xref: /petsc/src/mat/tests/ex66.c (revision bef158480efac06de457f7a665168877ab3c2fd7)
1 static char help[] = "Tests MATHARA\n\n";
2 
3 #include <petscmat.h>
4 #include <petscsf.h>
5 
6 static PetscScalar GenEntry_Symm(PetscInt sdim, PetscReal x[], PetscReal y[], void *ctx)
7 {
8     PetscInt  d;
9     PetscReal clength = sdim == 3 ? 0.2 : 0.1;
10     PetscReal dist, diff = 0.0;
11 
12     for (d = 0; d < sdim; d++) { diff += (x[d] - y[d]) * (x[d] - y[d]); }
13     dist = PetscSqrtReal(diff);
14     return PetscExpReal(-dist / clength);
15 }
16 
17 static PetscScalar GenEntry_Unsymm(PetscInt sdim, PetscReal x[], PetscReal y[], void *ctx)
18 {
19     PetscInt  d;
20     PetscReal clength = sdim == 3 ? 0.2 : 0.1;
21     PetscReal dist, diff = 0.0, nx = 0.0, ny = 0.0;
22 
23     for (d = 0; d < sdim; d++) { nx += x[d]*x[d]; }
24     for (d = 0; d < sdim; d++) { ny += y[d]*y[d]; }
25     for (d = 0; d < sdim; d++) { diff += (x[d] - y[d]) * (x[d] - y[d]); }
26     dist = PetscSqrtReal(diff);
27     return nx > ny ? PetscExpReal(-dist / clength) : PetscExpReal(-dist / clength) + 1.;
28 }
29 
30 int main(int argc,char **argv)
31 {
32   Mat            A,B,C,D;
33   Vec            v,x,y,Ax,Ay,Bx,By;
34   PetscRandom    r;
35   PetscLayout    map;
36   PetscScalar    *Adata = NULL, *Cdata = NULL, scale = 1.0;
37   PetscReal      *coords,nA,nD,nB,err,nX,norms[3];
38   PetscInt       N, n = 64, dim = 1, i, j, nrhs = 11, lda = 0, ldc = 0, nt, ntrials = 2;
39   PetscMPIInt    size,rank;
40   PetscBool      testlayout = PETSC_FALSE,flg,symm = PETSC_FALSE, Asymm = PETSC_TRUE, kernel = PETSC_TRUE;
41   PetscBool      checkexpl = PETSC_FALSE, agpu = PETSC_FALSE, bgpu = PETSC_FALSE, cgpu = PETSC_FALSE;
42   PetscBool      testtrans, testnorm, randommat = PETSC_TRUE;
43   void           (*approxnormfunc)(void);
44   void           (*Anormfunc)(void);
45   PetscErrorCode ierr;
46 
47   PETSC_MPI_THREAD_REQUIRED = MPI_THREAD_MULTIPLE;
48   ierr = PetscInitialize(&argc,&argv,(char*) 0,help);if (ierr) return ierr;
49   ierr = PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);CHKERRQ(ierr);
50   ierr = PetscOptionsGetInt(NULL,NULL,"-nrhs",&nrhs,NULL);CHKERRQ(ierr);
51   ierr = PetscOptionsGetInt(NULL,NULL,"-dim",&dim,NULL);CHKERRQ(ierr);
52   ierr = PetscOptionsGetInt(NULL,NULL,"-lda",&lda,NULL);CHKERRQ(ierr);
53   ierr = PetscOptionsGetInt(NULL,NULL,"-ldc",&ldc,NULL);CHKERRQ(ierr);
54   ierr = PetscOptionsGetInt(NULL,NULL,"-matmattrials",&ntrials,NULL);CHKERRQ(ierr);
55   ierr = PetscOptionsGetBool(NULL,NULL,"-randommat",&randommat,NULL);CHKERRQ(ierr);
56   ierr = PetscOptionsGetBool(NULL,NULL,"-testlayout",&testlayout,NULL);CHKERRQ(ierr);
57   ierr = PetscOptionsGetBool(NULL,NULL,"-Asymm",&Asymm,NULL);CHKERRQ(ierr);
