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<a href="readwrite_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright © 2024 Apple Inc.</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span> </div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#include <metal_common></span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include "<a class="code" href="radix_8h.html">mlx/backend/metal/kernels/fft/radix.h</a>"</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span> </div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">/* FFT helpers for reading and writing from/to device memory.</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"></span> </div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">For many sizes, GPU FFTs are memory bandwidth bound so</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">read/write performance is important.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"></span> </div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">Where possible, we read 128 bits sequentially in each thread,</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment">coalesced with accesses from adajcent threads for optimal performance.</span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"></span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">We implement specialized reading/writing for:</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment"> - FFT</span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"> - RFFT</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> - IRFFT</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment"></span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment">Each with support for:</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> - Contiguous reads</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> - Padded reads</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment"> - Strided reads</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment">*/</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="readwrite_8h.html#a7b6e56afa21f022c5e754b000955735a"> 26</a></span><span class="preprocessor">#define MAX_RADIX 13</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="keyword">using namespace </span><a class="code hl_namespace" href="namespacemetal.html">metal</a>;</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">template</span> <</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">typename</span> in_T,</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">typename</span> out_T,</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">int</span> step = 0,</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordtype">bool</span> four_step_real = <span class="keyword">false</span>></div>
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<div class="foldopen" id="foldopen00035" data-start="{" data-end="};">
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="struct_read_writer.html"> 35</a></span><span class="keyword">struct </span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a> {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4"> 36</a></span> <span class="keyword">const</span> device in_T* <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>;</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5"> 37</a></span> threadgroup float2* <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef"> 38</a></span> device out_T* <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>;</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb"> 39</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735"> 40</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a>;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7"> 41</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede"> 42</a></span> uint3 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8"> 43</a></span> uint3 <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>;</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893"> 44</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a>;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813"> 45</a></span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a>;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// Used for strided access</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989"> 48</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> = 0;</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc"> 49</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> = 0;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="foldopen" id="foldopen00051" data-start="{" data-end="}">
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c"> 51</a></span> METAL_FUNC <a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a>(</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">const</span> device in_T* in_,</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> threadgroup float2* buf_,</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> device out_T* out_,</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">const</span> <span class="keywordtype">short</span> n_,</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">const</span> <span class="keywordtype">int</span> batch_size_,</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">const</span> <span class="keywordtype">short</span> <a class="code hl_variable" href="backend_2metal_2kernels_2fft_8h.html#ad395c11e6f2aee72cd1928fba93a35a3">elems_per_thread_</a>,</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> uint3 elem_,</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> uint3 grid_,</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code hl_variable" href="backend_2metal_2kernels_2fft_8h.html#a7a83318497519ff3ff0141b7d511ed38">inv_</a>)</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> : <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>(in_),</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>(buf_),</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>(out_),</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>(n_),</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a>(batch_size_),</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>(<a class="code hl_variable" href="backend_2metal_2kernels_2fft_8h.html#ad395c11e6f2aee72cd1928fba93a35a3">elems_per_thread_</a>),</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>(elem_),</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>(grid_),</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a>(<a class="code hl_variable" href="backend_2metal_2kernels_2fft_8h.html#a7a83318497519ff3ff0141b7d511ed38">inv_</a>) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// Account for padding on last threadgroup</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a> = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x == <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.x - 1</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> ? (<a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - (<a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.x - 1) * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y) * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> : <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
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</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// ifft(x) = 1/n * conj(fft(conj(x)))</span></div>
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<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c"> 77</a></span> METAL_FUNC float2 <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> ? float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x, -<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y) : <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
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</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// Handle float case for generic RFFT alg</span></div>
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<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a6c47a25b2135393045fa5f95ada59d9d"> 82</a></span> METAL_FUNC float2 <a class="code hl_function" href="struct_read_writer.html#a6c47a25b2135393045fa5f95ada59d9d">post_in</a>(<span class="keywordtype">float</span> <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">return</span> float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>, 0);</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> }</div>
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</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
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<div class="foldopen" id="foldopen00086" data-start="{" data-end="}">
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a"> 86</a></span> METAL_FUNC float2 <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> ? float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>, -<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>) : <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
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</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
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<div class="foldopen" id="foldopen00090" data-start="{" data-end="}">
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a185553204b07a407ef02c41dd78e8239"> 90</a></span> METAL_FUNC float2 <a class="code hl_function" href="struct_read_writer.html#a185553204b07a407ef02c41dd78e8239">pre_out</a>(float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>, <span class="keywordtype">int</span> length)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> ? float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x / length, -<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y / length) : <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
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</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="foldopen" id="foldopen00094" data-start="{" data-end="}">
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a08e10626fbc789b6dff9172fd6c36f7c"> 94</a></span> METAL_FUNC <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_read_writer.html#a08e10626fbc789b6dff9172fd6c36f7c">out_of_bounds</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="comment">// Account for possible extra threadgroups</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">return</span> grid_index >= <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a>;</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
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</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="foldopen" id="foldopen00100" data-start="{" data-end="}">
