GCC Code Coverage Report

Directory: ./
File: src/pep/impls/peputils.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 55 55 100.0%
Functions: 3 3 100.0%
Branches: 94 140 67.1%
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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 Common subroutines for several PEP solvers
12 */
13
14 #include <slepc/private/pepimpl.h> /*I "slepcpep.h" I*/
15 #include <slepcblaslapack.h>
16
17 /*
18 Computes T_j=phy_idx(T) for a matrix T.
19 Tp (if j>0) and Tpp (if j>1) are the evaluation
20 of phy_(j-1) and phy(j-2)respectively.
21 */
22 569 PetscErrorCode PEPEvaluateBasisMat(PEP pep,PetscInt k,PetscScalar *T,PetscInt ldt,PetscInt idx,PetscScalar *Tpp,PetscInt ldtpp,PetscScalar *Tp,PetscInt ldtp,PetscScalar *Tj,PetscInt ldtj)
23 {
24 569 PetscInt i;
25 569 PetscReal *ca,*cb,*cg;
26 569 PetscScalar g,a;
27 569 PetscBLASInt k_,ldt_,ldtj_,ldtp_;
28
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 569 PetscFunctionBegin;
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 569 if (idx==0) {
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 527 for (i=0;i<k;i++) {
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 344 PetscCall(PetscArrayzero(Tj+i*ldtj,k));
33 344 Tj[i+i*ldtj] = 1.0;
34 }
35 } else {
36
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 386 PetscCall(PetscBLASIntCast(ldt,&ldt_));
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 386 PetscCall(PetscBLASIntCast(ldtj,&ldtj_));
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 386 PetscCall(PetscBLASIntCast(ldtp,&ldtp_));
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 386 PetscCall(PetscBLASIntCast(k,&k_));
40 386 ca = pep->pbc; cb = pep->pbc+pep->nmat; cg = pep->pbc+2*pep->nmat;
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 1094 for (i=0;i<k;i++) T[i*ldt+i] -= cb[idx-1];
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 386 if (idx>1) {
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 567 for (i=0;i<k;i++) PetscCall(PetscArraycpy(Tj+i*ldtj,Tpp+i*ldtpp,k));
44 }
45 386 a = 1/ca[idx-1];
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 386 g = (idx==1)?0.0:-cg[idx-1]/ca[idx-1];
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 386 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&k_,&k_,&k_,&a,T,&ldt_,Tp,&ldtp_,&g,Tj,&ldtj_));
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 1094 for (i=0;i<k;i++) T[i*ldt+i] += cb[idx-1];
49 }
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 118 PetscFunctionReturn(PETSC_SUCCESS);
51 }
52
53 /*
54 PEPEvaluateBasis - evaluate the polynomial basis on a given parameter sigma
55 */
56 51379 PetscErrorCode PEPEvaluateBasis(PEP pep,PetscScalar sigma,PetscScalar isigma,PetscScalar *vals,PetscScalar *ivals)
57 {
58 51379 PetscInt nmat=pep->nmat,k;
59 51379 PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat;
60
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 51379 PetscFunctionBegin;
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 210750 if (ivals) for (k=0;k<nmat;k++) ivals[k] = 0.0;
63 51379 vals[0] = 1.0;
64 51379 vals[1] = (sigma-b[0])/a[0];
65 #if !defined(PETSC_USE_COMPLEX)
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 22129 if (ivals) ivals[1] = isigma/a[0];
67 #endif
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 128688 for (k=2;k<nmat;k++) {
69 77309 vals[k] = ((sigma-b[k-1])*vals[k-1]-g[k-1]*vals[k-2])/a[k-1];
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 77309 if (ivals) vals[k] -= isigma*ivals[k-1]/a[k-1];
71 #if !defined(PETSC_USE_COMPLEX)
72 28242 if (ivals) ivals[k] = ((sigma-b[k-1])*ivals[k-1]+isigma*vals[k-1]-g[k-1]*ivals[k-2])/a[k-1];
73 #endif
74 }
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 51379 PetscFunctionReturn(PETSC_SUCCESS);
76 }
77
78 /*
79 PEPEvaluateBasisDerivative - evaluate the derivative of the polynomial basis on a given parameter sigma
80 */
81 5351 PetscErrorCode PEPEvaluateBasisDerivative(PEP pep,PetscScalar sigma,PetscScalar isigma,PetscScalar *vals,PetscScalar *ivals)
82 {
83 5351 PetscInt nmat=pep->nmat,k;
84 5351 PetscReal *a=pep->pbc,*b=pep->pbc+nmat,*g=pep->pbc+2*nmat;
85
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 5351 PetscFunctionBegin;
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 5351 PetscCall(PEPEvaluateBasis(pep,sigma,isigma,vals,ivals));
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 20143 for (k=nmat-1;k>0;k--) {
89 14792 vals[k] = vals[k-1];
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 14792 if (ivals) ivals[k] = ivals[k-1];
91 }
92 5351 vals[0] = 0.0;
93 5351 vals[1] = vals[1]/a[0];
94 #if !defined(PETSC_USE_COMPLEX)
95
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 1445 if (ivals) ivals[1] = ivals[1]/a[0];
96 #endif
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 14792 for (k=2;k<nmat;k++) {
98 9441 vals[k] += (sigma-b[k-1])*vals[k-1]-g[k-1]*vals[k-2];
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 9441 if (ivals) vals[k] -= isigma*ivals[k-1];
100 9441 vals[k] /= a[k-1];
101 #if !defined(PETSC_USE_COMPLEX)
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 1583 if (ivals) {
103 1583 ivals[k] += (sigma-b[k-1])*ivals[k-1]+isigma*vals[k-1]-g[k-1]*ivals[k-2];
104 1583 ivals[k] /= a[k-1];
105 }
106 #endif
107 }
108
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 1099 PetscFunctionReturn(PETSC_SUCCESS);
109 }
110