annotate doc/interpreter/func.txi @ 4718:ab71705f294f

[project @ 2004-01-23 03:21:05 by jwe]
author jwe
date Fri, 23 Jan 2004 03:21:05 +0000
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1 @c Copyright (C) 1996, 1997 John W. Eaton
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2 @c This is part of the Octave manual.
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3 @c For copying conditions, see the file gpl.texi.
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4
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5 @node Functions and Scripts
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6 @chapter Functions and Script Files
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7 @cindex defining functions
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8 @cindex user-defined functions
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9 @cindex functions, user-defined
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10 @cindex script files
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11
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12 Complicated Octave programs can often be simplified by defining
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13 functions. Functions can be defined directly on the command line during
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14 interactive Octave sessions, or in external files, and can be called just
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15 like built-in functions.
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16
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17 @menu
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18 * Defining Functions::
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19 * Multiple Return Values::
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20 * Variable-length Argument Lists::
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21 * Variable-length Return Lists::
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22 * Returning From a Function::
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23 * Function Files::
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24 * Script Files::
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25 * Dynamically Linked Functions::
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26 * Organization of Functions::
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27 @end menu
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28
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29 @node Defining Functions
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30 @section Defining Functions
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31 @cindex @code{function} statement
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32 @cindex @code{endfunction} statement
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33
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34 In its simplest form, the definition of a function named @var{name}
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35 looks like this:
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36
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37 @example
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38 @group
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39 function @var{name}
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40 @var{body}
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41 endfunction
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42 @end group
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43 @end example
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44
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45 @noindent
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46 A valid function name is like a valid variable name: a sequence of
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47 letters, digits and underscores, not starting with a digit. Functions
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48 share the same pool of names as variables.
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49
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50 The function @var{body} consists of Octave statements. It is the
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51 most important part of the definition, because it says what the function
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52 should actually @emph{do}.
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53
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54 For example, here is a function that, when executed, will ring the bell
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55 on your terminal (assuming that it is possible to do so):
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56
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57 @example
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58 @group
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59 function wakeup
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60 printf ("\a");
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61 endfunction
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62 @end group
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63 @end example
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64
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65 The @code{printf} statement (@pxref{Input and Output}) simply tells
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66 Octave to print the string @code{"\a"}. The special character @samp{\a}
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67 stands for the alert character (ASCII 7). @xref{Strings}.
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68
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69 Once this function is defined, you can ask Octave to evaluate it by
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70 typing the name of the function.
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71
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72 Normally, you will want to pass some information to the functions you
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73 define. The syntax for passing parameters to a function in Octave is
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74
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75 @example
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76 @group
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77 function @var{name} (@var{arg-list})
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78 @var{body}
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79 endfunction
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80 @end group
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81 @end example
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82
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83 @noindent
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84 where @var{arg-list} is a comma-separated list of the function's
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85 arguments. When the function is called, the argument names are used to
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86 hold the argument values given in the call. The list of arguments may
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87 be empty, in which case this form is equivalent to the one shown above.
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88
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89 To print a message along with ringing the bell, you might modify the
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90 @code{beep} to look like this:
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91
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92 @example
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93 @group
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94 function wakeup (message)
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95 printf ("\a%s\n", message);
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96 endfunction
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97 @end group
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98 @end example
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99
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100 Calling this function using a statement like this
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101
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102 @example
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103 wakeup ("Rise and shine!");
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104 @end example
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105
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106 @noindent
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107 will cause Octave to ring your terminal's bell and print the message
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108 @samp{Rise and shine!}, followed by a newline character (the @samp{\n}
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109 in the first argument to the @code{printf} statement).
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110
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111 In most cases, you will also want to get some information back from the
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112 functions you define. Here is the syntax for writing a function that
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113 returns a single value:
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114
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115 @example
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116 @group
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117 function @var{ret-var} = @var{name} (@var{arg-list})
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118 @var{body}
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119 endfunction
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120 @end group
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121 @end example
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122
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123 @noindent
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124 The symbol @var{ret-var} is the name of the variable that will hold the
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125 value to be returned by the function. This variable must be defined
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126 before the end of the function body in order for the function to return
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127 a value.
