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| <a href="backward__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> <span class="comment">/*</span></div> |
| <div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <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> <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> <span class="comment"> * distributed with this work for additional information</span></div> |
| <div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <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> <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> <span class="comment"> * "License"); you may not use this file except in compliance</span></div> |
| <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * with the License. You may obtain a copy of the License at</span></div> |
| <div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * http://www.apache.org/licenses/LICENSE-2.0</span></div> |
| <div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * Unless required by applicable law or agreed to in writing,</span></div> |
| <div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * software distributed under the License is distributed on an</span></div> |
| <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div> |
| <div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <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> <span class="comment"> * specific language governing permissions and limitations</span></div> |
| <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * under the License.</span></div> |
| <div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div> |
| <div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#ifndef MXNET_COMMON_CUDA_RTC_BACKWARD_FUNCTIONS_INL_H_</span></div> |
| <div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#define MXNET_COMMON_CUDA_RTC_BACKWARD_FUNCTIONS_INL_H_</span></div> |
| <div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div> |
| <div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#if MXNET_USE_CUDA</span></div> |
| <div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div> |
| <div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <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> <span class="keyword">namespace </span>common {</div> |
| <div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda.html"> 27</a></span> <span class="keyword">namespace </span>cuda {</div> |
| <div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html"> 28</a></span> <span class="keyword">namespace </span>rtc {</div> |
| <div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  </div> |
| <div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#af9ebdc3671fe5eb11c4a5aec4cfecdbe"> 30</a></span> <span class="keyword">const</span> <span class="keywordtype">char</span> <a class="code" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#af9ebdc3671fe5eb11c4a5aec4cfecdbe">backward_function_definitions</a>[] = R<span class="stringliteral">"code(</span></div> |
| <div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="stringliteral">namespace op {</span></div> |
| <div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="stringliteral">backward_relu(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="stringliteral"> if (isnan(val)) return val;</span></div> |
| <div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="stringliteral"> return val > 0 ? grad : 0;</span></div> |
| <div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="stringliteral">backward_sigmoid(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="stringliteral"> return grad * val * (1 - val);</span></div> |
| <div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="stringliteral">backward_log_sigmoid(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="stringliteral"> return grad * (1 - op::exp(val));</span></div> |
| <div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="stringliteral">backward_softrelu(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="stringliteral"> return grad * sigmoid(v);</span></div> |
| <div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="stringliteral">backward_softsign(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="stringliteral"> const auto ap1 = 1 + op::abs(v);</span></div> |
| <div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="stringliteral"> return grad / (ap1 * ap1);</span></div> |
| <div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="stringliteral">backward_abs(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="stringliteral"> return grad * op::sign(v);</span></div> |
| <div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="stringliteral">backward_exp(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="stringliteral"> return grad * op::exp(v);</span></div> |
| <div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="stringliteral">backward_expm1(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="stringliteral"> return backward_exp(grad, val);</span></div> |
| <div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="stringliteral">backward_log(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="stringliteral"> return grad / val;</span></div> |
| <div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="stringliteral">backward_log10(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="stringliteral"> return grad / (val * op::log(static_cast<DTypeGrad>(10)));</span></div> |
| <div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="stringliteral">backward_log2(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="stringliteral"> return grad / (val * op::log(static_cast<DTypeGrad>(2)));</span></div> |
| <div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="stringliteral">backward_log1p(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="stringliteral"> return grad / (1 + val);</span></div> |
| <div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="stringliteral">backward_sin(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="stringliteral"> return grad * op::cos(v);</span></div> |
