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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, <a class="el" href="metal_2kernels_2hadamard_8h.html#a590e5366adc78bab4fe44e37885d413f">radix_func</a>, 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:a7a83318497519ff3ff0141b7d511ed38" id="r_a7a83318497519ff3ff0141b7d511ed38"><td class="memItemLeft" align="right" valign="top">static constant constexpr const bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7a83318497519ff3ff0141b7d511ed38">inv_</a></td></tr>
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<tr class="separator:a7a83318497519ff3ff0141b7d511ed38"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2a4df90e329b84ee6c1890ba7c265c9c" id="r_a2a4df90e329b84ee6c1890ba7c265c9c"><td class="memItemLeft" align="right" valign="top">static constant constexpr const bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2a4df90e329b84ee6c1890ba7c265c9c">is_power_of_2_</a></td></tr>
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<tr class="separator:a2a4df90e329b84ee6c1890ba7c265c9c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad395c11e6f2aee72cd1928fba93a35a3" id="r_ad395c11e6f2aee72cd1928fba93a35a3"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ad395c11e6f2aee72cd1928fba93a35a3">elems_per_thread_</a></td></tr>
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<tr class="separator:ad395c11e6f2aee72cd1928fba93a35a3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac309c77ef775a3ef13850c5287a86480" id="r_ac309c77ef775a3ef13850c5287a86480"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ac309c77ef775a3ef13850c5287a86480">rader_m_</a></td></tr>
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<tr class="memitem:abb079b86e89ca88ce13a179d9ec566af" id="r_abb079b86e89ca88ce13a179d9ec566af"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#abb079b86e89ca88ce13a179d9ec566af">radix_13_steps_</a></td></tr>
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<tr class="memitem:a7cd17bff8bc567f71d4789ee31fa07f2" id="r_a7cd17bff8bc567f71d4789ee31fa07f2"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cd17bff8bc567f71d4789ee31fa07f2">radix_11_steps_</a></td></tr>
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<tr class="memitem:a3cb03a97a209ba1346375e720ee76177" id="r_a3cb03a97a209ba1346375e720ee76177"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a3cb03a97a209ba1346375e720ee76177">radix_8_steps_</a></td></tr>
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<tr class="memitem:a2145cc8ab4d07583a735317b3cf60d55" id="r_a2145cc8ab4d07583a735317b3cf60d55"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2145cc8ab4d07583a735317b3cf60d55">radix_7_steps_</a></td></tr>
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<tr class="memitem:a2f7f7cc2423cfcd4998d1a2a0363c3e2" id="r_a2f7f7cc2423cfcd4998d1a2a0363c3e2"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2f7f7cc2423cfcd4998d1a2a0363c3e2">radix_6_steps_</a></td></tr>
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<tr class="memitem:a903d5239b5f73577c559e97ff910892d" id="r_a903d5239b5f73577c559e97ff910892d"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a903d5239b5f73577c559e97ff910892d">radix_5_steps_</a></td></tr>
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<tr class="memitem:a12d99a846c3686806bab6c42148e1039" id="r_a12d99a846c3686806bab6c42148e1039"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a12d99a846c3686806bab6c42148e1039">radix_4_steps_</a></td></tr>
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<tr class="memitem:a579123b7be825f08f3076287dded08e3" id="r_a579123b7be825f08f3076287dded08e3"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a579123b7be825f08f3076287dded08e3">radix_3_steps_</a></td></tr>
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<tr class="memitem:a53fdc660e99e6b5db6808bbd596cd374" id="r_a53fdc660e99e6b5db6808bbd596cd374"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a53fdc660e99e6b5db6808bbd596cd374">radix_2_steps_</a></td></tr>
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<tr class="memitem:a20d24f3e040d3d226a70d4dd7c9ac6a9" id="r_a20d24f3e040d3d226a70d4dd7c9ac6a9"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a20d24f3e040d3d226a70d4dd7c9ac6a9">rader_13_steps_</a></td></tr>
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<tr class="memitem:a1f3c377d05da52429172e64132dba750" id="r_a1f3c377d05da52429172e64132dba750"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a1f3c377d05da52429172e64132dba750">rader_11_steps_</a></td></tr>
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<tr class="memitem:ac6123e111816dd62a11ccb86b66fa3e9" id="r_ac6123e111816dd62a11ccb86b66fa3e9"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ac6123e111816dd62a11ccb86b66fa3e9">rader_8_steps_</a></td></tr>
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<tr class="memitem:a0d437aef17faf8d9707ae7ffe68fdb30" id="r_a0d437aef17faf8d9707ae7ffe68fdb30"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a0d437aef17faf8d9707ae7ffe68fdb30">rader_7_steps_</a></td></tr>
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<tr class="memitem:a020469d1aca557ff1b49414f121dedbb" id="r_a020469d1aca557ff1b49414f121dedbb"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a020469d1aca557ff1b49414f121dedbb">rader_6_steps_</a></td></tr>