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128
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129 Variables used in the body of a function are local to the
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130 function. Variables named in @var{arg-list} and @var{ret-var} are also
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131 local to the function. @xref{Global Variables}, for information about
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132 how to access global variables inside a function.
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133
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134 For example, here is a function that computes the average of the
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135 elements of a vector:
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136
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137 @example
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138 @group
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139 function retval = avg (v)
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140 retval = sum (v) / length (v);
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141 endfunction
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142 @end group
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143 @end example
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144
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145 If we had written @code{avg} like this instead,
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146
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147 @example
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148 @group
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149 function retval = avg (v)
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150 if (isvector (v))
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151 retval = sum (v) / length (v);
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152 endif
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153 endfunction
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154 @end group
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155 @end example
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156
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157 @noindent
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158 and then called the function with a matrix instead of a vector as the
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159 argument, Octave would have printed an error message like this:
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160
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161 @example
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162 @group
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163 error: `retval' undefined near line 1 column 10
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164 error: evaluating index expression near line 7, column 1
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165 @end group
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166 @end example
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167
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168 @noindent
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169 because the body of the @code{if} statement was never executed, and
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170 @code{retval} was never defined. To prevent obscure errors like this,
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171 it is a good idea to always make sure that the return variables will
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172 always have values, and to produce meaningful error messages when
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173 problems are encountered. For example, @code{avg} could have been
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174 written like this:
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175
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176 @example
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177 @group
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178 function retval = avg (v)
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179 retval = 0;
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180 if (isvector (v))
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181 retval = sum (v) / length (v);
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182 else
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183 error ("avg: expecting vector argument");
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184 endif
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185 endfunction
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186 @end group
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187 @end example
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188
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189 There is still one additional problem with this function. What if it is
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190 called without an argument? Without additional error checking, Octave
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191 will probably print an error message that won't really help you track
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192 down the source of the error. To allow you to catch errors like this,
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193 Octave provides each function with an automatic variable called
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194 @code{nargin}. Each time a function is called, @code{nargin} is
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195 automatically initialized to the number of arguments that have actually
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196 been passed to the function. For example, we might rewrite the
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197 @code{avg} function like this:
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198
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199 @example
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200 @group
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201 function retval = avg (v)
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202 retval = 0;
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203 if (nargin != 1)
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204 usage ("avg (vector)");
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205 endif
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206 if (isvector (v))
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207 retval = sum (v) / length (v);
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208 else
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209 error ("avg: expecting vector argument");
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210 endif
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211 endfunction
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212 @end group
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213 @end example
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214
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215 Although Octave does not automatically report an error if you call a
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216 function with more arguments than expected, doing so probably indicates
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217 that something is wrong. Octave also does not automatically report an
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218 error if a function is called with too few arguments, but any attempt to
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219 use a variable that has not been given a value will result in an error.
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220 To avoid such problems and to provide useful messages, we check for both
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221 possibilities and issue our own error message.
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222
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223 @DOCSTRING(nargin)
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224
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225 @DOCSTRING(silent_functions)
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226
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227 @DOCSTRING(warn_missing_semicolon)
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228
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229 @node Multiple Return Values
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230 @section Multiple Return Values
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231
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232 Unlike many other computer languages, Octave allows you to define
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233 functions that return more than one value. The syntax for defining
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234 functions that return multiple values is
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235
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236 @example
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237 function [@var{ret-list}] = @var{name} (@var{arg-list})
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238 @var{body}
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239 endfunction
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240 @end example
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241
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242 @noindent
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243 where @var{name}, @var{arg-list}, and @var{body} have the same meaning
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244 as before, and @var{ret-list} is a comma-separated list of variable
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245 names that will hold the values returned from the function. The list of
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246 return values must have at least one element. If @var{ret-list} has
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247 only one element, this form of the @code{function} statement is
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248 equivalent to the form described in the previous section.
