LCOV - code coverage report
Current view: top level - home/gitlab-runner/builds/q8svuz_Y/0/slepc/petsc/include - petscblaslapack.h (source / functions) Hit Total Coverage
Test: SLEPc Lines: 7 7 100.0 %
Date: 2024-11-21 00:40:22 Functions: 1 1 100.0 %
Legend: Lines: hit not hit

          Line data    Source code
       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
       4             : 
       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.
       7             : 
       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.
      10             : 
      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
      14             : 
      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 not clear if any exist now.
      17             : 
      18             :   PetscBLASInt is almost always 32-bit integers but can be 64-bit integers for certain usages of MKL and OpenBLAS BLAS/LAPACK libraries
      19             : 
      20             : */
      21             : #pragma once
      22             : 
      23             : #include <petscsys.h>
      24             : #if defined(__cplusplus)
      25             :   #define BLAS_EXTERN extern "C"
      26             : #else
      27             :   #define BLAS_EXTERN extern
      28             : #endif
      29             : 
      30             : /* SUBMANSEC = Sys */
      31             : 
      32             : /*MC
      33             :    PetscCallBLAS - Calls a BLAS or LAPACK routine so that the stack trace returned from any signal received inside the function call
      34             :    includes the name of the BLAS/LAPACK routine
      35             : 
      36             :    Synopsis:
      37             :    #include <petscsys.h>
      38             :    void PetscCallBLAS(char *name,routine)
      39             : 
      40             :    Not Collective
      41             : 
      42             :    Input Parameters:
      43             : +   name    - string that gives the name of the function being called
      44             : -   routine - actual call to the routine including its arguments
      45             : 
      46             :    Level: developer
      47             : 
      48             :    Developer Notes:
      49             :    This does not check error codes returned from the BLAS/LAPACK routine or ever return from the current subroutine. It merely pushes onto the PETSc
      50             :    stack the name of the BLAS/LAPACK routine before calling the routine and removes it after a successful call.
      51             : 
      52             :    LAPACK routines that return info codes should be followed by
      53             : .vb
      54             :    PetscCheck(!info, PETSC_COMM_SELF, PETSC_ERR_LIB, ...)
      55             : .ve
      56             : 
      57             :    This macro exists so that when a BLAS/LAPACK routine results in a crash or corrupts memory, they get blamed instead of PETSc.
      58             : 
      59             : .seealso: `PetscCall()`, `PetscStackPushNoCheck()`, `PetscStackPush()`, `PetscCallExternal()`, `PetscStackCallExternalVoid()`
      60             : M*/
      61             : #define PetscCallBLAS(name, routine) \
      62             :   do { \
      63             :     PetscStackPushExternal(name); \
      64             :     routine; \
      65             :     PetscStackPop; \
      66             :   } while (0)
      67             : 
      68             : static inline void PetscMissingLapack(const char *fname, ...)
      69             : {
      70             :   SETERRABORT(PETSC_COMM_SELF, PETSC_ERR_SUP, "%s - Lapack routine is unavailable.", fname);
      71             : }
      72             : 
      73             : #include <petscblaslapack_mangle.h>
      74             : 
      75             : BLAS_EXTERN void LAPACKgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
      76             : BLAS_EXTERN void LAPACKREALgetrf_(const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
      77             : BLAS_EXTERN void LAPACKgetri_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
      78             : BLAS_EXTERN void LAPACKREALgetri_(const PetscBLASInt *, PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *);
      79             : #if !defined(PETSC_MISSING_LAPACK_ORGQR)
      80             : BLAS_EXTERN void LAPACKorgqr_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
      81             : #else
      82             :   #define LAPACKorgqr_(a, b, c, d, e, f, g, h, i) PetscMissingLapack("ORGQR", a, b, c, d, e, f, g, h, i)
      83             : #endif
      84             : BLAS_EXTERN void LAPACKgeqrf_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
      85             : #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
      86             : BLAS_EXTERN double BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
      87             : #else
      88             : BLAS_EXTERN PetscReal BLASnrm2_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
      89             : #endif
      90             : BLAS_EXTERN void BLASscal_(const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
      91             : BLAS_EXTERN void BLAScopy_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
      92             : BLAS_EXTERN void BLASswap_(const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
      93             : BLAS_EXTERN void BLASaxpy_(const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
      94             : #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SNRM2_RETURNS_DOUBLE)
      95             : BLAS_EXTERN double BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
      96             : #else
      97             : BLAS_EXTERN PetscReal BLASasum_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
      98             : #endif
      99             : BLAS_EXTERN void LAPACKpttrf_(const PetscBLASInt *, PetscReal *, PetscScalar *, PetscBLASInt *);
     100             : #if !defined(PETSC_MISSING_LAPACK_STEIN)
     101             : BLAS_EXTERN void LAPACKstein_(const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
     102             : #else
     103             :   #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)
     104             : #endif
     105             : BLAS_EXTERN void LAPACKgesv_(const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     106             : 
