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| 3 | <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> |
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| 5 | <title>cmapply.pro (SAXO Documentation Assistant)</title> |
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| 44 | |
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| 45 | <table border="0" cellpadding="0" cellspacing="0" width="98%" bgcolor="#F0F0FF" valign="bottom"> |
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| 46 | <tr> |
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| 47 | <td width="10%"> |
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| 48 | <a href=""><img src="./../prev.gif" border="0" alt="Previous"></a></td> |
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| 49 | <td width="80%" align="center" valign="center"> |
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| 50 | <font size=-1><i>SAXO Documentation Assistant</i>: <a href="./../home.html">Overview</a></font></td> |
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| 51 | <td width="10%" align="right"> |
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| 52 | <a href="cmset_op.html"><img src="./../next.gif" border="0" alt="Next"></a></td> |
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| 53 | </tr> |
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| 54 | </table> |
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| 55 | |
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| 56 | |
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| 57 | <h1><font size="-2">Matrix/</font></h1> |
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| 58 | <h2>cmapply.pro</h2> |
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| 59 | |
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| 60 | <dl> |
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| 61 | </dl> |
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| 62 | |
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| 63 | |
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| 64 | Utility function, adapted from CMPRODUCT |
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| 65 | |
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| 66 | |
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| 67 | cmapply_redim : Utility function, used to collect collaped dimensions |
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| 68 | |
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| 69 | |
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| 70 | Applies a function to specified dimensions of an array |
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| 71 | |
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| 72 | Description: |
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| 73 | |
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| 74 | CMAPPLY will apply one of a few select functions to specified |
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| 75 | dimensions of an array. Unlike some IDL functions, you *do* have |
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| 76 | a choice of which dimensions that are to be "collapsed" by this |
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| 77 | function. Iterative loops are avoided where possible, for |
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| 78 | performance reasons. |
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| 79 | |
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| 80 | The possible functions are: (and number of loop iterations:) |
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| 81 | + - Performs a sum (as in TOTAL) number of collapsed dimensions |
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| 82 | AND - Finds LOGICAL "AND" (not bitwise) same |
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| 83 | OR - Finds LOGICAL "OR" (not bitwise) same |
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| 84 | * - Performs a product LOG_2[no. of collapsed elts.] |
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| 85 | |
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| 86 | MIN - Finds the minimum value smaller of no. of collapsed |
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| 87 | MAX - Finds the maximum value or output elements |
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| 88 | |
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| 89 | USER - Applies user-defined function no. of output elements |
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| 90 | |
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| 91 | |
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| 92 | It is possible to perform user-defined operations arrays using |
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| 93 | CMAPPLY. The OP parameter is set to 'USER:FUNCTNAME', where |
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| 94 | FUNCTNAME is the name of a user-defined function. The user |
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| 95 | defined function should be defined such that it accepts a single |
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| 96 | parameter, a vector, and returns a single scalar value. Here is a |
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| 97 | prototype for the function definition: |
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| 98 | |
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| 99 | FUNCTION FUNCTNAME, x, KEYWORD1=key1, ... |
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| 100 | scalar = ... function of x or keywords ... |
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| 101 | RETURN, scalar |
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| 102 | END |
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| 103 | |
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| 104 | The function may accept keywords. Keyword values are passed in to |
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| 105 | CMAPPLY through the FUNCTARGS keywords parameter, and passed to |
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| 106 | the user function via the _EXTRA mechanism. Thus, while the |
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| 107 | definition of the user function is highly constrained in the |
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| 108 | number of positional parameters, there is absolute freedom in |
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| 109 | passing keyword parameters. |
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| 110 | |
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| 111 | It's worth noting however, that the implementation of user-defined |
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| 112 | functions is not particularly optimized for speed. Users are |
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| 113 | encouraged to implement their own array if the number of output |
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| 114 | elements is large. |
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| 115 | |
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| 116 | |
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| 117 | |
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| 118 | <h2>Routine summary</h2> |
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| 119 | |
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| 120 | <dl> |
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| 121 | |
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| 122 | <dt><a href="#_cmapply_product"><i>result = </i>cmapply_product(<i>x</i>)</a><dt> |
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| 123 | <dd><font size="-1"> </font></dd> |
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| 124 | |
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| 125 | <dt><a href="#_cmapply_redim">cmapply_redim<i>, newarr, dimapply, dimkeep, nkeep, totcol, totkeep</i></a><dt> |
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| 126 | <dd><font size="-1"></font></dd> |
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| 127 | |
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| 128 | <dt><a href="#_cmapply"><i>result = </i>cmapply(<i>op, array[, dimapply]</i>, double=<i>double</i>, type=<i>type</i>, functargs=<i>functargs</i>, nocatch=<i>nocatch</i>)</a><dt> |
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| 129 | <dd><font size="-1"> </font></dd> |
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| 130 | |
