GCC Code Coverage Report

Directory: ./
File: src/sys/classes/fn/tests/test8.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 107 112 95.5%
Functions: 2 2 100.0%
Branches: 319 528 60.4%
Line Branch Exec Source
1 /*
2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 SLEPc - Scalable Library for Eigenvalue Problem Computations
4 Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5
6 This file is part of SLEPc.
7 SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 */
10
11 static char help[] = "Test matrix inverse square root.\n\n";
12
13 #include <slepcfn.h>
14
15 /*
16 Compute matrix inverse square root B = inv(sqrtm(A))
17 Check result as norm(B*B*A-I)
18 */
19 276 PetscErrorCode TestMatInvSqrt(FN fn,Mat A,PetscViewer viewer,PetscBool verbose,PetscBool inplace)
20 {
21 276 PetscScalar tau,eta;
22 276 PetscReal nrm;
23 276 PetscBool set,flg;
24 276 PetscInt n;
25 276 Mat S,R,Acopy;
26 276 Vec v,f0;
27
28
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 276 PetscFunctionBeginUser;
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 276 PetscCall(MatGetSize(A,&n,NULL));
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 276 PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&S));
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 276 PetscCall(PetscObjectSetName((PetscObject)S,"S"));
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 276 PetscCall(FNGetScale(fn,&tau,&eta));
33 /* compute inverse square root */
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 276 if (inplace) {
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 138 PetscCall(MatCopy(A,S,SAME_NONZERO_PATTERN));
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 138 PetscCall(MatIsHermitianKnown(A,&set,&flg));
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 138 if (set && flg) PetscCall(MatSetOption(S,MAT_HERMITIAN,PETSC_TRUE));
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 138 PetscCall(FNEvaluateFunctionMat(fn,S,NULL));
39 } else {
40
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 138 PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&Acopy));
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 138 PetscCall(FNEvaluateFunctionMat(fn,A,S));
42 /* check that A has not been modified */
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 138 PetscCall(MatAXPY(Acopy,-1.0,A,SAME_NONZERO_PATTERN));
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 138 PetscCall(MatNorm(Acopy,NORM_1,&nrm));
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 138 if (nrm>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the input matrix has changed by %g\n",(double)nrm));
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 138 PetscCall(MatDestroy(&Acopy));
47 }
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 276 if (verbose) {
49 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
50 ✗ PetscCall(MatView(A,viewer));
51 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed inv(sqrtm(A)) - - - - - - -\n"));
52 ✗ PetscCall(MatView(S,viewer));
53 }
54 /* check error ||S*S*A-I||_F */
55
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 276 PetscCall(MatMatMult(S,S,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&R));
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 276 if (eta!=1.0) PetscCall(MatScale(R,1.0/(eta*eta)));
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 276 PetscCall(MatCreateVecs(A,&v,&f0));
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 276 PetscCall(MatGetColumnVector(S,f0,0));
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 276 PetscCall(MatCopy(R,S,SAME_NONZERO_PATTERN));
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 276 PetscCall(MatDestroy(&R));
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 276 if (tau!=1.0) PetscCall(MatScale(S,tau));
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 276 PetscCall(MatMatMult(S,A,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&R));
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 276 PetscCall(MatShift(R,-1.0));
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 276 PetscCall(MatNorm(R,NORM_FROBENIUS,&nrm));
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 276 PetscCall(MatDestroy(&R));
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 276 if (nrm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||S*S*A-I||_F < 100*eps\n"));
67 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||S*S*A-I||_F = %g\n",(double)nrm));
68 /* check FNEvaluateFunctionMatVec() */
69
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 276 PetscCall(FNEvaluateFunctionMatVec(fn,A,v));
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 276 PetscCall(VecAXPY(v,-1.0,f0));
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 276 PetscCall(VecNorm(v,NORM_2,&nrm));
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 276 if (nrm>100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the norm of f(A)*e_1-v is %g\n",(double)nrm));
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 276 PetscCall(MatDestroy(&S));
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 276 PetscCall(VecDestroy(&v));
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 276 PetscCall(VecDestroy(&f0));
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 48 PetscFunctionReturn(PETSC_SUCCESS);
77 }
78
79 92 int main(int argc,char **argv)
80 {
81 92 FN fn;
82 92 Mat A=NULL;
83 92 PetscInt i,j,n=10;
84 92 PetscScalar x,y,yp,*As;
85 92 PetscViewer viewer;
86 92 PetscBool verbose,inplace,matcuda;
87 92 PetscRandom myrand;
88 92 PetscReal v;
89 92 char strx[50],str[50];
90
91
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 92 PetscFunctionBeginUser;
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 92 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
93
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 92 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 92 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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 92 PetscCall(PetscOptionsHasName(NULL,NULL,"-inplace",&inplace));