| <div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="stringliteral">backward_cos(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="stringliteral"> return -grad * op::sin(v);</span></div> |
| <div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="stringliteral">// Uses output from tan</span></div> |
| <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="stringliteral">backward_tan(const DTypeGrad grad, const DType out) {</span></div> |
| <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="stringliteral"> return grad * (out * out + 1);</span></div> |
| <div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="stringliteral">backward_arcsin(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="stringliteral"> return grad / op::sqrt(1 - v*v);</span></div> |
| <div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="stringliteral">backward_arccos(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="stringliteral"> return -grad / op::sqrt(1 - v*v);</span></div> |
| <div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="stringliteral">backward_arctan(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="stringliteral"> return grad / (1 + val*val);</span></div> |
| <div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="stringliteral">backward_degrees(const DTypeGrad grad, const DType /* val */) {</span></div> |
| <div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="stringliteral"> return op::degrees(grad);</span></div> |
| <div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="stringliteral">backward_radians(const DTypeGrad grad, const DType /* val */) {</span></div> |
| <div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="stringliteral"> return op::radians(grad);</span></div> |
| <div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="stringliteral">backward_sinh(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="stringliteral"> return grad * op::cosh(v);</span></div> |
| <div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="stringliteral">backward_cosh(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="stringliteral"> return grad * op::sinh(v);</span></div> |
| <div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="stringliteral">// Uses tanh output</span></div> |
| <div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="stringliteral">backward_tanh(const DTypeGrad grad, const DType out) {</span></div> |
| <div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="stringliteral"> return grad * (1 - out * out);</span></div> |
| <div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="stringliteral">backward_arcsinh(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="stringliteral"> return grad / op::sqrt(v * v + 1);</span></div> |
| <div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="stringliteral">backward_arccosh(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="stringliteral"> return grad / op::sqrt(v * v - 1);</span></div> |
| <div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="stringliteral">backward_arctanh(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="stringliteral"> return grad / (1 - val * val);</span></div> |
| <div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="stringliteral">backward_mish(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="stringliteral"> const auto softrelu = op::softrelu(val);</span></div> |
| <div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="stringliteral"> const auto tanh_sr = op::tanh(softrelu);</span></div> |
| <div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="stringliteral"> return grad * (tanh_sr + val * sigmoid(val) * (1 - tanh_sr * tanh_sr));</span></div> |
| <div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="stringliteral">backward_sqrt(const DTypeGrad grad, const DType out) {</span></div> |
| <div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="stringliteral"> return 0.5 * grad / out;</span></div> |
| <div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="stringliteral">backward_rsqrt(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="stringliteral"> const auto inv = 1 / v;</span></div> |
| <div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="stringliteral"> return -0.5 * grad * op::sqrt(inv) * inv;</span></div> |
| <div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="stringliteral">backward_cbrt(const DTypeGrad grad, const DType out) {</span></div> |
| <div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="stringliteral"> return grad / (3.0f * out * out);</span></div> |
| <div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="stringliteral">backward_rcbrt(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00237"></a><span class="lineno"> 237</span> <span class="stringliteral"> const mixed_type<DTypeGrad, DType> v = val;</span></div> |
| <div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="stringliteral"> const auto inv = 1 / v;</span></div> |
| <div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="stringliteral"> return -1.f/3.f * grad * op::cbrt(inv) * inv;</span></div> |
| <div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="stringliteral">backward_square(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="stringliteral"> return 2 * val * grad;</span></div> |
| <div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00248"></a><span class="lineno"> 248</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="stringliteral">__device__ inline DType div_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="stringliteral"> return -val / (val2 * val2);</span></div> |
| <div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="stringliteral">backward_clip(const DTypeGrad grad, const DType val,</span></div> |
| <div class="line"><a name="l00257"></a><span class="lineno"> 257</span> <span class="stringliteral"> const float a_min, const float a_max) {</span></div> |
| <div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="stringliteral"> if (val > a_max || val < a_min) {</span></div> |
