annotate doc/interpreter/eval.txi @ 11997:5530fe42c83b release-3-2-x

update coding tips
author Jaroslav Hajek <highegg@gmail.com>
date Thu, 18 Jun 2009 07:09:17 +0200
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1 @c Copyright (C) 1996, 1997, 2007, 2008, 2009 John W. Eaton
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2 @c
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3 @c This file is part of Octave.
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4 @c
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5 @c Octave is free software; you can redistribute it and/or modify it
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6 @c under the terms of the GNU General Public License as published by the
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7 @c Free Software Foundation; either version 3 of the License, or (at
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8 @c your option) any later version.
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9 @c
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10 @c Octave is distributed in the hope that it will be useful, but WITHOUT
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11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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13 @c for more details.
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14 @c
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15 @c You should have received a copy of the GNU General Public License
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16 @c along with Octave; see the file COPYING. If not, see
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17 @c <http://www.gnu.org/licenses/>.
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18
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19 @node Evaluation
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20 @chapter Evaluation
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21
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22 Normally, you evaluate expressions simply by typing them at the Octave
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23 prompt, or by asking Octave to interpret commands that you have saved in
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24 a file.
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25
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26 Sometimes, you may find it necessary to evaluate an expression that has
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27 been computed and stored in a string, which is exactly what the
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28 @code{eval} function lets you do.
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29
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30 @DOCSTRING(eval)
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31
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32 @menu
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33 * Calling a Function by its Name::
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34 * Evaluation in a Different Context::
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35 @end menu
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36
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37 @node Calling a Function by its Name
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38 @section Calling a Function by its Name
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39
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40 The @code{feval} function allows you to call a function from a string
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41 containing its name. This is useful when writing a function that needs to
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42 call user-supplied functions. The @code{feval} function takes the name
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43 of the function to call as its first argument, and the remaining
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44 arguments are given to the function.
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45
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46 The following example is a simple-minded function using @code{feval}
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47 that finds the root of a user-supplied function of one variable using
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48 Newton's method.
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49
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50 @example
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51 @cindex Fordyce, A. P.
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52 @findex newtroot
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53 function result = newtroot (fname, x)
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54
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55 # usage: newtroot (fname, x)
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56 #
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57 # fname : a string naming a function f(x).
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58 # x : initial guess
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59
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60 delta = tol = sqrt (eps);
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61 maxit = 200;
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62 fx = feval (fname, x);
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63 for i = 1:maxit
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64 if (abs (fx) < tol)
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65 result = x;
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66 return;
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67 else
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68 fx_new = feval (fname, x + delta);
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69 deriv = (fx_new - fx) / delta;
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70 x = x - fx / deriv;
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71 fx = fx_new;
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72 endif
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73 endfor
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74
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75 result = x;
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76
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77 endfunction
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78 @end example
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79
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80 Note that this is only meant to be an example of calling user-supplied
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81 functions and should not be taken too seriously. In addition to using a
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82 more robust algorithm, any serious code would check the number and type
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83 of all the arguments, ensure that the supplied function really was a
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84 function, etc. @xref{Predicates for Numeric Objects}, for example,
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85 for a list of predicates for numeric objects, and see @ref{Status of
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86 Variables}, for a description of the @code{exist} function.
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87
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88 @DOCSTRING(feval)
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89
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90 A similar function @code{run} exists for calling user script files, that
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91 are not necessarily on the user path
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92
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93 @DOCSTRING(run)
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94
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95 @node Evaluation in a Different Context
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96 @section Evaluation in a Different Context
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97
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98 Before you evaluate an expression you need to substitute
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99 the values of the variables used in the expression. These
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100 are stored in the symbol table. Whenever the interpreter
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101 starts a new function it saves the current symbol table
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102 and creates a new one, initializing it with the list of
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103 function parameters and a couple of predefined variables
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104 such as @code{nargin}. Expressions inside the function use the
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105 new symbol table.
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106
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107 Sometimes you want to write a function so that when you
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108 call it, it modifies variables in your own context. This
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109 allows you to use a pass-by-name style of function,
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110 which is similar to using a pointer in programming languages such
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111 as C.
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112
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113 Consider how you might write @code{save} and @code{load} as
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114 m-files. For example,
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115
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116 @example
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117 @group
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118 function create_data
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119 x = linspace (0, 10, 10);
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120 y = sin (x);
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121 save mydata x y
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122 endfunction
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123 @end group
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124 @end example
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125
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126 With @code{evalin}, you could write @code{save} as follows:
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127
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128 @example
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129 @group
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130 function save (file, name1, name2)
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131 f = open_save_file (file);
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132 save_var(f, name1, evalin ("caller", name1));
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133 save_var(f, name2, evalin ("caller", name2));
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134 endfunction
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135 @end group
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136 @end example
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137
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138 @noindent
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139 Here, @samp{caller} is the @code{create_data} function and @code{name1}
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140 is the string @code{"x"}, which evaluates simply as the value of @code{x}.
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141
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142 You later want to load the values back from @code{mydata}
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143 in a different context:
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144
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145 @example
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146 @group
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147 function process_data
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148 load mydata
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149 @dots{} do work @dots{}
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150 endfunction
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151 @end group
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152 @end example
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153
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154 @noindent
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155 With @code{assignin}, you could write @code{load} as follows:
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156
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157 @example
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158 @group
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159 function load (file)
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160 f = open_load_file (file);
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161 [name, val] = load_var (f);
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162 assignin ("caller", name, val);
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163 [name, val] = load_var (f);
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164 assignin ("caller", name, val);
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165 endfunction
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166 @end group
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167 @end example
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168
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169 @noindent
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170 Here, @samp{caller} is the @code{process_data} function.
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171
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172 You can set and use variables at the command prompt
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173 using the context @samp{base} rather than @samp{caller}.
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174
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175 These functions are rarely used in practice. One
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176 example is the @code{fail (@samp{code}, @samp{pattern})} function
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177 which evaluates @samp{code} in the caller's context and
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178 checks that the error message it produces matches
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179 the given pattern. Other examples such as @code{save} and @code{load}
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180 are written in C++ where all Octave variables
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181 are in the @samp{caller} context and @code{evalin} is not needed.
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182
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183 @DOCSTRING(evalin)
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184
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185 @DOCSTRING(assignin)