35 #ifndef _BLAZE_MATH_EXPRESSIONS_SVECNORMEXPR_H_ 36 #define _BLAZE_MATH_EXPRESSIONS_SVECNORMEXPR_H_ 100 template<
typename VT
105 decltype(
auto) norm_backend( const SparseVector<VT,TF>& sv, Abs
abs, Power power, Root root )
107 using CT = CompositeType_t<VT>;
108 using ET = ElementType_t<VT>;
109 using RT = decltype(
evaluate( root( std::declval<ET>() ) ) );
111 if( (~sv).
size() == 0UL )
return RT();
115 const auto end( tmp.end() );
116 auto element( tmp.begin() );
118 if( element ==
end )
return RT();
120 ET
norm( power(
abs( element->value() ) ) );
123 for( ; element!=
end; ++element ) {
124 norm += power(
abs( element->value() ) );
148 template<
typename VT
174 template<
typename VT
200 template<
typename VT
226 template<
typename VT
252 template<
typename VT
278 template<
typename VT
309 template<
typename VT
351 using Norm =
typename TypeAt< Norms,
min( P-1UL, 4UL ) >::Type;
353 return Norm()( ~sv );
373 template<
typename VT
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 the SparseVector base class.
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
Header file for the Cbrt functor.
Header file for the LpNorm functor.
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
constexpr size_t size(const Matrix< MT, SO > &matrix) noexcept
Returns the total number of elements of the matrix.
Definition: Matrix.h:530
Header file for the Noop functor.
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.
Base class for sparse vectors.The SparseVector class is a base class for all arbitrarily sized (N-dim...
Definition: Forward.h:138
Header file for the L1Norm functor.
Header file for the Qdrt functor.
Header file for the Pow3 functor.
Header file for the function trace functionality.