58   ierr = PetscOptionsGetBool(NULL,NULL,"-symm",&symm,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsGetBool(NULL,NULL,"-kernel",&kernel,NULL);CHKERRQ(ierr);
60   ierr = PetscOptionsGetBool(NULL,NULL,"-checkexpl",&checkexpl,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsGetBool(NULL,NULL,"-agpu",&agpu,NULL);CHKERRQ(ierr);
62   ierr = PetscOptionsGetBool(NULL,NULL,"-bgpu",&bgpu,NULL);CHKERRQ(ierr);
63   ierr = PetscOptionsGetBool(NULL,NULL,"-cgpu",&cgpu,NULL);CHKERRQ(ierr);
64   ierr = PetscOptionsGetScalar(NULL,NULL,"-scale",&scale,NULL);CHKERRQ(ierr);
65   if (!Asymm) symm = PETSC_FALSE;
66 
67   ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
68   /* MatMultTranspose for nonsymmetric matrices not implemented */
69   testtrans = (PetscBool)(size == 1 || symm);
70   testnorm = (PetscBool)(size == 1 || symm);
71 
72   ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
73   ierr = PetscLayoutCreate(PETSC_COMM_WORLD,&map);CHKERRQ(ierr);
74   if (testlayout) {
75     if (rank%2) n = PetscMax(2*n-5*rank,0);
76     else n = 2*n+rank;
77   }
78   ierr = PetscLayoutSetLocalSize(map,n);CHKERRQ(ierr);
79   ierr = PetscLayoutSetUp(map);CHKERRQ(ierr);
80   ierr = PetscLayoutGetSize(map,&N);CHKERRQ(ierr);
81   ierr = PetscLayoutDestroy(&map);CHKERRQ(ierr);
82 
83   ierr = PetscRandomCreate(PETSC_COMM_WORLD,&r);CHKERRQ(ierr);
84   ierr = PetscRandomSetFromOptions(r);CHKERRQ(ierr);
85   if (lda) {
86     ierr = PetscMalloc1(N*(n+lda),&Adata);CHKERRQ(ierr);
87   }
88   ierr = MatCreateDense(PETSC_COMM_WORLD,n,n,N,N,Adata,&A);CHKERRQ(ierr);
89   ierr = MatDenseSetLDA(A,n+lda);CHKERRQ(ierr);
90   ierr = PetscMalloc1(n*dim,&coords);CHKERRQ(ierr);
91   for (j = 0; j < n; j++) {
92     for (i = 0; i < dim; i++) {
93       PetscScalar a;
94 
95       ierr = PetscRandomGetValue(r,&a);CHKERRQ(ierr);
96       coords[j*dim + i] = PetscRealPart(a);
97     }
98   }
99   if (kernel || !randommat) {
100     MatHaraKernel k = Asymm ? GenEntry_Symm : GenEntry_Unsymm;
101     PetscInt      ist,ien;
102     PetscReal     *gcoords;
103 
104     if (size > 1) { /* replicated coords so that we can populate the dense matrix */
105       PetscSF      sf;
106       MPI_Datatype dtype;
107 
108       ierr = MPI_Type_contiguous(dim,MPIU_REAL,&dtype);CHKERRQ(ierr);
109       ierr = MPI_Type_commit(&dtype);CHKERRQ(ierr);
110 
111       ierr = PetscSFCreate(PETSC_COMM_WORLD,&sf);CHKERRQ(ierr);
112       ierr = MatGetLayouts(A,&map,NULL);CHKERRQ(ierr);
113       ierr = PetscSFSetGraphWithPattern(sf,map,PETSCSF_PATTERN_ALLGATHER);CHKERRQ(ierr);
114       ierr = PetscMalloc1(dim*N,&gcoords);CHKERRQ(ierr);
115       ierr = PetscSFBcastBegin(sf,dtype,coords,gcoords);CHKERRQ(ierr);
116       ierr = PetscSFBcastEnd(sf,dtype,coords,gcoords);CHKERRQ(ierr);
117       ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
