Actual source code: ex69.c
1: static char help[] = "The variable-viscosity Stokes Problem in 2d with finite elements.\n\
2: We solve the Stokes problem in a square domain\n\
3: and compare against exact solutions from Mirko Velic.\n\n\n";
5: /* We discretize the variable-viscosity Stokes problem using the finite element method on an unstructured mesh. The weak form equations are
6: \begin{align*}
7: (\nabla v, \mu (\nabla u + {\nabla u}^T)) - (\nabla\cdot v, p) + (v, f) &= 0 \\
8: (q, \nabla\cdot u) &= 0
9: \end{align*}
10: Free slip conditions for velocity are enforced on every wall. The pressure is constrained to have zero integral over the domain.
12: To produce nice output, use
14: -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
15: */
17: #include <petscdmplex.h>
18: #include <petscsnes.h>
19: #include <petscds.h>
20: #include <petscbag.h>
22: typedef enum {
23: SOLKX,
24: SOLCX,
25: NUM_SOL_TYPES
26: } SolutionType;
27: const char *solTypes[NUM_SOL_TYPES + 1] = {"solkx", "solcx", "unknown"};
29: typedef struct {
30: PetscInt n, m; /* x- and y-wavelengths for variation across the domain */
31: /* SolKx */
32: PetscReal B; /* Exponential scale for viscosity variation */
33: /* SolCx */
34: PetscReal etaA, etaB; /* Two viscosities for discontinuous change */
35: PetscReal xc; /* The location of viscosity jump */
36: } Parameter;
38: typedef struct {
39: SolutionType solType; /* The type of exact solution */
40: PetscBag bag; /* Holds problem parameters */
41: } AppCtx;
43: static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
44: {
45: PetscInt c;
46: for (c = 0; c < Nc; ++c) u[c] = 0.0;
47: return PETSC_SUCCESS;
48: }
49: static PetscErrorCode one(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
50: {
51: PetscInt c;
52: for (c = 0; c < Nc; ++c) u[c] = 1.0;
53: return PETSC_SUCCESS;
54: }
56: 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[])
57: {
58: f0[0] = 0.0;
59: f0[1] = -PetscSinScalar(constants[1] * PETSC_PI * x[1]) * PetscCosScalar(constants[0] * PETSC_PI * x[0]);
60: }
62: 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[])
63: {
64: const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
65: PetscInt c, d;
67: for (c = 0; c < dim; ++c) {
68: for (d = 0; d < dim; ++d) f1[c * dim + d] = mu * (u_x[c * dim + d] + u_x[d * dim + c]);
69: f1[c * dim + c] -= u[dim];
70: }
71: }
73: 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[])
74: {
75: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
76: PetscInt c, d;
78: for (c = 0; c < dim; ++c) {
79: for (d = 0; d < dim; ++d) f1[c * dim + d] = mu * (u_x[c * dim + d] + u_x[d * dim + c]);
80: f1[c * dim + c] -= u[dim];
81: }
82: }
84: 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[])
85: {
86: PetscInt d;
87: f0[0] = 0.0;
88: for (d = 0; d < dim; ++d) f0[0] -= u_x[d * dim + d];
89: }
91: 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[])
92: {
93: PetscInt d;
94: for (d = 0; d < dim * dim; ++d) f1[d] = 0.0;
95: }
97: /* < q, \nabla\cdot u >, J_{pu} */
98: 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[])
99: {
100: PetscInt d;
101: for (d = 0; d < dim; ++d) g1[d * dim + d] = -1.0; /* \frac{\partial\phi^{u_d}}{\partial x_d} */
102: }
104: /* -< \nabla\cdot v, p >, J_{up} */
105: 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[])
106: {
107: PetscInt d;
108: for (d = 0; d < dim; ++d) g2[d * dim + d] = -1.0; /* \frac{\partial\psi^{u_d}}{\partial x_d} */
109: }
111: /* < \nabla v, \nabla u + {\nabla u}^T >, J_{uu}
112: This just gives \nabla u, give the perdiagonal for the transpose */
113: 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[])
114: {
115: const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
116: PetscInt cI, d;
118: for (cI = 0; cI < dim; ++cI) {
119: for (d = 0; d < dim; ++d) {
120: g3[((cI * dim + cI) * dim + d) * dim + d] += mu; /*g3[cI, cI, d, d]*/
121: g3[((cI * dim + d) * dim + d) * dim + cI] += mu; /*g3[cI, d, d, cI]*/
122: }
123: }
124: }
125: 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[])
126: {
127: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
128: PetscInt cI, d;
130: for (cI = 0; cI < dim; ++cI) {
131: for (d = 0; d < dim; ++d) {
132: g3[((cI * dim + cI) * dim + d) * dim + d] += mu; /*g3[cI, cI, d, d]*/
133: g3[((cI * dim + d) * dim + d) * dim + cI] += mu; /*g3[cI, d, d, cI]*/
134: }
135: }
136: }
138: /* 1/mu < q, I q >, Jp_{pp} */
139: 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[])
140: {
141: const PetscReal mu = PetscExpReal(2.0 * PetscRealPart(constants[2]) * x[0]);
142: g0[0] = 1.0 / mu;
143: }
145: 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[])
146: {
147: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
148: g0[0] = 1.0 / mu;
149: }
151: /*
152: SolKxSolution - Exact Stokes solutions for exponentially varying viscosity
154: Input Parameters:
155: + pos - The (x,z) coordinate at which to evaluate the solution
156: . n - The constant defining the x-dependence of the forcing function
157: . m - The constant defining the z-dependence of the forcing function
158: - B - The viscosity coefficient
160: Output Parameters:
161: + vel - The (x,z)-velocity at (x,z), or NULL
162: . p - The pressure at (x,z), or NULL
163: . s - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
164: . gamma - The strain rate, or NULL
165: - mu - The viscosity at (x,z), or NULL
167: Note:
168: .vb
169: The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
170: conditions everywhere. The forcing term f is given by
172: fx = 0
173: fz = sigma*sin(km*z)*cos(kn*x)
175: where
177: km = m*Pi (m may be non-integral)
178: kn = n*Pi
180: meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
181: The viscosity eta is exp(2*B*x).
182: .ve
184: */
185: static PetscErrorCode SolKxSolution(const PetscReal pos[], PetscReal m, PetscInt n, PetscReal B, PetscScalar vel[], PetscScalar *p, PetscScalar s[], PetscScalar gamma[], PetscScalar *mu)
186: {
187: PetscReal sigma = 1.0;
188: PetscReal Z;
189: PetscReal u1, u2, u3, u4, u5, u6;
190: PetscReal sum1, sum2, sum3, sum4, sum5, sum6;
191: PetscReal kn, km, x, z;
192: PetscReal _PC1, _PC2, _PC3, _PC4;
193: PetscReal Rp, UU, VV;
194: PetscReal a, b, r, _aa, _bb, AA, BB, Rm;
195: PetscReal num1, num2, num3, num4, den1;
197: PetscReal t1, t2, t3, t4, t5, t6, t7, t8, t9, t10;
198: PetscReal t11, t12, t13, t14, t15, t16, t17, t18, t19, t20;
199: PetscReal t21, t22, t23, t24, t25, t26, t27, t28, t29, t30;
200: PetscReal t31, t32, t33, t34, t35, t36, t37, t38, t39, t40;
201: PetscReal t41, t42, t43, t44, t45, t46, t47, t49, t51, t53;
202: PetscReal t56, t58, t61, t62, t63, t64, t65, t66, t67, t68;
203: PetscReal t69, t70, t71, t72, t73, t74, t75, t76, t77, t78;
204: PetscReal t79, t80, t81, t82, t83, t84, t85, t86, t87, t88;
205: PetscReal t89, t90, t91, t92, t93, t94, t95, t96, t97, t99;
206: PetscReal t100, t101, t103, t104, t105, t106, t107, t108, t109, t110;
207: PetscReal t111, t112, t113, t114, t115, t116, t117, t118, t119, t120;
208: PetscReal t121, t124, t125, t126, t127, t129, t130, t132, t133, t135;
209: PetscReal t136, t138, t140, t141, t142, t143, t152, t160, t162;
211: PetscFunctionBegin;
212: /*************************************************************************/
213: /*************************************************************************/
214: /* rho = -sin(km*z)*cos(kn*x) */
215: x = pos[0];
216: z = pos[1];
217: Z = PetscExpReal(2.0 * B * x);
218: km = m * PETSC_PI; /* solution valid for km not zero -- should get trivial solution if km=0 */
219: kn = (PetscReal)n * PETSC_PI;
220: /*************************************************************************/
221: /*************************************************************************/
222: a = B * B + km * km;
223: b = 2.0 * km * B;
224: r = PetscSqrtReal(a * a + b * b);
225: Rp = PetscSqrtReal((r + a) / 2.0);
226: Rm = PetscSqrtReal((r - a) / 2.0);
227: UU = Rp - B;
228: VV = Rp + B;
230: sum1 = 0.0;
231: sum2 = 0.0;
232: sum3 = 0.0;
233: sum4 = 0.0;
234: sum5 = 0.0;
235: sum6 = 0.0;
236: /*sum7=0.0;*/
238: /*******************************************/
239: /* calculate the constants */
240: /*******************************************/
242: t1 = kn * kn;
243: t4 = km * km;
244: t5 = t4 + t1;
245: t6 = t5 * t5;
246: t8 = pow(km + kn, 0.2e1);
247: t9 = B * B;
248: t16 = pow(km - kn, 0.2e1);
249: _aa = -0.4e1 * B * t1 * sigma * t5 / (t6 + 0.4e1 * t8 * t9) / (t6 + 0.4e1 * t16 * t9);
251: t2 = km * km;
252: t3 = kn * kn;
253: t5 = pow(t2 + t3, 0.2e1);
254: t6 = km - kn;
255: t7 = km + kn;
256: t9 = B * B;
257: t13 = t7 * t7;
258: t19 = t6 * t6;
259: _bb = sigma * kn * (t5 + 0.4e1 * t6 * t7 * t9) / (t5 + 0.4e1 * t13 * t9) / (t5 + 0.4e1 * t19 * t9);
261: AA = _aa;
262: BB = _bb;
264: /*******************************************/
265: /* calculate the velocities etc */
266: /*******************************************/
267: t1 = Rm * Rm;
268: t2 = B - Rp;
269: t4 = Rp + B;
270: t6 = UU * x;
271: t9 = PetscExpReal(t6 - 0.4e1 * Rp);
272: t13 = B * B;
273: t16 = Rp * t1;
274: t18 = Rp * Rp;
275: t19 = B * t18;
276: t20 = t13 * Rp;
277: t22 = kn * kn;
278: t24 = B * t1;
279: t32 = 0.8e1 * t13 * BB * kn * Rp;
280: t34 = 0.2e1 * Rm;
281: t35 = PetscCosReal(t34);
282: t37 = Rp * Rm;
283: t49 = PetscSinReal(t34);
284: t63 = PetscExpReal(t6 - 0.2e1 * Rp);
285: t65 = Rm * t2;
286: t67 = 0.2e1 * B * kn;
287: t68 = B * Rm;
288: t69 = t67 + t68 + t37;
289: t73 = 0.3e1 * t13;
290: t75 = 0.2e1 * B * Rp;
291: t76 = t73 - t75 + t1 - t22 - t18;
292: t78 = t65 * t76 * BB;
293: t80 = Rm - kn;
294: t81 = PetscCosReal(t80);
295: t83 = -t67 + t68 + t37;
296: t88 = Rm + kn;
297: t89 = PetscCosReal(t88);
298: t92 = t65 * t76 * AA;
299: t97 = PetscSinReal(t80);
300: t103 = PetscSinReal(t88);
301: t108 = PetscExpReal(t6 - 0.3e1 * Rp - B);
302: t110 = Rm * t4;
303: t111 = t67 + t68 - t37;
304: t115 = t73 + t75 + t1 - t22 - t18;
305: t117 = t110 * t115 * BB;
306: t120 = -t67 + t68 - t37;
307: t127 = t110 * t115 * AA;
308: t140 = PetscExpReal(t6 - Rp - B);
309: 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;
311: t1 = Rp + B;
312: t2 = Rm * t1;
313: t3 = B * B;
314: t4 = 0.3e1 * t3;
315: t5 = B * Rp;
316: t7 = Rm * Rm;
317: t8 = kn * kn;
318: t9 = Rp * Rp;
319: t10 = t4 + 0.2e1 * t5 + t7 - t8 - t9;
320: t12 = t2 * t10 * AA;
321: t14 = B * Rm;
322: t20 = UU * x;
323: t23 = PetscExpReal(t20 - 0.4e1 * Rp);
324: t25 = Rp * Rm;
325: t32 = Rm * kn;
326: t37 = 0.2e1 * Rm;
327: t38 = PetscCosReal(t37);
328: t40 = t3 * B;
329: t44 = B * t9;
330: t45 = t3 * Rp;
331: t53 = t3 * BB;
332: t58 = PetscSinReal(t37);
333: t69 = PetscExpReal(t20 - 0.2e1 * Rp);
334: t72 = 0.3e1 * t40 * Rm;
335: t73 = t9 * Rp;
336: t74 = t73 * Rm;
337: t75 = t7 * Rm;
338: t76 = B * t75;
339: t77 = t14 * t8;
340: t78 = Rp * t75;
341: t80 = 0.8e1 * t45 * kn;
342: t81 = t25 * t8;
343: t83 = 0.5e1 * t45 * Rm;
344: t84 = t44 * Rm;
345: t85 = t72 - t74 + t76 - t77 + t78 + t80 - t81 + t83 + t84;
346: t88 = 0.2e1 * t9 * t3;
347: t90 = 0.3e1 * t40 * Rp;
348: t91 = t7 * t3;
349: t93 = 0.2e1 * t5 * t32;
350: t94 = t5 * t7;
351: t95 = t5 * t8;
352: t96 = B * t73;
353: t97 = t7 * t9;
354: t100 = 0.2e1 * t3 * Rm * kn;
355: t101 = -t88 + t90 - t91 - t93 - t94 - t95 - t96 - t97 - t100;
356: t105 = Rm - kn;
357: t106 = PetscCosReal(t105);
358: t108 = t72 - t80 + t83 + t76 + t84 - t81 - t74 + t78 - t77;
359: t110 = -t97 - t96 - t88 + t100 + t90 - t95 + t93 - t91 - t94;
360: t114 = Rm + kn;
361: t115 = PetscCosReal(t114);
362: t121 = PetscSinReal(t105);
363: t127 = PetscSinReal(t114);
364: t132 = PetscExpReal(t20 - 0.3e1 * Rp - B);
365: t135 = 0.2e1 * B * kn;
366: t136 = t135 + t14 - t25;
367: t142 = -t135 + t14 - t25;
368: t152 = t2 * t10 * BB;
369: t162 = PetscExpReal(t20 - Rp - B);
370: 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;
372: t1 = Rm * Rm;
373: t2 = B - Rp;
374: t4 = Rp + B;
375: t6 = VV * x;
376: t7 = PetscExpReal(-t6);
377: t11 = kn * kn;
378: t13 = B * t1;
379: t14 = Rp * Rp;
380: t15 = B * t14;
381: t16 = B * B;
382: t17 = t16 * Rp;
383: t21 = Rp * t1;
384: t30 = 0.8e1 * t16 * BB * kn * Rp;
385: t32 = 0.2e1 * Rm;
386: t33 = PetscCosReal(t32);
387: t35 = Rp * Rm;
388: t47 = PetscSinReal(t32);
389: t61 = PetscExpReal(-t6 - 0.2e1 * Rp);
390: t63 = Rm * t2;
391: t65 = 0.2e1 * B * kn;
392: t66 = B * Rm;
393: t67 = t65 + t66 + t35;
394: t71 = 0.3e1 * t16;
395: t73 = 0.2e1 * B * Rp;
396: t74 = t71 - t73 + t1 - t11 - t14;
397: t76 = t63 * t74 * BB;
398: t78 = Rm - kn;
399: t79 = PetscCosReal(t78);
400: t81 = -t65 + t66 + t35;
401: t86 = Rm + kn;
402: t87 = PetscCosReal(t86);
403: t90 = t63 * t74 * AA;
404: t95 = PetscSinReal(t78);
405: t101 = PetscSinReal(t86);
406: t106 = PetscExpReal(-t6 - 0.3e1 * Rp - B);
407: t108 = Rm * t4;
408: t109 = t65 + t66 - t35;
409: t113 = t71 + t73 + t1 - t11 - t14;
410: t115 = t108 * t113 * BB;
411: t118 = -t65 + t66 - t35;
412: t125 = t108 * t113 * AA;
413: t138 = PetscExpReal(-t6 - Rp - B);
414: 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;
416: t1 = B - Rp;
417: t2 = Rm * t1;
418: t3 = B * B;
419: t4 = 0.3e1 * t3;
420: t5 = B * Rp;
421: t7 = Rm * Rm;
422: t8 = kn * kn;
423: t9 = Rp * Rp;
424: t10 = t4 - 0.2e1 * t5 + t7 - t8 - t9;
425: t12 = t2 * t10 * AA;
426: t14 = B * Rm;
427: t20 = VV * x;
428: t21 = PetscExpReal(-t20);
429: t23 = Rp * Rm;
430: t30 = Rm * kn;
431: t35 = 0.2e1 * Rm;
432: t36 = PetscCosReal(t35);
433: t40 = B * t9;
434: t41 = t3 * Rp;
435: t43 = t3 * B;
436: t51 = t3 * BB;
437: t56 = PetscSinReal(t35);
438: t67 = PetscExpReal(-t20 - 0.2e1 * Rp);
439: t70 = 0.2e1 * B * kn;
440: t71 = t70 + t14 + t23;
441: t76 = Rm - kn;
442: t77 = PetscCosReal(t76);
443: t79 = -t70 + t14 + t23;
444: t84 = Rm + kn;
445: t85 = PetscCosReal(t84);
446: t91 = t2 * t10 * BB;
447: t93 = PetscSinReal(t76);
448: t99 = PetscSinReal(t84);
449: t104 = PetscExpReal(-t20 - 0.3e1 * Rp - B);
450: t107 = 0.3e1 * t43 * Rm;
451: t108 = t9 * Rp;
452: t109 = t108 * Rm;
453: t110 = t7 * Rm;
454: t111 = B * t110;
455: t112 = t14 * t8;
456: t113 = Rp * t110;
457: t115 = 0.8e1 * t41 * kn;
458: t116 = t23 * t8;
459: t118 = 0.5e1 * t41 * Rm;
460: t119 = t40 * Rm;
461: t120 = t107 + t109 + t111 - t112 - t113 - t115 + t116 - t118 + t119;
462: t124 = 0.2e1 * t3 * Rm * kn;
463: t125 = t5 * t8;
464: t126 = B * t108;
465: t127 = t7 * t9;
466: t129 = 0.2e1 * t9 * t3;
467: t130 = t5 * t7;
468: t132 = 0.3e1 * t43 * Rp;
469: t133 = t7 * t3;
470: t135 = 0.2e1 * t5 * t30;
