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// Copyright (C) 2008-2012 NICTA (www.nicta.com.au)
// Copyright (C) 2008-2012 Conrad Sanderson
// Copyright (C) 2009 Edmund Highcock
// Copyright (C) 2011 James Sanders
// Copyright (C) 2012 Eric Jon Sundstrom
// 
// This Source Code Form is subject to the terms of the Mozilla Public
// License, v. 2.0. If a copy of the MPL was not distributed with this
// file, You can obtain one at http://mozilla.org/MPL/2.0/.



#ifdef ARMA_USE_LAPACK


#if !defined(ARMA_BLAS_CAPITALS)
  
  #define arma_sgetrf sgetrf
  #define arma_dgetrf dgetrf
  #define arma_cgetrf cgetrf
  #define arma_zgetrf zgetrf
  
  #define arma_sgetri sgetri
  #define arma_dgetri dgetri
  #define arma_cgetri cgetri
  #define arma_zgetri zgetri
  
  #define arma_strtri strtri
  #define arma_dtrtri dtrtri
  #define arma_ctrtri ctrtri
  #define arma_ztrtri ztrtri
  
  #define arma_ssyev  ssyev
  #define arma_dsyev  dsyev

  #define arma_cheev  cheev
  #define arma_zheev  zheev
  
  #define arma_ssyevd ssyevd
  #define arma_dsyevd dsyevd
  
  #define arma_cheevd cheevd
  #define arma_zheevd zheevd
  
  #define arma_sgeev  sgeev
  #define arma_dgeev  dgeev
  
  #define arma_cgeev  cgeev
  #define arma_zgeev  zgeev
  
  #define arma_spotrf spotrf
  #define arma_dpotrf dpotrf
  #define arma_cpotrf cpotrf
  #define arma_zpotrf zpotrf
  
  #define arma_spotri spotri
  #define arma_dpotri dpotri
  #define arma_cpotri cpotri
  #define arma_zpotri zpotri
  
  #define arma_sgeqrf sgeqrf
  #define arma_dgeqrf dgeqrf
  #define arma_cgeqrf cgeqrf
  #define arma_zgeqrf zgeqrf
  
  #define arma_sorgqr sorgqr
  #define arma_dorgqr dorgqr
  
  #define arma_cungqr cungqr
  #define arma_zungqr zungqr
  
  #define arma_sgesvd sgesvd
  #define arma_dgesvd dgesvd
  
  #define arma_cgesvd cgesvd
  #define arma_zgesvd zgesvd
  
  #define arma_sgesdd sgesdd
  #define arma_dgesdd dgesdd
  #define arma_cgesdd cgesdd
  #define arma_zgesdd zgesdd
  
  #define arma_sgesv  sgesv
  #define arma_dgesv  dgesv
  #define arma_cgesv  cgesv
  #define arma_zgesv  zgesv
  
  #define arma_sgels  sgels
  #define arma_dgels  dgels
  #define arma_cgels  cgels
  #define arma_zgels  zgels
  
  #define arma_strtrs strtrs
  #define arma_dtrtrs dtrtrs
  #define arma_ctrtrs ctrtrs
  #define arma_ztrtrs ztrtrs

  #define arma_sgees  sgees
  #define arma_dgees  dgees
  #define arma_cgees  cgees
  #define arma_zgees  zgees
  
  #define arma_strsyl strsyl
  #define arma_dtrsyl dtrsyl
  #define arma_ctrsyl ctrsyl
  #define arma_ztrsyl ztrsyl
  
  #define arma_ssytrf ssytrf
  #define arma_dsytrf dsytrf
  #define arma_csytrf csytrf
  #define arma_zsytrf zsytrf
  
  #define arma_ssytri ssytri
  #define arma_dsytri dsytri
  #define arma_csytri csytri
  #define arma_zsytri zsytri
  
#else
  
  #define arma_sgetrf SGETRF
  #define arma_dgetrf DGETRF
  #define arma_cgetrf CGETRF
  #define arma_zgetrf ZGETRF
  
  #define arma_sgetri SGETRI
  #define arma_dgetri DGETRI
  #define arma_cgetri CGETRI
  #define arma_zgetri ZGETRI
  
  #define arma_strtri STRTRI
  #define arma_dtrtri DTRTRI
  #define arma_ctrtri CTRTRI
  #define arma_ztrtri ZTRTRI
  
