tlapack::NaNPropagComplex< T > Struct Template Reference

Inheritance diagram for tlapack::NaNPropagComplex< T >:

Collaboration diagram for tlapack::NaNPropagComplex< T >:

Public Member Functions
constexpr	NaNPropagComplex (const T &r=T(), const T &i=T())
template<typename U >
constexpr NaNPropagComplex &	operator*= (const std::complex< U > &x)
constexpr NaNPropagComplex &	operator*= (const T &x)
template<typename U >
constexpr NaNPropagComplex &	operator+= (const std::complex< U > &x)
template<typename U >
constexpr NaNPropagComplex &	operator-= (const std::complex< U > &x)
template<typename U >
constexpr NaNPropagComplex &	operator/= (const std::complex< U > &x)
constexpr NaNPropagComplex &	operator/= (const T &x)
template<typename U >
constexpr NaNPropagComplex &	operator= (const std::complex< U > &x)

Friends
T	abs (const NaNPropagComplex &x)
	2-norm absolute value, sqrt( |Re(x)|^2 + |Im(x)|^2 )
NaNPropagComplex	conj (const NaNPropagComplex &x)
constexpr NaNPropagComplex	operator* (const NaNPropagComplex &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator* (const NaNPropagComplex &x, const T &y)
constexpr NaNPropagComplex	operator* (const T &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator+ (const NaNPropagComplex &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator+ (const NaNPropagComplex &x, const T &y)
constexpr NaNPropagComplex	operator+ (const T &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator- (const NaNPropagComplex &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator- (const NaNPropagComplex &x, const T &y)
constexpr NaNPropagComplex	operator- (const T &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator/ (const NaNPropagComplex &x, const NaNPropagComplex &y)
constexpr NaNPropagComplex	operator/ (const NaNPropagComplex &x, const T &y)
constexpr NaNPropagComplex	operator/ (const T &x, const NaNPropagComplex &y)

Friends And Related Symbol Documentation

abs

template<class T >

T abs ( const NaNPropagComplex< T > &  x )

friend

2-norm absolute value, sqrt( |Re(x)|^2 + |Im(x)|^2 )

Note that std::abs< std::complex > does not overflow or underflow at intermediate stages of the computation.

See also

https://en.cppreference.com/w/cpp/numeric/complex/abs

However, std::abs(std::complex<T>) may not propagate NaNs. See https://github.com/tlapack/tlapack/issues/134#issue-1364091844. Operations with std::complex<T>, for T=float,double,long double are wrappers to operations in C. Other types have their implementation in C++. Because of that, the logic of complex multiplication, division and other operations may change from type to type. See https://github.com/advanpix/mpreal/issues/11.

Also, std::abs< mpfr::mpreal > may not propagate Infs.

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The documentation for this struct was generated from the following file:

• /home/runner/work/tlapack/tlapack/test/include/NaNPropagComplex.hpp