471: t136 = t124 - t125 - t126 + t127 + t129 - t130 + t132 + t133 - t135;
472: t141 = t107 + t115 - t118 + t111 + t119 + t116 + t109 - t113 - t112;
473: t143 = t132 + t129 - t125 + t133 + t127 - t124 - t130 - t126 + t135;
474: t160 = PetscExpReal(-t20 - Rp - B);
475: 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;
477: t1 = Rm * Rm;
478: t2 = Rp * Rp;
479: t3 = t1 * t2;
480: t4 = B * B;
481: t5 = t1 * t4;
482: t9 = PetscExpReal(-0.4e1 * Rp);
483: t15 = PetscCosReal(0.2e1 * Rm);
484: t22 = PetscExpReal(-0.2e1 * Rp);
485: 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;
487: _PC1 = num1 / den1;
488: _PC2 = num2 / den1;
489: _PC3 = num3 / den1;
490: _PC4 = num4 / den1;
492: t1 = Rm * x;
493: t2 = PetscCosReal(t1);
494: t4 = PetscSinReal(t1);
495: t10 = PetscExpReal(-0.2e1 * x * B);
496: t12 = kn * x;
497: t13 = PetscCosReal(t12);
498: t16 = PetscSinReal(t12);
499: u1 = -km * (_PC1 * t2 + _PC2 * t4 + _PC3 * t2 + _PC4 * t4 + t10 * AA * t13 + t10 * BB * t16);
501: t2 = Rm * x;
502: t3 = PetscCosReal(t2);
503: t6 = PetscSinReal(t2);
504: t22 = PetscExpReal(-0.2e1 * x * B);
505: t23 = B * t22;
506: t24 = kn * x;
507: t25 = PetscCosReal(t24);
508: t29 = PetscSinReal(t24);
509: 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;
511: t3 = PetscExpReal(0.2e1 * x * B);
512: t4 = t3 * B;
513: t8 = km * km;
514: t9 = t3 * t8;
515: t11 = 0.3e1 * t9 * Rm;
516: t12 = Rm * Rm;
517: t14 = t3 * t12 * Rm;
518: t15 = UU * UU;
519: t19 = 0.4e1 * t4 * UU * Rm - t11 - t14 + 0.3e1 * t3 * t15 * Rm;
520: t20 = Rm * x;
521: t21 = PetscSinReal(t20);
522: t27 = 0.2e1 * B * t9;
523: t33 = 0.2e1 * t4 * t12;
524: t36 = 0.3e1 * t3 * UU * t12 - t27 - 0.2e1 * t4 * t15 + 0.3e1 * t9 * UU + t33 - t3 * t15 * UU;
525: t37 = PetscCosReal(t20);
526: t49 = VV * VV;
527: t53 = -0.4e1 * t4 * VV * Rm - t11 + 0.3e1 * t3 * t49 * Rm - t14;
528: t64 = t3 * t49 * VV + t33 - 0.3e1 * t9 * VV - 0.2e1 * t4 * t49 - t27 - 0.3e1 * t3 * VV * t12;
529: t76 = B * t8;
530: t80 = kn * kn;
531: t83 = B * B;
532: t87 = t80 * kn;
533: t90 = kn * x;
534: t91 = PetscSinReal(t90);
535: t106 = PetscCosReal(t90);
536: 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;
538: t3 = PetscExpReal(0.2e1 * x * B);
539: t4 = km * km;
540: t5 = t3 * t4;
541: t6 = Rm * x;
542: t7 = PetscCosReal(t6);
543: t8 = _PC1 * t7;
544: t10 = PetscSinReal(t6);
545: t11 = _PC2 * t10;
546: t13 = _PC3 * t7;
547: t15 = _PC4 * t10;
548: t18 = kn * x;
549: t19 = PetscCosReal(t18);
550: t22 = PetscSinReal(t18);
551: t24 = UU * UU;
552: t25 = t3 * t24;
553: t28 = t3 * UU;
554: t38 = Rm * Rm;
555: t39 = t7 * t38;
556: t42 = t10 * t38;
557: 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;
558: t45 = VV * VV;
559: t46 = t3 * t45;
560: t49 = t3 * VV;
561: t62 = B * B;
562: t78 = kn * kn;
563: 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;
564: u4 = t44 + t82;
566: t3 = PetscExpReal(0.2e1 * x * B);
567: t4 = t3 * B;
568: t8 = km * km;
569: t9 = t3 * t8;
570: t10 = t9 * Rm;
571: t11 = Rm * Rm;
572: t13 = t3 * t11 * Rm;
573: t14 = UU * UU;
574: t18 = 0.4e1 * t4 * UU * Rm - t10 - t13 + 0.3e1 * t3 * t14 * Rm;
575: t19 = Rm * x;
576: t20 = PetscSinReal(t19);
577: t26 = 0.2e1 * B * t9;
578: t31 = 0.2e1 * t4 * t11;
579: t34 = 0.3e1 * t3 * UU * t11 - t26 - 0.2e1 * t4 * t14 + t9 * UU + t31 - t3 * t14 * UU;
580: t35 = PetscCosReal(t19);
581: t47 = VV * VV;
582: t51 = -0.4e1 * t4 * VV * Rm - t10 + 0.3e1 * t3 * t47 * Rm - t13;
583: t61 = t3 * t47 * VV + t31 - t9 * VV - 0.2e1 * t4 * t47 - t26 - 0.3e1 * t3 * VV * t11;
584: t72 = B * t8;
585: t76 = kn * kn;
586: t79 = B * B;
587: t83 = t76 * kn;
588: t86 = kn * x;
589: t87 = PetscSinReal(t86);
590: t101 = PetscCosReal(t86);
591: 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;
593: t3 = PetscExpReal(0.2e1 * x * B);
594: t4 = UU * UU;
595: t8 = km * km;
596: t9 = t3 * t8;
597: t10 = t9 * Rm;
598: t11 = Rm * Rm;
599: t13 = t3 * t11 * Rm;
600: t14 = t3 * B;
601: t18 = 0.3e1 * t3 * t4 * Rm + t10 - t13 + 0.4e1 * t14 * UU * Rm;
602: t19 = Rm * x;
603: t20 = PetscSinReal(t19);
604: t28 = 0.2e1 * B * t9;
605: t33 = 0.2e1 * t14 * t11;
606: t34 = -0.2e1 * t4 * t14 + 0.3e1 * t3 * UU * t11 - t28 - t3 * t4 * UU - t9 * UU + t33;
607: t35 = PetscCosReal(t19);
608: t47 = VV * VV;
609: t51 = -0.4e1 * t14 * VV * Rm - t13 + t10 + 0.3e1 * t3 * t47 * Rm;
610: t61 = -0.3e1 * t3 * VV * t11 + t33 + t3 * t47 * VV + t9 * VV - 0.2e1 * t14 * t47 - t28;
611: t71 = kn * kn;
612: t74 = B * B;
613: t80 = t71 * kn;
614: t83 = kn * x;
615: t84 = PetscSinReal(t83);
616: t96 = PetscCosReal(t83);
617: 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;
619: /* 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))); */
621: /* u1 = Vx, u2 = Vz, u3 = txx, u4 = tzx, u5 = pressure, u6 = tzz */
623: sum5 += u5 * PetscCosReal(km * z); /* pressure */
624: sum6 += u6 * PetscCosReal(km * z); /* zz total stress */
626: u1 *= PetscCosReal(km * z); /* x velocity */
627: sum1 += u1;
628: u2 *= PetscSinReal(km * z); /* z velocity */
629: sum2 += u2;
631: u3 *= PetscCosReal(km * z); /* xx total stress */
632: sum3 += u3;
633: u4 *= PetscSinReal(km * z); /* zx stress */
634: sum4 += u4;
636: /* rho = -sigma*sin(km*z)*cos(kn*x); */ /* density */
637: /* sum7 += rho; */
639: /* Output */
640: if (mu) *mu = Z;
641: if (vel) {
642: vel[0] = sum1;
643: vel[1] = sum2;
644: }
645: if (p) (*p) = sum5;
646: if (s) {
647: s[0] = sum3;
648: s[1] = sum4;
649: s[2] = sum6;
650: }
651: if (gamma) {
652: /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
653: gamma[0] = (sum3 + sum5) / (2.0 * Z);
654: gamma[1] = (sum4) / (2.0 * Z);
655: gamma[2] = (sum6 + sum5) / (2.0 * Z);
656: }
657: PetscFunctionReturn(PETSC_SUCCESS);
658: }
660: static PetscErrorCode SolKxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
661: {
662: Parameter *s = (Parameter *)ctx;
664: PetscFunctionBegin;
665: PetscCall(SolKxSolution(x, s->m, s->n, s->B, v, NULL, NULL, NULL, NULL));
666: PetscFunctionReturn(PETSC_SUCCESS);
667: }
669: static PetscErrorCode SolKxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
670: {
671: Parameter *s = (Parameter *)ctx;
673: PetscFunctionBegin;
674: PetscCall(SolKxSolution(x, s->m, s->n, s->B, NULL, p, NULL, NULL, NULL));
675: PetscFunctionReturn(PETSC_SUCCESS);
676: }
678: /*
679: SolCxSolution - Exact Stokes solutions for discontinuous viscosity
681: Input Parameters:
682: + pos - The (x,z) coordinate at which to evaluate the solution
683: . n - The constant defining the x-dependence of the forcing function
684: . m - The constant defining the z-dependence of the forcing function
685: . xc - The x coordinate at which the viscosity is discontinuous
686: . etaA - The viscosity coefficient for x < xc
687: - etaB - The viscosity coefficient for x > xc
689: Output Parameters:
690: + vel - The (x,z)-velocity at (x,z), or NULL
691: . p - The pressure at (x,z), or NULL
692: . s - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
693: . gamma - The strain rate, or NULL
694: - mu - The viscosity at (x,z), or NULL
696: Note:
697: .vb
698: The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
699: conditions everywhere. The forcing term f is given by
701: fx = 0
702: fz = sigma*sin(km*z)*cos(kn*x)
704: where
706: km = m*Pi (m may be non-integral)
707: kn = n*Pi
709: meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
710: The viscosity eta jumps from etaA to etaB at x = xc.
711: .ve
712: */
713: 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)
714: {
715: PetscReal _PC1A, _PC2A, _PC3A, _PC4A, _PC1B, _PC2B, _PC3B, _PC4B, _PC1, _PC2, _PC3, _PC4;
716: 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;
717: 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;
718: 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;
719: 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;
720: 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;
721: 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;
722: 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;
723: 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;
724: 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;
725: 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;
726: 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;
727: 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;
728: 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;
729: 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;
730: PetscReal t561, t562, t563, t564, t567, t568, t571, t573, t575, t576, t578, t579, t583, t590, t591, t594, t595, t596, t597, t598, t600;
731: 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;
732: 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;
733: 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;
734: 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;
735: 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;
736: PetscReal t801, t806, t807, t808, t809, t811, t812, t817, t818, t819, t821, t822, t824, t827, t828, t830, t834, t835, t837, t840;
737: 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;
738: PetscReal t884, t888, t891, t894, t900, t901, t903, t904, t907, t908, t909, t911, t914, t915, t916, t919, t920;
739: 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;
740: PetscReal t961, t964, t965, t966, t967, t968, t969, t971, t972, t974, t977, t978, t981, t983, t987, t988, t992, t993, t994, t997, t998;
741: PetscReal t1001, t1003, t1005, t1006, t1009, t1010, t1012, t1013, t1015, t1016, t1017, t1018, t1020, t1021, t1029, t1031, t1032, t1033, t1040;
742: PetscReal t1041, t1042, t1044, t1047, t1050, t1054, t1055, t1057, t1058, t1063, t1068, t1069, t1070, t1079, t1080;
743: PetscReal t1088, t1089, t1091, t1092, t1094, t1096, t1101, t1102, t1103, t1104, t1105, t1108, t1112, t1113, t1118, t1119, t1120;
744: 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;
745: PetscReal t1161, t1162, t1165, t1166, t1170, t1171, t1172, t1173, t1175, t1176, t1178, t1180, t1181, t1182, t1185, t1189, t1192, t1193, t1195, t1196, t1199;
746: PetscReal t1201, t1203, t1209, t1210, t1211, t1213, t1214, t1218, t1221, t1224, t1225, t1226, t1228, t1233, t1234, t1235, t1236, t1237, t1240;
747: PetscReal t1241, t1242, t1243, t1244, t1245, t1248, t1251, t1252, t1257, t1258, t1259, t1260, t1263, t1268, t1269, t1272, t1280;
748: PetscReal t1282, t1283, t1284, t1285, t1287, t1288, t1289, t1292, t1293, t1296, t1297, t1300, t1304, t1307, t1310, t1311, t1312, t1316, t1317, t1320;
749: PetscReal t1321, t1323, t1328, t1330, t1331, t1332, t1333, t1336, t1338, t1343, t1344, t1346, t1349, t1350, t1354;
750: PetscReal t1366, t1369, t1370, t1371, t1376, t1378, t1380, t1383, t1386, t1387, t1388, t1391, t1393, t1399;
751: PetscReal t1411, t1412, t1420, t1427;
752: PetscReal t1450, t1456, t1468, t1472, t1474, t1478;
753: PetscReal t1504, t1511;
754: PetscReal t1545;
755: PetscReal t1564, t1583;
757: PetscReal sum1 = 0.0, sum2 = 0.0, sum3 = 0.0, sum4 = 0.0, sum5 = 0.0, sum6 = 0.0;
758: PetscReal ZA = etaA, ZB = etaB;
759: PetscInt nz = m, nx = n;
760: PetscReal u1, u2, u3, u4, u5, u6, Z, x = pos[0], z = pos[1];
762: PetscFunctionBegin;
763: /* Note that there is no Fourier sum here. */
764: /****************************************************************************************/
765: _PC1A = 0;
766: /****************************************************************************************/
767: t1 = nx * 0.3141592654e1;
768: t2 = PetscSinReal(t1);
769: t3 = nx * t2;
770: t4 = nz * nz;
771: t5 = t4 * t4;
772: t6 = 0.3141592654e1 * 0.3141592654e1;
773: t8 = t3 * t5 * t6;
774: t9 = ZA * xc;
775: t12 = PetscExpReal(xc * nz * 0.3141592654e1);
776: t13 = t12 * t12;
777: t15 = nz * 0.3141592654e1;
778: t16 = PetscExpReal(t15);
779: t17 = t16 * t16;
780: t18 = t17 * t16;
781: t19 = ZB * t13 * t18;
782: t20 = t9 * t19;
783: t23 = ZA * ZA;
784: t24 = nx * nx;
785: t25 = t24 * nx;
786: t26 = t23 * t25;
787: t28 = t13 * t13;
788: t29 = t28 * t13;
789: t33 = nx * ZB;
790: t34 = t1 * xc;
791: t35 = PetscSinReal(t34);
792: t36 = t4 * nz;
793: t37 = t35 * t36;
794: t38 = t33 * t37;
795: t39 = 0.3141592654e1 * ZA;
796: t40 = t13 * t12;
797: t41 = t17 * t40;
798: t45 = ZB * ZB;
799: t46 = t45 * t24;
800: t47 = t46 * t4;
801: t48 = 0.3141592654e1 * xc;
802: t49 = t13 * t17;
803: t53 = xc * xc;
804: t54 = t36 * t53;
805: t56 = t54 * t6 * t45;
806: t57 = PetscCosReal(t34);
807: t58 = t57 * t24;
808: t59 = t28 * t12;
809: t60 = t17 * t59;
810: t61 = t58 * t60;
811: t64 = t25 * t2;
812: t65 = t64 * t15;
813: t72 = nx * t23;
814: t74 = t72 * t2 * t5;
815: t75 = t6 * t53;
816: t76 = t16 * t29;
817: t80 = t23 * nz;
818: t81 = t80 * 0.3141592654e1;
819: t82 = t18 * t28;
820: t86 = nx * t5;
821: t87 = t23 * t6;
822: t89 = xc * t2;
823: t90 = t13 * t18;
824: t91 = t89 * t90;
825: t94 = t28 * t28;
826: t96 = t24 * nz;
827: t98 = t4 * t45;
828: t99 = t98 * 0.3141592654e1;
829: t100 = t58 * t41;
830: t104 = 0.3141592654e1 * t25;
831: t105 = ZA * nz * t104;
832: t106 = t2 * ZB;
833: t110 = t17 * t17;
834: t111 = ZA * t110;
835: t116 = nz * t28;
836: t122 = t64 * t4 * t6;
837: t126 = t23 * t29 * t4;
838: t128 = t24 * xc;
839: t132 = t36 * t23;
840: t133 = t6 * t57;
841: t135 = t128 * t41;
842: t138 = t6 * xc;
843: t142 = t72 * t2;
844: 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;
845: t149 = ZA * t25 * t2;
846: t150 = ZB * t28;
847: t154 = t35 * t5;
848: t155 = t72 * t154;
849: t156 = t75 * t41;
850: t159 = nx * ZA;
851: t160 = t2 * t36;
852: t161 = t159 * t160;
853: t162 = 0.3141592654e1 * ZB;
854: t163 = t28 * t16;
855: t167 = t23 * t57;
856: t168 = t167 * t24;
857: t169 = nz * t110;
858: t170 = t169 * t40;
859: t173 = ZA * ZB;
860: t174 = t173 * t90;
861: t177 = t36 * 0.3141592654e1;
862: t181 = t80 * t104;
863: t184 = nz * t17;
864: t188 = t17 * t29;
865: t190 = t4 * 0.3141592654e1;
866: t191 = t190 * t24;
867: t206 = t138 * t60;
868: t209 = t23 * t4;
869: t211 = t209 * t6 * t25;
870: t212 = t89 * t76;
871: t216 = ZB * t16 * t29;
872: t217 = t9 * t216;
873: t220 = ZB * t110;
874: t221 = ZA * t24;
875: t222 = t221 * nz;
876: t225 = t132 * t75;
877: t232 = t45 * t28;
878: t233 = t110 * t24;
879: t234 = t233 * nz;
880: t236 = t209 * 0.3141592654e1;
881: t237 = t17 * xc;
882: t239 = t237 * t13 * t24;
883: 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;
884: t244 = nx * t45;
885: t245 = t244 * t37;
886: t246 = t110 * t40;
887: t251 = t237 * t59;
888: t256 = t64 * t90;
889: t260 = t36 * t45 * t133;
890: t263 = t45 * t57;
