| 1 | #include <stdlib.h>
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| 2 |
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| 3 | /* = = = = = = = = TASS I/O = = = = = = = = */
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| 4 | #pragma TASS input
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| 5 | int N;
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| 6 | #pragma TASS input
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| 7 | int M;
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| 8 |
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| 9 | #pragma TASS input
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| 10 | double A0[N*M];
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| 11 | #pragma TASS input
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| 12 | double B0[N*M];
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| 13 | #pragma TASS output
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| 14 | double OUTS[N*M];
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| 15 |
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| 16 | /* = = = = = = = = Dense and CSR Matrix Def = = = = = = = = */
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| 17 | struct CSRM_struct {
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| 18 | double *data;
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| 19 | int *i;
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| 20 | int *j;
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| 21 | int num_rows;
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| 22 | int num_cols;
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| 23 | int num_nonzeros;
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| 24 | };
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| 25 |
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| 26 | typedef struct CSRM_struct hypre_CSRMatrix;
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| 27 |
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| 28 | /* = = = = = = = = Hypre_CSR = = = = = = = = */
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| 29 | hypre_CSRMatrix *
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| 30 | hypre_CSRMatrixCreate(
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| 31 | int num_rows,
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| 32 | int num_cols,
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| 33 | int num_nonzeros )
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| 34 | {
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| 35 | hypre_CSRMatrix *matrix;
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| 36 |
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| 37 | matrix = (hypre_CSRMatrix *) malloc (sizeof(hypre_CSRMatrix));
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| 38 | matrix->data = (double *) NULL;
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| 39 | matrix->i = (int *) NULL;
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| 40 | matrix->j = (int *) NULL;
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| 41 | matrix->num_rows = num_rows;
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| 42 | matrix->num_cols = num_cols;
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| 43 | matrix->num_nonzeros = num_nonzeros;
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| 44 |
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| 45 | return matrix;
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| 46 | }
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| 47 |
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| 48 |
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| 49 | int
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| 50 | hypre_CSRMatrixInitialize(
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| 51 | hypre_CSRMatrix *matrix )
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| 52 | {
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| 53 | int num_rows;
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| 54 | int num_nonzeros;
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| 55 | int ierr;
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| 56 |
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| 57 | ierr = 0;
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| 58 | num_rows = matrix->num_rows;
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| 59 | num_nonzeros = matrix->num_nonzeros;
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| 60 |
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| 61 | if (matrix->data == (double *)NULL && num_nonzeros != 0 )
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| 62 | matrix->data = (double *)malloc(num_nonzeros*sizeof(double));
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| 63 | if (matrix->i == (int *)NULL)
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| 64 | matrix->i = (int *)malloc((num_rows + 1)*sizeof(int));
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| 65 | if (matrix->j == (int *)NULL)
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| 66 | matrix->j = (int *)malloc(num_nonzeros*sizeof(int));
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| 67 | return ierr;
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| 68 | }
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| 69 |
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| 70 | void free_CSR( hypre_CSRMatrix *matrix ) {
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| 71 | if (matrix->data != (double *) NULL)
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| 72 | free(matrix->data);
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| 73 | if (matrix->i != (int *) NULL)
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| 74 | free(matrix->i);
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| 75 | if (matrix->j != (int *) NULL)
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| 76 | free(matrix->j);
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| 77 | free(matrix);
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| 78 | }
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| 79 |
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| 80 | hypre_CSRMatrix *
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| 81 | hypre_CSRMatrixAdd( hypre_CSRMatrix *A, hypre_CSRMatrix *B) {
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| 82 | double * A_data;
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| 83 | int * A_i;
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| 84 | int * A_j;
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| 85 | int nrows_A;
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| 86 | int ncols_A;
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| 87 | double * B_data;
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| 88 | int * B_i;
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| 89 | int * B_j;
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| 90 | int nrows_B;
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| 91 | int ncols_B;
