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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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240
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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 <cctype> |
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28 #include <cfloat> |
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29 |
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30 #include "lo-specfun.h" |
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2889
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31 #include "lo-mappers.h" |
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32 |
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1352
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33 #include "defun.h" |
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34 #include "error.h" |
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35 #include "ov-mapper.h" |
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36 #include "variables.h" |
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37 |
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2190
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38 // XXX FIXME XXX -- perhaps this could be avoided by determining |
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39 // whether the is* functions are actually functions or just macros. |
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40 |
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41 static int |
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42 xisalnum (int c) |
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43 { |
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44 return isalnum (c); |
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45 } |
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46 |
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47 static int |
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48 xisalpha (int c) |
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49 { |
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50 return isalpha (c); |
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51 } |
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52 |
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53 static int |
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54 xisascii (int c) |
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55 { |
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56 return isascii (c); |
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57 } |
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58 |
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59 static int |
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60 xiscntrl (int c) |
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61 { |
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62 return iscntrl (c); |
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63 } |
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64 |
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65 static int |
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66 xisdigit (int c) |
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67 { |
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68 return isdigit (c); |
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69 } |
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70 |
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71 static int |
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72 xisgraph (int c) |
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73 { |
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74 return isgraph (c); |
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75 } |
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76 |
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77 static int |
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78 xislower (int c) |
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79 { |
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80 return islower (c); |
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81 } |
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82 |
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83 static int |
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84 xisprint (int c) |
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85 { |
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86 return isprint (c); |
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87 } |
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88 |
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89 static int |
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90 xispunct (int c) |
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91 { |
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92 return ispunct (c); |
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93 } |
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94 |
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95 static int |
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96 xisspace (int c) |
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97 { |
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98 return isspace (c); |
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99 } |
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100 |
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101 static int |
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102 xisupper (int c) |
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103 { |
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104 return isupper (c); |
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105 } |
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106 |
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107 static int |
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108 xisxdigit (int c) |
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109 { |
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110 return isxdigit (c); |
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111 } |
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112 |
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113 static int |
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114 xtoascii (int c) |
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115 { |
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116 return toascii (c); |
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117 } |