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75"> 100</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">load</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordtype">short</span> tg_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordtype">short</span> max_index = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 2;</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// 2 complex64s = 128 bits</span></div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> read_width = 2;</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> e = 0; e < (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / read_width); e++) {</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordtype">short</span> index = read_width * tg_idx + read_width * <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a> * e;</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(index, max_index);</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="comment">// vectorized reads</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index] = <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index]);</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index + 1] = <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index + 1]);</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> max_index += 1;</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> % 2 != 0) {</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordtype">short</span> index = tg_idx +</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> read_width * <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a> * (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / read_width);</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(index, max_index);</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index] = <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index]);</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> }</div>
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</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
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<div class="foldopen" id="foldopen00123" data-start="{" data-end="}">
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ac2ea71e41740ddc863890e3e8e6f09d0"> 123</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#ac2ea71e41740ddc863890e3e8e6f09d0">write</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">short</span> tg_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">short</span> max_index = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 2;</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">constexpr</span> <span class="keywordtype">int</span> read_width = 2;</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">for</span> (<span class="keywordtype">short</span> e = 0; e < (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / read_width); e++) {</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordtype">short</span> index = read_width * tg_idx + read_width * <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a> * e;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(index, max_index);</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// vectorized reads</span></div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(<a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index]);</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + 1] = <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(<a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index + 1]);</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> max_index += 1;</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> % 2 != 0) {</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordtype">short</span> index = tg_idx +</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> read_width * <a class="code hl_variable" href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">threads_per_tg</a> * (<a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / read_width);</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(index, max_index);</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(<a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[index]);</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> }</div>
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</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> </div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// Padded IO for Bluestein's algorithm</span></div>
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<div class="foldopen" id="foldopen00146" data-start="{" data-end="}">
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="struct_read_writer.html#add5bd3f647793a5a19d63197a19df73c"> 146</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#add5bd3f647793a5a19d63197a19df73c">load_padded</a>(<span class="keywordtype">int</span> length, <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length;</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordtype">int</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordtype">int</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 1);</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordflow">if</span> (index < length) {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a> = <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index]);</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> seq_buf[index] = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>, w_k[index]);</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> seq_buf[index] = 0.0;</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> }</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> }</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> }</div>
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</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
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<div class="foldopen" id="foldopen00163" data-start="{" data-end="}">
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a95367307acace2aa88226cf8956d2d88"> 163</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a95367307acace2aa88226cf8956d2d88">write_padded</a>(<span class="keywordtype">int</span> length, <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length;</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="keywordtype">int</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordtype">int</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> float2 inv_factor = {1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>, -1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>};</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 1);</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordflow">if</span> (index < length) {</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a> = seq_buf[index + length - 1] * inv_factor;</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(<a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>, w_k[index]), length);</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> }</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> }</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> }</div>
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</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// Strided IO for four step FFT</span></div>
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<div class="foldopen" id="foldopen00180" data-start="{" data-end="}">
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf"> 180</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">compute_strided_indices</a>(<span class="keywordtype">int</span> stride, <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// Use the batch threadgroup dimension to coalesce memory accesses:</span></div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// e.g. stride = 12</span></div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="comment">// device | shared mem</span></div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// 0 1 2 3 | 0 12 - -</span></div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// - - - - | 1 13 - -</span></div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// - - - - | 2 14 - -</span></div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// 12 13 14 15 | 3 15 - -</span></div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="keywordtype">int</span> coalesce_width = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y;</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordtype">int</span> tg_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordtype">int</span> outer_batch_size = stride / coalesce_width;</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordtype">int</span> strided_batch_idx = (<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x % outer_batch_size) * coalesce_width +</div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> overall_n * (<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x / outer_batch_size);</div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> = strided_batch_idx +</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> tg_idx / coalesce_width * <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> * stride +</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> tg_idx % coalesce_width;</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> = (tg_idx % coalesce_width) * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> +</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> tg_idx / coalesce_width * <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>;</div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> }</div>
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</div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// Four Step FFT First Step</span></div>
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<div class="foldopen" id="foldopen00202" data-start="{" data-end="}">
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197"> 202</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">load_strided</a>(<span class="keywordtype">int</span> stride, <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <a class="code hl_function" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">compute_strided_indices</a>(stride, overall_n);</div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e] =</div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <a class="code hl_function" href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">post_in</a>(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride]);</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> }</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> }</div>
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</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="foldopen" id="foldopen00210" data-start="{" data-end="}">
