xref: /petsc/src/mat/tests/ex161.c (revision 58d68138c660dfb4e9f5b03334792cd4f2ffd7cc)
1 static char help[] = "Test MatTransposeColoring for SeqAIJ matrices. Used for '-matmattransmult_color' on  MatMatTransposeMult \n\n";
2 
3 #include <petscmat.h>
4 #include <petsc/private/matimpl.h> /* Need struct _p_MatTransposeColoring for this test. */
5 
6 int main(int argc, char **argv) {
7   Mat                  A, R, C, C_dense, C_sparse, Rt_dense, P, PtAP;
8   PetscInt             row, col, m, n;
9   MatScalar            one = 1.0, val;
10   MatColoring          mc;
11   MatTransposeColoring matcoloring = 0;
12   ISColoring           iscoloring;
13   PetscBool            equal;
14   PetscMPIInt          size;
15 
16   PetscFunctionBeginUser;
17   PetscCall(PetscInitialize(&argc, &argv, (char *)0, help));
18   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
19   PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only!");
20 
21   /* Create seqaij A */
22   PetscCall(MatCreate(PETSC_COMM_SELF, &A));
23   PetscCall(MatSetSizes(A, 4, 4, 4, 4));
24   PetscCall(MatSetType(A, MATSEQAIJ));
25   PetscCall(MatSetFromOptions(A));
26   PetscCall(MatSetUp(A));
27   row = 0;
28   col = 0;
29   val = 1.0;
30   PetscCall(MatSetValues(A, 1, &row, 1, &col, &val, ADD_VALUES));
31   row = 1;
32   col = 3;
33   val = 2.0;
34   PetscCall(MatSetValues(A, 1, &row, 1, &col, &val, ADD_VALUES));
35   row = 2;
36   col = 2;
37   val = 3.0;
38   PetscCall(MatSetValues(A, 1, &row, 1, &col, &val, ADD_VALUES));
39   row = 3;
40   col = 0;
41   val = 4.0;
42   PetscCall(MatSetValues(A, 1, &row, 1, &col, &val, ADD_VALUES));
43   PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
44   PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
45   PetscCall(MatSetOptionsPrefix(A, "A_"));
46   PetscCall(MatView(A, PETSC_VIEWER_STDOUT_WORLD));
47   PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
48 
49   /* Create seqaij R */
50   PetscCall(MatCreate(PETSC_COMM_SELF, &R));
51   PetscCall(MatSetSizes(R, 2, 4, 2, 4));
52   PetscCall(MatSetType(R, MATSEQAIJ));
53   PetscCall(MatSetFromOptions(R));
54   PetscCall(MatSetUp(R));
55   row = 0;
56   col = 0;
57   PetscCall(MatSetValues(R, 1, &row, 1, &col, &one, ADD_VALUES));
58   row = 0;
59   col = 1;
60   PetscCall(MatSetValues(R, 1, &row, 1, &col, &one, ADD_VALUES));
61 
62   row = 1;
63   col = 1;
64   PetscCall(MatSetValues(R, 1, &row, 1, &col, &one, ADD_VALUES));
65   row = 1;
66   col = 2;
67   PetscCall(MatSetValues(R, 1, &row, 1, &col, &one, ADD_VALUES));
68   row = 1;
69   col = 3;
70   PetscCall(MatSetValues(R, 1, &row, 1, &col, &one, ADD_VALUES));
71   PetscCall(MatAssemblyBegin(R, MAT_FINAL_ASSEMBLY));
72   PetscCall(MatAssemblyEnd(R, MAT_FINAL_ASSEMBLY));
73   PetscCall(MatSetOptionsPrefix(R, "R_"));
74   PetscCall(MatView(R, PETSC_VIEWER_STDOUT_WORLD));
75   PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
76 
77   /* C = A*R^T */
78   PetscCall(MatMatTransposeMult(A, R, MAT_INITIAL_MATRIX, 2.0, &C));
79   PetscCall(MatSetOptionsPrefix(C, "ARt_"));
80   PetscCall(MatView(C, PETSC_VIEWER_STDOUT_WORLD));
81   PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
82 
83   /* Create MatTransposeColoring from symbolic C=A*R^T */
84   PetscCall(MatColoringCreate(C, &mc));
85   PetscCall(MatColoringSetDistance(mc, 2));
86   /* PetscCall(MatColoringSetType(mc,MATCOLORINGSL)); */
