Mercurial > octave
annotate scripts/general/num2str.m @ 33623:4517f929c59d bytecode-interpreter tip
maint: Merge default to bytecode-interpreter
author | Arun Giridhar <arungiridhar@gmail.com> |
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date | Fri, 24 May 2024 16:22:41 -0400 |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 1993-2024 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/>. |
2313 | 7 ## |
8 ## This file is part of Octave. | |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
2313 | 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. |
2313 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
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. |
2313 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 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 ######################################################################## |
245 | 25 |
3361 | 26 ## -*- texinfo -*- |
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27 ## @deftypefn {} {@var{str} =} num2str (@var{x}) |
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28 ## @deftypefnx {} {@var{str} =} num2str (@var{x}, @var{precision}) |
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29 ## @deftypefnx {} {@var{str} =} num2str (@var{x}, @var{format}) |
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30 ## Convert a number (or array) to a string (or a character array). |
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31 ## |
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32 ## The optional second argument may either give the number of significant |
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33 ## digits (@var{precision}) to be used in the output or a format template |
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34 ## string (@var{format}) as in @code{sprintf} (@pxref{Formatted Output}). |
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35 ## @code{num2str} can also process complex numbers. |
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36 ## |
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37 ## Examples: |
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38 ## |
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39 ## @example |
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40 ## num2str (123.456) |
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41 ## @result{} 123.456 |
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42 ## |
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43 ## num2str (123.456, 4) |
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44 ## @result{} 123.5 |
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45 ## |
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46 ## s = num2str ([1, 1.34; 3, 3.56], "%5.1f") |
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47 ## @result{} s = |
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48 ## 1.0 1.3 |
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49 ## 3.0 3.6 |
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50 ## whos s |
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51 ## @result{} Variables in the current scope: |
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52 ## Attr Name Size Bytes Class |
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53 ## ==== ==== ==== ===== ===== |
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54 ## s 2x8 16 char |
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55 ## Total is 16 elements using 16 bytes |
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56 ## |
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57 ## num2str (1.234 + 27.3i) |
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58 ## @result{} 1.234+27.3i |
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59 ## @end example |
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60 ## |
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61 ## The @code{num2str} function is not very flexible. For better control |
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62 ## over the results, use @code{sprintf} (@pxref{Formatted Output}). |
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63 ## |
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64 ## Programming Notes: |
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65 ## |
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66 ## For @sc{matlab} compatibility, leading spaces are stripped before returning |
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67 ## the string. |
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68 ## |
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69 ## Integers larger than @code{flintmax} may not be displayed correctly. |
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70 ## |
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71 ## For complex @var{x}, the format string may only contain one output |
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72 ## conversion specification and nothing else. Otherwise, results will be |
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73 ## unpredictable. |
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74 ## |
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75 ## Any optional @var{format} specified by the programmer is used without |
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76 ## modification. This is in contrast to @sc{matlab} which tampers with the |
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77 ## @var{format} based on internal heuristics. |
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78 ## @seealso{sprintf, int2str, mat2str} |
3361 | 79 ## @end deftypefn |
4 | 80 |
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81 function str = num2str (x, arg) |
4 | 82 |
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83 if (nargin < 1) |
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85 elseif (! (isnumeric (x) || islogical (x) || ischar (x))) |
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86 error ("num2str: X must be a numeric, logical, or character array"); |
4878 | 87 endif |
88 | |
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90 str = x; |
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92 str = ""; |
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93 elseif (isreal (x)) |
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94 if (nargin == 2) |
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95 if (ischar (arg)) |
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96 fmt = arg; |
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97 elseif (isnumeric (arg) && isscalar (arg) && arg >= 0 && arg == fix (arg)) |
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98 if (isfloat (x)) |
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99 fmt = sprintf ("%%%d.%dg", arg+7, arg); |
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100 else |
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101 fmt = sprintf ("%%%dd", arg); |
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102 endif |
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103 else |
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104 error ("num2str: PRECISION must be a scalar integer >= 0"); |
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105 endif |
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106 else |
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107 if (isnumeric (x)) |
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108 ## Set up a suitable format string while ignoring Inf/NaN entries |
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109 valid = isfinite (x(:)); |
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110 ndgt = floor (log10 (max (abs (x(valid))))); |
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111 if (isempty (ndgt) || ndgt == -Inf) |
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112 ndgt = 0; # All Inf or all zero array |
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113 endif |
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114 |
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115 if (ndgt > 15 || any (x(valid) != fix (x(valid)))) |
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116 ## Floating point input |