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| 92 | hypre_CSRMatrix *C;
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| 93 | double *C_data;
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| 94 | int *C_i;
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| 95 | int *C_j;
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| 96 | int ia;
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| 97 | int ib;
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| 98 | int ic;
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| 99 | int jcol;
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| 100 | int num_nonzeros;
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| 101 | int pos;
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| 102 | int * marker;
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| 103 |
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| 104 | A_data = A->data;
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| 105 | A_i = A->i;
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| 106 | A_j = A->j;
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| 107 | nrows_A = A->num_rows;
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| 108 | ncols_A = A->num_cols;
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| 109 | B_data = B->data;
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| 110 | B_i = B->i;
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| 111 | B_j = B->j;
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| 112 | nrows_B = B->num_rows;
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| 113 | ncols_B = B->num_cols;
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| 114 |
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| 115 | marker = (int *) malloc (ncols_A * sizeof(int));
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| 116 | C_i = (int *) malloc ((nrows_A+1) * sizeof(int));
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| 117 | for (ia = 0; ia < ncols_A; ia++)
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| 118 | marker[ia] = -1;
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| 119 | num_nonzeros = 0;
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| 120 | C_i[0] = 0;
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| 121 | for (ic = 0; ic < nrows_A; ic++) {
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| 122 | for (ia = A_i[ic]; ia < A_i[ic+1]; ia++) {
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| 123 | jcol = A_j[ia];
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| 124 | marker[jcol] = ic;
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| 125 | num_nonzeros++;
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| 126 | }
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| 127 | for (ib = B_i[ic]; ib < B_i[ic+1]; ib++) {
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| 128 | jcol = B_j[ib];
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| 129 | if (marker[jcol] != ic) {
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| 130 | marker[jcol] = ic;
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| 131 | num_nonzeros++;
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| 132 | }
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| 133 | }
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| 134 | C_i[ic+1] = num_nonzeros;
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| 135 | }
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| 136 |
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| 137 | C = hypre_CSRMatrixCreate(nrows_A, ncols_A, num_nonzeros);
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| 138 | C->i = C_i;
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| 139 | hypre_CSRMatrixInitialize(C);
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| 140 | C_j = C->j;
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| 141 | C_data = C->data;
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| 142 |
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| 143 | for (ia = 0; ia < ncols_A; ia++)
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| 144 | marker[ia] = -1;
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| 145 | pos = 0;
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| 146 |
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| 147 | #pragma TASS invariant LoopNNZ pos >= A_i[ic] && pos >= B_i[ic] && pos <= A_i[ic] + B_i[ic];
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| 148 | #pragma TASS joint invariant LoopCondEquiv ic == spec.i && nrows_A == spec.nr && ncols_A == spec.nc;
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| 149 | #pragma TASS joint invariant LoopMatAEquiv (forall {int xa | A_i[ic]<=xa && xa<A_i[ic+1]} (spec.j != A_j[xa] || spec.A_data[ic*ncols_A + spec.j] == A_data[xa]));
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| 150 | #pragma TASS joint invariant LoopMatBEquiv (forall {int xb | B_i[ic]<=xb && xb<B_i[ic+1]} (spec.j != B_j[xb] || spec.B_data[ic*ncols_A + spec.j] == B_data[xb]));
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| 151 | #pragma TASS joint invariant LoopMatCEquiv (forall {int xc | C_i[ic]<=xc && xc<C_i[ic+1]} (spec.j != C_j[xc] || spec.C_data[ic*ncols_A + spec.j] == C_data[xc]));
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| 152 | #pragma TASS joint invariant LoopCorrect (forall {int r | 0 <= r && r < spec.nr}(forall {int c | 0 <= c && c < spec.nc} (((forall {int nz1 | C_i[r] <= nz1 && nz1 < C_i[r+1]} (c != C_j[nz1] || spec.C_data[r*spec.nc + c] != C_data[nz1])) != true) || (forall {int nz2 | C_i[r] <= nz2 && nz2 < C_i[r+1]} (c != C_j[nz2] || spec.C_data[r*spec.nc + c] != 0.0)))));
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| 153 | for (ic = 0; ic < nrows_A; ic++) {
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| 154 | for (ia = A_i[ic]; ia < A_i[ic+1]; ia++) {
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| 155 | jcol = A_j[ia];
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| 156 | C_j[pos] = jcol;
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| 157 | C_data[pos] = A_data[ia];
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| 158 | marker[jcol] = pos;
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| 159 | pos++;
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| 160 | }
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| 161 | for (ib = B_i[ic]; ib < B_i[ic+1]; ib++) {
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| 162 | jcol = B_j[ib];
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| 163 | if (marker[jcol] < C_i[ic]) {
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| 164 | C_j[pos] = jcol;
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| 165 | C_data[pos] = B_data[ib];
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| 166 | marker[jcol] = pos;
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| 167 | pos++;
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| 168 | }else{
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| 169 | C_data[marker[jcol]] += B_data[ib];
