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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 2, or (at your option) any |
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10 later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <cfloat> |
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28 #include <cmath> |
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29 |
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30 #include <string> |
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31 |
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2184
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32 #include "lo-ieee.h" |
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1755
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33 #include "str-vec.h" |
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34 #include "quit.h" |
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35 |
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36 #include "defun.h" |
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37 #include "error.h" |
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38 #include "gripes.h" |
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2366
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39 #include "ov.h" |
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40 #include "variables.h" |
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1742
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41 #include "oct-obj.h" |
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42 #include "utils.h" |
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43 |
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44 #define ANY_ALL(FCN) \ |
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45 \ |
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46 octave_value retval; \ |
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47 \ |
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48 int nargin = args.length (); \ |
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49 \ |
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50 if (nargin == 1 || nargin == 2) \ |
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51 { \ |
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52 int dim = (nargin == 1 ? -1 : args(1).int_value (true) - 1); \ |
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53 \ |
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54 if (! error_state) \ |
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55 { \ |
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56 if (dim <= 1 && dim >= -1) \ |
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57 retval = args(0).FCN (dim); \ |
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58 else \ |
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59 error (#FCN ": invalid dimension argument = %d", dim + 1); \ |
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60 } \ |
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61 else \ |
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62 error (#FCN ": expecting dimension argument to be an integer"); \ |
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63 } \ |
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64 else \ |
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65 print_usage (#FCN); \ |
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66 \ |
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67 return retval |
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68 |
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69 DEFUN (all, args, , |
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70 "-*- texinfo -*-\n\ |
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71 @deftypefn {Built-in Function} {} all (@var{x}, @var{dim})\n\ |
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72 The function @code{all} behaves like the function @code{any}, except\n\ |
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73 that it returns true only if all the elements of a vector, or all the\n\ |
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74 elements along dimension @var{dim} of a matrix, are nonzero.\n\ |
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75 @end deftypefn") |
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76 { |
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77 ANY_ALL (all); |
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78 } |
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79 |
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80 DEFUN (any, args, , |
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81 "-*- texinfo -*-\n\ |
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82 @deftypefn {Built-in Function} {} any (@var{x}, @var{dim})\n\ |
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83 For a vector argument, return 1 if any element of the vector is\n\ |
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84 nonzero.\n\ |
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85 \n\ |
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86 For a matrix argument, return a row vector of ones and\n\ |
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87 zeros with each element indicating whether any of the elements of the\n\ |
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88 corresponding column of the matrix are nonzero. For example,\n\ |
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89 \n\ |
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90 @example\n\ |
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91 @group\n\ |
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92 any (eye (2, 4))\n\ |
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93 @result{} [ 1, 1, 0, 0 ]\n\ |
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94 @end group\n\ |
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95 @end example\n\ |
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96 \n\ |
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97 If the optional argument @var{dim} is supplied, work along dimension\n\ |
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98 @var{dim}. For example,\n\ |
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99 \n\ |
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100 @example\n\ |
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101 @group\n\ |
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102 any (eye (2, 4), 2)\n\ |
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103 @result{} [ 1; 1 ]\n\ |
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104 @end group\n\ |
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105 @end example\n\ |
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106 @end deftypefn") |
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107 { |
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108 ANY_ALL (any); |
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109 } |
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110 |
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111 // These mapping functions may also be useful in other places, eh? |
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112 |
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113 typedef double (*d_dd_fcn) (double, double); |
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114 |
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115 static Matrix |
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116 map_d_m (d_dd_fcn f, double x, const Matrix& y) |
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117 { |
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118 int nr = y.rows (); |
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119 int nc = y.columns (); |
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120 |
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121 Matrix retval (nr, nc); |
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122 |
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123 for (int j = 0; j < nc; j++) |
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124 for (int i = 0; i < nr; i++) |
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125 { |