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117 ndgt = max (ndgt + 5, 5); # Keep at least 5 significant digits |
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118 ndgt = min (ndgt, 16); # Cap significant digits at 16 |
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119 fmt = sprintf ("%%%d.%dg", ndgt+7, ndgt); |
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120 else |
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121 ## Integer input |
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122 ndgt += 3; |
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123 if (any (! valid)) |
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124 ndgt = max (ndgt, 5); # Allow space for Inf/NaN |
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125 endif |
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126 if (isfloat (x)) |
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127 fmt = sprintf ("%%%d.0f", ndgt); |
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128 else |
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129 fmt = sprintf ("%%%dd", ndgt); |
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130 endif |
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131 endif |
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132 else |
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133 ## Logical input |
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134 fmt = "%3d"; |
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135 endif |
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136 endif |
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137 fmt = do_string_escapes (fmt); # required now that '\n' is interpreted. |
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138 nd = ndims (x); |
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139 nc = columns (x) * (nd - 1); # ND-arrays are expanded in columns |
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140 x = permute (x, [2, 3:nd, 1]); |
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141 if (! (sum (strrep (fmt, "%%", "") == "%") > 1 |
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142 || any (strcmp (fmt, {"%s", "%c"})))) |
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143 fmt = [deblank(repmat (fmt, 1, nc)), "\n"]; |
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144 endif |
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145 strtmp = sprintf (fmt, x); |
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146 str = strtrim (char (ostrsplit (strtmp, "\n", true))); |
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147 else # Complex matrix input |
4878 | 148 if (nargin == 2) |
5443 | 149 if (ischar (arg)) |
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150 fmt = [deblank(arg) "%-+" arg(2:end) "i"]; |
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151 elseif (isnumeric (arg) && isscalar (arg) && arg >= 0 && arg == fix (arg)) |
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152 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", arg+7, arg, arg+7, arg); |
4878 | 153 else |
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154 error ("num2str: PRECISION must be a scalar integer >= 0"); |
4878 | 155 endif |
156 else | |
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157 ## Set up a suitable format string while ignoring Inf/NaN entries |
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158 valid_real = isfinite (real (x(:))); |
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159 valid_imag = isfinite (imag (x(:))); |
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160 ndgt = floor (log10 (max (max (abs (real (x(valid_real)))), |
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161 max (abs (imag (x(valid_imag))))))); |
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162 if (isempty (ndgt) || ndgt == -Inf) |
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163 ndgt = 0; # All Inf or all zero array |
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164 endif |
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165 |
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166 if (any (x(valid_real & valid_imag) != fix (x(valid_real & valid_imag)))) |
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167 ## Floating point input |
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168 ndgt = max (ndgt + 5, 5); # Keep at least 5 significant digits |
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169 ndgt = min (ndgt, 16); # Cap significant digits at 16 |
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170 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", ndgt+7, ndgt, ndgt+7, ndgt); |
4878 | 171 else |
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172 ## Integer input |
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173 ndgt += 3; |
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174 ## FIXME: Integers must be masked to show only 16 significant digits |
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175 ## See test case for bug #36133 below |
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176 fmt = sprintf ("%%%d.0f%%-+%d.0fi", ndgt, ndgt); |
4878 | 177 endif |
178 endif | |
179 | |
180 ## Manipulate the complex value to have real values in the odd | |
4914 | 181 ## columns and imaginary values in the even columns. |
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182 nd = ndims (x); |
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183 nc = columns (x); |
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184 idx = repmat ({':'}, nd, 1); |
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185 perm(1:2:2*nc) = 1:nc; |
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186 perm(2:2:2*nc) = nc + (1:nc); |
4914 | 187 idx{2} = perm; |
7208 | 188 x = horzcat (real (x), imag (x)); |
4914 | 189 x = x(idx{:}); |
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190 |
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191 fmt = [deblank(repmat(fmt, 1, nc * (nd - 1))), "\n"]; |
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192 tmp = sprintf (fmt, permute (x, [2, 3:nd, 1])); |
4878 | 193 |
194 ## Put the "i"'s where they are supposed to be. | |
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195 tmp = regexprep (tmp, " +i\n", "i\n"); |
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196 tmp = regexprep (tmp, "( +)i", "i$1"); |
4878 | 197 |
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198 str = strtrim (char (ostrsplit (tmp(1:end-1), "\n"))); |
4 | 199 endif |
200 | |
201 endfunction | |
7411 | 202 |
203 | |
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204 ## Basic tests |
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205 %!assert (num2str (123), "123") |
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206 %!assert (num2str (1.23), "1.23") |
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207 %!assert (num2str (123.456, 4), "123.5") |
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208 %!assert (num2str ([1, 1.34; 3, 3.56], "%5.1f"), ["1.0 1.3"; "3.0 3.6"]) |
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209 %!assert (num2str (1.234 + 27.3i), "1.234+27.3i") |
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210 %!assert (num2str ([true false true]), "1 0 1") |
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211 |
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212 ## Exceptional values |
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213 %!assert (num2str (19440606), "19440606") |
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214 %!assert (num2str (2^33), "8589934592") |
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215 %!assert (num2str (-2^33), "-8589934592") |
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216 %!assert (num2str (2^33+1i), "8589934592+1i") |
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217 %!assert (num2str (-2^33+1i), "-8589934592+1i") |
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218 %!assert (num2str ([0 0 0]), "0 0 0") |
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219 %!assert (num2str (inf), "Inf") |
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220 %!assert (num2str ([inf -inf]), "Inf -Inf") |
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221 %!assert (num2str ([inf NaN -inf]), "Inf NaN -Inf") |
