FTpsMath.h File Reference

#include "FixedAlgebra/FTps.h"
#include "Utilities/DomainError.h"
#include <complex>
#include <type_traits>

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Classes
struct	is_complex< T >
struct	is_complex< std::complex< T > >

Functions
template<class T , int N>
FTps< T, N >	pow (const FTps< T, N > &x, int y, int trunc=(FTps< T, N >::EXACT))
	Tps x to the power (int y). More...
template<class T , int N>
FTps< T, N >	sqrt (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Square root. More...
template<class T , int N>
FTps< T, N >	sin (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Sine. More...
template<class T , int N>
FTps< T, N >	cos (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Cosine. More...
template<class T , int N>
FTps< T, N >	tan (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Tangent. More...
template<class T , int N>
FTps< T, N >	cot (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Cotangent. More...
template<class T , int N>
FTps< T, N >	sec (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Secant. More...
template<class T , int N>
FTps< T, N >	csc (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Cosecant. More...
template<class T , int N>
FTps< T, N >	exp (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Exponential. More...
template<class T , int N>
FTps< T, N >	log (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Natural logarithm. More...
template<class T , int N>
FTps< T, N >	sinh (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic sine. More...
template<class T , int N>
FTps< T, N >	cosh (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic cosine. More...
template<class T , int N>
FTps< T, N >	tanh (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic tangent. More...
template<class T , int N>
FTps< T, N >	coth (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic cotangent. More...
template<class T , int N>
FTps< T, N >	sech (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic secant. More...
template<class T , int N>
FTps< T, N >	csch (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Hyperbolic cosecant. More...
template<class T , int N>
FTps< T, N >	erf (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Error function. More...
template<class T , int N>
FTps< T, N >	erfc (const FTps< T, N > &x, int trunc=(FTps< T, N >::EXACT))
	Complementary error function. More...

Function Documentation

template<class T , int N>

FTps< T, N > cos	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Cosine.

Definition at line 191 of file FTpsMath.h.

References cos(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), sin(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > cosh	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic cosine.

Definition at line 324 of file FTpsMath.h.

References cosh(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), sinh(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > cot	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Cotangent.

Definition at line 222 of file FTpsMath.h.

References cos(), FTps< T, N >::getMinOrder(), sin(), and T.

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template<class T , int N>

FTps< T, N > coth	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic cotangent.

Definition at line 355 of file FTpsMath.h.

References cosh(), FTps< T, N >::getMinOrder(), sinh(), and T.

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template<class T , int N>

FTps< T, N > csc	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Cosecant.

Definition at line 241 of file FTpsMath.h.

References FTps< T, N >::getMinOrder(), sin(), and T.

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template<class T , int N>

FTps< T, N > csch	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic cosecant.

Definition at line 374 of file FTpsMath.h.

References FTps< T, N >::getMinOrder(), sinh(), and T.

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template<class T , int N>

FTps< T, N > erf	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Error function.

Definition at line 385 of file FTpsMath.h.

References exp(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), real(), sqrt(), T, and FTps< T, N >::taylor().

Referenced by SpecializedGreensFunction< 3 >::calculate(), erfc(), Util::erfinv(), ApplyField< T >::operator()(), and matheval::detail::grammar< real_t, Iterator >::ufunc_::ufunc_().

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template<class T , int N>

FTps< T, N > erfc	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Complementary error function.

Definition at line 414 of file FTpsMath.h.

References erf(), and T.

Referenced by matheval::detail::grammar< real_t, Iterator >::ufunc_::ufunc_().

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template<class T , int N>

FTps< T, N > exp	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Exponential.

Definition at line 252 of file FTpsMath.h.

References exp(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > log	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Natural logarithm.

Definition at line 274 of file FTpsMath.h.

References FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), log(), min(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > pow	(	const FTps< T, N > &	x,
		int	y,
		int	trunc = (FTps<T, N>::EXACT)
	)

Tps x to the power (int y).

Definition at line 118 of file FTpsMath.h.

References FTps< T, N >::getMinOrder(), FTps< T, N >::inverse(), FTps< T, N >::multiply(), and T.

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template<class T , int N>

FTps< T, N > sec	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Secant.

Definition at line 233 of file FTpsMath.h.

References cos().

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template<class T , int N>

FTps< T, N > sech	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic secant.

Definition at line 366 of file FTpsMath.h.

References cosh().

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template<class T , int N>

FTps< T, N > sin	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Sine.

Definition at line 168 of file FTpsMath.h.

References cos(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), sin(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > sinh	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic sine.

Definition at line 301 of file FTpsMath.h.

References cosh(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), min(), sinh(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > sqrt	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Square root.

Definition at line 137 of file FTpsMath.h.

References endl(), FTps< T, N >::getMinOrder(), FTps< T, N >::getTruncOrder(), imag(), min(), real(), sqrt(), T, and FTps< T, N >::taylor().

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template<class T , int N>

FTps< T, N > tan	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Tangent.

Definition at line 214 of file FTpsMath.h.

References cos(), and sin().

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template<class T , int N>

FTps< T, N > tanh	(	const FTps< T, N > &	x,
		int	trunc = (FTps<T, N>::EXACT)
	)

Hyperbolic tangent.

Definition at line 347 of file FTpsMath.h.

References cosh(), and sinh().

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