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<div class="title">relatively_equal.h</div> </div>
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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> <span class="comment">/***************************************************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <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> <span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <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> <span class="comment"> * provided that the following conditions are met:</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <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> <span class="comment"> * conditions and the following disclaimer.</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <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> <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> <span class="comment"> * provided with the distribution.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <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> <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> <span class="comment"> * permission.</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> *</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <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> <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> <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> <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> <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> <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="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> *</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> **************************************************************************************************/</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">/* \file</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> \brief Performs comparison between two elements with support for floating-point comparisons.</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">*/</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="numeric__types_8h.html">numeric_types.h</a>"</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> </div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">namespace </span><a class="code" href="namespacecutlass.html">cutlass</a> {</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> </div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aebc97e25721b38692159a6d50d545fe0">relatively_equal</a>(T a, T b, T epsilon, T nonzero_floor);</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> </div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacecutlass_1_1detail.html"> 43</a></span> <span class="keyword">namespace </span>detail {</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// This floating-point comparison function implements the method described in</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">//</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// https://floating-point-gui.de/errors/comparison/</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">//</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c"> 51</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">relatively_equal_float</a>(T a, T b, T epsilon, T nonzero_floor) {</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  </div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">using</span> <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">std::abs</a>;</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> </div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  T abs_A = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(a);</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  T abs_B = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(b);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  T diff = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(a - b);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  T zero = T(0);</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">if</span> (a == b) {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (a == zero || b == zero || diff < nonzero_floor) {</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> diff < epsilon * nonzero_floor;</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">return</span> diff < epsilon * (abs_A + abs_B);</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> }</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> </div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> } <span class="comment">// namespace detail</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e"> 76</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">relatively_equal<uint1b_t></a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">uint1b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">uint1b_t</a> b, <a class="code" href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">uint1b_t</a>, <a class="code" href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">uint1b_t</a>) {</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> }</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797"> 82</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">relatively_equal<int4b_t></a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">int4b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">int4b_t</a> b, <a class="code" href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">int4b_t</a>, <a class="code" href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">int4b_t</a>) {</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> }</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1"> 88</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">relatively_equal<uint4b_t></a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">uint4b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">uint4b_t</a> b, <a class="code" href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">uint4b_t</a>, <a class="code" href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">uint4b_t</a>) {</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc"> 94</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc">relatively_equal<int8_t></a>(int8_t a, int8_t b, int8_t, int8_t) {</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> }</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879"> 100</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">relatively_equal<uint8_t></a>(uint8_t a, uint8_t b, uint8_t, uint8_t) {</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> }</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span> </div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab"> 106</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">relatively_equal<int16_t></a>(int16_t a, int16_t b, int16_t, int16_t) {</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> </div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f"> 112</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">relatively_equal<uint16_t></a>(uint16_t a, uint16_t b, uint16_t, uint16_t) {</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> }</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4"> 118</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">relatively_equal<int32_t></a>(int32_t a, int32_t b, int32_t, int32_t) {</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> }</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2"> 124</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">relatively_equal<uint32_t></a>(uint32_t a, uint32_t b, uint32_t, uint32_t) {</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> }</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f"> 130</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">relatively_equal<int64_t></a>(int64_t a, int64_t b, int64_t, int64_t) {</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span> }</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span> </div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf"> 136</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">relatively_equal<uint64_t></a>(uint64_t a, uint64_t b, uint64_t, uint64_t) {</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> }</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> </div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00144"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990"> 144</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">relatively_equal<half_t></a>(<a