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Teuchos_LAPACK.hpp

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00001 // @HEADER
00002 // ***********************************************************************
00003 // 
00004 //                    Teuchos: Common Tools Package
00005 //                 Copyright (2004) Sandia Corporation
00006 // 
00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
00008 // license for use of this work by or on behalf of the U.S. Government.
00009 // 
00010 // This library is free software; you can redistribute it and/or modify
00011 // it under the terms of the GNU Lesser General Public License as
00012 // published by the Free Software Foundation; either version 2.1 of the
00013 // License, or (at your option) any later version.
00014 //  
00015 // This library is distributed in the hope that it will be useful, but
00016 // WITHOUT ANY WARRANTY; without even the implied warranty of
00017 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00018 // Lesser General Public License for more details.
00019 //  
00020 // You should have received a copy of the GNU Lesser General Public
00021 // License along with this library; if not, write to the Free Software
00022 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
00023 // USA
00024 // Questions? Contact Michael A. Heroux (maherou@sandia.gov) 
00025 // 
00026 // ***********************************************************************
00027 // @HEADER
00028 
00029 #ifndef _TEUCHOS_LAPACK_HPP_
00030 #define _TEUCHOS_LAPACK_HPP_
00031 
00039 /* for INTEL_CXML, the second arg may need to be changed to 'one'.  If so
00040 the appropriate declaration of one will need to be added back into
00041 functions that include the macro:
00042 */
00043 #if defined (INTEL_CXML)
00044         unsigned int one=1;
00045 #endif
00046 
00047 #ifdef CHAR_MACRO
00048 #undef CHAR_MACRO
00049 #endif
00050 #if defined (INTEL_CXML)
00051 #define CHAR_MACRO(char_var) &char_var, one
00052 #else
00053 #define CHAR_MACRO(char_var) &char_var
00054 #endif
00055 
00056 #include "Teuchos_ConfigDefs.hpp"
00057 #include "Teuchos_ScalarTraits.hpp"
00058 #include "Teuchos_LAPACK_wrappers.hpp"
00059 
00090 namespace Teuchos
00091 {
00092 
00093   template<class T>
00094   struct UndefinedLAPACKRoutine
00095   {
00096     // This function should not compile if there is an attempt to instantiate!
00097     static inline T notDefined() { return T::LAPACK_routine_not_defined_for_this_type(); };
00098   };
00099 
00100   template<typename OrdinalType, typename ScalarType>
00101   class LAPACK
00102   {    
00103   public:
00104 
00105     typedef typename Teuchos::ScalarTraits<ScalarType>::magnitudeType MagnitudeType;
00106 
00108 
00109 
00111     inline LAPACK(void) {};
00112 
00114     inline LAPACK(const LAPACK<OrdinalType, ScalarType>& lapack) {};
00115 
00117     inline virtual ~LAPACK(void) {};
00119 
00121 
00122 
00124     void PTTRF(const OrdinalType n, ScalarType* d, ScalarType* e, OrdinalType* info) const;
00125 
00127     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00128 
00130     void POTRF(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const;
00131 
00133     void POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00134 
00136     void POTRI(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const;
00137 
00139 
00140     void POCON(const char UPLO, const OrdinalType n, const ScalarType* A, const OrdinalType lda, const ScalarType anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00141 
00143     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00144 
00146     void POEQU(const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* S, ScalarType* scond, ScalarType* amax, OrdinalType* info) const;
00147 
00149     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, const ScalarType* AF, const OrdinalType ldaf, const ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00150 
00152     void POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* AF, const OrdinalType ldaf, char EQUED, ScalarType* S, ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00154 
00156 
00157 
00159     void GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00160 
00162     void GEQRF( const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00163 
00165     void GETRF(const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
00166 
00168     void GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00169 
00171     void GTTRF(const OrdinalType n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const;
00172 
00174     void GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00175 
00177     void GETRI(const OrdinalType n, ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00178 
00180     void GECON(const char NORM, const OrdinalType n, const ScalarType* A, const OrdinalType lda, const ScalarType anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00181 
00183     void GESV(const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const;
00184 
00186     void GEEQU(const OrdinalType m, const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const;
00187 
00189     void GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, const ScalarType* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00190 
00192     void GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00193 
00197     void SYTRD(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00198 
00200     void GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00201 
00203     void TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const; 
00204     
00206 
00208 
00209 
00212     void SPEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const;
00213 
00217     void SYEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* W, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00218 
00222     void SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, ScalarType* W, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00223 
00227     void HEEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType lwork, MagnitudeType* RWORK, OrdinalType* info) const;
00228 
00232     void HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType lwork, MagnitudeType *RWORK, OrdinalType* info) const;
00233 
00235     void STEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const;
00237 
00239 
00240 
00241     void HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* H, const OrdinalType ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00242     
00246     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const;    
00247 
00251     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(ScalarType*), const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
00252 
00256     void GEES(const char JOBVS, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
00257 
00259     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00261 
00263 
00264 
00267     void ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* C, const OrdinalType ldc, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00268 
00272     void ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00273 
00277     void UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00278 
00282     void ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00283 
00287     void ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* C, const OrdinalType ldc, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const;
00289 
00291 
00292 
00296     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const;
00297 
00301     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(ScalarType*), const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const;
00302 
00306     void TREVC(const char SIDE, const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const;
00307 
00311     void TREXC(const char COMPQ, const OrdinalType n, ScalarType* T, const OrdinalType ldt, ScalarType* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, ScalarType* WORK, OrdinalType* info) const;
00312 
00314 
00316 
00317 
00319     void LARTG( const ScalarType f, const ScalarType g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const;
00320 
00322     void LARFG( const OrdinalType n, ScalarType* alpha, ScalarType* x, const OrdinalType incx, ScalarType* tau ) const;
00323 
00325 
00327 
00328 
00329     ScalarType LARND( const OrdinalType idist, OrdinalType* seed ) const;
00330 
00332     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, ScalarType* v ) const;    
00334 
00336 
00337 
00340     ScalarType LAMCH(const char CMACH) const;
00341 
00346     OrdinalType ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1 = -1, const OrdinalType N2 = -1, const OrdinalType N3 = -1, const OrdinalType N4 = -1 ) const;
00348 
00350 
00351 
00354     ScalarType LAPY2(const ScalarType x, const ScalarType y) const;
00356   };
00357 
00358   // END GENERAL TEMPLATE DECLARATION //
00359 
00360   // BEGIN GENERAL TEMPLATE IMPLEMENTATION //
00361 
00362 
00363   template<typename OrdinalType, typename ScalarType>
00364   void LAPACK<OrdinalType, ScalarType>::PTTRF(const OrdinalType n, ScalarType* d, ScalarType* e, OrdinalType* info) const
00365   {
00366     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00367   }
00368   
00369   template<typename OrdinalType, typename ScalarType>
00370   void LAPACK<OrdinalType, ScalarType>::PTTRS(const OrdinalType n, const OrdinalType nrhs, const ScalarType* d, const ScalarType* e, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00371   {
00372     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00373   }
00374   
00375   template<typename OrdinalType, typename ScalarType>
00376   void LAPACK<OrdinalType, ScalarType>::POTRF(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const
00377   {
00378     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00379   }
00380   
00381   template<typename OrdinalType, typename ScalarType>
00382   void LAPACK<OrdinalType, ScalarType>::POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00383   {
00384     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00385   }
00386   
00387   template<typename OrdinalType, typename ScalarType>
00388   void LAPACK<OrdinalType, ScalarType>::POTRI(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* info) const
00389   {
00390     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00391   }
00392   
00393   template<typename OrdinalType, typename ScalarType>
00394   void LAPACK<OrdinalType, ScalarType>::POCON(const char UPLO, const OrdinalType n, const ScalarType* A, const OrdinalType lda, const ScalarType anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00395   {
00396     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00397   }  
00398 
00399   template<typename OrdinalType, typename ScalarType>
00400   void LAPACK<OrdinalType, ScalarType>::POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00401   {
00402     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00403   }
00404   
00405   template<typename OrdinalType, typename ScalarType>
00406   void LAPACK<OrdinalType, ScalarType>::POEQU(const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* S, ScalarType* scond, ScalarType* amax, OrdinalType* info) const
00407   {
00408     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00409   }
00410   
00411   template<typename OrdinalType, typename ScalarType>
00412   void LAPACK<OrdinalType, ScalarType>::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, const ScalarType* AF, const OrdinalType ldaf, const ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00413   {
00414     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00415   }
00416   
00417   template<typename OrdinalType, typename ScalarType>
00418   void LAPACK<OrdinalType, ScalarType>::POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* AF, const OrdinalType ldaf, char EQUED, ScalarType* S, ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00419   {
00420     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00421   }
00422 
00423   template<typename OrdinalType, typename ScalarType>
00424   void LAPACK<OrdinalType,ScalarType>::GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00425   {
00426     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00427   }
00428 
00429   template<typename OrdinalType, typename ScalarType>  
00430   void LAPACK<OrdinalType,ScalarType>::GEQRF( const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00431   {
00432     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00433   }
00434 
00435   template<typename OrdinalType, typename ScalarType>
00436   void LAPACK<OrdinalType,ScalarType>::GETRF(const OrdinalType m, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
00437   {
00438     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00439   }
00440   
00441   template<typename OrdinalType, typename ScalarType>
00442   void LAPACK<OrdinalType,ScalarType>::GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00443   {
00444     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00445   }
00446 
00447   template<typename OrdinalType, typename ScalarType>
00448   void LAPACK<OrdinalType,ScalarType>::GTTRF(const OrdinalType n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const
00449   {
00450     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00451   }
00452 
00453   template<typename OrdinalType, typename ScalarType>
00454   void LAPACK<OrdinalType,ScalarType>::GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00455   {
00456     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00457   }
00458   
00459   template<typename OrdinalType, typename ScalarType>
00460   void LAPACK<OrdinalType,ScalarType>::GETRI(const OrdinalType n, ScalarType* A, const OrdinalType lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00461   {
00462     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00463   }
00464   
00465   template<typename OrdinalType, typename ScalarType>
00466   void LAPACK<OrdinalType,ScalarType>::GECON(const char NORM, const OrdinalType n, const ScalarType* A, const OrdinalType lda, const ScalarType anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00467   {
00468     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00469   }
00470   
00471   template<typename OrdinalType, typename ScalarType>
00472   void LAPACK<OrdinalType,ScalarType>::GESV(const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const
00473   {
00474     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00475   }
00476   
00477   template<typename OrdinalType, typename ScalarType>
00478   void LAPACK<OrdinalType,ScalarType>::GEEQU(const OrdinalType m, const OrdinalType n, const ScalarType* A, const OrdinalType lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const
00479   {
00480     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00481   }
00482   
00483   template<typename OrdinalType, typename ScalarType>
00484   void LAPACK<OrdinalType,ScalarType>::GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, const ScalarType* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00485   {
00486     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00487   }
00488   
00489   template<typename OrdinalType, typename ScalarType>
00490   void LAPACK<OrdinalType,ScalarType>::GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, ScalarType* A, const OrdinalType lda, ScalarType* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType ldb, ScalarType* X, const OrdinalType ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
00491   {
00492     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00493   }
00494   
00495   template<typename OrdinalType, typename ScalarType>
00496   void LAPACK<OrdinalType,ScalarType>::SYTRD(const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00497   {
00498     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00499   }
00500 
00501   template<typename OrdinalType, typename ScalarType>
00502   void LAPACK<OrdinalType,ScalarType>::GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* A, const OrdinalType lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00503   {
00504     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00505   }