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126 OCTAVE_QUIT; |
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127 retval (i, j) = f (x, y (i, j)); |
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128 } |
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129 |
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130 return retval; |
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131 } |
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132 |
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133 static Matrix |
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134 map_m_d (d_dd_fcn f, const Matrix& x, double y) |
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135 { |
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136 int nr = x.rows (); |
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137 int nc = x.columns (); |
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138 |
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139 Matrix retval (nr, nc); |
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140 |
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141 for (int j = 0; j < nc; j++) |
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142 for (int i = 0; i < nr; i++) |
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143 { |
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144 OCTAVE_QUIT; |
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145 retval (i, j) = f (x (i, j), y); |
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146 } |
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147 |
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148 return retval; |
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149 } |
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150 |
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151 static Matrix |
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152 map_m_m (d_dd_fcn f, const Matrix& x, const Matrix& y) |
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153 { |
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154 int x_nr = x.rows (); |
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155 int x_nc = x.columns (); |
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156 |
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157 int y_nr = y.rows (); |
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158 int y_nc = y.columns (); |
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159 |
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719
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160 assert (x_nr == y_nr && x_nc == y_nc); |
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161 |
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162 Matrix retval (x_nr, x_nc); |
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163 |
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164 for (int j = 0; j < x_nc; j++) |
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165 for (int i = 0; i < x_nr; i++) |
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166 { |
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167 OCTAVE_QUIT; |
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168 retval (i, j) = f (x (i, j), y (i, j)); |
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169 } |
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170 |
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171 return retval; |
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172 } |
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173 |
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174 DEFUN (atan2, args, , |
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175 "-*- texinfo -*-\n\ |
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176 @deftypefn {Mapping Function} {} atan2 (@var{y}, @var{x})\n\ |
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177 Compute atan (@var{y} / @var{x}) for corresponding elements of @var{y}\n\ |
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178 and @var{x}. The result is in range -pi to pi.\n\ |
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179 @end deftypefn") |
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649
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180 { |
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181 octave_value retval; |
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182 |
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183 int nargin = args.length (); |
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184 |
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185 if (nargin == 2 && args(0).is_defined () && args(1).is_defined ()) |
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186 { |
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187 octave_value arg_y = args(0); |
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188 octave_value arg_x = args(1); |
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189 |
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190 int y_nr = arg_y.rows (); |
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191 int y_nc = arg_y.columns (); |
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192 |
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193 int x_nr = arg_x.rows (); |
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194 int x_nc = arg_x.columns (); |
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195 |
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196 int arg_y_empty = empty_arg ("atan2", y_nr, y_nc); |
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197 int arg_x_empty = empty_arg ("atan2", x_nr, x_nc); |
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198 |
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719
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199 if (arg_y_empty > 0 && arg_x_empty > 0) |
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200 return octave_value (Matrix ()); |
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201 else if (arg_y_empty || arg_x_empty) |
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202 return retval; |
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203 |
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204 int y_is_scalar = (y_nr == 1 && y_nc == 1); |
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205 int x_is_scalar = (x_nr == 1 && x_nc == 1); |
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206 |
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207 if (y_is_scalar && x_is_scalar) |
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208 { |
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209 double y = arg_y.double_value (); |
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210 |
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211 if (! error_state) |
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212 { |
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213 double x = arg_x.double_value (); |
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214 |
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215 if (! error_state) |
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216 retval = atan2 (y, x); |
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217 } |
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218 } |
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219 else if (y_is_scalar) |
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220 { |
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221 double y = arg_y.double_value (); |
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222 |
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223 if (! error_state) |
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224 { |
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225 Matrix x = arg_x.matrix_value (); |
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226 |
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227 if (! error_state) |
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228 retval = map_d_m (atan2, y, x); |
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229 } |
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230 } |
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231 else if (x_is_scalar) |
