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 {SOLKX, SOLCX, NUM_SOL_TYPES} SolutionType;
23: const char *solTypes[NUM_SOL_TYPES+1] = {"solkx", "solcx", "unknown"};
25: typedef struct {
26: PetscInt n, m; /* x- and y-wavelengths for variation across the domain */
27: /* SolKx */
28: PetscReal B; /* Exponential scale for viscosity variation */
29: /* SolCx */
30: PetscReal etaA, etaB; /* Two viscosities for discontinuous change */
31: PetscReal xc; /* The location of viscosity jump */
32: } Parameter;
34: typedef struct {
35: SolutionType solType; /* The type of exact solution */
36: PetscBag bag; /* Holds problem parameters */
37: } AppCtx;
39: static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
40: {
41: PetscInt c;
42: for (c = 0; c < Nc; ++c) u[c] = 0.0;
43: return 0;
44: }
45: static PetscErrorCode one(PetscInt dim, PetscReal time, const PetscReal coords[], PetscInt Nc, PetscScalar *u, void *ctx)
46: {
47: PetscInt c;
48: for (c = 0; c < Nc; ++c) u[c] = 1.0;
49: return 0;
50: }
52: static void f0_u(PetscInt dim, PetscInt Nf, PetscInt NfAux,
53: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
54: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
55: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
56: {
57: f0[0] = 0.0;
58: f0[1] = -PetscSinScalar(constants[1]*PETSC_PI*x[1])*PetscCosScalar(constants[0]*PETSC_PI*x[0]);
59: }
61: static void stokes_momentum_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
62: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
63: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
64: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
65: {
66: const PetscReal mu = PetscExpReal(2.0*PetscRealPart(constants[2])*x[0]);
67: PetscInt c, d;
69: for (c = 0; c < dim; ++c) {
70: for (d = 0; d < dim; ++d) {
71: f1[c*dim+d] = mu * (u_x[c*dim+d] + u_x[d*dim+c]);
72: }
73: f1[c*dim+c] -= u[dim];
74: }
75: }
77: static void stokes_momentum_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
78: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
79: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
80: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
81: {
82: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
83: PetscInt c, d;
85: for (c = 0; c < dim; ++c) {
86: for (d = 0; d < dim; ++d) {
87: f1[c*dim+d] = mu * (u_x[c*dim+d] + u_x[d*dim+c]);
88: }
89: f1[c*dim+c] -= u[dim];
90: }
91: }
93: static void stokes_mass(PetscInt dim, PetscInt Nf, PetscInt NfAux,
94: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
95: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
96: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
97: {
98: PetscInt d;
99: f0[0] = 0.0;
100: for (d = 0; d < dim; ++d) f0[0] -= u_x[d*dim+d];
101: }
103: static void f1_zero(PetscInt dim, PetscInt Nf, PetscInt NfAux,
104: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
105: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
106: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
107: {
108: PetscInt d;
109: for (d = 0; d < dim*dim; ++d) f1[d] = 0.0;
110: }
112: /* < q, \nabla\cdot u >, J_{pu} */
113: static void stokes_mass_J(PetscInt dim, PetscInt Nf, PetscInt NfAux,
114: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
115: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
116: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g1[])
117: {
118: PetscInt d;
119: for (d = 0; d < dim; ++d) g1[d*dim+d] = -1.0; /* \frac{\partial\phi^{u_d}}{\partial x_d} */
120: }
122: /* -< \nabla\cdot v, p >, J_{up} */
123: static void stokes_momentum_pres_J(PetscInt dim, PetscInt Nf, PetscInt NfAux,
124: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
125: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
126: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g2[])
127: {
128: PetscInt d;
129: for (d = 0; d < dim; ++d) g2[d*dim+d] = -1.0; /* \frac{\partial\psi^{u_d}}{\partial x_d} */
130: }
132: /* < \nabla v, \nabla u + {\nabla u}^T >, J_{uu}
133: This just gives \nabla u, give the perdiagonal for the transpose */
134: static void stokes_momentum_vel_J_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
135: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
136: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
137: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
138: {
139: const PetscReal mu = PetscExpReal(2.0*PetscRealPart(constants[2])*x[0]);
140: PetscInt cI, d;
142: for (cI = 0; cI < dim; ++cI) {
143: for (d = 0; d < dim; ++d) {
144: g3[((cI*dim+cI)*dim+d)*dim+d] += mu; /*g3[cI, cI, d, d]*/
145: g3[((cI*dim+d)*dim+d)*dim+cI] += mu; /*g3[cI, d, d, cI]*/
146: }
147: }
148: }
149: static void stokes_momentum_vel_J_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
150: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
151: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
152: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
153: {
154: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
155: PetscInt cI, d;
157: for (cI = 0; cI < dim; ++cI) {
158: for (d = 0; d < dim; ++d) {
159: g3[((cI*dim+cI)*dim+d)*dim+d] += mu; /*g3[cI, cI, d, d]*/
160: g3[((cI*dim+d)*dim+d)*dim+cI] += mu; /*g3[cI, d, d, cI]*/
161: }
162: }
163: }
165: /* 1/mu < q, I q >, Jp_{pp} */
166: static void stokes_identity_J_kx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
167: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
168: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
169: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
170: {
171: const PetscReal mu = PetscExpReal(2.0*PetscRealPart(constants[2])*x[0]);
172: g0[0] = 1.0/mu;
173: }
175: static void stokes_identity_J_cx(PetscInt dim, PetscInt Nf, PetscInt NfAux,
176: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
177: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
178: PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g0[])
179: {
180: const PetscReal mu = x[0] < PetscRealPart(constants[4]) ? PetscRealPart(constants[2]) : PetscRealPart(constants[3]);
181: g0[0] = 1.0/mu;
182: }
184: /*
185: SolKxSolution - Exact Stokes solutions for exponentially varying viscosity
187: Input Parameters:
188: + pos - The (x,z) coordinate at which to evaluate the solution
189: . n - The constant defining the x-dependence of the forcing function
190: . m - The constant defining the z-dependence of the forcing function
191: - B - The viscosity coefficient
193: Output Parameters:
194: + vel - The (x,z)-velocity at (x,z), or NULL
195: . p - The pressure at (x,z), or NULL
196: . s - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
197: . gamma - The strain rate, or NULL
198: - mu - The viscosity at (x,z), or NULL
200: Note:
201: $ The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
202: $ conditions everywhere. The forcing term f is given by
203: $
204: $ fx = 0
205: $ fz = sigma*sin(km*z)*cos(kn*x)
206: $
207: $ where
208: $
209: $ km = m*Pi (m may be non-integral)
210: $ kn = n*Pi
211: $
212: $ meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
213: $ The viscosity eta is exp(2*B*x).
214: */
215: static PetscErrorCode SolKxSolution(const PetscReal pos[], PetscReal m, PetscInt n, PetscReal B,
216: PetscScalar vel[], PetscScalar *p, PetscScalar s[], PetscScalar gamma[], PetscScalar *mu)
217: {
218: PetscReal sigma = 1.0;
219: PetscReal Z;
220: PetscReal u1,u2,u3,u4,u5,u6;
221: PetscReal sum1,sum2,sum3,sum4,sum5,sum6;
222: PetscReal kn,km,x,z;
223: PetscReal _PC1,_PC2,_PC3,_PC4;
224: PetscReal Rp, UU, VV;
225: PetscReal a,b,r,_aa,_bb,AA,BB,Rm;
226: PetscReal num1,num2,num3,num4,den1;
228: PetscReal t1,t2,t3,t4,t5,t6,t7,t8,t9,t10;
229: PetscReal t11,t12,t13,t14,t15,t16,t17,t18,t19,t20;
230: PetscReal t21,t22,t23,t24,t25,t26,t27,t28,t29,t30;
231: PetscReal t31,t32,t33,t34,t35,t36,t37,t38,t39,t40;
232: PetscReal t41,t42,t43,t44,t45,t46,t47,t49,t51,t53;
233: PetscReal t56,t58,t61,t62,t63,t64,t65,t66,t67,t68;
234: PetscReal t69,t70,t71,t72,t73,t74,t75,t76,t77,t78;
235: PetscReal t79,t80,t81,t82,t83,t84,t85,t86,t87,t88;
236: PetscReal t89,t90,t91,t92,t93,t94,t95,t96,t97,t99;
237: PetscReal t100,t101,t103,t104,t105,t106,t107,t108,t109,t110;
238: PetscReal t111,t112,t113,t114,t115,t116,t117,t118,t119,t120;
239: PetscReal t121,t124,t125,t126,t127,t129,t130,t132,t133,t135;
240: PetscReal t136,t138,t140,t141,t142,t143,t152,t160,t162;
243: /*************************************************************************/
244: /*************************************************************************/
245: /* rho = -sin(km*z)*cos(kn*x) */
246: x = pos[0];
247: z = pos[1];
248: Z = PetscExpReal( 2.0 * B * x);
249: km = m*PETSC_PI; /* solution valid for km not zero -- should get trivial solution if km=0 */
250: kn = (PetscReal) n*PETSC_PI;
251: /*************************************************************************/
252: /*************************************************************************/
253: a = B*B + km*km;
254: b = 2.0*km*B;
255: r = PetscSqrtReal(a*a + b*b);
256: Rp = PetscSqrtReal( (r+a)/2.0);
257: Rm = PetscSqrtReal( (r-a)/2.0);
258: UU = Rp - B;
259: VV = Rp + B;
261: sum1=0.0;
262: sum2=0.0;
263: sum3=0.0;
264: sum4=0.0;
265: sum5=0.0;
266: sum6=0.0;
267: /*sum7=0.0;*/
269: /*******************************************/
270: /* calculate the constants */
271: /*******************************************/
273: t1 = kn * kn;
274: t4 = km * km;
275: t5 = t4 + t1;
276: t6 = t5 * t5;
277: t8 = pow(km + kn, 0.2e1);
278: t9 = B * B;
279: t16 = pow(km - kn, 0.2e1);
280: _aa = -0.4e1 * B * t1 * sigma * t5 / (t6 + 0.4e1 * t8 * t9) / (t6 + 0.4e1 * t16 * t9);
282: t2 = km * km;
283: t3 = kn * kn;
284: t5 = pow(t2 + t3, 0.2e1);
285: t6 = km - kn;
286: t7 = km + kn;
287: t9 = B * B;
288: t13 = t7 * t7;
289: t19 = t6 * t6;
290: _bb = sigma * kn * (t5 + 0.4e1 * t6 * t7 * t9) / (t5 + 0.4e1 * t13 * t9) / (t5 + 0.4e1 * t19 * t9);
292: AA = _aa;
293: BB = _bb;
295: /*******************************************/
296: /* calculate the velocities etc */
297: /*******************************************/
298: t1 = Rm * Rm;
299: t2 = B - Rp;
300: t4 = Rp + B;
301: t6 = UU * x;
302: t9 = PetscExpReal(t6 - 0.4e1 * Rp);
303: t13 = B * B;
304: t16 = Rp * t1;
305: t18 = Rp * Rp;
306: t19 = B * t18;
307: t20 = t13 * Rp;
308: t22 = kn * kn;
309: t24 = B * t1;
310: t32 = 0.8e1 * t13 * BB * kn * Rp;
311: t34 = 0.2e1 * Rm;
312: t35 = PetscCosReal(t34);
313: t37 = Rp * Rm;
314: t49 = PetscSinReal(t34);
315: t63 = PetscExpReal(t6 - 0.2e1 * Rp);
316: t65 = Rm * t2;
317: t67 = 0.2e1 * B * kn;
318: t68 = B * Rm;
319: t69 = t67 + t68 + t37;
320: t73 = 0.3e1 * t13;
321: t75 = 0.2e1 * B * Rp;
322: t76 = t73 - t75 + t1 - t22 - t18;
323: t78 = t65 * t76 * BB;
324: t80 = Rm - kn;
325: t81 = PetscCosReal(t80);
326: t83 = -t67 + t68 + t37;
327: t88 = Rm + kn;
328: t89 = PetscCosReal(t88);
329: t92 = t65 * t76 * AA;
330: t97 = PetscSinReal(t80);
331: t103 = PetscSinReal(t88);
332: t108 = PetscExpReal(t6 - 0.3e1 * Rp - B);
333: t110 = Rm * t4;
334: t111 = t67 + t68 - t37;
335: t115 = t73 + t75 + t1 - t22 - t18;
336: t117 = t110 * t115 * BB;
337: t120 = -t67 + t68 - t37;
338: t127 = t110 * t115 * AA;
339: t140 = PetscExpReal(t6 - Rp - B);
340: 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;
342: t1 = Rp + B;
343: t2 = Rm * t1;
344: t3 = B * B;
345: t4 = 0.3e1 * t3;
346: t5 = B * Rp;
347: t7 = Rm * Rm;
348: t8 = kn * kn;
349: t9 = Rp * Rp;
350: t10 = t4 + 0.2e1 * t5 + t7 - t8 - t9;
351: t12 = t2 * t10 * AA;
352: t14 = B * Rm;
353: t20 = UU * x;
354: t23 = PetscExpReal(t20 - 0.4e1 * Rp);
355: t25 = Rp * Rm;
356: t32 = Rm * kn;
357: t37 = 0.2e1 * Rm;
358: t38 = PetscCosReal(t37);
359: t40 = t3 * B;
360: t44 = B * t9;
361: t45 = t3 * Rp;
362: t53 = t3 * BB;
363: t58 = PetscSinReal(t37);
364: t69 = PetscExpReal(t20 - 0.2e1 * Rp);
365: t72 = 0.3e1 * t40 * Rm;
366: t73 = t9 * Rp;
367: t74 = t73 * Rm;
368: t75 = t7 * Rm;
369: t76 = B * t75;
370: t77 = t14 * t8;
371: t78 = Rp * t75;
372: t80 = 0.8e1 * t45 * kn;
373: t81 = t25 * t8;
374: t83 = 0.5e1 * t45 * Rm;
375: t84 = t44 * Rm;
376: t85 = t72 - t74 + t76 - t77 + t78 + t80 - t81 + t83 + t84;
377: t88 = 0.2e1 * t9 * t3;
378: t90 = 0.3e1 * t40 * Rp;
379: t91 = t7 * t3;
380: t93 = 0.2e1 * t5 * t32;
381: t94 = t5 * t7;
382: t95 = t5 * t8;
383: t96 = B * t73;
384: t97 = t7 * t9;
385: t100 = 0.2e1 * t3 * Rm * kn;
386: t101 = -t88 + t90 - t91 - t93 - t94 - t95 - t96 - t97 - t100;
387: t105 = Rm - kn;
388: t106 = PetscCosReal(t105);
389: t108 = t72 - t80 + t83 + t76 + t84 - t81 - t74 + t78 - t77;
390: t110 = -t97 - t96 - t88 + t100 + t90 - t95 + t93 - t91 - t94;
391: t114 = Rm + kn;
392: t115 = PetscCosReal(t114);
393: t121 = PetscSinReal(t105);
394: t127 = PetscSinReal(t114);
395: t132 = PetscExpReal(t20 - 0.3e1 * Rp - B);
396: t135 = 0.2e1 * B * kn;
397: t136 = t135 + t14 - t25;
398: t142 = -t135 + t14 - t25;
399: t152 = t2 * t10 * BB;
400: t162 = PetscExpReal(t20 - Rp - B);
401: 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;
403: t1 = Rm * Rm;
404: t2 = B - Rp;
405: t4 = Rp + B;
406: t6 = VV * x;
407: t7 = PetscExpReal(-t6);
408: t11 = kn * kn;
409: t13 = B * t1;
410: t14 = Rp * Rp;
411: t15 = B * t14;
412: t16 = B * B;
413: t17 = t16 * Rp;
414: t21 = Rp * t1;
415: t30 = 0.8e1 * t16 * BB * kn * Rp;
416: t32 = 0.2e1 * Rm;
417: t33 = PetscCosReal(t32);
418: t35 = Rp * Rm;
419: t47 = PetscSinReal(t32);
420: t61 = PetscExpReal(-t6 - 0.2e1 * Rp);
421: t63 = Rm * t2;
422: t65 = 0.2e1 * B * kn;
423: t66 = B * Rm;
424: t67 = t65 + t66 + t35;
425: t71 = 0.3e1 * t16;
426: t73 = 0.2e1 * B * Rp;
427: t74 = t71 - t73 + t1 - t11 - t14;
428: t76 = t63 * t74 * BB;
429: t78 = Rm - kn;
430: t79 = PetscCosReal(t78);
431: t81 = -t65 + t66 + t35;
432: t86 = Rm + kn;
433: t87 = PetscCosReal(t86);
434: t90 = t63 * t74 * AA;
435: t95 = PetscSinReal(t78);
436: t101 = PetscSinReal(t86);
437: t106 = PetscExpReal(-t6 - 0.3e1 * Rp - B);
438: t108 = Rm * t4;
439: t109 = t65 + t66 - t35;
440: t113 = t71 + t73 + t1 - t11 - t14;
441: t115 = t108 * t113 * BB;
442: t118 = -t65 + t66 - t35;
443: t125 = t108 * t113 * AA;
444: t138 = PetscExpReal(-t6 - Rp - B);
445: 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;
447: t1 = B - Rp;
448: t2 = Rm * t1;
449: t3 = B * B;
450: t4 = 0.3e1 * t3;
451: t5 = B * Rp;
452: t7 = Rm * Rm;
453: t8 = kn * kn;
454: t9 = Rp * Rp;
455: t10 = t4 - 0.2e1 * t5 + t7 - t8 - t9;
456: t12 = t2 * t10 * AA;
457: t14 = B * Rm;
458: t20 = VV * x;
