1 static char help[] = "Test MatMatMult() for AIJ and Dense matrices.\n\n"; 2 3 #include <petscmat.h> 4 5 int main(int argc,char **argv) 6 { 7 Mat A,B,C,D,AT; 8 PetscInt i,M,N,Istart,Iend,n=7,j,J,Ii,m=8,am,an; 9 PetscScalar v; 10 PetscRandom r; 11 PetscBool equal=PETSC_FALSE,flg; 12 PetscReal fill = 1.0,norm; 13 PetscMPIInt size; 14 15 PetscCall(PetscInitialize(&argc,&argv,(char*)0,help)); 16 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); 17 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); 18 PetscCall(PetscOptionsGetReal(NULL,NULL,"-fill",&fill,NULL)); 19 20 PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&r)); 21 PetscCall(PetscRandomSetFromOptions(r)); 22 23 /* Create a aij matrix A */ 24 M = N = m*n; 25 PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); 26 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,M,N)); 27 PetscCall(MatSetType(A,MATAIJ)); 28 PetscCall(MatSetFromOptions(A)); 29 PetscCall(MatMPIAIJSetPreallocation(A,5,NULL,5,NULL)); 30 PetscCall(MatSeqAIJSetPreallocation(A,5,NULL)); 31 32 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); 33 am = Iend - Istart; 34 for (Ii=Istart; Ii<Iend; Ii++) { 35 v = -1.0; i = Ii/n; j = Ii - i*n; 36 if (i>0) {J = Ii - n; PetscCall(MatSetValues(A,1,&Ii,1,&J,&v,INSERT_VALUES));} 37 if (i<m-1) {J = Ii + n; PetscCall(MatSetValues(A,1,&Ii,1,&J,&v,INSERT_VALUES));} 38 if (j>0) {J = Ii - 1; PetscCall(MatSetValues(A,1,&Ii,1,&J,&v,INSERT_VALUES));} 39 if (j<n-1) {J = Ii + 1; PetscCall(MatSetValues(A,1,&Ii,1,&J,&v,INSERT_VALUES));} 40 v = 4.0; PetscCall(MatSetValues(A,1,&Ii,1,&Ii,&v,INSERT_VALUES)); 41 } 42 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); 43 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); 44 45 /* Create a dense matrix B */ 46 PetscCall(MatGetLocalSize(A,&am,&an)); 47 PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); 48 PetscCall(MatSetSizes(B,an,PETSC_DECIDE,PETSC_DECIDE,M)); 49 PetscCall(MatSetType(B,MATDENSE)); 50 PetscCall(MatSeqDenseSetPreallocation(B,NULL)); 51 PetscCall(MatMPIDenseSetPreallocation(B,NULL)); 52 PetscCall(MatSetFromOptions(B)); 53 PetscCall(MatSetRandom(B,r)); 54 PetscCall(PetscRandomDestroy(&r)); 55 56 /* Test reuse of user-provided dense C (unassembled) -- not recommended usage */ 57 PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); 58 PetscCall(MatSetType(C,MATDENSE)); 59 PetscCall(MatSetSizes(C,am,PETSC_DECIDE,PETSC_DECIDE,N)); 60 PetscCall(MatSetFromOptions(C)); 61 PetscCall(MatSetUp(C)); 62 PetscCall(MatZeroEntries(C)); 63 PetscCall(MatMatMult(A,B,MAT_REUSE_MATRIX,fill,&C)); 64 PetscCall(MatNorm(C,NORM_INFINITY,&norm)); 65 PetscCall(MatDestroy(&C)); 66 67 /* Test C = A*B (aij*dense) */ 68 PetscCall(MatMatMult(A,B,MAT_INITIAL_MATRIX,fill,&C)); 69 PetscCall(MatMatMult(A,B,MAT_REUSE_MATRIX,fill,&C)); 70 71 /* Test developer API */ 72 PetscCall(MatProductCreate(A,B,NULL,&D)); 73 PetscCall(MatProductSetType(D,MATPRODUCT_AB)); 74 PetscCall(MatProductSetAlgorithm(D,"default")); 75 PetscCall(MatProductSetFill(D,fill)); 76 PetscCall(MatProductSetFromOptions(D)); 77 PetscCall(MatProductSymbolic(D)); 78 for (i=0; i<2; i++) { 79 PetscCall(MatProductNumeric(D)); 80 } 81 PetscCall(MatEqual(C,D,&equal)); 82 