Mercurial > hg > octave-nkf
annotate scripts/strings/dec2base.m @ 14868:5d3a684236b0
maint: Use Octave coding conventions for cuddling parentheses in scripts directory
* lin2mu.m, loadaudio.m, wavread.m, accumarray.m, bicubic.m, celldisp.m,
colon.m, cplxpair.m, dblquad.m, divergence.m, genvarname.m, gradient.m,
int2str.m, interp1.m, interp1q.m, interp2.m, interpn.m, loadobj.m, nthargout.m,
__isequal__.m, __splinen__.m, quadgk.m, quadl.m, quadv.m, rat.m, rot90.m,
rotdim.m, saveobj.m, subsindex.m, triplequad.m, delaunay3.m, griddata.m,
inpolygon.m, tsearchn.m, voronoi.m, get_first_help_sentence.m, which.m,
gray2ind.m, pink.m, dlmwrite.m, strread.m, textread.m, textscan.m, housh.m,
ishermitian.m, issymmetric.m, krylov.m, logm.m, null.m, rref.m,
compare_versions.m, copyfile.m, dump_prefs.m, edit.m, fileparts.m,
getappdata.m, isappdata.m, movefile.m, orderfields.m, parseparams.m,
__xzip__.m, rmappdata.m, setappdata.m, swapbytes.m, unpack.m, ver.m, fminbnd.m,
fminunc.m, fsolve.m, glpk.m, lsqnonneg.m, qp.m, sqp.m, configure_make.m,
copy_files.m, describe.m, get_description.m, get_forge_pkg.m, install.m,
installed_packages.m, is_architecture_dependent.m, load_package_dirs.m,
print_package_description.m, rebuild.m, repackage.m, save_order.m, shell.m,
allchild.m, ancestor.m, area.m, axes.m, axis.m, clabel.m, close.m, colorbar.m,
comet.m, comet3.m, contour.m, cylinder.m, ezmesh.m, ezsurf.m, findobj.m,
fplot.m, hist.m, isocolors.m, isonormals.m, isosurface.m, isprop.m, legend.m,
mesh.m, meshz.m, pareto.m, pcolor.m, peaks.m, plot3.m, plotmatrix.m, plotyy.m,
polar.m, print.m, __add_datasource__.m, __add_default_menu__.m,
__axes_limits__.m, __bar__.m, __clabel__.m, __contour__.m, __errcomm__.m,
__errplot__.m, __ezplot__.m, __file_filter__.m, __fltk_print__.m,
__ghostscript__.m, __gnuplot_print__.m, __go_draw_axes__.m,
__go_draw_figure__.m, __interp_cube__.m, __marching_cube__.m, __patch__.m,
__pie__.m, __plt__.m, __print_parse_opts__.m, __quiver__.m, __scatter__.m,
__stem__.m, __tight_eps_bbox__.m, __uigetdir_fltk__.m, __uigetfile_fltk__.m,
__uiputfile_fltk__.m, quiver.m, quiver3.m, rectangle.m, refreshdata.m,
ribbon.m, scatter.m, semilogy.m, shading.m, slice.m, subplot.m, surface.m,
surfl.m, surfnorm.m, text.m, uigetfile.m, uiputfile.m, whitebg.m, deconv.m,
mkpp.m, pchip.m, polyaffine.m, polyder.m, polygcd.m, polyout.m, polyval.m,
ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, splinefit.m,
addpref.m, getpref.m, setpref.m, ismember.m, setxor.m, arch_fit.m, arch_rnd.m,
arch_test.m, autoreg_matrix.m, diffpara.m, fftconv.m, filter2.m, hanning.m,
hurst.m, periodogram.m, triangle_sw.m, sinc.m, spectral_xdf.m, spencer.m,
stft.m, synthesis.m, unwrap.m, yulewalker.m, bicgstab.m, gmres.m, pcg.m, pcr.m,
__sprand_impl__.m, speye.m, spfun.m, sprandn.m, spstats.m, svds.m,
treelayout.m, treeplot.m, bessel.m, factor.m, legendre.m, perms.m, primes.m,
magic.m, toeplitz.m, corr.m, cov.m, mean.m, median.m, mode.m, qqplot.m,
quantile.m, ranks.m, zscore.m, logistic_regression_likelihood.m,
bartlett_test.m, chisquare_test_homogeneity.m, chisquare_test_independence.m,
kolmogorov_smirnov_test.m, run_test.m, u_test.m, wilcoxon_test.m, z_test.m,
z_test_2.m, bin2dec.m, dec2base.m, mat2str.m, strcat.m, strchr.m, strjust.m,
strtok.m, substr.m, untabify.m, assert.m, demo.m, example.m, fail.m, speed.m,
test.m, now.m: Use Octave coding conventions for cuddling parentheses in
scripts directory.
