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Chapters:
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&nbsp;&nbsp;<a href="Introduction.html">1: Introduction</a><br>
&nbsp;&nbsp;<a href="SimpleExample.html">2: Simple example</a><br>
&nbsp;&nbsp;<a href="InvokingGri.html">3: Invocation</a><br>
&nbsp;&nbsp;<a href="GettingMoreControl.html">4: Finer Control</a><br>
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&nbsp;&nbsp;<a href="License.html">19: License</a><br>
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Indices:<br>
&nbsp;&nbsp;<a href="ConceptIndex.html"><i>Concepts</i></a><br>
&nbsp;&nbsp;<a href="CommandIndex.html"><i>Commands</i></a><br>
&nbsp;&nbsp;<a href="BuiltinIndex.html"><i>Variables</i></a><br>
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<h2>10.9: Rpn (reverse-polish notation) Calculator</h2>

Gri can do simple mathematics on numbers.  The syntax is reverse-polish
notation (`<font color="#82140F"><code>rpn</code></font>'), which is used in some calculators.  Most users
can learn rpn in a few minutes, so don't worry if you don't know RPN
yet.
<p>
<b>Syntax</b>: rpn expressions can be used anywhere Gri expects a number.
RPN expressions start with a opening curly brace (`<font color="#82140F"><code>{</code></font>') which is
immediately followed by the word `<font color="#82140F"><code>rpn</code></font>'.  rpn expressions end with a
closing curly brace (`<font color="#82140F"><code>}</code></font>').  Instead of `<font color="#82140F"><code>set x size 10</code></font>' you
could write `<font color="#82140F"><code>set x size {rpn 20 2 /}</code></font>', where the expression
`<font color="#82140F"><code>{rpn 20 2 /}</code></font>' tells Gri to insert the number 20 onto a stack,
then insert the number 2 above it on the stack, and then divide the top
two items on the stack.  The following are equivalent:
<p>
<TABLE SUMMARY="Example" BORDER="0" BGCOLOR="#efefef" WIDTH="100%">
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<TD>
<PRE>
<font color="#82140F">
set x size {rpn 20 2 /}           # 10 = 20/2
set x size {rpn 30 2 / 5 -}       # 10 = (30/2-5)
set x size {rpn pi 3.1415 / 10 *} # 10 = 10*pi/pi
</font></PRE>
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<p>
If an rpn expression contains a variable whose value is ``missing'',
then the value of the result of the expression will also be missing
(unless the value of the missing variable is thrown away with a
``pop'' operator).  However, if a missing value just happens to occur
as the result of an intermediate calculation, then the result is not
considered to be missing.
<p>
RPN operations can be divided roughly into the following groups.
<p>
<UL>
<LI><a href="StackOperators.html#StackOperators">Stack Operators</a>: Operate on the rpn stack
<LI><a href="RpnFunction.html#RpnFunctions">Rpn Functions</a>: Define a new rpn operator
<LI><a href="TertiaryOperators.html#TertiaryOperators">Tertiary Operators</a>: Act on top three items on stack
<LI><a href="BinaryOperators.html#BinaryOperators">Binary Operators</a>: Act on top two items on stack
<LI><a href="UnaryOperators.html#UnaryOperators">Unary Operators</a>: Act on top item on stack
<LI><a href="SolitaryOperators.html#SolitaryOperators">Solitary Operators</a>: Act alone
<LI><a href="ManipulatingColumns.html#ManipulationofColumnsetc">Manipulation of Columns etc</a>: Act on data columns
<LI><a href="RPNexamples.html#rpnExamples">rpn Examples</a>: A few examples
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