35 #ifndef _BLAZE_MATH_DIAGONALMATRIX_H_ 36 #define _BLAZE_MATH_DIAGONALMATRIX_H_ 78 class Rand< DiagonalMatrix<MT,SO,DF> >
84 inline const DiagonalMatrix<MT,SO,DF>
generate()
const;
85 inline const DiagonalMatrix<MT,SO,DF>
generate(
size_t n )
const;
86 inline const DiagonalMatrix<MT,SO,DF>
generate(
size_t n,
size_t nonzeros )
const;
88 template<
typename Arg >
89 inline const DiagonalMatrix<MT,SO,DF>
generate(
const Arg&
min,
const Arg&
max )
const;
91 template<
typename Arg >
92 inline const DiagonalMatrix<MT,SO,DF>
generate(
size_t n,
const Arg&
min,
const Arg&
max )
const;
94 template<
typename Arg >
95 inline const DiagonalMatrix<MT,SO,DF>
generate(
size_t n,
size_t nonzeros,
96 const Arg&
min,
const Arg&
max )
const;
103 inline void randomize( DiagonalMatrix<MT,SO,DF>& matrix )
const;
104 inline void randomize( DiagonalMatrix<MT,SO,DF>& matrix,
size_t nonzeros )
const;
106 template<
typename Arg >
107 inline void randomize( DiagonalMatrix<MT,SO,DF>& matrix,
const Arg&
min,
const Arg&
max )
const;
109 template<
typename Arg >
110 inline void randomize( DiagonalMatrix<MT,SO,DF>& matrix,
size_t nonzeros,
111 const Arg&
min,
const Arg&
max )
const;
122 template<
typename Arg >
125 template<
typename Arg >
140 template<
typename MT
143 inline const DiagonalMatrix<MT,SO,DF> Rand< DiagonalMatrix<MT,SO,DF> >::generate()
const 147 DiagonalMatrix<MT,SO,DF> matrix;
162 template<
typename MT
165 inline const DiagonalMatrix<MT,SO,DF>
166 Rand< DiagonalMatrix<MT,SO,DF> >::generate(
size_t n )
const 170 DiagonalMatrix<MT,SO,DF> matrix( n );
187 template<
typename MT
190 inline const DiagonalMatrix<MT,SO,DF>
191 Rand< DiagonalMatrix<MT,SO,DF> >::generate(
size_t n,
size_t nonzeros )
const 200 DiagonalMatrix<MT,SO,DF> matrix( n );
217 template<
typename MT
220 template<
typename Arg >
221 inline const DiagonalMatrix<MT,SO,DF>
222 Rand< DiagonalMatrix<MT,SO,DF> >::generate(
const Arg&
min,
const Arg&
max )
const 226 DiagonalMatrix<MT,SO,DF> matrix;
243 template<
typename MT
246 template<
typename Arg >
247 inline const DiagonalMatrix<MT,SO,DF>
248 Rand< DiagonalMatrix<MT,SO,DF> >::generate(
size_t n,
const Arg&
min,
const Arg&
max )
const 252 DiagonalMatrix<MT,SO,DF> matrix( n );
271 template<
typename MT
274 template<
typename Arg >
275 inline const DiagonalMatrix<MT,SO,DF>
276 Rand< DiagonalMatrix<MT,SO,DF> >::generate(
size_t n,
size_t nonzeros,
277 const Arg&
min,
const Arg&
max )
const 282 if( nonzeros > DiagonalMatrix<MT,SO,DF>::maxNonZeros( n ) ) {
286 DiagonalMatrix<MT,SO,DF> matrix( n );
302 template<
typename MT
305 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix )
const 307 randomize( matrix,
typename IsDenseMatrix<MT>::Type() );
320 template<
typename MT
323 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
TrueType )
const 327 using ET = ElementType_t<MT>;
329 const size_t n( matrix.rows() );
331 for(
size_t i=0UL; i<n; ++i ) {
332 matrix(i,i) = rand<ET>();
346 template<
typename MT
349 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
FalseType )
const 353 const size_t n( matrix.rows() );
355 if( n == 0UL )
return;
357 const size_t nonzeros( rand<size_t>( 1UL, n ) );
374 template<
typename MT
377 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
size_t nonzeros )
const 381 using ET = ElementType_t<MT>;
383 const size_t n( matrix.rows() );
389 if( n == 0UL )
return;
392 matrix.reserve( nonzeros );
394 Indices indices( 0UL, n-1UL, nonzeros );
397 for(
size_t index : indices ) {
398 for( ; i<index; ++i )
399 matrix.finalize( i );
400 matrix.append( i, i, rand<ET>() );
404 matrix.finalize( i );
420 template<
typename MT
423 template<
typename Arg >
424 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
425 const Arg&
min,
const Arg&
max )
const 442 template<
typename MT
445 template<
typename Arg >
446 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
451 using ET = ElementType_t<MT>;
453 const size_t n( matrix.rows() );
455 for(
size_t i=0UL; i<n; ++i ) {
456 matrix(i,i) = rand<ET>(
min,
max );
472 template<
typename MT
475 template<
typename Arg >
476 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
481 const size_t n( matrix.rows() );
483 if( n == 0UL )
return;
485 const size_t nonzeros( rand<size_t>( 1UL, n ) );
504 template<
typename MT
507 template<
typename Arg >
508 inline void Rand< DiagonalMatrix<MT,SO,DF> >
::randomize( DiagonalMatrix<MT,SO,DF>& matrix,
509 size_t nonzeros,
const Arg&
min,
const Arg&
max )
const 513 using ET = ElementType_t<MT>;
