23  = Rp * Rm;
  t30  = Rm * kn;
  t35  = 0.2e1 * Rm;
  t36  = PetscCosReal(t35);
  t40  = B * t9;
  t41  = t3 * Rp;
  t43  = t3 * B;
  t51  = t3 * BB;
  t56  = PetscSinReal(t35);
  t67  = PetscExpReal(-t20 - 0.2e1 * Rp);
  t70  = 0.2e1 * B * kn;
  t71  = t70 + t14 + t23;
  t76  = Rm - kn;
  t77  = PetscCosReal(t76);
  t79  = -t70 + t14 + t23;
  t84  = Rm + kn;
  t85  = PetscCosReal(t84);
  t91  = t2 * t10 * BB;
  t93  = PetscSinReal(t76);
  t99  = PetscSinReal(t84);
  t104 = PetscExpReal(-t20 - 0.3e1 * Rp - B);
  t107 = 0.3e1 * t43 * Rm;
  t108 = t9 * Rp;
  t109 = t108 * Rm;
  t110 = t7 * Rm;
  t111 = B * t110;
  t112 = t14 * t8;
  t113 = Rp * t110;
  t115 = 0.8e1 * t41 * kn;
  t116 = t23 * t8;
  t118 = 0.5e1 * t41 * Rm;
  t119 = t40 * Rm;
  t120 = t107 + t109 + t111 - t112 - t113 - t115 + t116 - t118 + t119;
  t124 = 0.2e1 * t3 * Rm * kn;
  t125 = t5 * t8;
  t126 = B * t108;
  t127 = t7 * t9;
  t129 = 0.2e1 * t9 * t3;
  t130 = t5 * t7;
  t132 = 0.3e1 * t43 * Rp;
  t133 = t7 * t3;
  t135 = 0.2e1 * t5 * t30;
  t136 = t124 - t125 - t126 + t127 + t129 - t130 + t132 + t133 - t135;
  t141 = t107 + t115 - t118 + t111 + t119 + t116 + t109 - t113 - t112;
  t143 = t132 + t129 - t125 + t133 + t127 - t124 - t130 - t126 + t135;
  t160 = PetscExpReal(-t20 - Rp - B);
  num4 = (0.2e1 * t12 - 0.8e1 * t14 * kn * t1 * BB) * t21 + ((0.2e1 * t23 * (t7 + 0.5e1 * t3 - t8 - t9) * AA - 0.8e1 * B * BB * t30 * Rp) * t36 + (-0.2e1 * Rp * (-B * t8 - B * t7 - t40 + 0.2e1 * t41 + 0.3e1 * t43 + 0.2e1 * Rp * t7) * AA + 0.8e1 * t51 * kn * Rp) * t56 - 0.2e1 * t14 * (-t8 + t9 + t4 + t7) * AA + 0.8e1 * t51 * t30) * t67 + ((t12 - 0.2e1 * t2 * t71 * BB) * t77 + (t12 + 0.2e1 * t2 * t79 * BB) * t85 + (-0.2e1 * t2 * t71 * AA - t91) * t93 + (-0.2e1 * t2 * t79 * AA + t91) * t99) * t104 + ((-t120 * AA + 0.2e1 * t136 * BB) * t77 + (-t141 * AA - 0.2e1 * t143 * BB) * t85 + (0.2e1 * t136 * AA + t120 * BB) * t93 + (0.2e1 * t143 * AA - t141 * BB) * t99) * t160;

  t1   = Rm * Rm;
  t2   = Rp * Rp;
  t3   = t1 * t2;
  t4   = B * B;
  t5   = t1 * t4;
  t9   = PetscExpReal(-0.4e1 * Rp);
  t15  = PetscCosReal(0.2e1 * Rm);
  t22  = PetscExpReal(-0.2e1 * Rp);
  den1 = (-0.4e1 * t3 + 0.4e1 * t5) * t9 + ((0.8e1 * t1 + 0.8e1 * t4) * t2 * t15 - 0.8e1 * t5 - 0.8e1 * t2 * t4) * t22 - 0.4e1 * t3 + 0.4e1 * t5;

  _PC1 = num1 / den1;
  _PC2 = num2 / den1;
  _PC3 = num3 / den1;
  _PC4 = num4 / den1;

  t1  = Rm * x;
  t2  = PetscCosReal(t1);
  t4  = PetscSinReal(t1);
  t10 = PetscExpReal(-0.2e1 * x * B);
  t12 = kn * x;
  t13 = PetscCosReal(t12);
  t16 = PetscSinReal(t12);
  u1  = -km * (_PC1 * t2 + _PC2 * t4 + _PC3 * t2 + _PC4 * t4 + t10 * AA * t13 + t10 * BB * t16);

  t2  = Rm * x;
  t3  = PetscCosReal(t2);
  t6  = PetscSinReal(t2);
  t22 = PetscExpReal(-0.2e1 * x * B);
  t23 = B * t22;
  t24 = kn * x;
  t25 = PetscCosReal(t24);
  t29 = PetscSinReal(t24);
  u2  = UU * _PC1 * t3 + UU * _PC2 * t6 - _PC1 * t6 * Rm + _PC2 * t3 * Rm - VV * _PC3 * t3 - VV * _PC4 * t6 - _PC3 * t6 * Rm + _PC4 * t3 * Rm - 0.2e1 * t23 * AA * t25 - 0.2e1 * t23 * BB * t29 - t22 * AA * t29 * kn + t22 * BB * t25 * kn;

  t3   = PetscExpReal(0.2e1 * x * B);
  t4   = t3 * B;
  t8   = km * km;
  t9   = t3 * t8;
  t11  = 0.3e1 * t9 * Rm;
  t12  = Rm * Rm;
  t14  = t3 * t12 * Rm;
  t15  = UU * UU;
  t19  = 0.4e1 * t4 * UU * Rm - t11 - t14 + 0.3e1 * t3 * t15 * Rm;
  t20  = Rm * x;
  t21  = PetscSinReal(t20);
  t27  = 0.2e1 * B * t9;
  t33  = 0.2e1 * t4 * t12;
  t36  = 0.3e1 * t3 * UU * t12 - t27 - 0.2e1 * t4 * t15 + 0.3e1 * t9 * UU + t33 - t3 * t15 * UU;
  t37  = PetscCosReal(t20);
  t49  = VV * VV;
  t53  = -0.4e1 * t4 * VV * Rm - t11 + 0.3e1 * t3 * t49 * Rm - t14;
  t64  = t3 * t49 * VV + t33 - 0.3e1 * t9 * VV - 0.2e1 * t4 * t49 - t27 - 0.3e1 * t3 * VV * t12;
  t76  = B * t8;
  t80  = kn * kn;
  t83  = B * B;
  t87  = t80 * kn;
  t90  = kn * x;
  t91  = PetscSinReal(t90);
  t106 = PetscCosReal(t90);
  u3 = -((t19 * t21 + t36 * t37) * _PC1 + (t36 * t21 - t19 * t37) * _PC2 + (t53 * t21 + t64 * t37) * _PC3 + (t64 * t21 - t53 * t37) * _PC4 + (-0.3e1 * t8 * AA * kn - 0.8e1 * t76 * BB - 0.4e1 * BB * B * t80 + 0.4e1 * AA * t83 * kn - AA * t87) * t91 + (-0.4e1 * AA * t80 * B - 0.4e1 * t83 * BB * kn + 0.3e1 * t8 * BB * kn - sigma + BB * t87 - 0.8e1 * t76 * AA) * t106) / km;

  t3  = PetscExpReal(0.2e1 * x * B);
  t4  = km * km;
  t5  = t3 * t4;
  t6  = Rm * x;
  t7  = PetscCosReal(t6);
  t8  = _PC1 * t7;
  t10 = PetscSinReal(t6);
  t11 = _PC2 * t10;
  t13 = _PC3 * t7;
  t15 = _PC4 * t10;
  t18 = kn * x;
  t19 = PetscCosReal(t18);
  t22 = PetscSinReal(t18);
  t24 = UU * UU;
  t25 = t3 * t24;
  t28 = t3 * UU;
  t38 = Rm * Rm;
  t39 = t7 * t38;
  t42 = t10 * t38;
  t44 = t5 * t8 + t5 * t11 + t5 * t13 + t5 * t15 + t4 * AA * t19 + t4 * BB * t22 + t25 * t8 + t25 * t11 - 0.2e1 * t28 * _PC1 * t10 * Rm + 0.2e1 * t28 * _PC2 * t7 * Rm - t3 * _PC1 * t39 - t3 * _PC2 * t42;
  t45 = VV * VV;
  t46 = t3 * t45;
  t49 = t3 * VV;
  t62 = B * B;
  t78 = kn * kn;
  t82 = t46 * t13 + t46 * t15 + 0.2e1 * t49 * _PC3 * t10 * Rm - 0.2e1 * t49 * _PC4 * t7 * Rm - t3 * _PC3 * t39 - t3 * _PC4 * t42 + 0.4e1 * t62 * AA * t19 + 0.4e1 * t62 * BB * t22 + 0.4e1 * B * AA * t22 * kn - 0.4e1 * B * BB * t19 * kn - AA * t19 * t78 - BB * t22 * t78;
  u4 = t44 + t82;

  t3   = PetscExpReal(0.2e1 * x * B);
  t4   = t3 * B;
  t8   = km * km;
  t9   = t3 * t8;
  t10  = t9 * Rm;
  t11  = Rm * Rm;
  t13  = t3 * t11 * Rm;
  t14  = UU * UU;
  t18  = 0.4e1 * t4 * UU * Rm - t10 - t13 + 0.3e1 * t3 * t14 * Rm;
  t19  = Rm * x;
  t20  = PetscSinReal(t19);
  t26  = 0.2e1 * B * t9;
  t31  = 0.2e1 * t4 * t11;
  t34  = 0.3e1 * t3 * UU * t11 - t26 - 0.2e1 * t4 * t14 + t9 * UU + t31 - t3 * t14 * UU;
  t35  = PetscCosReal(t19);
  t47  = VV * VV;
  t51  = -0.4e1 * t4 * VV * Rm - t10 + 0.3e1 * t3 * t47 * Rm - t13;
  t61  = t3 * t47 * VV + t31 - t9 * VV - 0.2e1 * t4 * t47 - t26 - 0.3e1 * t3 * VV * t11;
  t72  = B * t8;
  t76  = kn * kn;
  t79  = B * B;
  t83  = t76 * kn;
  t86  = kn * x;
  t87  = PetscSinReal(t86);
  t101 = PetscCosReal(t86);
  u5 = ((t18 * t20 + t34 * t35) * _PC1 + (t34 * t20 - t18 * t35) * _PC2 + (t51 * t20 + t61 * t35) * _PC3 + (t61 * t20 - t51 * t35) * _PC4 + (-t8 * AA * kn - 0.4e1 * t72 * BB - 0.4e1 * BB * B * t76 + 0.4e1 * AA * t79 * kn - AA * t83) * t87 + (-0.4e1 * AA * t76 * B - 0.4e1 * t79 * BB * kn + t8 * BB * kn - sigma + BB * t83 - 0.4e1 * t72 * AA) * t101) / km;

  t3  = PetscExpReal(0.2e1 * x * B);
  t4  = UU * UU;
  t8  = km * km;
  t9  = t3 * t8;
  t10 = t9 * Rm;
  t11 = Rm * Rm;
  t13 = t3 * t11 * Rm;
  t14 = t3 * B;
  t18 = 0.3e1 * t3 * t4 * Rm + t10 - t13 + 0.4e1 * t14 * UU * Rm;
  t19 = Rm * x;
  t20 = PetscSinReal(t19);
  t28 = 0.2e1 * B * t9;
  t33 = 0.2e1 * t14 * t11;
  t34 = -0.2e1 * t4 * t14 + 0.3e1 * t3 * UU * t11 - t28 - t3 * t4 * UU - t9 * UU + t33;
  t35 = PetscCosReal(t19);
  t47 = VV * VV;
  t51 = -0.4e1 * t14 * VV * Rm - t13 + t10 + 0.3e1 * t3 * t47 * Rm;
  t61 = -0.3e1 * t3 * VV * t11 + t33 + t3 * t47 * VV + t9 * VV - 0.2e1 * t14 * t47 - t28;
  t71 = kn * kn;
  t74 = B * B;
  t80 = t71 * kn;
  t83 = kn * x;
  t84 = PetscSinReal(t83);
  t96 = PetscCosReal(t83);
  u6 = -((t18 * t20 + t34 * t35) * _PC1 + (t34 * t20 - t18 * t35) * _PC2 + (t51 * t20 + t61 * t35) * _PC3 + (t61 * t20 - t51 * t35) * _PC4 + (-0.4e1 * BB * B * t71 + 0.4e1 * AA * t74 * kn + t8 * AA * kn - AA * t80) * t84 + (-0.4e1 * AA * t71 * B - t8 * BB * kn - 0.4e1 * t74 * BB * kn - sigma + BB * t80) * t96) / km;

  /* SS = sin(km*z)*(exp(UU*x)*(_PC1*cos(Rm*x)+_PC2*sin(Rm*x)) + exp(-VV*x)*(_PC3*cos(Rm*x)+_PC4*sin(Rm*x)) + exp(-2*x*B)*(AA*cos(kn*x)+BB*sin(kn*x))); */

  /* u1 = Vx, u2 = Vz, u3 = txx, u4 = tzx, u5 = pressure, u6 = tzz */

  sum5 += u5 * PetscCosReal(km * z); /* pressure */
  sum6 += u6 * PetscCosReal(km * z); /* zz total stress */

  u1 *= PetscCosReal(km * z); /* x velocity */
  sum1 += u1;
  u2 *= PetscSinReal(km * z); /* z velocity */
  sum2 += u2;

  u3 *= PetscCosReal(km * z); /* xx total stress */
  sum3 += u3;
  u4 *= PetscSinReal(km * z); /* zx stress */
  sum4 += u4;

  /* rho = -sigma*sin(km*z)*cos(kn*x); */ /* density */
  /* sum7 += rho; */

  /* Output */
  if (mu) *mu = Z;
  if (vel) {
    vel[0] = sum1;
    vel[1] = sum2;
  }
  if (p) (*p) = sum5;
  if (s) {
    s[0] = sum3;
    s[1] = sum4;
    s[2] = sum6;
  }
  if (gamma) {
    /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
    gamma[0] = (sum3 + sum5) / (2.0 * Z);
    gamma[1] = (sum4) / (2.0 * Z);
    gamma[2] = (sum6 + sum5) / (2.0 * Z);
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SolKxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
{
  Parameter *s = (Parameter *)ctx;

  PetscFunctionBegin;
  PetscCall(SolKxSolution(x, s->m, s->n, s->B, v, NULL, NULL, NULL, NULL));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SolKxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
{
  Parameter *s = (Parameter *)ctx;

  PetscFunctionBegin;
  PetscCall(SolKxSolution(x, s->m, s->n, s->B, NULL, p, NULL, NULL, NULL));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*
  SolCxSolution - Exact Stokes solutions for discontinuous viscosity

 Input Parameters:
+ pos   - The (x,z) coordinate at which to evaluate the solution
. n     - The constant defining the x-dependence of the forcing function
. m     - The constant defining the z-dependence of the forcing function
. xc    - The x coordinate at which the viscosity is discontinuous
. etaA  - The viscosity coefficient for x < xc
- etaB  - The viscosity coefficient for x > xc

  Output Parameters:
+ vel   - The (x,z)-velocity at (x,z), or NULL
. p     - The pressure at (x,z), or NULL
. s     - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
. gamma - The strain rate, or NULL
- mu    - The viscosity at (x,z), or NULL

  Note:
.vb
  The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
  conditions everywhere. The forcing term f is given by

    fx = 0
    fz = sigma*sin(km*z)*cos(kn*x)

  where

    km = m*Pi (m may be non-integral)
    kn = n*Pi

  meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
  The viscosity eta jumps from etaA to etaB at x = xc.
.ve
*/
static PetscErrorCode SolCxSolution(const PetscReal pos[], PetscReal m, PetscInt n, PetscReal xc, PetscReal etaA, PetscReal etaB, PetscScalar vel[], PetscScalar *p, PetscScalar s[], PetscScalar gamma[], PetscScalar *mu)
{
  PetscReal _PC1A, _PC2A, _PC3A, _PC4A, _PC1B, _PC2B, _PC3B, _PC4B, _PC1, _PC2, _PC3, _PC4;
  PetscReal t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, t27, t28, t29, t30, t31, t32, t33, t34, t35, t36, t37, t38, t39, t40;
  PetscReal t41, t42, t43, t44, t45, t46, t47, t48, t49, t50, t51, t52, t53, t54, t55, t56, t57, t58, t59, t60, t61, t62, t63, t64, t65, t66, t67, t68, t69, t70, t71, t72, t73, t74, t75, t76, t77, t78, t79, t80;
  PetscReal t81, t82, t83, t84, t85, t86, t87, t88, t89, t90, t91, t92, t93, t94, t95, t96, t97, t98, t99, t100, t101, t102, t103, t104, t105, t106, t107, t108, t109, t110, t111, t112, t113, t115, t116, t117, t118, t119, t120;
  PetscReal t121, t122, t123, t124, t125, t126, t127, t128, t129, t130, t131, t132, t133, t134, t135, t136, t137, t138, t139, t140, t141, t142, t143, t144, t145, t146, t147, t148, t149, t150, t151, t152, t153, t154, t155, t156, t157, t158, t159, t160;
  PetscReal t161, t162, t163, t164, t165, t166, t167, t168, t169, t170, t171, t172, t173, t174, t175, t176, t177, t178, t179, t180, t181, t182, t183, t184, t186, t187, t188, t189, t190, t191, t192, t193, t194, t195, t196, t197, t198, t199;
  PetscReal t201, t202, t203, t204, t206, t207, t208, t209, t210, t211, t212, t213, t215, t216, t217, t218, t219, t220, t221, t222, t223, t224, t225, t226, t227, t228, t229, t230, t231, t232, t233, t234, t235, t236, t237, t238, t239, t240;
  PetscReal t241, t242, t243, t244, t245, t246, t247, t248, t249, t250, t251, t252, t253, t254, t255, t256, t257, t258, t259, t260, t261, t262, t263, t264, t265, t267, t268, t269, t270, t272, t273, t274, t275, t276, t277, t278, t279, t280;
  PetscReal t281, t282, t283, t284, t285, t286, t288, t289, t290, t291, t292, t295, t296, t297, t298, t299, t300, t301, t303, t304, t305, t307, t308, t310, t311, t312, t313, t314, t315, t316, t317, t318, t319, t320;
  PetscReal t321, t322, t323, t324, t325, t326, t327, t328, t329, t330, t331, t332, t334, t335, t336, t337, t338, t339, t340, t341, t342, t344, t345, t346, t347, t348, t349, t350, t351, t352, t353, t354, t355, t356, t358, t359, t360;
  PetscReal t361, t362, t363, t364, t365, t366, t367, t368, t369, t370, t371, t372, t373, t374, t375, t376, t377, t378, t379, t380, t381, t382, t383, t384, t385, t386, t387, t389, t390, t391, t393, t394, t395, t396, t397, t398;
  PetscReal t401, t402, t403, t404, t405, t406, t407, t408, t409, t410, t411, t412, t413, t414, t415, t416, t417, t418, t419, t421, t422, t423, t424, t425, t426, t427, t428, t429, t430, t431, t432, t433, t434, t436, t437, t438, t439, t440;
  PetscReal t441, t442, t443, t444, t445, t446, t447, t448, t450, t451, t453, t454, t455, t456, t457, t458, t459, t461, t462, t463, t464, t465, t466, t468, t469, t470, t471, t474, t475, t478, t480;
  PetscReal t482, t483, t484, t485, t488, t489, t490, t492, t493, t495, t497, t498, t499, t501, t502, t503, t504, t505, t507, t508, t509, t510, t511, t512, t513, t515, t518, t520;
  PetscReal t522, t525, t527, t528, t529, t530, t532, t533, t534, t535, t536, t538, t539, t541, t542, t544, t545, t546, t547, t548, t549, t550, t551, t552, t553, t554, t555, t556, t557, t560;
  PetscReal t561, t562, t563, t564, t567, t568, t571, t573, t575, t576, t578, t579, t583, t590, t591, t594, t595, t596, t597, t598, t600;
  PetscReal t601, t602, t604, t606, t607, t608, t611, t613, t615, t616, t617, t619, t621, t623, t624, t625, t626, t627, t629, t630, t632, t633, t634, t638, t639, t640;
  PetscReal t641, t642, t643, t644, t645, t647, t648, t649, t650, t651, t652, t653, t654, t655, t656, t657, t658, t659, t660, t662, t663, t665, t666, t667, t668, t670, t671, t672, t673, t674, t675, t676, t679, t680;
  PetscReal t682, t683, t684, t685, t686, t688, t689, t690, t691, t693, t694, t695, t696, t697, t698, t699, t700, t701, t702, t704, t705, t708, t709, t711, t712, t713, t714, t717, t718, t719;
  PetscReal t721, t722, t723, t726, t727, t728, t730, t733, t734, t735, t736, t737, t738, t739, t740, t741, t744, t745, t746, t749, t750, t752, t753, t754, t755, t757, t758, t759, t760;
  PetscReal t761, t762, t763, t764, t766, t767, t768, t770, t771, t772, t773, t774, t775, t776, t777, t778, t780, t781, t782, t785, t786, t789, t790, t791, t792, t793, t794, t795, t796, t797, t798, t800;
  PetscReal t801, t806, t807, t808, t809, t811, t812, t817, t818, t819, t821, t822, t824, t827, t828, t830, t834, t835, t837, t840;
  PetscReal t842, t843, t844, t845, t846, t849, t850, t853, t854, t855, t857, t858, t859, t860, t863, t864, t867, t868, t869, t873, t874, t877, t878, t879, t880;
  PetscReal t884, t888, t891, t894, t900, t901, t903, t904, t907, t908, t909, t911, t914, t915, t916, t919, t920;
  PetscReal t923, t924, t925, t926, t927, t929, t932, t935, t937, t939, t942, t943, t944, t945, t947, t948, t949, t950, t952, t953, t954, t955, t956, t957;
  PetscReal t961, t964, t965, t966, t967, t968, t969, t971, t972, t974, t977, t978, t981, t983, t987, t988, t992, t993, t994, t997, t998;
  PetscReal t1001, t1003, t1005, t1006, t1009, t1010, t1012, t1013, t1015, t1016, t1017, t1018, t1020, t1021, t1029, t1031, t1032, t1033, t1040;
  PetscReal t1041, t1042, t1044, t1047, t1050, t1054, t1055, t1057, t1058, t1063, t1068, t1069, t1070, t1079, t1080;
  PetscReal t1088, t1089, t1091, t1092, t1094, t1096, t1101, t1102, t1103, t1104, t1105, t1108, t1112, t1113, t1118, t1119, t1120;
  PetscReal t1121, t1122, t1123, t1124, t1125, t1126, t1127, t1128, t1129, t1130, t1132, t1133, t1134, t1135, t1138, t1139, t1140, t1141, t1142, t1145, t1146, t1148, t1149, t1150, t1153, t1154, t1156, t1157, t1158, t1159;
  PetscReal t1161, t1162, t1165, t1166, t1170, t1171, t1172, t1173, t1175, t1176, t1178, t1180, t1181, t1182, t1185, t1189, t1192, t1193, t1195, t1196, t1199;
  PetscReal t1201, t1203, t1209, t1210, t1211, t1213, t1214, t1218, t1221, t1224, t1225, t1226, t1228, t1233, t1234, t1235, t1236, t1237, t1240;
  PetscReal t1241, t1242, t1243, t1244, t1245, t1248, t1251, t1252, t1257, t1258, t1259, t1260, t1263, t1268, t1269, t1272, t1280;
  PetscReal t1282, t1283, t1284, t1285, t1287, t1288, t1289, t1292, t1293, t1296, t1297, t1300, t1304, t1307, t1310, t1311, t1312, t1316, t1317, t1320;
  PetscReal t1321, t1323, t1328, t1330, t1331, t1332, t1333, t1336, t1338, t1343, t1344, t1346, t1349, t1350, t1354;
  PetscReal t1366, t1369, t1370, t1371, t1376, t1378, t1380, t1383, t1386, t1387, t1388, t1391, t1393, t1399;
  PetscReal t1411, t1412, t1420, t1427;
  PetscReal t1450, t1456, t1468, t1472, t1474, t1478;
  PetscReal t1504, t1511;
  PetscReal t1545;
  PetscReal t1564, t1583;

  PetscReal sum1 = 0.0, sum2 = 0.0, sum3 = 0.0, sum4 = 0.0, sum5 = 0.0, sum6 = 0.0;
  PetscReal ZA = etaA, ZB = etaB;
  PetscInt  nz = m, nx = n;
  PetscReal u1, u2, u3, u4, u5, u6, Z, x = pos[0], z = pos[1];

