Actual source code: ex51.c

  1: static char help[] = "Tests MatIncreaseOverlap(), MatCreateSubMatrices() for MatBAIJ format.\n";

  3: #include <petscmat.h>

  5: int main(int argc, char **args)
  6: {
  7:   Mat          A, B, E, Bt, *submatA, *submatB;
  8:   PetscInt     bs = 1, m = 43, ov = 1, i, j, k, *rows, *cols, M, nd = 5, *idx, mm, nn, lsize;
  9:   PetscScalar *vals, rval;
 10:   IS          *is1, *is2;
 11:   PetscRandom  rdm;
 12:   Vec          xx, s1, s2;
 13:   PetscReal    s1norm, s2norm, rnorm, tol = PETSC_SQRT_MACHINE_EPSILON;
 14:   PetscBool    flg;

 16:   PetscFunctionBeginUser;
 17:   PetscCall(PetscInitialize(&argc, &args, NULL, help));
 18:   PetscCall(PetscOptionsGetInt(NULL, NULL, "-mat_block_size", &bs, NULL));
 19:   PetscCall(PetscOptionsGetInt(NULL, NULL, "-mat_size", &m, NULL));
 20:   PetscCall(PetscOptionsGetInt(NULL, NULL, "-ov", &ov, NULL));
 21:   PetscCall(PetscOptionsGetInt(NULL, NULL, "-nd", &nd, NULL));
 22:   M = m * bs;

 24:   PetscCall(MatCreateSeqBAIJ(PETSC_COMM_SELF, bs, M, M, 1, NULL, &A));
 25:   PetscCall(MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
 26:   PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, M, M, 15, NULL, &B));
 27:   PetscCall(MatSetBlockSize(B, bs));
 28:   PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
 29:   PetscCall(PetscRandomCreate(PETSC_COMM_SELF, &rdm));
 30:   PetscCall(PetscRandomSetFromOptions(rdm));

 32:   PetscCall(PetscMalloc1(bs, &rows));
 33:   PetscCall(PetscMalloc1(bs, &cols));
 34:   PetscCall(PetscMalloc1(bs * bs, &vals));
 35:   PetscCall(PetscMalloc1(M, &idx));

 37:   /* Now set blocks of values */
 38:   for (i = 0; i < 20 * bs; i++) {
 39:     PetscInt nr = 1, nc = 1;
 40:     PetscCall(PetscRandomGetValue(rdm, &rval));
 41:     cols[0] = bs * (int)(PetscRealPart(rval) * m);
 42:     PetscCall(PetscRandomGetValue(rdm, &rval));
 43:     rows[0] = bs * (int)(PetscRealPart(rval) * m);
 44:     for (j = 1; j < bs; j++) {
 45:       PetscCall(PetscRandomGetValue(rdm, &rval));
 46:       if (PetscRealPart(rval) > .5) rows[nr++] = rows[0] + j - 1;
 47:     }
 48:     for (j = 1; j < bs; j++) {
 49:       PetscCall(PetscRandomGetValue(rdm, &rval));
 50:       if (PetscRealPart(rval) > .5) cols[nc++] = cols[0] + j - 1;
 51:     }

 53:     for (j = 0; j < nr * nc; j++) {
 54:       PetscCall(PetscRandomGetValue(rdm, &rval));
 55:       vals[j] = rval;
 56:     }
 57:     PetscCall(MatSetValues(A, nr, rows, nc, cols, vals, ADD_VALUES));
 58:     PetscCall(MatSetValues(B, nr, rows, nc, cols, vals, ADD_VALUES));
 59:   }

 61:   PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
 62:   PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
 63:   PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
 64:   PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));

 66:   /* Test MatConvert_SeqAIJ_Seq(S)BAIJ handles incompletely filled blocks */
 67:   PetscCall(MatConvert(B, MATBAIJ, MAT_INITIAL_MATRIX, &E));
 68:   PetscCall(MatDestroy(&E));
 69:   PetscCall(MatTranspose(B, MAT_INITIAL_MATRIX, &Bt));
 70:   PetscCall(MatAXPY(Bt, 1.0, B, DIFFERENT_NONZERO_PATTERN));
 71:   PetscCall(MatSetOption(Bt, MAT_SYMMETRIC, PETSC_TRUE));
 72:   PetscCall(MatConvert(Bt, MATSBAIJ, MAT_INITIAL_MATRIX, &E));
 73:   PetscCall(MatDestroy(&E));
 74:   PetscCall(MatDestroy(&Bt));

 76:   /* Test MatIncreaseOverlap() */
 77:   PetscCall(PetscMalloc1(nd, &is1));
 78:   PetscCall(PetscMalloc1(nd, &is2));

