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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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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 static Complex |
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132 xconj (const Complex& x) |
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133 { |
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134 return conj (x); |
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135 } |
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136 |
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137 static double |
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138 xconj (double x) |
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139 { |
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140 return x; |
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141 } |
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142 |
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143 static Complex |
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144 ximag (const Complex& x) |
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145 { |
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146 return Complex (0.0, x.imag ()); |
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147 } |
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148 |
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149 static Complex |
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150 xreal (const Complex& x) |
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151 { |
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152 return Complex (x.real (), 0.0); |
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153 } |
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154 |
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155 void |
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156 install_mapper_functions (void) |
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157 { |
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158 DEFUN_MAPPER (abs, 0, 0, 0, fabs, abs, 0, 0.0, 0.0, 0, |
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159 "-*- texinfo -*-\n\ |
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160 @deftypefn {Mapping Function} {} abs (@var{z})\n\ |
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161 Compute the magnitude of @var{z}, defined as\n\ |
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162 @iftex\n\ |
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163 @tex\n\ |
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164 $|z| = \\sqrt{x^2 + y^2}$.\n\ |
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165 @end tex\n\ |
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166 @end iftex\n\ |
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167 @ifinfo\n\ |
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168 |@var{z}| = @code{sqrt (x^2 + y^2)}.\n\ |
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169 @end ifinfo\n\ |
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170 \n\ |
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171 For example,\n\ |
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172 \n\ |
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173 @example\n\ |
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174 @group\n\ |
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175 abs (3 + 4i)\n\ |
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176 @result{} 5\n\ |
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177 @end group\n\ |
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178 @end example\n\ |
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179 @end deftypefn"); |
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180 |
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181 DEFUN_MAPPER (acos, 0, 0, 0, acos, 0, acos, -1.0, 1.0, 1, |
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182 "-*- texinfo -*-\n\ |
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183 @deftypefn {Mapping Function} {} acos (@var{x})\n\ |
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184 Compute the inverse cosine of each element of @var{x}.\n\ |
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185 @end deftypefn"); |
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186 |
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187 DEFUN_MAPPER (acosh, 0, 0, 0, acosh, 0, acosh, 1.0, DBL_MAX, 1, |
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188 "-*- texinfo -*-\n\ |
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189 @deftypefn {Mapping Function} {} acosh (@var{x})\n\ |
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190 Compute the inverse hyperbolic cosine of each element of @var{x}.\n\ |
