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<a href="forward__functions-inl_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"> * Licensed to the Apache Software Foundation (ASF) under one</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * or more contributor license agreements. See the NOTICE file</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * distributed with this work for additional information</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * regarding copyright ownership. The ASF licenses this file</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to you under the Apache License, Version 2.0 (the</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * &quot;License&quot;); you may not use this file except in compliance</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * with the License. You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> *</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * KIND, either express or implied. See the License for the</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * specific language governing permissions and limitations</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * under the License.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#ifndef MXNET_COMMON_CUDA_RTC_FORWARD_FUNCTIONS_INL_H_</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#define MXNET_COMMON_CUDA_RTC_FORWARD_FUNCTIONS_INL_H_</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="preprocessor">#if MXNET_USE_CUDA</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacemxnet.html">mxnet</a> {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="keyword">namespace </span>common {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="keyword">namespace </span>cuda {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="keyword">namespace </span>rtc {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a20082213a948bb3c665f08cab01520bc"> 30</a></span>&#160;<span class="keyword">const</span> <span class="keywordtype">char</span> <a class="code" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a20082213a948bb3c665f08cab01520bc">function_definitions_util</a>[] = R<span class="stringliteral">&quot;code(</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="stringliteral">#define INT_MAX (2147483647)</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="stringliteral">namespace op {</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="stringliteral">using type_util::mixed_type;</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="stringliteral">struct LoadType {</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="stringliteral"> using Type = DType;</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="stringliteral">};</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="stringliteral">template &lt;&gt;</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="stringliteral">struct LoadType&lt;half&gt; {</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="stringliteral"> using Type = float;</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="stringliteral">};</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type load(const DType input) {</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="stringliteral"> return input;</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="stringliteral">template &lt;&gt;</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="stringliteral">__device__ inline float load(const half input) {</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="stringliteral"> return __half2float(input);</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="stringliteral">template &lt;typename DType1, typename DType2&gt;</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="stringliteral">__device__ inline DType1 store(const DType2 input, DType1* ref) {</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="stringliteral"> return input;</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="stringliteral">__device__ inline half store(const DType input, half* ref) {</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="stringliteral"> return __float2half(input);</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="stringliteral">template &lt;int ndim&gt;</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="stringliteral">struct Shape {</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="stringliteral"> int x[ndim];</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="stringliteral"> size_t size;</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="stringliteral"> __device__ inline const int&amp; operator [](const int i) const {</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="stringliteral"> return x[i];</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="stringliteral"> __device__ inline int&amp; operator [](const int i) {</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="stringliteral"> return x[i];</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="stringliteral"> __device__ inline void set(const int def) {</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="stringliteral"> for (int i = 0; i &lt; ndim; i++) {</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="stringliteral"> x[i] = def;</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="stringliteral">};</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="stringliteral">template &lt;&gt;</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="stringliteral">struct Shape&lt;0&gt; {</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="stringliteral"> size_t size;</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="stringliteral">};</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="stringliteral">__device__ inline vector::VectorizedStorage&lt;DType, nvec&gt; load_index(const DType * input, int i,</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="stringliteral"> const Shape&lt;ndim&gt; &amp;shape) {</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="stringliteral"> using V = vector::VectorizedStorage&lt;DType, nvec&gt;;</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="stringliteral"> if (i &lt; shape.size) {</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="stringliteral"> const auto* vector_input = reinterpret_cast&lt;const typename V::LType *&gt;(input + i);</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="stringliteral"> return V(*vector_input);</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="stringliteral"> return V({0});</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="stringliteral">__device__ inline vector::VectorizedStorage&lt;DType, nvec&gt; global_load_index(const DType * input,</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="stringliteral"> int i, const Shape&lt;ndim&gt; &amp;shape) {</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="stringliteral"> using V = vector::VectorizedStorage&lt;DType, nvec&gt;;</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="stringliteral"> if (i &lt; shape.size) {</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="stringliteral"> const auto* vector_input = reinterpret_cast&lt;const typename V::LType *&gt;(input + i);</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="stringliteral"> return V(__ldg(vector_input));</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="stringliteral"> return V({0});</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="stringliteral">__device__ inline vector::VectorizedStorage&lt;DType, nvec&gt; load_slice(const DType * input,</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="stringliteral"> const