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67 changes: 28 additions & 39 deletions docs/README.md
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# Introduction
# Home

[Overview](#overview) |
[Supported environment](#environment) |
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processors. SLEEF is designed to effciently perform computation with
SIMD instructions by reducing the use of conditional branches and
scatter/gather memory access. Our <a class="underlined"
href="benchmark.xhtml">benchmarks</a> show that the performance of
href="performance/">benchmarks</a> show that the performance of
SLEEF is comparable to that of the best commercial library.
</p>

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easily ported to other architectures by writing a helper file, which
is a thin abstraction layer of SIMD intrinsics. SLEEF also
provides <a class="underlined"
href="additional.xhtml#dispatcher">dispatchers</a> that
href="extra/#dispatcher">dispatchers</a> that
automatically choose the best subroutines for the computer on which
the library is executed. In order to further optimize the
application code that calls SLEEF functions,
<a class="underlined" href="additional.xhtml#lto">link time
<a class="underlined" href="extra/#lto">link time
optimization(LTO)</a> can be used to reduce the overhead of
functions calls, and the build system of SLEEF supports usage of
LTO. The library also has a functionality to generate
<a class="underlined" href="additional.xhtml#inline">header
<a class="underlined" href="extra/#inline">header
files</a> in which the library functions are all defined as inline
functions. SLEEF can be used for <a class="underlined"
href="cuda.xhtml">GPGPU</a> and <a class="underlined"
href="additional.xhtml#wasm">WebAssembly</a> with these header
href="references/libm/cuda">GPGPU</a> and <a class="underlined"
href="extra/#wasm">WebAssembly</a> with these header
files. In addition to the vectorized functions, SLEEF provides
scalar functions. Calls to these scalar SLEEF functions can be
<a class="underlined"
href="additional.xhtml#vectorizing">auto-vectorized</a> by GCC.
href="extra/#vectorizing">auto-vectorized</a> by GCC.
</p>

<p>
The library contains implementations of all C99 real FP math
functions in double precision and single precision. Different
accuracy of the results can be chosen for a subset of the elementary
functions; for this subset there are versions with up to
1 <a class="underlined" href="additional.xhtml#ulp">ULP</a> error
1 <a class="underlined" href="extra/#ulp">ULP</a> error
(which is the maximum error, not the average) and even faster
versions with a few ULPs of error. For non-finite inputs and
outputs, the functions return correct results as specified in the
C99 standard. All the functions in the library
are <a class="underlined" href="misc.xhtml#testerlibm">thoroughly
are <a class="underlined" href="tools/#testerlibm">thoroughly
tested</a> and confirmed that the evaluation error is within the
designed limit by comparing the returned values against
high-precision evaluation using the GNU MPFR Library.
</p>

<p>
As of version 3.6, SLEEF also includes a <a class="underlined"
href="quad.xhtml">quad-precision math library</a>. This library
href="references/quad">quad-precision math library</a>. This library
includes fully vectorized IEEE 754 quadruple-precision (QP)
functions that correspond to the standard C math functions. It also
includes I/O functions for converting between QP numbers and
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<p>
SLEEF also includes a library of <a class="underlined"
href="dft.xhtml">discrete Fourier transform(DFT)</a>. These
href="references/dft">discrete Fourier transform(DFT)</a>. These
subroutines are fully vectorized, heavily unrolled, and parallelized
in such a way that modern SIMD instructions and multiple cores can
be utilized for efficient computation. It has an API similar to that
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<div><br/></div>

<ul class="disc">
<li><a class="underlined" href="x86.xhtml">x86</a> - SSE2, SSE4.1,
<li><a class="underlined" href="references/libm/x86">x86</a> - SSE2, SSE4.1,
AVX, AVX2+FMA3, AVX512F</li>
<li><a class="underlined" href="aarch64.xhtml">AArch64</a> - Advanced SIMD, SVE</li>
<li><a class="underlined" href="aarch32.xhtml">AArch32</a> - NEON</li>
<li><a class="underlined" href="ppc64.xhtml">PowerPC64</a> - VSX (POWER8), VSX-3 (POWER9)</li>
<li><a class="underlined" href="s390x.xhtml">System/390</a> - VXE (z14), VXE2 (z15)</li>
<li><a class="underlined" href="references/libm/aarch64">AArch64</a> - Advanced SIMD, SVE</li>
<li><a class="underlined" href="references/libm/aarch32">AArch32</a> - NEON</li>
<li><a class="underlined" href="references/libm/ppc64">PowerPC64</a> - VSX (POWER8), VSX-3 (POWER9)</li>
<li><a class="underlined" href="references/libm/s390x">System/390</a> - VXE (z14), VXE2 (z15)</li>
<li>RISC-V - RVV1, RVV2</li>
<li><a class="underlined" href="cuda.xhtml">CUDA</a></li>
<li><a class="underlined" href="additional.xhtml#wasm">WebAssembly</a> - SSE2</li>
<li><a class="underlined" href="references/libm/cuda">CUDA</a></li>
<li><a class="underlined" href="extra/#wasm">WebAssembly</a> - SSE2</li>
</ul>

