1 #include <petsc-private/dmpleximpl.h> /*I "petscdmplex.h" I*/ 2 3 #undef __FUNCT__ 4 #define __FUNCT__ "DMPlexLocatePoint_Simplex_2D_Internal" 5 static PetscErrorCode DMPlexLocatePoint_Simplex_2D_Internal(DM dm, const PetscScalar point[], PetscInt c, PetscInt *cell) 6 { 7 const PetscInt embedDim = 2; 8 PetscReal x = PetscRealPart(point[0]); 9 PetscReal y = PetscRealPart(point[1]); 10 PetscReal v0[2], J[4], invJ[4], detJ; 11 PetscReal xi, eta; 12 PetscErrorCode ierr; 13 14 PetscFunctionBegin; 15 ierr = DMPlexComputeCellGeometry(dm, c, v0, J, invJ, &detJ);CHKERRQ(ierr); 16 xi = invJ[0*embedDim+0]*(x - v0[0]) + invJ[0*embedDim+1]*(y - v0[1]); 17 eta = invJ[1*embedDim+0]*(x - v0[0]) + invJ[1*embedDim+1]*(y - v0[1]); 18 19 if ((xi >= 0.0) && (eta >= 0.0) && (xi + eta <= 2.0)) *cell = c; 20 else *cell = -1; 21 PetscFunctionReturn(0); 22 } 23 24 #undef __FUNCT__ 25 #define __FUNCT__ "DMPlexLocatePoint_General_2D_Internal" 26 static PetscErrorCode DMPlexLocatePoint_General_2D_Internal(DM dm, const PetscScalar point[], PetscInt c, PetscInt *cell) 27 { 28 PetscSection coordSection; 29 Vec coordsLocal; 30 PetscScalar *coords; 31 const PetscInt faces[8] = {0, 1, 1, 2, 2, 3, 3, 0}; 32 PetscReal x = PetscRealPart(point[0]); 33 PetscReal y = PetscRealPart(point[1]); 34 PetscInt crossings = 0, f; 35 PetscErrorCode ierr; 36 37 PetscFunctionBegin; 38 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 39 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 40 ierr = DMPlexVecGetClosure(dm, coordSection, coordsLocal, c, NULL, &coords);CHKERRQ(ierr); 41 for (f = 0; f < 4; ++f) { 42 PetscReal x_i = PetscRealPart(coords[faces[2*f+0]*2+0]); 43 PetscReal y_i = PetscRealPart(coords[faces[2*f+0]*2+1]); 44 PetscReal x_j = PetscRealPart(coords[faces[2*f+1]*2+0]); 45 PetscReal y_j = PetscRealPart(coords[faces[2*f+1]*2+1]); 46 PetscReal slope = (y_j - y_i) / (x_j - x_i); 47 PetscBool cond1 = (x_i <= x) && (x < x_j) ? PETSC_TRUE : PETSC_FALSE; 48 PetscBool cond2 = (x_j <= x) && (x < x_i) ? PETSC_TRUE : PETSC_FALSE; 49 PetscBool above = (y < slope * (x - x_i) + y_i) ? PETSC_TRUE : PETSC_FALSE; 50 if ((cond1 || cond2) && above) ++crossings; 51 } 52 if (crossings % 2) *cell = c; 53 else *cell = -1; 54 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordsLocal, c, NULL, &coords);CHKERRQ(ierr); 55 PetscFunctionReturn(0); 56 } 57 58 #undef __FUNCT__ 59 #define __FUNCT__ "DMPlexLocatePoint_Simplex_3D_Internal" 60 static PetscErrorCode DMPlexLocatePoint_Simplex_3D_Internal(DM dm, const PetscScalar point[], PetscInt c, PetscInt *cell) 61 { 62 const PetscInt embedDim = 3; 63 PetscReal v0[3], J[9], invJ[9], detJ; 64 PetscReal x = PetscRealPart(point[0]); 65 PetscReal y = PetscRealPart(point[1]); 66 PetscReal z = PetscRealPart(point[2]); 67 PetscReal xi, eta, zeta; 68 PetscErrorCode ierr; 69 70 PetscFunctionBegin; 71 ierr = DMPlexComputeCellGeometry(dm, c, v0, J, invJ, &detJ);CHKERRQ(ierr); 72 xi = invJ[0*embedDim+0]*(x - v0[0]) + invJ[0*embedDim+1]*(y - v0[1]) + invJ[0*embedDim+2]*(z - v0[2]); 73 eta = invJ[1*embedDim+0]*(x - v0[0]) + invJ[1*embedDim+1]*(y - v0[1]) + invJ[1*embedDim+2]*(z - v0[2]); 74 zeta = invJ[2*embedDim+0]*(x - v0[0]) + invJ[2*embedDim+1]*(y - v0[1]) + invJ[2*embedDim+2]*(z - v0[2]); 75 76 if ((xi >= 0.0) && (eta >= 0.0) && (zeta >= 0.0) && (xi + eta + zeta <= 2.0)) *cell = c; 77 else *cell = -1; 78 PetscFunctionReturn(0); 79 } 80 81 #undef __FUNCT__ 82 #define __FUNCT__ "DMPlexLocatePoint_General_3D_Internal" 83 static PetscErrorCode DMPlexLocatePoint_General_3D_Internal(DM dm, const PetscScalar point[], PetscInt c, PetscInt *cell) 84 { 85 PetscSection coordSection; 86 Vec coordsLocal; 87 PetscScalar *coords; 88 const PetscInt faces[24] = {0, 1, 2, 3, 5, 4, 7, 6, 1, 0, 4, 5, 89 3, 2, 6, 7, 1, 5, 6, 2, 0, 3, 7, 4}; 90 PetscBool found = PETSC_TRUE; 91 PetscInt f; 92 PetscErrorCode ierr; 93 94 PetscFunctionBegin; 95 ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr); 96 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 97 ierr = DMPlexVecGetClosure(dm, coordSection, coordsLocal, c, NULL, &coords);CHKERRQ(ierr); 98 for (f = 0; f < 6; ++f) { 99 /* Check the point is under plane */ 100 /* Get face normal */ 101 PetscReal v_i[3]; 102 PetscReal v_j[3]; 103 PetscReal normal[3]; 104 PetscReal pp[3]; 105 PetscReal dot; 106 107 v_i[0] = PetscRealPart(coords[faces[f*4+3]*3+0]-coords[faces[f*4+0]*3+0]); 108 v_i[1] = PetscRealPart(coords[faces[f*4+3]*3+1]-coords[faces[f*4+0]*3+1]); 109 v_i[2] = PetscRealPart(coords[faces[f*4+3]*3+2]-coords[faces[f*4+0]*3+2]); 110 v_j[0] = PetscRealPart(coords[faces[f*4+1]*3+0]-coords[faces[f*4+0]*3+0]); 111 