2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
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								< title > MLX: mlx/backend/metal/kernels/fft.h File Reference< / title > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< li  class = "navelem" > < a  class = "el"  href = "dir_938ab0ecf10b8b860ff766c820f665fd.html" > mlx< / a > < / li > < li  class = "navelem" > < a  class = "el"  href = "dir_1d446c9bd3c99228254c9484e0bc5c06.html" > backend< / a > < / li > < li  class = "navelem" > < a  class = "el"  href = "dir_d0c977ea65824390717cdb7efc36c157.html" > metal< / a > < / li > < li  class = "navelem" > < a  class = "el"  href = "dir_70a37effa88bcbd6b791977fa1e64356.html" > kernels< / a > < / li >   < / ul > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								  < div  class = "summary" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  href = "#define-members" > Macros< / a >  | 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  href = "#typedef-members" > Typedefs< / a >  | 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  href = "#func-members" > Functions< / a >  | 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  href = "#var-members" > Variables< / a >   < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < div  class = "headertitle" > < div  class = "title" > fft.h File Reference< / div > < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > <!-- header --> 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "contents" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "textblock" > < code > #include < metal_common> < / code > < br  / > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< code > #include " < a  class = "el"  href = "radix_8h_source.html" > mlx/backend/metal/kernels/fft/radix.h< / a > " < / code > < br  / > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< code > #include " < a  class = "el"  href = "readwrite_8h_source.html" > mlx/backend/metal/kernels/fft/readwrite.h< / a > " < / code > < br  / > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< code > #include " < a  class = "el"  href = "steel_2defines_8h_source.html" > mlx/backend/metal/kernels/steel/defines.h< / a > " < / code > < br  / > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< p > < a  href = "backend_2metal_2kernels_2fft_8h_source.html" > Go to the source code of this file.< / a > < / p > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "memberdecls" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "heading" > < td  colspan = "2" > < h2  class = "groupheader" > < a  id = "define-members"  name = "define-members" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								Macros< / h2 > < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a7b6e56afa21f022c5e754b000955735a" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a28d683cf067736d76f867f30c066317e" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a794032d3a9acff0e31c77c69d0007f10" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > < table  class = "memberdecls" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "heading" > < td  colspan = "2" > < h2  class = "groupheader" > < a  id = "typedef-members"  name = "typedef-members" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								Typedefs< / h2 > < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a6ba62eabfd5428644aabf89ddaa0128d" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > < table  class = "memberdecls" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "heading" > < td  colspan = "2" > < h2  class = "groupheader" > < a  id = "func-members"  name = "func-members" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								Functions< / h2 > < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a278d980ed397e6841ce0af44b9aa4396" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:aba8d32e0911499671df93678f39da08b" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a050ead8fa5cacdaec13d68ca3c0dcb81"  id = "r_a050ead8fa5cacdaec13d68ca3c0dcb81" > < td  class = "memTemplParams"  colspan = "2" > template< bool rader = false>  < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a050ead8fa5cacdaec13d68ca3c0dcb81" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a4010b0e151e5f01e610e9c32234458c7" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ad123452303f6415904f3592f660769b8" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a0abc609e9756475800e996775a96a87e" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a6558a8205ee4c3e4767bafa93f7606de" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > < table  class = "memberdecls" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "heading" > < td  colspan = "2" > < h2  class = "groupheader" > < a  id = "var-members"  name = "var-members" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								Variables< / h2 > < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a7a83318497519ff3ff0141b7d511ed38" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2a4df90e329b84ee6c1890ba7c265c9c" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ad395c11e6f2aee72cd1928fba93a35a3" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ac309c77ef775a3ef13850c5287a86480" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:abb079b86e89ca88ce13a179d9ec566af" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a7cd17bff8bc567f71d4789ee31fa07f2" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a3cb03a97a209ba1346375e720ee76177" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2145cc8ab4d07583a735317b3cf60d55" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2f7f7cc2423cfcd4998d1a2a0363c3e2" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a903d5239b5f73577c559e97ff910892d" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a12d99a846c3686806bab6c42148e1039" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a579123b7be825f08f3076287dded08e3" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a53fdc660e99e6b5db6808bbd596cd374" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a20d24f3e040d3d226a70d4dd7c9ac6a9" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a1f3c377d05da52429172e64132dba750" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ac6123e111816dd62a11ccb86b66fa3e9" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a0d437aef17faf8d9707ae7ffe68fdb30" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a020469d1aca557ff1b49414f121dedbb" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:afea05e9a7105bafbaafca25042f4d1b4" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ac7c58404df0434d4f861db62d3471870" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:adb129cc3808c08fd95af9795bfc7ae63" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2d725bfd4c30be4c605b5c4559a62892" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Macro