src/ComplexMath.cpp File Reference

Elementary complex mathematical functions. More...

#include "ComplexNumber.h"
#include "ComplexMath.h"
#include "MathExceptions.h"
#include "Namespace.h"
#include <cmath>
#include <vector>

Go to the source code of this file.

Namespaces
namespace	math
	Math namespace.
namespace	complex
	Complex namespace.
Defines
#define	COMPLEX_MATH_CPP
Functions
template<class T >
T	abs (const ComplexNumber< T > &z)
template<class T >
T	abs2 (const ComplexNumber< T > &z)
template<class T >
T	arg (const ComplexNumber< T > &z)
template<class T >
T	logabs (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	conjugate (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	exp (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	inverse (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	log (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	log (const T &x)
template<class T >
ComplexNumber< T >	log10 (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	log10 (const T &x)
template<class T >
ComplexNumber< T >	logb (const ComplexNumber< T > &z, const ComplexNumber< T > &b)
template<class T >
ComplexNumber< T >	logb (const ComplexNumber< T > &z, const T &b)
template<class T >
ComplexNumber< T >	logb (const T &x, const ComplexNumber< T > &b)
template<class T >
ComplexNumber< T >	logb (const T &x, const T &b)
template<class T >
ComplexNumber< T >	pow (const ComplexNumber< T > &a, const ComplexNumber< T > &b)
template<class T >
ComplexNumber< T >	pow (const ComplexNumber< T > &a, const T &b)
template<class T >
ComplexNumber< T >	pow (const T &a, const ComplexNumber< T > &b)
template<class T >
ComplexNumber< T >	sqrt (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	sqrt (const T &x)
template<class T >
ComplexNumber< T >	cbrt (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	nthRoot (const ComplexNumber< T > &z, const int n)
template<class T >
std::vector< ComplexNumber< T > >	nthRoots (const ComplexNumber< T > &z, const int n)
template<class T >
void	nthRoots (const ComplexNumber< T > &z, std::vector< ComplexNumber< T > > &roots, const int n)
template<class T >
ComplexNumber< T >	sin (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	cos (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	tan (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	csc (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	sec (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	cot (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asin (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asin (const T &x)
template<class T >
ComplexNumber< T >	acos (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acos (const T &x)
template<class T >
ComplexNumber< T >	atan (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	atan (const T &x)
template<class T >
ComplexNumber< T >	acsc (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acsc (const T &x)
template<class T >
ComplexNumber< T >	asec (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asec (const T &x)
template<class T >
ComplexNumber< T >	acot (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acot (const T &x)
template<class T >
ComplexNumber< T >	sinh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	cosh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	tanh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	csch (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	sech (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	coth (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asinh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asinh (const T &x)
template<class T >
ComplexNumber< T >	acosh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acosh (const T &x)
template<class T >
ComplexNumber< T >	atanh (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	atanh (const T &x)
template<class T >
ComplexNumber< T >	acsch (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acsch (const T &x)
template<class T >
ComplexNumber< T >	asech (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	asech (const T &x)
template<class T >
ComplexNumber< T >	acoth (const ComplexNumber< T > &z)
template<class T >
ComplexNumber< T >	acoth (const T &x)

---

Detailed Description

Elementary complex mathematical functions.

Author:

Matthew Krupcale

Version:

0.1.2

Date:

2010

This file contains the implementations for elementary complex mathematical functions

Definition in file ComplexMath.cpp.

---

Define Documentation

#define COMPLEX_MATH_CPP

Definition at line 25 of file ComplexMath.cpp.

---

Function Documentation

template<class T >

T abs

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 73 of file ComplexMath.cpp.

template<class T >

T abs2

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 80 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acos

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 361 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acos

(

const T &

x

)

[related]

Definition at line 371 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acosh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 497 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acosh

(

const T &

x

)

[related]

Definition at line 507 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acot

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 426 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acot

(

const T &

x

)

[related]

Definition at line 432 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acoth

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 569 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acoth

(

const T &

x

)

[related]

Definition at line 575 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acsc

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 402 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acsc

(

const T &

x

)

[related]

Definition at line 408 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acsch

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 541 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> acsch

(

const T &

x

)

[related]

Definition at line 547 of file ComplexMath.cpp.

template<class T >

T arg

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 87 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asec

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 414 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asec

(

const T &

x

)

[related]

Definition at line 420 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asech

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 553 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asech

(

const T &

x

)

[related]

Definition at line 559 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asin

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 336 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asin

(

const T &

x

)

[related]

Definition at line 347 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asinh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 481 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> asinh

(

const T &

x

)

[related]

Definition at line 491 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> atan

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 385 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> atan

(

const T &

x

)

[related]

Definition at line 396 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> atanh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 521 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> atanh

(

const T &

x

)

[related]

Definition at line 531 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> cbrt

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 242 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> conjugate

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 105 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> cos

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 300 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> cosh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 445 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> cot

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 330 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> coth

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 475 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> csc

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 318 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> csch

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 463 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> exp

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 111 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> inverse

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 118 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> log

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 128 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> log

(

const T &

x

)

[related]

Definition at line 137 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> log10

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 146 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> log10

(

const T &

x

)

[related]

Definition at line 152 of file ComplexMath.cpp.

template<class T >

T logabs

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 96 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> logb	(	const ComplexNumber< T > &	z,
		const ComplexNumber< T > &	b
	)		[related]

Definition at line 162 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> logb	(	const ComplexNumber< T > &	z,
		const T &	b
	)		[related]

Definition at line 168 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> logb	(	const T &	x,
		const ComplexNumber< T > &	b
	)		[related]

Definition at line 174 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> logb	(	const T &	x,
		const T &	b
	)		[related]

Definition at line 180 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> nthRoot	(	const ComplexNumber< T > &	z,
		const int	n
	)		[related]

Definition at line 253 of file ComplexMath.cpp.

template<class T >

std::vector<ComplexNumber<T> > nthRoots	(	const ComplexNumber< T > &	z,
		const int	n
	)		[related]

Definition at line 267 of file ComplexMath.cpp.

template<class T >

void nthRoots	(	const ComplexNumber< T > &	z,
		std::vector< ComplexNumber< T > > &	roots,
		const int	n
	)

Definition at line 275 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> pow	(	const ComplexNumber< T > &	a,
		const ComplexNumber< T > &	b
	)		[related]

Definition at line 186 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> pow	(	const ComplexNumber< T > &	a,
		const T &	b
	)		[related]

Definition at line 199 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> pow	(	const T &	a,
		const ComplexNumber< T > &	b
	)		[related]

Definition at line 208 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sec

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 324 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sech

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 469 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sin

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 293 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sinh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 438 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sqrt

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 221 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> sqrt

(

const T &

x

)

[related]

Definition at line 232 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> tan

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 307 of file ComplexMath.cpp.

template<class T >

ComplexNumber<T> tanh

(

const ComplexNumber< T > &

z

)

[related]

Definition at line 452 of file ComplexMath.cpp.