| <div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="stringliteral"> return 0;</span></div> |
| <div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="stringliteral"> return grad;</span></div> |
| <div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="stringliteral">backward_reciprocal(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="stringliteral"> return -grad / (val * val);</span></div> |
| <div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="stringliteral">backward_erf(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="stringliteral"> using type = mixed_type<DTypeGrad, DType>;</span></div> |
| <div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="stringliteral"> const type v = val;</span></div> |
| <div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="stringliteral"> constexpr type my_pi = pi;</span></div> |
| <div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="stringliteral"> return 2.0f / op::sqrt(my_pi) * op::exp(-(v*v)) * grad;</span></div> |
| <div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="stringliteral">backward_erfinv(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <span class="stringliteral"> using type = mixed_type<DTypeGrad, DType>;</span></div> |
| <div class="line"><a name="l00284"></a><span class="lineno"> 284</span> <span class="stringliteral"> constexpr type my_pi = pi;</span></div> |
| <div class="line"><a name="l00285"></a><span class="lineno"> 285</span> <span class="stringliteral"> const type g = grad;</span></div> |
| <div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="stringliteral"> const type v = val;</span></div> |
| <div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="stringliteral"> return 0.5f * op::sqrt(my_pi) * op::exp(v * v) * g;</span></div> |
| <div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="stringliteral">backward_gamma(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="stringliteral"> using type = mixed_type<DTypeGrad, DType>;</span></div> |
| <div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="stringliteral"> const type v = val;</span></div> |
| <div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="stringliteral"> if (type_util::is_same<DTypeGrad, double>::value) {</span></div> |
| <div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="stringliteral"> return grad * op::gamma(v) * op::special_functions::cephes::psi<double>(v);</span></div> |
| <div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="stringliteral"> return grad * op::gamma(v) * op::special_functions::cephes::psi<float>(v);</span></div> |
| <div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="stringliteral">backward_gammaln(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="stringliteral"> using type = mixed_type<DTypeGrad, DType>;</span></div> |
| <div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="stringliteral"> const type v = val;</span></div> |
| <div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="stringliteral"> if (type_util::is_same<DTypeGrad, double>::value) {</span></div> |
| <div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="stringliteral"> return grad * op::special_functions::cephes::psi<double>(v);</span></div> |
| <div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="stringliteral"> return grad * op::special_functions::cephes::psi<float>(v);</span></div> |
| <div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="stringliteral">backward_digamma(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="stringliteral"> using type = mixed_type<DTypeGrad, DType>;</span></div> |
| <div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="stringliteral"> const type v = val;</span></div> |
| <div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="stringliteral"> if (type_util::is_same<DTypeGrad, double>::value) {</span></div> |
| <div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="stringliteral"> return grad * op::special_functions::trigamma<double>(v);</span></div> |
| <div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="stringliteral"> return grad * op::special_functions::trigamma<float>(v);</span></div> |
| <div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="stringliteral">template <typename DType, typename DTypeGrad></span></div> |
| <div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <span class="stringliteral">__device__ inline mixed_type<DTypeGrad, DType></span></div> |
| <div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="stringliteral">backward_gelu_erf(const DTypeGrad grad, const DType val) {</span></div> |
| <div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="stringliteral"> return 0.5f * (grad + grad * op::erf(val / op::sqrt(2.0f)) +</span></div> |
| <div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="stringliteral"> val * backward_erf(grad, val / op::sqrt(2.0f)) / op::sqrt(2.0f));</span></div> |
| <div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="stringliteral">} // namespace op</span></div> |
| <div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="stringliteral">)code";</span></div> |
| <div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00337"></a><span class="lineno"><a class="line" href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a05143a27c092d6956c91fd2220136eed"> 337</a></span> <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#a05143a27c092d6956c91fd2220136eed">grad_function_definitions</a>[] = R<span class="stringliteral">"code(</span></div> |
| <div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="stringliteral">namespace op {</span></div> |
| <div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="stringliteral">rdiv_grad(const DType val,</span></div> |
| <div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="stringliteral"> return -val2 / (val * val);</span></div> |
| <div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="stringliteral">div_grad(const DType val,</span></div> |