459: t21 = PetscExpReal(-t20);
460: t23 = Rp * Rm;
461: t30 = Rm * kn;
462: t35 = 0.2e1 * Rm;
463: t36 = PetscCosReal(t35);
464: t40 = B * t9;
465: t41 = t3 * Rp;
466: t43 = t3 * B;
467: t51 = t3 * BB;
468: t56 = PetscSinReal(t35);
469: t67 = PetscExpReal(-t20 - 0.2e1 * Rp);
470: t70 = 0.2e1 * B * kn;
471: t71 = t70 + t14 + t23;
472: t76 = Rm - kn;
473: t77 = PetscCosReal(t76);
474: t79 = -t70 + t14 + t23;
475: t84 = Rm + kn;
476: t85 = PetscCosReal(t84);
477: t91 = t2 * t10 * BB;
478: t93 = PetscSinReal(t76);
479: t99 = PetscSinReal(t84);
480: t104 = PetscExpReal(-t20 - 0.3e1 * Rp - B);
481: t107 = 0.3e1 * t43 * Rm;
482: t108 = t9 * Rp;
483: t109 = t108 * Rm;
484: t110 = t7 * Rm;
485: t111 = B * t110;
486: t112 = t14 * t8;
487: t113 = Rp * t110;
488: t115 = 0.8e1 * t41 * kn;
489: t116 = t23 * t8;
490: t118 = 0.5e1 * t41 * Rm;
491: t119 = t40 * Rm;
492: t120 = t107 + t109 + t111 - t112 - t113 - t115 + t116 - t118 + t119;
493: t124 = 0.2e1 * t3 * Rm * kn;
494: t125 = t5 * t8;
495: t126 = B * t108;
496: t127 = t7 * t9;
497: t129 = 0.2e1 * t9 * t3;
498: t130 = t5 * t7;
499: t132 = 0.3e1 * t43 * Rp;
500: t133 = t7 * t3;
501: t135 = 0.2e1 * t5 * t30;
502: t136 = t124 - t125 - t126 + t127 + t129 - t130 + t132 + t133 - t135;
503: t141 = t107 + t115 - t118 + t111 + t119 + t116 + t109 - t113 - t112;
504: t143 = t132 + t129 - t125 + t133 + t127 - t124 - t130 - t126 + t135;
505: t160 = PetscExpReal(-t20 - Rp - B);
506: 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;
508: t1 = Rm * Rm;
509: t2 = Rp * Rp;
510: t3 = t1 * t2;
511: t4 = B * B;
512: t5 = t1 * t4;
513: t9 = PetscExpReal(-0.4e1 * Rp);
514: t15 = PetscCosReal(0.2e1 * Rm);
515: t22 = PetscExpReal(-0.2e1 * Rp);
516: 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;
518: _PC1=num1/den1; _PC2=num2/den1; _PC3=num3/den1; _PC4=num4/den1;
520: t1 = Rm * x;
521: t2 = PetscCosReal(t1);
522: t4 = PetscSinReal(t1);
523: t10 = PetscExpReal(-0.2e1 * x * B);
524: t12 = kn * x;
525: t13 = PetscCosReal(t12);
526: t16 = PetscSinReal(t12);
527: u1 = -km * (_PC1 * t2 + _PC2 * t4 + _PC3 * t2 + _PC4 * t4 + t10 * AA * t13 + t10 * BB * t16);
529: t2 = Rm * x;
530: t3 = PetscCosReal(t2);
531: t6 = PetscSinReal(t2);
532: t22 = PetscExpReal(-0.2e1 * x * B);
533: t23 = B * t22;
534: t24 = kn * x;
535: t25 = PetscCosReal(t24);
536: t29 = PetscSinReal(t24);
537: 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;
539: t3 = PetscExpReal(0.2e1 * x * B);
540: t4 = t3 * B;
541: t8 = km * km;
542: t9 = t3 * t8;
543: t11 = 0.3e1 * t9 * Rm;
544: t12 = Rm * Rm;
545: t14 = t3 * t12 * Rm;
546: t15 = UU * UU;
547: t19 = 0.4e1 * t4 * UU * Rm - t11 - t14 + 0.3e1 * t3 * t15 * Rm;
548: t20 = Rm * x;
549: t21 = PetscSinReal(t20);
550: t27 = 0.2e1 * B * t9;
551: t33 = 0.2e1 * t4 * t12;
552: t36 = 0.3e1 * t3 * UU * t12 - t27 - 0.2e1 * t4 * t15 + 0.3e1 * t9 * UU + t33 - t3 * t15 * UU;
553: t37 = PetscCosReal(t20);
554: t49 = VV * VV;
555: t53 = -0.4e1 * t4 * VV * Rm - t11 + 0.3e1 * t3 * t49 * Rm - t14;
556: t64 = t3 * t49 * VV + t33 - 0.3e1 * t9 * VV - 0.2e1 * t4 * t49 - t27 - 0.3e1 * t3 * VV * t12;
557: t76 = B * t8;
558: t80 = kn * kn;
559: t83 = B * B;
560: t87 = t80 * kn;
561: t90 = kn * x;
562: t91 = PetscSinReal(t90);
563: t106 = PetscCosReal(t90);
564: 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;
566: t3 = PetscExpReal(0.2e1 * x * B);
567: t4 = km * km;
568: t5 = t3 * t4;
569: t6 = Rm * x;
570: t7 = PetscCosReal(t6);
571: t8 = _PC1 * t7;
572: t10 = PetscSinReal(t6);
573: t11 = _PC2 * t10;
574: t13 = _PC3 * t7;
575: t15 = _PC4 * t10;
576: t18 = kn * x;
577: t19 = PetscCosReal(t18);
578: t22 = PetscSinReal(t18);
579: t24 = UU * UU;
580: t25 = t3 * t24;
581: t28 = t3 * UU;
582: t38 = Rm * Rm;
583: t39 = t7 * t38;
584: t42 = t10 * t38;
585: 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;
586: t45 = VV * VV;
587: t46 = t3 * t45;
588: t49 = t3 * VV;
589: t62 = B * B;
590: t78 = kn * kn;
591: 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;
592: u4 = t44 + t82;
594: t3 = PetscExpReal(0.2e1 * x * B);
595: t4 = t3 * B;
596: t8 = km * km;
597: t9 = t3 * t8;
598: t10 = t9 * Rm;
599: t11 = Rm * Rm;
600: t13 = t3 * t11 * Rm;
601: t14 = UU * UU;
602: t18 = 0.4e1 * t4 * UU * Rm - t10 - t13 + 0.3e1 * t3 * t14 * Rm;
603: t19 = Rm * x;
604: t20 = PetscSinReal(t19);
605: t26 = 0.2e1 * B * t9;
606: t31 = 0.2e1 * t4 * t11;
607: t34 = 0.3e1 * t3 * UU * t11 - t26 - 0.2e1 * t4 * t14 + t9 * UU + t31 - t3 * t14 * UU;
608: t35 = PetscCosReal(t19);
609: t47 = VV * VV;
610: t51 = -0.4e1 * t4 * VV * Rm - t10 + 0.3e1 * t3 * t47 * Rm - t13;
611: t61 = t3 * t47 * VV + t31 - t9 * VV - 0.2e1 * t4 * t47 - t26 - 0.3e1 * t3 * VV * t11;
612: t72 = B * t8;
613: t76 = kn * kn;
614: t79 = B * B;
615: t83 = t76 * kn;
616: t86 = kn * x;
617: t87 = PetscSinReal(t86);
618: t101 = PetscCosReal(t86);
619: 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;
621: t3 = PetscExpReal(0.2e1 * x * B);
622: t4 = UU * UU;
623: t8 = km * km;
624: t9 = t3 * t8;
625: t10 = t9 * Rm;
626: t11 = Rm * Rm;
627: t13 = t3 * t11 * Rm;
628: t14 = t3 * B;
629: t18 = 0.3e1 * t3 * t4 * Rm + t10 - t13 + 0.4e1 * t14 * UU * Rm;
630: t19 = Rm * x;
631: t20 = PetscSinReal(t19);
632: t28 = 0.2e1 * B * t9;
633: t33 = 0.2e1 * t14 * t11;
634: t34 = -0.2e1 * t4 * t14 + 0.3e1 * t3 * UU * t11 - t28 - t3 * t4 * UU - t9 * UU + t33;
635: t35 = PetscCosReal(t19);
636: t47 = VV * VV;
637: t51 = -0.4e1 * t14 * VV * Rm - t13 + t10 + 0.3e1 * t3 * t47 * Rm;
638: t61 = -0.3e1 * t3 * VV * t11 + t33 + t3 * t47 * VV + t9 * VV - 0.2e1 * t14 * t47 - t28;
639: t71 = kn * kn;
640: t74 = B * B;
641: t80 = t71 * kn;
642: t83 = kn * x;
643: t84 = PetscSinReal(t83);
644: t96 = PetscCosReal(t83);
645: 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;
647: /*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)));*/
649: /* u1 = Vx, u2 = Vz, u3 = txx, u4 = tzx, u5 = pressure, u6 = tzz */
651: sum5 += u5*PetscCosReal(km*z); /* pressure */
652: sum6 += u6*PetscCosReal(km*z); /* zz total stress */
654: u1 *= PetscCosReal(km*z); /* x velocity */
655: sum1 += u1;
656: u2 *= PetscSinReal(km*z); /* z velocity */
657: sum2 += u2;
659: u3 *= PetscCosReal(km*z); /* xx total stress */
660: sum3 += u3;
661: u4 *= PetscSinReal(km*z); /* zx stress */
662: sum4 += u4;
664: /* rho = -sigma*sin(km*z)*cos(kn*x); */ /* density */
665: /* sum7 += rho; */
667: /* Output */
668: if (mu) {
669: *mu = Z;
670: }
671: if (vel) {
672: vel[0] = sum1;
673: vel[1] = sum2;
674: }
675: if (p) {
676: (*p) = sum5;
677: }
678: if (s) {
679: s[0] = sum3;
680: s[1] = sum4;
681: s[2] = sum6;
682: }
683: if (gamma) {
684: /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
685: gamma[0] = (sum3+sum5)/(2.0*Z);
686: gamma[1] = (sum4)/(2.0*Z);
687: gamma[2] = (sum6+sum5)/(2.0*Z);
688: }
689: return(0);
690: }
692: static PetscErrorCode SolKxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
693: {
694: Parameter *s = (Parameter *) ctx;
698: SolKxSolution(x, s->m, s->n, s->B, v, NULL, NULL, NULL, NULL);
699: return(0);
700: }
702: static PetscErrorCode SolKxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
703: {
704: Parameter *s = (Parameter *) ctx;
708: SolKxSolution(x, s->m, s->n, s->B, NULL, p, NULL, NULL, NULL);
709: return(0);
710: }
712: /*
713: SolCxSolution - Exact Stokes solutions for discontinuous viscosity
715: Input Parameters:
716: + pos - The (x,z) coordinate at which to evaluate the solution
717: . n - The constant defining the x-dependence of the forcing function
718: . m - The constant defining the z-dependence of the forcing function
719: . xc - The x coordinate at which the viscosity is discontinuous
720: . etaA - The viscosity coefficient for x < xc
721: - etaB - The viscosity coefficient for x > xc
723: Output Parameters:
724: + vel - The (x,z)-velocity at (x,z), or NULL
725: . p - The pressure at (x,z), or NULL
726: . s - The total stress (sigma_xx, sigma_xz, sigma_zz) at (x,z), or NULL
727: . gamma - The strain rate, or NULL
728: - mu - The viscosity at (x,z), or NULL
730: Note:
731: $ The domain is the square 0 <= x,z <= 1. We solve the Stokes equation for incompressible flow with free-slip boundary
732: $ conditions everywhere. The forcing term f is given by
733: $
734: $ fx = 0
735: $ fz = sigma*sin(km*z)*cos(kn*x)
736: $
737: $ where
738: $
739: $ km = m*Pi (m may be non-integral)
740: $ kn = n*Pi
741: $
742: $ meaning that the density rho is -sigma*sin(km*z)*cos(kn*x). Here we set sigma = 1.
743: $ The viscosity eta jumps from etaA to etaB at x = xc.
744: */
745: static PetscErrorCode SolCxSolution(const PetscReal pos[], PetscReal m, PetscInt n, PetscReal xc, PetscReal etaA, PetscReal etaB,
746: PetscScalar vel[], PetscScalar *p, PetscScalar s[], PetscScalar gamma[], PetscScalar *mu)
747: {
748: PetscReal _PC1A,_PC2A,_PC3A,_PC4A,_PC1B,_PC2B,_PC3B,_PC4B,_PC1,_PC2,_PC3,_PC4;
749: 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;
750: 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;
751: 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;
752: 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;
753: 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;
754: 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;
755: 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;
756: 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;
757: 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;
758: 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;
759: 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;
760: 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;
761: 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;
762: 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;
763: PetscReal t561,t562,t563,t564,t567,t568,t571,t573,t575,t576,t578,t579,t583,t590,t591,t594,t595,t596,t597,t598,t600;
764: 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;
765: 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;
766: 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;
767: 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;
768: 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;
769: PetscReal t801,t806,t807,t808,t809,t811,t812,t817,t818,t819,t821,t822,t824,t827,t828,t830,t834,t835,t837,t840;
770: 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;
771: PetscReal t884,t888,t891,t894,t900,t901,t903,t904,t907,t908,t909,t911,t914,t915,t916,t919,t920;
772: 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;
773: PetscReal t961,t964,t965,t966,t967,t968,t969,t971,t972,t974,t977,t978,t981,t983,t987,t988,t992,t993,t994,t997,t998;
774: PetscReal t1001,t1003,t1005,t1006,t1009,t1010,t1012,t1013,t1015,t1016,t1017,t1018,t1020,t1021,t1029,t1031,t1032,t1033,t1040;
775: PetscReal t1041,t1042,t1044,t1047,t1050,t1054,t1055,t1057,t1058,t1063,t1068,t1069,t1070,t1079,t1080;
776: PetscReal t1088,t1089,t1091,t1092,t1094,t1096,t1101,t1102,t1103,t1104,t1105,t1108,t1112,t1113,t1118,t1119,t1120;
777: 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;
778: PetscReal t1161,t1162,t1165,t1166,t1170,t1171,t1172,t1173,t1175,t1176,t1178,t1180,t1181,t1182,t1185,t1189,t1192,t1193,t1195,t1196,t1199;
779: PetscReal t1201,t1203,t1209,t1210,t1211,t1213,t1214,t1218,t1221,t1224,t1225,t1226,t1228,t1233,t1234,t1235,t1236,t1237,t1240;
780: PetscReal t1241,t1242,t1243,t1244,t1245,t1248,t1251,t1252,t1257,t1258,t1259,t1260,t1263,t1268,t1269,t1272,t1280;
781: PetscReal t1282,t1283,t1284,t1285,t1287,t1288,t1289,t1292,t1293,t1296,t1297,t1300,t1304,t1307,t1310,t1311,t1312,t1316,t1317,t1320;
782: PetscReal t1321,t1323,t1328,t1330,t1331,t1332,t1333,t1336,t1338,t1343,t1344,t1346,t1349,t1350,t1354;
783: PetscReal t1366,t1369,t1370,t1371,t1376,t1378,t1380,t1383,t1386,t1387,t1388,t1391,t1393,t1399;
784: PetscReal t1411,t1412,t1420,t1427;
785: PetscReal t1450,t1456,t1468,t1472,t1474,t1478;
786: PetscReal t1504,t1511;
787: PetscReal t1545;
788: PetscReal t1564,t1583;
790: PetscReal sum1 = 0.0, sum2 = 0.0, sum3 = 0.0, sum4 = 0.0, sum5 = 0.0, sum6 = 0.0;
791: PetscReal ZA = etaA, ZB = etaB;
792: PetscInt nz = m, nx = n;
793: PetscReal u1, u2, u3, u4, u5, u6, Z, x = pos[0], z = pos[1];
796: /* Note that there is no Fourier sum here. */
797: /****************************************************************************************/
798: _PC1A = 0;
799: /****************************************************************************************/
800: t1 = nx * 0.3141592654e1;
801: t2 = PetscSinReal(t1);
802: t3 = nx * t2;
803: t4 = nz * nz;
804: t5 = t4 * t4;
805: t6 = 0.3141592654e1 * 0.3141592654e1;
806: t8 = t3 * t5 * t6;
807: t9 = ZA * xc;
808: t12 = PetscExpReal(xc * nz * 0.3141592654e1);
809: t13 = t12 * t12;
810: t15 = nz * 0.3141592654e1;
811: t16 = PetscExpReal(t15);
812: t17 = t16 * t16;
813: t18 = t17 * t16;
814: t19 = ZB * t13 * t18;
815: t20 = t9 * t19;
816: t23 = ZA * ZA;
817: t24 = nx * nx;
818: t25 = t24 * nx;
819: t26 = t23 * t25;
820: t28 = t13 * t13;
821: t29 = t28 * t13;
822: t33 = nx * ZB;
823: t34 = t1 * xc;
824: t35 = PetscSinReal(t34);
825: t36 = t4 * nz;
826: t37 = t35 * t36;
827: t38 = t33 * t37;
828: t39 = 0.3141592654e1 * ZA;
829: t40 = t13 * t12;
830: t41 = t17 * t40;
831: t45 = ZB * ZB;
832: t46 = t45 * t24;
833: t47 = t46 * t4;
834: t48 = 0.3141592654e1 * xc;
835: t49 = t13 * t17;
836: t53 = xc * xc;
837: t54 = t36 * t53;
838: t56 = t54 * t6 * t45;
839: t57 = PetscCosReal(t34);
840: t58 = t57 * t24;
841: t59 = t28 * t12;
842: t60 = t17 * t59;
843: t61 = t58 * t60;
844: t64 = t25 * t2;
845: t65 = t64 * t15;
846: t72 = nx * t23;
847: t74 = t72 * t2 * t5;
848: t75 = t6 * t53;
849: t76 = t16 * t29;
850: t80 = t23 * nz;
851: t81 = t80 * 0.3141592654e1;
852: t82 = t18 * t28;
853: t86 = nx * t5;
854: t87 = t23 * t6;
855: t89 = xc * t2;
856: t90 = t13 * t18;
857: t91 = t89 * t90;
858: t94 = t28 * t28;
859: t96 = t24 * nz;
860: t98 = t4 * t45;
861: t99 = t98 * 0.3141592654e1;
862: t100 = t58 * t41;
863: t104 = 0.3141592654e1 * t25;
864: t105 = ZA * nz * t104;
865: t106 = t2 * ZB;
866: t110 = t17 * t17;
867: t111 = ZA * t110;
868: t116 = nz * t28;
869: t122 = t64 * t4 * t6;
870: t126 = t23 * t29 * t4;
871: t128 = t24 * xc;
872: t132 = t36 * t23;
873: t133 = t6 * t57;
874: t135 = t128 * t41;
875: t138 = t6 * xc;
876: t142 = t72 * t2;
877: 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;
878: t149 = ZA * t25 * t2;
879: t150 = ZB * t28;
880: t154 = t35 * t5;
881: t155 = t72 * t154;
882: t156 = t75 * t41;
883: t159 = nx * ZA;
884: t160 = t2 * t36;
