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CUTLASS 2.0 (#62) CUTLASS 2.0 Substantially refactored for - Better performance, particularly for native Turing Tensor Cores - Robust and durable templates spanning the design space - Encapsulated functionality embodying modern C++11 programming techniques - Optimized containers and data types for efficient, generic, portable device code Updates to: - Quick start guide - Documentation - Utilities - CUTLASS Profiler Native Turing Tensor Cores - Efficient GEMM kernels targeting Turing Tensor Cores - Mixed-precision floating point, 8-bit integer, 4-bit integer, and binarized operands Coverage of existing CUTLASS functionality: - GEMM kernels targeting CUDA and Tensor Cores in NVIDIA GPUs - Volta Tensor Cores through native mma.sync and through WMMA API - Optimizations such as parallel reductions, threadblock rasterization, and intra-threadblock reductions - Batched GEMM operations - Complex-valued GEMMs Note: this commit and all that follow require a host compiler supporting C++11 or greater.
2019-11-20 08:55:34 +08:00
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<a href="relatively__equal_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/***************************************************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Copyright (c) 2017-2019, NVIDIA CORPORATION. All rights reserved.</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without modification, are permitted</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * provided that the following conditions are met:</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * * Redistributions of source code must retain the above copyright notice, this list of</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * conditions and the following disclaimer.</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * * Redistributions in binary form must reproduce the above copyright notice, this list of</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * conditions and the following disclaimer in the documentation and/or other materials</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> * provided with the distribution.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> * * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment"> * to endorse or promote products derived from this software without specific prior written</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="comment"> * permission.</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY EXPRESS OR</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment"> * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment"> * OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment"> * STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE</span></div><div class="line"><a name="l0
<div class="ttc" id="namespacecutlass_html_ad5021c2735e27a869a571026bc9c6c7f"><div class="ttname"><a href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">cutlass::relatively_equal&lt; double &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; double &gt;(double a, double b, double epsilon, double nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:157</div></div>
<div class="ttc" id="namespacecutlass_html_a674e7702adcb25f7d143d93926a2d61d"><div class="ttname"><a href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">cutlass::uint4b_t</a></div><div class="ttdeci">integer_subbyte&lt; 4, false &gt; uint4b_t</div><div class="ttdoc">4-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:158</div></div>
<div class="ttc" id="namespacecutlass_html"><div class="ttname"><a href="namespacecutlass.html">cutlass</a></div><div class="ttdef"><b>Definition:</b> aligned_buffer.h:35</div></div>
<div class="ttc" id="namespacecutlass_html_a512b1ef2b0213d48738cac7bbb87a98e"><div class="ttname"><a href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">cutlass::abs</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T abs(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Returns the magnitude of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:313</div></div>
<div class="ttc" id="namespacecutlass_html_a09a3695d6126aed7a7c01f431fa34b7d"><div class="ttname"><a href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">cutlass::uint1b_t</a></div><div class="ttdeci">integer_subbyte&lt; 1, false &gt; uint1b_t</div><div class="ttdoc">1-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:152</div></div>
<div class="ttc" id="structcutlass_1_1integer__subbyte_html"><div class="ttname"><a href="structcutlass_1_1integer__subbyte.html">cutlass::integer_subbyte</a></div><div class="ttdoc">4-bit signed integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:42</div></div>
<div class="ttc" id="namespacecutlass_html_aebc97e25721b38692159a6d50d545fe0"><div class="ttname"><a href="namespacecutlass.html#aebc97e25721b38692159a6d50d545fe0">cutlass::relatively_equal</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal(T a, T b, T epsilon, T nonzero_floor)</div></div>
<div class="ttc" id="structcutlass_1_1half__t_html"><div class="ttname"><a href="structcutlass_1_1half__t.html">cutlass::half_t</a></div><div class="ttdoc">IEEE half-precision floating-point type. </div><div class="ttdef"><b>Definition:</b> half.h:126</div></div>
<div class="ttc" id="namespacecutlass_html_a301593d45e08bc8fa84a189261593879"><div class="ttname"><a href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">cutlass::relatively_equal&lt; uint8_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint8_t &gt;(uint8_t a, uint8_t b, uint8_t, uint8_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:100</div></div>
