Mercurial > octave
view scripts/optimization/humps.m @ 28789:28de41192f3c
Eliminate unneeded verification of nargin, nargout in m-files.
* FIRfilter.m, FIRfilter_aggregation.m, get.m, polynomial.m,
polynomial_superiorto.m, polynomial2.m, makeUniqueStrings.m, base64decode.m,
base64encode.m, cd.m, lin2mu.m, record.m, sound.m, soundsc.m, accumarray.m,
accumdim.m, bitcmp.m, bitset.m, cart2pol.m, celldisp.m, circshift.m,
cplxpair.m, cumtrapz.m, flip.m, idivide.m, interpft.m, logspace.m, pol2cart.m,
polyarea.m, postpad.m, prepad.m, rat.m, rot90.m, rotdim.m, shift.m, shiftdim.m,
sortrows.m, trapz.m, dsearch.m, dsearchn.m, getappdata.m, getpixelposition.m,
guidata.m, guihandles.m, isappdata.m, listfonts.m, uigetdir.m,
waitforbuttonpress.m, __makeinfo__.m, doc.m, get_first_help_sentence.m,
autumn.m, bone.m, brighten.m, cmpermute.m, cmunique.m, colorcube.m, contrast.m,
cool.m, copper.m, cubehelix.m, flag.m, gray.m, gray2ind.m, hot.m, hsv.m,
im2double.m, im2frame.m, imformats.m, jet.m, lines.m, ocean.m, pink.m, prism.m,
rainbow.m, rgbplot.m, spinmap.m, spring.m, summer.m, viridis.m, white.m,
winter.m, beep.m, importdata.m, is_valid_file_id.m, javachk.m, javaclasspath.m,
findstr.m, genvarname.m, strmatch.m, bandwidth.m, commutation_matrix.m, cond.m,
cross.m, isdefinite.m, ishermitian.m, issymmetric.m, krylov.m, linsolve.m,
logm.m, lscov.m, null.m, ordeig.m, orth.m, rank.m, rref.m, vecnorm.m,
bunzip2.m, citation.m, computer.m, copyfile.m, dir.m, dos.m, fileattrib.m,
gunzip.m, inputParser.m, inputname.m, ismac.m, ispc.m, isunix.m, license.m,
list_primes.m, methods.m, mkdir.m, movefile.m, nargchk.m, news.m,
orderfields.m, recycle.m, tar.m, unix.m, unpack.m, untar.m, unzip.m, ver.m,
version.m, what.m, zip.m, decic.m, fminbnd.m, fminunc.m, fsolve.m, fzero.m,
glpk.m, humps.m, lsqnonneg.m, optimget.m, pqpnonneg.m, sqp.m, pathdef.m,
camlookat.m, hidden.m, specular.m, plotmatrix.m, smooth3.m, sombrero.m,
stemleaf.m, __gnuplot_drawnow__.m, __opengl_info__.m, ancestor.m, cla.m,
close.m, closereq.m, copyobj.m, gca.m, gcf.m, ginput.m, graphics_toolkit.m,
groot.m, hgload.m, hgsave.m, isgraphics.m, ishold.m, linkaxes.m, meshgrid.m,
newplot.m, refresh.m, refreshdata.m, rotate.m, saveas.m, struct2hdl.m, conv.m,
mkpp.m, mpoles.m, padecoef.m, pchip.m, polyder.m, polyfit.m, polygcd.m,
polyint.m, polyout.m, polyval.m, ppder.m, ppint.m, getpref.m, ispref.m,
rmpref.m, profexport.m, profshow.m, powerset.m, arch_fit.m, arma_rnd.m,
blackman.m, detrend.m, diffpara.m, fftconv.m, fftfilt.m, filter2.m, freqz.m,
freqz_plot.m, hamming.m, hanning.m, sinetone.m, sinewave.m, spectral_adf.m,
spectral_xdf.m, stft.m, unwrap.m, gplot.m, ichol.m, ilu.m, spdiags.m, sprand.m,
sprandn.m, spstats.m, svds.m, treelayout.m, treeplot.m, betainc.m,
betaincinv.m, ellipke.m, gammainc.m, gammaincinv.m, legendre.m, pow2.m,
hankel.m, pascal.m, rosser.m, toeplitz.m, bounds.m, corr.m, cov.m, histc.m,
kendall.m, kurtosis.m, mad.m, mode.m, moment.m, prctile.m, quantile.m, range.m,
ranks.m, run_count.m, skewness.m, spearman.m, std.m, var.m, zscore.m,
dec2base.m, dec2bin.m, dec2hex.m, index.m, mat2str.m, native2unicode.m,
ostrsplit.m, strjoin.m, strjust.m, strtok.m, substr.m, unicode2native.m,
untabify.m, __debug_octave__.m, demo.m, example.m, fail.m, oruntests.m,
dump_demos.m, speed.m, test.m, date.m, datenum.m, datestr.m, datevec.m,
is_leap_year.m, now.m, weekday.m:
Eliminate unneeded verification of nargin, nargout in m-files now that
the interpreter checks these values.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 24 Sep 2020 14:44:58 -0700 |
parents | a4268efb7334 |
children | 7854d5752dd2 |
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######################################################################## ## ## Copyright (C) 2017-2020 The Octave Project Developers ## ## See the file COPYRIGHT.md in the top-level directory of this ## distribution or <https://octave.org/copyright/>. ## ## This file is part of Octave. ## ## Octave is free software: you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation, either version 3 of the License, or ## (at your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ## GNU General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <https://www.gnu.org/licenses/>. ## ######################################################################## ## -*- texinfo -*- ## @deftypefn {} {@var{y} =} humps (@var{x}) ## @deftypefnx {} {[@var{x}, @var{y}] =} humps (@var{x}) ## Evaluate a function with multiple minima, maxima, and zero crossings. ## ## The output @var{y} is the evaluation of the rational function: ## ## @tex ## $$y = -{ {1200x^4 - 2880x^3 + 2036x^2 - 340x - 88} \over {200x^4 - 480x^3 + 406x^2 - 138x - 17} }$$ ## @end tex ## @ifnottex ## ## @example ## @group ## 1200*@var{x}^4 - 2880*@var{x}^3 + 2036*@var{x}^2 - 348*@var{x} - 88 ## @var{y} = - --------------------------------------------- ## 200*@var{x}^4 - 480*@var{x}^3 + 406*@var{x}^2 - 138*@var{x} + 17 ## @end group ## @end example ## ## @end ifnottex ## ## @var{x} may be a scalar, vector or array. If @var{x} is omitted, the ## default range [0:0.05:1] is used. ## ## When called with two output arguments, [@var{x}, @var{y}], @var{x} will ## contain the input values, and @var{y} will contain the output from ## @code{humps}. ## ## Programming Notes: @code{humps} has two local maxima located near @var{x} = ## 0.300 and 0.893, a local minimum near @var{x} = 0.637, and zeros near ## @var{x} = -0.132 and 1.300. @code{humps} is a useful function for testing ## algorithms which find zeros or local minima and maxima. ## ## Try @code{demo humps} to see a plot of the @code{humps} function. ## @seealso{fzero, fminbnd, fminunc, fminsearch} ## @end deftypefn function [x, y] = humps (x = [0:0.05:1]) y = - 4*( 300*x.^4 - 720*x.^3 + 509*x.^2 - 87*x - 22) ./ ... ((10*x.^2 - 6*x + 1).*(20*x.^2 - 36*x + 17)); if (nargout <= 1) x = y; endif endfunction %!demo %! clf; %! fplot (@humps, [0, 2]); %! title ("humps() function"); ## value checks %!assert (humps (0), 88/17, 10*eps) %!assert (humps (1), 16, 10*eps) %!assert (humps (-1), -6376/1241, 10*eps) %!assert (humps (), [88/17, 16106/1769, 263/17, 82802/3133, 2432/53, ... %! 2818/37, 193/2, 10538/137, 1376/29, 36434/1261, 19, 5258/377, ... %! 152/13, 24562/2173, 421/34, 250/17, 232/13, 1762/85, 803/37, ... %! 58354/2941, 16], 1000*eps) ## vector checks %!assert (humps ([0, 1]), [88/17, 16], 10*eps) %!assert (humps ([0, 1]'), [88/17, 16]', 10*eps) %!assert (humps ([0, 1; 1, 0]'), [88/17, 16; 16, 88/17]', 10*eps) ## array checks %!assert (humps (repmat (eye (2), 1, 1, 2)), %! repmat ([16, 88/17; 88/17, 16], 1, 1, 2), 10*eps) ## other checks %!assert (humps (NaN), NaN) %!assert (humps ([]), []) ## Test input validation %!error humps (1,3)