885: t161 = t159 * t160;
886: t162 = 0.3141592654e1 * ZB;
887: t163 = t28 * t16;
888: t167 = t23 * t57;
889: t168 = t167 * t24;
890: t169 = nz * t110;
891: t170 = t169 * t40;
892: t173 = ZA * ZB;
893: t174 = t173 * t90;
894: t177 = t36 * 0.3141592654e1;
895: t181 = t80 * t104;
896: t184 = nz * t17;
897: t188 = t17 * t29;
898: t190 = t4 * 0.3141592654e1;
899: t191 = t190 * t24;
900: t206 = t138 * t60;
901: t209 = t23 * t4;
902: t211 = t209 * t6 * t25;
903: t212 = t89 * t76;
904: t216 = ZB * t16 * t29;
905: t217 = t9 * t216;
906: t220 = ZB * t110;
907: t221 = ZA * t24;
908: t222 = t221 * nz;
909: t225 = t132 * t75;
910: t232 = t45 * t28;
911: t233 = t110 * t24;
912: t234 = t233 * nz;
913: t236 = t209 * 0.3141592654e1;
914: t237 = t17 * xc;
915: t239 = t237 * t13 * t24;
916: 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;
917: t244 = nx * t45;
918: t245 = t244 * t37;
919: t246 = t110 * t40;
920: t251 = t237 * t59;
921: t256 = t64 * t90;
922: t260 = t36 * t45 * t133;
923: t263 = t45 * t57;
924: t264 = t263 * t24;
925: t265 = t169 * t12;
926: t269 = t6 * t36;
927: t270 = t17 * t24;
928: t274 = t110 * t13;
929: t276 = t190 * t128;
930: t279 = nx * t36;
931: t281 = t28 * t40;
932: t282 = t281 * t35;
933: t286 = t138 * t41;
934: t289 = t75 * t60;
935: t296 = t190 * t173;
936: t305 = t86 * t45 * t35;
937: t312 = t33 * t154;
938: t313 = t6 * ZA;
939: t324 = t232 * t270;
940: 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;
941: t328 = t3 * t4;
942: t331 = t72 * t37;
943: t332 = t48 * t60;
944: t335 = nz * t94;
945: t345 = t72 * t35;
946: t349 = t173 * t57;
947: t355 = t53 * t17;
948: t364 = t54 * t6 * ZB;
949: t365 = t28 * t17;
950: t369 = xc * ZB;
951: t370 = t269 * t369;
952: t371 = ZA * t57;
953: t373 = t371 * t270 * t40;
954: t385 = nx * t35;
955: t396 = t4 * xc;
956: t397 = t396 * t162;
957: t415 = t37 * t48;
958: 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;
959: t427 = t371 * t270 * t59;
960: t439 = t209 * t48;
961: t440 = t110 * t12;
962: t441 = t58 * t440;
963: t447 = t36 * xc;
964: t455 = t48 * t440;
965: t471 = ZB * t17;
966: 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;
967: t499 = ZA * t53 * t19;
968: t505 = t396 * 0.3141592654e1;
969: t518 = t173 * t53 * t16 * t29;
970: t533 = t23 * t28;
971: t535 = t188 * t45;
972: t538 = t24 * t4;
973: t545 = t3 * t177;
974: t546 = t173 * t76;
975: t555 = t45 * t110;
976: t557 = t72 * t160;
977: 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;
978: t567 = t396 * 0.3141592654e1 * t45;
979: t568 = t58 * t246;
980: t597 = t58 * nz;
981: t615 = t13 * t45;
982: t616 = t615 * t233;
983: t619 = t94 * t45;
984: t621 = t45 * t59;
985: 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;
986: t626 = t49 * t45;
987: t660 = t29 * t45;
988: 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;
989: t690 = t6 * 0.3141592654e1;
990: t691 = ZA * t690;
991: t693 = t24 * t24;
992: t694 = t693 * xc;
993: t695 = t188 * t694;
994: t698 = t23 * ZA;
995: t699 = t698 * t690;
996: t700 = t699 * t5;
997: t704 = t5 * t4;
998: t705 = t691 * t704;
999: t709 = t691 * t5;
1000: t713 = t5 * nz;
1001: t714 = t713 * ZB;
1002: t718 = t698 * t6;
1003: t719 = t713 * t28;
1004: t722 = t699 * t704;
1005: t726 = t713 * t94;
1006: t733 = t713 * t45;
1007: t736 = t87 * t36;
1008: 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;
1009: t746 = t313 * t36;
1010: t752 = t6 * t6;
1011: t753 = t23 * t752;
1012: t759 = t698 * t752;
1013: t760 = t759 * t36;
1014: t761 = t17 * t693;
1015: t762 = xc * t28;
1016: t763 = t761 * t762;
1017: t766 = t87 * t713;
1018: t773 = t699 * t4;
1019: t774 = t110 * t693;
1020: t775 = xc * t13;
1021: t785 = t704 * t17;
1022: 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;
1023: t791 = t691 * t4;
1024: t792 = t45 * t693;
1025: t793 = t49 * t792;
1026: t796 = t759 * t713;
1027: t797 = t53 * t28;
1028: t798 = t270 * t797;
1029: t801 = t87 * nz;
1030: t818 = t5 * t36;
1031: t819 = t753 * t818;
1032: t827 = t753 * t36 * ZB;
1033: t830 = xc * t45;
1034: 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;
1035: t842 = xc * t29;
1036: t843 = t270 * t842;
1037: t849 = t759 * t818;
1038: t853 = t691 * t396;
1039: t857 = t691 * t5 * t45;
1040: t869 = t313 * nz;
1041: 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;
1042: t877 = ZA * t752;
1043: t878 = t877 * t818;
1044: 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;
1045: t916 = t110 * t28;
1046: t945 = t28 * t693 * t45 * t17;
1047: 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;
1048: t974 = t761 * t797;
1049: 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;
1050: 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;
1052: _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);
1053: /****************************************************************************************/
1054: t1 = nz * nz;
1055: t2 = t1 * nz;
1056: t3 = t2 * 0.3141592654e1;
1057: t4 = t3 * xc;
1058: t5 = ZB * ZB;
1059: t7 = PetscExpReal(nz * 0.3141592654e1);
1060: t8 = t7 * t7;
1061: t9 = t5 * t8;
1062: t12 = PetscExpReal(xc * nz * 0.3141592654e1);
1063: t13 = t12 * t12;
1064: t14 = t13 * t13;
1065: t15 = t14 * t13;
1066: t19 = nx * nx;
1067: t21 = nx * 0.3141592654e1;
1068: t22 = PetscSinReal(t21);
1069: t23 = t19 * nx * t22;
1070: t24 = t23 * 0.3141592654e1;
1071: t25 = ZA * ZB;
1072: t26 = t7 * t15;
1073: t27 = t25 * t26;
1074: t30 = t21 * xc;
1075: t31 = PetscSinReal(t30);
1076: t32 = t31 * nx;
1077: t33 = t32 * nz;
1078: t34 = ZA * ZA;
1079: t35 = t8 * t8;
1080: t36 = t34 * t35;
1081: t40 = t2 * t34;
1082: t41 = 0.3141592654e1 * t8;
1083: t42 = t41 * t15;
1084: t45 = t1 * t5;
1085: t46 = t14 * t14;
1086: t49 = t19 * t5;
1087: t51 = t19 * t46;
1088: t53 = t19 * t34;
1089: t55 = t8 * t7;
1090: t56 = t13 * t55;
1091: t57 = t25 * t56;
1092: t60 = t2 * nx;
1093: t61 = 0.3141592654e1 * 0.3141592654e1;
1094: t63 = t60 * t31 * t61;
1095: t64 = xc * xc;
1096: t65 = ZA * t64;
1097: t66 = ZB * t8;
1098: t67 = t14 * t12;
1099: t68 = t66 * t67;
1100: t69 = t65 * t68;
1101: 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;
1102: t73 = t1 * nx;
1103: t75 = t73 * t31 * 0.3141592654e1;
1104: t76 = t8 * t67;
1105: t77 = t25 * t76;
1106: t80 = t1 * t1;
1107: t81 = t80 * t34;
1108: t83 = t61 * t14;
1109: t87 = t1 * t19;
1110: t88 = PetscCosReal(t30);
1111: t90 = t87 * t88 * t61;
1112: t91 = t5 * t64;
1113: t92 = t13 * t12;
1114: t93 = t8 * t92;
1115: t94 = t91 * t93;
1116: t100 = ZB * t64 * ZA * t8 * t92;
1117: t103 = nz * t19;
1118: t105 = t103 * t88 * 0.3141592654e1;
1119: t106 = ZA * xc;
1120: t107 = ZB * t35;
1121: t109 = t106 * t107 * t12;
1122: t112 = t34 * xc;
1123: t113 = t112 * t93;
1124: t116 = t35 * t14;
1125: t118 = t1 * ZA;
1126: t119 = ZB * t14;
1127: t122 = t1 * t46;
1128: t125 = t19 * ZB;
1129: t126 = t35 * ZA;
1130: t127 = t125 * t126;
1131: t129 = t1 * ZB;
1132: 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;
1133: t134 = t1 * t34;
1134: t136 = t34 * t64;
1135: t137 = t136 * t76;
1136: t141 = t91 * t76;
1137: t145 = t103 * t34;
1138: t146 = 0.3141592654e1 * xc;
1139: t147 = t8 * t13;
1140: t153 = t14 * ZA;
1141: t156 = xc * t5;
1142: t157 = t156 * t93;
1143: t160 = t103 * t5;
1144: t162 = t146 * t8 * t15;
1145: t166 = t34 * t7 * t15;
1146: 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;
1147: t170 = t106 * t68;
1148: t177 = t35 * t92;
1149: t178 = t112 * t177;
1150: t181 = t156 * t76;
1151: t186 = t35 * t12;
1152: t187 = t112 * t186;
1153: t193 = t5 * 0.3141592654e1;
1154: t206 = t34 * t14;
1155: t207 = t206 * t7;
1156: 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;
1157: t217 = t106 * t66 * t92;
1158: t226 = t88 * t19 * nz;
1159: t227 = 0.3141592654e1 * t34;
1160: t229 = t227 * xc * t67;
1161: t232 = t73 * t31;
1162: t234 = t146 * t5 * t67;
1163: t238 = t61 * ZB;
1164: t239 = t14 * t8;
1165: t240 = t238 * t239;
1166: t243 = t136 * t93;
1167: 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;
1168: t247 = t14 * t92;
1169: t249 = t227 * t247 * xc;
1170: t254 = t73 * t22;
1171: t259 = t60 * t22 * t61;
1172: t260 = t112 * t26;
1173: t264 = t146 * t247 * t5;
1174: t268 = xc * t14;
1175: t274 = t5 * t14;
1176: t275 = t274 * t8;
1177: t280 = nz * nx;
1178: t281 = t280 * t22;
1179: t282 = t55 * t14;
1180: t283 = t25 * t282;
1181: t290 = ZA * t247 * xc * ZB;
1182: t295 = t22 * nx * t1 * 0.3141592654e1;
1183: 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;
1184: t301 = t61 * t5;
1185: t307 = t87 * t34;
1186: t312 = t61 * xc;
1187: t313 = t312 * t239;
1188: t317 = t34 * t55 * t14;
1189: t329 = ZB * t13 * t55;
1190: t330 = t65 * t329;
1191: 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;
1192: t340 = t5 * t35;
1193: t344 = t25 * t93;
1194: t356 = t41 * t13;
1195: t360 = t23 * nz * t61;
1196: t363 = t25 * t64 * t7 * t15;
1197: t366 = t156 * t177;
1198: t369 = t14 * t7;
1199: t370 = t25 * t369;
1200: t373 = t156 * t186;
1201: 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;
1202: t382 = t112 * t76;
1203: t387 = t80 * t61;
1204: t391 = t136 * t26;
1205: 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;
1206: t423 = t153 * t8;
1207: t426 = t34 * t13;
1208: t427 = t426 * t55;
1209: t430 = t34 * t8;
1210: t437 = t80 * ZA;
1211: 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;
1212: t453 = t106 * ZB * t7 * t15;
1213: t456 = t2 * t5;
1214: t459 = t112 * t56;
1215: t462 = t126 * t14;
1216: t474 = t40 * 0.3141592654e1;
1217: t475 = xc * t8;
1218: t480 = t146 * t13 * t35;
1219: 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;
1220: t497 = t136 * t56;
1221: t504 = t9 * t13;
1222: t509 = t475 * t13;
1223: 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;
1224: t528 = t5 * t13;
1225: t529 = t528 * t35;
1226: t532 = t106 * t329;
1227: 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;
1228: t557 = t146 * t15;
1229: t562 = xc * t15;
1230: t563 = t562 * t5;
1231: 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;
1232: 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;
1233: t623 = xc * t13;
1234: 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;
1235: t632 = t61 * 0.3141592654e1;
1236: t633 = t632 * t8;
1237: t634 = t80 * nz;
1238: t638 = t632 * t634;
1239: t639 = t638 * xc;
1240: t642 = t61 * t34;
1241: t643 = t122 * t19;
1242: t649 = t61 * t61;
1243: t650 = t649 * t1;
1244: t652 = t19 * t19;
1245: t653 = t14 * t652;
1246: t654 = t653 * t9;
1247: t657 = t14 * t1;
1248: t658 = t657 * t19;
1249: t665 = t632 * t34;
1250: t666 = t665 * t2;
1251: t667 = t8 * t19;
1252: t668 = t667 * t623;
1253: t674 = t665 * nz;
1254: t675 = t652 * xc;
1255: 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;
1256: t683 = t46 * t652;
1257: t686 = t633 * t15;
1258: t691 = t35 * t80;
1259: t698 = t35 * t652;
1260: t705 = t14 * t80;
1261: t708 = t61 * t35;
1262: 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;
1263: t727 = t61 * t46;
1264: t737 = t649 * t34;
1265: t738 = t737 * t1;
1266: t739 = t8 * t652;
1267: t740 = t739 * t268;
1268: t746 = t61 * ZA;
1269: t754 = t632 * nz * xc;
1270: 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;
1271: t762 = t633 * t13;
1272: t764 = t5 * nz * t652;
1273: t767 = t80 * t1;
1274: t768 = t649 * t767;
1275: t772 = t649 * ZA;
1276: t773 = t772 * t129;
1277: t777 = t35 * t1 * t19;
1278: t780 = t632 * t5;
1279: t781 = t780 * t15;
1280: t786 = t698 * ZA;
1281: t790 = t64 * t14;
1282: t800 = t649 * t8;
1283: 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;
1284: t812 = t649 * t80;
1285: t817 = t83 * ZB;
1286: t824 = t746 * ZB;
1287: t828 = t800 * t14;
1288: 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;
1289: t858 = t35 * t19;
1290: t873 = t2 * t8;
1291: t878 = t61 * t1;
1292: 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;
1293: t903 = t739 * t790;
1294: t923 = t737 * t80;
1295: t924 = t667 * t790;
1296: t927 = t780 * t2;
1297: t937 = t15 * t19 * xc;
1298: 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;
1299: 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;
1301: _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);
1302: /****************************************************************************************/
1303: _PC4A = 0;
1304: /****************************************************************************************/
1305: t1 = nx * 0.3141592654e1;
1306: t2 = t1 * xc;
1307: t3 = PetscCosReal(t2);
1308: t4 = nx * nx;
1309: t6 = nz * 0.3141592654e1;
1310: t7 = t3 * t4 * t6;
1311: t8 = ZA * ZB;
1312: t9 = PetscExpReal(t6);
1313: t10 = t9 * t9;
1314: t11 = xc * nz;
1315: t13 = PetscExpReal(t11 * 0.3141592654e1);
1316: t14 = t13 * t13;
1317: t15 = t14 * t13;
1318: t16 = t14 * t14;
1319: t17 = t16 * t15;
1320: t18 = t10 * t17;
1321: t19 = t8 * t18;
1322: t22 = PetscSinReal(t2);
1323: t23 = nx * t22;
1324: t24 = t23 * nz;
1325: t25 = ZB * ZB;
1326: t30 = nz * nz;
1327: t31 = t30 * nz;
1328: t32 = t31 * nx;
1329: t33 = 0.3141592654e1 * 0.3141592654e1;
1330: t35 = t32 * t22 * t33;
1331: t36 = ZA * ZA;
1332: t37 = t36 * xc;
1333: t38 = t16 * t13;
1334: t39 = t10 * t38;
1335: t40 = t37 * t39;
1336: t43 = PetscSinReal(t1);
1337: t44 = nx * t43;
1338: t45 = t30 * 0.3141592654e1;
1339: t46 = t44 * t45;
1340: t47 = ZA * xc;
1341: t49 = ZB * t16 * t9;
1342: t54 = t4 * nx * t43;
1343: t55 = xc * xc;
1344: t57 = t54 * t30 * t55;
1345: t58 = t33 * 0.3141592654e1;
1346: t59 = t58 * t25;
1347: t60 = t16 * t9;
1348: t61 = t59 * t60;
1349: t64 = xc * t25;
1350: t65 = t14 * t9;
1351: t66 = t64 * t65;
1352: t70 = t44 * t31 * t33;
1353: t71 = t37 * t65;
1354: t74 = t10 * t15;
1355: t75 = t64 * t74;
1356: t78 = t25 * t10;
1357: t83 = t54 * nz * t33;
1358: t84 = t55 * t25;
1359: t85 = t10 * t9;
1360: t86 = t14 * t85;
1361: t87 = t84 * t86;
1362: t90 = t30 * t30;
1363: t92 = t44 * t90 * t58;
1364: t93 = t55 * xc;
1365: t94 = t93 * t25;
1366: t95 = t85 * t16;
1367: t96 = t94 * t95;
1368: t102 = t23 * t45;
1369: t103 = t10 * t10;
1370: t104 = ZB * t103;
1371: t106 = t47 * t104 * t15;
1372: t111 = t54 * 0.3141592654e1;
1373: t112 = t25 * t85;
1374: t113 = t112 * t16;
1375: t115 = t8 * t39;
1376: t118 = t16 * t14;
1377: t119 = t85 * t118;
1378: t120 = t37 * t119;
1379: t123 = t16 * t16;
1380: t124 = t36 * t123;
1381: t125 = t124 * t9;
1382: 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;
1383: t128 = t37 * t74;
1384: t131 = t44 * nz;
1385: t133 = t25 * t9 * t118;
1386: t136 = t36 * t14;
1387: t137 = t136 * t9;
1388: t140 = t30 * t4;
1389: t142 = t140 * t3 * t33;