v_j[1] = PetscRealPart(coords[faces[f*4+1]*3+1]-coords[faces[f*4+0]*3+1]); 112 v_j[2] = PetscRealPart(coords[faces[f*4+1]*3+2]-coords[faces[f*4+0]*3+2]); 113 normal[0] = v_i[1]*v_j[2] - v_i[2]*v_j[1]; 114 normal[1] = v_i[2]*v_j[0] - v_i[0]*v_j[2]; 115 normal[2] = v_i[0]*v_j[1] - v_i[1]*v_j[0]; 116 pp[0] = PetscRealPart(coords[faces[f*4+0]*3+0] - point[0]); 117 pp[1] = PetscRealPart(coords[faces[f*4+0]*3+1] - point[1]); 118 pp[2] = PetscRealPart(coords[faces[f*4+0]*3+2] - point[2]); 119 dot = normal[0]*pp[0] + normal[1]*pp[1] + normal[2]*pp[2]; 120 121 /* Check that projected point is in face (2D location problem) */ 122 if (dot < 0.0) { 123 found = PETSC_FALSE; 124 break; 125 } 126 } 127 if (found) *cell = c; 128 else *cell = -1; 129 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordsLocal, c, NULL, &coords);CHKERRQ(ierr); 130 PetscFunctionReturn(0); 131 } 132 133 #undef __FUNCT__ 134 #define __FUNCT__ "DMLocatePoints_Plex" 135 /* 136 Need to implement using the guess 137 */ 138 PetscErrorCode DMLocatePoints_Plex(DM dm, Vec v, IS *cellIS) 139 { 140 PetscInt cell = -1 /*, guess = -1*/; 141 PetscInt bs, numPoints, p; 142 PetscInt dim, cStart, cEnd, cMax, c, coneSize; 143 PetscInt *cells; 144 PetscScalar *a; 145 PetscErrorCode ierr; 146 147 PetscFunctionBegin; 148 ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr); 149 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 150 ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr); 151 if (cMax >= 0) cEnd = PetscMin(cEnd, cMax); 152 ierr = VecGetLocalSize(v, &numPoints);CHKERRQ(ierr); 153 ierr = VecGetBlockSize(v, &bs);CHKERRQ(ierr); 154 ierr = VecGetArray(v, &a);CHKERRQ(ierr); 155 if (bs != dim) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Block size for point vector %d must be the mesh coordinate dimension %d", bs, dim); 156 numPoints /= bs; 157 ierr = PetscMalloc(numPoints * sizeof(PetscInt), &cells);CHKERRQ(ierr); 158 for (p = 0; p < numPoints; ++p) { 159 const PetscScalar *point = &a[p*bs]; 160 161 switch (dim) { 162 case 2: 163 for (c = cStart; c < cEnd; ++c) { 164 ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr); 165 switch (coneSize) { 166 case 3: 167 ierr = DMPlexLocatePoint_Simplex_2D_Internal(dm, point, c, &cell);CHKERRQ(ierr); 168 break; 169 case 4: 170 ierr = DMPlexLocatePoint_General_2D_Internal(dm, point, c, &cell);CHKERRQ(ierr); 171 break; 172 default: 173 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "No point location for cell with cone size %d", coneSize); 174 } 175 if (cell >= 0) break; 176 } 177 break; 178 case 3: 179 for (c = cStart; c < cEnd; ++c) { 180 ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr); 181 switch (coneSize) { 182 case 4: 183 ierr = DMPlexLocatePoint_Simplex_3D_Internal(dm, point, c, &cell);CHKERRQ(ierr); 184 break; 185 case 8: 186 ierr = DMPlexLocatePoint_General_3D_Internal(dm, point, c, &cell);CHKERRQ(ierr); 187 break; 188 default: 189 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "No point location for cell with cone size %d", coneSize); 190 } 191 if (cell >= 0) break; 192 } 193 break; 194 default: 195 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "No point location for mesh dimension %d", dim); 196 } 197 cells[p] = cell; 198 } 199 ierr = VecRestoreArray(v, &a);CHKERRQ(ierr); 200 ierr = ISCreateGeneral(PETSC_COMM_SELF, numPoints, cells, PETSC_OWN_POINTER, cellIS);CHKERRQ(ierr); 201 PetscFunctionReturn(0); 202 } 203 204 #undef __FUNCT__ 205 #define __FUNCT__ "DMPlexComputeProjection2Dto1D_Internal" 206 /* 207 DMPlexComputeProjection2Dto1D_Internal - Rewrite coordinates to be the 1D projection of the 2D 208 */ 209 static PetscErrorCode DMPlexComputeProjection2Dto1D_Internal(PetscScalar coords[], PetscReal R[]) 210 { 211 const PetscReal x = PetscRealPart(coords[2] - coords[0]); 212 const PetscReal y = PetscRealPart(coords[3] - coords[1]); 213 const PetscReal r = sqrt(x*x + y*y), c = x/r, s = y/r; 214 215 PetscFunctionBegin; 216 R[0] = c; R[1] = s; 217 R[2] = -s; R[3] = c; 218 coords[0] = 0.0; 219 coords[1] = r; 220 PetscFunctionReturn(0); 221 } 222 223 #undef __FUNCT__ 224 #define __FUNCT__ "DMPlexComputeProjection3Dto2D_Internal" 225 /* 226 DMPlexComputeProjection3Dto2D_Internal - Rewrite coordinates to be the 2D projection of the 3D 227 */ 228 static PetscErrorCode DMPlexComputeProjection3Dto2D_Internal(PetscInt coordSize, PetscScalar coords[], PetscReal R[]) 229 { 230 PetscReal x1[3], x2[3], n[3], norm; 231 PetscReal x1p[3], x2p[3], xnp[3]; 232 PetscReal sqrtz, alpha; 233 const PetscInt dim = 3; 234 PetscInt d, e, p; 235 236 PetscFunctionBegin; 237 /* 0) Calculate normal vector */ 238 for (d = 0; d < dim; ++d) { 239 x1[d] = PetscRealPart(coords[1*dim+d] - coords[0*dim+d]); 240 x2[d] = PetscRealPart(coords[2*dim+d] - coords[0*dim+d]); 241 } 242 n[0] = x1[1]*x2[2] - x1[2]*x2[1]; 243 n[1] = x1[2]*x2[0] - x1[0]*x2[2]; 244 n[2] = x1[0]*x2[1] - x1[1]*x2[0]; 245 norm = sqrt(n[0]*n[0] + n[1]*n[1] + n[2]*n[2]); 246 n[0] /= norm; 247 n[1] /= norm; 248 n[2] /= norm; 249 /* 1) Take the normal vector and rotate until it is \hat z 250 251 Let the normal vector be <nx, ny, nz> and alpha = 1/sqrt(1 - nz^2), then 252 253 R = / alpha nx nz alpha ny nz -1/alpha \ 254 | -alpha ny alpha nx 0 | 255 \ nx ny nz / 256 257 will rotate the normal vector to \hat z 258 */ 259 sqrtz = sqrt(1.0 - n[2]*n[2]); 260 /* Check for n = z */ 261 if (sqrtz < 1.0e-10) { 262 if (n[2] < 0.0) { 263 if (coordSize > 9) { 264 coords[2] = PetscRealPart(coords[3*dim+0] - coords[0*dim+0]); 265 coords[3] = PetscRealPart(coords[3*dim+0] - coords[0*dim+0]); 266 coords[4] = x2[0]; 267 coords[5] = x2[1]; 268 coords[6] = x1[0]; 269 coords[7] = x1[1]; 270 } else { 271 coords[2] = x2[0]; 272 coords[3] = x2[1]; 273 coords[4] = x1[0]; 274 coords[5] = x1[1]; 275 } 276 R[0] = 1.0; R[1] = 0.0; R[2] = 0.0; 277 R[3] = 0.0; R[4] = 1.0; R[5] = 0.0; 278 R[6] = 0.0; R[7] = 0.0; R[8] = -1.0; 279 } else { 280 for (p = 3; p < coordSize/3; ++p) { 281 coords[p*2+0] = PetscRealPart(coords[p*dim+0] - coords[0*dim+0]); 282 coords[p*2+1] = PetscRealPart(coords[p*dim+1] - coords[0*dim+1]); 283 } 284 coords[2] = x1[0]; 285 coords[3] = x1[1]; 286 coords[4] = x2[0]; 287 coords[5] = x2[1]; 288 R[0] = 1.0; R[1] = 0.0; R[2] = 0.0; 289 R[3] = 0.0; R[4] = 1.0; R[5] = 0.0; 290 R[6] = 0.0; R[7] = 0.0; R[8] = 1.0; 291 } 292 coords[0] = 0.0; 293 coords[1] = 0.0; 294 PetscFunctionReturn(0); 295 } 296 alpha = 1.0/sqrtz; 297 R[0] = alpha*n[0]*n[2]; R[1] = alpha*n[1]*n[2]; R[2] = -sqrtz; 298 R[3] = -alpha*n[1]; R[4] = alpha*n[0]; R[5] = 0.0; 299 R[6] = n[0]; R[7] = n[1]; R[8] = n[2]; 300 for (d = 0; d < dim; ++d) { 301 x1p[d] = 0.0; 302 x2p[d] = 0.0; 303 for (e = 0; e < dim; ++e) { 304 x1p[d] += R[d*dim+e]*x1[e]; 305 x2p[d] += R[d*dim+e]*x2[e]; 306 } 307 } 308 if (PetscAbsReal(x1p[2]) > 1.0e-9) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid rotation calculated"); 309 if (PetscAbsReal(x2p[2]) > 1.0e-9) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid rotation calculated"); 310 /* 2) Project to (x, y) */ 311 for (p = 3; p < coordSize/3; ++p) { 312 for (d = 0; d < dim; ++d) { 313 xnp[d] = 0.0; 314 for (e = 0; e < dim; ++e) { 315 xnp[d] += R[d*dim+e]*PetscRealPart(coords[p*dim+e] - coords[0*dim+e]); 316 } 317 if (d < dim-1) coords[p*2+d] = xnp[d]; 318 } 319 } 320 coords[0] = 0.0; 321 coords[1] = 0.0; 322 coords[2] = x1p[0]; 323 coords[3] = x1p[1]; 324 coords[4] = x2p[0]; 325 coords[5] = x2p[1]; 326 /* Output R^T which rotates \hat z to the input normal */ 327 for (d = 0; d < dim; ++d) { 328 for (e = d+1; e < dim; ++e) { 329 PetscReal tmp; 330 331 tmp = R[d*dim+e]; 332 R[d*dim+e] = R[e*dim+d]; 333 R[e*dim+d] = tmp; 334 } 335 } 336 PetscFunctionReturn(0); 337 } 338 339 #undef __FUNCT__ 340 #define __FUNCT__ "Invert2D_Internal" 341 PETSC_STATIC_INLINE void Invert2D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ) 342 { 343 const PetscReal invDet = 1.0/detJ; 344 345 invJ[0] = invDet*J[3]; 346 invJ[1] = -invDet*J[1]; 347 invJ[2] = -invDet*J[2]; 348 invJ[3] = invDet*J[0]; 349 PetscLogFlops(5.0); 350 } 351 352 #undef __FUNCT__ 353 #define __FUNCT__ "Invert3D_Internal" 354 PETSC_STATIC_INLINE void Invert3D_Internal(PetscReal invJ[], PetscReal J[], PetscReal detJ) 355 { 356 const PetscReal invDet = 1.0/detJ; 357 358 invJ[0*3+0] = invDet*(J[1*3+1]*J[2*3+2] - J[1*3+2]*J[2*3+1]); 359 invJ[0*3+1] = invDet*(J[0*3+2]*J[2*3+1] - J[0*3+1]*J[2*3+2]); 360 invJ[0*3+2] = invDet*(J[0*3+1]*J[1*3+2] - J[0*3+2]*J[1*3+1]); 361 invJ[1*3+0] = invDet*(J[1*3+2]*J[2*3+0] - J[1*3+0]*J[2*3+2]); 362 invJ[1*3+1] = invDet*(J[0*3+0]*J[2*3+2] - J[0*3+2]*J[2*3+0]); 363 invJ[1*3+2] = invDet*(J[0*3+2]*J[1*3+0] - J[0*3+0]*J[1*3+2]); 364 invJ[2*3+0] = invDet*(J[1*3+0]*J[2*3+1] - J[1*3+1]*J[2*3+0]); 365 invJ[2*3+1] = invDet*(J[0*3+1]*J[2*3+0] - J[0*3+0]*J[2*3+1]); 366 invJ[2*3+2] = invDet*(J[0*3+0]*J[1*3+1] - J[0*3+1]*J[1*3+0]); 367 PetscLogFlops(37.0); 368 } 369 370 #undef __FUNCT__ 371 #define __FUNCT__ "Det2D_Internal" 372 PETSC_STATIC_INLINE void Det2D_Internal(PetscReal *detJ, PetscReal J[]) 373 { 374 *detJ = J[0]*J[3] - J[1]*J[2]; 375 PetscLogFlops(3.0); 376 } 377 378 #undef __FUNCT__ 379 #define __FUNCT__ "Det3D_Internal" 380 PETSC_STATIC_INLINE void Det3D_Internal(PetscReal *detJ, PetscReal J[]) 381 { 382 *detJ = (J[0*3+0]*(J[1*3+1]*J[2*3+2] - J[1*3+2]*J[2*3+1]) + 