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191 @end deftypefn"); |
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192 |
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193 DEFUN_MAPPER (angle, 0, 0, 0, arg, arg, 0, 0.0, 0.0, 0, |
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194 "-*- texinfo -*-\n\ |
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195 @deftypefn {Mapping Function} {} angle (@var{z})\n\ |
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196 See arg.\n\ |
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197 @end deftypefn"); |
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198 |
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199 DEFUN_MAPPER (arg, 0, 0, 0, arg, arg, 0, 0.0, 0.0, 0, |
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200 "-*- texinfo -*-\n\ |
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201 @deftypefn {Mapping Function} {} arg (@var{z})\n\ |
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202 @deftypefnx {Mapping Function} {} angle (@var{z})\n\ |
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203 Compute the argument of @var{z}, defined as\n\ |
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204 @iftex\n\ |
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205 @tex\n\ |
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206 $\\theta = \\tan^{-1}(y/x)$.\n\ |
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207 @end tex\n\ |
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208 @end iftex\n\ |
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209 @ifinfo\n\ |
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210 @var{theta} = @code{atan (@var{y}/@var{x})}.\n\ |
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211 @end ifinfo\n\ |
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212 \n\ |
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213 @noindent\n\ |
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214 in radians. \n\ |
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215 \n\ |
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216 For example,\n\ |
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217 \n\ |
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218 @example\n\ |
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219 @group\n\ |
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220 arg (3 + 4i)\n\ |
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221 @result{} 0.92730\n\ |
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222 @end group\n\ |
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223 @end example\n\ |
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224 @end deftypefn"); |
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225 |
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226 DEFUN_MAPPER (asin, 0, 0, 0, asin, 0, asin, -1.0, 1.0, 1, |
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227 "-*- texinfo -*-\n\ |
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228 @deftypefn {Mapping Function} {} asin (@var{x})\n\ |
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229 Compute the inverse sine of each element of @var{x}.\n\ |
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230 @end deftypefn"); |
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231 |
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232 DEFUN_MAPPER (asinh, 0, 0, 0, asinh, 0, asinh, 0.0, 0.0, 0, |
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233 "-*- texinfo -*-\n\ |
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234 @deftypefn {Mapping Function} {} asinh (@var{x})\n\ |
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235 Ompute the inverse hyperbolic sine of each element of @var{x}.\n\ |
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236 @end deftypefn"); |
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237 |
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238 DEFUN_MAPPER (atan, 0, 0, 0, atan, 0, atan, 0.0, 0.0, 0, |
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239 "-*- texinfo -*-\n\ |
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240 @deftypefn {Mapping Function} {} atan (@var{x})\n\ |
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241 Compute the inverse tangent of each element of @var{x}.\n\ |
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242 @end deftypefn"); |
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243 |
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244 DEFUN_MAPPER (atanh, 0, 0, 0, atanh, 0, atanh, -1.0, 1.0, 1, |
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245 "-*- texinfo -*-\n\ |
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246 @deftypefn {Mapping Function} {} atanh (@var{x})\n\ |