| <div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="stringliteral"> const mixed_type<DType, DType2> temp = val2;</span></div> |
| <div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="stringliteral"> return op::reciprocal(temp);</span></div> |
| <div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="stringliteral">__device__ inline DType mod_grad(const DType val,</span></div> |
| <div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="stringliteral"> if (type_util::is_integral<DType>::value) {</span></div> |
| <div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="stringliteral"> return 0;</span></div> |
| <div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="stringliteral"> return 1;</span></div> |
| <div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="stringliteral">__device__ inline DType mod_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="stringliteral"> if (type_util::is_integral<DType>::value) {</span></div> |
| <div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="stringliteral"> return 0;</span></div> |
| <div class="line"><a name="l00370"></a><span class="lineno"> 370</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="stringliteral"> return -op::floor(val / val2);</span></div> |
| <div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="stringliteral">__device__ inline DType rmod_grad(const DType val,</span></div> |
| <div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="stringliteral"> if (type_util::is_integral<DType>::value) {</span></div> |
| <div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="stringliteral"> return 0;</span></div> |
| <div class="line"><a name="l00380"></a><span class="lineno"> 380</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00381"></a><span class="lineno"> 381</span> <span class="stringliteral"> return -op::floor(val2 / val);</span></div> |
| <div class="line"><a name="l00382"></a><span class="lineno"> 382</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00383"></a><span class="lineno"> 383</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00384"></a><span class="lineno"> 384</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00385"></a><span class="lineno"> 385</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00386"></a><span class="lineno"> 386</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00387"></a><span class="lineno"> 387</span> <span class="stringliteral">power_grad(const DType val,</span></div> |
| <div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="stringliteral"> return op::power(val, val2 - 1.f) * val2;</span></div> |
| <div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="stringliteral">power_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="stringliteral"> const mixed_type<DType, DType2> temp = val;</span></div> |
| <div class="line"><a name="l00397"></a><span class="lineno"> 397</span> <span class="stringliteral"> return op::power(val, val2) * op::log(temp);</span></div> |
| <div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="stringliteral">rpower_grad(const DType val,</span></div> |
| <div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="stringliteral"> const mixed_type<DType, DType2> temp = val2;</span></div> |
| <div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="stringliteral"> return val * op::log(temp);</span></div> |
| <div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00407"></a><span class="lineno"> 407</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00408"></a><span class="lineno"> 408</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00409"></a><span class="lineno"> 409</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00410"></a><span class="lineno"> 410</span> <span class="stringliteral">hypot_grad_left(const DType val,</span></div> |
| <div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00412"></a><span class="lineno"> 412</span> <span class="stringliteral"> return val / op::hypot(val, val2);</span></div> |
| <div class="line"><a name="l00413"></a><span class="lineno"> 413</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00414"></a><span class="lineno"> 414</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="stringliteral">hypot_grad_right(const DType val,</span></div> |
| <div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="stringliteral"> return val2 / op::hypot(val, val2);</span></div> |
| <div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00421"></a><span class="lineno"> 421</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00422"></a><span class="lineno"> 422</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00423"></a><span class="lineno"> 423</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00424"></a><span class="lineno"> 424</span> <span class="stringliteral">copysign_grad(const DType val,</span></div> |
| <div class="line"><a name="l00425"></a><span class="lineno"> 425</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00426"></a><span class="lineno"> 426</span> <span class="stringliteral"> return (val >= 0 && val2 >= 0) || (val < 0 && val2 < 0) ? 1 : -1;</span></div> |
| <div class="line"><a name="l00427"></a><span class="lineno"> 427</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00428"></a><span class="lineno"> 428</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00429"></a><span class="lineno"> 429</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00430"></a><span class="lineno"> 430</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00431"></a><span class="lineno"> 431</span> <span class="stringliteral">bitwise_left_shift_grad(const DType val,</span></div> |
| <div class="line"><a name="l00432"></a><span class="lineno"> 432</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00433"></a><span class="lineno"> 433</span> <span class="stringliteral"> return op::power(static_cast<DType>(2), val2);</span></div> |