891: t264 = t263 * t24;
892: t265 = t169 * t12;
893: t269 = t6 * t36;
894: t270 = t17 * t24;
895: t274 = t110 * t13;
896: t276 = t190 * t128;
897: t279 = nx * t36;
898: t281 = t28 * t40;
899: t282 = t281 * t35;
900: t286 = t138 * t41;
901: t289 = t75 * t60;
902: t296 = t190 * t173;
903: t305 = t86 * t45 * t35;
904: t312 = t33 * t154;
905: t313 = t6 * ZA;
906: t324 = t232 * t270;
907: 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;
908: t328 = t3 * t4;
909: t331 = t72 * t37;
910: t332 = t48 * t60;
911: t335 = nz * t94;
912: t345 = t72 * t35;
913: t349 = t173 * t57;
914: t355 = t53 * t17;
915: t364 = t54 * t6 * ZB;
916: t365 = t28 * t17;
917: t369 = xc * ZB;
918: t370 = t269 * t369;
919: t371 = ZA * t57;
920: t373 = t371 * t270 * t40;
921: t385 = nx * t35;
922: t396 = t4 * xc;
923: t397 = t396 * t162;
924: t415 = t37 * t48;
925: 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;
926: t427 = t371 * t270 * t59;
927: t439 = t209 * t48;
928: t440 = t110 * t12;
929: t441 = t58 * t440;
930: t447 = t36 * xc;
931: t455 = t48 * t440;
932: t471 = ZB * t17;
933: 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;
934: t499 = ZA * t53 * t19;
935: t505 = t396 * 0.3141592654e1;
936: t518 = t173 * t53 * t16 * t29;
937: t533 = t23 * t28;
938: t535 = t188 * t45;
939: t538 = t24 * t4;
940: t545 = t3 * t177;
941: t546 = t173 * t76;
942: t555 = t45 * t110;
943: t557 = t72 * t160;
944: 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;
945: t567 = t396 * 0.3141592654e1 * t45;
946: t568 = t58 * t246;
947: t597 = t58 * nz;
948: t615 = t13 * t45;
949: t616 = t615 * t233;
950: t619 = t94 * t45;
951: t621 = t45 * t59;
952: 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;
953: t626 = t49 * t45;
954: t660 = t29 * t45;
955: 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;
956: t690 = t6 * 0.3141592654e1;
957: t691 = ZA * t690;
958: t693 = t24 * t24;
959: t694 = t693 * xc;
960: t695 = t188 * t694;
961: t698 = t23 * ZA;
962: t699 = t698 * t690;
963: t700 = t699 * t5;
964: t704 = t5 * t4;
965: t705 = t691 * t704;
966: t709 = t691 * t5;
967: t713 = t5 * nz;
968: t714 = t713 * ZB;
969: t718 = t698 * t6;
970: t719 = t713 * t28;
971: t722 = t699 * t704;
972: t726 = t713 * t94;
973: t733 = t713 * t45;
974: t736 = t87 * t36;
975: 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;
976: t746 = t313 * t36;
977: t752 = t6 * t6;
978: t753 = t23 * t752;
979: t759 = t698 * t752;
980: t760 = t759 * t36;
981: t761 = t17 * t693;
982: t762 = xc * t28;
983: t763 = t761 * t762;
984: t766 = t87 * t713;
985: t773 = t699 * t4;
986: t774 = t110 * t693;
987: t775 = xc * t13;
988: t785 = t704 * t17;
989: 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;
990: t791 = t691 * t4;
991: t792 = t45 * t693;
992: t793 = t49 * t792;
993: t796 = t759 * t713;
994: t797 = t53 * t28;
995: t798 = t270 * t797;
996: t801 = t87 * nz;
997: t818 = t5 * t36;
998: t819 = t753 * t818;
999: t827 = t753 * t36 * ZB;
1000: t830 = xc * t45;
1001: 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;
1002: t842 = xc * t29;
1003: t843 = t270 * t842;
1004: t849 = t759 * t818;
1005: t853 = t691 * t396;
1006: t857 = t691 * t5 * t45;
1007: t869 = t313 * nz;
1008: 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;
1009: t877 = ZA * t752;
1010: t878 = t877 * t818;
1011: 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;
1012: t916 = t110 * t28;
1013: t945 = t28 * t693 * t45 * t17;
1014: 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;
1015: t974 = t761 * t797;
1016: 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;
1017: 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;
1019: _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);
1020: /****************************************************************************************/
1021: t1 = nz * nz;
1022: t2 = t1 * nz;
1023: t3 = t2 * 0.3141592654e1;
1024: t4 = t3 * xc;
1025: t5 = ZB * ZB;
1026: t7 = PetscExpReal(nz * 0.3141592654e1);
1027: t8 = t7 * t7;
1028: t9 = t5 * t8;
1029: t12 = PetscExpReal(xc * nz * 0.3141592654e1);
1030: t13 = t12 * t12;
1031: t14 = t13 * t13;
1032: t15 = t14 * t13;
1033: t19 = nx * nx;
1034: t21 = nx * 0.3141592654e1;
1035: t22 = PetscSinReal(t21);
1036: t23 = t19 * nx * t22;
1037: t24 = t23 * 0.3141592654e1;
1038: t25 = ZA * ZB;
1039: t26 = t7 * t15;
1040: t27 = t25 * t26;
1041: t30 = t21 * xc;
1042: t31 = PetscSinReal(t30);
1043: t32 = t31 * nx;
1044: t33 = t32 * nz;
1045: t34 = ZA * ZA;
1046: t35 = t8 * t8;
1047: t36 = t34 * t35;
1048: t40 = t2 * t34;
1049: t41 = 0.3141592654e1 * t8;
1050: t42 = t41 * t15;
1051: t45 = t1 * t5;
1052: t46 = t14 * t14;
1053: t49 = t19 * t5;
1054: t51 = t19 * t46;
1055: t53 = t19 * t34;
1056: t55 = t8 * t7;
1057: t56 = t13 * t55;
1058: t57 = t25 * t56;
1059: t60 = t2 * nx;
1060: t61 = 0.3141592654e1 * 0.3141592654e1;
1061: t63 = t60 * t31 * t61;
1062: t64 = xc * xc;
1063: t65 = ZA * t64;
1064: t66 = ZB * t8;
1065: t67 = t14 * t12;
1066: t68 = t66 * t67;
1067: t69 = t65 * t68;
1068: 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;
1069: t73 = t1 * nx;
1070: t75 = t73 * t31 * 0.3141592654e1;
1071: t76 = t8 * t67;
1072: t77 = t25 * t76;
1073: t80 = t1 * t1;
1074: t81 = t80 * t34;
1075: t83 = t61 * t14;
1076: t87 = t1 * t19;
1077: t88 = PetscCosReal(t30);
1078: t90 = t87 * t88 * t61;
1079: t91 = t5 * t64;
1080: t92 = t13 * t12;
1081: t93 = t8 * t92;
1082: t94 = t91 * t93;
1083: t100 = ZB * t64 * ZA * t8 * t92;
1084: t103 = nz * t19;
1085: t105 = t103 * t88 * 0.3141592654e1;
1086: t106 = ZA * xc;
1087: t107 = ZB * t35;
1088: t109 = t106 * t107 * t12;
1089: t112 = t34 * xc;
1090: t113 = t112 * t93;
1091: t116 = t35 * t14;
1092: t118 = t1 * ZA;
1093: t119 = ZB * t14;
1094: t122 = t1 * t46;
1095: t125 = t19 * ZB;
1096: t126 = t35 * ZA;
1097: t127 = t125 * t126;
1098: t129 = t1 * ZB;
1099: 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;
1100: t134 = t1 * t34;
1101: t136 = t34 * t64;
1102: t137 = t136 * t76;
1103: t141 = t91 * t76;
1104: t145 = t103 * t34;
1105: t146 = 0.3141592654e1 * xc;
1106: t147 = t8 * t13;
1107: t153 = t14 * ZA;
1108: t156 = xc * t5;
1109: t157 = t156 * t93;
1110: t160 = t103 * t5;
1111: t162 = t146 * t8 * t15;
1112: t166 = t34 * t7 * t15;
1113: 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;
1114: t170 = t106 * t68;
1115: t177 = t35 * t92;
1116: t178 = t112 * t177;
1117: t181 = t156 * t76;
1118: t186 = t35 * t12;
1119: t187 = t112 * t186;
1120: t193 = t5 * 0.3141592654e1;
1121: t206 = t34 * t14;
1122: t207 = t206 * t7;
1123: 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;
1124: t217 = t106 * t66 * t92;
1125: t226 = t88 * t19 * nz;
1126: t227 = 0.3141592654e1 * t34;
1127: t229 = t227 * xc * t67;
1128: t232 = t73 * t31;
1129: t234 = t146 * t5 * t67;
1130: t238 = t61 * ZB;
1131: t239 = t14 * t8;
1132: t240 = t238 * t239;
1133: t243 = t136 * t93;
1134: 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;
1135: t247 = t14 * t92;
1136: t249 = t227 * t247 * xc;
1137: t254 = t73 * t22;
1138: t259 = t60 * t22 * t61;
1139: t260 = t112 * t26;
1140: t264 = t146 * t247 * t5;
1141: t268 = xc * t14;
1142: t274 = t5 * t14;
1143: t275 = t274 * t8;
1144: t280 = nz * nx;
1145: t281 = t280 * t22;
1146: t282 = t55 * t14;
1147: t283 = t25 * t282;
1148: t290 = ZA * t247 * xc * ZB;
1149: t295 = t22 * nx * t1 * 0.3141592654e1;
1150: 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;
1151: t301 = t61 * t5;
1152: t307 = t87 * t34;
1153: t312 = t61 * xc;
1154: t313 = t312 * t239;
1155: t317 = t34 * t55 * t14;
1156: t329 = ZB * t13 * t55;
1157: t330 = t65 * t329;
1158: 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;
1159: t340 = t5 * t35;
1160: t344 = t25 * t93;
1161: t356 = t41 * t13;
1162: t360 = t23 * nz * t61;
1163: t363 = t25 * t64 * t7 * t15;
1164: t366 = t156 * t177;
1165: t369 = t14 * t7;
1166: t370 = t25 * t369;
1167: t373 = t156 * t186;
1168: 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;
1169: t382 = t112 * t76;
1170: t387 = t80 * t61;
1171: t391 = t136 * t26;
1172: 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;
1173: t423 = t153 * t8;
1174: t426 = t34 * t13;
1175: t427 = t426 * t55;
1176: t430 = t34 * t8;
1177: t437 = t80 * ZA;
1178: 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;
1179: t453 = t106 * ZB * t7 * t15;
1180: t456 = t2 * t5;
1181: t459 = t112 * t56;
1182: t462 = t126 * t14;
1183: t474 = t40 * 0.3141592654e1;
1184: t475 = xc * t8;
1185: t480 = t146 * t13 * t35;
1186: 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;
1187: t497 = t136 * t56;
1188: t504 = t9 * t13;
1189: t509 = t475 * t13;
1190: 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;
1191: t528 = t5 * t13;
1192: t529 = t528 * t35;
1193: t532 = t106 * t329;
1194: 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;
1195: t557 = t146 * t15;
1196: t562 = xc * t15;
1197: t563 = t562 * t5;
1198: 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;
1199: 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;
1200: t623 = xc * t13;
1201: 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;
1202: t632 = t61 * 0.3141592654e1;
1203: t633 = t632 * t8;
1204: t634 = t80 * nz;
1205: t638 = t632 * t634;
1206: t639 = t638 * xc;
1207: t642 = t61 * t34;
1208: t643 = t122 * t19;
1209: t649 = t61 * t61;
1210: t650 = t649 * t1;
1211: t652 = t19 * t19;
1212: t653 = t14 * t652;
1213: t654 = t653 * t9;
1214: t657 = t14 * t1;
1215: t658 = t657 * t19;
1216: t665 = t632 * t34;
1217: t666 = t665 * t2;
1218: t667 = t8 * t19;
1219: t668 = t667 * t623;
1220: t674 = t665 * nz;
1221: t675 = t652 * xc;
1222: 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;
1223: t683 = t46 * t652;
1224: t686 = t633 * t15;
1225: t691 = t35 * t80;
1226: t698 = t35 * t652;
1227: t705 = t14 * t80;
1228: t708 = t61 * t35;
1229: 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;
1230: t727 = t61 * t46;
1231: t737 = t649 * t34;
1232: t738 = t737 * t1;
1233: t739 = t8 * t652;
1234: t740 = t739 * t268;
1235: t746 = t61 * ZA;
1236: t754 = t632 * nz * xc;
1237: 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;
1238: t762 = t633 * t13;
1239: t764 = t5 * nz * t652;
1240: t767 = t80 * t1;
1241: t768 = t649 * t767;
1242: t772 = t649 * ZA;
1243: t773 = t772 * t129;
1244: t777 = t35 * t1 * t19;
1245: t780 = t632 * t5;
1246: t781 = t780 * t15;
1247: t786 = t698 * ZA;
1248: t790 = t64 * t14;
1249: t800 = t649 * t8;
1250: 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;
1251: t812 = t649 * t80;
1252: t817 = t83 * ZB;
1253: t824 = t746 * ZB;
1254: t828 = t800 * t14;
1255: 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;
1256: t858 = t35 * t19;
1257: t873 = t2 * t8;
1258: t878 = t61 * t1;
1259: 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;
1260: t903 = t739 * t790;
1261: t923 = t737 * t80;
1262: t924 = t667 * t790;
1263: t927 = t780 * t2;
1264: t937 = t15 * t19 * xc;
1265: 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;
1266: 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;
1268: _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);
1269: /****************************************************************************************/
1270: _PC4A = 0;
1271: /****************************************************************************************/
1272: t1 = nx * 0.3141592654e1;
1273: t2 = t1 * xc;
1274: t3 = PetscCosReal(t2);
1275: t4 = nx * nx;
1276: t6 = nz * 0.3141592654e1;
1277: t7 = t3 * t4 * t6;
1278: t8 = ZA * ZB;
1279: t9 = PetscExpReal(t6);
1280: t10 = t9 * t9;
1281: t11 = xc * nz;
1282: t13 = PetscExpReal(t11 * 0.3141592654e1);
1283: t14 = t13 * t13;
1284: t15 = t14 * t13;
1285: t16 = t14 * t14;
1286: t17 = t16 * t15;
1287: t18 = t10 * t17;
1288: t19 = t8 * t18;
1289: t22 = PetscSinReal(t2);
1290: t23 = nx * t22;
1291: t24 = t23 * nz;
1292: t25 = ZB * ZB;
1293: t30 = nz * nz;
1294: t31 = t30 * nz;
1295: t32 = t31 * nx;
1296: t33 = 0.3141592654e1 * 0.3141592654e1;
1297: t35 = t32 * t22 * t33;
1298: t36 = ZA * ZA;
1299: t37 = t36 * xc;
1300: t38 = t16 * t13;
1301: t39 = t10 * t38;
1302: t40 = t37 * t39;
1303: t43 = PetscSinReal(t1);
1304: t44 = nx * t43;
1305: t45 = t30 * 0.3141592654e1;
1306: t46 = t44 * t45;
1307: t47 = ZA * xc;
1308: t49 = ZB * t16 * t9;
1309: t54 = t4 * nx * t43;
1310: t55 = xc * xc;
1311: t57 = t54 * t30 * t55;
1312: t58 = t33 * 0.3141592654e1;
1313: t59 = t58 * t25;
1314: t60 = t16 * t9;
1315: t61 = t59 * t60;
1316: t64 = xc * t25;
1317: t65 = t14 * t9;
1318: t66 = t64 * t65;
1319: t70 = t44 * t31 * t33;
1320: t71 = t37 * t65;
1321: t74 = t10 * t15;
1322: t75 = t64 * t74;
1323: t78 = t25 * t10;
1324: t83 = t54 * nz * t33;
1325: t84 = t55 * t25;
1326: t85 = t10 * t9;
1327: t86 = t14 * t85;
1328: t87 = t84 * t86;
1329: t90 = t30 * t30;
1330: t92 = t44 * t90 * t58;
1331: t93 = t55 * xc;
1332: t94 = t93 * t25;
1333: t95 = t85 * t16;
1334: t96 = t94 * t95;
1335: t102 = t23 * t45;
1336: t103 = t10 * t10;
1337: t104 = ZB * t103;
1338: t106 = t47 * t104 * t15;
1339: t111 = t54 * 0.3141592654e1;
1340: t112 = t25 * t85;
1341: t113 = t112 * t16;
1342: t115 = t8 * t39;
1343: t118 = t16 * t14;
1344: t119 = t85 * t118;
1345: t120 = t37 * t119;
1346: t123 = t16 * t16;
1347: t124 = t36 * t123;
1348: t125 = t124 * t9;
1349: 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;
1350: t128 = t37 * t74;
1351: t131 = t44 * nz;
1352: t133 = t25 * t9 * t118;
1353: t136 = t36 * t14;
1354: t137 = t136 * t9;
1355: t140 = t30 * t4;
1356: t142 = t140 * t3 * t33;
1357: t143 = t64 * t39;
1358: t147 = t30 * nx * t43;
1359: t148 = 0.3141592654e1 * t36;
1360: t149 = t9 * t118;
1361: t153 = t44 * t31 * ZA;
1362: t154 = t33 * xc;
1363: t155 = t154 * t49;
1364: t160 = ZA * t17 * xc * ZB;
1365: t163 = t103 * t13;
1366: t164 = t64 * t163;
1367: t170 = t44 * t90 * t55;
1368: t171 = t58 * ZB;
1369: t172 = ZA * t16;
1370: t174 = t171 * t172 * t9;
1371: t177 = t36 * t55;
1372: t178 = t177 * t149;
1373: t181 = t54 * t11;
1374: t182 = t33 * t25;
1375: t186 = t25 * t14;
1376: t187 = t186 * t9;
1377: t193 = t186 * t85;
1378: t198 = ZB * t55;
1379: t199 = ZA * t103;
1380: t201 = t198 * t199 * t15;
1381: 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;
1382: t210 = t32 * t22;
1383: t211 = t33 * t55;
1384: t212 = t25 * t38;
1385: t213 = t211 * t212;
1386: t216 = nz * nx;
1387: t217 = t22 * t25;
1388: t222 = ZB * t85 * t16;
1389: t226 = t23 * t30;
1390: t227 = t13 * t10;
1391: t228 = t148 * t227;
1392: t233 = t37 * t163;
1393: t237 = nz * t4 * t3;
1394: t238 = t148 * t74;
1395: t241 = t64 * t86;
