Actual source code: petscblaslapack.h

      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_UNDERSCORE BLAS/LAPACK function have an underscore at the end of each function name
     12:   PETSC_BLASLAPACK_CAPS BLAS/LAPACK function names are all in capital letters
     13:   PETSC_BLASLAPACK_C BLAS/LAPACK function names have no mangling

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

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

     20: */
     21: #if !defined(_BLASLAPACK_H)
     22: #define _BLASLAPACK_H

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

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

     37: PETSC_STATIC_INLINE void PetscMissingLapack(const char *fname,...)
     38: {
     39:   char mesg[1024];
     40:   PetscSNPrintf(mesg,1024,"%s - Lapack routine is unavailable.",fname);
     41:   SETERRABORT(PETSC_COMM_SELF,PETSC_ERR_SUP,mesg);
     42: }

     44: #include <petscblaslapack_mangle.h>

     46: BLAS_EXTERN void LAPACKgetrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
     47: BLAS_EXTERN void LAPACKREALgetrf_(PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
     48: BLAS_EXTERN void LAPACKgetri_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     49: BLAS_EXTERN void LAPACKREALgetri_(PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
     50: #if !defined(PETSC_MISSING_LAPACK_ORGQR)
     51: BLAS_EXTERN void LAPACKorgqr_(PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     52: #else
     53: #define LAPACKorgqr_(a,b,c,d,e,f,g,h,i) PetscMissingLapack("ORGQR",a,b,c,d,e,f,g,h,i)
     54: #endif
     55: BLAS_EXTERN void LAPACKgeqrf_(PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     56: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
     57: BLAS_EXTERN double BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     58: #else
     59: BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     60: #endif
     61: BLAS_EXTERN void BLASscal_(const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     62: BLAS_EXTERN void BLAScopy_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     63: BLAS_EXTERN void BLASswap_(const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     64: BLAS_EXTERN void BLASaxpy_(const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     65: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
     66: BLAS_EXTERN double BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     67: #else
     68: BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
     69: #endif
     70: BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*);
     71: #if !defined(PETSC_MISSING_LAPACK_STEIN)
     72: 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*);
     73: #else
     74: #define LAPACKstein_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("STEIN",a,b,c,d,e,f,g,h,i,j,k,l)
     75: #endif
     76: BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);

     78: BLAS_EXTERN void LAPACKpotrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     79: BLAS_EXTERN void LAPACKpotri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     80: BLAS_EXTERN void LAPACKpotrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     81: BLAS_EXTERN void LAPACKsytrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     82: BLAS_EXTERN void LAPACKsytrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     83: #if !defined(PETSC_MISSING_LAPACK_SYTRI)
     84: BLAS_EXTERN void LAPACKsytri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
     85: #else
     86: #define LAPACKsytri_(a,b,c,d,e,f,g) PetscMissingLapack("SYTRI",a,b,c,d,e,f,g)
     87: #endif
     88: BLAS_EXTERN void BLASsyrk_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     89: BLAS_EXTERN void BLASsyr2k_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     90: 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*);
     91: BLAS_EXTERN void LAPACKgetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     92: BLAS_EXTERN void BLAStrmv_(const char*,const char*,const char*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*);
     93: BLAS_EXTERN void BLASgemm_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     94: BLAS_EXTERN void BLASREALgemm_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,const PetscReal*,const PetscReal*,const PetscBLASInt*,const PetscReal*,const PetscBLASInt*,const PetscReal*,PetscReal*,const PetscBLASInt*);
     95: BLAS_EXTERN void BLASsymm_(const char*,const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscScalar*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,PetscScalar*,const PetscBLASInt*);
     96: 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*);
     97: #if !defined(PETSC_MISSING_LAPACK_ORMQR)
     98: BLAS_EXTERN void LAPACKormqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
     99: #else
    100: #define LAPACKormqr_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("ORMQR",a,b,c,d,e,f,g,h,i,j,k,l,m)
    101: #endif
    102: #if !defined(PETSC_MISSING_LAPACK_STEGR)
    103: BLAS_EXTERN void LAPACKstegr_(const char*,const char *,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    104: #else
    105: #define LAPACKstegr_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) PetscMissingLapack("STEGR",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t)
    106: #endif
    107: #if !defined(PETSC_MISSING_LAPACK_STEQR)
    108: BLAS_EXTERN void LAPACKsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    109: BLAS_EXTERN void LAPACKREALsteqr_(const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    110: #else
    111: #define LAPACKsteqr_(a,b,c,d,e,f,g,h) PetscMissingLapack("STEQR",a,b,c,d,e,f,g,h)
    112: #define LAPACKREALsteqr_(a,b,c,d,e,f,g,h) PetscMissingLapack("STEQR",a,b,c,d,e,f,g,h)
    113: #endif
    114: #if !defined(PETSC_MISSING_LAPACK_HGEQZ)
    115: 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 *);
    116: #else
    117: #define LAPACKhgeqz_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t) PetscMissingLapack("HGEQZ",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t)
    118: #endif
    119: #if !defined(PETSC_MISSING_LAPACK_TRTRS)
    120: BLAS_EXTERN void LAPACKtrtrs_(const char *,const char *, const char *,PetscBLASInt *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscScalar *,PetscBLASInt *,PetscBLASInt *);
    121: #else
    122: #define LAPACKtrtrs_(a,b,c,d,e,f,g,h,i,j) PetscMissingLapack("TRTRS",a,b,c,d,e,f,g,h,i,j)
    123: #endif
    124: BLAS_EXTERN void LAPACKgels_(const char*,const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);

