gsl 1.24.0 · OCaml Package

Complex arithmetic and simple functions

type complex = Complex.t = {

re : float;
im : float;

}

val complex : re:float -> im:float -> complex

type complex_array = float array

val set : complex_array -> int -> complex -> unit

val get : complex_array -> int -> complex

val unpack : complex_array -> complex array

val pack : complex array -> complex_array

val mult : complex_array -> complex_array -> unit

val rect : float -> float -> complex

val polar : float -> float -> complex

Properties of complex numbers

val arg : complex -> float

val abs : complex -> float

val abs2 : complex -> float

val logabs : complex -> float

Complex arithmetic operators

val add : complex -> complex -> complex

val sub : complex -> complex -> complex

val mul : complex -> complex -> complex

val div : complex -> complex -> complex

val add_real : complex -> float -> complex

val sub_real : complex -> float -> complex

val mul_real : complex -> float -> complex

val div_real : complex -> float -> complex

val add_imag : complex -> float -> complex

val sub_imag : complex -> float -> complex

val mul_imag : complex -> float -> complex

val div_imag : complex -> float -> complex

val conjugate : complex -> complex

val inverse : complex -> complex

val negative : complex -> complex

Elementary complex functions

val sqrt : complex -> complex

val sqrt_real : float -> complex

val pow : complex -> complex -> complex

val pow_real : complex -> float -> complex

val exp : complex -> complex

val log : complex -> complex

val log10 : complex -> complex

val log_b : complex -> complex -> complex

Complex trigonometric functions

val sin : complex -> complex

val cos : complex -> complex

val tan : complex -> complex

val sec : complex -> complex

val csc : complex -> complex

val cot : complex -> complex

Inverse complex trigonometric functions

val arcsin : complex -> complex

val arcsin_real : float -> complex

val arccos : complex -> complex

val arccos_real : float -> complex

val arctan : complex -> complex

val arcsec : complex -> complex

val arcsec_real : float -> complex

val arccsc : complex -> complex

val arccsc_real : float -> complex

val arccot : complex -> complex

Complex hyperbolic functions

val sinh : complex -> complex

val cosh : complex -> complex

val tanh : complex -> complex

val sech : complex -> complex

val csch : complex -> complex

val coth : complex -> complex

Inverse complex hyperbolic functions

val arcsinh : complex -> complex

val arccosh : complex -> complex

val arccosh_real : float -> complex

val arctanh : complex -> complex

val arctanh_real : float -> complex

val arcsech : complex -> complex

val arccsch : complex -> complex

val arccoth : complex -> complex

package gsl