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247 Compute the inverse hyperbolic tanget of each element of @var{x}.\n\ |
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248 @end deftypefn"); |
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249 |
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250 DEFUN_MAPPER (ceil, 0, 0, 0, ceil, 0, ceil, 0.0, 0.0, 0, |
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251 "-*- texinfo -*-\n\ |
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252 @deftypefn {Mapping Function} {} ceil (@var{x})\n\ |
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253 Return the smallest integer not less than @var{x}. If @var{x} is\n\ |
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254 complex, return @code{ceil (real (@var{x})) + ceil (imag (@var{x})) * I}.\n\ |
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255 @end deftypefn"); |
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256 |
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257 DEFUN_MAPPER (conj, 0, 0, 0, xconj, 0, xconj, 0.0, 0.0, 0, |
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258 "-*- texinfo -*-\n\ |
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259 @deftypefn {Mapping Function} {} conj (@var{z})\n\ |
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260 Return the complex conjugate of @var{z}, defined as\n\ |
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261 @iftex\n\ |
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262 @tex\n\ |
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263 $\\bar{z} = x - iy$.\n\ |
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264 @end tex\n\ |
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265 @end iftex\n\ |
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266 @ifinfo\n\ |
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267 @code{conj (@var{z})} = @var{x} - @var{i}@var{y}.\n\ |
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268 @end ifinfo\n\ |
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269 @end deftypefn\n\ |
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270 @seealso{real and imag}"); |
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271 |
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272 DEFUN_MAPPER (cos, 0, 0, 0, cos, 0, cos, 0.0, 0.0, 0, |
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273 "-*- texinfo -*-\n\ |
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274 @deftypefn {Mapping Function} {} cos (@var{x})\n\ |
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275 Compute the cosine of each element of @var{x}.\n\ |
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276 @end deftypefn"); |
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277 |
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278 DEFUN_MAPPER (cosh, 0, 0, 0, cosh, 0, cosh, 0.0, 0.0, 0, |
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279 "-*- texinfo -*-\n\ |
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280 @deftypefn {Mapping Function} {} cosh (@var{x})\n\ |
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281 Compute the hyperbolic cosine of each element of @var{x}.\n\ |
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282 @end deftypefn"); |
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283 |
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284 DEFUN_MAPPER (erf, 0, 0, 0, xerf, 0, 0, 0.0, 0.0, 0, |
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285 "-*- texinfo -*-\n\ |
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286 @deftypefn {Mapping Function} {} erf (@var{z})\n\ |
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287 Computes the error function,\n\ |
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288 @iftex\n\ |
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289 @tex\n\ |
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290 $$\n\ |
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291 {\\rm erf} (z) = {2 \\over \\sqrt{\\pi}}\\int_0^z e^{-t^2} dt\n\ |
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292 $$\n\ |
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293 @end tex\n\ |
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294 @end iftex\n\ |
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295 @ifinfo\n\ |
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296 \n\ |
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297 @smallexample\n\ |
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298 z\n\ |
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299 /\n\ |
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300 erf (z) = (2/sqrt (pi)) | e^(-t^2) dt\n\ |
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301 /\n\ |
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302 t=0\n\ |
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303 @end smallexample\n\ |