383 J[0*3+1]*(J[1*3+2]*J[2*3+0] - J[1*3+0]*J[2*3+2]) + 384 J[0*3+2]*(J[1*3+0]*J[2*3+1] - J[1*3+1]*J[2*3+0])); 385 PetscLogFlops(12.0); 386 } 387 388 #undef __FUNCT__ 389 #define __FUNCT__ "Volume_Triangle_Internal" 390 PETSC_STATIC_INLINE void Volume_Triangle_Internal(PetscReal *vol, PetscReal coords[]) 391 { 392 /* Signed volume is 1/2 the determinant 393 394 | 1 1 1 | 395 | x0 x1 x2 | 396 | y0 y1 y2 | 397 398 but if x0,y0 is the origin, we have 399 400 | x1 x2 | 401 | y1 y2 | 402 */ 403 const PetscReal x1 = coords[2] - coords[0], y1 = coords[3] - coords[1]; 404 const PetscReal x2 = coords[4] - coords[0], y2 = coords[5] - coords[1]; 405 PetscReal M[4], detM; 406 M[0] = x1; M[1] = x2; 407 M[2] = y1; M[3] = y2; 408 Det2D_Internal(&detM, M); 409 *vol = 0.5*detM; 410 PetscLogFlops(5.0); 411 } 412 413 #undef __FUNCT__ 414 #define __FUNCT__ "Volume_Triangle_Origin_Internal" 415 PETSC_STATIC_INLINE void Volume_Triangle_Origin_Internal(PetscReal *vol, PetscReal coords[]) 416 { 417 Det2D_Internal(vol, coords); 418 *vol *= 0.5; 419 } 420 421 #undef __FUNCT__ 422 #define __FUNCT__ "Volume_Tetrahedron_Internal" 423 PETSC_STATIC_INLINE void Volume_Tetrahedron_Internal(PetscReal *vol, PetscReal coords[]) 424 { 425 /* Signed volume is 1/6th of the determinant 426 427 | 1 1 1 1 | 428 | x0 x1 x2 x3 | 429 | y0 y1 y2 y3 | 430 | z0 z1 z2 z3 | 431 432 but if x0,y0,z0 is the origin, we have 433 434 | x1 x2 x3 | 435 | y1 y2 y3 | 436 | z1 z2 z3 | 437 */ 438 const PetscReal x1 = coords[3] - coords[0], y1 = coords[4] - coords[1], z1 = coords[5] - coords[2]; 439 const PetscReal x2 = coords[6] - coords[0], y2 = coords[7] - coords[1], z2 = coords[8] - coords[2]; 440 const PetscReal x3 = coords[9] - coords[0], y3 = coords[10] - coords[1], z3 = coords[11] - coords[2]; 441 PetscReal M[9], detM; 442 M[0] = x1; M[1] = x2; M[2] = x3; 443 M[3] = y1; M[4] = y2; M[5] = y3; 444 M[6] = z1; M[7] = z2; M[8] = z3; 445 Det3D_Internal(&detM, M); 446 *vol = -0.16666666666666666666666*detM; 447 PetscLogFlops(10.0); 448 } 449 450 #undef __FUNCT__ 451 #define __FUNCT__ "Volume_Tetrahedron_Origin_Internal" 452 PETSC_STATIC_INLINE void Volume_Tetrahedron_Origin_Internal(PetscReal *vol, PetscReal coords[]) 453 { 454 Det3D_Internal(vol, coords); 455 *vol *= -0.16666666666666666666666; 456 } 457 458 #undef __FUNCT__ 459 #define __FUNCT__ "DMPlexComputeLineGeometry_Internal" 460 static PetscErrorCode DMPlexComputeLineGeometry_Internal(DM dm, PetscInt e, PetscReal v0[], PetscReal J[], PetscReal invJ[], PetscReal *detJ) 461 { 462 PetscSection coordSection; 463 Vec coordinates; 464 PetscScalar *coords; 465 PetscInt numCoords, d; 466 PetscErrorCode ierr; 467 468 PetscFunctionBegin; 469 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 470 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 471 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 472 *detJ = 0.0; 473 if (numCoords == 4) { 474 const PetscInt dim = 2; 475 PetscReal R[4], J0; 476 477 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 478 ierr = DMPlexComputeProjection2Dto1D_Internal(coords, R);CHKERRQ(ierr); 479 if (J) { 480 J0 = 0.5*PetscRealPart(coords[1]); 481 J[0] = R[0]*J0; J[1] = R[1]; 482 J[2] = R[2]*J0; J[3] = R[3]; 483 Det2D_Internal(detJ, J); 484 } 485 if (invJ) {Invert2D_Internal(invJ, J, *detJ);} 486 } else if (numCoords == 2) { 487 const PetscInt dim = 1; 488 489 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 490 if (J) { 491 J[0] = 0.5*(PetscRealPart(coords[1]) - PetscRealPart(coords[0])); 492 *detJ = J[0]; 493 PetscLogFlops(2.0); 494 } 495 if (invJ) {invJ[0] = 1.0/J[0]; PetscLogFlops(1.0);} 496 } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The number of coordinates for this segment is %d != 2", numCoords); 497 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 498 PetscFunctionReturn(0); 499 } 500 501 #undef __FUNCT__ 502 #define __FUNCT__ "DMPlexComputeTriangleGeometry_Internal" 503 static PetscErrorCode DMPlexComputeTriangleGeometry_Internal(DM dm, PetscInt e, PetscReal v0[], PetscReal J[], PetscReal invJ[], PetscReal *detJ) 504 { 505 PetscSection coordSection; 506 Vec coordinates; 507 PetscScalar *coords; 508 PetscInt numCoords, d, f, g; 509 PetscErrorCode ierr; 510 511 PetscFunctionBegin; 512 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 513 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 514 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 515 *detJ = 0.0; 516 if (numCoords == 9) { 517 const PetscInt dim = 3; 518 PetscReal R[9], J0[9] = {1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0}; 519 520 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 