author | Rik <octave@nomad.inbox5.com> |
---|---|
date | Tue, 17 Jul 2012 07:08:39 -0700 |
parents | f3d52523cde1 |
children | 3542e106c496 |
rev | line source |
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1 ## Copyright (C) 2000-2012 Daniel Calvelo |
3789 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3789 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
14 ## | |
15 ## You should have received a copy of the GNU General Public License | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3789 | 18 |
19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {} dec2base (@var{d}, @var{base}) |
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21 ## @deftypefnx {Function File} {} dec2base (@var{d}, @var{base}, @var{len}) |
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22 ## Return a string of symbols in base @var{base} corresponding to |
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23 ## the non-negative integer @var{d}. |
3789 | 24 ## |
25 ## @example | |
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26 ## @group |
3789 | 27 ## dec2base (123, 3) |
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28 ## @result{} "11120" |
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29 ## @end group |
3789 | 30 ## @end example |
31 ## | |
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32 ## If @var{d} is a matrix or cell array, return a string matrix with one |
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33 ## row per element in @var{d}, padded with leading zeros to the width of |
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34 ## the largest value. |
3789 | 35 ## |
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36 ## If @var{base} is a string then the characters of @var{base} are used as |
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37 ## the symbols for the digits of @var{d}. Space (' ') may not be used |
3789 | 38 ## as a symbol. |
39 ## | |
40 ## @example | |
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41 ## @group |
3789 | 42 ## dec2base (123, "aei") |
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43 ## @result{} "eeeia" |
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44 ## @end group |
3789 | 45 ## @end example |
4492 | 46 ## |
47 ## The optional third argument, @var{len}, specifies the minimum | |
48 ## number of digits in the result. | |
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49 ## @seealso{base2dec, dec2bin, dec2hex} |
3789 | 50 ## @end deftypefn |
51 | |
3791 | 52 ## Author: Daniel Calvelo <dcalvelo@yahoo.com> |
3789 | 53 ## Adapted-by: Paul Kienzle <pkienzle@kienzle.powernet.co.uk> |
54 | |
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55 function retval = dec2base (d, base, len) |
3789 | 56 |
4492 | 57 if (nargin < 2 || nargin > 3) |
6046 | 58 print_usage (); |
3789 | 59 endif |
60 | |
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61 if (iscell (d)) |
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62 d = cell2mat (d); |
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63 endif |
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64 |
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65 # Create column vector for algorithm |
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66 if (! iscolumn (d)) |
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67 d = d(:); |
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68 endif |
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69 |
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70 if (! isnumeric (d) || iscomplex (d) || any (d < 0 | d != fix (d))) |
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71 error ("dec2base: input must be real non-negative integers"); |
3789 | 72 endif |
73 | |
74 symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"; | |
5443 | 75 if (ischar (base)) |
3789 | 76 symbols = base; |
77 base = length (symbols); | |
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78 if (length (unique (symbols)) != base) |
5407 | 79 error ("dec2base: symbols representing digits must be unique"); |
3789 | 80 endif |
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81 if (any (isspace (symbols))) |
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82 error ("dec2base: whitespace characters are not valid symbols"); |
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83 endif |
4030 | 84 elseif (! isscalar (base)) |
5407 | 85 error ("dec2base: cannot convert from several bases at once"); |
3789 | 86 elseif (base < 2 || base > length (symbols)) |
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87 error ("dec2base: BASE must be between 2 and 36, or a string of symbols"); |
3789 | 88 endif |
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89 |
5125 | 90 ## determine number of digits required to handle all numbers, can overflow |
91 ## by 1 digit | |
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92 max_len = round (log (max (max (d(:)), 1)) / log (base)) + 1; |
4492 | 93 |
94 if (nargin == 3) | |
95 max_len = max (max_len, len); | |
96 endif | |
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97 |
3789 | 98 ## determine digits for each number |
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99 digits = zeros (length (d), max_len); |
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100 for k = max_len:-1:1 |
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101 digits(:,k) = mod (d, base); |