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| 131 | </dl> |
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| 132 | |
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| 133 | <p> </p> |
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| 134 | |
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| 135 | |
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| 136 | |
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| 137 | <a name="#_cmapply_product"></a> |
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| 138 | |
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| 139 | <h2>cmapply_product </h2> |
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| 140 | |
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| 141 | <p><font face="Courier"><i>result = </i>cmapply_product(<i><a href="#_cmapply_product_keyword_x">x</a></i>)</font></p> |
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| 142 | |
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| 143 | |
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| 144 | |
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| 145 | |
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| 146 | |
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| 147 | |
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| 148 | |
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| 149 | <h3>Parameters</h3> |
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| 150 | |
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| 151 | |
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| 152 | <a name="#_cmapply_product_keyword_x"></a> |
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| 153 | <h4>x |
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| 154 | |
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| 155 | |
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| 156 | |
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| 157 | |
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| 158 | |
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| 159 | |
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| 160 | |
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| 161 | |
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| 162 | </h4> |
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| 163 | |
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| 164 | |
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| 165 | |
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| 166 | |
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| 167 | |
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| 168 | |
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| 169 | |
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| 170 | |
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| 171 | |
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| 172 | |
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| 173 | </pre><h3>Version history</h3> |
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| 174 | |
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| 175 | <h4>Version</h4> $Id: cmapply.pro 232 2007-03-20 16:59:36Z pinsard $ |
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| 176 | |
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| 177 | |
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| 178 | |
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| 179 | |
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| 180 | <h3>Known issues</h3> |
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| 181 | |
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| 182 | |
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| 183 | <h4>Todo items</h4> seb |
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| 184 | |
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| 185 | |
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| 186 | |
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| 187 | |
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| 188 | |
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| 189 | |
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| 190 | |
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| 191 | |
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| 192 | |
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| 193 | |
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| 194 | <font size="-3"><p> </p></font> |
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| 195 | <hr size="1" color="#CCCCCC"/> |
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| 196 | |
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| 197 | <a name="#_cmapply_redim"></a> |
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| 198 | |
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| 199 | <h2>cmapply_redim </h2> |
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| 200 | |
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| 201 | <p><font face="Courier">cmapply_redim<i>, <a href="#_cmapply_redim_keyword_newarr">newarr</a>, <a href="#_cmapply_redim_keyword_dimapply">dimapply</a>, <a href="#_cmapply_redim_keyword_dimkeep">dimkeep</a>, <a href="#_cmapply_redim_keyword_nkeep">nkeep</a>, <a href="#_cmapply_redim_keyword_totcol">totcol</a>, <a href="#_cmapply_redim_keyword_totkeep">totkeep</a></i></font></p> |
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| 202 | |
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| 203 | |
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| 204 | |
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| 205 | |
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| 206 | |
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| 207 | |
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| 208 | <h3>Parameters</h3> |
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| 209 | |
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| 210 | |
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| 211 | <a name="#_cmapply_redim_keyword_newarr"></a> |
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| 212 | <h4>newarr |
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| 213 | |
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| 214 | |
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| 215 | |
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| 216 | |
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| 217 | |
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| 218 | |
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| 219 | |
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| 220 | |
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| 221 | </h4> |
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| 222 | |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | |
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| 227 | |
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| 228 | <a name="#_cmapply_redim_keyword_dimapply"></a> |
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| 229 | <h4>dimapply |
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| 230 | |
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| 231 | |
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| 232 | |
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| 233 | |
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| 234 | |
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| 235 | |
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| 236 | |
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| 237 | |
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| 238 | </h4> |
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| 239 | |
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| 240 | |
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| 241 | |
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| 242 | |
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| 243 | |
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| 244 | |
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| 245 | <a name="#_cmapply_redim_keyword_dimkeep"></a> |
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| 246 | <h4>dimkeep |
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| 247 | |
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| 248 | |
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| 249 | |
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| 250 | |
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| 251 | |
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| 252 | |