87   PetscCall(MatColoringSetFromOptions(mc));
88   PetscCall(MatColoringApply(mc, &iscoloring));
89   PetscCall(MatColoringDestroy(&mc));
90   PetscCall(MatTransposeColoringCreate(C, iscoloring, &matcoloring));
91   PetscCall(ISColoringDestroy(&iscoloring));
92 
93   /* Create Rt_dense */
94   PetscCall(MatCreate(PETSC_COMM_WORLD, &Rt_dense));
95   PetscCall(MatSetSizes(Rt_dense, 4, matcoloring->ncolors, PETSC_DECIDE, PETSC_DECIDE));
96   PetscCall(MatSetType(Rt_dense, MATDENSE));
97   PetscCall(MatSeqDenseSetPreallocation(Rt_dense, NULL));
98   PetscCall(MatAssemblyBegin(Rt_dense, MAT_FINAL_ASSEMBLY));
99   PetscCall(MatAssemblyEnd(Rt_dense, MAT_FINAL_ASSEMBLY));
100   PetscCall(MatGetLocalSize(Rt_dense, &m, &n));
101   PetscCall(PetscPrintf(PETSC_COMM_SELF, "Rt_dense: %" PetscInt_FMT ",%" PetscInt_FMT "\n", m, n));
102 
103   /* Get Rt_dense by Apply MatTransposeColoring to R */
104   PetscCall(MatTransColoringApplySpToDen(matcoloring, R, Rt_dense));
105 
106   /* C_dense = A*Rt_dense */
107   PetscCall(MatMatMult(A, Rt_dense, MAT_INITIAL_MATRIX, 2.0, &C_dense));
108   PetscCall(MatSetOptionsPrefix(C_dense, "ARt_dense_"));
109   /*PetscCall(MatView(C_dense,PETSC_VIEWER_STDOUT_WORLD)); */
110   /*PetscCall(PetscPrintf(PETSC_COMM_SELF,"\n")); */
111 
112   /* Recover C from C_dense */
113   PetscCall(MatDuplicate(C, MAT_DO_NOT_COPY_VALUES, &C_sparse));
114   PetscCall(MatTransColoringApplyDenToSp(matcoloring, C_dense, C_sparse));
115   PetscCall(MatSetOptionsPrefix(C_sparse, "ARt_color_"));
116   PetscCall(MatView(C_sparse, PETSC_VIEWER_STDOUT_WORLD));
117   PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
118 
119   PetscCall(MatDestroy(&C_dense));
120   PetscCall(MatDestroy(&C_sparse));
121   PetscCall(MatDestroy(&Rt_dense));
122   PetscCall(MatTransposeColoringDestroy(&matcoloring));
123   PetscCall(MatDestroy(&C));
124 
125   /* Test PtAP = P^T*A*P, P = R^T */
126   PetscCall(MatTranspose(R, MAT_INITIAL_MATRIX, &P));
127   PetscCall(MatPtAP(A, P, MAT_INITIAL_MATRIX, 2.0, &PtAP));
128   PetscCall(MatSetOptionsPrefix(PtAP, "PtAP_"));
129   PetscCall(MatView(PtAP, PETSC_VIEWER_STDOUT_WORLD));
130   PetscCall(MatDestroy(&P));
131 
132   /* Test C = RARt */
133   PetscCall(MatRARt(A, R, MAT_INITIAL_MATRIX, 2.0, &C));
134   PetscCall(MatRARt(A, R, MAT_REUSE_MATRIX, 2.0, &C));
135   PetscCall(MatEqual(C, PtAP, &equal));
136   PetscCheck(equal, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error: PtAP != RARt");
137 
138   /* Free spaces */
139   PetscCall(MatDestroy(&C));
140   PetscCall(MatDestroy(&A));
141   PetscCall(MatDestroy(&R));
142   PetscCall(MatDestroy(&PtAP));
143   PetscCall(PetscFinalize());
144   return 0;
145 }
146 
147 /*TEST
148 
149    test:
150       output_file: output/ex161.out
151    test:
152       suffix: 2
153       args: -matmattransmult_via color
154       output_file: output/ex161.out
155 
156    test:
157       suffix: 3
158       args: -matmattransmult_via color -matden2sp_brows 3
159       output_file: output/ex161.out
160 
161    test:
162       suffix: 4
163       args: -matmattransmult_via color -matrart_via r*art
164       output_file: output/ex161.out
165 
166    test:
167       suffix: 5
168       args: -matmattransmult_via color -matrart_via coloring_rart
169       output_file: output/ex161.out
170 
171 TEST*/
172