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67"> 210</a></span> METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67">write_strided</a>(<span class="keywordtype">int</span> stride, <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> float2 output = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e];</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">int</span> combined_idx = (<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride) % overall_n;</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordtype">int</span> ij = (combined_idx / stride) * (combined_idx % stride);</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// Apply four step twiddles at end of first step</span></div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> float2 twiddle = <a class="code hl_function" href="radix_8h.html#ac5cf950316b9445296ee9ecfc56a56bd">get_twiddle</a>(ij, overall_n);</div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride] = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(output, twiddle);</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> }</div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
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</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span>};</div>
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</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span><span class="comment">// Four Step FFT Second Step</span></div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00224" data-start="{" data-end="}">
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a3d9c8cbc582cad6b5218339d0f721559"> 224</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float2, <span class="comment">/*step=*/</span>1><a class="code hl_function" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">::load_strided</a>(</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// Silence compiler warnings</span></div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> (void)stride;</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> (void)overall_n;</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// Don't invert between steps</span></div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordtype">bool</span> default_inv = <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a>;</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">load</a>();</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = default_inv;</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span>}</div>
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</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00238" data-start="{" data-end="}">
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a12e7f43cd9de2d9990054184c0a32839"> 238</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float2, <span class="comment">/*step=*/</span>1><a class="code hl_function" href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67">::write_strided</a>(</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <a class="code hl_function" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">compute_strided_indices</a>(stride, overall_n);</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> float2 output = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e];</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride] = <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(output, overall_n);</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> }</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span>}</div>
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</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> </div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span><span class="comment">// For RFFT, we interleave batches of two real sequences into one complex one:</span></div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span><span class="comment">//</span></div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span><span class="comment">// z_k = x_k + j.y_k</span></div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><span class="comment">// X_k = (Z_k + Z_(N-k)*) / 2</span></div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span><span class="comment">// Y_k = -j * ((Z_k - Z_(N-k)*) / 2)</span></div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment">//</span></div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment">// This roughly doubles the throughput over the regular FFT.</span></div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00256" data-start="{" data-end="}">
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a6f946aea5452109dca7fc70ed39c6efe"> 256</a></span>METAL_FUNC <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_read_writer.html#a08e10626fbc789b6dff9172fd6c36f7c">ReadWriter<float, float2>::out_of_bounds</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="comment">// We pack two sequences into one for RFFTs</span></div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">return</span> grid_index * 2 >= <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a>;</div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>}</div>
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</div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00263" data-start="{" data-end="}">
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a8a97ba42db5692898ef7391db08d8fd0"> 263</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">ReadWriter<float, float2>::load</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> * 2;</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="comment">// No out of bounds accesses on odd batch sizes</span></div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordtype">short</span> next_in =</div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> </div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 1);</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> seq_buf[index].x = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index];</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> seq_buf[index].y = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index + next_in];</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> }</div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span>}</div>
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</div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00283" data-start="{" data-end="}">
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a7a3d1396b0f83aa7506207bd6e7336bf"> 283</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#ac2ea71e41740ddc863890e3e8e6f09d0">ReadWriter<float, float2>::write</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordtype">short</span> n_over_2 = (<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> / 2) + 1;</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> </div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * n_over_2 * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * n_over_2 * 2;</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> </div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="keywordtype">short</span> next_out =</div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : n_over_2;</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> </div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> float2 conj = {1, -1};</div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> float2 minus_j = {0, -1};</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> </div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> </div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2 + 1; e++) {</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, n_over_2 - 1);</div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="comment">// x_0 = z_0.real</span></div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// y_0 = z_0.imag</span></div>
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<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">if</span> (index == 0) {</div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = {seq_buf[index].x, 0};</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] = {seq_buf[index].y, 0};</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> float2 x_k = seq_buf[index];</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> float2 x_n_minus_k = seq_buf[<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - index] * conj;</div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = (x_k + x_n_minus_k) / 2;</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] =</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(((x_k - x_n_minus_k) / 2), minus_j);</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> }</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span>}</div>
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</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00317" data-start="{" data-end="}">
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"><a class="line" href="struct_read_writer.html#af3ce6bbb1a8dfb3bab1ae18d3eb45bc0"> 317</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#add5bd3f647793a5a19d63197a19df73c">ReadWriter<float, float2>::load_padded</a>(</div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordtype">int</span> length,</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length * 2;</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="comment">// No out of bounds accesses on odd batch sizes</span></div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keywordtype">short</span> next_in =</div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : length;</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> </div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> </div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 1);</div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keywordflow">if</span> (index < length) {</div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a> =</div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> float2(<a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index], <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index + next_in]);</div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> seq_buf[index] = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>, w_k[index]);</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> seq_buf[index] = 0;</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> }</div>
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> }</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span>}</div>
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</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> </div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00344" data-start="{" data-end="}">
