Module Gsl.Gsl_complex

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
external logabs : complex ‑> float = "ml_gsl_complex_logabs"
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
external sqrt : complex ‑> complex = "ml_gsl_complex_sqrt"
external sqrt_real : float ‑> complex = "ml_gsl_complex_sqrt_real"
external pow : complex ‑> complex ‑> complex = "ml_gsl_complex_pow"
external pow_real : complex ‑> float ‑> complex = "ml_gsl_complex_pow_real"
external exp : complex ‑> complex = "ml_gsl_complex_exp"
external log : complex ‑> complex = "ml_gsl_complex_log"
external log10 : complex ‑> complex = "ml_gsl_complex_log10"
external log_b : complex ‑> complex ‑> complex = "ml_gsl_complex_log_b"
Complex trigonometric functions
external sin : complex ‑> complex = "ml_gsl_complex_sin"
external cos : complex ‑> complex = "ml_gsl_complex_cos"
external tan : complex ‑> complex = "ml_gsl_complex_tan"
external sec : complex ‑> complex = "ml_gsl_complex_sec"
external csc : complex ‑> complex = "ml_gsl_complex_csc"
external cot : complex ‑> complex = "ml_gsl_complex_cot"
Inverse complex trigonometric functions
external arcsin : complex ‑> complex = "ml_gsl_complex_arcsin"
external arcsin_real : float ‑> complex = "ml_gsl_complex_arcsin_real"
external arccos : complex ‑> complex = "ml_gsl_complex_arccos"
external arccos_real : float ‑> complex = "ml_gsl_complex_arccos_real"
external arctan : complex ‑> complex = "ml_gsl_complex_arctan"
external arcsec : complex ‑> complex = "ml_gsl_complex_arcsec"
external arcsec_real : float ‑> complex = "ml_gsl_complex_arcsec_real"
external arccsc : complex ‑> complex = "ml_gsl_complex_arccsc"
external arccsc_real : float ‑> complex = "ml_gsl_complex_arccsc_real"
external arccot : complex ‑> complex = "ml_gsl_complex_arccot"
Complex hyperbolic functions
external sinh : complex ‑> complex = "ml_gsl_complex_sinh"
external cosh : complex ‑> complex = "ml_gsl_complex_cosh"
external tanh : complex ‑> complex = "ml_gsl_complex_tanh"
external sech : complex ‑> complex = "ml_gsl_complex_sech"
external csch : complex ‑> complex = "ml_gsl_complex_csch"
external coth : complex ‑> complex = "ml_gsl_complex_coth"
Inverse complex hyperbolic functions
external arcsinh : complex ‑> complex = "ml_gsl_complex_arcsinh"
external arccosh : complex ‑> complex = "ml_gsl_complex_arccosh"
external arccosh_real : float ‑> complex = "ml_gsl_complex_arccosh_real"
external arctanh : complex ‑> complex = "ml_gsl_complex_arctanh"
external arctanh_real : float ‑> complex = "ml_gsl_complex_arctanh_real"
external arcsech : complex ‑> complex = "ml_gsl_complex_arcsech"
external arccsch : complex ‑> complex = "ml_gsl_complex_arccsch"
external arccoth : complex ‑> complex = "ml_gsl_complex_arccoth"