1396: t245 = t148 * xc * t15;
1397: t248 = t112 * t118;
1398: t250 = t22 * t36;
1399: t256 = 0.3141592654e1 * t25;
1400: t257 = t256 * t39;
1401: t262 = t38 * t103;
1402: t263 = t37 * t262;
1403: t267 = t148 * t17 * xc;
1404: 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;
1405: t273 = t37 * t149;
1406: t277 = t47 * t104 * t13;
1407: t285 = t31 * t36;
1408: t286 = t44 * t285;
1409: t291 = t25 * t123 * t9;
1410: t304 = 0.3141592654e1 * xc;
1411: t305 = t304 * t212;
1412: t312 = t256 * t18;
1413: t315 = t8 * t60;
1414: t319 = t54 * t30 * t58;
1415: t323 = t90 * t36;
1416: t324 = t44 * t323;
1417: t325 = t55 * t58;
1418: t326 = t325 * t60;
1419: 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;
1420: t332 = t8 * t95;
1421: t335 = t136 * t85;
1422: t337 = t256 * t227;
1423: t340 = t177 * t119;
1424: t346 = t37 * t86;
1425: t351 = t103 * t15;
1426: t352 = t177 * t351;
1427: t355 = t64 * t119;
1428: t358 = t8 * t227;
1429: t361 = t85 * 0.3141592654e1;
1430: t365 = t84 * t39;
1431: t372 = ZB * t10;
1432: t373 = t372 * t38;
1433: t374 = t47 * t373;
1434: t379 = t177 * t39;
1435: 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;
1436: t386 = t54 * t30 * t93;
1437: t387 = ZA * t85;
1438: t389 = t171 * t387 * t16;
1439: t394 = t64 * t60;
1440: t398 = t304 * t25 * t15;
1441: t401 = t361 * t25;
1442: t405 = t84 * t65;
1443: t410 = t148 * t18;
1444: t414 = t25 * t16 * t9;
1445: t417 = t84 * t74;
1446: t422 = t177 * t86;
1447: t428 = ZB * t38;
1448: t429 = t47 * t428;
1449: t432 = t148 * t39;
1450: 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;
1451: t442 = t36 * t9 * t118;
1452: t444 = t123 * t9;
1453: t445 = t8 * t444;
1454: t448 = t361 * t36;
1455: t451 = t47 * t372 * t17;
1456: t454 = t94 * t60;
1457: t457 = t25 * t103;
1458: t465 = t47 * t372 * t15;
1459: t468 = t36 * t85;
1460: t469 = t468 * t16;
1461: t474 = t43 * t85;
1462: t478 = t8 * t74;
1463: t484 = t256 * t74;
1464: t489 = t198 * ZA * t10 * t15;
1465: 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;
1466: t504 = t33 * t36 * t55 * t38;
1467: t507 = t37 * t18;
1468: t512 = t47 * ZB * t13 * t10;
1469: t518 = t59 * t95;
1470: t530 = t84 * t351;
1471: t534 = t37 * t227;
1472: 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;
1473: t557 = t468 * t118;
1474: t562 = t93 * t58;
1475: t563 = t562 * t60;
1476: t567 = t44 * t90 * t93;
1477: t575 = ZA * t55;
1478: t576 = t575 * t428;
1479: t583 = t37 * t60;
1480: t590 = t140 * t3;
1481: 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;
1482: t604 = nz * t36;
1483: t606 = t154 * t95;
1484: t625 = t36 * t103;
1485: t640 = t30 * t36;
1486: t641 = t54 * t640;
1487: t642 = t325 * t95;
1488: 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;
1489: t652 = t36 * t16;
1490: t653 = t652 * t9;
1491: t655 = t64 * t227;
1492: t658 = t182 * t95;
1493: t663 = t562 * t95;
1494: t684 = t64 * t351;
1495: t689 = t36 * t10;
1496: t695 = t154 * t222;
1497: 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;
1498: t711 = t575 * t373;
1499: t717 = t304 * t17 * t25;
1500: t736 = t177 * t74;
1501: 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;
1502: t750 = t64 * t262;
1503: t763 = t44 * t640;
1504: t770 = t84 * t119;
1505: 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;
1506: t797 = t64 * t149;
1507: 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;
1508: t827 = t84 * t149;
1509: t846 = t54 * nz * ZA;
1510: t854 = t64 * t18;
1511: 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;
1512: 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;
1513: t914 = t25 * ZB;
1514: t915 = t33 * t914;
1515: t919 = t4 * t4;
1516: t920 = t16 * t919;
1517: t929 = t123 * t90;
1518: t932 = t919 * t103;
1519: t935 = t33 * ZB;
1520: t939 = t652 * t919;
1521: t942 = t16 * t30;
1522: t943 = t942 * t4;
1523: t949 = t103 * t16;
1524: t950 = t949 * t90;
1525: 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;
1526: t954 = t171 * t36;
1527: t955 = t90 * nz;
1528: t956 = xc * t955;
1529: t957 = t118 * t10;
1530: t964 = t33 * t33;
1531: t965 = t964 * ZB;
1532: t966 = t965 * t640;
1533: t967 = t10 * t919;
1534: t968 = t55 * t16;
1535: t969 = t967 * t968;
1536: t972 = t935 * t36;
1537: t974 = t103 * t30 * t4;
1538: t977 = xc * t16;
1539: t978 = t967 * t977;
1540: t981 = t90 * t30;
1541: t983 = t16 * t10;
1542: t987 = t182 * ZA;
1543: t988 = t4 * t10;
1544: t992 = t171 * t604;
1545: t993 = xc * t14;
1546: t994 = t932 * t993;
1547: t997 = t182 * t30;
1548: t1005 = t171 * t285;
1549: t1006 = t988 * t993;
1550: t1009 = t58 * t914;
1551: t1010 = t1009 * t31;
1552: 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;
1553: t1015 = t964 * t25;
1554: t1016 = ZA * t30;
1555: t1017 = t1015 * t1016;
1556: t1020 = t967 * t993;
1557: t1031 = t1009 * t118;
1558: t1032 = t31 * t10;
1559: t1040 = t964 * t914;
1560: t1041 = t1040 * t90;
1561: t1044 = t55 * t10 * t4 * t16;
1562: t1047 = t1040 * t30;
1563: t1050 = t123 * ZA;
1564: t1054 = t977 * t988;
1565: 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;
1566: t1058 = t1009 * nz;
1567: t1063 = t932 * ZA;
1568: t1069 = t123 * t30 * t4;
1569: t1080 = t993 * t103 * t4;
1570: t1088 = t935 * t103;
1571: 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;
1572: t1113 = t955 * t118 * xc;
1573: t1120 = t4 * t118;
1574: t1125 = t981 * xc;
1575: t1133 = nz * t10;
1576: 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;
1577: t1153 = xc * t118;
1578: t1165 = t182 * t16;
1579: t1170 = t171 * t10;
1580: t1178 = ZA * t90;
1581: 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;
1582: t1195 = t1040 * t981;
1583: t1199 = t1009 * t955;
1584: t1203 = t1009 * t10;
1585: t1211 = t965 * t323;
1586: 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;
1587: 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;
1589: _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);
1590: /****************************************************************************************/
1591: t1 = nz * nz;
1592: t2 = t1 * nz;
1593: t3 = nx * t2;
1594: t4 = 0.3141592654e1 * ZA;
1595: t5 = t3 * t4;
1596: t6 = nx * 0.3141592654e1;
1597: t7 = t6 * xc;
1598: t8 = PetscSinReal(t7);
1599: t9 = t8 * ZB;
1600: t10 = nz * 0.3141592654e1;
1601: t11 = PetscExpReal(t10);
1602: t12 = t11 * t11;
1603: t15 = PetscExpReal(xc * nz * 0.3141592654e1);
1604: t16 = t15 * t15;
1605: t17 = t16 * t16;
1606: t18 = t17 * t15;
1607: t19 = t12 * t18;
1608: t23 = t1 * t1;
1609: t24 = nx * t23;
1610: t25 = ZB * ZB;
1611: t27 = t18 * t8;
1612: t28 = 0.3141592654e1 * 0.3141592654e1;
1613: t29 = xc * xc;
1614: t30 = t28 * t29;
1615: t34 = t1 * xc;
1616: t35 = 0.3141592654e1 * ZB;
1617: t36 = t34 * t35;
1618: t37 = PetscCosReal(t7);
1619: t38 = ZA * t37;
1620: t39 = nx * nx;
1621: t40 = t39 * t12;
1622: t41 = t16 * t15;
1623: t43 = t38 * t40 * t41;
1624: t46 = t25 * nz;
1625: t47 = t46 * 0.3141592654e1;
1626: t48 = t39 * nx;
1627: t49 = PetscSinReal(t6);
1628: t50 = t48 * t49;
1629: t51 = t12 * t11;
1630: t52 = t51 * t17;
1631: t53 = t50 * t52;
1632: t56 = t34 * 0.3141592654e1 * t25;
1633: t57 = t37 * t39;
1634: t58 = t17 * t41;
1635: t59 = t12 * t58;
1636: t60 = t57 * t59;
1637: t63 = t25 * t18;
1638: t64 = t57 * nz;
1639: t67 = ZA * ZA;
1640: t68 = t67 * nz;
1641: t69 = 0.3141592654e1 * t48;
1642: t70 = t68 * t69;
1643: t71 = t49 * xc;
1644: t72 = t17 * t16;
1645: t73 = t11 * t72;
1646: t74 = t71 * t73;
1647: t77 = t1 * t67;
1648: t78 = t77 * 0.3141592654e1;
1649: t81 = nx * t25;
1650: t82 = t81 * t49;
1651: t83 = t17 * t17;
1652: t85 = t1 * t83 * t11;
1653: t87 = nx * ZB;
1654: t88 = t8 * t2;
1655: t89 = t87 * t88;
1656: t90 = 0.3141592654e1 * xc;
1657: t91 = t12 * t12;
1658: t92 = ZA * t91;
1659: t97 = ZB * ZA;
1660: t98 = t97 * t37;
1661: t99 = t39 * nz;
1662: t100 = t12 * t41;
1663: 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;
1664: t105 = t67 * t48;
1665: t106 = t49 * t51;
1666: t107 = t106 * t72;
1667: t109 = t1 * 0.3141592654e1;
1668: t110 = t109 * xc;
1669: t115 = nx * t67;
1670: t116 = t115 * t49;
1671: t117 = t1 * t16;
1672: t118 = t117 * t11;
1673: t120 = t2 * t25;
1674: t121 = t28 * 0.3141592654e1;
1675: t122 = t121 * t29;
1676: t123 = t120 * t122;
1677: t129 = t1 * ZB;
1678: t130 = t129 * t4;
1679: t131 = t57 * t100;
1680: t134 = t12 * t16;
1681: t136 = t109 * t39;
1682: t139 = ZB * t18;
1683: t141 = t39 * t1;
1684: t142 = t141 * t90;
1685: t145 = t77 * t90;
1686: t146 = t91 * t41;
1687: t147 = t57 * t146;
1688: t151 = t25 * t39 * t1;
1689: t152 = t72 * t12;
1690: t156 = t49 * t2;
1691: t158 = t83 * t11;
1692: 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;
1693: t164 = t115 * t88;
1694: t165 = t90 * t19;
1695: t168 = t25 * t48;
1696: t169 = t49 * t16;
1697: t170 = t169 * t11;
1698: t174 = ZA * nz * t69;
1699: t175 = ZB * t51;
1700: t176 = t175 * t17;
1701: t177 = t71 * t176;
1702: t180 = t1 * t29;
1703: t181 = t28 * t25;
1704: t182 = t180 * t181;
1705: t183 = t50 * t73;
1706: t186 = ZA * t1;
1707: t187 = t28 * t48;
1708: t188 = t186 * t187;
1709: t189 = ZB * t17;
1710: t190 = t189 * t11;
1711: t191 = t71 * t190;
1712: t194 = t50 * t158;
1713: t196 = t115 * t156;
1714: t197 = t90 * t73;
1715: t201 = t49 * t17 * t11;
1716: t204 = t88 * t90;
1717: t207 = t68 * 0.3141592654e1;
1718: t208 = t17 * t11;
1719: t209 = t50 * t208;
1720: 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;
1721: t212 = t2 * 0.3141592654e1;
1722: t213 = t212 * t52;
1723: t215 = t81 * t8;
1724: t216 = t212 * t59;
1725: t219 = t3 * t90;
1726: t220 = t25 * t8;
1727: t221 = t18 * t91;
1728: t225 = t71 * t52;
1729: t231 = t16 * t51;
1730: t232 = t50 * t231;
1731: t237 = ZA * t12;
1732: t243 = t67 * t28;
1733: t244 = t24 * t243;
1734: t245 = t71 * t231;
1735: 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;
1736: t252 = t25 * t37;
1737: t253 = t252 * t39;
1738: t255 = nz * t15 * t12;
1739: t258 = t2 * t29;
1740: t259 = ZB * t28;
1741: t260 = t258 * t259;
1742: t263 = t106 * t17;
1743: t265 = xc * t25;
1744: t269 = t25 * t49;
1745: t270 = t269 * t52;
1746: t273 = t1 * t25;
1747: t274 = t273 * 0.3141592654e1;
1748: t275 = t57 * t19;
1749: t278 = t24 * t30;
1750: t288 = t1 * t11 * t72;
1751: t290 = t212 * t208;
1752: t292 = t2 * xc;
1753: 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;
1754: t301 = t50 * t176;
1755: t304 = t51 * t72;
1756: t305 = t71 * t304;
1757: t308 = t25 * t41;
1758: t311 = ZA * t48;
1759: t312 = t311 * t49;
1760: t317 = t91 * t15;
1761: t318 = t57 * t317;
1762: t321 = t81 * t88;
1763: t322 = t90 * t59;
1764: t325 = t212 * t231;
1765: t327 = t15 * t12;
1766: t328 = t57 * t327;
1767: t331 = t77 * t187;
1768: t334 = t2 * ZA;
1769: t335 = t334 * t122;
1770: t336 = t50 * t190;
1771: 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;
1772: t341 = t169 * t51;
1773: t344 = t49 * t11 * t72;
1774: t346 = t77 * t30;
1775: t347 = t50 * t304;
1776: t350 = t25 * t51;
1777: t352 = nx * ZA;
1778: t353 = t49 * t23;
1779: t354 = t352 * t353;
1780: t355 = t28 * xc;
1781: t362 = t25 * t91;
1782: t365 = t23 * nz;
1783: t366 = nx * t365;
1784: t367 = t366 * t122;
1785: t368 = ZB * t49;
1786: t369 = ZA * t51;
1787: t370 = t369 * t17;
1788: t371 = t368 * t370;
1789: t374 = t115 * t353;
1790: t375 = t355 * t73;
1791: 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;
1792: t382 = t71 * t208;
1793: t394 = t2 * t67;
1794: t395 = t394 * t122;
1795: t398 = t352 * t156;
1796: t402 = t17 * t12;
1797: t403 = t39 * ZA;
1798: t404 = t402 * t403;
1799: t407 = t269 * t208;
1800: t411 = t49 * t83 * t11;
1801: t413 = t46 * t69;
1802: 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;
1803: t424 = t16 * t11;
1804: t425 = t212 * t424;
1805: t427 = t258 * t181;
1806: t430 = t67 * t29;
1807: t431 = t366 * t430;
1808: t432 = t121 * t49;
1809: t433 = t432 * t52;
1810: t436 = nz * t12;
1811: t437 = t436 * t18;
1812: t440 = t29 * xc;
1813: t441 = t440 * t121;
1814: t442 = t394 * t441;
1815: t445 = t67 * t37;
1816: t446 = t445 * t39;
1817: t448 = nz * t18 * t91;
1818: t453 = t352 * t49;
1819: t458 = t8 * t23;
1820: t462 = t81 * t458;
1821: t463 = t30 * t19;
1822: 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;
1823: t470 = t436 * t58;
1824: t475 = t2 * t121 * t440 * t25;
1825: t485 = t212 * t73;
1826: t488 = t67 * t72 * t1;
1827: t490 = t39 * xc;
1828: 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;
1829: t503 = t115 * t8;
1830: t510 = t355 * t19;
1831: t513 = t432 * t208;
1832: t525 = t38 * t40 * t18;
1833: 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;
1834: t536 = t28 * t37;
1835: t538 = t490 * t100;
1836: t541 = t334 * t441;
1837: t547 = t394 * t30;
1838: t550 = t212 * t19;
1839: t553 = t366 * t441;
1840: t556 = nz * t17;
1841: 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;
1842: t583 = t90 * t317;
1843: t594 = t212 * t158;
1844: t596 = t152 * t67;
1845: t602 = t67 * t17;
1846: 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;
1847: t613 = t83 * t25;
1848: t616 = t81 * t156;
1849: t627 = t90 * t231;
1850: t630 = t91 * t16;
1851: 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;
1852: t643 = t77 * t355;
1853: t648 = t115 * t458;
1854: t651 = t134 * t67;
1855: t657 = t30 * t304;
1856: t660 = t30 * t146;
1857: t665 = t25 * t17;
1858: t668 = t50 * t424;
1859: 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;
1860: t672 = t90 * t424;
1861: t676 = t120 * t536;
1862: t680 = t436 * t41;
1863: t688 = t366 * t67 * t440;
1864: t696 = xc * t12;
1865: t697 = t696 * t18;
1866: t701 = t252 * t141;
1867: t702 = t90 * t221;
1868: 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;
1869: t712 = t24 * t430;
1870: t713 = t28 * t49;
1871: t721 = t1 * t17 * t11;
1872: t726 = ZB * xc;
1873: t737 = nz * t91;
1874: 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;
1875: t745 = t269 * t231;
1876: t749 = t1 * t28 * t265;
1877: t757 = t16 * t39;
1878: t758 = t696 * t757;
1879: t762 = t69 * t49;
1880: t772 = t355 * t100;
1881: t775 = t81 * t353;
1882: 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;
1883: t790 = t212 * t304;
1884: t793 = t156 * 0.3141592654e1;
1885: t795 = t355 * t304;
1886: t800 = t91 * t39;
1887: t801 = t800 * nz;
1888: t807 = t2 * t28;
1889: t808 = t807 * t726;
1890: 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;
1891: t812 = t117 * t51;
1892: t821 = t24 * t355;
1893: t827 = t90 * t304;
1894: t840 = t800 * t41;
1895: 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;
1896: t849 = t1 * t51;
1897: t850 = t849 * t17;
1898: t860 = t269 * t424;
