1987-05-27 10:05:01 +00:00
|
|
|
DEFINITION MODULE Mathlib;
|
1988-02-19 15:54:01 +00:00
|
|
|
(*
|
|
|
|
Module: Mathematical functions
|
|
|
|
Author: Ceriel J.H. Jacobs
|
|
|
|
Version: $Header$
|
|
|
|
*)
|
1987-05-27 10:05:01 +00:00
|
|
|
|
|
|
|
(* Some mathematical constants: *)
|
|
|
|
|
|
|
|
CONST
|
|
|
|
(* From: Handbook of Mathematical Functions
|
|
|
|
Edited by M. Abramowitz and I.A. Stegun
|
|
|
|
National Bureau of Standards
|
|
|
|
Applied Mathematics Series 55
|
|
|
|
*)
|
|
|
|
|
|
|
|
pi = 3.141592653589793238462643;
|
|
|
|
twicepi = 6.283185307179586476925286;
|
|
|
|
halfpi = 1.570796326794896619231322;
|
|
|
|
quartpi = 0.785398163397448309615661;
|
|
|
|
e = 2.718281828459045235360287;
|
|
|
|
ln2 = 0.693147180559945309417232;
|
|
|
|
ln10 = 2.302585092994045684017992;
|
|
|
|
|
|
|
|
(* basic functions *)
|
|
|
|
|
|
|
|
PROCEDURE pow(x: REAL; i: INTEGER): REAL;
|
|
|
|
|
|
|
|
PROCEDURE sqrt(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE exp(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE ln(x: REAL): REAL; (* natural log *)
|
|
|
|
|
|
|
|
PROCEDURE log(x: REAL): REAL; (* log with base 10 *)
|
|
|
|
|
|
|
|
(* trigonometric functions; arguments in radians *)
|
|
|
|
|
|
|
|
PROCEDURE sin(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE cos(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE tan(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arcsin(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arccos(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arctan(x: REAL): REAL;
|
|
|
|
|
|
|
|
(* hyperbolic functions *)
|
|
|
|
|
|
|
|
PROCEDURE sinh(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE cosh(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE tanh(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arcsinh(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arccosh(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE arctanh(x: REAL): REAL;
|
|
|
|
|
|
|
|
(* conversions *)
|
|
|
|
|
|
|
|
PROCEDURE RadianToDegree(x: REAL): REAL;
|
|
|
|
|
|
|
|
PROCEDURE DegreeToRadian(x: REAL): REAL;
|
|
|
|
|
|
|
|
END Mathlib.
|