  PetscFunctionBegin;
  /* Note that there is no Fourier sum here. */
  /****************************************************************************************/
  _PC1A = 0;
  /****************************************************************************************/
  t1   = nx * 0.3141592654e1;
  t2   = PetscSinReal(t1);
  t3   = nx * t2;
  t4   = nz * nz;
  t5   = t4 * t4;
  t6   = 0.3141592654e1 * 0.3141592654e1;
  t8   = t3 * t5 * t6;
  t9   = ZA * xc;
  t12  = PetscExpReal(xc * nz * 0.3141592654e1);
  t13  = t12 * t12;
  t15  = nz * 0.3141592654e1;
  t16  = PetscExpReal(t15);
  t17  = t16 * t16;
  t18  = t17 * t16;
  t19  = ZB * t13 * t18;
  t20  = t9 * t19;
  t23  = ZA * ZA;
  t24  = nx * nx;
  t25  = t24 * nx;
  t26  = t23 * t25;
  t28  = t13 * t13;
  t29  = t28 * t13;
  t33  = nx * ZB;
  t34  = t1 * xc;
  t35  = PetscSinReal(t34);
  t36  = t4 * nz;
  t37  = t35 * t36;
  t38  = t33 * t37;
  t39  = 0.3141592654e1 * ZA;
  t40  = t13 * t12;
  t41  = t17 * t40;
  t45  = ZB * ZB;
  t46  = t45 * t24;
  t47  = t46 * t4;
  t48  = 0.3141592654e1 * xc;
  t49  = t13 * t17;
  t53  = xc * xc;
  t54  = t36 * t53;
  t56  = t54 * t6 * t45;
  t57  = PetscCosReal(t34);
  t58  = t57 * t24;
  t59  = t28 * t12;
  t60  = t17 * t59;
  t61  = t58 * t60;
  t64  = t25 * t2;
  t65  = t64 * t15;
  t72  = nx * t23;
  t74  = t72 * t2 * t5;
  t75  = t6 * t53;
  t76  = t16 * t29;
  t80  = t23 * nz;
  t81  = t80 * 0.3141592654e1;
  t82  = t18 * t28;
  t86  = nx * t5;
  t87  = t23 * t6;
  t89  = xc * t2;
  t90  = t13 * t18;
  t91  = t89 * t90;
  t94  = t28 * t28;
  t96  = t24 * nz;
  t98  = t4 * t45;
  t99  = t98 * 0.3141592654e1;
  t100 = t58 * t41;
  t104 = 0.3141592654e1 * t25;
  t105 = ZA * nz * t104;
  t106 = t2 * ZB;
  t110 = t17 * t17;
  t111 = ZA * t110;
  t116 = nz * t28;
  t122 = t64 * t4 * t6;
  t126 = t23 * t29 * t4;
  t128 = t24 * xc;
  t132 = t36 * t23;
  t133 = t6 * t57;
  t135 = t128 * t41;
  t138 = t6 * xc;
  t142 = t72 * t2;
  t147 = 0.4e1 * t8 * t20 - 0.2e1 * t26 * t2 * t16 * t29 - 0.8e1 * t38 * t39 * t41 + 0.4e1 * t47 * t48 * t49 - 0.8e1 * t56 * t61 - 0.4e1 * t65 * t20 + 0.2e1 * t26 * t2 * t18 * t28 - 0.4e1 * t74 * t75 * t76 - 0.2e1 * t81 * t64 * t82 - 0.4e1 * t86 * t87 * t91 - t23 * t94 * t96 + 0.8e1 * t99 * t100 - 0.2e1 * t105 * t106 * t82 - 0.4e1 * t38 * t48 * t111 * t12 + 0.2e1 * t116 * ZB * t111 * t24 + 0.4e1 * t122 * t20 + 0.4e1 * t126 * 0.3141592654e1 * t17 * t128 + 0.8e1 * t132 * t133 * t135 + 0.4e1 * t74 * t138 * t76 - 0.2e1 * t142 * t4 * t18 * t28;
  t149 = ZA * t25 * t2;
  t150 = ZB * t28;
  t154 = t35 * t5;
  t155 = t72 * t154;
  t156 = t75 * t41;
  t159 = nx * ZA;
  t160 = t2 * t36;
  t161 = t159 * t160;
  t162 = 0.3141592654e1 * ZB;
  t163 = t28 * t16;
  t167 = t23 * t57;
  t168 = t167 * t24;
  t169 = nz * t110;
  t170 = t169 * t40;
  t173 = ZA * ZB;
  t174 = t173 * t90;
  t177 = t36 * 0.3141592654e1;
  t181 = t80 * t104;
  t184 = nz * t17;
  t188 = t17 * t29;
  t190 = t4 * 0.3141592654e1;
  t191 = t190 * t24;
  t206 = t138 * t60;
  t209 = t23 * t4;
  t211 = t209 * t6 * t25;
  t212 = t89 * t76;
  t216 = ZB * t16 * t29;
  t217 = t9 * t216;
  t220 = ZB * t110;
  t221 = ZA * t24;
  t222 = t221 * nz;
  t225 = t132 * t75;
  t232 = t45 * t28;
  t233 = t110 * t24;
  t234 = t233 * nz;
  t236 = t209 * 0.3141592654e1;
  t237 = t17 * xc;
  t239 = t237 * t13 * t24;
  t242 = -0.2e1 * t149 * t150 * t16 - 0.8e1 * t155 * t156 - 0.2e1 * t161 * t162 * t163 + 0.2e1 * t168 * t170 + 0.2e1 * t65 * t174 - 0.2e1 * t142 * t177 * t76 + 0.4e1 * t181 * t91 - 0.4e1 * t168 * t184 * t59 - 0.4e1 * t188 * t23 * t191 + 0.4e1 * t38 * t48 * ZA * t17 * t40 + 0.4e1 * t49 * t23 * t191 + 0.2e1 * t26 * t2 * t13 * t18 - 0.8e1 * t155 * t206 + 0.4e1 * t211 * t212 - 0.4e1 * t8 * t217 + 0.2e1 * t220 * t222 - 0.8e1 * t225 * t100 + 0.2e1 * t142 * t4 * t16 * t29 + t232 * t234 - 0.4e1 * t236 * t239;
  t244 = nx * t45;
  t245 = t244 * t37;
  t246 = t110 * t40;
  t251 = t237 * t59;
  t256 = t64 * t90;
  t260 = t36 * t45 * t133;
  t263 = t45 * t57;
  t264 = t263 * t24;
  t265 = t169 * t12;
  t269 = t6 * t36;
  t270 = t17 * t24;
  t274 = t110 * t13;
  t276 = t190 * t128;
  t279 = nx * t36;
  t281 = t28 * t40;
  t282 = t281 * t35;
  t286 = t138 * t41;
  t289 = t75 * t60;
  t296 = t190 * t173;
  t305 = t86 * t45 * t35;
  t312 = t33 * t154;
  t313 = t6 * ZA;
  t324 = t232 * t270;
  t327 = -0.2e1 * t245 * t48 * t246 + 0.4e1 * t159 * t37 * t162 * t251 + 0.4e1 * t209 * t75 * t256 + 0.8e1 * t260 * t135 + 0.2e1 * t264 * t265 + 0.32e2 * t9 * t150 * t269 * t270 + 0.4e1 * t274 * t23 * t276 + 0.2e1 * t279 * t45 * t282 * t48 + 0.8e1 * t155 * t286 + 0.8e1 * t155 * t289 - 0.8e1 * t150 * ZA * t96 * t17 + 0.8e1 * t296 * t61 - 0.2e1 * t105 * t106 * t163 - 0.2e1 * t81 * t256 - 0.8e1 * t305 * t156 - 0.4e1 * t33 * t282 * t177 * t9 - 0.16e2 * t312 * t313 * t237 * t40 - 0.4e1 * t168 * t184 * t40 + 0.2e1 * t168 * t265 + 0.16e2 * t269 * t53 * t324;
  t328 = t3 * t4;
  t331 = t72 * t37;
  t332 = t48 * t60;
  t335 = nz * t94;
  t345 = t72 * t35;
  t349 = t173 * t57;
  t355 = t53 * t17;
  t364 = t54 * t6 * ZB;
  t365 = t28 * t17;
  t369 = xc * ZB;
  t370 = t269 * t369;
  t371 = ZA * t57;
  t373 = t371 * t270 * t40;
  t385 = nx * t35;
  t396 = t4 * xc;
  t397 = t396 * t162;
  t415 = t37 * t48;
  t418 = -0.32e2 * t364 * t365 * t221 - 0.16e2 * t370 * t373 - 0.4e1 * t331 * t48 * t41 + 0.4e1 * t86 * t23 * t53 * t6 * t2 * t90 + 0.2e1 * t385 * t177 * t23 * xc * t246 + 0.16e2 * t132 * t53 * t6 * t28 * t270 - 0.4e1 * t397 * t371 * t233 * t12 - 0.12e2 * t173 * t58 * t190 * t251 + 0.2e1 * t385 * t36 * 0.3141592654e1 * t23 * xc * t59 - 0.8e1 * t99 * t61 - 0.2e1 * t244 * t59 * t415;
  t427 = t371 * t270 * t59;
  t439 = t209 * t48;
  t440 = t110 * t12;
  t441 = t58 * t440;
  t447 = t36 * xc;
  t455 = t48 * t440;
  t471 = ZB * t17;
  t492 = 0.12e2 * t397 * t373 - 0.4e1 * t122 * t217 + 0.16e2 * t364 * t427 + 0.16e2 * t312 * t313 * t355 * t40 - 0.8e1 * t279 * t39 * t35 * ZB * t60 + 0.2e1 * t439 * t441 - 0.2e1 * t81 * t64 * t163 + 0.8e1 * t447 * t87 * t61 + 0.2e1 * t23 * t59 * t57 * t276 + 0.2e1 * t245 * t455 - 0.4e1 * t349 * t96 * t440 - 0.16e2 * t370 * t427 + 0.4e1 * t181 * t212 - 0.16e2 * t365 * t23 * t269 * t128 + 0.16e2 * t86 * t138 * ZA * t35 * t471 * t59 + 0.8e1 * t305 * t289 - 0.4e1 * t439 * t100 + 0.2e1 * ZB * t25 * t2 * ZA * t18 * t28 + 0.2e1 * t142 * t4 * t28 * t16 - 0.8e1 * t56 * t100;
  t499 = ZA * t53 * t19;
  t505 = t396 * 0.3141592654e1;
  t518 = t173 * t53 * t16 * t29;
  t533 = t23 * t28;
  t535 = t188 * t45;
  t538 = t24 * t4;
  t545 = t3 * t177;
  t546 = t173 * t76;
  t555 = t45 * t110;
  t557 = t72 * t160;
  t561 = -0.8e1 * t225 * t61 - 0.2e1 * t161 * t162 * t82 + t533 * t234 + 0.4e1 * t535 * t191 + 0.4e1 * t167 * t538 * t332 + 0.4e1 * t349 * t96 * t60 + 0.2e1 * t545 * t546 - 0.2e1 * t264 * t170 + 0.4e1 * t397 * t281 * ZA * t58 - t555 * t96 - 0.4e1 * t557 * t48 * t76;
  t567 = t396 * 0.3141592654e1 * t45;
  t568 = t58 * t246;
  t597 = t58 * nz;
  t615 = t13 * t45;
  t616 = t615 * t233;
  t619 = t94 * t45;
  t621 = t45 * t59;
  t625 = 0.2e1 * t149 * t216 + 0.2e1 * t567 * t568 - 0.16e2 * t269 * xc * t324 - 0.2e1 * t236 * xc * t281 * t58 - 0.2e1 * t142 * t177 * t90 - 0.8e1 * t567 * t100 + 0.2e1 * t65 * t546 - 0.8e1 * t305 * t206 + 0.2e1 * nz * t45 * t281 * t57 * t24 - t23 * t110 * t96 - 0.8e1 * t296 * t100 + 0.2e1 * t23 * t281 * t597 + 0.4e1 * t545 * t20 + 0.2e1 * t159 * t2 * t4 * ZB * t163 - 0.4e1 * t557 * t48 * t90 + 0.4e1 * t122 * t518 + 0.8e1 * t263 * t538 * t332 - 0.4e1 * t505 * t616 - t619 * t96 - 0.2e1 * t621 * t57 * t276;
  t626 = t49 * t45;
  t660 = t29 * t45;
  t685 = 0.2e1 * t545 * t174 - 0.4e1 * t126 * 0.3141592654e1 * t24 * xc - 0.4e1 * t47 * t48 * t188 + 0.4e1 * t505 * t660 * t24 - 0.2e1 * t142 * t177 * t163 - 0.2e1 * t142 * t4 * t13 * t18 + 0.8e1 * t260 * t128 * t60 - 0.2e1 * t328 * t546 - 0.2e1 * t26 * t2 * t28 * t16 + 0.4e1 * t545 * t217 - 0.4e1 * t209 * t138 * t256;
  t690 = t6 * 0.3141592654e1;
  t691 = ZA * t690;
  t693 = t24 * t24;
  t694 = t693 * xc;
  t695 = t188 * t694;
  t698 = t23 * ZA;
  t699 = t698 * t690;
  t700 = t699 * t5;
  t704 = t5 * t4;
  t705 = t691 * t704;
  t709 = t691 * t5;
  t713 = t5 * nz;
  t714 = t713 * ZB;
  t718 = t698 * t6;
  t719 = t713 * t28;
  t722 = t699 * t704;
  t726 = t713 * t94;
  t733 = t713 * t45;
  t736 = t87 * t36;
  t740 = -0.4e1 * t691 * t98 * t695 + 0.8e1 * t700 * t270 * t13 + 0.4e1 * t705 * t660 * xc + 0.8e1 * t709 * t660 * t128 + 0.2e1 * t87 * t714 * t110 + t718 * t719 * t110 - 0.4e1 * t722 * t237 * t13 - t313 * t726 * t45 - 0.4e1 * t699 * t704 * xc * t29 + t313 * t733 * t28 + 0.4e1 * t736 * t150 * t233;
  t746 = t313 * t36;
  t752 = t6 * t6;
  t753 = t23 * t752;
  t759 = t698 * t752;
  t760 = t759 * t36;
  t761 = t17 * t693;
  t762 = xc * t28;
  t763 = t761 * t762;
  t766 = t87 * t713;
  t773 = t699 * t4;
  t774 = t110 * t693;
  t775 = xc * t13;
  t785 = t704 * t17;
  t789 = -0.16e2 * t736 * t150 * t270 + t718 * t116 * t693 - 0.2e1 * t746 * t555 * t24 + 0.4e1 * t705 * t535 + 0.64e2 * t753 * t713 * t17 * t150 * t128 - 0.16e2 * t760 * t763 + 0.2e1 * t766 * t150 * t110 + 0.4e1 * t722 * t274 * xc + 0.4e1 * t773 * t774 * t775 - 0.8e1 * t766 * t150 * t17 + 0.8e1 * t700 * t233 * t775 + 0.4e1 * t699 * t785 * t13;
  t791 = t691 * t4;
  t792 = t45 * t693;
  t793 = t49 * t792;
  t796 = t759 * t713;
  t797 = t53 * t28;
  t798 = t270 * t797;
  t801 = t87 * nz;
  t818 = t5 * t36;
  t819 = t753 * t818;
  t827 = t753 * t36 * ZB;
  t830 = xc * t45;
  t834 = -0.4e1 * t791 * t793 + 0.32e2 * t796 * t798 + 0.2e1 * t801 * ZB * t693 * t110 + 0.2e1 * t718 * t36 * t28 * t24 - 0.8e1 * t700 * t128 * t29 - 0.8e1 * t700 * t239 - 0.8e1 * t801 * t150 * t761 + 0.32e2 * t819 * t365 * t369 - 0.64e2 * t753 * t714 * t798 + 0.32e2 * t827 * t763 + 0.4e1 * t705 * t830 * t49;
  t842 = xc * t29;
  t843 = t270 * t842;
  t849 = t759 * t818;
  t853 = t691 * t396;
  t857 = t691 * t5 * t45;
  t869 = t313 * nz;
  t874 = -0.2e1 * t718 * t36 * t94 * t24 - 0.4e1 * t773 * t761 * t29 + 0.8e1 * t700 * t843 + 0.2e1 * t87 * t726 * ZB + 0.16e2 * t849 * t797 * t17 + 0.4e1 * t853 * t793 + 0.8e1 * t857 * t239 + 0.2e1 * t801 * t150 * t693 - 0.8e1 * t700 * t270 * t29 - 0.8e1 * t709 * t49 * t46 - t869 * t619 * t693 + t869 * t232 * t693;
  t877 = ZA * t752;
  t878 = t877 * t818;
  t911 = 0.16e2 * t878 * t53 * t45 * t365 - 0.4e1 * t699 * t785 * t29 - 0.4e1 * t705 * t188 * t830 + 0.2e1 * t801 * t94 * t693 * ZB - 0.8e1 * t857 * t843 - t718 * t726 + 0.4e1 * t773 * t761 * t13 - 0.4e1 * t705 * t775 * t555 + 0.2e1 * t746 * t232 * t233 - 0.16e2 * t878 * t830 * t365 - 0.2e1 * t746 * t619 * t24;
  t916 = t110 * t28;
  t945 = t28 * t693 * t45 * t17;
  t948 = 0.32e2 * t877 * t733 * t798 + 0.2e1 * t718 * t36 * t916 * t24 - 0.4e1 * t705 * t626 + t718 * nz * t916 * t693 - t869 * t792 * t110 - 0.4e1 * t773 * t761 * t775 + t718 * t719 + 0.2e1 * t746 * t232 * t24 - 0.16e2 * t849 * t365 * xc - t718 * t713 * t110 - 0.4e1 * t773 * t694 * t29 + 0.16e2 * t877 * t54 * t945;
  t974 = t761 * t797;
  t987 = 0.4e1 * t773 * t695 + 0.4e1 * t736 * t150 * t24 + 0.4e1 * t722 * t842 * t17 - 0.16e2 * t877 * t447 * t945 + 0.2e1 * t87 * t714 * t28 + t313 * t713 * t916 * t45 - 0.4e1 * t853 * t615 * t774 - 0.32e2 * t877 * t713 * xc * t324 + 0.16e2 * t760 * t974 + 0.4e1 * t736 * t94 * t24 * ZB + t869 * t792 * t916 - 0.8e1 * t691 * t5 * xc * t616;
  t1021 = -t718 * t169 * t693 - 0.32e2 * t827 * t974 + 0.2e1 * t801 * t150 * t774 + 0.4e1 * t791 * t188 * t792 + 0.4e1 * t736 * t220 * t24 + 0.4e1 * t791 * t842 * t792 + 0.8e1 * t709 * t660 * t270 - t718 * t335 * t693 - 0.2e1 * t718 * t36 * t110 * t24 - 0.32e2 * t819 * t797 * t471 - t313 * t733 * t110 - 0.32e2 * t796 * t270 * t762;

  _PC2A = (t147 - 0.4e1 * t65 * t217 + t418 + 0.2e1 * t150 * t222 + t327 - 0.2e1 * t149 * t19 + 0.2e1 * t335 * ZB * t24 * ZA - 0.16e2 * t312 * t313 * t355 * t59 - 0.4e1 * t281 * ZB * ZA * t597 - 0.2e1 * t505 * t45 * t281 * t58 - 0.4e1 * t211 * t2 * t53 * t76 + 0.8e1 * t305 * t286 - 0.4e1 * t122 * t499 - 0.4e1 * t331 * t332 + 0.8e1 * t345 * t177 * t60 - 0.2e1 * t142 * t177 * t82 + 0.2e1 * t72 * t281 * t415 + 0.4e1 * t349 * t96 * t41 - 0.2e1 * t81 * t64 * t76 + 0.2e1 * t58 * t80 * t59 + 0.8e1 * t345 * t177 * t41 - 0.4e1 * t8 * t499 + t242 + 0.4e1 * t8 * t518 + t625 + t685 + 0.2e1 * t328 * t174 + 0.2e1 * t331 * t455 - 0.2e1 * t33 * t2 * t4 * ZA * t82 - 0.4e1 * t626 * t191 + 0.16e2 * t364 * t373 - 0.2e1 * t621 * t597 - 0.2e1 * t439 * t568 + t492 + t533 * t96 + t232 * t96 + 0.2e1 * t567 * t441 + t561) / (t740 + t789 + t834 + t874 + t911 + t948 + t987 + t1021);
  /****************************************************************************************/
  t1   = nz * nz;
  t2   = t1 * nz;
  t3   = t2 * 0.3141592654e1;
  t4   = t3 * xc;
  t5   = ZB * ZB;
  t7   = PetscExpReal(nz * 0.3141592654e1);
  t8   = t7 * t7;
  t9   = t5 * t8;
  t12  = PetscExpReal(xc * nz * 0.3141592654e1);
  t13  = t12 * t12;
  t14  = t13 * t13;
  t15  = t14 * t13;
  t19  = nx * nx;
  t21  = nx * 0.3141592654e1;
  t22  = PetscSinReal(t21);
  t23  = t19 * nx * t22;
  t24  = t23 * 0.3141592654e1;
  t25  = ZA * ZB;
  t26  = t7 * t15;
  t27  = t25 * t26;
  t30  = t21 * xc;
  t31  = PetscSinReal(t30);
  t32  = t31 * nx;
  t33  = t32 * nz;
  t34  = ZA * ZA;
  t35  = t8 * t8;
  t36  = t34 * t35;
  t40  = t2 * t34;
  t41  = 0.3141592654e1 * t8;
  t42  = t41 * t15;
  t45  = t1 * t5;
  t46  = t14 * t14;
  t49  = t19 * t5;
  t51  = t19 * t46;
  t53  = t19 * t34;
  t55  = t8 * t7;
  t56  = t13 * t55;
  t57  = t25 * t56;
  t60  = t2 * nx;
  t61  = 0.3141592654e1 * 0.3141592654e1;
  t63  = t60 * t31 * t61;
  t64  = xc * xc;
  t65  = ZA * t64;
  t66  = ZB * t8;
  t67  = t14 * t12;
  t68  = t66 * t67;
  t69  = t65 * t68;
  t72  = -0.4e1 * t4 * t9 * t15 + 0.4e1 * t24 * t27 + 0.4e1 * t33 * t36 * t12 - 0.4e1 * t40 * t42 - t45 * t46 + t45 * t14 - t49 * t14 + t51 * t5 - t53 * t14 + 0.4e1 * t24 * t57 + 0.32e2 * t63 * t69;
  t73  = t1 * nx;
  t75  = t73 * t31 * 0.3141592654e1;
  t76  = t8 * t67;
  t77  = t25 * t76;
  t80  = t1 * t1;
  t81  = t80 * t34;
  t83  = t61 * t14;
  t87  = t1 * t19;
  t88  = PetscCosReal(t30);
  t90  = t87 * t88 * t61;
  t91  = t5 * t64;
  t92  = t13 * t12;
  t93  = t8 * t92;
  t94  = t91 * t93;
  t100 = ZB * t64 * ZA * t8 * t92;
  t103 = nz * t19;
  t105 = t103 * t88 * 0.3141592654e1;
  t106 = ZA * xc;
  t107 = ZB * t35;
  t109 = t106 * t107 * t12;
  t112 = t34 * xc;
  t113 = t112 * t93;
  t116 = t35 * t14;
  t118 = t1 * ZA;
  t119 = ZB * t14;
  t122 = t1 * t46;
  t125 = t19 * ZB;
  t126 = t35 * ZA;
  t127 = t125 * t126;
  t129 = t1 * ZB;
  t132 = -0.16e2 * t75 * t77 + 0.16e2 * t81 * t64 * t83 * t8 + 0.16e2 * t90 * t94 - 0.32e2 * t90 * t100 + 0.8e1 * t105 * t109 - 0.8e1 * t75 * t113 + t45 * t116 + 0.2e1 * t118 * t119 + 0.2e1 * t122 * t25 - 0.2e1 * t127 + 0.2e1 * t129 * t126;
  t134 = t1 * t34;
  t136 = t34 * t64;
  t137 = t136 * t76;
  t141 = t91 * t76;
  t145 = t103 * t34;
  t146 = 0.3141592654e1 * xc;
  t147 = t8 * t13;
  t153 = t14 * ZA;
  t156 = xc * t5;
  t157 = t156 * t93;
  t160 = t103 * t5;
  t162 = t146 * t8 * t15;
  t166 = t34 * t7 * t15;
  t169 = t134 * t116 - 0.16e2 * t63 * t137 - t49 * t116 - 0.16e2 * t63 * t141 - t53 * t116 + 0.4e1 * t145 * t146 * t147 - 0.2e1 * t51 * t25 - 0.2e1 * t125 * t153 - 0.16e2 * t75 * t157 + 0.4e1 * t160 * t162 - 0.4e1 * t24 * t166;
  t170 = t106 * t68;
  t177 = t35 * t92;
  t178 = t112 * t177;
  t181 = t156 * t76;
  t186 = t35 * t12;
  t187 = t112 * t186;
  t193 = t5 * 0.3141592654e1;
  t206 = t34 * t14;
  t207 = t206 * t7;
  t210 = -0.32e2 * t63 * t170 + 0.32e2 * t90 * t170 + 0.8e1 * t75 * t109 + 0.4e1 * t105 * t178 - 0.16e2 * t75 * t181 - 0.16e2 * t90 * t113 - 0.4e1 * t75 * t187 + 0.16e2 * t90 * t141 - 0.4e1 * t103 * t15 * t193 * xc + 0.16e2 * t73 * t22 * t34 * t146 * t26 + 0.4e1 * t32 * nz * t34 * t67 + 0.4e1 * t24 * t207;
  t217 = t106 * t66 * t92;
  t226 = t88 * t19 * nz;
  t227 = 0.3141592654e1 * t34;
  t229 = t227 * xc * t67;
  t232 = t73 * t31;
  t234 = t146 * t5 * t67;
  t238 = t61 * ZB;
  t239 = t14 * t8;
  t240 = t238 * t239;
  t243 = t136 * t93;
  t246 = -0.8e1 * t33 * t25 * t186 + 0.32e2 * t90 * t217 - t45 * t35 + t53 * t35 - t134 * t35 - t134 * t46 + t134 * t14 - 0.4e1 * t226 * t229 + 0.4e1 * t232 * t234 + 0.32e2 * t87 * t65 * t240 + 0.16e2 * t63 * t243;
  t247 = t14 * t92;
  t249 = t227 * t247 * xc;
  t254 = t73 * t22;
  t259 = t60 * t22 * t61;
  t260 = t112 * t26;
  t264 = t146 * t247 * t5;
  t268 = xc * t14;
  t274 = t5 * t14;
  t275 = t274 * t8;
  t280 = nz * nx;
  t281 = t280 * t22;
  t282 = t55 * t14;
  t283 = t25 * t282;
  t290 = ZA * t247 * xc * ZB;
  t295 = t22 * nx * t1 * 0.3141592654e1;
  t298 = -0.4e1 * t232 * t249 + 0.8e1 * t105 * t217 - 0.4e1 * t254 * t227 * t26 - 0.8e1 * t259 * t260 - 0.4e1 * t232 * t264 - 0.16e2 * t81 * t61 * t268 * t8 + 0.16e2 * t80 * t64 * t61 * t275 - 0.4e1 * t232 * t229 + 0.8e1 * t281 * t283 - 0.4e1 * t105 * t187 + 0.8e1 * t75 * t290 + 0.4e1 * t295 * t27;
  t301 = t61 * t5;
  t307 = t87 * t34;
  t312 = t61 * xc;
  t313 = t312 * t239;
  t317 = t34 * t55 * t14;
  t329 = ZB * t13 * t55;
  t330 = t65 * t329;
  t337 = -0.16e2 * t87 * t64 * t301 * t239 - 0.32e2 * t90 * t69 - 0.16e2 * t307 * t64 * t61 * t239 + 0.16e2 * t307 * t313 + 0.4e1 * t24 * t317 + t53 * t46 + t49 * t35 - 0.32e2 * t63 * t100 - 0.4e1 * t280 * t31 * t34 * t247 + 0.8e1 * t259 * t330 - 0.4e1 * t280 * t31 * t247 * t5;
  t340 = t5 * t35;
  t344 = t25 * t93;
  t356 = t41 * t13;
  t360 = t23 * nz * t61;
  t363 = t25 * t64 * t7 * t15;
  t366 = t156 * t177;
  t369 = t14 * t7;
  t370 = t25 * t369;
  t373 = t156 * t186;
  t378 = 0.4e1 * t24 * t283 + 0.4e1 * t33 * t340 * t12 - 0.16e2 * t75 * t344 - 0.4e1 * t280 * t31 * t5 * t67 + 0.8e1 * t33 * t25 * t247 + 0.32e2 * t63 * t217 + 0.4e1 * t40 * t356 - 0.8e1 * t360 * t363 + 0.4e1 * t75 * t366 + 0.4e1 * t295 * t370 - 0.4e1 * t75 * t373 - 0.4e1 * t105 * t366;
  t382 = t112 * t76;
  t387 = t80 * t61;
  t391 = t136 * t26;
  t409 = 0.16e2 * t63 * t382 + 0.4e1 * t226 * t234 - 0.16e2 * t387 * xc * t275 + 0.8e1 * t259 * t391 - 0.16e2 * t105 * t344 + 0.4e1 * t226 * t264 - 0.8e1 * t105 * t170 + 0.16e2 * t232 * t193 * t76 + 0.8e1 * t360 * t330 - 0.8e1 * t105 * t290 + 0.16e2 * t90 * t243;
  t423 = t153 * t8;
  t426 = t34 * t13;
  t427 = t426 * t55;
  t430 = t34 * t8;
  t437 = t80 * ZA;
  t441 = 0.4e1 * t145 * t42 - 0.16e2 * t90 * t157 + 0.24e2 * t75 * t217 + 0.4e1 * t226 * t249 + 0.4e1 * t254 * t227 * t282 + 0.4e1 * t160 * t356 - 0.8e1 * t129 * t423 - 0.8e1 * t281 * t427 - 0.8e1 * t33 * t430 * t67 + 0.8e1 * t33 * t430 * t92 + 0.32e2 * t437 * ZB * t313;
  t453 = t106 * ZB * t7 * t15;
  t456 = t2 * t5;
  t459 = t112 * t56;
  t462 = t126 * t14;
  t474 = t40 * 0.3141592654e1;
  t475 = xc * t8;
  t480 = t146 * t13 * t35;
  t483 = -0.4e1 * t103 * xc * t193 * t147 + 0.16e2 * t87 * t61 * t156 * t239 + 0.8e1 * t259 * t453 - 0.4e1 * t456 * t356 + 0.8e1 * t259 * t459 - 0.2e1 * t125 * t462 - 0.8e1 * t281 * t207 + 0.16e2 * t295 * t459 - 0.8e1 * t60 * t22 * ZA * t312 * t329 + 0.4e1 * t474 * t475 * t15 + 0.4e1 * t160 * t480;
  t497 = t136 * t56;
  t504 = t9 * t13;
  t509 = t475 * t13;
  t512 = -0.8e1 * t105 * t113 - 0.4e1 * t254 * t227 * t56 + 0.8e1 * t281 * t57 + 0.4e1 * t295 * t283 + 0.2e1 * t129 * t462 + 0.4e1 * t24 * t370 - 0.8e1 * t360 * t497 - 0.4e1 * t24 * t427 - 0.4e1 * t145 * t162 + 0.4e1 * t4 * t504 - 0.8e1 * t281 * t370 - 0.4e1 * t474 * t509;
  t528 = t5 * t13;
  t529 = t528 * t35;
  t532 = t106 * t329;
  t542 = -0.16e2 * t295 * t453 - 0.32e2 * t437 * t64 * t240 + 0.8e1 * t281 * t317 + 0.24e2 * t75 * t170 - 0.4e1 * t75 * t178 + 0.8e1 * t360 * t453 - 0.4e1 * t4 * t529 - 0.16e2 * t295 * t532 - 0.8e1 * t33 * t344 - 0.16e2 * t90 * t181 + 0.4e1 * t33 * t340 * t92;
  t557 = t146 * t15;
  t562 = xc * t15;
  t563 = t562 * t5;
  t573 = 0.16e2 * t232 * t193 * t93 - 0.8e1 * t259 * t363 - 0.8e1 * t259 * t497 + 0.8e1 * t33 * t77 + 0.8e1 * t360 * t391 + 0.4e1 * t254 * t227 * t369 + 0.4e1 * t145 * t557 + 0.8e1 * t281 * t166 + 0.4e1 * t3 * t563 + 0.8e1 * t105 * t382 - 0.4e1 * t145 * t480 - 0.4e1 * t33 * t36 * t92;
  t600 = 0.4e1 * t456 * t42 - 0.8e1 * t360 * t260 - 0.4e1 * t40 * t557 - 0.4e1 * t105 * t373 + 0.16e2 * t226 * t227 * t93 - 0.16e2 * t90 * t382 - 0.4e1 * t145 * t356 - 0.16e2 * t63 * t157 - 0.32e2 * t87 * t25 * t313 - 0.16e2 * t226 * t227 * t76 - 0.16e2 * t63 * t113;
  t623 = xc * t13;
  t627 = 0.8e1 * t125 * t423 - 0.8e1 * t360 * t532 + 0.16e2 * t90 * t137 - 0.4e1 * t160 * t42 + 0.16e2 * t63 * t94 + 0.16e2 * t63 * t181 - 0.8e1 * t281 * t27 - 0.8e1 * t75 * t382 + 0.8e1 * t360 * t459 + 0.4e1 * t295 * t57 + 0.16e2 * t105 * t77 + 0.4e1 * t474 * t623 * t35;
  t632 = t61 * 0.3141592654e1;
  t633 = t632 * t8;
  t634 = t80 * nz;
  t638 = t632 * t634;
  t639 = t638 * xc;
  t642 = t61 * t34;
  t643 = t122 * t19;
  t649 = t61 * t61;
  t650 = t649 * t1;
  t652 = t19 * t19;
  t653 = t14 * t652;
  t654 = t653 * t9;
  t657 = t14 * t1;
  t658 = t657 * t19;
  t665 = t632 * t34;
  t666 = t665 * t2;
  t667 = t8 * t19;
  t668 = t667 * t623;
  t674 = t665 * nz;
  t675 = t652 * xc;
  t682 = 0.8e1 * t633 * t426 * t634 - 0.8e1 * t639 * t529 - 0.4e1 * t642 * t643 + 0.2e1 * t642 * t116 * t80 + 0.32e2 * t650 * t64 * t654 + 0.4e1 * t301 * t658 + 0.4e1 * t387 * t46 * ZA * ZB - 0.16e2 * t666 * t668 - 0.16e2 * t666 * t667 * t15 - 0.8e1 * t674 * t675 * t15 + 0.4e1 * t238 * t153 * t80;
  t683 = t46 * t652;
  t686 = t633 * t15;
  t691 = t35 * t80;
  t698 = t35 * t652;
  t705 = t14 * t80;
  t708 = t61 * t35;
  t717 = -0.2e1 * t642 * t683 - 0.8e1 * t686 * t5 * t634 * xc - 0.2e1 * t301 * t691 + 0.8e1 * t638 * t563 - 0.2e1 * t642 * t691 - 0.2e1 * t642 * t698 - 0.2e1 * t301 * t698 - 0.2e1 * t301 * t683 + 0.2e1 * t642 * t705 + 0.2e1 * t708 * t274 * t80 + 0.2e1 * t301 * t653 - 0.2e1 * t642 * t80 * t46;
  t727 = t61 * t46;
  t737 = t649 * t34;
  t738 = t737 * t1;
  t739 = t8 * t652;
  t740 = t739 * t268;
  t746 = t61 * ZA;
  t754 = t632 * nz * xc;
  t758 = 0.2e1 * t301 * t705 + 0.2e1 * t642 * t653 - 0.8e1 * t665 * xc * t634 * t15 - 0.2e1 * t727 * t5 * t80 - 0.32e2 * t650 * xc * t654 + 0.2e1 * t301 * t698 * t14 - 0.32e2 * t738 * t740 + 0.8e1 * t674 * t739 * t562 + 0.4e1 * t746 * t119 * t652 + 0.8e1 * t674 * t698 * t623 - 0.8e1 * t754 * t528 * t698;
  t762 = t633 * t13;
  t764 = t5 * nz * t652;
  t767 = t80 * t1;
  t768 = t649 * t767;
  t772 = t649 * ZA;
  t773 = t772 * t129;
  t777 = t35 * t1 * t19;
  t780 = t632 * t5;
  t781 = t780 * t15;
  t786 = t698 * ZA;
  t790 = t64 * t14;
  t800 = t649 * t8;
  t809 = 0.4e1 * t238 * t126 * t80 - 0.8e1 * t762 * t764 - 0.32e2 * t768 * xc * t275 + 0.64e2 * t773 * t740 - 0.4e1 * t301 * t777 - 0.8e1 * t781 * nz * t8 * t675 + 0.4e1 * t238 * t786 + 0.32e2 * t768 * t34 * t790 * t8 - 0.8e1 * t633 * t528 * t634 + 0.8e1 * t754 * t528 * t739 + 0.128e3 * t800 * t119 * t80 * t19 * t106 + 0.8e1 * t674 * t739 * t13;
  t812 = t649 * t80;
  t817 = t83 * ZB;
  t824 = t746 * ZB;
  t828 = t800 * t14;
  t855 = -0.64e2 * t812 * xc * t274 * t667 + 0.4e1 * t817 * t786 + 0.4e1 * t727 * ZA * t652 * ZB - 0.32e2 * t824 * t657 * t667 - 0.32e2 * t828 * t34 * t767 * xc - 0.8e1 * t633 * t15 * t34 * t634 - 0.8e1 * t674 * t739 * t15 + 0.32e2 * t768 * t64 * t275 + 0.4e1 * t708 * t14 * t307 + 0.2e1 * t708 * t206 * t652 + 0.8e1 * t632 * t35 * t13 * t34 * t634 * xc;
  t858 = t35 * t19;
  t873 = t2 * t8;
  t878 = t61 * t1;
  t901 = -0.16e2 * t632 * t2 * xc * t528 * t858 + 0.8e1 * t824 * t658 + 0.4e1 * t301 * t14 * t777 - 0.8e1 * t665 * t634 * t509 - 0.8e1 * t674 * t739 * t623 - 0.16e2 * t781 * t873 * t19 * xc + 0.8e1 * t878 * t14 * t127 + 0.8e1 * t878 * ZA * t51 * ZB + 0.8e1 * t686 * t764 + 0.8e1 * t665 * xc * t634 * t15 * t8 + 0.8e1 * t633 * t15 * t5 * t634 + 0.4e1 * t387 * t14 * t107 * ZA;
  t903 = t739 * t790;
  t923 = t737 * t80;
  t924 = t667 * t790;
  t927 = t780 * t2;
  t937 = t15 * t19 * xc;
  t943 = 0.32e2 * t738 * t903 + 0.16e2 * t781 * t873 * t19 + 0.8e1 * t754 * t15 * t652 * t5 + 0.16e2 * t666 * t858 * t623 + 0.64e2 * t828 * t25 * t767 * xc - 0.16e2 * t762 * t456 * t19 + 0.64e2 * t923 * t924 + 0.16e2 * t927 * t668 - 0.64e2 * t768 * ZA * t790 * t66 - 0.64e2 * t773 * t903 + 0.16e2 * t927 * t937 + 0.16e2 * t666 * t667 * t562;
  t977 = 0.64e2 * t812 * t5 * t924 + 0.8e1 * t639 * t504 + 0.8e1 * t238 * t35 * t118 * t19 + 0.4e1 * t642 * t658 - 0.16e2 * t817 * t437 * t8 - 0.128e3 * t772 * ZB * t80 * t924 + 0.16e2 * t666 * t667 * t13 - 0.4e1 * t301 * t643 - 0.16e2 * t824 * t653 * t8 - 0.4e1 * t642 * t777 - 0.64e2 * t923 * t667 * t268 - 0.16e2 * t666 * t937;