00506   
00507   template<typename OrdinalType, typename ScalarType>
00508   void LAPACK<OrdinalType,ScalarType>::TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, OrdinalType* info) const 
00509   {
00510     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00511   }
00512   
00513   template<typename OrdinalType, typename ScalarType>
00514   void LAPACK<OrdinalType,ScalarType>::SPEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const
00515   {
00516     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00517   }
00518 
00519   template<typename OrdinalType, typename ScalarType>
00520   void LAPACK<OrdinalType,ScalarType>::SYEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* W, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00521   {
00522     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00523   }
00524 
00525   template<typename OrdinalType, typename ScalarType>
00526   void LAPACK<OrdinalType,ScalarType>::SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, ScalarType* W, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00527   {
00528     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00529   }
00530 
00531   template<typename OrdinalType, typename ScalarType>
00532   void LAPACK<OrdinalType,ScalarType>::HEEV(const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType lwork, MagnitudeType* RWORK, OrdinalType* info) const
00533   {
00534     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00535   }
00536 
00537   template<typename OrdinalType, typename ScalarType>
00538   void LAPACK<OrdinalType,ScalarType>::HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* B, const OrdinalType ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType lwork, MagnitudeType* RWORK, OrdinalType* info) const
00539   {
00540     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00541   }
00542 
00543   template<typename OrdinalType, typename ScalarType>
00544   void LAPACK<OrdinalType,ScalarType>::STEQR(const char COMPZ, const OrdinalType n, ScalarType* D, ScalarType* E, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, OrdinalType* info) const
00545   {
00546     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00547   }
00548 
00549   template<typename OrdinalType, typename ScalarType>
00550   void LAPACK<OrdinalType, ScalarType>::HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* H, const OrdinalType ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType ldz, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00551   {
00552     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00553   }
00554   
00555   template<typename OrdinalType, typename ScalarType>
00556   void LAPACK<OrdinalType, ScalarType>::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const    
00557   {
00558     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00559   }
00560 
00561   template<typename OrdinalType, typename ScalarType>
00562   void LAPACK<OrdinalType, ScalarType>::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(ScalarType*), const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const    
00563   {
00564     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00565   }
00566 
00567   template<typename OrdinalType, typename ScalarType>
00568   void LAPACK<OrdinalType, ScalarType>::GEES(const char JOBVS, const OrdinalType n, ScalarType* A, const OrdinalType lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType ldvs, ScalarType* WORK, const OrdinalType lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const    
00569   {
00570     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00571   }
00572 
00573   template<typename OrdinalType, typename ScalarType>
00574   void LAPACK<OrdinalType, ScalarType>::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, ScalarType* A, const OrdinalType lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00575   {
00576     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00577   }
00578 
00579   template<typename OrdinalType, typename ScalarType>
00580   void LAPACK<OrdinalType, ScalarType>::ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* C, const OrdinalType ldc, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00581   {
00582     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00583   }
00584 
00585   template<typename OrdinalType, typename ScalarType>
00586   void LAPACK<OrdinalType, ScalarType>::ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00587   {
00588     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00589   }
00590   
00591   template<typename OrdinalType, typename ScalarType>
00592   void LAPACK<OrdinalType, ScalarType>::UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00593   {
00594     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00595   }
00596   
00597   template<typename OrdinalType, typename ScalarType>
00598   void LAPACK<OrdinalType, ScalarType>::ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00599   {
00600     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00601   }
00602   
00603   template<typename OrdinalType, typename ScalarType>
00604   void LAPACK<OrdinalType, ScalarType>::ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const ScalarType* A, const OrdinalType lda, const ScalarType* TAU, ScalarType* C, const OrdinalType ldc, ScalarType* WORK, const OrdinalType lwork, OrdinalType* info) const
00605   {
00606     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00607   }
00608   
00609   template<typename OrdinalType, typename ScalarType>
00610   void LAPACK<OrdinalType, ScalarType>::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const
00611   {
00612     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00613   }
00614   
00615   template<typename OrdinalType, typename ScalarType>
00616   void LAPACK<OrdinalType, ScalarType>::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(ScalarType*), const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const
00617   {
00618     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00619   }
00620   
00621   template<typename OrdinalType, typename ScalarType>
00622   void LAPACK<OrdinalType, ScalarType>::TREVC(const char SIDE, const OrdinalType n, const ScalarType* T, const OrdinalType ldt, ScalarType* VL, const OrdinalType ldvl, ScalarType* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const
00623   {
00624     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00625   }
00626   
00627   template<typename OrdinalType, typename ScalarType>
00628   void LAPACK<OrdinalType, ScalarType>::TREXC(const char COMPQ, const OrdinalType n, ScalarType* T, const OrdinalType ldt, ScalarType* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, ScalarType* WORK, OrdinalType* info) const
00629   {
00630     UndefinedLAPACKRoutine<ScalarType>::notDefined();
00631   }
00632 
00633   template<typename OrdinalType, typename ScalarType>
00634   ScalarType LAPACK<OrdinalType, ScalarType>::LAMCH(const char CMACH) const
00635   {
00636     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00637   }
00638 
00639   template<typename OrdinalType, typename ScalarType>
00640   OrdinalType LAPACK<OrdinalType, ScalarType>::ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1, const OrdinalType N2, const OrdinalType N3, const OrdinalType N4 ) const
00641   {
00642     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00643   }
00644  
00645   template<typename OrdinalType, typename ScalarType>
00646   ScalarType LAPACK<OrdinalType, ScalarType>::LAPY2(const ScalarType x, const ScalarType y) const
00647   {
00648     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00649   }
00650 
00651   template<typename OrdinalType, typename ScalarType>
00652   void LAPACK<OrdinalType, ScalarType>::LARTG( const ScalarType f, const ScalarType g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const
00653   {
00654     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00655   }
00656 
00657   template<typename OrdinalType, typename ScalarType>
00658   void LAPACK<OrdinalType, ScalarType>::LARFG( const OrdinalType n, ScalarType* alpha, ScalarType* x, const OrdinalType incx, ScalarType* tau ) const
00659   {
00660     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00661   }
00662 
00663   template<typename OrdinalType, typename ScalarType>
00664   ScalarType LAPACK<OrdinalType, ScalarType>::LARND( const OrdinalType idist, OrdinalType* seed ) const
00665   {
00666     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00667   }
00668 
00669   template<typename OrdinalType, typename ScalarType>
00670   void LAPACK<OrdinalType, ScalarType>::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, ScalarType* v ) const    
00671   {
00672     return UndefinedLAPACKRoutine<ScalarType>::notDefined();
00673   }
00674 
00675   // END GENERAL TEMPLATE IMPLEMENTATION //
00676 
00677 #ifndef DOXYGEN_SHOULD_SKIP_THIS
00678 
00679   // BEGIN FLOAT PARTIAL SPECIALIZATION DECLARATION //
00680 
00681   template<typename OrdinalType>
00682   class LAPACK<OrdinalType, float>
00683   {    
00684   public:
00685     inline LAPACK(void) {};
00686     inline LAPACK(const LAPACK<OrdinalType, float>& lapack) {};
00687     inline virtual ~LAPACK(void) {};
00688 
00689     // Symmetric positive definite linear system routines
00690     void POTRF(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* info) const;
00691     void POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const;
00692     void PTTRF(const OrdinalType n, float* d, float* e, OrdinalType* info) const;
00693     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const float* d, const float* e, float* B, const OrdinalType ldb, OrdinalType* info) const;
00694     void POTRI(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* info) const;
00695     void POCON(const char UPLO, const OrdinalType n, const float* A, const OrdinalType lda, const float anorm, float* rcond, float* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00696     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const;
00697     void POEQU(const OrdinalType n, const float* A, const OrdinalType lda, float* S, float* scond, float* amax, OrdinalType* info) const;
00698     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, const float* AF, const OrdinalType ldaf, const float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00699     void POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* AF, const OrdinalType ldaf, char EQUED, float* S, float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const; 
00700 
00701     // General Linear System Routines
00702     void GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00703     void GEQRF( const OrdinalType m, const OrdinalType n, float* A, const OrdinalType lda, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00704     void GETRF(const OrdinalType m, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
00705     void GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, const OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const;
00706     void GTTRF(const OrdinalType n, float* dl, float* d, float* du, float* du2, OrdinalType* IPIV, OrdinalType* info) const;
00707     void GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* dl, const float* d, const float* du, const float* du2, const OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const;
00708 
00709 
00710     void GETRI(const OrdinalType n, float* A, const OrdinalType lda, const OrdinalType* IPIV, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00711     void GECON(const char NORM, const OrdinalType n, const float* A, const OrdinalType lda, const float anorm, float* rcond, float* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00712     void GESV(const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const;
00713     void GEEQU(const OrdinalType m, const OrdinalType n, const float* A, const OrdinalType lda, float* R, float* C, float* rowcond, float* colcond, float* amax, OrdinalType* info) const;
00714     void GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, const float* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00715     void GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, float* R, float* C, float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const;
00716     void SYTRD(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* D, float* E, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00717     void GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* A, const OrdinalType lda, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00718     void TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const; 
00719 
00720     // Symmetric eigenvalue routines.
00721     void SPEV(const char JOBZ, const char UPLO, const OrdinalType n, float* AP, float* W, float* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const;
00722     void SYEV(const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* W, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00723     void SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* W, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00724     void HEEV(const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* W, float* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const;
00725     void HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* W, float* WORK, const OrdinalType lwork, float *RWORK, OrdinalType* info) const;
00726     void STEQR(const char COMPZ, const OrdinalType n, float* D, float* E, float* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const;
00727 
00728     // Hessenberg eigenvalue routines.
00729     void HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* H, const OrdinalType ldh, float* WR, float* WI, float* Z, const OrdinalType ldz, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00730     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(float*, float*), const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, float* VS, const OrdinalType ldvs, float* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const;    
00731     void GEES(const char JOBVS, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, float* VS, const OrdinalType ldvs, float* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
00732     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, float* A, const OrdinalType lda, float* WR, float* WI, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00733 
00734     // Orthogonal matrix routines.
00735     void ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* C, const OrdinalType ldc, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00736     void ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00737     void UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00738     void ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00739     void ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const float* A, const OrdinalType lda, const float* TAU, float* C, const OrdinalType ldc, float* WORK, const OrdinalType lwork, OrdinalType* info) const;
00740 
00741     // Triangular matrix routines.
00742     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(float*, float*), const OrdinalType n, const float* T, const OrdinalType ldt, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, float* WORK, OrdinalType* info) const;
00743     void TREVC(const char SIDE, const OrdinalType n, const float* T, const OrdinalType ldt, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, float* WORK, float *RWORK, OrdinalType* info) const;
00744     void TREXC(const char COMPQ, const OrdinalType n, float* T, const OrdinalType ldt, float* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, float* WORK, OrdinalType* info) const;
00745 
00746     // Rotation/reflection generators
00747     void LARTG( const float f, const float g, float* c, float* s, float* r ) const;
00748     void LARFG( const OrdinalType n, float* alpha, float* x, const OrdinalType incx, float* tau ) const;
00749 
00750     // Random number generators
00751     float LARND( const OrdinalType idist, OrdinalType* seed ) const;
00752     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, float* v ) const;    
00753 
00754     // Machine characteristics.