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232 { |
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233 Matrix y = arg_y.matrix_value (); |
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234 |
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235 if (! error_state) |
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236 { |
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237 double x = arg_x.double_value (); |
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238 |
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239 if (! error_state) |
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240 retval = map_m_d (atan2, y, x); |
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241 } |
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242 } |
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243 else if (y_nr == x_nr && y_nc == x_nc) |
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244 { |
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245 Matrix y = arg_y.matrix_value (); |
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246 |
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247 if (! error_state) |
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248 { |
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249 Matrix x = arg_x.matrix_value (); |
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250 |
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251 if (! error_state) |
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252 retval = map_m_m (atan2, y, x); |
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253 } |
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254 } |
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255 else |
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256 error ("atan2: nonconformant matrices"); |
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257 } |
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258 else |
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259 print_usage ("atan2"); |
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260 |
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261 return retval; |
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262 } |
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263 |
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264 DEFUN (fmod, args, , |
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265 "-*- texinfo -*-\n\ |
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266 @deftypefn {Mapping Function} {} fmod (@var{x}, @var{y})\n\ |
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267 Compute the floating point remainder of @var{y} / @var{x} using the C\n\ |
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268 library function @code{fmod}. The result has the same sign as @var{x}.\n\ |
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269 If @var{y} is zero, the result implementation-defined.\n\ |
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270 @end deftypefn") |
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271 { |
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272 octave_value retval; |
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273 |
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274 int nargin = args.length (); |
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275 |
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276 if (nargin == 2 && args(0).is_defined () && args(1).is_defined ()) |
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277 { |
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278 octave_value arg_x = args(0); |
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279 octave_value arg_y = args(1); |
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280 |
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281 int y_nr = arg_y.rows (); |
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282 int y_nc = arg_y.columns (); |
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283 |
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284 int x_nr = arg_x.rows (); |
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285 int x_nc = arg_x.columns (); |
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286 |
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287 int arg_y_empty = empty_arg ("fmod", y_nr, y_nc); |
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288 int arg_x_empty = empty_arg ("fmod", x_nr, x_nc); |
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289 |
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290 if (arg_y_empty > 0 && arg_x_empty > 0) |
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291 return octave_value (Matrix ()); |
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292 else if (arg_y_empty || arg_x_empty) |
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293 return retval; |
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294 |
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295 int y_is_scalar = (y_nr == 1 && y_nc == 1); |
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296 int x_is_scalar = (x_nr == 1 && x_nc == 1); |
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297 |
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298 if (y_is_scalar && x_is_scalar) |
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299 { |
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300 double y = arg_y.double_value (); |
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301 |
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302 if (! error_state) |
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303 { |
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304 double x = arg_x.double_value (); |
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305 |
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306 if (! error_state) |
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307 retval = fmod (x, y); |
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308 } |
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309 } |
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310 else if (y_is_scalar) |
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311 { |
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312 double y = arg_y.double_value (); |
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313 |
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314 if (! error_state) |
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315 { |
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316 Matrix x = arg_x.matrix_value (); |
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317 |
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318 if (! error_state) |
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319 retval = map_m_d (fmod, x, y); |
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320 } |
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321 } |
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322 else if (x_is_scalar) |
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323 { |
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324 Matrix y = arg_y.matrix_value (); |
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325 |
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326 if (! error_state) |
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327 { |
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328 double x = arg_x.double_value (); |
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329 |
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330 if (! error_state) |
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331 retval = map_d_m (fmod, x, y); |
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332 } |
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333 } |
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334 else if (y_nr == x_nr && y_nc == x_nc) |
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335 { |
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336 Matrix y = arg_y.matrix_value (); |
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337 |
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338 if (! error_state) |
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339 { |