 80:   for (i = 0; i < nd; i++) {
 81:     PetscCall(PetscRandomGetValue(rdm, &rval));
 82:     lsize = (int)(PetscRealPart(rval) * m);
 83:     for (j = 0; j < lsize; j++) {
 84:       PetscCall(PetscRandomGetValue(rdm, &rval));
 85:       idx[j * bs] = bs * (int)(PetscRealPart(rval) * m);
 86:       for (k = 1; k < bs; k++) idx[j * bs + k] = idx[j * bs] + k;
 87:     }
 88:     PetscCall(ISCreateGeneral(PETSC_COMM_SELF, lsize * bs, idx, PETSC_COPY_VALUES, is1 + i));
 89:     PetscCall(ISCreateGeneral(PETSC_COMM_SELF, lsize * bs, idx, PETSC_COPY_VALUES, is2 + i));
 90:   }
 91:   PetscCall(MatIncreaseOverlap(A, nd, is1, ov));
 92:   PetscCall(MatIncreaseOverlap(B, nd, is2, ov));

 94:   for (i = 0; i < nd; ++i) {
 95:     PetscCall(ISEqual(is1[i], is2[i], &flg));
 96:     PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "i=%" PetscInt_FMT ", flg =%d", i, (int)flg);
 97:   }

 99:   for (i = 0; i < nd; ++i) {
100:     PetscCall(ISSort(is1[i]));
101:     PetscCall(ISSort(is2[i]));
102:   }

104:   PetscCall(MatCreateSubMatrices(A, nd, is1, is1, MAT_INITIAL_MATRIX, &submatA));
105:   PetscCall(MatCreateSubMatrices(B, nd, is2, is2, MAT_INITIAL_MATRIX, &submatB));

107:   /* Test MatMult() */
108:   for (i = 0; i < nd; i++) {
109:     PetscCall(MatGetSize(submatA[i], &mm, &nn));
110:     PetscCall(VecCreateSeq(PETSC_COMM_SELF, mm, &xx));
111:     PetscCall(VecDuplicate(xx, &s1));
112:     PetscCall(VecDuplicate(xx, &s2));
113:     for (j = 0; j < 3; j++) {
114:       PetscCall(VecSetRandom(xx, rdm));
115:       PetscCall(MatMult(submatA[i], xx, s1));
116:       PetscCall(MatMult(submatB[i], xx, s2));
117:       PetscCall(VecNorm(s1, NORM_2, &s1norm));
118:       PetscCall(VecNorm(s2, NORM_2, &s2norm));
119:       rnorm = s2norm - s1norm;
120:       if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatMult - Norm1=%16.14e Norm2=%16.14e\n", (double)s1norm, (double)s2norm));
121:     }
122:     PetscCall(VecDestroy(&xx));
123:     PetscCall(VecDestroy(&s1));
124:     PetscCall(VecDestroy(&s2));
125:   }
126:   /* Now test MatCreateSubmatrices with MAT_REUSE_MATRIX option */
127:   PetscCall(MatCreateSubMatrices(A, nd, is1, is1, MAT_REUSE_MATRIX, &submatA));
128:   PetscCall(MatCreateSubMatrices(B, nd, is2, is2, MAT_REUSE_MATRIX, &submatB));

130:   /* Test MatMult() */
131:   for (i = 0; i < nd; i++) {
132:     PetscCall(MatGetSize(submatA[i], &mm, &nn));
133:     PetscCall(VecCreateSeq(PETSC_COMM_SELF, mm, &xx));
134:     PetscCall(VecDuplicate(xx, &s1));
135:     PetscCall(VecDuplicate(xx, &s2));
136:     for (j = 0; j < 3; j++) {
137:       PetscCall(VecSetRandom(xx, rdm));
138:       PetscCall(MatMult(submatA[i], xx, s1));
139:       PetscCall(MatMult(submatB[i], xx, s2));
140:       PetscCall(VecNorm(s1, NORM_2, &s1norm));
141:       PetscCall(VecNorm(s2, NORM_2, &s2norm));
142:       rnorm = s2norm - s1norm;
143:       if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatMult - Norm1=%16.14e Norm2=%16.14e\n", (double)s1norm, (double)s2norm));
144:     }
145:     PetscCall(VecDestroy(&xx));
146:     PetscCall(VecDestroy(&s1));
147:     PetscCall(VecDestroy(&s2));
148:   }

150:   /* Free allocated memory */
151:   for (i = 0; i < nd; ++i) {
152:     PetscCall(ISDestroy(&is1[i]));
153:     PetscCall(ISDestroy(&is2[i]));
154:   }
155:   PetscCall(MatDestroySubMatrices(nd, &submatA));
156:   PetscCall(MatDestroySubMatrices(nd, &submatB));
157:   PetscCall(PetscFree(is1));
158:   PetscCall(PetscFree(is2));
159:   PetscCall(PetscFree(idx));
160:   PetscCall(PetscFree(rows));
161:   PetscCall(PetscFree(cols));
162:   PetscCall(PetscFree(vals));
163:   PetscCall(MatDestroy(&A));
164:   PetscCall(MatDestroy(&B));
165:   PetscCall(PetscRandomDestroy(&rdm));
166:   PetscCall(PetscFinalize());
167:   return 0;
168: }

170: /*TEST

172:    test:
173:       args: -mat_block_size {{1 2 5 7 8}} -ov {{1 3}} -mat_size {{11 13}} -nd {{7}}

175: TEST*/