xref: /petsc/src/mat/tests/ex91.c (revision 030f984af8d8bb4c203755d35bded3c05b3d83ce)
1 
2 static char help[] = "Tests MatIncreaseOverlap(), MatCreateSubMatrices() for sequential MatSBAIJ format. Derived from ex51.c\n";
3 
4 #include <petscmat.h>
5 
6 int main(int argc,char **args)
7 {
8   Mat            A,Atrans,sA,*submatA,*submatsA;
9   PetscInt       bs=1,m=43,ov=1,i,j,k,*rows,*cols,M,nd=5,*idx,mm,nn;
10   PetscErrorCode ierr;
11   PetscMPIInt    size;
12   PetscScalar    *vals,rval,one=1.0;
13   IS             *is1,*is2;
14   PetscRandom    rand;
15   Vec            xx,s1,s2;
16   PetscReal      s1norm,s2norm,rnorm,tol = 10*PETSC_SMALL;
17   PetscBool      flg;
18 
19   ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr;
20   ierr = PetscOptionsGetInt(NULL,NULL,"-mat_block_size",&bs,NULL);CHKERRQ(ierr);
21   ierr = PetscOptionsGetInt(NULL,NULL,"-mat_size",&m,NULL);CHKERRQ(ierr);
22   ierr = PetscOptionsGetInt(NULL,NULL,"-ov",&ov,NULL);CHKERRQ(ierr);
23   ierr = PetscOptionsGetInt(NULL,NULL,"-nd",&nd,NULL);CHKERRQ(ierr);
24 
25   /* create a SeqBAIJ matrix A */
26   M    = m*bs;
27   ierr = MatCreateSeqBAIJ(PETSC_COMM_SELF,bs,M,M,1,NULL,&A);CHKERRQ(ierr);
28   ierr = MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE);CHKERRQ(ierr);
29   ierr = PetscRandomCreate(PETSC_COMM_SELF,&rand);CHKERRQ(ierr);
30   ierr = PetscRandomSetFromOptions(rand);CHKERRQ(ierr);
31 
32   ierr = PetscMalloc1(bs,&rows);CHKERRQ(ierr);
33   ierr = PetscMalloc1(bs,&cols);CHKERRQ(ierr);
34   ierr = PetscMalloc1(bs*bs,&vals);CHKERRQ(ierr);
35   ierr = PetscMalloc1(M,&idx);CHKERRQ(ierr);
36 
37   /* Now set blocks of random values */
38   /* first, set diagonal blocks as zero */
39   for (j=0; j<bs*bs; j++) vals[j] = 0.0;
40   for (i=0; i<m; i++) {
41     cols[0] = i*bs; rows[0] = i*bs;
42     for (j=1; j<bs; j++) {
43       rows[j] = rows[j-1]+1;
44       cols[j] = cols[j-1]+1;
45     }
46     ierr = MatSetValues(A,bs,rows,bs,cols,vals,ADD_VALUES);CHKERRQ(ierr);
47   }
48   /* second, add random blocks */
49   for (i=0; i<20*bs; i++) {
50     ierr    = PetscRandomGetValue(rand,&rval);CHKERRQ(ierr);
51     cols[0] = bs*(int)(PetscRealPart(rval)*m);
52     ierr    = PetscRandomGetValue(rand,&rval);CHKERRQ(ierr);
53     rows[0] = bs*(int)(PetscRealPart(rval)*m);
54     for (j=1; j<bs; j++) {
55       rows[j] = rows[j-1]+1;
56       cols[j] = cols[j-1]+1;
57     }
58 
59     for (j=0; j<bs*bs; j++) {
60       ierr    = PetscRandomGetValue(rand,&rval);CHKERRQ(ierr);
61       vals[j] = rval;
62     }
63     ierr = MatSetValues(A,bs,rows,bs,cols,vals,ADD_VALUES);CHKERRQ(ierr);
64   }
65 
66   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
67   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
68 
69   /* make A a symmetric matrix: A <- A^T + A */
70   ierr = MatTranspose(A,MAT_INITIAL_MATRIX, &Atrans);CHKERRQ(ierr);
71   ierr = MatAXPY(A,one,Atrans,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr);
72   ierr = MatDestroy(&Atrans);CHKERRQ(ierr);