  _PC3A = (t72 + t132 + t169 + t210 + t246 + t298 + t337 + t378 + t409 + t441 + t483 + t512 + t542 + t573 + t600 + t627) / (t682 + t717 + t758 + t809 + t855 + t901 + t943 + t977);
  /****************************************************************************************/
  _PC4A = 0;
  /****************************************************************************************/
  t1   = nx * 0.3141592654e1;
  t2   = t1 * xc;
  t3   = PetscCosReal(t2);
  t4   = nx * nx;
  t6   = nz * 0.3141592654e1;
  t7   = t3 * t4 * t6;
  t8   = ZA * ZB;
  t9   = PetscExpReal(t6);
  t10  = t9 * t9;
  t11  = xc * nz;
  t13  = PetscExpReal(t11 * 0.3141592654e1);
  t14  = t13 * t13;
  t15  = t14 * t13;
  t16  = t14 * t14;
  t17  = t16 * t15;
  t18  = t10 * t17;
  t19  = t8 * t18;
  t22  = PetscSinReal(t2);
  t23  = nx * t22;
  t24  = t23 * nz;
  t25  = ZB * ZB;
  t30  = nz * nz;
  t31  = t30 * nz;
  t32  = t31 * nx;
  t33  = 0.3141592654e1 * 0.3141592654e1;
  t35  = t32 * t22 * t33;
  t36  = ZA * ZA;
  t37  = t36 * xc;
  t38  = t16 * t13;
  t39  = t10 * t38;
  t40  = t37 * t39;
  t43  = PetscSinReal(t1);
  t44  = nx * t43;
  t45  = t30 * 0.3141592654e1;
  t46  = t44 * t45;
  t47  = ZA * xc;
  t49  = ZB * t16 * t9;
  t54  = t4 * nx * t43;
  t55  = xc * xc;
  t57  = t54 * t30 * t55;
  t58  = t33 * 0.3141592654e1;
  t59  = t58 * t25;
  t60  = t16 * t9;
  t61  = t59 * t60;
  t64  = xc * t25;
  t65  = t14 * t9;
  t66  = t64 * t65;
  t70  = t44 * t31 * t33;
  t71  = t37 * t65;
  t74  = t10 * t15;
  t75  = t64 * t74;
  t78  = t25 * t10;
  t83  = t54 * nz * t33;
  t84  = t55 * t25;
  t85  = t10 * t9;
  t86  = t14 * t85;
  t87  = t84 * t86;
  t90  = t30 * t30;
  t92  = t44 * t90 * t58;
  t93  = t55 * xc;
  t94  = t93 * t25;
  t95  = t85 * t16;
  t96  = t94 * t95;
  t102 = t23 * t45;
  t103 = t10 * t10;
  t104 = ZB * t103;
  t106 = t47 * t104 * t15;
  t111 = t54 * 0.3141592654e1;
  t112 = t25 * t85;
  t113 = t112 * t16;
  t115 = t8 * t39;
  t118 = t16 * t14;
  t119 = t85 * t118;
  t120 = t37 * t119;
  t123 = t16 * t16;
  t124 = t36 * t123;
  t125 = t124 * t9;
  t127 = -0.8e1 * t7 * t19 + 0.2e1 * t24 * t25 * t13 * t10 - 0.16e2 * t35 * t40 - 0.16e2 * t46 * t47 * t49 - 0.8e1 * t57 * t61 + 0.4e1 * t46 * t66 + 0.2e1 * t70 * t71 - 0.16e2 * t35 * t75 + 0.6e1 * t24 * t78 * t38 - 0.2e1 * t83 * t87 - 0.8e1 * t92 * t96 - 0.8e1 * t46 * t37 * t95 - 0.12e2 * t102 * t106 + 0.2e1 * t83 * t71 + t111 * t113 + 0.8e1 * t7 * t115 + 0.2e1 * t83 * t120 + t111 * t125;
  t128 = t37 * t74;
  t131 = t44 * nz;
  t133 = t25 * t9 * t118;
  t136 = t36 * t14;
  t137 = t136 * t9;
  t140 = t30 * t4;
  t142 = t140 * t3 * t33;
  t143 = t64 * t39;
  t147 = t30 * nx * t43;
  t148 = 0.3141592654e1 * t36;
  t149 = t9 * t118;
  t153 = t44 * t31 * ZA;
  t154 = t33 * xc;
  t155 = t154 * t49;
  t160 = ZA * t17 * xc * ZB;
  t163 = t103 * t13;
  t164 = t64 * t163;
  t170 = t44 * t90 * t55;
  t171 = t58 * ZB;
  t172 = ZA * t16;
  t174 = t171 * t172 * t9;
  t177 = t36 * t55;
  t178 = t177 * t149;
  t181 = t54 * t11;
  t182 = t33 * t25;
  t186 = t25 * t14;
  t187 = t186 * t9;
  t193 = t186 * t85;
  t198 = ZB * t55;
  t199 = ZA * t103;
  t201 = t198 * t199 * t15;
  t204 = 0.2e1 * t7 * t128 - 0.2e1 * t131 * t133 - 0.2e1 * t131 * t137 + 0.16e2 * t142 * t143 - t147 * t148 * t149 + 0.8e1 * t153 * t155 - 0.4e1 * t7 * t160 + 0.2e1 * t7 * t164 + 0.10e2 * t102 * t40 + 0.16e2 * t170 * t174 + 0.2e1 * t83 * t178 - 0.2e1 * t181 * t182 * t65 - t111 * t187 - 0.2e1 * t70 * t87 + 0.4e1 * t102 * t160 - 0.2e1 * t131 * t193 - 0.16e2 * t142 * t75 + 0.16e2 * t35 * t201;
  t210 = t32 * t22;
  t211 = t33 * t55;
  t212 = t25 * t38;
  t213 = t211 * t212;
  t216 = nz * nx;
  t217 = t22 * t25;
  t222 = ZB * t85 * t16;
  t226 = t23 * t30;
  t227 = t13 * t10;
  t228 = t148 * t227;
  t233 = t37 * t163;
  t237 = nz * t4 * t3;
  t238 = t148 * t74;
  t241 = t64 * t86;
  t245 = t148 * xc * t15;
  t248 = t112 * t118;
  t250 = t22 * t36;
  t256 = 0.3141592654e1 * t25;
  t257 = t256 * t39;
  t262 = t38 * t103;
  t263 = t37 * t262;
  t267 = t148 * t17 * xc;
  t270 = -0.6e1 * t7 * t143 - 0.4e1 * t24 * t19 - 0.8e1 * t210 * t213 - 0.2e1 * t216 * t217 * t15 - 0.32e2 * t153 * t211 * t222 + 0.4e1 * t226 * t228 + 0.16e2 * t142 * t201 + 0.2e1 * t7 * t233 - 0.4e1 * t237 * t238 - 0.2e1 * t83 * t241 - 0.2e1 * t237 * t245 + t111 * t248 + 0.2e1 * t216 * t250 * t15 - 0.2e1 * t131 * t125 - 0.4e1 * t226 * t257 + t147 * t148 * t95 - 0.2e1 * t102 * t263 + 0.2e1 * t237 * t267;
  t273 = t37 * t149;
  t277 = t47 * t104 * t13;
  t285 = t31 * t36;
  t286 = t44 * t285;
  t291 = t25 * t123 * t9;
  t304 = 0.3141592654e1 * xc;
  t305 = t304 * t212;
  t312 = t256 * t18;
  t315 = t8 * t60;
  t319 = t54 * t30 * t58;
  t323 = t90 * t36;
  t324 = t44 * t323;
  t325 = t55 * t58;
  t326 = t325 * t60;
  t329 = 0.2e1 * t102 * t164 + 0.2e1 * t83 * t273 - 0.4e1 * t102 * t277 - 0.2e1 * t7 * t263 + 0.4e1 * t24 * t8 * t17 - 0.4e1 * t286 * t154 * t60 - 0.2e1 * t131 * t291 - t147 * t148 * t119 + 0.2e1 * t24 * t78 * t17 + 0.2e1 * t54 * t85 * 0.3141592654e1 * ZA * ZB - 0.4e1 * t226 * t305 - 0.2e1 * t70 * t66 + t147 * t256 * t95 + 0.4e1 * t237 * t312 + 0.2e1 * t111 * t315 - 0.8e1 * t319 * t96 - t111 * t193 - 0.8e1 * t324 * t326;
  t332 = t8 * t95;
  t335 = t136 * t85;
  t337 = t256 * t227;
  t340 = t177 * t119;
  t346 = t37 * t86;
  t351 = t103 * t15;
  t352 = t177 * t351;
  t355 = t64 * t119;
  t358 = t8 * t227;
  t361 = t85 * 0.3141592654e1;
  t365 = t84 * t39;
  t372 = ZB * t10;
  t373 = t372 * t38;
  t374 = t47 * t373;
  t379 = t177 * t39;
  t384 = -0.2e1 * t46 * t332 + t111 * t335 + 0.4e1 * t237 * t337 - 0.2e1 * t83 * t340 + 0.16e2 * t286 * t211 * t95 + 0.2e1 * t70 * t346 - 0.8e1 * t170 * t61 - 0.8e1 * t142 * t352 - 0.2e1 * t83 * t355 - 0.4e1 * t24 * t358 + 0.2e1 * t147 * t361 * t8 + 0.8e1 * t35 * t365 - 0.2e1 * t226 * t267 + 0.8e1 * t102 * t115 - 0.12e2 * t102 * t374 + 0.16e2 * t142 * t40 - 0.8e1 * t142 * t379 + 0.4e1 * t237 * t228;
  t386 = t54 * t30 * t93;
  t387 = ZA * t85;
  t389 = t171 * t387 * t16;
  t394 = t64 * t60;
  t398 = t304 * t25 * t15;
  t401 = t361 * t25;
  t405 = t84 * t65;
  t410 = t148 * t18;
  t414 = t25 * t16 * t9;
  t417 = t84 * t74;
  t422 = t177 * t86;
  t428 = ZB * t38;
  t429 = t47 * t428;
  t432 = t148 * t39;
  t439 = 0.16e2 * t386 * t389 - 0.16e2 * t386 * t174 + 0.8e1 * t46 * t394 + 0.2e1 * t237 * t398 - t147 * t401 + 0.4e1 * t7 * t374 + 0.2e1 * t83 * t405 - 0.4e1 * t46 * t241 - 0.4e1 * t226 * t410 + 0.2e1 * t131 * t414 + 0.8e1 * t35 * t417 - 0.8e1 * t142 * t365 + 0.2e1 * t70 * t422 - 0.4e1 * t181 * t182 * t60 + 0.12e2 * t102 * t429 - 0.4e1 * t226 * t432 + 0.32e2 * t35 * t374 - 0.4e1 * t7 * t106;
  t442 = t36 * t9 * t118;
  t444 = t123 * t9;
  t445 = t8 * t444;
  t448 = t361 * t36;
  t451 = t47 * t372 * t17;
  t454 = t94 * t60;
  t457 = t25 * t103;
  t465 = t47 * t372 * t15;
  t468 = t36 * t85;
  t469 = t468 * t16;
  t474 = t43 * t85;
  t478 = t8 * t74;
  t484 = t256 * t74;
  t489 = t198 * ZA * t10 * t15;
  t501 = -t111 * t442 + 0.4e1 * t131 * t445 - t147 * t448 + 0.4e1 * t7 * t451 + 0.8e1 * t92 * t454 - 0.2e1 * t24 * t457 * t13 - 0.2e1 * t286 * t211 * t65 + 0.4e1 * t7 * t465 + t111 * t469 - 0.2e1 * t216 * t250 * t17 - 0.2e1 * t216 * t474 * t25 - 0.4e1 * t24 * t478 + 0.4e1 * t24 * t8 * t38 + 0.4e1 * t226 * t484 - 0.16e2 * t142 * t489 - 0.2e1 * t24 * t212 * t103 - 0.2e1 * t216 * t22 * t17 * t25 + 0.2e1 * t70 * t120;
  t504 = t33 * t36 * t55 * t38;
  t507 = t37 * t18;
  t512 = t47 * ZB * t13 * t10;
  t518 = t59 * t95;
  t530 = t84 * t351;
  t534 = t37 * t227;
  t549 = -0.8e1 * t210 * t504 + 0.2e1 * t102 * t507 + 0.4e1 * t7 * t512 + t111 * t133 - 0.16e2 * t35 * t489 + 0.8e1 * t170 * t518 + 0.2e1 * t24 * t36 * t13 * t10 + 0.4e1 * t131 * t387 * ZB + 0.12e2 * t102 * t465 - 0.8e1 * t142 * t530 + t111 * t291 - 0.2e1 * t102 * t534 - 0.4e1 * t70 * t394 - 0.10e2 * t102 * t128 + 0.4e1 * t237 * t305 + 0.8e1 * t102 * t19 + 0.2e1 * t83 * t346 - 0.16e2 * t35 * t128;
  t557 = t468 * t118;
  t562 = t93 * t58;
  t563 = t562 * t60;
  t567 = t44 * t90 * t93;
  t575 = ZA * t55;
  t576 = t575 * t428;
  t583 = t37 * t60;
  t590 = t140 * t3;
  t601 = -0.2e1 * t226 * t398 - 0.2e1 * t70 * t340 - 0.2e1 * t131 * t557 - 0.4e1 * t24 * t115 + 0.8e1 * t324 * t563 + 0.16e2 * t567 * t389 + 0.16e2 * t70 * t84 * t95 + 0.2e1 * t70 * t178 - 0.16e2 * t142 * t576 - 0.4e1 * t237 * t257 - 0.4e1 * t226 * t312 + 0.8e1 * t46 * t583 + 0.2e1 * t24 * t36 * t38 * t103 + 0.8e1 * t590 * t213 + 0.2e1 * t102 * t143 - 0.16e2 * t35 * t143 + 0.2e1 * t131 * t248 + 0.4e1 * t46 * t346;
  t604 = nz * t36;
  t606 = t154 * t95;
  t625 = t36 * t103;
  t640 = t30 * t36;
  t641 = t54 * t640;
  t642 = t325 * t95;
  t647 = -0.4e1 * t131 * t315 - 0.4e1 * t54 * t604 * t606 - t147 * t148 * t60 + 0.16e2 * t35 * t576 - 0.8e1 * t102 * t478 + 0.32e2 * t142 * t465 - 0.4e1 * t237 * t484 - 0.2e1 * t70 * t355 + 0.2e1 * t70 * t273 + 0.2e1 * t102 * t233 - 0.2e1 * t24 * t625 * t13 - 0.8e1 * t7 * t358 - 0.2e1 * t111 * t445 - 0.4e1 * t7 * t429 + 0.16e2 * t46 * t47 * t222 + 0.2e1 * t131 * t113 + 0.8e1 * t641 * t642 - 0.2e1 * t7 * t534;
  t652 = t36 * t16;
  t653 = t652 * t9;
  t655 = t64 * t227;
  t658 = t182 * t95;
  t663 = t562 * t95;
  t684 = t64 * t351;
  t689 = t36 * t10;
  t695 = t154 * t222;
  t698 = -0.4e1 * t216 * t217 * t38 - t111 * t653 - 0.2e1 * t7 * t655 - 0.4e1 * t181 * t658 + 0.2e1 * t131 * t469 - 0.8e1 * t641 * t663 - 0.4e1 * t83 * t583 - 0.2e1 * t83 * t177 * t65 - 0.4e1 * t24 * t457 * t15 + 0.16e2 * t70 * t84 * t60 + 0.8e1 * t57 * t518 - 0.32e2 * t142 * t374 + 0.4e1 * t24 * t8 * t351 + 0.4e1 * t102 * t684 - t147 * t256 * t86 - 0.2e1 * t24 * t689 * t15 - 0.2e1 * t70 * t241 + 0.8e1 * t153 * t695;
  t711 = t575 * t373;
  t717 = t304 * t17 * t25;
  t736 = t177 * t74;
  t739 = 0.2e1 * t226 * t245 - 0.8e1 * t102 * t358 - 0.16e2 * t57 * t389 - 0.2e1 * t102 * t655 + 0.8e1 * t590 * t504 - 0.8e1 * t641 * t326 - 0.16e2 * t35 * t711 - t111 * t557 + t111 * t137 - 0.2e1 * t226 * t717 + 0.8e1 * t102 * t37 * t351 + 0.2e1 * t131 * t335 - 0.4e1 * t131 * t332 - 0.2e1 * t216 * t474 * t36 - 0.2e1 * t111 * t332 + 0.16e2 * t142 * t711 - t147 * t256 * t60 + 0.8e1 * t142 * t736;
  t750 = t64 * t262;
  t763 = t44 * t640;
  t770 = t84 * t119;
  t782 = 0.4e1 * t102 * t512 + 0.8e1 * t142 * t417 + 0.8e1 * t641 * t563 - 0.2e1 * t7 * t507 + 0.2e1 * t7 * t750 - 0.8e1 * t35 * t352 + 0.4e1 * t237 * t410 + 0.4e1 * t7 * t684 - 0.2e1 * t46 * t445 + t147 * t148 * t65 + 0.4e1 * t763 * t304 * t119 + 0.16e2 * t70 * t177 * t60 + 0.2e1 * t70 * t770 - t111 * t414 - 0.16e2 * t567 * t174 - 0.4e1 * t46 * t71 - 0.4e1 * t46 * t355 - 0.4e1 * t7 * t277;
  t797 = t64 * t149;
  t821 = -t54 * t448 + 0.2e1 * t131 * t442 + 0.8e1 * t7 * t478 + 0.8e1 * t35 * t379 - 0.2e1 * t181 * t182 * t149 + 0.2e1 * t70 * t405 + 0.2e1 * t83 * t770 - 0.2e1 * t70 * t797 - 0.6e1 * t7 * t75 - 0.4e1 * t286 * t606 - 0.4e1 * t237 * t432 + t147 * t256 * t149 - 0.4e1 * t763 * t304 * t149 - 0.2e1 * t102 * t75 + 0.2e1 * t237 * t717 + 0.8e1 * t324 * t642 - 0.16e2 * t170 * t389 + 0.2e1 * t83 * t422;
  t827 = t84 * t149;
  t846 = t54 * nz * ZA;
  t854 = t64 * t18;
  t867 = -0.16e2 * t142 * t128 + 0.32e2 * t35 * t465 - 0.2e1 * t83 * t827 + 0.2e1 * t46 * t315 + t147 * t148 * t86 - 0.4e1 * t102 * t451 - 0.8e1 * t226 * t148 * xc * t38 - 0.2e1 * t24 * t689 * t38 + 0.2e1 * t131 * t187 + 0.8e1 * t846 * t155 + 0.8e1 * t35 * t736 + 0.2e1 * t24 * t689 * t17 - 0.2e1 * t7 * t854 + t147 * t256 * t119 + 0.2e1 * t102 * t854 - 0.8e1 * t35 * t530 + 0.4e1 * t46 * t797 + 0.2e1 * t102 * t750;
  t909 = -0.8e1 * t324 * t663 + t147 * t256 * t444 - t147 * t256 * t65 + 0.4e1 * t226 * t238 + 0.2e1 * t7 * t40 - t54 * t401 + 0.16e2 * t57 * t174 + 0.4e1 * t226 * t337 + 0.4e1 * t24 * t8 * t163 + 0.8e1 * t846 * t695 + 0.8e1 * t319 * t454 + 0.2e1 * t131 * t653 - 0.8e1 * t46 * t64 * t95 + 0.6e1 * t24 * t78 * t15 - 0.4e1 * t44 * t31 * xc * t658 - 0.32e2 * t153 * t211 * t49 - 0.2e1 * t70 * t827 + t147 * t148 * t444;
  t914 = t25 * ZB;
  t915 = t33 * t914;
  t919 = t4 * t4;
  t920 = t16 * t919;
  t929 = t123 * t90;
  t932 = t919 * t103;
  t935 = t33 * ZB;
  t939 = t652 * t919;
  t942 = t16 * t30;
  t943 = t942 * t4;
  t949 = t103 * t16;
  t950 = t949 * t90;
  t953 = -0.2e1 * t915 * t103 * t90 + 0.2e1 * t915 * t920 - 0.2e1 * t915 * t123 * t919 + 0.2e1 * t915 * t16 * t90 - 0.2e1 * t915 * t929 - 0.2e1 * t915 * t932 - 0.2e1 * t935 * t323 * t123 + 0.2e1 * t935 * t939 + 0.4e1 * t915 * t943 + 0.4e1 * t182 * t172 * t90 + 0.2e1 * t915 * t950;
  t954  = t171 * t36;
  t955  = t90 * nz;
  t956  = xc * t955;
  t957  = t118 * t10;
  t964  = t33 * t33;
  t965  = t964 * ZB;
  t966  = t965 * t640;
  t967  = t10 * t919;
  t968  = t55 * t16;
  t969  = t967 * t968;
  t972  = t935 * t36;
  t974  = t103 * t30 * t4;
  t977  = xc * t16;
  t978  = t967 * t977;
  t981  = t90 * t30;
  t983  = t16 * t10;
  t987  = t182 * ZA;
  t988  = t4 * t10;
  t992  = t171 * t604;
  t993  = xc * t14;
  t994  = t932 * t993;
  t997  = t182 * t30;
  t1005 = t171 * t285;
  t1006 = t988 * t993;
  t1009 = t58 * t914;
  t1010 = t1009 * t31;
  t1013 = 0.8e1 * t954 * t956 * t957 + 0.2e1 * t915 * t932 * t16 + 0.32e2 * t966 * t969 - 0.4e1 * t972 * t974 - 0.32e2 * t966 * t978 + 0.32e2 * t965 * t981 * t177 * t983 - 0.32e2 * t987 * t942 * t988 + 0.8e1 * t992 * t994 + 0.8e1 * t997 * t949 * ZA * t4 - 0.2e1 * t935 * t124 * t919 - 0.16e2 * t1005 * t1006 + 0.16e2 * t1010 * t1006;
  t1015 = t964 * t25;
  t1016 = ZA * t30;
  t1017 = t1015 * t1016;
  t1020 = t967 * t993;
  t1031 = t1009 * t118;
  t1032 = t31 * t10;
  t1040 = t964 * t914;
  t1041 = t1040 * t90;
  t1044 = t55 * t10 * t4 * t16;
  t1047 = t1040 * t30;
  t1050 = t123 * ZA;
  t1054 = t977 * t988;
  t1057 = 0.64e2 * t1017 * t978 - 0.8e1 * t992 * t1020 + 0.2e1 * t972 * t950 + 0.4e1 * t182 * t929 * ZA + 0.4e1 * t182 * t199 * t90 - 0.16e2 * t1031 * t1032 * t4 * xc + 0.4e1 * t182 * t172 * t919 + 0.64e2 * t1041 * t1044 + 0.32e2 * t1047 * t969 + 0.4e1 * t182 * t1050 * t919 - 0.64e2 * t1041 * t1054;
  t1058 = t1009 * nz;
  t1063 = t932 * ZA;
  t1069 = t123 * t30 * t4;
  t1080 = t993 * t103 * t4;
  t1088 = t935 * t103;
  t1094 = -0.8e1 * t1058 * t994 - 0.32e2 * t1047 * t978 + 0.4e1 * t182 * t1063 - 0.4e1 * t915 * t974 - 0.4e1 * t915 * t1069 - 0.2e1 * t935 * t625 * t90 - 0.8e1 * t1009 * t10 * t14 * t955 - 0.16e2 * t1010 * t1080 - 0.2e1 * t935 * t625 * t919 - 0.64e2 * t1017 * t969 + 0.2e1 * t1088 * t939 + 0.8e1 * t1009 * t957 * t955;
  t1113 = t955 * t118 * xc;
  t1120 = t4 * t118;
  t1125 = t981 * xc;
  t1133 = nz * t10;
  t1140 = -0.8e1 * t954 * t955 * t10 * t993 + 0.2e1 * t935 * t652 * t90 - 0.64e2 * t1015 * t981 * t575 * t983 + 0.8e1 * t182 * t103 * t1016 * t4 + 0.8e1 * t1009 * t1113 + 0.16e2 * t954 * t1032 * t4 * t14 - 0.16e2 * t954 * t1032 * t1120 + 0.64e2 * t1015 * t10 * t172 * t1125 + 0.8e1 * t171 * t103 * t136 * t956 - 0.8e1 * t1031 * t1133 * t919 * xc + 0.8e1 * t1058 * t1020;
  t1153 = xc * t118;
  t1165 = t182 * t16;
  t1170 = t171 * t10;
  t1178 = ZA * t90;
  t1182 = 0.4e1 * t1088 * t652 * t140 + 0.8e1 * t954 * t1133 * t919 * t14 + 0.4e1 * t972 * t943 - 0.4e1 * t972 * t1069 - 0.16e2 * t954 * t31 * t4 * t1153 - 0.8e1 * t954 * nz * t919 * t1153 - 0.8e1 * t954 * t1133 * t919 * t118 + 0.4e1 * t1165 * t1063 + 0.16e2 * t1005 * t1080 - 0.8e1 * t1170 * t118 * t36 * t955 - 0.16e2 * t987 * t920 * t10 - 0.16e2 * t1165 * t1178 * t10;
  t1195 = t1040 * t981;
  t1199 = t1009 * t955;
  t1203 = t1009 * t10;
  t1211 = t965 * t323;
  t1225 = -0.32e2 * t965 * t10 * t652 * t1125 + 0.4e1 * t915 * t16 * t974 + 0.4e1 * t182 * t90 * t949 * ZA + 0.32e2 * t1195 * t968 * t10 - 0.8e1 * t1199 * t993 * t103 + 0.8e1 * t1203 * t118 * nz * t919 + 0.8e1 * t1170 * t136 * t955 + 0.64e2 * t1211 * t1044 + 0.16e2 * t1031 * t1032 * t4 + 0.8e1 * t987 * t943 + 0.8e1 * t1199 * t993 * t10 + 0.8e1 * t997 * t1050 * t4;
  t1263 = -0.128e3 * t1015 * t1178 * t1044 + 0.16e2 * t1005 * t988 * t1153 + 0.8e1 * t1058 * t1153 * t919 + 0.16e2 * t1010 * t1120 * xc - 0.8e1 * t954 * t1113 - 0.8e1 * t1203 * t14 * nz * t919 - 0.16e2 * t1203 * t14 * t31 * t4 - 0.8e1 * t1203 * t1113 - 0.32e2 * t1195 * t977 * t10 - 0.64e2 * t1211 * t1054 + 0.8e1 * t992 * t967 * t1153 + 0.128e3 * t1015 * t983 * t90 * t4 * t47;