Shape&lt;ndim&gt;&amp; shape,</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; begin,</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; end,</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;<span class="stringliteral"> int offset) {</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;<span class="stringliteral"> int idx[nvec];</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; ref_strides;</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; strides;</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;<span class="stringliteral"> ref_strides[ndim-1] = 1;</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="stringliteral"> strides[ndim-1] = 1;</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="stringliteral"> for (int dim = ndim-1; dim &gt;=0; dim--) {</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="stringliteral"> if (begin[dim] &lt; 0) begin[dim] = shape[dim] + begin[dim];</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="stringliteral"> if (end[dim] &lt; 0) end[dim] = shape[dim] + end[dim];</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="stringliteral"> if (end[dim] == INT_MAX) end[dim] = shape[dim];</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="stringliteral"> if (dim &gt; 0) {</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="stringliteral"> ref_strides[dim-1] = ref_strides[dim] * (end[dim] - begin[dim]);</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="stringliteral"> strides[dim-1] = strides[dim] * shape[dim];</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="stringliteral"> for (int j = 0; j &lt; nvec; j++) {</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="stringliteral"> idx[j] = 0;</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="stringliteral"> int ref_idx = offset + j;</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="stringliteral"> for (int dim = 0; dim &lt; ndim; dim++) {</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="stringliteral"> int stride = ref_strides[dim];</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="stringliteral"> if (shape[dim] &gt; 1) {</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="stringliteral"> idx[j] += (ref_idx / stride + begin[dim]) * strides[dim];</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="stringliteral"> ref_idx = ref_idx % stride;</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="stringliteral"> vector::VectorizedStorage&lt;DType, nvec&gt; ret;</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="stringliteral"> for (int j = 0; j &lt; nvec; j++) {</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="stringliteral"> ret.scratch_.separate[j] = idx[j] &lt; shape.size ? *(input + idx[j]) : DType {};</span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="stringliteral"> return ret;</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="stringliteral">__device__ inline vector::VectorizedStorage&lt;DType, nvec&gt; fast_load_slice(const DType * input,</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="stringliteral"> const Shape&lt;ndim&gt;&amp; shape,</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; begin,</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; end,</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="stringliteral"> int offset) {</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;<span class="stringliteral"> int idx = 0;</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; ref_strides;</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="stringliteral"> Shape&lt;ndim&gt; strides;</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="stringliteral"> ref_strides[ndim-1] = 1;</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="stringliteral"> strides[ndim-1] = 1;</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="stringliteral"> for (int dim = ndim-1; dim &gt;=0; dim--) {</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="stringliteral"> if (begin[dim] &lt; 0) begin[dim] = shape[dim] + begin[dim];</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="stringliteral"> if (end[dim] &lt; 0) end[dim] = shape[dim] + end[dim];</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="stringliteral"> if (end[dim] == INT_MAX) end[dim] = shape[dim];</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="stringliteral"> if (dim &gt; 0) {</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="stringliteral"> ref_strides[dim-1] = ref_strides[dim] * (end[dim] - begin[dim]);</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="stringliteral"> strides[dim-1] = strides[dim] * shape[dim];</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="stringliteral"> int ref_idx = offset;</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;<span class="stringliteral"> #pragma unroll</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;<span class="stringliteral"> for (int dim = 0; dim &lt; ndim; dim++) {</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;<span class="stringliteral"> int stride = ref_strides[dim];</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="stringliteral"> if (shape[dim] &gt; 1) {</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="stringliteral"> idx += (ref_idx / stride + begin[dim]) * strides[dim];</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="stringliteral"> ref_idx = ref_idx % stride;</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="stringliteral"> return global_load_index&lt;nvec&gt;(input, idx, shape);</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;<span class="stringliteral">__device__ inline void store_index(const vector::VectorizedStorage&lt;DType, nvec&gt; value, int i,</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="stringliteral"> DType * output, const Shape&lt;ndim&gt;&amp; shape) {</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="stringliteral"> if (i &lt; (shape.size + nvec - 1) / nvec) {</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;<span class="stringliteral"> auto vector_output = reinterpret_cast&lt;</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;<span class="stringliteral"> typename vector::VectorizedStorage&lt;DType, nvec&gt;::LType *&gt;(output);</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;<span class="stringliteral"> vector_output[i] = value.scratch_.aligned;</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="stringliteral">template &lt;int nvec, typename DType, int ndim&gt;</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="stringliteral">__device__ inline void store_add_index(const vector::VectorizedStorage&lt;DType, nvec&gt; value, int i,</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;<span class="stringliteral"> DType * output, const Shape&lt;ndim&gt;&amp; shape) {</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="stringliteral"> if (i &lt; (shape.size + nvec - 1) / nvec) {</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="stringliteral"> auto vector_output = reinterpret_cast&lt;</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;<span class="stringliteral"> typename vector::VectorizedStorage&lt;DType, nvec&gt;::LType *&gt;(output);</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="stringliteral"> vector::VectorizedStorage&lt;DType, nvec&gt; ret(vector_output[i]);</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="stringliteral"> ret += value;</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="stringliteral"> vector_output[i] = ret.scratch_.aligned;</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="stringliteral">} // namespace op</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="stringliteral">)code&quot;;</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#aba31fb45bdad7f3027d4343aa01c787a"> 