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<div class="headertitle"><div class="title">fft.h File Reference</div></div>
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<div class="textblock"><code>#include <metal_common></code><br />
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<code>#include "<a class="el" href="radix_8h_source.html">mlx/backend/metal/kernels/fft/radix.h</a>"</code><br />
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<code>#include "<a class="el" href="readwrite_8h_source.html">mlx/backend/metal/kernels/fft/readwrite.h</a>"</code><br />
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<code>#include "<a class="el" href="steel_2defines_8h_source.html">mlx/backend/metal/kernels/steel/defines.h</a>"</code><br />
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<p><a href="backend_2metal_2kernels_2fft_8h_source.html">Go to the source code of this file.</a></p>
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Macros</h2></td></tr>
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<tr class="memitem:a7b6e56afa21f022c5e754b000955735a" id="r_a7b6e56afa21f022c5e754b000955735a"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7b6e56afa21f022c5e754b000955735a">MAX_RADIX</a>   13</td></tr>
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<tr class="separator:a7b6e56afa21f022c5e754b000955735a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a28d683cf067736d76f867f30c066317e" id="r_a28d683cf067736d76f867f30c066317e"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="#a28d683cf067736d76f867f30c066317e">MAX_OUTPUT_SIZE</a>   18</td></tr>
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<tr class="separator:a28d683cf067736d76f867f30c066317e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a794032d3a9acff0e31c77c69d0007f10" id="r_a794032d3a9acff0e31c77c69d0007f10"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="#a794032d3a9acff0e31c77c69d0007f10">RADIX_STEP</a>(radix, radix_func, num_steps)</td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="typedef-members" name="typedef-members"></a>
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Typedefs</h2></td></tr>
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<tr class="memitem:a6ba62eabfd5428644aabf89ddaa0128d" id="r_a6ba62eabfd5428644aabf89ddaa0128d"><td class="memItemLeft" align="right" valign="top">typedef void(* </td><td class="memItemRight" valign="bottom"><a class="el" href="#a6ba62eabfd5428644aabf89ddaa0128d">RadixFunc</a>) (thread float2 *, thread float2 *)</td></tr>
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<tr class="separator:a6ba62eabfd5428644aabf89ddaa0128d"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a278d980ed397e6841ce0af44b9aa4396" id="r_a278d980ed397e6841ce0af44b9aa4396"><td class="memTemplParams" colspan="2">template<int radix, <a class="el" href="#a6ba62eabfd5428644aabf89ddaa0128d">RadixFunc</a> radix_func> </td></tr>
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<tr class="memitem:a278d980ed397e6841ce0af44b9aa4396"><td class="memTemplItemLeft" align="right" valign="top">METAL_FUNC void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a278d980ed397e6841ce0af44b9aa4396">radix_butterfly</a> (int i, int p, thread float2 *x, thread short *indices, thread float2 *y)</td></tr>
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<tr class="separator:a278d980ed397e6841ce0af44b9aa4396"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aba8d32e0911499671df93678f39da08b" id="r_aba8d32e0911499671df93678f39da08b"><td class="memTemplParams" colspan="2">template<int radix, <a class="el" href="#a6ba62eabfd5428644aabf89ddaa0128d">RadixFunc</a> radix_func> </td></tr>
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<tr class="memitem:aba8d32e0911499671df93678f39da08b"><td class="memTemplItemLeft" align="right" valign="top">METAL_FUNC void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#aba8d32e0911499671df93678f39da08b">radix_n_steps</a> (int i, thread int *p, int m, int n, int num_steps, thread float2 *inputs, thread short *indices, thread float2 *values, threadgroup float2 *<a class="el" href="backend_2metal_2allocator_8h.html#a15aa5cc1baf29be08d55cca88509e697">buf</a>)</td></tr>
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<tr class="separator:aba8d32e0911499671df93678f39da08b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a050ead8fa5cacdaec13d68ca3c0dcb81" id="r_a050ead8fa5cacdaec13d68ca3c0dcb81"><td class="memTemplParams" colspan="2">template<bool rader = false> </td></tr>
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<tr class="memitem:a050ead8fa5cacdaec13d68ca3c0dcb81"><td class="memTemplItemLeft" align="right" valign="top">METAL_FUNC void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a050ead8fa5cacdaec13d68ca3c0dcb81">perform_fft</a> (int fft_idx, thread int *p, int m, int n, threadgroup float2 *<a class="el" href="backend_2metal_2allocator_8h.html#a15aa5cc1baf29be08d55cca88509e697">buf</a>)</td></tr>
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<tr class="separator:a050ead8fa5cacdaec13d68ca3c0dcb81"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4010b0e151e5f01e610e9c32234458c7" id="r_a4010b0e151e5f01e610e9c32234458c7"><td class="memTemplParams" colspan="2">template<int tg_mem_size, typename in_T , typename out_T > </td></tr>
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<tr class="memitem:a4010b0e151e5f01e610e9c32234458c7"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a4010b0e151e5f01e610e9c32234458c7">fft</a> (const device in_T *in, device out_T *out, constant const int &n, constant const int &batch_size, uint3 elem, uint3 grid)</td></tr>