1390: t143 = t64 * t39;
1391: t147 = t30 * nx * t43;
1392: t148 = 0.3141592654e1 * t36;
1393: t149 = t9 * t118;
1394: t153 = t44 * t31 * ZA;
1395: t154 = t33 * xc;
1396: t155 = t154 * t49;
1397: t160 = ZA * t17 * xc * ZB;
1398: t163 = t103 * t13;
1399: t164 = t64 * t163;
1400: t170 = t44 * t90 * t55;
1401: t171 = t58 * ZB;
1402: t172 = ZA * t16;
1403: t174 = t171 * t172 * t9;
1404: t177 = t36 * t55;
1405: t178 = t177 * t149;
1406: t181 = t54 * t11;
1407: t182 = t33 * t25;
1408: t186 = t25 * t14;
1409: t187 = t186 * t9;
1410: t193 = t186 * t85;
1411: t198 = ZB * t55;
1412: t199 = ZA * t103;
1413: t201 = t198 * t199 * t15;
1414: 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;
1415: t210 = t32 * t22;
1416: t211 = t33 * t55;
1417: t212 = t25 * t38;
1418: t213 = t211 * t212;
1419: t216 = nz * nx;
1420: t217 = t22 * t25;
1421: t222 = ZB * t85 * t16;
1422: t226 = t23 * t30;
1423: t227 = t13 * t10;
1424: t228 = t148 * t227;
1425: t233 = t37 * t163;
1426: t237 = nz * t4 * t3;
1427: t238 = t148 * t74;
1428: t241 = t64 * t86;
1429: t245 = t148 * xc * t15;
1430: t248 = t112 * t118;
1431: t250 = t22 * t36;
1432: t256 = 0.3141592654e1 * t25;
1433: t257 = t256 * t39;
1434: t262 = t38 * t103;
1435: t263 = t37 * t262;
1436: t267 = t148 * t17 * xc;
1437: 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;
1438: t273 = t37 * t149;
1439: t277 = t47 * t104 * t13;
1440: t285 = t31 * t36;
1441: t286 = t44 * t285;
1442: t291 = t25 * t123 * t9;
1443: t304 = 0.3141592654e1 * xc;
1444: t305 = t304 * t212;
1445: t312 = t256 * t18;
1446: t315 = t8 * t60;
1447: t319 = t54 * t30 * t58;
1448: t323 = t90 * t36;
1449: t324 = t44 * t323;
1450: t325 = t55 * t58;
1451: t326 = t325 * t60;
1452: 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;
1453: t332 = t8 * t95;
1454: t335 = t136 * t85;
1455: t337 = t256 * t227;
1456: t340 = t177 * t119;
1457: t346 = t37 * t86;
1458: t351 = t103 * t15;
1459: t352 = t177 * t351;
1460: t355 = t64 * t119;
1461: t358 = t8 * t227;
1462: t361 = t85 * 0.3141592654e1;
1463: t365 = t84 * t39;
1464: t372 = ZB * t10;
1465: t373 = t372 * t38;
1466: t374 = t47 * t373;
1467: t379 = t177 * t39;
1468: 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;
1469: t386 = t54 * t30 * t93;
1470: t387 = ZA * t85;
1471: t389 = t171 * t387 * t16;
1472: t394 = t64 * t60;
1473: t398 = t304 * t25 * t15;
1474: t401 = t361 * t25;
1475: t405 = t84 * t65;
1476: t410 = t148 * t18;
1477: t414 = t25 * t16 * t9;
1478: t417 = t84 * t74;
1479: t422 = t177 * t86;
1480: t428 = ZB * t38;
1481: t429 = t47 * t428;
1482: t432 = t148 * t39;
1483: 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;
1484: t442 = t36 * t9 * t118;
1485: t444 = t123 * t9;
1486: t445 = t8 * t444;
1487: t448 = t361 * t36;
1488: t451 = t47 * t372 * t17;
1489: t454 = t94 * t60;
1490: t457 = t25 * t103;
1491: t465 = t47 * t372 * t15;
1492: t468 = t36 * t85;
1493: t469 = t468 * t16;
1494: t474 = t43 * t85;
1495: t478 = t8 * t74;
1496: t484 = t256 * t74;
1497: t489 = t198 * ZA * t10 * t15;
1498: 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;
1499: t504 = t33 * t36 * t55 * t38;
1500: t507 = t37 * t18;
1501: t512 = t47 * ZB * t13 * t10;
1502: t518 = t59 * t95;
1503: t530 = t84 * t351;
1504: t534 = t37 * t227;
1505: 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;
1506: t557 = t468 * t118;
1507: t562 = t93 * t58;
1508: t563 = t562 * t60;
1509: t567 = t44 * t90 * t93;
1510: t575 = ZA * t55;
1511: t576 = t575 * t428;
1512: t583 = t37 * t60;
1513: t590 = t140 * t3;
1514: 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;
1515: t604 = nz * t36;
1516: t606 = t154 * t95;
1517: t625 = t36 * t103;
1518: t640 = t30 * t36;
1519: t641 = t54 * t640;
1520: t642 = t325 * t95;
1521: 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;
1522: t652 = t36 * t16;
1523: t653 = t652 * t9;
1524: t655 = t64 * t227;
1525: t658 = t182 * t95;
1526: t663 = t562 * t95;
1527: t684 = t64 * t351;
1528: t689 = t36 * t10;
1529: t695 = t154 * t222;
1530: 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;
1531: t711 = t575 * t373;
1532: t717 = t304 * t17 * t25;
1533: t736 = t177 * t74;
1534: 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;
1535: t750 = t64 * t262;
1536: t763 = t44 * t640;
1537: t770 = t84 * t119;
1538: 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;
1539: t797 = t64 * t149;
1540: 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;
1541: t827 = t84 * t149;
1542: t846 = t54 * nz * ZA;
1543: t854 = t64 * t18;
1544: 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;
1545: 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;
1546: t914 = t25 * ZB;
1547: t915 = t33 * t914;
1548: t919 = t4 * t4;
1549: t920 = t16 * t919;
1550: t929 = t123 * t90;
1551: t932 = t919 * t103;
1552: t935 = t33 * ZB;
1553: t939 = t652 * t919;
1554: t942 = t16 * t30;
1555: t943 = t942 * t4;
1556: t949 = t103 * t16;
1557: t950 = t949 * t90;
1558: 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;
1559: t954 = t171 * t36;
1560: t955 = t90 * nz;
1561: t956 = xc * t955;
1562: t957 = t118 * t10;
1563: t964 = t33 * t33;
1564: t965 = t964 * ZB;
1565: t966 = t965 * t640;
1566: t967 = t10 * t919;
1567: t968 = t55 * t16;
1568: t969 = t967 * t968;
1569: t972 = t935 * t36;
1570: t974 = t103 * t30 * t4;
1571: t977 = xc * t16;
1572: t978 = t967 * t977;
1573: t981 = t90 * t30;
1574: t983 = t16 * t10;
1575: t987 = t182 * ZA;
1576: t988 = t4 * t10;
1577: t992 = t171 * t604;
1578: t993 = xc * t14;
1579: t994 = t932 * t993;
1580: t997 = t182 * t30;
1581: t1005 = t171 * t285;
1582: t1006 = t988 * t993;
1583: t1009 = t58 * t914;
1584: t1010 = t1009 * t31;
1585: 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;
1586: t1015 = t964 * t25;
1587: t1016 = ZA * t30;
1588: t1017 = t1015 * t1016;
1589: t1020 = t967 * t993;
1590: t1031 = t1009 * t118;
1591: t1032 = t31 * t10;
1592: t1040 = t964 * t914;
1593: t1041 = t1040 * t90;
1594: t1044 = t55 * t10 * t4 * t16;
1595: t1047 = t1040 * t30;
1596: t1050 = t123 * ZA;
1597: t1054 = t977 * t988;
1598: 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;
1599: t1058 = t1009 * nz;
1600: t1063 = t932 * ZA;
1601: t1069 = t123 * t30 * t4;
1602: t1080 = t993 * t103 * t4;
1603: t1088 = t935 * t103;
1604: 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;
1605: t1113 = t955 * t118 * xc;
1606: t1120 = t4 * t118;
1607: t1125 = t981 * xc;
1608: t1133 = nz * t10;
1609: 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;
1610: t1153 = xc * t118;
1611: t1165 = t182 * t16;
1612: t1170 = t171 * t10;
1613: t1178 = ZA * t90;
1614: 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;
1615: t1195 = t1040 * t981;
1616: t1199 = t1009 * t955;
1617: t1203 = t1009 * t10;
1618: t1211 = t965 * t323;
1619: 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;
1620: 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;
1622: _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);
1623: /****************************************************************************************/
1624: t1 = nz * nz;
1625: t2 = t1 * nz;
1626: t3 = nx * t2;
1627: t4 = 0.3141592654e1 * ZA;
1628: t5 = t3 * t4;
1629: t6 = nx * 0.3141592654e1;
1630: t7 = t6 * xc;
1631: t8 = PetscSinReal(t7);
1632: t9 = t8 * ZB;
1633: t10 = nz * 0.3141592654e1;
1634: t11 = PetscExpReal(t10);
1635: t12 = t11 * t11;
1636: t15 = PetscExpReal(xc * nz * 0.3141592654e1);
1637: t16 = t15 * t15;
1638: t17 = t16 * t16;
1639: t18 = t17 * t15;
1640: t19 = t12 * t18;
1641: t23 = t1 * t1;
1642: t24 = nx * t23;
1643: t25 = ZB * ZB;
1644: t27 = t18 * t8;
1645: t28 = 0.3141592654e1 * 0.3141592654e1;
1646: t29 = xc * xc;
1647: t30 = t28 * t29;
1648: t34 = t1 * xc;
1649: t35 = 0.3141592654e1 * ZB;
1650: t36 = t34 * t35;
1651: t37 = PetscCosReal(t7);
1652: t38 = ZA * t37;
1653: t39 = nx * nx;
1654: t40 = t39 * t12;
1655: t41 = t16 * t15;
1656: t43 = t38 * t40 * t41;
1657: t46 = t25 * nz;
1658: t47 = t46 * 0.3141592654e1;
1659: t48 = t39 * nx;
1660: t49 = PetscSinReal(t6);
1661: t50 = t48 * t49;
1662: t51 = t12 * t11;
1663: t52 = t51 * t17;
1664: t53 = t50 * t52;
1665: t56 = t34 * 0.3141592654e1 * t25;
1666: t57 = t37 * t39;
1667: t58 = t17 * t41;
1668: t59 = t12 * t58;
1669: t60 = t57 * t59;
1670: t63 = t25 * t18;
1671: t64 = t57 * nz;
1672: t67 = ZA * ZA;
1673: t68 = t67 * nz;
1674: t69 = 0.3141592654e1 * t48;
1675: t70 = t68 * t69;
1676: t71 = t49 * xc;
1677: t72 = t17 * t16;
1678: t73 = t11 * t72;
1679: t74 = t71 * t73;
1680: t77 = t1 * t67;
1681: t78 = t77 * 0.3141592654e1;
1682: t81 = nx * t25;
1683: t82 = t81 * t49;
1684: t83 = t17 * t17;
1685: t85 = t1 * t83 * t11;
1686: t87 = nx * ZB;
1687: t88 = t8 * t2;
1688: t89 = t87 * t88;
1689: t90 = 0.3141592654e1 * xc;
1690: t91 = t12 * t12;
1691: t92 = ZA * t91;
1692: t97 = ZB * ZA;
1693: t98 = t97 * t37;
1694: t99 = t39 * nz;
1695: t100 = t12 * t41;
1696: 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;
1697: t105 = t67 * t48;
1698: t106 = t49 * t51;
1699: t107 = t106 * t72;
1700: t109 = t1 * 0.3141592654e1;
1701: t110 = t109 * xc;
1702: t115 = nx * t67;
1703: t116 = t115 * t49;
1704: t117 = t1 * t16;
1705: t118 = t117 * t11;
1706: t120 = t2 * t25;
1707: t121 = t28 * 0.3141592654e1;
1708: t122 = t121 * t29;
1709: t123 = t120 * t122;
1710: t129 = t1 * ZB;
1711: t130 = t129 * t4;
1712: t131 = t57 * t100;
1713: t134 = t12 * t16;
1714: t136 = t109 * t39;
1715: t139 = ZB * t18;
1716: t141 = t39 * t1;
1717: t142 = t141 * t90;
1718: t145 = t77 * t90;
1719: t146 = t91 * t41;
1720: t147 = t57 * t146;
1721: t151 = t25 * t39 * t1;
1722: t152 = t72 * t12;
1723: t156 = t49 * t2;
1724: t158 = t83 * t11;
1725: 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;
1726: t164 = t115 * t88;
1727: t165 = t90 * t19;
1728: t168 = t25 * t48;
1729: t169 = t49 * t16;
1730: t170 = t169 * t11;
1731: t174 = ZA * nz * t69;
1732: t175 = ZB * t51;
1733: t176 = t175 * t17;
1734: t177 = t71 * t176;
1735: t180 = t1 * t29;
1736: t181 = t28 * t25;
1737: t182 = t180 * t181;
1738: t183 = t50 * t73;
1739: t186 = ZA * t1;
1740: t187 = t28 * t48;
1741: t188 = t186 * t187;
1742: t189 = ZB * t17;
1743: t190 = t189 * t11;
1744: t191 = t71 * t190;
1745: t194 = t50 * t158;
1746: t196 = t115 * t156;
1747: t197 = t90 * t73;
1748: t201 = t49 * t17 * t11;
1749: t204 = t88 * t90;
1750: t207 = t68 * 0.3141592654e1;
1751: t208 = t17 * t11;
1752: t209 = t50 * t208;
1753: 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;
1754: t212 = t2 * 0.3141592654e1;
1755: t213 = t212 * t52;
1756: t215 = t81 * t8;
1757: t216 = t212 * t59;
1758: t219 = t3 * t90;
1759: t220 = t25 * t8;
1760: t221 = t18 * t91;
1761: t225 = t71 * t52;
1762: t231 = t16 * t51;
1763: t232 = t50 * t231;
1764: t237 = ZA * t12;
1765: t243 = t67 * t28;
1766: t244 = t24 * t243;
1767: t245 = t71 * t231;
1768: 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;
1769: t252 = t25 * t37;
1770: t253 = t252 * t39;
1771: t255 = nz * t15 * t12;
1772: t258 = t2 * t29;
1773: t259 = ZB * t28;
1774: t260 = t258 * t259;
1775: t263 = t106 * t17;
1776: t265 = xc * t25;
1777: t269 = t25 * t49;
1778: t270 = t269 * t52;
1779: t273 = t1 * t25;
1780: t274 = t273 * 0.3141592654e1;
1781: t275 = t57 * t19;
1782: t278 = t24 * t30;
1783: t288 = t1 * t11 * t72;
1784: t290 = t212 * t208;
1785: t292 = t2 * xc;
1786: 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;
1787: t301 = t50 * t176;
1788: t304 = t51 * t72;
1789: t305 = t71 * t304;
1790: t308 = t25 * t41;
1791: t311 = ZA * t48;
1792: t312 = t311 * t49;
1793: t317 = t91 * t15;
1794: t318 = t57 * t317;
1795: t321 = t81 * t88;
1796: t322 = t90 * t59;
1797: t325 = t212 * t231;
1798: t327 = t15 * t12;
1799: t328 = t57 * t327;
1800: t331 = t77 * t187;
1801: t334 = t2 * ZA;
1802: t335 = t334 * t122;
1803: t336 = t50 * t190;
1804: 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;
1805: t341 = t169 * t51;
1806: t344 = t49 * t11 * t72;
1807: t346 = t77 * t30;
1808: t347 = t50 * t304;
1809: t350 = t25 * t51;
1810: t352 = nx * ZA;
1811: t353 = t49 * t23;
1812: t354 = t352 * t353;
1813: t355 = t28 * xc;
1814: t362 = t25 * t91;
1815: t365 = t23 * nz;
1816: t366 = nx * t365;
1817: t367 = t366 * t122;
1818: t368 = ZB * t49;
1819: t369 = ZA * t51;
1820: t370 = t369 * t17;
1821: t371 = t368 * t370;
1822: t374 = t115 * t353;
1823: t375 = t355 * t73;
1824: 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;
1825: t382 = t71 * t208;
1826: t394 = t2 * t67;
1827: t395 = t394 * t122;
1828: t398 = t352 * t156;
1829: t402 = t17 * t12;
1830: t403 = t39 * ZA;
1831: t404 = t402 * t403;
1832: t407 = t269 * t208;
1833: t411 = t49 * t83 * t11;
1834: t413 = t46 * t69;
1835: 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;
1836: t424 = t16 * t11;
1837: t425 = t212 * t424;
1838: t427 = t258 * t181;
1839: t430 = t67 * t29;
1840: t431 = t366 * t430;
1841: t432 = t121 * t49;
1842: t433 = t432 * t52;
1843: t436 = nz * t12;
1844: t437 = t436 * t18;
1845: t440 = t29 * xc;
1846: t441 = t440 * t121;
1847: t442 = t394 * t441;
1848: t445 = t67 * t37;
1849: t446 = t445 * t39;
1850: t448 = nz * t18 * t91;
1851: t453 = t352 * t49;
1852: t458 = t8 * t23;
1853: t462 = t81 * t458;
1854: t463 = t30 * t19;
1855: 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;
1856: t470 = t436 * t58;
1857: t475 = t2 * t121 * t440 * t25;
1858: t485 = t212 * t73;
1859: t488 = t67 * t72 * t1;
1860: t490 = t39 * xc;
1861: 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;
1862: t503 = t115 * t8;
1863: t510 = t355 * t19;
1864: t513 = t432 * t208;
1865: t525 = t38 * t40 * t18;
1866: 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;
1867: t536 = t28 * t37;
1868: t538 = t490 * t100;
1869: t541 = t334 * t441;
1870: t547 = t394 * t30;
1871: t550 = t212 * t19;
1872: t553 = t366 * t441;
1873: t556 = nz * t17;
1874: 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;
1875: t583 = t90 * t317;
1876: t594 = t212 * t158;
1877: t596 = t152 * t67;
1878: t602 = t67 * t17;
1879: 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;
1880: t613 = t83 * t25;
1881: t616 = t81 * t156;
1882: t627 = t90 * t231;
1883: t630 = t91 * t16;
1884: 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;
1885: t643 = t77 * t355;
1886: t648 = t115 * t458;
1887: t651 = t134 * t67;
1888: t657 = t30 * t304;
1889: t660 = t30 * t146;
1890: t665 = t25 * t17;
1891: t668 = t50 * t424;
1892: 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;
1893: t672 = t90 * t424;
1894: t676 = t120 * t536;
1895: t680 = t436 * t41;
1896: t688 = t366 * t67 * t440;
1897: t696 = xc * t12;
