Date: 2026-05-01T10:02:02+00:00

Actual source code: pepimpl.h

      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: #pragma once

     13: #include <slepcpep.h>
     14: #include <slepc/private/slepcimpl.h>

     16: /* SUBMANSEC = PEP */

     18: SLEPC_EXTERN PetscBool PEPRegisterAllCalled;
     19: SLEPC_EXTERN PetscBool PEPMonitorRegisterAllCalled;
     20: SLEPC_EXTERN PetscErrorCode PEPRegisterAll(void);
     21: SLEPC_EXTERN PetscErrorCode PEPMonitorRegisterAll(void);
     22: SLEPC_EXTERN PetscLogEvent PEP_SetUp,PEP_Solve,PEP_Refine,PEP_CISS_SVD;

     24: typedef struct _PEPOps *PEPOps;

     26: struct _PEPOps {
     27:   PetscErrorCode (*solve)(PEP);
     28:   PetscErrorCode (*setup)(PEP);
     29:   PetscErrorCode (*setfromoptions)(PEP,PetscOptionItems);
     30:   PetscErrorCode (*publishoptions)(PEP);
     31:   PetscErrorCode (*destroy)(PEP);
     32:   PetscErrorCode (*reset)(PEP);
     33:   PetscErrorCode (*view)(PEP,PetscViewer);
     34:   PetscErrorCode (*backtransform)(PEP);
     35:   PetscErrorCode (*computevectors)(PEP);
     36:   PetscErrorCode (*extractvectors)(PEP);
     37:   PetscErrorCode (*setdefaultst)(PEP);
     38:   PetscErrorCode (*setdstype)(PEP);
     39: };

     41: /*
     42:      Maximum number of monitors you can run with a single PEP
     43: */
     44: #define MAXPEPMONITORS 5

     46: typedef enum { PEP_STATE_INITIAL,
     47:                PEP_STATE_SETUP,
     48:                PEP_STATE_SOLVED,
     49:                PEP_STATE_EIGENVECTORS } PEPStateType;

     51: /*
     52:    To check for unsupported features at PEPSetUp_XXX()
     53: */
     54: typedef enum { PEP_FEATURE_NONMONOMIAL=1,   /* non-monomial bases */
     55:                PEP_FEATURE_REGION=4,        /* nontrivial region for filtering */
     56:                PEP_FEATURE_EXTRACT=8,       /* eigenvector extraction */
     57:                PEP_FEATURE_CONVERGENCE=16,  /* convergence test selected by user */
     58:                PEP_FEATURE_STOPPING=32,     /* stopping test */
     59:                PEP_FEATURE_SCALE=64         /* scaling */
     60:              } PEPFeatureType;

     62: /*
     63:    Defines the PEP data structure.
     64: */
     65: struct _p_PEP {
     66:   PETSCHEADER(struct _PEPOps);
     67:   /*------------------------- User parameters ---------------------------*/
     68:   PetscInt       max_it;           /* maximum number of iterations */
     69:   PetscInt       nev;              /* number of eigenvalues to compute */
     70:   PetscInt       ncv;              /* number of basis vectors */
     71:   PetscInt       mpd;              /* maximum dimension of projected problem */
     72:   PetscInt       nini;             /* number of initial vectors (negative means not copied yet) */
     73:   PetscScalar    target;           /* target value */
     74:   PetscReal      tol;              /* tolerance */
     75:   PEPConv        conv;             /* convergence test */
     76:   PEPStop        stop;             /* stopping test */
     77:   PEPWhich       which;            /* which part of the spectrum to be sought */
     78:   PetscReal      inta,intb;        /* interval [a,b] for spectrum slicing */
     79:   PEPBasis       basis;            /* polynomial basis used to represent the problem */
     80:   PEPProblemType problem_type;     /* which kind of problem to be solved */
     81:   PEPScale       scale;            /* scaling strategy to be used */
     82:   PetscReal      sfactor,dsfactor; /* scaling factors */
     83:   PetscInt       sits;             /* number of iterations of the scaling method */
     84:   PetscReal      slambda;          /* norm eigenvalue approximation for scaling */
     85:   PEPRefine      refine;           /* type of refinement to be applied after solve */
     86:   PetscInt       npart;            /* number of partitions of the communicator */
     87:   PetscReal      rtol;             /* tolerance for refinement */
     88:   PetscInt       rits;             /* number of iterations of the refinement method */
     89:   PEPRefineScheme scheme;          /* scheme for solving linear systems within refinement */
     90:   PEPExtract     extract;          /* type of extraction used */
     91:   PetscBool      trackall;         /* whether all the residuals must be computed */