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"><a class="line" href="struct_read_writer.html#abaf2a6ad4c88bd9f65fe1db1f73a8d87"> 344</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a95367307acace2aa88226cf8956d2d88">ReadWriter<float, float2>::write_padded</a>(</div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordtype">int</span> length,</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keywordtype">int</span> length_over_2 = (length / 2) + 1;</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keywordtype">int</span> batch_idx =</div>
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length_over_2 * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length_over_2 * 2;</div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> + length - 1;</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> </div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keywordtype">short</span> next_out = <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1</div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> ? 0</div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> : length_over_2;</div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> </div>
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<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> float2 conj = {1, -1};</div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> float2 inv_factor = {1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>, -1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>};</div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> float2 minus_j = {0, -1};</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> </div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> </div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2 + 1; e++) {</div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, length_over_2 - 1);</div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="comment">// x_0 = z_0.real</span></div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="comment">// y_0 = z_0.imag</span></div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <span class="keywordflow">if</span> (index == 0) {</div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> float2 <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a> = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(w_k[index], seq_buf[index] * inv_factor);</div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x, 0);</div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] = float2(<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y, 0);</div>
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<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> float2 x_k = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(w_k[index], seq_buf[index] * inv_factor);</div>
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<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> float2 x_n_minus_k = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(</div>
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<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> w_k[length - index], seq_buf[length - index] * inv_factor);</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> x_n_minus_k *= conj;</div>
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="comment">// w_k should happen before this extraction</span></div>
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<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = (x_k + x_n_minus_k) / 2;</div>
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<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] =</div>
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<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(((x_k - x_n_minus_k) / 2), minus_j);</div>
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<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> }</div>
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<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> }</div>
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<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span>}</div>
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</div>
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<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> </div>
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<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span><span class="comment">// For IRFFT, we do the opposite</span></div>
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<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span><span class="comment">//</span></div>
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<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span><span class="comment">// Z_k = X_k + j.Y_k</span></div>
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<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span><span class="comment">// x_k = Re(Z_k)</span></div>
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<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span><span class="comment">// Y_k = Imag(Z_k)</span></div>
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<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00391" data-start="{" data-end="}">
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<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a8f40d7f343d32134fe27a694abfde6bf"> 391</a></span>METAL_FUNC <span class="keywordtype">bool</span> <a class="code hl_function" href="struct_read_writer.html#a08e10626fbc789b6dff9172fd6c36f7c">ReadWriter<float2, float>::out_of_bounds</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> <span class="comment">// We pack two sequences into one for IRFFTs</span></div>
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<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">return</span> grid_index * 2 >= <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a>;</div>
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<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span>}</div>
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</div>
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<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> </div>
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<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00398" data-start="{" data-end="}">
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<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a2506ee61be67826ac9494efb12a81900"> 398</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">ReadWriter<float2, float>::load</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="keywordtype">short</span> n_over_2 = (<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> / 2) + 1;</div>
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<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * n_over_2 * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * n_over_2 * 2;</div>
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<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> </div>
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<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> <span class="comment">// No out of bounds accesses on odd batch sizes</span></div>
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<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordtype">short</span> next_in =</div>
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<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : n_over_2;</div>
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<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> </div>
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<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> </div>
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<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> float2 conj = {1, -1};</div>
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<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> float2 plus_j = {0, 1};</div>
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<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> </div>
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<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2 + 1; t++) {</div>
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<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + t * m, n_over_2 - 1);</div>
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<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> float2 x = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index];</div>
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<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> float2 y = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index + next_in];</div>
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<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="comment">// NumPy forces first input to be real</span></div>
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<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> <span class="keywordtype">bool</span> first_val = index == 0;</div>
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<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> <span class="comment">// NumPy forces last input on even irffts to be real</span></div>
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<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> <span class="keywordtype">bool</span> last_val = <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> % 2 == 0 && index == n_over_2 - 1;</div>
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<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keywordflow">if</span> (first_val || last_val) {</div>
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<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> x = float2(x.x, 0);</div>
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<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> y = float2(y.x, 0);</div>
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<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> }</div>
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<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> seq_buf[index] = x + <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(y, plus_j);</div>
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<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> seq_buf[index].y = -seq_buf[index].y;</div>
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<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <span class="keywordflow">if</span> (index > 0 && !last_val) {</div>