1898: t697 = t696 * t18;
1899: t701 = t252 * t141;
1900: t702 = t90 * t221;
1901: 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;
1902: t712 = t24 * t430;
1903: t713 = t28 * t49;
1904: t721 = t1 * t17 * t11;
1905: t726 = ZB * xc;
1906: t737 = nz * t91;
1907: 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;
1908: t745 = t269 * t231;
1909: t749 = t1 * t28 * t265;
1910: t757 = t16 * t39;
1911: t758 = t696 * t757;
1912: t762 = t69 * t49;
1913: t772 = t355 * t100;
1914: t775 = t81 * t353;
1915: 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;
1916: t790 = t212 * t304;
1917: t793 = t156 * 0.3141592654e1;
1918: t795 = t355 * t304;
1919: t800 = t91 * t39;
1920: t801 = t800 * nz;
1921: t807 = t2 * t28;
1922: t808 = t807 * t726;
1923: 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;
1924: t812 = t117 * t51;
1925: t821 = t24 * t355;
1926: t827 = t90 * t304;
1927: t840 = t800 * t41;
1928: 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;
1929: t849 = t1 * t51;
1930: t850 = t849 * t17;
1931: t860 = t269 * t424;
1932: t863 = t273 * t187;
1933: 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;
1934: t879 = xc * ZA;
1935: t888 = t67 * t51;
1936: t901 = ZA * t17;
1937: t903 = t368 * t901 * t11;
1938: 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;
1939: t923 = t71 * t424;
1940: t926 = t87 * t458;
1941: t927 = t28 * ZA;
1942: 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;
1943: t948 = t90 * t327;
1944: t961 = t30 * t100;
1945: t964 = t29 * t49;
1946: t981 = t106 * t1;
1947: 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;
1948: 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;
1949: t1018 = t212 * t100;
1950: t1029 = t212 * t327;
1951: 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;
1952: 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;
1953: t1079 = t58 * t8;
1954: t1091 = t807 * t29;
1955: t1092 = t665 * t40;
1956: t1101 = ZB * t91;
1957: t1102 = t403 * nz;
1958: 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;
1959: t1108 = t849 * t72;
1960: t1121 = t737 * t15;
1961: t1124 = t29 * t12;
1962: 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;
1963: t1134 = t394 * t28;
1964: 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;
1965: t1161 = nz * t83;
1966: t1173 = ZB * t12;
1967: 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;
1968: 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;
1969: t1234 = t25 * ZB;
1970: t1235 = t1234 * t28;
1971: t1236 = t365 * t91;
1972: t1240 = ZB * t121;
1973: t1241 = t1240 * t77;
1974: t1242 = t39 * t39;
1975: t1243 = t12 * t1242;
1976: t1244 = xc * t72;
1977: t1245 = t1243 * t1244;
1978: t1248 = t365 * t25;
1979: t1252 = t243 * nz;
1980: t1257 = t23 * t1;
1981: t1258 = t1240 * t1257;
1982: t1259 = t67 * t12;
1983: t1260 = xc * t16;
1984: t1268 = t1234 * t121;
1985: t1269 = t1268 * t23;
1986: t1272 = t1242 * t91;
1987: t1280 = t67 * xc;
1988: t1284 = t28 * t28;
1989: t1285 = t67 * t1284;
1990: t1287 = t1285 * t2 * ZB;
1991: t1288 = t17 * xc;
1992: t1289 = t1243 * t1288;
1993: 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;
1994: t1293 = t365 * t83;
1995: t1300 = ZA * t1284;
1996: t1304 = t17 * t1242 * t25 * t12;
1997: t1307 = t927 * t2;
1998: t1311 = t23 * t2;
1999: t1312 = t1300 * t1311;
2000: t1316 = t1234 * t1284;
2001: t1317 = t1316 * t1311;
2002: t1321 = t1240 * t23;
2003: t1331 = t1240 * t23 * t67;
2004: t1332 = t40 * t1244;
2005: t1338 = t1243 * t1260;
2006: 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;
2007: t1346 = t1316 * t2;
2008: t1349 = t927 * nz;
2009: t1350 = t25 * t1242;
2010: t1354 = t1268 * t1257;
2011: t1366 = t1268 * t1;
2012: t1370 = t29 * t17;
2013: t1371 = t1243 * t1370;
2014: 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;
2015: t1387 = t1257 * t12;
2016: t1391 = t1240 * t1;
2017: t1399 = t1272 * t1260;
2018: t1412 = t1285 * t1311;
2019: 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;
2020: t1456 = t365 * ZB;
2021: 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;
2022: t1472 = t1316 * t365;
2023: t1474 = t1124 * t39 * t17;
2024: t1478 = t17 * t91;
2025: t1504 = t72 * t39;
2026: 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;
2027: 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;
2028: t1564 = t1260 * t800;
2029: 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;
2031: _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);
2032: /****************************************************************************************/
2033: t1 = nz * nz;
2034: t2 = t1 * nz;
2035: t3 = t2 * nx;
2036: t4 = nx * 0.3141592654e1;
2037: t5 = t4 * xc;
2038: t6 = PetscSinReal(t5);
2039: t7 = 0.3141592654e1 * 0.3141592654e1;
2040: t9 = t3 * t6 * t7;
2041: t10 = xc * xc;
2042: t11 = ZA * ZA;
2043: t12 = t10 * t11;
2044: t13 = nz * 0.3141592654e1;
2045: t14 = PetscExpReal(t13);
2046: t15 = t14 * t14;
2047: t16 = xc * nz;
2048: t18 = PetscExpReal(t16 * 0.3141592654e1);
2049: t19 = t18 * t18;
2050: t20 = t19 * t18;
2051: t21 = t15 * t20;
2052: t22 = t12 * t21;
2053: t25 = nx * t6;
2054: t26 = t1 * 0.3141592654e1;
2055: t27 = t25 * t26;
2056: t28 = ZA * ZB;
2057: t29 = t18 * t15;
2058: t30 = t28 * t29;
2059: t33 = t25 * nz;
2060: t34 = t11 * t15;
2061: t35 = t19 * t19;
2062: t36 = t35 * t18;
2063: t40 = t25 * t1;
2064: t41 = 0.3141592654e1 * t11;
2065: t42 = t15 * t36;
2066: t43 = t41 * t42;
2067: t46 = nx * nx;
2068: t47 = t1 * t46;
2069: t48 = t47 * t11;
2070: t49 = t7 * xc;
2071: t50 = t35 * t15;
2072: t51 = t49 * t50;
2073: t55 = PetscSinReal(t4);
2074: t56 = t46 * nx * t55;
2075: t58 = t56 * nz * t7;
2076: t59 = ZB * ZB;
2077: t60 = t10 * t59;
2078: t61 = t15 * t14;
2079: t62 = t19 * t61;
2080: t63 = t60 * t62;
2081: t66 = t19 * t14;
2082: t67 = t60 * t66;
2083: t70 = t28 * t42;
2084: t73 = PetscCosReal(t5);
2085: t74 = t47 * t73;
2086: t75 = t7 * t11;
2087: t77 = t75 * t10 * t36;
2088: t80 = t73 * t46;
2089: t81 = t80 * nz;
2090: t82 = 0.3141592654e1 * t59;
2091: t83 = t82 * t42;
2092: t87 = xc * t11;
2093: t88 = t87 * t62;
2094: t91 = nz * nx;
2095: t92 = t55 * t61;
2096: t96 = nx * t55;
2097: t98 = t96 * t2 * t7;
2098: t101 = xc * t59;
2099: t102 = t101 * t62;
2100: t108 = t1 * t1;
2101: t109 = t108 * t7;
2102: t111 = t59 * t35;
2103: t112 = t111 * t15;
2104: t115 = t35 * t20;
2105: t123 = t1 * nx * t55;
2106: t124 = t61 * t35;
2107: t127 = t35 * t19;
2108: t128 = t61 * t127;
2109: t129 = t60 * t128;
2110: t132 = t56 * t16;
2111: t133 = t7 * t59;
2112: t134 = t133 * t124;
2113: 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;
2114: t139 = t56 * 0.3141592654e1;
2115: t140 = t111 * t14;
2116: t144 = t49 * t124;
2117: t147 = t91 * t55;
2118: t148 = t61 * ZA;
2119: t154 = ZA * t115 * xc * ZB;
2120: t157 = t7 * 0.3141592654e1;
2121: t159 = t96 * t108 * t157;
2122: t160 = t10 * xc;
2123: t161 = t160 * t59;
2124: t162 = t35 * t14;
2125: t163 = t161 * t162;
2126: t166 = t28 * t162;
2127: t169 = t80 * t13;
2128: t170 = t101 * t42;
2129: t173 = t2 * t11;
2130: t174 = t96 * t173;
2131: t175 = t7 * t10;
2132: t179 = t59 * t15;
2133: t184 = t15 * t15;
2134: 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;
2135: t194 = t173 * 0.3141592654e1;
2136: t195 = xc * t15;
2137: t196 = t195 * t19;
2138: t202 = t15 * t115;
2139: t203 = t28 * t202;
2140: t206 = t96 * t26;
2141: t207 = t14 * t127;
2142: t208 = t101 * t207;
2143: t211 = t12 * t128;
2144: t218 = t11 * t61;
2145: t219 = t218 * t35;
2146: t221 = t108 * ZA;
2147: t223 = t7 * ZB;
2148: t224 = t223 * t50;
2149: t227 = ZA * xc;
2150: t228 = ZB * t15;
2151: t229 = t228 * t36;
2152: t230 = t227 * t229;
2153: t233 = t87 * t207;
2154: t236 = t6 * t11;
2155: 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;
2156: t244 = t227 * t228 * t20;
2157: t252 = t184 * t18;
2158: t253 = t101 * t252;
2159: t256 = t35 * t35;
2160: t257 = t256 * t14;
2161: t258 = t28 * t257;
2162: t261 = t108 * t11;
2163: t263 = t7 * t35;
2164: t268 = ZB * t61 * t35;
2165: t273 = t96 * t108 * t160;
2166: t274 = t157 * ZB;
2167: t276 = t274 * t148 * t35;
2168: t279 = t101 * t21;
2169: t282 = 0.3141592654e1 * xc;
2170: t283 = t59 * t36;
2171: t284 = t282 * t283;
2172: 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;
2173: t290 = t1 * t11;
2174: t291 = t96 * t290;
2175: t297 = t59 * t61;
2176: t298 = t297 * t127;
2177: t300 = ZB * t36;
2178: t301 = t227 * t300;
2179: t304 = t1 * t59;
2180: t305 = t184 * t35;
2181: t310 = t46 * ZB;
2182: t311 = t184 * ZA;
2183: t312 = t310 * t311;
2184: t314 = t60 * t21;
2185: t317 = t1 * ZA;
2186: t318 = ZB * t35;
2187: t321 = t1 * t256;
2188: t324 = t96 * t261;
2189: t325 = t10 * t157;
2190: t326 = t325 * t124;
2191: 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;
2192: t331 = t28 * t124;
2193: t334 = 0.3141592654e1 * t15;
2194: t335 = t334 * t127;
2195: t338 = t35 * ZA;
2196: t341 = t46 * t256;
2197: t344 = t46 * t11;
2198: t346 = t46 * t59;
2199: t348 = t297 * t35;
2200: t351 = ZA * t10;
2201: t352 = t351 * t300;
2202: t355 = t1 * ZB;
2203: 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;
2204: t363 = t36 * t184;
2205: t364 = t87 * t363;
2206: t368 = t47 * t73 * t7;
2207: t373 = t160 * t157;
2208: t374 = t373 * t124;
2209: t377 = t311 * t35;
2210: t380 = t12 * t62;
2211: t386 = ZB * t10 * ZA * t15 * t20;
2212: t389 = t87 * t66;
2213: t393 = t56 * t1 * t10;
2214: 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;
2215: t412 = t11 * t14 * t127;
2216: t416 = t11 * t19;
2217: t417 = t416 * t61;
2218: t421 = t96 * t2 * ZA;
2219: t426 = t56 * nz * ZA;
2220: t427 = t318 * t14;
2221: t428 = t49 * t427;
2222: t431 = t82 * t29;
2223: t434 = t87 * t21;
2224: 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;
2225: t443 = t184 * t20;
2226: t447 = t61 * 0.3141592654e1;
2227: t448 = t447 * t11;
2228: t450 = t49 * t268;
2229: t453 = t60 * t42;
2230: t456 = t41 * t202;
2231: t463 = t101 * t443;
2232: t469 = t41 * xc * t20;
2233: 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;
2234: t482 = t108 * t10;
2235: t492 = nz * t46;
2236: t493 = t492 * t11;
2237: t495 = t282 * t19 * t184;
2238: t498 = t56 * t290;
2239: t499 = t325 * t162;
2240: t502 = t416 * t14;
2241: t504 = t60 * t207;
2242: 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;
2243: t508 = t101 * t162;
2244: t512 = t41 * t115 * xc;
2245: t515 = t87 * t42;
2246: t520 = ZB * t184;
2247: t522 = t227 * t520 * t18;
2248: t525 = t492 * t59;
2249: t528 = t6 * t59;
2250: t532 = t520 * t20;
2251: t533 = t351 * t532;
2252: t539 = t447 * t59;
2253: 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;
2254: t551 = t87 * t162;
2255: t554 = t351 * t229;
2256: t560 = t59 * t19;
2257: t561 = t560 * t14;
2258: t564 = t101 * t202;
2259: t567 = t87 * t252;
2260: t573 = t227 * t228 * t115;
2261: 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;
2262: t579 = t82 * t202;
2263: t591 = t282 * t115 * t59;
2264: t598 = t101 * t66;
2265: 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;
2266: t608 = t373 * t162;
2267: t611 = t59 * t184;
2268: t617 = t101 * t29;
2269: t624 = t227 * ZB * t18 * t15;
2270: t629 = t157 * t59;
2271: t630 = t629 * t124;
2272: t633 = t3 * t6;
2273: t634 = t175 * t283;
2274: 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;
2275: t645 = t41 * t29;
2276: t648 = t2 * 0.3141592654e1;
2277: t649 = t648 * xc;
2278: t650 = t560 * t184;
2279: t656 = t56 * t1 * t157;
2280: t659 = t87 * t128;
2281: t662 = t96 * t482;
2282: t663 = t629 * t162;
2283: t671 = t161 * t124;
2284: t674 = t218 * t127;
2285: 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;
2286: t714 = t334 * t19;
2287: t719 = t12 * t42;
2288: 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;
2289: t730 = xc * t19;
2290: t735 = t59 * t256 * t14;
2291: 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;
2292: t755 = t28 * t21;
2293: t759 = t274 * t338 * t14;
2294: t767 = t11 * t35;
2295: t768 = t767 * t14;
2296: t778 = t560 * t61;
2297: 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;
2298: t786 = t12 * t443;
2299: t790 = t282 * t59 * t20;
2300: t796 = t59 * t14 * t127;
2301: t806 = t41 * t21;
2302: 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;
2303: t819 = t282 * t15 * t127;
2304: t822 = t101 * t363;
2305: t830 = t11 * t256 * t14;
2306: t835 = t227 * t532;
2307: 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;
2308: t845 = t87 * t202;
2309: t854 = t338 * t15;
2310: t859 = t12 * t207;
2311: 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;
2312: t880 = t60 * t443;
2313: t891 = t101 * t128;
2314: 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;
2315: t903 = t179 * t19;
2316: t920 = t56 * t1 * t160;
2317: 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;
2318: t932 = t87 * t29;
2319: t945 = t82 * t21;
2320: 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;
2321: t971 = t282 * t127;
2322: 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;
2323: t997 = xc * t127;
2324: t998 = t997 * t59;
2325: 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;
2326: t1006 = t2 * t59;
2327: t1017 = xc * t35;
2328: 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;
2329: 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;
2330: t1070 = t15 * t19;
2331: 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;
2332: 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;
2333: t1119 = t321 * t46;
2334: t1122 = t157 * t11;
2335: t1123 = t1122 * t2;
2336: t1124 = t184 * t46;
2337: t1128 = t108 * nz;
2338: t1132 = t7 * t7;
2339: t1133 = t1132 * t11;
2340: t1134 = t1133 * t108;
2341: t1135 = t15 * t46;
2342: t1139 = t7 * ZA;
2343: t1140 = t1139 * ZB;
2344: t1141 = t1 * t35;
2345: t1145 = t629 * t2;
2346: t1146 = t1135 * t730;
2347: t1149 = t157 * t1128;
2348: t1150 = t1149 * xc;
2349: t1153 = t46 * xc;
2350: t1154 = t1153 * t127;
2351: t1158 = t184 * t1 * t46;
2352: t1161 = t46 * t46;
2353: t1162 = t35 * t1161;
2354: t1166 = t7 * t1;
2355: 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;
2356: t1171 = t1161 * t184;
2357: t1175 = t1122 * nz;
2358: t1176 = t15 * t1161;
2359: t1180 = t1132 * ZA;
2360: t1181 = t1180 * t355;
2361: t1182 = t1176 * t1017;
2362: t1185 = t1161 * xc;
2363: t1189 = t1133 * t1;
2364: t1192 = t108 * t1;
2365: t1193 = t1132 * t1192;
2366: t1195 = t10 * t35;
2367: t1199 = t157 * t15;
2368: t1203 = t1141 * t46;
2369: t1211 = t184 * t108;
2370: 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;
2371: t1221 = t256 * t1161;
2372: t1224 = t35 * t108;
