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<li class="navelem"><a class="el" href="dir_8cab8f464681f7cc51cee77e79a434cd.html">3rdparty</a></li><li class="navelem"><a class="el" href="dir_3e48ced36faa4eaa1b41f6d960bf0edb.html">mshadow</a></li><li class="navelem"><a class="el" href="dir_00b035bb2ad81894e6ad291054ea5f82.html">mshadow</a></li> </ul>
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<a href="half_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * Licensed to the Apache Software Foundation (ASF) under one</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * or more contributor license agreements. See the NOTICE file</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> * distributed with this work for additional information</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * regarding copyright ownership. The ASF licenses this file</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * to you under the Apache License, Version 2.0 (the</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * &quot;License&quot;); you may not use this file except in compliance</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * with the License. You may obtain a copy of the License at</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<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>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<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>&#160;<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>&#160;<span class="comment"> * &quot;AS IS&quot; BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment"> * KIND, either express or implied. See the License for the</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment"> * specific language governing permissions and limitations</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"> * under the License.</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="preprocessor">#ifndef MSHADOW_HALF_H_</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="preprocessor">#define MSHADOW_HALF_H_</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html">./base.h</a>&quot;</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="preprocessor">#if MSHADOW_USE_F16C</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="preprocessor"> #include &lt;x86intrin.h&gt;</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="preprocessor">#endif // MSHADOW_USE_F16C</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">// This flag dictates rounding for the float2half() routine only (used generally on Windows),</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment">// not the f16c lib or cuda v7.5 (or later) behavior which is fixed at round-to-nearest-even.</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="preprocessor">#ifndef MSHADOW_HALF_ROUND_TO_NEAREST</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="preprocessor">#define MSHADOW_HALF_ROUND_TO_NEAREST 1</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="preprocessor">#if (MSHADOW_USE_CUDA &amp;&amp; CUDA_VERSION &gt;= 7050)</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="preprocessor"> #define MSHADOW_CUDA_HALF 1</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="preprocessor"> #include &lt;cuda_fp16.h&gt;</span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="preprocessor"> #if defined(__CUDA_ARCH__)</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; __host__ __device__ <span class="keywordtype">float</span> __half2float_warp(<span class="keyword">const</span> <span class="keyword">volatile</span> __half&amp; h) { <span class="comment">/* NOLINT(*) */</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; __half val;</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="preprocessor">#if CUDA_VERSION &gt;= 9000</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; val = <span class="keyword">const_cast&lt;</span>__half&amp;<span class="keyword">&gt;</span>(h);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; val.x = h.x;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keywordflow">return</span> __half2float(val);</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="preprocessor"> #endif</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="half_8h.html#a4924ea4b0bccb671c734d17bb814ff56"> 56</a></span>&#160;<span class="preprocessor"> #define MSHADOW_CUDA_HALF 0</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacemshadow.html">mshadow</a> {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment">/* \brief name space for host/device portable half-precision floats */</span></div><div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespacemshadow_1_1half.html"> 62</a></span>&#160;<span class="keyword">namespace </span>half {</div><div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e"> 63</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_OPERATOR(RTYPE, OP) \</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE RTYPE operator OP (half_t a, half_t b) { \</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="preprocessor"> return RTYPE(float(a) OP float(b)); </span><span class="comment">/* NOLINT(*) */</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="preprocessor"> template&lt;typename T&gt; \</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE RTYPE operator OP (half_t a, T b) { \</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="preprocessor"> return RTYPE(float(a) OP float(b)); </span><span class="comment">/* NOLINT(*) */</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="preprocessor"> template&lt;typename T&gt; \</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE RTYPE operator OP (T a, half_t b) { \</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="preprocessor"> return RTYPE(float(a) OP float(b)); </span><span class="comment">/* NOLINT(*) */</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="preprocessor"> }</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429"> 76</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_ASSIGNOP(AOP, OP) \</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="preprocessor"> template&lt;typename T&gt; \</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE half_t operator AOP (const T&amp; a) { \</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="preprocessor"> return *this = half_t(float(*this) OP float(a)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="preprocessor"> template&lt;typename T&gt; \</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE half_t operator AOP (const volatile T&amp; a) volatile { \</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="preprocessor"> return *this = half_t(float(*this) OP float(a)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="preprocessor"> }</span></div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="preprocessor">#if (MSHADOW_CUDA_HALF &amp;&amp; defined(__CUDA_ARCH__))</span></div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="preprocessor">#define MSHADOW_HALF_CONVERSIONOP(T) \</span></div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const { \</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="preprocessor"> return T(__half2float(cuhalf_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const volatile { \</span></div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="preprocessor"> return T(__half2float_warp(cuhalf_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="preprocessor"> }</span></div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="preprocessor">#elif(MSHADOW_USE_F16C)</span></div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="half_8h.html#a396919fcb4ae8391ca381bf88c4b2904"> 95</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_CONVERSIONOP(T) \</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const { \</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="preprocessor"> return T(_cvtsh_ss(half_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const volatile { \</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="preprocessor"> return T(_cvtsh_ss(half_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="preprocessor"> }</span></div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="preprocessor">#define MSHADOW_HALF_CONVERSIONOP(T) \</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const { \</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="preprocessor"> return T(half2float(half_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="preprocessor"> } \</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="preprocessor"> MSHADOW_XINLINE operator T() const volatile { \</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="preprocessor"> return T(half2float(half_)); </span><span class="comment">/* NOLINT(*)*/</span><span class="preprocessor"> \</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="preprocessor"> }</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="preprocessor">#endif // (MSHADOW_CUDA_HALF &amp;&amp; defined(__CUDA_ARCH__))</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;</div><div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="namespacemshadow_1_1half.html#a638b83523dd205b616acfe9dd8a8d4bf"> 112</a></span>&#160;<span class="keyword">class </span><a class="code" href="namespacemshadow_1_1half.html#a638b83523dd205b616acfe9dd8a8d4bf">MSHADOW_ALIGNED</a>(2) half_t {</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <span class="keyword">union </span>{</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; uint16_t half_;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="preprocessor">#if MSHADOW_CUDA_HALF</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; __half cuhalf_;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="preprocessor">#endif // MSHADOW_CUDA_HALF</span></div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; };</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keyword">static</span> <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t Binary(uint16_t value) {</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; half_t res;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; res.half_ = value;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="keywordflow">return</span> res;</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; }</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t() {}</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="preprocessor">#if MSHADOW_CUDA_HALF</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> __half&amp; value) {</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; cuhalf_ = value;</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; }</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="preprocessor">#endif // MSHADOW_CUDA_HALF</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t(<span class="keyword">const</span> <span class="keywordtype">float</span>&amp; value) { constructor(value); }</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; value) { constructor(value); }</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> int8_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> uint8_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> int32_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> uint32_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> int64_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keyword">explicit</span> half_t(<span class="keyword">const</span> uint64_t&amp; value) { constructor(value); }</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <a class="code" href="half_8h.html#a396919fcb4ae8391ca381bf88c4b2904">MSHADOW_HALF_CONVERSIONOP</a>(<span class="keywordtype">float</span>)</div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <a class="code" href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429">MSHADOW_HALF_ASSIGNOP</a>(+=, +)</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <a class="code" href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429">MSHADOW_HALF_ASSIGNOP</a>(-=, -)</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <a class="code" href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429">MSHADOW_HALF_ASSIGNOP</a>(*=, *)</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <a class="code" href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429">MSHADOW_HALF_ASSIGNOP</a>(/=, /)</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t <a class="code" href="namespacemshadow_1_1half.html#acd2943bdd0bb4e67859a65eacad15040">operator+</a>() {</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; }</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t <a class="code" href="namespacemshadow_1_1half.html#a552287e29b28555bc8a687839166ec93">operator-</a>() {</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; <span class="keywordflow">return</span> half_t(-<span class="keywordtype">float</span>(*<span class="keyword">this</span>)); <span class="comment">// NOLINT(*)</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; }</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t operator=(<span class="keyword">const</span> half_t&amp; a) {</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; half_ = a.half_;</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <span class="keywordflow">return</span> a;</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160; }</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t operator=(<span class="keyword">const</span> T&amp; a) {</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span> = half_t(a); <span class="comment">/* NOLINT(*)*/</span></div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; }</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t operator=(<span class="keyword">const</span> half_t&amp; a)<span class="keyword"> volatile </span>{</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; half_ = a.half_;</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; <span class="keywordflow">return</span> a;</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; }</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> half_t operator=(<span class="keyword">const</span> T&amp; a)<span class="keyword"> volatile </span>{</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; <span class="keywordflow">return</span> *<span class="keyword">this</span> = half_t(a); <span class="comment">/* NOLINT(*)*/</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; }</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; <span class="keyword">private</span>:</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <span class="keyword">union </span>Bits {</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordtype">float</span> f;</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; int32_t si;</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; uint32_t ui;</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; };</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> <span class="keyword">const</span> fp16FractionBits = 10;</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> <span class="keyword">const</span> fp32FractionBits = 23;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> fp32FractionMask = ~(~0u &lt;&lt; fp32FractionBits); <span class="comment">// == 0x7fffff</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> fp32HiddenBit = 1 &lt;&lt; fp32FractionBits; <span class="comment">// == 0x800000</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> <span class="keyword">const</span> shift = fp32FractionBits - fp16FractionBits; <span class="comment">// == 13</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160; <span class="keyword">static</span> <span class="keywordtype">int</span> <span class="keyword">const</span> shiftSign = 16;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> expAdjust = 127 - 15; <span class="comment">// exp32-127 = exp16-15, so exp16 = exp32 - (127-15)</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> infN = 0x7F800000; <span class="comment">// flt32 infinity</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> maxN = 0x477FFFFF; <span class="comment">// max flt32 that&#39;s a flt16 normal after &gt;&gt; by shift</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> minN = 0x38800000; <span class="comment">// min flt16 normal as a flt32</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> maxZ = 0x33000000; <span class="comment">// max fp32 number that&#39;s still rounded to zero in fp16</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> signN = 0x80000000; <span class="comment">// flt32 sign bit</span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> infC = infN &gt;&gt; shift;</div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> nanN = (infC + 1) &lt;&lt; shift; <span class="comment">// minimum flt16 nan as a flt32</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> maxC = maxN &gt;&gt; shift;</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> minC = minN &gt;&gt; shift;</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> signC = signN &gt;&gt; shiftSign; <span class="comment">// flt16 sign bit</span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> mulN = 0x52000000; <span class="comment">// (1 &lt;&lt; 23) / minN</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> mulC = 0x33800000; <span class="comment">// minN / (1 &lt;&lt; (23 - shift))</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> subC = 0x003FF; <span class="comment">// max flt32 subnormal down shifted</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> norC = 0x00400; <span class="comment">// min flt32 normal down shifted</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> maxD = infC - maxC - 1;</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="keyword">static</span> int32_t <span class="keyword">const</span> minD = minC - subC - 1;</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> uint16_t float2half(<span class="keyword">const</span> <span class="keywordtype">float</span>&amp; value)<span class="keyword"> const </span>{</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; Bits v;</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; v.f = value;</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; uint32_t sign = v.si &amp; signN; <span class="comment">// grab sign bit</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; v.si ^= sign; <span class="comment">// clear sign bit from v</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; sign &gt;&gt;= shiftSign; <span class="comment">// logical shift sign to fp16 position</span></div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;</div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; <span class="keywordflow">if</span> (v.si &lt;= maxZ) {</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; <span class="comment">// Handle eventual zeros here to ensure vshift will not exceed 32 below.