  _PC1B = (t127 + t204 + t270 + t329 + t384 + t439 + t501 + t549 + t601 + t647 + t698 + t739 + t782 + t821 + t867 + t909) / (t953 + t1013 + t1057 + t1094 + t1140 + t1182 + t1225 + t1263);
  /****************************************************************************************/
  t1   = nz * nz;
  t2   = t1 * nz;
  t3   = nx * t2;
  t4   = 0.3141592654e1 * ZA;
  t5   = t3 * t4;
  t6   = nx * 0.3141592654e1;
  t7   = t6 * xc;
  t8   = PetscSinReal(t7);
  t9   = t8 * ZB;
  t10  = nz * 0.3141592654e1;
  t11  = PetscExpReal(t10);
  t12  = t11 * t11;
  t15  = PetscExpReal(xc * nz * 0.3141592654e1);
  t16  = t15 * t15;
  t17  = t16 * t16;
  t18  = t17 * t15;
  t19  = t12 * t18;
  t23  = t1 * t1;
  t24  = nx * t23;
  t25  = ZB * ZB;
  t27  = t18 * t8;
  t28  = 0.3141592654e1 * 0.3141592654e1;
  t29  = xc * xc;
  t30  = t28 * t29;
  t34  = t1 * xc;
  t35  = 0.3141592654e1 * ZB;
  t36  = t34 * t35;
  t37  = PetscCosReal(t7);
  t38  = ZA * t37;
  t39  = nx * nx;
  t40  = t39 * t12;
  t41  = t16 * t15;
  t43  = t38 * t40 * t41;
  t46  = t25 * nz;
  t47  = t46 * 0.3141592654e1;
  t48  = t39 * nx;
  t49  = PetscSinReal(t6);
  t50  = t48 * t49;
  t51  = t12 * t11;
  t52  = t51 * t17;
  t53  = t50 * t52;
  t56  = t34 * 0.3141592654e1 * t25;
  t57  = t37 * t39;
  t58  = t17 * t41;
  t59  = t12 * t58;
  t60  = t57 * t59;
  t63  = t25 * t18;
  t64  = t57 * nz;
  t67  = ZA * ZA;
  t68  = t67 * nz;
  t69  = 0.3141592654e1 * t48;
  t70  = t68 * t69;
  t71  = t49 * xc;
  t72  = t17 * t16;
  t73  = t11 * t72;
  t74  = t71 * t73;
  t77  = t1 * t67;
  t78  = t77 * 0.3141592654e1;
  t81  = nx * t25;
  t82  = t81 * t49;
  t83  = t17 * t17;
  t85  = t1 * t83 * t11;
  t87  = nx * ZB;
  t88  = t8 * t2;
  t89  = t87 * t88;
  t90  = 0.3141592654e1 * xc;
  t91  = t12 * t12;
  t92  = ZA * t91;
  t97  = ZB * ZA;
  t98  = t97 * t37;
  t99  = t39 * nz;
  t100 = t12 * t41;
  t104 = 0.8e1 * t5 * t9 * t19 + 0.8e1 * t24 * t25 * t27 * t30 + 0.12e2 * t36 * t43 - t47 * t53 - 0.2e1 * t56 * t60 - 0.4e1 * t63 * t64 + 0.6e1 * t70 * t74 + 0.4e1 * t78 * t60 - t82 * t85 + 0.4e1 * t89 * t90 * t92 * t41 + 0.4e1 * t98 * t99 * t100;
  t105 = t67 * t48;
  t106 = t49 * t51;
  t107 = t106 * t72;
  t109 = t1 * 0.3141592654e1;
  t110 = t109 * xc;
  t115 = nx * t67;
  t116 = t115 * t49;
  t117 = t1 * t16;
  t118 = t117 * t11;
  t120 = t2 * t25;
  t121 = t28 * 0.3141592654e1;
  t122 = t121 * t29;
  t123 = t120 * t122;
  t129 = t1 * ZB;
  t130 = t129 * t4;
  t131 = t57 * t100;
  t134 = t12 * t16;
  t136 = t109 * t39;
  t139 = ZB * t18;
  t141 = t39 * t1;
  t142 = t141 * t90;
  t145 = t77 * t90;
  t146 = t91 * t41;
  t147 = t57 * t146;
  t151 = t25 * t39 * t1;
  t152 = t72 * t12;
  t156 = t49 * t2;
  t158 = t83 * t11;
  t162 = -t105 * t107 + 0.8e1 * t110 * t72 * t25 * t39 - t116 * t118 + 0.8e1 * t123 * t53 + 0.8e1 * t5 * t9 * t59 - 0.8e1 * t130 * t131 - 0.8e1 * t134 * t25 * t136 - 0.12e2 * t139 * t38 * t142 - 0.8e1 * t145 * t147 - 0.8e1 * t151 * t90 * t152 - 0.2e1 * t87 * t156 * t4 * t158;
  t164 = t115 * t88;
  t165 = t90 * t19;
  t168 = t25 * t48;
  t169 = t49 * t16;
  t170 = t169 * t11;
  t174 = ZA * nz * t69;
  t175 = ZB * t51;
  t176 = t175 * t17;
  t177 = t71 * t176;
  t180 = t1 * t29;
  t181 = t28 * t25;
  t182 = t180 * t181;
  t183 = t50 * t73;
  t186 = ZA * t1;
  t187 = t28 * t48;
  t188 = t186 * t187;
  t189 = ZB * t17;
  t190 = t189 * t11;
  t191 = t71 * t190;
  t194 = t50 * t158;
  t196 = t115 * t156;
  t197 = t90 * t73;
  t201 = t49 * t17 * t11;
  t204 = t88 * t90;
  t207 = t68 * 0.3141592654e1;
  t208 = t17 * t11;
  t209 = t50 * t208;
  t211 = -0.2e1 * t164 * t165 - t168 * t170 + t168 * t107 + 0.8e1 * t174 * t177 + 0.2e1 * t182 * t183 + 0.8e1 * t188 * t191 + t47 * t194 - 0.6e1 * t196 * t197 - t168 * t201 - 0.4e1 * t81 * t18 * t204 - t207 * t209;
  t212 = t2 * 0.3141592654e1;
  t213 = t212 * t52;
  t215 = t81 * t8;
  t216 = t212 * t59;
  t219 = t3 * t90;
  t220 = t25 * t8;
  t221 = t18 * t91;
  t225 = t71 * t52;
  t231 = t16 * t51;
  t232 = t50 * t231;
  t237 = ZA * t12;
  t243 = t67 * t28;
  t244 = t24 * t243;
  t245 = t71 * t231;
  t249 = -t116 * t213 - 0.4e1 * t215 * t216 + 0.2e1 * t219 * t220 * t221 - 0.4e1 * t70 * t225 + 0.4e1 * t98 * t99 * t146 + t47 * t232 - 0.2e1 * t145 * t57 * t221 + 0.4e1 * t89 * t90 * t237 * t41 - t105 * t201 - 0.6e1 * t244 * t245 + t105 * t170;
  t252 = t25 * t37;
  t253 = t252 * t39;
  t255 = nz * t15 * t12;
  t258 = t2 * t29;
  t259 = ZB * t28;
  t260 = t258 * t259;
  t263 = t106 * t17;
  t265 = xc * t25;
  t269 = t25 * t49;
  t270 = t269 * t52;
  t273 = t1 * t25;
  t274 = t273 * 0.3141592654e1;
  t275 = t57 * t19;
  t278 = t24 * t30;
  t288 = t1 * t11 * t72;
  t290 = t212 * t208;
  t292 = t2 * xc;
  t296 = 0.2e1 * t253 * t255 + 0.16e2 * t260 * t43 + t105 * t263 - 0.4e1 * t10 * t265 * t53 + 0.4e1 * t219 * t270 - 0.12e2 * t274 * t275 + 0.8e1 * t278 * t270 - 0.2e1 * ZB * nz * t69 * t49 * ZA * t158 - t82 * t288 - t116 * t290 + 0.16e2 * t292 * t243 * t275;
  t301 = t50 * t176;
  t304 = t51 * t72;
  t305 = t71 * t304;
  t308 = t25 * t41;
  t311 = ZA * t48;
  t312 = t311 * t49;
  t317 = t91 * t15;
  t318 = t57 * t317;
  t321 = t81 * t88;
  t322 = t90 * t59;
  t325 = t212 * t231;
  t327 = t15 * t12;
  t328 = t57 * t327;
  t331 = t77 * t187;
  t334 = t2 * ZA;
  t335 = t334 * t122;
  t336 = t50 * t190;
  t339 = 0.8e1 * t151 * t90 * t134 + 0.16e2 * t186 * t30 * t301 - 0.2e1 * t70 * t305 + 0.2e1 * t308 * t64 - 0.2e1 * t312 * ZB * t83 * t11 + 0.2e1 * t56 * t318 + 0.2e1 * t321 * t322 - t116 * t325 - 0.4e1 * t274 * t328 + 0.2e1 * t331 * t305 - 0.16e2 * t335 * t336;
  t341 = t169 * t51;
  t344 = t49 * t11 * t72;
  t346 = t77 * t30;
  t347 = t50 * t304;
  t350 = t25 * t51;
  t352 = nx * ZA;
  t353 = t49 * t23;
  t354 = t352 * t353;
  t355 = t28 * xc;
  t362 = t25 * t91;
  t365 = t23 * nz;
  t366 = nx * t365;
  t367 = t366 * t122;
  t368 = ZB * t49;
  t369 = ZA * t51;
  t370 = t369 * t17;
  t371 = t368 * t370;
  t374 = t115 * t353;
  t375 = t355 * t73;
  t381 = t105 * t341 - t105 * t344 - 0.2e1 * t346 * t347 - t350 * t50 - 0.8e1 * t354 * t355 * t176 - 0.4e1 * t98 * t99 * t317 - 0.2e1 * t362 * t99 - 0.16e2 * t367 * t371 + 0.6e1 * t374 * t375 - 0.8e1 * t182 * t53 - t82 * t290;
  t382 = t71 * t208;
  t394 = t2 * t67;
  t395 = t394 * t122;
  t398 = t352 * t156;
  t402 = t17 * t12;
  t403 = t39 * ZA;
  t404 = t402 * t403;
  t407 = t269 * t208;
  t411 = t49 * t83 * t11;
  t413 = t46 * t69;
  t419 = -0.4e1 * t331 * t382 + 0.2e1 * t115 * t58 * t204 - 0.2e1 * t145 * t60 + 0.12e2 * t274 * t131 + 0.2e1 * t346 * t232 + 0.8e1 * t395 * t53 - 0.8e1 * t398 * t90 * t176 - 0.64e2 * t260 * t404 + 0.4e1 * t219 * t407 + t168 * t411 - 0.6e1 * t413 * t74 - 0.2e1 * t110 * t308 * t57;
  t424 = t16 * t11;
  t425 = t212 * t424;
  t427 = t258 * t181;
  t430 = t67 * t29;
  t431 = t366 * t430;
  t432 = t121 * t49;
  t433 = t432 * t52;
  t436 = nz * t12;
  t437 = t436 * t18;
  t440 = t29 * xc;
  t441 = t440 * t121;
  t442 = t394 * t441;
  t445 = t67 * t37;
  t446 = t445 * t39;
  t448 = nz * t18 * t91;
  t453 = t352 * t49;
  t458 = t8 * t23;
  t462 = t81 * t458;
  t463 = t30 * t19;
  t466 = -t47 * t209 + t116 * t425 - 0.8e1 * t427 * t275 + 0.8e1 * t431 * t433 - 0.2e1 * t253 * t437 - 0.8e1 * t442 * t53 - 0.2e1 * t446 * t448 + 0.2e1 * t175 * t312 + 0.6e1 * t453 * t129 * t208 + 0.8e1 * t115 * t18 * t458 * t30 + 0.8e1 * t462 * t463;
  t470 = t436 * t58;
  t475 = t2 * t121 * t440 * t25;
  t485 = t212 * t73;
  t488 = t67 * t72 * t1;
  t490 = t39 * xc;
  t501 = 0.4e1 * t374 * t355 * t52 + 0.2e1 * t446 * t470 - 0.8e1 * t475 * t53 - 0.2e1 * t446 * t437 - 0.4e1 * t36 * t38 * t39 * t15 * t12 - t116 * t485 + 0.8e1 * t488 * 0.3141592654e1 * t12 * t490 - t207 * t183 - 0.2e1 * t182 * t232 - 0.6e1 * t413 * t245 - 0.4e1 * t413 * t382;
  t503 = t115 * t8;
  t510 = t355 * t19;
  t513 = t432 * t208;
  t525 = t38 * t40 * t18;
  t533 = -0.4e1 * t503 * t216 - 0.4e1 * t89 * t90 * t92 * t15 - 0.16e2 * t462 * t510 + 0.8e1 * t431 * t513 - 0.4e1 * t78 * t131 + t47 * t183 - 0.2e1 * t67 * t83 * t99 + 0.4e1 * t331 * t225 + 0.16e2 * t260 * t525 - 0.4e1 * t89 * t90 * t237 * t58 - t207 * t53;
  t536 = t28 * t37;
  t538 = t490 * t100;
  t541 = t334 * t441;
  t547 = t394 * t30;
  t550 = t212 * t19;
  t553 = t366 * t441;
  t556 = nz * t17;
  t571 = -0.8e1 * t427 * t131 + 0.16e2 * t394 * t536 * t538 + 0.16e2 * t541 * t336 + 0.2e1 * t453 * t129 * t158 - 0.8e1 * t547 * t147 + 0.4e1 * t503 * t550 - 0.8e1 * t553 * t270 + 0.4e1 * t556 * ZB * t92 * t39 - 0.2e1 * t67 * t91 * t99 - t82 * t425 + 0.4e1 * t78 * t275 + 0.2e1 * t78 * xc * t41 * t57;
  t583 = t90 * t317;
  t594 = t212 * t158;
  t596 = t152 * t67;
  t602 = t67 * t17;
  t607 = 0.8e1 * t367 * t407 - 0.4e1 * t98 * t99 * t59 + 0.16e2 * t260 * t18 * ZA * t57 + 0.2e1 * t321 * t583 - 0.6e1 * t174 * t368 * t52 - 0.4e1 * t89 * t90 * ZA * t15 * t12 + t116 * t594 - 0.8e1 * t596 * t136 - 0.4e1 * t98 * t99 * t327 + 0.2e1 * t602 * t99 + 0.2e1 * t164 * t583;
  t613 = t83 * t25;
  t616 = t81 * t156;
  t627 = t90 * t231;
  t630 = t91 * t16;
  t638 = 0.4e1 * t196 * t90 * t208 - 0.8e1 * t130 * t60 - 0.2e1 * t613 * t99 + 0.6e1 * t616 * t197 - 0.8e1 * t547 * t131 + 0.8e1 * t67 * t18 * t37 * t142 + 0.2e1 * t145 * t328 - 0.6e1 * t196 * t627 + 0.8e1 * t630 * t67 * t142 - 0.8e1 * t547 * t275 + 0.8e1 * t395 * t209;
  t643 = t77 * t355;
  t648 = t115 * t458;
  t651 = t134 * t67;
  t657 = t30 * t304;
  t660 = t30 * t146;
  t665 = t25 * t17;
  t668 = t50 * t424;
  t671 = -0.4e1 * t321 * t90 * t146 - 0.6e1 * t643 * t232 + 0.8e1 * t182 * t209 - 0.16e2 * t648 * t510 + 0.8e1 * t651 * t136 + 0.8e1 * t89 * t4 * t100 - 0.2e1 * t374 * t657 - 0.8e1 * t648 * t660 + 0.8e1 * t130 * t328 + 0.2e1 * t665 * t99 + 0.2e1 * t346 * t668;
  t672 = t90 * t424;
  t676 = t120 * t536;
  t680 = t436 * t41;
  t688 = t366 * t67 * t440;
  t696 = xc * t12;
  t697 = t696 * t18;
  t701 = t252 * t141;
  t702 = t90 * t221;
  t705 = 0.2e1 * t196 * t672 - t47 * t347 + 0.16e2 * t676 * t538 - t116 * t85 - 0.2e1 * t253 * t680 + t207 * t194 + 0.4e1 * t98 * t99 * t19 - 0.8e1 * t688 * t433 + 0.16e2 * t541 * t301 - 0.6e1 * t312 * t190 + 0.4e1 * t352 * t88 * t35 * t697 + 0.2e1 * t701 * t702;
  t712 = t24 * t430;
  t713 = t28 * t49;
  t721 = t1 * t17 * t11;
  t726 = ZB * xc;
  t737 = nz * t91;
  t741 = 0.8e1 * t346 * t209 + 0.2e1 * t712 * t713 * t424 + 0.8e1 * t130 * t275 - t47 * t668 + t116 * t721 - 0.8e1 * t688 * t513 + 0.4e1 * t352 * t27 * t212 * t726 + 0.8e1 * t648 * t463 + 0.4e1 * t274 * t60 - 0.4e1 * t374 * t355 * t208 - 0.4e1 * t253 * t737 * t41;
  t745 = t269 * t231;
  t749 = t1 * t28 * t265;
  t757 = t16 * t39;
  t758 = t696 * t757;
  t762 = t69 * t49;
  t772 = t355 * t100;
  t775 = t81 * t353;
  t778 = -0.8e1 * t398 * t90 * t190 - 0.2e1 * t278 * t745 + 0.4e1 * t749 * t53 + 0.32e2 * t394 * t29 * t28 * t17 * t40 - 0.8e1 * t78 * t758 + t350 * nz * t762 - 0.6e1 * t87 * t49 * t186 * t52 - 0.8e1 * t553 * t407 - 0.4e1 * t749 * t209 + 0.16e2 * t648 * t772 - 0.6e1 * t775 * t375;
  t790 = t212 * t304;
  t793 = t156 * 0.3141592654e1;
  t795 = t355 * t304;
  t800 = t91 * t39;
  t801 = t800 * nz;
  t807 = t2 * t28;
  t808 = t807 * t726;
  t811 = -0.2e1 * t616 * t672 - 0.2e1 * t446 * t680 - 0.2e1 * t78 * xc * t58 * t57 + 0.8e1 * t367 * t270 - t82 * t790 + t115 * t51 * t793 - 0.2e1 * t775 * t795 + 0.8e1 * t123 * t209 + 0.2e1 * t665 * t801 - 0.2e1 * t67 * t41 * t64 - 0.32e2 * t808 * t43;
  t812 = t117 * t51;
  t821 = t24 * t355;
  t827 = t90 * t304;
  t840 = t800 * t41;
  t844 = -t116 * t812 - 0.2e1 * t110 * t25 * t58 * t57 - 0.4e1 * t78 * t328 + t82 * t485 - 0.4e1 * t821 * t407 + 0.4e1 * t196 * t90 * t52 + 0.2e1 * t196 * t827 + t82 * t325 + 0.2e1 * t253 * t448 - 0.32e2 * t402 * t67 * t807 * t490 - t207 * t232 + 0.12e2 * t186 * t90 * ZB * t37 * t840;
  t849 = t1 * t51;
  t850 = t849 * t17;
  t860 = t269 * t424;
  t863 = t273 * t187;
  t874 = 0.16e2 * t462 * t772 - t116 * t850 + 0.16e2 * t553 * t371 + t116 * t288 - 0.12e2 * t97 * t57 * t109 * t697 + t82 * t594 - 0.2e1 * t278 * t860 - 0.2e1 * t863 * t305 - 0.16e2 * t180 * t259 * t311 * t201 - 0.6e1 * t863 * t74 + 0.8e1 * t174 * t191;
  t879 = xc * ZA;
  t888 = t67 * t51;
  t901 = ZA * t17;
  t903 = t368 * t901 * t11;
  t908 = -0.2e1 * t352 * t51 * t156 * t35 + 0.64e2 * t879 * t189 * t807 * t40 + 0.2e1 * t46 * t58 * t37 * t39 - t888 * t50 + t105 * t411 - 0.16e2 * t335 * t301 + 0.8e1 * t152 * t25 * t136 - 0.8e1 * t278 * t407 + 0.2e1 * t712 * t713 * t231 - 0.16e2 * t367 * t903 + 0.2e1 * t145 * t318;
  t923 = t71 * t424;
  t926 = t87 * t458;
  t927 = t28 * ZA;
  t944 = 0.8e1 * t354 * t355 * t190 - 0.8e1 * t110 * t16 * t25 * t800 - 0.2e1 * t374 * t30 * t73 - 0.16e2 * t354 * t30 * t176 - 0.2e1 * t244 * t923 - 0.32e2 * t926 * t927 * t696 * t41 - 0.32e2 * t808 * t525 + 0.6e1 * t749 * t232 - 0.8e1 * t188 * t177 + 0.4e1 * t36 * t58 * ZA * t57 + 0.4e1 * t821 * t270;
  t948 = t90 * t327;
  t961 = t30 * t100;
  t964 = t29 * t49;
  t981 = t106 * t1;
  t983 = -0.2e1 * t219 * t220 * t100 + 0.2e1 * t321 * t948 - 0.16e2 * t189 * ZA * t99 * t12 - 0.2e1 * t369 * nz * t69 * t368 + 0.2e1 * t374 * t795 - 0.8e1 * t462 * t961 - 0.8e1 * t244 * t964 * t208 + 0.2e1 * t413 * t923 + 0.4e1 * t36 * t38 * t40 * t58 - 0.2e1 * t87 * t51 * t49 * t1 * ZA + t888 * nz * t762 + t115 * t981;
  t1012 = 0.6e1 * t616 * t627 - t82 * t213 + 0.2e1 * t775 * t657 - 0.12e2 * t215 * t550 - 0.6e1 * t145 * t131 + 0.2e1 * t81 * t41 * t204 + 0.6e1 * ZB * t48 * t49 * t370 - 0.4e1 * t70 * t382 + 0.2e1 * t446 * t255 + 0.8e1 * t89 * t4 * t327 - 0.4e1 * t56 * t147;
  t1018 = t212 * t100;
  t1029 = t212 * t327;
  t1040 = 0.6e1 * t70 * t245 + 0.2e1 * t56 * t328 + t207 * t668 + 0.4e1 * t503 * t1018 + 0.2e1 * t253 * t470 - 0.6e1 * t398 * t35 * t208 - 0.8e1 * t331 * t964 * t52 - 0.4e1 * t503 * t1029 + 0.6e1 * t821 * t745 + 0.4e1 * t63 * t37 * t142 + 0.16e2 * t260 * t38 * t840;
  t1068 = t207 * t347 - 0.2e1 * t164 * t702 - 0.2e1 * t331 * t964 * t73 + 0.8e1 * t374 * t30 * t52 + 0.16e2 * t278 * t903 + 0.2e1 * t863 * t923 + 0.6e1 * t445 * t141 * t165 - 0.2e1 * t164 * t90 * t100 + 0.6e1 * t331 * t74 - 0.2e1 * t182 * t668 - 0.2e1 * t115 * t41 * t204;
  t1079 = t58 * t8;
  t1091 = t807 * t29;
  t1092 = t665 * t40;
  t1101 = ZB * t91;
  t1102 = t403 * nz;
  t1105 = -0.4e1 * t58 * ZB * ZA * t64 - t82 * t850 + 0.2e1 * t821 * t860 + t81 * t51 * t793 + 0.2e1 * t3 * t25 * t1079 * t90 + t82 * t721 - 0.2e1 * t643 * t668 + 0.16e2 * t926 * t927 * t29 * t91 * t41 + 0.32e2 * t1091 * t1092 - 0.2e1 * t219 * t220 * t19 + 0.4e1 * t139 * ZA * t64 + 0.4e1 * t1101 * t1102;
  t1108 = t849 * t72;
  t1121 = t737 * t15;
  t1124 = t29 * t12;
  t1133 = t116 * t1108 - 0.8e1 * t475 * t209 - 0.32e2 * t807 * xc * t1092 + 0.2e1 * t278 * t269 * t73 + t82 * t812 - 0.6e1 * t56 * t131 + 0.2e1 * t253 * t1121 + 0.16e2 * t926 * t927 * t1124 * t41 + t168 * t263 - 0.2e1 * t616 * t827 + t81 * t981;
  t1134 = t394 * t28;
  t1159 = -0.8e1 * t1134 * t29 * t18 * t57 + t82 * t118 - 0.12e2 * t215 * t1018 + 0.2e1 * t602 * t801 - t168 * t341 + 0.2e1 * t67 * t58 * t64 + t168 * t344 - 0.6e1 * t174 * t368 * t208 + 0.16e2 * t553 * t903 + t116 * t790 - 0.4e1 * t36 * t38 * t800 * t15;
  t1161 = nz * t83;
  t1173 = ZB * t12;
  t1196 = 0.4e1 * t1161 * ZB * t39 * ZA - 0.4e1 * t215 * t1029 - 0.8e1 * t488 * 0.3141592654e1 * t39 * xc + 0.32e2 * t821 * ZA * t8 * t1173 * t18 - 0.8e1 * t427 * t147 + 0.6e1 * t701 * t165 - 0.16e2 * t926 * t927 * t1124 * t18 - 0.8e1 * t1091 * t63 * t57 - 0.8e1 * t442 * t209 - 0.8e1 * t462 * t660 - 0.6e1 * t398 * t35 * t52;
  t1228 = 0.2e1 * t413 * t305 - 0.8e1 * t648 * t961 - 0.16e2 * t87 * t27 * t23 * t28 * ZA * t29 + 0.4e1 * t189 * t1102 - 0.4e1 * t87 * t1079 * t212 * t879 + 0.2e1 * t164 * t948 - 0.2e1 * t70 * t923 + 0.2e1 * t164 * t322 + 0.2e1 * t446 * t1121 + 0.2e1 * t863 * t964 * t304 - t82 * t1108 + 0.16e2 * t676 * t490 * t19;
  t1234 = t25 * ZB;
  t1235 = t1234 * t28;
  t1236 = t365 * t91;
  t1240 = ZB * t121;
  t1241 = t1240 * t77;
  t1242 = t39 * t39;
  t1243 = t12 * t1242;
  t1244 = xc * t72;
  t1245 = t1243 * t1244;
  t1248 = t365 * t25;
  t1252 = t243 * nz;
  t1257 = t23 * t1;
  t1258 = t1240 * t1257;
  t1259 = t67 * t12;
  t1260 = xc * t16;
  t1268 = t1234 * t121;
  t1269 = t1268 * t23;
  t1272 = t1242 * t91;
  t1280 = t67 * xc;
  t1284 = t28 * t28;
  t1285 = t67 * t1284;
  t1287 = t1285 * t2 * ZB;
  t1288 = t17 * xc;
  t1289 = t1243 * t1288;
  t1292 = 0.2e1 * t1235 * t1236 * t17 + 0.8e1 * t1241 * t1245 + 0.4e1 * t927 * t1248 * t91 - 0.2e1 * t1252 * ZB * t1242 * t91 - 0.8e1 * t1258 * t1259 * t1260 - 0.4e1 * t1235 * t2 * t83 * t39 + 0.16e2 * t1269 * t758 + 0.2e1 * t1252 * t189 * t1272 - 0.2e1 * t1252 * t83 * t1242 * ZB + 0.8e1 * t1258 * t630 * t1280 - 0.32e2 * t1287 * t1289;
  t1293 = t365 * t83;
  t1300 = ZA * t1284;
  t1304 = t17 * t1242 * t25 * t12;
  t1307 = t927 * t2;
  t1311 = t23 * t2;
  t1312 = t1300 * t1311;
  t1316 = t1234 * t1284;
  t1317 = t1316 * t1311;
  t1321 = t1240 * t23;
  t1331 = t1240 * t23 * t67;
  t1332 = t40 * t1244;
  t1338 = t1243 * t1260;
  t1344 = -0.2e1 * t1235 * t1293 - 0.16e2 * t181 * t365 * t901 * t12 - 0.64e2 * t1300 * t258 * t1304 + 0.8e1 * t1307 * t613 * t39 + 0.64e2 * t1312 * t265 * t402 - 0.32e2 * t1317 * t1288 * t12 - 0.16e2 * t1321 * t67 * t39 * t1244 + 0.2e1 * t1235 * nz * t1272 * t17 + 0.16e2 * t1331 * t1332 + 0.64e2 * t1300 * t292 * t1304 - 0.8e1 * t1241 * t1338 - 0.2e1 * t243 * t1293 * ZB;
  t1346 = t1316 * t2;
  t1349 = t927 * nz;
  t1350 = t25 * t1242;
  t1354 = t1268 * t1257;
  t1366 = t1268 * t1;
  t1370 = t29 * t17;
  t1371 = t1243 * t1370;
  t1386 = -0.32e2 * t1346 * t1289 + 0.4e1 * t1349 * t1350 * t91 + 0.8e1 * t1354 * t1260 * t12 - 0.16e2 * t181 * nz * t901 * t1243 - 0.4e1 * t1235 * t2 * t91 * t39 + 0.8e1 * t1366 * t152 * t1242 + 0.32e2 * t1287 * t1371 + 0.8e1 * t1258 * t1280 * t152 - 0.8e1 * t1354 * t1260 * t91 + 0.128e3 * t1300 * t365 * xc * t1092 + 0.8e1 * t1366 * t1338;
  t1387 = t1257 * t12;
  t1391 = t1240 * t1;
  t1399 = t1272 * t1260;
  t1412 = t1285 * t1311;
  t1427 = -0.8e1 * t1268 * t1387 * t16 - 0.8e1 * t1391 * t67 * t1242 * t1244 - 0.4e1 * t1134 * t1101 * t39 + 0.8e1 * t1241 * t1399 - 0.8e1 * t1258 * t596 + 0.4e1 * t927 * t1293 * t25 - 0.16e2 * t1331 * t758 + 0.8e1 * t1307 * t665 * t39 + 0.32e2 * t1412 * t1370 * t1173 + 0.8e1 * t1307 * t665 * t800 + 0.8e1 * t1391 * t1259 * t1242 * t16 - 0.8e1 * t1391 * t1259 * t1242 * t72;
  t1456 = t365 * ZB;
  t1468 = 0.4e1 * t927 * t1248 * t17 - 0.2e1 * t1235 * nz * t1242 * t91 + 0.8e1 * t1366 * t1244 * t1242 - 0.16e2 * t1269 * t134 * t39 + 0.8e1 * t1268 * t1257 * t72 * xc + 0.16e2 * t1321 * t1259 * t757 + 0.32e2 * t1317 * t1370 * t12 + 0.4e1 * t1349 * t613 * t1242 + 0.2e1 * t243 * t1456 * t17 - 0.64e2 * t1285 * t365 * t12 * t189 * t490 - 0.8e1 * t1354 * t152 * xc;
  t1472 = t1316 * t365;
  t1474 = t1124 * t39 * t17;
  t1478 = t17 * t91;
  t1504 = t72 * t39;
  t1511 = 0.4e1 * t1134 * t189 * t800 + 0.64e2 * t1472 * t1474 + 0.4e1 * t1235 * t2 * t1478 * t39 + 0.4e1 * t1349 * t665 * t1242 - 0.8e1 * t1258 * t1280 * t72 + 0.2e1 * t1252 * t189 * t1242 + 0.2e1 * t243 * t365 * t189 * t91 + 0.4e1 * t927 * t365 * t1478 * t25 - 0.128e3 * t1300 * t1248 * t1474 - 0.2e1 * t1235 * t1236 + 0.16e2 * t1269 * t1504 * xc + 0.2e1 * t1235 * t365 * t17;
  t1545 = -0.2e1 * t1235 * t1161 * t1242 + 0.4e1 * t1349 * t1350 * t1478 - 0.8e1 * t1366 * t1245 + 0.2e1 * t1235 * t556 * t1242 - 0.32e2 * t1412 * t402 * t726 - 0.8e1 * t1366 * t1399 + 0.8e1 * t1258 * t651 - 0.2e1 * t243 * t1456 * t91 + 0.8e1 * t1268 * t1387 * t72 - 0.16e2 * t1269 * t1332 + 0.4e1 * t1134 * t189 * t39 + 0.16e2 * t1269 * t152 * t39;
  t1564 = t1260 * t800;
  t1583 = 0.64e2 * t1285 * t1456 * t1474 - 0.64e2 * t1472 * t1288 * t40 - 0.8e1 * t1366 * t134 * t1242 + 0.8e1 * t1307 * t362 * t39 + 0.4e1 * t1235 * t2 * t17 * t39 + 0.32e2 * t1346 * t1371 - 0.16e2 * t1269 * t1564 - 0.16e2 * t1321 * t1259 * t1504 + 0.16e2 * t1331 * t1564 - 0.64e2 * t1312 * t29 * t25 * t402 - 0.4e1 * t1134 * t83 * t39 * ZB - 0.32e2 * t181 * t2 * t404;