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<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> seq_buf[<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - index] = (x * conj) + <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(y * conj, plus_j);</div>
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<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> seq_buf[<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - index].y = -seq_buf[<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - index].y;</div>
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<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> }</div>
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<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> }</div>
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<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span>}</div>
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</div>
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<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> </div>
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<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00436" data-start="{" data-end="}">
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<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ae1f0d3555b74998cc2d2288bce72a1f4"> 436</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#ac2ea71e41740ddc863890e3e8e6f09d0">ReadWriter<float2, float>::write</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> * 2;</div>
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<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> </div>
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<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordtype">short</span> next_out =</div>
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<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> </div>
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<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> </div>
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<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + e * m, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 1);</div>
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<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = seq_buf[index].x / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] = seq_buf[index].y / -<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> }</div>
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<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span>}</div>
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</div>
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<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> </div>
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<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00455" data-start="{" data-end="}">
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<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"><a class="line" href="struct_read_writer.html#ab116f4569bb9dc6eaef0d8d08472e239"> 455</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#add5bd3f647793a5a19d63197a19df73c">ReadWriter<float2, float>::load_padded</a>(</div>
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<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <span class="keywordtype">int</span> length,</div>
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<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="keywordtype">int</span> n_over_2 = (<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> / 2) + 1;</div>
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<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <span class="keywordtype">int</span> length_over_2 = (length / 2) + 1;</div>
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<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> </div>
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<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> <span class="keywordtype">int</span> batch_idx =</div>
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<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length_over_2 * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length_over_2 * 2;</div>
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<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>;</div>
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<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> </div>
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<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="comment">// No out of bounds accesses on odd batch sizes</span></div>
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<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> <span class="keywordtype">short</span> next_in = <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1</div>
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<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> ? 0</div>
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<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> : length_over_2;</div>
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<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> </div>
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<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> </div>
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<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> float2 conj = {1, -1};</div>
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<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> float2 plus_j = {0, 1};</div>
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<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> </div>
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<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2 + 1; t++) {</div>
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<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <span class="keywordtype">int</span> index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(fft_idx + t * m, n_over_2 - 1);</div>
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<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> float2 x = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index];</div>
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<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> float2 y = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[batch_idx + index + next_in];</div>
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<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> <span class="keywordflow">if</span> (index < length_over_2) {</div>
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<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> <span class="keywordtype">bool</span> last_val = length % 2 == 0 && index == length_over_2 - 1;</div>
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<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <span class="keywordflow">if</span> (last_val) {</div>
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<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> x = float2(x.x, 0);</div>
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<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> y = float2(y.x, 0);</div>
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<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> }</div>
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<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> float2 elem1 = x + <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(y, plus_j);</div>
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<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> seq_buf[index] = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(elem1 * conj, w_k[index]);</div>
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<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="keywordflow">if</span> (index > 0 && !last_val) {</div>
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<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> float2 elem2 = (x * conj) + <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(y * conj, plus_j);</div>
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<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> seq_buf[length - index] =</div>
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<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(elem2 * conj, w_k[length - index]);</div>
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<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> }</div>
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<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> <span class="keywordtype">short</span> pad_index = <a class="code hl_function" href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a>(length + (index - length_over_2) * 2, <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> - 2);</div>
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<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> seq_buf[pad_index] = 0;</div>
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<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> seq_buf[pad_index + 1] = 0;</div>
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<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> }</div>
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<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> }</div>
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<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span>}</div>
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</div>
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<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> </div>
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<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span><span class="keyword">template</span> <></div>
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<div class="foldopen" id="foldopen00503" data-start="{" data-end="}">
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<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a420453a56e77d6b3891ed4b5f178af9c"> 503</a></span>METAL_FUNC <span class="keywordtype">void</span> <a class="code hl_function" href="struct_read_writer.html#a95367307acace2aa88226cf8956d2d88">ReadWriter<float2, float>::write_padded</a>(</div>
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<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="keywordtype">int</span> length,</div>
