annotate src/mappers.cc @ 3373:36405da8e173

[project @ 1999-11-23 20:54:17 by jwe]
author jwe
date Tue, 23 Nov 1999 20:54:31 +0000
parents f37ca3017116
children 69b167451491
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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 <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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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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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 {Mapping Function} {} 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 {Mapping Function} {} 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 "-*- texinfo -*-\n\
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307 @deftypefn {Mapping Function} {} finite (@var{x})\n\
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308 Return 1 for elements of @var{x} that are NaN values and zero\n\
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309 otherwise. For example,\n\
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310 \n\
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311 @example\n\
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312 @group\n\
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313 finite ([13, Inf, NaN])\n\
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314 @result{} [ 1, 0, 0 ]\n\
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315 @end group\n\
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316 @end example\n\
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317 @end deftypefn");
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318
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319 DEFUN_MAPPER (fix, 0, 0, 0, fix, 0, fix, 0.0, 0.0, 0,
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320 "-*- texinfo -*-\n\
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321 @deftypefn {Mapping Function} {} fix (@var{x})\n\
3321
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322 Truncate @var{x} toward zero. If @var{x} is complex, return\n\
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323 @code{fix (real (@var{x})) + fix (imag (@var{x})) * I}.\n\
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324 @end deftypefn");
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325
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326 DEFUN_MAPPER (floor, 0, 0, 0, floor, 0, floor, 0.0, 0.0, 0,
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327 "-*- texinfo -*-\n\
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328 @deftypefn {Mapping Function} {} floor (@var{x})\n\
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329 Return the largest integer not greater than @var{x}. If @var{x} is\n\
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330 complex, return @code{floor (real (@var{x})) + floor (imag (@var{x})) * I}.\n\
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331 @end deftypefn");
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332
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333 DEFUN_MAPPER (gamma, 0, 0, 0, xgamma, 0, 0, 0.0, 0.0, 0,
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334 "-*- texinfo -*-\n\
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335 @deftypefn {Mapping Function} {} gamma (@var{z})\n\
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336 Computes the Gamma function,\n\
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337 @iftex\n\
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338 @tex\n\
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339 $$\n\
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340 \\Gamma (z) = \\int_0^\\infty t^{z-1} e^{-t} dt.\n\
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341 $$\n\
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342 @end tex\n\
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343 @end iftex\n\
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344 @ifinfo\n\
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345 \n\
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346 @example\n\
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347 infinity\n\
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348 /\n\
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349 gamma (z) = | t^(z-1) exp (-t) dt.\n\
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350 /\n\
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351 t=0\n\
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352 @end example\n\
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353 @end ifinfo\n\
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354 @end deftypefn\n\
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355 \n\
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356 See also: gammai, lgamma");
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357
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358 DEFUN_MAPPER (imag, 0, 0, 0, imag, imag, 0, 0.0, 0.0, 0,
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359 "-*- texinfo -*-\n\
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360 @deftypefn {Mapping Function} {} imag (@var{z})\n\
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361 Return the imaginary part of @var{z} as a real number.\n\
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362 @end deftypefn\n\
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363 \n\
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364 See also: real, conj");
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365
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366 DEFUN_MAPPER (isalnum, xisalnum, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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367 "-*- texinfo -*-\n\
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368 @deftypefn {Mapping Function} {} isalnum (@var{s})\n\
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369 Return 1 for characters that are letters or digits (@code{isalpha\n\
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370 (@var{a})} or @code{isdigit (@var{a})} is true).\n\
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371 @end deftypefn");
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372
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373 DEFUN_MAPPER (isalpha, xisalpha, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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374 "-*- texinfo -*-\n\
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375 @deftypefn {Mapping Function} {} isalpha (@var{s})\n\
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376 Return true for characters that are letters (@code{isupper (@var{a})}\n\
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377 or @code{islower (@var{})} is true).\n\
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378 @end deftypefn");
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379
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380 DEFUN_MAPPER (isascii, xisascii, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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381 "-*- texinfo -*-\n\
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382 @deftypefn {Mapping Function} {} isascii (@var{s})\n\
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383 Return 1 for characters that are ASCII (in the range 0 to 127 decimal).\n\
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384 @end deftypefn");
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385