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304 @end ifinfo\n\ |
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305 @end deftypefn\n\ |
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306 @seealso{erfc and erfinv}"); |
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307 |
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308 DEFUN_MAPPER (erfc, 0, 0, 0, xerfc, 0, 0, 0.0, 0.0, 0, |
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309 "-*- texinfo -*-\n\ |
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310 @deftypefn {Mapping Function} {} erfc (@var{z})\n\ |
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311 Computes the complementary error function,\n\ |
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312 @iftex\n\ |
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313 @tex\n\ |
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314 $1 - {\\rm erf} (z)$.\n\ |
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315 @end tex\n\ |
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316 @end iftex\n\ |
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317 @ifinfo\n\ |
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318 @code{1 - erf (@var{z})}.\n\ |
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319 @end ifinfo\n\ |
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320 @end deftypefn\n\ |
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321 \n\ |
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322 @seealso{erf and erfinv}"); |
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323 |
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324 DEFUN_MAPPER (exp, 0, 0, 0, exp, 0, exp, 0.0, 0.0, 0, |
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325 "-*- texinfo -*-\n\ |
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326 @deftypefn {Mapping Function} {} exp (@var{x})\n\ |
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327 Compute the exponential of @var{x}. To compute the matrix exponential,\n\ |
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328 see @ref{Linear Algebra}.\n\ |
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329 @end deftypefn"); |
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330 |
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331 DEFUN_MAPPER (finite, 0, xfinite, xfinite, 0, 0, 0, 0.0, 0.0, 0, |
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332 "-*- texinfo -*-\n\ |
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333 @deftypefn {Mapping Function} {} finite (@var{x})\n\ |
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334 Return 1 for elements of @var{x} that are NaN values and zero\n\ |
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335 otherwise. For example,\n\ |
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336 \n\ |
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337 @example\n\ |
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338 @group\n\ |
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339 finite ([13, Inf, NaN])\n\ |
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340 @result{} [ 1, 0, 0 ]\n\ |
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341 @end group\n\ |
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342 @end example\n\ |
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343 @end deftypefn"); |
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344 |
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345 DEFUN_MAPPER (fix, 0, 0, 0, fix, 0, fix, 0.0, 0.0, 0, |
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346 "-*- texinfo -*-\n\ |
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347 @deftypefn {Mapping Function} {} fix (@var{x})\n\ |
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348 Truncate @var{x} toward zero. If @var{x} is complex, return\n\ |
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349 @code{fix (real (@var{x})) + fix (imag (@var{x})) * I}.\n\ |
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350 @end deftypefn"); |
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351 |
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352 DEFUN_MAPPER (floor, 0, 0, 0, floor, 0, floor, 0.0, 0.0, 0, |
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353 "-*- texinfo -*-\n\ |
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354 @deftypefn {Mapping Function} {} floor (@var{x})\n\ |
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355 Return the largest integer not greater than @var{x}. If @var{x} is\n\ |
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356 complex, return @code{floor (real (@var{x})) + floor (imag (@var{x})) * I}.\n\ |
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357 @end deftypefn"); |
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358 |