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<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> <span class="keyword">const</span> device float2* w_k)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> <span class="keywordtype">int</span> batch_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y * length * 2 + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * length * 2;</div>
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<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> threadgroup float2* seq_buf = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a> + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> + length - 1;</div>
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<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> </div>
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<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> <span class="keywordtype">int</span> grid_index = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y;</div>
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<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <span class="keywordtype">short</span> next_out =</div>
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<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> % 2 == 1 && grid_index * 2 == <a class="code hl_variable" href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">batch_size</a> - 1 ? 0 : length;</div>
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<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> </div>
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<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <span class="keywordtype">short</span> m = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z;</div>
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<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="keywordtype">short</span> fft_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> </div>
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<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> float2 inv_factor = {1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>, -1.0f / <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a>};</div>
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<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="keywordtype">int</span> index = fft_idx + e * m;</div>
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<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <span class="keywordflow">if</span> (index < length) {</div>
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<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> float2 output = <a class="code hl_function" href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a>(seq_buf[index] * inv_factor, w_k[index]);</div>
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<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index] = output.x / length;</div>
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<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[batch_idx + index + next_out] = output.y / -length;</div>
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<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> }</div>
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<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> }</div>
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<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span>}</div>
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</div>
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<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
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<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span><span class="comment">// Four Step RFFT</span></div>
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<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span><span class="keyword">template</span> <></div>
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<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span>METAL_FUNC <span class="keywordtype">void</span></div>
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<div class="foldopen" id="foldopen00530" data-start="{" data-end="}">
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<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a795a71a8e1f154a5af415ebe1b3f0713"> 530</a></span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float2, <span class="comment">/*step=*/</span>1, <span class="comment">/*real=*/</span><span class="keyword">true</span>><a class="code hl_function" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">::load_strided</a>(</div>
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<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="comment">// Silence compiler warnings</span></div>
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<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> (void)stride;</div>
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<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> (void)overall_n;</div>
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<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="comment">// Don't invert between steps</span></div>
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<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="keywordtype">bool</span> default_inv = <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a>;</div>
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<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">load</a>();</div>
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<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = default_inv;</div>
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<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span>}</div>
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</div>
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<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> </div>
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<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span><span class="keyword">template</span> <></div>
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<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span>METAL_FUNC <span class="keywordtype">void</span></div>
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<div class="foldopen" id="foldopen00545" data-start="{" data-end="}">
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<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a959ccaa08f2999c50cea063b01e492e4"> 545</a></span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float2, <span class="comment">/*step=*/</span>1, <span class="comment">/*real=*/</span><span class="keyword">true</span>><a class="code hl_function" href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67">::write_strided</a>(</div>
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<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> <span class="keywordtype">int</span> overall_n_over_2 = overall_n / 2 + 1;</div>
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<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <span class="keywordtype">int</span> coalesce_width = <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.y;</div>
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<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="keywordtype">int</span> tg_idx = <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.y * <a class="code hl_variable" href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">grid</a>.z + <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.z;</div>
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<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> <span class="keywordtype">int</span> outer_batch_size = stride / coalesce_width;</div>
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<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> </div>
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<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> <span class="keywordtype">int</span> strided_batch_idx = (<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x % outer_batch_size) * coalesce_width +</div>
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<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> overall_n_over_2 * (<a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x / outer_batch_size);</div>
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<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> <a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> = strided_batch_idx +</div>
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<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> tg_idx / coalesce_width * <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2 * stride +</div>
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<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> tg_idx % coalesce_width;</div>
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<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> = (tg_idx % coalesce_width) * <a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> +</div>
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<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> tg_idx / coalesce_width * <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2;</div>
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<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a> / 2; e++) {</div>
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<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> float2 output = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e];</div>
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<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride] = output;</div>
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<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> }</div>
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<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> </div>
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<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> <span class="comment">// Add on n/2 + 1 element</span></div>
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<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> <span class="keywordflow">if</span> (tg_idx == 0 && <a class="code hl_variable" href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">elem</a>.x % outer_batch_size == 0) {</div>
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<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[strided_batch_idx + overall_n / 2] = <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">n</a> / 2];</div>
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<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> }</div>