     93:   /*-------------- User-provided functions and contexts -----------------*/
     94:   PEPConvergenceTestFn *converged;
     95:   PEPConvergenceTestFn *convergeduser;
     96:   PetscCtxDestroyFn    *convergeddestroy;
     97:   PEPStoppingTestFn    *stopping;
     98:   PEPStoppingTestFn    *stoppinguser;
     99:   PetscCtxDestroyFn    *stoppingdestroy;
    100:   void                 *convergedctx;
    101:   void                 *stoppingctx;
    102:   PEPMonitorFn         *monitor[MAXPEPMONITORS];
    103:   PetscCtxDestroyFn    *monitordestroy[MAXPEPMONITORS];
    104:   void                 *monitorcontext[MAXPEPMONITORS];
    105:   PetscInt             numbermonitors;

    107:   /*----------------- Child objects and working data -------------------*/
    108:   ST             st;               /* spectral transformation object */
    109:   DS             ds;               /* direct solver object */
    110:   BV             V;                /* set of basis vectors and computed eigenvectors */
    111:   RG             rg;               /* optional region for filtering */
    112:   SlepcSC        sc;               /* sorting criterion data */
    113:   Mat            *A;               /* coefficient matrices of the polynomial */
    114:   PetscInt       nmat;             /* number of matrices */
    115:   Vec            Dl,Dr;            /* diagonal matrices for balancing */
    116:   Vec            *IS;              /* references to user-provided initial space */
    117:   PetscScalar    *eigr,*eigi;      /* real and imaginary parts of eigenvalues */
    118:   PetscReal      *errest;          /* error estimates */
    119:   PetscInt       *perm;            /* permutation for eigenvalue ordering */
    120:   PetscReal      *pbc;             /* coefficients defining the polynomial basis */
    121:   PetscScalar    *solvematcoeffs;  /* coefficients to compute the matrix to be inverted */
    122:   PetscInt       nwork;            /* number of work vectors */
    123:   Vec            *work;            /* work vectors */
    124:   KSP            refineksp;        /* ksp used in refinement */
    125:   PetscSubcomm   refinesubc;       /* context for sub-communicators */
    126:   void           *data;            /* placeholder for solver-specific stuff */

    128:   /* ----------------------- Status variables --------------------------*/
    129:   PEPStateType   state;            /* initial -> setup -> solved -> eigenvectors */
    130:   PetscInt       nconv;            /* number of converged eigenvalues */
    131:   PetscInt       its;              /* number of iterations so far computed */
    132:   PetscInt       n,nloc;           /* problem dimensions (global, local) */
    133:   PetscReal      *nrma;            /* computed matrix norms */
    134:   PetscReal      nrml[2];          /* computed matrix norms for the linearization */
    135:   PetscBool      sfactor_set;      /* flag to indicate the user gave sfactor */
    136:   PetscBool      lineariz;         /* current solver is based on linearization */
    137:   PEPConvergedReason reason;
    138: };

    140: /*
    141:     Macros to test valid PEP arguments
    142: */
    143: #if !defined(PETSC_USE_DEBUG)

    145: #define PEPCheckSolved(h,arg) do {(void)(h);} while (0)

    147: #else

    149: #define PEPCheckSolved(h,arg) \
    150:   do { \
    151:     PetscCheck((h)->state>=PEP_STATE_SOLVED,PetscObjectComm((PetscObject)(h)),PETSC_ERR_ARG_WRONGSTATE,"Must call PEPSolve() first: Parameter #%d",arg); \
    152:   } while (0)

    154: #endif

    156: /*
    157:     Macros to check settings at PEPSetUp()
    158: */

    160: /* PEPCheckHermitian: the problem is Hermitian or Hyperbolic */
    161: #define PEPCheckHermitianCondition(pep,condition,msg) \
    162:   do { \
    163:     if (condition) { \
    164:       PetscCheck((pep)->problem_type==PEP_HERMITIAN || (pep)->problem_type==PEP_HYPERBOLIC,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s can only be used for Hermitian (or hyperbolic) problems",((PetscObject)(pep))->type_name,(msg)); \
    165:     } \
    166:   } while (0)
    167: #define PEPCheckHermitian(pep) PEPCheckHermitianCondition(pep,PETSC_TRUE,"")