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102 d = round ((d - digits(:,k)) / base); |
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103 endfor |
3789 | 104 |
105 ## convert digits to symbols | |
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106 retval = reshape (symbols(digits+1), size (digits)); |
3789 | 107 |
5133 | 108 ## Check if the first element is the zero symbol. It seems possible |
109 ## that LEN is provided, and is less than the computed MAX_LEN and | |
110 ## MAX_LEN is computed to be one larger than necessary, so we would | |
111 ## have a leading zero to remove. But if LEN >= MAX_LEN, we should | |
112 ## not remove any leading zeros. | |
113 if ((nargin == 2 || (nargin == 3 && max_len > len)) | |
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114 && length (retval) != 1 && ! any (retval(:,1) != symbols(1))) |
5125 | 115 retval = retval(:,2:end); |
116 endif | |
117 | |
3789 | 118 endfunction |
5125 | 119 |
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120 |
5125 | 121 %!test |
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122 %! s0 = ""; |
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123 %! for n = 1:13 |
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124 %! for b = 2:16 |
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125 %! pp = dec2base (b^n+1, b); |
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126 %! assert (dec2base (b^n, b), ['1',s0,'0']); |
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127 %! assert (dec2base (b^n+1, b), ['1',s0,'1']); |
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128 %! endfor |
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129 %! s0 = [s0,'0']; |
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130 %! endfor |
5125 | 131 |
132 %!test | |
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133 %! digits = "0123456789ABCDEF"; |
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134 %! for n = 1:13 |
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135 %! for b = 2:16 |
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136 %! pm = dec2base (b^n-1, b); |
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137 %! assert (length (pm), n); |
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138 %! assert (all (pm == digits(b))); |
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139 %! endfor |
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140 %! endfor |
5125 | 141 |
142 %!test | |
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143 %! for b = 2:16 |
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144 %! assert (dec2base (0, b), '0'); |
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145 %! endfor |
5125 | 146 |
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147 %!assert (dec2base (0, 2, 4), "0000") |
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148 %!assert (dec2base (2^51-1, 2), ... |
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149 %! "111111111111111111111111111111111111111111111111111") |
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150 %!assert (dec2base (uint64 (2)^63-1, 16), "7FFFFFFFFFFFFFFF") |
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151 %!assert (dec2base ([1, 2; 3, 4], 2, 3), ["001"; "011"; "010"; "100"]) |
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152 %!assert (dec2base ({1, 2; 3, 4}, 2, 3), ["001"; "011"; "010"; "100"]) |
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153 |
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Overhaul functions used to convert between number bases.
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154 %%Test input validation |
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155 %!error dec2base () |
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156 %!error dec2base (1) |
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157 %!error dec2base (1, 2, 3, 4) |
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Allow cellstr inputs for dec2* conversion functions.
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158 %!error dec2base ("A") |
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Allow cellstr inputs for dec2* conversion functions.
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159 %!error dec2base (2i) |
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160 %!error dec2base (-1) |
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Rik <octave@nomad.inbox5.com>
parents:
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161 %!error dec2base (1.1) |
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dec2base.m: Code tweaks for slightly better performance.
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162 %!error dec2base (1, "ABA") |
1f075333d9e8
dec2base.m: Code tweaks for slightly better performance.
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163 %!error dec2base (1, "A B") |
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maint: Use Octave coding conventions for cuddling parentheses in scripts directory
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164 %!error dec2base (1, ones (2)) |
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parents:
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165 %!error dec2base (1, 1) |
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parents:
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166 %!error dec2base (1, 37) |
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parents:
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167 |