GCC Code Coverage Report

Directory: ./
File: src/pep/impls/linear/qeplin.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 94 94 100.0%
Functions: 6 6 100.0%
Branches: 230 348 66.1%
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 Various types of linearization for quadratic eigenvalue problem
12 */
13
14 #include <slepc/private/pepimpl.h>
15 #include "linear.h"
16
17 /*
18 Given the quadratic problem (l^2*M + l*C + K)*x = 0 the linearization is
19 A*z = l*B*z for z = [ x ] and A,B defined as follows:
20 [ l*x ]
21
22 N:
23 A = [-bK aI ] B = [ aI+bC bM ]
24 [-aK -aC+bI ] [ bI aM ]
25
26 S:
27 A = [ bK aK ] B = [ aK-bC -bM ]
28 [ aK aC-bM ] [-bM -aM ]
29
30 H:
31 A = [ aK -bK ] B = [ bM aK+bC ]
32 [ aC+bM aK ] [-aM bM ]
33 */
34
35 /* - - - N - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
36
37 94 PetscErrorCode MatCreateExplicit_Linear_NA(MPI_Comm comm,PEP_LINEAR *ctx,Mat *A)
38 {
39 94 PetscInt M,N,m,n;
40 94 Mat Id,T=NULL;
41 94 PetscReal a=ctx->alpha,b=ctx->beta;
42 94 PetscScalar scalt=1.0;
43
44
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 94 PetscFunctionBegin;
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 94 PetscCall(MatGetSize(ctx->M,&M,&N));
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 94 PetscCall(MatGetLocalSize(ctx->M,&m,&n));
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 94 PetscCall(MatCreateConstantDiagonal(PetscObjectComm((PetscObject)ctx->M),m,n,M,N,1.0,&Id));
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 94 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
50
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 10 PetscCall(MatScale(T,-a*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatShift(T,b));
52 } else {
53
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 84 if (a==0.0) { T = Id; scalt = b; }
54 64 else { T = ctx->C; scalt = -a*ctx->dsfactor*ctx->sfactor; }
55 }
56
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 94 PetscCall(MatCreateTile(-b*ctx->dsfactor,ctx->K,a,Id,-ctx->dsfactor*a,ctx->K,scalt,T,A));
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 94 PetscCall(MatDestroy(&Id));
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 94 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
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 18 PetscFunctionReturn(PETSC_SUCCESS);
60 }
61
62 94 PetscErrorCode MatCreateExplicit_Linear_NB(MPI_Comm comm,PEP_LINEAR *ctx,Mat *B)
63 {
64 94 PetscInt M,N,m,n;
65 94 Mat Id,T=NULL;
66 94 PetscReal a=ctx->alpha,b=ctx->beta;
67 94 PetscScalar scalt=1.0;
68
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 94 PetscFunctionBegin;
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 94 PetscCall(MatGetSize(ctx->M,&M,&N));
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 94 PetscCall(MatGetLocalSize(ctx->M,&m,&n));
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 94 PetscCall(MatCreateConstantDiagonal(PetscObjectComm((PetscObject)ctx->M),m,n,M,N,1.0,&Id));
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 94 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
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 10 PetscCall(MatScale(T,b*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatShift(T,a));
77 } else {
78
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 84 if (b==0.0) { T = Id; scalt = a; }
79 20 else { T = ctx->C; scalt = b*ctx->dsfactor*ctx->sfactor; }
80 }
81
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 94 PetscCall(MatCreateTile(scalt,T,b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,b,Id,a*ctx->sfactor*ctx->sfactor*ctx->dsfactor,ctx->M,B));
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 94 PetscCall(MatDestroy(&Id));
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 94 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
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 18 PetscFunctionReturn(PETSC_SUCCESS);
85 }
86
87 /* - - - S - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
88
89 50 PetscErrorCode MatCreateExplicit_Linear_SA(MPI_Comm comm,PEP_LINEAR *ctx,Mat *A)
90 {
91 50 Mat T=NULL;
92 50 PetscScalar scalt=1.0;
93 50 PetscReal a=ctx->alpha,b=ctx->beta;
94
95
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 50 PetscFunctionBegin;
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 50 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
98
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 10 PetscCall(MatScale(T,a*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatAXPY(T,-b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,UNKNOWN_NONZERO_PATTERN));