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118 |
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119 static int |
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120 xtolower (int c) |
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121 { |
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122 return tolower (c); |
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123 } |
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124 |
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125 static int |
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126 xtoupper (int c) |
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127 { |
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128 return toupper (c); |
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129 } |
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130 |
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131 void |
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132 install_mapper_functions (void) |
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133 { |
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134 DEFUN_MAPPER (abs, 0, 0, 0, fabs, abs, 0, 0.0, 0.0, 0, |
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135 "-*- texinfo -*-\n\ |
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136 @deftypefn {Mapping Function} {} abs (@var{z})\n\ |
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137 Compute the magnitude of @var{z}, defined as\n\ |
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138 @iftex\n\ |
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139 @tex\n\ |
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140 $|z| = \\sqrt{x^2 + y^2}$.\n\ |
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141 @end tex\n\ |
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142 @end iftex\n\ |
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143 @ifinfo\n\ |
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144 |@var{z}| = @code{sqrt (x^2 + y^2)}.\n\ |
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145 @end ifinfo\n\ |
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146 \n\ |
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147 For example,\n\ |
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148 \n\ |
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149 @example\n\ |
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150 @group\n\ |
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151 abs (3 + 4i)\n\ |
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152 @result{} 5\n\ |
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153 @end group\n\ |
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154 @end example\n\ |
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155 @end deftypefn"); |
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156 |
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157 DEFUN_MAPPER (acos, 0, 0, 0, acos, 0, acos, -1.0, 1.0, 1, |
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158 "-*- texinfo -*-\n\ |
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159 @deftypefn {Mapping Function} {} acos (@var{X})\n\ |
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160 acos (X): compute the inverse cosine of X for each element of X\n\ |
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161 @end deftypefn"); |
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162 |
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163 DEFUN_MAPPER (acosh, 0, 0, 0, acosh, 0, acosh, 1.0, DBL_MAX, 1, |
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164 "-*- texinfo -*-\n\ |
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165 @deftypefn {Mapping Function} {} acosh (@var{X})\n\ |
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166 acosh (X): compute the inverse hyperbolic cosine of X for each element of X.\n\ |
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167 @end deftypefn"); |
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168 |
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169 DEFUN_MAPPER (angle, 0, 0, 0, arg, arg, 0, 0.0, 0.0, 0, |
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170 "See arg."); |
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171 |
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172 DEFUN_MAPPER (arg, 0, 0, 0, arg, arg, 0, 0.0, 0.0, 0, |
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173 "-*- texinfo -*-\n\ |
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174 @deftypefn {Mapping Function} {} angle (@var{z})\n\ |
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175 Compute the argument of @var{z}, defined as\n\ |
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176 @iftex\n\ |
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177 @tex\n\ |
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178 $\\theta = \\tan^{-1}(y/x)$.\n\ |
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179 @end tex\n\ |
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180 @end iftex\n\ |
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181 @ifinfo\n\ |
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182 @var{theta} = @code{atan (@var{y}/@var{x})}.\n\ |
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183 @end ifinfo\n\ |
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184 \n\ |
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185 @noindent\n\ |
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186 in radians. \n\ |
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187 \n\ |
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188 For example,\n\ |
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189 \n\ |
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190 @example\n\ |
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191 @group\n\ |
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192 arg (3 + 4i)\n\ |
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193 @result{} 0.92730\n\ |
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194 @end group\n\ |
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195 @end example\n\ |
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196 @end deftypefn"); |
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197 |
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198 DEFUN_MAPPER (asin, 0, 0, 0, asin, 0, asin, -1.0, 1.0, 1, |
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199 "-*- texinfo -*-\n\ |
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200 @deftypefn {Mapping Function} {} asin (@var{X})\n\ |