521 ierr = DMPlexComputeProjection3Dto2D_Internal(numCoords, coords, R);CHKERRQ(ierr); 522 if (J) { 523 const PetscInt pdim = 2; 524 525 for (d = 0; d < pdim; d++) { 526 for (f = 0; f < pdim; f++) { 527 J0[d*dim+f] = 0.5*(PetscRealPart(coords[(f+1)*pdim+d]) - PetscRealPart(coords[0*pdim+d])); 528 } 529 } 530 PetscLogFlops(8.0); 531 Det3D_Internal(detJ, J0); 532 for (d = 0; d < dim; d++) { 533 for (f = 0; f < dim; f++) { 534 J[d*dim+f] = 0.0; 535 for (g = 0; g < dim; g++) { 536 J[d*dim+f] += R[d*dim+g]*J0[g*dim+f]; 537 } 538 } 539 } 540 PetscLogFlops(18.0); 541 } 542 if (invJ) {Invert3D_Internal(invJ, J, *detJ);} 543 } else if (numCoords == 6) { 544 const PetscInt dim = 2; 545 546 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 547 if (J) { 548 for (d = 0; d < dim; d++) { 549 for (f = 0; f < dim; f++) { 550 J[d*dim+f] = 0.5*(PetscRealPart(coords[(f+1)*dim+d]) - PetscRealPart(coords[0*dim+d])); 551 } 552 } 553 PetscLogFlops(8.0); 554 Det2D_Internal(detJ, J); 555 } 556 if (invJ) {Invert2D_Internal(invJ, J, *detJ);} 557 } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The number of coordinates for this triangle is %d != 6", numCoords); 558 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 559 PetscFunctionReturn(0); 560 } 561 562 #undef __FUNCT__ 563 #define __FUNCT__ "DMPlexComputeRectangleGeometry_Internal" 564 static PetscErrorCode DMPlexComputeRectangleGeometry_Internal(DM dm, PetscInt e, PetscReal v0[], PetscReal J[], PetscReal invJ[], PetscReal *detJ) 565 { 566 PetscSection coordSection; 567 Vec coordinates; 568 PetscScalar *coords; 569 PetscInt numCoords, d, f, g; 570 PetscErrorCode ierr; 571 572 PetscFunctionBegin; 573 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 574 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 575 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 576 *detJ = 0.0; 577 if (numCoords == 12) { 578 const PetscInt dim = 3; 579 PetscReal R[9], J0[9] = {1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0}; 580 581 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 582 ierr = DMPlexComputeProjection3Dto2D_Internal(numCoords, coords, R);CHKERRQ(ierr); 583 if (J) { 584 const PetscInt pdim = 2; 585 586 for (d = 0; d < pdim; d++) { 587 J0[d*dim+0] = 0.5*(PetscRealPart(coords[1*pdim+d]) - PetscRealPart(coords[0*pdim+d])); 588 J0[d*dim+1] = 0.5*(PetscRealPart(coords[3*pdim+d]) - PetscRealPart(coords[0*pdim+d])); 589 } 590 PetscLogFlops(8.0); 591 Det3D_Internal(detJ, J0); 592 for (d = 0; d < dim; d++) { 593 for (f = 0; f < dim; f++) { 594 J[d*dim+f] = 0.0; 595 for (g = 0; g < dim; g++) { 596 J[d*dim+f] += R[d*dim+g]*J0[g*dim+f]; 597 } 598 } 599 } 600 PetscLogFlops(18.0); 601 } 602 if (invJ) {Invert3D_Internal(invJ, J, *detJ);} 603 } else if (numCoords == 8) { 604 const PetscInt dim = 2; 605 606 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 607 if (J) { 608 for (d = 0; d < dim; d++) { 609 J[d*dim+0] = 0.5*(PetscRealPart(coords[1*dim+d]) - PetscRealPart(coords[0*dim+d])); 610 J[d*dim+1] = 0.5*(PetscRealPart(coords[3*dim+d]) - PetscRealPart(coords[0*dim+d])); 611 } 612 PetscLogFlops(8.0); 613 Det2D_Internal(detJ, J); 614 } 615 if (invJ) {Invert2D_Internal(invJ, J, *detJ);} 616 } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The number of coordinates for this quadrilateral is %d != 6", numCoords); 617 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, e, &numCoords, &coords);CHKERRQ(ierr); 618 PetscFunctionReturn(0); 619 } 620 621 #undef __FUNCT__ 622 #define __FUNCT__ "DMPlexComputeTetrahedronGeometry_Internal" 623 static PetscErrorCode DMPlexComputeTetrahedronGeometry_Internal(DM dm, PetscInt e, PetscReal v0[], PetscReal J[], PetscReal invJ[], PetscReal *detJ) 624 { 625 PetscSection coordSection; 626 Vec coordinates; 627 PetscScalar *coords; 628 const PetscInt dim = 3; 629 PetscInt d; 630 PetscErrorCode ierr; 631 632 PetscFunctionBegin; 633 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 634 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 635 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, e, NULL, &coords);CHKERRQ(ierr); 636 *detJ = 0.0; 637 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 638 if (J) { 639 for (d = 0; d < dim; d++) { 640 /* I orient with outward face normals */ 641 J[d*dim+0] = 0.5*(PetscRealPart(coords[2*dim+d]) - PetscRealPart(coords[0*dim+d])); 642 J[d*dim+1] = 0.5*(PetscRealPart(coords[1*dim+d]) - PetscRealPart(coords[0*dim+d])); 643 J[d*dim+2] = 0.5*(PetscRealPart(coords[3*dim+d]) - PetscRealPart(coords[0*dim+d])); 644 } 645 PetscLogFlops(18.0); 646 Det3D_Internal(detJ, J); 647 } 648 if (invJ) {Invert3D_Internal(invJ, J, *detJ);} 