216</a></span>&#160;<span class="stringliteral"></span><span class="keyword">const</span> <span class="keywordtype">char</span> <a class="code" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#aba31fb45bdad7f3027d4343aa01c787a">function_definitions_binary</a>[] = R<span class="stringliteral">&quot;code(</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="stringliteral">namespace op {</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="stringliteral">__device__ inline bool isnan(const DType val) {</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="stringliteral"> return util::isnan(val);</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="stringliteral">__device__ inline bool_t isinf(const DType val) {</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="stringliteral"> return util::isinf(val);</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;<span class="stringliteral">__device__ inline bool_t isposinf(const DType val) {</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;<span class="stringliteral"> return util::isinf(val) &amp;&amp; (val &gt; 0);</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;<span class="stringliteral">__device__ inline bool_t isneginf(const DType val) {</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="stringliteral"> return util::isinf(val) &amp;&amp; (val &lt; 0);</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="stringliteral">__device__ inline bool_t isfinite(const DType val) {</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="stringliteral"> return !op::isnan(val) &amp;&amp; !op::isinf(val);</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="stringliteral">add(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="stringliteral"> return a + b;</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<span class="stringliteral">sub(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;<span class="stringliteral"> return a - b;</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;<span class="stringliteral">rsub(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="stringliteral"> return b - a;</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;<span class="stringliteral">floor_divide(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType, DType2&gt;::value) {</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="stringliteral"> return ::floor((double)a / (double)b);</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="stringliteral"> return ::floorf((float)a / (float)b);</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="stringliteral">rfloor_divide(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType, DType2&gt;::value) {</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<span class="stringliteral"> return ::floor((double)b / (double)a);</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="stringliteral"> return ::floorf((float)b / (float)a);</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="stringliteral">mul(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="stringliteral"> return a * b;</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="stringliteral">div(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="stringliteral"> return a / b;</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="stringliteral">rdiv(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="stringliteral"> return b / a;</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160;<span class="stringliteral">#define DEFINE_BINARY_MATH_FUNC(name, double_version, float_version) \</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt; \</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; \</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="stringliteral">name (const DType a, const DType2 b) { \</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType, DType2&gt;::value) { \</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;<span class="stringliteral"> return double_version ((double)a, (double)b); \</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="stringliteral"> } else { \</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="stringliteral"> return float_version ((float)a, (float)b); \</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160;<span class="stringliteral"> } \</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="stringliteral">power (const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType, DType2&gt;::value) {</span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="stringliteral"> return ::pow ((double)a, (double)b); \</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;<span class="stringliteral"> return ::powf ((float)a, (float)b);</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="stringliteral">rpow(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160;<span class="stringliteral"> return power(b, a);</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160;<span class="stringliteral">max(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160;<span class="stringliteral"> if (isnan(a)) return a;</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;<span class="stringliteral"> return a &gt; b ? a : b;</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160;<span class="stringliteral">fmax(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;<span class="stringliteral"> if (isnan(b)) return a;</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;<span class="stringliteral"> return a &gt; b ? a : b;</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="stringliteral">min(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="stringliteral"> if (isnan(a)) return a;</span></div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="stringliteral"> return a &lt; b ? a : b;</span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="stringliteral">fmin(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="stringliteral"> if (isnan(b)) return a;</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<span class="stringliteral"> return a &lt; b ? a : b;</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="stringliteral">DEFINE_BINARY_MATH_FUNC(hypot, ::hypot, ::hypotf)</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="stringliteral">mod(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<span class="stringliteral"> if (b == 0) {</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160;<span class="stringliteral"> const double ad = static_cast&lt;double&gt;(a);</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160;<span class="stringliteral"> const double bd = static_cast&lt;double&gt;(b);</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;<span class="stringliteral"> if (bd &lt; 0) {</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;<span class="stringliteral"> if (ad &lt; 0) {</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;<span class="stringliteral"> return -::fmod(-ad, -bd);</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160;<span class="stringliteral"> return ::fmod(ad, -bd) +</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;<span class="stringliteral"> (::fmod(ad, -bd) != 0 ? bd : 0);</span></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;<span class="stringliteral"> if (ad &lt; 0) {</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="stringliteral"> return -::fmod(-ad, bd) +</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;<span class="stringliteral"> (::fmod(-ad, bd) != 0 ? bd : 0);</span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;<span class="stringliteral"> return ::fmod(ad, bd);</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;<span class="stringliteral">fmod(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160;<span