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201 asin (X): compute inverse sin (X) for each element of X\n\ |
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202 @end deftypefn"); |
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203 |
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204 DEFUN_MAPPER (asinh, 0, 0, 0, asinh, 0, asinh, 0.0, 0.0, 0, |
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205 "-*- texinfo -*-\n\ |
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206 @deftypefn {Mapping Function} {} asinh (@var{X})\n\ |
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207 asinh (X): compute the inverse hyperbolic sin (X) for each element of X\n\ |
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208 @end deftypefn"); |
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209 |
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210 DEFUN_MAPPER (atan, 0, 0, 0, atan, 0, atan, 0.0, 0.0, 0, |
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211 "-*- texinfo -*-\n\ |
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212 @deftypefn {Mapping Function} {} atan (@var{X})\n\ |
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213 atan (X): compute the inverse tangent of (X) for each element of X\n\ |
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214 @end deftypefn"); |
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215 |
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216 DEFUN_MAPPER (atanh, 0, 0, 0, atanh, 0, atanh, -1.0, 1.0, 1, |
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217 "-*- texinfo -*-\n\ |
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218 @deftypefn {Mapping Function} {} atanh (@var{X})\n\ |
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219 atanh (X): compute the inverse hyperbolic tanget of X for each element of X\n\ |
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220 @end deftypefn"); |
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221 |
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222 DEFUN_MAPPER (ceil, 0, 0, 0, ceil, 0, ceil, 0.0, 0.0, 0, |
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223 "-*- texinfo -*-\n\ |
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224 @deftypefn {Usage} {} ceil (@var{x})\n\ |
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225 Return the smallest integer not less than @var{x}. If @var{x} is\n\ |
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226 complex, return @code{ceil (real (@var{x})) + ceil (imag (@var{x})) * I}.\n\ |
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227 @end deftypefn"); |
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228 |
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229 DEFUN_MAPPER (conj, 0, 0, 0, conj, 0, conj, 0.0, 0.0, 0, |
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230 "-* texinfo -*-\n\ |
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231 @deftypefn {Mapping Function} {} conj (@var{z})\n\ |
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232 Return the complex conjugate of @var{z}, defined as\n\ |
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233 @iftex\n\ |
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234 @tex\n\ |
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235 $\\bar{z} = x - iy$.\n\ |
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236 @end tex\n\ |
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237 @end iftex\n\ |
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238 @ifinfo\n\ |
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239 @code{conj (@var{z})} = @var{x} - @var{i}@var{y}.\n\ |
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240 @end ifinfo\n\ |
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241 @end deftypefn\n\ |
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242 \n\ |
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243 See also: real, imag"); |
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244 |
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245 DEFUN_MAPPER (cos, 0, 0, 0, cos, 0, cos, 0.0, 0.0, 0, |
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246 "-*- texinfo -*-\n\ |
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247 @deftypefn {Mapping Function} {} cos (@var{X})\n\ |
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248 cos (X): compute the cosine of X for each element of X\n\ |
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249 @end deftypefn"); |
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250 |
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251 DEFUN_MAPPER (cosh, 0, 0, 0, cosh, 0, cosh, 0.0, 0.0, 0, |
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252 "-*- texinfo -*-\n\ |
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253 @deftypefn {Mapping Function} {} acosh (@var{X})\n\ |
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254 acosh (X): compute the inverse hyperbolic cosine of X for each element of X\n\ |
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255 @end deftypefn"); |
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256 |
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257 DEFUN_MAPPER (erf, 0, 0, 0, xerf, 0, 0, 0.0, 0.0, 0, |
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258 "-*- texinfo -*-\n\ |
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259 @deftypefn {Mapping Function} {} erf (@var{z})\n\ |
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260 Computes the error function,\n\ |
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261 @iftex\n\ |
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262 @tex\n\ |
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263 $$\n\ |
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264 {\\rm erf} (z) = {2 \\over \\sqrt{\\pi}}\\int_0^z e^{-t^2} dt\n\ |
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265 $$\n\ |
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266 @end tex\n\ |
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267 @end iftex\n\ |
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268 @ifinfo\n\ |
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269 \n\ |
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270 @smallexample\n\ |
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271 z\n\ |
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272 /\n\ |
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273 erf (z) = (2/sqrt (pi)) | e^(-t^2) dt\n\ |
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274 /\n\ |
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275 t=0\n\ |
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276 @end smallexample\n\ |