00755     float LAMCH(const char CMACH) const;
00756     OrdinalType ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1 = -1, const OrdinalType N2 = -1, const OrdinalType N3 = -1, const OrdinalType N4 = -1 ) const;
00757 
00758 
00759     // Miscellaneous routines.
00760     float LAPY2(const float x, const float y) const;
00761   };
00762 
00763   // END FLOAT PARTIAL SPECIALIZATION DECLARATION //
00764 
00765   // BEGIN FLOAT PARTIAL SPECIALIZATION IMPLEMENTATION //
00766 
00767   template<typename OrdinalType>
00768   void LAPACK<OrdinalType, float>::PTTRF(const OrdinalType n, float* d, float* e, OrdinalType* info) const
00769   {
00770     SPTTRF_F77(&n,d,e,info);
00771   }
00772   
00773   template<typename OrdinalType>
00774   void LAPACK<OrdinalType, float>::PTTRS(const OrdinalType n, const OrdinalType nrhs, const float* d, const float* e, float* B, const OrdinalType ldb, OrdinalType* info) const
00775   {
00776     SPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
00777   }
00778   
00779   template<typename OrdinalType>
00780   void LAPACK<OrdinalType, float>::POTRF(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* info) const
00781   {
00782     SPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
00783   }
00784   
00785   template<typename OrdinalType>
00786   void LAPACK<OrdinalType, float>::POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const
00787   {
00788     SPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
00789   }
00790   
00791   template<typename OrdinalType>
00792   void LAPACK<OrdinalType, float>::POTRI(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* info) const
00793   {
00794     SPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
00795   }
00796   
00797   template<typename OrdinalType>
00798   void LAPACK<OrdinalType, float>::POCON(const char UPLO, const OrdinalType n, const float* A, const OrdinalType lda, const float anorm, float* rcond, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00799   {
00800     SPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, IWORK, info);
00801   }
00802   
00803   template<typename OrdinalType>
00804   void LAPACK<OrdinalType, float>::POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const
00805   {
00806     SPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
00807   }
00808   
00809   template<typename OrdinalType>
00810   void LAPACK<OrdinalType, float>::POEQU(const OrdinalType n, const float* A, const OrdinalType lda, float* S, float* scond, float* amax, OrdinalType* info) const
00811   {
00812     SPOEQU_F77(&n, A, &lda, S, scond, amax, info);
00813   }
00814   
00815   template<typename OrdinalType>
00816   void LAPACK<OrdinalType, float>::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, const float* AF, const OrdinalType ldaf, const float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00817   {
00818     SPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info);
00819   }
00820   
00821   template<typename OrdinalType>
00822   void LAPACK<OrdinalType, float>::POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* AF, const OrdinalType ldaf, char EQUED, float* S, float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00823   {
00824     SPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
00825   }
00826   
00827   template<typename OrdinalType>
00828   void LAPACK<OrdinalType,float>::GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00829   {
00830     SGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info);
00831   }
00832   
00833   template<typename OrdinalType>  
00834   void LAPACK<OrdinalType,float>::GEQRF( const OrdinalType m, const OrdinalType n, float* A, const OrdinalType lda, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00835   {
00836     SGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
00837   }
00838 
00839   template<typename OrdinalType>
00840   void LAPACK<OrdinalType,float>::GETRF(const OrdinalType m, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
00841   {
00842     SGETRF_F77(&m, &n, A, &lda, IPIV, info);
00843   }
00844   
00845   template<typename OrdinalType>
00846   void LAPACK<OrdinalType,float>::GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, const OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const
00847   {
00848     SGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
00849   }
00850 
00851   template<typename OrdinalType>
00852   void LAPACK<OrdinalType,float>::GTTRF(const OrdinalType n, float* dl, float* d, float* du, float* du2, OrdinalType* IPIV, OrdinalType* info) const
00853   {
00854     SGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
00855   }
00856 
00857   template<typename OrdinalType>
00858   void LAPACK<OrdinalType,float>::GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* dl, const float* d, const float* du, const float* du2, const OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const
00859   {
00860     SGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
00861   }
00862   
00863   template<typename OrdinalType>
00864   void LAPACK<OrdinalType,float>::GETRI(const OrdinalType n, float* A, const OrdinalType lda, const OrdinalType* IPIV, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00865   {
00866     SGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
00867   }
00868   
00869   template<typename OrdinalType>
00870   void LAPACK<OrdinalType,float>::GECON(const char NORM, const OrdinalType n, const float* A, const OrdinalType lda, const float anorm, float* rcond, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00871   {
00872     SGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, IWORK, info);
00873   }
00874   
00875   template<typename OrdinalType>
00876   void LAPACK<OrdinalType,float>::GESV(const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, OrdinalType* IPIV, float* B, const OrdinalType ldb, OrdinalType* info) const
00877   {
00878     SGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
00879   }
00880   
00881   template<typename OrdinalType>
00882   void LAPACK<OrdinalType,float>::GEEQU(const OrdinalType m, const OrdinalType n, const float* A, const OrdinalType lda, float* R, float* C, float* rowcond, float* colcond, float* amax, OrdinalType* info) const
00883   {
00884     SGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
00885   }
00886   
00887   template<typename OrdinalType>
00888   void LAPACK<OrdinalType,float>::GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, const float* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00889   {
00890     SGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info);
00891   }
00892   
00893   template<typename OrdinalType>
00894   void LAPACK<OrdinalType,float>::GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, float* A, const OrdinalType lda, float* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, float* R, float* C, float* B, const OrdinalType ldb, float* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, float* WORK, OrdinalType* IWORK, OrdinalType* info) const
00895   {
00896     SGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
00897   }
00898   
00899   template<typename OrdinalType>
00900   void LAPACK<OrdinalType,float>::SYTRD(const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* D, float* E, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00901   {
00902     SSYTRD_F77(CHAR_MACRO(UPLO), &n, A, &lda, D, E, TAU, WORK, &lwork, info);
00903   }
00904 
00905   template<typename OrdinalType>
00906   void LAPACK<OrdinalType,float>::GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* A, const OrdinalType lda, float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00907   {
00908     SGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
00909   }
00910   
00911   template<typename OrdinalType>
00912   void LAPACK<OrdinalType,float>::TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const float* A, const OrdinalType lda, float* B, const OrdinalType ldb, OrdinalType* info) const 
00913   {
00914     STRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
00915   }
00916   
00917   template<typename OrdinalType>
00918   void LAPACK<OrdinalType,float>::SPEV(const char JOBZ, const char UPLO, const OrdinalType n, float* AP, float* W, float* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const
00919   {
00920     SSPEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, AP, W, Z, &ldz, WORK, info);
00921   }
00922 
00923   template<typename OrdinalType>
00924   void LAPACK<OrdinalType,float>::SYEV(const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* W, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00925   {
00926     SSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
00927   }
00928 
00929   template<typename OrdinalType>
00930   void LAPACK<OrdinalType,float>::SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* W, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00931   {
00932     SSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
00933   }
00934 
00935   template<typename OrdinalType>
00936   void LAPACK<OrdinalType,float>::HEEV(const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* W, float* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const
00937   {
00938     SSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
00939   }
00940 
00941   template<typename OrdinalType>
00942   void LAPACK<OrdinalType,float>::HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, float* A, const OrdinalType lda, float* B, const OrdinalType ldb, float* W, float* WORK, const OrdinalType lwork, float *RWORK, OrdinalType* info) const
00943   {
00944     SSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
00945   }
00946 
00947   template<typename OrdinalType>
00948   void LAPACK<OrdinalType,float>::STEQR(const char COMPZ, const OrdinalType n, float* D, float* E, float* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const
00949   {
00950     SSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
00951   }
00952 
00953   template<typename OrdinalType>
00954   void LAPACK<OrdinalType, float>::HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* H, const OrdinalType ldh, float* WR, float* WI, float* Z, const OrdinalType ldz, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00955   {
00956     SHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, WR, WI, Z, &ldz, WORK, &lwork, info);
00957   }
00958 
00959   template<typename OrdinalType>
00960   void LAPACK<OrdinalType, float>::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(float*, float*), const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, float* VS, const OrdinalType ldvs, float* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const    
00961   {
00962     SGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
00963   }
00964 
00965   template<typename OrdinalType>
00966   void LAPACK<OrdinalType, float>::GEES(const char JOBVS, const OrdinalType n, float* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, float* VS, const OrdinalType ldvs, float* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
00967   {
00968     OrdinalType (*nullfptr)(float*,float*) = NULL;
00969     const char sort = 'N';
00970     SGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
00971   }
00972 
00973   template<typename OrdinalType>
00974   void LAPACK<OrdinalType, float>::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, float* A, const OrdinalType lda, float* WR, float* WI, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00975   {
00976     SGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, WORK, &lwork, info);
00977   }
00978 
00979   template<typename OrdinalType>
00980   void LAPACK<OrdinalType, float>::ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* C, const OrdinalType ldc, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00981   {
00982     SORMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
00983   }
00984 
00985   template<typename OrdinalType>
00986   void LAPACK<OrdinalType, float>::ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00987   {
00988     SORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
00989   }
00990   
00991   template<typename OrdinalType>
00992   void LAPACK<OrdinalType, float>::UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00993   {
00994     SORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
00995   }
00996   
00997   template<typename OrdinalType>
00998   void LAPACK<OrdinalType, float>::ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, float* A, const OrdinalType lda, const float* TAU, float* WORK, const OrdinalType lwork, OrdinalType* info) const
00999   {
01000     SORGHR_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
01001   }
01002   
01003   template<typename OrdinalType>
01004   void LAPACK<OrdinalType, float>::ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const float* A, const OrdinalType lda, const float* TAU, float* C, const OrdinalType ldc, float* WORK, const OrdinalType lwork, OrdinalType* info) const
01005   {
01006     SORMHR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &ilo, &ihi, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
01007   }
01008   
01009   template<typename OrdinalType>
01010   void LAPACK<OrdinalType, float>::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(float*,float*), const OrdinalType n, const float* T, const OrdinalType ldt, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, float* WORK, OrdinalType* info) const
01011   {
01012     STREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), ptr2func, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
01013   }
01014   
01015   template<typename OrdinalType>
01016   void LAPACK<OrdinalType, float>::TREVC(const char SIDE, const OrdinalType n, const float* T, const OrdinalType ldt, float* VL, const OrdinalType ldvl, float* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, float* WORK, float* RWORK, OrdinalType* info) const
01017   {
01018     OrdinalType (*nullfptr)(float*,float*) = NULL;
01019     const char whch = 'A';
01020     STREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), nullfptr, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
01021   }
01022   
01023   template<typename OrdinalType>
01024   void LAPACK<OrdinalType, float>::TREXC(const char COMPQ, const OrdinalType n, float* T, const OrdinalType ldt, float* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, float* WORK, OrdinalType* info) const
01025   {
01026     STREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, WORK, info);
01027   }
01028 
01029   template<typename OrdinalType>
01030   void LAPACK<OrdinalType, float>::LARTG( const float f, const float g, float* c, float* s, float* r ) const
01031   {
01032     SLARTG_F77(&f, &g, c, s, r);
01033   }
01034 
01035   template<typename OrdinalType>
01036   void LAPACK<OrdinalType, float>::LARFG( const OrdinalType n, float* alpha, float* x, const OrdinalType incx, float* tau ) const
01037   {
01038     SLARFG_F77(&n, alpha, x, &incx, tau);
01039   }
01040 
01041   template<typename OrdinalType>