  _PC2B = (t1133 + t1196 + t1068 + t811 + t466 + t1012 + t381 + t162 + t249 + t533 + t844 + t104 + t1159 + t571 + t211 + t874 + t607 + t339 + t296 + t638 + t908 + t671 + t419 + t983 + t705 + t1105 + t501 + t778 + t1040 + t1228 + t741 + t944) / (t1292 + t1344 + t1386 + t1427 + t1468 + t1511 + t1545 + t1583);
  /****************************************************************************************/
  t1   = nz * nz;
  t2   = t1 * nz;
  t3   = t2 * nx;
  t4   = nx * 0.3141592654e1;
  t5   = t4 * xc;
  t6   = PetscSinReal(t5);
  t7   = 0.3141592654e1 * 0.3141592654e1;
  t9   = t3 * t6 * t7;
  t10  = xc * xc;
  t11  = ZA * ZA;
  t12  = t10 * t11;
  t13  = nz * 0.3141592654e1;
  t14  = PetscExpReal(t13);
  t15  = t14 * t14;
  t16  = xc * nz;
  t18  = PetscExpReal(t16 * 0.3141592654e1);
  t19  = t18 * t18;
  t20  = t19 * t18;
  t21  = t15 * t20;
  t22  = t12 * t21;
  t25  = nx * t6;
  t26  = t1 * 0.3141592654e1;
  t27  = t25 * t26;
  t28  = ZA * ZB;
  t29  = t18 * t15;
  t30  = t28 * t29;
  t33  = t25 * nz;
  t34  = t11 * t15;
  t35  = t19 * t19;
  t36  = t35 * t18;
  t40  = t25 * t1;
  t41  = 0.3141592654e1 * t11;
  t42  = t15 * t36;
  t43  = t41 * t42;
  t46  = nx * nx;
  t47  = t1 * t46;
  t48  = t47 * t11;
  t49  = t7 * xc;
  t50  = t35 * t15;
  t51  = t49 * t50;
  t55  = PetscSinReal(t4);
  t56  = t46 * nx * t55;
  t58  = t56 * nz * t7;
  t59  = ZB * ZB;
  t60  = t10 * t59;
  t61  = t15 * t14;
  t62  = t19 * t61;
  t63  = t60 * t62;
  t66  = t19 * t14;
  t67  = t60 * t66;
  t70  = t28 * t42;
  t73  = PetscCosReal(t5);
  t74  = t47 * t73;
  t75  = t7 * t11;
  t77  = t75 * t10 * t36;
  t80  = t73 * t46;
  t81  = t80 * nz;
  t82  = 0.3141592654e1 * t59;
  t83  = t82 * t42;
  t87  = xc * t11;
  t88  = t87 * t62;
  t91  = nz * nx;
  t92  = t55 * t61;
  t96  = nx * t55;
  t98  = t96 * t2 * t7;
  t101 = xc * t59;
  t102 = t101 * t62;
  t108 = t1 * t1;
  t109 = t108 * t7;
  t111 = t59 * t35;
  t112 = t111 * t15;
  t115 = t35 * t20;
  t123 = t1 * nx * t55;
  t124 = t61 * t35;
  t127 = t35 * t19;
  t128 = t61 * t127;
  t129 = t60 * t128;
  t132 = t56 * t16;
  t133 = t7 * t59;
  t134 = t133 * t124;
  t137 = 0.6e1 * t58 * t88 - 0.2e1 * t91 * t92 * t11 + 0.2e1 * t98 * t63 - 0.6e1 * t58 * t102 - 0.2e1 * t91 * t92 * t59 - 0.16e2 * t109 * xc * t112 - 0.2e1 * t91 * t6 * t115 * t59 + 0.12e2 * t40 * t83 + t123 * t41 * t124 - 0.2e1 * t58 * t129 + 0.4e1 * t132 * t134;
  t139 = t56 * 0.3141592654e1;
  t140 = t111 * t14;
  t144 = t49 * t124;
  t147 = t91 * t55;
  t148 = t61 * ZA;
  t154 = ZA * t115 * xc * ZB;
  t157 = t7 * 0.3141592654e1;
  t159 = t96 * t108 * t157;
  t160 = t10 * xc;
  t161 = t160 * t59;
  t162 = t35 * t14;
  t163 = t161 * t162;
  t166 = t28 * t162;
  t169 = t80 * t13;
  t170 = t101 * t42;
  t173 = t2 * t11;
  t174 = t96 * t173;
  t175 = t7 * t10;
  t179 = t59 * t15;
  t184 = t15 * t15;
  t193 = t139 * t140 + 0.4e1 * t56 * nz * t11 * t144 + 0.4e1 * t147 * t148 * ZB + 0.4e1 * t27 * t154 + 0.8e1 * t159 * t163 - 0.12e2 * t147 * t166 + 0.2e1 * t169 * t170 - 0.16e2 * t174 * t175 * t124 + 0.2e1 * t33 * t179 * t20 - 0.2e1 * t33 * t11 * t36 * t184 + 0.2e1 * t56 * t61 * 0.3141592654e1 * ZA * ZB;
  t194 = t173 * 0.3141592654e1;
  t195 = xc * t15;
  t196 = t195 * t19;
  t202 = t15 * t115;
  t203 = t28 * t202;
  t206 = t96 * t26;
  t207 = t14 * t127;
  t208 = t101 * t207;
  t211 = t12 * t128;
  t218 = t11 * t61;
  t219 = t218 * t35;
  t221 = t108 * ZA;
  t223 = t7 * ZB;
  t224 = t223 * t50;
  t227 = ZA * xc;
  t228 = ZB * t15;
  t229 = t228 * t36;
  t230 = t227 * t229;
  t233 = t87 * t207;
  t236 = t6 * t11;
  t240 = -0.4e1 * t194 * t196 + 0.4e1 * t194 * t195 * t127 + 0.4e1 * t33 * t203 - 0.12e2 * t206 * t208 + 0.2e1 * t58 * t211 - 0.16e2 * t47 * t10 * t133 * t50 + t139 * t219 - 0.32e2 * t221 * t10 * t224 - 0.4e1 * t169 * t230 - 0.6e1 * t98 * t233 + 0.2e1 * t91 * t236 * t20;
  t244 = t227 * t228 * t20;
  t252 = t184 * t18;
  t253 = t101 * t252;
  t256 = t35 * t35;
  t257 = t256 * t14;
  t258 = t28 * t257;
  t261 = t108 * t11;
  t263 = t7 * t35;
  t268 = ZB * t61 * t35;
  t273 = t96 * t108 * t160;
  t274 = t157 * ZB;
  t276 = t274 * t148 * t35;
  t279 = t101 * t21;
  t282 = 0.3141592654e1 * xc;
  t283 = t59 * t36;
  t284 = t282 * t283;
  t289 = 0.4e1 * t169 * t244 - 0.4e1 * t132 * t133 * t162 - 0.2e1 * t147 * t140 - 0.2e1 * t27 * t253 + 0.2e1 * t139 * t258 + 0.16e2 * t261 * t10 * t263 * t15 - 0.16e2 * t206 * t227 * t268 - 0.16e2 * t273 * t276 - 0.6e1 * t27 * t279 - 0.4e1 * t40 * t284 - 0.32e2 * t9 * t230;
  t290 = t1 * t11;
  t291 = t96 * t290;
  t297 = t59 * t61;
  t298 = t297 * t127;
  t300 = ZB * t36;
  t301 = t227 * t300;
  t304 = t1 * t59;
  t305 = t184 * t35;
  t310 = t46 * ZB;
  t311 = t184 * ZA;
  t312 = t310 * t311;
  t314 = t60 * t21;
  t317 = t1 * ZA;
  t318 = ZB * t35;
  t321 = t1 * t256;
  t324 = t96 * t261;
  t325 = t10 * t157;
  t326 = t325 * t124;
  t329 = -0.4e1 * t291 * t282 * t128 + t123 * t82 * t62 - t139 * t298 + 0.12e2 * t27 * t301 + t304 * t305 - 0.2e1 * t58 * t12 * t66 - 0.2e1 * t312 + 0.8e1 * t9 * t314 + 0.2e1 * t317 * t318 + 0.2e1 * t321 * t28 - 0.8e1 * t324 * t326;
  t331 = t28 * t124;
  t334 = 0.3141592654e1 * t15;
  t335 = t334 * t127;
  t338 = t35 * ZA;
  t341 = t46 * t256;
  t344 = t46 * t11;
  t346 = t46 * t59;
  t348 = t297 * t35;
  t351 = ZA * t10;
  t352 = t351 * t300;
  t355 = t1 * ZB;
  t362 = 0.12e2 * t147 * t331 - 0.4e1 * t173 * t335 - 0.2e1 * t310 * t338 - 0.2e1 * t341 * t28 - t344 * t305 - t346 * t305 + 0.2e1 * t147 * t348 + 0.16e2 * t9 * t352 + 0.2e1 * t355 * t311 + t290 * t305 + 0.2e1 * t33 * t34 * t20;
  t363 = t36 * t184;
  t364 = t87 * t363;
  t368 = t47 * t73 * t7;
  t373 = t160 * t157;
  t374 = t373 * t124;
  t377 = t311 * t35;
  t380 = t12 * t62;
  t386 = ZB * t10 * ZA * t15 * t20;
  t389 = t87 * t66;
  t393 = t56 * t1 * t10;
  t401 = 0.2e1 * t27 * t364 - 0.16e2 * t368 * t279 - t123 * t41 * t257 + 0.8e1 * t324 * t374 + 0.2e1 * t355 * t377 - 0.2e1 * t98 * t380 - 0.16e2 * t9 * t386 + 0.2e1 * t58 * t389 + 0.16e2 * t393 * t276 + t123 * t82 * t162 - 0.2e1 * t33 * t179 * t36;
  t412 = t11 * t14 * t127;
  t416 = t11 * t19;
  t417 = t416 * t61;
  t421 = t96 * t2 * ZA;
  t426 = t56 * nz * ZA;
  t427 = t318 * t14;
  t428 = t49 * t427;
  t431 = t82 * t29;
  t434 = t87 * t21;
  t442 = 0.2e1 * t33 * t11 * t184 * t18 + 0.4e1 * t81 * t284 - t139 * t412 + 0.2e1 * t147 * t219 - 0.2e1 * t147 * t417 + 0.32e2 * t421 * t175 * t268 + 0.8e1 * t426 * t428 + 0.4e1 * t81 * t431 - 0.2e1 * t169 * t434 - 0.2e1 * t98 * t129 - 0.32e2 * t47 * t28 * t51;
  t443 = t184 * t20;
  t447 = t61 * 0.3141592654e1;
  t448 = t447 * t11;
  t450 = t49 * t268;
  t453 = t60 * t42;
  t456 = t41 * t202;
  t463 = t101 * t443;
  t469 = t41 * xc * t20;
  t474 = -0.8e1 * t27 * t87 * t443 - t56 * t448 - 0.8e1 * t426 * t450 + 0.8e1 * t368 * t453 + 0.4e1 * t40 * t456 + 0.4e1 * t40 * t431 - 0.4e1 * t81 * t456 - 0.4e1 * t27 * t463 + 0.6e1 * t139 * t331 + 0.2e1 * t40 * t469 - 0.16e2 * t9 * t434;
  t482 = t108 * t10;
  t492 = nz * t46;
  t493 = t492 * t11;
  t495 = t282 * t19 * t184;
  t498 = t56 * t290;
  t499 = t325 * t162;
  t502 = t416 * t14;
  t504 = t60 * t207;
  t507 = -t123 * t82 * t257 - 0.4e1 * t169 * t301 + t123 * t41 * t162 + 0.16e2 * t482 * t7 * t112 - 0.12e2 * t206 * t102 - t123 * t82 * t66 - 0.4e1 * t147 * t258 - 0.4e1 * t493 * t495 - 0.8e1 * t498 * t499 + t139 * t502 - 0.2e1 * t98 * t504;
  t508 = t101 * t162;
  t512 = t41 * t115 * xc;
  t515 = t87 * t42;
  t520 = ZB * t184;
  t522 = t227 * t520 * t18;
  t525 = t492 * t59;
  t528 = t6 * t59;
  t532 = t520 * t20;
  t533 = t351 * t532;
  t539 = t447 * t59;
  t544 = 0.8e1 * t206 * t508 - 0.2e1 * t40 * t512 - 0.16e2 * t368 * t515 + 0.12e2 * t206 * t88 + 0.4e1 * t27 * t522 + 0.4e1 * t525 * t495 - 0.4e1 * t91 * t528 * t36 - 0.16e2 * t368 * t533 - 0.16e2 * t206 * t227 * t427 - t56 * t539 - 0.2e1 * t132 * t133 * t66;
  t551 = t87 * t162;
  t554 = t351 * t229;
  t560 = t59 * t19;
  t561 = t560 * t14;
  t564 = t101 * t202;
  t567 = t87 * t252;
  t573 = t227 * t228 * t115;
  t578 = 0.4e1 * t33 * t70 + 0.4e1 * t493 * t335 - 0.4e1 * t58 * t551 + 0.16e2 * t9 * t554 - 0.4e1 * t33 * t28 * t252 + 0.2e1 * t147 * t561 + 0.2e1 * t169 * t564 - 0.2e1 * t27 * t567 - 0.8e1 * t324 * t499 - 0.4e1 * t169 * t573 + 0.12e2 * t27 * t244;
  t579 = t82 * t202;
  t591 = t282 * t115 * t59;
  t598 = t101 * t66;
  t606 = -0.4e1 * t81 * t579 - 0.2e1 * t169 * t567 - 0.6e1 * t27 * t170 + 0.8e1 * t169 * t203 + 0.2e1 * t98 * t67 + 0.2e1 * t81 * t591 + 0.32e2 * t368 * t244 - 0.2e1 * t27 * t564 + 0.4e1 * t206 * t598 + 0.16e2 * t9 * t170 + 0.2e1 * t33 * t283 * t184;
  t608 = t373 * t162;
  t611 = t59 * t184;
  t617 = t101 * t29;
  t624 = t227 * ZB * t18 * t15;
  t629 = t157 * t59;
  t630 = t629 * t124;
  t633 = t3 * t6;
  t634 = t175 * t283;
  t644 = 0.8e1 * t498 * t608 + 0.2e1 * t33 * t611 * t18 - 0.4e1 * t206 * t389 - 0.2e1 * t27 * t617 - 0.4e1 * t169 * t154 + 0.4e1 * t27 * t624 + 0.12e2 * t27 * t230 - 0.8e1 * t393 * t630 - 0.8e1 * t633 * t634 + 0.16e2 * t47 * t7 * t101 * t50 + 0.2e1 * t123 * t447 * t28;
  t645 = t41 * t29;
  t648 = t2 * 0.3141592654e1;
  t649 = t648 * xc;
  t650 = t560 * t184;
  t656 = t56 * t1 * t157;
  t659 = t87 * t128;
  t662 = t96 * t482;
  t663 = t629 * t162;
  t671 = t161 * t124;
  t674 = t218 * t127;
  t679 = 0.4e1 * t81 * t645 - 0.4e1 * t649 * t650 - 0.8e1 * t169 * t70 + 0.8e1 * t656 * t163 - 0.2e1 * t98 * t659 - 0.8e1 * t662 * t663 - 0.32e2 * t421 * t175 * t427 - 0.2e1 * t147 * t502 + 0.8e1 * t656 * t671 + 0.2e1 * t147 * t674 - 0.16e2 * t368 * t386;
  t714 = t334 * t19;
  t719 = t12 * t42;
  t722 = t304 * t35 - t346 * t35 + t341 * t59 - t344 * t35 + t344 * t256 + t346 * t184 - 0.16e2 * t368 * t554 - 0.16e2 * t48 * t175 * t50 + 0.4e1 * t525 * t714 - 0.2e1 * t58 * t659 + 0.8e1 * t368 * t719;
  t730 = xc * t19;
  t735 = t59 * t256 * t14;
  t752 = 0.4e1 * t173 * t714 - 0.6e1 * t27 * t515 - 0.16e2 * t9 * t279 + 0.4e1 * t194 * t730 * t184 - t139 * t735 - 0.4e1 * t492 * t127 * t82 * xc - 0.4e1 * t98 * t508 - t123 * t41 * t207 - 0.2e1 * t147 * t298 + 0.8e1 * t368 * t314 + 0.6e1 * t132 * t133 * t207;
  t755 = t28 * t21;
  t759 = t274 * t338 * t14;
  t767 = t11 * t35;
  t768 = t767 * t14;
  t778 = t560 * t61;
  t781 = -0.2e1 * t58 * t504 - 0.8e1 * t27 * t755 + 0.16e2 * t662 * t759 + 0.12e2 * t291 * t282 * t207 - 0.6e1 * t27 * t434 + t139 * t768 - 0.8e1 * t498 * t326 + 0.4e1 * t33 * t611 * t20 + 0.2e1 * t81 * t512 - t139 * t561 + 0.2e1 * t147 * t778;
  t786 = t12 * t443;
  t790 = t282 * t59 * t20;
  t796 = t59 * t14 * t127;
  t806 = t41 * t21;
  t811 = -0.8e1 * t393 * t663 + 0.8e1 * t368 * t786 + 0.2e1 * t81 * t790 + 0.4e1 * t169 * t624 + t139 * t796 + 0.2e1 * t206 * t258 - 0.2e1 * t40 * t591 - 0.8e1 * t662 * t630 - 0.4e1 * t33 * t30 - 0.4e1 * t40 * t806 + 0.8e1 * t9 * t786;
  t819 = t282 * t15 * t127;
  t822 = t101 * t363;
  t830 = t11 * t256 * t14;
  t835 = t227 * t532;
  t842 = 0.2e1 * t33 * t11 * t18 * t15 + t123 * t41 * t66 - 0.4e1 * t493 * t819 - 0.2e1 * t27 * t822 - 0.16e2 * t368 * t170 - 0.4e1 * t169 * t463 - t139 * t830 - 0.4e1 * t649 * t179 * t127 + 0.12e2 * t27 * t835 - 0.16e2 * t368 * t434 - 0.2e1 * t40 * t790;
  t845 = t87 * t202;
  t854 = t338 * t15;
  t859 = t12 * t207;
  t868 = t139 * t348 - 0.2e1 * t27 * t845 + 0.8e1 * t169 * t755 - 0.2e1 * t58 * t380 + 0.6e1 * t206 * t331 + 0.8e1 * t310 * t854 - 0.2e1 * t169 * t822 + 0.2e1 * t98 * t859 + 0.8e1 * t159 * t671 + 0.8e1 * t74 * t634 - 0.2e1 * t169 * t253;
  t880 = t60 * t443;
  t891 = t101 * t128;
  t894 = -t123 * t539 - 0.2e1 * t147 * t796 + 0.32e2 * t368 * t230 + t139 * t674 - 0.16e2 * t98 * t60 * t124 + 0.32e2 * t9 * t244 + 0.8e1 * t368 * t880 - 0.8e1 * t40 * t41 * xc * t36 - t123 * t82 * t128 - 0.6e1 * t58 * t233 + 0.2e1 * t58 * t891;
  t903 = t179 * t19;
  t920 = t56 * t1 * t160;
  t925 = -0.2e1 * t174 * t175 * t66 - 0.4e1 * t493 * t714 + 0.4e1 * t649 * t903 - 0.4e1 * t81 * t43 + t123 * t82 * t207 + 0.4e1 * t206 * t891 - 0.16e2 * t273 * t759 - 0.8e1 * t27 * t203 + 0.32e2 * t221 * ZB * t51 - 0.16e2 * t920 * t759 - 0.8e1 * t9 * t453;
  t932 = t87 * t29;
  t945 = t82 * t21;
  t953 = -0.16e2 * t920 * t276 - 0.8e1 * t169 * t30 - 0.8e1 * t633 * t77 - 0.2e1 * t27 * t932 - 0.4e1 * t174 * t49 * t162 + 0.8e1 * t206 * t87 * t124 - 0.2e1 * t147 * t768 + 0.4e1 * t169 * t522 - 0.12e2 * t81 * t945 + 0.4e1 * t33 * t28 * t115 + 0.4e1 * t525 * t819;
  t971  = t282 * t127;
  t978  = -0.6e1 * t98 * t102 + 0.2e1 * t169 * t515 - 0.2e1 * t310 * t377 + 0.2e1 * t147 * t830 + 0.8e1 * t368 * t22 - 0.2e1 * t169 * t617 + 0.16e2 * t662 * t276 - 0.8e1 * t355 * t854 + 0.4e1 * t493 * t971 - 0.16e2 * t9 * t533 - 0.2e1 * t169 * t279;
  t997  = xc * t127;
  t998  = t997 * t59;
  t1003 = 0.4e1 * t40 * t579 + 0.2e1 * t169 * t845 + 0.16e2 * t9 * t515 + 0.8e1 * t206 * t551 + t123 * t41 * t128 + 0.16e2 * t98 * t60 * t162 + 0.2e1 * t169 * t364 - 0.2e1 * t169 * t932 + t139 * t778 + 0.4e1 * t648 * t998 + 0.2e1 * t147 * t412;
  t1006 = t2 * t59;
  t1017 = xc * t35;
  t1033 = 0.4e1 * t1006 * t335 + 0.4e1 * t81 * t806 - 0.2e1 * t33 * t34 * t115 + 0.8e1 * t498 * t374 - 0.16e2 * t261 * t7 * t1017 * t15 + 0.8e1 * t206 * t101 * t124 - t123 * t448 + 0.2e1 * t147 * t735 + 0.6e1 * t98 * t208 + 0.6e1 * t98 * t88 - 0.4e1 * t33 * t755;
  t1055 = -0.4e1 * t173 * t971 + 0.2e1 * t98 * t891 + 0.8e1 * t9 * t880 + 0.4e1 * t169 * t835 - t304 * t184 + t344 * t184 - t123 * t41 * t62 - 0.2e1 * t98 * t598 + 0.2e1 * t58 * t859 + 0.32e2 * t47 * t351 * t224 + 0.2e1 * t98 * t389;
  t1070 = t15 * t19;
  t1089 = -0.16e2 * t368 * t352 - 0.8e1 * t9 * t719 + 0.4e1 * t96 * t2 * xc * t134 - 0.2e1 * t91 * t236 * t115 + 0.4e1 * t27 * t573 + 0.4e1 * t493 * t282 * t1070 + 0.2e1 * t33 * t59 * t18 * t15 + 0.12e2 * t40 * t945 - 0.4e1 * t492 * xc * t82 * t1070 - 0.2e1 * t91 * t528 * t20 + 0.8e1 * t324 * t608;
  t1113 = t123 * t82 * t124 + 0.8e1 * t421 * t428 - t139 * t417 + 0.4e1 * t40 * t645 + 0.16e2 * t393 * t759 - 0.2e1 * t33 * t179 * t115 - 0.4e1 * t525 * t335 + 0.4e1 * t33 * t28 * t36 - 0.4e1 * t1006 * t714 + 0.6e1 * t206 * t166 - 0.8e1 * t421 * t450;
  t1119 = t321 * t46;
  t1122 = t157 * t11;
  t1123 = t1122 * t2;
  t1124 = t184 * t46;
  t1128 = t108 * nz;
  t1132 = t7 * t7;
  t1133 = t1132 * t11;
  t1134 = t1133 * t108;
  t1135 = t15 * t46;
  t1139 = t7 * ZA;
  t1140 = t1139 * ZB;
  t1141 = t1 * t35;
  t1145 = t629 * t2;
  t1146 = t1135 * t730;
  t1149 = t157 * t1128;
  t1150 = t1149 * xc;
  t1153 = t46 * xc;
  t1154 = t1153 * t127;
  t1158 = t184 * t1 * t46;
  t1161 = t46 * t46;
  t1162 = t35 * t1161;
  t1166 = t7 * t1;
  t1170 = -0.4e1 * t133 * t1119 + 0.16e2 * t1123 * t1124 * t730 - 0.8e1 * t1122 * t1128 * t196 - 0.64e2 * t1134 * t1135 * t1017 - 0.32e2 * t1140 * t1141 * t1135 + 0.16e2 * t1145 * t1146 - 0.8e1 * t1150 * t650 - 0.16e2 * t1123 * t1154 - 0.4e1 * t133 * t1158 - 0.16e2 * t1140 * t1162 * t15 + 0.8e1 * t1166 * t35 * t312;
  t1171 = t1161 * t184;
  t1175 = t1122 * nz;
  t1176 = t15 * t1161;
  t1180 = t1132 * ZA;
  t1181 = t1180 * t355;
  t1182 = t1176 * t1017;
  t1185 = t1161 * xc;
  t1189 = t1133 * t1;
  t1192 = t108 * t1;
  t1193 = t1132 * t1192;
  t1195 = t10 * t35;
  t1199 = t157 * t15;
  t1203 = t1141 * t46;
  t1211 = t184 * t108;
  t1218 = 0.2e1 * t133 * t1171 * t35 + 0.8e1 * t1175 * t1176 * t997 + 0.64e2 * t1181 * t1182 - 0.8e1 * t1175 * t1185 * t127 - 0.32e2 * t1189 * t1182 - 0.64e2 * t1193 * ZA * t1195 * t228 + 0.8e1 * t1199 * t416 * t1128 + 0.8e1 * t1140 * t1203 - 0.4e1 * t75 * t1158 - 0.8e1 * t1199 * t560 * t1128 - 0.2e1 * t133 * t1211 - 0.8e1 * t1199 * t127 * t11 * t1128;
  t1221 = t256 * t1161;
  t1224 = t35 * t108;
  t1233 = t7 * t256;
  t1236 = -t75 * t1211 - t75 * t1221 - t133 * t1221 + t75 * t1224 - t75 * t1171 - t133 * t1171 + t133 * t1224 + t75 * t1162 - t75 * t108 * t256 + t133 * t1162 - t1233 * t59 * t108;
  t1240 = t1135 * t1195;
  t1252 = t629 * t127;
  t1263 = t1171 * ZA;
  t1280 = -0.128e3 * t1180 * ZB * t108 * t1240 + 0.32e2 * t1193 * t10 * t112 + 0.4e1 * t133 * t1203 + 0.4e1 * t109 * t256 * ZA * ZB - 0.8e1 * t1252 * nz * t15 * t1185 + 0.8e1 * t1175 * t1171 * t730 - 0.8e1 * t1175 * t1176 * t127 + 0.4e1 * t223 * t1263 - 0.8e1 * t1175 * t1176 * t730 + 0.8e1 * t1166 * ZA * t341 * ZB + 0.64e2 * t1134 * t1240 + 0.8e1 * t1122 * xc * t1128 * t127 * t15;
  t1283 = t1199 * t19;
  t1287 = t1199 * t127;
  t1289 = t59 * nz * t1161;
  t1293 = t157 * nz * xc;
  t1304 = t1132 * t108;
  t1310 = t263 * ZB;
  t1316 = t2 * t15;
  t1323 = -0.16e2 * t1283 * t1006 * t46 + 0.8e1 * t1287 * t1289 + 0.8e1 * t1293 * t127 * t1161 * t59 + 0.16e2 * t1123 * t1135 * t19 + 0.8e1 * t1293 * t560 * t1176 + 0.64e2 * t1304 * t59 * t1240 + 0.4e1 * t75 * t1203 + 0.4e1 * t1310 * t1263 + 0.4e1 * t223 * t338 * t108 - 0.16e2 * t1252 * t1316 * t1153 - 0.16e2 * t1310 * t221 * t15;
  t1330 = t1132 * t15;
  t1336 = t1132 * t1;
  t1338 = t1162 * t179;
  t1370 = 0.8e1 * t1175 * t1176 * t19 + 0.4e1 * t1139 * t318 * t1161 + 0.128e3 * t1330 * t318 * t108 * t46 * t227 - 0.32e2 * t1336 * xc * t1338 + 0.4e1 * t1233 * ZA * t1161 * ZB - 0.8e1 * t1287 * t59 * t1128 * xc + 0.2e1 * t75 * t305 * t108 + 0.8e1 * t1199 * t127 * t59 * t1128 - 0.8e1 * t1283 * t1289 - 0.8e1 * t1293 * t560 * t1171 + 0.4e1 * t133 * t35 * t1158 + 0.8e1 * t157 * t184 * t19 * t11 * t1128 * xc;
  t1376 = t7 * t184;
  t1380 = t1176 * t1195;
  t1393 = t1330 * t35;
  t1411 = 0.16e2 * t1145 * t1154 + 0.8e1 * t1149 * t998 + 0.4e1 * t1376 * t35 * t48 + 0.32e2 * t1189 * t1380 + 0.32e2 * t1193 * t11 * t1195 * t15 - 0.64e2 * t1304 * xc * t111 * t1135 - 0.16e2 * t1123 * t1146 + 0.64e2 * t1393 * t28 * t1192 * xc - 0.16e2 * t1123 * t1135 * t127 - 0.8e1 * t1122 * xc * t1128 * t127 - 0.32e2 * t1193 * xc * t112 + 0.16e2 * t1252 * t1316 * t46;
  t1450 = 0.2e1 * t1376 * t767 * t1161 + 0.2e1 * t1376 * t111 * t108 + 0.4e1 * t223 * t311 * t108 + 0.4e1 * t109 * t35 * t520 * ZA + 0.16e2 * t1123 * t1135 * t997 - 0.64e2 * t1181 * t1380 + 0.8e1 * t1150 * t903 - 0.32e2 * t1393 * t11 * t1192 * xc - 0.16e2 * t157 * t2 * xc * t560 * t1124 + 0.8e1 * t223 * t184 * t317 * t46 + 0.32e2 * t1336 * t10 * t1338 - 0.4e1 * t75 * t1119;
  _PC3B = (t606 + t722 + t1089 + t781 + 0.16e2 * t48 * t51 + t978 + t868 + t507 - t304 * t256 + 0.8e1 * t9 * t22 + t752 + 0.4e1 * t174 * t144 - 0.2e1 * t81 * t469 + 0.6e1 * t139 * t166 + t362 + 0.2e1 * t98 * t211 + t925 + t137 - t290 * t184 + 0.12e2 * t81 * t83 + t842 + 0.8e1 * t74 * t77 + 0.16e2 * t98 * t12 * t162 - 0.4e1 * t33 * t28 * t443 - 0.8e1 * t27 * t70 - 0.2e1 * t33 * t34 * t36 - 0.8e1 * t27 * t30 + 0.2e1 * t58 * t67 - 0.4e1 * t40 * t43 + 0.2e1 * t58 * t63 + t1033 - t290 * t256 + t290 * t35 + t193 + t1113 + t578 + t442 + t474 + t544 + t329 + t679 + t401 + t953 + t811 + t644 + t894 + t289 + t240 + t1055 + t1003) / (t1170 + t1218 + 0.2e1 * t1236 + t1280 + t1323 + t1370 + t1411 + t1450);
  /****************************************************************************************/
  t1   = nz * nz;
  t2   = t1 * xc;
  t3   = ZB * ZB;
  t5   = t2 * 0.3141592654e1 * t3;
  t6   = nx * 0.3141592654e1;
  t7   = t6 * xc;
  t8   = PetscCosReal(t7);
  t9   = nx * nx;
  t10  = t8 * t9;
  t11  = nz * 0.3141592654e1;
  t12  = PetscExpReal(t11);
  t13  = t12 * t12;
  t16  = PetscExpReal(xc * nz * 0.3141592654e1);
  t17  = t16 * t16;
  t18  = t17 * t16;
  t19  = t17 * t17;
  t20  = t19 * t18;
  t21  = t13 * t20;
  t22  = t10 * t21;
  t25  = ZA * ZA;
  t26  = t1 * t25;
  t27  = xc * 0.3141592654e1;
  t28  = t26 * t27;
  t29  = t19 * t16;
  t30  = t13 * t13;
  t31  = t29 * t30;
  t35  = t9 * nx;
  t36  = t3 * t35;
  t37  = PetscSinReal(t6);
  t38  = t13 * t12;
  t39  = t37 * t38;
  t40  = t39 * t19;
  t42  = t1 * t1;
  t43  = nx * t42;
  t44  = xc * xc;
  t45  = t25 * t44;
  t46  = t43 * t45;
  t47  = 0.3141592654e1 * 0.3141592654e1;
  t48  = t47 * t37;
  t49  = t17 * t38;
  t54  = 0.3141592654e1 * t35;
  t55  = ZA * nz * t54;
  t56  = t37 * ZB;
  t57  = t19 * t12;
  t61  = t25 * t8;
  t62  = t61 * t9;
  t63  = nz * t30;
  t64  = t63 * t16;
  t67  = t1 * nz;
  t69  = t47 * ZB;
  t70  = t67 * t44 * t69;
  t75  = nx * t3;
  t76  = t75 * t37;
  t77  = t67 * 0.3141592654e1;
  t78  = t19 * t19;
  t79  = t78 * t12;
  t80  = t77 * t79;
  t82  = t3 * t38;
  t84  = t54 * t37;
  t87  = PetscSinReal(t7);
  t88  = t29 * t87;
  t89  = t47 * t44;
  t93  = nx * t25;
  t94  = t87 * t42;
  t95  = t93 * t94;
  t96  = t47 * xc;
  t97  = t13 * t29;
  t98  = t96 * t97;
  t101 = t87 * t67;
  t102 = t93 * t101;
  t103 = t13 * t18;
  t107 = t47 * t35;
  t108 = t26 * t107;
  t109 = t37 * t44;
  t110 = t19 * t17;
  t111 = t12 * t110;
  t116 = t37 * t19 * t12;
  t118 = t37 * xc;
  t119 = ZB * t19;
  t120 = t119 * t12;
  t121 = t118 * t120;
  t125 = xc * t3;
  t126 = t1 * t47 * t125;
  t127 = t35 * t37;
  t128 = t38 * t19;
  t129 = t127 * t128;
  t132 = t26 * 0.3141592654e1;
  t133 = t16 * t13;
  t134 = t10 * t133;
  t137 = 0.3141592654e1 * ZB;
  t138 = t2 * t137;
  t139 = ZA * t8;
  t140 = t9 * t13;
  t145 = t30 * t18;
  t146 = t10 * t145;
  t149 = t3 * t8;
  t150 = t149 * t9;
  t153 = 0.2e1 * t5 * t22 + 0.2e1 * t28 * t10 * t31 + t36 * t40 - 0.2e1 * t46 * t48 * t49 - 0.2e1 * t55 * t56 * t57 - 0.2e1 * t62 * t64 + 0.16e2 * t70 * t29 * ZA * t10 - t76 * t80 + t82 * nz * t84 + 0.8e1 * t43 * t3 * t88 * t89 + 0.16e2 * t95 * t98 + 0.2e1 * t102 * t27 * t103 - 0.2e1 * t108 * t109 * t111 + t36 * t116 + 0.8e1 * t55 * t121 - 0.4e1 * t126 * t129 - 0.4e1 * t132 * t134 - 0.4e1 * t138 * t139 * t140 * t20 + 0.8e1 * t28 * t146 - 0.2e1 * t150 * t64;
  t154 = t42 * nz;
  t155 = nx * t154;
  t156 = t44 * xc;
  t157 = t47 * 0.3141592654e1;
  t158 = t156 * t157;
  t159 = t155 * t158;
  t162 = t56 * ZA * t19 * t12;
  t165 = t77 * t49;
  t167 = t1 * t3;
  t168 = t167 * t89;
  t169 = t127 * t49;
  t172 = t37 * t67;
  t173 = t75 * t172;
  t174 = t38 * t110;
  t175 = t27 * t174;
  t179 = t47 * t25;
  t181 = t10 * t97;
  t184 = t27 * t31;
  t187 = t67 * t47;
  t188 = t44 * t3;
  t189 = t187 * t188;
  t192 = t25 * t35;
  t193 = t37 * t17;
  t194 = t193 * t12;
  t196 = nx * ZA;
  t197 = t196 * t172;
  t198 = ZB * t38;
  t199 = t198 * t19;
  t204 = t1 * t12 * t110;
  t207 = nx * ZB;
  t209 = t1 * ZA;
  t215 = t67 * t3;
  t216 = t47 * t8;
  t217 = t215 * t216;
  t218 = t9 * xc;
  t222 = nx * t67;
  t223 = t222 * t27;
  t224 = t3 * t87;
  t228 = t167 * t107;
  t232 = t26 * t96;
  t235 = t207 * t94;
  t236 = t47 * ZA;
  t243 = xc * t13;
  t244 = t243 * t29;
  t248 = t25 * nz;
  t249 = t248 * 0.3141592654e1;
  t253 = ZB * ZA;
  t254 = t253 * t8;
  t255 = t9 * nz;
  t256 = t30 * t16;
  t260 = 0.2e1 * t207 * t37 * t209 * t128 + 0.2e1 * t5 * t134 - 0.16e2 * t217 * t218 * t97 - 0.2e1 * t223 * t224 * t31 - 0.2e1 * t228 * t109 * t174 - 0.2e1 * t232 * t169 - 0.16e2 * t235 * t236 * t44 * t30 * t18 - 0.4e1 * t196 * t101 * t137 * t244 + t249 * t169 + 0.8e1 * t168 * t129 + 0.4e1 * t254 * t255 * t256;
  t263 = t43 * t179;
  t267 = t3 * nz;
  t268 = t267 * t54;
  t269 = t118 * t57;
  t272 = t39 * t1;
  t274 = t67 * t25;
  t275 = t274 * t158;
  t278 = t75 * t87;
  t279 = t77 * t103;
  t282 = t25 * t38;
  t285 = ZA * t38;
  t290 = t267 * 0.3141592654e1;
  t296 = t77 * t111;
  t298 = t196 * t37;
  t299 = t1 * ZB;
  t303 = t37 * t42;
  t304 = t196 * t303;
  t308 = t77 * t57;
  t310 = t26 * t89;
  t313 = t77 * t128;
  t316 = t101 * t27;
  t319 = t93 * t87;
  t320 = t77 * t97;
  t323 = t127 * t57;
  t326 = t10 * nz;
  t329 = t118 * t174;
  t332 = -0.8e1 * t263 * t109 * t57 - 0.4e1 * t268 * t269 + t93 * t272 + 0.8e1 * t275 * t129 - 0.4e1 * t278 * t279 + t282 * nz * t84 - 0.2e1 * t285 * nz * t54 * t56 - t290 * t169 - 0.2e1 * t196 * t38 * t172 * t137 + t76 * t296 - 0.2e1 * t298 * t299 * t79 + 0.8e1 * t304 * t96 * t120 + t76 * t308 - 0.2e1 * t310 * t169 - t76 * t313 + 0.2e1 * t75 * t18 * t316 + 0.4e1 * t319 * t320 + t249 * t323 - 0.2e1 * t25 * t18 * t326 + 0.2e1 * t228 * t329;
  t335 = t75 * t101;
  t336 = t27 * t21;
  t342 = t77 * t133;
  t347 = t209 * t137;
  t350 = t9 * t1;
  t351 = t149 * t350;
  t355 = t37 * t78 * t12;
  t359 = t93 * t303;
  t367 = t172 * 0.3141592654e1;
  t369 = t96 * t103;
  t376 = t209 * t107;
  t379 = t10 * t103;
  t383 = t207 * t101;
  t389 = 0.3141592654e1 * ZA;
  t390 = t222 * t389;
  t391 = t87 * ZB;
  t398 = -0.2e1 * t102 * t336 + t93 * t38 * t367 + 0.16e2 * t95 * t369 - t82 * t127 - 0.8e1 * t197 * t27 * t120 + 0.8e1 * t376 * t121 - 0.8e1 * t189 * t379 - t249 * t129 - 0.4e1 * t383 * t27 * ZA * t16 * t13 - 0.8e1 * t390 * t391 * t21 - 0.2e1 * t197 * t137 * t57;
  t402 = t39 * t110;
  t404 = t193 * t38;
  t406 = t127 * t174;
  t408 = t167 * 0.3141592654e1;
  t411 = t44 * t157;
  t412 = t155 * t411;
  t413 = t285 * t19;
  t414 = t56 * t413;
  t417 = ZA * t30;
  t424 = t93 * t37;
  t426 = t248 * t54;
  t427 = t17 * t12;
  t428 = t118 * t427;
  t431 = t77 * t21;
  t438 = ZA * t13;
  t443 = t93 * t172;
  t444 = t27 * t427;
  t448 = t1 * t78 * t12;
  t455 = t274 * t89;
  t461 = t118 * t111;
  t464 = -t36 * t402 + t36 * t404 - t249 * t406 - 0.4e1 * t408 * t134 + 0.16e2 * t412 * t414 - 0.4e1 * t383 * t27 * t417 * t18 + 0.2e1 * t28 * t22 - t424 * t80 - 0.2e1 * t426 * t428 + 0.4e1 * t278 * t431 + 0.4e1 * t254 * t255 * t103 + t290 * t323 + 0.4e1 * t383 * t27 * t438 * t20 + 0.2e1 * t443 * t444 + t424 * t448 - t36 * t194 - 0.32e2 * t235 * t236 * t243 * t18 + 0.8e1 * t455 * t181 - 0.4e1 * t359 * t96 * t128 - 0.2e1 * t426 * t461;
  t469 = nz * t16 * t13;
  t474 = t1 * t38;
  t475 = t474 * t19;
  t480 = t89 * t103;
  t483 = t67 * ZA;
  t484 = t483 * t411;
  t485 = t127 * t120;
  t488 = t127 * t111;
  t497 = t77 * t427;
  t502 = t27 * t97;
  t508 = t1 * t19 * t12;
  t511 = t155 * t25 * t156;
  t512 = t157 * t37;
  t513 = t512 * t128;
  t527 = t1 * t17;
  t528 = t527 * t38;
  t530 = -t76 * t497 - 0.4e1 * t254 * t255 * t97 - 0.2e1 * t102 * t502 - 0.4e1 * t108 * t269 - t76 * t508 + 0.8e1 * t511 * t513 + 0.4e1 * t150 * t63 * t18 + 0.4e1 * t383 * t27 * t438 * t18 + 0.4e1 * t132 * t379 + 0.2e1 * t168 * t488 - t76 * t528;
  t535 = t44 * t13;
  t542 = t527 * t12;
  t544 = nz * t13;
  t545 = t544 * t20;
  t548 = t75 * t303;
  t549 = t96 * t111;
  t552 = ZA * t35;
  t553 = t552 * t37;
  t562 = t43 * t96;
  t563 = t3 * t37;
  t564 = t563 * t128;
  t579 = t474 * t110;
  t590 = t9 * t30;
  t591 = t590 * t18;
  t595 = t127 * t427;
  t598 = t77 * t174;
  t600 = 0.4e1 * t5 * t146 + 0.16e2 * t235 * t236 * t535 * t18 + 0.8e1 * t455 * t146 + t76 * t542 - 0.2e1 * t150 * t545 + 0.2e1 * t548 * t549 - 0.2e1 * t553 * t120 + t290 * t488 - 0.8e1 * t274 * t47 * t44 * t29 * t10 - 0.4e1 * t562 * t564 - 0.2e1 * t132 * xc * t20 * t10 - 0.32e2 * t562 * ZA * t87 * ZB * t13 * t29 - 0.8e1 * t347 * t379 + t76 * t579 - 0.4e1 * t359 * t96 * t57 + 0.4e1 * t408 * t181 - 0.4e1 * t223 * t564 - 0.12e2 * t209 * t27 * ZB * t8 * t591 + 0.2e1 * t310 * t595 + t76 * t598;
  t601 = t27 * t49;
  t604 = t127 * t79;
  t606 = ZB * t29;
  t616 = t139 * t140 * t18;
  t638 = t10 * t256;
  t643 = t118 * t199;
  t653 = t544 * t29;
  t658 = t3 * t29;
  t660 = t350 * t27;
  t663 = -0.4e1 * t254 * t255 * t145 + 0.2e1 * t267 * t20 * t8 * t9 - 0.4e1 * t138 * t139 * t9 * t16 * t13 - 0.2e1 * t5 * t638 + 0.2e1 * t126 * t169 + 0.8e1 * t376 * t643 + 0.4e1 * t335 * t27 * t145 + 0.16e2 * t235 * t236 * t535 * t29 + 0.6e1 * t150 * t653 - 0.4e1 * t426 * t269 + 0.4e1 * t658 * t8 * t660;
  t670 = t274 * t411;
  t673 = t118 * t49;
  t694 = t155 * t45;
  t713 = nz * t29 * t30;
  t717 = t20 * t87;
  t723 = t512 * t57;
  t728 = -0.2e1 * t443 * t175 - 0.8e1 * t670 * t129 + 0.2e1 * t426 * t673 - 0.16e2 * t207 * t88 * t42 * t47 * ZA * t44 + 0.4e1 * t254 * t255 * t21 + t249 * t595 + 0.8e1 * t25 * t29 * t8 * t660 + 0.2e1 * t268 * t461 + 0.8e1 * t189 * t181 - 0.8e1 * t694 * t513 + 0.2e1 * t198 * t553 - 0.12e2 * t606 * t139 * t660 - 0.2e1 * t359 * t549 + 0.4e1 * t138 * t139 * t590 * t16 + 0.8e1 * t93 * t29 * t94 * t89 - 0.2e1 * t150 * t713 + 0.2e1 * t222 * t3 * t717 * t27 + 0.8e1 * t670 * t323 + 0.8e1 * t694 * t723 - 0.2e1 * t62 * t653;
  t734 = t43 * t89;
  t735 = t563 * t427;
  t740 = t75 * t94;
  t744 = ZB * xc;
  t750 = t563 * t57;
  t754 = t218 * t103;
  t771 = t127 * t199;
  t776 = t89 * t174;
  t791 = -0.4e1 * t207 * t717 * t77 * xc * ZA + 0.4e1 * t443 * t27 * t57 + t192 * t40 - 0.8e1 * t55 * t643 - 0.16e2 * t209 * t89 * t771 - 0.8e1 * t275 * t323 + 0.2e1 * t359 * t776 + 0.16e2 * t304 * t89 * t199 + 0.4e1 * t278 * t320 + 0.2e1 * t207 * t172 * t389 * t79 - 0.8e1 * t390 * t391 * t97;
  t794 = t483 * t158;
  t801 = t2 * 0.3141592654e1;
  t818 = t215 * t411;
  t827 = t96 * t174;
  t837 = t37 * t12 * t110;
  t845 = 0.16e2 * t794 * t485 + 0.8e1 * t159 * t564 - 0.8e1 * t455 * t379 - 0.2e1 * t801 * t3 * t20 * t10 - 0.4e1 * t132 * t22 - 0.8e1 * t734 * t564 - 0.8e1 * t187 * t44 * t658 * t10 - 0.8e1 * t412 * t564 + 0.4e1 * t132 * t181 - 0.8e1 * t818 * t129 + 0.2e1 * t46 * t48 * t427 - 0.4e1 * t75 * t29 * t316 - 0.2e1 * t359 * t827 - t290 * t595 + 0.16e2 * t217 * t754 - t424 * t542 - 0.8e1 * t734 * t750 - t192 * t837 - 0.4e1 * t254 * t255 * t133 + 0.8e1 * t304 * t96 * t199;
  t864 = t544 * t18;
  t867 = t3 * t18;
  t884 = t27 * t256;
  t891 = t187 * t744;
  t894 = t563 * t49;
  t900 = -0.2e1 * t263 * t428 + 0.2e1 * t228 * t428 - 0.6e1 * t223 * t224 * t103 - t192 * t404 + 0.2e1 * t268 * t428 - 0.2e1 * t335 * t884 - t424 * t296 + 0.2e1 * t93 * t20 * t316 - 0.32e2 * t891 * t616 + 0.2e1 * t562 * t894 - 0.2e1 * t801 * t867 * t10;
  t904 = t27 * t111;
  t907 = t118 * t128;
  t915 = t89 * t145;
  t947 = t139 * t140 * t29;
  t952 = -0.2e1 * t173 * t904 + 0.4e1 * t426 * t907 + 0.12e2 * t253 * t10 * t1 * 0.3141592654e1 * t244 + 0.8e1 * t95 * t915 - t36 * t355 - 0.16e2 * t794 * t771 - 0.8e1 * t511 * t723 + 0.16e2 * t734 * t162 + t36 * t837 + 0.2e1 * t298 * t299 * t57 - 0.2e1 * t28 * t638 - 0.2e1 * t62 * t545 + 0.2e1 * t310 * t406 + 0.12e2 * t138 * t616 + 0.4e1 * t223 * t750 + t424 * t497 + 0.2e1 * t734 * t894 + 0.2e1 * t132 * xc * t18 * t10 - 0.16e2 * t70 * t947 + 0.32e2 * t891 * t947;
  t969  = t67 * t157 * t156 * t3;
  t974  = t27 * t133;
  t1001 = -0.8e1 * t159 * t750 - 0.16e2 * t412 * t162 - t290 * t129 + 0.8e1 * t310 * t323 - 0.4e1 * t319 * t342 + t75 * t272 + t192 * t402 - 0.8e1 * t359 * t89 * t128 - 0.10e2 * t61 * t350 * t502 + 0.8e1 * t818 * t323 - 0.4e1 * t108 * t907;
  t1042 = t89 * t97;
  t1055 = -0.2e1 * t168 * t595 + 0.16e2 * t484 * t771 + 0.4e1 * t11 * t125 * t129 - 0.2e1 * t173 * t444 + 0.2e1 * ZB * nz * t54 * t37 * ZA * t79 - t424 * t475 + 0.2e1 * t562 * t735 - 0.2e1 * t548 * t776 + t424 * t204 + 0.2e1 * t25 * t20 * t326 + 0.8e1 * t383 * t389 * t133 + t75 * t38 * t367 + 0.2e1 * t62 * t469 + 0.2e1 * t197 * t137 * t128 - 0.2e1 * t102 * t884 - 0.2e1 * t5 * t379 - 0.8e1 * t740 * t1042 - 0.16e2 * t159 * t414 - 0.2e1 * ZB * t35 * t37 * t413 + 0.2e1 * t553 * ZB * t78 * t12;
  t1096 = 0.2e1 * t443 * t904 - 0.2e1 * t268 * t329 - 0.2e1 * t443 * t601 + 0.2e1 * t102 * t974 - 0.2e1 * t263 * t673 + t424 * t165 + 0.2e1 * t62 * t713 + t424 * t308 - t424 * t313 + 0.8e1 * t347 * t22 - t424 * t598;
  t1103 = t42 * t1 * t157;
  t1104 = t1103 * t25;
  t1108 = t3 * t19;
  t1112 = nz * t47;
  t1113 = t9 * t9;
  t1118 = t42 * t157;
  t1119 = t1118 * t9;
  t1120 = t25 * xc;
  t1121 = t13 * t110;
  t1122 = t1120 * t1121;
  t1125 = t47 * t47;
  t1126 = t67 * t1125;
  t1127 = t1113 * ZA;
  t1128 = t1126 * t1127;
  t1129 = t19 * t13;
  t1130 = t744 * t1129;
  t1133 = t154 * t1125;
  t1134 = t1133 * t9;
  t1135 = t45 * t1129;
  t1138 = t154 * t47;
  t1139 = t25 * t30;
  t1142 = t1126 * t1113;
  t1145 = t125 * t1129;
  t1148 = t1103 * xc;
  t1149 = t3 * t13;
  t1150 = t1149 * t17;
  t1153 = t25 * t78;
  t1156 = -0.8e1 * t1104 * t243 * t17 + 0.4e1 * t187 * t1108 * t9 - 0.2e1 * t1112 * t3 * t1113 * t30 + 0.16e2 * t1119 * t1122 + 0.64e2 * t1128 * t1130 + 0.64e2 * t1134 * t1135 - 0.2e1 * t1138 * t1139 + 0.32e2 * t1142 * t1135 - 0.32e2 * t1142 * t1145 + 0.8e1 * t1148 * t1150 - 0.2e1 * t1138 * t1153;
  t1157 = t25 * t13;
  t1158 = t1157 * t17;
  t1161 = t13 * t17;
  t1162 = t1120 * t1161;
  t1165 = t3 * t78;
  t1170 = t42 * t67 * t1125;
  t1172 = t1108 * t13;
  t1175 = t1 * t157;
  t1176 = t1175 * t1113;
  t1182 = t1120 * t1129;
  t1189 = t110 * t9 * xc;
  t1192 = t1149 * t110;
  t1201 = 0.8e1 * t1103 * t1158 - 0.16e2 * t1119 * t1162 - 0.2e1 * t1112 * t1165 * t1113 + 0.32e2 * t1170 * t44 * t1172 - 0.8e1 * t1176 * t1162 + 0.8e1 * t1104 * t243 * t110 - 0.64e2 * t1134 * t1182 - 0.64e2 * t1134 * t1145 + 0.16e2 * t1118 * t3 * t1189 + 0.16e2 * t1119 * t1192 - 0.4e1 * t187 * t1165 * t9 - 0.4e1 * t187 * t1139 * t9;
  t1209 = t17 * t30;
  t1210 = t125 * t1209;
  t1213 = t1138 * ZA;
  t1214 = ZB * t30;
  t1218 = t1157 * t110;
  t1226 = t3 * t30;
  t1237 = t1170 * t25;
  t1242 = 0.4e1 * t1112 * ZA * t119 * t1113 - 0.16e2 * t1119 * t1150 - 0.8e1 * t1176 * t1210 + 0.4e1 * t1213 * t1214 * t19 - 0.16e2 * t1119 * t1218 - 0.32e2 * t1142 * t1182 - 0.8e1 * t1103 * t1120 * t110 - 0.4e1 * t187 * t1226 * t9 + 0.8e1 * t1103 * t1192 + 0.4e1 * t1112 * ZB * t1113 * t30 * ZA - 0.32e2 * t1237 * xc * t19 * t13;
  t1251 = t125 * t1121;
  t1260 = t1120 * t1209;
  t1263 = t1139 * t19;
  t1282 = 0.8e1 * t1103 * t110 * t3 * xc + 0.8e1 * t1104 * xc * t17 * t30 - 0.8e1 * t1176 * t1251 + 0.16e2 * t1119 * t1158 + 0.4e1 * t1112 * t78 * t1127 * ZB + 0.16e2 * t1119 * t1260 + 0.2e1 * t1138 * t1263 - 0.32e2 * t1170 * xc * t1172 - 0.16e2 * t1213 * t119 * t13 + 0.4e1 * t1138 * t1214 * ZA + 0.32e2 * t1237 * t44 * t19 * t13 - 0.16e2 * t1118 * t25 * t1189;
  t1287 = t188 * t1129;
  t1292 = t25 * t19;
  t1296 = t187 * t9;
  t1297 = t1226 * t19;
  t1311 = t1112 * t1113;
  t1317 = -0.8e1 * t1176 * t1150 + 0.32e2 * t1142 * t1287 - 0.8e1 * t1103 * t1150 + 0.2e1 * t1112 * t1292 * t1113 + 0.4e1 * t1296 * t1297 + 0.8e1 * t1176 * t1192 + 0.4e1 * t1296 * t1263 + 0.8e1 * t1176 * t1158 - 0.8e1 * t1175 * t25 * t1113 * xc * t110 + 0.2e1 * t1311 * t1297 + 0.2e1 * t1112 * t1108 * t1113;
  t1320 = t253 * t1129;
  t1328 = t253 * t30 * t19;
  t1333 = t125 * t1161;
  t1343 = ZB * t44 * t1129;
  t1350 = -0.8e1 * t1176 * t1218 - 0.16e2 * t1311 * t1320 + 0.8e1 * t1176 * t1260 - 0.16e2 * t1119 * t1210 + 0.4e1 * t1311 * t1328 + 0.2e1 * t1311 * t1263 + 0.8e1 * t1176 * t1333 + 0.8e1 * t187 * ZB * t417 * t9 - 0.2e1 * t1138 * t1165 - 0.64e2 * t1128 * t1343 + 0.64e2 * t1134 * t1287 + 0.2e1 * t1138 * t1108;
  t1369 = t1133 * t9 * ZA;
  t1378 = t187 * ZA;
  t1383 = t1170 * ZA;
  t1388 = 0.2e1 * t1138 * t1297 - 0.8e1 * t1148 * t1192 + 0.2e1 * t1138 * t1292 - 0.16e2 * t1119 * t1251 + 0.8e1 * t1175 * xc * t110 * t1113 * t3 - 0.2e1 * t1112 * t1153 * t1113 + 0.128e3 * t1369 * t1130 + 0.16e2 * t1119 * t1333 + 0.4e1 * t1138 * t78 * ZA * ZB + 0.8e1 * t1378 * t78 * t9 * ZB - 0.64e2 * t1383 * t1343 + 0.64e2 * t1383 * t1130;
  t1420 = 0.4e1 * t1138 * t119 * ZA - 0.128e3 * t1369 * t1343 - 0.4e1 * t187 * t1153 * t9 - 0.2e1 * t1138 * t1226 + 0.8e1 * t1296 * t1328 - 0.2e1 * t1112 * t1139 * t1113 - 0.8e1 * t1148 * t3 * t17 * t30 - 0.32e2 * t1296 * t1320 + 0.8e1 * t1176 * t1122 + 0.4e1 * t187 * t1292 * t9 + 0.8e1 * t1378 * t119 * t9 - 0.8e1 * t1103 * t1218;