| <div class="line"><a name="l00434"></a><span class="lineno"> 434</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00435"></a><span class="lineno"> 435</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00436"></a><span class="lineno"> 436</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00437"></a><span class="lineno"> 437</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00438"></a><span class="lineno"> 438</span> <span class="stringliteral">bitwise_left_shift_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00439"></a><span class="lineno"> 439</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00440"></a><span class="lineno"> 440</span> <span class="stringliteral"> using type = mixed_type<DType, DType2>;</span></div> |
| <div class="line"><a name="l00441"></a><span class="lineno"> 441</span> <span class="stringliteral"> return val * op::power(static_cast<DType>(2), val2) * op::log(static_cast<type>(2));</span></div> |
| <div class="line"><a name="l00442"></a><span class="lineno"> 442</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00443"></a><span class="lineno"> 443</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00444"></a><span class="lineno"> 444</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00445"></a><span class="lineno"> 445</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00446"></a><span class="lineno"> 446</span> <span class="stringliteral">rbitwise_left_shift_grad(const DType val,</span></div> |
| <div class="line"><a name="l00447"></a><span class="lineno"> 447</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00448"></a><span class="lineno"> 448</span> <span class="stringliteral"> using type = mixed_type<DType, DType2>;</span></div> |
| <div class="line"><a name="l00449"></a><span class="lineno"> 449</span> <span class="stringliteral"> return val2 * op::power(static_cast<DType>(2), val) * op::log(static_cast<type>(2));</span></div> |
| <div class="line"><a name="l00450"></a><span class="lineno"> 450</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00451"></a><span class="lineno"> 451</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00452"></a><span class="lineno"> 452</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00453"></a><span class="lineno"> 453</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00454"></a><span class="lineno"> 454</span> <span class="stringliteral">bitwise_right_shift_grad(const DType val,</span></div> |
| <div class="line"><a name="l00455"></a><span class="lineno"> 455</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00456"></a><span class="lineno"> 456</span> <span class="stringliteral"> return op::power(0.5f, val2);</span></div> |
| <div class="line"><a name="l00457"></a><span class="lineno"> 457</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00458"></a><span class="lineno"> 458</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00459"></a><span class="lineno"> 459</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00460"></a><span class="lineno"> 460</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00461"></a><span class="lineno"> 461</span> <span class="stringliteral">bitwise_right_shift_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00462"></a><span class="lineno"> 462</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00463"></a><span class="lineno"> 463</span> <span class="stringliteral"> return val * op::power(0.5f, val2) * op::log(0.5f);</span></div> |
| <div class="line"><a name="l00464"></a><span class="lineno"> 464</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00465"></a><span class="lineno"> 465</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00466"></a><span class="lineno"> 466</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00467"></a><span class="lineno"> 467</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00468"></a><span class="lineno"> 468</span> <span class="stringliteral">rbitwise_right_shift_grad(const DType val,</span></div> |
| <div class="line"><a name="l00469"></a><span class="lineno"> 469</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00470"></a><span class="lineno"> 470</span> <span class="stringliteral"> return val2 * op::power(0.5f, val) * op::log(0.5f);</span></div> |
| <div class="line"><a name="l00471"></a><span class="lineno"> 471</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00472"></a><span class="lineno"> 472</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00473"></a><span class="lineno"> 473</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00474"></a><span class="lineno"> 474</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00475"></a><span class="lineno"> 475</span> <span class="stringliteral">arctan2_grad(const DType val,</span></div> |
| <div class="line"><a name="l00476"></a><span class="lineno"> 476</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00477"></a><span class="lineno"> 477</span> <span class="stringliteral"> return val2 / (val * val + val2 * val2);</span></div> |
| <div class="line"><a name="l00478"></a><span class="lineno"> 478</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00479"></a><span class="lineno"> 479</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00480"></a><span class="lineno"> 480</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00481"></a><span class="lineno"> 481</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00482"></a><span class="lineno"> 482</span> <span class="stringliteral">rarctan2_grad(const DType val,</span></div> |
| <div class="line"><a name="l00483"></a><span class="lineno"> 483</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00484"></a><span class="lineno"> 484</span> <span class="stringliteral"> return val / (val * val + val2 * val2);</span></div> |
| <div class="line"><a name="l00485"></a><span class="lineno"> 485</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00486"></a><span class="lineno"> 486</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00487"></a><span class="lineno"> 487</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00488"></a><span class="lineno"> 488</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00489"></a><span class="lineno"> 489</span> <span class="stringliteral">arctan2_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00490"></a><span class="lineno"> 490</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00491"></a><span class="lineno"> 491</span> <span class="stringliteral"> return -rarctan2_grad(val, val2);</span></div> |