100 } else {
101
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 40 if (a==0.0) { T = ctx->M; scalt = -b*ctx->dsfactor*ctx->sfactor*ctx->sfactor; }
102 30 else { T = ctx->C; scalt = a*ctx->dsfactor*ctx->sfactor; }
103 }
104
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 50 PetscCall(MatCreateTile(b*ctx->dsfactor,ctx->K,a*ctx->dsfactor,ctx->K,a*ctx->dsfactor,ctx->K,scalt,T,A));
105
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 50 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
106
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 10 PetscFunctionReturn(PETSC_SUCCESS);
107 }
108
109 50 PetscErrorCode MatCreateExplicit_Linear_SB(MPI_Comm comm,PEP_LINEAR *ctx,Mat *B)
110 {
111 50 Mat T=NULL;
112 50 PetscScalar scalt=1.0;
113 50 PetscReal a=ctx->alpha,b=ctx->beta;
114
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 50 PetscFunctionBegin;
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 50 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
118
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 10 PetscCall(MatScale(T,-b*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatAXPY(T,a*ctx->dsfactor,ctx->K,UNKNOWN_NONZERO_PATTERN));
120 } else {
121
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 40 if (b==0.0) { T = ctx->K; scalt = a*ctx->dsfactor; }
122 10 else { T = ctx->C; scalt = -b*ctx->dsfactor*ctx->sfactor; }
123 }
124
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 50 PetscCall(MatCreateTile(scalt,T,-b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,-b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,-a*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,B));
125
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 50 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
126
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 10 PetscFunctionReturn(PETSC_SUCCESS);
127 }
128
129 /* - - - H - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
130
131 30 PetscErrorCode MatCreateExplicit_Linear_HA(MPI_Comm comm,PEP_LINEAR *ctx,Mat *A)
132 {
133 30 Mat T=NULL;
134 30 PetscScalar scalt=1.0;
135 30 PetscReal a=ctx->alpha,b=ctx->beta;
136
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 30 PetscFunctionBegin;
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 30 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
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 10 PetscCall(MatScale(T,a*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatAXPY(T,b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,UNKNOWN_NONZERO_PATTERN));
142 } else {
143
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 20 if (a==0.0) { T = ctx->M; scalt = b*ctx->dsfactor*ctx->sfactor*ctx->sfactor; }
144 10 else { T = ctx->C; scalt = a*ctx->dsfactor*ctx->sfactor; }
145 }
146
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 30 PetscCall(MatCreateTile(a*ctx->dsfactor,ctx->K,-b*ctx->dsfactor,ctx->K,scalt,T,a*ctx->dsfactor,ctx->K,A));
147
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 30 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
148
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 6 PetscFunctionReturn(PETSC_SUCCESS);
149 }
150
151 30 PetscErrorCode MatCreateExplicit_Linear_HB(MPI_Comm comm,PEP_LINEAR *ctx,Mat *B)
152 {
153 30 Mat T=NULL;
154 30 PetscScalar scalt=1.0;
155 30 PetscReal a=ctx->alpha,b=ctx->beta;
156
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 30 PetscFunctionBegin;
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 30 if (a!=0.0 && b!=0.0) {
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 10 PetscCall(MatDuplicate(ctx->C,MAT_COPY_VALUES,&T));
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 10 PetscCall(MatScale(T,b*ctx->dsfactor*ctx->sfactor));
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 10 PetscCall(MatAXPY(T,a*ctx->dsfactor,ctx->K,UNKNOWN_NONZERO_PATTERN));
162 } else {
163
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 20 if (b==0.0) { T = ctx->K; scalt = a*ctx->dsfactor; }
164 10 else { T = ctx->C; scalt = b*ctx->dsfactor*ctx->sfactor; }
165 }
166
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 30 PetscCall(MatCreateTile(b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,scalt,T,-a*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,b*ctx->dsfactor*ctx->sfactor*ctx->sfactor,ctx->M,B));
167
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 30 if (a!=0.0 && b!=0.0) PetscCall(MatDestroy(&T));
168
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 6 PetscFunctionReturn(PETSC_SUCCESS);
169 }
170