GCC Code Coverage Report

Directory:	./
File:	src/sys/classes/bv/tests/test12.c
Date:	2025-11-19 04:19:03

	Exec	Total	Coverage
Lines:	81	85	95.3%
Functions:	1	1	100.0%
Branches:	248	412	60.2%

  
      Line
      Branch
      Exec
      Source
    
      /*
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
         SLEPc - Scalable Library for Eigenvalue Problem Computations
    
         Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
    
         This file is part of SLEPc.
    
         SLEPc is distributed under a 2-clause BSD license (see LICENSE).
    
         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    
      */
    
      static char help[] = "Test block orthogonalization on a rank-deficient BV.\n\n";
    
      #include <slepcbv.h>
    
      40
      int main(int argc,char **argv)
    
      {
    
      40
        BV             X,Z;
    
      40
        Mat            M,R;
    
      40
        Vec            v,w,t;
    
      40
        PetscInt       i,j,n=20,k=8;
    
      40
        PetscViewer    view;
    
      40
        PetscBool      verbose;
    
      40
        PetscReal      norm;
    
      40
        PetscScalar    alpha;
    
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      40
        PetscFunctionBeginUser;
    
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      40
        PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
    
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      40
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
    
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      40
        PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
    
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      40
        PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
    
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      40
        PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV block orthogonalization (length %" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k));
    
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      40
        PetscCheck(k>5,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"k must be at least 6");
    
        /* Create template vector */
    
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      40
        PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
    
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      40
        PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
    
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      40
        PetscCall(VecSetFromOptions(t));
    
        /* Create BV object X */
    
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      40
        PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
    
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      40
        PetscCall(PetscObjectSetName((PetscObject)X,"X"));
    
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      40
        PetscCall(BVSetSizesFromVec(X,t,k));
    
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      40
        PetscCall(BVSetFromOptions(X));
    
        /* Set up viewer */
    
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      40
        PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
    
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      40
        if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
    
        /* Fill X entries (first half) */
    
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      200
        for (j=0;j<k/2;j++) {
    
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      160
          PetscCall(BVGetColumn(X,j,&v));
    
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      160
          PetscCall(VecSet(v,0.0));
    
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      1920
          for (i=0;i<=n/2;i++) {
    
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      1760
            if (i+j<n) {
    
      1760
              alpha = (3.0*i+j-2)/(2*(i+j+1));
    
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      1760
              PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
    
            }
    
          }
    
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      160
          PetscCall(VecAssemblyBegin(v));
    
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      160
          PetscCall(VecAssemblyEnd(v));
    
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      160
          PetscCall(BVRestoreColumn(X,j,&v));
    
        }
    
        /* make middle column linearly dependent wrt columns 0 and 1 */
    
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      40
        PetscCall(BVCopyColumn(X,0,j));
    
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      40
        PetscCall(BVGetColumn(X,j,&v));
    
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      40
        PetscCall(BVGetColumn(X,1,&w));
    
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      40
        PetscCall(VecAXPY(v,0.5,w));
    
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      40
        PetscCall(BVRestoreColumn(X,1,&w));
    
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      40
        PetscCall(BVRestoreColumn(X,j,&v));
    
      40
        j++;
    
        /* Fill X entries (second half) */
    
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      120
        for (;j<k-1;j++) {
    
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      80
          PetscCall(BVGetColumn(X,j,&v));
    
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      80
          PetscCall(VecSet(v,0.0));
    
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      960
          for (i=0;i<=n/2;i++) {
    
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      880
            if (i+j<n) {
    
      880
              alpha = (3.0*i+j-2)/(2*(i+j+1));
    
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      880
              PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
    
            }
    
          }
    
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      80
          PetscCall(VecAssemblyBegin(v));
    
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      80
          PetscCall(VecAssemblyEnd(v));
    
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      80
          PetscCall(BVRestoreColumn(X,j,&v));
    
        }
    
        /* make middle column linearly dependent wrt columns 1 and k/2+1 */
    
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      40
        PetscCall(BVCopyColumn(X,1,j));
    
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      40
        PetscCall(BVGetColumn(X,j,&v));
    