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<tr class="memitem:afea05e9a7105bafbaafca25042f4d1b4" id="r_afea05e9a7105bafbaafca25042f4d1b4"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#afea05e9a7105bafbaafca25042f4d1b4">rader_5_steps_</a></td></tr>
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<tr class="memitem:ac7c58404df0434d4f861db62d3471870" id="r_ac7c58404df0434d4f861db62d3471870"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ac7c58404df0434d4f861db62d3471870">rader_4_steps_</a></td></tr>
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<tr class="memitem:adb129cc3808c08fd95af9795bfc7ae63" id="r_adb129cc3808c08fd95af9795bfc7ae63"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#adb129cc3808c08fd95af9795bfc7ae63">rader_3_steps_</a></td></tr>
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<tr class="memitem:a2d725bfd4c30be4c605b5c4559a62892" id="r_a2d725bfd4c30be4c605b5c4559a62892"><td class="memItemLeft" align="right" valign="top">static constant constexpr const int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a2d725bfd4c30be4c605b5c4559a62892">rader_2_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 class="paramtype"></td> <td class="paramname"><span class="paramname"><em>radix</em></span>, </td>
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<b>Value:</b><div class="fragment"><div class="line"> <a class="code hl_function" href="#aba8d32e0911499671df93678f39da08b">radix_n_steps<radix, radix_func></a>( \</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:39</div></div>
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<div class="ttc" id="abackend_2metal_2kernels_2fft_8h_html_aba8d32e0911499671df93678f39da08b"><div class="ttname"><a href="#aba8d32e0911499671df93678f39da08b">radix_n_steps</a></div><div class="ttdeci">METAL_FUNC void radix_n_steps(int i, thread int *p, int m, int n, int num_steps, thread float2 *inputs, thread short *indices, thread float2 *values, threadgroup float2 *buf)</div><div class="ttdef"><b>Definition</b> fft.h:100</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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<h2 class="memtitle"><span class="permalink"><a href="#a4010b0e151e5f01e610e9c32234458c7">◆ </a></span>fft()</h2>
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<td class="paramtype">uint3</td> <td class="paramname"><span class="paramname"><em>grid</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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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>i</em></span>, </td>
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<td class="paramtype">thread float2 *</td> <td class="paramname"><span class="paramname"><em>x</em></span>, </td>
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<td class="paramtype">thread float2 *</td> <td class="paramname"><span class="paramname"><em>y</em></span> )</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="#ad395c11e6f2aee72cd1928fba93a35a3">◆ </a></span>elems_per_thread_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a7a83318497519ff3ff0141b7d511ed38">◆ </a></span>inv_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2a4df90e329b84ee6c1890ba7c265c9c">◆ </a></span>is_power_of_2_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a1f3c377d05da52429172e64132dba750">◆ </a></span>rader_11_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a20d24f3e040d3d226a70d4dd7c9ac6a9">◆ </a></span>rader_13_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2d725bfd4c30be4c605b5c4559a62892">◆ </a></span>rader_2_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#adb129cc3808c08fd95af9795bfc7ae63">◆ </a></span>rader_3_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac7c58404df0434d4f861db62d3471870">◆ </a></span>rader_4_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#afea05e9a7105bafbaafca25042f4d1b4">◆ </a></span>rader_5_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a020469d1aca557ff1b49414f121dedbb">◆ </a></span>rader_6_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a0d437aef17faf8d9707ae7ffe68fdb30">◆ </a></span>rader_7_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac6123e111816dd62a11ccb86b66fa3e9">◆ </a></span>rader_8_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac309c77ef775a3ef13850c5287a86480">◆ </a></span>rader_m_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a7cd17bff8bc567f71d4789ee31fa07f2">◆ </a></span>radix_11_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#abb079b86e89ca88ce13a179d9ec566af">◆ </a></span>radix_13_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a53fdc660e99e6b5db6808bbd596cd374">◆ </a></span>radix_2_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a579123b7be825f08f3076287dded08e3">◆ </a></span>radix_3_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a12d99a846c3686806bab6c42148e1039">◆ </a></span>radix_4_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a903d5239b5f73577c559e97ff910892d">◆ </a></span>radix_5_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f7f7cc2423cfcd4998d1a2a0363c3e2">◆ </a></span>radix_6_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a2145cc8ab4d07583a735317b3cf60d55">◆ </a></span>radix_7_steps_</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a3cb03a97a209ba1346375e720ee76177">◆ </a></span>radix_8_steps_</h2>
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