Date: 2024-12-02T08:56:43+00:00

Actual source code: slepcblaslapack.h
slepc-3.22.2 2024-12-02
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      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: */
     10: /*
     11:    Necessary routines in BLAS and LAPACK not included in petscblaslapack.h
     12: */

     14: #pragma once

     16: #include <petscblaslapack.h>

     18: /* Macro to check nonzero info after LAPACK call */
     19: #define SlepcCheckLapackInfo(routine,info) \
     20:   do { \
     21:     PetscCheck(!info,PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in LAPACK subroutine %s: info=%" PetscBLASInt_FMT,routine,info); \
     22:   } while (0)

     24: /* LAPACK return type: we assume slange, etc. behave in the same way as snrm2 */
     25: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
     26: #define SlepcLRT double
     27: #else
     28: #define SlepcLRT PetscReal
     29: #endif

     31: /* Special macro for srot, csrot, drot, zdrot (BLASMIXEDrot_) */
     32: #if !defined(PETSC_USE_COMPLEX)
     33: # define PETSC_BLASLAPACK_MIXEDPREFIX_ PETSC_BLASLAPACK_PREFIX_
     34: #else
     35: # if defined(PETSC_BLASLAPACK_CAPS)
     36: #  if defined(PETSC_USE_REAL_SINGLE)
     37: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ CS
     38: #  elif defined(PETSC_USE_REAL_DOUBLE)
     39: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ ZD
     40: #  elif defined(PETSC_USE_REAL___FLOAT128)
     41: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ WQ
     42: #  else
     43: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ KH
     44: #  endif
     45: # else
     46: #  if defined(PETSC_USE_REAL_SINGLE)
     47: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ cs
     48: #  elif defined(PETSC_USE_REAL_DOUBLE)
     49: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ zd
     50: #  elif defined(PETSC_USE_REAL___FLOAT128)
     51: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ wq
     52: #  else
     53: #   define PETSC_BLASLAPACK_MIXEDPREFIX_ kh
     54: #  endif
     55: # endif
     56: #endif
     57: #if defined(PETSC_BLASLAPACK_CAPS)
     58: #  define PETSCBLASMIXED(x,X) PETSC_PASTE3(PETSC_BLASLAPACK_MIXEDPREFIX_, X, PETSC_BLASLAPACK_SUFFIX_)
     59: #else
     60: #  define PETSCBLASMIXED(x,X) PETSC_PASTE3(PETSC_BLASLAPACK_MIXEDPREFIX_, x, PETSC_BLASLAPACK_SUFFIX_)
     61: #endif