<div class="ttc" id="namespacecutlass_html_ad7ce0f4e7abaf531c187dc535db935d4"><div class="ttname"><a href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">cutlass::relatively_equal&lt; int32_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int32_t &gt;(int32_t a, int32_t b, int32_t, int32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:118</div></div>
<div class="ttc" id="namespacecutlass_html_a1a6c0b9fec0db0628b085c1b3021eb0f"><div class="ttname"><a href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">cutlass::relatively_equal&lt; uint16_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint16_t &gt;(uint16_t a, uint16_t b, uint16_t, uint16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:112</div></div>
<div class="ttc" id="namespacecutlass_html_af7c5c3f6da119eafdde3244d7cf56797"><div class="ttname"><a href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">cutlass::relatively_equal&lt; int4b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int4b_t &gt;(int4b_t a, int4b_t b, int4b_t, int4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:82</div></div>
<div class="ttc" id="namespacecutlass_html_aec96b8d17c5dc5c274fac2a3f94aecab"><div class="ttname"><a href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">cutlass::relatively_equal&lt; int16_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int16_t &gt;(int16_t a, int16_t b, int16_t, int16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:106</div></div>
<div class="ttc" id="cutlass_8h_html_a28c2443a142676d3d71effdae1a986b1"><div class="ttname"><a href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="ttdeci">#define CUTLASS_HOST_DEVICE</div><div class="ttdef"><b>Definition:</b> cutlass.h:89</div></div>
<div class="ttc" id="numeric__types_8h_html"><div class="ttname"><a href="numeric__types_8h.html">numeric_types.h</a></div><div class="ttdoc">Top-level include for all CUTLASS numeric types. </div></div>
<div class="ttc" id="namespacecutlass_1_1detail_html_a761bb4b7b448dbc213d537ef3ded340c"><div class="ttname"><a href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">cutlass::detail::relatively_equal_float</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal_float(T a, T b, T epsilon, T nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:51</div></div>
<div class="ttc" id="namespacecutlass_html_aa869ccb365e73fa0c00b272b8e64eef2"><div class="ttname"><a href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">cutlass::relatively_equal&lt; uint32_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint32_t &gt;(uint32_t a, uint32_t b, uint32_t, uint32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:124</div></div>
<div class="ttc" id="namespacecutlass_html_a9f5f21efb4b2490f8bf51a9eeee3e24f"><div class="ttname"><a href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">cutlass::relatively_equal&lt; int64_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int64_t &gt;(int64_t a, int64_t b, int64_t, int64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:130</div></div>
<div class="ttc" id="namespacecutlass_html_a630d3b4208f2c6fd8a5d2a6dcdd990aa"><div class="ttname"><a href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">cutlass::relatively_equal&lt; float &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; float &gt;(float a, float b, float epsilon, float nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:150</div></div>
<div class="ttc" id="namespacecutlass_html_a8f182001e54b8704d0cfc2e7b1456faf"><div class="ttname"><a href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">cutlass::relatively_equal&lt; uint64_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint64_t &gt;(uint64_t a, uint64_t b, uint64_t, uint64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:136</div></div>
<div class="ttc" id="namespacecutlass_html_ace93a25aa5f3ba5318465362cd5be2a1"><div class="ttname"><a href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">cutlass::relatively_equal&lt; uint4b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint4b_t &gt;(uint4b_t a, uint4b_t b, uint4b_t, uint4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:88</div></div>
<div class="ttc" id="namespacecutlass_html_af61f11e5381980cae375cf02893f102e"><div class="ttname"><a href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">cutlass::relatively_equal&lt; uint1b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint1b_t &gt;(uint1b_t a, uint1b_t b, uint1b_t, uint1b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:76</div></div>
<div class="ttc" id="namespacecutlass_html_a30f409bb0c8a88a3307e5c7cd31f2384"><div class="ttname"><a href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">cutlass::int4b_t</a></div><div class="ttdeci">integer_subbyte&lt; 4, true &gt; int4b_t</div><div class="ttdoc">4-bit Integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:155</div></div>
<div class="ttc" id="namespacecutlass_html_a26d02a5d1ffaf25731c3d6fb09ee1990"><div class="ttname"><a href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">cutlass::relatively_equal&lt; half_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; half_t &gt;(half_t a, half_t b, half_t epsilon, half_t nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:144</div></div>
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