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359 DEFUN_MAPPER (gamma, 0, 0, 0, xgamma, 0, 0, 0.0, 0.0, 0, |
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360 "-*- texinfo -*-\n\ |
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361 @deftypefn {Mapping Function} {} gamma (@var{z})\n\ |
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362 Computes the Gamma function,\n\ |
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363 @iftex\n\ |
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364 @tex\n\ |
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365 $$\n\ |
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366 \\Gamma (z) = \\int_0^\\infty t^{z-1} e^{-t} dt.\n\ |
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367 $$\n\ |
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368 @end tex\n\ |
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369 @end iftex\n\ |
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370 @ifinfo\n\ |
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371 \n\ |
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372 @example\n\ |
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373 infinity\n\ |
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374 /\n\ |
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375 gamma (z) = | t^(z-1) exp (-t) dt.\n\ |
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376 /\n\ |
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377 t=0\n\ |
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378 @end example\n\ |
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379 @end ifinfo\n\ |
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380 @end deftypefn\n\ |
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381 \n\ |
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382 @seealso{gammai and lgamma}"); |
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383 |
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384 DEFUN_MAPPER (imag, 0, 0, 0, imag, ximag, 0, 0.0, 0.0, 0, |
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385 "-*- texinfo -*-\n\ |
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386 @deftypefn {Mapping Function} {} imag (@var{z})\n\ |
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387 Return the imaginary part of @var{z} as a real number.\n\ |
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388 @end deftypefn\n\ |
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389 \n\ |
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390 @seealso{real and conj}"); |
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391 |
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392 DEFUN_MAPPER (isalnum, xisalnum, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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393 "-*- texinfo -*-\n\ |
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394 @deftypefn {Mapping Function} {} isalnum (@var{s})\n\ |
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395 Return 1 for characters that are letters or digits (@code{isalpha\n\ |
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396 (@var{a})} or @code{isdigit (@var{a})} is true).\n\ |
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397 @end deftypefn"); |
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398 |
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399 DEFUN_MAPPER (isalpha, xisalpha, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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400 "-*- texinfo -*-\n\ |
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401 @deftypefn {Mapping Function} {} isalpha (@var{s})\n\ |
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402 Return true for characters that are letters (@code{isupper (@var{a})}\n\ |
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403 or @code{islower (@var{})} is true).\n\ |
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404 @end deftypefn"); |
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405 |
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406 DEFUN_MAPPER (isascii, xisascii, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
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407 "-*- texinfo -*-\n\ |
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408 @deftypefn {Mapping Function} {} isascii (@var{s})\n\ |
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409 Return 1 for characters that are ASCII (in the range 0 to 127 decimal).\n\ |
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|
410 @end deftypefn"); |
|
2089
|
411 |
|
3249
|
412 DEFUN_MAPPER (iscntrl, xiscntrl, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
413 "-*- texinfo -*-\n\ |
|
|
414 @deftypefn {Mapping Function} {} iscntrl (@var{s})\n\ |
|
|
415 Return 1 for control characters.\n\ |
|
|