| <div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00494"></a><span class="lineno"> 494</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00495"></a><span class="lineno"> 495</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00496"></a><span class="lineno"> 496</span> <span class="stringliteral">ldexp_grad(const DType val,</span></div> |
| <div class="line"><a name="l00497"></a><span class="lineno"> 497</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00498"></a><span class="lineno"> 498</span> <span class="stringliteral"> return op::power(static_cast<DType>(2), val2);</span></div> |
| <div class="line"><a name="l00499"></a><span class="lineno"> 499</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00500"></a><span class="lineno"> 500</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00501"></a><span class="lineno"> 501</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00502"></a><span class="lineno"> 502</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00503"></a><span class="lineno"> 503</span> <span class="stringliteral">rldexp_grad(const DType val,</span></div> |
| <div class="line"><a name="l00504"></a><span class="lineno"> 504</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00505"></a><span class="lineno"> 505</span> <span class="stringliteral"> using type = mixed_type<DType, DType2>;</span></div> |
| <div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="stringliteral"> return val2 * op::power(static_cast<type>(2), val) * op::log(static_cast<type>(2));</span></div> |
| <div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="stringliteral">logaddexp_grad(const DType val,</span></div> |
| <div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="stringliteral"> return op::exp(val) / (op::exp(val) + op::exp(val2));</span></div> |
| <div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00516"></a><span class="lineno"> 516</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <span class="stringliteral">__device__ inline mixed_type<DType, DType2></span></div> |
| <div class="line"><a name="l00518"></a><span class="lineno"> 518</span> <span class="stringliteral">logaddexp_rgrad(const DType val,</span></div> |
| <div class="line"><a name="l00519"></a><span class="lineno"> 519</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00520"></a><span class="lineno"> 520</span> <span class="stringliteral"> return op::exp(val2) / (op::exp(val) + op::exp(val2));</span></div> |
| <div class="line"><a name="l00521"></a><span class="lineno"> 521</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00522"></a><span class="lineno"> 522</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00523"></a><span class="lineno"> 523</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00524"></a><span class="lineno"> 524</span> <span class="stringliteral">__device__ inline DType smooth_l1_grad(const DType val, const DType2 scalar) {</span></div> |
| <div class="line"><a name="l00525"></a><span class="lineno"> 525</span> <span class="stringliteral"> auto bsq = scalar * scalar;</span></div> |
| <div class="line"><a name="l00526"></a><span class="lineno"> 526</span> <span class="stringliteral"> auto ibsq = 1.0f / bsq;</span></div> |
| <div class="line"><a name="l00527"></a><span class="lineno"> 527</span> <span class="stringliteral"> if (val > ibsq) {</span></div> |
| <div class="line"><a name="l00528"></a><span class="lineno"> 528</span> <span class="stringliteral"> return 1;</span></div> |
| <div class="line"><a name="l00529"></a><span class="lineno"> 529</span> <span class="stringliteral"> } else if (val < -ibsq) {</span></div> |
| <div class="line"><a name="l00530"></a><span class="lineno"> 530</span> <span class="stringliteral"> return -1;</span></div> |
| <div class="line"><a name="l00531"></a><span class="lineno"> 531</span> <span class="stringliteral"> } else {</span></div> |
| <div class="line"><a name="l00532"></a><span class="lineno"> 532</span> <span class="stringliteral"> return bsq * val;</span></div> |
| <div class="line"><a name="l00533"></a><span class="lineno"> 533</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00534"></a><span class="lineno"> 534</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00535"></a><span class="lineno"> 535</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00536"></a><span class="lineno"> 536</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00537"></a><span class="lineno"> 537</span> <span class="stringliteral">__device__ inline DType2 xelu_grad(const DType val,</span></div> |
| <div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00539"></a><span class="lineno"> 539</span> <span class="stringliteral"> return (val > 0) ? 1 : val2;</span></div> |
| <div class="line"><a name="l00540"></a><span class="lineno"> 540</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00541"></a><span class="lineno"> 541</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00542"></a><span class="lineno"> 542</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00543"></a><span class="lineno"> 543</span> <span class="stringliteral">__device__ inline DType prelu_grad(const DType val,</span></div> |
| <div class="line"><a name="l00544"></a><span class="lineno"> 544</span> <span class="stringliteral"> const DType2 val2) {</span></div> |
| <div class="line"><a name="l00545"></a><span class="lineno"> 545</span> <span class="stringliteral"> return (val > 0) ? 0 : val;</span></div> |
| <div class="line"><a name="l00546"></a><span class="lineno"> 546</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00547"></a><span class="lineno"> 547</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00548"></a><span class="lineno"> 548</span> <span class="stringliteral">template <typename DType, typename DType2></span></div> |
