complex number More...

#include "a.h"

Include dependency graph for complex.h:

Data Structures
struct	a_complex
	instance structure for complex number More...

Macros
#define	A_COMPLEX_C(real, imag)

#define	a_complex_c(x)

#define	a_complex_(_, x)

Typedefs
typedef struct a_complex	a_complex
	instance structure for complex number

Functions
static void	a_complex_rect (a_complex *ctx, a_float real, a_float imag)
	constructs a complex number from real and imaginary parts

void	a_complex_polar (a_complex *ctx, a_float rho, a_float theta)
	constructs a complex number from polar form

unsigned int	a_complex_parse (a_complex ctx, char const str)
	parse a string into a complex number

a_bool	a_complex_eq (a_complex x, a_complex y)
	complex number x is equal to complex number y

a_bool	a_complex_ne (a_complex x, a_complex y)
	complex number x is not equal to complex number y

a_float	a_complex_logabs (a_complex z)
	computes the natural logarithm of magnitude of a complex number

a_float	a_complex_abs2 (a_complex z)
	computes the squared magnitude of a complex number

a_float	a_complex_abs (a_complex z)
	computes the magnitude of a complex number

a_float	a_complex_arg (a_complex z)
	computes the phase angle of a complex number

void	a_complex_proj (a_complex *ctx, a_complex z)
	computes the projection on Riemann sphere

void	a_complex_proj_ (a_complex *ctx)

void	a_complex_conj (a_complex *ctx, a_complex z)
	computes the complex conjugate

void	a_complex_conj_ (a_complex *ctx)

void	a_complex_neg (a_complex *ctx, a_complex z)
	computes the complex negative

void	a_complex_neg_ (a_complex *ctx)

void	a_complex_add (a_complex *ctx, a_complex x, a_complex y)
	addition of complex numbers

void	a_complex_add_ (a_complex *ctx, a_complex z)

void	a_complex_add_real (a_complex *ctx, a_complex x, a_float y)

void	a_complex_add_real_ (a_complex *ctx, a_float x)

void	a_complex_add_imag (a_complex *ctx, a_complex x, a_float y)

void	a_complex_add_imag_ (a_complex *ctx, a_float x)

void	a_complex_sub (a_complex *ctx, a_complex x, a_complex y)
	subtraction of complex numbers

void	a_complex_sub_ (a_complex *ctx, a_complex z)

void	a_complex_sub_real (a_complex *ctx, a_complex x, a_float y)

void	a_complex_sub_real_ (a_complex *ctx, a_float x)

void	a_complex_sub_imag (a_complex *ctx, a_complex x, a_float y)

void	a_complex_sub_imag_ (a_complex *ctx, a_float x)

void	a_complex_mul (a_complex *ctx, a_complex x, a_complex y)
	multiplication of complex numbers

void	a_complex_mul_ (a_complex *ctx, a_complex z)

void	a_complex_mul_real (a_complex *ctx, a_complex x, a_float y)

void	a_complex_mul_real_ (a_complex *ctx, a_float x)

void	a_complex_mul_imag (a_complex *ctx, a_complex x, a_float y)

void	a_complex_mul_imag_ (a_complex *ctx, a_float x)

void	a_complex_div (a_complex *ctx, a_complex x, a_complex y)
	division of complex numbers

void	a_complex_div_ (a_complex *ctx, a_complex z)

void	a_complex_div_real (a_complex *ctx, a_complex x, a_float y)

void	a_complex_div_real_ (a_complex *ctx, a_float x)

void	a_complex_div_imag (a_complex *ctx, a_complex x, a_float y)

void	a_complex_div_imag_ (a_complex *ctx, a_float x)

void	a_complex_inv (a_complex *ctx, a_complex z)
	inverse of a complex number

void	a_complex_inv_ (a_complex *ctx)

void	a_complex_sqrt (a_complex *ctx, a_complex z)
	computes the complex square root

void	a_complex_sqrt_ (a_complex *ctx)

void	a_complex_sqrt_real (a_complex *ctx, a_float x)

void	a_complex_pow (a_complex *ctx, a_complex z, a_complex a)
	complex number z raised to complex power a

void	a_complex_pow_ (a_complex *ctx, a_complex a)

void	a_complex_pow_real (a_complex *ctx, a_complex z, a_float a)
	complex number z raised to real power a

void	a_complex_pow_real_ (a_complex *ctx, a_float a)

void	a_complex_exp (a_complex *ctx, a_complex z)
	computes the complex base-e exponential

void	a_complex_exp_ (a_complex *ctx)