     107             : BLAS_EXTERN void LAPACKtrtri_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     108             : BLAS_EXTERN void LAPACKpotrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     109             : BLAS_EXTERN void LAPACKpotri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     110             : BLAS_EXTERN void LAPACKpotrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     111             : BLAS_EXTERN void LAPACKsytrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     112             : BLAS_EXTERN void LAPACKsytrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     113             : #if !defined(PETSC_MISSING_LAPACK_SYTRI)
     114             : BLAS_EXTERN void LAPACKsytri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
     115             : #else
     116             :   #define LAPACKsytri_(a, b, c, d, e, f, g) PetscMissingLapack("SYTRI", a, b, c, d, e, f, g)
     117             : #endif
     118             : BLAS_EXTERN void BLASsyrk_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *);
     119             : 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 *);
     120             : 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 *);
     121             : BLAS_EXTERN void LAPACKgetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     122             : BLAS_EXTERN void BLAStrmv_(const char *, const char *, const char *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
     123             : BLAS_EXTERN void BLAStrsv_(const char *, const char *, const char *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *);
     124             : 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 *);
     125             : 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 *);
     126             : 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 *);
     127             : 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 *);
     128             : #if !defined(PETSC_MISSING_LAPACK_ORMQR)
     129             : BLAS_EXTERN void LAPACKormqr_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     130             : #else
     131             :   #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)
     132             : #endif
     133             : #if !defined(PETSC_MISSING_LAPACK_STEGR)
     134             : BLAS_EXTERN void LAPACKstegr_(const char *, const char *, const PetscBLASInt *, PetscReal *, PetscReal *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
     135             : #else
     136             :   #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)
     137             : #endif
     138             : #if !defined(PETSC_MISSING_LAPACK_STEQR)
     139             : BLAS_EXTERN void LAPACKsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     140             : BLAS_EXTERN void LAPACKREALsteqr_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     141             : #else
     142             :   #define LAPACKsteqr_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
     143             :   #define LAPACKREALsteqr_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEQR", a, b, c, d, e, f, g, h)
     144             : #endif
     145             : #if !defined(PETSC_MISSING_LAPACK_STEV)
     146             : BLAS_EXTERN void LAPACKstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     147             : BLAS_EXTERN void LAPACKREALstev_(const char *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     148             : #else
     149             :   #define LAPACKstev_(a, b, c, d, e, f, g, h)     PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
     150             :   #define LAPACKREALstev_(a, b, c, d, e, f, g, h) PetscMissingLapack("STEV", a, b, c, d, e, f, g, h)
     151             : #endif
     152             : #if !defined(PETSC_MISSING_LAPACK_HGEQZ)
     153             : 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 *);
     154             : #else
     155             :   #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)
     156             : #endif
     157             : #if !defined(PETSC_MISSING_LAPACK_TRTRS)
     158             : BLAS_EXTERN void LAPACKtrtrs_(const char *, const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     159             : #else
     160             :   #define LAPACKtrtrs_(a, b, c, d, e, f, g, h, i, j) PetscMissingLapack("TRTRS", a, b, c, d, e, f, g, h, i, j)
     161             : #endif
     162             : BLAS_EXTERN void LAPACKgels_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     163             : 
     164             : /* handle complex dot() with special code */
     165             : #if defined(PETSC_USE_COMPLEX)
     166        7900 : static inline PetscScalar BLASdot_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
     167             : {
     168        7900 :   PetscScalar sum = 0.0;
     169        7900 :   PetscInt    i, j, k;
     170        7900 :   if (*sx == 1 && *sy == 1) {
     171      368374 :     for (i = 0; i < *n; i++) sum += PetscConj(x[i]) * y[i];
     172             :   } else {
     173       24360 :     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += PetscConj(x[j]) * y[k];
     174             :   }
     175        7900 :   return sum;
     176             : }
     177             : static inline PetscScalar BLASdotu_(const PetscBLASInt *n, const PetscScalar *x, const PetscBLASInt *sx, const PetscScalar *y, const PetscBLASInt *sy)
     178             : {
     179             :   PetscScalar sum = 0.0;
     180             :   PetscInt    i, j, k;
     181             :   if (*sx == 1 && *sy == 1) {
     182             :     for (i = 0; i < *n; i++) sum += x[i] * y[i];
     183             :   } else {
     184             :     for (i = 0, j = 0, k = 0; i < *n; i++, j += *sx, k += *sy) sum += x[j] * y[k];
     185             :   }
     186             :   return sum;
     187             : }
     188             : #else
     189             :   #if defined(PETSC_USE_REAL_SINGLE) && defined(PETSC_BLASLAPACK_SDOT_RETURNS_DOUBLE)
     190             : BLAS_EXTERN double BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
     191             : BLAS_EXTERN double BLASdotu_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
     192             :   #else
     193             : BLAS_EXTERN PetscScalar BLASdot_(const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *);
     194             :   #endif
     195             : #endif
     196             : 
     197             : /* Some functions prototypes do not exist for reals */
     198             : #if defined(PETSC_USE_COMPLEX)
     199             : BLAS_EXTERN void LAPACKhetrf_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     200             : BLAS_EXTERN void LAPACKhetrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     201             : BLAS_EXTERN void LAPACKhetri_(const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *);
     202             : BLAS_EXTERN void LAPACKheev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     203             : #endif
