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d465fa53cb
Discussion of these changes can be found on the Mercury developers
mailing list archives from June 2018.
COPYING.LIB:
Add a special linking exception to the LGPL.
*:
Update references to COPYING.LIB.
Clean up some minor errors that have accumulated in copyright
messages.
68 lines
2.1 KiB
Mathematica
68 lines
2.1 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) 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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% File: complex_imag.m.
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% Main author: fjh.
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% Stability: medium.
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% This module provides binary operators on (complex, imag).
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%
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% See also: complex.m, imag.m, imag_complex.m.
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%-----------------------------------------------------------------------------%
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:- module complex_numbers.complex_imag.
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:- interface.
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:- import_module complex_numbers.complex.
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:- import_module complex_numbers.imag.
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%-----------------------------------------------------------------------------%
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% Addition.
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%
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:- func complex + imag = 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 complex - imag = 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 complex * imag = 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 complex / imag = 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 float.
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%-----------------------------------------------------------------------------%
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cmplx(XR, XI) + im(YI) = cmplx(0.0 + XR, XI + YI).
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cmplx(XR, XI) - im(YI) = cmplx(0.0 + XR, XI - YI).
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cmplx(XR, XI) * im(YI) = cmplx(0.0 - XI * YI, 0.0 + XR * YI).
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cmplx(XR, XI) / im(YI) = cmplx(0.0 + XI / YI, 0.0 - XR / YI).
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% Division of complex / imag 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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%-----------------------------------------------------------------------------%
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