649 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, e, NULL, &coords);CHKERRQ(ierr); 650 PetscFunctionReturn(0); 651 } 652 653 #undef __FUNCT__ 654 #define __FUNCT__ "DMPlexComputeHexahedronGeometry_Internal" 655 static PetscErrorCode DMPlexComputeHexahedronGeometry_Internal(DM dm, PetscInt e, PetscReal v0[], PetscReal J[], PetscReal invJ[], PetscReal *detJ) 656 { 657 PetscSection coordSection; 658 Vec coordinates; 659 PetscScalar *coords; 660 const PetscInt dim = 3; 661 PetscInt d; 662 PetscErrorCode ierr; 663 664 PetscFunctionBegin; 665 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 666 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 667 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, e, NULL, &coords);CHKERRQ(ierr); 668 *detJ = 0.0; 669 if (v0) {for (d = 0; d < dim; d++) v0[d] = PetscRealPart(coords[d]);} 670 if (J) { 671 for (d = 0; d < dim; d++) { 672 J[d*dim+0] = 0.5*(PetscRealPart(coords[3*dim+d]) - PetscRealPart(coords[0*dim+d])); 673 J[d*dim+1] = 0.5*(PetscRealPart(coords[1*dim+d]) - PetscRealPart(coords[0*dim+d])); 674 J[d*dim+2] = 0.5*(PetscRealPart(coords[4*dim+d]) - PetscRealPart(coords[0*dim+d])); 675 } 676 PetscLogFlops(18.0); 677 Det3D_Internal(detJ, J); 678 } 679 if (invJ) {Invert3D_Internal(invJ, J, *detJ);} 680 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, e, NULL, &coords);CHKERRQ(ierr); 681 PetscFunctionReturn(0); 682 } 683 684 #undef __FUNCT__ 685 #define __FUNCT__ "DMPlexComputeCellGeometry" 686 /*@C 687 DMPlexComputeCellGeometry - Compute the Jacobian, inverse Jacobian, and Jacobian determinant for a given cell 688 689 Collective on DM 690 691 Input Arguments: 692 + dm - the DM 693 - cell - the cell 694 695 Output Arguments: 696 + v0 - the translation part of this affine transform 697 . J - the Jacobian of the transform from the reference element 698 . invJ - the inverse of the Jacobian 699 - detJ - the Jacobian determinant 700 701 Level: advanced 702 703 Fortran Notes: 704 Since it returns arrays, this routine is only available in Fortran 90, and you must 705 include petsc.h90 in your code. 706 707 .seealso: DMPlexGetCoordinateSection(), DMPlexGetCoordinateVec() 708 @*/ 709 PetscErrorCode DMPlexComputeCellGeometry(DM dm, PetscInt cell, PetscReal *v0, PetscReal *J, PetscReal *invJ, PetscReal *detJ) 710 { 711 PetscInt depth, dim, coneSize; 712 PetscErrorCode ierr; 713 714 PetscFunctionBegin; 715 ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr); 716 ierr = DMPlexGetConeSize(dm, cell, &coneSize);CHKERRQ(ierr); 717 if (depth == 1) { 718 ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr); 719 switch (dim) { 720 case 1: 721 ierr = DMPlexComputeLineGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 722 break; 723 case 2: 724 switch (coneSize) { 725 case 3: 726 ierr = DMPlexComputeTriangleGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 727 break; 728 case 4: 729 ierr = DMPlexComputeRectangleGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 730 break; 731 default: 732 SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported number of vertices %D in cell %D for element geometry computation", coneSize, cell); 733 } 734 break; 735 case 3: 736 switch (coneSize) { 737 case 4: 738 ierr = DMPlexComputeTetrahedronGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 739 break; 740 case 8: 741 ierr = DMPlexComputeHexahedronGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 742 break; 743 default: 744 SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported number of vertices %D in cell %D for element geometry computation", coneSize, cell); 745 } 746 break; 747 default: 748 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported dimension %D for element geometry computation", dim); 749 } 750 } else { 751 /* We need to keep a pointer to the depth label */ 752 ierr = DMPlexGetLabelValue(dm, "depth", cell, &dim);CHKERRQ(ierr); 753 /* Cone size is now the number of faces */ 754 switch (dim) { 755 case 1: 756 ierr = DMPlexComputeLineGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 757 break; 758 case 2: 759 switch (coneSize) { 760 case 3: 761 ierr = DMPlexComputeTriangleGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 762 break; 763 case 4: 764 ierr = DMPlexComputeRectangleGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 765 break; 766 default: 767 SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported number of vertices %D in cell %D for element geometry computation", coneSize, cell); 768 } 769 break; 770 case 3: 771 switch (coneSize) { 772 case 4: 773 ierr = DMPlexComputeTetrahedronGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 