sleef/docs/quadx86.xhtml at master · Blosc/sleef · GitHub

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<?xml version="1.0" encoding="UTF-8"?>
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<title>SLEEF - Quad-precision math library reference (x86)</title>
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<h1>SLEEF - Quad-precision math library reference (x86)</h1>

<h2>Table of contents</h2>

<ul class="none" style="font-family: arial, sansserif; padding-left: 0.5cm;">
  <li><a class="underlined" href="index.xhtml">Introduction</a></li>
  <li><a class="underlined" href="compile.xhtml">Compiling and installing the library</a></li>
  <li><a class="underlined" href="purec.xhtml">Math library reference</a></li>
  <li>&nbsp;</li>
  <li><a class="underlined" href="quad.xhtml"> Quad-precision math library reference</a>
  <ul class="disc">
    <li><a class="underlined" href="quad.xhtml">Data types and functions for all architectures</a></li>
    <li><a class="underlined" href="quadx86.xhtml">Data types and functions for x86 architecture</a></li>
    <ul class="circle">
      <li><a href="#datatypes">Data types</a></li>
      <li><a href="#access">Functions for accessing elements inside vector variable</a></li>
      <li><a href="#conversion">Conversion functions</a></li>
      <li><a href="#comparison">Comparison and selection functions</a></li>
      <li><a href="#mathfunctions">Math functions</a></li>
    </ul>
    <li><a class="underlined" href="quadaarch64.xhtml">Data types and functions for AArch64 architecture</a></li>
    <li><a class="underlined" href="quadcuda.xhtml">Data types and functions for CUDA</a></li>
  </ul>
  </li>
  <li>&nbsp;</li>
  <li><a class="underlined" href="dft.xhtml">DFT library reference</a></li>
  <li><a class="underlined" href="misc.xhtml">Other tools included in the package</a></li>
  <li><a class="underlined" href="benchmark.xhtml">Benchmark results</a></li>
  <li><a class="underlined" href="additional.xhtml">Additional notes</a></li>
</ul>

<h2 id="datatypes">Data types</h2>

<p class="noindent">
  Two vector registers are combined to retain a vector of QP FP
  numbers. One of these registers holds the upper part of QP numbers,
  and the other register holds the lower part. You have to use the
  dedicated functions to access each element in a vector variable.
</p>

<br/>

<p class="funcname"><b class="type">Sleef_quadx2</b></p>

<p class="header">Description</p>

<p class="noindent">
  <b class="type">Sleef_quadx2</b> is a data type for retaining two QP
  FP numbers. Please
  use <a href="#load"><b class="func">Sleef_loadq2</b></a>, <a href="#store"><b class="func">Sleef_storeq2</b></a>, <a href="#get"><b class="func">Sleef_getq2</b></a>
  and <a href="#set"><b class="func">Sleef_setq2</b></a> functions to access the
  data inside variables in this data type.
</p>

<hr/>

<p class="funcname"><b class="type">Sleef_quadx4</b></p>

<p class="header">Description</p>

<p class="noindent">
  <b class="type">Sleef_quadx4</b> is a data type for retaining four QP
  FP numbers. Please
  use <a href="#load"><b class="func">Sleef_loadq4_avx2</b></a>, <a href="#store"><b class="func">Sleef_storeq4_avx2</b></a>, <a href="#get"><b class="func">Sleef_getq4_avx2</b></a>
  and <a href="#set"><b class="func">Sleef_setq4_avx2</b></a> functions to access the
  data inside variables in this data type.
</p>

<hr/>

<p class="funcname"><b class="type">Sleef_quadx8</b></p>

<p class="header">Description</p>

<p class="noindent">
  <b class="type">Sleef_quadx8</b> is a data type for retaining eight QP
  FP numbers. Please
  use <a href="#load"><b class="func">Sleef_loadq8_avx512f</b></a>, <a href="#store"><b class="func">Sleef_storeq8_avx512f</b></a>, <a href="#get"><b class="func">Sleef_getq8_avx512f</b></a>
  and <a href="#set"><b class="func">Sleef_setq8_avx512f</b></a> functions to access the
  data inside variables in this data type.
</p>


