annotate scripts/specfun/factor.m @ 28896:90fea9cc9caa

test: Add expected error message <Invalid call> to BIST tests for nargin. * acosd.m, acot.m, acotd.m, acoth.m, acsc.m, acscd.m, acsch.m, asec.m, asecd.m, asech.m, asind.m, atand.m, cosd.m, cot.m, cotd.m, coth.m, csc.m, cscd.m, csch.m, sec.m, secd.m, sech.m, sind.m, tand.m, cart2pol.m, cart2sph.m, celldisp.m, common_size.m, deal.m, del2.m, fliplr.m, integral2.m, interp1.m, isequal.m, isequaln.m, nextpow2.m, pol2cart.m, quad2d.m, quadl.m, quadv.m, randi.m, rat.m, repelem.m, rescale.m, shiftdim.m, sortrows.m, sph2cart.m, xor.m, convhull.m, delaunay.m, delaunayn.m, griddata.m, griddatan.m, inpolygon.m, voronoi.m, voronoin.m, listdlg.m, msgbox.m, questdlg.m, rmappdata.m, setappdata.m, __gripe_missing_component__.m, get_first_help_sentence.m, type.m, which.m, cmpermute.m, cmunique.m, gray2ind.m, imfinfo.m, imshow.m, imwrite.m, ind2rgb.m, movie.m, rgb2ind.m, importdata.m, bandwidth.m, condeig.m, gls.m, housh.m, linsolve.m, logm.m, lscov.m, normest.m, normest1.m, ols.m, ordeig.m, planerot.m, qzhess.m, rref.m, copyfile.m, delete.m, dos.m, fileparts.m, getfield.m, menu.m, mkdir.m, movefile.m, orderfields.m, publish.m, setfield.m, substruct.m, unix.m, unpack.m, decic.m, ode23.m, ode23s.m, ode45.m, fminsearch.m, lsqnonneg.m, pqpnonneg.m, sqp.m, annotation.m, lighting.m, shading.m, area.m, compass.m, contourc.m, feather.m, fplot.m, hist.m, isocaps.m, isocolors.m, isonormals.m, isosurface.m, ostreamtube.m, pie.m, pie3.m, reducepatch.m, reducevolume.m, rose.m, smooth3.m, stairs.m, stem.m, stem3.m, stream2.m, stream3.m, streamline.m, streamribbon.m, streamtube.m, surfnorm.m, trimesh.m, trisurf.m, colstyle.m, hgload.m, linkprop.m, meshgrid.m, ndgrid.m, padecoef.m, polyfit.m, polyval.m, unmkpp.m, profexport.m, ismember.m, unique.m, movfun.m, movslice.m, periodogram.m, sinc.m, spdiags.m, sprandsym.m, betaincinv.m, ellipke.m, factor.m, gammainc.m, gammaincinv.m, isprime.m, lcm.m, gallery.m, hadamard.m, bounds.m, corrcoef.m, discrete_rnd.m, empirical_rnd.m, histc.m, mode.m, movmad.m, movmax.m, movmean.m, movmedian.m, movmin.m, movprod.m, movstd.m, movsum.m, movvar.m, ranks.m, runlength.m, zscore.m, str2num.m, strchr.m, strsplit.m, strtok.m, untabify.m, assert.m, demo.m, example.m, speed.m, test.m, datenum.m, datevec.m, webread.m, webwrite.m: Add expected error message <Invalid call> to BIST tests for nargin. Remove redundant tests for nargin greater than the number of declared inputs which are now handled by interpreter.
author Rik <rik@octave.org>
date Sun, 11 Oct 2020 21:59:35 -0700
parents de5f2f9a64ff
children 7854d5752dd2
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rev   line source
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2000-2020 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{pf} =} factor (@var{q})
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28 ## @deftypefnx {} {[@var{pf}, @var{n}] =} factor (@var{q})
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29 ## Return the prime factorization of @var{q}.
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30 ##
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31 ## The prime factorization is defined as @code{prod (@var{pf}) == @var{q}}
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32 ## where every element of @var{pf} is a prime number. If @code{@var{q} == 1},
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33 ## return 1. The output @var{pf} is of the same numeric class as the input.