</span></div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; v.ui = 0;</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt; minN) {</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160; <span class="comment">// Handle denorms</span></div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160; uint32_t exp32 = v.ui &gt;&gt; fp32FractionBits;</div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160; int32_t exp16 = exp32 - expAdjust;</div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160; <span class="comment">// If exp16 == 0 (just into the denorm range), then significant should be shifted right 1.</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160; <span class="comment">// Smaller (so negative) exp16 values should result in greater right shifts.</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160; uint32_t vshift = 1 - exp16;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160; uint32_t significand = fp32HiddenBit | (v.ui &amp; fp32FractionMask);</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160; v.ui = significand &gt;&gt; vshift;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160; <span class="comment">// The only time it&#39;s *not* OK to add 0x1000 (i.e. half the flt16 fraction lsb) is</span></div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160; <span class="comment">// when the lsb of the flt16 fraction == 0 (so not rounding up to even) and the additional</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160; <span class="comment">// bits to the right of the lsb are 1000... (including flt32 significand bits</span></div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160; <span class="comment">// that may be lost during the above vshift). The first term below will always</span></div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160; <span class="comment">// be true for vshift &gt;=12 (since even the &#39;hidden bit&#39; has been shifted to the</span></div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160; <span class="comment">// right of the &#39;1&#39; bit in 0x1000). And when vshift &lt;= 11, both terms combine to make</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160; <span class="comment">// the proper test of the flt32 significand bits, including those lost during the vshift.</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="preprocessor">#if MSHADOW_HALF_ROUND_TO_NEAREST == 1</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160; <span class="comment">// Rounding may increase the exponent to 1, but that&#39;s OK.</span></div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160; v.ui += (v.ui &amp; 0x3fff) != 0x1000 || (significand &amp; 0x7ff) ? 0x1000 : 0;</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt;= maxN) {</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160; <span class="comment">// Handle norms</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="preprocessor">#if MSHADOW_HALF_ROUND_TO_NEAREST == 1</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160; <span class="comment">// Rounding may increase the exponent, possibly creating an inf, but that&#39;s OK.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160; v.ui += (v.ui &amp; 0x3fff) != 0x1000 ? 0x1000 : 0;</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160; v.ui -= expAdjust &lt;&lt; fp32FractionBits;</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt;= infN) {</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160; v.si = infN;</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt; nanN) {</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160; v.si = nanN;</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160; }</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160; v.ui &gt;&gt;= shift;</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160; <span class="keywordflow">return</span> sign | (v.ui &amp; 0x7fff);</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160; }</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160; <span class="comment">// Same as above routine, except for addition of volatile keyword</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> uint16_t float2half(<span class="keyword">const</span> <span class="keyword">volatile</span> <span class="keywordtype">float</span>&amp; value)<span class="keyword"> const volatile </span>{ <span class="comment">// NOLINT (*)</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160; Bits v;</div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160; v.f = value;</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160; uint32_t sign = v.si &amp; signN; <span class="comment">// grab sign bit</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160; v.si ^= sign; <span class="comment">// clear sign bit from v</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160; sign &gt;&gt;= shiftSign; <span class="comment">// logical shift sign to fp16 position</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160; <span class="keywordflow">if</span> (v.si &lt;= maxZ) {</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; <span class="comment">// Handle eventual zeros here to ensure vshift will not exceed 32 below.</span></div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; v.ui = 0;</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt; minN) {</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="comment">// Handle denorms</span></div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160; uint32_t exp32 = v.ui &gt;&gt; fp32FractionBits;</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160; int32_t exp16 = exp32 - expAdjust;</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160; <span class="comment">// If exp16 == 0 (just into the denorm range), then significant should be shifted right 1.