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| 1eee94d3 GM |
1 | (* ShortComplexMath.def provides access to the ShortComplex intrincics. |
| 2 | ||
| 83ffe9cd | 3 | Copyright (C) 2010-2023 Free Software Foundation, Inc. |
| 1eee94d3 GM |
4 | Contributed by Gaius Mulley <gaius.mulley@southwales.ac.uk>. |
| 5 | ||
| 6 | This file is part of GNU Modula-2. | |
| 7 | ||
| 8 | GNU Modula-2 is free software; you can redistribute it and/or modify | |
| 9 | it under the terms of the GNU General Public License as published by | |
| 10 | the Free Software Foundation; either version 3, or (at your option) | |
| 11 | any later version. | |
| 12 | ||
| 13 | GNU Modula-2 is distributed in the hope that it will be useful, but | |
| 14 | WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 16 | General Public License for more details. | |
| 17 | ||
| 18 | Under Section 7 of GPL version 3, you are granted additional | |
| 19 | permissions described in the GCC Runtime Library Exception, version | |
| 20 | 3.1, as published by the Free Software Foundation. | |
| 21 | ||
| 22 | You should have received a copy of the GNU General Public License and | |
| 23 | a copy of the GCC Runtime Library Exception along with this program; | |
| 24 | see the files COPYING3 and COPYING.RUNTIME respectively. If not, see | |
| 25 | <http://www.gnu.org/licenses/>. *) | |
| 26 | ||
| 27 | DEFINITION MODULE ShortComplexMath; | |
| 28 | ||
| 29 | (* Mathematical functions for the type SHORTCOMPLEX *) | |
| 30 | ||
| 31 | CONST | |
| 32 | i = CMPLX (0.0, 1.0); | |
| 33 | one = CMPLX (1.0, 0.0); | |
| 34 | zero = CMPLX (0.0, 0.0); | |
| 35 | ||
| 36 | PROCEDURE abs (z: SHORTCOMPLEX): SHORTREAL; | |
| 37 | (* Returns the length of z *) | |
| 38 | ||
| 39 | PROCEDURE arg (z: SHORTCOMPLEX): SHORTREAL; | |
| 40 | (* Returns the angle that z subtends to the positive real axis *) | |
| 41 | ||
| 42 | PROCEDURE conj (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 43 | (* Returns the complex conjugate of z *) | |
| 44 | ||
| 45 | PROCEDURE power (base: SHORTCOMPLEX; exponent: SHORTREAL): SHORTCOMPLEX; | |
| 46 | (* Returns the value of the number base raised to the power exponent *) | |
| 47 | ||
| 48 | PROCEDURE sqrt (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 49 | (* Returns the principal square root of z *) | |
| 50 | ||
| 51 | PROCEDURE exp (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 52 | (* Returns the complex exponential of z *) | |
| 53 | ||
| 54 | PROCEDURE ln (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 55 | (* Returns the principal value of the natural logarithm of z *) | |
| 56 | ||
| 57 | PROCEDURE sin (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 58 | (* Returns the sine of z *) | |
| 59 | ||
| 60 | PROCEDURE cos (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 61 | (* Returns the cosine of z *) | |
| 62 | ||
| 63 | PROCEDURE tan (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 64 | (* Returns the tangent of z *) | |
| 65 | ||
| 66 | PROCEDURE arcsin (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 67 | (* Returns the arcsine of z *) | |
| 68 | ||
| 69 | PROCEDURE arccos (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 70 | (* Returns the arccosine of z *) | |
| 71 | ||
| 72 | PROCEDURE arctan (z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 73 | (* Returns the arctangent of z *) | |
| 74 | ||
| 75 | PROCEDURE polarToComplex (abs, arg: SHORTREAL): SHORTCOMPLEX; | |
| 76 | (* Returns the complex number with the specified polar coordinates *) | |
| 77 | ||
| 78 | PROCEDURE scalarMult (scalar: SHORTREAL; z: SHORTCOMPLEX): SHORTCOMPLEX; | |
| 79 | (* Returns the scalar product of scalar with z *) | |
| 80 | ||
| 81 | PROCEDURE IsCMathException (): BOOLEAN; | |
| 82 | (* Returns TRUE if the current coroutine is in the exceptional execution state | |
| 83 | because of the raising of an exception in a routine from this module; otherwise | |
| 84 | returns FALSE. | |
| 85 | *) | |
| 86 | ||
| 87 | END ShortComplexMath. | |
| 88 |