01042   float LAPACK<OrdinalType, float>::LARND( const OrdinalType idist, OrdinalType* seed ) const
01043   {
01044     return(SLARND_F77(&idist, seed));
01045   }
01046 
01047   template<typename OrdinalType>
01048   void LAPACK<OrdinalType, float>::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, float* v ) const
01049   {
01050     SLARNV_F77(&idist, seed, &n, v);
01051   }
01052 
01053   template<typename OrdinalType>
01054   float LAPACK<OrdinalType, float>::LAMCH(const char CMACH) const
01055   {
01056     return(SLAMCH_F77(CHAR_MACRO(CMACH)));
01057   }
01058 
01059   template<typename OrdinalType>
01060   OrdinalType LAPACK<OrdinalType, float>::ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1, const OrdinalType N2, const OrdinalType N3, const OrdinalType N4 ) const
01061   {
01062     unsigned int opts_length = OPTS.length();
01063     // if user queries a Hermitian routine, change it to a symmetric routine
01064     std::string temp_NAME = "s" + NAME;
01065     if (temp_NAME.substr(1,2) == "he") {
01066       temp_NAME.replace(1,2,"sy");
01067     }
01068     unsigned int name_length = temp_NAME.length();
01069 #if defined (INTEL_CXML)
01070     return ILAENV_F77(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4 );
01071 #else
01072     return ILAENV_F77(&ispec, &temp_NAME[0], &OPTS[0], &N1, &N2, &N3, &N4, name_length, opts_length );
01073 #endif
01074   }
01075  
01076   template<typename OrdinalType>
01077   float LAPACK<OrdinalType, float>::LAPY2(const float x, const float y) const
01078   {
01079     return SLAPY2_F77(&x, &y);
01080   }
01081 
01082   // END FLOAT PARTIAL SPECIALIZATION IMPLEMENTATION //
01083 
01084   // BEGIN DOUBLE PARTIAL SPECIALIZATION DECLARATION //
01085 
01086   template<typename OrdinalType>
01087   class LAPACK<OrdinalType, double>
01088   {    
01089   public:
01090     inline LAPACK(void) {};
01091     inline LAPACK(const LAPACK<OrdinalType, double>& lapack) {};
01092     inline virtual ~LAPACK(void) {};
01093 
01094     // Symmetric positive definite linear system routines
01095     void PTTRF(const OrdinalType n, double* d, double* e, OrdinalType* info) const;
01096     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const double* d, const double* e, double* B, const OrdinalType ldb, OrdinalType* info) const;
01097     void POTRF(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* info) const;
01098     void POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const;
01099     void POTRI(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* info) const;
01100     void POCON(const char UPLO, const OrdinalType n, const double* A, const OrdinalType lda, const double anorm, double* rcond, double* WORK, OrdinalType* IWORK, OrdinalType* info) const;
01101     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const;
01102     void POEQU(const OrdinalType n, const double* A, const OrdinalType lda, double* S, double* scond, double* amax, OrdinalType* info) const;
01103     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, const double* AF, const OrdinalType ldaf, const double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const;
01104     void POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* AF, const OrdinalType ldaf, char EQUED, double* S, double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const; 
01105 
01106     // General linear system routines
01107     void GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01108     void GEQRF( const OrdinalType m, const OrdinalType n, double* A, const OrdinalType lda, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01109     void GETRF(const OrdinalType m, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
01110     void GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, const OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const;
01111     void GTTRF(const OrdinalType n, double* dl, double* d, double* du, double* du2, OrdinalType* IPIV, OrdinalType* info) const;
01112     void GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* dl, const double* d, const double* du, const double* du2, const OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const;
01113     void GETRI(const OrdinalType n, double* A, const OrdinalType lda, const OrdinalType* IPIV, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01114     void GECON(const char NORM, const OrdinalType n, const double* A, const OrdinalType lda, const double anorm, double* rcond, double* WORK, OrdinalType* IWORK, OrdinalType* info) const;
01115     void GESV(const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const;
01116     void GEEQU(const OrdinalType m, const OrdinalType n, const double* A, const OrdinalType lda, double* R, double* C, double* rowcond, double* colcond, double* amax, OrdinalType* info) const;
01117     void GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, const double* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const;
01118     void GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, double* R, double* C, double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const;
01119     void SYTRD(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* D, double* E, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01120     void GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* A, const OrdinalType lda, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01121     void TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const; 
01122 
01123     // Symmetric eigenproblem routines.
01124     void SPEV(const char JOBZ, const char UPLO, const OrdinalType n, double* AP, double* W, double* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const;
01125     void SYEV(const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* W, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01126     void SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* W, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01127     void HEEV(const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* W, double* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const;
01128     void HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* W, double* WORK, const OrdinalType lwork, double *RWORK, OrdinalType* info) const;
01129     void STEQR(const char COMPZ, const OrdinalType n, double* D, double* E, double* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const;
01130 
01131     // Hessenberg eigenproblem routines.
01132     void HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* H, const OrdinalType ldh, double* WR, double* WI, double* Z, const OrdinalType ldz, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01133     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(double*, double*), const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, double* VS, const OrdinalType ldvs, double* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const;    
01134     void GEES(const char JOBVS, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, double* VS, const OrdinalType ldvs, double* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
01135     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, double* A, const OrdinalType lda, double* WR, double* WI, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01136 
01137     // Orthogonal matrix routines.
01138     void ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* C, const OrdinalType ldc, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01139     void ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01140     void UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01141     void ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01142     void ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const double* A, const OrdinalType lda, const double* TAU, double* C, const OrdinalType ldc, double* WORK, const OrdinalType lwork, OrdinalType* info) const;
01143 
01144     // Triangular matrix routines.
01145     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(double*,double*), const OrdinalType n, const double* T, const OrdinalType ldt, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, double* WORK, OrdinalType* info) const;
01146     void TREVC(const char SIDE, const OrdinalType n, const double* T, const OrdinalType ldt, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, double* WORK, double* RWORK, OrdinalType* info) const;
01147     void TREXC(const char COMPQ, const OrdinalType n, double* T, const OrdinalType ldt, double* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, double* WORK, OrdinalType* info) const;
01148 
01149     // Rotation/reflection generators
01150     void LARTG( const double f, const double g, double* c, double* s, double* r ) const;
01151     void LARFG( const OrdinalType n, double* alpha, double* x, const OrdinalType incx, double* tau ) const;
01152 
01153     // Random number generators
01154     double LARND( const OrdinalType idist, OrdinalType* seed ) const;
01155     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, double* v ) const;    
01156 
01157     // Machine characteristic routines.
01158     double LAMCH(const char CMACH) const;
01159     OrdinalType ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1 = -1, const OrdinalType N2 = -1, const OrdinalType N3 = -1, const OrdinalType N4 = -1 ) const;
01160 
01161     // Miscellaneous routines.
01162     double LAPY2(const double x, const double y) const;
01163   };
01164 
01165   // END DOUBLE PARTIAL SPECIALIZATION DECLARATION //
01166 
01167   // BEGIN DOUBLE PARTIAL SPECIALIZATION IMPLEMENTATION //
01168 
01169 
01170   template<typename OrdinalType>
01171   void LAPACK<OrdinalType, double>::PTTRF(const OrdinalType n, double* d, double* e, OrdinalType* info) const
01172   {
01173     DPTTRF_F77(&n,d,e,info);
01174   }
01175   
01176   template<typename OrdinalType>
01177   void LAPACK<OrdinalType, double>::PTTRS(const OrdinalType n, const OrdinalType nrhs, const double* d, const double* e, double* B, const OrdinalType ldb, OrdinalType* info) const
01178   {
01179     DPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
01180   }
01181   
01182   template<typename OrdinalType>
01183   void LAPACK<OrdinalType, double>::POTRF(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* info) const
01184   {
01185     DPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01186   }
01187   
01188   template<typename OrdinalType>
01189   void LAPACK<OrdinalType, double>::POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const
01190   {
01191     DPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01192   }
01193   
01194   template<typename OrdinalType>
01195   void LAPACK<OrdinalType, double>::POTRI(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* info) const
01196   {
01197     DPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01198   }
01199   
01200   template<typename OrdinalType>
01201     void LAPACK<OrdinalType, double>::POCON(const char UPLO, const OrdinalType n, const double* A, const OrdinalType lda, const double anorm, double* rcond, double* WORK, OrdinalType* IWORK, OrdinalType* info) const
01202   {
01203     DPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, IWORK, info);
01204   }
01205   
01206   template<typename OrdinalType>
01207   void LAPACK<OrdinalType, double>::POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const
01208   {
01209     DPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01210   }
01211   
01212   template<typename OrdinalType>
01213   void LAPACK<OrdinalType, double>::POEQU(const OrdinalType n, const double* A, const OrdinalType lda, double* S, double* scond, double* amax, OrdinalType* info) const
01214   {
01215     DPOEQU_F77(&n, A, &lda, S, scond, amax, info);
01216   }
01217   
01218   template<typename OrdinalType>
01219   void LAPACK<OrdinalType, double>::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, const double* AF, const OrdinalType ldaf, const double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const
01220   {
01221     DPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info);
01222   }
01223   
01224   template<typename OrdinalType>
01225     void LAPACK<OrdinalType, double>::POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* AF, const OrdinalType ldaf, char EQUED, double* S, double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const 
01226   {
01227     DPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
01228   }
01229   
01230   template<typename OrdinalType>
01231   void LAPACK<OrdinalType,double>::GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01232   {
01233     DGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, &info);
01234   }
01235   
01236   template<typename OrdinalType>  
01237   void LAPACK<OrdinalType,double>::GEQRF( const OrdinalType m, const OrdinalType n, double* A, const OrdinalType lda, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01238   {
01239     DGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
01240   }
01241 
01242   template<typename OrdinalType>
01243   void LAPACK<OrdinalType,double>::GETRF(const OrdinalType m, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
01244   {
01245     DGETRF_F77(&m, &n, A, &lda, IPIV, info);
01246   }
01247   
01248   template<typename OrdinalType>
01249   void LAPACK<OrdinalType,double>::GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, const OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const
01250   {
01251     DGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
01252   }
01253   
01254   template<typename OrdinalType>
01255   void LAPACK<OrdinalType,double>::GTTRF(const OrdinalType n, double* dl, double* d, double* du, double* du2, OrdinalType* IPIV, OrdinalType* info) const
01256   {
01257     DGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
01258   }
01259 
01260   template<typename OrdinalType>
01261   void LAPACK<OrdinalType,double>::GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* dl, const double* d, const double* du, const double* du2, const OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const
01262   {
01263     DGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
01264   }
01265   
01266   template<typename OrdinalType>
01267   void LAPACK<OrdinalType,double>::GETRI(const OrdinalType n, double* A, const OrdinalType lda, const OrdinalType* IPIV, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01268   {
01269     DGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
01270   }
01271   
01272   template<typename OrdinalType>
01273   void LAPACK<OrdinalType,double>::GECON(const char NORM, const OrdinalType n, const double* A, const OrdinalType lda, const double anorm, double* rcond, double* WORK, OrdinalType* IWORK, OrdinalType* info) const
01274   {
01275     DGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, IWORK, info);
01276   }
01277   
01278   template<typename OrdinalType>
01279   void LAPACK<OrdinalType,double>::GESV(const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, OrdinalType* IPIV, double* B, const OrdinalType ldb, OrdinalType* info) const
01280   {