416 @end deftypefn"); |
|
2089
|
417 |
|
3249
|
418 DEFUN_MAPPER (isdigit, xisdigit, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
419 "-*- texinfo -*-\n\ |
|
|
420 @deftypefn {Mapping Function} {} isdigit (@var{s})\n\ |
|
|
421 Return 1 for characters that are decimal digits.\n\ |
|
|
422 @end deftypefn"); |
|
2089
|
423 |
|
3249
|
424 DEFUN_MAPPER (isinf, 0, xisinf, xisinf, 0, 0, 0, 0.0, 0.0, 0, |
|
3369
|
425 "-*- texinfo -*-\n\ |
|
|
426 @deftypefn {Mapping Function} {} isinf (@var{x})\n\ |
|
|
427 Return 1 for elements of @var{x} that are infinite and zero\n\ |
|
|
428 otherwise. For example,\n\ |
|
|
429 \n\ |
|
|
430 @example\n\ |
|
|
431 @group\n\ |
|
|
432 isinf ([13, Inf, NaN])\n\ |
|
|
433 @result{} [ 0, 1, 0 ]\n\ |
|
|
434 @end group\n\ |
|
|
435 @end example\n\ |
|
|
436 @end deftypefn"); |
|
529
|
437 |
|
3249
|
438 DEFUN_MAPPER (isgraph, xisgraph, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
439 "-*- texinfo -*-\n\ |
|
|
440 @deftypefn {Mapping Function} {} isgraph (@var{s})\n\ |
|
|
441 Return 1 for printable characters (but not the space character).\n\ |
|
|
442 @end deftypefn"); |
|
529
|
443 |
|
3249
|
444 DEFUN_MAPPER (islower, xislower, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
445 "-*- texinfo -*-\n\ |
|
|
446 @deftypefn {Mapping Function} {} islower (@var{s})\n\ |
|
|
447 Return 1 for characters that are lower case letters.\n\ |
|
|
448 @end deftypefn"); |
|
2089
|
449 |
|
3249
|
450 DEFUN_MAPPER (isnan, 0, xisnan, xisnan, 0, 0, 0, 0.0, 0.0, 0, |
|
3369
|
451 "-*- texinfo -*-\n\ |
|
|
452 @deftypefn {Mapping Function} {} isnan (@var{x})\n\ |
|
|
453 Return 1 for elements of @var{x} that are NaN values and zero\n\ |
|
|
454 otherwise. For example,\n\ |
|
|
455 \n\ |
|
|
456 @example\n\ |
|
|
457 @group\n\ |
|
|
458 isnan ([13, Inf, NaN])\n\ |
|
|
459 @result{} [ 0, 0, 1 ]\n\ |
|
|
460 @end group\n\ |
|
|
461 @end example\n\ |
|
|
462 @end deftypefn"); |
|
624
|
463 |
|
3249
|
464 DEFUN_MAPPER (isprint, xisprint, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
465 "-*- texinfo -*-\n\ |
|
|
466 @deftypefn {Mapping Function} {} isprint (@var{s})\n\ |
|
|
467 Return 1 for printable characters (including the space character).\n\ |
|
|
468 @end deftypefn"); |
|
2089
|
469 |
|
3249
|
470 DEFUN_MAPPER (ispunct, xispunct, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
471 "-*- texinfo -*-\n\ |
|
|
472 @deftypefn {Mapping Function} {} ispunct (@var{s})\n\ |
|
|
473 Return 1 for punctuation characters.\n\ |
|
|
474 @end deftypefn"); |
|
2089
|
475 |
|
3249
|
476 DEFUN_MAPPER (isspace, xisspace, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
477 "-*- texinfo -*-\n\ |
|
|
478 @deftypefn {Mapping Function} {} isspace (@var{s})\n\ |
|
|
479 Return 1 for whitespace characters (space, formfeed, newline,\n\ |
|
|
480 carriage return, tab, and vertical tab).\n\ |
|
|
481 @end deftypefn"); |
|
2089
|
482 |
|
3249
|
483 DEFUN_MAPPER (isupper, xisupper, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
484 "-*- texinfo -*-\n\ |
|
|
485 @deftypefn {Mapping Function} {} isupper (@var{s})\n\ |
|
|
486 Return 1 for upper case letters.\n\ |
|
|
487 @end deftypefn"); |
|
2089
|
488 |
|
3249
|
489 DEFUN_MAPPER (isxdigit, xisxdigit, 0, 0, 0, 0, 0, 0.0, 0.0, 0, |
|
3361
|
490 "-*- texinfo -*-\n\ |
|
|
491 @deftypefn {Mapping Function} {} isxdigit (@var{s})\n\ |
|
|
492 Return 1 for characters that are hexadecimal digits.\n\ |
|
|
493 @end deftypefn"); |
|
2089
|
494 |
|
3249
|
495 DEFUN_MAPPER (lgamma, 0, 0, 0, xlgamma, 0, 0, 0.0, 0.0, 0, |
|
3321
|
496 "-*- texinfo -*-\n\ |
|
|
497 @deftypefn {Mapping Function} {} lgamma (@var{a}, @var{x})\n\ |
|
|
498 @deftypefnx {Mapping Function} {} gammaln (@var{a}, @var{x})\n\ |
|
|
499 Return the natural logarithm of the gamma function.\n\ |
|
|
500 @end deftypefn\n\ |
|
3411
|
501 @seealso{gamma and gammai}"); |
|
529
|
502 |
|
3249
|
503 DEFUN_MAPPER (log, 0, 0, 0, log, 0, log, 0.0, DBL_MAX, 1, |
|
3321
|
504 "-*- texinfo -*-\n\ |
|
|
505 @deftypefn {Mapping Function} {} log (@var{x})\n\ |
|
|
506 Compute the natural logarithm for each element of @var{x}. To compute the\n\ |
|
|
507 matrix logarithm, see @ref{Linear Algebra}.\n\ |
|
|
508 @end deftypefn\n\ |
|
3411
|
509 @seealso{log2, log10, logspace, and exp}"); |
|
529
|
510 |
|
3249
|
511 DEFUN_MAPPER (log10, 0, 0, 0, log10, 0, log10, 0.0, DBL_MAX, 1, |
|
3321
|
512 "-*- texinfo -*-\n\ |
|
|
513 @deftypefn {Mapping Function} {} log10 (@var{x})\n\ |
|
|
514 Compute the base-10 logarithm for each element of @var{x}.\n\ |
|
|
515 @end deftypefn\n\ |
|
3411
|
516 @seealso{log, log2, logspace, and exp}"); |
|
529
|
517 |
|
3564
|
518 DEFUN_MAPPER (real, 0, 0, 0, real, xreal, 0, 0.0, 0.0, 0, |
|
3381
|
519 "-*- texinfo -*-\n\ |
|
3321
|
520 @deftypefn {Mapping Function} {} real (@var{z})\n\ |
|
|
521 Return the real part of @var{z}.\n\ |