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<tr class="separator:a4010b0e151e5f01e610e9c32234458c7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad123452303f6415904f3592f660769b8" id="r_ad123452303f6415904f3592f660769b8"><td class="memTemplParams" colspan="2">template<int tg_mem_size, typename in_T , typename out_T > </td></tr>
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<tr class="memitem:ad123452303f6415904f3592f660769b8"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#ad123452303f6415904f3592f660769b8">rader_fft</a> (const device in_T *in, device out_T *out, const device float2 *raders_b_q, const device short *raders_g_q, const device short *raders_g_minus_q, constant const int &n, constant const int &batch_size, constant const int &rader_n, uint3 elem, uint3 grid)</td></tr>
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<tr class="memitem:a0abc609e9756475800e996775a96a87e" id="r_a0abc609e9756475800e996775a96a87e"><td class="memTemplParams" colspan="2">template<int tg_mem_size, typename in_T , typename out_T > </td></tr>
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<tr class="memitem:a0abc609e9756475800e996775a96a87e"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a0abc609e9756475800e996775a96a87e">bluestein_fft</a> (const device in_T *in, device out_T *out, const device float2 *w_q, const device float2 *w_k, constant const int &length, constant const int &n, constant const int &batch_size, uint3 elem, uint3 grid)</td></tr>
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<tr class="separator:a0abc609e9756475800e996775a96a87e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6558a8205ee4c3e4767bafa93f7606de" id="r_a6558a8205ee4c3e4767bafa93f7606de"><td class="memTemplParams" colspan="2">template<int tg_mem_size, typename in_T , typename out_T , int step, bool real = false> </td></tr>
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<tr class="memitem:a6558a8205ee4c3e4767bafa93f7606de"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a6558a8205ee4c3e4767bafa93f7606de">four_step_fft</a> (const device in_T *in, device out_T *out, constant const int &n1, constant const int &n2, constant const int &batch_size, uint3 elem, uint3 grid)</td></tr>
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<tr class="separator:a6558a8205ee4c3e4767bafa93f7606de"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="var-members" name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:a23a773ae455da5d0b9b5508ee2e7694b" id="r_a23a773ae455da5d0b9b5508ee2e7694b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a23a773ae455da5d0b9b5508ee2e7694b">inv_</a></td></tr>
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<tr class="memitem:abeb0f8d030ee27c89882b87eed13be2d" id="r_abeb0f8d030ee27c89882b87eed13be2d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#abeb0f8d030ee27c89882b87eed13be2d">is_power_of_2_</a></td></tr>
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<tr class="memitem:acf9b1130c134093453d15eee02683c94" id="r_acf9b1130c134093453d15eee02683c94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int </td><td class="memItemRight" valign="bottom"><a class="el" href="#acf9b1130c134093453d15eee02683c94">elems_per_thread_</a></td></tr>
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<tr class="memitem:a40c698855591f5d73b0d9258049571a2" id="r_a40c698855591f5d73b0d9258049571a2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a40c698855591f5d73b0d9258049571a2">radix_13_steps_</a></td></tr>
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<tr class="memitem:af17a5682878a88283d995f2ca37681e4" id="r_af17a5682878a88283d995f2ca37681e4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int </td><td class="memItemRight" valign="bottom"><a class="el" href="#af17a5682878a88283d995f2ca37681e4">radix_11_steps_</a></td></tr>
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<h2 class="groupheader">Macro Definition Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a28d683cf067736d76f867f30c066317e">◆ </a></span>MAX_OUTPUT_SIZE</h2>
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<td class="memname">#define MAX_OUTPUT_SIZE   18</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b6e56afa21f022c5e754b000955735a">◆ </a></span>MAX_RADIX</h2>
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<td class="memname">#define MAX_RADIX   13</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a794032d3a9acff0e31c77c69d0007f10">◆ </a></span>RADIX_STEP</h2>
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<td class="memname">#define RADIX_STEP</td>
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<td>(</td>
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<td class="paramtype"></td> <td class="paramname"><span class="paramname">radix, </span></td>
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<td class="paramtype"></td> <td class="paramname"><span class="paramname">num_steps</span> )</td>
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<b>Value:</b><div class="fragment"><div class="line"> radix_n_steps<radix, radix_func>( \</div>
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<div class="line"> fft_idx, p, m, n, num_steps, inputs, indices, values, <a class="code hl_variable" href="backend_2metal_2allocator_8h.html#a15aa5cc1baf29be08d55cca88509e697">buf</a>);</div>
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<div class="ttc" id="abackend_2metal_2allocator_8h_html_a15aa5cc1baf29be08d55cca88509e697"><div class="ttname"><a href="backend_2metal_2allocator_8h.html#a15aa5cc1baf29be08d55cca88509e697">buf</a></div><div class="ttdeci">MTL::Buffer * buf</div><div class="ttdef"><b>Definition</b> allocator.h:38</div></div>
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<h2 class="groupheader">Typedef Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a6ba62eabfd5428644aabf89ddaa0128d">◆ </a></span>RadixFunc</h2>