515 const size_t n( matrix.rows() );
521 if( n == 0UL )
return;
524 matrix.reserve( nonzeros );
526 Indices indices( 0UL, n-1UL, nonzeros );
529 for(
size_t index : indices ) {
530 for( ; i<index; ++i )
531 matrix.finalize( i );
532 matrix.append( i, i, rand<ET>(
min,
max ) );
536 matrix.finalize( i );
558 template<
typename MT
561 void makeSymmetric( DiagonalMatrix<MT,SO,DF>& matrix )
563 const size_t n( matrix.rows() );
567 for(
size_t i=0UL; i<n; ++i ) {
568 matrix(i,i) = rand< ElementType_t<MT> >();
586 template<
typename MT
590 void makeSymmetric( DiagonalMatrix<MT,SO,DF>& matrix,
const Arg&
min,
const Arg&
max )
592 using Type = ElementType_t<MT>;
594 const size_t n( matrix.rows() );
598 for(
size_t i=0UL; i<n; ++i ) {
599 matrix(i,i) = rand<Type>(
min,
max );
615 template<
typename MT
618 void makeHermitian( DiagonalMatrix<MT,SO,DF>& matrix )
620 using Type = UnderlyingBuiltin_t< ElementType_t<MT> >;
622 const size_t n( matrix.rows() );
626 for(
size_t i=0UL; i<n; ++i ) {
627 matrix(i,i) = rand<Type>();
645 template<
typename MT
649 void makeHermitian( DiagonalMatrix<MT,SO,DF>& matrix,
const Arg&
min,
const Arg&
max )
651 using Type = UnderlyingBuiltin_t< ElementType_t<MT> >;
653 const size_t n( matrix.rows() );
657 for(
size_t i=0UL; i<n; ++i ) {
658 matrix(i,i) = rand<Type>(
min,
max );
674 template<
typename MT
677 void makePositiveDefinite( DiagonalMatrix<MT,SO,DF>& matrix )
679 makeHermitian( matrix );
BoolConstant< false > FalseType
Type/value traits base class.The FalseType class is used as base class for type traits and value trai...
Definition: FalseType.h:61
#define BLAZE_THROW_INVALID_ARGUMENT(MESSAGE)
Macro for the emission of a std::invalid_argument exception.This macro encapsulates the default way o...
Definition: Exception.h:235
Header file for auxiliary alias declarations.
Header file for basic type definitions.
Header file for the FalseType type/value trait base class.
#define BLAZE_CONSTRAINT_MUST_BE_DENSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a dense, N-dimensional matrix type...
Definition: DenseMatrix.h:61
Constraint on the data type.
void reset(const DiagonalProxy< MT > &proxy)
Resetting the represented element to the default initial values.
Definition: DiagonalProxy.h:591
void randomize(T &&value)
Randomization of a given variable.
Definition: Random.h:929
Implementation of a random number generator.
BoolConstant< true > TrueType
Type traits base class.The TrueType class is used as base class for type traits and value traits that...
Definition: TrueType.h:61
Constraint on the data type.
Constraint on the data type.
void randomize(T &value) const
Randomization of the given variable with a new value in the range .
Definition: Random.h:292
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for all basic SparseMatrix functionality.
Header file for the UnderlyingBuiltin type trait.
decltype(auto) min(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise minimum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1147
Header file for the exception macros of the math module.
decltype(auto) max(const DenseMatrix< MT1, SO1 > &lhs, const DenseMatrix< MT2, SO2 > &rhs)
Computes the componentwise maximum of the dense matrices lhs and rhs.
Definition: DMatDMatMapExpr.h:1179
Header file for the IsDenseMatrix type trait.
Header file for the Indices class.
#define BLAZE_CONSTRAINT_MUST_NOT_BE_RESIZABLE_TYPE(T)
Constraint on the data type.In case the given data type T is resizable, i.e. has a 'resize' member fu...
Definition: Resizable.h:81
bool isHermitian(const DenseMatrix< MT, SO > &dm)
Checks if the given dense matrix is Hermitian.
Definition: DenseMatrix.h:617
bool isSymmetric(const DenseMatrix< MT, SO > &dm)
Checks if the given dense matrix is symmetric.
Definition: DenseMatrix.h:539
T generate() const
Generation of a random value in the range .
Definition: Random.h:252
Header file for all basic DenseMatrix functionality.
#define BLAZE_CONSTRAINT_MUST_BE_RESIZABLE_TYPE(T)
Constraint on the data type.In case the given data type T is not resizable, i.e. does not have a 'res...
Definition: Resizable.h:61
Header file for the implementation of a diagonal matrix adaptor.
#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
#define BLAZE_CONSTRAINT_MUST_BE_SPARSE_MATRIX_TYPE(T)
Constraint on the data type.In case the given data type T is not a sparse, N-dimensional matrix type...
Definition: SparseMatrix.h:61
Header file for the TrueType type/value trait base class.