Files
mercury/extras/complex_numbers/complex_float.m
Fergus Henderson d23f11ac33 Use sub-modules to package up the modules in extras/complex_numbers
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'.
1998-05-29 09:08:43 +00:00

68 lines
2.0 KiB
Mathematica

%---------------------------------------------------------------------------%
% Copyright (C) 1997-1998 The University of Melbourne.
% This file may only be copied under the terms of the GNU Library General
% Public License - see the file COPYING.LIB in the Mercury distribution.
%---------------------------------------------------------------------------%
%
% File: complex_float.m.
% Main author: fjh.
% Stability: medium.
%
% This module provides binary operators on (complex, float).
%
% See also:
% complex, float, complex_float.
%
%---------------------------------------------------------------------------%
:- module complex_numbers:complex_float.
:- interface.
:- import_module complex_numbers:complex, float.
% addition
:- func complex + float = complex.
:- mode in + in = uo is det.
:- mode uo + in = in is det.
:- mode in + uo = in is det.
% subtraction
:- func complex - float = complex.
:- mode in - in = uo is det.
:- mode uo - in = in is det.
:- mode in - uo = in is det.
% multiplication
:- func complex * float = complex.
:- mode in * in = uo is det.
:- mode uo * in = in is det.
:- mode in * uo = in is det.
% division
:- func complex / float = complex.
:- mode in / in = uo is det.
:- mode uo / in = in is det.
:- mode in / uo = in is det.
% exponentiation
:- func pow(complex, float) = complex.
:- mode pow(in, in) = out is det.
%---------------------------------------------------------------------------%
:- implementation.
:- import_module complex_numbers:complex_float.
cmplx(XR, XI) + YR = cmplx(XR + YR, XI).
cmplx(XR, XI) - YR = cmplx(XR - YR, XI).
cmplx(XR, XI) * YR = cmplx(XR * YR, XI * YR).
cmplx(XR, XI) / YR = cmplx(XR / YR, XI / YR).
pow(cmplx(Re0, Im0), P) = cmplx(Re, Im) :-
cartesian_to_polar(Re0, Im0, L0, Th0),
L = pow(L0, P),
Th = Th0 * P,
polar_to_cartesian(L, Th, Re, Im).
%---------------------------------------------------------------------------%
%---------------------------------------------------------------------------%