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"C != D"); 83 PetscCall(MatDestroy(&D)); 84 85 /* Test D = AT*B (transpose(aij)*dense) */ 86 PetscCall(MatCreateTranspose(A,&AT)); 87 PetscCall(MatMatMult(AT,B,MAT_INITIAL_MATRIX,fill,&D)); 88 PetscCall(MatMatMultEqual(AT,B,D,10,&equal)); 89 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"D != AT*B (transpose(aij)*dense)"); 90 PetscCall(MatDestroy(&D)); 91 PetscCall(MatDestroy(&AT)); 92 93 /* Test D = C*A (dense*aij) */ 94 PetscCall(MatMatMult(C,A,MAT_INITIAL_MATRIX,fill,&D)); 95 PetscCall(MatMatMult(C,A,MAT_REUSE_MATRIX,fill,&D)); 96 PetscCall(MatMatMultEqual(C,A,D,10,&equal)); 97 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"D != C*A (dense*aij)"); 98 PetscCall(MatDestroy(&D)); 99 100 /* Test D = A*C (aij*dense) */ 101 PetscCall(MatMatMult(A,C,MAT_INITIAL_MATRIX,fill,&D)); 102 PetscCall(MatMatMult(A,C,MAT_REUSE_MATRIX,fill,&D)); 103 PetscCall(MatMatMultEqual(A,C,D,10,&equal)); 104 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"D != A*C (aij*dense)"); 105 PetscCall(MatDestroy(&D)); 106 107 /* Test D = B*C (dense*dense) */ 108 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size)); 109 if (size == 1) { 110 PetscCall(MatMatMult(B,C,MAT_INITIAL_MATRIX,fill,&D)); 111 PetscCall(MatMatMult(B,C,MAT_REUSE_MATRIX,fill,&D)); 112 PetscCall(MatMatMultEqual(B,C,D,10,&equal)); 113 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"D != B*C (dense*dense)"); 114 PetscCall(MatDestroy(&D)); 115 } 116 117 /* Test D = B*C^T (dense*dense) */ 118 PetscCall(MatMatTransposeMult(B,C,MAT_INITIAL_MATRIX,fill,&D)); 119 PetscCall(MatMatTransposeMult(B,C,MAT_REUSE_MATRIX,fill,&D)); 120 PetscCall(MatMatTransposeMultEqual(B,C,D,10,&equal)); 121 PetscCheck(equal,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"D != B*C^T (dense*dense)"); 122 PetscCall(MatDestroy(&D)); 123 124 /* Test MatProductCreateWithMat() and reuse C and B for B = A*C */ 125 flg = PETSC_FALSE; 126 PetscCall(PetscOptionsHasName(NULL,NULL,"-test_userAPI",&flg)); 127 if (flg) { 128 /* user driver */ 129 PetscCall(MatMatMult(A,C,MAT_REUSE_MATRIX,fill,&B)); 130 } else { 131 /* clear internal data structures related with previous products to avoid circular references */ 132 PetscCall(MatProductClear(A)); 133 PetscCall(MatProductClear(B)); 134 PetscCall(MatProductClear(C)); 135 PetscCall(MatProductCreateWithMat(A,C,NULL,B)); 136 PetscCall(MatProductSetType(B,MATPRODUCT_AB)); 137 PetscCall(MatProductSetFromOptions(B)); 138 PetscCall(MatProductSymbolic(B)); 139 PetscCall(MatProductNumeric(B)); 140 } 141 142 PetscCall(MatDestroy(&C)); 143 PetscCall(MatDestroy(&B)); 144 PetscCall(MatDestroy(&A)); 145 PetscCall(PetscFinalize()); 146 return 0; 147 } 148 149 /*TEST 150 151 test: 152 args: -M 10 -N 10 153 output_file: output/ex109.out 154 155 test: 156 suffix: 2 157 nsize: 3 158 output_file: output/ex109.out 159 160 test: 161 suffix: 3 162 nsize: 2 163 args: -matmattransmult_mpidense_mpidense_via cyclic 164 output_file: output/ex109.out 165 166 test: 167 suffix: 4 168 args: -test_userAPI 169 output_file: output/ex109.out 170 171 test: 172 suffix: 5 173 nsize: 3 174 args: -test_userAPI 175 output_file: output/ex109.out 176 177 TEST*/ 178