  _PC4B = (-t424 * t508 + 0.8e1 * t412 * t750 - 0.2e1 * t232 * t595 - 0.4e1 * t126 * t323 + t1096 - t76 * t204 + t728 + 0.2e1 * t548 * t827 + 0.2e1 * t150 * t469 + t398 + 0.8e1 * t189 * t146 + t260 - 0.2e1 * t351 * t184 - 0.2e1 * t268 * t673 - 0.4e1 * t319 * t279 + t464 - 0.2e1 * t108 * t461 + 0.16e2 * t740 * t369 + 0.16e2 * t274 * t216 * t754 - 0.16e2 * t70 * t139 * t591 + 0.2e1 * t55 * t56 * t128 - 0.2e1 * t359 * t89 * t111 + 0.2e1 * t734 * t563 * t111 + 0.6e1 * t223 * t224 * t97 + 0.8e1 * t383 * t389 * t103 + 0.4e1 * t606 * ZA * t326 - 0.2e1 * t93 * t18 * t316 - 0.4e1 * t443 * t27 * t128 + 0.8e1 * t197 * t27 * t199 + 0.8e1 * t108 * t109 * t128 - t249 * t604 + 0.16e2 * t70 * t616 - 0.8e1 * t969 * t323 + t845 - t424 * t579 + 0.16e2 * t159 * t162 + t290 * t406 - 0.6e1 * t150 * t864 + t192 * t116 + 0.2e1 * t867 * t326 - 0.4e1 * t658 * t326 - 0.2e1 * t351 * t502 - t76 * t165 + t900 + 0.8e1 * t168 * t323 + t791 + 0.8e1 * t740 * t915 - 0.4e1 * t562 * t750 - 0.4e1 * t278 * t342 + 0.4e1 * t319 * t431 + 0.2e1 * t173 * t175 + t424 * t528 + 0.8e1 * t969 * t129 - 0.8e1 * t347 * t181 + t332 + t530 - 0.2e1 * t108 * t329 - 0.2e1 * t207 * t38 * t37 * t1 * ZA + t1001 + 0.4e1 * t408 * t379 + t76 * t448 + 0.2e1 * t102 * t184 + 0.2e1 * t426 * t329 + 0.16e2 * t740 * t98 - t282 * t127 - 0.16e2 * t1 * t44 * t69 * t552 * t116 + 0.2e1 * t168 * t169 + 0.2e1 * t28 * t134 - t290 * t604 - 0.16e2 * t484 * t485 - 0.8e1 * t740 * t480 + 0.2e1 * t173 * t601 - 0.2e1 * t335 * t336 + t600 + 0.2e1 * t62 * t864 + t952 + 0.8e1 * t347 * t134 - t192 * t355 + t192 * t194 + 0.2e1 * t228 * t461 + t663 + 0.4e1 * t383 * t27 * t417 * t16 + 0.4e1 * t138 * t20 * ZA * t10 - 0.4e1 * t20 * ZB * ZA * t326 + 0.4e1 * t196 * t88 * t77 * t744 - 0.16e2 * t67 * xc * t179 * t181 - 0.8e1 * t95 * t480 - t249 * t488 - t76 * t475 + t1055 - 0.4e1 * t408 * t22 - 0.10e2 * t28 * t379 + 0.2e1 * t335 * t974 + t153 - 0.8e1 * t95 * t1042 - 0.2e1 * t734 * t735) / (t1156 + t1201 + t1242 + t1282 + t1317 + t1350 + t1388 + t1420);
  /****************************************************************************************/
  /****************************************************************************************/