  #define arma_ssyev  SSYEV
  #define arma_dsyev  DSYEV
  
  #define arma_cheev  CHEEV
  #define arma_zheev  ZHEEV
  
  #define arma_ssyevd SSYEVD
  #define arma_dsyevd DSYEVD
  
  #define arma_cheevd CHEEVD
  #define arma_zheevd ZHEEVD
  
  #define arma_sgeev  SGEEV
  #define arma_dgeev  DGEEV
  
  #define arma_cgeev  CGEEV
  #define arma_zgeev  ZGEEV
  
  #define arma_spotrf SPOTRF
  #define arma_dpotrf DPOTRF
  #define arma_cpotrf CPOTRF
  #define arma_zpotrf ZPOTRF
  
  #define arma_spotri SPOTRI
  #define arma_dpotri DPOTRI
  #define arma_cpotri CPOTRI
  #define arma_zpotri ZPOTRI
  
  #define arma_sgeqrf SGEQRF
  #define arma_dgeqrf DGEQRF
  #define arma_cgeqrf CGEQRF
  #define arma_zgeqrf ZGEQRF
  
  #define arma_sorgqr SORGQR
  #define arma_dorgqr DORGQR
  
  #define arma_cungqr CUNGQR
  #define arma_zungqr ZUNGQR
  
  #define arma_sgesvd SGESVD
  #define arma_dgesvd DGESVD
  
  #define arma_cgesvd CGESVD
  #define arma_zgesvd ZGESVD
  
  #define arma_sgesdd SGESDD
  #define arma_dgesdd DGESDD
  #define arma_cgesdd CGESDD
  #define arma_zgesdd ZGESDD
  
  #define arma_sgesv  SGESV
  #define arma_dgesv  DGESV
  #define arma_cgesv  CGESV
  #define arma_zgesv  ZGESV
  
  #define arma_sgels  SGELS
  #define arma_dgels  DGELS
  #define arma_cgels  CGELS
  #define arma_zgels  ZGELS
  
  #define arma_strtrs STRTRS
  #define arma_dtrtrs DTRTRS
  #define arma_ctrtrs CTRTRS
  #define arma_ztrtrs ZTRTRS

  #define arma_sgees  SGEES
  #define arma_dgees  DGEES
  #define arma_cgees  CGEES
  #define arma_zgees  ZGEES

  #define arma_strsyl STRSYL
  #define arma_dtrsyl DTRSYL
  #define arma_ctrsyl CTRSYL
  #define arma_ztrsyl ZTRSYL
  
  #define arma_ssytrf SSYTRF
  #define arma_dsytrf DSYTRF
  #define arma_csytrf CSYTRF
  #define arma_zsytrf ZSYTRF
  
  #define arma_ssytri SSYTRI
  #define arma_dsytri DSYTRI
  #define arma_csytri CSYTRI
  #define arma_zsytri ZSYTRI
  
#endif



extern "C"
  {
  // LU factorisation
  void arma_fortran(arma_sgetrf)(blas_int* m, blas_int* n,  float* a, blas_int* lda, blas_int* ipiv, blas_int* info);
  void arma_fortran(arma_dgetrf)(blas_int* m, blas_int* n, double* a, blas_int* lda, blas_int* ipiv, blas_int* info);
  void arma_fortran(arma_cgetrf)(blas_int* m, blas_int* n,   void* a, blas_int* lda, blas_int* ipiv, blas_int* info);
  void arma_fortran(arma_zgetrf)(blas_int* m, blas_int* n,   void* a, blas_int* lda, blas_int* ipiv, blas_int* info);
  
  // matrix inversion (using LU factorisation result)
  void arma_fortran(arma_sgetri)(blas_int* n,  float* a, blas_int* lda, blas_int* ipiv,  float* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dgetri)(blas_int* n, double* a, blas_int* lda, blas_int* ipiv, double* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_cgetri)(blas_int* n,  void*  a, blas_int* lda, blas_int* ipiv,   void* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_zgetri)(blas_int* n,  void*  a, blas_int* lda, blas_int* ipiv,   void* work, blas_int* lwork, blas_int* info);
  
  // matrix inversion (triangular matrices)
  void arma_fortran(arma_strtri)(char* uplo, char* diag, blas_int* n,  float* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_dtrtri)(char* uplo, char* diag, blas_int* n, double* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_ctrtri)(char* uplo, char* diag, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_ztrtri)(char* uplo, char* diag, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  
  // eigenvector decomposition of symmetric real matrices
  void arma_fortran(arma_ssyev)(char* jobz, char* uplo, blas_int* n,  float* a, blas_int* lda,  float* w,  float* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dsyev)(char* jobz, char* uplo, blas_int* n, double* a, blas_int* lda, double* w, double* work, blas_int* lwork, blas_int* info);
    