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<td class="memname">typedef void(* RadixFunc) (thread float2 *, thread float2 *)</td>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0abc609e9756475800e996775a96a87e">◆ </a></span>bluestein_fft()</h2>
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template<int tg_mem_size, typename in_T , typename out_T > </div>
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<td class="memname">void bluestein_fft </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a4010b0e151e5f01e610e9c32234458c7">◆ </a></span>fft()</h2>
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<td class="memname">void fft </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a6558a8205ee4c3e4767bafa93f7606de">◆ </a></span>four_step_fft()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ad123452303f6415904f3592f660769b8">◆ </a></span>rader_fft()</h2>
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template<int tg_mem_size, typename in_T , typename out_T > </div>
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<td class="memname">void rader_fft </td>
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<td class="paramtype">const device float2 *</td> <td class="paramname"><span class="paramname"><em>raders_b_q</em>, </span></td>
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<td class="paramtype">const device short *</td> <td class="paramname"><span class="paramname"><em>raders_g_q</em>, </span></td>
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<td class="paramtype">const device short *</td> <td class="paramname"><span class="paramname"><em>raders_g_minus_q</em>, </span></td>
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<td class="paramtype">constant const int &</td> <td class="paramname"><span class="paramname"><em>n</em>, </span></td>
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<td class="paramtype">constant const int &</td> <td class="paramname"><span class="paramname"><em>batch_size</em>, </span></td>
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<td class="paramtype">constant const int &</td> <td class="paramname"><span class="paramname"><em>rader_n</em>, </span></td>
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<h2 class="memtitle"><span class="permalink"><a href="#a278d980ed397e6841ce0af44b9aa4396">◆ </a></span>radix_butterfly()</h2>
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template<int radix, <a class="el" href="#a6ba62eabfd5428644aabf89ddaa0128d">RadixFunc</a> radix_func> </div>
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<td class="memname">METAL_FUNC void radix_butterfly </td>
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<h2 class="memtitle"><span class="permalink"><a href="#aba8d32e0911499671df93678f39da08b">◆ </a></span>radix_n_steps()</h2>
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template<int radix, <a class="el" href="#a6ba62eabfd5428644aabf89ddaa0128d">RadixFunc</a> radix_func> </div>
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<td class="memname">METAL_FUNC void radix_n_steps </td>
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<td class="paramtype">threadgroup float2 *</td> <td class="paramname"><span class="paramname"><em>buf</em></span> )</td>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#acf9b1130c134093453d15eee02683c94">◆ </a></span>elems_per_thread_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int elems_per_thread_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a23a773ae455da5d0b9b5508ee2e7694b">◆ </a></span>inv_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> bool inv_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#abeb0f8d030ee27c89882b87eed13be2d">◆ </a></span>is_power_of_2_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> bool is_power_of_2_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1538cb224d84bfedf6655f8ea05aac8">◆ </a></span>rader_11_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_11_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a7fe88d81170dc4e2e8993c58b887dce6">◆ </a></span>rader_13_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_13_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a6faebd7ba948a4b572b7933f6d3b8646">◆ </a></span>rader_2_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_2_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aab5dd8c9141fbee09048ba6837ab8aae">◆ </a></span>rader_3_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_3_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#add993232d88c3203960852a6de6a03c3">◆ </a></span>rader_4_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_4_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ad64f06afe2ff8ada7449556e1c41b39a">◆ </a></span>rader_5_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_5_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a97d2f30278a31635497d7c6c3443206a">◆ </a></span>rader_6_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_6_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a9946b98d3350cb1b3c08ad4f7b67f880">◆ </a></span>rader_7_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#adb9b3944eb792a4f518b5e151a3e1591">◆ </a></span>rader_8_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_8_steps_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a5d03e78eedb9a084645f8f63185bcf2f">◆ </a></span>rader_m_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int rader_m_</td>
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<h2 class="memtitle"><span class="permalink"><a href="#af17a5682878a88283d995f2ca37681e4">◆ </a></span>radix_11_steps_</h2>
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<td class="memname"><a class="el" href="steel_2defines_8h.html#a90b91c866313ffa46eff6d9cc944ad2b">STEEL_CONST</a> int radix_2_steps_</td>
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