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| 170 | }
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| 171 | }
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| 172 | }
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| 173 | free(marker);
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| 174 | return C;
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| 175 | }
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| 176 |
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| 177 | double *
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| 178 | expand(hypre_CSRMatrix * mat)
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| 179 | {
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| 180 | int i;
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| 181 | int j;
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| 182 | int k;
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| 183 | int nr = mat->num_rows;
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| 184 | int nc = mat->num_cols;
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| 185 | double * rtn;
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| 186 |
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| 187 | rtn = (double *) malloc ((mat->num_rows) * (mat->num_cols) * sizeof(double));
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| 188 | for (i = 0; i < nr;i++)
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| 189 | for (j = 0; j < nc; j++)
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| 190 | rtn[i*nc + j] = 0.0;
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| 191 | k = 0;
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| 192 | for (i = 0; i < nr; i++)
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| 193 | while(k < mat->i[i+1])
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| 194 | for (j = 0; (k < mat->num_nonzeros) && (j < nc); j++)
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| 195 | if (j == mat->j[k]){
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| 196 | rtn[i*nc + j] = mat->data[k];
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| 197 | k++;
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| 198 | j = nc; /* break */
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| 199 | }
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| 200 |
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| 201 | return rtn;
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| 202 | }
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| 203 |
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| 204 | int main() {
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| 205 | int i;
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| 206 | int j;
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| 207 | int k;
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| 208 | int xnz;
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| 209 | int ynz;
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| 210 | double tmp;
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| 211 | double * sum;
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| 212 | hypre_CSRMatrix * X;
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| 213 | hypre_CSRMatrix * Y;
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| 214 | hypre_CSRMatrix * Z;
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| 215 |
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| 216 | xnz = 0;
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| 217 | for (i=0; i < N*M; i++)
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| 218 | if (A0[i] != 0)
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| 219 | xnz = xnz + 1;
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| 220 | ynz = 0;
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| 221 | for (i=0; i < N*M; i++)
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| 222 | if (B0[i] != 0)
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| 223 | ynz = ynz + 1;
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| 224 | X = hypre_CSRMatrixCreate(N,M, xnz);
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| 225 | Y = hypre_CSRMatrixCreate(N,M, ynz);
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| 226 | hypre_CSRMatrixInitialize(X);
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| 227 | hypre_CSRMatrixInitialize(Y);
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| 228 | k = 0;
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| 229 | X->i[0] = k;
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| 230 | for (i = 0; i < N; i++){
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| 231 | for (j = 0; j < M; j++){
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| 232 | tmp = A0[i*M + j];
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| 233 | if (tmp != 0){
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| 234 | X->data[k] = tmp;
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| 235 | X->j[k] = j;
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| 236 | k++;
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| 237 | }
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| 238 | }
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| 239 | X->i[i+1] = k;
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| 240 | }
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| 241 | k = 0;
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| 242 | Y->i[0] = k;
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| 243 | for (i = 0; i < N; i++){
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| 244 | for (j = 0; j < M; j++){
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| 245 | tmp = B0[i*M + j];
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| 246 | if (tmp != 0){
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| 247 | Y->data[k] = tmp;
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| 248 | Y->j[k] = j;
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| 249 | k++;
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| 250 | }
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| 251 | }
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| 252 | Y->i[i+1] = k;
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| 253 | }
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| 254 | Z = hypre_CSRMatrixAdd(X,Y);
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| 255 | sum = expand(Z);
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| 256 | for (i=0; i<N*M; i++)
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| 257 | OUTS[i] = sum[i];
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| 258 | free_CSR(X);
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| 259 | free_CSR(Y);
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| 260 | free_CSR(Z);
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| 261 | free(sum);
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| 262 | return 0;
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| 263 | }
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