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      40
        PetscCall(BVGetColumn(X,k/2+1,&w));
    
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      40
        PetscCall(VecAXPY(v,-1.2,w));
    
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      40
        PetscCall(BVRestoreColumn(X,k/2+1,&w));
    
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      40
        PetscCall(BVRestoreColumn(X,j,&v));
    
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      40
        if (verbose) PetscCall(BVView(X,view));
    
        /* Create a copy on Z */
    
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      40
        PetscCall(BVDuplicate(X,&Z));
    
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      40
        PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
    
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      40
        PetscCall(BVCopy(X,Z));
    
        /* Test BVOrthogonalize */
    
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      40
        PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
    
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      40
        PetscCall(PetscObjectSetName((PetscObject)R,"R"));
    
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      40
        PetscCall(BVOrthogonalize(X,R));
    
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      40
        if (verbose) {
    
      ✗
          PetscCall(BVView(X,view));
    
      ✗
          PetscCall(MatView(R,view));
    
        }
    
        /* Check orthogonality */
    
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      40
        PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
    
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      40
        PetscCall(MatShift(M,1.0));   /* set leading part to identity */
    
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      40
        PetscCall(BVDot(X,X,M));
    
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      40
        PetscCall(MatShift(M,-1.0));
    
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      40
        PetscCall(MatNorm(M,NORM_1,&norm));
    
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      40
        if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
    
      ✗
        else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
    
        /* Check residual */
    
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      40
        PetscCall(BVMult(Z,-1.0,1.0,X,R));
    
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      40
        PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
    
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      40
        if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n"));
    
      ✗
        else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm));
    
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      40
        PetscCall(MatDestroy(&R));
    
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      40
        PetscCall(MatDestroy(&M));
    
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      40
        PetscCall(BVDestroy(&X));
    
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      40
        PetscCall(BVDestroy(&Z));
    
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      40
        PetscCall(VecDestroy(&t));
    
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      40
        PetscCall(SlepcFinalize());
    
        return 0;
    
      }
    
      /*TEST
    
         test:
    