     204             : /* Some functions prototypes differ between real and complex */
     205             : #if defined(PETSC_USE_COMPLEX)
     206             :   #if !defined(PETSC_MISSING_LAPACK_GELSS)
     207             : 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 *);
     208             :   #else
     209             :     #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)
     210             :   #endif
     211             : BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     212             : BLAS_EXTERN void LAPACKsyevx_(const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
     213             : BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     214             : BLAS_EXTERN void LAPACKsygvx_(PetscBLASInt *, const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
     215             : BLAS_EXTERN void LAPACKpttrs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     216             :   #if !defined(PETSC_MISSING_LAPACK_GERFS)
     217             : BLAS_EXTERN void LAPACKgerfs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, PetscReal *, PetscBLASInt *);
     218             :   #else
     219             :     #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)
     220             :   #endif
     221             :   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
     222             : BLAS_EXTERN void LAPACKtrsen_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     223             :   #else
     224             :     #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)
     225             :   #endif
     226             :   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
     227             : BLAS_EXTERN void LAPACKtgsen_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
     228             :   #else
     229             :     #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)
     230             :   #endif
     231             :   #if !defined(PETSC_MISSING_LAPACK_GGES)
     232             : BLAS_EXTERN void LAPACKgges_(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 *);
     233             :   #else
     234             :     #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)
     235             :   #endif
     236             :   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
     237             : BLAS_EXTERN void LAPACKhseqr_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     238             :   #else
     239             :     #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)
     240             :   #endif
     241             : #else /* !defined(PETSC_USE_COMPLEX) */
     242             :   #if !defined(PETSC_MISSING_LAPACK_GELSS)
     243             : BLAS_EXTERN void LAPACKgelss_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, const PetscReal *, PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     244             :   #else
     245             :     #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)
     246             :   #endif
     247             : BLAS_EXTERN void LAPACKsyev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     248             : BLAS_EXTERN void LAPACKsyevx_(const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
     249             : BLAS_EXTERN void LAPACKsygv_(const PetscBLASInt *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     250             : BLAS_EXTERN void LAPACKsygvx_(const PetscBLASInt *, const char *, const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *, PetscBLASInt *, PetscBLASInt *);
     251             : BLAS_EXTERN void LAPACKpttrs_(const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     252             :   #if !defined(PETSC_MISSING_LAPACK_STEBZ)
     253             : BLAS_EXTERN void LAPACKstebz_(const char *, const char *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscBLASInt *, const PetscBLASInt *, const PetscReal *, const PetscReal *, const PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscBLASInt *, PetscBLASInt *);
     254             :   #else
     255             :     #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)
     256             :   #endif
     257             :   #if !defined(PETSC_MISSING_LAPACK_GERFS)
     258             : BLAS_EXTERN void LAPACKgerfs_(const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, const PetscBLASInt *, const PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, PetscBLASInt *, PetscBLASInt *);
     259             :   #else
     260             :     #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)
     261             :   #endif
     262             :   #if !defined(PETSC_MISSING_LAPACK_TRSEN)
     263             : BLAS_EXTERN void LAPACKtrsen_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
     264             :   #else
     265             :     #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)
     266             :   #endif
     267             :   #if !defined(PETSC_MISSING_LAPACK_TGSEN)
     268             : BLAS_EXTERN void LAPACKtgsen_(const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, const PetscBLASInt *, PetscBLASInt *, const PetscBLASInt *, PetscBLASInt *);
     269             :   #else
     270             :     #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)
     271             :   #endif
     272             :   #if !defined(PETSC_MISSING_LAPACK_GGES)
     273             : BLAS_EXTERN void LAPACKgges_(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 *);
     274             :   #else
     275             :     #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)
     276             :   #endif
     277             :   #if !defined(PETSC_MISSING_LAPACK_HSEQR)
     278             : BLAS_EXTERN void LAPACKhseqr_(const char *, const char *, const PetscBLASInt *, const PetscBLASInt *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     279             :   #else
     280             :     #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)
     281             :   #endif
     282             : #endif /* defined(PETSC_USE_COMPLEX) */
     283             : 
     284             : #if defined(PETSC_USE_COMPLEX)
     285             : BLAS_EXTERN void LAPACKgeev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscBLASInt *);
     286             : 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 *);
     287             : #else
     288             : BLAS_EXTERN void LAPACKgeev_(const char *, const char *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscReal *, PetscReal *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscScalar *, const PetscBLASInt *, PetscBLASInt *);
     289             : 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 *);
     290             : #endif

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