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249
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250 Here is an example of a function that returns two values, the maximum
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251 element of a vector and the index of its first occurrence in the vector.
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252
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253 @example
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254 @group
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255 function [max, idx] = vmax (v)
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256 idx = 1;
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257 max = v (idx);
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258 for i = 2:length (v)
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259 if (v (i) > max)
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260 max = v (i);
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261 idx = i;
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262 endif
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263 endfor
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264 endfunction
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265 @end group
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266 @end example
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267
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268 In this particular case, the two values could have been returned as
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269 elements of a single array, but that is not always possible or
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270 convenient. The values to be returned may not have compatible
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271 dimensions, and it is often desirable to give the individual return
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272 values distinct names.
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273
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274 In addition to setting @code{nargin} each time a function is called,
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275 Octave also automatically initializes @code{nargout} to the number of
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276 values that are expected to be returned. This allows you to write
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277 functions that behave differently depending on the number of values that
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278 the user of the function has requested. The implicit assignment to the
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279 built-in variable @code{ans} does not figure in the count of output
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280 arguments, so the value of @code{nargout} may be zero.
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281
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282 The @code{svd} and @code{lu} functions are examples of built-in
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283 functions that behave differently depending on the value of
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284 @code{nargout}.
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285
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286 It is possible to write functions that only set some return values. For
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287 example, calling the function
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288
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289 @example
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290 function [x, y, z] = f ()
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291 x = 1;
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292 z = 2;
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293 endfunction
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294 @end example
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295
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296 @noindent
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297 as
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298
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299 @example
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300 [a, b, c] = f ()
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301 @end example
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302
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303 @noindent
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304 produces:
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305
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306 @example
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307 a = 1
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308
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309 b = [](0x0)
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310
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311 c = 2
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312 @end example
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313
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314 @noindent
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315 along with a warning if the value of the built-in variable
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316 @code{warn_undefined_return_values} is nonzero.
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317
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318 @DOCSTRING(nargout)
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319
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320 @DOCSTRING(warn_undefined_return_values)
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321
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322 @DOCSTRING(nargchk)
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323
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324 @node Variable-length Argument Lists
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325 @section Variable-length Argument Lists
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326 @cindex Variable-length argument lists
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327 @cindex @code{...}
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328
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329 @node Variable-length Return Lists
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330 @section Variable-length Return Lists
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331 @cindex Variable-length return lists
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332 @cindex @code{...}
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333
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334 @node Returning From a Function
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335 @section Returning From a Function
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336
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337 The body of a user-defined function can contain a @code{return} statement.
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338 This statement returns control to the rest of the Octave program. It
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339 looks like this:
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340
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341 @example
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342 return
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343 @end example
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344
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345 Unlike the @code{return} statement in C, Octave's @code{return}
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346 statement cannot be used to return a value from a function. Instead,
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347 you must assign values to the list of return variables that are part of
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348 the @code{function} statement. The @code{return} statement simply makes
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349 it easier to exit a function from a deeply nested loop or conditional
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350 statement.
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351
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352 Here is an example of a function that checks to see if any elements of a
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353 vector are nonzero.
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354
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355 @example
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356 @group
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357 function retval = any_nonzero (v)
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358 retval = 0;
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359 for i = 1:length (v)
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360 if (v (i) != 0)
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361 retval = 1;
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362 return;
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363 endif
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364 endfor
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365 printf ("no nonzero elements found\n");
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366 endfunction
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367 @end group
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368 @end example
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369
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370 Note that this function could not have been written using the
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371 @code{break} statement to exit the loop once a nonzero value is found
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372 without adding extra logic to avoid printing the message if the vector
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373 does contain a nonzero element.