            suffix: 1
    
            nsize: 1
    
            args: -bv_orthog_block gs -bv_type {{vecs contiguous svec mat}shared output}
    
            output_file: output/test12_1.out
    
      TEST*/

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 block orthogonalization on a rank-deficient BV.\n\n";
12
13			#include <slepcbv.h>
14
15		40	int main(int argc,char **argv)
16			{
17		40	BV X,Z;
18		40	Mat M,R;
19		40	Vec v,w,t;
20		40	PetscInt i,j,n=20,k=8;
21		40	PetscViewer view;
22		40	PetscBool verbose;
23		40	PetscReal norm;
24		40	PetscScalar alpha;
25
26	1/2 ✓ Branch 0 taken 2 times. ✗ Branch 1 not taken.	40	PetscFunctionBeginUser;
27	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
28	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
30	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
31	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV block orthogonalization (length %" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k));
32	1/4 ✗ Branch 0 not taken. ✓ Branch 1 taken 10 times. ✗ Branch 2 not taken. ✗ Branch 3 not taken.	40	PetscCheck(k>5,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"k must be at least 6");
33
34			/* Create template vector */
35	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
36	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
37	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecSetFromOptions(t));
38
39			/* Create BV object X */
40	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
41	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscObjectSetName((PetscObject)X,"X"));
42	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVSetSizesFromVec(X,t,k));
43	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVSetFromOptions(X));
44
45			/* Set up viewer */
46	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
47	1/8 ✗ Branch 0 not taken. ✓ Branch 1 taken 10 times. ✗ Branch 2 not taken. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✗ Branch 7 not taken.	40	if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
48
49			/* Fill X entries (first half) */
50	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	200	for (j=0;j<k/2;j++) {
51	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	160	PetscCall(BVGetColumn(X,j,&v));
52	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	160	PetscCall(VecSet(v,0.0));
53	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	1920	for (i=0;i<=n/2;i++) {
54	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	1760	if (i+j<n) {
55		1760	alpha = (3.0i+j-2)/(2(i+j+1));
56	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	1760	PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
57			}
58			}
59	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	160	PetscCall(VecAssemblyBegin(v));
60	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	160	PetscCall(VecAssemblyEnd(v));
61	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	160	PetscCall(BVRestoreColumn(X,j,&v));
62			}
63
64			/* make middle column linearly dependent wrt columns 0 and 1 */
65	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVCopyColumn(X,0,j));
66	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVGetColumn(X,j,&v));
67	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVGetColumn(X,1,&w));
68	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecAXPY(v,0.5,w));
69	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVRestoreColumn(X,1,&w));
70	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVRestoreColumn(X,j,&v));
71		40	j++;
72
73			/* Fill X entries (second half) */
74	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	120	for (;j<k-1;j++) {
75	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(BVGetColumn(X,j,&v));
76	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(VecSet(v,0.0));
77	2/2 ✓ Branch 0 taken 10 times. ✓ Branch 1 taken 10 times.	960	for (i=0;i<=n/2;i++) {
78	1/2 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken.	880	if (i+j<n) {
79		880	alpha = (3.0i+j-2)/(2(i+j+1));
80	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	880	PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
81			}
82			}
83	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(VecAssemblyBegin(v));
84	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(VecAssemblyEnd(v));
85	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	80	PetscCall(BVRestoreColumn(X,j,&v));
86			}
87
88			/* make middle column linearly dependent wrt columns 1 and k/2+1 */
89	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVCopyColumn(X,1,j));
90	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVGetColumn(X,j,&v));
91	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVGetColumn(X,k/2+1,&w));
92	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecAXPY(v,-1.2,w));
93	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVRestoreColumn(X,k/2+1,&w));
94	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVRestoreColumn(X,j,&v));
95
96	1/8 ✗ Branch 0 not taken. ✓ Branch 1 taken 10 times. ✗ Branch 2 not taken. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✗ Branch 7 not taken.	40	if (verbose) PetscCall(BVView(X,view));
97
98			/* Create a copy on Z */
99	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVDuplicate(X,&Z));
100	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
101	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVCopy(X,Z));
102
103			/* Test BVOrthogonalize */
104	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
105	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(PetscObjectSetName((PetscObject)R,"R"));
106	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVOrthogonalize(X,R));
107	1/2 ✗ Branch 0 not taken. ✓ Branch 1 taken 10 times.	40	if (verbose) {
108		✗	PetscCall(BVView(X,view));
109		✗	PetscCall(MatView(R,view));
110			}
111
112			/* Check orthogonality */
113	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
114	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatShift(M,1.0)); /* set leading part to identity */
115	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVDot(X,X,M));
116	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatShift(M,-1.0));
117	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatNorm(M,NORM_1,&norm));
118	5/8 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	40	if (norm<100PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100eps\n"));
119		✗	else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
120
121			/* Check residual */
122	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVMult(Z,-1.0,1.0,X,R));
123	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
124	5/8 ✓ Branch 0 taken 10 times. ✗ Branch 1 not taken. ✓ Branch 2 taken 2 times. ✓ Branch 3 taken 8 times. ✓ Branch 4 taken 2 times. ✗ Branch 5 not taken. ✗ Branch 6 not taken. ✓ Branch 7 taken 2 times.	40	if (norm<100PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual \|\|X-QR\|\| < 100eps\n"));
125		✗	else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual \|\|X-QR\|\|: %g\n",(double)norm));
126
127	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatDestroy(&R));
128	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(MatDestroy(&M));
129	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVDestroy(&X));
130	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(BVDestroy(&Z));
131	4/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 8 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✓ Branch 5 taken 2 times.	40	PetscCall(VecDestroy(&t));
132	3/6 ✓ Branch 0 taken 2 times. ✓ Branch 1 taken 2 times. ✓ Branch 2 taken 2 times. ✗ Branch 3 not taken. ✗ Branch 4 not taken. ✗ Branch 5 not taken.	40	PetscCall(SlepcFinalize());
133			return 0;
134			}
135
136			/*TEST
137
138			test:
139			suffix: 1
140			nsize: 1
141			args: -bv_orthog_block gs -bv_type {{vecs contiguous svec mat}shared output}
142			output_file: output/test12_1.out
143
144			TEST*/
145