Definition Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a28d683cf067736d76f867f30c066317e"  name = "a28d683cf067736d76f867f30c066317e" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a28d683cf067736d76f867f30c066317e" > ◆   < / a > < / span > MAX_OUTPUT_SIZE< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > #define MAX_OUTPUT_SIZE      18< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a7b6e56afa21f022c5e754b000955735a"  name = "a7b6e56afa21f022c5e754b000955735a" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a7b6e56afa21f022c5e754b000955735a" > ◆   < / a > < / span > MAX_RADIX< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > #define MAX_RADIX      13< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a794032d3a9acff0e31c77c69d0007f10"  name = "a794032d3a9acff0e31c77c69d0007f10" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a794032d3a9acff0e31c77c69d0007f10" > ◆   < / a > < / span > RADIX_STEP< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > #define RADIX_STEP< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > radix< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > < a  class = "el"  href = "metal_2kernels_2hadamard_8h.html#a590e5366adc78bab4fe44e37885d413f" > radix_func< / a > < / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > num_steps< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< b > Value:< / b > < div  class = "fragment" > < div  class = "line" >   < a  class = "code hl_function"  href = "#aba8d32e0911499671df93678f39da08b" > radix_n_steps< radix, radix_func> < / a > (              \< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-25 20:23:45 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< 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 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > <!--  fragment  --> 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Typedef Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6ba62eabfd5428644aabf89ddaa0128d"  name = "a6ba62eabfd5428644aabf89ddaa0128d" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6ba62eabfd5428644aabf89ddaa0128d" > ◆   < / a > < / span > RadixFunc< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > typedef void(* RadixFunc) (thread float2 *, thread float2 *)< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Function Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a0abc609e9756475800e996775a96a87e"  name = "a0abc609e9756475800e996775a96a87e" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a0abc609e9756475800e996775a96a87e" > ◆   < / a > < / span > bluestein_fft()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int tg_mem_size, typename in_T , typename out_T >  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > void bluestein_fft < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device in_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > in< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > device out_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > out< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > w_q< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > w_k< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > length< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > batch_size< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > elem< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > grid< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a4010b0e151e5f01e610e9c32234458c7"  name = "a4010b0e151e5f01e610e9c32234458c7" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a4010b0e151e5f01e610e9c32234458c7" > ◆   < / a > < / span > fft()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int tg_mem_size, typename in_T , typename out_T >  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > void fft < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device in_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > in< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > device out_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > out< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > batch_size< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > elem< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > grid< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6558a8205ee4c3e4767bafa93f7606de"  name = "a6558a8205ee4c3e4767bafa93f7606de" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6558a8205ee4c3e4767bafa93f7606de" > ◆   < / a > < / span > four_step_fft()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int tg_mem_size, typename in_T , typename out_T , int step, bool real = false>  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > void four_step_fft < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device in_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > in< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > device out_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > out< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n1< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n2< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > batch_size< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > elem< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > grid< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a050ead8fa5cacdaec13d68ca3c0dcb81"  name = "a050ead8fa5cacdaec13d68ca3c0dcb81" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a050ead8fa5cacdaec13d68ca3c0dcb81" > ◆   < / a > < / span > perform_fft()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< bool rader = false>  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC void perform_fft < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > fft_idx< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread int *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > p< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > m< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > threadgroup float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > buf< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ad123452303f6415904f3592f660769b8"  name = "ad123452303f6415904f3592f660769b8" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ad123452303f6415904f3592f660769b8" > ◆   < / a > < / span > rader_fft()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int tg_mem_size, typename in_T , typename out_T >  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > void rader_fft < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device in_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > in< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > device out_T *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > out< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > raders_b_q< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device short *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > raders_g_q< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > const device short *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > raders_g_minus_q< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > batch_size< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > constant const int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > rader_n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > elem< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > uint3< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > grid< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a278d980ed397e6841ce0af44b9aa4396"  name = "a278d980ed397e6841ce0af44b9aa4396" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a278d980ed397e6841ce0af44b9aa4396" > ◆   < / a > < / span > radix_butterfly()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int radix, < a  class = "el"  href = "#a6ba62eabfd5428644aabf89ddaa0128d" > RadixFunc< / a >  radix_func>  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC void radix_butterfly < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > i< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > p< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread short *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > indices< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "aba8d32e0911499671df93678f39da08b"  name = "aba8d32e0911499671df93678f39da08b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#aba8d32e0911499671df93678f39da08b" > ◆   < / a > < / span > radix_n_steps()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< int radix, < a  class = "el"  href = "#a6ba62eabfd5428644aabf89ddaa0128d" > RadixFunc< / a >  radix_func>  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC void radix_n_steps < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > i< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread int *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > p< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > m< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > n< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > num_steps< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > inputs< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread short *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > indices< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > values< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > threadgroup float2 *< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > buf< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Variable Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ad395c11e6f2aee72cd1928fba93a35a3"  name = "ad395c11e6f2aee72cd1928fba93a35a3" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ad395c11e6f2aee72cd1928fba93a35a3" > ◆   < / a > < / span > elems_per_thread_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int elems_per_thread_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a7a83318497519ff3ff0141b7d511ed38"  name = "a7a83318497519ff3ff0141b7d511ed38" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a7a83318497519ff3ff0141b7d511ed38" > ◆   < / a > < / span > inv_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const bool inv_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2a4df90e329b84ee6c1890ba7c265c9c"  name = "a2a4df90e329b84ee6c1890ba7c265c9c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2a4df90e329b84ee6c1890ba7c265c9c" > ◆   < / a > < / span > is_power_of_2_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const bool is_power_of_2_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a1f3c377d05da52429172e64132dba750"  name = "a1f3c377d05da52429172e64132dba750" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a1f3c377d05da52429172e64132dba750" > ◆   < / a > < / span > rader_11_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_11_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a20d24f3e040d3d226a70d4dd7c9ac6a9"  name = "a20d24f3e040d3d226a70d4dd7c9ac6a9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a20d24f3e040d3d226a70d4dd7c9ac6a9" > ◆   < / a > < / span > rader_13_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_13_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2d725bfd4c30be4c605b5c4559a62892"  name = "a2d725bfd4c30be4c605b5c4559a62892" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2d725bfd4c30be4c605b5c4559a62892" > ◆   < / a > < / span > rader_2_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_2_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "adb129cc3808c08fd95af9795bfc7ae63"  