<html> <head> <title>Gri: RPN column manipulation</title> </head> <body bgcolor="#FFFFFF" text="#000000" link="#0000EE" vlink="#551A8B" alink="FF0000"> <!-- newfile ManipulatingColumns.html "Gri: RPN column manipulation" "Programming Gri" --> <!-- @node Manipulation of Columns etc, rpn Examples, Solitary Operators, rpn Mathematics --> <a name="ManipulationofColumnsetc" ></a> <img src="./resources/top_banner.gif" usemap="#navigate_top" border="0"> <table summary="top banner" border="0" cellspacing="0" cellpadding="0"> <tr> <td width="150" valign="top"> <font size=-1> <br> Chapters: </br> <a href="Introduction.html">1: Introduction</a><br> <a href="SimpleExample.html">2: Simple example</a><br> <a href="InvokingGri.html">3: Invocation</a><br> <a href="GettingMoreControl.html">4: Finer Control</a><br> <a href="X-Y.html">5: X-Y Plots</a><br> <a href="ContourPlots.html">6: Contour Plots</a><br> <a href="Images.html">7: Image Plots</a><br> <a href="Examples.html">8: Examples</a><br> <a href="Commands.html">9: Gri Commands</a><br> <a href="Programming.html">10: Programming</a><br> <a href="Environment.html">11: Environment</a><br> <a href="Emacs.html">12: Emacs Mode</a><br> <a href="History.html">13: History</a><br> <a href="Installation.html">14: Installation</a><br> <a href="Bugs.html">15: Gri Bugs</a><br> <a href="TestSuite.html">16: Test Suite</a><br> <a href="Acknowledgments.html">17: Acknowledgments</a><br> <a href="License.html">18: License</a><br> <br> Indices:</br> <a href="ConceptIndex.html"><i>Concepts</i></a><br> <a href="CommandIndex.html"><i>Commands</i></a><br> <a href="BuiltinIndex.html"><i>Variables</i></a><br> </font> <td width="500" valign="top"> <map name="navigate_top"> <area alt="index.html#Top" shape="rect" coords="5,2,218,24" href="index.html#Top"> <area alt="ReversePolishMath.html#rpnMathematics" shape="rect" coords="516,2,532,24" href="ReversePolishMath.html#rpnMathematics"> <area alt="Gri: RPN solitary operators" shape="rect" coords="557,2,573,24" href="SolitaryOperators.html"> <area alt="Gri: RPN examples" shape="rect" coords="581,2,599,24" href="RPNexamples.html"> </map> <map name="navigate_bottom"> <area alt="index.html#Top" shape="rect" coords="5,2,218,24" href="index.html#Top"> <area alt="Gri: RPN examples" shape="rect" coords="581,2,599,24" href="RPNexamples.html"></map> <h3>10.9.7: Manipulation of Columns etc</h3> <h4>10.9.7.1: Columns</h4> <!-- latex: \index{@code{..num_col_data..}, number column data} --> Individual data in the `<font color="#82140F"><code>x</code></font>', `<font color="#82140F"><code>y</code></font>', `<font color="#82140F"><code>z</code></font>', `<font color="#82140F"><code>u</code></font>', `<font color="#82140F"><code>v</code></font>' and `<font color="#82140F"><code>weight</code></font>' columns can be accessed with the `<font color="#82140F"><code>@</code></font>' operator. The first point has index 0. Examples: <p> <TABLE SUMMARY="Example" BORDER="0" BGCOLOR="#efefef" WIDTH="100%"> <TR> <TD> <PRE> <font color="#82140F"> show "first x is " {rpn x 0 @ } show "last x is " {rpn x ..num_col_data.. 1 - @ } show "and here are all the data:" .i. = 0 while {rpn .i. ..num_col_data.. >} show {rpn x .i. @ } .i. += 1 end while </font></PRE> </TD> </TR> </TABLE> <p> The mean value is available from the `<font color="#82140F"><code>mean</code></font>' operator (e.g., `<font color="#82140F"><code>.xmean. = {rpn x mean }</code></font>', while the standard deviation is given by `<font color="#82140F"><code>stddev</code></font>' and the minimal and maximal values are given by `<font color="#82140F"><code>min</code></font>' and `<font color="#82140F"><code>max</code></font>'. <p> The area under the curve y=y(x) is found by `<font color="#82140F"><code>{rpn y x area }</code></font>', defined by `<font color="#82140F"><code>0.5 * sum ( (y[i] + y[i-1]) * (x[i] - x[i-1]) )</code></font>' for `<font color="#82140F"><code>i</code></font>' ranging from 1 to `<font color="#82140F"><code>..num_col_data..</code></font>'-1. <p> <h4>10.9.7.2: Grid</h4> Grid data can be accessed with e.g. `<font color="#82140F"><code>{rpn grid min } </code></font>', `<font color="#82140F"><code>{rpn grid max } </code></font>', and `<font color="#82140F"><code>{rpn grid mean } </code></font>'. <p> The value of the grid at a given `<font color="#82140F"><code>(.x.,.y.)</code></font>' coordinate may be found by by e.g. `<font color="#82140F"><code>{rpn grid .x. .y. interpolate}</code></font>'. The interpolation scheme is the same as that used in converting grids to images. <p> </table> <img src="./resources/bottom_banner.gif" usemap="#navigate_bottom" border="0"> </body> </html>