01281     DGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
01282   }
01283   
01284   template<typename OrdinalType>
01285   void LAPACK<OrdinalType,double>::GEEQU(const OrdinalType m, const OrdinalType n, const double* A, const OrdinalType lda, double* R, double* C, double* rowcond, double* colcond, double* amax, OrdinalType* info) const
01286   {
01287     DGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
01288   }
01289   
01290   template<typename OrdinalType>
01291   void LAPACK<OrdinalType,double>::GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, const double* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const
01292   {
01293     DGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info);
01294   }
01295   
01296   template<typename OrdinalType>
01297   void LAPACK<OrdinalType,double>::GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, double* A, const OrdinalType lda, double* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, double* R, double* C, double* B, const OrdinalType ldb, double* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, double* WORK, OrdinalType* IWORK, OrdinalType* info) const
01298   {
01299     DGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
01300   }
01301   
01302   template<typename OrdinalType>
01303   void LAPACK<OrdinalType,double>::SYTRD(const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* D, double* E, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01304   {
01305     DSYTRD_F77(CHAR_MACRO(UPLO), &n, A, &lda, D, E, TAU, WORK, &lwork, info);
01306   }
01307 
01308   template<typename OrdinalType>
01309   void LAPACK<OrdinalType, double>::GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* A, const OrdinalType lda, double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01310   {
01311     DGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
01312   }
01313 
01314   template<typename OrdinalType>
01315   void LAPACK<OrdinalType,double>::TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const double* A, const OrdinalType lda, double* B, const OrdinalType ldb, OrdinalType* info) const 
01316   {
01317     DTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
01318   }
01319   
01320   template<typename OrdinalType>
01321   void LAPACK<OrdinalType,double>::SPEV(const char JOBZ, const char UPLO, const OrdinalType n, double* AP, double* W, double* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const
01322   {
01323     DSPEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, AP, W, Z, &ldz, WORK, info);
01324   }
01325 
01326   template<typename OrdinalType>
01327   void LAPACK<OrdinalType,double>::SYEV(const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* W, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01328   {
01329     DSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
01330   }
01331 
01332   template<typename OrdinalType>
01333   void LAPACK<OrdinalType,double>::SYGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* W, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01334   {
01335     DSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
01336   }
01337 
01338   template<typename OrdinalType>
01339   void LAPACK<OrdinalType,double>::HEEV(const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* W, double* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const
01340   {
01341     DSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
01342   }
01343 
01344   template<typename OrdinalType>
01345   void LAPACK<OrdinalType,double>::HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, double* A, const OrdinalType lda, double* B, const OrdinalType ldb, double* W, double* WORK, const OrdinalType lwork, double *RWORK, OrdinalType* info) const
01346   {
01347     DSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
01348   }
01349 
01350   template<typename OrdinalType>
01351   void LAPACK<OrdinalType,double>::STEQR(const char COMPZ, const OrdinalType n, double* D, double* E, double* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const
01352   {
01353     DSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
01354   }
01355 
01356   template<typename OrdinalType>
01357   void LAPACK<OrdinalType, double>::HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* H, const OrdinalType ldh, double* WR, double* WI, double* Z, const OrdinalType ldz, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01358   {
01359     DHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, WR, WI, Z, &ldz, WORK, &lwork, info);
01360   }
01361   
01362   template<typename OrdinalType>
01363   void LAPACK<OrdinalType, double>::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(double*, double*), const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, double* VS, const OrdinalType ldvs, double* WORK, const OrdinalType lwork, OrdinalType* BWORK, OrdinalType* info) const    
01364   {
01365     DGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
01366   }
01367 
01368   template<typename OrdinalType>
01369   void LAPACK<OrdinalType, double>::GEES(const char JOBVS, const OrdinalType n, double* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, double* VS, const OrdinalType ldvs, double* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
01370   {
01371     OrdinalType (*nullfptr)(double*,double*) = NULL;
01372     const char sort = 'N';
01373     DGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
01374   }
01375 
01376   template<typename OrdinalType>
01377   void LAPACK<OrdinalType, double>::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, double* A, const OrdinalType lda, double* WR, double* WI, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01378   {
01379     DGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, WORK, &lwork, info);
01380   }
01381 
01382   template<typename OrdinalType>
01383   void LAPACK<OrdinalType, double>::ORMQR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* C, const OrdinalType ldc, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01384   {
01385     DORMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
01386   }
01387 
01388   template<typename OrdinalType>
01389   void LAPACK<OrdinalType, double>::ORGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01390   {
01391     DORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
01392   }
01393   
01394   template<typename OrdinalType>
01395   void LAPACK<OrdinalType, double>::UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01396   {
01397     DORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
01398   }
01399   
01400   template<typename OrdinalType>
01401   void LAPACK<OrdinalType, double>::ORGHR(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, double* A, const OrdinalType lda, const double* TAU, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01402   {
01403     DORGHR_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
01404   }
01405   
01406   template<typename OrdinalType>
01407   void LAPACK<OrdinalType, double>::ORMHR(const char SIDE, const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, const double* A, const OrdinalType lda, const double* TAU, double* C, const OrdinalType ldc, double* WORK, const OrdinalType lwork, OrdinalType* info) const
01408   {
01409     DORMHR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &ilo, &ihi, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
01410   }
01411   
01412   template<typename OrdinalType>
01413   void LAPACK<OrdinalType, double>::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(double*,double*), const OrdinalType n, const double* T, const OrdinalType ldt, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, double* WORK, OrdinalType* info) const
01414   {
01415     DTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), ptr2func, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
01416   }
01417   
01418   template<typename OrdinalType>
01419   void LAPACK<OrdinalType, double>::TREVC(const char SIDE, const OrdinalType n, const double* T, const OrdinalType ldt, double* VL, const OrdinalType ldvl, double* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, double* WORK, double* RWORK, OrdinalType* info) const
01420   {
01421     OrdinalType (*nullfptr)(double*,double*) = NULL;
01422     const char whch = 'A';
01423     DTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), nullfptr, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
01424   }
01425   
01426   template<typename OrdinalType>
01427   void LAPACK<OrdinalType, double>::TREXC(const char COMPQ, const OrdinalType n, double* T, const OrdinalType ldt, double* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, double* WORK, OrdinalType* info) const
01428   {
01429     DTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, WORK, info);
01430   }
01431 
01432   template<typename OrdinalType>
01433   void LAPACK<OrdinalType, double>::LARTG( const double f, const double g, double* c, double* s, double* r ) const
01434   {
01435     DLARTG_F77(&f, &g, c, s, r);
01436   }
01437 
01438   template<typename OrdinalType>
01439   void LAPACK<OrdinalType, double>::LARFG( const OrdinalType n, double* alpha, double* x, const OrdinalType incx, double* tau ) const
01440   {
01441     DLARFG_F77(&n, alpha, x, &incx, tau);
01442   }
01443 
01444   template<typename OrdinalType>
01445   double LAPACK<OrdinalType, double>::LARND( const OrdinalType idist, OrdinalType* seed ) const
01446   {
01447     return(DLARND_F77(&idist, seed));
01448   }
01449 
01450   template<typename OrdinalType>
01451   void LAPACK<OrdinalType, double>::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, double* v ) const
01452   {
01453     DLARNV_F77(&idist, seed, &n, v);
01454   }
01455 
01456   template<typename OrdinalType>
01457   double LAPACK<OrdinalType, double>::LAMCH(const char CMACH) const
01458   {
01459     return(DLAMCH_F77(CHAR_MACRO(CMACH)));
01460   }
01461 
01462   template<typename OrdinalType>
01463   OrdinalType LAPACK<OrdinalType, double>::ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1, const OrdinalType N2, const OrdinalType N3, const OrdinalType N4 ) const
01464   {
01465     unsigned int opts_length = OPTS.length();
01466     // if user queries a Hermitian routine, change it to a symmetric routine
01467     std::string temp_NAME = "d" + NAME;
01468     if (temp_NAME.substr(1,2) == "he") {
01469       temp_NAME.replace(1,2,"sy");
01470     }
01471     unsigned int name_length = temp_NAME.length();
01472 #if defined(INTEL_CXML)
01473     return ILAENV_F77(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4 );
01474 #else
01475 # if defined(__INTEL_COMPILER) && defined(_WIN32)
01476     return 0;
01477 # else
01478     return ILAENV_F77(&ispec, &temp_NAME[0], &OPTS[0], &N1, &N2, &N3, &N4, name_length, opts_length );
01479 # endif
01480 #endif
01481   }
01482  
01483   template<typename OrdinalType>
01484   double LAPACK<OrdinalType, double>::LAPY2(const double x, const double y) const
01485   {
01486     return DLAPY2_F77(&x, &y);
01487   }
01488 
01489   // END DOUBLE PARTIAL SPECIALIZATION IMPLEMENTATION //
01490 
01491 #ifdef HAVE_TEUCHOS_COMPLEX
01492 
01493   // BEGIN COMPLEX<FLOAT> PARTIAL SPECIALIZATION DECLARATION //
01494 
01495   template<typename OrdinalType>
01496   class LAPACK<OrdinalType, complex<float> >
01497   {    
01498   public:
01499     inline LAPACK(void) {};
01500     inline LAPACK(const LAPACK<OrdinalType, complex<float> >& lapack) {};
01501     inline virtual ~LAPACK(void) {};
01502 
01503     // Symmetric positive definite linear system routines
01504     void PTTRF(const OrdinalType n, complex<float>* d, complex<float>* e, OrdinalType* info) const;
01505     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const complex<float>* d, const complex<float>* e, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01506     void POTRF(const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* info) const;
01507     void POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01508     void POTRI(const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* info) const;
01509     void POCON(const char UPLO, const OrdinalType n, const complex<float>* A, const OrdinalType lda, const float anorm, float* rcond, complex<float>* WORK, float* rwork, OrdinalType* info) const;
01510     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01511     void POEQU(const OrdinalType n, const complex<float>* A, const OrdinalType lda, float* S, float* scond, float* amax, OrdinalType* info) const;
01512     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, const complex<float>* AF, const OrdinalType ldaf, const complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01513     void POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* AF, const OrdinalType ldaf, char EQUED, float* S, complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const; 
01514 
01515     // General Linear System Routines
01516     void GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01517     void GEQRF( const OrdinalType m, const OrdinalType n, complex<float>* A, const OrdinalType lda, complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01518     void UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, complex<float>* A, const OrdinalType lda, const complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01519     void GETRF(const OrdinalType m, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
01520     void GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01521     void GTTRF(const OrdinalType n, complex<float>* dl, complex<float>* d, complex<float>* du, complex<float>* du2, OrdinalType* IPIV, OrdinalType* info) const;
01522     void GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* dl, const complex<float>* d, const complex<float>* du, const complex<float>* du2, const OrdinalType* IPIV, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01523     void GETRI(const OrdinalType n, complex<float>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01524     void GECON(const char NORM, const OrdinalType n, const complex<float>* A, const OrdinalType lda, const float anorm, float* rcond, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01525     void GESV(const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, OrdinalType* IPIV, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const;
01526     void GEEQU(const OrdinalType m, const OrdinalType n, const complex<float>* A, const OrdinalType lda, float* R, float* C, float* rowcond, float* colcond, float* amax, OrdinalType* info) const;
01527     void GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, const complex<float>* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01528     void GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, float* R, float* C, complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01529     void GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<float>* A, const OrdinalType lda, complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01530     void TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const; 
01531 
01532     // Symmetric eigenvalue routines.