     63: #include <slepcblaslapack_mangle.h>

     65: /* LAPACK functions without string parameters */
     66: BLAS_EXTERN void     BLASrot_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*);
     67: BLAS_EXTERN void     BLASMIXEDrot_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*);
     68: #if !defined(SLEPC_MISSING_LAPACK_LAEV2)
     69: BLAS_EXTERN void     LAPACKlaev2_(const PetscScalar*,const PetscScalar*,const PetscScalar*,PetscReal*,PetscReal*,PetscReal*,PetscScalar*);
     70: #else
     71: #define LAPACKlaev2_(a,b,c,d,e,f,g) PetscMissingLapack("LAEV2",a,b,c,d,e,f,g);
     72: #endif
     73: #if !defined(SLEPC_MISSING_LAPACK_GEHRD)
     74: BLAS_EXTERN void     LAPACKgehrd_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
     75: #else
     76: #define LAPACKgehrd_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("GEHRD",a,b,c,d,e,f,g,h,i);
     77: #endif
     78: #if !defined(SLEPC_MISSING_LAPACK_GEBRD)
     79: BLAS_EXTERN void     LAPACKgebrd_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     80: #else
     81: #define LAPACKgebrd_(a,b,c,d,e,f,g,h,i,j,k) PetscMissingLapack("GEBRD",a,b,c,d,e,f,g,h,i,j,k);
     82: #endif
     83: #if !defined(SLEPC_MISSING_LAPACK_LARFG)
     84: BLAS_EXTERN void     LAPACKlarfg_(const PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*);
     85: #else
     86: #define LAPACKlarfg_(a,b,c,d,e) PetscMissingLapack("LARFG",a,b,c,d,e);
     87: #endif
     88: #if !defined(SLEPC_MISSING_LAPACK_LAG2)
     89: BLAS_EXTERN void     LAPACKlag2_(const PetscReal*,const PetscBLASInt*,const PetscReal*,const PetscBLASInt*,const PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*);
     90: #else
     91: #define LAPACKlag2_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("LAG2",a,b,c,d,e,f,g,h,i,j);
     92: #endif
     93: #if !defined(SLEPC_MISSING_LAPACK_LASV2)
     94: BLAS_EXTERN void     LAPACKlasv2_(const PetscReal*,const PetscReal*,const PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscReal*);
     95: #else
     96: #define LAPACKlasv2_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("LASV2",a,b,c,d,e,f,g,h,i);
     97: #endif
     98: #if !defined(SLEPC_MISSING_LAPACK_LARTG)
     99: BLAS_EXTERN void     LAPACKlartg_(const PetscScalar*,const PetscScalar*,PetscReal*,PetscScalar*,PetscScalar*);
    100: BLAS_EXTERN void     LAPACKREALlartg_(const PetscReal*,const PetscReal*,PetscReal*,PetscReal*,PetscReal*);
    101: #else
    102: #define LAPACKlartg_(a,b,c,d,e) PetscMissingLapack("LARTG",a,b,c,d,e);
    103: #define LAPACKREALlartg_(a,b,c,d,e) PetscMissingLapack("LARTG",a,b,c,d,e);
    104: #endif
    105: #if !defined(SLEPC_MISSING_LAPACK_LAED4)
    106: BLAS_EXTERN void     LAPACKlaed4_(const PetscBLASInt*,const PetscBLASInt*,const PetscReal*,const PetscReal*,PetscReal*,const PetscReal*,PetscReal*,PetscBLASInt*);
    107: #else
    108: #define LAPACKlaed4_(a,b,c,d,e,f,g,h) PetscMissingLapack("LAED4",a,b,c,d,e,f,g,h);
    109: #endif
    110: #if !defined(SLEPC_MISSING_LAPACK_LAMRG)
    111: BLAS_EXTERN void     LAPACKlamrg_(const PetscBLASInt*,const PetscBLASInt*,const PetscReal*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*);
    112: #else
    113: #define LAPACKlamrg_(a,b,c,d,e,f) PetscMissingLapack("LAMRG",a,b,c,d,e,f);
    114: #endif
    115: #if !defined(SLEPC_MISSING_LAPACK_ORGHR)
    116: BLAS_EXTERN void     LAPACKorghr_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    117: #else
    118: #define LAPACKorghr_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("ORGHR",a,b,c,d,e,f,g,h,i);
    119: #endif
    120: #if !defined(PETSC_USE_COMPLEX)
    121: #if !defined(SLEPC_MISSING_LAPACK_TGEXC)
    122: BLAS_EXTERN void     LAPACKtgexc_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    123: #else
    124: #define LAPACKtgexc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) PetscMissingLapack("TGEXC",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p);
    125: #endif
    126: BLAS_EXTERN void     LAPACKgeqp3_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    127: #else
    128: #if !defined(SLEPC_MISSING_LAPACK_TGEXC)
    129: BLAS_EXTERN void     LAPACKtgexc_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*);
    130: #else
    131: #define LAPACKtgexc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("TGEXC",a,b,c,d,e,f,g,h,i,j,k,l,m,n);
    132: #endif
    133: BLAS_EXTERN void     LAPACKgeqp3_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    134: #endif

