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mercury/extras/complex_numbers/complex_numbers.float_complex.m
Zoltan Somogyi af23a48a2b Minor style improvements to extras.
extras/gator/gator:
    Update programming style. Fix indentation. Add a vim modeline.

extras/gator/genotype.m:
extras/gator/phenotype.m:
    Fix indentation.

extras/lex/regex.m:
    Replace if-then-else chain with a switch.

extras/base64/base64.m:
extras/cgi/cgi.m:
extras/cgi/form_test.m:
extras/cgi/html.m:
extras/cgi/mercury_www.m:
extras/complex_numbers/complex_numbers.complex.m:
extras/complex_numbers/complex_numbers.complex_float.m:
extras/complex_numbers/complex_numbers.complex_imag.m:
extras/complex_numbers/complex_numbers.float_complex.m:
extras/complex_numbers/complex_numbers.float_imag.m:
extras/complex_numbers/complex_numbers.imag.m:
extras/complex_numbers/complex_numbers.imag_complex.m:
extras/complex_numbers/complex_numbers.imag_float.m:
extras/complex_numbers/complex_numbers.m:
extras/curs/curs.m:
extras/dynamic_linking/dl_test.m:
extras/dynamic_linking/dl_test2.m:
extras/dynamic_linking/hello.m:
extras/error/error.m:
extras/fixed/fixed.m:
extras/fixed/mercury_fixed.m:
extras/java_extras/make_temp.m:
extras/lex/lex.automata.m:
extras/lex/lex.buf.m:
extras/lex/lex.convert_NFA_to_DFA.m:
extras/lex/lex.lexeme.m:
extras/lex/lex.m:
extras/lex/lex.regexp.m:
extras/logged_output/logged_output.m:
extras/logged_output/main.m:
extras/monte/doit.m:
extras/monte/dots.m:
extras/monte/geom.m:
extras/monte/hg.m:
extras/monte/monte.m:
extras/monte/rnd.m:
extras/mopenssl/mopenssl.m:
extras/odbc/mercury_odbc.m:
extras/odbc/odbc.m:
extras/odbc/odbc_test.m:
extras/posix/posix.chdir.m:
extras/posix/posix.closedir.m:
extras/posix/posix.dup.m:
extras/posix/posix.exec.m:
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extras/posix/posix.mkdir.m:
extras/posix/posix.open.m:
extras/posix/posix.opendir.m:
extras/posix/posix.pipe.m:
extras/posix/posix.read.m:
extras/posix/posix.readdir.m:
extras/posix/posix.realpath.m:
extras/posix/posix.rmdir.m:
extras/posix/posix.select.m:
extras/posix/posix.sleep.m:
extras/posix/posix.socket.m:
extras/posix/posix.stat.m:
extras/posix/posix.strerror.m:
extras/posix/posix.wait.m:
extras/posix/posix.write.m:
extras/quickcheck/qcheck.m:
extras/quickcheck/rnd.m:
extras/quickcheck/test_qcheck.m:
extras/show_ops/show_ops.m:
extras/split_file/split_file.m:
extras/windows_installer_generator/wix.m:
extras/windows_installer_generator/wix_files.m:
extras/windows_installer_generator/wix_gui.m:
extras/windows_installer_generator/wix_installer.m:
extras/windows_installer_generator/wix_util.m:
    Apply tools/stdlines to all these files.
2025-05-05 08:08:50 +10:00

73 lines
2.3 KiB
Mathematica

%---------------------------------------------------------------------------%
% vim: ft=mercury ts=4 sw=4 et
%---------------------------------------------------------------------------%
% Copyright (C) 1997-1998,2001, 2004-2006 The University of Melbourne.
% Copyright (C) 2015, 2018, 2025 The Mercury team.
% This file is distributed under the terms specified in COPYING.LIB.
%---------------------------------------------------------------------------%
%
% File: float_complex.m.
% Main author: fjh.
% Stability: medium.
%
% This module provides binary operators on (float, complex).
%
% See also: complex.m, float.m, complex_float.m.
%
%---------------------------------------------------------------------------%
:- module complex_numbers.float_complex.
:- interface.
:- import_module complex_numbers.complex.
:- import_module float.
%---------------------------------------------------------------------------%
% Addition.
%
:- func float + complex = complex.
:- mode in + in = uo is det.
% Subtraction.
%
:- func float - complex = complex.
:- mode in - in = uo is det.
% Multiplication.
%
:- func float * complex = complex.
:- mode in * in = uo is det.
% Division.
%
:- func float / complex = complex.
:- mode in / in = uo is det.
%---------------------------------------------------------------------------%
%---------------------------------------------------------------------------%
:- implementation.
:- import_module complex_numbers.complex_float.
%---------------------------------------------------------------------------%
XR + cmplx(YR, YI) = cmplx(XR + YR, + YI).
XR - cmplx(YR, YI) = cmplx(XR - YR, - YI).
XR * cmplx(YR, YI) = cmplx(XR * YR, XR * YI).
XR / cmplx(YR, YI) = cmplx(XR * YR / Div, - XR * YI / Div) :-
Div = YR * YR + YI * YI.
%---------------------------------------------------------------------------%
%---------------------------------------------------------------------------%
% Division of float / complex 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.float_complex.
%---------------------------------------------------------------------------%