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374
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375 @defvr {Keyword} return
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376 When Octave encounters the keyword @code{return} inside a function or
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377 script, it returns control to be caller immediately. At the top level,
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378 the return statement is ignored. A @code{return} statement is assumed
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379 at the end of every function definition.
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380 @end defvr
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381
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382 @DOCSTRING(return_last_computed_value)
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383
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384 @node Function Files
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385 @section Function Files
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386 @cindex function file
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387
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388 Except for simple one-shot programs, it is not practical to have to
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389 define all the functions you need each time you need them. Instead, you
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390 will normally want to save them in a file so that you can easily edit
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391 them, and save them for use at a later time.
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392
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393 Octave does not require you to load function definitions from files
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394 before using them. You simply need to put the function definitions in a
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395 place where Octave can find them.
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396
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397 When Octave encounters an identifier that is undefined, it first looks
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398 for variables or functions that are already compiled and currently
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399 listed in its symbol table. If it fails to find a definition there, it
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400 searches the list of directories specified by the built-in variable
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401 @code{LOADPATH} for files ending in @file{.m} that have the same base
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402 name as the undefined identifier.@footnote{The @samp{.m} suffix was
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403 chosen for compatibility with @sc{Matlab}.} Once Octave finds a file
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404 with a name that matches, the contents of the file are read. If it
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405 defines a @emph{single} function, it is compiled and executed.
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406 @xref{Script Files}, for more information about how you can define more
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407 than one function in a single file.
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408
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409 When Octave defines a function from a function file, it saves the full
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410 name of the file it read and the time stamp on the file. After
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411 that, it checks the time stamp on the file every time it needs the
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412 function. If the time stamp indicates that the file has changed since
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413 the last time it was read, Octave reads it again.
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414
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415 Checking the time stamp allows you to edit the definition of a function
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416 while Octave is running, and automatically use the new function
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417 definition without having to restart your Octave session. Checking the
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418 time stamp every time a function is used is rather inefficient, but it
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419 has to be done to ensure that the correct function definition is used.
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420
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421 To avoid degrading performance unnecessarily by checking the time stamps
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422 on functions that are not likely to change, Octave assumes that function
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423 files in the directory tree
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424 @file{@var{octave-home}/share/octave/@var{version}/m}
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425 will not change, so it doesn't have to check their time stamps every time the
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426 functions defined in those files are used. This is normally a very good
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427 assumption and provides a significant improvement in performance for the
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428 function files that are distributed with Octave.
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429
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430 If you know that your own function files will not change while you are
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431 running Octave, you can improve performance by setting the variable
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432 @code{ignore_function_time_stamp} to @code{"all"}, so that Octave will
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433 ignore the time stamps for all function files. Setting it to
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434 @code{"system"} gives the default behavior. If you set it to anything
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435 else, Octave will check the time stamps on all function files.
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436
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437 @c XXX FIXME XXX -- note about time stamps on files in NFS environments?
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438
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439 @DOCSTRING(DEFAULT_LOADPATH)
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440
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441 @DOCSTRING(LOADPATH)
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442
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443 @DOCSTRING(rehash)
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444
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445 @DOCSTRING(file_in_loadpath)
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446
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447 @DOCSTRING(ignore_function_time_stamp)
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448
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449 @DOCSTRING(warn_function_name_clash)
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450
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451 @DOCSTRING(warn_future_time_stamp)
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452
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453 @node Script Files
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454 @section Script Files
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455
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456 A script file is a file containing (almost) any sequence of Octave
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457 commands. It is read and evaluated just as if you had typed each
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458 command at the Octave prompt, and provides a convenient way to perform a
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459 sequence of commands that do not logically belong inside a function.
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460
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461 Unlike a function file, a script file must @emph{not} begin with the
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462 keyword @code{function}. If it does, Octave will assume that it is a
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463 function file, and that it defines a single function that should be
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464 evaluated as soon as it is defined.
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465
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466 A script file also differs from a function file in that the variables
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467 named in a script file are not local variables, but are in the same
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468 scope as the other variables that are visible on the command line.