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340 Matrix x = arg_x.matrix_value (); |
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341 |
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342 if (! error_state) |
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343 retval = map_m_m (fmod, x, y); |
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344 } |
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345 } |
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346 else |
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347 error ("fmod: nonconformant matrices"); |
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348 } |
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349 else |
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350 print_usage ("fmod"); |
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351 |
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352 return retval; |
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353 } |
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354 |
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3723
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355 #define DATA_REDUCTION(FCN) \ |
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356 \ |
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357 octave_value retval; \ |
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358 \ |
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359 int nargin = args.length (); \ |
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360 \ |
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361 if (nargin == 1 || nargin == 2) \ |
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362 { \ |
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363 octave_value arg = args(0); \ |
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364 \ |
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3864
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365 int dim = (nargin == 1 ? -1 : args(1).int_value (true) - 1); \ |
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3723
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366 \ |
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367 if (! error_state) \ |
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368 { \ |
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3864
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369 if (dim <= 1 && dim >= -1) \ |
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3723
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370 { \ |
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371 if (arg.is_real_type ()) \ |
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372 { \ |
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373 Matrix tmp = arg.matrix_value (); \ |
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374 \ |
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375 if (! error_state) \ |
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376 retval = tmp.FCN (dim); \ |
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3723
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377 } \ |
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378 else if (arg.is_complex_type ()) \ |
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379 { \ |
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380 ComplexMatrix tmp = arg.complex_matrix_value (); \ |
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381 \ |
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382 if (! error_state) \ |
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383 retval = tmp.FCN (dim); \ |
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3723
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384 } \ |
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385 else \ |
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386 { \ |
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387 gripe_wrong_type_arg (#FCN, arg); \ |
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388 return retval; \ |
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389 } \ |
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390 } \ |
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391 else \ |
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392 error (#FCN ": invalid dimension argument = %d", dim + 1); \ |
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393 } \ |
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394 } \ |
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395 else \ |
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396 print_usage (#FCN); \ |
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397 \ |
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398 return retval |
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399 |
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1957
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400 DEFUN (cumprod, args, , |
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3428
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401 "-*- texinfo -*-\n\ |
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3723
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402 @deftypefn {Built-in Function} {} cumprod (@var{x}, @var{dim})\n\ |
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403 Cumulative product of elements along dimension @var{dim}. If\n\ |
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404 @var{dim} is omitted, it defaults to 1 (column-wise cumulative\n\ |
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405 products).\n\ |
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3428
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406 @end deftypefn") |
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523
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407 { |
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3723
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408 DATA_REDUCTION (cumprod); |
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523
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409 } |
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410 |
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1957
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411 DEFUN (cumsum, args, , |
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3428
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412 "-*- texinfo -*-\n\ |
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3723
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413 @deftypefn {Built-in Function} {} cumsum (@var{x}, @var{dim})\n\ |
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414 Cumulative sum of elements along dimension @var{dim}. If @var{dim}\n\ |
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415 is omitted, it defaults to 1 (column-wise cumulative sums).\n\ |
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3428
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416 @end deftypefn") |
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523
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417 { |
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3723
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418 DATA_REDUCTION (cumsum); |
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523
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419 } |
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420 |
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3972
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421 // XXX FIXME XXX -- we could eliminate some duplicate code here with |
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422 // some template functions or macros. |
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423 |
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2086
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424 static octave_value |
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767
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425 make_diag (const Matrix& v, int k) |
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426 { |
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427 int nr = v.rows (); |