774 break; 775 case 6: 776 ierr = DMPlexComputeHexahedronGeometry_Internal(dm, cell, v0, J, invJ, detJ);CHKERRQ(ierr); 777 break; 778 default: 779 SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported number of vertices %D in cell %D for element geometry computation", coneSize, cell); 780 } 781 break; 782 default: 783 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported dimension %D for element geometry computation", dim); 784 } 785 } 786 PetscFunctionReturn(0); 787 } 788 789 #undef __FUNCT__ 790 #define __FUNCT__ "DMPlexComputeGeometryFVM_1D_Internal" 791 static PetscErrorCode DMPlexComputeGeometryFVM_1D_Internal(DM dm, PetscInt dim, PetscInt cell, PetscReal *vol, PetscReal centroid[], PetscReal normal[]) 792 { 793 PetscSection coordSection; 794 Vec coordinates; 795 PetscScalar *coords; 796 PetscInt coordSize; 797 PetscErrorCode ierr; 798 799 PetscFunctionBegin; 800 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 801 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 802 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, cell, &coordSize, &coords);CHKERRQ(ierr); 803 if (dim != 2) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "We only support 2D edges right now"); 804 if (centroid) { 805 centroid[0] = 0.5*PetscRealPart(coords[0] + coords[dim+0]); 806 centroid[1] = 0.5*PetscRealPart(coords[1] + coords[dim+1]); 807 } 808 if (normal) { 809 normal[0] = PetscRealPart(coords[1] - coords[dim+1]); 810 normal[1] = -PetscRealPart(coords[0] - coords[dim+0]); 811 } 812 if (vol) { 813 *vol = sqrt(PetscSqr(PetscRealPart(coords[0] - coords[dim+0])) + PetscSqr(PetscRealPart(coords[1] - coords[dim+1]))); 814 } 815 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, cell, &coordSize, &coords);CHKERRQ(ierr); 816 PetscFunctionReturn(0); 817 } 818 819 #undef __FUNCT__ 820 #define __FUNCT__ "DMPlexComputeGeometryFVM_2D_Internal" 821 /* Centroid_i = (\sum_n A_n Cn_i ) / A */ 822 static PetscErrorCode DMPlexComputeGeometryFVM_2D_Internal(DM dm, PetscInt dim, PetscInt cell, PetscReal *vol, PetscReal centroid[], PetscReal normal[]) 823 { 824 PetscSection coordSection; 825 Vec coordinates; 826 PetscScalar *coords = NULL; 827 PetscReal vsum = 0.0, csum[3] = {0.0, 0.0, 0.0}, vtmp, ctmp[4], v0[3], R[9]; 828 PetscInt tdim = 2, coordSize, numCorners, p, d, e; 829 PetscErrorCode ierr; 830 831 PetscFunctionBegin; 832 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 833 ierr = DMPlexGetConeSize(dm, cell, &numCorners);CHKERRQ(ierr); 834 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 835 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, cell, &coordSize, &coords);CHKERRQ(ierr); 836 dim = coordSize/numCorners; 837 if (normal) { 838 if (dim > 2) { 839 const PetscReal x0 = PetscRealPart(coords[dim+0] - coords[0]), x1 = PetscRealPart(coords[dim*2+0] - coords[0]); 840 const PetscReal y0 = PetscRealPart(coords[dim+1] - coords[1]), y1 = PetscRealPart(coords[dim*2+1] - coords[1]); 841 const PetscReal z0 = PetscRealPart(coords[dim+2] - coords[2]), z1 = PetscRealPart(coords[dim*2+2] - coords[2]); 842 PetscReal norm; 843 844 v0[0] = PetscRealPart(coords[0]); 845 v0[1] = PetscRealPart(coords[1]); 846 v0[2] = PetscRealPart(coords[2]); 847 normal[0] = y0*z1 - z0*y1; 848 normal[1] = z0*x1 - x0*z1; 849 normal[2] = x0*y1 - y0*x1; 850 norm = sqrt(normal[0]*normal[0] + normal[1]*normal[1] + normal[2]*normal[2]); 851 normal[0] /= norm; 852 normal[1] /= norm; 853 normal[2] /= norm; 854 } else { 855 for (d = 0; d < dim; ++d) normal[d] = 0.0; 856 } 857 } 858 if (dim == 3) {ierr = DMPlexComputeProjection3Dto2D_Internal(coordSize, coords, R);CHKERRQ(ierr);} 859 for (p = 0; p < numCorners; ++p) { 860 /* Need to do this copy to get types right */ 861 for (d = 0; d < tdim; ++d) { 862 ctmp[d] = PetscRealPart(coords[p*tdim+d]); 863 ctmp[tdim+d] = PetscRealPart(coords[((p+1)%numCorners)*tdim+d]); 864 } 865 Volume_Triangle_Origin_Internal(&vtmp, ctmp); 866 vsum += vtmp; 867 for (d = 0; d < tdim; ++d) { 868 csum[d] += (ctmp[d] + ctmp[tdim+d])*vtmp; 869 } 870 } 871 for (d = 0; d < tdim; ++d) { 872 csum[d] /= (tdim+1)*vsum; 873 } 874 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, cell, &coordSize, &coords);CHKERRQ(ierr); 875 if (vol) *vol = PetscAbsReal(vsum); 876 if (centroid) { 877 if (dim > 2) { 878 for (d = 0; d < dim; ++d) { 879 centroid[d] = v0[d]; 880 for (e = 0; e < dim; ++e) { 881 centroid[d] += R[d*dim+e]*csum[e]; 882 } 883 } 884 } else for (d = 0; d < dim; ++d) centroid[d] = csum[d]; 885 } 886 PetscFunctionReturn(0); 887 } 888 889 #undef __FUNCT__ 890 #define __FUNCT__ "DMPlexComputeGeometryFVM_3D_Internal" 