118       ierr = MPI_Type_free(&dtype);CHKERRQ(ierr);
119     } else gcoords = (PetscReal*)coords;
120 
121     ierr = MatGetOwnershipRange(A,&ist,&ien);CHKERRQ(ierr);
122     for (i = ist; i < ien; i++) {
123       for (j = 0; j < N; j++) {
124         ierr = MatSetValue(A,i,j,(*k)(dim,gcoords + i*dim,gcoords + j*dim,NULL),INSERT_VALUES);CHKERRQ(ierr);
125       }
126     }
127     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
128     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
129     if (kernel) {
130       ierr = MatCreateHaraFromKernel(PETSC_COMM_WORLD,n,n,N,N,dim,coords,k,NULL,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,&B);CHKERRQ(ierr);
131     } else {
132       ierr = MatCreateHaraFromMat(A,dim,coords,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,&B);CHKERRQ(ierr);
133     }
134     if (gcoords != coords) { ierr = PetscFree(gcoords);CHKERRQ(ierr); }
135   } else {
136     ierr = MatSetRandom(A,r);CHKERRQ(ierr);
137     if (Asymm) {
138       ierr = MatTranspose(A,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
139       ierr = MatAXPY(A,1.0,B,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
140       ierr = MatDestroy(&B);CHKERRQ(ierr);
141       ierr = MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
142     }
143     ierr = MatCreateHaraFromMat(A,dim,coords,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,&B);CHKERRQ(ierr);
144   }
145   if (agpu) {
146     ierr = MatConvert(A,MATDENSECUDA,MAT_INPLACE_MATRIX,&A);CHKERRQ(ierr);
147   }
148   ierr = MatViewFromOptions(A,NULL,"-A_view");CHKERRQ(ierr);
149 
150   ierr = MatSetOption(B,MAT_SYMMETRIC,symm);CHKERRQ(ierr);
151   ierr = PetscFree(coords);CHKERRQ(ierr);
152 
153   /* assemble the H-matrix */
154   ierr = MatBindToCPU(B,(PetscBool)!bgpu);CHKERRQ(ierr);
155   ierr = MatSetFromOptions(B);CHKERRQ(ierr);
156   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
157   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
158   ierr = MatViewFromOptions(B,NULL,"-B_view");CHKERRQ(ierr);
159 
160   /* Test MatScale */
161   ierr = MatScale(A,scale);CHKERRQ(ierr);
162   ierr = MatScale(B,scale);CHKERRQ(ierr);
163 
164   /* Test MatMult */
165   ierr = MatCreateVecs(A,&Ax,&Ay);CHKERRQ(ierr);
166   ierr = MatCreateVecs(B,&Bx,&By);CHKERRQ(ierr);
167   ierr = VecSetRandom(Ax,r);CHKERRQ(ierr);
168   ierr = VecCopy(Ax,Bx);CHKERRQ(ierr);
169   ierr = MatMult(A,Ax,Ay);CHKERRQ(ierr);
170   ierr = MatMult(B,Bx,By);CHKERRQ(ierr);
171   ierr = VecViewFromOptions(Ay,NULL,"-mult_vec_view");CHKERRQ(ierr);
172   ierr = VecViewFromOptions(By,NULL,"-mult_vec_view");CHKERRQ(ierr);
173   ierr = VecNorm(Ay,NORM_INFINITY,&nX);CHKERRQ(ierr);
174   ierr = VecAXPY(Ay,-1.0,By);CHKERRQ(ierr);
