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d23f11ac33
Estimated hours taken: 0.75 Use sub-modules to package up the modules in extras/complex_numbers into a single module. extras/complex_numbers/complex_lib.m: extras/complex_numbers/complex_numbers.m: Rename complex_lib.m as complex_numbers.m, and modify it to use sub-modules. extras/complex_numbers/*.m: extras/complex_numbers/tests/complex_test.m: extras/complex_numbers/samples/fft.m: Add `complex_numbers:' to all of the `:- module' and `:- import_module' declarations. extras/complex_numbers/Mmakefile: extras/complex_numbers/tests/Mmakefile: extras/complex_numbers/samples/Mmakefile: Modify to reflect the renaming from `complex_lib' to `complex_numbers'.
63 lines
2.0 KiB
Mathematica
63 lines
2.0 KiB
Mathematica
%---------------------------------------------------------------------------%
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% Copyright (C) 1997-1998 The University of Melbourne.
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% This file may only be copied under the terms of the GNU Library General
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% Public License - see the file COPYING.LIB in the Mercury distribution.
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%---------------------------------------------------------------------------%
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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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%
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% This module provides binary operators on (complex, imag).
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%
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% See also:
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% complex.m, imag.m, imag_complex.m.
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%
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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, complex_numbers:imag.
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% addition
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:- func complex + imag = complex.
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:- mode in + in = uo is det.
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:- mode uo + in = in is det.
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:- mode in + uo = in is semidet.
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% subtraction
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:- func complex - imag = complex.
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:- mode in - in = uo is det.
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:- mode uo - in = in is det.
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:- mode in - uo = in is semidet.
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% multiplication
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:- func complex * imag = complex.
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:- mode in * in = uo is det.
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:- mode uo * in = in is det.
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:- mode in * out = in is semidet.
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% division
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:- func complex / imag = complex.
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:- mode in / in = uo is det.
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:- mode uo / in = in is det.
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:- mode in / out = in is semidet.
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%---------------------------------------------------------------------------%
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:- implementation.
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:- import_module float.
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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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