    136: /* LAPACK functions with string parameters */

    138: /* same name for real and complex */
    139: BLAS_EXTERN void     BLAStrmm_(const char*,const char*,const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    140: BLAS_EXTERN SlepcLRT LAPACKlange_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscReal*);
    141: #if !defined(SLEPC_MISSING_LAPACK_LANHS)
    142: BLAS_EXTERN SlepcLRT LAPACKlanhs_(const char*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscReal*);
    143: #else
    144: static inline SlepcLRT LAPACKlanhs_(const char *norm,const PetscBLASInt *n,const PetscScalar *A,const PetscBLASInt *lda,PetscReal *work) {return LAPACKlange_(norm,n,n,A,lda,work);}
    145: #endif
    146: #if !defined(SLEPC_MISSING_LAPACK_LARF)
    147: BLAS_EXTERN void     LAPACKlarf_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*);
    148: #else
    149: #define LAPACKlarf_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("LARF",a,b,c,d,e,f,g,h,i);
    150: #endif
    151: BLAS_EXTERN SlepcLRT LAPACKlansy_(const char*,const char*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscReal*);
    152: #if !defined(SLEPC_MISSING_LAPACK_TRSYL)
    153: BLAS_EXTERN void     LAPACKtrsyl_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    154: #else
    155: #define LAPACKtrsyl_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("TRSYL",a,b,c,d,e,f,g,h,i,j,k,l,m);
    156: #endif
    157: #if !defined(SLEPC_MISSING_LAPACK_BDSQR)
    158: BLAS_EXTERN void     LAPACKbdsqr_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    159: #else
    160: #define LAPACKbdsqr_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o) PetscMissingLapack("BDSQR",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o);
    161: #endif

    163: /* subroutines in which we use only the real version, do not care whether they have different name */
    164: #if !defined(SLEPC_MISSING_LAPACK_STEVR)
    165: BLAS_EXTERN void     LAPACKstevr_(const char*,const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    166: #else
    167: #define LAPACKstevr_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) PetscMissingLapack("STEVR",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t);
    168: #endif
    169: #if !defined(SLEPC_MISSING_LAPACK_BDSDC)
    170: BLAS_EXTERN void     LAPACKbdsdc_(const char*,const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    171: #else
    172: #define LAPACKbdsdc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("BDSDC",a,b,c,d,e,f,g,h,i,j,k,l,m,n);
    173: #endif
    174: BLAS_EXTERN SlepcLRT LAPACKlamch_(const char*);
    175: BLAS_EXTERN SlepcLRT LAPACKlamc3_(PetscReal*,PetscReal*);

    177: /* subroutines with different name in real/complex */
    178: #if !defined(SLEPC_MISSING_LAPACK_ORGTR)
    179: BLAS_EXTERN void     LAPACKorgtr_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    180: #else
    181: #define LAPACKorgtr_(a,b,c,d,e,f,g,h) PetscMissingLapack("ORGTR",a,b,c,d,e,f,g,h);
    182: #endif
    183: #if !defined(SLEPC_MISSING_LAPACK_ORMBR)
    184: BLAS_EXTERN void     LAPACKormbr_(const char*,const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    185: #else
    186: #define LAPACKormbr_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("ORMBR",a,b,c,d,e,f,g,h,i,j,k,l,m,n);
    187: #endif
    188: #if !defined(SLEPC_MISSING_LAPACK_SYTRD)
    189: BLAS_EXTERN void     LAPACKsytrd_(const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    190: #else
    191: #define LAPACKsytrd_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("SYTRD",a,b,c,d,e,f,g,h,i,j);
    192: #endif
    193: #if !defined(PETSC_USE_COMPLEX)
    194: BLAS_EXTERN void     LAPACKsyevd_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    195: BLAS_EXTERN void     LAPACKsygvd_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    196: #else
    197: BLAS_EXTERN void     LAPACKsyevd_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    198: BLAS_EXTERN void     LAPACKsygvd_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    199: #endif