<h2 id="access">Functions for accessing elements inside vector variable</h2>

<p id="load" class="funcname">Load QP FP values into vector variable</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_loadq2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_loadq2_sse2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_loadq2_avx2128</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_loadq4_avx2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_loadq8_avx512f</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions load QP FP values from memory and store the results
  in a vector variable.
</p>

<hr/>

<p id="store" class="funcname">Store QP FP values in a vector variable to memory</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">void</b> <b class="func">Sleef_storeq2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i>, <b class="type">Sleef_quadx2</b> <i class="var">v</i> );<br/>
<b class="type">void</b> <b class="func">Sleef_storeq2_sse2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i>, <b class="type">Sleef_quadx2</b> <i class="var">v</i> );<br/>
<b class="type">void</b> <b class="func">Sleef_storeq2_avx2128</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i>, <b class="type">Sleef_quadx2</b> <i class="var">v</i> );<br/>
<b class="type">void</b> <b class="func">Sleef_storeq4_avx2</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i>, <b class="type">Sleef_quadx4</b> <i class="var">v</i> );<br/>
<b class="type">void</b> <b class="func">Sleef_storeq8_avx512f</b>( <b class="type">Sleef_quad *</b> <i class="var">ptr</i>, <b class="type">Sleef_quadx8</b> <i class="var">v</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions store QP FP values in the given variable to memory.
</p>

<hr/>

<p id="get" class="funcname">Extract one element from QP FP vector variable</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quad</b> <b class="func">Sleef_getq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i> );<br/>
<b class="type">Sleef_quad</b> <b class="func">Sleef_getq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i> );<br/>
<b class="type">Sleef_quad</b> <b class="func">Sleef_getq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i> );<br/>
<b class="type">Sleef_quad</b> <b class="func">Sleef_getq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i> );<br/>
<b class="type">Sleef_quad</b> <b class="func">Sleef_getq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions extract the <i class="var">index</i>-th element from
  a QP FP vector variable.
</p>

<hr/>

<p id="set" class="funcname">Set one element in QP FP vector variable</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_setq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i>, <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_setq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i>, <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_setq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i>, <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_setq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i>, <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_setq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">v</i>, <b class="type">int</b> <i class="var">index</i>, <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions return a QP FP vector in which
  the <i class="var">index</i>-th element is <i class="var">e</i>, and
  other elements are the same as <i class="var">v</i>.
</p>

<hr/>

<p id="splat" class="funcname">Set all elements in QP FP vector to the same value</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_splatq2</b>( <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_splatq2_sse2</b>( <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_splatq2_avx2128</b>( <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_splatq4_avx2</b>( <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_splatq8_avx512f</b>( <b class="type">Sleef_quad</b> <i class="var">e</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions return a QP FP vector in which all elements are set
  to <i class="var">e</i>.
</p>


<h2 id="conversion">Conversion functions</h2>

<p class="funcname">Convert QP number to double-precision number</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128d</b> <b class="func">Sleef_cast_to_doubleq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128d</b> <b class="func">Sleef_cast_to_doubleq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128d</b> <b class="func">Sleef_cast_to_doubleq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m256d</b> <b class="func">Sleef_cast_to_doubleq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">__m512d</b> <b class="func">Sleef_cast_to_doubleq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a QP FP value to a double-precision value.
</p>

<hr/>

<p class="funcname">Convert double-precision number to QP number</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_doubleq2</b>( <b class="type">__m128d</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_doubleq2_sse2</b>( <b class="type">__m128d</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_doubleq2_avx2128</b>( <b class="type">__m128d</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_cast_from_doubleq4_avx2</b>( <b class="type">__m256d</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_cast_from_doubleq8_avx512f</b>( <b class="type">__m512d</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a double-precision value to a QP FP value.
</p>

<hr/>


<p class="funcname">Convert QP number to 64-bit signed integer</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_int64q2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_int64q2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_int64q2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_cast_to_int64q4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">__m512i</b> <b class="func">Sleef_cast_to_int64q8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a QP FP value to a 64-bit signed integer.
</p>