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277 @end ifinfo\n\ |
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278 @end deftypefn\n\ |
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279 |
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280 See also: erfc, erfinv"); |
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281 |
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282 DEFUN_MAPPER (erfc, 0, 0, 0, xerfc, 0, 0, 0.0, 0.0, 0, |
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283 "-*- texinfo -*-\n\ |
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284 @deftypefn {Mapping Function} {} erfc (@var{z})\n\ |
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285 Computes the complementary error function,\n\ |
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286 @iftex\n\ |
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287 @tex\n\ |
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288 $1 - {\\rm erf} (z)$.\n\ |
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289 @end tex\n\ |
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290 @end iftex\n\ |
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291 @ifinfo\n\ |
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292 @code{1 - erf (@var{z})}.\n\ |
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293 @end ifinfo\n\ |
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294 @end deftypefn\n\ |
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295 \n\ |
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296 See also: erf, erfinv"); |
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297 |
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298 DEFUN_MAPPER (exp, 0, 0, 0, exp, 0, exp, 0.0, 0.0, 0, |
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299 "-*- texinfo -*-\n\ |
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300 @deftypefn {Usage} {} exp (@var{x})\n\ |
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301 Compute the exponential of @var{x}. To compute the matrix exponential,\n\ |
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302 see @ref{Linear Algebra}.\n\ |
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303 @end deftypefn"); |
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304 |
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305 DEFUN_MAPPER (finite, 0, xfinite, xfinite, 0, 0, 0, 0.0, 0.0, 0, |
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306 "finite (X): return 1 for finite elements of X"); |
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307 |
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308 DEFUN_MAPPER (fix, 0, 0, 0, fix, 0, fix, 0.0, 0.0, 0, |
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309 "-*- texinfo -*-\n\ |
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310 @deftypefn {Usage} {} fix (@var{x})\n\ |
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311 Truncate @var{x} toward zero. If @var{x} is complex, return\n\ |
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312 @code{fix (real (@var{x})) + fix (imag (@var{x})) * I}.\n\ |
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313 @end deftypefn"); |
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314 |
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315 DEFUN_MAPPER (floor, 0, 0, 0, floor, 0, floor, 0.0, 0.0, 0, |
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316 "-*- texinfo -*-\n\ |
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317 @deftypefn {Usage} {} floor (@var{x})\n\ |
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318 Return the largest integer not greater than @var{x}. If @var{x} is\n\ |
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319 complex, return @code{floor (real (@var{x})) + floor (imag (@var{x})) * I}.\n\ |
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320 @end deftypefn"); |
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321 |
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322 DEFUN_MAPPER (gamma, 0, 0, 0, xgamma, 0, 0, 0.0, 0.0, 0, |
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323 "-*- texinfo -*-\n\ |
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324 @deftypefn {Mapping Function} {} gamma (@var{z})\n\ |
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325 Computes the Gamma function,\n\ |
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326 @iftex\n\ |
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327 @tex\n\ |
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328 $$\n\ |
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329 \\Gamma (z) = \\int_0^\\infty t^{z-1} e^{-t} dt.\n\ |
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330 $$\n\ |
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331 @end tex\n\ |
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332 @end iftex\n\ |
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333 @ifinfo\n\ |
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334 \n\ |
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335 @example\n\ |
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336 infinity\n\ |
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337 /\n\ |
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338 gamma (z) = | t^(z-1) exp (-t) dt.\n\ |
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339 /\n\ |
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340 t=0\n\ |
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341 @end example\n\ |
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342 @end ifinfo\n\ |
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343 @end deftypefn\n\ |
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344 \n\ |
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345 See also: gammai, lgamma"); |
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346 |
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347 DEFUN_MAPPER (imag, 0, 0, 0, imag, imag, 0, 0.0, 0.0, 0, |
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348 "-*- texinfo -*-\n\ |
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349 @deftypefn {Mapping Function} {} imag (@var{z})\n\ |
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350 Return the imaginary part of @var{z} as a real number.\n\ |
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351 @end deftypefn\n\ |
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352 \n\ |
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353 See also: real, conj"); |
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354 |