class="stringliteral"> if (b == 0) {</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160;<span class="stringliteral"> return ::fmod(static_cast&lt;double&gt;(a), static_cast&lt;double&gt;(b));</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;<span class="stringliteral">rmod(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;<span class="stringliteral"> return op::mod(b, a);</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160;<span class="stringliteral">rfmod(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160;<span class="stringliteral"> return op::fmod(b, a);</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160;<span class="stringliteral">__device__ inline DType equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;<span class="stringliteral"> return real_a == real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="stringliteral">__device__ inline DType not_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160;<span class="stringliteral"> return real_a != real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;<span class="stringliteral">__device__ inline DType greater(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;<span class="stringliteral"> return real_a &gt; real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160;<span class="stringliteral">__device__ inline DType greater_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160;<span class="stringliteral"> return real_a &gt;= real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160;<span class="stringliteral">__device__ inline DType less(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160;<span class="stringliteral"> return real_a &lt; real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160;<span class="stringliteral">__device__ inline DType less_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160;<span class="stringliteral"> return real_a &lt;= real_b ? 1 : 0;</span></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;<span class="stringliteral">__device__ inline bool_t np_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160;<span class="stringliteral"> return real_a == real_b ? true : false;</span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;<span class="stringliteral">__device__ inline bool_t np_not_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;<span class="stringliteral"> return real_a != real_b ? true : false;</span></div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160;<span class="stringliteral">__device__ inline bool_t np_greater(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;<span class="stringliteral"> return real_a &gt; real_b ? true : false;</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;<span class="stringliteral">__device__ inline bool_t np_greater_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160;<span class="stringliteral"> return real_a &gt;= real_b ? true : false;</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160;<span class="stringliteral">__device__ inline bool_t np_less(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;<span class="stringliteral"> return real_a &lt; real_b ? true : false;</span></div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160;<span class="stringliteral">__device__ inline bool_t np_less_equal(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;<span class="stringliteral"> return real_a &lt;= real_b ? true : false;</span></div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;<span class="stringliteral">__device__ inline DType logical_and(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160;<span class="stringliteral"> return a &amp;&amp; b ? 1 : 0;</span></div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;<span class="stringliteral">__device__ inline DType logical_or(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160;<span class="stringliteral"> return a || b ? 1 : 0;</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160;<span class="stringliteral">__device__ inline DType logical_xor(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160;<span class="stringliteral"> return ((a || b) &amp;&amp; !(a &amp;&amp; b)) ? 1 : 0;</span></div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160;<span class="stringliteral">__device__ inline DType copysign(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160;<span class="stringliteral"> return (a &gt;= 0 &amp;&amp; b &gt;= 0) || (a &lt; 0 &amp;&amp; b &lt; 0) ? a : -a;</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160;<span class="stringliteral">__device__ inline DType2 rcopysign(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160;<span class="stringliteral"> return copysign(b, a);</span></div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160;<span class="stringliteral">lcm(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160;<span class="stringliteral"> if (type_util::is_integral&lt;DType&gt;::value &amp;&amp;</span></div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160;<span class="stringliteral"> type_util::is_integral&lt;DType2&gt;::value) {</span></div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160;<span class="stringliteral"> DType A = a;</span></div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160;<span class="stringliteral"> DType2 B = b;</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160;<span class="stringliteral"> // minus cases.</span></div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160;<span class="stringliteral"> if (a &lt; 0) {</span></div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160;<span class="stringliteral"> A = -a;</span></div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;<span class="stringliteral"> if (b &lt; 0) {</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="stringliteral"> B = -b;</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160;<span class="stringliteral"> // handle zero-valued cases.</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160;<span class="stringliteral"> DType c;</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160;<span class="stringliteral"> if (a == 0 || b == 0) {</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;<span class="stringliteral"> c = 0;</span></div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160;<span class="stringliteral"> DType tmp;</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;<span class="stringliteral"> DType tmp_a = A;</span></div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="stringliteral"> DType tmp_b = B;</span></div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160;<span class="stringliteral"> if (A &lt; B) {</span></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="stringliteral"> tmp = A;</span></div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;<span class="stringliteral"> A = B;</span></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160;<span class="stringliteral"> B = tmp;</span></div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;<span class="stringliteral"> while (A % B != 0) {</span></div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="stringliteral"> A = A % B;</span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;<span class="stringliteral"> tmp = A;</span></div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160;<span class="stringliteral"> A = B;</span></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;<span class="stringliteral"> B = tmp;</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160;<span class="stringliteral"> c = tmp_a / B * tmp_b;</span></div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160;<span class="stringliteral"> return c;</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;<span class="stringliteral">gcd(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160;<span class="stringliteral"> if (type_util::is_integral&lt;DType&gt;::value &amp;&amp;</span></div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160;<span class="stringliteral"> type_util::is_integral&lt;DType2&gt;::value) {</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>&#160;<span class="stringliteral"> DType A = a;</span></div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160;<span class="stringliteral"> DType2 B = b;</span></div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160;<span class="stringliteral"> // minus cases.