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<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span>}</div>
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</div>
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<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> </div>
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<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span><span class="comment">// Four Step IRFFT</span></div>
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<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span><span class="keyword">template</span> <></div>
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<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span>METAL_FUNC <span class="keywordtype">void</span></div>
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<div class="foldopen" id="foldopen00574" data-start="{" data-end="}">
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<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a0935b946b8bf2e769427fcbf2da2f7be"> 574</a></span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float2, <span class="comment">/*step=*/</span>0, <span class="comment">/*real=*/</span><span class="keyword">true</span>><a class="code hl_function" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">::load_strided</a>(</div>
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<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> <span class="keywordtype">int</span> overall_n_over_2 = overall_n / 2 + 1;</div>
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<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> <span class="keyword">auto</span> conj = float2(1, -1);</div>
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<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> </div>
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<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <a class="code hl_function" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">compute_strided_indices</a>(stride, overall_n);</div>
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<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> <span class="comment">// Translate indices in terms of N - k</span></div>
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<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="keywordtype">int</span> device_idx = <a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride;</div>
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<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="keywordtype">int</span> overall_batch = device_idx / overall_n;</div>
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<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <span class="keywordtype">int</span> overall_index = device_idx % overall_n;</div>
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<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> <span class="keywordflow">if</span> (overall_index < overall_n_over_2) {</div>
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<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> device_idx -= overall_batch * (overall_n - overall_n_over_2);</div>
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<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e] = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[device_idx] * conj;</div>
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<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> <span class="keywordtype">int</span> conj_idx = overall_n - overall_index;</div>
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<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> device_idx = overall_batch * overall_n_over_2 + conj_idx;</div>
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<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e] = <a class="code hl_variable" href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">in</a>[device_idx];</div>
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<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> }</div>
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<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> }</div>
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<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span>}</div>
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</div>
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<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> </div>
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<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span><span class="keyword">template</span> <></div>
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<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span>METAL_FUNC <span class="keywordtype">void</span></div>
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<div class="foldopen" id="foldopen00599" data-start="{" data-end="}">
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<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a7d45368c74a8b7c632659504b3273a13"> 599</a></span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float, <span class="comment">/*step=*/</span>1, <span class="comment">/*real=*/</span><span class="keyword">true</span>><a class="code hl_function" href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">::load_strided</a>(</div>
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<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <span class="comment">// Silence compiler warnings</span></div>
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<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> (void)stride;</div>
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<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> (void)overall_n;</div>
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<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keywordtype">bool</span> default_inv = <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a>;</div>
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<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <a class="code hl_function" href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">load</a>();</div>
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<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> <a class="code hl_variable" href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">inv</a> = default_inv;</div>
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<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span>}</div>
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</div>
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<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> </div>
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<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span><span class="keyword">template</span> <></div>
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<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span>METAL_FUNC <span class="keywordtype">void</span></div>
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<div class="foldopen" id="foldopen00613" data-start="{" data-end="}">
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<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"><a class="line" href="struct_read_writer.html#a5592b24dad5ad030a1e4769b0a278f35"> 613</a></span><a class="code hl_function" href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter</a><float2, float, <span class="comment">/*step=*/</span>1, <span class="comment">/*real=*/</span><span class="keyword">true</span>><a class="code hl_function" href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67">::write_strided</a>(</div>
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<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> <span class="keywordtype">int</span> stride,</div>
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<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> <span class="keywordtype">int</span> overall_n) {</div>
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<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> <a class="code hl_function" href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">compute_strided_indices</a>(stride, overall_n);</div>
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<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> </div>
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<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < <a class="code hl_variable" href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">elems_per_thread</a>; e++) {</div>
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<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <a class="code hl_variable" href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">out</a>[<a class="code hl_variable" href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">strided_device_idx</a> + e * stride] =</div>
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<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <a class="code hl_function" href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">pre_out</a>(<a class="code hl_variable" href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">buf</a>[<a class="code hl_variable" href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">strided_shared_idx</a> + e], overall_n).x;</div>
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<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> }</div>
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<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span>}</div>
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</div>
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<div class="ttc" id="abackend_2metal_2kernels_2fft_8h_html_a7a83318497519ff3ff0141b7d511ed38"><div class="ttname"><a href="backend_2metal_2kernels_2fft_8h.html#a7a83318497519ff3ff0141b7d511ed38">inv_</a></div><div class="ttdeci">static constant constexpr const bool inv_</div><div class="ttdef"><b>Definition</b> fft.h:23</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2fft_8h_html_ad395c11e6f2aee72cd1928fba93a35a3"><div class="ttname"><a href="backend_2metal_2kernels_2fft_8h.html#ad395c11e6f2aee72cd1928fba93a35a3">elems_per_thread_</a></div><div class="ttdeci">static constant constexpr const int elems_per_thread_</div><div class="ttdef"><b>Definition</b> fft.h:25</div></div>
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<div class="ttc" id="anamespacemetal_html"><div class="ttname"><a href="namespacemetal.html">metal</a></div><div class="ttdef"><b>Definition</b> bf16_math.h:226</div></div>