01533     void STEQR(const char COMPZ, const OrdinalType n, float* D, float* E, complex<float>* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const;
01534     void HEEV(const char JOBZ, const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, float* W, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const;
01535     void HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, float* W, complex<float>* WORK, const OrdinalType lwork, float *RWORK, OrdinalType* info) const;
01536 
01537     // Hessenberg eigenvalue routines.
01538     void HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<float>* H, const OrdinalType ldh, complex<float>* W, complex<float>* Z, const OrdinalType ldz, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01539     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(complex<float>*), const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* sdim, complex<float>* W, complex<float>* VS, const OrdinalType ldvs, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
01540     void GEES(const char JOBVS, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, complex<float>* VS, const OrdinalType ldvs, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
01541     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, complex<float>* A, const OrdinalType lda, complex<float>* W, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const;
01542 
01543     // Triangular matrix routines.
01544     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(complex<float>*), const OrdinalType n, const complex<float>* T, const OrdinalType ldt, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01545     void TREVC(const char SIDE, const OrdinalType n, const complex<float>* T, const OrdinalType ldt, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<float>* WORK, float* RWORK, OrdinalType* info) const;
01546     void TREXC(const char COMPQ, const OrdinalType n, complex<float>* T, const OrdinalType ldt, complex<float>* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, complex<float>* WORK, OrdinalType* info) const;
01547 
01548     // Rotation/reflection generators
01549     void LARTG( const complex<float> f, const complex<float> g, float* c, complex<float>* s, complex<float>* r ) const;
01550     void LARFG( const OrdinalType n, complex<float>* alpha, complex<float>* x, const OrdinalType incx, complex<float>* tau ) const;
01551 
01552     // Random number generators
01553     complex<float> LARND( const OrdinalType idist, OrdinalType* seed ) const;
01554     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, complex<float>* v ) const;    
01555 
01556     // Machine characteristics
01557     OrdinalType ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1 = -1, const OrdinalType N2 = -1, const OrdinalType N3 = -1, const OrdinalType N4 = -1 ) const;
01558 
01559   };
01560 
01561   // END COMPLEX<FLOAT> PARTIAL SPECIALIZATION DECLARATION //
01562 
01563   // BEGIN COMPLEX<FLOAT> PARTIAL SPECIALIZATION IMPLEMENTATION //
01564 
01565   template<typename OrdinalType>
01566   void LAPACK<OrdinalType, complex<float> >::PTTRF(const OrdinalType n, complex<float>* d, complex<float>* e, OrdinalType* info) const
01567   {
01568     CPTTRF_F77(&n,d,e,info);
01569   }
01570   
01571   template<typename OrdinalType>
01572   void LAPACK<OrdinalType, complex<float> >::PTTRS(const OrdinalType n, const OrdinalType nrhs, const complex<float>* d, const complex<float>* e, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const
01573   {
01574     CPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
01575   }
01576   
01577   template<typename OrdinalType>
01578   void LAPACK<OrdinalType, complex<float> >::POTRF(const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* info) const
01579   {
01580     CPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01581   }
01582   
01583   template<typename OrdinalType>
01584   void LAPACK<OrdinalType, complex<float> >::POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const
01585   {
01586     CPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01587   }
01588   
01589   template<typename OrdinalType>
01590   void LAPACK<OrdinalType, complex<float> >::POTRI(const char UPLO, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* info) const
01591   {
01592     CPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01593   }
01594   
01595   template<typename OrdinalType>
01596   void LAPACK<OrdinalType, complex<float> >::POCON(const char UPLO, const OrdinalType n, const complex<float>* A, const OrdinalType lda, const float anorm, float* rcond, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01597   {
01598     CPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
01599   }
01600   
01601   template<typename OrdinalType>
01602   void LAPACK<OrdinalType, complex<float> >::POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const
01603   {
01604     CPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01605   }
01606   
01607   template<typename OrdinalType>
01608   void LAPACK<OrdinalType, complex<float> >::POEQU(const OrdinalType n, const complex<float>* A, const OrdinalType lda, float* S, float* scond, float* amax, OrdinalType* info) const
01609   {
01610     CPOEQU_F77(&n, A, &lda, S, scond, amax, info);
01611   }
01612   
01613   template<typename OrdinalType>
01614   void LAPACK<OrdinalType, complex<float> >::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, const complex<float>* AF, const OrdinalType ldaf, const complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01615   {
01616     CPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
01617   }
01618   
01619   template<typename OrdinalType>
01620   void LAPACK<OrdinalType, complex<float> >::POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* AF, const OrdinalType ldaf, char EQUED, float* S, complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01621   {
01622     CPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
01623   }
01624   
01625   template<typename OrdinalType>
01626   void LAPACK<OrdinalType,complex<float> >::GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01627   {
01628     CGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info);
01629   }
01630   
01631   template<typename OrdinalType>  
01632   void LAPACK<OrdinalType,complex<float> >::GEQRF( const OrdinalType m, const OrdinalType n, complex<float>* A, const OrdinalType lda, complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01633   {
01634     CGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
01635   }
01636 
01637   template<typename OrdinalType>
01638   void LAPACK<OrdinalType,complex<float> >::UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, complex<float>* A, const OrdinalType lda, const complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01639   {
01640     CUNGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
01641   }
01642   
01643   template<typename OrdinalType>
01644   void LAPACK<OrdinalType,complex<float> >::GETRF(const OrdinalType m, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
01645   {
01646     CGETRF_F77(&m, &n, A, &lda, IPIV, info);
01647   }
01648   
01649   template<typename OrdinalType>
01650   void LAPACK<OrdinalType,complex<float> >::GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<float>* B , const OrdinalType ldb, OrdinalType* info) const
01651   {
01652     CGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
01653   }
01654   
01655   template<typename OrdinalType>
01656   void LAPACK<OrdinalType,complex<float> >::GTTRF(const OrdinalType n, complex<float>* dl, complex<float>* d, complex<float>* du, complex<float>* du2, OrdinalType* IPIV, OrdinalType* info) const
01657   {
01658     CGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
01659   }
01660 
01661   template<typename OrdinalType>
01662   void LAPACK<OrdinalType,complex<float> >::GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* dl, const complex<float>* d, const complex<float>* du, const complex<float>* du2, const OrdinalType* IPIV, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const
01663   {
01664     CGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
01665   }
01666   
01667   template<typename OrdinalType>
01668   void LAPACK<OrdinalType,complex<float> >::GETRI(const OrdinalType n, complex<float>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01669   {
01670     CGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
01671   }
01672   
01673   template<typename OrdinalType>
01674   void LAPACK<OrdinalType,complex<float> >::GECON(const char NORM, const OrdinalType n, const complex<float>* A, const OrdinalType lda, const float anorm, float* rcond, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01675   {
01676     CGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
01677   }
01678   
01679   template<typename OrdinalType>
01680   void LAPACK<OrdinalType,complex<float> >::GESV(const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, OrdinalType* IPIV, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const
01681   {
01682     CGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
01683   }
01684   
01685   template<typename OrdinalType>
01686   void LAPACK<OrdinalType,complex<float> >::GEEQU(const OrdinalType m, const OrdinalType n, const complex<float>* A, const OrdinalType lda, float* R, float* C, float* rowcond, float* colcond, float* amax, OrdinalType* info) const
01687   {
01688     CGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
01689   }
01690   
01691   template<typename OrdinalType>
01692   void LAPACK<OrdinalType,complex<float> >::GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, const complex<float>* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01693   {
01694     CGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
01695   }
01696   
01697   template<typename OrdinalType>
01698   void LAPACK<OrdinalType,complex<float> >::GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, complex<float>* A, const OrdinalType lda, complex<float>* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, float* R, float* C, complex<float>* B, const OrdinalType ldb, complex<float>* X, const OrdinalType ldx, float* rcond, float* FERR, float* BERR, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01699   {
01700     CGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
01701   }
01702   
01703   template<typename OrdinalType>
01704   void LAPACK<OrdinalType,complex<float> >::GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<float>* A, const OrdinalType lda, complex<float>* TAU, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01705   {
01706     CGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
01707   }
01708   
01709   template<typename OrdinalType>
01710   void LAPACK<OrdinalType,complex<float> >::TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const complex<float>* A, const OrdinalType lda, complex<float>* B, const OrdinalType ldb, OrdinalType* info) const 
01711   {
01712     CTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
01713   }
01714   
01715   template<typename OrdinalType>
01716   void LAPACK<OrdinalType,complex<float> >::STEQR(const char COMPZ, const OrdinalType n, float* D, float* E, complex<float>* Z, const OrdinalType ldz, float* WORK, OrdinalType* info) const
01717   {
01718     CSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
01719   }
01720 
01721   template<typename OrdinalType>
01722   void LAPACK<OrdinalType,complex<float> >::HEEV(const char JOBZ, const char UPLO, const OrdinalType n, complex<float> * A, const OrdinalType lda, float * W, complex<float> * WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const
01723   {
01724     CHEEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, RWORK, info);
01725   }
01726 
01727   template<typename OrdinalType>
01728   void LAPACK<OrdinalType,complex<float> >::HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, complex<float> * A, const OrdinalType lda, complex<float> * B, const OrdinalType ldb, float * W, complex<float> * WORK, const OrdinalType lwork, float *RWORK, OrdinalType* info) const
01729   {
01730     CHEGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, RWORK, info);
01731   }
01732 
01733   template<typename OrdinalType>
01734   void LAPACK<OrdinalType, complex<float> >::HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<float>* H, const OrdinalType ldh, complex<float>* W, complex<float>* Z, const OrdinalType ldz, complex<float>* WORK, const OrdinalType lwork, OrdinalType* info) const
01735   {
01736     CHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, W, Z, &ldz, WORK, &lwork, info);
01737   }
01738 
01739   template<typename OrdinalType>
01740   void LAPACK<OrdinalType, complex<float> >::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(complex<float>*), const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* sdim, complex<float>* W, complex<float>* VS, const OrdinalType ldvs, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
01741   {
01742     CGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, W, VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
01743   }
01744 
01745   template<typename OrdinalType>
01746   void LAPACK<OrdinalType, complex<float> >::GEES(const char JOBVS, const OrdinalType n, complex<float>* A, const OrdinalType lda, OrdinalType* sdim, float* WR, float* WI, complex<float>* VS, const OrdinalType ldvs, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