</span></div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160;<span class="stringliteral"> if (a &lt; 0) {</span></div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>&#160;<span class="stringliteral"> A = -a;</span></div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160;<span class="stringliteral"> if (b &lt; 0) {</span></div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;<span class="stringliteral"> B = -b;</span></div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;<span class="stringliteral"> // handle zero-valued cases.</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="stringliteral"> DType c;</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;<span class="stringliteral"> if (a == 0 &amp;&amp; b != 0) {</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>&#160;<span class="stringliteral"> c = B;</span></div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;<span class="stringliteral"> } else if (b == 0 &amp;&amp; a != 0) {</span></div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160;<span class="stringliteral"> c = A;</span></div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;<span class="stringliteral"> } else if (a == 0 &amp;&amp; b == 0) {</span></div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>&#160;<span class="stringliteral"> c = 0;</span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="stringliteral"> DType tmp;</span></div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160;<span class="stringliteral"> if (A &lt; B) {</span></div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>&#160;<span class="stringliteral"> tmp = A;</span></div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;<span class="stringliteral"> A = B;</span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;<span class="stringliteral"> B = tmp;</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;<span class="stringliteral"> while (A % B != 0) {</span></div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>&#160;<span class="stringliteral"> A = A % B;</span></div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160;<span class="stringliteral"> tmp = A;</span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="stringliteral"> A = B;</span></div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;<span class="stringliteral"> B = tmp;</span></div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>&#160;<span class="stringliteral"> c = B;</span></div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="stringliteral"> return c;</span></div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; bitwise_xor(const DType a,</span></div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>&#160;<span class="stringliteral"> return real_a ^ real_b;</span></div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; bitwise_or(const DType a,</span></div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;<span class="stringliteral"> return real_a | real_b;</span></div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; bitwise_and(const DType a,</span></div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160;<span class="stringliteral"> return real_a &amp; real_b;</span></div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; bitwise_left_shift(const DType a,</span></div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160;<span class="stringliteral"> return real_a &lt;&lt; real_b;</span></div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; rbitwise_left_shift(const DType a,</span></div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;<span class="stringliteral"> return real_b &lt;&lt; real_a;</span></div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; bitwise_right_shift(const DType a,</span></div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160;<span class="stringliteral"> return real_a &gt;&gt; real_b;</span></div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt; rbitwise_right_shift(const DType a,</span></div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160;<span class="stringliteral"> const DType2 b) {</span></div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_a = a;</span></div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160;<span class="stringliteral"> const mixed_type&lt;DType, DType2&gt; real_b = b;</span></div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160;<span class="stringliteral"> return real_b &gt;&gt; real_a;</span></div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160;<span class="stringliteral">DEFINE_BINARY_MATH_FUNC(arctan2, ::atan2, ::atan2f)</span></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160;<span class="stringliteral">rarctan2(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160;<span class="stringliteral"> return arctan2(b, a);</span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160;<span class="stringliteral">ldexp(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType, DType2&gt;::value) {</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160;<span class="stringliteral"> return a * ::pow(2.0, static_cast&lt;double&gt;(b));</span></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160;<span class="stringliteral"> return a * ::powf(2.0f, static_cast&lt;float&gt;(b));</span></div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160;<span class="stringliteral">rldexp(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160;<span class="stringliteral"> return ldexp(b, a);</span></div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160;<span class="stringliteral">__device__ inline mixed_type&lt;DType, DType2&gt;</span></div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160;<span class="stringliteral">logaddexp(const DType a, const DType2 b) {</span></div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType, DType2&gt;::value) {</span></div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160;<span class="stringliteral"> return ::log(::exp(static_cast&lt;double&gt;(a)) + ::exp(static_cast&lt;double&gt;(b)));</span></div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160;<span class="stringliteral"> return ::log(::expf(static_cast&lt;float&gt;(a)) + ::expf(static_cast&lt;float&gt;(b)));</span></div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160;<span class="stringliteral">#undef DEFINE_BINARY_MATH_FUNC</span></div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160;<span class="stringliteral">__device__ inline bool np_logical_and(const DType val, const DType2 val2) {</span></div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160;<span class="stringliteral"> return (val &amp;&amp; val2) ? true : false;</span></div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160;<span class="stringliteral">__device__ inline bool np_logical_or(const DType val, const DType2 val2) {</span></div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>&#160;<span class="stringliteral"> return (val || val2) ? true : false;</span></div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>&#160;<span class="stringliteral">__device__ inline bool np_logical_xor(const DType val, const DType2 val2) {</span></div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;<span class="stringliteral"> return ((val || val2) &amp;&amp; !