name = "adb129cc3808c08fd95af9795bfc7ae63" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#adb129cc3808c08fd95af9795bfc7ae63" > ◆   < / a > < / span > rader_3_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_3_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac7c58404df0434d4f861db62d3471870"  name = "ac7c58404df0434d4f861db62d3471870" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac7c58404df0434d4f861db62d3471870" > ◆   < / a > < / span > rader_4_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_4_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "afea05e9a7105bafbaafca25042f4d1b4"  name = "afea05e9a7105bafbaafca25042f4d1b4" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#afea05e9a7105bafbaafca25042f4d1b4" > ◆   < / a > < / span > rader_5_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_5_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a020469d1aca557ff1b49414f121dedbb"  name = "a020469d1aca557ff1b49414f121dedbb" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a020469d1aca557ff1b49414f121dedbb" > ◆   < / a > < / span > rader_6_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_6_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a0d437aef17faf8d9707ae7ffe68fdb30"  name = "a0d437aef17faf8d9707ae7ffe68fdb30" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a0d437aef17faf8d9707ae7ffe68fdb30" > ◆   < / a > < / span > rader_7_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_7_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac6123e111816dd62a11ccb86b66fa3e9"  name = "ac6123e111816dd62a11ccb86b66fa3e9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac6123e111816dd62a11ccb86b66fa3e9" > ◆   < / a > < / span > rader_8_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_8_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac309c77ef775a3ef13850c5287a86480"  name = "ac309c77ef775a3ef13850c5287a86480" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac309c77ef775a3ef13850c5287a86480" > ◆   < / a > < / span > rader_m_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int rader_m_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a7cd17bff8bc567f71d4789ee31fa07f2"  name = "a7cd17bff8bc567f71d4789ee31fa07f2" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a7cd17bff8bc567f71d4789ee31fa07f2" > ◆   < / a > < / span > radix_11_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_11_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "abb079b86e89ca88ce13a179d9ec566af"  name = "abb079b86e89ca88ce13a179d9ec566af" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#abb079b86e89ca88ce13a179d9ec566af" > ◆   < / a > < / span > radix_13_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_13_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a53fdc660e99e6b5db6808bbd596cd374"  name = "a53fdc660e99e6b5db6808bbd596cd374" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a53fdc660e99e6b5db6808bbd596cd374" > ◆   < / a > < / span > radix_2_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_2_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a579123b7be825f08f3076287dded08e3"  name = "a579123b7be825f08f3076287dded08e3" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a579123b7be825f08f3076287dded08e3" > ◆   < / a > < / span > radix_3_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_3_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a12d99a846c3686806bab6c42148e1039"  name = "a12d99a846c3686806bab6c42148e1039" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a12d99a846c3686806bab6c42148e1039" > ◆   < / a > < / span > radix_4_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_4_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a903d5239b5f73577c559e97ff910892d"  name = "a903d5239b5f73577c559e97ff910892d" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a903d5239b5f73577c559e97ff910892d" > ◆   < / a > < / span > radix_5_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_5_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2f7f7cc2423cfcd4998d1a2a0363c3e2"  name = "a2f7f7cc2423cfcd4998d1a2a0363c3e2" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2f7f7cc2423cfcd4998d1a2a0363c3e2" > ◆   < / a > < / span > radix_6_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_6_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2145cc8ab4d07583a735317b3cf60d55"  name = "a2145cc8ab4d07583a735317b3cf60d55" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2145cc8ab4d07583a735317b3cf60d55" > ◆   < / a > < / span > radix_7_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_7_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a3cb03a97a209ba1346375e720ee76177"  name = "a3cb03a97a209ba1346375e720ee76177" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a3cb03a97a209ba1346375e720ee76177" > ◆   < / a > < / span > radix_8_steps_< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< table  class = "mlabels" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-left" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > constant constexpr const int radix_8_steps_< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < td  class = "mlabels-right" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< span  class = "mlabels" > < span  class = "mlabel" > static< / span > < span  class = "mlabel" > constexpr< / span > < / span >   < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								  < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > <!--  contents  --> 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								<!--  start footer part  --> 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< hr  class = "footer" / > < address  class = "footer" > < small > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								Generated by  < a  href = "https://www.doxygen.org/index.html" > < img  class = "footer"  src = "doxygen.svg"  width = "104"  height = "31"  alt = "doxygen" / > < / a >  1.12.0
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / small > < / address > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< / body > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / html >