2373: t1233 = t7 * t256;
2374: 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;
2375: t1240 = t1135 * t1195;
2376: t1252 = t629 * t127;
2377: t1263 = t1171 * ZA;
2378: 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;
2379: t1283 = t1199 * t19;
2380: t1287 = t1199 * t127;
2381: t1289 = t59 * nz * t1161;
2382: t1293 = t157 * nz * xc;
2383: t1304 = t1132 * t108;
2384: t1310 = t263 * ZB;
2385: t1316 = t2 * t15;
2386: 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;
2387: t1330 = t1132 * t15;
2388: t1336 = t1132 * t1;
2389: t1338 = t1162 * t179;
2390: 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;
2391: t1376 = t7 * t184;
2392: t1380 = t1176 * t1195;
2393: t1393 = t1330 * t35;
2394: 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;
2395: 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;
2396: _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);
2397: /****************************************************************************************/
2398: t1 = nz * nz;
2399: t2 = t1 * xc;
2400: t3 = ZB * ZB;
2401: t5 = t2 * 0.3141592654e1 * t3;
2402: t6 = nx * 0.3141592654e1;
2403: t7 = t6 * xc;
2404: t8 = PetscCosReal(t7);
2405: t9 = nx * nx;
2406: t10 = t8 * t9;
2407: t11 = nz * 0.3141592654e1;
2408: t12 = PetscExpReal(t11);
2409: t13 = t12 * t12;
2410: t16 = PetscExpReal(xc * nz * 0.3141592654e1);
2411: t17 = t16 * t16;
2412: t18 = t17 * t16;
2413: t19 = t17 * t17;
2414: t20 = t19 * t18;
2415: t21 = t13 * t20;
2416: t22 = t10 * t21;
2417: t25 = ZA * ZA;
2418: t26 = t1 * t25;
2419: t27 = xc * 0.3141592654e1;
2420: t28 = t26 * t27;
2421: t29 = t19 * t16;
2422: t30 = t13 * t13;
2423: t31 = t29 * t30;
2424: t35 = t9 * nx;
2425: t36 = t3 * t35;
2426: t37 = PetscSinReal(t6);
2427: t38 = t13 * t12;
2428: t39 = t37 * t38;
2429: t40 = t39 * t19;
2430: t42 = t1 * t1;
2431: t43 = nx * t42;
2432: t44 = xc * xc;
2433: t45 = t25 * t44;
2434: t46 = t43 * t45;
2435: t47 = 0.3141592654e1 * 0.3141592654e1;
2436: t48 = t47 * t37;
2437: t49 = t17 * t38;
2438: t54 = 0.3141592654e1 * t35;
2439: t55 = ZA * nz * t54;
2440: t56 = t37 * ZB;
2441: t57 = t19 * t12;
2442: t61 = t25 * t8;
2443: t62 = t61 * t9;
2444: t63 = nz * t30;
2445: t64 = t63 * t16;
2446: t67 = t1 * nz;
2447: t69 = t47 * ZB;
2448: t70 = t67 * t44 * t69;
2449: t75 = nx * t3;
2450: t76 = t75 * t37;
2451: t77 = t67 * 0.3141592654e1;
2452: t78 = t19 * t19;
2453: t79 = t78 * t12;
2454: t80 = t77 * t79;
2455: t82 = t3 * t38;
2456: t84 = t54 * t37;
2457: t87 = PetscSinReal(t7);
2458: t88 = t29 * t87;
2459: t89 = t47 * t44;
2460: t93 = nx * t25;
2461: t94 = t87 * t42;
2462: t95 = t93 * t94;
2463: t96 = t47 * xc;
2464: t97 = t13 * t29;
2465: t98 = t96 * t97;
2466: t101 = t87 * t67;
2467: t102 = t93 * t101;
2468: t103 = t13 * t18;
2469: t107 = t47 * t35;
2470: t108 = t26 * t107;
2471: t109 = t37 * t44;
2472: t110 = t19 * t17;
2473: t111 = t12 * t110;
2474: t116 = t37 * t19 * t12;
2475: t118 = t37 * xc;
2476: t119 = ZB * t19;
2477: t120 = t119 * t12;
2478: t121 = t118 * t120;
2479: t125 = xc * t3;
2480: t126 = t1 * t47 * t125;
2481: t127 = t35 * t37;
2482: t128 = t38 * t19;
2483: t129 = t127 * t128;
2484: t132 = t26 * 0.3141592654e1;
2485: t133 = t16 * t13;
2486: t134 = t10 * t133;
2487: t137 = 0.3141592654e1 * ZB;
2488: t138 = t2 * t137;
2489: t139 = ZA * t8;
2490: t140 = t9 * t13;
2491: t145 = t30 * t18;
2492: t146 = t10 * t145;
2493: t149 = t3 * t8;
2494: t150 = t149 * t9;
2495: 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;
2496: t154 = t42 * nz;
2497: t155 = nx * t154;
2498: t156 = t44 * xc;
2499: t157 = t47 * 0.3141592654e1;
2500: t158 = t156 * t157;
2501: t159 = t155 * t158;
2502: t162 = t56 * ZA * t19 * t12;
2503: t165 = t77 * t49;
2504: t167 = t1 * t3;
2505: t168 = t167 * t89;
2506: t169 = t127 * t49;
2507: t172 = t37 * t67;
2508: t173 = t75 * t172;
2509: t174 = t38 * t110;
2510: t175 = t27 * t174;
2511: t179 = t47 * t25;
2512: t181 = t10 * t97;
2513: t184 = t27 * t31;
2514: t187 = t67 * t47;
2515: t188 = t44 * t3;
2516: t189 = t187 * t188;
2517: t192 = t25 * t35;
2518: t193 = t37 * t17;
2519: t194 = t193 * t12;
2520: t196 = nx * ZA;
2521: t197 = t196 * t172;
2522: t198 = ZB * t38;
2523: t199 = t198 * t19;
2524: t204 = t1 * t12 * t110;
2525: t207 = nx * ZB;
2526: t209 = t1 * ZA;
2527: t215 = t67 * t3;
2528: t216 = t47 * t8;
2529: t217 = t215 * t216;
2530: t218 = t9 * xc;
2531: t222 = nx * t67;
2532: t223 = t222 * t27;
2533: t224 = t3 * t87;
2534: t228 = t167 * t107;
2535: t232 = t26 * t96;
2536: t235 = t207 * t94;
2537: t236 = t47 * ZA;
2538: t243 = xc * t13;
2539: t244 = t243 * t29;
2540: t248 = t25 * nz;
2541: t249 = t248 * 0.3141592654e1;
2542: t253 = ZB * ZA;
2543: t254 = t253 * t8;
2544: t255 = t9 * nz;
2545: t256 = t30 * t16;
2546: 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;
2547: t263 = t43 * t179;
2548: t267 = t3 * nz;
2549: t268 = t267 * t54;
2550: t269 = t118 * t57;
2551: t272 = t39 * t1;
2552: t274 = t67 * t25;
2553: t275 = t274 * t158;
2554: t278 = t75 * t87;
2555: t279 = t77 * t103;
2556: t282 = t25 * t38;
2557: t285 = ZA * t38;
2558: t290 = t267 * 0.3141592654e1;
2559: t296 = t77 * t111;
2560: t298 = t196 * t37;
2561: t299 = t1 * ZB;
2562: t303 = t37 * t42;
2563: t304 = t196 * t303;
2564: t308 = t77 * t57;
2565: t310 = t26 * t89;
2566: t313 = t77 * t128;
2567: t316 = t101 * t27;
2568: t319 = t93 * t87;
2569: t320 = t77 * t97;
2570: t323 = t127 * t57;
2571: t326 = t10 * nz;
2572: t329 = t118 * t174;
2573: 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;
2574: t335 = t75 * t101;
2575: t336 = t27 * t21;
2576: t342 = t77 * t133;
2577: t347 = t209 * t137;
2578: t350 = t9 * t1;
2579: t351 = t149 * t350;
2580: t355 = t37 * t78 * t12;
2581: t359 = t93 * t303;
2582: t367 = t172 * 0.3141592654e1;
2583: t369 = t96 * t103;
2584: t376 = t209 * t107;
2585: t379 = t10 * t103;
2586: t383 = t207 * t101;
2587: t389 = 0.3141592654e1 * ZA;
2588: t390 = t222 * t389;
2589: t391 = t87 * ZB;
2590: 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;
2591: t402 = t39 * t110;
2592: t404 = t193 * t38;
2593: t406 = t127 * t174;
2594: t408 = t167 * 0.3141592654e1;
2595: t411 = t44 * t157;
2596: t412 = t155 * t411;
2597: t413 = t285 * t19;
2598: t414 = t56 * t413;
2599: t417 = ZA * t30;
2600: t424 = t93 * t37;
2601: t426 = t248 * t54;
2602: t427 = t17 * t12;
2603: t428 = t118 * t427;
2604: t431 = t77 * t21;
2605: t438 = ZA * t13;
2606: t443 = t93 * t172;
2607: t444 = t27 * t427;
2608: t448 = t1 * t78 * t12;
2609: t455 = t274 * t89;
2610: t461 = t118 * t111;
2611: 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;
2612: t469 = nz * t16 * t13;
2613: t474 = t1 * t38;
2614: t475 = t474 * t19;
2615: t480 = t89 * t103;
2616: t483 = t67 * ZA;
2617: t484 = t483 * t411;
2618: t485 = t127 * t120;
2619: t488 = t127 * t111;
2620: t497 = t77 * t427;
2621: t502 = t27 * t97;
2622: t508 = t1 * t19 * t12;
2623: t511 = t155 * t25 * t156;
2624: t512 = t157 * t37;
2625: t513 = t512 * t128;
2626: t527 = t1 * t17;
2627: t528 = t527 * t38;
2628: 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;
2629: t535 = t44 * t13;
2630: t542 = t527 * t12;
2631: t544 = nz * t13;
2632: t545 = t544 * t20;
2633: t548 = t75 * t303;
2634: t549 = t96 * t111;
2635: t552 = ZA * t35;
2636: t553 = t552 * t37;
2637: t562 = t43 * t96;
2638: t563 = t3 * t37;
2639: t564 = t563 * t128;
2640: t579 = t474 * t110;
2641: t590 = t9 * t30;
2642: t591 = t590 * t18;
2643: t595 = t127 * t427;
2644: t598 = t77 * t174;
2645: 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;
2646: t601 = t27 * t49;
2647: t604 = t127 * t79;
2648: t606 = ZB * t29;
2649: t616 = t139 * t140 * t18;
2650: t638 = t10 * t256;
2651: t643 = t118 * t199;
2652: t653 = t544 * t29;
2653: t658 = t3 * t29;
2654: t660 = t350 * t27;
2655: 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;
2656: t670 = t274 * t411;
2657: t673 = t118 * t49;
2658: t694 = t155 * t45;
2659: t713 = nz * t29 * t30;
2660: t717 = t20 * t87;
2661: t723 = t512 * t57;
2662: 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;
2663: t734 = t43 * t89;
2664: t735 = t563 * t427;
2665: t740 = t75 * t94;
2666: t744 = ZB * xc;
2667: t750 = t563 * t57;
2668: t754 = t218 * t103;
2669: t771 = t127 * t199;
2670: t776 = t89 * t174;
2671: 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;
2672: t794 = t483 * t158;
2673: t801 = t2 * 0.3141592654e1;
2674: t818 = t215 * t411;
2675: t827 = t96 * t174;
2676: t837 = t37 * t12 * t110;
2677: 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;
2678: t864 = t544 * t18;
2679: t867 = t3 * t18;
2680: t884 = t27 * t256;
2681: t891 = t187 * t744;
2682: t894 = t563 * t49;
2683: 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;
2684: t904 = t27 * t111;
2685: t907 = t118 * t128;
2686: t915 = t89 * t145;
2687: t947 = t139 * t140 * t29;
2688: 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;
2689: t969 = t67 * t157 * t156 * t3;
2690: t974 = t27 * t133;
2691: 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;
2692: t1042 = t89 * t97;
2693: 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;
2694: 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;
2695: t1103 = t42 * t1 * t157;
2696: t1104 = t1103 * t25;
2697: t1108 = t3 * t19;
2698: t1112 = nz * t47;
2699: t1113 = t9 * t9;
2700: t1118 = t42 * t157;
2701: t1119 = t1118 * t9;
2702: t1120 = t25 * xc;
2703: t1121 = t13 * t110;
2704: t1122 = t1120 * t1121;
2705: t1125 = t47 * t47;
2706: t1126 = t67 * t1125;
2707: t1127 = t1113 * ZA;
2708: t1128 = t1126 * t1127;
2709: t1129 = t19 * t13;
2710: t1130 = t744 * t1129;
2711: t1133 = t154 * t1125;
2712: t1134 = t1133 * t9;
2713: t1135 = t45 * t1129;
2714: t1138 = t154 * t47;
2715: t1139 = t25 * t30;
2716: t1142 = t1126 * t1113;
2717: t1145 = t125 * t1129;
2718: t1148 = t1103 * xc;
2719: t1149 = t3 * t13;
2720: t1150 = t1149 * t17;
2721: t1153 = t25 * t78;
2722: 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;
2723: t1157 = t25 * t13;
2724: t1158 = t1157 * t17;
2725: t1161 = t13 * t17;
2726: t1162 = t1120 * t1161;
2727: t1165 = t3 * t78;
2728: t1170 = t42 * t67 * t1125;
2729: t1172 = t1108 * t13;
2730: t1175 = t1 * t157;
2731: t1176 = t1175 * t1113;
2732: t1182 = t1120 * t1129;
2733: t1189 = t110 * t9 * xc;
2734: t1192 = t1149 * t110;
2735: 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;
2736: t1209 = t17 * t30;
2737: t1210 = t125 * t1209;
2738: t1213 = t1138 * ZA;
2739: t1214 = ZB * t30;
2740: t1218 = t1157 * t110;
2741: t1226 = t3 * t30;
2742: t1237 = t1170 * t25;
2743: 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;
2744: t1251 = t125 * t1121;
2745: t1260 = t1120 * t1209;
2746: t1263 = t1139 * t19;
2747: 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;
2748: t1287 = t188 * t1129;
2749: t1292 = t25 * t19;
2750: t1296 = t187 * t9;
2751: t1297 = t1226 * t19;
2752: t1311 = t1112 * t1113;
2753: 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;
2754: t1320 = t253 * t1129;
2755: t1328 = t253 * t30 * t19;
2756: t1333 = t125 * t1161;
2757: t1343 = ZB * t44 * t1129;
2758: 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;
2759: t1369 = t1133 * t9 * ZA;
2760: t1378 = t187 * ZA;
2761: t1383 = t1170 * ZA;
2762: 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;
2763: 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;
2765: _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);
2766: /****************************************************************************************/
2767: /****************************************************************************************/
2769: if (x>xc) {
2770: _PC1=_PC1B; _PC2=_PC2B; _PC3=_PC3B; _PC4=_PC4B; Z=ZB;
2771: }
2772: else {
2773: _PC1=_PC1A; _PC2=_PC2A; _PC3=_PC3A; _PC4=_PC4A; Z=ZA;
2774: }
2775: /****************************************************************************************/
2776: /****************************************************************************************/
2777: t1 = nz * nz;
2778: t2 = t1 * t1;
2779: t3 = t2 * nz;
2780: t4 = x * t3;
2781: t5 = 0.3141592654e1 * 0.3141592654e1;
2782: t6 = t5 * 0.3141592654e1;
2783: t11 = _PC3 * t6;
2784: t12 = x * nz;
2785: t13 = nx * nx;
2786: t14 = t13 * t13;
2787: t15 = t12 * t14;
2788: t19 = PetscExpReal(t12 * 0.3141592654e1);
2789: t20 = t19 * t19;
2790: t21 = t4 * t20;
2791: t24 = _PC1 * t5;
2792: t25 = Z * t20;
2793: t29 = _PC1 * t6;
2794: t30 = t29 * Z;
2795: t31 = t1 * nz;
2796: t32 = x * t31;
2797: t33 = t32 * t13;
2798: t36 = t11 * x;
2799: t41 = nz * t20;
2800: t45 = t6 * _PC4;
2801: t49 = t20 * t1;
2802: t51 = _PC2 * Z;
2803: 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;
2804: t58 = t32 * t6;
2805: t59 = _PC4 * t20;
2806: t63 = t20 * t13;
2807: t67 = t12 * t6;
2808: t68 = t20 * t14;
2809: t87 = t49 * t13;
2810: 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;
2811: t106 = _PC3 * t5;
2812: 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;
2813: t129 = PetscSinReal(nx * 0.3141592654e1 * x);
2814: 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;
2815: t158 = t5 * Z;
2817: u1 = (t55 + t90 + t120 + t155) / (0.4e1 * t158 * t19 * t2 + 0.8e1 * t158 * t19 * t1 * t13 + 0.4e1 * t158 * t19 * t14);
2818: /****************************************************************************************/
2819: /****************************************************************************************/
2820: t1 = nz * nz;
2821: t2 = t1 * nz;
2822: t3 = x * t2;
2823: t4 = 0.3141592654e1 * 0.3141592654e1;
2824: t5 = t4 * 0.3141592654e1;
2825: t6 = t3 * t5;
2826: t7 = _PC2 * Z;
2827: t8 = nx * nx;
2828: t12 = t1 * t1;
2829: t13 = t12 * nz;
2830: t14 = x * t13;
2831: t15 = t5 * _PC4;
2832: t16 = x * nz;
2833: t18 = PetscExpReal(t16 * 0.3141592654e1);
2834: t19 = t18 * t18;
2835: t23 = t16 * t5;
2836: t24 = t8 * t8;
2837: t28 = _PC3 * t5;
2838: t29 = t14 * t19;
2839: t32 = _PC1 * t5;
2840: t33 = t32 * Z;
2841: t34 = t16 * t24;
2842: t37 = _PC4 * t19;
2843: t45 = _PC2 * t4;
2844: t53 = t19 * t8;
2845: t58 = _PC4 * t4;
2846: t60 = t1 * t19 * t8;
2847: t63 = t19 * t24;
2848: t67 = t3 * t8;
2849: t73 = nz * t19;
2850: t86 = t28 * x;
2851: 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;
2852: t94 = Z * t12;
2853: 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;
2854: t146 = PetscCosReal(nx * 0.3141592654e1 * x);
2855: 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;
2856: t159 = t4 * Z;
2858: 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);
2859: /****************************************************************************************/