175   ierr = VecViewFromOptions(Ay,NULL,"-mult_vec_view");CHKERRQ(ierr);
176   ierr = VecNorm(Ay,NORM_INFINITY,&err);CHKERRQ(ierr);
177   ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMult err %g\n",err/nX);CHKERRQ(ierr);
178   ierr = VecScale(By,-1.0);CHKERRQ(ierr);
179   ierr = MatMultAdd(B,Bx,By,By);CHKERRQ(ierr);
180   ierr = VecNorm(By,NORM_INFINITY,&err);CHKERRQ(ierr);
181   ierr = VecViewFromOptions(By,NULL,"-mult_vec_view");CHKERRQ(ierr);
182   if (err > PETSC_SMALL) {
183     ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMultAdd err %g\n",err);CHKERRQ(ierr);
184   }
185 
186   /* Test MatNorm */
187   ierr = MatNorm(A,NORM_INFINITY,&norms[0]);CHKERRQ(ierr);
188   ierr = MatNorm(A,NORM_1,&norms[1]);CHKERRQ(ierr);
189   norms[2] = -1.; /* NORM_2 not supported */
190   ierr = PetscPrintf(PETSC_COMM_WORLD,"A Matrix norms:        infty=%g, norm_1=%g, norm_2=%g\n",(double)norms[0],(double)norms[1],(double)norms[2]);CHKERRQ(ierr);
191   ierr = MatGetOperation(A,MATOP_NORM,&Anormfunc);CHKERRQ(ierr);
192   ierr = MatGetOperation(B,MATOP_NORM,&approxnormfunc);CHKERRQ(ierr);
193   ierr = MatSetOperation(A,MATOP_NORM,approxnormfunc);CHKERRQ(ierr);
194   ierr = MatNorm(A,NORM_INFINITY,&norms[0]);CHKERRQ(ierr);
195   ierr = MatNorm(A,NORM_1,&norms[1]);CHKERRQ(ierr);
196   ierr = MatNorm(A,NORM_2,&norms[2]);CHKERRQ(ierr);
197   ierr = PetscPrintf(PETSC_COMM_WORLD,"A Approx Matrix norms: infty=%g, norm_1=%g, norm_2=%g\n",(double)norms[0],(double)norms[1],(double)norms[2]);CHKERRQ(ierr);
198   if (testnorm) {
199     ierr = MatNorm(B,NORM_INFINITY,&norms[0]);CHKERRQ(ierr);
200     ierr = MatNorm(B,NORM_1,&norms[1]);CHKERRQ(ierr);
201     ierr = MatNorm(B,NORM_2,&norms[2]);CHKERRQ(ierr);
202   } else {
203     norms[0] = -1.;
204     norms[1] = -1.;
205     norms[2] = -1.;
206   }
207   ierr = PetscPrintf(PETSC_COMM_WORLD,"B Approx Matrix norms: infty=%g, norm_1=%g, norm_2=%g\n",(double)norms[0],(double)norms[1],(double)norms[2]);CHKERRQ(ierr);
208   ierr = MatSetOperation(A,MATOP_NORM,Anormfunc);CHKERRQ(ierr);
209 
210   /* Test MatDuplicate */
211   ierr = MatDuplicate(B,MAT_COPY_VALUES,&D);CHKERRQ(ierr);
212   ierr = MatMultEqual(B,D,10,&flg);CHKERRQ(ierr);
213   if (!flg) {
214     ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMult error after MatDuplicate\n");CHKERRQ(ierr);
215   }
216   if (testtrans) {
217     ierr = MatMultTransposeEqual(B,D,10,&flg);CHKERRQ(ierr);
218     if (!flg) {
219       ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMultTranpose error after MatDuplicate\n");CHKERRQ(ierr);
220     }
221   }
222   ierr = MatDestroy(&D);CHKERRQ(ierr);
223 
224   if (testtrans) { /* MatMultTranspose for nonsymmetric matrices not implemented */
225     ierr = VecSetRandom(Ay,r);CHKERRQ(ierr);
226     ierr = VecCopy(Ay,By);CHKERRQ(ierr);