<div><br/></div>
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<td class="lt-r" align="left">x86_64, Windows</td>
<td></td>
<td class="lt-lr" align="center">Supported(Cygwin)(*3)</td>
<td class="lt-r" align="center"><a class="underlined" href="compile.xhtml#cow">Supported</a></td>
<td class="lt-r" align="center"><a class="underlined" href="user-guide/#cow">Supported</a></td>
<td class="lt-r" align="center"></td>
<td class="lt-" align="center"><a class="underlined" href="compile.xhtml#MSVC">Supported</a></td>
<td class="lt-" align="center"><a class="underlined" href="user-guide/#MSVC">Supported</a></td>
</tr>
<tr>
<td class="lt-r" align="left">AArch32, Linux</td>
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<td class="lt-r" align="left">AArch64, Android</td>
<td></td>
<td class="lt-lr" align="center"></td>
<td class="lt-r" align="center"><a class="underlined" href="compile.xhtml#cross">Preliminary</a></td>
<td class="lt-r" align="center"><a class="underlined" href="user-guide/#cross">Preliminary</a></td>
<td class="lt-r" align="center">N/A</td>
<td class="lt-" align="center">N/A</td>
</tr>
<tr>
<td class="lt-br" align="left">AArch64, iOS</td>
<td class="lt-hl"></td>
<td class="lt-blr" align="center"></td>
<td class="lt-br" align="center"><a class="underlined" href="compile.xhtml#cross">Preliminary</a></td>
<td class="lt-br" align="center"><a class="underlined" href="user-guide/#cross">Preliminary</a></td>
<td class="lt-br" align="center">N/A</td>
<td class="lt-b" align="center">N/A</td>
</tr>
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<h2 id="partners">Partner institutes and corporations</h2>

<table style="margin-top:1cm;">
<tr><td>&nbsp;</td></tr>
<tr>
<td style="text-align:center;"><a href="https://www.naist.jp/en/"><img src="naistlogo.svg"
<td style="text-align:center;"><a href="https://www.naist.jp/en/"><img src="img/naistlogo.svg"
height="135px" alt="NAIST logo"/></a></td>
<td style="vertical-align: top;">
<p class="noindent" style="margin-left:2em;">
Expand All @@ -372,11 +371,8 @@ of Science and Technology participates through Naoki Shibata.
</p>
</td>
</tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr>
<td style="text-align:center;"><a href="https://ibm.com/"><img src="https://sleef.org/IBM_logo.svg" alt="IBM logo"
<td style="text-align:center;"><a href="https://ibm.com/"><img src="img/IBM_logo.svg" alt="IBM logo"
height="68px" /></a></td>
<td style="vertical-align: top;">
<p class="noindent" style="margin-left:2em;">
Expand All @@ -386,11 +382,8 @@ participates through David Edelsohn.
</p>
</td>
</tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr>
<td style="text-align:center;"><a href="https://www.arm.com/"><img src="https://sleef.org/Arm-logo-blue-pms313.svg" alt="ARM logo"
<td style="text-align:center;"><a href="https://www.arm.com/"><img src="img/Arm-logo-blue-pms313.svg" alt="ARM logo"
height="60px" /></a></td>
<td style="vertical-align: top;">
<p class="noindent" style="margin-left:2em;">
Expand All @@ -400,11 +393,8 @@ participates through Pierre Blanchard, Joe Ramsay and Joana Cruz.
</p>
</td>
</tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr><td>&nbsp;</td></tr>
<tr>
<td style="text-align:center;"><a href="https://unity3d.com/"><img src="https://sleef.org/Unity_Technologies_logo.svg" alt="Unity Technologies logo"
<td style="text-align:center;"><a href="https://unity3d.com/"><img src="img/Unity_Technologies_logo.svg" alt="Unity Technologies logo"
height="92px" /></a></td>
<td style="vertical-align: top;">
<p class="noindent" style="margin-left:2em;">As the leading
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</p>
</td>
</tr>
<tr><td>&nbsp;</td></tr>
</table>

<h2 id="license">License</h2>
Expand All @@ -427,7 +416,7 @@ href="http://www.boost.org/LICENSE_1_0.txt">Boost Software License

<p class="noindent" style="margin-top: 0.8cm;">
<a class="nothing" href="https://opensource.org/">
<img src="osi_logo.png" width="90" height="103" alt="open source logo" style="position:relative; top:3px;"/>
<img src="img/osi_logo.png" width="90" height="103" alt="open source logo" style="position:relative; top:3px;"/>
</a>
&nbsp; Boost Software License is <a class="underlined"
href="https://opensource.org/licenses/BSL-1.0">OSI-certified</a>.
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collections: true
markdown: kramdown
title: SLEEF Vectorized Math Library
logo: img/sleeflogo3.png
description: Vectorized C99 math functions across popular platforms and architectures.
logo: sleeflogo3.png
show_downloads: true
google_analytics:
theme: jekyll-theme-minimal
1 change: 0 additions & 1 deletion docs/_layouts/default.html
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Expand Up @@ -63,7 +63,6 @@ <h1><a href="{{ "/" | absolute_url }}">{{ site.title | default: site.github.repo
<p>This project is maintained by <a href="{{ site.github.owner_url }}">{{ site.github.owner_name }}</a></p>
{% endif %}
<p><small>Copyright &copy; 2010-2024 SLEEF Project, Naoki Shibata and contributors.</small></p>
<p><small>Hosted on GitHub Pages &mdash; Theme by <a href="https://github.com/orderedlist">orderedlist</a></small></p>
</footer>
</div>
<script src="{{ "/assets/js/scale.fix.js" | relative_url }}"></script>
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