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428 int nc = v.columns (); |
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429 assert (nc == 1 || nr == 1); |
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430 |
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2086
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431 octave_value retval; |
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767
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432 |
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433 int roff = 0; |
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434 int coff = 0; |
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435 if (k > 0) |
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436 { |
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437 roff = 0; |
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438 coff = k; |
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439 } |
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440 else if (k < 0) |
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441 { |
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442 roff = -k; |
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443 coff = 0; |
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444 } |
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445 |
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446 if (nr == 1) |
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447 { |
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4479
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448 int n = nc + std::abs (k); |
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767
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449 Matrix m (n, n, 0.0); |
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450 for (int i = 0; i < nc; i++) |
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2305
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451 m (i+roff, i+coff) = v (0, i); |
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4233
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452 retval = m; |
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767
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453 } |
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454 else |
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455 { |
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4479
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456 int n = nr + std::abs (k); |
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767
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457 Matrix m (n, n, 0.0); |
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458 for (int i = 0; i < nr; i++) |
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2305
|
459 m (i+roff, i+coff) = v (i, 0); |
|
4233
|
460 retval = m; |
|
767
|
461 } |
|
|
462 |
|
|
463 return retval; |
|
|
464 } |
|
|
465 |
|
2086
|
466 static octave_value |
|
767
|
467 make_diag (const ComplexMatrix& v, int k) |
|
|
468 { |
|
|
469 int nr = v.rows (); |
|
|
470 int nc = v.columns (); |
|
|
471 assert (nc == 1 || nr == 1); |
|
|
472 |
|
2086
|
473 octave_value retval; |
|
767
|
474 |
|
|
475 int roff = 0; |
|
|
476 int coff = 0; |
|
|
477 if (k > 0) |
|
|
478 { |
|
|
479 roff = 0; |
|
|
480 coff = k; |
|
|
481 } |
|
|
482 else if (k < 0) |
|
|
483 { |
|
|
484 roff = -k; |
|
|
485 coff = 0; |
|
|
486 } |
|
|
487 |
|
|
488 if (nr == 1) |
|
|
489 { |
|
4479
|
490 int n = nc + std::abs (k); |
|
767
|
491 ComplexMatrix m (n, n, 0.0); |
|
|
492 for (int i = 0; i < nc; i++) |
|
2305
|
493 m (i+roff, i+coff) = v (0, i); |
|
4233
|
494 retval = m; |
|
767
|
495 } |
|
|
496 else |
|
|
497 { |
|
4479
|
498 int n = nr + std::abs (k); |
|
767
|
499 ComplexMatrix m (n, n, 0.0); |
|
|
500 for (int i = 0; i < nr; i++) |
|
2305
|
501 m (i+roff, i+coff) = v (i, 0); |
|
4233
|
502 retval = m; |
|
767
|
503 } |
|
|
504 |
|
|
505 return retval; |
|
|
506 } |
|
|
507 |
|
2086
|
508 static octave_value |
|
|
509 make_diag (const octave_value& arg) |
|
767
|
510 { |
|
2086
|
511 octave_value retval; |
|
767
|
512 |
|
|
513 if (arg.is_real_type ()) |
|
|
514 { |
|
|
515 Matrix m = arg.matrix_value (); |
|
|
516 |
|
|
517 if (! error_state) |
|
|
518 { |
|
|
519 int nr = m.rows (); |
|
|
520 int nc = m.columns (); |
|
|
521 |
|
|
522 if (nr == 0 || nc == 0) |
|
|
523 retval = Matrix (); |
|
|
524 else if (nr == 1 || nc == 1) |
|
|
525 retval = make_diag (m, 0); |
|
|
526 else |
|
|
527 { |
|
|
528 ColumnVector v = m.diag (); |
|
|
529 if (v.capacity () > 0) |
|
|
530 retval = v; |
|
|
531 } |
|
|
532 } |
|
|
533 else |
|
|
534 gripe_wrong_type_arg ("diag", arg); |
|
|
535 } |
|
|
536 else if (arg.is_complex_type ()) |
|
|
537 { |
|
|
538 ComplexMatrix cm = arg.complex_matrix_value (); |
|
|
539 |
|
|
540 if (! error_state) |
|
|
541 { |
|
|
542 int nr = cm.rows (); |
|
|
543 int nc = cm.columns (); |
|
|
544 |
|
|
545 if (nr == 0 || nc == 0) |
|
|
546 retval = Matrix (); |
|
|
547 else if (nr == 1 || nc == 1) |
|
|
548 retval = make_diag (cm, 0); |
|
|
549 else |
|
|
550 { |
|
|
551 ComplexColumnVector v = cm.diag (); |
|
|
552 if (v.capacity () > 0) |
|
|
553 retval = v; |
|
|
554 } |
|
|
555 } |
|
|
556 else |
|
|
557 gripe_wrong_type_arg ("diag", arg); |
|
|
558 } |
|
|
559 else |
|
|
560 gripe_wrong_type_arg ("diag", arg); |
|
|
561 |
|
|
562 return retval; |
|
|
563 } |
|
|
564 |
|
2086
|
565 static octave_value |
|
|
566 make_diag (const octave_value& a, const octave_value& b) |
|
767
|
567 { |
|
2086
|
568 octave_value retval; |
|
767
|
569 |
|
3202
|
570 int k = b.nint_value (); |
|
767
|
571 |
|
|
572 if (error_state) |
|
|
573 { |
|
|
574 error ("diag: invalid second argument"); |
|
|
575 return retval; |
|
|
576 } |
|
|
577 |
|
|
578 if (a.is_real_type ()) |
|
|
579 { |
|
3307
|
580 Matrix m = a.matrix_value (); |
|
767
|
581 |
|
3307
|
582 if (! error_state) |
|
767
|
583 { |
|
|
584 int nr = m.rows (); |
|
|
585 int nc = m.columns (); |
|
|
586 |
|
3972
|
587 if (nr == 1 || nc == 1) |
|
|
588 retval = make_diag (m, k); |
|
|
589 else if (nr == 0 || nc == 0) |
|
767
|
590 retval = Matrix (); |
|
|
591 else |
|
|
592 { |
|
|
593 ColumnVector d = m.diag (k); |
|
|
594 retval = d; |
|
|
595 } |
|
|
596 } |
|
|
597 } |
|
|
598 else if (a.is_complex_type ()) |
|
|
599 { |
|
3307
|
600 ComplexMatrix cm = a.complex_matrix_value (); |
|
767
|
601 |
|
3307
|
602 if (! error_state) |
|
767
|
603 { |
|
|
604 int nr = cm.rows (); |
|
|
605 int nc = cm.columns (); |
|
|
606 |
|
3972
|
607 if (nr == 1 || nc == 1) |
|
|
608 retval = make_diag (cm, k); |
|
|
609 else if (nr == 0 || nc == 0) |
|
767
|
610 retval = Matrix (); |
|
|
611 else |
|
|
612 { |
|
|
613 ComplexColumnVector d = cm.diag (k); |
|
|
614 retval = d; |
|
|
615 } |
|
|
616 } |
|
|
617 } |
|
|
618 else |
|
|
619 gripe_wrong_type_arg ("diag", a); |
|
|
620 |
|
|
621 return retval; |
|
|
622 } |
|
|
623 |
|
1957
|
624 DEFUN (diag, args, , |
|
3369
|
625 "-*- texinfo -*-\n\ |
|
|
626 @deftypefn {Built-in Function} {} diag (@var{v}, @var{k})\n\ |
|
|
627 Return a diagonal matrix with vector @var{v} on diagonal @var{k}. The\n\ |
|
|
628 second argument is optional. If it is positive, the vector is placed on\n\ |
|
|
629 the @var{k}-th super-diagonal. If it is negative, it is placed on the\n\ |
|
|
630 @var{-k}-th sub-diagonal. The default value of @var{k} is 0, and the\n\ |
|
|
631 vector is placed on the main diagonal. For example,\n\ |
|
|
632 \n\ |
|
|
633 @example\n\ |
|
|
634 @group\n\ |
|
|
635 diag ([1, 2, 3], 1)\n\ |
|
|
636 @result{} 0 1 0 0\n\ |
|
|
637 0 0 2 0\n\ |
|
|
638 0 0 0 3\n\ |
|
|
639 0 0 0 0\n\ |
|
|
640 @end group\n\ |
|
|
641 @end example\n\ |
|
|
642 @end deftypefn") |
|
523
|
643 { |
|
4233
|
644 octave_value retval; |
|
523
|
645 |
|
|
646 int nargin = args.length (); |
|
|
647 |
|
712
|
648 if (nargin == 1 && args(0).is_defined ()) |
|
767
|
649 retval = make_diag (args(0)); |
|
712
|
650 else if (nargin == 2 && args(0).is_defined () && args(1).is_defined ()) |
|
767
|
651 retval = make_diag (args(0), args(1)); |
|
523
|
652 else |
|
|
653 print_usage ("diag"); |
|
|
654 |
|
|
655 return retval; |
|
|
656 } |
|
|
657 |
|
1957
|
658 DEFUN (prod, args, , |
|
3428
|
659 "-*- texinfo -*-\n\ |
|
3723
|