(val &amp;&amp; val2)) ? true : false;</span></div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160;<span class="stringliteral">__device__ inline DType left(const DType left_val, const DType2 right_val) {</span></div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160;<span class="stringliteral"> return left_val;</span></div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160;<span class="stringliteral">template &lt;typename DType, typename DType2&gt;</span></div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160;<span class="stringliteral">__device__ inline DType2 right(const DType left_val, const DType2 right_val) {</span></div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160;<span class="stringliteral"> return right_val;</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160;<span class="stringliteral">} // namespace op</span></div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160;<span class="stringliteral">)code&quot;;</span></div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00716"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a91b1a52fc8fe560cf5f56220d2ca218f"> 716</a></span>&#160;<span class="stringliteral"></span><span class="keyword">const</span> <span class="keywordtype">char</span> <a class="code" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a91b1a52fc8fe560cf5f56220d2ca218f">function_definitions_unary</a>[] = R<span class="stringliteral">&quot;code(</span></div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160;<span class="stringliteral">namespace op {</span></div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160;<span class="stringliteral">__device__ inline DType identity(const DType val) {</span></div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160;<span class="stringliteral">__device__ inline DType negation(const DType val) {</span></div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160;<span class="stringliteral"> return -val;</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160;<span class="stringliteral">template &lt;typename OutType, typename DType&gt;</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;OutType&gt;::Type cast(const DType val) {</span></div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>&#160;<span class="stringliteral"> return static_cast&lt;typename LoadType&lt;OutType&gt;::Type&gt;(val);</span></div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160;<span class="stringliteral">// activations</span></div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160;<span class="stringliteral">__device__ inline DType relu(const DType val) {</span></div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160;<span class="stringliteral"> return (isnan(val) || val &gt; 0) ? val : 0;</span></div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160;<span class="stringliteral">__device__ inline DType sigmoid(const DType val) {</span></div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>&#160;<span class="stringliteral"> return 1./(1 + ::exp(-val));</span></div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160;<span class="stringliteral"> return 1.f/(1 + expf(-val));</span></div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160;<span class="stringliteral">__device__ inline DType log_sigmoid(const DType val) {</span></div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160;<span class="stringliteral"> return ::log(1./(1 + ::exp(-val)));</span></div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>&#160;<span class="stringliteral"> return ::logf(1.f/(1 + expf(-val)));</span></div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160;<span class="stringliteral">__device__ inline DType softrelu(const DType val) {</span></div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160;<span class="stringliteral"> // Avoid overflow of exp for large inputs.</span></div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160;<span class="stringliteral"> // The threshold 20 is chosen such that softrelu(a) = a</span></div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160;<span class="stringliteral"> // for a &gt; 20 using floating precision.</span></div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160;<span class="stringliteral"> if (val &gt; 20) return val;</span></div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160;<span class="stringliteral"> return ::log(1 + ::exp(val));</span></div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160;<span class="stringliteral"> return logf(1 + expf(val));</span></div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160;<span class="stringliteral">__device__ inline DType softsign(const DType val) {</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160;<span class="stringliteral"> return val / (1 + fabs(val));</span></div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160;<span class="stringliteral"> return val / (1 + fabsf(val));</span></div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160;<span class="stringliteral">// exp and log</span></div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160;<span class="stringliteral">#define DEFINE_UNARY_MATH_FUNC(name, double_version, float_version) \</span></div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160;<span class="stringliteral">template &lt;typename DType&gt; \</span></div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160;<span class="stringliteral">__device__ inline DType name (const DType a) { \</span></div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) { \</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160;<span class="stringliteral"> return double_version ((double)a); \</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160;<span class="stringliteral"> } else { \</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160;<span class="stringliteral"> return float_version (a); \</span></div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160;<span class="stringliteral"> } \</span></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(exp, ::exp, ::expf)</span></div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(expm1, ::expm1, ::expm1f)</span></div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(log, ::log, ::logf)</span></div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(log10, ::log10, ::log10f)</span></div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(log2, ::log2, ::log2f)</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(log1p, ::log1p, ::log1pf)</span></div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160;<span class="stringliteral">// trigonometric</span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160;<span class="stringliteral">constexpr double pi = 3.14159265358979323846;</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160;<span class="stringliteral">__device__ inline DType degrees(const DType val) {</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;<span class="stringliteral"> return (val / pi) * 180;</span></div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160;<span class="stringliteral"> return (val / static_cast&lt;float&gt;(pi)) * 180.f;</span></div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160;<span class="stringliteral">__device__ inline DType radians(const DType val) {</span></div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160;<span class="stringliteral"> return (val / 180.0) * pi;</span></div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160;<span