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| 253 | |
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| 254 | |
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| 255 | </h4> |
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| 256 | |
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| 257 | |
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| 258 | |
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| 259 | |
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| 260 | |
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| 261 | |
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| 262 | <a name="#_cmapply_redim_keyword_nkeep"></a> |
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| 263 | <h4>nkeep |
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| 264 | |
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| 265 | |
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| 266 | |
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| 267 | |
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| 268 | |
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| 269 | |
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| 270 | |
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| 271 | |
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| 272 | </h4> |
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| 273 | |
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| 274 | |
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| 275 | |
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| 276 | |
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| 277 | |
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| 278 | |
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| 279 | <a name="#_cmapply_redim_keyword_totcol"></a> |
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| 280 | <h4>totcol |
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| 281 | |
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| 282 | |
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| 283 | |
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| 284 | |
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| 285 | |
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| 286 | |
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| 287 | |
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| 288 | |
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| 289 | </h4> |
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| 290 | |
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| 291 | |
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| 292 | |
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| 293 | |
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| 294 | |
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| 295 | |
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| 296 | <a name="#_cmapply_redim_keyword_totkeep"></a> |
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| 297 | <h4>totkeep |
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| 298 | |
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| 299 | |
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| 300 | |
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| 301 | |
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| 302 | |
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| 303 | |
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| 304 | |
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| 305 | |
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| 306 | </h4> |
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| 307 | |
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| 308 | |
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| 309 | |
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| 310 | |
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| 311 | |
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| 312 | |
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| 313 | |
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| 314 | |
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| 315 | |
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| 316 | |
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| 317 | |
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| 318 | |
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| 319 | |
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| 320 | |
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| 321 | |
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| 322 | |
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| 323 | <h3>Known issues</h3> |
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| 324 | |
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| 325 | |
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| 326 | <h4>Todo items</h4> seb |
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| 327 | |
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| 328 | |
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| 329 | |
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| 330 | |
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| 331 | |
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| 332 | |
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| 333 | |
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| 334 | |
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| 335 | |
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| 336 | |
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| 337 | <font size="-3"><p> </p></font> |
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| 338 | <hr size="1" color="#CCCCCC"/> |
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| 339 | |
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| 340 | <a name="#_cmapply"></a> |
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| 341 | |
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| 342 | <h2>cmapply <font size="-1" color="#006633"> |
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| 343 | Array |
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| 344 | </font></h2> |
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| 345 | |
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| 346 | <p><font face="Courier"><i>result = </i>cmapply(<i><a href="#_cmapply_keyword_op">op</a>, <a href="#_cmapply_keyword_array">array</a>[, <a href="#_cmapply_keyword_dimapply">dimapply</a>]</i>, <a href="#_cmapply_keyword_double">double</a>=<i>double</i>, <a href="#_cmapply_keyword_type">type</a>=<i>type</i>, <a href="#_cmapply_keyword_functargs">functargs</a>=<i>functargs</i>, <a href="#_cmapply_keyword_nocatch">nocatch</a>=<i>nocatch</i>)</font></p> |
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| 347 | |
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| 348 | |
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| 349 | |
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| 350 | |
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| 351 | <h3>Return value</h3> |
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| 352 | An array of the required TYPE, whose elements are the result of |
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| 353 | the requested operation. Depending on the operation and number of |
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| 354 | elements in the input array, the result may be vulnerable to |
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| 355 | overflow or underflow. |
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| 356 | |
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| 357 | |
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| 358 | |
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| 359 | <h3>Parameters</h3> |
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| 360 | |
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| 361 | |
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| 362 | <a name="#_cmapply_keyword_op"></a> |
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| 363 | <h4>op |
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| 364 | <font size="-1" color="#006633">in</font> |
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| 365 | |
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| 366 | |
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| 367 | <font size="-1" color="#006633">required</font> |
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| 368 | |
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| 369 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>string</i></font> |