2860: /****************************************************************************************/
2861: t1 = 0.3141592654e1 * 0.3141592654e1;
2862: t2 = t1 * 0.3141592654e1;
2863: t3 = _PC1 * t2;
2864: t4 = t3 * Z;
2865: t5 = nz * nz;
2866: t6 = t5 * t5;
2867: t7 = t6 * nz;
2868: t8 = x * t7;
2869: t9 = x * nz;
2870: t11 = PetscExpReal(t9 * 0.3141592654e1);
2871: t12 = t11 * t11;
2872: t13 = t8 * t12;
2873: t16 = t5 * nz;
2874: t17 = x * t16;
2875: t18 = t17 * t2;
2876: t19 = _PC4 * t12;
2877: t20 = nx * nx;
2878: t24 = t2 * _PC4;
2879: t28 = _PC3 * t2;
2880: t29 = t28 * x;
2881: t30 = t12 * nz;
2882: t31 = t20 * t20;
2883: t40 = _PC2 * Z;
2884: t44 = t9 * t2;
2885: t48 = t12 * t20;
2886: t52 = t17 * t20;
2887: 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;
2888: t58 = t9 * t31;
2889: t61 = _PC3 * t1;
2890: t62 = t12 * t31;
2891: t73 = t5 * t20;
2892: t78 = _PC1 * t1;
2893: t90 = Z * t12;
2894: 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;
2895: t101 = PetscCosReal(nx * 0.3141592654e1 * x);
2896: t102 = t11 * t101;
2897: t109 = t12 * t5;
2898: t110 = t109 * t20;
2899: 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;
2900: 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;
2901: t159 = t1 * t11;
2903: u3 = (t57 + t94 + t128 + t156) / (0.4e1 * t159 * t6 + 0.8e1 * t159 * t73 + 0.4e1 * t159 * t31);
2904: /****************************************************************************************/
2905: /****************************************************************************************/
2906: t1 = _PC2 * Z;
2907: t2 = 0.3141592654e1 * 0.3141592654e1;
2908: t3 = t2 * 0.3141592654e1;
2909: t4 = nz * nz;
2910: t5 = t4 * t4;
2911: t6 = t5 * t4;
2912: t8 = t3 * t6 * x;
2913: t11 = x * t4;
2914: t12 = t11 * t3;
2915: t15 = PetscExpReal(x * nz * 0.3141592654e1);
2916: t16 = t15 * t15;
2917: t17 = _PC3 * t16;
2918: t18 = nx * nx;
2919: t19 = t18 * t18;
2920: t23 = t5 * nz;
2921: t24 = t2 * t23;
2922: t28 = t1 * t3;
2923: t29 = t6 * x;
2924: t30 = t29 * t16;
2925: t33 = _PC4 * t3;
2926: t34 = t5 * x;
2927: t35 = t34 * t18;
2928: t41 = PetscSinReal(nx * 0.3141592654e1 * x);
2929: t47 = t11 * t19;
2930: t54 = t3 * _PC3;
2931: 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;
2932: t58 = 0.3141592654e1 * t16;
2933: t60 = t2 * _PC4;
2934: t69 = t4 * nz;
2935: t73 = t1 * t2;
2936: t75 = t69 * t16 * t18;
2937: t79 = x * t16;
2938: t83 = nz * t16;
2939: t84 = t83 * t19;
2940: 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;
2941: t97 = t34 * t3;
2942: t101 = Z * _PC1;
2943: t102 = t16 * t19;
2944: t106 = t16 * t18;
2945: t127 = t2 * t69;
2946: t131 = t2 * nz;
2947: 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;
2948: 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;
2950: u4 = (t57 + t95 + t135 + t164) / (0.4e1 * t24 * t15 + 0.8e1 * t127 * t15 * t18 + 0.4e1 * t131 * t15 * t19);
2952: /****************************************************************************************/
2953: /****************************************************************************************/
2955: u5 = (PetscReal)(-2*Z*nz*PETSC_PI*u2-u3*2*nz*PETSC_PI)*PetscCosReal(nz*PETSC_PI*z); /* pressure */
2957: u6 = (PetscReal)(u3*2*nz*PETSC_PI + 4*Z*nz*PETSC_PI*u2)*PetscCosReal(nz*PETSC_PI*z); /* zz stress */
2958: sum5 +=u5;
2959: sum6 +=u6;
2961: u1 *= PetscCosReal(nz*PETSC_PI*z); /* x velocity */
2962: sum1 += u1;
2963: u2 *= PetscSinReal(nz*PETSC_PI*z); /* z velocity */
2964: sum2 += u2;
2965: u3 *= 2*nz*PETSC_PI*PetscCosReal(nz*PETSC_PI*z); /* xx stress */
2966: sum3 += u3;
2967: u4 *= 2*nz*PETSC_PI*PetscSinReal(nz*PETSC_PI*z); /* zx stress */
2968: sum4 += u4;
2970: /* Output */
2971: if (mu) {
2972: *mu = Z;
2973: }
2974: if (vel) {
2975: vel[0] = sum1;
2976: vel[1] = sum2;
2977: }
2978: if (p) {
2979: (*p) = sum5;
2980: }
2981: if (s) {
2982: s[0] = sum3;
2983: s[1] = sum4;
2984: s[2] = sum6;
2985: }
2986: if (gamma) {
2987: /* sigma = tau - p, tau = sigma + p, tau[] = 2*eta*gamma[] */
2988: gamma[0] = (sum3+sum5)/(2.0*Z);
2989: gamma[1] = (sum4)/(2.0*Z);
2990: gamma[2] = (sum6+sum5)/(2.0*Z);
2991: }
2992: return(0);
2993: }
2995: static PetscErrorCode SolCxSolutionVelocity(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar v[], void *ctx)
2996: {
2997: Parameter *s = (Parameter *) ctx;
3001: SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, v, NULL, NULL, NULL, NULL);
3002: return(0);
3003: }
3005: static PetscErrorCode SolCxSolutionPressure(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar p[], void *ctx)
3006: {
3007: Parameter *s = (Parameter *) ctx;
3011: SolCxSolution(x, s->m, s->n, s->xc, s->etaA, s->etaB, NULL, p, NULL, NULL, NULL);
3012: return(0);
3013: }
3015: static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
3016: {
3017: PetscInt sol;
3021: options->solType = SOLKX;
3023: PetscOptionsBegin(comm, "", "Variable-Viscosity Stokes Problem Options", "DMPLEX");
3024: sol = options->solType;
3025: PetscOptionsEList("-sol_type", "Type of exact solution", "ex69.c", solTypes, NUM_SOL_TYPES, solTypes[options->solType], &sol, NULL);
3026: options->solType = (SolutionType) sol;
3027: PetscOptionsEnd();
3028: return(0);
3029: }
3031: static PetscErrorCode SetUpParameters(AppCtx *user)
3032: {
3033: PetscBag bag;
3034: Parameter *p;
3038: /* setup PETSc parameter bag */
3039: PetscBagGetData(user->bag, (void **) &p);
3040: PetscBagSetName(user->bag, "par", "Problem parameters");
3041: bag = user->bag;
3042: switch (user->solType) {
3043: case SOLKX:
3044: PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation");
3045: PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation");
3046: PetscBagRegisterReal(bag, &p->B, 1.0, "B", "Exponential scale for viscosity variation");
3047: break;
3048: case SOLCX:
3049: PetscBagRegisterInt(bag, &p->n, 1, "n", "x-wavelength for forcing variation");
3050: PetscBagRegisterInt(bag, &p->m, 1, "m", "z-wavelength for forcing variation");
3051: PetscBagRegisterReal(bag, &p->etaA, 1.0, "etaA", "Viscosity for x < xc");
3052: PetscBagRegisterReal(bag, &p->etaB, 1.0, "etaB", "Viscosity for x > xc");
3053: PetscBagRegisterReal(bag, &p->xc, 0.5, "xc", "x-coordinate of the viscosity jump");
3054: break;
3055: default:
3056: SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", (PetscInt) user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3057: }
3058: PetscBagSetFromOptions(bag);
3059: PetscBagViewFromOptions(bag, NULL, "-param_view");
3060: return(0);
3061: }
3063: /* Make split labels so that we can have corners in multiple labels */
3064: static PetscErrorCode CreateSplitLabels(DM dm)
3065: {
3066: const char *names[4] = {"markerBottom", "markerRight", "markerTop", "markerLeft"};
3067: PetscInt ids[4] = {1, 2, 3, 4};
3068: DMLabel label;
3069: IS is;
3070: PetscInt f;
3074: for (f = 0; f < 4; ++f) {
3075: DMCreateLabel(dm, names[f]);
3076: DMGetStratumIS(dm, "marker", ids[f], &is);
3077: if (!is) continue;
3078: DMGetLabel(dm, names[f], &label);
3079: DMLabelInsertIS(label, is, 1);
3080: ISDestroy(&is);
3081: }
3082: return(0);
3083: }
3085: static PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
3086: {
3087: DM cdm;
3091: DMCreate(comm, dm);
3092: DMSetType(*dm, DMPLEX);
3093: DMSetFromOptions(*dm);
3094: cdm = *dm;
3095: while (cdm) {
3096: CreateSplitLabels(cdm);
3097: DMGetCoarseDM(cdm, &cdm);
3098: }
3099: DMViewFromOptions(*dm, NULL, "-dm_view");
3100: return(0);
3101: }
3103: static PetscErrorCode SetupProblem(DM dm, AppCtx *user)
3104: {
3105: PetscErrorCode (*exactFunc)(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
3106: PetscDS prob;
3107: DMLabel label;
3108: const PetscInt id = 1;
3109: PetscInt dim, comp;
3110: Parameter *ctx;
3111: void *data;
3115: DMGetDimension(dm, &dim);
3116: DMGetDS(dm, &prob);
3117: switch (user->solType) {
3118: case SOLKX:
3119: PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_kx);
3120: PetscDSSetResidual(prob, 1, stokes_mass, f1_zero);
3121: PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx);
3122: PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL);
3123: PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL);
3124: PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx);
3125: PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_kx, NULL, NULL, NULL);
3126: break;
3127: case SOLCX:
3128: PetscDSSetResidual(prob, 0, f0_u, stokes_momentum_cx);
3129: PetscDSSetResidual(prob, 1, stokes_mass, f1_zero);
3130: PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_cx);
3131: PetscDSSetJacobian(prob, 0, 1, NULL, NULL, stokes_momentum_pres_J, NULL);
3132: PetscDSSetJacobian(prob, 1, 0, NULL, stokes_mass_J, NULL, NULL);
3133: PetscDSSetJacobianPreconditioner(prob, 0, 0, NULL, NULL, NULL, stokes_momentum_vel_J_kx);
3134: PetscDSSetJacobianPreconditioner(prob, 1, 1, stokes_identity_J_cx, NULL, NULL, NULL);
3135: break;
3136: default:
3137: SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", (PetscInt) user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3138: }
3139: PetscBagGetData(user->bag, &data);
3140: switch (dim) {
3141: case 2:
3142: switch (user->solType) {
3143: case SOLKX:
3144: PetscDSSetExactSolution(prob, 0, SolKxSolutionVelocity, data);
3145: PetscDSSetExactSolution(prob, 1, SolKxSolutionPressure, data);
3146: break;
3147: case SOLCX:
3148: PetscDSSetExactSolution(prob, 0, SolCxSolutionVelocity, data);
3149: PetscDSSetExactSolution(prob, 1, SolCxSolutionPressure, data);
3150: break;
3151: default:
3152: SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid solution type %d (%s)", (PetscInt) user->solType, solTypes[PetscMin(user->solType, NUM_SOL_TYPES)]);
3153: }
3154: break;
3155: default:
3156: SETERRQ1(PETSC_COMM_WORLD, PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %D", dim);
3157: }
3158: /* Setup constants */
3159: {
3160: Parameter *param;
3162: PetscBagGetData(user->bag, (void **) ¶m);
3163: switch (user->solType) {
3164: case SOLKX:
3165: {
3166: PetscScalar constants[3];
3168: constants[0] = param->m;
3169: constants[1] = param->n;
3170: constants[2] = param->B;
3171: PetscDSSetConstants(prob, 3, constants);
3172: }
3173: break;
3174: case SOLCX:
3175: {
3176: PetscScalar constants[5];
3178: constants[0] = param->m;
3179: constants[1] = param->n;
3180: constants[2] = param->etaA;
3181: constants[3] = param->etaB;
3182: constants[4] = param->xc;
3183: PetscDSSetConstants(prob, 5, constants);
3184: }
3185: break;
3186: default: SETERRQ1(PETSC_COMM_WORLD, PETSC_ERR_SUP, "No parameter information for solution type %d", user->solType);
3187: }
3188: }
3189: /* Setup Boundary Conditions */
3190: PetscDSGetExactSolution(prob, 0, &exactFunc, (void **) &ctx);
3191: comp = 1;
3192: DMGetLabel(dm, "markerBottom", &label);
3193: DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallB", label, 1, &id, 0, 1, &comp, (void (*)(void)) exactFunc, NULL, ctx, NULL);
3194: comp = 0;
3195: DMGetLabel(dm, "markerRight", &label);
3196: DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallR", label, 1, &id, 0, 1, &comp, (void (*)(void)) exactFunc, NULL, ctx, NULL);
3197: comp = 1;
3198: DMGetLabel(dm, "markerTop", &label);
3199: DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallT", label, 1, &id, 0, 1, &comp, (void (*)(void)) exactFunc, NULL, ctx, NULL);
3200: comp = 0;
3201: DMGetLabel(dm, "markerLeft", &label);
3202: DMAddBoundary(dm, DM_BC_ESSENTIAL, "wallL", label, 1, &id, 0, 1, &comp, (void (*)(void)) exactFunc, NULL, ctx, NULL);
3203: return(0);
3204: }
3206: static PetscErrorCode CreatePressureNullSpace(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullspace)
3207: {
3208: Vec vec;
3209: PetscErrorCode (*funcs[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void* ctx) = {zero, one};
3210: PetscErrorCode ierr;
3213: if (origField != 1) SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Field %D should be 1 for pressure", origField);
3214: funcs[field] = one;
3215: {
3216: PetscDS ds;
3217: DMGetDS(dm, &ds);
3218: PetscObjectViewFromOptions((PetscObject) ds, NULL, "-ds_view");
3219: }
3220: DMCreateGlobalVector(dm, &vec);
3221: DMProjectFunction(dm, 0.0, funcs, NULL, INSERT_ALL_VALUES, vec);
3222: VecNormalize(vec, NULL);
3223: MatNullSpaceCreate(PetscObjectComm((PetscObject)dm), PETSC_FALSE, 1, &vec, nullspace);
3224: VecDestroy(&vec);
3225: /* New style for field null spaces */
3226: {
3227: PetscObject pressure;
3228: MatNullSpace nullspacePres;
3230: DMGetField(dm, field, NULL, &pressure);
3231: MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullspacePres);
3232: PetscObjectCompose(pressure, "nullspace", (PetscObject) nullspacePres);
3233: MatNullSpaceDestroy(&nullspacePres);
3234: }
3235: return(0);
3236: }
3238: static PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
3239: {
3240: DM cdm = dm;
3241: PetscFE fe[2];
3242: DMPolytopeType ct;
3243: PetscInt dim, cStart;
3244: PetscBool simplex;
3248: DMGetDimension(dm, &dim);
3249: DMPlexGetHeightStratum(dm, 0, &cStart, NULL);
3250: DMPlexGetCellType(dm, cStart, &ct);
3251: simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct)+1 ? PETSC_TRUE : PETSC_FALSE;
3252: /* Create discretization of solution fields */
3253: PetscFECreateDefault(PETSC_COMM_SELF, dim, dim, simplex, "vel_", PETSC_DEFAULT, &fe[0]);
3254: PetscObjectSetName((PetscObject) fe[0], "velocity");
3255: PetscFECreateDefault(PETSC_COMM_SELF, dim, 1, simplex, "pres_", PETSC_DEFAULT, &fe[1]);
3256: PetscFECopyQuadrature(fe[0], fe[1]);
3257: PetscObjectSetName((PetscObject) fe[1], "pressure");
3258: /* Set discretization and boundary conditions for each mesh */
3259: DMSetField(dm, 0, NULL, (PetscObject) fe[0]);
3260: DMSetField(dm, 1, NULL, (PetscObject) fe[1]);
3261: DMCreateDS(dm);
3262: SetupProblem(dm, user);
3263: while (cdm) {
3264: DMCopyDisc(dm, cdm);
3265: DMSetNullSpaceConstructor(cdm, 1, CreatePressureNullSpace);
3266: DMGetCoarseDM(cdm, &cdm);
3267: }
3268: PetscFEDestroy(&fe[0]);
3269: PetscFEDestroy(&fe[1]);
3270: {
3271: PetscObject pressure;
3272: MatNullSpace nullSpacePres;
3274: DMGetField(dm, 1, NULL, &pressure);
3275: MatNullSpaceCreate(PetscObjectComm(pressure), PETSC_TRUE, 0, NULL, &nullSpacePres);
3276: PetscObjectCompose(pressure, "nullspace", (PetscObject) nullSpacePres);
3277: MatNullSpaceDestroy(&nullSpacePres);
3278: }
3279: return(0);
3280: }
3282: /* Add a vector in the nullspace to make the continuum integral 0.
