Mercurial > hg > octave-nkf
annotate scripts/general/num2str.m @ 14537:f8e041f11b18
num2str.m: Update function to address bug #36117 and bug #36121.
* num2str.m: Return decimal, not floating point, for integer
values less than 1e10 (bug #36117). Return correct result when
integer input exceeds intmax (bug #36121). This checkin is a
benchmark which still uses Octaves output format string.
The next checkin will change the output format to match Matlab's.
author | Rik <octave@nomad.inbox5.com> |
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date | Sat, 07 Apr 2012 13:10:20 -0700 |
parents | f3d52523cde1 |
children | 34c932e669c8 |
rev | line source |
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maint: update copyright notices for 2012
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1 ## Copyright (C) 1993-2012 John W. Eaton |
2313 | 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. | |
2313 | 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/>. | |
245 | 18 |
3361 | 19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {} num2str (@var{x}) |
4229 | 21 ## @deftypefnx {Function File} {} num2str (@var{x}, @var{precision}) |
22 ## @deftypefnx {Function File} {} num2str (@var{x}, @var{format}) | |
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23 ## Convert a number (or array) to a string (or a character array). The |
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24 ## optional second argument may either give the number of significant |
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25 ## digits (@var{precision}) to be used in the output or a format |
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26 ## template string (@var{format}) as in @code{sprintf} (@pxref{Formatted |
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27 ## Output}). @code{num2str} can also handle complex numbers. For |
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28 ## example: |
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29 ## |
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30 ## @example |
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31 ## @group |
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32 ## num2str (123.456) |
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33 ## @result{} "123.46" |
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34 ## |
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35 ## num2str (123.456, 4) |
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36 ## @result{} "123.5" |
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37 ## |
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38 ## s = num2str ([1, 1.34; 3, 3.56], "%5.1f") |
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39 ## @result{} s = |
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40 ## 1.0 1.3 |
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41 ## 3.0 3.6 |
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42 ## whos s |
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43 ## @result{} |
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44 ## Attr Name Size Bytes Class |
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45 ## ==== ==== ==== ===== ===== |
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46 ## s 2x8 16 char |
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47 ## |
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48 ## num2str (1.234 + 27.3i) |
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49 ## @result{} "1.234+27.3i" |
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50 ## @end group |
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51 ## @end example |
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52 ## |
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53 ## The @code{num2str} function is not very flexible. For better control |
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54 ## over the results, use @code{sprintf} (@pxref{Formatted Output}). |
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55 ## Note that for complex @var{x}, the format string may only contain one |
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56 ## output conversion specification and nothing else. Otherwise, you |
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57 ## will get unpredictable results. |
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58 ## @seealso{sprintf, int2str, mat2str} |
3361 | 59 ## @end deftypefn |
4 | 60 |
2314 | 61 ## Author: jwe |
62 | |
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63 ## FIXME: Matlab output is essentially sprintf ("%p+8.pg", x) |
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64 ## where precision p is log10(x) + 4. This produces differently sized |
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65 ## columns for matrix input with both integer and floating point values |
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66 ## which can look rather odd. For the time being (2012/04/07) we prefer |
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67 ## Octave's output over strict compatibility. |
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68 |
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69 ## FIXME: Switch from "%d" decimal format to "%g" floating point format |
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70 ## is based on intmax ("int32"). On 64-bit machines we should probably use |
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71 ## intmax ("int64"). |
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72 |
4229 | 73 function retval = num2str (x, arg) |
4 | 74 |
4878 | 75 if (nargin != 1 && nargin != 2) |
5947 | 76 print_usage (); |
4878 | 77 endif |
78 | |
5443 | 79 if (ischar (x)) |
4878 | 80 retval = x; |
5947 | 81 elseif (isempty (x)) |
82 retval = ""; | |
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83 elseif (isreal (x)) |
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84 if (nargin == 2) |
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85 if (ischar (arg)) |
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86 fmt = arg; |
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87 else |
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88 if (isnumeric (x) && x == fix (x) |
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89 && abs (x) < min (10 .^ arg, intmax ("int32"))) |
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90 fmt = sprintf ("%%%dd ", arg); |
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91 else |