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 92 PetscCall(PetscOptionsHasName(NULL,NULL,"-matcuda",&matcuda));
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 92 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix inverse square root, n=%" PetscInt_FMT ".\n",n));
98
99 /* Create function object */
100
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 92 PetscCall(FNCreate(PETSC_COMM_WORLD,&fn));
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 92 PetscCall(FNSetType(fn,FNINVSQRT));
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 92 PetscCall(FNSetFromOptions(fn));
103
104 /* Set up viewer */
105
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 92 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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 92 PetscCall(FNView(fn,viewer));
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 92 if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
108
109 /* Scalar evaluation */
110 92 x = 2.2;
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 92 PetscCall(SlepcSNPrintfScalar(strx,sizeof(strx),x,PETSC_FALSE));
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 92 PetscCall(FNEvaluateFunction(fn,x,&y));
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 92 PetscCall(FNEvaluateDerivative(fn,x,&yp));
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 92 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),y,PETSC_FALSE));
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 92 PetscCall(PetscPrintf(PETSC_COMM_WORLD," f(%s)=%s\n",strx,str));
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 92 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),yp,PETSC_FALSE));
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 92 PetscCall(PetscPrintf(PETSC_COMM_WORLD," f'(%s)=%s\n",strx,str));
118
119 /* Create matrix */
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 92 if (matcuda) {
121 #if defined(PETSC_HAVE_CUDA)
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 12 PetscCall(MatCreateSeqDenseCUDA(PETSC_COMM_SELF,n,n,NULL,&A));
123 #endif
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 80 } else PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
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 92 PetscCall(PetscObjectSetName((PetscObject)A,"A"));
126
127 /* Compute square root of a symmetric matrix A */
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 92 PetscCall(MatDenseGetArray(A,&As));
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 1012 for (i=0;i<n;i++) As[i+i*n]=2.5;
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 276 for (j=1;j<3;j++) {
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 1748 for (i=0;i<n-j;i++) { As[i+(i+j)*n]=1.0; As[(i+j)+i*n]=1.0; }
132 }
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 92 PetscCall(MatDenseRestoreArray(A,&As));
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 92 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
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 92 PetscCall(TestMatInvSqrt(fn,A,viewer,verbose,inplace));
136
137 /* Repeat with upper triangular A */
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 92 PetscCall(MatDenseGetArray(A,&As));
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 276 for (j=1;j<3;j++) {
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 1748 for (i=0;i<n-j;i++) As[(i+j)+i*n]=0.0;
141 }
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 92 PetscCall(MatDenseRestoreArray(A,&As));
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 92 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE));
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 92 PetscCall(TestMatInvSqrt(fn,A,viewer,verbose,inplace));
145
146 /* Repeat with non-symmetic A */
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 92 PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&myrand));
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 92 PetscCall(PetscRandomSetFromOptions(myrand));
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 92 PetscCall(PetscRandomSetInterval(myrand,0.0,1.0));
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 92 PetscCall(MatDenseGetArray(A,&As));
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 276 for (j=1;j<3;j++) {
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 1748 for (i=0;i<n-j;i++) {
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 1564 PetscCall(PetscRandomGetValueReal(myrand,&v));
154 1564 As[(i+j)+i*n]=v;
155 }
156 }
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 92 PetscCall(MatDenseRestoreArray(A,&As));
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 92 PetscCall(PetscRandomDestroy(&myrand));
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 92 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE));
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 92 PetscCall(TestMatInvSqrt(fn,A,viewer,verbose,inplace));
161
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 92 PetscCall(MatDestroy(&A));
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 92 PetscCall(FNDestroy(&fn));
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 92 PetscCall(SlepcFinalize());
165 return 0;
166 }
167
168 /*TEST
169
170 testset:
171 args: -fn_scale 0.9,0.5 -n 10
172 filter: grep -v "computing matrix functions"
173 requires: !__float128
174 output_file: output/test8_1.out
175 test:
176 suffix: 1
177 args: -fn_method {{0 1 2 3}}
178 test:
179 suffix: 1_cuda
180 args: -fn_method 2 -matcuda
181 requires: cuda
182 test:
183 suffix: 1_magma
184 args: -fn_method {{1 3}} -matcuda
185 requires: cuda magma
186 test:
187 suffix: 2
188 args: -inplace -fn_method {{0 1 2 3}}
189 test:
190 suffix: 2_cuda
191 args: -inplace -fn_method 2 -matcuda
192 requires: cuda
193 test:
194 suffix: 2_magma
195 args: -inplace -fn_method {{1 3}} -matcuda
196 requires: cuda magma
197
198 TEST*/
199