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+<a name="Overview-of-poly_005fint"></a>
+<div class="header">
+<p>
+Next: <a href="Consequences-of-using-poly_005fint.html#Consequences-of-using-poly_005fint" accesskey="n" rel="next">Consequences of using <code>poly_int</code></a>, Up: <a href="poly_005fint.html#poly_005fint" accesskey="u" rel="up">poly_int</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
+</div>
+<hr>
+<a name="Overview-of-poly_005fint-1"></a>
+<h3 class="section">10.1 Overview of <code>poly_int</code></h3>
+
+<a name="index-poly_005fint_002c-runtime-value"></a>
+<p>We define indeterminates <var>x1</var>, &hellip;, <var>xn</var> whose values are
+only known at runtime and use polynomials of the form:
+</p>
+<div class="smallexample">
+<pre class="smallexample"><var>c0</var> + <var>c1</var> * <var>x1</var> + &hellip; + <var>cn</var> * <var>xn</var>
+</pre></div>
+
+<p>to represent a size or offset whose value might depend on some
+of these indeterminates. The coefficients <var>c0</var>, &hellip;, <var>cn</var>
+are always known at compile time, with the <var>c0</var> term being the
+&ldquo;constant&rdquo; part that does not depend on any runtime value.
+</p>
+<p>GCC uses the <code>poly_int</code> class to represent these coefficients.
+The class has two template parameters: the first specifies the number of
+coefficients (<var>n</var> + 1) and the second specifies the type of the
+coefficients. For example, &lsquo;<samp>poly_int&lt;2, unsigned short&gt;</samp>&rsquo; represents
+a polynomial with two coefficients (and thus one indeterminate), with each
+coefficient having type <code>unsigned short</code>. When <var>n</var> is 0,
+the class degenerates to a single compile-time constant <var>c0</var>.
+</p>
+<a name="index-poly_005fint_002c-template-parameters"></a>
+<a name="index-NUM_005fPOLY_005fINT_005fCOEFFS"></a>
+<p>The number of coefficients needed for compilation is a fixed
+property of each target and is specified by the configuration macro
+<code>NUM_POLY_INT_COEFFS</code>. The default value is 1, since most targets
+do not have such runtime invariants. Targets that need a different
+value should <code>#define</code> the macro in their <samp><var>cpu</var>-modes.def</samp>
+file. See <a href="Back-End.html#Back-End">Back End</a>.
+</p>
+<a name="index-poly_005fint_002c-invariant-range"></a>
+<p><code>poly_int</code> makes the simplifying requirement that each indeterminate
+must be a nonnegative integer. An indeterminate value of 0 should usually
+represent the minimum possible runtime value, with <var>c0</var> specifying
+the value in that case.
+</p>
+<p>For example, when targetting the Arm SVE ISA, the single indeterminate
+represents the number of 128-bit blocks in a vector <em>beyond the minimum
+length of 128 bits</em>. Thus the number of 64-bit doublewords in a vector
+is 2 + 2 * <var>x1</var>. If an aggregate has a single SVE vector and 16
+additional bytes, its total size is 32 + 16 * <var>x1</var> bytes.
+</p>
+<p>The header file <samp>poly-int-types.h</samp> provides typedefs for the
+most common forms of <code>poly_int</code>, all having
+<code>NUM_POLY_INT_COEFFS</code> coefficients:
+</p>
+<a name="index-poly_005fint_002c-main-typedefs"></a>
+<dl compact="compact">
+<dt><code>poly_uint16</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>unsigned short</code> coefficients.
+</p>
+</dd>
+<dt><code>poly_int64</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>HOST_WIDE_INT</code> coefficients.
+</p>
+</dd>
+<dt><code>poly_uint64</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>unsigned HOST_WIDE_INT</code> coefficients.
+</p>
+</dd>
+<dt><code>poly_offset_int</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>offset_int</code> coefficients.
+</p>
+</dd>
+<dt><code>poly_wide_int</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>wide_int</code> coefficients.
+</p>
+</dd>
+<dt><code>poly_widest_int</code></dt>
+<dd><p>a &lsquo;<samp>poly_int</samp>&rsquo; with <code>widest_int</code> coefficients.
+</p></dd>
+</dl>
+
+<p>Since the main purpose of <code>poly_int</code> is to represent sizes and
+offsets, the last two typedefs are only rarely used.
+</p>
+<hr>
+<div class="header">
+<p>
+Next: <a href="Consequences-of-using-poly_005fint.html#Consequences-of-using-poly_005fint" accesskey="n" rel="next">Consequences of using <code>poly_int</code></a>, Up: <a href="poly_005fint.html#poly_005fint" accesskey="u" rel="up">poly_int</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
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