01747   {
01748     OrdinalType (*nullfptr)(complex<float>*) = NULL;
01749     std::vector< complex<float> > W(n);
01750     const char sort = 'N';
01751     CGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, &W[0], VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
01752     for (int i=0; i<n; i++) {
01753       WR[i] = W[i].real();
01754       WI[i] = W[i].imag();
01755     }
01756   }
01757 
01758   template<typename OrdinalType>
01759   void LAPACK<OrdinalType, complex<float> >::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, complex<float>* A, const OrdinalType lda, complex<float>* W, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, complex<float>* WORK, const OrdinalType lwork, float* RWORK, OrdinalType* info) const
01760   {
01761     CGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, WORK, &lwork, RWORK, info);
01762   }
01763 
01764   template<typename OrdinalType>
01765   void LAPACK<OrdinalType, complex<float> >::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(complex<float>*), const OrdinalType n, const complex<float>* T, const OrdinalType ldt, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01766   {
01767     CTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), ptr2func, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
01768   }
01769   
01770   template<typename OrdinalType>
01771   void LAPACK<OrdinalType, complex<float> >::TREVC(const char SIDE, const OrdinalType n, const complex<float>* T, const OrdinalType ldt, complex<float>* VL, const OrdinalType ldvl, complex<float>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<float>* WORK, float* RWORK, OrdinalType* info) const
01772   {
01773     OrdinalType (*nullfptr)(complex<float>*) = NULL;
01774     const char whch = 'A';
01775     CTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), nullfptr, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
01776   }
01777   
01778   template<typename OrdinalType>
01779   void LAPACK<OrdinalType, complex<float> >::TREXC(const char COMPQ, const OrdinalType n, complex<float>* T, const OrdinalType ldt, complex<float>* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, complex<float>* WORK, OrdinalType* info) const
01780   {
01781     CTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, info);
01782   }
01783 
01784   template<typename OrdinalType>
01785   void LAPACK<OrdinalType, complex<float> >::LARTG( const complex<float> f, const complex<float> g, float* c, complex<float>* s, complex<float>* r ) const
01786   {
01787     CLARTG_F77(&f, &g, c, s, r);
01788   }
01789 
01790   template<typename OrdinalType>
01791   void LAPACK<OrdinalType, complex<float> >::LARFG( const OrdinalType n, complex<float>* alpha, complex<float>* x, const OrdinalType incx, complex<float>* tau ) const
01792   {
01793     CLARFG_F77(&n, alpha, x, &incx, tau);
01794   }
01795 
01796   template<typename OrdinalType>
01797   complex<float> LAPACK<OrdinalType, complex<float> >::LARND( const OrdinalType idist, OrdinalType* seed ) const
01798   {
01799     return(CLARND_F77(&idist, seed));
01800   }
01801 
01802   template<typename OrdinalType>
01803   void LAPACK<OrdinalType, complex<float> >::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, complex<float>* v ) const
01804   {
01805     CLARNV_F77(&idist, seed, &n, v);
01806   }
01807 
01808   template<typename OrdinalType>
01809   OrdinalType LAPACK<OrdinalType, complex<float> >::ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1, const OrdinalType N2, const OrdinalType N3, const OrdinalType N4 ) const
01810   {
01811     unsigned int opts_length = OPTS.length();
01812     std::string temp_NAME = "c" + NAME;
01813     unsigned int name_length = temp_NAME.length();
01814 #if defined (INTEL_CXML)
01815     return ILAENV_F77(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4 );
01816 #else
01817     return ILAENV_F77(&ispec, &temp_NAME[0], &OPTS[0], &N1, &N2, &N3, &N4, name_length, opts_length );
01818 #endif
01819   }
01820 
01821   // END COMPLEX<FLOAT> PARTIAL SPECIALIZATION IMPLEMENTATION //
01822 
01823   // BEGIN COMPLEX<DOUBLE> PARTIAL SPECIALIZATION DECLARATION //
01824 
01825   template<typename OrdinalType>
01826   class LAPACK<OrdinalType, complex<double> >
01827   {    
01828   public:
01829     inline LAPACK(void) {};
01830     inline LAPACK(const LAPACK<OrdinalType, complex<double> >& lapack) {};
01831     inline virtual ~LAPACK(void) {};
01832 
01833     // Symmetric positive definite linear system routines
01834     void PTTRF(const OrdinalType n, complex<double>* d, complex<double>* e, OrdinalType* info) const;
01835     void PTTRS(const OrdinalType n, const OrdinalType nrhs, const complex<double>* d, const complex<double>* e, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01836     void POTRF(const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* info) const;
01837     void POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01838     void POTRI(const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* info) const;
01839     void POCON(const char UPLO, const OrdinalType n, const complex<double>* A, const OrdinalType lda, const double anorm, double* rcond, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01840     void POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01841     void POEQU(const OrdinalType n, const complex<double>* A, const OrdinalType lda, double* S, double* scond, double* amax, OrdinalType* info) const;
01842     void PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, const complex<double>* AF, const OrdinalType ldaf, const complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01843     void POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* AF, const OrdinalType ldaf, char EQUED, double* S, complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const; 
01844 
01845     // General Linear System Routines
01846     void GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01847     void GEQRF( const OrdinalType m, const OrdinalType n, complex<double>* A, const OrdinalType lda, complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01848     void UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, complex<double>* A, const OrdinalType lda, const complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01849     void GETRF(const OrdinalType m, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const;
01850     void GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01851     void GTTRF(const OrdinalType n, complex<double>* dl, complex<double>* d, complex<double>* du, complex<double>* du2, OrdinalType* IPIV, OrdinalType* info) const;
01852     void GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* dl, const complex<double>* d, const complex<double>* du, const complex<double>* du2, const OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01853     void GETRI(const OrdinalType n, complex<double>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01854     void GECON(const char NORM, const OrdinalType n, const complex<double>* A, const OrdinalType lda, const double anorm, double* rcond, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01855     void GESV(const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const;
01856     void GEEQU(const OrdinalType m, const OrdinalType n, const complex<double>* A, const OrdinalType lda, double* R, double* C, double* rowcond, double* colcond, double* amax, OrdinalType* info) const;
01857     void GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, const complex<double>* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01858     void GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, double* R, double* C, complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01859     void GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<double>* A, const OrdinalType lda, complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01860     void TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const; 
01861 
01862     // Symmetric eigenvalue routines.
01863     void STEQR(const char COMPZ, const OrdinalType n, double* D, double* E, complex<double>* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const;
01864     void HEEV(const char JOBZ, const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, double* W, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const;
01865     void HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, double* W, complex<double>* WORK, const OrdinalType lwork, double *RWORK, OrdinalType* info) const;
01866 
01867     // Hessenberg eigenvalue routines.
01868     void HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<double>* H, const OrdinalType ldh, complex<double>* W, complex<double>* Z, const OrdinalType ldz, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const;
01869     void GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(complex<double>*), const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* sdim, complex<double>* W, complex<double>* VS, const OrdinalType ldvs, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
01870     void GEES(const char JOBVS, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, complex<double>* VS, const OrdinalType ldvs, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const;    
01871     void GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, complex<double>* A, const OrdinalType lda, complex<double>* W, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const;
01872 
01873     // Triangular matrix routines.
01874     void TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(complex<double>*), const OrdinalType n, const complex<double>* T, const OrdinalType ldt, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01875     void TREVC(const char SIDE, const OrdinalType n, const complex<double>* T, const OrdinalType ldt, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<double>* WORK, double* RWORK, OrdinalType* info) const;
01876     void TREXC(const char COMPQ, const OrdinalType n, complex<double>* T, const OrdinalType ldt, complex<double>* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, complex<double>* WORK, OrdinalType* info) const;
01877 
01878     // Rotation/reflection generators
01879     void LARTG( const complex<double> f, const complex<double> g, double* c, complex<double>* s, complex<double>* r ) const;
01880     void LARFG( const OrdinalType n, complex<double>* alpha, complex<double>* x, const OrdinalType incx, complex<double>* tau ) const;
01881 
01882     // Random number generators
01883     complex<double> LARND( const OrdinalType idist, OrdinalType* seed ) const;
01884     void LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, complex<double>* v ) const;    
01885 
01886     // Machine characteristics
01887     OrdinalType ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1 = -1, const OrdinalType N2 = -1, const OrdinalType N3 = -1, const OrdinalType N4 = -1 ) const;
01888 
01889   };
01890 
01891   // END COMPLEX<DOUBLE> PARTIAL SPECIALIZATION DECLARATION //
01892 
01893   // BEGIN COMPLEX<DOUBLE> PARTIAL SPECIALIZATION IMPLEMENTATION //
01894 
01895   template<typename OrdinalType>
01896   void LAPACK<OrdinalType, complex<double> >::PTTRF(const OrdinalType n, complex<double>* d, complex<double>* e, OrdinalType* info) const
01897   {
01898     ZPTTRF_F77(&n,d,e,info);
01899   }
01900   
01901   template<typename OrdinalType>
01902   void LAPACK<OrdinalType, complex<double> >::PTTRS(const OrdinalType n, const OrdinalType nrhs, const complex<double>* d, const complex<double>* e, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
01903   {
01904     ZPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
01905   }
01906   
01907   template<typename OrdinalType>
01908   void LAPACK<OrdinalType, complex<double> >::POTRF(const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* info) const
01909   {
01910     ZPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01911   }
01912   
01913   template<typename OrdinalType>
01914   void LAPACK<OrdinalType, complex<double> >::POTRS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
01915   {
01916     ZPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01917   }
01918   
01919   template<typename OrdinalType>
01920   void LAPACK<OrdinalType, complex<double> >::POTRI(const char UPLO, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* info) const
01921   {
01922     ZPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
01923   }
01924   
01925   template<typename OrdinalType>
01926   void LAPACK<OrdinalType, complex<double> >::POCON(const char UPLO, const OrdinalType n, const complex<double>* A, const OrdinalType lda, const double anorm, double* rcond, complex<double>* WORK, double* RWORK, OrdinalType* info) const
01927   {
01928     ZPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
01929   }
01930   
01931   template<typename OrdinalType>
01932   void LAPACK<OrdinalType, complex<double> >::POSV(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
01933   {
01934     ZPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
01935   }
01936   
01937   template<typename OrdinalType>
01938   void LAPACK<OrdinalType, complex<double> >::POEQU(const OrdinalType n, const complex<double>* A, const OrdinalType lda, double* S, double* scond, double* amax, OrdinalType* info) const