660 @deftypefn {Built-in Function} {} prod (@var{x}, @var{dim})\n\ |
|
|
661 Product of elements along dimension @var{dim}. If @var{dim} is\n\ |
|
|
662 omitted, it defaults to 1 (column-wise products).\n\ |
|
3428
|
663 @end deftypefn") |
|
523
|
664 { |
|
3723
|
665 DATA_REDUCTION (prod); |
|
523
|
666 } |
|
|
667 |
|
3195
|
668 DEFUN (length, args, , |
|
3373
|
669 "-*- texinfo -*-\n\ |
|
|
670 @deftypefn {Built-in Function} {} length (@var{a})\n\ |
|
4176
|
671 Return the `length' of the object @var{a}. For matrix objects, the\n\ |
|
3373
|
672 length is the number of rows or columns, whichever is greater (this\n\ |
|
|
673 odd definition is used for compatibility with Matlab).\n\ |
|
|
674 @end deftypefn") |
|
3195
|
675 { |
|
|
676 octave_value retval; |
|
|
677 |
|
|
678 if (args.length () == 1) |
|
|
679 { |
|
|
680 int len = args(0).length (); |
|
|
681 |
|
|
682 if (! error_state) |
|
4233
|
683 retval = len; |
|
3195
|
684 } |
|
|
685 else |
|
|
686 print_usage ("length"); |
|
|
687 |
|
|
688 return retval; |
|
|
689 } |
|
|
690 |
|
4554
|
691 DEFUN (ndims, args, , |
|
|
692 "-*- texinfo -*-\n\ |
|
|
693 @deftypefn {Built-in Function} {} ndims (@var{a})\n\ |
|
|
694 Returns the number of dimensions of array @var{a}.\n\ |
|
|
695 For any array, the result will always be larger than or equal to 2.\n\ |
|
|
696 Trailing singleton dimensions are not counted.\n\ |
|
|
697 @end deftypefn") |
|
|
698 { |
|
|
699 octave_value retval; |
|
|
700 |
|
|
701 if (args.length () == 1) |
|
|
702 { |
|
|
703 int n_dims = args(0).ndims (); |
|
|
704 |
|
|
705 if (! error_state) |
|
|
706 retval = n_dims; |
|
|
707 } |
|
|
708 else |
|
|
709 print_usage ("ndims"); |
|
|
710 |
|
|
711 return retval; |
|
|
712 } |
|
|
713 |
|
1957
|
714 DEFUN (size, args, nargout, |
|
3373
|
715 "-*- texinfo -*-\n\ |
|
|
716 @deftypefn {Built-in Function} {} size (@var{a}, @var{n})\n\ |
|
|
717 Return the number rows and columns of @var{a}.\n\ |
|
|
718 \n\ |
|
|
719 With one input argument and one output argument, the result is returned\n\ |
|
|
720 in a 2 element row vector. If there are two output arguments, the\n\ |
|
|
721 number of rows is assigned to the first, and the number of columns to\n\ |
|
|
722 the second. For example,\n\ |
|
|
723 \n\ |
|
|
724 @example\n\ |
|
|
725 @group\n\ |
|
|
726 size ([1, 2; 3, 4; 5, 6])\n\ |
|
|
727 @result{} [ 3, 2 ]\n\ |
|
1031
|
728 \n\ |
|
3373
|
729 [nr, nc] = size ([1, 2; 3, 4; 5, 6])\n\ |
|
|
730 @result{} nr = 3\n\ |
|
|
731 @result{} nc = 2\n\ |
|
|
732 @end group\n\ |
|
|
733 @end example\n\ |
|
|
734 \n\ |
|
|
735 If given a second argument of either 1 or 2, @code{size} will return\n\ |
|
|
736 only the row or column dimension. For example\n\ |
|
1031
|
737 \n\ |
|
3373
|
738 @example\n\ |
|
|
739 size ([1, 2; 3, 4; 5, 6], 2)\n\ |
|
|
740 @result{} 2\n\ |
|
|
741 @end example\n\ |
|
|
742 \n\ |
|
|
743 @noindent\n\ |
|
|
744 returns the number of columns in the given matrix.\n\ |
|
|
745 @end deftypefn") |
|
523
|
746 { |
|
2086
|
747 octave_value_list retval; |
|
523
|
748 |
|
|
749 int nargin = args.length (); |
|
|
750 |
|
4513
|
751 if (nargin == 1) |
|
523
|
752 { |
|
4513
|
753 dim_vector dimensions = args(0).dims (); |
|
|
754 |
|
|
755 int ndims = dimensions.length (); |
|
1031
|
756 |
|
4513
|
757 Matrix m (1, ndims); |
|
|
758 |
|
|
759 if (nargout > 1) |
|
523
|
760 { |
|
4513
|
761 while (ndims--) |
|
|
762 retval(ndims) = dimensions(ndims); |
|
523
|
763 } |
|
4513
|
764 else |
|
712
|
765 { |
|
4513
|
766 for (int i = 0; i < ndims; i++) |
|
|
767 m(0, i) = dimensions(i); |
|
|
768 |
|
|
769 retval(0) = m; |
|
712
|
770 } |
|
1031
|
771 } |
|
|
772 else if (nargin == 2 && nargout < 2) |
|
|
773 { |
|
3202
|
774 int nd = args(1).nint_value (); |
|
1031
|
775 |
|
|
776 if (error_state) |
|
|
777 error ("size: expecting scalar as second argument"); |
|
712
|
778 else |
|
1031
|
779 { |
|
|
780 if (nd == 1) |
|
4233
|
781 retval(0) = args(0).rows (); |
|
1031
|
782 else if (nd == 2) |
|
4233
|
783 retval(0) = args(0).columns (); |
|
1031
|
784 else |
|
|
785 error ("size: invalid second argument -- expecting 1 or 2"); |
|
|
786 } |
|
523
|
787 } |
|
712
|
788 else |
|
|
789 print_usage ("size"); |
|
523
|
790 |
|
|
791 return retval; |
|
|
792 } |
|
|
793 |
|
1957
|
794 DEFUN (sum, args, , |
|
3428
|
795 "-*- texinfo -*-\n\ |
|
3723
|
796 @deftypefn {Built-in Function} {} sum (@var{x}, @var{dim})\n\ |
|
|
797 Sum of elements along dimension @var{dim}. If @var{dim} is\n\ |
|
|
798 omitted, it defaults to 1 (column-wise sum).\n\ |
|
3428
|
799 @end deftypefn") |
|
523
|
800 { |
|
3723
|
801 DATA_REDUCTION (sum); |
|
523
|
802 } |
|
|
803 |
|
1957
|
804 DEFUN (sumsq, args, , |
|
3428
|
805 "-*- texinfo -*-\n\ |
|
3723
|
806 @deftypefn {Built-in Function} {} sumsq (@var{x}, @var{dim})\n\ |
|
|
807 Sum of squares of elements along dimension @var{dim}. If @var{dim}\n\ |
|
|
808 is omitted, it defaults to 1 (column-wise sum of squares).\n\ |
|
3095
|
809 \n\ |
|
|
810 This function is equivalent to computing\n\ |
|
3723
|
811 @example\n\ |
|
|
812 sum (x .* conj (x), dim)\n\ |
|
|
813 @end example\n\ |
|
|
814 but it uses less memory and avoids calling conj if @var{x} is real.\n\ |
|
3428
|
815 @end deftypefn") |
|
523
|
816 { |
|
3723
|
817 DATA_REDUCTION (sumsq); |
|
523
|
818 } |
|
|
819 |
|
4028
|
820 DEFUN (isbool, args, , |
|
3428
|
821 "-*- texinfo -*-\n\ |
|
4028
|
822 @deftypefn {Built-in Functio} {} isbool (@var{x})\n\ |
|
3428
|
823 Return true if @var{x} is a boolean object.\n\ |
|
3439
|
824 @end deftypefn") |
|
3209
|
825 { |
|
|
826 octave_value retval; |
|
|
827 |
|
|
828 if (args.length () == 1) |
|
3258
|
829 retval = args(0).is_bool_type (); |
|
3209
|
830 else |
|
4028
|
831 print_usage ("isbool"); |
|
3209
|
832 |
|
|
833 return retval; |
|
|
834 } |
|
|
835 |
|
4028
|
836 DEFALIAS (islogical, isbool); |
|
3209
|
837 |
|
4028
|
838 DEFUN (iscomplex, args, , |
|
3428
|
839 "-*- texinfo -*-\n\ |
|
4028
|
840 @deftypefn {Built-in Function} {} iscomplex (@var{x})\n\ |
|
3428
|
841 Return true if @var{x} is a complex-valued numeric object.\n\ |
|
|
842 @end deftypefn") |
|
3186
|
843 { |
|
|
844 octave_value retval; |
|
|
845 |
|
|
846 if (args.length () == 1) |
|
3258
|
847 retval = args(0).is_complex_type (); |
|
3186
|
848 else |
|
4028
|
849 print_usage ("iscomplex"); |
|
3186
|
850 |
|
|
851 return retval; |
|
|
852 } |
|
|
853 |
|
3258
|
854 DEFUN (isreal, args, , |
|
3428
|
855 "-*- texinfo -*-\n\ |
|
|
856 @deftypefn {Built-in Function} {} isreal (@var{x})\n\ |
|
|
857 Return true if @var{x} is a real-valued numeric object.\n\ |
|
|
858 @end deftypefn") |
|
3258
|
859 { |
|
|
860 octave_value retval; |
|
|
861 |
|
|
862 if (args.length () == 1) |
|
|
863 retval = args(0).is_real_type (); |
|
|
864 else |
|
|
865 print_usage ("isreal"); |
|
|
866 |
|
|
867 return retval; |
|
|
868 } |
|
|
869 |
|
3202
|
870 DEFUN (isempty, args, , |
|
3373
|
871 "-*- texinfo -*-\n\ |
|
|
872 @deftypefn {Built-in Function} {} isempty (@var{a})\n\ |
|
|
873 Return 1 if @var{a} is an empty matrix (either the number of rows, or\n\ |
|
|
874 the number of columns, or both are zero). Otherwise, return 0.\n\ |
|
|
875 @end deftypefn") |
|
3202
|
876 { |
|
4233
|
877 octave_value retval = false; |
|
3202
|
878 |
|
|
879 if (args.length () == 1) |
|
|
880 { |
|
|
881 octave_value arg = args(0); |
|
|
882 |
|
|
883 if (arg.is_matrix_type ()) |
|
4233
|
884 retval = (arg.rows () == 0 || arg.columns () == 0); |
|
3215
|
885 else if (arg.is_list () || arg.is_string ()) |
|
4233
|
886 retval = (arg.length () == 0); |
|
3202
|
887 } |
|
|
888 else |
|
|
889 print_usage ("isempty"); |
|
|
890 |
|
|
891 return retval; |
|
|
892 } |
|
|
893 |
|
3206
|
894 DEFUN (isnumeric, args, , |
|
3428
|
895 "-*- texinfo -*-\n\ |
|
|
896 @deftypefn {Built-in Function} {} isnumeric (@var{x})\n\ |
|
|
897 Return nonzero if @var{x} is a numeric object.\n\ |
|
|
898 @end deftypefn") |
|
3206
|
899 { |
|
|
900 octave_value retval; |
|
|
901 |
|
|
902 if (args.length () == 1) |
|
3258
|
903 retval = args(0).is_numeric_type (); |
|
3206
|
904 else |
|
3238
|
905 print_usage ("isnumeric"); |
|
3206
|
906 |
|
|
907 return retval; |
|
|
908 } |
|
|
909 |
|
4028
|
910 DEFUN (islist, args, , |
|
3526
|
911 "-*- texinfo -*-\n\ |
|
4028
|
912 @deftypefn {Built-in Function} {} islist (@var{x})\n\ |