    201: /* subroutines with different signature in real/complex */
    202: #if !defined(PETSC_USE_COMPLEX)
    203: BLAS_EXTERN void     LAPACKggev_(const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    204: #if !defined(SLEPC_MISSING_LAPACK_GGEV3)
    205: BLAS_EXTERN void     LAPACKggev3_(const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    206: #else
    207: #define LAPACKggev3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q) PetscMissingLapack("GGEV3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q);
    208: #endif
    209: #if !defined(SLEPC_MISSING_LAPACK_GGES3)
    210: BLAS_EXTERN void     LAPACKgges3_(const char*,const char*,const char*,PetscBLASInt(*)(void),const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    211: #else
    212: #define LAPACKgges3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u) PetscMissingLapack("GGES3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u)
    213: #endif
    214: #if !defined(SLEPC_MISSING_LAPACK_GGSVD)
    215: BLAS_EXTERN void     LAPACKggsvd_(const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    216: #else
    217: #define LAPACKggsvd_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w) PetscMissingLapack("GGSVD",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w);
    218: #endif
    219: #if !defined(SLEPC_MISSING_LAPACK_GGSVD3)
    220: BLAS_EXTERN void     LAPACKggsvd3_(const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    221: #else
    222: #define LAPACKggsvd3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x) PetscMissingLapack("GGSVD3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x);
    223: #endif
    224: #if !defined(SLEPC_MISSING_LAPACK_TREVC)
    225: BLAS_EXTERN void     LAPACKtrevc_(const char*,const char*,PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    226: #else
    227: #define LAPACKtrevc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("TREVC",a,b,c,d,e,f,g,h,i,j,k,l,m,n);
    228: #endif
    229: BLAS_EXTERN void     LAPACKgeevx_(const char*,const char*,const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    230: BLAS_EXTERN void     LAPACKgees_(const char*,const char*,PetscBLASInt(*)(PetscReal,PetscReal),const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    231: #if !defined(SLEPC_MISSING_LAPACK_TREXC)
    232: BLAS_EXTERN void     LAPACKtrexc_(const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    233: #else
    234: #define LAPACKtrexc_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("TREXC",a,b,c,d,e,f,g,h,i,j);
    235: #endif
    236: BLAS_EXTERN void     LAPACKgesdd_(const char*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    237: #if !defined(SLEPC_MISSING_LAPACK_TGEVC)
    238: BLAS_EXTERN void     LAPACKtgevc_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    239: #else
    240: #define LAPACKtgevc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) PetscMissingLapack("TGEVC",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p);
    241: #endif
    242: #if !defined(SLEPC_MISSING_LAPACK_HSEIN)
    243: BLAS_EXTERN void     LAPACKhsein_(const char*,const char*,const char*,PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    244: #else
    245: #define LAPACKhsein_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s) PetscMissingLapack("HSEIN",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s);
    246: #endif
    247: #if !defined(SLEPC_MISSING_LAPACK_STEDC)
    248: BLAS_EXTERN void     LAPACKstedc_(const char*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*);
    249: #else
    250: #define LAPACKstedc_(a,b,c,d,e,f,g,h,i,j,k) PetscMissingLapack("STEDC",a,b,c,d,e,f,g,h,i,j,k);
    251: #endif
    252: #if !defined(SLEPC_MISSING_LAPACK_LASCL)
    253: BLAS_EXTERN void     LAPACKlascl_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    254: #else
    255: #define LAPACKlascl_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("LASCL",a,b,c,d,e,f,g,h,i,j);
    256: #endif
    257: #else
    258: BLAS_EXTERN void     LAPACKggev_(const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    259: #if !defined(SLEPC_MISSING_LAPACK_GGEV3)
    260: BLAS_EXTERN void     LAPACKggev3_(const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    261: #else
    262: #define LAPACKggev3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q) PetscMissingLapack("GGEV3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q);