  if (x > xc) {
    _PC1 = _PC1B;
    _PC2 = _PC2B;
    _PC3 = _PC3B;
    _PC4 = _PC4B;
    Z    = ZB;
  } else {
    _PC1 = _PC1A;
    _PC2 = _PC2A;
    _PC3 = _PC3A;
    _PC4 = _PC4A;
    Z    = ZA;
  }
  /****************************************************************************************/
  /****************************************************************************************/
  t1  = nz * nz;
  t2  = t1 * t1;
  t3  = t2 * nz;
  t4  = x * t3;
  t5  = 0.3141592654e1 * 0.3141592654e1;
  t6  = t5 * 0.3141592654e1;
  t11 = _PC3 * t6;
  t12 = x * nz;
  t13 = nx * nx;
  t14 = t13 * t13;
  t15 = t12 * t14;
  t19 = PetscExpReal(t12 * 0.3141592654e1);
  t20 = t19 * t19;
  t21 = t4 * t20;
  t24 = _PC1 * t5;
  t25 = Z * t20;
  t29 = _PC1 * t6;
  t30 = t29 * Z;
  t31 = t1 * nz;
  t32 = x * t31;
  t33 = t32 * t13;
  t36 = t11 * x;
  t41 = nz * t20;
  t45 = t6 * _PC4;
  t49 = t20 * t1;
  t51 = _PC2 * Z;
  t55 = -0.2e1 * t4 * t6 * _PC2 * Z - 0.2e1 * t11 * t15 - 0.2e1 * t11 * t21 + 0.2e1 * t24 * t25 * t14 - t13 + 0.4e1 * t30 * t33 - 0.4e1 * t36 * t31 * t20 * t13 - 0.2e1 * t36 * t41 * t14 - 0.2e1 * t4 * t45 * t20 - t49 - 0.2e1 * t4 * t6 * t51 * t20;
  t58 = t32 * t6;
  t59 = _PC4 * t20;
  t63 = t20 * t13;
  t67 = t12 * t6;
  t68 = t20 * t14;
  t87 = t49 * t13;
  t90 = -0.4e1 * t11 * t33 - 0.4e1 * t58 * t59 * t13 - 0.4e1 * t58 * t51 * t63 - 0.2e1 * t67 * t51 * t68 + 0.4e1 * t32 * t45 * t13 - 0.2e1 * t67 * t59 * t14 - 0.2e1 * t30 * t21 + t1 + 0.2e1 * t24 * t25 * t2 + 0.2e1 * t12 * t45 * t14 + 0.4e1 * t24 * Z * t87;
  t106 = _PC3 * t5;
  t120 = -0.4e1 * t30 * t32 * t63 + t63 + 0.4e1 * t24 * Z * t1 * t13 + 0.2e1 * t29 * Z * x * t3 - 0.4e1 * t58 * t51 * t13 - 0.2e1 * t106 * t2 + t32 * 0.3141592654e1 - 0.2e1 * t106 * t14 - 0.2e1 * t30 * t12 * t68 - 0.2e1 * t67 * t51 * t14 + 0.4e1 * t106 * t87;
  t129 = PetscSinReal(nx * 0.3141592654e1 * x);
  t155 = 0.2e1 * t30 * t15 + x * 0.3141592654e1 * t41 * t13 - 0.4e1 * t19 * nx * t129 * nz + t32 * 0.3141592654e1 * t20 + 0.2e1 * t106 * t68 + 0.2e1 * t106 * t20 * t2 - 0.4e1 * t106 * t1 * t13 - 0.2e1 * t11 * t4 + 0.2e1 * t4 * t45 + 0.2e1 * t24 * Z * t2 + 0.2e1 * t24 * Z * t14 + t12 * 0.3141592654e1 * t13;
  t158 = t5 * Z;

  u1 = (t55 + t90 + t120 + t155) / (0.4e1 * t158 * t19 * t2 + 0.8e1 * t158 * t19 * t1 * t13 + 0.4e1 * t158 * t19 * t14);
  /****************************************************************************************/
  /****************************************************************************************/
  t1  = nz * nz;
  t2  = t1 * nz;
  t3  = x * t2;
  t4  = 0.3141592654e1 * 0.3141592654e1;
  t5  = t4 * 0.3141592654e1;
  t6  = t3 * t5;
  t7  = _PC2 * Z;
  t8  = nx * nx;
  t12 = t1 * t1;
  t13 = t12 * nz;
  t14 = x * t13;
  t15 = t5 * _PC4;
  t16 = x * nz;
  t18 = PetscExpReal(t16 * 0.3141592654e1);
  t19 = t18 * t18;
  t23 = t16 * t5;
  t24 = t8 * t8;
  t28 = _PC3 * t5;
  t29 = t14 * t19;
  t32 = _PC1 * t5;
  t33 = t32 * Z;
  t34 = t16 * t24;
  t37 = _PC4 * t19;
  t45 = _PC2 * t4;
  t53 = t19 * t8;
  t58 = _PC4 * t4;
  t60 = t1 * t19 * t8;
  t63 = t19 * t24;
  t67 = t3 * t8;
  t73 = nz * t19;
  t86 = t28 * x;
  t91 = 0.4e1 * t58 * t60 + 0.2e1 * t33 * t16 * t63 + 0.4e1 * t33 * t67 + 0.2e1 * t33 * t29 - x * 0.3141592654e1 * t73 * t8 - 0.2e1 * t53 + 0.2e1 * t32 * Z * x * t13 - 0.2e1 * t58 * t12 - 0.2e1 * t58 * t24 + t3 * 0.3141592654e1 + 0.4e1 * t86 * t2 * t19 * t8;
  t94 = Z * t12;
  t121 = -0.2e1 * t8 + 0.2e1 * t45 * t94 * t19 + 0.2e1 * t14 * t5 * t7 * t19 + 0.4e1 * t6 * t7 * t53 + 0.2e1 * t23 * t7 * t63 - 0.4e1 * t28 * t67 + 0.2e1 * t45 * t94 + 0.2e1 * t58 * t12 * t19 + t16 * 0.3141592654e1 * t8 + 0.2e1 * t14 * t15 - 0.2e1 * t28 * t14;
  t146 = PetscCosReal(nx * 0.3141592654e1 * x);
  t156 = -t3 * 0.3141592654e1 * t19 + 0.2e1 * t58 * t63 - 0.4e1 * t58 * t1 * t8 + 0.4e1 * t45 * Z * t1 * t8 - 0.2e1 * t28 * t34 + 0.2e1 * t86 * t73 * t24 + 0.4e1 * t3 * t15 * t8 + 0.4e1 * t45 * Z * t60 + 0.4e1 * t18 * t146 * t8 + 0.2e1 * t45 * Z * t24 + 0.2e1 * t16 * t15 * t24;
  t159 = t4 * Z;

  u2 = (-0.4e1 * t6 * t7 * t8 + 0.2e1 * t14 * t15 * t19 - 0.2e1 * t23 * t7 * t24 + 0.2e1 * t28 * t29 + 0.2e1 * t33 * t34 + 0.4e1 * t6 * t37 * t8 - 0.2e1 * t14 * t5 * _PC2 * Z + 0.2e1 * t45 * Z * t19 * t24 + 0.2e1 * t23 * t37 * t24 + 0.4e1 * t33 * t3 * t53 + t91 + t121 + t156) / (0.4e1 * t159 * t18 * t12 + 0.8e1 * t159 * t18 * t1 * t8 + 0.4e1 * t159 * t18 * t24);
  /****************************************************************************************/
  /****************************************************************************************/
  t1  = 0.3141592654e1 * 0.3141592654e1;
  t2  = t1 * 0.3141592654e1;
  t3  = _PC1 * t2;
  t4  = t3 * Z;
  t5  = nz * nz;
  t6  = t5 * t5;
  t7  = t6 * nz;
  t8  = x * t7;
  t9  = x * nz;
  t11 = PetscExpReal(t9 * 0.3141592654e1);
  t12 = t11 * t11;
  t13 = t8 * t12;
  t16 = t5 * nz;
  t17 = x * t16;
  t18 = t17 * t2;
  t19 = _PC4 * t12;
  t20 = nx * nx;
  t24 = t2 * _PC4;
  t28 = _PC3 * t2;
  t29 = t28 * x;
  t30 = t12 * nz;
  t31 = t20 * t20;
  t40 = _PC2 * Z;
  t44 = t9 * t2;
  t48 = t12 * t20;
  t52 = t17 * t20;
  t57 = -0.2e1 * t4 * t13 - 0.4e1 * t18 * t19 * t20 - 0.2e1 * t8 * t24 * t12 - 0.2e1 * t29 * t30 * t31 + 0.2e1 * t8 * t2 * _PC2 * Z - 0.2e1 * t8 * t2 * t40 * t12 - 0.2e1 * t44 * t19 * t31 - 0.4e1 * t18 * t40 * t48 + t20 + 0.4e1 * t28 * t52 + t17 * 0.3141592654e1 * t12;
  t58 = t9 * t31;
  t61 = _PC3 * t1;
  t62 = t12 * t31;
  t73 = t5 * t20;
  t78 = _PC1 * t1;
  t90 = Z * t12;
  t94 = 0.2e1 * t28 * t58 + 0.2e1 * t61 * t62 + 0.2e1 * t61 * t12 * t6 - 0.4e1 * t4 * t17 * t48 + 0.2e1 * t28 * t8 + 0.4e1 * t61 * t73 - 0.2e1 * t8 * t24 - 0.2e1 * t78 * Z * t6 - 0.2e1 * t44 * t40 * t62 - 0.2e1 * t78 * Z * t31 - t9 * 0.3141592654e1 * t20 + 0.2e1 * t78 * t90 * t6;
  t101 = PetscCosReal(nx * 0.3141592654e1 * x);
  t102 = t11 * t101;
  t109 = t12 * t5;
  t110 = t109 * t20;
  t128 = 0.2e1 * t61 * t6 - t17 * 0.3141592654e1 + 0.2e1 * t102 * t5 - 0.4e1 * t17 * t24 * t20 + 0.4e1 * t78 * Z * t110 - 0.2e1 * t9 * t24 * t31 - 0.4e1 * t4 * t52 - 0.2e1 * t4 * t9 * t62 + x * 0.3141592654e1 * t30 * t20 - t5 - 0.4e1 * t78 * Z * t5 * t20;
  t156 = 0.2e1 * t78 * t90 * t31 - 0.2e1 * t3 * Z * x * t7 + t48 + 0.4e1 * t61 * t110 + 0.4e1 * t18 * t40 * t20 - 0.2e1 * t102 * t20 + 0.2e1 * t61 * t31 + 0.2e1 * t44 * t40 * t31 - t109 - 0.2e1 * t4 * t58 - 0.2e1 * t28 * t13 - 0.4e1 * t29 * t16 * t12 * t20;
  t159 = t1 * t11;

  u3 = (t57 + t94 + t128 + t156) / (0.4e1 * t159 * t6 + 0.8e1 * t159 * t73 + 0.4e1 * t159 * t31);
  /****************************************************************************************/
  /****************************************************************************************/
  t1  = _PC2 * Z;
  t2  = 0.3141592654e1 * 0.3141592654e1;
  t3  = t2 * 0.3141592654e1;
  t4  = nz * nz;
  t5  = t4 * t4;
  t6  = t5 * t4;
  t8  = t3 * t6 * x;
  t11 = x * t4;
  t12 = t11 * t3;
  t15 = PetscExpReal(x * nz * 0.3141592654e1);
  t16 = t15 * t15;
  t17 = _PC3 * t16;
  t18 = nx * nx;
  t19 = t18 * t18;
  t23 = t5 * nz;
  t24 = t2 * t23;
  t28 = t1 * t3;
  t29 = t6 * x;
  t30 = t29 * t16;
  t33 = _PC4 * t3;
  t34 = t5 * x;
  t35 = t34 * t18;
  t41 = PetscSinReal(nx * 0.3141592654e1 * x);
  t47 = t11 * t19;
  t54 = t3 * _PC3;
  t57 = 0.2e1 * t1 * t8 + 0.2e1 * t12 * t17 * t19 + 0.2e1 * t1 * t24 * t16 + 0.2e1 * t28 * t30 - 0.4e1 * t33 * t35 + 0.2e1 * t15 * nx * t41 * t4 + 0.4e1 * t28 * t35 - 0.2e1 * t33 * t47 - 0.2e1 * t1 * t24 - 0.2e1 * t33 * t29 + 0.2e1 * t29 * t54;
  t58 = 0.3141592654e1 * t16;
  t60 = t2 * _PC4;
  t69 = t4 * nz;
  t73 = t1 * t2;
  t75 = t69 * t16 * t18;
  t79 = x * t16;
  t83 = nz * t16;
  t84 = t83 * t19;
  t95 = -t34 * t58 + 0.2e1 * t60 * t23 * t16 + 0.2e1 * t60 * nz * t19 - t11 * 0.3141592654e1 * t18 + 0.4e1 * t60 * t69 * t18 + 0.4e1 * t73 * t75 + 0.4e1 * t33 * t5 * t79 * t18 + 0.2e1 * t73 * t84 + 0.2e1 * t60 * t84 + 0.2e1 * t33 * t4 * t79 * t19 + 0.4e1 * t60 * t75;
  t97  = t34 * t3;
  t101 = Z * _PC1;
  t102 = t16 * t19;
  t106 = t16 * t18;
  t127 = t2 * t69;
  t131 = t2 * nz;
  t135 = 0.4e1 * t97 * t17 * t18 + 0.2e1 * t12 * t101 * t102 + 0.4e1 * t28 * t34 * t106 + 0.2e1 * t28 * t11 * t102 - 0.2e1 * t29 * t3 * Z * _PC1 - 0.4e1 * t97 * t101 * t18 - 0.2e1 * t12 * t101 * t19 + 0.2e1 * t60 * t23 - 0.2e1 * t83 * t18 - 0.4e1 * t1 * t127 * t18 - 0.2e1 * t1 * t131 * t19;
  t164 = 0.2e1 * t28 * t47 + 0.2e1 * t11 * t54 * t19 + 0.2e1 * t8 * t101 * t16 + 0.2e1 * t33 * t30 - t11 * t58 * t18 + 0.2e1 * t29 * t54 * t16 + 0.4e1 * t34 * t54 * t18 + 0.4e1 * t97 * t101 * t106 - 0.2e1 * t15 * t18 * nx * t41 - t34 * 0.3141592654e1 + 0.2e1 * nz * t18;

  u4 = (t57 + t95 + t135 + t164) / (0.4e1 * t24 * t15 + 0.8e1 * t127 * t15 * t18 + 0.4e1 * t131 * t15 * t19);