|
3428
|
913 Return nonzero if @var{x} is a list.\n\ |
|
|
914 @end deftypefn") |
|
3204
|
915 { |
|
|
916 octave_value retval; |
|
|
917 |
|
|
918 if (args.length () == 1) |
|
3258
|
919 retval = args(0).is_list (); |
|
3204
|
920 else |
|
4028
|
921 print_usage ("islist"); |
|
3204
|
922 |
|
|
923 return retval; |
|
|
924 } |
|
|
925 |
|
4028
|
926 DEFUN (ismatrix, args, , |
|
3321
|
927 "-*- texinfo -*-\n\ |
|
4028
|
928 @deftypefn {Built-in Function} {} ismatrix (@var{a})\n\ |
|
3321
|
929 Return 1 if @var{a} is a matrix. Otherwise, return 0.\n\ |
|
3333
|
930 @end deftypefn") |
|
3202
|
931 { |
|
4233
|
932 octave_value retval = false; |
|
3202
|
933 |
|
|
934 if (args.length () == 1) |
|
|
935 { |
|
|
936 octave_value arg = args(0); |
|
|
937 |
|
3212
|
938 if (arg.is_scalar_type () || arg.is_range ()) |
|
4233
|
939 retval = true; |
|
3202
|
940 else if (arg.is_matrix_type ()) |
|
4233
|
941 retval = (arg.rows () >= 1 && arg.columns () >= 1); |
|
3202
|
942 } |
|
|
943 else |
|
4028
|
944 print_usage ("ismatrix"); |
|
3202
|
945 |
|
|
946 return retval; |
|
|
947 } |
|
|
948 |
|
3354
|
949 static octave_value |
|
|
950 fill_matrix (const octave_value_list& args, double val, const char *fcn) |
|
523
|
951 { |
|
3354
|
952 octave_value retval; |
|
523
|
953 |
|
|
954 int nargin = args.length (); |
|
|
955 |
|
4481
|
956 int ndim = 0; |
|
|
957 int type = 0; |
|
|
958 |
|
4513
|
959 dim_vector dims; |
|
4481
|
960 |
|
|
961 // Check for type information. |
|
|
962 |
|
|
963 if (nargin > 0 && args(nargin-1).is_string ()) |
|
|
964 { |
|
|
965 nargin--; |
|
|
966 |
|
|
967 // XXX FIXME XXX -- allow type of the resulting matrix to be |
|
|
968 // specified, e.g. |
|
|
969 // |
|
|
970 // zeros(n1, n2, ..., 'real') |
|
|
971 // zeros(n1, n2, ..., 'complex') |
|
|
972 // |
|
|
973 // type = get_type (args(nargin).string_value ()); |
|
|
974 } |
|
|
975 |
|
|
976 // determine matrix dimension |
|
|
977 |
|
523
|
978 switch (nargin) |
|
|
979 { |
|
712
|
980 case 0: |
|
4481
|
981 ndim = 0; |
|
|
982 type = 0; |
|
712
|
983 break; |
|
777
|
984 |
|
610
|
985 case 1: |
|
4481
|
986 get_dimensions (args(0), fcn, dims); |
|
610
|
987 break; |
|
777
|
988 |
|
4481
|
989 default: |
|
|
990 { |
|
|
991 dims.resize (nargin); |
|
|
992 |
|
|
993 for (int i = 0; i < nargin; i++) |
|
|
994 { |
|
|
995 dims(i) = args(i).is_empty () ? 0 : args(i).nint_value (); |
|
|
996 |
|
|
997 if (error_state) |
|
|
998 { |
|
|
999 error ("%s: expecting scalar arguments", fcn); |
|
|
1000 break; |
|
|
1001 } |
|
|
1002 } |
|
|
1003 } |
|
|
1004 break; |
|
|
1005 } |
|
|
1006 |
|
|
1007 if (! error_state) |
|
|
1008 { |
|
|
1009 ndim = dims.length (); |
|
|
1010 |
|
|
1011 check_dimensions (dims, fcn); |
|
3354
|
1012 |
|
4481
|
1013 if (! error_state) |
|
|
1014 { |
|
|
1015 // Construct either scalar, matrix or N-d array. |
|
|
1016 |
|
|
1017 switch (ndim) |
|
|
1018 { |
|
|
1019 case 0: |
|
|
1020 retval = val; |
|
|
1021 break; |
|
777
|
1022 |
|
4481
|
1023 case 1: |
|
|
1024 retval = Matrix (dims(0), dims(0), val); |
|
|
1025 break; |
|
|
1026 |
|
|
1027 case 2: |
|
|
1028 retval = Matrix (dims(0), dims(1), val); |
|
|
1029 break; |
|
|
1030 |
|
|
1031 default: |
|
4512
|
1032 retval = NDArray (dims, val); |
|
4481
|
1033 break; |
|
|
1034 } |
|
|
1035 } |
|
523
|
1036 } |
|
|
1037 |
|
|
1038 return retval; |
|
|
1039 } |
|
|
1040 |
|
3354
|
1041 DEFUN (ones, args, , |
|
3369
|
1042 "-*- texinfo -*-\n\ |
|
|
1043 @deftypefn {Built-in Function} {} ones (@var{x})\n\ |
|
|
1044 @deftypefnx {Built-in Function} {} ones (@var{n}, @var{m})\n\ |
|
4481
|
1045 @deftypefnx {Built-in Function} {} ones (@var{n}, @var{m}, @var{k},...)\n\ |
|
|
1046 Return a matrix or N-dimensional array whose elements are all 1.\n\ |
|
|
1047 The arguments are handled the same as the arguments for @code{eye}.\n\ |
|
3369
|
1048 \n\ |
|
|
1049 If you need to create a matrix whose values are all the same, you should\n\ |
|
|
1050 use an expression like\n\ |
|
|
1051 \n\ |
|
|
1052 @example\n\ |
|
|
1053 val_matrix = val * ones (n, m)\n\ |
|
|
1054 @end example\n\ |
|
|
1055 @end deftypefn") |
|
523
|
1056 { |
|
3354
|
1057 return fill_matrix (args, 1.0, "ones"); |
|
523
|
1058 } |
|
|
1059 |
|
3354
|
1060 DEFUN (zeros, args, , |
|
3369
|
1061 "-*- texinfo -*-\n\ |
|
|
1062 @deftypefn {Built-in Function} {} zeros (@var{x})\n\ |
|
|
1063 @deftypefnx {Built-in Function} {} zeros (@var{n}, @var{m})\n\ |
|
4481
|
1064 @deftypefnx {Built-in Function} {} zeros (@var{n}, @var{m}, @var{k},...)\n\ |
|
|
1065 Return a matrix or N-dimensional array whose elements are all 0.\n\ |
|
|
1066 The arguments are handled the same as the arguments for @code{eye}.\n\ |
|
3369
|
1067 @end deftypefn") |
|
523
|
1068 { |
|
3354
|
1069 return fill_matrix (args, 0.0, "zeros"); |
|
|
1070 } |
|
523
|
1071 |
|
1957
|
1072 DEFUN (eye, args, , |
|
3369
|
1073 "-*- texinfo -*-\n\ |
|
|
1074 @deftypefn {Built-in Function} {} eye (@var{x})\n\ |
|
|
1075 @deftypefnx {Built-in Function} {} eye (@var{n}, @var{m})\n\ |
|
|
1076 Return an identity matrix. If invoked with a single scalar argument,\n\ |
|
|
1077 @code{eye} returns a square matrix with the dimension specified. If you\n\ |
|
|
1078 supply two scalar arguments, @code{eye} takes them to be the number of\n\ |
|
|
1079 rows and columns. If given a vector with two elements, @code{eye} uses\n\ |
|
|
1080 the values of the elements as the number of rows and columns,\n\ |
|
|
1081 respectively. For example,\n\ |
|
|
1082 \n\ |
|
|
1083 @example\n\ |
|
|
1084 @group\n\ |
|
|
1085 eye (3)\n\ |
|
|
1086 @result{} 1 0 0\n\ |
|
|
1087 0 1 0\n\ |
|
|
1088 0 0 1\n\ |
|
|
1089 @end group\n\ |
|
|
1090 @end example\n\ |
|
|
1091 \n\ |
|
|
1092 The following expressions all produce the same result:\n\ |
|
|
1093 \n\ |
|
|
1094 @example\n\ |
|
|
1095 @group\n\ |
|
|
1096 eye (2)\n\ |
|
|
1097 @equiv{}\n\ |
|
|
1098 eye (2, 2)\n\ |
|
|
1099 @equiv{}\n\ |
|
|
1100 eye (size ([1, 2; 3, 4])\n\ |
|
|
1101 @end group\n\ |
|
|
1102 @end example\n\ |
|
|
1103 \n\ |
|
|
1104 For compatibility with @sc{Matlab}, calling @code{eye} with no arguments\n\ |
|
|
1105 is equivalent to calling it with an argument of 1.\n\ |
|
|
1106 @end deftypefn") |
|
523
|
1107 { |
|
3354
|
1108 octave_value retval; |
|
523
|
1109 |
|
|
1110 int nargin = args.length (); |
|
|
1111 |
|
|
1112 switch (nargin) |
|
|
1113 { |
|
712
|
1114 case 0: |
|
|
1115 retval = 1.0; |
|
|
1116 break; |
|
777
|
1117 |
|
610
|
1118 case 1: |
|
3354
|
1119 { |
|
|
1120 int nr, nc; |
|
|
1121 get_dimensions (args(0), "eye", nr, nc); |
|
|
1122 |
|
|
1123 if (! error_state) |
|
|
1124 retval = identity_matrix (nr, nc); |
|
|
1125 } |
|
610
|
1126 break; |
|
777
|
1127 |
|
523
|
1128 case 2: |
|
3354
|
1129 { |
|
|
1130 int nr, nc; |
|
|
1131 get_dimensions (args(0), args(1), "eye", nr, nc); |
|
|
1132 |
|
|
1133 if (! error_state) |
|
|
1134 retval = identity_matrix (nr, nc); |
|
|
1135 } |
|
523
|
1136 break; |
|
777
|
1137 |
|
523
|
1138 default: |
|
|
1139 print_usage ("eye"); |
|
|
1140 break; |
|
|
1141 } |
|
|
1142 |
|
|
1143 return retval; |
|
|
1144 } |
|
|
1145 |
|
1957
|
1146 DEFUN (linspace, args, , |
|
3369
|
1147 "-*- texinfo -*-\n\ |
|
|
1148 @deftypefn {Built-in Function} {} linspace (@var{base}, @var{limit}, @var{n})\n\ |
|
|
1149 Return a row vector with @var{n} linearly spaced elements between\n\ |
|
|
1150 @var{base} and @var{limit}. The number of elements, @var{n}, must be\n\ |
|
|
1151 greater than 1. The @var{base} and @var{limit} are always included in\n\ |
|
|
1152 the range. If @var{base} is greater than @var{limit}, the elements are\n\ |
|
|
1153 stored in decreasing order. If the number of points is not specified, a\n\ |
|
|
1154 value of 100 is used.\n\ |
|
1100
|
1155 \n\ |
|
4455
|
1156 The @code{linspace} function always returns a row vector.\n\ |
|
3369
|
1157 @end deftypefn") |
|
1100
|
1158 { |
|
3418
|
1159 octave_value retval; |
|
1100
|
1160 |
|
|
1161 int nargin = args.length (); |
|
|
1162 |
|
|
1163 int npoints = 100; |
|
|
1164 |
|
1940
|
1165 if (nargin != 2 && nargin != 3) |
|
|
1166 { |
|
|
1167 print_usage ("linspace"); |
|
|
1168 return retval; |
|
|
1169 } |
|
|
1170 |
|
1100
|
1171 if (nargin == 3) |
|
3202
|
1172 npoints = args(2).nint_value (); |
|
1100
|
1173 |
|
|