  // eigenvector decomposition of hermitian matrices (complex)
  void arma_fortran(arma_cheev)(char* jobz, char* uplo, blas_int* n,   void* a, blas_int* lda,  float* w,   void* work, blas_int* lwork,  float* rwork, blas_int* info);
  void arma_fortran(arma_zheev)(char* jobz, char* uplo, blas_int* n,   void* a, blas_int* lda, double* w,   void* work, blas_int* lwork, double* rwork, blas_int* info);
  
  // eigenvector decomposition of symmetric real matrices by divide and conquer
  void arma_fortran(arma_ssyevd)(char* jobz, char* uplo, blas_int* n,  float* a, blas_int* lda,  float* w,  float* work, blas_int* lwork, blas_int* iwork, blas_int* liwork, blas_int* info);
  void arma_fortran(arma_dsyevd)(char* jobz, char* uplo, blas_int* n, double* a, blas_int* lda, double* w, double* work, blas_int* lwork, blas_int* iwork, blas_int* liwork, blas_int* info);
  
  // eigenvector decomposition of hermitian matrices (complex) by divide and conquer
  void arma_fortran(arma_cheevd)(char* jobz, char* uplo, blas_int* n,   void* a, blas_int* lda,  float* w,   void* work, blas_int* lwork,  float* rwork, blas_int* lrwork, blas_int* iwork, blas_int* liwork, blas_int* info);
  void arma_fortran(arma_zheevd)(char* jobz, char* uplo, blas_int* n,   void* a, blas_int* lda, double* w,   void* work, blas_int* lwork, double* rwork, blas_int* lrwork, blas_int* iwork, blas_int* liwork, blas_int* info);
  
  // eigenvector decomposition of general real matrices
  void arma_fortran(arma_sgeev)(char* jobvl, char* jobvr, blas_int* n,  float* a, blas_int* lda,  float* wr,  float* wi,  float* vl, blas_int* ldvl,  float* vr, blas_int* ldvr,  float* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dgeev)(char* jobvl, char* jobvr, blas_int* n, double* a, blas_int* lda, double* wr, double* wi, double* vl, blas_int* ldvl, double* vr, blas_int* ldvr, double* work, blas_int* lwork, blas_int* info);
  
  // eigenvector decomposition of general complex matrices
  void arma_fortran(arma_cgeev)(char* jobvl, char* jobvr, blas_int* n, void* a, blas_int* lda, void* w, void* vl, blas_int* ldvl, void* vr, blas_int* ldvr, void* work, blas_int* lwork,  float* rwork, blas_int* info);
  void arma_fortran(arma_zgeev)(char* jobvl, char* jobvr, blas_int* n, void* a, blas_int* lda, void* w, void* vl, blas_int* ldvl, void* vr, blas_int* ldvr, void* work, blas_int* lwork, double* rwork, blas_int* info);
  
  // Cholesky decomposition
  void arma_fortran(arma_spotrf)(char* uplo, blas_int* n,  float* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_dpotrf)(char* uplo, blas_int* n, double* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_cpotrf)(char* uplo, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_zpotrf)(char* uplo, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  
  // matrix inversion (using Cholesky decomposition result)
  void arma_fortran(arma_spotri)(char* uplo, blas_int* n,  float* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_dpotri)(char* uplo, blas_int* n, double* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_cpotri)(char* uplo, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  void arma_fortran(arma_zpotri)(char* uplo, blas_int* n,   void* a, blas_int* lda, blas_int* info);
  
  // QR decomposition
  void arma_fortran(arma_sgeqrf)(blas_int* m, blas_int* n,  float* a, blas_int* lda,  float* tau,  float* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dgeqrf)(blas_int* m, blas_int* n, double* a, blas_int* lda, double* tau, double* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_cgeqrf)(blas_int* m, blas_int* n,   void* a, blas_int* lda,   void* tau,   void* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_zgeqrf)(blas_int* m, blas_int* n,   void* a, blas_int* lda,   void* tau,   void* work, blas_int* lwork, blas_int* info);
  
  // Q matrix calculation from QR decomposition (real matrices)
  void arma_fortran(arma_sorgqr)(blas_int* m, blas_int* n, blas_int* k,  float* a, blas_int* lda,  float* tau,  float* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dorgqr)(blas_int* m, blas_int* n, blas_int* k, double* a, blas_int* lda, double* tau, double* work, blas_int* lwork, blas_int* info);
  
  // Q matrix calculation from QR decomposition (complex matrices)
  void arma_fortran(arma_cungqr)(blas_int* m, blas_int* n, blas_int* k,   void* a, blas_int* lda,   void* tau,   void* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_zungqr)(blas_int* m, blas_int* n, blas_int* k,   void* a, blas_int* lda,   void* tau,   void* work, blas_int* lwork, blas_int* info);
  
