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: #if defined(PETSC_USE_COMPLEX)
246: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscScalar*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscReal*,PetscBLASInt*);
247: 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*);
248: #else
249: BLAS_EXTERN void LAPACKgeev_(const char*,const char*,PetscBLASInt *,PetscScalar *,PetscBLASInt*,PetscReal*,PetscReal*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscScalar*,PetscBLASInt*,PetscBLASInt*);
250: 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*);
251: #endif

253: #endif