227     ierr = MatMultTranspose(A,Ay,Ax);CHKERRQ(ierr);
228     ierr = MatMultTranspose(B,By,Bx);CHKERRQ(ierr);
229     ierr = VecViewFromOptions(Ax,NULL,"-multtrans_vec_view");CHKERRQ(ierr);
230     ierr = VecViewFromOptions(Bx,NULL,"-multtrans_vec_view");CHKERRQ(ierr);
231     ierr = VecNorm(Ax,NORM_INFINITY,&nX);CHKERRQ(ierr);
232     ierr = VecAXPY(Ax,-1.0,Bx);CHKERRQ(ierr);
233     ierr = VecViewFromOptions(Ax,NULL,"-multtrans_vec_view");CHKERRQ(ierr);
234     ierr = VecNorm(Ax,NORM_INFINITY,&err);CHKERRQ(ierr);
235     ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMultTranspose err %g\n",err/nX);CHKERRQ(ierr);
236     ierr = VecScale(Bx,-1.0);CHKERRQ(ierr);
237     ierr = MatMultTransposeAdd(B,By,Bx,Bx);CHKERRQ(ierr);
238     ierr = VecNorm(Bx,NORM_INFINITY,&err);CHKERRQ(ierr);
239     if (err > PETSC_SMALL) {
240       ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMultTransposeAdd err %g\n",err);CHKERRQ(ierr);
241     }
242   }
243   ierr = VecDestroy(&Ax);CHKERRQ(ierr);
244   ierr = VecDestroy(&Ay);CHKERRQ(ierr);
245   ierr = VecDestroy(&Bx);CHKERRQ(ierr);
246   ierr = VecDestroy(&By);CHKERRQ(ierr);
247 
248   /* Test MatMatMult */
249   if (ldc) {
250     ierr = PetscMalloc1(nrhs*(n+ldc),&Cdata);CHKERRQ(ierr);
251   }
252   ierr = MatCreateDense(PETSC_COMM_WORLD,n,PETSC_DECIDE,N,nrhs,Cdata,&C);CHKERRQ(ierr);
253   ierr = MatDenseSetLDA(C,n+ldc);CHKERRQ(ierr);
254   ierr = MatSetRandom(C,r);CHKERRQ(ierr);
255   if (cgpu) {
256     ierr = MatConvert(C,MATDENSECUDA,MAT_INPLACE_MATRIX,&C);CHKERRQ(ierr);
257   }
258   for (nt = 0; nt < ntrials; nt++) {
259     ierr = MatMatMult(B,C,nt ? MAT_REUSE_MATRIX : MAT_INITIAL_MATRIX,PETSC_DEFAULT,&D);CHKERRQ(ierr);
260     ierr = MatViewFromOptions(D,NULL,"-bc_view");CHKERRQ(ierr);
261     ierr = PetscObjectBaseTypeCompareAny((PetscObject)D,&flg,MATSEQDENSE,MATMPIDENSE,"");CHKERRQ(ierr);
262     if (flg) {
263       ierr = MatCreateVecs(B,&x,&y);CHKERRQ(ierr);
264       ierr = MatCreateVecs(D,NULL,&v);CHKERRQ(ierr);
265       for (i = 0; i < nrhs; i++) {
266         ierr = MatGetColumnVector(D,v,i);CHKERRQ(ierr);
267         ierr = MatGetColumnVector(C,x,i);CHKERRQ(ierr);
268         ierr = MatMult(B,x,y);CHKERRQ(ierr);
269         ierr = VecAXPY(y,-1.0,v);CHKERRQ(ierr);
270         ierr = VecNorm(y,NORM_INFINITY,&err);CHKERRQ(ierr);
271         if (err > PETSC_SMALL) { ierr = PetscPrintf(PETSC_COMM_WORLD,"MatMat err %D %g\n",i,err);CHKERRQ(ierr); }
272       }
273       ierr = VecDestroy(&y);CHKERRQ(ierr);
274       ierr = VecDestroy(&x);CHKERRQ(ierr);
275       ierr = VecDestroy(&v);CHKERRQ(ierr);
276     }
277   }
278   ierr = MatDestroy(&D);CHKERRQ(ierr);
279 
280   /* Test MatTransposeMatMult */
281   if (testtrans) { /* MatMultTranspose for nonsymmetric matrices not implemented */