</span></div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160; <span class="comment">// Smaller (so negative) exp16 values should result in greater right shifts.</span></div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160; uint32_t vshift = 1 - exp16;</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160; uint32_t significand = fp32HiddenBit | (v.ui &amp; fp32FractionMask);</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160; v.ui = significand &gt;&gt; vshift;</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="preprocessor">#if MSHADOW_HALF_ROUND_TO_NEAREST == 1</span></div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160; <span class="comment">// Rounding may increase the exponent to 1, but that&#39;s OK.</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160; v.ui += (v.ui &amp; 0x3fff) != 0x1000 || (significand &amp; 0x7ff) ? 0x1000 : 0;</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt;= maxN) {</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160; <span class="comment">// Handle norms</span></div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="preprocessor">#if MSHADOW_HALF_ROUND_TO_NEAREST == 1</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160; <span class="comment">// Rounding may increase the exponent, possibly creating an inf, but that&#39;s OK.</span></div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160; v.ui += (v.ui &amp; 0x3fff) != 0x1000 ? 0x1000 : 0;</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160; v.ui -= expAdjust &lt;&lt; fp32FractionBits;</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt;= infN) {</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160; v.si = infN;</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (v.si &lt; nanN) {</div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160; v.si = nanN;</div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160; }</div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160; v.ui &gt;&gt;= shift;</div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160; <span class="keywordflow">return</span> sign | (v.ui &amp; 0x7fff);</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160; }</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;</div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keywordtype">float</span> half2float(<span class="keyword">const</span> uint16_t&amp; value)<span class="keyword"> const </span>{</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160; Bits v;</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160; v.ui = value;</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160; int32_t sign = v.si &amp; signC;</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160; v.si ^= sign;</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160; sign &lt;&lt;= shiftSign;</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160; v.si ^= ((v.si + minD) ^ v.si) &amp; -(v.si &gt; subC);</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160; v.si ^= ((v.si + maxD) ^ v.si) &amp; -(v.si &gt; maxC);</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160; Bits s;</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160; s.si = mulC;</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160; s.f *= v.si;</div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160; int32_t <a class="code" href="namespacemshadow_1_1expr.html#a0b4a783ea715eba66efea27dc443d9dc">mask</a> = -(norC &gt; v.si);</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160; v.si &lt;&lt;= shift;</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160; v.si ^= (s.si ^ v.si) &amp; mask;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160; v.si |= sign;</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160; <span class="keywordflow">return</span> v.f;</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160; }</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keywordtype">float</span> half2float(<span class="keyword">const</span> <span class="keyword">volatile</span> uint16_t&amp; value)<span class="keyword"> const volatile </span>{ <span class="comment">// NOLINT(*)</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160; Bits v;</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160; v.ui = value;</div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160; int32_t sign = v.si &amp; signC;</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160; v.si ^= sign;</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160; sign &lt;&lt;= shiftSign;</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160; v.si ^= ((v.si + minD) ^ v.si) &amp; -(v.si &gt; subC);</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160; v.si ^= ((v.si + maxD) ^ v.si) &amp; -(v.si &gt; maxC);</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160; Bits s;</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160; s.si = mulC;</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160; s.f *= v.si;</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160; int32_t <a class="code" href="namespacemshadow_1_1expr.html#a0b4a783ea715eba66efea27dc443d9dc">mask</a> = -(norC &gt; v.si);</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160; v.si &lt;&lt;= shift;</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160; v.si ^= (s.si ^ v.si) &amp; mask;</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160; v.si |= sign;</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160; <span class="keywordflow">return</span> v.f;</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160; }</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160; <a class="code" href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a> <span class="keywordtype">void</span> constructor(<span class="keyword">const</span> T&amp; value) {</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="preprocessor">#if (MSHADOW_CUDA_HALF &amp;&amp; defined(__CUDA_ARCH__))</span></div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160; cuhalf_ = __float2half(<span class="keywordtype">float</span>(value)); <span class="comment">// NOLINT(*)</span></div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="preprocessor">#elif(MSHADOW_USE_F16C)</span></div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160; half_ = _cvtss_sh(static_cast&lt;float&gt;(value), 0);</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="preprocessor">#else </span><span class="comment">/* !MSHADOW_CUDA_HALF &amp;&amp; !MSHADOW_USE_F16C */</span><span class="preprocessor"></span></div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160; half_ = float2half(<span class="keywordtype">float</span>(value)); <span class="comment">// NOLINT(*)</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="preprocessor">#endif </span><span class="comment">/* !MSHADOW_CUDA_HALF &amp;&amp; !MSHADOW_USE_F16C */</span><span class="preprocessor"></span></div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160; }</div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;};</div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(half_t, +)</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(half_t, -)</div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(half_t, *)</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(half_t, /)</div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(<span class="keywordtype">bool</span>, &gt;)</div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(<span class="keywordtype">bool</span>, &lt;)</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(<span class="keywordtype">bool</span>, &gt;=)</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;<a class="code" href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a>(<span class="keywordtype">bool</span>, &lt;=)</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;</div><div class="line"><a name="l00368"></a><span class="lineno"><a class="line" href="half_8h.html#a6961c70512f3780000b1ee5691363da3"> 368</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_MIN mshadow::half::half_t::Binary(0xFBFF);</span></div><div class="line"><a name="l00369"></a><span class="lineno"><a class="line" href="half_8h.html#acd26d7558448d4ce6889283913627b31"> 369</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_MAX mshadow::half::half_t::Binary(0x7BFF);</span></div><div class="line"><a name="l00370"></a><span class="lineno"><a class="line" href="half_8h.html#a4068a67a48bb294a6bf436e28be90de9"> 370</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_SIGN_BIT 0x8000</span></div><div class="line"><a name="l00371"></a><span class="lineno"><a class="line" href="half_8h.html#afdc51a9766b6923a3742828222103e3d"> 371</a></span>&#160;<span class="preprocessor">#define MSHADOW_HALF_EXPONENT_BITS 0x7c00</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;} <span class="comment">// namespace half</span></div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;} <span class="comment">// namespace mshadow</span></div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="preprocessor">#endif // MSHADOW_HALF_H_</span></div><div class="ttc" id="namespacemshadow_1_1half_html_a638b83523dd205b616acfe9dd8a8d4bf"><div class="ttname"><a href="namespacemshadow_1_1half.html#a638b83523dd205b616acfe9dd8a8d4bf">mshadow::half::MSHADOW_ALIGNED</a></div><div class="ttdeci">class MSHADOW_ALIGNED(2) half_t</div><div class="ttdef"><b>Definition:</b> half.h:112</div></div>
<div class="ttc" id="half_8h_html_a396919fcb4ae8391ca381bf88c4b2904"><div class="ttname"><a href="half_8h.html#a396919fcb4ae8391ca381bf88c4b2904">MSHADOW_HALF_CONVERSIONOP</a></div><div class="ttdeci">#define MSHADOW_HALF_CONVERSIONOP(T)</div><div class="ttdef"><b>Definition:</b> half.h:95</div></div>
<div class="ttc" id="half_8h_html_aedf5ac2fc46d5d47393148bfab6c8429"><div class="ttname"><a href="half_8h.html#aedf5ac2fc46d5d47393148bfab6c8429">MSHADOW_HALF_ASSIGNOP</a></div><div class="ttdeci">#define MSHADOW_HALF_ASSIGNOP(AOP, OP)</div><div class="ttdef"><b>Definition:</b> half.h:76</div></div>
<div class="ttc" id="namespacemshadow_1_1half_html_acd2943bdd0bb4e67859a65eacad15040"><div class="ttname"><a href="namespacemshadow_1_1half.html#acd2943bdd0bb4e67859a65eacad15040">mshadow::half::operator+</a></div><div class="ttdeci">MSHADOW_XINLINE half2_t operator+(half2_t a, half2_t b)</div><div class="ttdoc">overloaded + operator for half2_t </div><div class="ttdef"><b>Definition:</b> half2.h:106</div></div>
<div class="ttc" id="3rdparty_2mshadow_2mshadow_2base_8h_html_af205b8ab4d8733133d590df7d2639d69"><div class="ttname"><a href="3rdparty_2mshadow_2mshadow_2base_8h.html#af205b8ab4d8733133d590df7d2639d69">MSHADOW_XINLINE</a></div><div class="ttdeci">#define MSHADOW_XINLINE</div><div class="ttdef"><b>Definition:</b> base.h:230</div></div>
<div class="ttc" id="namespacemshadow_1_1half_html_a552287e29b28555bc8a687839166ec93"><div class="ttname"><a href="namespacemshadow_1_1half.html#a552287e29b28555bc8a687839166ec93">mshadow::half::operator-</a></div><div class="ttdeci">MSHADOW_XINLINE half2_t operator-(half2_t a, half2_t b)</div><div class="ttdoc">overloaded - operator for half2_t </div><div class="ttdef"><b>Definition:</b> half2.h:115</div></div>
<div class="ttc" id="namespacemshadow_1_1expr_html_a0b4a783ea715eba66efea27dc443d9dc"><div class="ttname"><a href="namespacemshadow_1_1expr.html#a0b4a783ea715eba66efea27dc443d9dc">mshadow::expr::mask</a></div><div class="ttdeci">MaskExp&lt; IndexExp, SrcExp, DType &gt; mask(const Exp&lt; IndexExp, DType, e1 &gt; &amp;index, const Exp&lt; SrcExp, DType, e2 &gt; &amp;src)</div><div class="ttdef"><b>Definition:</b> mask.h:57</div></div>
<div class="ttc" id="half_8h_html_a38c4c7bcd18e477beff6b5bafbc05d8e"><div class="ttname"><a href="half_8h.html#a38c4c7bcd18e477beff6b5bafbc05d8e">MSHADOW_HALF_OPERATOR</a></div><div class="ttdeci">#define MSHADOW_HALF_OPERATOR(RTYPE, OP)</div><div class="ttdef"><b>Definition:</b> half.h:63</div></div>
<div class="ttc" id="namespacemshadow_html"><div class="ttname"><a href="namespacemshadow.html">mshadow</a></div><div class="ttdoc">overloaded + operator between half_t and bf16_t </div><div class="ttdef"><b>Definition:</b> base.h:334</div></div>
<div class="ttc" id="3rdparty_2mshadow_2mshadow_2base_8h_html"><div class="ttname"><a href="3rdparty_2mshadow_2mshadow_2base_8h.html">base.h</a></div></div>
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