| <div class="line"><a name="l00549"></a><span class="lineno"> 549</span> <span class="stringliteral">__device__ inline mixed_type<DType2, DType></span></div> |
| <div class="line"><a name="l00550"></a><span class="lineno"> 550</span> <span class="stringliteral">gamma_implicit_grad(const DType a_in, const DType2 x_in) {</span></div> |
| <div class="line"><a name="l00551"></a><span class="lineno"> 551</span> <span class="stringliteral"> using OType = mixed_type<DType2, DType>;</span></div> |
| <div class="line"><a name="l00552"></a><span class="lineno"> 552</span> <span class="stringliteral"> const OType a = a_in;</span></div> |
| <div class="line"><a name="l00553"></a><span class="lineno"> 553</span> <span class="stringliteral"> const OType x = x_in;</span></div> |
| <div class="line"><a name="l00554"></a><span class="lineno"> 554</span> <span class="stringliteral"> if (x < 0.8f) {</span></div> |
| <div class="line"><a name="l00555"></a><span class="lineno"> 555</span> <span class="stringliteral"> OType numer = 1;</span></div> |
| <div class="line"><a name="l00556"></a><span class="lineno"> 556</span> <span class="stringliteral"> OType denom = a;</span></div> |
| <div class="line"><a name="l00557"></a><span class="lineno"> 557</span> <span class="stringliteral"> OType series1 = numer / denom;</span></div> |
| <div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="stringliteral"> OType series2 = numer / (denom * denom);</span></div> |
| <div class="line"><a name="l00559"></a><span class="lineno"> 559</span> <span class="stringliteral">#pragma unroll</span></div> |
| <div class="line"><a name="l00560"></a><span class="lineno"> 560</span> <span class="stringliteral"> for (int i = 1; i <= 5; i++) {</span></div> |
| <div class="line"><a name="l00561"></a><span class="lineno"> 561</span> <span class="stringliteral"> numer *= -x / static_cast<DType>(i);</span></div> |
| <div class="line"><a name="l00562"></a><span class="lineno"> 562</span> <span class="stringliteral"> denom += 1;</span></div> |
| <div class="line"><a name="l00563"></a><span class="lineno"> 563</span> <span class="stringliteral"> series1 += numer / denom;</span></div> |
| <div class="line"><a name="l00564"></a><span class="lineno"> 564</span> <span class="stringliteral"> series2 += numer / (denom * denom);</span></div> |
| <div class="line"><a name="l00565"></a><span class="lineno"> 565</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00566"></a><span class="lineno"> 566</span> <span class="stringliteral"> OType pow_x_alpha = op::power(x, a);</span></div> |
| <div class="line"><a name="l00567"></a><span class="lineno"> 567</span> <span class="stringliteral"> OType gamma_pdf = op::power(x, a - 1) * op::exp(-x);</span></div> |
| <div class="line"><a name="l00568"></a><span class="lineno"> 568</span> <span class="stringliteral"> OType gamma_cdf = pow_x_alpha * series1;</span></div> |
| <div class="line"><a name="l00569"></a><span class="lineno"> 569</span> <span class="stringliteral"> OType gamma_cdf_alpha =</span></div> |
| <div class="line"><a name="l00570"></a><span class="lineno"> 570</span> <span class="stringliteral"> (op::log(x) - OType(special_functions::cephes::psi<float>(a))) *</span></div> |
| <div class="line"><a name="l00571"></a><span class="lineno"> 571</span> <span class="stringliteral"> gamma_cdf -</span></div> |
| <div class="line"><a name="l00572"></a><span class="lineno"> 572</span> <span class="stringliteral"> pow_x_alpha * series2;</span></div> |
| <div class="line"><a name="l00573"></a><span class="lineno"> 573</span> <span class="stringliteral"> OType result = -gamma_cdf_alpha / gamma_pdf;</span></div> |
| <div class="line"><a name="l00574"></a><span class="lineno"> 574</span> <span class="stringliteral"> return op::isnan(result) ? 0.f : result;</span></div> |
| <div class="line"><a name="l00575"></a><span class="lineno"> 575</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00576"></a><span class="lineno"> 576</span> <span class="stringliteral"> if (a > 8.0f) {</span></div> |
| <div class="line"><a name="l00577"></a><span class="lineno"> 577</span> <span class="stringliteral"> if (0.9f * a <= x && x <= 1.1f * a) {</span></div> |
| <div class="line"><a name="l00578"></a><span class="lineno"> 578</span> <span class="stringliteral"> OType numer_1 = 1 + 24 * a * (1 + 12 * a);</span></div> |
| <div class="line"><a name="l00579"></a><span class="lineno"> 579</span> <span class="stringliteral"> OType numer_2 = 1440 * (a * a) + 6 * x * (53 - 120 * x) -</span></div> |
| <div class="line"><a name="l00580"></a><span class="lineno"> 580</span> <span class="stringliteral"> 65 * x * x / a + a * (107 + 3600 * x);</span></div> |
| <div class="line"><a name="l00581"></a><span class="lineno"> 581</span> <span class="stringliteral"> OType denom = 1244160 * (a * a) * (a * a);</span></div> |
| <div class="line"><a name="l00582"></a><span class="lineno"> 582</span> <span class="stringliteral"> return numer_1 * numer_2 / denom;</span></div> |
| <div class="line"><a name="l00583"></a><span class="lineno"> 583</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00584"></a><span class="lineno"> 584</span> <span class="stringliteral"> OType denom = op::sqrt(8 * a);</span></div> |
| <div class="line"><a name="l00585"></a><span class="lineno"> 585</span> <span class="stringliteral"> OType term2 = denom / (a - x);</span></div> |
| <div class="line"><a name="l00586"></a><span class="lineno"> 586</span> <span class="stringliteral"> OType term3 =</span></div> |
| <div class="line"><a name="l00587"></a><span class="lineno"> 587</span> <span class="stringliteral"> op::power(x - a - a * op::log(x / a), static_cast<OType>(-1.5));</span></div> |
| <div class="line"><a name="l00588"></a><span class="lineno"> 588</span> <span class="stringliteral"> OType term23 = (x < a) ? term2 - term3 : term2 + term3;</span></div> |