282     for (nt = 0; nt < ntrials; nt++) {
283       ierr = MatTransposeMatMult(B,C,nt ? MAT_REUSE_MATRIX : MAT_INITIAL_MATRIX,PETSC_DEFAULT,&D);CHKERRQ(ierr);
284       ierr = MatViewFromOptions(D,NULL,"-btc_view");CHKERRQ(ierr);
285       ierr = PetscObjectBaseTypeCompareAny((PetscObject)D,&flg,MATSEQDENSE,MATMPIDENSE,"");CHKERRQ(ierr);
286       if (flg) {
287         ierr = MatCreateVecs(B,&y,&x);CHKERRQ(ierr);
288         ierr = MatCreateVecs(D,NULL,&v);CHKERRQ(ierr);
289         for (i = 0; i < nrhs; i++) {
290           ierr = MatGetColumnVector(D,v,i);CHKERRQ(ierr);
291           ierr = MatGetColumnVector(C,x,i);CHKERRQ(ierr);
292           ierr = MatMultTranspose(B,x,y);CHKERRQ(ierr);
293           ierr = VecAXPY(y,-1.0,v);CHKERRQ(ierr);
294           ierr = VecNorm(y,NORM_INFINITY,&err);CHKERRQ(ierr);
295           if (err > PETSC_SMALL) { ierr = PetscPrintf(PETSC_COMM_WORLD,"MatTransMat err %D %g\n",i,err);CHKERRQ(ierr); }
296         }
297         ierr = VecDestroy(&y);CHKERRQ(ierr);
298         ierr = VecDestroy(&x);CHKERRQ(ierr);
299         ierr = VecDestroy(&v);CHKERRQ(ierr);
300       }
301     }
302     ierr = MatDestroy(&D);CHKERRQ(ierr);
303   }
304 
305   /* check explicit operator */
306   if (checkexpl) {
307     Mat Be, Bet;
308 
309     ierr = MatComputeOperator(B,MATDENSE,&D);CHKERRQ(ierr);
310     ierr = MatDuplicate(D,MAT_COPY_VALUES,&Be);CHKERRQ(ierr);
311     ierr = MatNorm(D,NORM_FROBENIUS,&nB);CHKERRQ(ierr);
312     ierr = MatViewFromOptions(D,NULL,"-expl_view");CHKERRQ(ierr);
313     ierr = MatAXPY(D,-1.0,A,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
314     ierr = MatViewFromOptions(D,NULL,"-diff_view");CHKERRQ(ierr);
315     ierr = MatNorm(D,NORM_FROBENIUS,&nD);CHKERRQ(ierr);
316     ierr = MatNorm(A,NORM_FROBENIUS,&nA);CHKERRQ(ierr);
317     ierr = PetscPrintf(PETSC_COMM_WORLD,"Approximation error %g (%g / %g, %g)\n",nD/nA,nD,nA,nB);CHKERRQ(ierr);
318     ierr = MatDestroy(&D);CHKERRQ(ierr);
319 
320     if (testtrans) { /* MatMultTranspose for nonsymmetric matrices not implemented */
321       ierr = MatTranspose(A,MAT_INPLACE_MATRIX,&A);CHKERRQ(ierr);
322       ierr = MatComputeOperatorTranspose(B,MATDENSE,&D);CHKERRQ(ierr);
323       ierr = MatDuplicate(D,MAT_COPY_VALUES,&Bet);CHKERRQ(ierr);
324       ierr = MatNorm(D,NORM_FROBENIUS,&nB);CHKERRQ(ierr);
325       ierr = MatViewFromOptions(D,NULL,"-expl_trans_view");CHKERRQ(ierr);
326       ierr = MatAXPY(D,-1.0,A,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
327       ierr = MatViewFromOptions(D,NULL,"-diff_trans_view");CHKERRQ(ierr);
328       ierr = MatNorm(D,NORM_FROBENIUS,&nD);CHKERRQ(ierr);
329       ierr = MatNorm(A,NORM_FROBENIUS,&nA);CHKERRQ(ierr);