<hr/>


<p class="funcname">Convert 64-bit signed integer to QP number</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_int64q2</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_int64q2_sse2</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_int64q2_avx2128</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_cast_from_int64q4_avx2</b>( <b class="type">__m256i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_cast_from_int64q8_avx512f</b>( <b class="type">__m512i</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a 64-bit signed integer to a QP FP value.
</p>

<hr/>


<p class="funcname">Convert QP number to 64-bit unsigned integer</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_uint64q2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_uint64q2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_cast_to_uint64q2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_cast_to_uint64q4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">__m512i</b> <b class="func">Sleef_cast_to_uint64q8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a QP FP value to a 64-bit signed integer.
</p>

<hr/>


<p class="funcname">Convert 64-bit unsigned integer to QP number</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_uint64q2</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_uint64q2_sse2</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cast_from_uint64q2_avx2128</b>( <b class="type">__m128i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_cast_from_uint64q4_avx2</b>( <b class="type">__m256i</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_cast_from_uint64q8_avx512f</b>( <b class="type">__m512i</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These functions convert a 64-bit unsigned integer to a QP FP value.
</p>


<h2 id="comparison">Comparison and selection functions</h2>

<p class="funcname">QP comparison functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpltq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpleq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgtq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgeq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpeqq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpneq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpltq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpleq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgtq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgeq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpeqq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpneq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpltq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpleq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgtq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgeq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpeqq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpneq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpltq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpleq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgtq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpgeq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpeqq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpneq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpltq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpleq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpgtq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpgeq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpeqq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpneq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions of <a class="underlined"
  href="quad.xhtml#basicComparison">comparison functions</a>.
</p>

<hr/>

<p class="funcname">QP comparison functions of the second kind</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_icmpq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_icmpq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_icmpq1_purec"><b class="func">Sleef_icmpq1_purec</b></a>.
</p>

<hr/>

<p class="funcname">Check orderedness</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">__m128i</b> <b class="func">Sleef_iunordq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_iunordq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_iunordq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">__m128i</b> <b class="func">Sleef_iunordq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">__m256i</b> <b class="func">Sleef_iunordq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_iunordq1_purec"><b class="func">Sleef_iunordq1_purec</b></a>.
</p>

<hr/>

<p class="funcname">Select elements</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_iselectq2</b>( <b class="type">__m128i</b> <i class="var">c</i>, <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_iselectq2_sse2</b>( <b class="type">__m128i</b> <i class="var">c</i>, <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_iselectq2_avx2128</b>( <b class="type">__m128i</b> <i class="var">c</i>, <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_iselectq4_avx2</b>( <b class="type">__m128i</b> <i class="var">c</i>, <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_iselectq8_avx512f</b>( <b class="type">__m256i</b> <i class="var">c</i>, <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions that operate in the same way as the ternary operator.
</p>


<h2 id="mathfunctions">Math functions</h2>

<p class="funcname">QP functions for basic arithmetic operations</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_addq2_u05</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_subq2_u05</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_mulq2_u05</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_divq2_u05</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_negq2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_addq2_u05sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_subq2_u05sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_mulq2_u05sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_divq2_u05sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_negq2_sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_addq2_u05avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_subq2_u05avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_mulq2_u05avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_divq2_u05avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i>, <b class="type">Sleef_quadx2</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_negq2_avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_addq4_u05avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_subq4_u05avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_mulq4_u05avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_divq4_u05avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i>, <b class="type">Sleef_quadx4</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_negq4_avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_addq8_u05avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_subq8_u05avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_mulq8_u05avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_divq8_u05avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i>, <b class="type">Sleef_quadx8</b> <i class="var">b</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_negq8_avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions of <a class="underlined"
  href="quad.xhtml#basicArithmetic">the basic arithmetic operations</a>.
</p>

<hr/>

<p class="funcname">Square root functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sqrtq2_u05</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sqrtq2_u05sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sqrtq2_u05avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_sqrtq4_u05avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_sqrtq8_u05avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_sqrtq1_u05purec"><b class="func">Sleef_sqrtq1_u05purec</b></a>.
</p>