01939   {
01940     ZPOEQU_F77(&n, A, &lda, S, scond, amax, info);
01941   }
01942   
01943   template<typename OrdinalType>
01944   void LAPACK<OrdinalType, complex<double> >::PORFS(const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, const complex<double>* AF, const OrdinalType ldaf, const complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const
01945   {
01946     ZPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
01947   }
01948   
01949   template<typename OrdinalType>
01950   void LAPACK<OrdinalType, complex<double> >::POSVX(const char FACT, const char UPLO, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* AF, const OrdinalType ldaf, char EQUED, double* S, complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const
01951   {
01952     ZPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
01953   }
01954   
01955   template<typename OrdinalType>
01956   void LAPACK<OrdinalType,complex<double> >::GELS(const char TRANS, const OrdinalType m, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
01957   {
01958     ZGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info);
01959   }
01960   
01961   template<typename OrdinalType>  
01962   void LAPACK<OrdinalType,complex<double> >::GEQRF( const OrdinalType m, const OrdinalType n, complex<double>* A, const OrdinalType lda, complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
01963   {
01964     ZGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
01965   }
01966 
01967   template<typename OrdinalType>
01968   void LAPACK<OrdinalType,complex<double> >::UNGQR(const OrdinalType m, const OrdinalType n, const OrdinalType k, complex<double>* A, const OrdinalType lda, const complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
01969   {
01970     ZUNGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
01971   }
01972   
01973   template<typename OrdinalType>
01974   void LAPACK<OrdinalType,complex<double> >::GETRF(const OrdinalType m, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* IPIV, OrdinalType* info) const
01975   {
01976     ZGETRF_F77(&m, &n, A, &lda, IPIV, info);
01977   }
01978   
01979   template<typename OrdinalType>
01980   void LAPACK<OrdinalType,complex<double> >::GETRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
01981   {
01982     ZGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
01983   }
01984   
01985   template<typename OrdinalType>
01986   void LAPACK<OrdinalType,complex<double> >::GTTRF(const OrdinalType n, complex<double>* dl, complex<double>* d, complex<double>* du, complex<double>* du2, OrdinalType* IPIV, OrdinalType* info) const
01987   {
01988     ZGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
01989   }
01990 
01991   template<typename OrdinalType>
01992   void LAPACK<OrdinalType,complex<double> >::GTTRS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* dl, const complex<double>* d, const complex<double>* du, const complex<double>* du2, const OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
01993   {
01994     ZGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
01995   }
01996   
01997   template<typename OrdinalType>
01998   void LAPACK<OrdinalType,complex<double> >::GETRI(const OrdinalType n, complex<double>* A, const OrdinalType lda, const OrdinalType* IPIV, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
01999   {
02000     ZGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
02001   }
02002   
02003   template<typename OrdinalType>
02004   void LAPACK<OrdinalType,complex<double> >::GECON(const char NORM, const OrdinalType n, const complex<double>* A, const OrdinalType lda, const double anorm, double* rcond, complex<double>* WORK, double* RWORK, OrdinalType* info) const
02005   {
02006     ZGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
02007   }
02008   
02009   template<typename OrdinalType>
02010   void LAPACK<OrdinalType,complex<double> >::GESV(const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, OrdinalType* IPIV, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const
02011   {
02012     ZGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
02013   }
02014   
02015   template<typename OrdinalType>
02016   void LAPACK<OrdinalType,complex<double> >::GEEQU(const OrdinalType m, const OrdinalType n, const complex<double>* A, const OrdinalType lda, double* R, double* C, double* rowcond, double* colcond, double* amax, OrdinalType* info) const
02017   {
02018     ZGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
02019   }
02020   
02021   template<typename OrdinalType>
02022   void LAPACK<OrdinalType,complex<double> >::GERFS(const char TRANS, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, const complex<double>* AF, const OrdinalType ldaf, const OrdinalType* IPIV, const complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const
02023   {
02024     ZGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
02025   }
02026   
02027   template<typename OrdinalType>
02028   void LAPACK<OrdinalType,complex<double> >::GESVX(const char FACT, const char TRANS, const OrdinalType n, const OrdinalType nrhs, complex<double>* A, const OrdinalType lda, complex<double>* AF, const OrdinalType ldaf, OrdinalType* IPIV, char EQUED, double* R, double* C, complex<double>* B, const OrdinalType ldb, complex<double>* X, const OrdinalType ldx, double* rcond, double* FERR, double* BERR, complex<double>* WORK, double* RWORK, OrdinalType* info) const
02029   {
02030     ZGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
02031   }
02032   
02033   template<typename OrdinalType>
02034   void LAPACK<OrdinalType,complex<double> >::GEHRD(const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<double>* A, const OrdinalType lda, complex<double>* TAU, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
02035   {
02036     ZGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
02037   }
02038   
02039   template<typename OrdinalType>
02040   void LAPACK<OrdinalType,complex<double> >::TRTRS(const char UPLO, const char TRANS, const char DIAG, const OrdinalType n, const OrdinalType nrhs, const complex<double>* A, const OrdinalType lda, complex<double>* B, const OrdinalType ldb, OrdinalType* info) const 
02041   {
02042     ZTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
02043   }
02044   
02045   template<typename OrdinalType>
02046   void LAPACK<OrdinalType,complex<double> >::STEQR(const char COMPZ, const OrdinalType n, double* D, double* E, complex<double>* Z, const OrdinalType ldz, double* WORK, OrdinalType* info) const
02047   {
02048     ZSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
02049   }
02050 
02051   template<typename OrdinalType>
02052   void LAPACK<OrdinalType,complex<double> >::HEEV(const char JOBZ, const char UPLO, const OrdinalType n, complex<double> * A, const OrdinalType lda, double * W, complex<double> * WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const
02053   {
02054     ZHEEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, RWORK, info);
02055   }
02056 
02057   template<typename OrdinalType>
02058   void LAPACK<OrdinalType,complex<double> >::HEGV(const OrdinalType itype, const char JOBZ, const char UPLO, const OrdinalType n, complex<double> * A, const OrdinalType lda, complex<double> * B, const OrdinalType ldb, double * W, complex<double> * WORK, const OrdinalType lwork, double *RWORK, OrdinalType* info) const
02059   {
02060     ZHEGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, RWORK, info);
02061   }
02062 
02063   template<typename OrdinalType>
02064   void LAPACK<OrdinalType, complex<double> >::HSEQR(const char JOB, const char COMPZ, const OrdinalType n, const OrdinalType ilo, const OrdinalType ihi, complex<double>* H, const OrdinalType ldh, complex<double>* W, complex<double>* Z, const OrdinalType ldz, complex<double>* WORK, const OrdinalType lwork, OrdinalType* info) const
02065   {
02066     ZHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, W, Z, &ldz, WORK, &lwork, info);
02067   }
02068 
02069   template<typename OrdinalType>
02070   void LAPACK<OrdinalType, complex<double> >::GEES(const char JOBVS, const char SORT, OrdinalType (*ptr2func)(complex<double>*), const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* sdim, complex<double>* W, complex<double>* VS, const OrdinalType ldvs, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
02071   {
02072     ZGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, W, VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
02073   }
02074 
02075   template<typename OrdinalType>
02076   void LAPACK<OrdinalType, complex<double> >::GEES(const char JOBVS, const OrdinalType n, complex<double>* A, const OrdinalType lda, OrdinalType* sdim, double* WR, double* WI, complex<double>* VS, const OrdinalType ldvs, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* BWORK, OrdinalType* info) const    
02077   {
02078     OrdinalType (*nullfptr)(complex<double>*) = NULL;
02079     std::vector< complex<double> > W(n);
02080     const char sort = 'N';
02081     ZGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, &W[0], VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
02082     for (int i=0; i<n; i++) {
02083       WR[i] = W[i].real();
02084       WI[i] = W[i].imag();
02085     }
02086   }
02087 
02088   template<typename OrdinalType>
02089   void LAPACK<OrdinalType, complex<double> >::GEEV(const char JOBVL, const char JOBVR, const OrdinalType n, complex<double>* A, const OrdinalType lda, complex<double>* W, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, complex<double>* WORK, const OrdinalType lwork, double* RWORK, OrdinalType* info) const
02090   {
02091     ZGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, WORK, &lwork, RWORK, info);
02092   }
02093 
02094   template<typename OrdinalType>
02095   void LAPACK<OrdinalType, complex<double> >::TREVC(const char SIDE, const char HOWMNY, OrdinalType (*ptr2func)(complex<double>*), const OrdinalType n, const complex<double>* T, const OrdinalType ldt, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<double>* WORK, double* RWORK, OrdinalType* info) const
02096   {
02097     ZTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), ptr2func, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
02098   }
02099   
02100   template<typename OrdinalType>
02101   void LAPACK<OrdinalType, complex<double> >::TREVC(const char SIDE, const OrdinalType n, const complex<double>* T, const OrdinalType ldt, complex<double>* VL, const OrdinalType ldvl, complex<double>* VR, const OrdinalType ldvr, const OrdinalType mm, OrdinalType* m, complex<double>* WORK, double* RWORK, OrdinalType* info) const
02102   {
02103     OrdinalType (*nullfptr)(complex<double>*) = NULL;
02104     const char whch = 'A';
02105     ZTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), nullfptr, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
02106   }
02107   
02108   template<typename OrdinalType>
02109   void LAPACK<OrdinalType, complex<double> >::TREXC(const char COMPQ, const OrdinalType n, complex<double>* T, const OrdinalType ldt, complex<double>* Q, const OrdinalType ldq, OrdinalType ifst, OrdinalType ilst, complex<double>* WORK, OrdinalType* info) const
02110   {
02111     ZTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, info);
02112   }
02113 
02114   template<typename OrdinalType>
02115   void LAPACK<OrdinalType, complex<double> >::LARTG( const complex<double> f, const complex<double> g, double* c, complex<double>* s, complex<double>* r ) const
02116   {
02117     ZLARTG_F77(&f, &g, c, s, r);
02118   }
02119 
02120   template<typename OrdinalType>
02121   void LAPACK<OrdinalType, complex<double> >::LARFG( const OrdinalType n, complex<double>* alpha, complex<double>* x, const OrdinalType incx, complex<double>* tau ) const
02122   {
02123     ZLARFG_F77(&n, alpha, x, &incx, tau);
02124   }
02125 
02126   template<typename OrdinalType>
02127   complex<double> LAPACK<OrdinalType, complex<double> >::LARND( const OrdinalType idist, OrdinalType* seed ) const
02128   {
02129     return(ZLARND_F77(&idist, seed));
02130   }
02131 
02132   template<typename OrdinalType>
02133   void LAPACK<OrdinalType, complex<double> >::LARNV( const OrdinalType idist, OrdinalType* seed, const OrdinalType n, complex<double>* v ) const
02134   {
02135     ZLARNV_F77(&idist, seed, &n, v);
02136   }
02137 
02138   template<typename OrdinalType>
02139   OrdinalType LAPACK<OrdinalType, complex<double> >::ILAENV( const OrdinalType ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType N1, const OrdinalType N2, const OrdinalType N3, const OrdinalType N4 ) const
02140   {
02141     unsigned int opts_length = OPTS.length();
02142     std::string temp_NAME = "z" + NAME;
02143     unsigned int name_length = temp_NAME.length();
02144 #if defined (INTEL_CXML)
02145     return ILAENV_F77(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4 );
02146 #else
02147     return ILAENV_F77(&ispec, &temp_NAME[0], &OPTS[0], &N1, &N2, &N3, &N4, name_length, opts_length );
02148 #endif
02149   }
02150 
02151   // END COMPLEX<DOUBLE> PARTIAL SPECIALIZATION IMPLEMENTATION //
02152 
02153 #endif // HAVE_TEUCHOS_COMPLEX
02154 
02155 #endif // DOXYGEN_SHOULD_SKIP_THIS
02156 
02157 } // namespace Teuchos
02158 
02159 #endif // _TEUCHOS_LAPACK_HPP_
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