  /****************************************************************************************/
  /****************************************************************************************/

  u5 = (PetscReal)(-2 * Z * nz * PETSC_PI * u2 - u3 * 2 * nz * PETSC_PI) * PetscCosReal(nz * PETSC_PI * z); /* pressure */

  u6 = (PetscReal)(u3 * 2 * nz * PETSC_PI + 4 * Z * nz * PETSC_PI * u2) * PetscCosReal(nz * PETSC_PI * z); /* zz stress */
  sum5 += u5;
  sum6 += u6;

  u1 *= PetscCosReal(nz * PETSC_PI * z); /* x velocity */
  sum1 += u1;
  u2 *= PetscSinReal(nz * PETSC_PI * z); /* z velocity */
  sum2 += u2;
  u3 *= 2 * nz * PETSC_PI * PetscCosReal(nz * PETSC_PI * z); /* xx stress */
  sum3 += u3;
  u4 *= 2 * nz * PETSC_PI * PetscSinReal(nz * PETSC_PI * z); /* zx stress */
  sum4 += u4;

  /* Output */
  if (mu) *mu = Z;
  if (vel) {
    vel[0] = sum1;
    vel[1] = sum2;
  }
  if (p) (*p) = sum5;
  if (s) {
    s[0] = sum3;
    s[1] = sum4;
    s[2] = sum6;
  }
  if (gamma) {
    /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
    gamma[0] = (sum3 + sum5) / (2.0 * Z);
    gamma[1] = (sum4) / (2.0 * Z);
    gamma[2] = (sum6 + sum5) / (2.0 * Z);
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SolCxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
{
  Parameter *s = (Parameter *)ctx;

  PetscFunctionBegin;
  PetscCall(SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, v, NULL, NULL, NULL, NULL));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SolCxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
{
  Parameter *s = (Parameter *)ctx;

  PetscFunctionBegin;
  PetscCall(SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, NULL, p, NULL, NULL, NULL));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
{
  PetscInt sol;

  PetscFunctionBeginUser;
  options->solType = SOLKX;
  PetscOptionsBegin(comm, "", "Variable-Viscosity Stokes Problem Options", "DMPLEX");
  sol = options->solType;
  PetscCall(PetscOptionsEList("-sol_type", "Type of exact solution", "ex69.c", solTypes, NUM_SOL_TYPES, solTypes[options->solType], &sol, NULL));
  options->solType = (SolutionType)sol;
  PetscOptionsEnd();
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SetUpParameters(AppCtx *user)
{
  PetscBag   bag;
  Parameter *p;

  PetscFunctionBeginUser;
  /* setup PETSc parameter bag */
  PetscCall(PetscBagGetData(user->bag, (void **)&p));
  PetscCall(PetscBagSetName(user->bag, "par", "Problem parameters"));
  bag = user->bag;
  switch (user->solType) {
  case SOLKX:
    PetscCall(PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation"));
    PetscCall(PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation"));
    PetscCall(PetscBagRegisterReal(bag, &p->B, 1.0, "B", "Exponential scale for viscosity variation"));
    break;
  case SOLCX:
    PetscCall(PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation"));
    PetscCall(PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation"));
    PetscCall(PetscBagRegisterReal(bag, &p->etaA, 1.0, "etaA", "Viscosity for x < xc"));
    PetscCall(PetscBagRegisterReal(bag, &p->etaB, 1.0, "etaB", "Viscosity for x > xc"));
    PetscCall(PetscBagRegisterReal(bag, &p->xc, 0.5, "xc", "x-coordinate of the viscosity jump"));
    break;
  default:
    SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
  }
  PetscCall(PetscBagSetFromOptions(bag));
  PetscCall(PetscBagViewFromOptions(bag, NULL, "-param_view"));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/* Make split labels so that we can have corners in multiple labels */
static PetscErrorCode CreateSplitLabels(DM dm)
{
  const char *names[4] = {"markerBottom", "markerRight", "markerTop", "markerLeft"};
  PetscInt    ids[4]   = {1, 2, 3, 4};
  DMLabel     label;
  IS          is;
  PetscInt    f;

  PetscFunctionBeginUser;
  for (f = 0; f < 4; ++f) {
    PetscCall(DMCreateLabel(dm, names[f]));
    PetscCall(DMGetStratumIS(dm, "marker", ids[f], &is));
    if (!is) continue;
    PetscCall(DMGetLabel(dm, names[f], &label));
    PetscCall(DMLabelInsertIS(label, is, 1));
    PetscCall(ISDestroy(&is));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
{
  DM cdm;

  PetscFunctionBeginUser;
  PetscCall(DMCreate(comm, dm));
  PetscCall(DMSetType(*dm, DMPLEX));
  PetscCall(DMSetFromOptions(*dm));
  cdm = *dm;
  while (cdm) {
    PetscCall(CreateSplitLabels(cdm));
    PetscCall(DMGetCoarseDM(cdm, &cdm));
  }
  PetscCall(DMViewFromOptions(*dm, NULL, "-dm_view"));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
{
  PetscErrorCode (*exactFunc)(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
  PetscDS        prob;
  DMLabel        label;
  const PetscInt id = 1;
  PetscInt       dim, comp;
  Parameter     *ctx;
  void          *data;

  PetscFunctionBeginUser;
  PetscCall(DMGetDimension(dm, &dim));
  PetscCall(DMGetDS(dm, &prob));
  switch (user->solType) {
  case SOLKX:
    PetscCall(PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_kx));
    PetscCall(PetscDSSetResidual(prob, 1, stokes_mass, f1_zero));
    PetscCall(PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx));
    PetscCall(PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL));
    PetscCall(PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL));
    PetscCall(PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx));
    PetscCall(PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_kx, NULL, NULL, NULL));
    break;
  case SOLCX:
    PetscCall(PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_cx));
    PetscCall(PetscDSSetResidual(prob, 1, stokes_mass, f1_zero));
    PetscCall(PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_cx));
    PetscCall(PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL));
    PetscCall(PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL));
    PetscCall(PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_cx));
    PetscCall(PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_cx, NULL, NULL, NULL));
    break;
  default:
    SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
  }
  PetscCall(PetscBagGetData(user->bag, &data));
  switch (dim) {
  case 2:
    switch (user->solType) {
    case SOLKX:
      PetscCall(PetscDSSetExactSolution(prob, 0, SolKxSolutionVelocity, data));
      PetscCall(PetscDSSetExactSolution(prob, 1, SolKxSolutionPressure, data));
      break;
    case SOLCX:
      PetscCall(PetscDSSetExactSolution(prob, 0, SolCxSolutionVelocity, data));
      PetscCall(PetscDSSetExactSolution(prob, 1, SolCxSolutionPressure, data));
      break;
    default:
      SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
    }
    break;
  default:
    SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
  }
  /* Setup constants */
  {
    Parameter *param;

    PetscCall(PetscBagGetData(user->bag, (void **)&param));
    switch (user->solType) {
    case SOLKX: {
      PetscScalar constants[3];

      constants[0] = param->m;
      constants[1] = param->n;
      constants[2] = param->B;
      PetscCall(PetscDSSetConstants(prob, 3, constants));
    } break;
    case SOLCX: {
      PetscScalar constants[5];

      constants[0] = param->m;
      constants[1] = param->n;
      constants[2] = param->etaA;
      constants[3] = param->etaB;
      constants[4] = param->xc;
      PetscCall(PetscDSSetConstants(prob, 5, constants));
    } break;
    default:
      SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_SUP, "No parameter information for solution type %d", user->solType);
    }
  }
  /* Setup Boundary Conditions */
  PetscCall(PetscDSGetExactSolution(prob, 0, &exactFunc, (void **)&ctx));
  comp = 1;
  PetscCall(DMGetLabel(dm, "markerBottom", &label));
  PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallB", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
  comp = 0;
  PetscCall(DMGetLabel(dm, "markerRight", &label));
  PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallR", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
  comp = 1;
  PetscCall(DMGetLabel(dm, "markerTop", &label));
  PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallT", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
  comp = 0;
  PetscCall(DMGetLabel(dm, "markerLeft", &label));
  PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallL", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode CreatePressureNullSpace(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullspace)
{
  Vec vec;
  PetscErrorCode (*funcs[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx) = {zero, one};

  PetscFunctionBeginUser;
  PetscCheck(origField == 1, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Field %" PetscInt_FMT " should be 1 for pressure", origField);
  funcs[field] = one;
  {
    PetscDS ds;
    PetscCall(DMGetDS(dm, &ds));
    PetscCall(PetscObjectViewFromOptions((PetscObject)ds, NULL, "-ds_view"));
  }
  PetscCall(DMCreateGlobalVector(dm, &vec));
  PetscCall(DMProjectFunction(dm, 0.0, funcs, NULL, INSERT_ALL_VALUES, vec));
  PetscCall(VecNormalize(vec, NULL));
  PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)dm), PETSC_FALSE, 1, &vec, nullspace));
  PetscCall(VecDestroy(&vec));
  /* New style for field null spaces */
  {
    PetscObject  pressure;
    MatNullSpace nullspacePres;

    PetscCall(DMGetField(dm, field, NULL, &pressure));
    PetscCall(MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullspacePres));
    PetscCall(PetscObjectCompose(pressure, "nullspace", (PetscObject)nullspacePres));
    PetscCall(MatNullSpaceDestroy(&nullspacePres));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
{
  DM             cdm = dm;
  PetscFE        fe[2];
  DMPolytopeType ct;
  PetscInt       dim, cStart;
  PetscBool      simplex;

  PetscFunctionBeginUser;
  PetscCall(DMGetDimension(dm, &dim));
  PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
  PetscCall(DMPlexGetCellType(dm, cStart, &ct));
  simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct) + 1 ? PETSC_TRUE : PETSC_FALSE;
  /* Create discretization of solution fields */
  PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, dim, simplex, "vel_", PETSC_DEFAULT, &fe[0]));
  PetscCall(PetscObjectSetName((PetscObject)fe[0], "velocity"));
  PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "pres_", PETSC_DEFAULT, &fe[1]));
  PetscCall(PetscFECopyQuadrature(fe[0], fe[1]));
  PetscCall(PetscObjectSetName((PetscObject)fe[1], "pressure"));
  /* Set discretization and boundary conditions for each mesh */
  PetscCall(DMSetField(dm, 0, NULL, (PetscObject)fe[0]));
  PetscCall(DMSetField(dm, 1, NULL, (PetscObject)fe[1]));
  PetscCall(DMCreateDS(dm));
  PetscCall(SetupProblem(dm, user));
  while (cdm) {
    PetscCall(DMCopyDisc(dm, cdm));
    PetscCall(DMSetNullSpaceConstructor(cdm, 1, CreatePressureNullSpace));
    PetscCall(DMGetCoarseDM(cdm, &cdm));
  }
  PetscCall(PetscFEDestroy(&fe[0]));
  PetscCall(PetscFEDestroy(&fe[1]));
  {
    PetscObject  pressure;
    MatNullSpace nullSpacePres;

    PetscCall(DMGetField(dm, 1, NULL, &pressure));
    PetscCall(MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullSpacePres));
    PetscCall(PetscObjectCompose(pressure, "nullspace", (PetscObject)nullSpacePres));
    PetscCall(MatNullSpaceDestroy(&nullSpacePres));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

/* Add a vector in the nullspace to make the continuum integral 0.

   If int(u) = a and int(n) = b, then int(u - a/b n) = a - a/b b = 0
*/
static void pressure(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar p[])
{
  p[0] = u[uOff[1]];
}
static PetscErrorCode CorrectDiscretePressure(DM dm, MatNullSpace nullspace, Vec u, AppCtx *user)
{
  PetscDS     ds;
  const Vec  *nullvecs;
  PetscScalar pintd, intc[2], intn[2];
  MPI_Comm    comm;

  PetscFunctionBeginUser;
  PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
  PetscCall(DMGetDS(dm, &ds));
  PetscCall(PetscDSSetObjective(ds, 1, pressure));
  PetscCall(MatNullSpaceGetVecs(nullspace, NULL, NULL, &nullvecs));
  PetscCall(VecDot(nullvecs[0], u, &pintd));
  PetscCheck(PetscAbsScalar(pintd) <= PETSC_SMALL, comm, PETSC_ERR_ARG_WRONG, "Discrete integral of pressure: %g", (double)PetscRealPart(pintd));
  PetscCall(DMPlexComputeIntegralFEM(dm, nullvecs[0], intn, user));
  PetscCall(DMPlexComputeIntegralFEM(dm, u, intc, user));
  PetscCall(VecAXPY(u, -intc[1] / intn[1], nullvecs[0]));
  PetscCall(DMPlexComputeIntegralFEM(dm, u, intc, user));
  PetscCheck(PetscAbsScalar(intc[1]) <= PETSC_SMALL, comm, PETSC_ERR_ARG_WRONG, "Continuum integral of pressure after correction: %g", (double)PetscRealPart(intc[1]));
  PetscFunctionReturn(PETSC_SUCCESS);
}

static PetscErrorCode SNESConvergenceCorrectPressure(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *user)
{
  PetscFunctionBeginUser;
  PetscCall(SNESConvergedDefault(snes, it, xnorm, gnorm, f, reason, user));
  if (*reason > 0) {
    DM           dm;
    Mat          J;
    Vec          u;
    MatNullSpace nullspace;

    PetscCall(SNESGetDM(snes, &dm));
    PetscCall(SNESGetSolution(snes, &u));
    PetscCall(SNESGetJacobian(snes, &J, NULL, NULL, NULL));
    PetscCall(MatGetNullSpace(J, &nullspace));
    PetscCheck(nullspace, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "SNES Jacobian has no attached null space");
    PetscCall(CorrectDiscretePressure(dm, nullspace, u, (AppCtx *)user));
  }
  PetscFunctionReturn(PETSC_SUCCESS);
}

int main(int argc, char **argv)
{
  SNES         snes;      /* nonlinear solver */
  DM           dm;        /* problem definition */
  Vec          u, r;      /* solution, residual vectors */
  Mat          J, M;      /* Jacobian and preconditiong matrix */
  MatNullSpace nullSpace; /* May be necessary for pressure */
  AppCtx       user;      /* user-defined work context */
  PetscErrorCode (*initialGuess[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx) = {zero, zero};

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &argv, NULL, help));
  PetscCall(ProcessOptions(PETSC_COMM_WORLD, &user));
  PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
  PetscCall(CreateMesh(PETSC_COMM_WORLD, &user, &dm));
  PetscCall(SNESSetDM(snes, dm));
  PetscCall(DMSetApplicationContext(dm, &user));
  /* Setup problem parameters */
  PetscCall(PetscBagCreate(PETSC_COMM_WORLD, sizeof(Parameter), &user.bag));
  PetscCall(SetUpParameters(&user));
  /* Setup problem */
  PetscCall(SetupDiscretization(dm, &user));
  PetscCall(DMPlexCreateClosureIndex(dm, NULL));

  PetscCall(DMCreateGlobalVector(dm, &u));
  PetscCall(VecDuplicate(u, &r));

  PetscCall(DMPlexSetSNESLocalFEM(dm, PETSC_FALSE, &user));
  PetscCall(CreatePressureNullSpace(dm, 1, 1, &nullSpace));

  { /* set tolerances */
    KSP ksp;

    PetscCall(SNESGetKSP(snes, &ksp));
    PetscCall(KSPSetTolerances(ksp, 1.e-2 * PETSC_SMALL, PETSC_SMALL, PETSC_CURRENT, PETSC_CURRENT));
  }

  /* There should be a way to express this using the DM */
  PetscCall(SNESSetFromOptions(snes));
  PetscCall(SNESSetUp(snes));
  PetscCall(SNESGetJacobian(snes, &J, &M, NULL, NULL));
  PetscCall(MatSetNullSpace(J, nullSpace));
  PetscCall(PetscObjectSetOptionsPrefix((PetscObject)M, "prec_"));
  PetscCall(MatSetFromOptions(M));
  PetscCall(SNESSetConvergenceTest(snes, SNESConvergenceCorrectPressure, &user, NULL));

  PetscCall(DMSNESCheckFromOptions(snes, u));
  PetscCall(DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u));
  PetscCall(PetscObjectSetName((PetscObject)u, "Solution"));
  PetscCall(SNESSolve(snes, NULL, u));
  {
    PetscErrorCode (*exacts[2])(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
    void   *ectxs[2];
    PetscDS ds;
    Vec     e;

    PetscCall(DMGetDS(dm, &ds));
    PetscCall(PetscDSGetExactSolution(ds, 0, &exacts[0], &ectxs[0]));
    PetscCall(PetscDSGetExactSolution(ds, 1, &exacts[1], &ectxs[1]));

    PetscCall(DMGetGlobalVector(dm, &e));
    PetscCall(PetscObjectCompose((PetscObject)e, "__Vec_bc_zero__", (PetscObject)dm));
    PetscCall(DMPlexComputeL2DiffVec(dm, 0.0, exacts, ectxs, u, e));
    PetscCall(PetscObjectSetName((PetscObject)e, "Solution Error"));
    PetscCall(VecViewFromOptions(e, NULL, "-error_vec_view"));
    PetscCall(PetscObjectCompose((PetscObject)e, "__Vec_bc_zero__", NULL));
    PetscCall(DMRestoreGlobalVector(dm, &e));
  }
  PetscCall(VecViewFromOptions(u, NULL, "-sol_vec_view"));

  PetscCall(MatNullSpaceDestroy(&nullSpace));
  PetscCall(VecDestroy(&u));
  PetscCall(VecDestroy(&r));
  PetscCall(SNESDestroy(&snes));
  PetscCall(DMDestroy(&dm));
  PetscCall(PetscBagDestroy(&user.bag));
  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

  # 2D serial discretization tests
  test:
    suffix: p2p1
    requires: triangle
    args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged -dmsnes_check .001 \
      -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type lu \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
  test:
    suffix: p2p1_gmg
    TODO: broken (requires subDMs hooks)
    requires: triangle
    args: -dm_plex_separate_marker -dm_refine_hierarchy 2 -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged -dmsnes_check .001 \
      -ksp_type fgmres -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type mg \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
  test:
    suffix: p2p1_conv
    requires: triangle
    # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.2]
    args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
      -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type lu \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
  test:
    suffix: q2q1_conv
    # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.1]
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
      -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type lu \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
  test:
    suffix: q1p0_conv
    # -dm_refine 2 gives L_2 convergence rate: [2.0, 1.0]
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 1 -pres_petscspace_degree 0 \
      -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
      -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type lu \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
  test:
    suffix: q2p1_conv
    # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.0]
    args: -dm_plex_simplex 0 -dm_plex_separate_marker \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 \
      -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
      -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
      -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
        -fieldsplit_velocity_pc_type lu \
        -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu

  # FETI-DP tests
  testset:
    output_file: output/ex69_q2p1fetidp.out
    suffix: q2p1fetidp
    requires: !single
    nsize: 5
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type svd -fetidp_bddc_pc_bddc_dirichlet_pc_type svd -fetidp_bddc_pc_bddc_neumann_pc_type svd
    test:
      suffix: aij
      args: -mat_is_localmat_type aij
    test:
      requires: viennacl !CUDA_VERSION_11PLUS
      TODO: broken
      suffix: aijviennacl
      args: -mat_is_localmat_type aijviennacl
    test:
      requires: cuda
      suffix: aijcusparse
      args: -mat_is_localmat_type aijcusparse

  testset:
    suffix: q2p1fetidp_deluxe
    output_file: output/ex69_q2p1fetidp_deluxe.out
    requires: mumps double
    nsize: 5
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_use_deluxe_scaling -fetidp_bddc_pc_bddc_deluxe_singlemat -fetidp_bddc_pc_bddc_deluxe_zerorows \
      -fetidp_bddc_sub_schurs_mat_solver_type mumps -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type svd
    test:
      suffix: aij
      args: -mat_is_localmat_type aij
    test:
      suffix: aij_seqdense
      args: -mat_is_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
    test:
      requires: viennacl !CUDA_VERSION_11PLUS
      suffix: aijviennacl
      args: -mat_is_localmat_type aijviennacl
    test:
      requires: cuda
      suffix: aijcusparse
      args: -mat_is_localmat_type aijcusparse

  testset:
    suffix: q2p1fetidp_deluxe_adaptive
    output_file: output/ex69_q2p1fetidp_deluxe_adaptive.out
    requires: mumps double
    nsize: 5
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_use_deluxe_scaling -fetidp_bddc_pc_bddc_deluxe_singlemat -fetidp_bddc_pc_bddc_adaptive_userdefined -fetidp_bddc_pc_bddc_adaptive_threshold 1.3 \
      -fetidp_bddc_sub_schurs_mat_solver_type mumps -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type svd
    test:
      suffix: aij
      args: -mat_is_localmat_type aij
    test:
      suffix: aij_seqdense
      args: -mat_is_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
    test:
      requires: viennacl !CUDA_VERSION_11PLUS
      suffix: aijviennacl
      args: -mat_is_localmat_type aijviennacl
    test:
      requires: cuda
      suffix: aijcusparse
      args: -mat_is_localmat_type aijcusparse

  test:
    suffix: p2p1fetidp
    requires: triangle
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_dirichlet_pc_type svd -fetidp_bddc_pc_bddc_neumann_pc_type svd

  test:
    suffix: p2p1fetidp_allp
    requires: triangle
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag -ksp_fetidp_pressure_all \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_dirichlet_pc_type svd -fetidp_bddc_pc_bddc_neumann_pc_type svd

  test:
    suffix: p2p1fetidp_discharm
    requires: triangle
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag -fetidp_pc_discrete_harmonic -fetidp_harmonic_pc_type cholesky \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_dirichlet_pc_type none -fetidp_bddc_pc_bddc_neumann_pc_type svd

  test:
    suffix: p2p1fetidp_lumped
    requires: triangle
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag -fetidp_pc_lumped \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_dirichlet_pc_type none -fetidp_bddc_pc_bddc_neumann_pc_type svd

  test:
    suffix: p2p1fetidp_deluxe
    requires: triangle mumps
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_use_deluxe_scaling -fetidp_bddc_pc_bddc_deluxe_singlemat \
      -fetidp_bddc_sub_schurs_mat_solver_type mumps -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_sub_schurs_posdef 0

  test:
    suffix: p2p1fetidp_deluxe_discharm
    requires: triangle mumps
    nsize: 4
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
      -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_type preonly \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_use_deluxe_scaling -fetidp_bddc_pc_bddc_deluxe_singlemat \
       -fetidp_bddc_sub_schurs_mat_solver_type mumps -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_sub_schurs_posdef 0  -fetidp_bddc_sub_schurs_discrete_harmonic

  testset:
    nsize: 4
    requires: triangle
    output_file: output/ex69_p2p1fetidp_olof.out
    args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
      -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
      -snes_error_if_not_converged \
      -ksp_error_if_not_converged \
      -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_discrete_harmonic 1 -fetidp_harmonic_pc_type cholesky -ksp_fetidp_pressure_schur \
      -fetidp_fieldsplit_p_pc_type bddc -fetidp_fieldsplit_p_pc_bddc_dirichlet_pc_type none -fetidp_fieldsplit_p_ksp_type preonly \
      -fetidp_fieldsplit_lag_ksp_error_if_not_converged 0 -fetidp_fieldsplit_lag_ksp_type chebyshev -fetidp_fieldsplit_lag_ksp_max_it 2 \
      -fetidp_bddc_pc_bddc_detect_disconnected -fetidp_bddc_pc_bddc_symmetric -fetidp_bddc_pc_bddc_vertex_size 3 -fetidp_bddc_pc_bddc_graph_maxcount 2 -fetidp_bddc_pc_bddc_coarse_redundant_pc_type cholesky -fetidp_bddc_pc_bddc_dirichlet_pc_type none -fetidp_bddc_pc_bddc_neumann_pc_type svd
    test:
      suffix: p2p1fetidp_olof_full
      args: -fetidp_pc_fieldsplit_schur_fact_type full
    test:
      suffix: p2p1fetidp_olof_diag
      args: -fetidp_pc_fieldsplit_schur_fact_type diag
    test:
      suffix: p2p1fetidp_olof_additive
      args: -fetidp_pc_fieldsplit_type additive

  #BDDC with benign trick
  testset:
    suffix: q2p1bddc
    output_file: output/ex69_q2p1fetidp_deluxe.out
    nsize: 5
    args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 -petscds_jac_pre 0 -snes_error_if_not_converged -ksp_error_if_not_converged -ksp_type cg -ksp_norm_type natural -pc_type bddc -pc_bddc_benign_trick -pc_bddc_nonetflux -pc_bddc_detect_disconnected -pc_bddc_vertex_size 2 -pc_bddc_coarse_redundant_pc_type svd -pc_bddc_use_qr_single
    test:
      requires: double
      suffix: benign_card
      # no native support for saddle point factorizations from PETSc
      args: -pc_bddc_dirichlet_pc_type svd -pc_bddc_neumann_pc_type svd
    test:
      requires: mumps double
      suffix: benign_deluxe_mumps
      args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mumps -sub_schurs_mat_mumps_icntl_14 1000
    test:
      requires: mumps double
      suffix: benign_deluxe_adaptive_mumps
      args: -pc_bddc_adaptive_threshold 1.7 -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mumps -sub_schurs_mat_mumps_icntl_14 1000
    test:
      TODO: broken (INDEFINITE PC)
      requires: mkl_pardiso double !complex
      suffix: benign_deluxe_mkl
      args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mkl_pardiso -snes_rtol 1.e-7
    test:
      TODO: broken (INDEFINITE PC)
      requires: mkl_pardiso double !complex
      suffix: benign_deluxe_adaptive_mkl
      args: -pc_bddc_adaptive_threshold 1.7 -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mkl_pardiso -snes_rtol 1.e-7

TEST*/