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386 DEFUN_MAPPER (iscntrl, xiscntrl, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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387 "-*- texinfo -*-\n\
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388 @deftypefn {Mapping Function} {} iscntrl (@var{s})\n\
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389 Return 1 for control characters.\n\
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390 @end deftypefn");
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391
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392 DEFUN_MAPPER (isdigit, xisdigit, 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} {} isdigit (@var{s})\n\
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395 Return 1 for characters that are decimal digits.\n\
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396 @end deftypefn");
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397
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398 DEFUN_MAPPER (isinf, 0, xisinf, xisinf, 0, 0, 0, 0.0, 0.0, 0,
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399 "-*- texinfo -*-\n\
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400 @deftypefn {Mapping Function} {} isinf (@var{x})\n\
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401 Return 1 for elements of @var{x} that are infinite and zero\n\
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402 otherwise. For example,\n\
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403 \n\
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404 @example\n\
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405 @group\n\
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406 isinf ([13, Inf, NaN])\n\
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407 @result{} [ 0, 1, 0 ]\n\
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408 @end group\n\
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409 @end example\n\
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410 @end deftypefn");
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411
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412 DEFUN_MAPPER (isgraph, xisgraph, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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413 "-*- texinfo -*-\n\
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414 @deftypefn {Mapping Function} {} isgraph (@var{s})\n\
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415 Return 1 for printable characters (but not the space character).\n\
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416 @end deftypefn");
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417
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418 DEFUN_MAPPER (islower, xislower, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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419 "-*- texinfo -*-\n\
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420 @deftypefn {Mapping Function} {} islower (@var{s})\n\
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421 Return 1 for characters that are lower case letters.\n\
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422 @end deftypefn");
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423
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424 DEFUN_MAPPER (isnan, 0, xisnan, xisnan, 0, 0, 0, 0.0, 0.0, 0,
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425 "-*- texinfo -*-\n\
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426 @deftypefn {Mapping Function} {} isnan (@var{x})\n\
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diff changeset
427 Return 1 for elements of @var{x} that are NaN values and zero\n\
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428 otherwise. For example,\n\
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429 \n\
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430 @example\n\
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431 @group\n\
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432 isnan ([13, Inf, NaN])\n\
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433 @result{} [ 0, 0, 1 ]\n\
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434 @end group\n\
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diff changeset
435 @end example\n\
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436 @end deftypefn");
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437
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438 DEFUN_MAPPER (isprint, xisprint, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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439 "-*- texinfo -*-\n\
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440 @deftypefn {Mapping Function} {} isprint (@var{s})\n\
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441 Return 1 for printable characters (including the space character).\n\
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diff changeset
442 @end deftypefn");
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443
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444 DEFUN_MAPPER (ispunct, xispunct, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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445 "-*- texinfo -*-\n\
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446 @deftypefn {Mapping Function} {} ispunct (@var{s})\n\
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diff changeset
447 Return 1 for punctuation characters.\n\
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diff changeset
448 @end deftypefn");
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449
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450 DEFUN_MAPPER (isspace, xisspace, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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diff changeset
451 "-*- texinfo -*-\n\
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diff changeset
452 @deftypefn {Mapping Function} {} isspace (@var{s})\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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diff changeset
453 Return 1 for whitespace characters (space, formfeed, newline,\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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diff changeset
454 carriage return, tab, and vertical tab).\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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diff changeset
455 @end deftypefn");
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diff changeset
456
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457 DEFUN_MAPPER (isupper, xisupper, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
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diff changeset
458 "-*- texinfo -*-\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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459 @deftypefn {Mapping Function} {} isupper (@var{s})\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
460 Return 1 for upper case letters.\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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diff changeset
461 @end deftypefn");
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diff changeset
462
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463 DEFUN_MAPPER (isxdigit, xisxdigit, 0, 0, 0, 0, 0, 0.0, 0.0, 0,
3361
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diff changeset