1899: t863 = t273 * t187;
1900: 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;
1901: t879 = xc * ZA;
1902: t888 = t67 * t51;
1903: t901 = ZA * t17;
1904: t903 = t368 * t901 * t11;
1905: 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;
1906: t923 = t71 * t424;
1907: t926 = t87 * t458;
1908: t927 = t28 * ZA;
1909: 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;
1910: t948 = t90 * t327;
1911: t961 = t30 * t100;
1912: t964 = t29 * t49;
1913: t981 = t106 * t1;
1914: 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;
1915: 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;
1916: t1018 = t212 * t100;
1917: t1029 = t212 * t327;
1918: 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;
1919: 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;
1920: t1079 = t58 * t8;
1921: t1091 = t807 * t29;
1922: t1092 = t665 * t40;
1923: t1101 = ZB * t91;
1924: t1102 = t403 * nz;
1925: 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;
1926: t1108 = t849 * t72;
1927: t1121 = t737 * t15;
1928: t1124 = t29 * t12;
1929: 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;
1930: t1134 = t394 * t28;
1931: 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;
1932: t1161 = nz * t83;
1933: t1173 = ZB * t12;
1934: 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;
1935: 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;
1936: t1234 = t25 * ZB;
1937: t1235 = t1234 * t28;
1938: t1236 = t365 * t91;
1939: t1240 = ZB * t121;
1940: t1241 = t1240 * t77;
1941: t1242 = t39 * t39;
1942: t1243 = t12 * t1242;
1943: t1244 = xc * t72;
1944: t1245 = t1243 * t1244;
1945: t1248 = t365 * t25;
1946: t1252 = t243 * nz;
1947: t1257 = t23 * t1;
1948: t1258 = t1240 * t1257;
1949: t1259 = t67 * t12;
1950: t1260 = xc * t16;
1951: t1268 = t1234 * t121;
1952: t1269 = t1268 * t23;
1953: t1272 = t1242 * t91;
1954: t1280 = t67 * xc;
1955: t1284 = t28 * t28;
1956: t1285 = t67 * t1284;
1957: t1287 = t1285 * t2 * ZB;
1958: t1288 = t17 * xc;
1959: t1289 = t1243 * t1288;
1960: 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;
1961: t1293 = t365 * t83;
1962: t1300 = ZA * t1284;
1963: t1304 = t17 * t1242 * t25 * t12;
1964: t1307 = t927 * t2;
1965: t1311 = t23 * t2;
1966: t1312 = t1300 * t1311;
1967: t1316 = t1234 * t1284;
1968: t1317 = t1316 * t1311;
1969: t1321 = t1240 * t23;
1970: t1331 = t1240 * t23 * t67;
1971: t1332 = t40 * t1244;
1972: t1338 = t1243 * t1260;
1973: 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;
1974: t1346 = t1316 * t2;
1975: t1349 = t927 * nz;
1976: t1350 = t25 * t1242;
1977: t1354 = t1268 * t1257;
1978: t1366 = t1268 * t1;
1979: t1370 = t29 * t17;
1980: t1371 = t1243 * t1370;
1981: 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;
1982: t1387 = t1257 * t12;
1983: t1391 = t1240 * t1;
1984: t1399 = t1272 * t1260;
1985: t1412 = t1285 * t1311;
1986: 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;
1987: t1456 = t365 * ZB;
1988: 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;
1989: t1472 = t1316 * t365;
1990: t1474 = t1124 * t39 * t17;
1991: t1478 = t17 * t91;
1992: t1504 = t72 * t39;
1993: 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;
1994: 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;
1995: t1564 = t1260 * t800;
1996: 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;
1998: _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);
1999: /****************************************************************************************/
2000: t1 = nz * nz;
2001: t2 = t1 * nz;
2002: t3 = t2 * nx;
2003: t4 = nx * 0.3141592654e1;
2004: t5 = t4 * xc;
2005: t6 = PetscSinReal(t5);
2006: t7 = 0.3141592654e1 * 0.3141592654e1;
2007: t9 = t3 * t6 * t7;
2008: t10 = xc * xc;
2009: t11 = ZA * ZA;
2010: t12 = t10 * t11;
2011: t13 = nz * 0.3141592654e1;
2012: t14 = PetscExpReal(t13);
2013: t15 = t14 * t14;
2014: t16 = xc * nz;
2015: t18 = PetscExpReal(t16 * 0.3141592654e1);
2016: t19 = t18 * t18;
2017: t20 = t19 * t18;
2018: t21 = t15 * t20;
2019: t22 = t12 * t21;
2020: t25 = nx * t6;
2021: t26 = t1 * 0.3141592654e1;
2022: t27 = t25 * t26;
2023: t28 = ZA * ZB;
2024: t29 = t18 * t15;
2025: t30 = t28 * t29;
2026: t33 = t25 * nz;
2027: t34 = t11 * t15;
2028: t35 = t19 * t19;
2029: t36 = t35 * t18;
2030: t40 = t25 * t1;
2031: t41 = 0.3141592654e1 * t11;
2032: t42 = t15 * t36;
2033: t43 = t41 * t42;
2034: t46 = nx * nx;
2035: t47 = t1 * t46;
2036: t48 = t47 * t11;
2037: t49 = t7 * xc;
2038: t50 = t35 * t15;
2039: t51 = t49 * t50;
2040: t55 = PetscSinReal(t4);
2041: t56 = t46 * nx * t55;
2042: t58 = t56 * nz * t7;
2043: t59 = ZB * ZB;
2044: t60 = t10 * t59;
2045: t61 = t15 * t14;
2046: t62 = t19 * t61;
2047: t63 = t60 * t62;
2048: t66 = t19 * t14;
2049: t67 = t60 * t66;
2050: t70 = t28 * t42;
2051: t73 = PetscCosReal(t5);
2052: t74 = t47 * t73;
2053: t75 = t7 * t11;
2054: t77 = t75 * t10 * t36;
2055: t80 = t73 * t46;
2056: t81 = t80 * nz;
2057: t82 = 0.3141592654e1 * t59;
2058: t83 = t82 * t42;
2059: t87 = xc * t11;
2060: t88 = t87 * t62;
2061: t91 = nz * nx;
2062: t92 = t55 * t61;
2063: t96 = nx * t55;
2064: t98 = t96 * t2 * t7;
2065: t101 = xc * t59;
2066: t102 = t101 * t62;
2067: t108 = t1 * t1;
2068: t109 = t108 * t7;
2069: t111 = t59 * t35;
2070: t112 = t111 * t15;
2071: t115 = t35 * t20;
2072: t123 = t1 * nx * t55;
2073: t124 = t61 * t35;
2074: t127 = t35 * t19;
2075: t128 = t61 * t127;
2076: t129 = t60 * t128;
2077: t132 = t56 * t16;
2078: t133 = t7 * t59;
2079: t134 = t133 * t124;
2080: 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;
2081: t139 = t56 * 0.3141592654e1;
2082: t140 = t111 * t14;
2083: t144 = t49 * t124;
2084: t147 = t91 * t55;
2085: t148 = t61 * ZA;
2086: t154 = ZA * t115 * xc * ZB;
2087: t157 = t7 * 0.3141592654e1;
2088: t159 = t96 * t108 * t157;
2089: t160 = t10 * xc;
2090: t161 = t160 * t59;
2091: t162 = t35 * t14;
2092: t163 = t161 * t162;
2093: t166 = t28 * t162;
2094: t169 = t80 * t13;
2095: t170 = t101 * t42;
2096: t173 = t2 * t11;
2097: t174 = t96 * t173;
2098: t175 = t7 * t10;
2099: t179 = t59 * t15;
2100: t184 = t15 * t15;
2101: 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;
2102: t194 = t173 * 0.3141592654e1;
2103: t195 = xc * t15;
2104: t196 = t195 * t19;
2105: t202 = t15 * t115;
2106: t203 = t28 * t202;
2107: t206 = t96 * t26;
2108: t207 = t14 * t127;
2109: t208 = t101 * t207;
2110: t211 = t12 * t128;
2111: t218 = t11 * t61;
2112: t219 = t218 * t35;
2113: t221 = t108 * ZA;
2114: t223 = t7 * ZB;
2115: t224 = t223 * t50;
2116: t227 = ZA * xc;
2117: t228 = ZB * t15;
2118: t229 = t228 * t36;
2119: t230 = t227 * t229;
2120: t233 = t87 * t207;
2121: t236 = t6 * t11;
2122: 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;
2123: t244 = t227 * t228 * t20;
2124: t252 = t184 * t18;
2125: t253 = t101 * t252;
2126: t256 = t35 * t35;
2127: t257 = t256 * t14;
2128: t258 = t28 * t257;
2129: t261 = t108 * t11;
2130: t263 = t7 * t35;
2131: t268 = ZB * t61 * t35;
2132: t273 = t96 * t108 * t160;
2133: t274 = t157 * ZB;
2134: t276 = t274 * t148 * t35;
2135: t279 = t101 * t21;
2136: t282 = 0.3141592654e1 * xc;
2137: t283 = t59 * t36;
2138: t284 = t282 * t283;
2139: 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;
2140: t290 = t1 * t11;
2141: t291 = t96 * t290;
2142: t297 = t59 * t61;
2143: t298 = t297 * t127;
2144: t300 = ZB * t36;
2145: t301 = t227 * t300;
2146: t304 = t1 * t59;
2147: t305 = t184 * t35;
2148: t310 = t46 * ZB;
2149: t311 = t184 * ZA;
2150: t312 = t310 * t311;
2151: t314 = t60 * t21;
2152: t317 = t1 * ZA;
2153: t318 = ZB * t35;
2154: t321 = t1 * t256;
2155: t324 = t96 * t261;
2156: t325 = t10 * t157;
2157: t326 = t325 * t124;
2158: 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;
2159: t331 = t28 * t124;
2160: t334 = 0.3141592654e1 * t15;
2161: t335 = t334 * t127;
2162: t338 = t35 * ZA;
2163: t341 = t46 * t256;
2164: t344 = t46 * t11;
2165: t346 = t46 * t59;
2166: t348 = t297 * t35;
2167: t351 = ZA * t10;
2168: t352 = t351 * t300;
2169: t355 = t1 * ZB;
2170: 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;
2171: t363 = t36 * t184;
2172: t364 = t87 * t363;
2173: t368 = t47 * t73 * t7;
2174: t373 = t160 * t157;
2175: t374 = t373 * t124;
2176: t377 = t311 * t35;
2177: t380 = t12 * t62;
2178: t386 = ZB * t10 * ZA * t15 * t20;
2179: t389 = t87 * t66;
2180: t393 = t56 * t1 * t10;
2181: 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;
2182: t412 = t11 * t14 * t127;
2183: t416 = t11 * t19;
2184: t417 = t416 * t61;
2185: t421 = t96 * t2 * ZA;
2186: t426 = t56 * nz * ZA;
2187: t427 = t318 * t14;
2188: t428 = t49 * t427;
2189: t431 = t82 * t29;
2190: t434 = t87 * t21;
2191: 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;
2192: t443 = t184 * t20;
2193: t447 = t61 * 0.3141592654e1;
2194: t448 = t447 * t11;
2195: t450 = t49 * t268;
2196: t453 = t60 * t42;
2197: t456 = t41 * t202;
2198: t463 = t101 * t443;
2199: t469 = t41 * xc * t20;
2200: 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;
2201: t482 = t108 * t10;
2202: t492 = nz * t46;
2203: t493 = t492 * t11;
2204: t495 = t282 * t19 * t184;
2205: t498 = t56 * t290;
2206: t499 = t325 * t162;
2207: t502 = t416 * t14;
2208: t504 = t60 * t207;
2209: 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;
2210: t508 = t101 * t162;
2211: t512 = t41 * t115 * xc;
2212: t515 = t87 * t42;
2213: t520 = ZB * t184;
2214: t522 = t227 * t520 * t18;
2215: t525 = t492 * t59;
2216: t528 = t6 * t59;
2217: t532 = t520 * t20;
2218: t533 = t351 * t532;
2219: t539 = t447 * t59;
2220: 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;
2221: t551 = t87 * t162;
2222: t554 = t351 * t229;
2223: t560 = t59 * t19;
2224: t561 = t560 * t14;
2225: t564 = t101 * t202;
2226: t567 = t87 * t252;
2227: t573 = t227 * t228 * t115;
2228: 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;
2229: t579 = t82 * t202;
2230: t591 = t282 * t115 * t59;
2231: t598 = t101 * t66;
2232: 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;
2233: t608 = t373 * t162;
2234: t611 = t59 * t184;
2235: t617 = t101 * t29;
2236: t624 = t227 * ZB * t18 * t15;
2237: t629 = t157 * t59;
2238: t630 = t629 * t124;
2239: t633 = t3 * t6;
2240: t634 = t175 * t283;
2241: 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;
2242: t645 = t41 * t29;
2243: t648 = t2 * 0.3141592654e1;
2244: t649 = t648 * xc;
2245: t650 = t560 * t184;
2246: t656 = t56 * t1 * t157;
2247: t659 = t87 * t128;
2248: t662 = t96 * t482;
2249: t663 = t629 * t162;
2250: t671 = t161 * t124;
2251: t674 = t218 * t127;
2252: 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;
2253: t714 = t334 * t19;
2254: t719 = t12 * t42;
2255: 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;
2256: t730 = xc * t19;
2257: t735 = t59 * t256 * t14;
2258: 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;
2259: t755 = t28 * t21;
2260: t759 = t274 * t338 * t14;
2261: t767 = t11 * t35;
2262: t768 = t767 * t14;
2263: t778 = t560 * t61;
2264: 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;
2265: t786 = t12 * t443;
2266: t790 = t282 * t59 * t20;
2267: t796 = t59 * t14 * t127;
2268: t806 = t41 * t21;
2269: 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;
2270: t819 = t282 * t15 * t127;
2271: t822 = t101 * t363;
2272: t830 = t11 * t256 * t14;
2273: t835 = t227 * t532;
2274: 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;
2275: t845 = t87 * t202;
2276: t854 = t338 * t15;
2277: t859 = t12 * t207;
2278: 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;
2279: t880 = t60 * t443;
2280: t891 = t101 * t128;
2281: 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;
2282: t903 = t179 * t19;
2283: t920 = t56 * t1 * t160;
2284: 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;
2285: t932 = t87 * t29;
2286: t945 = t82 * t21;
2287: 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;
2288: t971 = t282 * t127;
2289: 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;
2290: t997 = xc * t127;
2291: t998 = t997 * t59;
2292: 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;
2293: t1006 = t2 * t59;
2294: t1017 = xc * t35;
2295: 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;
2296: 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;
2297: t1070 = t15 * t19;
2298: 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;
2299: 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;
2300: t1119 = t321 * t46;
2301: t1122 = t157 * t11;
2302: t1123 = t1122 * t2;
2303: t1124 = t184 * t46;
2304: t1128 = t108 * nz;
2305: t1132 = t7 * t7;
2306: t1133 = t1132 * t11;
2307: t1134 = t1133 * t108;
2308: t1135 = t15 * t46;
2309: t1139 = t7 * ZA;
2310: t1140 = t1139 * ZB;
2311: t1141 = t1 * t35;
2312: t1145 = t629 * t2;
2313: t1146 = t1135 * t730;
2314: t1149 = t157 * t1128;
2315: t1150 = t1149 * xc;
2316: t1153 = t46 * xc;
2317: t1154 = t1153 * t127;
2318: t1158 = t184 * t1 * t46;
2319: t1161 = t46 * t46;
2320: t1162 = t35 * t1161;
2321: t1166 = t7 * t1;
2322: 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;
2323: t1171 = t1161 * t184;
2324: t1175 = t1122 * nz;
2325: t1176 = t15 * t1161;
2326: t1180 = t1132 * ZA;
2327: t1181 = t1180 * t355;
2328: t1182 = t1176 * t1017;
2329: t1185 = t1161 * xc;
2330: t1189 = t1133 * t1;
2331: t1192 = t108 * t1;
2332: t1193 = t1132 * t1192;
2333: t1195 = t10 * t35;
2334: t1199 = t157 * t15;
2335: t1203 = t1141 * t46;
2336: t1211 = t184 * t108;
2337: 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;
2338: t1221 = t256 * t1161;
2339: t1224 = t35 * t108;
2340: t1233 = t7 * t256;
2341: 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;
2342: t1240 = t1135 * t1195;
2343: t1252 = t629 * t127;
2344: t1263 = t1171 * ZA;
2345: 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;
2346: t1283 = t1199 * t19;
2347: t1287 = t1199 * t127;
2348: t1289 = t59 * nz * t1161;
2349: t1293 = t157 * nz * xc;
2350: t1304 = t1132 * t108;
2351: t1310 = t263 * ZB;
2352: t1316 = t2 * t15;
2353: 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;
2354: t1330 = t1132 * t15;
2355: t1336 = t1132 * t1;
2356: t1338 = t1162 * t179;
2357: 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;
2358: t1376 = t7 * t184;
2359: t1380 = t1176 * t1195;
2360: t1393 = t1330 * t35;
2361: 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;
2362: 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;
2363: _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);
2364: /****************************************************************************************/
2365: t1 = nz * nz;
2366: t2 = t1 * xc;
2367: t3 = ZB * ZB;
