Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / powers / hypot.html

diff --git a/libs/math/doc/html/math_toolkit/powers/hypot.html b/libs/math/doc/html/math_toolkit/powers/hypot.html
index 8794d5a..c5d9892 100644 (file)
--- a/libs/math/doc/html/math_toolkit/powers/hypot.html
+++ b/libs/math/doc/html/math_toolkit/powers/hypot.html
@@ -4,7 +4,7 @@
 <title>hypot</title>
 <link rel="stylesheet" href="../../math.css" type="text/css">
 <meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../../index.html" title="Math Toolkit 2.10.0">
+<link rel="home" href="../../index.html" title="Math Toolkit 2.11.0">
 <link rel="up" href="../powers.html" title="Basic Functions">
 <link rel="prev" href="powm1.html" title="powm1">
 <link rel="next" href="ct_pow.html" title="Compile Time Power of a Runtime Base">
@@ -29,13 +29,18 @@
 <pre class="programlisting"><span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">&gt;</span>
 <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">);</span>
 
-<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
-<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T1</span><span class="special">,</span> <span class="keyword">class</span> <span class="identifier">T2</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">hypot</span><span class="special">(</span><span class="identifier">T1</span> <span class="identifier">x</span><span class="special">,</span> <span class="identifier">T2</span> <span class="identifier">y</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
 </pre>
 <p>
-        <span class="bold"><strong>Effects: </strong></span> computes <span class="inlinemediaobject"><img src="../../../equations/hypot.svg"></span>
-in such a way
-        as to avoid undue underflow and overflow.
+        <span class="bold"><strong>Effects: </strong></span> computes
+      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/hypot.svg"></span>
+
+        </p></blockquote></div>
+<p>
+        in such a way as to avoid undue underflow and overflow.
       </p>
 <p>
         The return type of this function is computed using the <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
@@ -43,34 +48,41 @@ in such a way
         types.
       </p>
 <p>
-        The final <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
+        The final <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
         be used to control the behaviour of the function: how it handles errors,
-        what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">policy
+        what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">policy
         documentation for more details</a>.
       </p>
 <p>
-        When calculating <span class="inlinemediaobject"><img src="../../../equations/hypot.svg"></span> it's quite easy for the intermediate terms to
-        either overflow or underflow, even though the result is in fact perfectly
-        representable.
+        When calculating
+      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/hypot.svg"></span>
+
+        </p></blockquote></div>
+<p>
+        it's quite easy for the intermediate terms to either overflow or underflow,
+        even though the result is in fact perfectly representable.
       </p>
 <h5>
 <a name="math_toolkit.powers.hypot.h0"></a>
         <span class="phrase"><a name="math_toolkit.powers.hypot.implementation"></a></span><a class="link" href="hypot.html#math_toolkit.powers.hypot.implementation">Implementation</a>
       </h5>
 <p>
-        The function is even and symmetric in x and y, so first take assume <span class="emphasis"><em>x,y
-        &gt; 0</em></span> and <span class="emphasis"><em>x &gt; y</em></span> (we can permute the arguments
-        if this is not the case).
+        The function is even and symmetric in <span class="emphasis"><em>x</em></span> and <span class="emphasis"><em>y</em></span>,
+        so first take assume <span class="emphasis"><em>x,y &gt; 0</em></span> and <span class="emphasis"><em>x &gt;
+        y</em></span> (we can permute the arguments if this is not the case).
       </p>
 <p>
-        Then if <span class="emphasis"><em>x * &#949; &#160; &gt;= y</em></span> we can simply return <span class="emphasis"><em>x</em></span>.
+        Then if <span class="emphasis"><em>x * &#949; &gt;= y</em></span> we can simply return <span class="emphasis"><em>x</em></span>.
       </p>
 <p>
         Otherwise the result is given by:
       </p>
-<p>
-        <span class="inlinemediaobject"><img src="../../../equations/hypot2.svg"></span>
-      </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+          <span class="inlinemediaobject"><img src="../../../equations/hypot2.svg"></span>
+
+        </p></blockquote></div>
 </div>
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