liba 0.1.15
An algorithm library based on C/C++
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complex number More...
#include "a.h"
Go to the source code of this file.
Data Structures | |
struct | a_complex |
instance structure for complex number More... | |
Macros | |
#define | A_COMPLEX_PRI(RF, RC, IF, IC) |
#define | A_COMPLEX_C(R, I) |
#define | a_complex_c(r, i) |
Typedefs | |
typedef struct a_complex | a_complex |
instance structure for complex number | |
Functions | |
static void | a_complex_rect (a_complex *ctx, double real, double imag) |
constructs a complex number from real and imaginary parts | |
void | a_complex_polar (a_complex *ctx, double rho, double 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 | |
bool | a_complex_eq (a_complex x, a_complex y) |
complex number x is equal to complex number y | |
bool | a_complex_ne (a_complex x, a_complex y) |
complex number x is not equal to complex number y | |
double | a_complex_logabs (a_complex z) |
computes the natural logarithm of magnitude of a complex number | |
double | a_complex_abs2 (a_complex z) |
computes the squared magnitude of a complex number | |
double | a_complex_abs (a_complex z) |
computes the magnitude of a complex number | |
double | 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, double y) |
void | a_complex_add_real_ (a_complex *ctx, double x) |
void | a_complex_add_imag (a_complex *ctx, a_complex x, double y) |
void | a_complex_add_imag_ (a_complex *ctx, double 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, double y) |
void | a_complex_sub_real_ (a_complex *ctx, double x) |
void | a_complex_sub_imag (a_complex *ctx, a_complex x, double y) |
void | a_complex_sub_imag_ (a_complex *ctx, double 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, double y) |
void | a_complex_mul_real_ (a_complex *ctx, double x) |
void | a_complex_mul_imag (a_complex *ctx, a_complex x, double y) |
void | a_complex_mul_imag_ (a_complex *ctx, double 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, double y) |
void | a_complex_div_real_ (a_complex *ctx, double x) |
void | a_complex_div_imag (a_complex *ctx, a_complex x, double y) |
void | a_complex_div_imag_ (a_complex *ctx, double 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, double 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, double a) |
complex number z raised to real power a | |
void | a_complex_pow_real_ (a_complex *ctx, double 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, double 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, double 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, double 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, double 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, double 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, double 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) |
complex number