3284: If int(u) = a and int(n) = b, then int(u - a/b n) = a - a/b b = 0
3285: */
3286: static void pressure(PetscInt dim, PetscInt Nf, PetscInt NfAux,
3287: const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
3288: const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
3289: PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar p[])
3290: {
3291: p[0] = u[uOff[1]];
3292: }
3293: static PetscErrorCode CorrectDiscretePressure(DM dm, MatNullSpace nullspace, Vec u, AppCtx *user)
3294: {
3295: PetscDS ds;
3296: const Vec *nullvecs;
3297: PetscScalar pintd, intc[2], intn[2];
3298: MPI_Comm comm;
3302: PetscObjectGetComm((PetscObject) dm, &comm);
3303: DMGetDS(dm, &ds);
3304: PetscDSSetObjective(ds, 1, pressure);
3305: MatNullSpaceGetVecs(nullspace, NULL, NULL, &nullvecs);
3306: VecDot(nullvecs[0], u, &pintd);
3307: if (PetscAbsScalar(pintd) > PETSC_SMALL) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Discrete integral of pressure: %g\n", (double) PetscRealPart(pintd));
3308: DMPlexComputeIntegralFEM(dm, nullvecs[0], intn, user);
3309: DMPlexComputeIntegralFEM(dm, u, intc, user);
3310: VecAXPY(u, -intc[1]/intn[1], nullvecs[0]);
3311: DMPlexComputeIntegralFEM(dm, u, intc, user);
3312: if (PetscAbsScalar(intc[1]) > PETSC_SMALL) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Continuum integral of pressure after correction: %g\n", (double) PetscRealPart(intc[1]));
3313: return(0);
3314: }
3316: static PetscErrorCode SNESConvergenceCorrectPressure(SNES snes, PetscInt it, PetscReal xnorm, PetscReal gnorm, PetscReal f, SNESConvergedReason *reason, void *user)
3317: {
3321: SNESConvergedDefault(snes, it, xnorm, gnorm, f, reason, user);
3322: if (*reason > 0) {
3323: DM dm;
3324: Mat J;
3325: Vec u;
3326: MatNullSpace nullspace;
3328: SNESGetDM(snes, &dm);
3329: SNESGetSolution(snes, &u);
3330: SNESGetJacobian(snes, &J, NULL, NULL, NULL);
3331: MatGetNullSpace(J, &nullspace);
3332: if (!nullspace) SETERRQ(PetscObjectComm((PetscObject) snes), PETSC_ERR_ARG_WRONG, "SNES Jacobian has no attached null space");
3333: CorrectDiscretePressure(dm, nullspace, u, (AppCtx *) user);
3334: }
3335: return(0);
3336: }
3338: int main(int argc, char **argv)
3339: {
3340: SNES snes; /* nonlinear solver */
3341: DM dm; /* problem definition */
3342: Vec u,r; /* solution, residual vectors */
3343: Mat J, M; /* Jacobian and preconditiong matrix */
3344: MatNullSpace nullSpace; /* May be necessary for pressure */
3345: AppCtx user; /* user-defined work context */
3346: PetscErrorCode (*initialGuess[2])(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void* ctx) = {zero, zero};
3347: PetscErrorCode ierr;
3349: PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
3350: ProcessOptions(PETSC_COMM_WORLD, &user);
3351: SNESCreate(PETSC_COMM_WORLD, &snes);
3352: CreateMesh(PETSC_COMM_WORLD, &user, &dm);
3353: SNESSetDM(snes, dm);
3354: DMSetApplicationContext(dm, &user);
3355: /* Setup problem parameters */
3356: PetscBagCreate(PETSC_COMM_WORLD, sizeof(Parameter), &user.bag);
3357: SetUpParameters(&user);
3358: /* Setup problem */
3359: SetupDiscretization(dm, &user);
3360: DMPlexCreateClosureIndex(dm, NULL);
3362: DMCreateGlobalVector(dm, &u);
3363: VecDuplicate(u, &r);
3365: DMPlexSetSNESLocalFEM(dm,&user,&user,&user);
3366: CreatePressureNullSpace(dm, 1, 1, &nullSpace);
3368: { /* set tolerances */
3369: KSP ksp;
3371: SNESGetKSP(snes, &ksp);
3372: KSPSetTolerances(ksp,1.e-2*PETSC_SMALL,PETSC_SMALL,PETSC_DEFAULT,PETSC_DEFAULT);
3373: }
3375: /* There should be a way to express this using the DM */
3376: SNESSetFromOptions(snes);
3377: SNESSetUp(snes);
3378: SNESGetJacobian(snes, &J, &M, NULL, NULL);
3379: MatSetNullSpace(J, nullSpace);
3380: PetscObjectSetOptionsPrefix((PetscObject) M, "prec_");
3381: MatSetFromOptions(M);
3382: SNESSetConvergenceTest(snes, SNESConvergenceCorrectPressure, &user, NULL);
3384: DMSNESCheckFromOptions(snes, u);
3385: DMProjectFunction(dm, 0.0, initialGuess, NULL, INSERT_VALUES, u);
3386: PetscObjectSetName((PetscObject) u, "Solution");
3387: SNESSolve(snes, NULL, u);
3388: {
3389: PetscErrorCode (*exacts[2])(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
3390: void *ectxs[2];
3391: PetscDS ds;
3392: Vec e;
3394: DMGetDS(dm, &ds);
3395: PetscDSGetExactSolution(ds, 0, &exacts[0], &ectxs[0]);
3396: PetscDSGetExactSolution(ds, 1, &exacts[1], &ectxs[1]);
3398: DMGetGlobalVector(dm, &e);
3399: PetscObjectCompose((PetscObject) e, "__Vec_bc_zero__", (PetscObject) dm);
3400: DMPlexComputeL2DiffVec(dm, 0.0, exacts, ectxs, u, e);
3401: PetscObjectSetName((PetscObject) e, "Solution Error");
3402: VecViewFromOptions(e, NULL, "-error_vec_view");
3403: PetscObjectCompose((PetscObject) e, "__Vec_bc_zero__", NULL);
3404: DMRestoreGlobalVector(dm, &e);
3405: }
3406: VecViewFromOptions(u, NULL, "-sol_vec_view");
3408: MatNullSpaceDestroy(&nullSpace);
3409: VecDestroy(&u);
3410: VecDestroy(&r);
3411: SNESDestroy(&snes);
3412: DMDestroy(&dm);
3413: PetscBagDestroy(&user.bag);
3414: PetscFinalize();
3415: return ierr;
3416: }
3418: /*TEST
3420: # 2D serial discretization tests
3421: test:
3422: suffix: p2p1
3423: requires: triangle
3424: args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3425: -snes_error_if_not_converged -dmsnes_check .001 \
3426: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3427: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3428: -fieldsplit_velocity_pc_type lu \
3429: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3430: test:
3431: suffix: p2p1_gmg
3432: requires: triangle
3433: args: -dm_plex_separate_marker -dm_refine_hierarchy 2 -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3434: -snes_error_if_not_converged -dmsnes_check .001 \
3435: -ksp_type fgmres -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3436: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3437: -fieldsplit_velocity_pc_type mg \
3438: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3439: test:
3440: suffix: p2p1_conv
3441: requires: triangle
3442: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.2]
3443: args: -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3444: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3445: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3446: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3447: -fieldsplit_velocity_pc_type lu \
3448: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3449: test:
3450: suffix: q2q1_conv
3451: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.1]
3452: args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3453: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3454: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3455: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3456: -fieldsplit_velocity_pc_type lu \
3457: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3458: test:
3459: suffix: q1p0_conv
3460: # -dm_refine 2 gives L_2 convergence rate: [2.0, 1.0]
3461: args: -dm_plex_simplex 0 -dm_plex_separate_marker -vel_petscspace_degree 1 -pres_petscspace_degree 0 \
3462: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3463: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3464: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3465: -fieldsplit_velocity_pc_type lu \
3466: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3467: test:
3468: suffix: q2p1_conv
3469: # -dm_refine 2 gives L_2 convergence rate: [3.0, 2.0]
3470: args: -dm_plex_simplex 0 -dm_plex_separate_marker \
3471: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 \
3472: -snes_error_if_not_converged -snes_convergence_estimate -convest_num_refine 2 \
3473: -ksp_rtol 1.e-9 -ksp_error_if_not_converged -pc_use_amat \
3474: -pc_type fieldsplit -pc_fieldsplit_type schur -pc_fieldsplit_schur_factorization_type full -pc_fieldsplit_schur_precondition a11 \
3475: -fieldsplit_velocity_pc_type lu \
3476: -fieldsplit_pressure_ksp_rtol 1.e-9 -fieldsplit_pressure_pc_type lu
3478: # FETI-DP tests
3479: testset:
3480: output_file: output/ex69_q2p1fetidp.out
3481: suffix: q2p1fetidp
3482: requires: !single
3483: nsize: 5
3484: args: -dm_distribute -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3485: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3486: -snes_error_if_not_converged \
3487: -ksp_error_if_not_converged \
3488: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3489: -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
3490: test:
3491: suffix: aij
3492: args: -matis_localmat_type aij
3493: test:
3494: requires: viennacl !CUDA_VERSION_11PLUS
3495: suffix: aijviennacl
3496: args: -matis_localmat_type aijviennacl
3497: test:
3498: requires: cuda
3499: suffix: aijcusparse
3500: args: -matis_localmat_type aijcusparse
3502: testset:
3503: suffix: q2p1fetidp_deluxe
3504: output_file: output/ex69_q2p1fetidp_deluxe.out
3505: requires: mumps double
3506: nsize: 5
3507: args: -dm_distribute -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3508: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3509: -snes_error_if_not_converged \
3510: -ksp_error_if_not_converged \
3511: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3512: -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 \
3513: -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
3514: test:
3515: suffix: aij
3516: args: -matis_localmat_type aij
3517: test:
3518: suffix: aij_seqdense
3519: args: -matis_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
3520: test:
3521: requires: viennacl !CUDA_VERSION_11PLUS
3522: suffix: aijviennacl
3523: args: -matis_localmat_type aijviennacl
3524: test:
3525: requires: cuda
3526: suffix: aijcusparse
3527: args: -matis_localmat_type aijcusparse
3529: testset:
3530: suffix: q2p1fetidp_deluxe_adaptive
3531: output_file: output/ex69_q2p1fetidp_deluxe_adaptive.out
3532: requires: mumps double
3533: nsize: 5
3534: args: -dm_distribute -dm_plex_simplex 0 -dm_plex_separate_marker -dm_refine_pre 1 -dm_mat_type is -dm_view -petscpartitioner_type simple \
3535: -vel_petscspace_degree 2 -pres_petscspace_degree 1 -pres_petscspace_poly_tensor 0 -pres_petscdualspace_lagrange_continuity 0 -pres_petscdualspace_lagrange_node_endpoints 0 \
3536: -snes_error_if_not_converged \
3537: -ksp_error_if_not_converged \
3538: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural \
3539: -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 \
3540: -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
3541: test:
3542: suffix: aij
3543: args: -matis_localmat_type aij
3544: test:
3545: suffix: aij_seqdense
3546: args: -matis_localmat_type aij -fetidp_bddc_sub_schurs_schur_mat_type seqdense
3547: test:
3548: requires: viennacl !CUDA_VERSION_11PLUS
3549: suffix: aijviennacl
3550: args: -matis_localmat_type aijviennacl
3551: test:
3552: requires: cuda
3553: suffix: aijcusparse
3554: args: -matis_localmat_type aijcusparse
3556: test:
3557: suffix: p2p1fetidp
3558: requires: triangle
3559: nsize: 4
3560: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3561: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3562: -snes_error_if_not_converged \
3563: -ksp_error_if_not_converged \
3564: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3565: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3566: -fetidp_fieldsplit_lag_ksp_type preonly \
3567: -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
3569: test:
3570: suffix: p2p1fetidp_allp
3571: requires: triangle
3572: nsize: 4
3573: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3574: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3575: -snes_error_if_not_converged \
3576: -ksp_error_if_not_converged \
3577: -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 \
3578: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3579: -fetidp_fieldsplit_lag_ksp_type preonly \
3580: -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
3582: test:
3583: suffix: p2p1fetidp_discharm
3584: requires: triangle
3585: nsize: 4
3586: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3587: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3588: -snes_error_if_not_converged \
3589: -ksp_error_if_not_converged \
3590: -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 \
3591: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3592: -fetidp_fieldsplit_lag_ksp_type preonly \
3593: -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
3595: test:
3596: suffix: p2p1fetidp_lumped
3597: requires: triangle
3598: nsize: 4
3599: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3600: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3601: -snes_error_if_not_converged \
3602: -ksp_error_if_not_converged \
3603: -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 \
3604: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3605: -fetidp_fieldsplit_lag_ksp_type preonly \
3606: -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
3608: test:
3609: suffix: p2p1fetidp_deluxe
3610: requires: triangle mumps
3611: nsize: 4
3612: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3613: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3614: -snes_error_if_not_converged \
3615: -ksp_error_if_not_converged \
3616: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3617: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3618: -fetidp_fieldsplit_lag_ksp_type preonly \
3619: -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 \
3620: -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_sub_schurs_posdef 0
3622: test:
3623: suffix: p2p1fetidp_deluxe_discharm
3624: requires: triangle mumps
3625: nsize: 4
3626: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3627: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3628: -snes_error_if_not_converged \
3629: -ksp_error_if_not_converged \
3630: -ksp_type fetidp -ksp_fetidp_saddlepoint -fetidp_ksp_type cg -fetidp_ksp_norm_type natural -fetidp_pc_fieldsplit_schur_fact_type diag \
3631: -fetidp_fieldsplit_p_pc_type jacobi -fetidp_fieldsplit_p_ksp_type preonly \
3632: -fetidp_fieldsplit_lag_ksp_type preonly \
3633: -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 \
3634: -fetidp_bddc_sub_schurs_mat_mumps_icntl_14 500 -fetidp_bddc_sub_schurs_posdef 0 -fetidp_bddc_sub_schurs_discrete_harmonic
3636: testset:
3637: nsize: 4
3638: requires: triangle
3639: output_file: output/ex69_p2p1fetidp_olof.out
3640: args: -dm_distribute -dm_plex_separate_marker -dm_refine_pre 2 -dm_refine_uniform_pre -dm_mat_type is -dm_view -petscpartitioner_type simple \
3641: -vel_petscspace_degree 2 -pres_petscspace_degree 1 \
3642: -snes_error_if_not_converged \
3643: -ksp_error_if_not_converged \
3644: -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 \
3645: -fetidp_fieldsplit_p_pc_type bddc -fetidp_fieldsplit_p_pc_bddc_dirichlet_pc_type none -fetidp_fieldsplit_p_ksp_type preonly \
3646: -fetidp_fieldsplit_lag_ksp_error_if_not_converged 0 -fetidp_fieldsplit_lag_ksp_type chebyshev -fetidp_fieldsplit_lag_ksp_max_it 2 \
3647: -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
3648: test:
3649: suffix: p2p1fetidp_olof_full
3650: args: -fetidp_pc_fieldsplit_schur_fact_type full
3651: test:
3652: suffix: p2p1fetidp_olof_diag
3653: args: -fetidp_pc_fieldsplit_schur_fact_type diag
3654: test:
3655: suffix: p2p1fetidp_olof_additive
3656: args: -fetidp_pc_fieldsplit_type additive
3658: #BDDC with benign trick
3659: testset:
3660: suffix: q2p1bddc
3661: output_file: output/ex69_q2p1fetidp_deluxe.out
3662: nsize: 5
3663: args: -dm_distribute -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
3664: test:
3665: requires: double
3666: suffix: benign_card
3667: # no native support for saddle point factorizations from PETSc
3668: args: -pc_bddc_dirichlet_pc_type svd -pc_bddc_neumann_pc_type svd
3669: test:
3670: requires: mumps double
3671: suffix: benign_deluxe_mumps
3672: args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mumps -sub_schurs_mat_mumps_icntl_14 1000
3673: test:
3674: requires: mumps double
3675: suffix: benign_deluxe_adaptive_mumps
3676: 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
3677: test:
3678: TODO: broken (INDEFINITE PC)
3679: requires: mkl_pardiso double
3680: suffix: benign_deluxe_mkl
3681: args: -pc_bddc_use_deluxe_scaling -pc_bddc_deluxe_zerorows -sub_schurs_mat_solver_type mkl_pardiso -snes_rtol 1.e-7
3682: test:
3683: TODO: broken (INDEFINITE PC)
3684: requires: mkl_pardiso double
3685: suffix: benign_deluxe_adaptive_mkl
3686: 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
3688: TEST*/