330       ierr = PetscPrintf(PETSC_COMM_WORLD,"Approximation error transpose %g (%g / %g, %g)\n",nD/nA,nD,nA,nB);CHKERRQ(ierr);
331       ierr = MatDestroy(&D);CHKERRQ(ierr);
332 
333       ierr = MatTranspose(Bet,MAT_INPLACE_MATRIX,&Bet);CHKERRQ(ierr);
334       ierr = MatAXPY(Be,-1.0,Bet,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
335       ierr = MatViewFromOptions(Be,NULL,"-diff_expl_view");CHKERRQ(ierr);
336       ierr = MatNorm(Be,NORM_FROBENIUS,&nB);CHKERRQ(ierr);
337       ierr = PetscPrintf(PETSC_COMM_WORLD,"Approximation error B - (B^T)^T %g\n",nB);CHKERRQ(ierr);
338       ierr = MatDestroy(&Be);CHKERRQ(ierr);
339       ierr = MatDestroy(&Bet);CHKERRQ(ierr);
340     }
341   }
342   ierr = MatDestroy(&A);CHKERRQ(ierr);
343   ierr = MatDestroy(&B);CHKERRQ(ierr);
344   ierr = MatDestroy(&C);CHKERRQ(ierr);
345   ierr = PetscRandomDestroy(&r);CHKERRQ(ierr);
346   ierr = PetscFree(Cdata);CHKERRQ(ierr);
347   ierr = PetscFree(Adata);CHKERRQ(ierr);
348   ierr = PetscFinalize();
349   return ierr;
350 }
351 
352 /*TEST
353 
354    build:
355      requires: hara
356 
357 #tests from kernel
358    test:
359      requires: hara
360      nsize: 1
361      suffix: 1
362      args: -n {{17 33}} -kernel 1 -dim {{1 2 3}} -symm {{0 1}} -checkexpl -bgpu 0
363 
364    test:
365      requires: hara
366      nsize: 1
367      suffix: 1_ld
368      output_file: output/ex66_1.out
369      args: -n 33 -kernel 1 -dim 1 -lda 13 -ldc 11 -symm 0 -checkexpl -bgpu 0
370 
371    test:
372      requires: hara cuda
373      nsize: 1
374      suffix: 1_cuda
375      output_file: output/ex66_1.out
376      args: -n {{17 33}} -kernel 1 -dim {{1 2 3}} -symm {{0 1}} -checkexpl -bgpu 1
377 
378    test:
379      requires: hara cuda
380      nsize: 1
381      suffix: 1_cuda_ld
382      output_file: output/ex66_1.out
383      args: -n 33 -kernel 1 -dim 1 -lda 13 -ldc 11 -symm 0 -checkexpl -bgpu 1
384 
385    test:
386      requires: hara define(PETSC_HAVE_MPI_INIT_THREAD)
387      nsize: 2
388      suffix: 1_par
389      args: -n 32 -kernel 1 -dim 1 -ldc 12 -testlayout {{0 1}} -bgpu 0 -cgpu 0
390 
391    test:
392      requires: hara cuda define(PETSC_HAVE_MPI_INIT_THREAD)
393      nsize: 2
394      suffix: 1_par_cuda
395      args: -n 32 -kernel 1 -dim 1 -ldc 12 -testlayout {{0 1}} -bgpu {{0 1}} -cgpu {{0 1}}
396      output_file: output/ex66_1_par.out
397 
398 #tests from matrix sampling (parallel or unsymmetric not supported)
399    test:
400      requires: hara
401      nsize: 1
402      suffix: 2
403      args: -n {{17 33}} -kernel 0 -dim 2 -symm 1 -checkexpl -bgpu 0
404 
405    test:
406      requires: hara cuda
407      nsize: 1
408      suffix: 2_cuda
409      output_file: output/ex66_2.out
410      args: -n {{17 33}} -kernel 0 -dim 2 -symm 1 -checkexpl -bgpu {{0 1}} -agpu {{0 1}}
411 
412 TEST*/
413