SDTComplex.h: Handling complex numbers

Data Structures
struct	SDTComplex
	Data structure containing the real and imaginary part of a complex number. More...

Typedefs
typedef struct SDTComplex	SDTComplex
	Data structure containing the real and imaginary part of a complex number.
typedef struct SDTComplex	SDTComplex
	Data structure containing the real and imaginary part of a complex number.

Functions
SDTComplex	SDTComplex_car (double real, double imag)
	Returns a complex number with the given real and imaginary parts. More...
SDTComplex	SDTComplex_exp (double phase)
	Returns a complex exponential with base e and given phase. More...
double	SDTComplex_abs (SDTComplex a)
	Returns the absolute value (magnitude) of a complex number. More...
double	SDTComplex_angle (SDTComplex a)
	Returns the angle (phase) of a complex number. More...
SDTComplex	SDTComplex_conj (SDTComplex a)
	Returns the complex conjugate of a complex number. More...
SDTComplex	SDTComplex_add (SDTComplex a, SDTComplex b)
	Returns the sum of two complex numbers. More...
SDTComplex	SDTComplex_sub (SDTComplex a, SDTComplex b)
	Returns the difference of two complex numbers. More...
SDTComplex	SDTComplex_mult (SDTComplex a, SDTComplex b)
	Returns the multiplication between two complex numbers. More...
SDTComplex	SDTComplex_div (SDTComplex a, SDTComplex b)
	Returns the division between two complex numbers. More...
SDTComplex	SDTComplex_addReal (SDTComplex a, double b)
	Returns the sum of a complex number and a real number. More...
SDTComplex	SDTComplex_subReal (SDTComplex a, double b)
	Returns the difference of a complex number and a real number. More...
SDTComplex	SDTComplex_realSub (double a, SDTComplex b)
	Returns the difference of a real number and a complex number. More...
SDTComplex	SDTComplex_multReal (SDTComplex a, double b)
	Returns the multiplication between a complex number and a real number. More...
SDTComplex	SDTComplex_divReal (SDTComplex a, double b)
	Returns the division between a complex number and a real number. More...
SDTComplex	SDTComplex_realDiv (double a, SDTComplex b)
	Returns the division between a real number and a complex number. More...

Detailed Description

This module contains data structures and functions to perform basic operations with complex numbers.

Function Documentation

double SDTComplex_abs

(

SDTComplex

a

)

Returns the absolute value (magnitude) of a complex number.

Parameters

[in]

a

Input value

Returns

Absolute value of input

SDTComplex SDTComplex_add	(	SDTComplex	a,
		SDTComplex	b
	)

Returns the sum of two complex numbers.

Parameters

[in]	a	First operand
[in]	b	Second operand

Returns

a plus b

SDTComplex SDTComplex_addReal	(	SDTComplex	a,
		double	b
	)

Returns the sum of a complex number and a real number.

Parameters

[in]	a	Complex operand
[in]	b	Real operand

Returns

a plus b

double SDTComplex_angle

(

SDTComplex

a

)

Returns the angle (phase) of a complex number.

Parameters

[in]

a

Input value

Returns

Angle of input

SDTComplex SDTComplex_car	(	double	real,
		double	imag
	)

Returns a complex number with the given real and imaginary parts.

Parameters

[in]	real	Real part
[in]	imag	Imaginary part

Returns

Complex number

SDTComplex SDTComplex_conj

(

SDTComplex

a

)

Returns the complex conjugate of a complex number.

Parameters

[in]

a

Input value

Returns

Complex conjugate of input

SDTComplex SDTComplex_div	(	SDTComplex	a,
		SDTComplex	b
	)

Returns the division between two complex numbers.

Parameters

[in]	a	First operand
[in]	b	Second operand

Returns

a divided by b

SDTComplex SDTComplex_divReal	(	SDTComplex	a,
		double	b
	)

Returns the division between a complex number and a real number.

Parameters

[in]	a	Complex operand
[in]	b	Real operand

Returns

a divided by b

SDTComplex SDTComplex_exp

(

double

phase

)

Returns a complex exponential with base e and given phase.

Parameters

[in]

phase

Phase

Returns

Complex exponential

SDTComplex SDTComplex_mult	(	SDTComplex	a,
		SDTComplex	b
	)

Returns the multiplication between two complex numbers.

Parameters

[in]	a	First operand
[in]	b	Second operand

Returns

a times b

SDTComplex SDTComplex_multReal	(	SDTComplex	a,
		double	b
	)

Returns the multiplication between a complex number and a real number.

Parameters

[in]	a	Complex operand
[in]	b	Real operand

Returns

a times b

SDTComplex SDTComplex_realDiv	(	double	a,
		SDTComplex	b
	)

Returns the division between a real number and a complex number.

Parameters

[in]	a	Real operand
[in]	b	Complex operand

Returns

a divided by b

SDTComplex SDTComplex_realSub	(	double	a,
		SDTComplex	b
	)

Returns the difference of a real number and a complex number.

Parameters

[in]	a	Real operand
[in]	b	Complex operand

Returns

a minus b

SDTComplex SDTComplex_sub	(	SDTComplex	a,
		SDTComplex	b
	)

Returns the difference of two complex numbers.

Parameters

[in]	a	First operand
[in]	b	Second operand

Returns

a minus b

SDTComplex SDTComplex_subReal	(	SDTComplex	a,
		double	b
	)

Returns the difference of a complex number and a real number.

Parameters

[in]	a	Complex operand
[in]	b	Real operand

Returns

a minus b