73   ierr = MatTranspose(A,MAT_INITIAL_MATRIX, &Atrans);CHKERRQ(ierr);
74   ierr = MatEqual(A, Atrans, &flg);CHKERRQ(ierr);
75   if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"A+A^T is non-symmetric");
76   ierr = MatDestroy(&Atrans);CHKERRQ(ierr);
77 
78   /* create a SeqSBAIJ matrix sA (= A) */
79   ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
80   ierr = MatConvert(A,MATSEQSBAIJ,MAT_INITIAL_MATRIX,&sA);CHKERRQ(ierr);
81 
82   /* Test sA==A through MatMult() */
83   for (i=0; i<nd; i++) {
84     ierr = MatGetSize(A,&mm,&nn);CHKERRQ(ierr);
85     ierr = VecCreateSeq(PETSC_COMM_SELF,mm,&xx);CHKERRQ(ierr);
86     ierr = VecDuplicate(xx,&s1);CHKERRQ(ierr);
87     ierr = VecDuplicate(xx,&s2);CHKERRQ(ierr);
88     for (j=0; j<3; j++) {
89       ierr  = VecSetRandom(xx,rand);CHKERRQ(ierr);
90       ierr  = MatMult(A,xx,s1);CHKERRQ(ierr);
91       ierr  = MatMult(sA,xx,s2);CHKERRQ(ierr);
92       ierr  = VecNorm(s1,NORM_2,&s1norm);CHKERRQ(ierr);
93       ierr  = VecNorm(s2,NORM_2,&s2norm);CHKERRQ(ierr);
94       rnorm = s2norm-s1norm;
95       if (rnorm<-tol || rnorm>tol) {
96         ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatMult - Norm1=%16.14e Norm2=%16.14e\n",s1norm,s2norm);CHKERRQ(ierr);
97       }
98     }
99     ierr = VecDestroy(&xx);CHKERRQ(ierr);
100     ierr = VecDestroy(&s1);CHKERRQ(ierr);
101     ierr = VecDestroy(&s2);CHKERRQ(ierr);
102   }
103 
104   /* Test MatIncreaseOverlap() */
105   ierr = PetscMalloc1(nd,&is1);CHKERRQ(ierr);
106   ierr = PetscMalloc1(nd,&is2);CHKERRQ(ierr);
107 
108   for (i=0; i<nd; i++) {
109     ierr = PetscRandomGetValue(rand,&rval);CHKERRQ(ierr);
110     size = (int)(PetscRealPart(rval)*m);
111     for (j=0; j<size; j++) {
112       ierr      = PetscRandomGetValue(rand,&rval);CHKERRQ(ierr);
113       idx[j*bs] = bs*(int)(PetscRealPart(rval)*m);
114       for (k=1; k<bs; k++) idx[j*bs+k] = idx[j*bs]+k;
115     }
116     ierr = ISCreateGeneral(PETSC_COMM_SELF,size*bs,idx,PETSC_COPY_VALUES,is1+i);CHKERRQ(ierr);
117     ierr = ISCreateGeneral(PETSC_COMM_SELF,size*bs,idx,PETSC_COPY_VALUES,is2+i);CHKERRQ(ierr);
118   }
119   /* for debugging */
120   /*
121   ierr = MatView(A,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
122   ierr = MatView(sA,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
123   */
124 
125   ierr = MatIncreaseOverlap(A,nd,is1,ov);CHKERRQ(ierr);
126   ierr = MatIncreaseOverlap(sA,nd,is2,ov);CHKERRQ(ierr);
127 
128   for (i=0; i<nd; ++i) {
129     ierr = ISSort(is1[i]);CHKERRQ(ierr);
130     ierr = ISSort(is2[i]);CHKERRQ(ierr);
131   }
132 
133   for (i=0; i<nd; ++i) {
134     ierr = ISEqual(is1[i],is2[i],&flg);CHKERRQ(ierr);
135     if (!flg) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"i=%d, is1 != is2",i);
136   }
137 
138   ierr = MatCreateSubMatrices(A,nd,is1,is1,MAT_INITIAL_MATRIX,&submatA);CHKERRQ(ierr);
139   ierr = MatCreateSubMatrices(sA,nd,is2,is2,MAT_INITIAL_MATRIX,&submatsA);CHKERRQ(ierr);
140 
141   /* Test MatMult() */
142   for (i=0; i<nd; i++) {
