1 2 static char help[] ="Tests sequential and parallel DMCreateMatrix(), MatMatMult() and MatPtAP()\n\ 3 -Mx <xg>, where <xg> = number of coarse grid points in the x-direction\n\ 4 -My <yg>, where <yg> = number of coarse grid points in the y-direction\n\ 5 -Mz <zg>, where <zg> = number of coarse grid points in the z-direction\n\ 6 -Npx <npx>, where <npx> = number of processors in the x-direction\n\ 7 -Npy <npy>, where <npy> = number of processors in the y-direction\n\ 8 -Npz <npz>, where <npz> = number of processors in the z-direction\n\n"; 9 10 /* 11 This test is modified from ~src/ksp/tests/ex19.c. 12 Example of usage: mpiexec -n 3 ./ex96 -Mx 10 -My 10 -Mz 10 13 */ 14 15 #include <petscdm.h> 16 #include <petscdmda.h> 17 18 /* User-defined application contexts */ 19 typedef struct { 20 PetscInt mx,my,mz; /* number grid points in x, y and z direction */ 21 Vec localX,localF; /* local vectors with ghost region */ 22 DM da; 23 Vec x,b,r; /* global vectors */ 24 Mat J; /* Jacobian on grid */ 25 } GridCtx; 26 typedef struct { 27 GridCtx fine; 28 GridCtx coarse; 29 PetscInt ratio; 30 Mat Ii; /* interpolation from coarse to fine */ 31 } AppCtx; 32 33 #define COARSE_LEVEL 0 34 #define FINE_LEVEL 1 35 36 /* 37 Mm_ratio - ration of grid lines between fine and coarse grids. 38 */ 39 int main(int argc,char **argv) 40 { 41 AppCtx user; 42 PetscInt Npx=PETSC_DECIDE,Npy=PETSC_DECIDE,Npz=PETSC_DECIDE; 43 PetscMPIInt size,rank; 44 PetscInt m,n,M,N,i,nrows; 45 PetscScalar one = 1.0; 46 PetscReal fill=2.0; 47 Mat A,A_tmp,P,C,C1,C2; 48 PetscScalar *array,none = -1.0,alpha; 49 Vec x,v1,v2,v3,v4; 50 PetscReal norm,norm_tmp,norm_tmp1,tol=100.*PETSC_MACHINE_EPSILON; 51 PetscRandom rdm; 52 PetscBool Test_MatMatMult=PETSC_TRUE,Test_MatPtAP=PETSC_TRUE,Test_3D=PETSC_TRUE,flg; 53 const PetscInt *ia,*ja; 54 55 PetscCall(PetscInitialize(&argc,&argv,NULL,help)); 56 PetscCall(PetscOptionsGetReal(NULL,NULL,"-tol",&tol,NULL)); 57 58 user.ratio = 2; 59 user.coarse.mx = 20; user.coarse.my = 20; user.coarse.mz = 20; 60 61 PetscCall(PetscOptionsGetInt(NULL,NULL,"-Mx",&user.coarse.mx,NULL)); 62 PetscCall(PetscOptionsGetInt(NULL,NULL,"-My",&user.coarse.my,NULL)); 63 PetscCall(PetscOptionsGetInt(NULL,NULL,"-Mz",&user.coarse.mz,NULL)); 64 PetscCall(PetscOptionsGetInt(NULL,NULL,"-ratio",&user.ratio,NULL)); 65 66 if (user.coarse.mz) Test_3D = PETSC_TRUE; 67 68 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size)); 69 PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD,&rank)); 70 PetscCall(PetscOptionsGetInt(NULL,NULL,"-Npx",&Npx,NULL)); 71 PetscCall(PetscOptionsGetInt(NULL,NULL,"-Npy",&Npy,NULL)); 72 PetscCall(PetscOptionsGetInt(NULL,NULL,"-Npz",&Npz,NULL)); 73 74 /* Set up distributed array for fine grid */ 75 if (!Test_3D) { 76 PetscCall(DMDACreate2d(PETSC_COMM_WORLD, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,user.coarse.mx,user.coarse.my,Npx,Npy,1,1,NULL,NULL,&user.coarse.da)); 77 } else { 78 PetscCall(DMDACreate3d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,user.coarse.mx,user.coarse.my,user.coarse.mz,Npx,Npy,Npz,1,1,NULL,NULL,NULL,&user.coarse.da)); 