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| 370 | |
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| 371 | |
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| 372 | </h4> |
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| 373 | |
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| 374 | |
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| 375 | The operation to perform, as a string. May be upper or lower case. |
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| 376 | |
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| 377 | If a user-defined operation is to be passed, then OP is of |
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| 378 | the form, 'USER:FUNCTNAME', where FUNCTNAME is the name of |
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| 379 | the user-defined function. |
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| 380 | |
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| 381 | |
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| 382 | |
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| 383 | <a name="#_cmapply_keyword_array"></a> |
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| 384 | <h4>array |
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| 385 | <font size="-1" color="#006633">in</font> |
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| 386 | |
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| 387 | |
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| 388 | <font size="-1" color="#006633">required</font> |
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| 389 | |
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| 390 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>array</i></font> |
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| 391 | |
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| 392 | |
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| 393 | </h4> |
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| 394 | |
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| 395 | |
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| 396 | An array of values to be operated on. |
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| 397 | Must not be of type STRING (7) or STRUCTURE (8). |
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| 398 | |
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| 399 | |
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| 400 | |
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| 401 | <a name="#_cmapply_keyword_dimapply"></a> |
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| 402 | <h4>dimapply |
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| 403 | <font size="-1" color="#006633">in</font> |
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| 404 | |
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| 405 | <font size="-1" color="#006633">optional</font> |
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| 406 | |
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| 407 | |
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| 408 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>array</i></font> |
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| 409 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>1 (ie, first dimension)</i></font> |
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| 410 | |
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| 411 | </h4> |
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| 412 | |
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| 413 | |
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| 414 | An array of dimensions that are to be "collapsed", where |
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| 415 | the the first dimension starts with 1 (ie, same convention |
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| 416 | as IDL function TOTAL). Whereas TOTAL only allows one |
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| 417 | dimension to be added, you can specify multiple dimensions |
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| 418 | to CMAPPLY. Order does not matter, since all operations |
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| 419 | are associative and transitive. NOTE: the dimensions refer |
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| 420 | to the *input* array, not the output array. IDL allows a |
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| 421 | maximum of 8 dimensions. |
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| 422 | |
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| 423 | |
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| 424 | |
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| 425 | |
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| 426 | |
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| 427 | <h3>Keywords</h3> |
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| 428 | |
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| 429 | |
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| 430 | <a name="#_cmapply_keyword_double"></a> |
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| 431 | <h4>double |
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| 432 | |
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| 433 | |
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| 434 | |
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| 435 | |
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| 436 | |
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| 437 | |
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| 438 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>not set</i></font> |
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| 439 | |
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| 440 | </h4> |
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| 441 | |
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| 442 | |
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| 443 | Set this if you wish the internal computations to be done |
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| 444 | in double precision if necessary. If ARRAY is double |
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| 445 | precision (real or complex) then DOUBLE=1 is implied. |
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| 446 | |
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| 447 | |
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| 448 | <a name="#_cmapply_keyword_type"></a> |
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| 449 | <h4>type |
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| 450 | |
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| 451 | |
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| 452 | |
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| 453 | |
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| 454 | |
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| 455 | |
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| 456 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>same as input type</i></font> |
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| 457 | |
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| 458 | </h4> |
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| 459 | |
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| 460 | |
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| 461 | Set this to the IDL code of the desired output type (refer |
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| 462 | to documentation of SIZE()). Internal results will be |
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| 463 | rounded to the nearest integer if the output type is an |
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| 464 | integer type. |
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| 465 | |
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| 466 | |
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| 467 | <a name="#_cmapply_keyword_functargs"></a> |
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| 468 | <h4>functargs |
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| 469 | |
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| 470 | |
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| 471 | |
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| 472 | |
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| 473 | |
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| 474 | |