class="stringliteral"> return (val / 180.0f) * static_cast&lt;float&gt;(pi);</span></div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(sin, ::sin, ::sinf)</span></div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(cos, ::cos, ::cosf)</span></div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(tan, ::tan, ::tanf)</span></div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arcsin, ::asin, ::asinf)</span></div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arccos, ::acos, ::acosf)</span></div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arctan, ::atan, ::atanf)</span></div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(sinh, ::sinh, ::sinhf)</span></div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(cosh, ::cosh, ::coshf)</span></div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(tanh, ::tanh, ::tanhf)</span></div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arcsinh, ::asinh, ::asinhf)</span></div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arccosh, ::acosh, ::acoshf)</span></div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(arctanh, ::atanh, ::atanhf)</span></div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160;<span class="stringliteral">__device__ inline DType mish(const DType val) {</span></div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160;<span class="stringliteral"> return val * op::tanh(op::softrelu(val));</span></div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160;<span class="stringliteral">// sqrt</span></div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(sqrt, ::sqrt, ::sqrtf)</span></div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(rsqrt, ::rsqrt, ::rsqrtf)</span></div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(cbrt, ::cbrt, ::cbrtf)</span></div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(rcbrt, ::rcbrt, ::rcbrtf)</span></div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160;<span class="stringliteral">__device__ inline DType square(const DType val) {</span></div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160;<span class="stringliteral"> return val * val;</span></div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160;<span class="stringliteral">template &lt;typename DType, typename... DTypes&gt;</span></div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type zero(const DType val, const DTypes... args) {</span></div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type zero() {</span></div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160;<span class="stringliteral"> return 0;</span></div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160;<span class="stringliteral">template &lt;typename DType, typename... DTypes&gt;</span></div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type one(const DType val, const DTypes... args) {</span></div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160;<span class="stringliteral"> return 1;</span></div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type one() {</span></div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;<span class="stringliteral"> return 1;</span></div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160;<span class="stringliteral">template &lt;typename DType, typename... DTypes&gt;</span></div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type negone(const DType val, const DTypes... args) {</span></div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160;<span class="stringliteral"> return -1;</span></div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160;<span class="stringliteral">__device__ inline typename LoadType&lt;DType&gt;::Type negone() {</span></div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160;<span class="stringliteral"> return -1;</span></div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160;<span class="stringliteral">__device__ inline DType round(const DType val) {</span></div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160;<span class="stringliteral"> return ::round((double)val);</span></div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160;<span class="stringliteral"> } else if (type_util::is_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160;<span class="stringliteral"> return ::roundf(val);</span></div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;<span class="stringliteral">__device__ inline DType floor(const DType val) {</span></div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160;<span class="stringliteral"> return ::floor((double)val);</span></div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160;<span class="stringliteral"> } else if (type_util::is_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160;<span class="stringliteral"> return ::floorf(val);</span></div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;<span class="stringliteral">__device__ inline DType ceil(const DType val) {</span></div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160;<span class="stringliteral"> return ::ceil((double)val);</span></div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;<span class="stringliteral"> } else if (type_util::is_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160;<span class="stringliteral"> return ::ceilf(val);</span></div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160;<span class="stringliteral">__device__ inline DType rint(const DType val) {</span></div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160;<span class="stringliteral"> return ::rint((double)val);</span></div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160;<span class="stringliteral"> } else if (type_util::is_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160;<span class="stringliteral"> return ::rintf(val);</span></div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160;<span class="stringliteral">__device__ inline DType fix(const DType val) {</span></div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160;<span class="stringliteral"> const auto f = floor(val);</span></div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160;<span class="stringliteral"> const auto c = ceil(val);</span></div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160;<span class="stringliteral"> return (f &gt; 0 ? f : -f) &lt; (c &gt; 0 ? c : -c) ? f : c;</span></div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160;<span class="stringliteral">__device__ inline DType trunc(const DType val) {</span></div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160;<span class="stringliteral"> if (type_util::has_double&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160;<span class="stringliteral"> return ::trunc((double)val);</span></div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160;<span class="stringliteral"> } else if (type_util::is_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160;<span class="stringliteral"> return ::truncf(val);</span></div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160;<span class="stringliteral">__device__ inline DType clip(const DType val, const float a_min, const float a_max) {</span></div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160;<span class="stringliteral"> if (val &gt; a_max) {</span></div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160;<span class="stringliteral"> return a_max;</span></div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160;<span class="stringliteral"> } else if (val &lt; a_min) {</span></div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;<span class="stringliteral"> return a_min;</span></div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160;<span class="stringliteral"> return val;</span></div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160;<span class="stringliteral">__device__ inline DType sign(const DType val) {</span></div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;<span class="stringliteral"> if (val &lt; 0) return -1;</span></div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160;<span class="stringliteral"> return val &gt; 0 ? 