    263: #endif
    264: #if !defined(SLEPC_MISSING_LAPACK_GGES3)
    265: BLAS_EXTERN void     LAPACKgges3_(const char*,const char*,const char*,PetscBLASInt(*)(void),const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    266: #else
    267: #define LAPACKgges3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u) PetscMissingLapack("GGES3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u)
    268: #endif
    269: #if !defined(SLEPC_MISSING_LAPACK_GGSVD)
    270: BLAS_EXTERN void     LAPACKggsvd_(const char*,const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    271: #else
    272: #define LAPACKggsvd_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x) PetscMissingLapack("GGSVD",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x);
    273: #endif
    274: #if !defined(SLEPC_MISSING_LAPACK_GGSVD3)
    275: BLAS_EXTERN void     LAPACKggsvd3_(const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    276: #else
    277: #define LAPACKggsvd3_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y) PetscMissingLapack("GGSVD3",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y);
    278: #endif
    279: #if !defined(SLEPC_MISSING_LAPACK_TREVC)
    280: BLAS_EXTERN void     LAPACKtrevc_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscReal*,PetscBLASInt*);
    281: #else
    282: #define LAPACKtrevc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o) PetscMissingLapack("TREVC",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o);
    283: #endif
    284: BLAS_EXTERN void     LAPACKgeevx_(const char*,const char*,const char*,const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    285: BLAS_EXTERN void     LAPACKgees_(const char*,const char*,PetscBLASInt(*)(PetscScalar),const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    286: #if !defined(SLEPC_MISSING_LAPACK_TREXC)
    287: BLAS_EXTERN void     LAPACKtrexc_(const char*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*);
    288: #else
    289: #define LAPACKtrexc_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("TREXC",a,b,c,d,e,f,g,h,i);
    290: #endif
    291: BLAS_EXTERN void     LAPACKgesdd_(const char*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    292: #if !defined(SLEPC_MISSING_LAPACK_TGEVC)
    293: BLAS_EXTERN void     LAPACKtgevc_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscReal*,PetscBLASInt*);
    294: #else
    295: #define LAPACKtgevc_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q) PetscMissingLapack("TGEVC",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q);
    296: #endif
    297: #if !defined(SLEPC_MISSING_LAPACK_HSEIN)
    298: BLAS_EXTERN void     LAPACKhsein_(const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    299: #else
    300: #define LAPACKhsein_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s) PetscMissingLapack("HSEIN",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s);
    301: #endif
    302: #if !defined(SLEPC_MISSING_LAPACK_STEDC)
    303: BLAS_EXTERN void     LAPACKstedc_(const char*,const PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,PetscBLASInt*,const PetscBLASInt*,PetscBLASInt*);
    304: #else
    305: #define LAPACKstedc_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("STEDC",a,b,c,d,e,f,g,h,i,j,k,l,m);
    306: #endif
    307: #if !defined(SLEPC_MISSING_LAPACK_LASCL)
    308: BLAS_EXTERN void     LAPACKlascl_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscReal*,const PetscReal*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    309: #else
    310: #define LAPACKlascl_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("LASCL",a,b,c,d,e,f,g,h,i,j);
    311: #endif
    312: #endif

    314: #if defined(PETSC_HAVE_COMPLEX)
    315: /* complex subroutines to be called with scalar-type=real */
    316: BLAS_EXTERN void BLASCOMPLEXgemm_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,const PetscComplex*,const PetscComplex*,const PetscBLASInt*,const PetscComplex*,const PetscBLASInt*,const PetscComplex*,PetscComplex*,const PetscBLASInt*);
    317: BLAS_EXTERN void BLASCOMPLEXscal_(const PetscBLASInt*,const PetscComplex*,PetscComplex*,const PetscBLASInt*);
    318: BLAS_EXTERN void LAPACKCOMPLEXgesv_(const PetscBLASInt*,const PetscBLASInt*,PetscComplex*,const PetscBLASInt*,PetscBLASInt*,PetscComplex*,const PetscBLASInt*,PetscBLASInt*);
    319: #endif