class="code" href="structcutlass_1_1half__t.html">half_t</a> a, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> b, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> epsilon, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> nonzero_floor) {</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span> }</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa"> 150</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">relatively_equal<float></a>(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b, <span class="keywordtype">float</span> epsilon, <span class="keywordtype">float</span> nonzero_floor) {</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> }</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">template</span> <></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f"> 157</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">relatively_equal<double></a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> epsilon, <span class="keywordtype">double</span> nonzero_floor) {</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span> }</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span> </div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span> } <span class="comment">// namespace cutlass</span></div><div class="ttc" id="namespacecutlass_html_a8ba332bb1c717a6d13c2ad9287cfe5cc"><div class="ttname"><a href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc">cutlass::relatively_equal< int8_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< int8_t >(int8_t a, int8_t b, int8_t, int8_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:94</div></div>
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<div class="ttc" id="namespacecutlass_html_ad5021c2735e27a869a571026bc9c6c7f"><div class="ttname"><a href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">cutlass::relatively_equal< double ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< double >(double a, double b, double epsilon, double nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:157</div></div>
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<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< 4, false > uint4b_t</div><div class="ttdoc">4-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:158</div></div>
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<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>
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<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< T > const &z)</div><div class="ttdoc">Returns the magnitude of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:313</div></div>
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<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< 1, false > uint1b_t</div><div class="ttdoc">1-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:152</div></div>
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<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>
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<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>
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<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>
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<div class="ttc" id="namespacecutlass_html_a301593d45e08bc8fa84a189261593879"><div class="ttname"><a href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">cutlass::relatively_equal< uint8_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint8_t >(uint8_t a, uint8_t b, uint8_t, uint8_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:100</div></div>
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<div class="ttc" id="namespacecutlass_html_ad7ce0f4e7abaf531c187dc535db935d4"><div class="ttname"><a href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">cutlass::relatively_equal< int32_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< int32_t >(int32_t a, int32_t b, int32_t, int32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:118</div></div>
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<div class="ttc" id="namespacecutlass_html_a1a6c0b9fec0db0628b085c1b3021eb0f"><div class="ttname"><a href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">cutlass::relatively_equal< uint16_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint16_t >(uint16_t a, uint16_t b, uint16_t, uint16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:112</div></div>
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<div class="ttc" id="namespacecutlass_html_af7c5c3f6da119eafdde3244d7cf56797"><div class="ttname"><a href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">cutlass::relatively_equal< int4b_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< int4b_t >(int4b_t a, int4b_t b, int4b_t, int4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:82</div></div>
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<div class="ttc" id="namespacecutlass_html_aec96b8d17c5dc5c274fac2a3f94aecab"><div class="ttname"><a href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">cutlass::relatively_equal< int16_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< int16_t >(int16_t a, int16_t b, int16_t, int16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:106</div></div>
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<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>
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<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>
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<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>
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<div class="ttc" id="namespacecutlass_html_aa869ccb365e73fa0c00b272b8e64eef2"><div class="ttname"><a href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">cutlass::relatively_equal< uint32_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint32_t >(uint32_t a, uint32_t b, uint32_t, uint32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:124</div></div>
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<div class="ttc" id="namespacecutlass_html_a9f5f21efb4b2490f8bf51a9eeee3e24f"><div class="ttname"><a href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">cutlass::relatively_equal< int64_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< int64_t >(int64_t a, int64_t b, int64_t, int64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:130</div></div>
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<div class="ttc" id="namespacecutlass_html_a630d3b4208f2c6fd8a5d2a6dcdd990aa"><div class="ttname"><a href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">cutlass::relatively_equal< float ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< float >(float a, float b, float epsilon, float nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:150</div></div>
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<div class="ttc" id="namespacecutlass_html_a8f182001e54b8704d0cfc2e7b1456faf"><div class="ttname"><a href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">cutlass::relatively_equal< uint64_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint64_t >(uint64_t a, uint64_t b, uint64_t, uint64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:136</div></div>
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<div class="ttc" id="namespacecutlass_html_ace93a25aa5f3ba5318465362cd5be2a1"><div class="ttname"><a href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">cutlass::relatively_equal< uint4b_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint4b_t >(uint4b_t a, uint4b_t b, uint4b_t, uint4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:88</div></div>
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<div class="ttc" id="namespacecutlass_html_af61f11e5381980cae375cf02893f102e"><div class="ttname"><a href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">cutlass::relatively_equal< uint1b_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< uint1b_t >(uint1b_t a, uint1b_t b, uint1b_t, uint1b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:76</div></div>
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<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< 4, true > int4b_t</div><div class="ttdoc">4-bit Integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:155</div></div>
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<div class="ttc" id="namespacecutlass_html_a26d02a5d1ffaf25731c3d6fb09ee1990"><div class="ttname"><a href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">cutlass::relatively_equal< half_t ></a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal< half_t >(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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