|
|
522 @end deftypefn\n\ |
|
3411
|
523 @seealso{imag and conj}"); |
|
529
|
524 |
|
3249
|
525 DEFUN_MAPPER (round, 0, 0, 0, round, 0, round, 0.0, 0.0, 0, |
|
3321
|
526 "-*- texinfo -*-\n\ |
|
|
527 @deftypefn {Mapping Function} {} round (@var{x})\n\ |
|
|
528 Return the integer nearest to @var{x}. If @var{x} is complex, return\n\ |
|
|
529 @code{round (real (@var{x})) + round (imag (@var{x})) * I}.\n\ |
|
|
530 @end deftypefn\n\ |
|
3411
|
531 @seealso{rem}"); |
|
529
|
532 |
|
3249
|
533 DEFUN_MAPPER (sign, 0, 0, 0, signum, 0, signum, 0.0, 0.0, 0, |
|
3321
|
534 "-*- texinfo -*-\n\ |
|
|
535 @deftypefn {Mapping Function} {} sign (@var{x})\n\ |
|
|
536 Compute the @dfn{signum} function, which is defined as\n\ |
|
|
537 @iftex\n\ |
|
|
538 @tex\n\ |
|
|
539 $$\n\ |
|
|
540 {\\rm sign} (@var{x}) = \\cases{1,&$x>0$;\\cr 0,&$x=0$;\\cr -1,&$x<0$.\\cr}\n\ |
|
|
541 $$\n\ |
|
|
542 @end tex\n\ |
|
|
543 @end iftex\n\ |
|
|
544 @ifinfo\n\ |
|
|
545 \n\ |
|
|
546 @example\n\ |
|
|
547 -1, x < 0;\n\ |
|
|
548 sign (x) = 0, x = 0;\n\ |
|
|
549 1, x > 0.\n\ |
|
|
550 @end example\n\ |
|
|
551 @end ifinfo\n\ |
|
|
552 \n\ |
|
|
553 For complex arguments, @code{sign} returns @code{x ./ abs (@var{x})}.\n\ |
|
|
554 @end deftypefn"); |
|
529
|
555 |
|
3249
|
556 DEFUN_MAPPER (sin, 0, 0, 0, sin, 0, sin, 0.0, 0.0, 0, |
|
3321
|
557 "-*- texinfo -*-\n\ |
|
3428
|
558 @deftypefn {Mapping Function} {} sin (@var{x})\n\ |
|
|
559 Compute the sin of each element of @var{x}.\n\ |
|
3321
|
560 @end deftypefn"); |
|
529
|
561 |
|
3249
|
562 DEFUN_MAPPER (sinh, 0, 0, 0, sinh, 0, sinh, 0.0, 0.0, 0, |
|
3321
|
563 "-*- texinfo -*-\n\ |
|
3428
|
564 @deftypefn {Mapping Function} {} sinh (@var{x})\n\ |
|
|
565 Compute the inverse hyperbolic sin of each element of @var{x}.\n\ |
|
3321
|
566 @end deftypefn"); |
|
529
|
567 |
|
3249
|
568 DEFUN_MAPPER (sqrt, 0, 0, 0, sqrt, 0, sqrt, 0.0, DBL_MAX, 1, |
|
3321
|
569 "-*- texinfo -*-\n\ |
|
|
570 @deftypefn {Mapping Function} {} sqrt (@var{x})\n\ |
|
|
571 Compute the square root of @var{x}. If @var{x} is negative, a complex\n\ |
|
|
572 result is returned. To compute the matrix square root, see\n\ |
|
|
573 @ref{Linear Algebra}.\n\ |
|
|
574 @end deftypefn"); |
|
529
|
575 |
|
3249
|
576 DEFUN_MAPPER (tan, 0, 0, 0, tan, 0, tan, 0.0, 0.0, 0, |
|
3321
|
577 "-*- texinfo -*-\n\ |
|
|
578 @deftypefn {Mapping Function} {} tan (@var{z})\n\ |
|
3428
|
579 Compute tanget of each element of @var{x}.\n\ |
|
3321
|
580 @end deftypefn"); |
|
529
|
581 |
|
3249
|
582 DEFUN_MAPPER (tanh, 0, 0, 0, tanh, 0, tanh, 0.0, 0.0, 0, |
|
3321
|
583 "-*- texinfo -*-\n\ |
|
3428
|
584 @deftypefn {Mapping Function} {} tanh (@var{x})\n\ |
|
|
585 Compute hyperbolic tangent of each element of @var{x}.\n\ |
|
3321
|
586 @end deftypefn"); |
|
1562
|
587 |
|
3249
|
588 DEFUN_MAPPER (toascii, xtoascii, 0, 0, 0, 0, 0, 0.0, 0.0, 1, |
|
3361
|
589 "-*- texinfo -*-\n\ |
|
|
590 @deftypefn {Mapping Function} {} toascii (@var{s})\n\ |
|
|
591 Return ASCII representation of @var{s} in a matrix. For example,\n\ |
|
|
592 \n\ |
|
|
593 @example\n\ |
|
|
594 @group\n\ |
|
|
595 toascii (\"ASCII\")\n\ |
|
|
596 @result{} [ 65, 83, 67, 73, 73 ]\n\ |
|
|
597 @end group\n\ |
|
|
598 \n\ |
|
|
599 @end example\n\ |
|
3362
|
600 @end deftypefn"); |
|
2267
|
601 |
|
3249
|
602 DEFUN_MAPPER (tolower, xtolower, 0, 0, 0, 0, 0, 0.0, 0.0, 2, |
|
3361
|
603 "-*- texinfo -*-\n\ |
|
|
604 @deftypefn {Mapping Function} {} tolower (@var{s})\n\ |
|
|
605 Return a copy of the string @var{s}, with each upper-case character\n\ |
|
|
606 replaced by the corresponding lower-case one; nonalphabetic characters\n\ |
|
|
607 are left unchanged. For example,\n\ |
|
|
608 \n\ |
|
|
609 @example\n\ |
|
|
610 tolower (\"MiXeD cAsE 123\")\n\ |
|
|
611 @result{} \"mixed case 123\"\n\ |
|
|
612 @end example\n\ |
|
3362
|
613 @end deftypefn"); |
|
2267
|
614 |
|
3249
|
615 DEFUN_MAPPER (toupper, xtoupper, 0, 0, 0, 0, 0, 0.0, 0.0, 2, |
|
3361
|
616 "-*- texinfo -*-\n\ |
|
3368
|
617 @deftypefn {Built-in Function} {} toupper (@var{s})\n\ |
|
3361
|
618 Return a copy of the string @var{s}, with each lower-case character\n\ |
|
|
619 replaced by the corresponding upper-case one; nonalphabetic characters\n\ |
|
|
620 are left unchanged. For example,\n\ |
|
|
621 \n\ |
|
|
622 @example\n\ |
|
|
623 @group\n\ |
|
3552
|
624 toupper (\"MiXeD cAsE 123\")\n\ |
|
3361
|
625 @result{} \"MIXED CASE 123\"\n\ |
|
|
626 @end group\n\ |
|
|
627 @end example\n\ |
|
3362
|
628 @end deftypefn"); |
|
2267
|
629 |
|
1562
|
630 DEFALIAS (gammaln, lgamma); |
|
3206
|
631 |
|
|
632 DEFALIAS (isfinite, finite); |
|
3321
|
633 |
|
|
634 // Leave the previous new line, mkgendoc needs it! |
|
529
|
635 } |
|
|
636 |
|
1
|
637 /* |
|
|
638 ;;; Local Variables: *** |
|
|
639 ;;; mode: C++ *** |
|
|
640 ;;; End: *** |
|
|
641 */ |