| <div class="line"><a name="l00589"></a><span class="lineno"> 589</span> <span class="stringliteral"> OType term1 = op::log(x / a) * term23 -</span></div> |
| <div class="line"><a name="l00590"></a><span class="lineno"> 590</span> <span class="stringliteral"> op::sqrt(2 / a) * (a + x) / ((a - x) * (a - x));</span></div> |
| <div class="line"><a name="l00591"></a><span class="lineno"> 591</span> <span class="stringliteral"> OType stirling = 1.f + 1.f / (12.f * a) * (1.f + 1.f / (24.f * a));</span></div> |
| <div class="line"><a name="l00592"></a><span class="lineno"> 592</span> <span class="stringliteral"> OType numer = x * term1;</span></div> |
| <div class="line"><a name="l00593"></a><span class="lineno"> 593</span> <span class="stringliteral"> return -stirling * numer / denom;</span></div> |
| <div class="line"><a name="l00594"></a><span class="lineno"> 594</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00595"></a><span class="lineno"> 595</span> <span class="stringliteral"> OType u = op::log(x / a);</span></div> |
| <div class="line"><a name="l00596"></a><span class="lineno"> 596</span> <span class="stringliteral"> OType v = op::log(a);</span></div> |
| <div class="line"><a name="l00597"></a><span class="lineno"> 597</span> <span class="stringliteral"> OType coef_uv[3][8] = {</span></div> |
| <div class="line"><a name="l00598"></a><span class="lineno"> 598</span> <span class="stringliteral"> {0.16009398, -0.094634809, 0.025146376, -0.0030648343, 1, 0.32668115,</span></div> |
| <div class="line"><a name="l00599"></a><span class="lineno"> 599</span> <span class="stringliteral"> 0.10406089, 0.0014179084},</span></div> |
| <div class="line"><a name="l00600"></a><span class="lineno"> 600</span> <span class="stringliteral"> {0.53487893, 0.1298071, 0.065735949, -0.0015649758, 0.16639465,</span></div> |
| <div class="line"><a name="l00601"></a><span class="lineno"> 601</span> <span class="stringliteral"> 0.020070113, -0.0035938915, -0.00058392623},</span></div> |
| <div class="line"><a name="l00602"></a><span class="lineno"> 602</span> <span class="stringliteral"> {0.040121004, -0.0065914022, -0.0026286047, -0.0013441777, 0.017050642,</span></div> |
| <div class="line"><a name="l00603"></a><span class="lineno"> 603</span> <span class="stringliteral"> -0.0021309326, 0.00085092367, -1.5247877e-07},</span></div> |
| <div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="stringliteral"> };</span></div> |
| <div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="stringliteral"> OType coef_v[8];</span></div> |
| <div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="stringliteral">#pragma unroll</span></div> |
| <div class="line"><a name="l00607"></a><span class="lineno"> 607</span> <span class="stringliteral"> for (int i = 0; i < 8; i++) {</span></div> |
| <div class="line"><a name="l00608"></a><span class="lineno"> 608</span> <span class="stringliteral"> coef_v[i] = coef_uv[0][i] + u * (coef_uv[1][i] + u * coef_uv[2][i]);</span></div> |
| <div class="line"><a name="l00609"></a><span class="lineno"> 609</span> <span class="stringliteral"> }</span></div> |
| <div class="line"><a name="l00610"></a><span class="lineno"> 610</span> <span class="stringliteral"> OType p = coef_v[0] + v * (coef_v[1] + v * (coef_v[2] + v * coef_v[3]));</span></div> |
| <div class="line"><a name="l00611"></a><span class="lineno"> 611</span> <span class="stringliteral"> OType q = coef_v[4] + v * (coef_v[5] + v * (coef_v[6] + v * coef_v[7]));</span></div> |
| <div class="line"><a name="l00612"></a><span class="lineno"> 612</span> <span class="stringliteral"> return op::exp(p / q);</span></div> |
| <div class="line"><a name="l00613"></a><span class="lineno"> 613</span> <span class="stringliteral">}</span></div> |
| <div class="line"><a name="l00614"></a><span class="lineno"> 614</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00615"></a><span class="lineno"> 615</span> <span class="stringliteral">} // namespace op</span></div> |
| <div class="line"><a name="l00616"></a><span class="lineno"> 616</span> <span class="stringliteral">)code";</span></div> |
| <div class="line"><a name="l00617"></a><span class="lineno"> 617</span> <span class="stringliteral"></span> </div> |
| <div class="line"><a name="l00618"></a><span class="lineno"> 618</span> <span class="stringliteral">} </span><span class="comment">// namespace rtc</span></div> |
| <div class="line"><a name="l00619"></a><span class="lineno"> 619</span> } <span class="comment">// namespace cuda</span></div> |
| <div class="line"><a name="l00620"></a><span class="lineno"> 620</span> } <span class="comment">// namespace common</span></div> |
| <div class="line"><a name="l00621"></a><span class="lineno"> 621</span> } <span class="comment">// namespace mxnet</span></div> |
| <div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  </div> |
| <div class="line"><a name="l00623"></a><span class="lineno"> 623</span> <span class="preprocessor">#endif // MXNET_USE_CUDA</span></div> |
| <div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  </div> |
| <div class="line"><a name="l00625"></a><span class="lineno"> 625</span> <span class="preprocessor">#endif // MXNET_COMMON_CUDA_RTC_BACKWARD_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_a05143a27c092d6956c91fd2220136eed"><div class="ttname"><a href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#a05143a27c092d6956c91fd2220136eed">mxnet::common::cuda::rtc::grad_function_definitions</a></div><div class="ttdeci">const char grad_function_definitions[]</div><div class="ttdef"><b>Definition:</b> backward_functions-inl.h:337</div></div> |
| <div class="ttc" id="anamespacemxnet_1_1common_1_1cuda_1_1rtc_html_af9ebdc3671fe5eb11c4a5aec4cfecdbe"><div class="ttname"><a href="namespacemxnet_1_1common_1_1cuda_1_1rtc.html#af9ebdc3671fe5eb11c4a5aec4cfecdbe">mxnet::common::cuda::rtc::backward_function_definitions</a></div><div class="ttdeci">const char backward_function_definitions[]</div><div class="ttdef"><b>Definition:</b> backward_functions-inl.h:30</div></div> |
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