    126: /* handle complex dot() with special code */
    127: #if defined(PETSC_USE_COMPLEX)
    128: PETSC_STATIC_INLINE PetscScalar BLASdot_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
    129: {
    130:   PetscScalar sum=0.0;
    131:   PetscInt    i,j,k;
    132:   if (*sx==1 && *sy==1) {
    133:     for (i=0; i < *n; i++) sum += PetscConj(x[i])*y[i];
    134:   } else {
    135:     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += PetscConj(x[j])*y[k];
    136:   }
    137:   return sum;
    138: }
    139: PETSC_STATIC_INLINE PetscScalar BLASdotu_(const PetscBLASInt *n,const PetscScalar *x,const PetscBLASInt *sx,const PetscScalar *y,const PetscBLASInt *sy)
    140: {
    141:   PetscScalar sum=0.0;
    142:   PetscInt    i,j,k;
    143:   if (*sx==1 && *sy==1) {
    144:     for (i=0; i < *n; i++) sum += x[i]*y[i];
    145:   } else {
    146:     for (i=0,j=0,k=0; i < *n; i++,j+=*sx,k+=*sy) sum += x[j]*y[k];
    147:   }
    148:   return sum;
    149: }
    150: #else
    151: #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
    152: BLAS_EXTERN double BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    153: BLAS_EXTERN double BLASdotu_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    154: #else
    155: BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*,const PetscScalar*,const PetscBLASInt*);
    156: #endif
    157: #endif

