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num2str: Take into account inf inputs. Add tests for inf and NaN
author Jordi Gutiérrez Hermoso <jordigh@octave.org>
date Wed, 05 Dec 2012 16:53:53 -0500
parents 34c932e669c8
children 576daea679fe
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72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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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 function retval = num2str (x, arg)
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64
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65 if (nargin != 1 && nargin != 2)
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66 print_usage ();
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67 elseif (! ismatrix (x))
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68 error ("num2str: X must be a numeric, logical, or character array");
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69 endif
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70
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71 if (ischar (x))
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72 retval = x;
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73 elseif (isempty (x))
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74 retval = "";
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75 elseif (isreal (x))
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76 if (nargin == 2)
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77 if (ischar (arg))
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78 fmt = arg;
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79 elseif (isnumeric (arg) && isscalar (arg) && arg >= 0)
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80 fmt = sprintf ("%%%d.%dg", arg+7, arg);
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81 else
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82 error ("num2str: PRECISION must be a scalar integer >= 0");
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83 endif
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84 else
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85 if (isnumeric (x))
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86 ## Setup a suitable format string, ignoring inf entries
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87 dgt = floor (log10 (max (abs (x(!isinf (x(:)))))));
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88
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89 ## If the whole input array is inf...
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90 if (isempty (dgt))
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91 dgt = 0;
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92 endif
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93
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94 if (any (x(:) != fix (x(:))))
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95 ## Floating point input
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96 dgt = max (dgt + 4, 5); # Keep 4 sig. figures after decimal point
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97 dgt = min (dgt, 16); # Cap significant digits at 16
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98 fmt = sprintf ("%%%d.%dg", dgt+7+any (x(:) < 0), dgt);
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99 else
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100 ## Integer input
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101 dgt = max (dgt + 1, 1);
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102 ## FIXME: Integers should be masked to show only 16 significant digits
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103 ## See %!xtest below
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104 fmt = sprintf ("%%%d.%dg", dgt+2+any (x(:) < 0), dgt);
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105 endif
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106 else
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107 ## Logical input
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108 fmt = "%3d";
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109 endif
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110 endif
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111 fmt = cstrcat (deblank (repmat (fmt, 1, columns (x))), "\n");
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112 nd = ndims (x);
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113 tmp = sprintf (fmt, permute (x, [2, 1, 3:nd]));
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114 retval = strtrim (char (strsplit (tmp(1:end-1), "\n")));
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115 else # Complex matrix input
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116 if (nargin == 2)
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117 if (ischar (arg))
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118 fmt = cstrcat (arg, "%-+", arg(2:end), "i");
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119 elseif (isnumeric (arg) && isscalar (arg) && arg >= 0)
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120 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", arg+7, arg, arg+7, arg);
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121 else
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122 error ("num2str: PRECISION must be a scalar integer >= 0");
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123 endif
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124 else
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125 ## Setup a suitable format string
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126 dgt = floor (log10 (max (max (abs (real (x(:)))),
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127 max (abs (imag (x(:)))))));
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128 if (any (x(:) != fix (x(:))))
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129 ## Floating point input
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130 dgt = max (dgt + 4, 5); # Keep 4 sig. figures after decimal point
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131 dgt = min (dgt, 16); # Cap significant digits at 16
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132 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", dgt+7, dgt, dgt+7, dgt);
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133 else
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134 ## Integer input
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135 dgt = max (1 + dgt, 1);
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136 ## FIXME: Integers should be masked to show only 16 significant digits
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137 ## See %!xtest below
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138 fmt = sprintf ("%%%d.%dg%%-+%d.%dgi", dgt+2, dgt, dgt+2, dgt);
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139 endif
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140 endif
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141
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142 ## Manipulate the complex value to have real values in the odd
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143 ## columns and imaginary values in the even columns.
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144 nc = columns (x);
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145 nd = ndims (x);
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146 idx = repmat ({':'}, nd, 1);
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147 perm(1:2:2*nc) = 1:nc;
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148 perm(2:2:2*nc) = nc + (1:nc);
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149 idx{2} = perm;
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150 x = horzcat (real (x), imag (x));
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151 x = x(idx{:});
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152
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153 fmt = cstrcat (deblank (repmat (fmt, 1, nc)), "\n");
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154 tmp = sprintf (fmt, permute (x, [2, 1, 3:nd]));
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155
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156 ## Put the "i"'s where they are supposed to be.
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157 tmp = regexprep (tmp, " +i\n", "i\n");
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158 tmp = regexprep (tmp, "( +)i", "i$1");
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159
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160 retval = strtrim (char (strsplit (tmp(1:end-1), "\n")));
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161 endif
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162
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163 endfunction
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164
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165
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166 %!assert (num2str (123), "123")
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167 %!assert (num2str (1.23), "1.23")
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168 %!assert (num2str (123.456, 4), "123.5")
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169 %!assert (num2str ([1, 1.34; 3, 3.56], "%5.1f"), ["1.0 1.3"; "3.0 3.6"])
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170 %!assert (num2str (1.234 + 27.3i), "1.234+27.3i")
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171 %!assert (num2str ([true false true]), "1 0 1");
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172
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173 %!assert (num2str (19440606), "19440606")
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174 %!assert (num2str (2^33), "8589934592")
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175 %!assert (num2str (-2^33), "-8589934592")
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176 %!assert (num2str (2^33+1i), "8589934592+1i")
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177 %!assert (num2str (-2^33+1i), "-8589934592+1i")
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178 %!assert (num2str (inf), "Inf")
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179 %!assert (num2str (nan), "NaN")
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180
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181 ## FIXME: Integers greater than bitmax() should be masked to show just
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182 ## 16 digits of precision.
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183 %!xtest
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184 %! assert (num2str (1e23), "100000000000000000000000");
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185
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186 %!error num2str ()
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187 %!error num2str (1, 2, 3)
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188 %!error <X must be a numeric> num2str ({1})
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189 %!error <PRECISION must be a scalar integer> num2str (1, {1})
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190 %!error <PRECISION must be a scalar integer> num2str (1, ones (2))
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191 %!error <PRECISION must be a scalar integer> num2str (1, -1)
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192 %!error <PRECISION must be a scalar integer> num2str (1+1i, {1})
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193 %!error <PRECISION must be a scalar integer> num2str (1+1i, ones (2))
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194 %!error <PRECISION must be a scalar integer> num2str (1+1i, -1)
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195