potri.h
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1 //=================================================================================================
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_LAPACK_POTRI_H_
36 #define _BLAZE_MATH_LAPACK_POTRI_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <boost/cast.hpp>
51 #include <blaze/util/Assert.h>
52 #include <blaze/util/Complex.h>
53 #include <blaze/util/Exception.h>
55 
56 
57 namespace blaze {
58 
59 //=================================================================================================
60 //
61 // LAPACK FORWARD DECLARATIONS
62 //
63 //=================================================================================================
64 
65 //*************************************************************************************************
67 extern "C" {
68 
69 void spotri_( char* uplo, int* n, float* A, int* lda, int* info );
70 void dpotri_( char* uplo, int* n, double* A, int* lda, int* info );
71 void cpotri_( char* uplo, int* n, float* A, int* lda, int* info );
72 void zpotri_( char* uplo, int* n, double* A, int* lda, int* info );
73 
74 }
76 //*************************************************************************************************
77 
78 
79 
80 
81 //=================================================================================================
82 //
83 // LAPACK LLH-BASED INVERSION FUNCTIONS (POTRI)
84 //
85 //=================================================================================================
86 
87 //*************************************************************************************************
90 inline void potri( char uplo, int n, float* A, int lda, int* info );
91 
92 inline void potri( char uplo, int n, double* A, int lda, int* info );
93 
94 inline void potri( char uplo, int n, complex<float>* A, int lda, int* info );
95 
96 inline void potri( char uplo, int n, complex<double>* A, int lda, int* info );
97 
98 template< typename MT, bool SO >
99 inline void potri( DenseMatrix<MT,SO>& A, char uplo );
101 //*************************************************************************************************
102 
103 
104 //*************************************************************************************************
134 inline void potri( char uplo, int n, float* A, int lda, int* info )
135 {
136  spotri_( &uplo, &n, A, &lda, info );
137 }
138 //*************************************************************************************************
139 
140 
141 //*************************************************************************************************
171 inline void potri( char uplo, int n, double* A, int lda, int* info )
172 {
173  dpotri_( &uplo, &n, A, &lda, info );
174 }
175 //*************************************************************************************************
176 
177 
178 //*************************************************************************************************
208 inline void potri( char uplo, int n, complex<float>* A, int lda, int* info )
209 {
210  BLAZE_STATIC_ASSERT( sizeof( complex<float> ) == 2UL*sizeof( float ) );
211 
212  cpotri_( &uplo, &n, reinterpret_cast<float*>( A ), &lda, info );
213 }
214 //*************************************************************************************************
215 
216 
217 //*************************************************************************************************
247 inline void potri( char uplo, int n, complex<double>* A, int lda, int* info )
248 {
249  BLAZE_STATIC_ASSERT( sizeof( complex<double> ) == 2UL*sizeof( double ) );
250 
251  zpotri_( &uplo, &n, reinterpret_cast<double*>( A ), &lda, info );
252 }
253 //*************************************************************************************************
254 
255 
256 //*************************************************************************************************
294 template< typename MT // Type of the dense matrix
295  , bool SO > // Storage order of the dense matrix
296 inline void potri( DenseMatrix<MT,SO>& A, char uplo )
297 {
298  using boost::numeric_cast;
299 
304 
305  if( !isSquare( ~A ) ) {
306  BLAZE_THROW_INVALID_ARGUMENT( "Invalid non-square matrix provided" );
307  }
308 
309  if( uplo != 'L' && uplo != 'U' ) {
310  BLAZE_THROW_INVALID_ARGUMENT( "Invalid uplo argument provided" );
311  }
312 
313  int n ( numeric_cast<int>( (~A).columns() ) );
314  int lda ( numeric_cast<int>( (~A).spacing() ) );
315  int info( 0 );
316 
317  if( n == 0 ) {
318  return;
319  }
320 
322  ( uplo == 'L' )?( uplo = 'U' ):( uplo = 'L' );
323  }
324 
325  potri( uplo, n, (~A).data(), lda, &info );
326 
327  BLAZE_INTERNAL_ASSERT( info >= 0, "Invalid argument for matrix inversion" );
328 
329  if( info > 0 ) {
330  BLAZE_THROW_INVALID_ARGUMENT( "Inversion of singular matrix failed" );
331  }
332 }
333 //*************************************************************************************************
334 
335 } // namespace blaze
336 
337 #endif
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exceptionThis macro encapsulates the default way of...
Definition: Exception.h:187
Constraint on the data type.
Log level for high-level information.
Definition: LogLevel.h:80
#define BLAZE_CONSTRAINT_MUST_HAVE_MUTABLE_DATA_ACCESS(T)
Constraint on the data type.In case the given data type T does not provide low-level data access to m...
Definition: MutableDataAccess.h:79
BLAZE_ALWAYS_INLINE bool isSquare(const Matrix< MT, SO > &matrix)
Checks if the given matrix is a square matrix.
Definition: Matrix.h:603
#define BLAZE_CONSTRAINT_MUST_NOT_BE_COMPUTATION_TYPE(T)
Constraint on the data type.In case the given data type T is a computational expression (i...
Definition: Computation.h:118
void potri(char uplo, int n, float *A, int lda, int *info)
LAPACK kernel for the inversion of the given dense positive definite single precision column-major sq...
Definition: potri.h:134
Constraint on the data type.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_ADAPTOR_TYPE(T)
Constraint on the data type.In case the given data type T is an adaptor type (as for instance LowerMa...
Definition: Adaptor.h:118
Base class for dense matrices.The DenseMatrix class is a base class for all dense matrix classes...
Definition: DenseMatrix.h:70
Namespace of the Blaze C++ math library.
Definition: Blaze.h:57
Compile time assertion.
Compile time check for row-major matrix types.This type trait tests whether or not the given template...
Definition: IsRowMajorMatrix.h:110
Header file for the DenseMatrix base class.
Type ElementType
Type of the sparse matrix elements.
Definition: CompressedMatrix.h:2586
Constraint on the data type.
Constraint on the data type.
const bool spacing
Adding an additional spacing line between two log messages.This setting gives the opportunity to add ...
Definition: Logging.h:70
Header file for run time assertion macros.
#define BLAZE_CONSTRAINT_MUST_BE_BLAS_COMPATIBLE_TYPE(T)
Constraint on the data type.In case the given data type T is not a BLAS compatible data type (i...
Definition: BlasCompatible.h:79
Header file for the IsRowMajorMatrix type trait.
BLAZE_ALWAYS_INLINE size_t columns(const Matrix< MT, SO > &matrix)
Returns the current number of columns of the matrix.
Definition: Matrix.h:324
Header file for the complex data type.
Header file for exception macros.
#define BLAZE_STATIC_ASSERT(expr)
Compile time assertion macro.In case of an invalid compile time expression, a compilation error is cr...
Definition: StaticAssert.h:143
Header file for the LAPACK LU decomposition functions (getrf)
#define BLAZE_INTERNAL_ASSERT(expr, msg)
Run time assertion macro for internal checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_INTERNAL_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERTION flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:101