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469
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470 Even though a script file may not begin with the @code{function}
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471 keyword, it is possible to define more than one function in a single
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472 script file and load (but not execute) all of them at once. To do
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473 this, the first token in the file (ignoring comments and other white
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474 space) must be something other than @code{function}. If you have no
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475 other statements to evaluate, you can use a statement that has no
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476 effect, like this:
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477
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478 @example
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479 @group
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480 # Prevent Octave from thinking that this
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481 # is a function file:
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482
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483 1;
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484
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485 # Define function one:
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486
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487 function one ()
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488 ...
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489 @end group
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490 @end example
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491
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492 To have Octave read and compile these functions into an internal form,
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493 you need to make sure that the file is in Octave's @code{LOADPATH}, then
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494 simply type the base name of the file that contains the commands.
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495 (Octave uses the same rules to search for script files as it does to
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496 search for function files.)
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497
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498 If the first token in a file (ignoring comments) is @code{function},
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499 Octave will compile the function and try to execute it, printing a
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500 message warning about any non-whitespace characters that appear after
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501 the function definition.
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502
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503 Note that Octave does not try to look up the definition of any identifier
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504 until it needs to evaluate it. This means that Octave will compile the
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505 following statements if they appear in a script file, or are typed at
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506 the command line,
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507
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508 @example
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509 @group
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510 # not a function file:
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511 1;
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512 function foo ()
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513 do_something ();
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514 endfunction
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515 function do_something ()
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516 do_something_else ();
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517 endfunction
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518 @end group
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519 @end example
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520
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521 @noindent
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522 even though the function @code{do_something} is not defined before it is
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523 referenced in the function @code{foo}. This is not an error because
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524 Octave does not need to resolve all symbols that are referenced by a
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525 function until the function is actually evaluated.
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526
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527 Since Octave doesn't look for definitions until they are needed, the
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528 following code will always print @samp{bar = 3} whether it is typed
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529 directly on the command line, read from a script file, or is part of a
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530 function body, even if there is a function or script file called
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531 @file{bar.m} in Octave's @code{LOADPATH}.
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532
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533 @example
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534 @group
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535 eval ("bar = 3");
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536 bar
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537 @end group
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538 @end example
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539
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540 Code like this appearing within a function body could fool Octave if
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541 definitions were resolved as the function was being compiled. It would
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542 be virtually impossible to make Octave clever enough to evaluate this
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543 code in a consistent fashion. The parser would have to be able to
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544 perform the call to @code{eval} at compile time, and that would be
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545 impossible unless all the references in the string to be evaluated could
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546 also be resolved, and requiring that would be too restrictive (the
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547 string might come from user input, or depend on things that are not
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548 known until the function is evaluated).
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549
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550 Although Octave normally executes commands from script files that have
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551 the name @file{@var{file}.m}, you can use the function @code{source} to
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552 execute commands from any file.
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553
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554 @DOCSTRING(source)
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555
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556 @node Dynamically Linked Functions
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557 @section Dynamically Linked Functions
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558 @cindex dynamic linking
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559
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560 On some systems, Octave can dynamically load and execute functions
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561 written in C++. Octave can only directly call functions written in C++,
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562 but you can also load functions written in other languages
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563 by calling them from a simple wrapper function written in C++.
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564
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565 Here is an example of how to write a C++ function that Octave can load,
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566 with commentary. The source for this function is included in the source
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567 distributions of Octave, in the file @file{examples/oregonator.cc}. It
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568 defines the same set of differential equations that are used in the
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569 example problem of @ref{Ordinary Differential Equations}. By running
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570 that example and this one, we can compare the execution times to see
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571 what sort of increase in speed you can expect by using dynamically
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572 linked functions.
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573
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574 The function defined in @file{oregonator.cc} contains just 8 statements,
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575 and is not much different than the code defined in the corresponding
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576 M-file (also distributed with Octave in the file
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577 @file{examples/oregonator.m}).