    169: /* PEPCheckQuadratic: the polynomial has degree 2 */
    170: #define PEPCheckQuadraticCondition(pep,condition,msg) \
    171:   do { \
    172:     if (condition) { \
    173:       PetscCheck((pep)->nmat==3,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s is only available for quadratic problems",((PetscObject)(pep))->type_name,(msg)); \
    174:     } \
    175:   } while (0)
    176: #define PEPCheckQuadratic(pep) PEPCheckQuadraticCondition(pep,PETSC_TRUE,"")

    178: /* PEPCheckShiftSinvert: shift or shift-and-invert ST */
    179: #define PEPCheckShiftSinvertCondition(pep,condition,msg) \
    180:   do { \
    181:     if (condition) { \
    182:       PetscBool __flg; \
    183:       PetscCall(PetscObjectTypeCompareAny((PetscObject)(pep)->st,&__flg,STSINVERT,STSHIFT,"")); \
    184:       PetscCheck(__flg,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s requires shift or shift-and-invert spectral transform",((PetscObject)(pep))->type_name,(msg)); \
    185:     } \
    186:   } while (0)
    187: #define PEPCheckShiftSinvert(pep) PEPCheckShiftSinvertCondition(pep,PETSC_TRUE,"")

    189: /* PEPCheckSinvertCayley: shift-and-invert or Cayley ST */
    190: #define PEPCheckSinvertCayleyCondition(pep,condition,msg) \
    191:   do { \
    192:     if (condition) { \
    193:       PetscBool __flg; \
    194:       PetscCall(PetscObjectTypeCompareAny((PetscObject)(pep)->st,&__flg,STSINVERT,STCAYLEY,"")); \
    195:       PetscCheck(__flg,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s requires shift-and-invert or Cayley transform",((PetscObject)(pep))->type_name,(msg)); \
    196:     } \
    197:   } while (0)
    198: #define PEPCheckSinvertCayley(pep) PEPCheckSinvertCayleyCondition(pep,PETSC_TRUE,"")

    200: /* Check for unsupported features */
    201: #define PEPCheckUnsupportedCondition(pep,mask,condition,msg) \
    202:   do { \
    203:     if (condition) { \
    204:       PetscCheck(!((mask) & PEP_FEATURE_NONMONOMIAL) || (pep)->basis==PEP_BASIS_MONOMIAL,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s is not implemented for non-monomial bases",((PetscObject)(pep))->type_name,(msg)); \
    205:       if ((mask) & PEP_FEATURE_REGION) { \
    206:         PetscBool      __istrivial; \
    207:         PetscCall(RGIsTrivial((pep)->rg,&__istrivial)); \
    208:         PetscCheck(__istrivial,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s does not support region filtering",((PetscObject)(pep))->type_name,(msg)); \
    209:       } \
    210:       PetscCheck(!((mask) & PEP_FEATURE_EXTRACT) || !(pep)->extract || (pep)->extract==PEP_EXTRACT_NONE,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s does not support extraction variants",((PetscObject)(pep))->type_name,(msg)); \
    211:       PetscCheck(!((mask) & PEP_FEATURE_CONVERGENCE) || (pep)->converged==PEPConvergedRelative,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s only supports the default convergence test",((PetscObject)(pep))->type_name,(msg)); \
    212:       PetscCheck(!((mask) & PEP_FEATURE_STOPPING) || (pep)->stopping==PEPStoppingBasic,PetscObjectComm((PetscObject)(pep)),PETSC_ERR_SUP,"The solver '%s'%s only supports the default stopping test",((PetscObject)(pep))->type_name,(msg)); \
    213:     } \
    214:   } while (0)
    215: #define PEPCheckUnsupported(pep,mask) PEPCheckUnsupportedCondition(pep,mask,PETSC_TRUE,"")

