Actual source code: petscblaslapack.h
petsc-3.10.5 2019-03-28
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      1: /*
      2:   This file dispatches between various header files for blas/lapack distributions to handle the name mangling.
      3:   It also provides C prototypes for all the BLAS/LAPACK functions that PETSc uses

      5:   This is not included automatically by petscsys.h because some external packages include their own prototypes for
      6:   certain BLAS/LAPACK functions that conflict with the ones given here. Hence this should only be included when needed.

      8:   The BLAS/LAPACK name mangling is almost (but not always) the same as the Fortran mangling; and exists even if there is
      9:   not Fortran compiler.

     11:   PETSC_BLASLAPACK_STDCALL  is for Microsoft Windows compiles, it also implicitly has capitalized function names
     12:   PETSC_BLASLAPACK_UNDERSCORE BLAS/LAPACK function have an underscore at the end of each function name
     13:   PETSC_BLASLAPACK_CAPS BLAS/LAPACK function names are all in capital letters
     14:   PETSC_BLASLAPACK_C BLAS/LAPACK function names have no mangling

     16:   PETSC_BLASLAPACK_SINGLEISDOUBLE - for Cray systems where the BLAS/LAPACK single precision (i.e. Fortran single precision is actually 64 bits)
     17:                                     old Cray vector machines used to be this way, it is is not clear if any exist now.

     19:   PetscBLASInt is almost always 32 bit integers but can be 64 bit integers for certain usages of MKL and OpenBLAS BLAS/LAPACK libraries

     21: */
     22: #if !defined(_BLASLAPACK_H)
     23: #define _BLASLAPACK_H

     25: #include <petscconf.h>
     26: #if defined(__cplusplus)
     27: #define BLAS_EXTERN extern "C"
     28: #else
     29: #define BLAS_EXTERN extern
     30: #endif

     32: #define PetscStackCallBLAS(name,routine) do {                   \
     33:     PetscStackPushNoCheck(name,PETSC_FALSE,PETSC_TRUE);         \
     34:     routine;                                                    \
     35:     PetscStackPop;                                              \
     36:   } while(0)

     38: #if defined(PETSC_BLASLAPACK_STDCALL)
     39: #include <petscblaslapack_stdcall.h>
     40: #else

     42: #include <petscblaslapack_mangle.h>

     44: BLAS_EXTERN void LAPACKgetrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
     45: BLAS_EXTERN void LAPACKgetri_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     46: BLAS_EXTERN void LAPACKorgqr_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     47: BLAS_EXTERN void LAPACKgeqrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     48: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
     49: BLAS_EXTERN double BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     50: #else
     51: BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     52: #endif
     53: BLAS_EXTERN void BLASscal_(const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     54: BLAS_EXTERN void BLAScopy_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     55: BLAS_EXTERN void BLASswap_(const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     56: BLAS_EXTERN void BLASaxpy_(const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     57: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
     58: BLAS_EXTERN double BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     59: #else
     60: BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     61: #endif
     62: BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*);
     63: BLAS_EXTERN void LAPACKstein_(const PetscBLASInt*,PetscReal*,PetscReal*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*);
     64: BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);

     66: BLAS_EXTERN void LAPACKpotrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     67: BLAS_EXTERN void LAPACKpotri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     68: BLAS_EXTERN void LAPACKpotrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     69: BLAS_EXTERN void LAPACKsytrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     70: BLAS_EXTERN void LAPACKsytrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     71: BLAS_EXTERN void LAPACKsytri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
     72: BLAS_EXTERN void BLASsyrk_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
     73: BLAS_EXTERN void BLASsyr2k_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
     74: BLAS_EXTERN void BLASgemv_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar *,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     75: BLAS_EXTERN void LAPACKgetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     76: BLAS_EXTERN void BLAStrmv_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
     77: BLAS_EXTERN void BLASgemm_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
     78: BLAS_EXTERN void BLASsymm_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*);
     79: BLAS_EXTERN void BLAStrsm_(const char*,const char*,const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     80: BLAS_EXTERN void LAPACKormqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     81: BLAS_EXTERN void LAPACKsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
     82: BLAS_EXTERN void LAPACKREALsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
     83: BLAS_EXTERN void LAPACKhgeqz_(const char *,const char *,const char *,PetscBLASInt *,PetscBLASInt *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscScalar *,PetscScalar *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscBLASInt *);
     84: BLAS_EXTERN void LAPACKtrtrs_(const char *,const char *, const char *,PetscBLASInt *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscBLASInt *);
     85: BLAS_EXTERN void LAPACKgels_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);

     87: /* handle complex dot() with special code */
     88: #if defined(PETSC_USE_COMPLEX)
     89: PETSC_STATIC_INLINE PetscScalar BLASdot_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
     90: {
     91:   PetscScalar sum=0.0;
     92:   PetscInt    i,j,k;
     93:   if (*sx==1 && *sy==1) {
     94:     for (i=0; i < *n; i++) sum += PetscConj(x[i])*y[i];
     95:   } else {
     96:     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += PetscConj(x[j])*y[k];
     97:   }
     98:   return sum;
     99: }
    100: PETSC_STATIC_INLINE PetscScalar BLASdotu_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
    101: {
    102:   PetscScalar sum=0.0;
    103:   PetscInt    i,j,k;
    104:   if (*sx==1 && *sy==1) {
    105:     for (i=0; i < *n; i++) sum += x[i]*y[i];
    106:   } else {
    107:     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += x[j]*y[k];
    108:   }
    109:   return sum;
    110: }
    111: #else
    112: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
    113: BLAS_EXTERN double BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    114: BLAS_EXTERN double BLASdotu_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    115: #else
    116: BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    117: #endif
    118: #endif

    120: /* Some functions prototypes do not exist for reals */
    121: #if defined(PETSC_USE_COMPLEX)
    122: BLAS_EXTERN void LAPACKhetrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    123: BLAS_EXTERN void LAPACKhetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    124: BLAS_EXTERN void LAPACKhetri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    125: #endif
    126: /* Some functions prototypes differ between real and complex */
    127: #if defined(PETSC_USE_COMPLEX)
    128: BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscReal*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    129: BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    130: BLAS_EXTERN void LAPACKsyevx_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    131: BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    132: BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt*,const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    133: BLAS_EXTERN void LAPACKpttrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    134: BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscReal*,PetscBLASInt*);
    135: BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    136: BLAS_EXTERN void LAPACKtgsen_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    137: BLAS_EXTERN void LAPACKgges_(const char*,const char*,const char*,PetscBLASInt(*)(),PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    138: BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    139: #else
    140: BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscReal*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    141: BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    142: BLAS_EXTERN void LAPACKsyevx_(const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    143: BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    144: BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt*,const char*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    145: BLAS_EXTERN void LAPACKpttrs_(PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    146: BLAS_EXTERN void LAPACKstebz_(const char*,const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    147: BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    148: BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    149: BLAS_EXTERN void LAPACKtgsen_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    150: BLAS_EXTERN void LAPACKgges_(const char*,const char*,const char*,PetscBLASInt(*)(void),PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    151: BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    152: #endif

    154: /* ESSL uses a different calling sequence for dgeev(), zgeev() than LAPACK; */
    155: #if defined(PETSC_HAVE_ESSL) && defined(PETSC_USE_COMPLEX)
    156: BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    157: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    158: #elif defined(PETSC_HAVE_ESSL)
    159: BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    160: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    161: #elif defined(PETSC_USE_COMPLEX)
    162: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    163: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    164: #else
    165: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    166: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    167: #endif

    169: #endif
    170: #endif