  // SVD (real matrices)
  void arma_fortran(arma_sgesvd)(char* jobu, char* jobvt, blas_int* m, blas_int* n, float*  a, blas_int* lda, float*  s, float*  u, blas_int* ldu, float*  vt, blas_int* ldvt, float*  work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dgesvd)(char* jobu, char* jobvt, blas_int* m, blas_int* n, double* a, blas_int* lda, double* s, double* u, blas_int* ldu, double* vt, blas_int* ldvt, double* work, blas_int* lwork, blas_int* info);
  
  // SVD (complex matrices)
  void arma_fortran(arma_cgesvd)(char* jobu, char* jobvt, blas_int* m, blas_int* n, void*   a, blas_int* lda, float*  s, void*   u, blas_int* ldu, void*   vt, blas_int* ldvt, void*   work, blas_int* lwork, float*  rwork, blas_int* info);
  void arma_fortran(arma_zgesvd)(char* jobu, char* jobvt, blas_int* m, blas_int* n, void*   a, blas_int* lda, double* s, void*   u, blas_int* ldu, void*   vt, blas_int* ldvt, void*   work, blas_int* lwork, double* rwork, blas_int* info);
  
  // SVD (real matrices) by divide and conquer
  void arma_fortran(arma_sgesdd)(char* jobz, blas_int* m, blas_int* n, float*  a, blas_int* lda, float*  s, float*  u, blas_int* ldu, float*  vt, blas_int* ldvt, float*  work, blas_int* lwork, blas_int* iwork, blas_int* info);
  void arma_fortran(arma_dgesdd)(char* jobz, blas_int* m, blas_int* n, double* a, blas_int* lda, double* s, double* u, blas_int* ldu, double* vt, blas_int* ldvt, double* work, blas_int* lwork, blas_int* iwork, blas_int* info);
  
  // SVD (complex matrices) by divide and conquer
  void arma_fortran(arma_cgesdd)(char* jobz, blas_int* m, blas_int* n, void* a, blas_int* lda, float*  s, void* u, blas_int* ldu, void* vt, blas_int* ldvt, void* work, blas_int* lwork, float*  rwork, blas_int* iwork, blas_int* info);
  void arma_fortran(arma_zgesdd)(char* jobz, blas_int* m, blas_int* n, void* a, blas_int* lda, double* s, void* u, blas_int* ldu, void* vt, blas_int* ldvt, void* work, blas_int* lwork, double* rwork, blas_int* iwork, blas_int* info);
  
  // solve system of linear equations, using LU decomposition
  void arma_fortran(arma_sgesv)(blas_int* n, blas_int* nrhs, float*  a, blas_int* lda, blas_int* ipiv, float*  b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_dgesv)(blas_int* n, blas_int* nrhs, double* a, blas_int* lda, blas_int* ipiv, double* b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_cgesv)(blas_int* n, blas_int* nrhs, void*   a, blas_int* lda, blas_int* ipiv, void*   b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_zgesv)(blas_int* n, blas_int* nrhs, void*   a, blas_int* lda, blas_int* ipiv, void*   b, blas_int* ldb, blas_int* info);
  
  // solve over/underdetermined system of linear equations
  void arma_fortran(arma_sgels)(char* trans, blas_int* m, blas_int* n, blas_int* nrhs, float*  a, blas_int* lda, float*  b, blas_int* ldb, float*  work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dgels)(char* trans, blas_int* m, blas_int* n, blas_int* nrhs, double* a, blas_int* lda, double* b, blas_int* ldb, double* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_cgels)(char* trans, blas_int* m, blas_int* n, blas_int* nrhs, void*   a, blas_int* lda, void*   b, blas_int* ldb, void*   work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_zgels)(char* trans, blas_int* m, blas_int* n, blas_int* nrhs, void*   a, blas_int* lda, void*   b, blas_int* ldb, void*   work, blas_int* lwork, blas_int* info);
  
  // solve a triangular system of linear equations
  void arma_fortran(arma_strtrs)(char* uplo, char* trans, char* diag, blas_int* n, blas_int* nrhs, const float*  a, blas_int* lda, float*  b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_dtrtrs)(char* uplo, char* trans, char* diag, blas_int* n, blas_int* nrhs, const double* a, blas_int* lda, double* b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_ctrtrs)(char* uplo, char* trans, char* diag, blas_int* n, blas_int* nrhs, const void*   a, blas_int* lda, void*   b, blas_int* ldb, blas_int* info);
  void arma_fortran(arma_ztrtrs)(char* uplo, char* trans, char* diag, blas_int* n, blas_int* nrhs, const void*   a, blas_int* lda, void*   b, blas_int* ldb, blas_int* info);
  
