117 lines
2.8 KiB
Modula-2
117 lines
2.8 KiB
Modula-2
DEFINITION MODULE Mathlib;
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(*
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Module: Mathematical functions
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Author: Ceriel J.H. Jacobs
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Version: $Header$
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*)
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(* Some mathematical constants: *)
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CONST
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(* From: Computer Approximations
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Hart, Cheney, e.a.
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The SIAM Series in Applied Mathematics
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John Wiley & Sons, INC. New York London Sydney, 1968
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*)
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pi = 3.14159265358979323846264338327950288;
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twicepi = 6.28318530717958647692528676655900576;
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halfpi = 1.57079632679489661923132169163975144;
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quartpi = 0.78539816339744830961566084581987572;
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e = 2.71828182845904523536028747135266250;
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ln2 = 0.69314718055994530941723212145817657;
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ln10 = 2.30258509299404568401799145468436421;
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longpi = 3.14159265358979323846264338327950288D;
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longtwicepi = 6.28318530717958647692528676655900576D;
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longhalfpi = 1.57079632679489661923132169163975144D;
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longquartpi = 0.78539816339744830961566084581987572D;
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longe = 2.71828182845904523536028747135266250D;
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longln2 = 0.69314718055994530941723212145817657D;
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longln10 = 2.30258509299404568401799145468436421D;
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(* basic functions *)
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PROCEDURE pow(x: REAL; i: INTEGER): REAL;
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PROCEDURE longpow(x: LONGREAL; i: INTEGER): LONGREAL;
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PROCEDURE sqrt(x: REAL): REAL;
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PROCEDURE longsqrt(x: LONGREAL): LONGREAL;
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PROCEDURE exp(x: REAL): REAL;
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PROCEDURE longexp(x: LONGREAL): LONGREAL;
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PROCEDURE ln(x: REAL): REAL; (* natural log *)
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PROCEDURE longln(x: LONGREAL): LONGREAL; (* natural log *)
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PROCEDURE log(x: REAL): REAL; (* log with base 10 *)
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PROCEDURE longlog(x: LONGREAL): LONGREAL; (* log with base 10 *)
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(* trigonometric functions; arguments in radians *)
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PROCEDURE sin(x: REAL): REAL;
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PROCEDURE longsin(x: LONGREAL): LONGREAL;
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PROCEDURE cos(x: REAL): REAL;
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PROCEDURE longcos(x: LONGREAL): LONGREAL;
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PROCEDURE tan(x: REAL): REAL;
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PROCEDURE longtan(x: LONGREAL): LONGREAL;
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PROCEDURE arcsin(x: REAL): REAL;
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PROCEDURE longarcsin(x: LONGREAL): LONGREAL;
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PROCEDURE arccos(x: REAL): REAL;
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PROCEDURE longarccos(x: LONGREAL): LONGREAL;
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PROCEDURE arctan(x: REAL): REAL;
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PROCEDURE longarctan(x: LONGREAL): LONGREAL;
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(* hyperbolic functions *)
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PROCEDURE sinh(x: REAL): REAL;
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PROCEDURE longsinh(x: LONGREAL): LONGREAL;
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PROCEDURE cosh(x: REAL): REAL;
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PROCEDURE longcosh(x: LONGREAL): LONGREAL;
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PROCEDURE tanh(x: REAL): REAL;
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PROCEDURE longtanh(x: LONGREAL): LONGREAL;
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PROCEDURE arcsinh(x: REAL): REAL;
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PROCEDURE longarcsinh(x: LONGREAL): LONGREAL;
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PROCEDURE arccosh(x: REAL): REAL;
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PROCEDURE longarccosh(x: LONGREAL): LONGREAL;
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PROCEDURE arctanh(x: REAL): REAL;
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PROCEDURE longarctanh(x: LONGREAL): LONGREAL;
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(* conversions *)
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PROCEDURE RadianToDegree(x: REAL): REAL;
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PROCEDURE longRadianToDegree(x: LONGREAL): LONGREAL;
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PROCEDURE DegreeToRadian(x: REAL): REAL;
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PROCEDURE longDegreeToRadian(x: LONGREAL): LONGREAL;
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END Mathlib.
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