    159: /* Some functions prototypes do not exist for reals */
    160: #if defined(PETSC_USE_COMPLEX)
    161: BLAS_EXTERN void LAPACKhetrf_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    162: BLAS_EXTERN void LAPACKhetrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    163: BLAS_EXTERN void LAPACKhetri_(const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*);
    164: #endif
    165: /* Some functions prototypes differ between real and complex */
    166: #if defined(PETSC_USE_COMPLEX)
    167: #if !defined(PETSC_MISSING_LAPACK_GELSS)
    168: 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*);
    169: #else
    170: #define LAPACKgelss_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("GELSS",a,b,c,d,e,f,g,h,i,j,k,l,m,n)
    171: #endif
    172: BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    173: 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*);
    174: BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    175: 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*);
    176: BLAS_EXTERN void LAPACKpttrs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    177: #if !defined(PETSC_MISSING_LAPACK_GERFS)
    178: BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscReal*,PetscBLASInt*);
    179: #else
    180: #define LAPACKgerfs_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q) PetscMissingLapack("GERFS",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q)
    181: #endif
    182: #if !defined(PETSC_MISSING_LAPACK_TRSEN)
    183: BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    184: #else
    185: #define LAPACKtrsen_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o) PetscMissingLapack("TRSEN",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o)
    186: #endif
    187: #if !defined(PETSC_MISSING_LAPACK_TGSEN)
    188: 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*);
    189: #else
    190: #define LAPACKtgsen_(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("TGSEN",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x)
    191: #endif
    192: #if !defined(PETSC_MISSING_LAPACK_GGES)
    193: 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*);
    194: #else
    195: #define LAPACKgges_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u) PetscMissingLapack("GGES",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u)
    196: #endif
    197: #if !defined(PETSC_MISSING_LAPACK_HSEQR)
    198: BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    199: #else
    200: #define LAPACKhseqr_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("HSEQR",a,b,c,d,e,f,g,h,i,j,k,l,m)
    201: #endif
    202: #else /* !defined(PETSC_USE_COMPLEX) */
    203: #if !defined(PETSC_MISSING_LAPACK_GELSS)
    204: BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt*,const PetscBLASInt*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,const PetscReal*,PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    205: #else
    206: #define LAPACKgelss_(a,b,c,d,e,f,g,h,i,j,k,l,m) PetscMissingLapack("GELSS",a,b,c,d,e,f,g,h,i,j,k,l,m)
    207: #endif
    208: BLAS_EXTERN void LAPACKsyev_(const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    209: 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*);
    210: BLAS_EXTERN void LAPACKsygv_(PetscBLASInt*,const char*,const char*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    211: 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*);
    212: BLAS_EXTERN void LAPACKpttrs_(PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    213: #if !defined(PETSC_MISSING_LAPACK_STEBZ)
    214: BLAS_EXTERN void LAPACKstebz_(const char*,const char*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscBLASInt*);
    215: #else
    216: #define LAPACKstebz_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r) PetscMissingLapack("STEBZ",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r)
    217: #endif
    218: #if !defined(PETSC_MISSING_LAPACK_GERFS)
    219: BLAS_EXTERN void LAPACKgerfs_(const char*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    220: #else
    221: #define LAPACKgerfs_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q) PetscMissingLapack("GERFS",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q)
    222: #endif
    223: #if !defined(PETSC_MISSING_LAPACK_TRSEN)
    224: BLAS_EXTERN void LAPACKtrsen_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscBLASInt*,PetscReal*,PetscReal*,PetscReal*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*);
    225: #else
    226: #define LAPACKtrsen_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r) PetscMissingLapack("TRSEN",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r)
    227: #endif
    228: #if !defined(PETSC_MISSING_LAPACK_TGSEN)
    229: 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*);
    230: #else
    231: #define LAPACKtgsen_(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("TGSEN",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)
    232: #endif
    233: #if !defined(PETSC_MISSING_LAPACK_GGES)
    234: 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*);
    235: #else
    236: #define LAPACKgges_(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u) PetscMissingLapack("GGES",a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u)
    237: #endif
    238: #if !defined(PETSC_MISSING_LAPACK_HSEQR)
    239: BLAS_EXTERN void LAPACKhseqr_(const char*,const char*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    240: #else
    241: #define LAPACKhseqr_(a,b,c,d,e,f,g,h,i,j,k,l,m,n) PetscMissingLapack("HSEQR",a,b,c,d,e,f,g,h,i,j,k,l,m,n)
    242: #endif
    243: #endif /* defined(PETSC_USE_COMPLEX) */

    245: /* ESSL uses a different calling sequence for dgeev(), zgeev() than LAPACK; */
    246: #if defined(PETSC_HAVE_ESSL) && defined(PETSC_USE_COMPLEX)
    247: BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    248: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    249: #elif defined(PETSC_HAVE_ESSL)
    250: BLAS_EXTERN void LAPACKgeev_(PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscBLASInt*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    251: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,PetscBLASInt *,PetscBLASInt*,PetscScalar *,PetscBLASInt*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    252: #elif defined(PETSC_USE_COMPLEX)
    253: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
    254: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,const PetscBLASInt *,const PetscBLASInt*,PetscScalar *,const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscReal*,PetscBLASInt*);
    255: #else
    256: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
    257: BLAS_EXTERN void LAPACKgesvd_(const char*,const char*,const PetscBLASInt *,const PetscBLASInt*,PetscScalar *,const PetscBLASInt*,PetscReal*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscScalar*,const PetscBLASInt*,PetscBLASInt*);
    258: #endif

    260: #endif