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| 475 | |
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| 476 | |
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| 477 | </h4> |
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| 478 | |
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| 479 | |
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| 480 | If OP is 'USER:...', then the contents of this keyword |
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| 481 | are passed to the user function using the _EXTRA |
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| 482 | mechanism. This way you can pass additional data to |
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| 483 | your user-supplied function, via keywords, without |
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| 484 | using common blocks. |
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| 485 | DEFAULT: undefined (i.e., no keywords passed by _EXTRA) |
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| 486 | |
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| 487 | |
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| 488 | <a name="#_cmapply_keyword_nocatch"></a> |
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| 489 | <h4>nocatch |
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| 490 | |
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| 491 | |
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| 492 | |
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| 493 | |
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| 494 | |
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| 495 | |
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| 496 | |
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| 497 | |
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| 498 | </h4> |
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| 499 | |
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| 500 | |
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| 501 | |
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| 502 | |
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| 503 | |
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| 504 | <h3>Examples</h3><pre> |
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| 505 | |
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| 506 | First example: Shows how CMAPPLY can be used to total the second dimension of the |
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| 507 | array called IN. This is equivalent to OUT = TOTAL(IN, 2) |
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| 508 | |
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| 509 | IDL> IN = INDGEN(5,5) |
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| 510 | IDL> OUT = CMAPPLY('+', IN, [2]) |
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| 511 | IDL> HELP, OUT |
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| 512 | OUT INT = Array[5] |
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| 513 | |
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| 514 | Second example: Input is assumed to be an 5x100 array of 1's and |
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| 515 | 0's indicating the status of 5 detectors at 100 points in time. |
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| 516 | The desired output is an array of 100 values, indicating whether |
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| 517 | all 5 detectors are on (=1) at one time. Use the logical AND |
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| 518 | operation. |
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| 519 | |
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| 520 | IDL> IN = detector_status ; 5x100 array |
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| 521 | IDL> OUT = CMAPPLY('AND', IN, [1]) ; collapses 1st dimension |
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| 522 | IDL> HELP, OUT |
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| 523 | OUT BYTE = Array[100] |
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| 524 | |
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| 525 | (note that MIN could also have been used in this particular case, |
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| 526 | although there would have been more loop iterations). |
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| 527 | |
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| 528 | Third example: Shows sum over first and third dimensions in an |
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| 529 | array with dimensions 4x4x4: |
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| 530 | |
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| 531 | IDL> IN = INDGEN(4,4,4) |
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| 532 | IDL> OUT = CMAPPLY('+', IN, [1,3]) |
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| 533 | IDL> PRINT, OUT |
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| 534 | 408 472 536 600 |
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| 535 | |
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| 536 | Fourth example: A user-function (MEDIAN) is used: |
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| 537 | |
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| 538 | IDL> IN = RANDOMN(SEED,10,10,5) |
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| 539 | IDL> OUT = CMAPPLY('USER:MEDIAN', IN, 3) |
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| 540 | IDL> HELP, OUT |
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| 541 | OUT FLOAT = Array[10, 10] |
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| 542 | |
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| 543 | (OUT[i,j] is the median value of IN[i,j,*]) |
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| 544 | |
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| 545 | </pre><h3>Version history</h3> |
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| 546 | |
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| 547 | <h4>Version</h4> |
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| 548 | $Id: cmapply.pro 232 2007-03-20 16:59:36Z pinsard $ |
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| 549 | |
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| 550 | <h4>History</h4> |
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| 551 | Mar 1998, Written, CM |
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| 552 | Changed usage message to not bomb, 24 Mar 2000, CM |
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| 553 | Significant rewrite for *, MIN and MAX (inspired by Todd Clements |
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| 554 | <Todd_Clements@alumni.hmc.edu>); FOR loop indices are now type |
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| 555 | LONG; copying terms are liberalized, CM, 22, Aug 2000 |
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| 556 | More efficient MAX/MIN (inspired by Alex Schuster), CM, 25 Jan |
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| 557 | 2002 |
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| 558 | Make new MAX/MIN actually work with 3d arrays, CM, 08 Feb 2002 |
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| 559 | Add user-defined functions, ON_ERROR, CM, 09 Feb 2002 |
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| 560 | Correct bug in MAX/MIN initialization of RESULT, CM, 05 Dec 2002 |
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| 561 | |
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| 562 | Author: Craig B. Markwardt, NASA/GSFC Code 662, Greenbelt, MD 20770 |
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| 563 | craigm@lheamail.gsfc.nasa.gov |
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| 580 | |
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| 581 | <font size="-3"><p> </p></font> |
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| 582 | <hr size="1" color="#CCCCCC"/> |
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| 583 | |
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| 586 | |
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| 587 | <p><font color="gray" size="-3"> Produced by IDLdoc 2.0.</font></p> |
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| 588 | |
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| 589 | </body> |
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| 590 | </html> |
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