    217: /* Check for ignored features */
    218: #define PEPCheckIgnoredCondition(pep,mask,condition,msg) \
    219:   do { \
    220:     if (condition) { \
    221:       if (((mask) & PEP_FEATURE_NONMONOMIAL) && (pep)->basis!=PEP_BASIS_MONOMIAL) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the basis settings\n",((PetscObject)(pep))->type_name,(msg))); \
    222:       if ((mask) & PEP_FEATURE_REGION) { \
    223:         PetscBool __istrivial; \
    224:         PetscCall(RGIsTrivial((pep)->rg,&__istrivial)); \
    225:         if (!__istrivial) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the specified region\n",((PetscObject)(pep))->type_name,(msg))); \
    226:       } \
    227:       if (((mask) & PEP_FEATURE_EXTRACT) && (pep)->extract && (pep)->extract!=PEP_EXTRACT_NONE) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the extract settings\n",((PetscObject)(pep))->type_name,(msg))); \
    228:       if (((mask) & PEP_FEATURE_CONVERGENCE) && (pep)->converged!=PEPConvergedRelative) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the convergence test settings\n",((PetscObject)(pep))->type_name,(msg))); \
    229:       if (((mask) & PEP_FEATURE_STOPPING) && (pep)->stopping!=PEPStoppingBasic) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the stopping test settings\n",((PetscObject)(pep))->type_name,(msg))); \
    230:       if (((mask) & PEP_FEATURE_SCALE) && (pep)->scale!=PEP_SCALE_NONE) PetscCall(PetscInfo((pep),"The solver '%s'%s ignores the scaling settings\n",((PetscObject)(pep))->type_name,(msg))); \
    231:     } \
    232:   } while (0)
    233: #define PEPCheckIgnored(pep,mask) PEPCheckIgnoredCondition(pep,mask,PETSC_TRUE,"")

    235: /*
    236:   PEP_KSPSetOperators - Sets the KSP matrices
    237: */
    238: static inline PetscErrorCode PEP_KSPSetOperators(KSP ksp,Mat A,Mat B)
    239: {
    240:   const char     *prefix;

    242:   PetscFunctionBegin;
    243:   PetscCall(KSPSetOperators(ksp,A,B));
    244:   PetscCall(MatGetOptionsPrefix(B,&prefix));
    245:   if (!prefix) {
    246:     /* set Mat prefix to be the same as KSP to enable setting command-line options (e.g. MUMPS)
    247:        only applies if the Mat has no user-defined prefix */
    248:     PetscCall(KSPGetOptionsPrefix(ksp,&prefix));
    249:     PetscCall(MatSetOptionsPrefix(B,prefix));
    250:   }
    251:   PetscFunctionReturn(PETSC_SUCCESS);
    252: }

    254: SLEPC_INTERN PetscErrorCode PEPSetWhichEigenpairs_Default(PEP);
    255: SLEPC_INTERN PetscErrorCode PEPSetDimensions_Default(PEP,PetscInt,PetscInt*,PetscInt*);
    256: SLEPC_INTERN PetscErrorCode PEPExtractVectors(PEP);
    257: SLEPC_INTERN PetscErrorCode PEPBackTransform_Default(PEP);
    258: SLEPC_INTERN PetscErrorCode PEPComputeVectors(PEP);
    259: SLEPC_INTERN PetscErrorCode PEPComputeVectors_Default(PEP);
    260: SLEPC_INTERN PetscErrorCode PEPComputeVectors_Indefinite(PEP);
    261: SLEPC_INTERN PetscErrorCode PEPComputeResidualNorm_Private(PEP,PetscScalar,PetscScalar,Vec,Vec,Vec*,PetscReal*);
    262: SLEPC_INTERN PetscErrorCode PEPKrylovConvergence(PEP,PetscBool,PetscInt,PetscInt,PetscReal,PetscInt*);
    263: SLEPC_INTERN PetscErrorCode PEPComputeScaleFactor(PEP);
    264: SLEPC_INTERN PetscErrorCode PEPBuildDiagonalScaling(PEP);
    265: SLEPC_INTERN PetscErrorCode PEPBasisCoefficients(PEP,PetscReal*);
    266: SLEPC_INTERN PetscErrorCode PEPEvaluateBasis(PEP,PetscScalar,PetscScalar,PetscScalar*,PetscScalar*);
    267: SLEPC_INTERN PetscErrorCode PEPEvaluateBasisDerivative(PEP,PetscScalar,PetscScalar,PetscScalar*,PetscScalar*);
    268: SLEPC_INTERN PetscErrorCode PEPEvaluateBasisMat(PEP,PetscInt,PetscScalar*,PetscInt,PetscInt,PetscScalar*,PetscInt,PetscScalar*,PetscInt,PetscScalar*,PetscInt);
    269: SLEPC_INTERN PetscErrorCode PEPNewtonRefinement_TOAR(PEP,PetscScalar,PetscInt*,PetscReal*,PetscInt,PetscScalar*,PetscInt);
    270: SLEPC_INTERN PetscErrorCode PEPNewtonRefinementSimple(PEP,PetscInt*,PetscReal,PetscInt);
    271: SLEPC_INTERN PetscErrorCode PEPSetDefaultST(PEP);
    272: SLEPC_INTERN PetscErrorCode PEPSetDefaultST_Transform(PEP);