void	a_complex_log (a_complex *ctx, a_complex z)
	computes the complex natural logarithm

void	a_complex_log_ (a_complex *ctx)

void	a_complex_log2 (a_complex *ctx, a_complex z)
	computes the complex base-2 logarithm

void	a_complex_log2_ (a_complex *ctx)

void	a_complex_log10 (a_complex *ctx, a_complex z)
	computes the complex base-10 logarithm

void	a_complex_log10_ (a_complex *ctx)

void	a_complex_logb (a_complex *ctx, a_complex z, a_complex b)
	computes the complex base-b logarithm

void	a_complex_logb_ (a_complex *ctx, a_complex b)

void	a_complex_sin (a_complex *ctx, a_complex z)
	computes the complex sine

void	a_complex_sin_ (a_complex *ctx)

void	a_complex_cos (a_complex *ctx, a_complex z)
	computes the complex cosine

void	a_complex_cos_ (a_complex *ctx)

void	a_complex_tan (a_complex *ctx, a_complex z)
	computes the complex tangent

void	a_complex_tan_ (a_complex *ctx)

void	a_complex_sec (a_complex *ctx, a_complex z)
	computes the complex secant

void	a_complex_sec_ (a_complex *ctx)

void	a_complex_csc (a_complex *ctx, a_complex z)
	computes the complex cosecant

void	a_complex_csc_ (a_complex *ctx)

void	a_complex_cot (a_complex *ctx, a_complex z)
	computes the complex cotangent

void	a_complex_cot_ (a_complex *ctx)

void	a_complex_asin (a_complex *ctx, a_complex z)
	computes the complex arc sine

void	a_complex_asin_ (a_complex *ctx)

void	a_complex_asin_real (a_complex *ctx, a_float x)

void	a_complex_acos (a_complex *ctx, a_complex z)
	computes the complex arc cosine

void	a_complex_acos_ (a_complex *ctx)

void	a_complex_acos_real (a_complex *ctx, a_float x)

void	a_complex_atan (a_complex *ctx, a_complex z)
	computes the complex arc tangent

void	a_complex_atan_ (a_complex *ctx)

void	a_complex_asec (a_complex *ctx, a_complex z)
	computes the complex arc secant

void	a_complex_asec_ (a_complex *ctx)

void	a_complex_asec_real (a_complex *ctx, a_float x)

void	a_complex_acsc (a_complex *ctx, a_complex z)
	computes the complex arc cosecant

void	a_complex_acsc_ (a_complex *ctx)

void	a_complex_acsc_real (a_complex *ctx, a_float x)

void	a_complex_acot (a_complex *ctx, a_complex z)
	computes the complex arc cotangent

void	a_complex_acot_ (a_complex *ctx)

void	a_complex_sinh (a_complex *ctx, a_complex z)
	computes the complex hyperbolic sine

void	a_complex_sinh_ (a_complex *ctx)

void	a_complex_cosh (a_complex *ctx, a_complex z)
	computes the complex hyperbolic cosine

void	a_complex_cosh_ (a_complex *ctx)

void	a_complex_tanh (a_complex *ctx, a_complex z)
	computes the complex hyperbolic tangent

void	a_complex_tanh_ (a_complex *ctx)

void	a_complex_sech (a_complex *ctx, a_complex z)
	computes the complex hyperbolic secant

void	a_complex_sech_ (a_complex *ctx)

void	a_complex_csch (a_complex *ctx, a_complex z)
	computes the complex hyperbolic cosecant

void	a_complex_csch_ (a_complex *ctx)

void	a_complex_coth (a_complex *ctx, a_complex z)
	computes the complex hyperbolic cotangent

void	a_complex_coth_ (a_complex *ctx)

void	a_complex_asinh (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic sine

void	a_complex_asinh_ (a_complex *ctx)

void	a_complex_acosh (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic cosine

void	a_complex_acosh_ (a_complex *ctx)

void	a_complex_acosh_real (a_complex *ctx, a_float x)

void	a_complex_atanh (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic tangent

void	a_complex_atanh_ (a_complex *ctx)

void	a_complex_atanh_real (a_complex *ctx, a_float x)

void	a_complex_asech (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic secant

void	a_complex_asech_ (a_complex *ctx)

void	a_complex_acsch (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic cosecant

void	a_complex_acsch_ (a_complex *ctx)

void	a_complex_acoth (a_complex *ctx, a_complex z)
	computes the complex arc hyperbolic cotangent

void	a_complex_acoth_ (a_complex *ctx)

Detailed Description

complex number

Data Structures

Macros

Typedefs

Functions

Detailed Description