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<dt class="doc"> constants: </dt>
<dd> e, Epsilon, QuantumRange, QuantumScale, Opaque, Pi, Transparent</dd>
<dt class="doc"> Fx operators (in order of precedence): </dt>
- <dd> ^ (power), *, /, % (modulo), +, -,
+ <dd> ^ (power), unary -, *, /, % (modulo), +, -,
<<, >>, <, <=, >, >=, ==, !=,
& (bitwise AND), | (bitwise OR),
&& (logical AND), || (logical OR),
<dt class="doc"> math functions: </dt>
<dd> abs(), acos(), airy(), alt(), asin(), atan(), atan2(), ceil(), cos(), cosh(), debug(), exp(), floor(),
hypot(), int(), j0(), j1(), jinc(), ln(), log(), logtwo(), max(), min(), mod(), pow(), rand(), round(),
- sign(), sin(), sinc(), sinh(), sqrt(), tan(), tanh()</dd>
+ sign(), sin(), sinc(), sinh(), sqrt(), tan(), tanh(), trunc()</dd>
<dt class="doc"> channel functions: </dt>
<dd> channel(r,g,b,a), channel(c,m,y,k,a)</dd>
<dt class="doc"> color names:</dt>
<li> <kbd>sqrt(</kbd><em>x</em><kbd>)</kbd>: square root function</li>
<li> <kbd>tan(</kbd><em>x</em><kbd>)</kbd>: tangent function</li>
<li> <kbd>tanh(</kbd><em>x</em><kbd>)</kbd>: hyperbolic tangent function</li>
+<li> <kbd>trunc(</kbd><em>x</em><kbd>)</kbd>: round to integer, towards zero</li>
</ul>
<p>The expression semantics include these rules:</p>
<li>statements are assignments or the final expression to return</li>
<li>an assignment starts a statement, it is not an operator</li>
<li>assignments to built-ins do not throw an exception and have no effect; e.g. <kbd>r=3.0; r</kbd> returns the pixel red color value, not 3.0</li>
+<li>Unary operators have a lower priority than binary operators, that is, the unary minus (negation) has lower precedence than exponentiation, so -3^2 is interpreted as -(3^2) = -9. Use parentheses to clarify your intent (e.g. (-3)^2 = 9).</li>
+<li>Similarly, care must be exercised when using the slash ('/') symbol. The string of characters <em>1/2x</em> is interpreted as (1/2)x. The contrary interpretation should be written explicitly as 1/(2x). Again, the use of parentheses helps clarify the meaning and should be used whenever there is any chance of misinterpretation.</li>
</ul>
+
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<h3>Source Images</h3>
<p class='crt'><span class="crtprompt"> $magick> </span><span class='crtin'>convert xc:'rgb(25%,50%,75%)' rose: -colorspace rgb \ <br/>
-format 'Red channel of NW corner of image # %[fx:t] is %[fx: s]' info:</span><span class='crtout'>Red channel of NW corner of image # 0 is 0.250004 <br/>
Red channel of NW corner of image # 1 is 0.188235</span></p>
+<p>Use <kbd>%[fxc: ]</kbd> if your expression is a constant (e.g. <kbd>%[fxc:page.x/2]</kbd>. The result is cached and the cached result returned rather than evaluating the expression each time.</p>
+
<p>The color-escape <kbd>%[pixel: ]</kbd> is evaluated once per image and per color channel in that image (<a href="../www/command-line-options.html#channel">-channel</a> is ignored), The values generated are then converted into a color string (a named color or hex color value). The symbols <kbd>i</kbd> and <kbd>j</kbd> are set to zero, and <kbd>s</kbd> and <kbd>t</kbd> refer to each successively current image and index.</p>
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