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578
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579 Here is the complete text of @file{oregonator.cc}:
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580
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581 just
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582
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583 @example
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584 @group
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585 #include <octave/oct.h>
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586
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587 DEFUN_DLD (oregonator, args, ,
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588 "The `oregonator'.")
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589 @{
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590 ColumnVector dx (3);
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591
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592 ColumnVector x (args(0).vector_value ());
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593
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594 dx(0) = 77.27 * (x(1) - x(0)*x(1) + x(0)
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595 - 8.375e-06*pow (x(0), 2));
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596
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597 dx(1) = (x(2) - x(0)*x(1) - x(1)) / 77.27;
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598
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599 dx(2) = 0.161*(x(0) - x(2));
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600
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601 return octave_value (dx);
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602 @}
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603 @end group
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604 @end example
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605
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606 The first line of the file,
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607
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608 @example
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609 #include <octave/oct.h>
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610 @end example
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611
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612 @noindent
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613 includes declarations for all of Octave's internal functions that you
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614 will need. If you need other functions from the standard C++ or C
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615 libraries, you can include the necessary headers here.
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616
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617 The next two lines
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618 @example
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619 @group
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620 DEFUN_DLD (oregonator, args, ,
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621 "The `oregonator'.")
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622 @end group
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623 @end example
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624
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625 @noindent
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626 declares the function. The macro @code{DEFUN_DLD} and the macros that
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627 it depends on are defined in the files @file{defun-dld.h},
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628 @file{defun.h}, and @file{defun-int.h} (these files are included in the
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629 header file @file{octave/oct.h}).
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630
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631 Note that the third parameter to @code{DEFUN_DLD} (@code{nargout}) is
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632 not used, so it is omitted from the list of arguments in order to
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633 avoid the warning from gcc about an unused function parameter.
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634
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635 The next line,
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diff changeset
636
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637 @example
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638 ColumnVector dx (3);
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639 @end example
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640
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641 @noindent
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642 simply declares an object to store the right hand sides of the
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643 differential equation, and the statement
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644
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645 @example
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646 ColumnVector x (args(0).vector_value ());
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647 @end example
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648
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649 @noindent
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650 extracts a vector from the first input argument. The
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651 @code{vector_value} method is used so that the user of the function
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652 can pass either a row or column vector. The @code{ColumnVector}
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diff changeset
653 constructor is needed because the ODE class requires a column
735549d1148e [project @ 2001-01-03 20:26:57 by jwe]
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parents: 3686
diff changeset
654 vector. The variable @code{args} is passed to functions defined with
735549d1148e [project @ 2001-01-03 20:26:57 by jwe]
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parents: 3686
diff changeset
655 @code{DEFUN_DLD} as an @code{octave_value_list} object, which includes
735549d1148e [project @ 2001-01-03 20:26:57 by jwe]
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parents: 3686
diff changeset
656 methods for getting the length of the list and extracting individual
735549d1148e [project @ 2001-01-03 20:26:57 by jwe]
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parents: 3686
diff changeset
657 elements.
3294
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parents:
diff changeset
658
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parents:
diff changeset
659 In this example, we don't check for errors, but that is not difficult.
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parents:
diff changeset
660 All of the Octave's built-in functions do some form of checking on their
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parents:
diff changeset
661 arguments, so you can check the source code for those functions for
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parents:
diff changeset
662 examples of various strategies for verifying that the correct number and
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parents:
diff changeset
663 types of arguments have been supplied.