464 "-*- texinfo -*-\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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465 @deftypefn {Mapping Function} {} isxdigit (@var{s})\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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diff changeset
466 Return 1 for characters that are hexadecimal digits.\n\
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diff changeset
467 @end deftypefn");
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diff changeset
468
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469 DEFUN_MAPPER (lgamma, 0, 0, 0, xlgamma, 0, 0, 0.0, 0.0, 0,
3321
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diff changeset
470 "-*- texinfo -*-\n\
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diff changeset
471 @deftypefn {Mapping Function} {} lgamma (@var{a}, @var{x})\n\
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472 @deftypefnx {Mapping Function} {} gammaln (@var{a}, @var{x})\n\
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473 Return the natural logarithm of the gamma function.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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diff changeset
474 @end deftypefn\n\
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parents: 3249
diff changeset
475 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
476 See also: gamma, gammai");
529
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parents: 331
diff changeset
477
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parents: 3206
diff changeset
478 DEFUN_MAPPER (log, 0, 0, 0, log, 0, log, 0.0, DBL_MAX, 1,
3321
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diff changeset
479 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
480 @deftypefn {Mapping Function} {} log (@var{x})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
481 Compute the natural logarithm for each element of @var{x}. To compute the\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
482 matrix logarithm, see @ref{Linear Algebra}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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diff changeset
483 @end deftypefn\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
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484 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
485 See also: log2, log10, logspace, exp");
529
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parents: 331
diff changeset
486
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487 DEFUN_MAPPER (log10, 0, 0, 0, log10, 0, log10, 0.0, DBL_MAX, 1,
3321
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488 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
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489 @deftypefn {Mapping Function} {} log10 (@var{x})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
490 Compute the base-10 logarithm for each element of @var{x}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
491 @end deftypefn\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
492 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
493 See also: log, log2, logspace, exp");
529
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parents: 331
diff changeset
494
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495 DEFUN_MAPPER (real, 0, 0, 0, real, real, 0, 0.0, 0.0, 0,
3321
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diff changeset
496 "-*-texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
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497 @deftypefn {Mapping Function} {} real (@var{z})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
498 Return the real part of @var{z}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
499 @end deftypefn\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
500 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
501 See also: imag, conj");
529
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parents: 331
diff changeset
502
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503 DEFUN_MAPPER (round, 0, 0, 0, round, 0, round, 0.0, 0.0, 0,
3321
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parents: 3249
diff changeset
504 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
505 @deftypefn {Mapping Function} {} round (@var{x})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
506 Return the integer nearest to @var{x}. If @var{x} is complex, return\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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diff changeset
507 @code{round (real (@var{x})) + round (imag (@var{x})) * I}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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diff changeset
508 @end deftypefn\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
509 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
510 See also: rem");
529
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parents: 331
diff changeset
511
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diff changeset
512 DEFUN_MAPPER (sign, 0, 0, 0, signum, 0, signum, 0.0, 0.0, 0,
3321
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diff changeset
513 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
514 @deftypefn {Mapping Function} {} sign (@var{x})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
515 Compute the @dfn{signum} function, which is defined as\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
516 @iftex\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
517 @tex\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
518 $$\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
519 {\\rm sign} (@var{x}) = \\cases{1,&$x>0$;\\cr 0,&$x=0$;\\cr -1,&$x<0$.\\cr}\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
520 $$\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
521 @end tex\n\
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parents: 3249
diff changeset
522 @end iftex\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
523 @ifinfo\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
524 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
525 @example\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
526 -1, x < 0;\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
527 sign (x) = 0, x = 0;\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
528 1, x > 0.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
529 @end example\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
530 @end ifinfo\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
531 \n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
532 For complex arguments, @code{sign} returns @code{x ./ abs (@var{x})}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
533 @end deftypefn");
529
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parents: 331
diff changeset
534
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diff changeset
535 DEFUN_MAPPER (sin, 0, 0, 0, sin, 0, sin, 0.0, 0.0, 0,
3321
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parents: 3249
diff changeset
536 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
537 @deftypefn {Mapping Function} {} sin (@var{X})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
538 sin (X): compute the sin of X for each element of X\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
539 @end deftypefn");
529
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parents: 331
diff changeset
540
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parents: 3206
diff changeset
541 DEFUN_MAPPER (sinh, 0, 0, 0, sinh, 0, sinh, 0.0, 0.0, 0,
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
