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73 lines
2.3 KiB
Mathematica
73 lines
2.3 KiB
Mathematica
%-----------------------------------------------------------------------------%
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% vim: ft=mercury ts=4 sw=4 et
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%-----------------------------------------------------------------------------%
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% Copyright (C) 1997-1998,2001, 2004-2006 The University of Melbourne.
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% Copyright (C) 2015, 2018 The Mercury team.
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% This file is distributed under the terms specified in COPYING.LIB.
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%-----------------------------------------------------------------------------%
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%
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% File: float_complex.m.
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% Main author: fjh.
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% Stability: medium.
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%
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% This module provides binary operators on (float, complex).
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%
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% See also: complex.m, float.m, complex_float.m.
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%
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%-----------------------------------------------------------------------------%
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:- module complex_numbers.float_complex.
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:- interface.
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:- import_module complex_numbers.complex.
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:- import_module float.
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%-----------------------------------------------------------------------------%
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% Addition.
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%
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:- func float + complex = complex.
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:- mode in + in = uo is det.
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% Subtraction.
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%
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:- func float - complex = complex.
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:- mode in - in = uo is det.
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% Multiplication.
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%
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:- func float * complex = complex.
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:- mode in * in = uo is det.
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% Division.
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%
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:- func float / complex = complex.
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:- mode in / in = uo is det.
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%-----------------------------------------------------------------------------%
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%-----------------------------------------------------------------------------%
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:- implementation.
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:- import_module complex_numbers.complex_float.
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%-----------------------------------------------------------------------------%
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XR + cmplx(YR, YI) = cmplx(XR + YR, + YI).
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XR - cmplx(YR, YI) = cmplx(XR - YR, - YI).
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XR * cmplx(YR, YI) = cmplx(XR * YR, XR * YI).
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XR / cmplx(YR, YI) = cmplx(XR * YR / Div, - XR * YI / Div) :-
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Div = YR * YR + YI * YI.
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%-----------------------------------------------------------------------------%
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%-----------------------------------------------------------------------------%
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% Division of float / complex formula obtained by simplifying this one:
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% cmplx(Xr, Xi) / cmplx(Yr, Yi) =
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% cmplx((Xr * Yr + Xi * Yi) / Div, (Xi * Yr - Xr * Yi) / Div) :-
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% Div = (Yr * Yr + Yi * Yi).
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%-----------------------------------------------------------------------------%
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:- end_module complex_numbers.float_complex.
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%-----------------------------------------------------------------------------%
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