2368: t5 = t2 * 0.3141592654e1 * t3;
2369: t6 = nx * 0.3141592654e1;
2370: t7 = t6 * xc;
2371: t8 = PetscCosReal(t7);
2372: t9 = nx * nx;
2373: t10 = t8 * t9;
2374: t11 = nz * 0.3141592654e1;
2375: t12 = PetscExpReal(t11);
2376: t13 = t12 * t12;
2377: t16 = PetscExpReal(xc * nz * 0.3141592654e1);
2378: t17 = t16 * t16;
2379: t18 = t17 * t16;
2380: t19 = t17 * t17;
2381: t20 = t19 * t18;
2382: t21 = t13 * t20;
2383: t22 = t10 * t21;
2384: t25 = ZA * ZA;
2385: t26 = t1 * t25;
2386: t27 = xc * 0.3141592654e1;
2387: t28 = t26 * t27;
2388: t29 = t19 * t16;
2389: t30 = t13 * t13;
2390: t31 = t29 * t30;
2391: t35 = t9 * nx;
2392: t36 = t3 * t35;
2393: t37 = PetscSinReal(t6);
2394: t38 = t13 * t12;
2395: t39 = t37 * t38;
2396: t40 = t39 * t19;
2397: t42 = t1 * t1;
2398: t43 = nx * t42;
2399: t44 = xc * xc;
2400: t45 = t25 * t44;
2401: t46 = t43 * t45;
2402: t47 = 0.3141592654e1 * 0.3141592654e1;
2403: t48 = t47 * t37;
2404: t49 = t17 * t38;
2405: t54 = 0.3141592654e1 * t35;
2406: t55 = ZA * nz * t54;
2407: t56 = t37 * ZB;
2408: t57 = t19 * t12;
2409: t61 = t25 * t8;
2410: t62 = t61 * t9;
2411: t63 = nz * t30;
2412: t64 = t63 * t16;
2413: t67 = t1 * nz;
2414: t69 = t47 * ZB;
2415: t70 = t67 * t44 * t69;
2416: t75 = nx * t3;
2417: t76 = t75 * t37;
2418: t77 = t67 * 0.3141592654e1;
2419: t78 = t19 * t19;
2420: t79 = t78 * t12;
2421: t80 = t77 * t79;
2422: t82 = t3 * t38;
2423: t84 = t54 * t37;
2424: t87 = PetscSinReal(t7);
2425: t88 = t29 * t87;
2426: t89 = t47 * t44;
2427: t93 = nx * t25;
2428: t94 = t87 * t42;
2429: t95 = t93 * t94;
2430: t96 = t47 * xc;
2431: t97 = t13 * t29;
2432: t98 = t96 * t97;
2433: t101 = t87 * t67;
2434: t102 = t93 * t101;
2435: t103 = t13 * t18;
2436: t107 = t47 * t35;
2437: t108 = t26 * t107;
2438: t109 = t37 * t44;
2439: t110 = t19 * t17;
2440: t111 = t12 * t110;
2441: t116 = t37 * t19 * t12;
2442: t118 = t37 * xc;
2443: t119 = ZB * t19;
2444: t120 = t119 * t12;
2445: t121 = t118 * t120;
2446: t125 = xc * t3;
2447: t126 = t1 * t47 * t125;
2448: t127 = t35 * t37;
2449: t128 = t38 * t19;
2450: t129 = t127 * t128;
2451: t132 = t26 * 0.3141592654e1;
2452: t133 = t16 * t13;
2453: t134 = t10 * t133;
2454: t137 = 0.3141592654e1 * ZB;
2455: t138 = t2 * t137;
2456: t139 = ZA * t8;
2457: t140 = t9 * t13;
2458: t145 = t30 * t18;
2459: t146 = t10 * t145;
2460: t149 = t3 * t8;
2461: t150 = t149 * t9;
2462: 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;
2463: t154 = t42 * nz;
2464: t155 = nx * t154;
2465: t156 = t44 * xc;
2466: t157 = t47 * 0.3141592654e1;
2467: t158 = t156 * t157;
2468: t159 = t155 * t158;
2469: t162 = t56 * ZA * t19 * t12;
2470: t165 = t77 * t49;
2471: t167 = t1 * t3;
2472: t168 = t167 * t89;
2473: t169 = t127 * t49;
2474: t172 = t37 * t67;
2475: t173 = t75 * t172;
2476: t174 = t38 * t110;
2477: t175 = t27 * t174;
2478: t179 = t47 * t25;
2479: t181 = t10 * t97;
2480: t184 = t27 * t31;
2481: t187 = t67 * t47;
2482: t188 = t44 * t3;
2483: t189 = t187 * t188;
2484: t192 = t25 * t35;
2485: t193 = t37 * t17;
2486: t194 = t193 * t12;
2487: t196 = nx * ZA;
2488: t197 = t196 * t172;
2489: t198 = ZB * t38;
2490: t199 = t198 * t19;
2491: t204 = t1 * t12 * t110;
2492: t207 = nx * ZB;
2493: t209 = t1 * ZA;
2494: t215 = t67 * t3;
2495: t216 = t47 * t8;
2496: t217 = t215 * t216;
2497: t218 = t9 * xc;
2498: t222 = nx * t67;
2499: t223 = t222 * t27;
2500: t224 = t3 * t87;
2501: t228 = t167 * t107;
2502: t232 = t26 * t96;
2503: t235 = t207 * t94;
2504: t236 = t47 * ZA;
2505: t243 = xc * t13;
2506: t244 = t243 * t29;
2507: t248 = t25 * nz;
2508: t249 = t248 * 0.3141592654e1;
2509: t253 = ZB * ZA;
2510: t254 = t253 * t8;
2511: t255 = t9 * nz;
2512: t256 = t30 * t16;
2513: 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;
2514: t263 = t43 * t179;
2515: t267 = t3 * nz;
2516: t268 = t267 * t54;
2517: t269 = t118 * t57;
2518: t272 = t39 * t1;
2519: t274 = t67 * t25;
2520: t275 = t274 * t158;
2521: t278 = t75 * t87;
2522: t279 = t77 * t103;
2523: t282 = t25 * t38;
2524: t285 = ZA * t38;
2525: t290 = t267 * 0.3141592654e1;
2526: t296 = t77 * t111;
2527: t298 = t196 * t37;
2528: t299 = t1 * ZB;
2529: t303 = t37 * t42;
2530: t304 = t196 * t303;
2531: t308 = t77 * t57;
2532: t310 = t26 * t89;
2533: t313 = t77 * t128;
2534: t316 = t101 * t27;
2535: t319 = t93 * t87;
2536: t320 = t77 * t97;
2537: t323 = t127 * t57;
2538: t326 = t10 * nz;
2539: t329 = t118 * t174;
2540: 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;
2541: t335 = t75 * t101;
2542: t336 = t27 * t21;
2543: t342 = t77 * t133;
2544: t347 = t209 * t137;
2545: t350 = t9 * t1;
2546: t351 = t149 * t350;
2547: t355 = t37 * t78 * t12;
2548: t359 = t93 * t303;
2549: t367 = t172 * 0.3141592654e1;
2550: t369 = t96 * t103;
2551: t376 = t209 * t107;
2552: t379 = t10 * t103;
2553: t383 = t207 * t101;
2554: t389 = 0.3141592654e1 * ZA;
2555: t390 = t222 * t389;
2556: t391 = t87 * ZB;
2557: 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;
2558: t402 = t39 * t110;
2559: t404 = t193 * t38;
2560: t406 = t127 * t174;
2561: t408 = t167 * 0.3141592654e1;
2562: t411 = t44 * t157;
2563: t412 = t155 * t411;
2564: t413 = t285 * t19;
2565: t414 = t56 * t413;
2566: t417 = ZA * t30;
2567: t424 = t93 * t37;
2568: t426 = t248 * t54;
2569: t427 = t17 * t12;
2570: t428 = t118 * t427;
2571: t431 = t77 * t21;
2572: t438 = ZA * t13;
2573: t443 = t93 * t172;
2574: t444 = t27 * t427;
2575: t448 = t1 * t78 * t12;
2576: t455 = t274 * t89;
2577: t461 = t118 * t111;
2578: 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;
2579: t469 = nz * t16 * t13;
2580: t474 = t1 * t38;
2581: t475 = t474 * t19;
2582: t480 = t89 * t103;
2583: t483 = t67 * ZA;
2584: t484 = t483 * t411;
2585: t485 = t127 * t120;
2586: t488 = t127 * t111;
2587: t497 = t77 * t427;
2588: t502 = t27 * t97;
2589: t508 = t1 * t19 * t12;
2590: t511 = t155 * t25 * t156;
2591: t512 = t157 * t37;
2592: t513 = t512 * t128;
2593: t527 = t1 * t17;
2594: t528 = t527 * t38;
2595: 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;
2596: t535 = t44 * t13;
2597: t542 = t527 * t12;
2598: t544 = nz * t13;
2599: t545 = t544 * t20;
2600: t548 = t75 * t303;
2601: t549 = t96 * t111;
2602: t552 = ZA * t35;
2603: t553 = t552 * t37;
2604: t562 = t43 * t96;
2605: t563 = t3 * t37;
2606: t564 = t563 * t128;
2607: t579 = t474 * t110;
2608: t590 = t9 * t30;
2609: t591 = t590 * t18;
2610: t595 = t127 * t427;
2611: t598 = t77 * t174;
2612: 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;
2613: t601 = t27 * t49;
2614: t604 = t127 * t79;
2615: t606 = ZB * t29;
2616: t616 = t139 * t140 * t18;
2617: t638 = t10 * t256;
2618: t643 = t118 * t199;
2619: t653 = t544 * t29;
2620: t658 = t3 * t29;
2621: t660 = t350 * t27;
2622: 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;
2623: t670 = t274 * t411;
2624: t673 = t118 * t49;
2625: t694 = t155 * t45;
2626: t713 = nz * t29 * t30;
2627: t717 = t20 * t87;
2628: t723 = t512 * t57;
2629: 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;
2630: t734 = t43 * t89;
2631: t735 = t563 * t427;
2632: t740 = t75 * t94;
2633: t744 = ZB * xc;
2634: t750 = t563 * t57;
2635: t754 = t218 * t103;
2636: t771 = t127 * t199;
2637: t776 = t89 * t174;
2638: 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;
2639: t794 = t483 * t158;
2640: t801 = t2 * 0.3141592654e1;
2641: t818 = t215 * t411;
2642: t827 = t96 * t174;
2643: t837 = t37 * t12 * t110;
2644: 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;
2645: t864 = t544 * t18;
2646: t867 = t3 * t18;
2647: t884 = t27 * t256;
2648: t891 = t187 * t744;
2649: t894 = t563 * t49;
2650: 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;
2651: t904 = t27 * t111;
2652: t907 = t118 * t128;
2653: t915 = t89 * t145;
2654: t947 = t139 * t140 * t29;
2655: 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;
2656: t969 = t67 * t157 * t156 * t3;
2657: t974 = t27 * t133;
2658: 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;
2659: t1042 = t89 * t97;
2660: 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;
2661: 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;
2662: t1103 = t42 * t1 * t157;
2663: t1104 = t1103 * t25;
2664: t1108 = t3 * t19;
2665: t1112 = nz * t47;
2666: t1113 = t9 * t9;
2667: t1118 = t42 * t157;
2668: t1119 = t1118 * t9;
2669: t1120 = t25 * xc;
2670: t1121 = t13 * t110;
2671: t1122 = t1120 * t1121;
2672: t1125 = t47 * t47;
2673: t1126 = t67 * t1125;
2674: t1127 = t1113 * ZA;
2675: t1128 = t1126 * t1127;
2676: t1129 = t19 * t13;
2677: t1130 = t744 * t1129;
2678: t1133 = t154 * t1125;
2679: t1134 = t1133 * t9;
2680: t1135 = t45 * t1129;
2681: t1138 = t154 * t47;
2682: t1139 = t25 * t30;
2683: t1142 = t1126 * t1113;
2684: t1145 = t125 * t1129;
2685: t1148 = t1103 * xc;
2686: t1149 = t3 * t13;
2687: t1150 = t1149 * t17;
2688: t1153 = t25 * t78;
2689: 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;
2690: t1157 = t25 * t13;
2691: t1158 = t1157 * t17;
2692: t1161 = t13 * t17;
2693: t1162 = t1120 * t1161;
2694: t1165 = t3 * t78;
2695: t1170 = t42 * t67 * t1125;
2696: t1172 = t1108 * t13;
2697: t1175 = t1 * t157;
2698: t1176 = t1175 * t1113;
2699: t1182 = t1120 * t1129;
2700: t1189 = t110 * t9 * xc;
2701: t1192 = t1149 * t110;
2702: 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;
2703: t1209 = t17 * t30;
2704: t1210 = t125 * t1209;
2705: t1213 = t1138 * ZA;
2706: t1214 = ZB * t30;
2707: t1218 = t1157 * t110;
2708: t1226 = t3 * t30;
2709: t1237 = t1170 * t25;
2710: 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;
2711: t1251 = t125 * t1121;
2712: t1260 = t1120 * t1209;
2713: t1263 = t1139 * t19;
2714: 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;
2715: t1287 = t188 * t1129;
2716: t1292 = t25 * t19;
2717: t1296 = t187 * t9;
2718: t1297 = t1226 * t19;
2719: t1311 = t1112 * t1113;
2720: 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;
2721: t1320 = t253 * t1129;
2722: t1328 = t253 * t30 * t19;
2723: t1333 = t125 * t1161;
2724: t1343 = ZB * t44 * t1129;
2725: 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;
2726: t1369 = t1133 * t9 * ZA;
2727: t1378 = t187 * ZA;
2728: t1383 = t1170 * ZA;
2729: 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;
2730: 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;
2732: _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);
2733: /****************************************************************************************/
2734: /****************************************************************************************/
2736: if (x > xc) {
2737: _PC1 = _PC1B;
2738: _PC2 = _PC2B;
2739: _PC3 = _PC3B;
2740: _PC4 = _PC4B;
2741: Z = ZB;
2742: } else {
2743: _PC1 = _PC1A;
2744: _PC2 = _PC2A;
2745: _PC3 = _PC3A;
2746: _PC4 = _PC4A;
2747: Z = ZA;
2748: }
2749: /****************************************************************************************/
2750: /****************************************************************************************/
2751: t1 = nz * nz;
2752: t2 = t1 * t1;
2753: t3 = t2 * nz;
2754: t4 = x * t3;
2755: t5 = 0.3141592654e1 * 0.3141592654e1;
2756: t6 = t5 * 0.3141592654e1;
2757: t11 = _PC3 * t6;
2758: t12 = x * nz;
2759: t13 = nx * nx;
2760: t14 = t13 * t13;
2761: t15 = t12 * t14;
2762: t19 = PetscExpReal(t12 * 0.3141592654e1);
2763: t20 = t19 * t19;
2764: t21 = t4 * t20;
2765: t24 = _PC1 * t5;
2766: t25 = Z * t20;
2767: t29 = _PC1 * t6;
2768: t30 = t29 * Z;
2769: t31 = t1 * nz;
2770: t32 = x * t31;
2771: t33 = t32 * t13;
2772: t36 = t11 * x;
2773: t41 = nz * t20;
2774: t45 = t6 * _PC4;
2775: t49 = t20 * t1;
2776: t51 = _PC2 * Z;
2777: 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;
2778: t58 = t32 * t6;
2779: t59 = _PC4 * t20;
2780: t63 = t20 * t13;
2781: t67 = t12 * t6;
2782: t68 = t20 * t14;
2783: t87 = t49 * t13;
2784: 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;
2785: t106 = _PC3 * t5;
2786: 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;
2787: t129 = PetscSinReal(nx * 0.3141592654e1 * x);
2788: 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;
2789: t158 = t5 * Z;
2791: u1 = (t55 + t90 + t120 + t155) / (0.4e1 * t158 * t19 * t2 + 0.8e1 * t158 * t19 * t1 * t13 + 0.4e1 * t158 * t19 * t14);
2792: /****************************************************************************************/
2793: /****************************************************************************************/
2794: t1 = nz * nz;
2795: t2 = t1 * nz;
2796: t3 = x * t2;
2797: t4 = 0.3141592654e1 * 0.3141592654e1;
2798: t5 = t4 * 0.3141592654e1;
2799: t6 = t3 * t5;
2800: t7 = _PC2 * Z;
2801: t8 = nx * nx;
2802: t12 = t1 * t1;
2803: t13 = t12 * nz;
2804: t14 = x * t13;
2805: t15 = t5 * _PC4;
2806: t16 = x * nz;
2807: t18 = PetscExpReal(t16 * 0.3141592654e1);
2808: t19 = t18 * t18;
2809: t23 = t16 * t5;
2810: t24 = t8 * t8;
2811: t28 = _PC3 * t5;
2812: t29 = t14 * t19;
2813: t32 = _PC1 * t5;
2814: t33 = t32 * Z;
2815: t34 = t16 * t24;
2816: t37 = _PC4 * t19;
2817: t45 = _PC2 * t4;
2818: t53 = t19 * t8;
2819: t58 = _PC4 * t4;
2820: t60 = t1 * t19 * t8;
2821: t63 = t19 * t24;
2822: t67 = t3 * t8;
2823: t73 = nz * t19;
2824: t86 = t28 * x;
2825: 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;
2826: t94 = Z * t12;
2827: 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;
2828: t146 = PetscCosReal(nx * 0.3141592654e1 * x);
2829: 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;
2830: t159 = t4 * Z;
2832: 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);
2833: /****************************************************************************************/
2834: /****************************************************************************************/
2835: t1 = 0.3141592654e1 * 0.3141592654e1;
2836: t2 = t1 * 0.3141592654e1;
2837: t3 = _PC1 * t2;
2838: t4 = t3 * Z;
2839: t5 = nz * nz;
2840: t6 = t5 * t5;
2841: t7 = t6 * nz;
2842: t8 = x * t7;
2843: t9 = x * nz;
2844: t11 = PetscExpReal(t9 * 0.3141592654e1);
2845: t12 = t11 * t11;
2846: t13 = t8 * t12;
2847: t16 = t5 * nz;
2848: t17 = x * t16;
2849: t18 = t17 * t2;
2850: t19 = _PC4 * t12;
2851: t20 = nx * nx;
2852: t24 = t2 * _PC4;
2853: t28 = _PC3 * t2;
2854: t29 = t28 * x;
2855: t30 = t12 * nz;
2856: t31 = t20 * t20;
2857: t40 = _PC2 * Z;
2858: t44 = t9 * t2;
2859: t48 = t12 * t20;
2860: t52 = t17 * t20;
2861: 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;
2862: t58 = t9 * t31;
2863: t61 = _PC3 * t1;
2864: t62 = t12 * t31;
2865: t73 = t5 * t20;
2866: t78 = _PC1 * t1;
2867: t90 = Z * t12;
2868: 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;