542 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
543 @deftypefn {Mapping Function} {} sinh (@var{X})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
544 sinh (X): compute the inverse hyperbolic sin of X for each element of X\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
545 @end deftypefn");
529
7ea224e713cd [project @ 1994-07-20 18:54:27 by jwe]
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parents: 331
diff changeset
546
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diff changeset
547 DEFUN_MAPPER (sqrt, 0, 0, 0, sqrt, 0, sqrt, 0.0, DBL_MAX, 1,
3321
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parents: 3249
diff changeset
548 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
549 @deftypefn {Mapping Function} {} sqrt (@var{x})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
550 Compute the square root of @var{x}. If @var{x} is negative, a complex\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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parents: 3249
diff changeset
551 result is returned. To compute the matrix square root, see\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
552 @ref{Linear Algebra}.\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
553 @end deftypefn");
529
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parents: 331
diff changeset
554
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diff changeset
555 DEFUN_MAPPER (tan, 0, 0, 0, tan, 0, tan, 0.0, 0.0, 0,
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
556 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
557 @deftypefn {Mapping Function} {} tan (@var{z})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
558 tan (X): compute tanget of X for each element of X\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
559 @end deftypefn");
529
7ea224e713cd [project @ 1994-07-20 18:54:27 by jwe]
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parents: 331
diff changeset
560
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diff changeset
561 DEFUN_MAPPER (tanh, 0, 0, 0, tanh, 0, tanh, 0.0, 0.0, 0,
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
562 "-*- texinfo -*-\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
563 @deftypefn {Mapping Function} {} tanh (@var{X})\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
564 tanh (X): compute hyperbolic tangent of X for each element of X\n\
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3249
diff changeset
565 @end deftypefn");
1562
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parents: 1384
diff changeset
566
3249
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diff changeset
567 DEFUN_MAPPER (toascii, xtoascii, 0, 0, 0, 0, 0, 0.0, 0.0, 1,
3361
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
568 "-*- texinfo -*-\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
569 @deftypefn {Mapping Function} {} toascii (@var{s})\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
570 Return ASCII representation of @var{s} in a matrix. For example,\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
571 \n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
572 @example\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
573 @group\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
574 toascii (\"ASCII\")\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
575 @result{} [ 65, 83, 67, 73, 73 ]\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
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parents: 3322
diff changeset
576 @end group\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
577 \n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
578 @end example\n\
3362
49ae660cdb39 [project @ 1999-11-19 21:25:44 by jwe]
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parents: 3361
diff changeset
579 @end deftypefn");
2267
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parents: 2190
diff changeset
580
3249
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parents: 3206
diff changeset
581 DEFUN_MAPPER (tolower, xtolower, 0, 0, 0, 0, 0, 0.0, 0.0, 2,
3361
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
582 "-*- texinfo -*-\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
583 @deftypefn {Mapping Function} {} tolower (@var{s})\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
584 Return a copy of the string @var{s}, with each upper-case character\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
585 replaced by the corresponding lower-case one; nonalphabetic characters\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
586 are left unchanged. For example,\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
587 \n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
588 @example\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
589 tolower (\"MiXeD cAsE 123\")\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
590 @result{} \"mixed case 123\"\n\
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
parents: 3322
diff changeset
591 @end example\n\
3362
49ae660cdb39 [project @ 1999-11-19 21:25:44 by jwe]
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parents: 3361
diff changeset
592 @end deftypefn");
2267
4028b7c79927 [project @ 1996-05-24 00:39:30 by jwe]
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parents: 2190
diff changeset
593
3249
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jwe
parents: 3206
diff changeset
594 DEFUN_MAPPER (toupper, xtoupper, 0, 0, 0, 0, 0, 0.0, 0.0, 2,
3361
4f40efa995c1 [project @ 1999-11-19 21:19:37 by jwe]
jwe
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595 "-*- texinfo -*-\n\
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596 @deftypefn {Built-in Function} {} toupper (@var{s})\n\
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597 Return a copy of the string @var{s}, with each lower-case character\n\
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598 replaced by the corresponding upper-case one; nonalphabetic characters\n\
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599 are left unchanged. For example,\n\
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600 \n\
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601 @example\n\
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602 @group\n\
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603 toupper (\"MiXeD cAsE 123\")
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604 @result{} \"MIXED CASE 123\"\n\
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605 @end group\n\
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606 @end example\n\
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607 @end deftypefn");
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608
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609 DEFALIAS (gammaln, lgamma);
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610
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611 DEFALIAS (isfinite, finite);
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612
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613 // Leave the previous new line, mkgendoc needs it!
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614 }
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615
1
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616 /*
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617 ;;; Local Variables: ***
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618 ;;; mode: C++ ***
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619 ;;; End: ***
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620 */