mirror of
https://github.com/Mercury-Language/mercury.git
synced 2026-04-18 19:03:45 +00:00
69 lines
2.2 KiB
Mathematica
69 lines
2.2 KiB
Mathematica
%-----------------------------------------------------------------------------%
|
|
% vim: ft=mercury ts=4 sw=4 et
|
|
%-----------------------------------------------------------------------------%
|
|
% Copyright (C) 1997-1998, 2001, 2004-2006 The University of Melbourne.
|
|
% Copyright (C) 2018, 2022 The Mercury team.
|
|
% This file is distributed under the terms specified in COPYING.LIB.
|
|
%-----------------------------------------------------------------------------%
|
|
%
|
|
% File: complex_imag.m.
|
|
% Main author: fjh.
|
|
% Stability: medium.
|
|
%
|
|
% This module provides binary operators on (complex, imag).
|
|
%
|
|
% See also: complex.m, imag.m, imag_complex.m.
|
|
%
|
|
%-----------------------------------------------------------------------------%
|
|
|
|
:- module complex_numbers.complex_imag.
|
|
:- interface.
|
|
|
|
:- import_module complex_numbers.complex.
|
|
:- import_module complex_numbers.imag.
|
|
|
|
%-----------------------------------------------------------------------------%
|
|
|
|
% Addition.
|
|
%
|
|
:- func complex + imag = complex.
|
|
:- mode in + in = uo is det.
|
|
|
|
% Subtraction.
|
|
%
|
|
:- func complex - imag = complex.
|
|
:- mode in - in = uo is det.
|
|
|
|
% Multiplication.
|
|
%
|
|
:- func complex * imag = complex.
|
|
:- mode in * in = uo is det.
|
|
|
|
% Division.
|
|
%
|
|
:- func complex / imag = complex.
|
|
:- mode in / in = uo is det.
|
|
|
|
%-----------------------------------------------------------------------------%
|
|
%-----------------------------------------------------------------------------%
|
|
|
|
:- implementation.
|
|
|
|
:- import_module float.
|
|
|
|
%-----------------------------------------------------------------------------%
|
|
|
|
cmplx(XR, XI) + im(YI) = cmplx(0.0 + XR, XI + YI).
|
|
cmplx(XR, XI) - im(YI) = cmplx(0.0 + XR, XI - YI).
|
|
cmplx(XR, XI) * im(YI) = cmplx(0.0 - XI * YI, 0.0 + XR * YI).
|
|
cmplx(XR, XI) / im(YI) = cmplx(0.0 + XI / YI, 0.0 - XR / YI).
|
|
|
|
% Division of complex / imag formula obtained by simplifying this one:
|
|
% cmplx(Xr, Xi) / cmplx(Yr, Yi) =
|
|
% cmplx((Xr * Yr + Xi * Yi) / Div, (Xi * Yr - Xr * Yi) / Div) :-
|
|
% Div = (Yr * Yr + Yi * Yi).
|
|
|
|
%-----------------------------------------------------------------------------%
|
|
:- end_module complex_numbers.complex_imag.
|
|
%-----------------------------------------------------------------------------%
|