1174 if (! error_state) |
|
|
1175 { |
|
3322
|
1176 octave_value arg_1 = args(0); |
|
|
1177 octave_value arg_2 = args(1); |
|
1100
|
1178 |
|
3322
|
1179 if (arg_1.is_complex_type () || arg_2.is_complex_type ()) |
|
|
1180 { |
|
|
1181 Complex x1 = arg_1.complex_value (); |
|
|
1182 Complex x2 = arg_2.complex_value (); |
|
|
1183 |
|
|
1184 if (! error_state) |
|
1100
|
1185 { |
|
3322
|
1186 ComplexRowVector rv = linspace (x1, x2, npoints); |
|
1100
|
1187 |
|
|
1188 if (! error_state) |
|
3418
|
1189 retval = rv; |
|
1100
|
1190 } |
|
|
1191 } |
|
|
1192 else |
|
3322
|
1193 { |
|
|
1194 double x1 = arg_1.double_value (); |
|
|
1195 double x2 = arg_2.double_value (); |
|
|
1196 |
|
|
1197 if (! error_state) |
|
|
1198 { |
|
|
1199 RowVector rv = linspace (x1, x2, npoints); |
|
|
1200 |
|
|
1201 if (! error_state) |
|
3418
|
1202 retval = rv; |
|
3322
|
1203 } |
|
|
1204 } |
|
1100
|
1205 } |
|
|
1206 |
|
|
1207 return retval; |
|
|
1208 } |
|
|
1209 |
|
4532
|
1210 DEFUN (squeeze, args, , |
|
|
1211 "-*- texinfo -*-\n\ |
|
|
1212 @deftypefn {Built-in Function} {} squeeze (@var{x})\n\ |
|
|
1213 Remove singleton dimensions from @var{x} and return the result.\n\ |
|
|
1214 @end deftypefn") |
|
|
1215 { |
|
|
1216 octave_value retval; |
|
|
1217 |
|
|
1218 if (args.length () == 1) |
|
4545
|
1219 retval = args(0).squeeze (); |
|
4532
|
1220 else |
|
|
1221 print_usage ("squeeze"); |
|
|
1222 |
|
|
1223 return retval; |
|
|
1224 } |
|
|
1225 |
|
2184
|
1226 void |
|
|
1227 symbols_of_data (void) |
|
|
1228 { |
|
3321
|
1229 |
|
|
1230 #define IMAGINARY_DOC_STRING "-*- texinfo -*-\n\ |
|
|
1231 @defvr {Built-in Variable} I\n\ |
|
|
1232 @defvrx {Built-in Variable} J\n\ |
|
|
1233 @defvrx {Built-in Variable} i\n\ |
|
|
1234 @defvrx {Built-in Variable} j\n\ |
|
|
1235 A pure imaginary number, defined as\n\ |
|
|
1236 @iftex\n\ |
|
|
1237 @tex\n\ |
|
|
1238 $\\sqrt{-1}$.\n\ |
|
|
1239 @end tex\n\ |
|
|
1240 @end iftex\n\ |
|
|
1241 @ifinfo\n\ |
|
|
1242 @code{sqrt (-1)}.\n\ |
|
|
1243 @end ifinfo\n\ |
|
|
1244 The @code{I} and @code{J} forms are true constants, and cannot be\n\ |
|
|
1245 modified. The @code{i} and @code{j} forms are like ordinary variables,\n\ |
|
|
1246 and may be used for other purposes. However, unlike other variables,\n\ |
|
|
1247 they once again assume their special predefined values if they are\n\ |
|
|
1248 cleared @xref{Status of Variables}.\n\ |
|
|
1249 @end defvr" |
|
|
1250 |
|
|
1251 #define INFINITY_DOC_STRING "-*- texinfo -*-\n\ |
|
|
1252 @defvr {Built-in Variable} Inf\n\ |
|
|
1253 @defvrx {Built-in Variable} inf\n\ |
|
|
1254 Infinity. This is the result of an operation like 1/0, or an operation\n\ |
|
|
1255 that results in a floating point overflow.\n\ |
|
|
1256 @end defvr" |
|
|
1257 |
|
|
1258 #define NAN_DOC_STRING "-*- texinfo -*-\n\ |
|
|
1259 @defvr {Built-in Variable} NaN\n\ |
|
|
1260 @defvrx {Built-in Variable} nan\n\ |
|
|
1261 Not a number. This is the result of an operation like\n\ |
|
|
1262 @iftex\n\ |
|
|
1263 @tex\n\ |
|
|
1264 $0/0$, or $\\infty - \\infty$,\n\ |
|
|
1265 @end tex\n\ |
|
|
1266 @end iftex\n\ |
|
|
1267 @ifinfo\n\ |
|
|
1268 0/0, or @samp{Inf - Inf},\n\ |
|
|
1269 @end ifinfo\n\ |
|
|
1270 or any operation with a NaN.\n\ |
|
|
1271 \n\ |
|
|
1272 Note that NaN always compares not equal to NaN. This behavior is\n\ |
|
|
1273 specified by the IEEE standard for floating point arithmetic. To\n\ |
|
|
1274 find NaN values, you must use the @code{isnan} function.\n\ |
|
|
1275 @end defvr" |
|
|
1276 |
|
3141
|
1277 DEFCONST (I, Complex (0.0, 1.0), |
|
3321
|
1278 IMAGINARY_DOC_STRING); |
|
2184
|
1279 |
|
4102
|
1280 DEFCONST (Inf, lo_ieee_inf_value (), |
|
3321
|
1281 INFINITY_DOC_STRING); |
|
2184
|
1282 |
|
3141
|
1283 DEFCONST (J, Complex (0.0, 1.0), |
|
3321
|
1284 IMAGINARY_DOC_STRING); |
|
2184
|
1285 |
|
4102
|
1286 DEFCONST (NA, lo_ieee_na_value (), |
|
4025
|
1287 "-*- texinfo -*-\n\ |
|
|
1288 @defvr {Built-in Variable} NA\n\ |
|
|
1289 Missing value.\n\ |
|
|
1290 @end defvr"); |
|
|
1291 |
|
4102
|
1292 DEFCONST (NaN, lo_ieee_nan_value (), |
|
3321
|
1293 NAN_DOC_STRING); |
|
2184
|
1294 |
|
|
1295 #if defined (M_E) |
|
|
1296 double e_val = M_E; |
|
|
1297 #else |
|
|
1298 double e_val = exp (1.0); |
|
|
1299 #endif |
|
|
1300 |
|
3141
|
1301 DEFCONST (e, e_val, |
|
3321
|
1302 "-*- texinfo -*-\n\ |
|
|
1303 @defvr {Built-in Variable} e\n\ |
|
|
1304 The base of natural logarithms. The constant\n\ |
|
|
1305 @iftex\n\ |
|
|
1306 @tex\n\ |
|
|
1307 $e$\n\ |
|
|
1308 @end tex\n\ |
|
|
1309 @end iftex\n\ |
|
|
1310 @ifinfo\n\ |
|
|
1311 @var{e}\n\ |
|
|
1312 @end ifinfo\n\ |
|
|
1313 satisfies the equation\n\ |
|
|
1314 @iftex\n\ |
|
|
1315 @tex\n\ |
|
|
1316 $\\log (e) = 1$.\n\ |
|
|
1317 @end tex\n\ |
|
|
1318 @end iftex\n\ |
|
|
1319 @ifinfo\n\ |
|
|
1320 @code{log} (@var{e}) = 1.\n\ |
|
|
1321 @end ifinfo\n\ |
|
|
1322 @end defvr"); |
|
2184
|
1323 |
|
3141
|
1324 DEFCONST (eps, DBL_EPSILON, |
|
3321
|
1325 "-*- texinfo -*-\n\ |
|
|
1326 @defvr {Built-in Variable} eps\n\ |
|
|
1327 The machine precision. More precisely, @code{eps} is the largest\n\ |
|
|
1328 relative spacing between any two adjacent numbers in the machine's\n\ |
|
|
1329 floating point system. This number is obviously system-dependent. On\n\ |
|
|
1330 machines that support 64 bit IEEE floating point arithmetic, @code{eps}\n\ |
|
|
1331 is approximately\n\ |
|
|
1332 @ifinfo\n\ |
|
|
1333 2.2204e-16.\n\ |
|
|
1334 @end ifinfo\n\ |
|
|
1335 @iftex\n\ |
|
|
1336 @tex\n\ |
|
|
1337 $2.2204\\times10^{-16}$.\n\ |
|
|
1338 @end tex\n\ |
|
|
1339 @end iftex\n\ |
|
|
1340 @end defvr"); |
|
2184
|
1341 |
|
3258
|
1342 DEFCONST (false, false, |
|
3443
|
1343 "-*- texinfo -*-\n\ |
|
|
1344 @defvr {Built-in Variable} false\n\ |
|
|
1345 Logical false value.\n\ |
|
|
1346 @end defvr"); |
|
3258
|
1347 |
|
3141
|
1348 DEFCONST (i, Complex (0.0, 1.0), |
|
3321
|
1349 IMAGINARY_DOC_STRING); |
|
2184
|
1350 |
|
4102
|
1351 DEFCONST (inf, lo_ieee_inf_value (), |
|
3321
|
1352 INFINITY_DOC_STRING); |
|
2184
|
1353 |
|
3141
|
1354 DEFCONST (j, Complex (0.0, 1.0), |
|
3321
|
1355 IMAGINARY_DOC_STRING); |
|
2184
|
1356 |
|
4102
|
1357 DEFCONST (nan, lo_ieee_nan_value (), |
|
3321
|
1358 NAN_DOC_STRING); |
|
2184
|
1359 |
|
|
1360 #if defined (M_PI) |
|
|
1361 double pi_val = M_PI; |
|
|
1362 #else |
|
|
1363 double pi_val = 4.0 * atan (1.0); |
|
|
1364 #endif |
|
|
1365 |
|
3141
|
1366 DEFCONST (pi, pi_val, |
|
3321
|
1367 "-*- texinfo -*-\n\ |
|
|
1368 @defvr {Built-in Variable} pi\n\ |
|
|
1369 The ratio of the circumference of a circle to its diameter.\n\ |
|
|
1370 Internally, @code{pi} is computed as @samp{4.0 * atan (1.0)}.\n\ |
|
|
1371 @end defvr"); |
|
2184
|
1372 |
|
3141
|
1373 DEFCONST (realmax, DBL_MAX, |
|
3321
|
1374 "-*- texinfo -*-\n\ |
|
|
1375 @defvr {Built-in Variable} realmax\n\ |
|
|
1376 The largest floating point number that is representable. The actual\n\ |
|
4303
|
1377 value is system-dependent. On machines that support 64-bit IEEE\n\ |
|
3321
|
1378 floating point arithmetic, @code{realmax} is approximately\n\ |
|
|
1379 @ifinfo\n\ |
|
|
1380 1.7977e+308\n\ |
|
|
1381 @end ifinfo\n\ |
|
|
1382 @iftex\n\ |
|
|
1383 @tex\n\ |
|
|
1384 $1.7977\\times10^{308}$.\n\ |
|
|
1385 @end tex\n\ |
|
|
1386 @end iftex\n\ |
|
|
1387 @end defvr"); |
|
2184
|
1388 |
|
3141
|
1389 DEFCONST (realmin, DBL_MIN, |
|
3321
|
1390 "-*- texinfo -*-\n\ |
|
|
1391 @defvr {Built-in Variable} realmin\n\ |
|
4303
|
1392 The smallest normalized floating point number that is representable.\n\ |
|
|
1393 The actual value is system-dependent. On machines that support\n\ |
|
|
1394 64-bit IEEE floating point arithmetic, @code{realmin} is approximately\n\ |
|
3321
|
1395 @ifinfo\n\ |
|
|
1396 2.2251e-308\n\ |
|
|
1397 @end ifinfo\n\ |
|
|
1398 @iftex\n\ |
|
|
1399 @tex\n\ |
|
|
1400 $2.2251\\times10^{-308}$.\n\ |
|
|
1401 @end tex\n\ |
|
|
1402 @end iftex\n\ |
|
|
1403 @end defvr"); |
|
2188
|
1404 |
|
3258
|
1405 DEFCONST (true, true, |
|
3443
|
1406 "-*- texinfo -*-\n\ |
|
|
1407 @defvr {Built-in Variable} true\n\ |
|
|
1408 Logical true value.\n\ |
|
|
1409 @end defvr"); |
|
3354
|
1410 |
|
2184
|
1411 } |
|
|
1412 |
|
523
|
1413 /* |
|
|
1414 ;;; Local Variables: *** |
|
|
1415 ;;; mode: C++ *** |
|
|
1416 ;;; End: *** |
|
|
1417 */ |