1 : 0;</span></div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160;<span class="stringliteral">__device__ inline DType reciprocal(const DType val) {</span></div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160;<span class="stringliteral"> return 1.0f / val;</span></div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(abs, ::fabs, ::fabsf)</span></div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(gamma, ::tgamma, ::tgammaf)</span></div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(gammaln, ::lgamma, ::lgammaf)</span></div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(erf, ::erf, ::erff)</span></div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>&#160;<span class="stringliteral">DEFINE_UNARY_MATH_FUNC(erfinv, ::erfinv, ::erfinvf)</span></div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160;<span class="stringliteral">__device__ inline DType gelu_erf(const DType val) {</span></div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160;<span class="stringliteral"> return 0.5f * val * (1.0f + op::erf(val / op::sqrt(2.0f)));</span></div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00977"></a><span class="lineno"> 977</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160;<span class="stringliteral">template &lt;typename DType1, typename DType2&gt;</span></div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160;<span class="stringliteral">__device__ inline DType1 smooth_l1(const DType1 val, const DType2 scalar) {</span></div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160;<span class="stringliteral"> const auto bsq = scalar * scalar;</span></div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160;<span class="stringliteral"> const auto ibsq = 1.0f / bsq;</span></div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160;<span class="stringliteral"> if (val &gt; ibsq) {</span></div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>&#160;<span class="stringliteral"> return val - 0.5f * ibsq;</span></div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160;<span class="stringliteral"> } else if (val &lt; -ibsq) {</span></div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160;<span class="stringliteral"> return -val - 0.5f * ibsq;</span></div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160;<span class="stringliteral"> return 0.5f * val * val * bsq;</span></div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160;<span class="stringliteral">__device__ inline DType digamma(const DType val) {</span></div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>&#160;<span class="stringliteral"> if (type_util::has_double_or_integral&lt;DType&gt;::value) {</span></div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160;<span class="stringliteral"> return special_functions::cephes::psi&lt;double&gt;(val);</span></div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160;<span class="stringliteral"> return special_functions::cephes::psi&lt;float&gt;(val);</span></div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="stringliteral">__device__ inline DType logical_not(const DType val) {</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="stringliteral"> return val != DType(0) ? DType(0) : DType(1);</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="stringliteral">__device__ inline bool_t np_logical_not(const DType val) {</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="stringliteral"> return !static_cast&lt;bool&gt;(val);</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="stringliteral">__device__ inline bool_t NonZero(const DType val) {</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="stringliteral"> return val != 0;</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="stringliteral">#undef DEFINE_UNARY_MATH_FUNC</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="stringliteral">template &lt;typename DType&gt;</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="stringliteral">__device__ inline DType bitwise_not(const DType a) {</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;<span class="stringliteral"> if (type_util::is_same&lt;DType, bool_t&gt;::value) {</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="stringliteral"> return !a;</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;<span class="stringliteral"> } else {</span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;<span class="stringliteral"> return ~static_cast&lt;int64&gt;(a);</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;<span class="stringliteral"> }</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;<span class="stringliteral">}</span></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="stringliteral">} // namespace op</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;<span class="stringliteral">)code&quot;;</span></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;<span class="stringliteral"></span> </div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="stringliteral">} </span><span class="comment">// namespace rtc</span></div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;} <span class="comment">// namespace cuda</span></div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;} <span class="comment">// namespace common</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;} <span class="comment">// namespace mxnet</span></div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160; </div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="preprocessor">#endif // MXNET_USE_CUDA</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160; </div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="preprocessor">#endif // MXNET_COMMON_CUDA_RTC_FORWARD_FUNCTIONS_INL_H_</span></div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="anamespacemxnet_html"><div class="ttname"><a href="namespacemxnet.html">mxnet</a></div><div class="ttdoc">namespace of mxnet</div><div class="ttdef"><b>Definition:</b> api_registry.h:33</div></div>
<div class="ttc" id="anamespacemxnet_1_1common_1_1cuda_1_1rtc_html_a20082213a948bb3c665f08cab01520bc"><div class="ttname"><a href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a20082213a948bb3c665f08cab01520bc">mxnet::common::cuda::rtc::function_definitions_util</a></div><div class="ttdeci">const char function_definitions_util[]</div><div class="ttdef"><b>Definition:</b> forward_functions-inl.h:30</div></div>
<div class="ttc" id="anamespacemxnet_1_1common_1_1cuda_1_1rtc_html_aba31fb45bdad7f3027d4343aa01c787a"><div class="ttname"><a href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#aba31fb45bdad7f3027d4343aa01c787a">mxnet::common::cuda::rtc::function_definitions_binary</a></div><div class="ttdeci">const char function_definitions_binary[]</div><div class="ttdef"><b>Definition:</b> forward_functions-inl.h:216</div></div>
<div class="ttc" id="anamespacemxnet_1_1common_1_1cuda_1_1rtc_html_a91b1a52fc8fe560cf5f56220d2ca218f"><div class="ttname"><a href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a91b1a52fc8fe560cf5f56220d2ca218f">mxnet::common::cuda::rtc::function_definitions_unary</a></div><div class="ttdeci">const char function_definitions_unary[]</div><div class="ttdef"><b>Definition:</b> forward_functions-inl.h:716</div></div>
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