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<div class="ttc" id="anamespacemetal_html_a6653b28c9473087141eddce39878d4d3"><div class="ttname"><a href="namespacemetal.html#a6653b28c9473087141eddce39878d4d3">metal::min</a></div><div class="ttdeci">METAL_FUNC bfloat16_t min(bfloat16_t x, bfloat16_t y)</div><div class="ttdef"><b>Definition</b> bf16_math.h:232</div></div>
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<div class="ttc" id="aradix_8h_html"><div class="ttname"><a href="radix_8h.html">radix.h</a></div></div>
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<div class="ttc" id="aradix_8h_html_a5bfc53b531214c9ce277bebc18aa67d6"><div class="ttname"><a href="radix_8h.html#a5bfc53b531214c9ce277bebc18aa67d6">complex_mul</a></div><div class="ttdeci">METAL_FUNC float2 complex_mul(float2 a, float2 b)</div><div class="ttdef"><b>Definition</b> radix.h:19</div></div>
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<div class="ttc" id="aradix_8h_html_ac5cf950316b9445296ee9ecfc56a56bd"><div class="ttname"><a href="radix_8h.html#ac5cf950316b9445296ee9ecfc56a56bd">get_twiddle</a></div><div class="ttdeci">METAL_FUNC float2 get_twiddle(int k, int p)</div><div class="ttdef"><b>Definition</b> radix.h:29</div></div>
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<div class="ttc" id="astruct_read_writer_html_a08e10626fbc789b6dff9172fd6c36f7c"><div class="ttname"><a href="struct_read_writer.html#a08e10626fbc789b6dff9172fd6c36f7c">ReadWriter::out_of_bounds</a></div><div class="ttdeci">METAL_FUNC bool out_of_bounds() const</div><div class="ttdef"><b>Definition</b> readwrite.h:94</div></div>
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<div class="ttc" id="astruct_read_writer_html_a120eaf4b5f32e80972a18d14e82a2d75"><div class="ttname"><a href="struct_read_writer.html#a120eaf4b5f32e80972a18d14e82a2d75">ReadWriter::load</a></div><div class="ttdeci">METAL_FUNC void load() const</div><div class="ttdef"><b>Definition</b> readwrite.h:100</div></div>
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<div class="ttc" id="astruct_read_writer_html_a185553204b07a407ef02c41dd78e8239"><div class="ttname"><a href="struct_read_writer.html#a185553204b07a407ef02c41dd78e8239">ReadWriter::pre_out</a></div><div class="ttdeci">METAL_FUNC float2 pre_out(float2 elem, int length) const</div><div class="ttdef"><b>Definition</b> readwrite.h:90</div></div>
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<div class="ttc" id="astruct_read_writer_html_a1aa07e41d7ac286ad79bd26a072dfa0c"><div class="ttname"><a href="struct_read_writer.html#a1aa07e41d7ac286ad79bd26a072dfa0c">ReadWriter::ReadWriter</a></div><div class="ttdeci">METAL_FUNC ReadWriter(const device in_T *in_, threadgroup float2 *buf_, device out_T *out_, const short n_, const int batch_size_, const short elems_per_thread_, const uint3 elem_, const uint3 grid_, const bool inv_)</div><div class="ttdef"><b>Definition</b> readwrite.h:51</div></div>
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<div class="ttc" id="astruct_read_writer_html_a23bac3c96dd0265ddbee1f256be45ff5"><div class="ttname"><a href="struct_read_writer.html#a23bac3c96dd0265ddbee1f256be45ff5">ReadWriter::buf</a></div><div class="ttdeci">threadgroup float2 * buf</div><div class="ttdef"><b>Definition</b> readwrite.h:37</div></div>
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<div class="ttc" id="astruct_read_writer_html_a32b82adcd6ed324ce235e9f5ad780ede"><div class="ttname"><a href="struct_read_writer.html#a32b82adcd6ed324ce235e9f5ad780ede">ReadWriter::elem</a></div><div class="ttdeci">uint3 elem</div><div class="ttdef"><b>Definition</b> readwrite.h:42</div></div>
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<div class="ttc" id="astruct_read_writer_html_a444230a0182ce6ba1898c04ce6e669a7"><div class="ttname"><a href="struct_read_writer.html#a444230a0182ce6ba1898c04ce6e669a7">ReadWriter::elems_per_thread</a></div><div class="ttdeci">int elems_per_thread</div><div class="ttdef"><b>Definition</b> readwrite.h:41</div></div>
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<div class="ttc" id="astruct_read_writer_html_a4c0b12484aac4fd6759d67c190391989"><div class="ttname"><a href="struct_read_writer.html#a4c0b12484aac4fd6759d67c190391989">ReadWriter::strided_device_idx</a></div><div class="ttdeci">int strided_device_idx</div><div class="ttdef"><b>Definition</b> readwrite.h:48</div></div>
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<div class="ttc" id="astruct_read_writer_html_a64c58e358da22358df3075448ea23893"><div class="ttname"><a href="struct_read_writer.html#a64c58e358da22358df3075448ea23893">ReadWriter::threads_per_tg</a></div><div class="ttdeci">int threads_per_tg</div><div class="ttdef"><b>Definition</b> readwrite.h:44</div></div>
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<div class="ttc" id="astruct_read_writer_html_a655346c9ebfc33a69da3f1c1d4238dfb"><div class="ttname"><a href="struct_read_writer.html#a655346c9ebfc33a69da3f1c1d4238dfb">ReadWriter::n</a></div><div class="ttdeci">int n</div><div class="ttdef"><b>Definition</b> readwrite.h:39</div></div>
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<div class="ttc" id="astruct_read_writer_html_a689f4890c1d2ce33fc6da7550beec735"><div class="ttname"><a href="struct_read_writer.html#a689f4890c1d2ce33fc6da7550beec735">ReadWriter::batch_size</a></div><div class="ttdeci">int batch_size</div><div class="ttdef"><b>Definition</b> readwrite.h:40</div></div>
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<div class="ttc" id="astruct_read_writer_html_a6c47a25b2135393045fa5f95ada59d9d"><div class="ttname"><a href="struct_read_writer.html#a6c47a25b2135393045fa5f95ada59d9d">ReadWriter::post_in</a></div><div class="ttdeci">METAL_FUNC float2 post_in(float elem) const</div><div class="ttdef"><b>Definition</b> readwrite.h:82</div></div>
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<div class="ttc" id="astruct_read_writer_html_a773fa8524515bdc2ff8b0e2060741813"><div class="ttname"><a href="struct_read_writer.html#a773fa8524515bdc2ff8b0e2060741813">ReadWriter::inv</a></div><div class="ttdeci">bool inv</div><div class="ttdef"><b>Definition</b> readwrite.h:45</div></div>
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<div class="ttc" id="astruct_read_writer_html_a77a4d7eac217305e22a3c25b3756ef67"><div class="ttname"><a href="struct_read_writer.html#a77a4d7eac217305e22a3c25b3756ef67">ReadWriter::write_strided</a></div><div class="ttdeci">METAL_FUNC void write_strided(int stride, int overall_n)</div><div class="ttdef"><b>Definition</b> readwrite.h:210</div></div>
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<div class="ttc" id="astruct_read_writer_html_a7c903fbb8b85a856ba5564d7df537cdf"><div class="ttname"><a href="struct_read_writer.html#a7c903fbb8b85a856ba5564d7df537cdf">ReadWriter::compute_strided_indices</a></div><div class="ttdeci">METAL_FUNC void compute_strided_indices(int stride, int overall_n)</div><div class="ttdef"><b>Definition</b> readwrite.h:180</div></div>
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<div class="ttc" id="astruct_read_writer_html_a94da8aa85fa2916eaa3eaeb11499234a"><div class="ttname"><a href="struct_read_writer.html#a94da8aa85fa2916eaa3eaeb11499234a">ReadWriter::pre_out</a></div><div class="ttdeci">METAL_FUNC float2 pre_out(float2 elem) const</div><div class="ttdef"><b>Definition</b> readwrite.h:86</div></div>
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<div class="ttc" id="astruct_read_writer_html_a95367307acace2aa88226cf8956d2d88"><div class="ttname"><a href="struct_read_writer.html#a95367307acace2aa88226cf8956d2d88">ReadWriter::write_padded</a></div><div class="ttdeci">METAL_FUNC void write_padded(int length, const device float2 *w_k) const</div><div class="ttdef"><b>Definition</b> readwrite.h:163</div></div>
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<div class="ttc" id="astruct_read_writer_html_a998ef484bade81f726b9edfc6b878197"><div class="ttname"><a href="struct_read_writer.html#a998ef484bade81f726b9edfc6b878197">ReadWriter::load_strided</a></div><div class="ttdeci">METAL_FUNC void load_strided(int stride, int overall_n)</div><div class="ttdef"><b>Definition</b> readwrite.h:202</div></div>
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<div class="ttc" id="astruct_read_writer_html_ab555cec93b66eead607e6a03d9324e1c"><div class="ttname"><a href="struct_read_writer.html#ab555cec93b66eead607e6a03d9324e1c">ReadWriter::post_in</a></div><div class="ttdeci">METAL_FUNC float2 post_in(float2 elem) const</div><div class="ttdef"><b>Definition</b> readwrite.h:77</div></div>
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<div class="ttc" id="astruct_read_writer_html_ab6057215920138f28fd00f0e7ea8afa4"><div class="ttname"><a href="struct_read_writer.html#ab6057215920138f28fd00f0e7ea8afa4">ReadWriter::in</a></div><div class="ttdeci">const device in_T * in</div><div class="ttdef"><b>Definition</b> readwrite.h:36</div></div>
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<div class="ttc" id="astruct_read_writer_html_abea3b913c952c505d0ca4e529c7316ef"><div class="ttname"><a href="struct_read_writer.html#abea3b913c952c505d0ca4e529c7316ef">ReadWriter::out</a></div><div class="ttdeci">device out_T * out</div><div class="ttdef"><b>Definition</b> readwrite.h:38</div></div>
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<div class="ttc" id="astruct_read_writer_html_ac2ea71e41740ddc863890e3e8e6f09d0"><div class="ttname"><a href="struct_read_writer.html#ac2ea71e41740ddc863890e3e8e6f09d0">ReadWriter::write</a></div><div class="ttdeci">METAL_FUNC void write() const</div><div class="ttdef"><b>Definition</b> readwrite.h:123</div></div>
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<div class="ttc" id="astruct_read_writer_html_ac7a957f99873d3797081f5d620f3b2c8"><div class="ttname"><a href="struct_read_writer.html#ac7a957f99873d3797081f5d620f3b2c8">ReadWriter::grid</a></div><div class="ttdeci">uint3 grid</div><div class="ttdef"><b>Definition</b> readwrite.h:43</div></div>
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<div class="ttc" id="astruct_read_writer_html_ace40adb02cfb33d89c98353327c251fc"><div class="ttname"><a href="struct_read_writer.html#ace40adb02cfb33d89c98353327c251fc">ReadWriter::strided_shared_idx</a></div><div class="ttdeci">int strided_shared_idx</div><div class="ttdef"><b>Definition</b> readwrite.h:49</div></div>
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<div class="ttc" id="astruct_read_writer_html_add5bd3f647793a5a19d63197a19df73c"><div class="ttname"><a href="struct_read_writer.html#add5bd3f647793a5a19d63197a19df73c">ReadWriter::load_padded</a></div><div class="ttdeci">METAL_FUNC void load_padded(int length, const device float2 *w_k) const</div><div class="ttdef"><b>Definition</b> readwrite.h:146</div></div>
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