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92 fmt = sprintf ("%%%d.%dg", arg+7, arg); |
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93 endif |
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94 endif |
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95 else |
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96 if (isnumeric (x) && x == fix (x) && abs (x) < 1e10) |
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97 if (any (x(:) != 0)) |
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98 dgt = floor (log10 (max (abs (x(:))))) + (any (x(:) < 0)) + 2; |
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99 else |
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100 dgt = 2; |
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101 endif |
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102 if (any (abs (x(:)) > intmax ("int32"))) |
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103 fmt = sprintf ("%%%dg ", dgt); |
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104 else |
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105 fmt = sprintf ("%%%dd ", dgt); |
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106 endif |
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107 elseif (isscalar (x)) |
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108 fmt = "%11.5g"; |
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109 else |
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110 fmt = "%11.5g"; |
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111 endif |
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112 endif |
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113 fmt = cstrcat (deblank (repmat (fmt, 1, columns (x))), "\n"); |
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114 nd = ndims (x); |
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115 tmp = sprintf (fmt, permute (x, [2, 1, 3:nd])); |
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116 tmp(end) = ""; |
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117 retval = strtrim (char (strsplit (tmp, "\n"))); |
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118 else # complex x |
4878 | 119 if (nargin == 2) |
5443 | 120 if (ischar (arg)) |
10549 | 121 fmt = cstrcat (arg, "%-+", arg(2:end), "i"); |
4878 | 122 else |
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123 if (isnumeric (x) && x == fix (x) |
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124 && abs (x) < min (10 .^ arg, intmax ("int32"))) |
10549 | 125 fmt = sprintf ("%%%dd%%-+%ddi ", arg, arg); |
126 else | |
127 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", arg+7, arg, arg+7, arg); | |
128 endif | |
4878 | 129 endif |
130 else | |
131 ## Setup a suitable format string | |
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132 if (isnumeric (x) && x == fix (x) && abs (x) < 1e10) |
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133 if (any (real (x(:)) != 0)) |
10549 | 134 dgt1 = ceil (log10 (max (max (abs (real (x(:)))), |
135 max (abs (imag (x(:))))))) + 2; | |
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136 else |
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137 dgt1 = 2; |
10549 | 138 endif |
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139 dgt2 = dgt1 - (any (real (x(:)) >= 0)); |
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140 |
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141 if (any (abs (x(:)) > intmax ("int32"))) |
10549 | 142 fmt = sprintf("%%%dg%%+-%dgi ", dgt2, dgt1); |
143 else | |
144 fmt = sprintf("%%%dd%%+-%ddi ", dgt2, dgt1); | |
145 endif | |
4878 | 146 elseif (isscalar (x)) |
10549 | 147 fmt = "%.6g%-+.6gi"; |
4878 | 148 else |
10549 | 149 fmt = "%11.6g%-+11.6gi"; |
4878 | 150 endif |
151 endif | |
152 | |
153 ## Manipulate the complex value to have real values in the odd | |
4914 | 154 ## columns and imaginary values in the even columns. |
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155 nc = columns (x); |
4878 | 156 nd = ndims (x); |
4914 | 157 perm = fix ([1:0.5:nc+0.5]); |
158 perm(2:2:2*nc) = perm(2:2:2*nc) + nc; | |
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159 idx = repmat ({':'}, nd, 1); |
4914 | 160 idx{2} = perm; |
7208 | 161 x = horzcat (real (x), imag (x)); |
4914 | 162 x = x(idx{:}); |
5939 | 163 |
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164 fmt = cstrcat (deblank (repmat (fmt, 1, nc)), "\n"); |
4914 | 165 tmp = sprintf (fmt, permute (x, [2, 1, 3:nd])); |
4878 | 166 |
167 ## Put the "i"'s where they are supposed to be. | |
168 while (true) | |
169 tmp2 = strrep (tmp, " i\n", "i\n"); | |
4914 | 170 if (length (tmp) == length (tmp2)) |
10549 | 171 break; |
4878 | 172 else |
10549 | 173 tmp = tmp2; |
4878 | 174 endif |
175 endwhile | |
176 while (true) | |
177 tmp2 = strrep (tmp, " i", "i "); | |
178 if (tmp == tmp2) | |
10549 | 179 break; |
4878 | 180 else |
10549 | 181 tmp = tmp2; |
4878 | 182 endif |
183 endwhile | |
184 | |
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185 tmp(end) = ""; |
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186 retval = strtrim (char (strsplit (tmp, "\n"))); |
4 | 187 endif |
188 | |
189 endfunction | |
7411 | 190 |
191 | |
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192 %!assert (num2str (123), "123") |
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193 %!assert (num2str (1.23), "1.23") |
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194 %!assert (num2str (123.456, 4), "123.5") |
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195 %!assert (num2str ([1, 1.34; 3, 3.56], "%5.1f"), ["1.0 1.3"; "3.0 3.6"]) |
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196 %!assert (num2str (1.234 + 27.3i), "1.234+27.3i") |
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197 |
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198 %!assert (num2str (19440606), "19440606") |
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199 %!assert (num2str (2^33), "8.58993e+09") |
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200 %!assert (num2str (-2^33), "-8.58993e+09") |
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201 %!assert (num2str (2^33+1i), "8.58993e+09+1i") |
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202 %!assert (num2str (-2^33+1i), "-8.58993e+09+1i") |
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203 |
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204 %!error num2str () |
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205 %!error num2str (1, 2, 3) |
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206 |