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355 DEFUN_MAPPER (isalnum, xisalnum, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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356 "isalnum (X): "); |
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357 |
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358 DEFUN_MAPPER (isalpha, xisalpha, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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359 "isalpha (X): "); |
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360 |
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361 DEFUN_MAPPER (isascii, xisascii, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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362 "isascii (X): "); |
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363 |
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364 DEFUN_MAPPER (iscntrl, xiscntrl, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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365 "iscntrl (X): "); |
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366 |
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367 DEFUN_MAPPER (isdigit, xisdigit, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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368 "isdigit (X): "); |
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369 |
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370 DEFUN_MAPPER (isinf, 0, xisinf, xisinf, 0, 0, 0, 0.0, 0.0, 0, |
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371 "isinf (X): return 1 for elements of X infinite"); |
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372 |
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373 DEFUN_MAPPER (isgraph, xisgraph, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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374 "isgraph (X): "); |
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375 |
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376 DEFUN_MAPPER (islower, xislower, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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377 "islower (X): "); |
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378 |
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379 DEFUN_MAPPER (isnan, 0, xisnan, xisnan, 0, 0, 0, 0.0, 0.0, 0, |
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380 "isnan (X): return 1 where elements of X are NaNs"); |
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381 |
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382 DEFUN_MAPPER (isprint, xisprint, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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383 "isprint (X): "); |
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384 |
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385 DEFUN_MAPPER (ispunct, xispunct, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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386 "ispunct (X): "); |
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387 |
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388 DEFUN_MAPPER (isspace, xisspace, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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389 "isspace (X): "); |
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390 |
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391 DEFUN_MAPPER (isupper, xisupper, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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392 "isupper (X): "); |
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393 |
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394 DEFUN_MAPPER (isxdigit, xisxdigit, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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395 "isxdigit (X): "); |
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396 |
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397 DEFUN_MAPPER (lgamma, 0, 0, 0, xlgamma, 0, 0, 0.0, 0.0, 0, |
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398 "-*- texinfo -*-\n\ |
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399 @deftypefn {Mapping Function} {} lgamma (@var{a}, @var{x})\n\ |
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400 @deftypefnx {Mapping Function} {} gammaln (@var{a}, @var{x})\n\ |
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401 Return the natural logarithm of the gamma function.\n\ |
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402 @end deftypefn\n\ |
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403 \n\ |
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404 See also: gamma, gammai"); |
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529
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405 |
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3249
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406 DEFUN_MAPPER (log, 0, 0, 0, log, 0, log, 0.0, DBL_MAX, 1, |
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3321
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407 "-*- texinfo -*-\n\ |
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408 @deftypefn {Mapping Function} {} log (@var{x})\n\ |
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409 Compute the natural logarithm for each element of @var{x}. To compute the\n\ |
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410 matrix logarithm, see @ref{Linear Algebra}.\n\ |
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411 @end deftypefn\n\ |
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412 \n\ |
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413 See also: log2, log10, logspace, exp"); |
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529
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414 |
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3249
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415 DEFUN_MAPPER (log10, 0, 0, 0, log10, 0, log10, 0.0, DBL_MAX, 1, |
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3321
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416 "-*- texinfo -*-\n\ |
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417 @deftypefn {Mapping Function} {} log10 (@var{x})\n\ |
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418 Compute the base-10 logarithm for each element of @var{x}.\n\ |
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419 @end deftypefn\n\ |
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420 \n\ |
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421 See also: log, log2, logspace, exp"); |
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529
