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>
date Sat, 07 Apr 2012 13:10:20 -0700
parents f3d52523cde1
children 34c932e669c8
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72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 1993-2012 John W. Eaton
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} num2str (@var{x})
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21 ## @deftypefnx {Function File} {} num2str (@var{x}, @var{precision})
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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}
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59 ## @end deftypefn
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60
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61 ## Author: jwe
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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
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73 function retval = num2str (x, arg)
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74
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75 if (nargin != 1 && nargin != 2)
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76 print_usage ();
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77 endif
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78
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79 if (ischar (x))
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80 retval = x;
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81 elseif (isempty (x))
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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
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119 if (nargin == 2)
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120 if (ischar (arg))
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121 fmt = cstrcat (arg, "%-+", arg(2:end), "i");
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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")))
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125 fmt = sprintf ("%%%dd%%-+%ddi ", arg, arg);
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126 else
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127 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", arg+7, arg, arg+7, arg);
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128 endif
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129 endif
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130 else
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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))
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134 dgt1 = ceil (log10 (max (max (abs (real (x(:)))),
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135 max (abs (imag (x(:))))))) + 2;
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parents: 14363
diff changeset
136 else
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137 dgt1 = 2;
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138 endif
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139 dgt2 = dgt1 - (any (real (x(:)) >= 0));
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John W. Eaton <jwe@octave.org>
parents: 11523
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140
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141 if (any (abs (x(:)) > intmax ("int32")))
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142 fmt = sprintf("%%%dg%%+-%dgi ", dgt2, dgt1);
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143 else
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144 fmt = sprintf("%%%dd%%+-%ddi ", dgt2, dgt1);
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diff changeset
145 endif
4878
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146 elseif (isscalar (x))
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147 fmt = "%.6g%-+.6gi";
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148 else
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149 fmt = "%11.6g%-+11.6gi";
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150 endif
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jwe
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151 endif
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152
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jwe
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153 ## Manipulate the complex value to have real values in the odd
4914
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jwe
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154 ## columns and imaginary values in the even columns.
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155 nc = columns (x);
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156 nd = ndims (x);
4914
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157 perm = fix ([1:0.5:nc+0.5]);
1c0442da75fd [project @ 2004-07-23 16:55:13 by jwe]
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diff changeset
158 perm(2:2:2*nc) = perm(2:2:2*nc) + nc;
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159 idx = repmat ({':'}, nd, 1);
4914
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160 idx{2} = perm;
7208
a730e47fda4d [project @ 2007-11-28 02:32:41 by jwe]
jwe
parents: 7017
diff changeset
161 x = horzcat (real (x), imag (x));
4914
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jwe
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diff changeset
162 x = x(idx{:});
5939
2e86e3601e0f [project @ 2006-08-18 17:40:41 by jwe]
jwe
parents: 5642
diff changeset
163
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3422f39573b1 strcat.m: Matlab compatibility, with cstrcat.m replacing conventional strcat.m.
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
164 fmt = cstrcat (deblank (repmat (fmt, 1, nc)), "\n");
4914
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165 tmp = sprintf (fmt, permute (x, [2, 1, 3:nd]));
4878
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166
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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167 ## Put the "i"'s where they are supposed to be.
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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diff changeset
168 while (true)
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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169 tmp2 = strrep (tmp, " i\n", "i\n");
4914
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170 if (length (tmp) == length (tmp2))
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171 break;
4878
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172 else
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diff changeset
173 tmp = tmp2;
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174 endif
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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diff changeset
175 endwhile
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
parents: 4691
diff changeset
176 while (true)
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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diff changeset
177 tmp2 = strrep (tmp, " i", "i ");
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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diff changeset
178 if (tmp == tmp2)
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179 break;
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diff changeset
180 else
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diff changeset
181 tmp = tmp2;
4878
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diff changeset
182 endif
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
parents: 4691
diff changeset
183 endwhile
4eaf35cfdb11 [project @ 2004-04-23 15:42:10 by jwe]
jwe
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diff changeset
184
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185 tmp(end) = "";
8893
937b58380b6a num2str.m: Trivial bug fix. Recent switch from split() to strsplit() produced cells rather than character data.
Ben Abbott <bpabbott@mac.com>
parents: 8886
diff changeset
186 retval = strtrim (char (strsplit (tmp, "\n")));
4
b4df021f796c [project @ 1993-08-08 01:26:08 by jwe]
jwe
parents:
diff changeset
187 endif
b4df021f796c [project @ 1993-08-08 01:26:08 by jwe]
jwe
parents:
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188
b4df021f796c [project @ 1993-08-08 01:26:08 by jwe]
jwe
parents:
diff changeset
189 endfunction
7411
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jwe
parents: 7208
diff changeset
190
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7208
diff changeset
191
14363
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diff changeset
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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diff changeset
198 %!assert (num2str (19440606), "19440606")
f8e041f11b18 num2str.m: Update function to address bug #36117 and bug #36121.
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199 %!assert (num2str (2^33), "8.58993e+09")
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200 %!assert (num2str (-2^33), "-8.58993e+09")
f8e041f11b18 num2str.m: Update function to address bug #36117 and bug #36121.
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diff changeset
201 %!assert (num2str (2^33+1i), "8.58993e+09+1i")
f8e041f11b18 num2str.m: Update function to address bug #36117 and bug #36121.
Rik <octave@nomad.inbox5.com>
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diff changeset
202 %!assert (num2str (-2^33+1i), "-8.58993e+09+1i")
f8e041f11b18 num2str.m: Update function to address bug #36117 and bug #36121.
Rik <octave@nomad.inbox5.com>
parents: 14363
diff changeset
203
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diff changeset
204 %!error num2str ()
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
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diff changeset
205 %!error num2str (1, 2, 3)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
206