891 /* Centroid_i = (\sum_n V_n Cn_i ) / V */ 892 static PetscErrorCode DMPlexComputeGeometryFVM_3D_Internal(DM dm, PetscInt dim, PetscInt cell, PetscReal *vol, PetscReal centroid[], PetscReal normal[]) 893 { 894 PetscSection coordSection; 895 Vec coordinates; 896 PetscScalar *coords = NULL; 897 PetscReal vsum = 0.0, vtmp, coordsTmp[3*3]; 898 const PetscInt *faces; 899 PetscInt numFaces, f, coordSize, numCorners, p, d; 900 PetscErrorCode ierr; 901 902 PetscFunctionBegin; 903 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 904 ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr); 905 906 if (centroid) for (d = 0; d < dim; ++d) centroid[d] = 0.0; 907 ierr = DMPlexGetConeSize(dm, cell, &numFaces);CHKERRQ(ierr); 908 ierr = DMPlexGetCone(dm, cell, &faces);CHKERRQ(ierr); 909 for (f = 0; f < numFaces; ++f) { 910 ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, faces[f], &coordSize, &coords);CHKERRQ(ierr); 911 numCorners = coordSize/dim; 912 switch (numCorners) { 913 case 3: 914 for (d = 0; d < dim; ++d) { 915 coordsTmp[0*dim+d] = PetscRealPart(coords[0*dim+d]); 916 coordsTmp[1*dim+d] = PetscRealPart(coords[1*dim+d]); 917 coordsTmp[2*dim+d] = PetscRealPart(coords[2*dim+d]); 918 } 919 Volume_Tetrahedron_Origin_Internal(&vtmp, coordsTmp); 920 vsum += vtmp; 921 if (centroid) { 922 for (d = 0; d < dim; ++d) { 923 for (p = 0; p < 3; ++p) centroid[d] += coordsTmp[p*dim+d]*vtmp; 924 } 925 } 926 break; 927 case 4: 928 /* DO FOR PYRAMID */ 929 /* First tet */ 930 for (d = 0; d < dim; ++d) { 931 coordsTmp[0*dim+d] = PetscRealPart(coords[0*dim+d]); 932 coordsTmp[1*dim+d] = PetscRealPart(coords[1*dim+d]); 933 coordsTmp[2*dim+d] = PetscRealPart(coords[3*dim+d]); 934 } 935 Volume_Tetrahedron_Origin_Internal(&vtmp, coordsTmp); 936 vsum += vtmp; 937 if (centroid) { 938 for (d = 0; d < dim; ++d) { 939 for (p = 0; p < 3; ++p) centroid[d] += coordsTmp[p*dim+d]*vtmp; 940 } 941 } 942 /* Second tet */ 943 for (d = 0; d < dim; ++d) { 944 coordsTmp[0*dim+d] = PetscRealPart(coords[1*dim+d]); 945 coordsTmp[1*dim+d] = PetscRealPart(coords[2*dim+d]); 946 coordsTmp[2*dim+d] = PetscRealPart(coords[3*dim+d]); 947 } 948 Volume_Tetrahedron_Origin_Internal(&vtmp, coordsTmp); 949 vsum += vtmp; 950 if (centroid) { 951 for (d = 0; d < dim; ++d) { 952 for (p = 0; p < 3; ++p) centroid[d] += coordsTmp[p*dim+d]*vtmp; 953 } 954 } 955 break; 956 default: 957 SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle faces with %d vertices", numCorners); 958 } 959 ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, cell, &coordSize, &coords);CHKERRQ(ierr); 960 } 961 if (vol) *vol = PetscAbsReal(vsum); 962 if (normal) for (d = 0; d < dim; ++d) normal[d] = 0.0; 963 if (centroid) for (d = 0; d < dim; ++d) centroid[d] /= (vsum*4); 964 PetscFunctionReturn(0); 965 } 966 967 #undef __FUNCT__ 968 #define __FUNCT__ "DMPlexComputeCellGeometryFVM" 969 /*@C 970 DMPlexComputeCellGeometryFVM - Compute the volume for a given cell 971 972 Collective on DM 973 974 Input Arguments: 975 + dm - the DM 976 - cell - the cell 977 978 Output Arguments: 979 + volume - the cell volume 980 . centroid - the cell centroid 981 - normal - the cell normal, if appropriate 982 983 Level: advanced 984 985 Fortran Notes: 986 Since it returns arrays, this routine is only available in Fortran 90, and you must 987 include petsc.h90 in your code. 988 989 .seealso: DMPlexGetCoordinateSection(), DMPlexGetCoordinateVec() 990 @*/ 991 PetscErrorCode DMPlexComputeCellGeometryFVM(DM dm, PetscInt cell, PetscReal *vol, PetscReal centroid[], PetscReal normal[]) 992 { 993 PetscInt depth, dim; 994 PetscErrorCode ierr; 995 996 PetscFunctionBegin; 997 ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr); 998 ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr); 999 if (depth != dim) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Mesh must be interpolated"); 1000 /* We need to keep a pointer to the depth label */ 1001 ierr = DMPlexGetLabelValue(dm, "depth", cell, &depth);CHKERRQ(ierr); 1002 /* Cone size is now the number of faces */ 1003 switch (depth) { 1004 case 1: 1005 ierr = DMPlexComputeGeometryFVM_1D_Internal(dm, dim, cell, vol, centroid, normal);CHKERRQ(ierr); 1006 break; 1007 case 2: 1008 ierr = DMPlexComputeGeometryFVM_2D_Internal(dm, dim, cell, vol, centroid, normal);CHKERRQ(ierr); 1009 break; 1010 case 3: 1011 ierr = DMPlexComputeGeometryFVM_3D_Internal(dm, dim, cell, vol, centroid, normal);CHKERRQ(ierr); 1012 break; 1013 default: 1014 SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unsupported dimension %D for element geometry computation", dim); 1015 } 1016 PetscFunctionReturn(0); 1017 } 1018