143     ierr = MatGetSize(submatA[i],&mm,&nn);CHKERRQ(ierr);
144     ierr = VecCreateSeq(PETSC_COMM_SELF,mm,&xx);CHKERRQ(ierr);
145     ierr = VecDuplicate(xx,&s1);CHKERRQ(ierr);
146     ierr = VecDuplicate(xx,&s2);CHKERRQ(ierr);
147     for (j=0; j<3; j++) {
148       ierr  = VecSetRandom(xx,rand);CHKERRQ(ierr);
149       ierr  = MatMult(submatA[i],xx,s1);CHKERRQ(ierr);
150       ierr  = MatMult(submatsA[i],xx,s2);CHKERRQ(ierr);
151       ierr  = VecNorm(s1,NORM_2,&s1norm);CHKERRQ(ierr);
152       ierr  = VecNorm(s2,NORM_2,&s2norm);CHKERRQ(ierr);
153       rnorm = s2norm-s1norm;
154       if (rnorm<-tol || rnorm>tol) {
155         ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatMult - Norm1=%16.14e Norm2=%16.14e\n",s1norm,s2norm);CHKERRQ(ierr);
156       }
157     }
158     ierr = VecDestroy(&xx);CHKERRQ(ierr);
159     ierr = VecDestroy(&s1);CHKERRQ(ierr);
160     ierr = VecDestroy(&s2);CHKERRQ(ierr);
161   }
162 
163   /* Now test MatCreateSubmatrices with MAT_REUSE_MATRIX option */
164   ierr = MatCreateSubMatrices(A,nd,is1,is1,MAT_REUSE_MATRIX,&submatA);CHKERRQ(ierr);
165   ierr = MatCreateSubMatrices(sA,nd,is2,is2,MAT_REUSE_MATRIX,&submatsA);CHKERRQ(ierr);
166 
167   /* Test MatMult() */
168   for (i=0; i<nd; i++) {
169     ierr = MatGetSize(submatA[i],&mm,&nn);CHKERRQ(ierr);
170     ierr = VecCreateSeq(PETSC_COMM_SELF,mm,&xx);CHKERRQ(ierr);
171     ierr = VecDuplicate(xx,&s1);CHKERRQ(ierr);
172     ierr = VecDuplicate(xx,&s2);CHKERRQ(ierr);
173     for (j=0; j<3; j++) {
174       ierr  = VecSetRandom(xx,rand);CHKERRQ(ierr);
175       ierr  = MatMult(submatA[i],xx,s1);CHKERRQ(ierr);
176       ierr  = MatMult(submatsA[i],xx,s2);CHKERRQ(ierr);
177       ierr  = VecNorm(s1,NORM_2,&s1norm);CHKERRQ(ierr);
178       ierr  = VecNorm(s2,NORM_2,&s2norm);CHKERRQ(ierr);
179       rnorm = s2norm-s1norm;
180       if (rnorm<-tol || rnorm>tol) {
181         ierr = PetscPrintf(PETSC_COMM_SELF,"Error:MatMult - Norm1=%16.14e Norm2=%16.14e\n",s1norm,s2norm);CHKERRQ(ierr);
182       }
183     }
184     ierr = VecDestroy(&xx);CHKERRQ(ierr);
185     ierr = VecDestroy(&s1);CHKERRQ(ierr);
186     ierr = VecDestroy(&s2);CHKERRQ(ierr);
187   }
188 
189   /* Free allocated memory */
190   for (i=0; i<nd; ++i) {
191     ierr = ISDestroy(&is1[i]);CHKERRQ(ierr);
192     ierr = ISDestroy(&is2[i]);CHKERRQ(ierr);
193   }
194   ierr = MatDestroySubMatrices(nd,&submatA);CHKERRQ(ierr);
195   ierr = MatDestroySubMatrices(nd,&submatsA);CHKERRQ(ierr);
196 
197   ierr = PetscFree(is1);CHKERRQ(ierr);
198   ierr = PetscFree(is2);CHKERRQ(ierr);
199   ierr = PetscFree(idx);CHKERRQ(ierr);
200   ierr = PetscFree(rows);CHKERRQ(ierr);
201   ierr = PetscFree(cols);CHKERRQ(ierr);
202   ierr = PetscFree(vals);CHKERRQ(ierr);
203   ierr = MatDestroy(&A);CHKERRQ(ierr);
204   ierr = MatDestroy(&sA);CHKERRQ(ierr);
205   ierr = PetscRandomDestroy(&rand);CHKERRQ(ierr);
206   ierr = PetscFinalize();
207   return ierr;
208 }
209 
210 /*TEST
211 
212    test:
213       args: -ov 2
214 
215 TEST*/
216