2869: t101 = PetscCosReal(nx * 0.3141592654e1 * x);
2870: t102 = t11 * t101;
2871: t109 = t12 * t5;
2872: t110 = t109 * t20;
2873: 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;
2874: 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;
2875: t159 = t1 * t11;
2877: u3 = (t57 + t94 + t128 + t156) / (0.4e1 * t159 * t6 + 0.8e1 * t159 * t73 + 0.4e1 * t159 * t31);
2878: /****************************************************************************************/
2879: /****************************************************************************************/
2880: t1 = _PC2 * Z;
2881: t2 = 0.3141592654e1 * 0.3141592654e1;
2882: t3 = t2 * 0.3141592654e1;
2883: t4 = nz * nz;
2884: t5 = t4 * t4;
2885: t6 = t5 * t4;
2886: t8 = t3 * t6 * x;
2887: t11 = x * t4;
2888: t12 = t11 * t3;
2889: t15 = PetscExpReal(x * nz * 0.3141592654e1);
2890: t16 = t15 * t15;
2891: t17 = _PC3 * t16;
2892: t18 = nx * nx;
2893: t19 = t18 * t18;
2894: t23 = t5 * nz;
2895: t24 = t2 * t23;
2896: t28 = t1 * t3;
2897: t29 = t6 * x;
2898: t30 = t29 * t16;
2899: t33 = _PC4 * t3;
2900: t34 = t5 * x;
2901: t35 = t34 * t18;
2902: t41 = PetscSinReal(nx * 0.3141592654e1 * x);
2903: t47 = t11 * t19;
2904: t54 = t3 * _PC3;
2905: 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;
2906: t58 = 0.3141592654e1 * t16;
2907: t60 = t2 * _PC4;
2908: t69 = t4 * nz;
2909: t73 = t1 * t2;
2910: t75 = t69 * t16 * t18;
2911: t79 = x * t16;
2912: t83 = nz * t16;
2913: t84 = t83 * t19;
2914: 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;
2915: t97 = t34 * t3;
2916: t101 = Z * _PC1;
2917: t102 = t16 * t19;
2918: t106 = t16 * t18;
2919: t127 = t2 * t69;
2920: t131 = t2 * nz;
2921: 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;
2922: 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;
2924: u4 = (t57 + t95 + t135 + t164) / (0.4e1 * t24 * t15 + 0.8e1 * t127 * t15 * t18 + 0.4e1 * t131 * t15 * t19);
2926: /****************************************************************************************/
2927: /****************************************************************************************/
2929: u5 = (PetscReal)(-2 * Z * nz * PETSC_PI * u2 - u3 * 2 * nz * PETSC_PI) * PetscCosReal(nz * PETSC_PI * z); /* pressure */
2931: u6 = (PetscReal)(u3 * 2 * nz * PETSC_PI + 4 * Z * nz * PETSC_PI * u2) * PetscCosReal(nz * PETSC_PI * z); /* zz stress */
2932: sum5 += u5;
2933: sum6 += u6;
2935: u1 *= PetscCosReal(nz * PETSC_PI * z); /* x velocity */
2936: sum1 += u1;
2937: u2 *= PetscSinReal(nz * PETSC_PI * z); /* z velocity */
2938: sum2 += u2;
2939: u3 *= 2 * nz * PETSC_PI * PetscCosReal(nz * PETSC_PI * z); /* xx stress */
2940: sum3 += u3;
2941: u4 *= 2 * nz * PETSC_PI * PetscSinReal(nz * PETSC_PI * z); /* zx stress */
2942: sum4 += u4;
2944: /* Output */
2945: if (mu) *mu = Z;
2946: if (vel) {
2947: vel[0] = sum1;
2948: vel[1] = sum2;
2949: }
2950: if (p) (*p) = sum5;
2951: if (s) {
2952: s[0] = sum3;
2953: s[1] = sum4;
2954: s[2] = sum6;
2955: }
2956: if (gamma) {
2957: /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
2958: gamma[0] = (sum3 + sum5) / (2.0 * Z);
2959: gamma[1] = (sum4) / (2.0 * Z);
2960: gamma[2] = (sum6 + sum5) / (2.0 * Z);
2961: }
2962: PetscFunctionReturn(PETSC_SUCCESS);
2963: }
2965: static PetscErrorCode SolCxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
2966: {
2967: Parameter *s = (Parameter *)ctx;
2969: PetscFunctionBegin;
2970: PetscCall(SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, v, NULL, NULL, NULL, NULL));
2971: PetscFunctionReturn(PETSC_SUCCESS);
2972: }
2974: static PetscErrorCode SolCxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
2975: {
2976: Parameter *s = (Parameter *)ctx;
2978: PetscFunctionBegin;
2979: PetscCall(SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, NULL, p, NULL, NULL, NULL));
2980: PetscFunctionReturn(PETSC_SUCCESS);
2981: }
2983: static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
2984: {
2985: PetscInt sol;
2987: PetscFunctionBeginUser;
2988: options->solType = SOLKX;
2989: PetscOptionsBegin(comm, "", "Variable-Viscosity Stokes Problem Options", "DMPLEX");
2990: sol = options->solType;
2991: PetscCall(PetscOptionsEList("-sol_type", "Type of exact solution", "ex69.c", solTypes, NUM_SOL_TYPES, solTypes[options->solType], &sol, NULL));
2992: options->solType = (SolutionType)sol;
2993: PetscOptionsEnd();
2994: PetscFunctionReturn(PETSC_SUCCESS);
2995: }
2997: static PetscErrorCode SetUpParameters(AppCtx *user)
2998: {
2999: PetscBag bag;
3000: Parameter *p;
3002: PetscFunctionBeginUser;
3003: /* setup PETSc parameter bag */
3004: PetscCall(PetscBagGetData(user->bag, (void **)&p));
3005: PetscCall(PetscBagSetName(user->bag, "par", "Problem parameters"));
3006: bag = user->bag;
3007: switch (user->solType) {
3008: case SOLKX:
3009: PetscCall(PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation"));
3010: PetscCall(PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation"));
3011: PetscCall(PetscBagRegisterReal(bag, &p->B, 1.0, "B", "Exponential scale for viscosity variation"));
3012: break;
3013: case SOLCX:
3014: PetscCall(PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation"));
3015: PetscCall(PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation"));
3016: PetscCall(PetscBagRegisterReal(bag, &p->etaA, 1.0, "etaA", "Viscosity for x < xc"));
3017: PetscCall(PetscBagRegisterReal(bag, &p->etaB, 1.0, "etaB", "Viscosity for x > xc"));
3018: PetscCall(PetscBagRegisterReal(bag, &p->xc, 0.5, "xc", "x-coordinate of the viscosity jump"));
3019: break;
3020: default:
3021: SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3022: }
3023: PetscCall(PetscBagSetFromOptions(bag));
3024: PetscCall(PetscBagViewFromOptions(bag, NULL, "-param_view"));
3025: PetscFunctionReturn(PETSC_SUCCESS);
3026: }
3028: /* Make split labels so that we can have corners in multiple labels */
3029: static PetscErrorCode CreateSplitLabels(DM dm)
3030: {
3031: const char *names[4] = {"markerBottom", "markerRight", "markerTop", "markerLeft"};
3032: PetscInt ids[4] = {1, 2, 3, 4};
3033: DMLabel label;
3034: IS is;
3035: PetscInt f;
3037: PetscFunctionBeginUser;
3038: for (f = 0; f < 4; ++f) {
3039: PetscCall(DMCreateLabel(dm, names[f]));
3040: PetscCall(DMGetStratumIS(dm, "marker", ids[f], &is));
3041: if (!is) continue;
3042: PetscCall(DMGetLabel(dm, names[f], &label));
3043: PetscCall(DMLabelInsertIS(label, is, 1));
3044: PetscCall(ISDestroy(&is));
3045: }
3046: PetscFunctionReturn(PETSC_SUCCESS);
3047: }
3049: static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
3050: {
3051: DM cdm;
3053: PetscFunctionBeginUser;
3054: PetscCall(DMCreate(comm, dm));
3055: PetscCall(DMSetType(*dm, DMPLEX));
3056: PetscCall(DMSetFromOptions(*dm));
3057: cdm = *dm;
3058: while (cdm) {
3059: PetscCall(CreateSplitLabels(cdm));
3060: PetscCall(DMGetCoarseDM(cdm, &cdm));
3061: }
3062: PetscCall(DMViewFromOptions(*dm, NULL, "-dm_view"));
3063: PetscFunctionReturn(PETSC_SUCCESS);
3064: }
3066: static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
3067: {
3068: PetscErrorCode (*exactFunc)(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
3069: PetscDS prob;
3070: DMLabel label;
3071: const PetscInt id = 1;
3072: PetscInt dim, comp;
3073: Parameter *ctx;
3074: void *data;
3076: PetscFunctionBeginUser;
3077: PetscCall(DMGetDimension(dm, &dim));
3078: PetscCall(DMGetDS(dm, &prob));
3079: switch (user->solType) {
3080: case SOLKX:
3081: PetscCall(PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_kx));
3082: PetscCall(PetscDSSetResidual(prob, 1, stokes_mass, f1_zero));
3083: PetscCall(PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx));
3084: PetscCall(PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL));
3085: PetscCall(PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL));
3086: PetscCall(PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx));
3087: PetscCall(PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_kx, NULL, NULL, NULL));
3088: break;
3089: case SOLCX:
3090: PetscCall(PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_cx));
3091: PetscCall(PetscDSSetResidual(prob, 1, stokes_mass, f1_zero));
3092: PetscCall(PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_cx));
3093: PetscCall(PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL));
3094: PetscCall(PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL));
3095: PetscCall(PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx));
3096: PetscCall(PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_cx, NULL, NULL, NULL));
3097: break;
3098: default:
3099: SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3100: }
3101: PetscCall(PetscBagGetData(user->bag, &data));
3102: switch (dim) {
3103: case 2:
3104: switch (user->solType) {
3105: case SOLKX:
3106: PetscCall(PetscDSSetExactSolution(prob, 0, SolKxSolutionVelocity, data));
3107: PetscCall(PetscDSSetExactSolution(prob, 1, SolKxSolutionPressure, data));
3108: break;
3109: case SOLCX:
3110: PetscCall(PetscDSSetExactSolution(prob, 0, SolCxSolutionVelocity, data));
3111: PetscCall(PetscDSSetExactSolution(prob, 1, SolCxSolutionPressure, data));
3112: break;
3113: default:
3114: SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3115: }
3116: break;
3117: default:
3118: SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
3119: }
3120: /* Setup constants */
3121: {
3122: Parameter *param;
3124: PetscCall(PetscBagGetData(user->bag, (void **)¶m));
3125: switch (user->solType) {
3126: case SOLKX: {
3127: PetscScalar constants[3];
3129: constants[0] = param->m;
3130: constants[1] = param->n;
3131: constants[2] = param->B;
3132: PetscCall(PetscDSSetConstants(prob, 3, constants));
3133: } break;
3134: case SOLCX: {
3135: PetscScalar constants[5];
3137: constants[0] = param->m;
3138: constants[1] = param->n;
3139: constants[2] = param->etaA;
3140: constants[3] = param->etaB;
3141: constants[4] = param->xc;
3142: PetscCall(PetscDSSetConstants(prob, 5, constants));
3143: } break;
3144: default:
3145: SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_SUP, "No parameter information for solution type %d", user->solType);
3146: }
3147: }
3148: /* Setup Boundary Conditions */
3149: PetscCall(PetscDSGetExactSolution(prob, 0, &exactFunc, (void **)&ctx));
3150: comp = 1;
3151: PetscCall(DMGetLabel(dm, "markerBottom", &label));
3152: PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallB", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
3153: comp = 0;
3154: PetscCall(DMGetLabel(dm, "markerRight", &label));
3155: PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallR", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
3156: comp = 1;
3157: PetscCall(DMGetLabel(dm, "markerTop", &label));
3158: PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallT", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
3159: comp = 0;
3160: PetscCall(DMGetLabel(dm, "markerLeft", &label));
3161: PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallL", label, 1, &id, 0, 1, &comp, (void (*)(void))exactFunc, NULL, ctx, NULL));
3162: PetscFunctionReturn(PETSC_SUCCESS);
3163: }
3165: static PetscErrorCode CreatePressureNullSpace(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullspace)
3166: {
3167: Vec vec;
3168: PetscErrorCode (*funcs[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx) = {zero, one};
3170: PetscFunctionBeginUser;
3171: PetscCheck(origField == 1, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Field %" PetscInt_FMT " should be 1 for pressure", origField);
3172: funcs[field] = one;
3173: {
3174: PetscDS ds;
3175: PetscCall(DMGetDS(dm, &ds));
3176: PetscCall(PetscObjectViewFromOptions((PetscObject)ds, NULL, "-ds_view"));
3177: }
3178: PetscCall(DMCreateGlobalVector(dm, &vec));
3179: PetscCall(DMProjectFunction(dm, 0.0, funcs, NULL, INSERT_ALL_VALUES, vec));
3180: PetscCall(VecNormalize(vec, NULL));
3181: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)dm), PETSC_FALSE, 1, &vec, nullspace));
3182: PetscCall(VecDestroy(&vec));
3183: /* New style for field null spaces */
3184: {
3185: PetscObject pressure;
3186: MatNullSpace nullspacePres;
3188: PetscCall(DMGetField(dm, field, NULL, &pressure));
3189: PetscCall(MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullspacePres));
3190: PetscCall(PetscObjectCompose(pressure, "nullspace", (PetscObject)nullspacePres));
3191: PetscCall(MatNullSpaceDestroy(&nullspacePres));
3192: }
3193: PetscFunctionReturn(PETSC_SUCCESS);
3194: }
3196: static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
3197: {
3198: DM cdm = dm;
3199: PetscFE fe[2];
3200: DMPolytopeType ct;
3201: PetscInt dim, cStart;
3202: PetscBool simplex;
3204: PetscFunctionBeginUser;
3205: PetscCall(DMGetDimension(dm, &dim));
3206: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
3207: PetscCall(DMPlexGetCellType(dm, cStart, &ct));
3208: simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct) + 1 ? PETSC_TRUE : PETSC_FALSE;
3209: /* Create discretization of solution fields */
3210: PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, dim, simplex, "vel_", PETSC_DEFAULT, &fe[0]));
3211: PetscCall(PetscObjectSetName((PetscObject)fe[0], "velocity"));
3212: PetscCall(PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "pres_", PETSC_DEFAULT, &fe[1]));
3213: PetscCall(PetscFECopyQuadrature(fe[0], fe[1]));
3214: PetscCall(PetscObjectSetName((PetscObject)fe[1], "pressure"));
3215: /* Set discretization and boundary conditions for each mesh */
3216: PetscCall(DMSetField(dm, 0, NULL, (PetscObject)fe[0]));
3217: PetscCall(DMSetField(dm, 1, NULL, (PetscObject)fe[1]));
3218: PetscCall(DMCreateDS(dm));
3219: PetscCall(SetupProblem(dm, user));
3220: while (cdm) {
3221: PetscCall(DMCopyDisc(dm, cdm));
3222: PetscCall(DMSetNullSpaceConstructor(cdm, 1, CreatePressureNullSpace));
3223: PetscCall(DMGetCoarseDM(cdm, &cdm));
3224: }
3225: PetscCall(PetscFEDestroy(&fe[0]));
3226: PetscCall(PetscFEDestroy(&fe[1]));
3227: {
3228: PetscObject pressure;
3229: MatNullSpace nullSpacePres;
3231: PetscCall(DMGetField(dm, 1, NULL, &pressure));
3232: PetscCall(MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullSpacePres));
3233: PetscCall(PetscObjectCompose(pressure, "nullspace", (PetscObject)nullSpacePres));
3234: PetscCall(MatNullSpaceDestroy(&nullSpacePres));
3235: }
3236: PetscFunctionReturn(PETSC_SUCCESS);
3237: }
3239: /* Add a vector in the nullspace to make the continuum integral 0.
