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<h3>9.3.40: `<font color="#82140F"><code>rpnfunction</code></font>'</h3>
<!-- latex: \index{rpnfunction} -->
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<PRE>
<font color="#82140F">
`rpnfunction name replacement-words'
</font></PRE>
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<p>
Create a new keyword for use in rpn expressions. Inside any RPN
expression which follows this line, the word `<font color="#82140F"><code>name</code></font>' will be
substituted with the indicated replacement words.
<p>
For example,
the following shows the definition and use of a function which computes
the sine of twice an angle, by multiplying whatever is on the stack by
`<font color="#82140F"><code>2</code></font>', and then taking the sine of the result.
<p>
<TABLE SUMMARY="Example" BORDER="0" BGCOLOR="#efefef" WIDTH="100%">
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<PRE>
<font color="#82140F">
rpnfunction sin2 2 * sin
show "expect the number 1 to follow: " {rpn 45 sin2}
</font></PRE>
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<p>
The replacement words will have any synonyms in them translated first,
unless they start with an underscore followed by a double backslash.
Similarly, variables are substituted unless they start with an
underscore. These exceptions are to allow the use of the `<font color="#82140F"><code>defined</code></font>'
operator (see <a href="ReversePolishMath.html#rpnMathematics">rpn Mathematics</a>).
<p>
Note: The mathematical constants `<font color="#82140F"><code>e</code></font>' and `<font color="#82140F"><code>pi</code></font>' are stored using
`<font color="#82140F"><code>rpnfunctions</code></font>'. Also, two `<font color="#82140F"><code>rpnfunctions</code></font>' are provided for
finding the slope and intercept of a line joining two points, e.g.
<p>
<TABLE SUMMARY="Example" BORDER="0" BGCOLOR="#efefef" WIDTH="100%">
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<PRE>
<font color="#82140F">
# Expect answers 1 and 10 ...
show "slope=" {rpn 0 1 1 11 linear_slope}
show "inter=" {rpn 0 1 1 11 linear_intercept}
</font></PRE>
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<p>
These are useful in `<font color="#82140F"><code>set grid missing above .intercept. .slope.</code></font>'
and `<font color="#82140F"><code>set z missing above .intercept. .slope.</code></font>'.
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