<hr/>

<p class="funcname">Sine functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_sinq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_sinq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_sinq1_u10purec"><b class="func">Sleef_sinq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Cosine functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cosq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cosq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_cosq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_cosq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_cosq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_cosq1_u10purec"><b class="func">Sleef_cosq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Tangent functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_tanq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_tanq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_tanq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_tanq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_tanq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_tanq1_u10purec"><b class="func">Sleef_tanq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Arc sine functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_asinq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_asinq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_asinq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_asinq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_asinq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_asinq1_u10purec"><b class="func">Sleef_asinq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Arc cosine functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_acosq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_acosq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_acosq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_acosq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_acosq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_acosq1_u10purec"><b class="func">Sleef_acosq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Arc tangent functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_atanq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_atanq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_atanq1_u10purec"><b class="func">Sleef_atanq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Arc tangent functions of two variables</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">y</i>, <b class="type">Sleef_quadx2</b> <i class="var">x</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">y</i>, <b class="type">Sleef_quadx2</b> <i class="var">x</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_atanq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">y</i>, <b class="type">Sleef_quadx2</b> <i class="var">x</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_atanq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">y</i>, <b class="type">Sleef_quadx4</b> <i class="var">x</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_atanq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">y</i>, <b class="type">Sleef_quadx8</b> <i class="var">x</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_atanq1_u10purec"><b class="func">Sleef_atan2q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-<i>e</i> exponential functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_expq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_expq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_expq1_u10purec"><b class="func">Sleef_expq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-2 exponential functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp2q2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp2q2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp2q2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_exp2q4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_exp2q8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_exp2q1_u10purec"><b class="func">Sleef_exp2q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-10 exponentail</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp10q2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp10q2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_exp10q2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_exp10q4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_exp10q8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_exp10q1_u10purec"><b class="func">Sleef_exp10q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-<i>e</i> exponential functions minus 1</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expm1q2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expm1q2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_expm1q2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_expm1q4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_expm1q8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_expm1q1_u10purec"><b class="func">Sleef_expm1q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Natural logarithmic functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_logq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_logq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_logq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_logq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_logq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_logq1_u10purec"><b class="func">Sleef_logq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-2 logarithmic functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log2q2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log2q2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log2q2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_log2q4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_log2q8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_log2q1_u10purec"><b class="func">Sleef_log2q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Base-10 logarithmic functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log10q2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log10q2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log10q2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_log10q4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_log10q8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_log10q1_u10purec"><b class="func">Sleef_log10q1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Logarithm of one plus argument</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log1pq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log1pq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_log1pq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_log1pq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_log1pq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_log1pq1_u10purec"><b class="func">Sleef_log1pq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Power functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_powq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">x</i>, <b class="type">Sleef_quadx2</b> <i class="var">y</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_powq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">x</i>, <b class="type">Sleef_quadx2</b> <i class="var">y</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_powq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">x</i>, <b class="type">Sleef_quadx2</b> <i class="var">y</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_powq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">x</i>, <b class="type">Sleef_quadx4</b> <i class="var">y</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_powq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">x</i>, <b class="type">Sleef_quadx8</b> <i class="var">y</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_powq1_u10purec"><b class="func">Sleef_powq1_u10purec</b></a>.
</p>

<hr/>

<p class="funcname">Hyperbolic sine functions</p>

<p class="header">Synopsis</p>

<p class="synopsis">
#include &lt;sleefquad.h&gt;<br/>
<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinhq2_u10</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinhq2_u10sse2</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx2</b> <b class="func">Sleef_sinhq2_u10avx2128</b>( <b class="type">Sleef_quadx2</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx4</b> <b class="func">Sleef_sinhq4_u10avx2</b>( <b class="type">Sleef_quadx4</b> <i class="var">a</i> );<br/>
<b class="type">Sleef_quadx8</b> <b class="func">Sleef_sinhq8_u10avx512f</b>( <b class="type">Sleef_quadx8</b> <i class="var">a</i> );<br/>
<br/>
<span class="normal">Link with</span> -lsleefquad -ltlfloat.
</p>

<p class="header">Description</p>

<p class="noindent">
  These are the vectorized functions
  of <a href="quad.xhtml#Sleef_sinhq1_u10purec"><b class="func">Sleef_sinhq1_u10purec</b></a>.