TpsMath.h File Reference

#include "Algebra/Tps.h"
#include "Utilities/DomainError.h"
#include <cmath>

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Functions
template<class T >
Tps< T >	pow (const Tps< T > &x, int y)
	Integer power.
template<class T >
Tps< T >	sqrt (const Tps< T > &x)
	Square root.
template<class T >
Tps< T >	sin (const Tps< T > &x)
	Sine.
template<class T >
Tps< T >	cos (const Tps< T > &x)
	Cosine.
template<class T >
Tps< T >	tan (const Tps< T > &x)
	Tangent.
template<class T >
Tps< T >	cot (const Tps< T > &x)
	Cotangent.
template<class T >
Tps< T >	sec (const Tps< T > &x)
	Secant.
template<class T >
Tps< T >	csc (const Tps< T > &x)
	Cosecant.
template<class T >
Tps< T >	exp (const Tps< T > &x)
	Exponential.
template<class T >
Tps< T >	log (const Tps< T > &x)
	Natural logarithm.
template<class T >
Tps< T >	sinh (const Tps< T > &x)
	Hyperbolic sine.
template<class T >
Tps< T >	cosh (const Tps< T > &x)
	Hyperbolic cosine.
template<class T >
Tps< T >	tanh (const Tps< T > &x)
	Hyperbolic tangent.

Function Documentation

cos()

template<class T >

Tps< T > cos

(

const Tps< T > &

x

)

Cosine.

Definition at line 129 of file TpsMath.h.

References cos(), Tps< T >::getTruncOrder(), sin(), and Tps< T >::Taylor().

Referenced by ClosedOrbitFinder< Value_type, Size_type, Stepper >::computeTune(), cos(), GlobalFunctions::_cos::operator()(), sec(), sin(), and tan().

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cosh()

template<class T >

Tps< T > cosh

(

const Tps< T > &

x

)

Hyperbolic cosine.

Definition at line 222 of file TpsMath.h.

References cosh(), Tps< T >::getTruncOrder(), sinh(), and Tps< T >::Taylor().

Referenced by cosh(), sinh(), and tanh().

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cot()

template<class T >

Tps< T > cot

(

const Tps< T > &

x

)

Cotangent.

csc()

template<class T >

Tps< T > csc

(

const Tps< T > &

x

)

Cosecant.

Definition at line 159 of file TpsMath.h.

References Tps< T >::inverse(), and sin().

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exp()

template<class T >

Tps< T > exp

(

const Tps< T > &

x

)

Exponential.

Definition at line 165 of file TpsMath.h.

References exp(), Tps< T >::getTruncOrder(), and Tps< T >::Taylor().

Referenced by exp(), GlobalFunctions::_pow::operator()(), and GlobalFunctions::_exp::operator()().

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log()

template<class T >

Tps< T > log

(

const Tps< T > &

x

)

Natural logarithm.

Definition at line 182 of file TpsMath.h.

References Tps< T >::getTruncOrder(), log(), and Tps< T >::Taylor().

Referenced by log(), and GlobalFunctions::_log::operator()().

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pow()

template<class T >

Tps< T > pow	(	const Tps< T > &	x,
		int	y
	)

Integer power.

Definition at line 76 of file TpsMath.h.

References Tps< T >::inverse().

Referenced by SimulatedBinaryCrossover< T >::crossover(), TpsData::fillSubst(), interpolation::PPSolveFactory::getDerivPoints(), GlobalFunctions::_pow::operator()(), matheval::detail::SimpleMathParser< real_t >::parseFactor(), and savgol().

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sec()

template<class T >

Tps< T > sec

(

const Tps< T > &

x

)

Secant.

Definition at line 153 of file TpsMath.h.

References cos(), and Tps< T >::inverse().

Referenced by PyOpal::Field::getElementEndNormal(), PyOpal::Field::getElementEndPosition(), PyOpal::Field::getElementName(), PyOpal::Field::getElementStartNormal(), PyOpal::Field::getElementStartPosition(), and Ring::getSection().

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sin()

template<class T >

Tps< T > sin

(

const Tps< T > &

x

)

Sine.

Definition at line 111 of file TpsMath.h.

References cos(), Tps< T >::getTruncOrder(), sin(), and Tps< T >::Taylor().

Referenced by cos(), csc(), RBendGeometry::getArcLength(), GlobalFunctions::_sin::operator()(), sin(), sinti(), and tan().

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sinh()

template<class T >

Tps< T > sinh

(

const Tps< T > &

x

)

Hyperbolic sine.

Definition at line 204 of file TpsMath.h.

References cosh(), Tps< T >::getTruncOrder(), sinh(), and Tps< T >::Taylor().

Referenced by cosh(), sinh(), and tanh().

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sqrt()

template<class T >

Tps< T > sqrt

(

const Tps< T > &

x

)

Square root.

Definition at line 91 of file TpsMath.h.

References Tps< T >::getTruncOrder(), sqrt(), and Tps< T >::Taylor().

Referenced by Hamiltonian::bendFringe(), SpecializedGreensFunction< 3 >::calculate(), P3MGreensFunction< 3 >::calculate(), Hamiltonian::drift(), FFTBoxPoissonSolver::integratedGreensFunction(), GlobalFunctions::_sqrt::operator()(), Hamiltonian::quadrupole(), Hamiltonian::rbend(), Hamiltonian::sbend(), OrbitThreader::setDesignEnergy(), FFTBoxPoissonSolver::shiftedIntGreensFunction(), sqrt(), and Werrf().

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tan()

template<class T >

Tps< T > tan

(

const Tps< T > &

x

)

Tangent.

Definition at line 147 of file TpsMath.h.

References cos(), and sin().

Referenced by RBendGeometry::getEntrancePatch(), RBendGeometry::getExitPatch(), and GlobalFunctions::_tan::operator()().

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tanh()

template<class T >

Tps< T > tanh

(

const Tps< T > &

x

)

Hyperbolic tangent.

Definition at line 240 of file TpsMath.h.

References cosh(), and sinh().

Referenced by OpalVariableRFCavityFringeField::update().

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