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(* ShortComplexMath.def provides access to the ShortComplex intrincics.
Copyright (C) 2010-2025 Free Software Foundation, Inc.
Contributed by Gaius Mulley <gaius.mulley@southwales.ac.uk>.
This file is part of GNU Modula-2.
GNU Modula-2 is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3, or (at your option)
any later version.
GNU Modula-2 is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.
Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.
You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
<http://www.gnu.org/licenses/>. *)
DEFINITION MODULE ShortComplexMath;
(* Mathematical functions for the type SHORTCOMPLEX *)
CONST
i = CMPLX (0.0, 1.0);
one = CMPLX (1.0, 0.0);
zero = CMPLX (0.0, 0.0);
PROCEDURE abs (z: SHORTCOMPLEX): SHORTREAL;
(* Returns the length of z *)
PROCEDURE arg (z: SHORTCOMPLEX): SHORTREAL;
(* Returns the angle that z subtends to the positive real axis *)
PROCEDURE conj (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the complex conjugate of z *)
PROCEDURE power (base: SHORTCOMPLEX; exponent: SHORTREAL): SHORTCOMPLEX;
(* Returns the value of the number base raised to the power exponent *)
PROCEDURE sqrt (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the principal square root of z *)
PROCEDURE exp (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the complex exponential of z *)
PROCEDURE ln (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the principal value of the natural logarithm of z *)
PROCEDURE sin (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the sine of z *)
PROCEDURE cos (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the cosine of z *)
PROCEDURE tan (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the tangent of z *)
PROCEDURE arcsin (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the arcsine of z *)
PROCEDURE arccos (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the arccosine of z *)
PROCEDURE arctan (z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the arctangent of z *)
PROCEDURE polarToComplex (abs, arg: SHORTREAL): SHORTCOMPLEX;
(* Returns the complex number with the specified polar coordinates *)
PROCEDURE scalarMult (scalar: SHORTREAL; z: SHORTCOMPLEX): SHORTCOMPLEX;
(* Returns the scalar product of scalar with z *)
PROCEDURE IsCMathException (): BOOLEAN;
(* Returns TRUE if the current coroutine is in the exceptional execution state
because of the raising of an exception in a routine from this module; otherwise
returns FALSE.
*)
END ShortComplexMath.
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