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parents:
diff changeset
664
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parents:
diff changeset
665 The next statements
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parents:
diff changeset
666
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parents:
diff changeset
667 @example
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parents:
diff changeset
668 @group
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parents:
diff changeset
669 ColumnVector dx (3);
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parents:
diff changeset
670
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parents:
diff changeset
671 dx(0) = 77.27 * (x(1) - x(0)*x(1) + x(0)
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parents:
diff changeset
672 - 8.375e-06*pow (x(0), 2));
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parents:
diff changeset
673
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diff changeset
674 dx(1) = (x(2) - x(0)*x(1) - x(1)) / 77.27;
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parents:
diff changeset
675
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parents:
diff changeset
676 dx(2) = 0.161*(x(0) - x(2));
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parents:
diff changeset
677 @end group
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diff changeset
678 @end example
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parents:
diff changeset
679
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parents:
diff changeset
680 @noindent
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diff changeset
681 define the right hand side of the differential equation. Finally, we
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
682 can return @code{dx}:
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parents:
diff changeset
683
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parents:
diff changeset
684 @example
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parents:
diff changeset
685 return octave_value (dx);
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parents:
diff changeset
686 @end example
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parents:
diff changeset
687
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parents:
diff changeset
688 @noindent
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parents:
diff changeset
689 The actual return type is @code{octave_value_list}, but it is only
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
690 necessary to convert the return type to an @code{octave_value} because
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parents:
diff changeset
691 there is a default constructor that can automatically create an object
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parents:
diff changeset
692 of that type from an @code{octave_value} object, so we can just use that
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parents:
diff changeset
693 instead.
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parents:
diff changeset
694
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
695 To use this file, your version of Octave must support dynamic linking.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
696 To find out if it does, type the command
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parents:
diff changeset
697 @kbd{octave_config_info ("dld")} at the Octave prompt. Support for
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
698 dynamic linking is included if this command returns 1.
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parents:
diff changeset
699
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parents:
diff changeset
700 To compile the example file, type the command @samp{mkoctfile
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
701 oregonator.cc} at the shell prompt. The script @code{mkoctfile} should
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jwe
parents:
diff changeset
702 have been installed along with Octave. Running it will create a file
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jwe
parents:
diff changeset
703 called @file{oregonator.oct} that can be loaded by Octave. To test the
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
704 @file{oregonator.oct} file, start Octave and type the command
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parents:
diff changeset
705
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parents:
diff changeset
706 @example
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parents:
diff changeset
707 oregonator ([1, 2, 3], 0)
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
708 @end example
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parents:
diff changeset
709
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parents:
diff changeset
710 @noindent
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
711 at the Octave prompt. Octave should respond by printing
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
712
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parents:
diff changeset
713 @example
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parents:
diff changeset
714 @group
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parents:
diff changeset
715 ans =
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parents:
diff changeset
716
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parents:
diff changeset
717 77.269353
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parents:
diff changeset
718 -0.012942
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parents:
diff changeset
719 -0.322000
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
720 @end group
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parents:
diff changeset
721 @end example
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parents:
diff changeset
722
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
723 You can now use the @file{oregonator.oct} file just as you would the
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
724 @code{oregonator.m} file to solve the set of differential equations.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
725
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
726 On a 133 MHz Pentium running Linux, Octave can solve the problem shown
3402
9610d364e444 [project @ 2000-01-05 04:36:38 by jwe]
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parents: 3371
diff changeset
727 in @ref{Ordinary Differential Equations}, in about 1.4 seconds using the
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
728 dynamically linked function, compared to about 19 seconds using the
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
729 M-file. Similar decreases in execution time can be expected for other
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
730 functions, particularly those that rely on functions like @code{lsode}
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
731 that require user-supplied functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
732
3428
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
733 Just as for M-files, Octave will automatically reload a dynamically linked
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
734 function when the file that defines it is more recent than the last
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
735 time that the function was loaded. If more than one function is defined
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
736 in a single @file{.oct} file, reloading the file may force other
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
737 functions to be cleared and reloaded. If all the functions loaded from
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
738 a given @file{.oct} file are cleared, Octave will automatically unload
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
739 the @file{.oct} file.
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
740
3371
86873384cd10 [project @ 1999-11-21 17:31:07 by jwe]
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parents: 3294
diff changeset
741 @DOCSTRING(warn_reload_forces_clear)
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
742
3428
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
743 @c XXX FIXME XXX -- is there a better place for this?
