35 #ifndef _BLAZE_MATH_EXPRESSIONS_SMATNORMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SMATNORMEXPR_H_ 103 inline decltype(
auto) norm_backend( const SparseMatrix<MT,SO>& sm, Abs
abs, Power power, Root root )
105 using CT = CompositeType_t<MT>;
106 using ET = ElementType_t<MT>;
107 using RT = decltype(
evaluate( root( std::declval<ET>() ) ) );
109 if( (~sm).
rows() == 0UL || (~sm).
columns() == 0UL )
return RT();
113 const size_t N( IsRowMajorMatrix_v<MT> ? tmp.rows(): tmp.columns() );
117 for(
size_t i=0UL; i<N; ++i )
119 const auto end( tmp.end(i) );
120 for(
auto element=tmp.begin(i); element!=
end; ++element ) {
122 norm = power(
abs( element->value() ) );
124 norm += power(
abs( element->value() ) );
149 template<
typename MT
175 template<
typename MT
201 template<
typename MT
227 template<
typename MT
253 template<
typename MT
279 template<
typename MT
310 template<
typename MT
352 using Norm =
typename TypeAt< Norms,
min( P-1UL, 4UL ) >::Type;
354 return Norm()( ~sm );
374 template<
typename MT
decltype(auto) sqrNorm(const DenseMatrix< MT, SO > &dm)
Computes the squared L2 norm for the given dense matrix.
Definition: DMatNormExpr.h:496
Header file for the Sqrt functor.
Header file for auxiliary alias declarations.
#define BLAZE_USER_ASSERT(expr, msg)
Run time assertion macro for user checks.In case of an invalid run time expression, the program execution is terminated. The BLAZE_USER_ASSERT macro can be disabled by setting the BLAZE_USER_ASSERT flag to zero or by defining NDEBUG during the compilation.
Definition: Assert.h:117
Generic wrapper for the cbrt() function.
Definition: Cbrt.h:80
Generic wrapper for the squared abs() function.
Definition: SqrAbs.h:84
Header file for basic type definitions.
decltype(auto) l3Norm(const DenseMatrix< MT, SO > &dm)
Computes the L3 norm for the given dense matrix.
Definition: DMatNormExpr.h:574
Header file for the Pow2 functor.
decltype(auto) l2Norm(const DenseMatrix< MT, SO > &dm)
Computes the L2 norm for the given dense matrix.
Definition: DMatNormExpr.h:548
decltype(auto) l4Norm(const DenseMatrix< MT, SO > &dm)
Computes the L4 norm for the given dense matrix.
Definition: DMatNormExpr.h:600
Header file for the isZero shim.
Generic wrapper for the pow() function with fixed exponent.
Definition: Forward.h:129
decltype(auto) lpNorm(const DenseMatrix< MT, SO > &dm, ST p)
Computes the Lp norm for the given dense matrix.
Definition: DMatNormExpr.h:632
Header file for the invert shim.
Generic wrapper for the qdrt() function.
Definition: Qdrt.h:81
#define BLAZE_STATIC_ASSERT_MSG(expr, msg)
Compile time assertion macro.In case of an invalid compile time expression, a compilation error is cr...
Definition: StaticAssert.h:123
const MT::ResultType evaluate(const Matrix< MT, SO > &matrix)
Evaluates the given matrix expression.
Definition: Matrix.h:912
constexpr size_t columns(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of columns of the matrix.
Definition: Matrix.h:514
Header file for the Cbrt functor.
Header file for the LpNorm functor.
Base class for sparse matrices.The SparseMatrix class is a base class for all sparse matrix classes...
Definition: Forward.h:137
Header file for the SparseMatrix base class.
bool isZero(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is 0.
Definition: DiagonalProxy.h:673
Generic wrapper for the abs() function.
Definition: Abs.h:82
Generic wrapper for the sqrt() function.
Definition: Sqrt.h:82
Header file for the multiplication trait.
Namespace of the Blaze C++ math library.
Definition: Blaze.h:58
Header file for the L4Norm functor.
Header file for the SqrAbs functor.
Header file for the UnderlyingBuiltin type trait.
decltype(auto) l1Norm(const DenseMatrix< MT, SO > &dm)
Computes the L1 norm for the given dense matrix.
Definition: DMatNormExpr.h:522
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
decltype(auto) inv(const DenseMatrix< MT, SO > &dm)
Calculation of the inverse of the given dense matrix.
Definition: DMatInvExpr.h:423
Header file for the L2Norm functor.
Implementation of a type list.The TypeList class template represents a list of data types of arbitrar...
Definition: TypeList.h:119
Generic wrapper for the null function.
Definition: Noop.h:59
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
MT::Iterator end(Matrix< MT, SO > &matrix, size_t i)
Returns an iterator just past the last element of row/column i.
Definition: Matrix.h:438
Header file for the Abs functor.
decltype(auto) abs(const DenseMatrix< MT, SO > &dm)
Applies the abs() function to each single element of the dense matrix dm.
Definition: DMatMapExpr.h:1152
decltype(auto) maxNorm(const DenseMatrix< MT, SO > &dm)
Computes the maximum norm for the given dense matrix.
Definition: DMatNormExpr.h:695
typename MultTrait< T1, T2 >::Type MultTrait_t
Auxiliary alias declaration for the MultTrait class template.The MultTrait_t alias declaration provid...
Definition: MultTrait.h:240
Header file for the evaluate shim.
Generic wrapper for the pow2() function.
Definition: Pow2.h:77
Header file for run time assertion macros.
Indexing a type list.The TypeAt class can be used to access a type list at a specified position to qu...
Definition: TypeAt.h:76
Header file for the Unique class template.
Header file for the UnaryPow functor.
#define BLAZE_FUNCTION_TRACE
Function trace macro.This macro can be used to reliably trace function calls. In case function tracin...
Definition: FunctionTrace.h:94
Header file for the isDefault shim.
Header file for the Noop functor.
constexpr size_t rows(const Matrix< MT, SO > &matrix) noexcept
Returns the current number of rows of the matrix.
Definition: Matrix.h:498
decltype(auto) norm(const DenseMatrix< MT, SO > &dm)
Computes the L2 norm for the given dense matrix.
Definition: DMatNormExpr.h:470
Generic wrapper for the pow3() function.
Definition: Pow3.h:77
Header file for the L3Norm functor.
Header file for the IsRowMajorMatrix type trait.
bool isDefault(const DiagonalProxy< MT > &proxy)
Returns whether the represented element is in default state.
Definition: DiagonalProxy.h:631
Header file for the L1Norm functor.
Header file for the Qdrt functor.
Header file for the IsResizable type trait.
Header file for the Pow3 functor.
Header file for the function trace functionality.