3241: If int(u) = a and int(n) = b, then int(u - a/b n) = a - a/b b = 0
3242: */
3243: 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[])
3244: {
3245: p[0] = u[uOff[1]];
3246: }
3247: static PetscErrorCode CorrectDiscretePressure(DM dm, MatNullSpace nullspace, Vec u, AppCtx *user)
3248: {
3249: PetscDS ds;
3250: const Vec *nullvecs;
3251: PetscScalar pintd, intc[2], intn[2];
3252: MPI_Comm comm;
3254: PetscFunctionBeginUser;
3255: PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
3256: PetscCall(DMGetDS(dm, &ds));
3257: PetscCall(PetscDSSetObjective(ds, 1, pressure));
3258: PetscCall(MatNullSpaceGetVecs(nullspace, NULL, NULL, &nullvecs));
3259: PetscCall(VecDot(nullvecs[0], u, &pintd));
3260: PetscCheck(PetscAbsScalar(pintd) <= PETSC_SMALL, comm, PETSC_ERR_ARG_WRONG, "Discrete integral of pressure: %g", (double)PetscRealPart(pintd));
3261: PetscCall(DMPlexComputeIntegralFEM(dm, nullvecs[0], intn, user));
3262: PetscCall(DMPlexComputeIntegralFEM(dm, u, intc, user));
3263: PetscCall(VecAXPY(u, -intc[1] / intn[1], nullvecs[0]));
3264: PetscCall(DMPlexComputeIntegralFEM(dm, u, intc, user));
3265: PetscCheck(PetscAbsScalar(intc[1]) <= PETSC_SMALL, comm, PETSC_ERR_ARG_WRONG, "Continuum integral of pressure after correction: %g", (double)PetscRealPart(intc[1]));
3266: PetscFunctionReturn(PETSC_SUCCESS);
3267: }
3269: static PetscErrorCode SNESConvergenceCorrectPressure(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *user)
3270: {
3271: PetscFunctionBeginUser;
3272: PetscCall(SNESConvergedDefault(snes, it, xnorm, gnorm, f, reason, user));
3273: if (*reason > 0) {
3274: DM dm;
3275: Mat J;
3276: Vec u;
3277: MatNullSpace nullspace;
3279: PetscCall(SNESGetDM(snes, &dm));
3280: PetscCall(SNESGetSolution(snes, &u));
3281: PetscCall(SNESGetJacobian(snes, &J, NULL, NULL, NULL));
3282: PetscCall(MatGetNullSpace(J, &nullspace));
3283: PetscCheck(nullspace, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONG, "SNES Jacobian has no attached null space");
3284: PetscCall(CorrectDiscretePressure(dm, nullspace, u, (AppCtx *)user));
3285: }
3286: PetscFunctionReturn(PETSC_SUCCESS);
3287: }
3289: int main(int argc, char **argv)
3290: {
3291: SNES snes; /* nonlinear solver */
3292: DM dm; /* problem definition */
3293: Vec u, r; /* solution, residual vectors */
3294: Mat J, M; /* Jacobian and preconditiong matrix */
3295: MatNullSpace nullSpace; /* May be necessary for pressure */
3296: AppCtx user; /* user-defined work context */
3297: PetscErrorCode (*initialGuess[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx) = {zero, zero};
3299: PetscFunctionBeginUser;
3300: PetscCall(PetscInitialize(&argc, &argv, NULL, help));
3301: PetscCall(ProcessOptions(PETSC_COMM_WORLD, &user));
3302: PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
3303: PetscCall(CreateMesh(PETSC_COMM_WORLD, &user, &dm));
3304: PetscCall(SNESSetDM(snes, dm));
3305: PetscCall(DMSetApplicationContext(dm, &user));
3306: /* Setup problem parameters */
3307: PetscCall(PetscBagCreate(PETSC_COMM_WORLD, sizeof(Parameter), &user.bag));
3308: PetscCall(SetUpParameters(&user));
3309: /* Setup problem */
3310: PetscCall(SetupDiscretization(dm, &user));
3311: PetscCall(DMPlexCreateClosureIndex(dm, NULL));
3313: PetscCall(DMCreateGlobalVector(dm, &u));
3314: PetscCall(VecDuplicate(u, &r));
3316: PetscCall(DMPlexSetSNESLocalFEM(dm, &user, &user, &user));
3317: PetscCall(CreatePressureNullSpace(dm, 1, 1, &nullSpace));
3319: { /* set tolerances */
3320: KSP ksp;
3322: PetscCall(SNESGetKSP(snes, &ksp));
3323: PetscCall(KSPSetTolerances(ksp, 1.e-2 * PETSC_SMALL, PETSC_SMALL, PETSC_DEFAULT, PETSC_DEFAULT));
3324: }
3326: /* There should be a way to express this using the DM */
3327: PetscCall(SNESSetFromOptions(snes));
3328: PetscCall(SNESSetUp(snes));
3329: PetscCall(SNESGetJacobian(snes, &J, &M, NULL, NULL));
3330: PetscCall(MatSetNullSpace(J, nullSpace));
3331: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)M, "prec_"));
3332: PetscCall(MatSetFromOptions(M));
3333: PetscCall(SNESSetConvergenceTest(snes, SNESConvergenceCorrectPressure, &user, NULL));
3335: PetscCall(DMSNESCheckFromOptions(snes, u));
3336: PetscCall(DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u));
3337: PetscCall(PetscObjectSetName((PetscObject)u, "Solution"));
3338: PetscCall(SNESSolve(snes, NULL, u));
3339: {
3340: PetscErrorCode (*exacts[2])(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
3341: void *ectxs[2];
3342: PetscDS ds;
3343: Vec e;
3345: PetscCall(DMGetDS(dm, &ds));
3346: PetscCall(PetscDSGetExactSolution(ds, 0, &exacts[0], &ectxs[0]));
3347: PetscCall(PetscDSGetExactSolution(ds, 1, &exacts[1], &ectxs[1]));
3349: PetscCall(DMGetGlobalVector(dm, &e));
3350: PetscCall(PetscObjectCompose((PetscObject)e, "__Vec_bc_zero__", (PetscObject)dm));
3351: PetscCall(DMPlexComputeL2DiffVec(dm, 0.0, exacts, ectxs, u, e));
3352: PetscCall(PetscObjectSetName((PetscObject)e, "Solution Error"));
3353: PetscCall(VecViewFromOptions(e, NULL, "-error_vec_view"));
3354: PetscCall(PetscObjectCompose((PetscObject)e, "__Vec_bc_zero__", NULL));
3355: PetscCall(DMRestoreGlobalVector(dm, &e));
3356: }
3357: PetscCall(VecViewFromOptions(u, NULL, "-sol_vec_view"));
3359: PetscCall(MatNullSpaceDestroy(&nullSpace));
3360: PetscCall(VecDestroy(&u));
3361: PetscCall(VecDestroy(&r));
3362: PetscCall(SNESDestroy(&snes));
3363: PetscCall(DMDestroy(&dm));
3364: PetscCall(PetscBagDestroy(&user.bag));
3365: PetscCall(PetscFinalize());
3366: return 0;
3367: }
3369: /*TEST
3371: # 2D serial discretization tests
3372: test:
3373: suffix: p2p1
3374: requires: triangle
3375: args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3376: -snes_error_if_not_converged -dmsnes_check .001 \
3377: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3378: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3379: -fieldsplit_velocity_pc_type lu \
3380: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3381: test:
3382: suffix: p2p1_gmg
3383: requires: triangle
3384: args: -dm_plex_separate_marker -dm_refine_hierarchy 2 -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3385: -snes_error_if_not_converged -dmsnes_check .001 \
3386: -ksp_type fgmres -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3387: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3388: -fieldsplit_velocity_pc_type mg \
3389: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3390: test:
3391: suffix: p2p1_conv
3392: requires: triangle
3393: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.2]
3394: args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3395: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3396: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3397: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3398: -fieldsplit_velocity_pc_type lu \
3399: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3400: test:
3401: suffix: q2q1_conv
3402: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.1]
3403: args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3404: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3405: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3406: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3407: -fieldsplit_velocity_pc_type lu \
3408: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3409: test:
3410: suffix: q1p0_conv
3411: # -dm_refine 2 gives L_2 convergence rate: [2.0, 1.0]
3412: args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 1 -pres_petscspace_degree 0 \
3413: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3414: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3415: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3416: -fieldsplit_velocity_pc_type lu \
3417: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3418: test:
3419: suffix: q2p1_conv
3420: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.0]
3421: args: -dm_plex_simplex 0 -dm_plex_separate_marker \
3422: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 \
3423: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3424: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3425: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3426: -fieldsplit_velocity_pc_type lu \
3427: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3429: # FETI-DP tests
3430: testset:
3431: output_file: output/ex69_q2p1fetidp.out
3432: suffix: q2p1fetidp
3433: requires: !single
3434: nsize: 5
3435: args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3436: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3437: -snes_error_if_not_converged \
3438: -ksp_error_if_not_converged \
3439: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3440: -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
3441: test:
3442: suffix: aij
3443: args: -matis_localmat_type aij
3444: test:
3445: requires: viennacl !CUDA_VERSION_11PLUS broken
3446: suffix: aijviennacl
3447: args: -matis_localmat_type aijviennacl
3448: test:
3449: requires: cuda
3450: suffix: aijcusparse
3451: args: -matis_localmat_type aijcusparse
3453: testset:
3454: suffix: q2p1fetidp_deluxe
3455: output_file: output/ex69_q2p1fetidp_deluxe.out
3456: requires: mumps double
3457: nsize: 5
3458: args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3459: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3460: -snes_error_if_not_converged \
3461: -ksp_error_if_not_converged \
3462: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3463: -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 \
3464: -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
3465: test:
3466: suffix: aij
3467: args: -matis_localmat_type aij
3468: test:
3469: suffix: aij_seqdense
3470: args: -matis_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
3471: test:
3472: requires: viennacl !CUDA_VERSION_11PLUS
3473: suffix: aijviennacl
3474: args: -matis_localmat_type aijviennacl
3475: test:
3476: requires: cuda
3477: suffix: aijcusparse
3478: args: -matis_localmat_type aijcusparse
3480: testset:
3481: suffix: q2p1fetidp_deluxe_adaptive
3482: output_file: output/ex69_q2p1fetidp_deluxe_adaptive.out
3483: requires: mumps double
3484: nsize: 5
3485: args: -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3486: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3487: -snes_error_if_not_converged \
3488: -ksp_error_if_not_converged \
3489: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3490: -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 \
3491: -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
3492: test:
3493: suffix: aij
3494: args: -matis_localmat_type aij
3495: test:
3496: suffix: aij_seqdense
3497: args: -matis_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
3498: test:
3499: requires: viennacl !CUDA_VERSION_11PLUS
3500: suffix: aijviennacl
3501: args: -matis_localmat_type aijviennacl
3502: test:
3503: requires: cuda
3504: suffix: aijcusparse
3505: args: -matis_localmat_type aijcusparse
3507: test:
3508: suffix: p2p1fetidp
3509: requires: triangle
3510: nsize: 4
3511: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3512: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3513: -snes_error_if_not_converged \
3514: -ksp_error_if_not_converged \
3515: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3516: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3517: -fetidp_fieldsplit_lag_ksp_type preonly \
3518: -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
3520: test:
3521: suffix: p2p1fetidp_allp
3522: requires: triangle
3523: nsize: 4
3524: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3525: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3526: -snes_error_if_not_converged \
3527: -ksp_error_if_not_converged \
3528: -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 \
3529: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3530: -fetidp_fieldsplit_lag_ksp_type preonly \
3531: -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
3533: test:
3534: suffix: p2p1fetidp_discharm
3535: requires: triangle
3536: nsize: 4
3537: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3538: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3539: -snes_error_if_not_converged \
3540: -ksp_error_if_not_converged \
3541: -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 \
3542: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3543: -fetidp_fieldsplit_lag_ksp_type preonly \
3544: -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
3546: test:
3547: suffix: p2p1fetidp_lumped
3548: requires: triangle
3549: nsize: 4
3550: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3551: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3552: -snes_error_if_not_converged \
3553: -ksp_error_if_not_converged \
3554: -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 \
3555: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3556: -fetidp_fieldsplit_lag_ksp_type preonly \
3557: -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
3559: test:
3560: suffix: p2p1fetidp_deluxe
3561: requires: triangle mumps
3562: nsize: 4
3563: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3564: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3565: -snes_error_if_not_converged \
3566: -ksp_error_if_not_converged \
3567: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3568: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3569: -fetidp_fieldsplit_lag_ksp_type preonly \
3570: -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 \
3571: -fetidp_bddc_sub_schurs_mat_solver_type mumps -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_sub_schurs_posdef 0
3573: test:
3574: suffix: p2p1fetidp_deluxe_discharm
3575: requires: triangle mumps
3576: nsize: 4
3577: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3578: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3579: -snes_error_if_not_converged \
3580: -ksp_error_if_not_converged \
3581: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3582: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3583: -fetidp_fieldsplit_lag_ksp_type preonly \
3584: -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 \
3585: -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
3587: testset:
3588: nsize: 4
3589: requires: triangle
3590: output_file: output/ex69_p2p1fetidp_olof.out
3591: args: -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3592: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3593: -snes_error_if_not_converged \
3594: -ksp_error_if_not_converged \
3595: -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 \
3596: -fetidp_fieldsplit_p_pc_type bddc -fetidp_fieldsplit_p_pc_bddc_dirichlet_pc_type none -fetidp_fieldsplit_p_ksp_type preonly \
3597: -fetidp_fieldsplit_lag_ksp_error_if_not_converged 0 -fetidp_fieldsplit_lag_ksp_type chebyshev -fetidp_fieldsplit_lag_ksp_max_it 2 \
3598: -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
3599: test:
3600: suffix: p2p1fetidp_olof_full
3601: args: -fetidp_pc_fieldsplit_schur_fact_type full
3602: test:
3603: suffix: p2p1fetidp_olof_diag
3604: args: -fetidp_pc_fieldsplit_schur_fact_type diag
3605: test:
3606: suffix: p2p1fetidp_olof_additive
3607: args: -fetidp_pc_fieldsplit_type additive
3609: #BDDC with benign trick
3610: testset:
3611: suffix: q2p1bddc
3612: output_file: output/ex69_q2p1fetidp_deluxe.out
3613: nsize: 5
3614: 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
3615: test:
3616: requires: double
3617: suffix: benign_card
3618: # no native support for saddle point factorizations from PETSc
3619: args: -pc_bddc_dirichlet_pc_type svd -pc_bddc_neumann_pc_type svd
3620: test:
3621: requires: mumps double
3622: suffix: benign_deluxe_mumps
3623: args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mumps -sub_schurs_mat_mumps_icntl_14 1000
3624: test:
3625: requires: mumps double
3626: suffix: benign_deluxe_adaptive_mumps
3627: 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
3628: test:
3629: TODO: broken (INDEFINITE PC)
3630: requires: mkl_pardiso double !complex
3631: suffix: benign_deluxe_mkl
3632: args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mkl_pardiso -snes_rtol 1.e-7
3633: test:
3634: TODO: broken (INDEFINITE PC)
3635: requires: mkl_pardiso double !complex
3636: suffix: benign_deluxe_adaptive_mkl
3637: 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
3639: TEST*/