  // Schur decomposition (real matrices)
  void arma_fortran(arma_sgees)(char* jobvs, char* sort, blas_int* select, blas_int* n, float*  a, blas_int* lda, blas_int* sdim, float*  wr, float*  wi, float*  vs, blas_int* ldvs, float*  work, blas_int* lwork, blas_int* bwork, blas_int* info);
  void arma_fortran(arma_dgees)(char* jobvs, char* sort, blas_int* select, blas_int* n, double* a, blas_int* lda, blas_int* sdim, double* wr, double* wi, double* vs, blas_int* ldvs, double* work, blas_int* lwork, blas_int* bwork, blas_int* info);
  
  // Schur decomposition (complex matrices)
  void arma_fortran(arma_cgees)(char* jobvs, char* sort, blas_int* select, blas_int* n, void* a, blas_int* lda, blas_int* sdim, void* w, void* vs, blas_int* ldvs, void* work, blas_int* lwork, float*  rwork, blas_int* bwork, blas_int* info);
  void arma_fortran(arma_zgees)(char* jobvs, char* sort, blas_int* select, blas_int* n, void* a, blas_int* lda, blas_int* sdim, void* w, void* vs, blas_int* ldvs, void* work, blas_int* lwork, double* rwork, blas_int* bwork, blas_int* info);
  
  // solve a Sylvester equation ax + xb = c, with a and b assumed to be in Schur form
  void arma_fortran(arma_strsyl)(char* transa, char* transb, blas_int* isgn, blas_int* m, blas_int* n, const float*  a, blas_int* lda, const float*  b, blas_int* ldb, float*  c, blas_int* ldc, float*  scale, blas_int* info);
  void arma_fortran(arma_dtrsyl)(char* transa, char* transb, blas_int* isgn, blas_int* m, blas_int* n, const double* a, blas_int* lda, const double* b, blas_int* ldb, double* c, blas_int* ldc, double* scale, blas_int* info);
  void arma_fortran(arma_ctrsyl)(char* transa, char* transb, blas_int* isgn, blas_int* m, blas_int* n, const void*   a, blas_int* lda, const void*   b, blas_int* ldb, void*   c, blas_int* ldc, float*  scale, blas_int* info);
  void arma_fortran(arma_ztrsyl)(char* transa, char* transb, blas_int* isgn, blas_int* m, blas_int* n, const void*   a, blas_int* lda, const void*   b, blas_int* ldb, void*   c, blas_int* ldc, double* scale, blas_int* info);
  
  void arma_fortran(arma_ssytrf)(char* uplo, blas_int* n, float*  a, blas_int* lda, blas_int* ipiv, float*  work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_dsytrf)(char* uplo, blas_int* n, double* a, blas_int* lda, blas_int* ipiv, double* work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_csytrf)(char* uplo, blas_int* n, void*   a, blas_int* lda, blas_int* ipiv, void*   work, blas_int* lwork, blas_int* info);
  void arma_fortran(arma_zsytrf)(char* uplo, blas_int* n, void*   a, blas_int* lda, blas_int* ipiv, void*   work, blas_int* lwork, blas_int* info);
  
  void arma_fortran(arma_ssytri)(char* uplo, blas_int* n, float*  a, blas_int* lda, blas_int* ipiv, float*  work, blas_int* info);
  void arma_fortran(arma_dsytri)(char* uplo, blas_int* n, double* a, blas_int* lda, blas_int* ipiv, double* work, blas_int* info);
  void arma_fortran(arma_csytri)(char* uplo, blas_int* n, void*   a, blas_int* lda, blas_int* ipiv, void*   work, blas_int* info);
  void arma_fortran(arma_zsytri)(char* uplo, blas_int* n, void*   a, blas_int* lda, blas_int* ipiv, void*   work, blas_int* info);
  
  // void arma_fortran(arma_dgeqp3)(blas_int* m, blas_int* n, double* a, blas_int* lda, blas_int* jpvt, double* tau, double* work, blas_int* lwork, blas_int* info);
  // void arma_fortran(arma_dormqr)(char* side, char* trans, blas_int* m, blas_int* n, blas_int* k, double* a, blas_int* lda, double* tau, double* c, blas_int* ldc, double* work, blas_int* lwork, blas_int* info);
  // void  arma_fortran(arma_dposv)(char* uplo, blas_int* n, blas_int* nrhs, double* a, blas_int* lda, double* b, blas_int* ldb, blas_int* info);
  }


#endif