79 } 80 PetscCall(DMSetFromOptions(user.coarse.da)); 81 PetscCall(DMSetUp(user.coarse.da)); 82 83 /* This makes sure the coarse DMDA has the same partition as the fine DMDA */ 84 PetscCall(DMRefine(user.coarse.da,PetscObjectComm((PetscObject)user.coarse.da),&user.fine.da)); 85 86 /* Test DMCreateMatrix() */ 87 /*------------------------------------------------------------*/ 88 PetscCall(DMSetMatType(user.fine.da,MATAIJ)); 89 PetscCall(DMCreateMatrix(user.fine.da,&A)); 90 PetscCall(DMSetMatType(user.fine.da,MATBAIJ)); 91 PetscCall(DMCreateMatrix(user.fine.da,&C)); 92 93 PetscCall(MatConvert(C,MATAIJ,MAT_INITIAL_MATRIX,&A_tmp)); /* not work for mpisbaij matrix! */ 94 PetscCall(MatEqual(A,A_tmp,&flg)); 95 PetscCheck(flg,PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMETYPE,"A != C"); 96 PetscCall(MatDestroy(&C)); 97 PetscCall(MatDestroy(&A_tmp)); 98 99 /*------------------------------------------------------------*/ 100 101 PetscCall(MatGetLocalSize(A,&m,&n)); 102 PetscCall(MatGetSize(A,&M,&N)); 103 /* if (rank == 0) printf("A %d, %d\n",M,N); */ 104 105 /* set val=one to A */ 106 if (size == 1) { 107 PetscCall(MatGetRowIJ(A,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 108 if (flg) { 109 PetscCall(MatSeqAIJGetArray(A,&array)); 110 for (i=0; i<ia[nrows]; i++) array[i] = one; 111 PetscCall(MatSeqAIJRestoreArray(A,&array)); 112 } 113 PetscCall(MatRestoreRowIJ(A,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 114 } else { 115 Mat AA,AB; 116 PetscCall(MatMPIAIJGetSeqAIJ(A,&AA,&AB,NULL)); 117 PetscCall(MatGetRowIJ(AA,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 118 if (flg) { 119 PetscCall(MatSeqAIJGetArray(AA,&array)); 120 for (i=0; i<ia[nrows]; i++) array[i] = one; 121 PetscCall(MatSeqAIJRestoreArray(AA,&array)); 122 } 123 PetscCall(MatRestoreRowIJ(AA,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 124 PetscCall(MatGetRowIJ(AB,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 125 if (flg) { 126 PetscCall(MatSeqAIJGetArray(AB,&array)); 127 for (i=0; i<ia[nrows]; i++) array[i] = one; 128 PetscCall(MatSeqAIJRestoreArray(AB,&array)); 129 } 130 PetscCall(MatRestoreRowIJ(AB,0,PETSC_FALSE,PETSC_FALSE,&nrows,&ia,&ja,&flg)); 131 } 132 /* PetscCall(MatView(A, PETSC_VIEWER_STDOUT_WORLD)); */ 133 134 /* Create interpolation between the fine and coarse grids */ 135 PetscCall(DMCreateInterpolation(user.coarse.da,user.fine.da,&P,NULL)); 136 PetscCall(MatGetLocalSize(P,&m,&n)); 137 PetscCall(MatGetSize(P,&M,&N)); 138 /* if (rank == 0) printf("P %d, %d\n",M,N); */ 139 140 /* Create vectors v1 and v2 that are compatible with A */ 141 PetscCall(VecCreate(PETSC_COMM_WORLD,&v1)); 142 PetscCall(MatGetLocalSize(A,&m,NULL)); 143 PetscCall(VecSetSizes(v1,m,PETSC_DECIDE)); 144 PetscCall(VecSetFromOptions(v1)); 145 PetscCall(VecDuplicate(v1,&v2)); 146 PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&rdm)); 147 PetscCall(PetscRandomSetFromOptions(rdm)); 148 149 /* Test MatMatMult(): C = A*P */ 150 /*----------------------------*/ 151 if (Test_MatMatMult) { 152 PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&A_tmp)); 153 PetscCall(MatMatMult(A_tmp,P,MAT_INITIAL_MATRIX,fill,&C)); 154 155 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 156 alpha=1.0; 157 for (i=0; i<2; i++) { 158 alpha -= 0.1; 159 PetscCall(MatScale(A_tmp,alpha)); 160 PetscCall(MatMatMult(A_tmp,P,MAT_REUSE_MATRIX,fill,&C)); 161 } 162 /* Free intermediate data structures created for reuse of C=Pt*A*P */ 163 PetscCall(MatProductClear(C)); 164 165 /* Test MatDuplicate() */ 166 /*----------------------------*/ 167 PetscCall(MatDuplicate(C,MAT_COPY_VALUES,&C1)); 168 PetscCall(MatDuplicate(C1,MAT_COPY_VALUES,&C2)); 169 PetscCall(MatDestroy(&C1)); 170 PetscCall(MatDestroy(&C2)); 171 172 /* Create vector x that is compatible with P */ 173 PetscCall(VecCreate(PETSC_COMM_WORLD,&x)); 174 PetscCall(MatGetLocalSize(P,NULL,&n)); 175 PetscCall(VecSetSizes(x,n,PETSC_DECIDE)); 176 PetscCall(VecSetFromOptions(x)); 177 178 norm = 0.0; 179 for (i=0; i<10; i++) { 180 PetscCall(VecSetRandom(x,rdm)); 181 PetscCall(MatMult(P,x,v1)); 182 PetscCall(MatMult(A_tmp,v1,v2)); /* v2 = A*P*x */ 183 PetscCall(MatMult(C,x,v1)); /* v1 = C*x */ 184 PetscCall(VecAXPY(v1,none,v2)); 185 PetscCall(VecNorm(v1,NORM_1,&norm_tmp)); 186 PetscCall(VecNorm(v2,NORM_1,&norm_tmp1)); 187 norm_tmp /= norm_tmp1; 188 if (norm_tmp > norm) norm = norm_tmp; 189 } 190 if (norm >= tol && rank == 0) { 191 PetscCall(PetscPrintf(PETSC_COMM_SELF,"Error: MatMatMult(), |v1 - v2|/|v2|: %g\n",(double)norm)); 192 } 193 194 PetscCall(VecDestroy(&x)); 195 PetscCall(MatDestroy(&C)); 196 PetscCall(MatDestroy(&A_tmp)); 197 } 198 199 /* Test P^T * A * P - MatPtAP() */ 200 /*------------------------------*/ 201 if (Test_MatPtAP) { 202 PetscCall(MatPtAP(A,P,MAT_INITIAL_MATRIX,fill,&C)); 203 PetscCall(MatGetLocalSize(C,&m,&n)); 204 205 /* Test MAT_REUSE_MATRIX - reuse symbolic C */ 206 alpha=1.0; 207 for (i=0; i<1; i++) { 208 alpha -= 0.1; 209 PetscCall(MatScale(A,alpha)); 210 PetscCall(MatPtAP(A,P,MAT_REUSE_MATRIX,fill,&C)); 211 } 212 213 /* Free intermediate data structures created for reuse of C=Pt*A*P */ 214 PetscCall(MatProductClear(C)); 215 216 /* Test MatDuplicate() */ 217 /*----------------------------*/ 218 PetscCall(MatDuplicate(C,MAT_COPY_VALUES,&C1)); 219 PetscCall(MatDuplicate(C1,MAT_COPY_VALUES,&C2)); 220 PetscCall(MatDestroy(&C1)); 221 PetscCall(MatDestroy(&C2)); 222 223 /* Create vector x that is compatible with P */ 224 PetscCall(VecCreate(PETSC_COMM_WORLD,&x)); 225 PetscCall(MatGetLocalSize(P,&m,&n)); 226 PetscCall(VecSetSizes(x,n,PETSC_DECIDE)); 227 PetscCall(VecSetFromOptions(x)); 228 229 PetscCall(VecCreate(PETSC_COMM_WORLD,&v3)); 230 PetscCall(VecSetSizes(v3,n,PETSC_DECIDE)); 231 PetscCall(VecSetFromOptions(v3)); 232 PetscCall(VecDuplicate(v3,&v4)); 233 234 norm = 0.0; 235 for (i=0; i<10; i++) { 236 PetscCall(VecSetRandom(x,rdm)); 237 PetscCall(MatMult(P,x,v1)); 238 PetscCall(MatMult(A,v1,v2)); /* v2 = A*P*x */ 239 240 PetscCall(MatMultTranspose(P,v2,v3)); /* v3 = Pt*A*P*x */ 241 PetscCall(MatMult(C,x,v4)); /* v3 = C*x */ 242 PetscCall(VecAXPY(v4,none,v3)); 243 PetscCall(VecNorm(v4,NORM_1,&norm_tmp)); 244 PetscCall(VecNorm(v3,NORM_1,&norm_tmp1)); 245 246 norm_tmp /= norm_tmp1; 247 if (norm_tmp > norm) norm = norm_tmp; 248 } 249 if (norm >= tol && rank == 0) { 250 PetscCall(PetscPrintf(PETSC_COMM_SELF,"Error: MatPtAP(), |v3 - v4|/|v3|: %g\n",(double)norm)); 251 } 252 PetscCall(MatDestroy(&C)); 253 PetscCall(VecDestroy(&v3)); 254 PetscCall(VecDestroy(&v4)); 255 PetscCall(VecDestroy(&x)); 256 } 257 258 /* Clean up */ 259 PetscCall(MatDestroy(&A)); 260 PetscCall(PetscRandomDestroy(&rdm)); 261 PetscCall(VecDestroy(&v1)); 262 PetscCall(VecDestroy(&v2)); 263 PetscCall(DMDestroy(&user.fine.da)); 264 PetscCall(DMDestroy(&user.coarse.da)); 265 PetscCall(MatDestroy(&P)); 266 PetscCall(PetscFinalize()); 267 return 0; 268 } 269 270 /*TEST 271 272 test: 273 args: -Mx 10 -My 5 -Mz 10 274 output_file: output/ex96_1.out 275 276 test: 277 suffix: nonscalable 278 nsize: 3 279 args: -Mx 10 -My 5 -Mz 10 280 output_file: output/ex96_1.out 281 282 test: 283 suffix: scalable 284 nsize: 3 285 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable 286 output_file: output/ex96_1.out 287 288 test: 289 suffix: seq_scalable 290 nsize: 3 291 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm scalable -inner_offdiag_mat_product_algorithm scalable 292 output_file: output/ex96_1.out 293 294 test: 295 suffix: seq_sorted 296 nsize: 3 297 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm sorted -inner_offdiag_mat_product_algorithm sorted 298 output_file: output/ex96_1.out 299 300 test: 301 suffix: seq_scalable_fast 302 nsize: 3 303 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm scalable_fast -inner_offdiag_mat_product_algorithm scalable_fast 304 output_file: output/ex96_1.out 305 306 test: 307 suffix: seq_heap 308 nsize: 3 309 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm heap -inner_offdiag_mat_product_algorithm heap 310 output_file: output/ex96_1.out 311 312 test: 313 suffix: seq_btheap 314 nsize: 3 315 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm btheap -inner_offdiag_mat_product_algorithm btheap 316 output_file: output/ex96_1.out 317 318 test: 319 suffix: seq_llcondensed 320 nsize: 3 321 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm llcondensed -inner_offdiag_mat_product_algorithm llcondensed 322 output_file: output/ex96_1.out 323 324 test: 325 suffix: seq_rowmerge 326 nsize: 3 327 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via scalable -inner_diag_mat_product_algorithm rowmerge -inner_offdiag_mat_product_algorithm rowmerge 328 output_file: output/ex96_1.out 329 330 test: 331 suffix: allatonce 332 nsize: 3 333 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via allatonce 334 output_file: output/ex96_1.out 335 336 test: 337 suffix: allatonce_merged 338 nsize: 3 339 args: -Mx 10 -My 5 -Mz 10 -matmatmult_via scalable -matptap_via allatonce_merged 340 output_file: output/ex96_1.out 341 342 TEST*/ 343