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422 |
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3249
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423 DEFUN_MAPPER (real, 0, 0, 0, real, real, 0, 0.0, 0.0, 0, |
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3321
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424 "-*-texinfo -*-\n\ |
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425 @deftypefn {Mapping Function} {} real (@var{z})\n\ |
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426 Return the real part of @var{z}.\n\ |
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427 @end deftypefn\n\ |
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428 \n\ |
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429 See also: imag, conj"); |
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529
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430 |
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3249
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431 DEFUN_MAPPER (round, 0, 0, 0, round, 0, round, 0.0, 0.0, 0, |
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3321
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432 "-*- texinfo -*-\n\ |
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433 @deftypefn {Mapping Function} {} round (@var{x})\n\ |
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434 Return the integer nearest to @var{x}. If @var{x} is complex, return\n\ |
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435 @code{round (real (@var{x})) + round (imag (@var{x})) * I}.\n\ |
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436 @end deftypefn\n\ |
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437 \n\ |
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438 See also: rem"); |
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529
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439 |
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3249
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440 DEFUN_MAPPER (sign, 0, 0, 0, signum, 0, signum, 0.0, 0.0, 0, |
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3321
|
441 "-*- texinfo -*-\n\ |
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442 @deftypefn {Mapping Function} {} sign (@var{x})\n\ |
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443 Compute the @dfn{signum} function, which is defined as\n\ |
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444 @iftex\n\ |
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445 @tex\n\ |
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446 $$\n\ |
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447 {\\rm sign} (@var{x}) = \\cases{1,&$x>0$;\\cr 0,&$x=0$;\\cr -1,&$x<0$.\\cr}\n\ |
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448 $$\n\ |
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449 @end tex\n\ |
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450 @end iftex\n\ |
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451 @ifinfo\n\ |
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452 \n\ |
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453 @example\n\ |
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454 -1, x < 0;\n\ |
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455 sign (x) = 0, x = 0;\n\ |
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456 1, x > 0.\n\ |
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457 @end example\n\ |
|
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458 @end ifinfo\n\ |
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459 \n\ |
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460 For complex arguments, @code{sign} returns @code{x ./ abs (@var{x})}.\n\ |
|
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461 @end deftypefn"); |
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529
|
462 |
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3249
|
463 DEFUN_MAPPER (sin, 0, 0, 0, sin, 0, sin, 0.0, 0.0, 0, |
|
3321
|
464 "-*- texinfo -*-\n\ |
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465 @deftypefn {Mapping Function} {} sin (@var{X})\n\ |
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466 sin (X): compute the sin of X for each element of X\n\ |
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467 @end deftypefn"); |
|
529
|
468 |
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3249
|
469 DEFUN_MAPPER (sinh, 0, 0, 0, sinh, 0, sinh, 0.0, 0.0, 0, |
|
3321
|
470 "-*- texinfo -*-\n\ |
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|
471 @deftypefn {Mapping Function} {} sinh (@var{X})\n\ |
|
|
472 sinh (X): compute the inverse hyperbolic sin of X for each element of X\n\ |
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|
473 @end deftypefn"); |
|
529
|
474 |
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3249
|
475 DEFUN_MAPPER (sqrt, 0, 0, 0, sqrt, 0, sqrt, 0.0, DBL_MAX, 1, |
|
3321
|
476 "-*- texinfo -*-\n\ |
|
|
477 @deftypefn {Mapping Function} {} sqrt (@var{x})\n\ |
|
|
478 Compute the square root of @var{x}. If @var{x} is negative, a complex\n\ |
|
|
479 result is returned. To compute the matrix square root, see\n\ |
|
|
480 @ref{Linear Algebra}.\n\ |
|
|
481 @end deftypefn"); |
|
529
|
482 |
|
3249
|
483 DEFUN_MAPPER (tan, 0, 0, 0, tan, 0, tan, 0.0, 0.0, 0, |
|
3321
|
484 "-*- texinfo -*-\n\ |
|
|
485 @deftypefn {Mapping Function} {} tan (@var{z})\n\ |
|
|
486 tan (X): compute tanget of X for each element of X\n\ |
|
|
487 @end deftypefn"); |
|
529
|
488 |
|
3249
|
489 DEFUN_MAPPER (tanh, 0, 0, 0, tanh, 0, tanh, 0.0, 0.0, 0, |
|
3321
|
490 "-*- texinfo -*-\n\ |
|
|
491 @deftypefn {Mapping Function} {} tanh (@var{X})\n\ |
|
|
492 tanh (X): compute hyperbolic tangent of X for each element of X\n\ |
|
|
493 @end deftypefn"); |
|
1562
|
494 |
|
3249
|
495 DEFUN_MAPPER (toascii, xtoascii, 0, 0, 0, 0, 0, 0.0, 0.0, 1, |
|
2267
|
496 "toascii (STRING): return ASCII representation of STRING in a matrix"); |
|
|
497 |
|
3249
|
498 DEFUN_MAPPER (tolower, xtolower, 0, 0, 0, 0, 0, 0.0, 0.0, 2, |
|
2267
|
499 "tolower (STRING): convert upper case characters to lower case in STRING"); |
|
|
500 |
|
3249
|
501 DEFUN_MAPPER (toupper, xtoupper, 0, 0, 0, 0, 0, 0.0, 0.0, 2, |
|
2267
|
502 "toupper (STRING): convert lower case characters to upper case in STRING"); |
|
|
503 |
|
1562
|
504 DEFALIAS (gammaln, lgamma); |
|
3206
|
505 |
|
|
506 DEFALIAS (isfinite, finite); |
|
3321
|
507 |
|
|
508 // Leave the previous new line, mkgendoc needs it! |
|
529
|
509 } |
|
|
510 |
|
1
|
511 /* |
|
|
512 ;;; Local Variables: *** |
|
|
513 ;;; mode: C++ *** |
|
|
514 ;;; End: *** |
|
|
515 */ |