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
744
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
745 @DOCSTRING(variables_can_hide_functions)
5b77cf82393c [project @ 2000-01-14 02:54:53 by jwe]
jwe
parents: 3402
diff changeset
746
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
747 Additional examples for writing dynamically linked functions are
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
748 available in the files in the @file{src} directory of the Octave
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
749 distribution. Currently, this includes the files
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
750
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
751 @example
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parents:
diff changeset
752 @group
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
753 balance.cc fft2.cc inv.cc qzval.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
754 chol.cc filter.cc log.cc schur.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
755 colloc.cc find.cc lsode.cc sort.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
756 dassl.cc fsolve.cc lu.cc svd.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
757 det.cc givens.cc minmax.cc syl.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
758 eig.cc hess.cc pinv.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
759 expm.cc ifft.cc qr.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
760 fft.cc ifft2.cc quad.cc
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
761 @end group
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
762 @end example
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
763
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
764 @noindent
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
765 These files use the macro @code{DEFUN_DLD_BUILTIN} instead of
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
766 @code{DEFUN_DLD}. The difference between these two macros is just that
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
767 @code{DEFUN_DLD_BUILTIN} can define a built-in function that is not
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
768 dynamically loaded if the operating system does not support dynamic
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
769 linking. To define your own dynamically linked functions you should use
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
770 @code{DEFUN_DLD}.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
771
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
772 There is currently no detailed description of all the functions that you
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
773 can call in a built-in function. For the time being, you will have to
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
774 read the source code for Octave.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
775
4167
aae05d51353c [project @ 2002-11-12 02:52:50 by jwe]
jwe
parents: 4029
diff changeset
776 @node Organization of Functions
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
777 @section Organization of Functions Distributed with Octave
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
778
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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parents:
diff changeset
779 Many of Octave's standard functions are distributed as function files.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
780 They are loosely organized by topic, in subdirectories of
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
781 @file{@var{octave-home}/lib/octave/@var{version}/m}, to make it easier
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
782 to find them.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
783
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
784 The following is a list of all the function file subdirectories, and the
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
785 types of functions you will find there.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
786
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
787 @table @file
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
788 @item audio
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
789 Functions for playing and recording sounds.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
790
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
791 @item control
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
792 Functions for design and simulation of automatic control systems.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
793
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
794 @item elfun
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
795 Elementary functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
796
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
797 @item general
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
798 Miscellaneous matrix manipulations, like @code{flipud}, @code{rot90},
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
799 and @code{triu}, as well as other basic functions, like
4029
2cc57b6169cf [project @ 2002-08-09 07:36:15 by jwe]
jwe
parents: 3760
diff changeset
800 @code{ismatrix}, @code{nargchk}, etc.
3294
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
801
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
802 @item image
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
803 Image processing tools. These functions require the X Window System.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
804
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
805 @item io
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
806 Input-ouput functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
807
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
808 @item linear-algebra
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
809 Functions for linear algebra.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
810
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
811 @item miscellaneous
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
812 Functions that don't really belong anywhere else.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
parents:
diff changeset
813
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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814 @item plot
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815 A set of functions that implement the @sc{Matlab}-like plotting functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
jwe
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816
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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817 @item polynomial
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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818 Functions for manipulating polynomials.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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819
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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820 @item set
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821 Functions for creating and manipulating sets of unique values.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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822
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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823 @item signal
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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824 Functions for signal processing applications.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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825
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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826 @item specfun
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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827 Special functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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828
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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829 @item special-matrix
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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830 Functions that create special matrix forms.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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831
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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832 @item startup
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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833 Octave's system-wide startup file.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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834
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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835 @item statistics
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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836 Statistical functions.
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837
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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838 @item strings
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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839 Miscellaneous string-handling functions.
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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840
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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841 @item time
bfe1573bd2ae [project @ 1999-10-19 10:06:07 by jwe]
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842 Functions related to time keeping.
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843 @end table