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222 %!assert (num2str ([complex(Inf,0), complex(0,-Inf)]), "Inf+0i 0-Infi") |
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223 %!assert (num2str (complex (Inf,1)), "Inf+1i") |
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224 %!assert (num2str (complex (1,Inf)), "1+Infi") |
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225 %!assert (num2str (nan), "NaN") |
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226 %!assert (num2str (complex (NaN, 1)), "NaN+1i") |
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227 %!assert (num2str (complex (1, NaN)), "1+NaNi") |
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228 %!assert (num2str (NA), "NA") |
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229 %!assert (num2str (complex (NA, 1)), "NA+1i") |
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230 %!assert (num2str (complex (1, NA)), "1+NAi") |
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231 %!assert (num2str (int64 (-flintmax ()) - 1), "-9007199254740993") |
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232 %!assert (num2str (int64 (-flintmax ()) - 1, 18), "-9007199254740993") |
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233 |
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234 ## ND-arrays are concatenated in columns |
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235 %!shared m, x |
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236 %! m = magic (3); |
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237 %! x = cat (3, m, -m); |
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238 |
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239 ## real case |
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240 %!test <*46770> |
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241 %! y = num2str (x); |
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242 %! assert (rows (y) == 3); |
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Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
Rik <rik@octave.org>
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243 %! assert (y, ["8 1 6 -8 -1 -6" |
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244 %! "3 5 7 -3 -5 -7" |
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245 %! "4 9 2 -4 -9 -2"]); |
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num2str.m: Expand ND-arrays in columns for Matlab compatibility (bug #46770).
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246 |
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247 ## complex case |
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248 %!test <*46770> |
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249 %! x(1,1,2) = -8+2i; |
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250 %! y = num2str (x); |
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251 %! assert (rows (y) == 3); |
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252 %! assert (y, ["8+0i 1+0i 6+0i -8+2i -1+0i -6+0i" |
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253 %! "3+0i 5+0i 7+0i -3+0i -5+0i -7+0i" |
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254 %! "4+0i 9+0i 2+0i -4+0i -9+0i -2+0i"]); |
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255 |
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256 ## Clear shared variables |
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257 %!shared |
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258 |
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num2str.m: Ensure Matlab compatibility for numbers greater than 1e15 (bug #36133)
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259 ## Integers greater than 1e15 should switch to exponential notation |
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260 %!assert <*36133> (num2str (1e15), "1000000000000000") |
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261 %!assert <*36133> (num2str (1e16), "1e+16") |
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262 ## Even exact integers in IEEE notation should use exponential notation |
28912
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maint: Use Octave convention of space after function name in scripts dir.
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263 %!assert <*36133> (num2str (2^512), "1.34078079299426e+154") |
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264 ## Mixed integer/floating point arrays |
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265 %!assert <*36133> (num2str ([2.1, 1e23, pi]), |
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266 %! "2.1 9.999999999999999e+22 3.141592653589793") |
14537
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num2str.m: Update function to address bug #36117 and bug #36121.
Rik <octave@nomad.inbox5.com>
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267 |
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268 ## Large integers should not switch sign when printed due to overflow |
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269 %!assert <*36121> (num2str (2.4e9, 15), "2400000000") |
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270 |
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test: Add bug ids (<#####>) to BIST tests.
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271 ## Test for extra rows generated from newlines in format |
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272 %!assert <*44864> (rows (num2str (magic (3), "%3d %3d %3d\n")), 3) |
20195
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num2str.m: Correctly parse newlines in single-quoted format strings (bug #44684).
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273 |
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274 ## Test that string conversion of numeric objects results in characters |
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275 ## if the numbers are within range for ASCII. |
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276 %!assert <*45174> (num2str ([65 66 67], "%s"), "ABC") |
20266
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num2str.m: Fixed two Matlab compatibility issues (bug #45174, bug #44864).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
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277 |
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278 ## Test input validation |
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test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
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279 %!error <Invalid call> num2str () |
14538
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num2str.m: Redraft code for better Matlab compatibility.
Rik <octave@nomad.inbox5.com>
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280 %!error <X must be a numeric> num2str ({1}) |
21057
b0afe1993268
Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
Rik <rik@octave.org>
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281 %!error <PRECISION must be a scalar integer .= 0> num2str (1, {1}) |
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282 %!error <PRECISION must be a scalar integer .= 0> num2str (1, ones (2)) |
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283 %!error <PRECISION must be a scalar integer .= 0> num2str (1, -1) |
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Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
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284 %!error <PRECISION must be a scalar integer .= 0> num2str (1, 1.5) |
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285 %!error <PRECISION must be a scalar integer .= 0> num2str (1+1i, {1}) |
b0afe1993268
Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
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286 %!error <PRECISION must be a scalar integer .= 0> num2str (1+1i, ones (2)) |
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Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
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287 %!error <PRECISION must be a scalar integer .= 0> num2str (1+1i, -1) |
b0afe1993268
Overhaul num2str.m and int2str.m for Matlab compatibility (bug #46770).
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288 %!error <PRECISION must be a scalar integer .= 0> num2str (1+1i, 1.5) |