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<a name="Functions-and-Variables-for-opsubst-1"></a>
<h3 class="section">79.1 Functions and Variables for opsubst</h3>
<a name="opsubst_005ffunc"></a><a name="Item_003a-opsubst_002fdeffn_002fopsubst"></a><dl>
<dt><a name="index-opsubst"></a>Function: <strong>opsubst</strong> <em><br> <tt>opsubst</tt> (<var>f</var>,<var>g</var>,<var>e</var>) <br> <tt>opsubst</tt> (<var>g</var>=<var>f</var>,<var>e</var>) <br> <tt>opsubst</tt> ([<var>g1</var>=<var>f1</var>,<var>g2</var>=<var>f2</var>,..., <var>gn</var>=<var>fn</var>],<var>e</var>)</em></dt>
<dd><p>The function <code>opsubst</code> is similar to the function <code>subst</code>, except that
<code>opsubst</code> only makes substitutions for the operators in an expression. In general,
When <var>f</var> is an operator in the expression <var>e</var>, substitute <var>g</var>
for <var>f</var> in the expression <var>e</var>.
</p>
<p>To determine the operator, <code>opsubst</code> sets <code>inflag</code> to true. This means
<code>opsubst</code> substitutes for the internal, not the displayed, operator
in the expression.
</p>
<p>Examples:
</p><div class="example">
<pre class="example">(%i1) load ("opsubst")$
(%i2) opsubst(f,g,g(g(x)));
(%o2) f(f(x))
(%i3) opsubst(f,g,g(g));
(%o3) f(g)
(%i4) opsubst(f,g[x],g[x](z));
(%o4) f(z)
(%i5) opsubst(g[x],f, f(z));
(%o5) g (z)
x
(%i6) opsubst(tan, sin, sin(sin));
(%o6) tan(sin)
(%i7) opsubst([f=g,g=h],f(x));
(%o7) h(x)
</pre></div>
<p>Internally, Maxima does not use the unary negation,
division, or the subtraction operators; thus:
</p><div class="example">
<pre class="example">(%i8) opsubst("+","-",a-b);
(%o8) a - b
(%i9) opsubst("f","-",-a);
(%o9) - a
(%i10) opsubst("^^","/",a/b);
a
(%o10) -
b
</pre></div>
<p>The internal representation of -a*b is *(-1,a,b); thus
</p><div class="example">
<pre class="example">(%i11) opsubst("[","*", -a*b);
(%o11) [- 1, a, b]
</pre></div>
<p>When either operator isn’t a Maxima symbol, generally some other function
will signal an error:
</p><div class="example">
<pre class="example">(%i12) opsubst(a+b,f, f(x));
Improper name or value in functional position:
b + a
-- an error. Quitting. To debug this try debugmode(true);
</pre></div>
<p>However, subscripted operators are allowed:
</p><div class="example">
<pre class="example">(%i13) opsubst(g[5],f, f(x));
(%o13) g (x)
5
</pre></div>
<p>To use this function write first <code>load("opsubst")</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Expressions">Expressions</a>
·<a href="maxima_424.html#Category_003a-Share-packages">Share packages</a>
·<a href="maxima_424.html#Category_003a-Package-opsubst">Package opsubst</a>
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