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34 ##
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35 ## With two output arguments, return the unique prime factors @var{pf} and
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36 ## their multiplicities. That is,
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37 ## @code{prod (@var{pf} .^ @var{n}) == @var{q}}.
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38 ##
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39 ## Implementation Note: The input @var{q} must be less than @code{flintmax}
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40 ## (9.0072e+15) in order to factor correctly.
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41 ## @seealso{gcd, lcm, isprime, primes}
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42 ## @end deftypefn
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43
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44 function [pf, n] = factor (q)
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45
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46 if (nargin < 1)
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47 print_usage ();
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48 endif
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49
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50 if (! isscalar (q) || ! isreal (q) || q < 0 || q != fix (q))
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51 error ("factor: Q must be a real non-negative integer");
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52 endif
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53
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54 ## Special case of no primes less than sqrt(q).
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55 if (q < 4)
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56 pf = q;
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57 n = 1;
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58 return;
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59 endif
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60
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61 cls = class (q); # store class
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62 q = double (q); # internal algorithm relies on numbers being doubles.
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63 qorig = q;
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64 pf = [];
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65 ## There is at most one prime greater than sqrt(q), and if it exists,
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66 ## it has multiplicity 1, so no need to consider any factors greater
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67 ## than sqrt(q) directly. [If there were two factors p1, p2 > sqrt(q),
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68 ## then q >= p1*p2 > sqrt(q)*sqrt(q) == q. Contradiction.]
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69 p = primes (sqrt (q));
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70 while (q > 1)
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71 ## Find prime factors in remaining q.
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72 p = p(rem (q, p) == 0);
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73 if (isempty (p))
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74 ## Can't be reduced further, so q must itself be a prime.
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75 p = q;
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76 endif
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77 pf = [pf, p];
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78 ## Reduce q.
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79 q /= prod (p);
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80 endwhile
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81 pf = sort (pf);
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82
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83 ## Verify algorithm was successful
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84 q = prod (pf);
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85 if (q != qorig)
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86 error ("factor: Q too large to factor");
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87 elseif (q >= flintmax ())
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88 warning ("factor: Q too large. Answer is unreliable");
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89 endif
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90
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91 ## Determine multiplicity.
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92 if (nargout > 1)
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93 idx = find ([0, pf] != [pf, 0]);
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94 pf = pf(idx(1:length (idx)-1));
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95 n = diff (idx);
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96 endif
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97
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98 ## Restore class of input
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99 pf = feval (cls, pf);
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100
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101 endfunction
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102
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103
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104 %!assert (factor (1), 1)
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105 %!test
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106 %! for i = 2:20
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107 %! pf = factor (i);
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108 %! assert (prod (pf), i);
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109 %! assert (all (isprime (pf)));
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110 %! [pf, n] = factor (i);
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111 %! assert (prod (pf.^n), i);
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112 %! assert (all ([0,pf] != [pf,0]));
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113 %! endfor
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114
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115 %!assert (factor (uint8 (8)), uint8 ([2 2 2]))
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116 %!assert (factor (single (8)), single ([2 2 2]))
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117 %!test
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118 %! [pf, n] = factor (int16 (8));
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Rik <rik@octave.org>
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119 %! assert (pf, int16 (2));
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Rik <rik@octave.org>
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120 %! assert (n, double (3));
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Rik <rik@octave.org>
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121
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9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
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122 ## Test input validation
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Rik <rik@octave.org>
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123 %!error <Invalid call> factor ()
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Dildar Sk <dildarsk101010@gmail.com>
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124 %!error <Q must be a real non-negative integer> factor (6i)
cac96fd5310d factor.m: Emit an error if input is negative (bug #53425).
Dildar Sk <dildarsk101010@gmail.com>
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125 %!error <Q must be a real non-negative integer> factor ([1,2])
cac96fd5310d factor.m: Emit an error if input is negative (bug #53425).
Dildar Sk <dildarsk101010@gmail.com>
parents: 25054
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126 %!error <Q must be a real non-negative integer> factor (1.5)
cac96fd5310d factor.m: Emit an error if input is negative (bug #53425).
Dildar Sk <dildarsk101010@gmail.com>
parents: 25054
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127 %!error <Q must be a real non-negative integer> factor (-20)