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								< tr  class = "memitem:" > < td  class = "memItemLeft"  align = "right"  valign = "top" > struct   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "structmetal_1_1pointer__element_3_01threadgroup_01_t_01_5_01_4.html" > pointer_element<  threadgroup T * > < / a > < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
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								< tr  class = "separator:" > < 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:a192322c772aa8b168d59edc55fb806f1"  id = "r_a192322c772aa8b168d59edc55fb806f1" > < td  class = "memTemplParams"  colspan = "2" > template< typename... Ts>  < / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a192322c772aa8b168d59edc55fb806f1" > < td  class = "memTemplItemLeft"  align = "right"  valign = "top" > using  < / td > < td  class = "memTemplItemRight"  valign = "bottom" > < a  class = "el"  href = "#a192322c772aa8b168d59edc55fb806f1" > void_t< / a >  = typename < a  class = "el"  href = "structmetal_1_1make__void.html" > make_void< / a > < Ts...> ::type< / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a192322c772aa8b168d59edc55fb806f1" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2025-01-09 21:56:20 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ac82ee6c3fbe9ec5c78c07329424aaec9"  id = "r_ac82ee6c3fbe9ec5c78c07329424aaec9" > < td  class = "memTemplParams"  colspan = "2" > template< typename T>  < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-31 03:00:19 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ac82ee6c3fbe9ec5c78c07329424aaec9" > < td  class = "memTemplItemLeft"  align = "right"  valign = "top" > using  < / td > < td  class = "memTemplItemRight"  valign = "bottom" > < a  class = "el"  href = "#ac82ee6c3fbe9ec5c78c07329424aaec9" > pointer_element_t< / a >  = typename < a  class = "el"  href = "structmetal_1_1pointer__element.html" > pointer_element< / a > < remove_cv_t< T> > ::type< / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ac82ee6c3fbe9ec5c78c07329424aaec9" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< / 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 > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a87c5122c60f9a12afceb9925a5b78ffb"  id = "r_a87c5122c60f9a12afceb9925a5b78ffb" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a87c5122c60f9a12afceb9925a5b78ffb" > abs< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a87c5122c60f9a12afceb9925a5b78ffb" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ad4537748b3c832b6569ff7ccb209fcb2"  id = "r_ad4537748b3c832b6569ff7ccb209fcb2" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#ad4537748b3c832b6569ff7ccb209fcb2" > acos< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ad4537748b3c832b6569ff7ccb209fcb2" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a2d0efb92b7f61eff342d776bd6c5f3a0"  id = "r_a2d0efb92b7f61eff342d776bd6c5f3a0" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a2d0efb92b7f61eff342d776bd6c5f3a0" > acosh< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2d0efb92b7f61eff342d776bd6c5f3a0" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a16e843194df3fd136404bf80ba5ac95c"  id = "r_a16e843194df3fd136404bf80ba5ac95c" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a16e843194df3fd136404bf80ba5ac95c" > asin< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a16e843194df3fd136404bf80ba5ac95c" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:abcc3251866930cfe880f89e7473d0e63"  id = "r_abcc3251866930cfe880f89e7473d0e63" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#abcc3251866930cfe880f89e7473d0e63" > asinh< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:abcc3251866930cfe880f89e7473d0e63" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a80a771553d9a0012b93620d19c48b00f"  id = "r_a80a771553d9a0012b93620d19c48b00f" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a80a771553d9a0012b93620d19c48b00f" > atan< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  y_over_x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a80a771553d9a0012b93620d19c48b00f" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a1d430793eaa38ccf0d07145e3fcd1e61"  id = "r_a1d430793eaa38ccf0d07145e3fcd1e61" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a1d430793eaa38ccf0d07145e3fcd1e61" > atan2< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  y, < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a1d430793eaa38ccf0d07145e3fcd1e61" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a57116427997ba71dd3863bfb15de33bf"  id = "r_a57116427997ba71dd3863bfb15de33bf" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a57116427997ba71dd3863bfb15de33bf" > atanh< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a57116427997ba71dd3863bfb15de33bf" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ad63204d38bc01df6ffc64583f7886b3c"  id = "r_ad63204d38bc01df6ffc64583f7886b3c" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#ad63204d38bc01df6ffc64583f7886b3c" > ceil< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ad63204d38bc01df6ffc64583f7886b3c" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a2fa4778a6fe2fa43253ea724e5a608a3"  id = "r_a2fa4778a6fe2fa43253ea724e5a608a3" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a2fa4778a6fe2fa43253ea724e5a608a3" > cos< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a2fa4778a6fe2fa43253ea724e5a608a3" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a8a68a88cc110830d057dbd71431b93c0"  id = "r_a8a68a88cc110830d057dbd71431b93c0" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a8a68a88cc110830d057dbd71431b93c0" > cosh< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a8a68a88cc110830d057dbd71431b93c0" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a5c2f37939ad705ddea4409d3bedb8ce1"  id = "r_a5c2f37939ad705ddea4409d3bedb8ce1" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a5c2f37939ad705ddea4409d3bedb8ce1" > cospi< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a5c2f37939ad705ddea4409d3bedb8ce1" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a2aea493fc1a874970b77ed0031e965df"  id = "r_a2aea493fc1a874970b77ed0031e965df" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a2aea493fc1a874970b77ed0031e965df" > divide< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  x, < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  y)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
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								< tr  class = "memitem:a5138d5cdc18139e135707916a243cd8e"  id = "r_a5138d5cdc18139e135707916a243cd8e" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a5138d5cdc18139e135707916a243cd8e" > simd_shuffle_and_fill_up< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data, < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  filling_data, ushort delta)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
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								< tr  class = "separator:a4bb203647a421032db47e73cd649841b" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
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								< tr  class = "memitem:a729b22077d6c944491a6027c18ea80c9"  id = "r_a729b22077d6c944491a6027c18ea80c9" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a729b22077d6c944491a6027c18ea80c9" > simd_shuffle_rotate_up< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data, ushort delta)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a729b22077d6c944491a6027c18ea80c9" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:afe81c5fbde3f4890458b081909242c55"  id = "r_afe81c5fbde3f4890458b081909242c55" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#afe81c5fbde3f4890458b081909242c55" > simd_shuffle_up< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data, ushort delta)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:afe81c5fbde3f4890458b081909242c55" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a5017efc9605e069cfb507137cd1a1852"  id = "r_a5017efc9605e069cfb507137cd1a1852" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a5017efc9605e069cfb507137cd1a1852" > simd_shuffle_xor< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data, ushort mask)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a5017efc9605e069cfb507137cd1a1852" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a048cad0aca52cb737ebf103e76bd1c49"  id = "r_a048cad0aca52cb737ebf103e76bd1c49" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a048cad0aca52cb737ebf103e76bd1c49" > simd_max< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a048cad0aca52cb737ebf103e76bd1c49" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ae9e2a23e00724ba2d7868bc4112b386b"  id = "r_ae9e2a23e00724ba2d7868bc4112b386b" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#ae9e2a23e00724ba2d7868bc4112b386b" > simd_min< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ae9e2a23e00724ba2d7868bc4112b386b" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a5ca40242390b632f737e29636829b2e4"  id = "r_a5ca40242390b632f737e29636829b2e4" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a5ca40242390b632f737e29636829b2e4" > simd_prefix_exclusive_product< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a5ca40242390b632f737e29636829b2e4" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:abfbb70c7471f28bf7ff36a612ad014b2"  id = "r_abfbb70c7471f28bf7ff36a612ad014b2" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#abfbb70c7471f28bf7ff36a612ad014b2" > simd_prefix_exclusive_sum< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
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								< tr  class = "separator:abfbb70c7471f28bf7ff36a612ad014b2" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a6ca6a7e1996228fa536e969e9e45c446"  id = "r_a6ca6a7e1996228fa536e969e9e45c446" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a6ca6a7e1996228fa536e969e9e45c446" > simd_prefix_inclusive_product< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a6ca6a7e1996228fa536e969e9e45c446" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a567acb18199ac0107712eb8cb8aeb8e9"  id = "r_a567acb18199ac0107712eb8cb8aeb8e9" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a567acb18199ac0107712eb8cb8aeb8e9" > simd_prefix_inclusive_sum< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a567acb18199ac0107712eb8cb8aeb8e9" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:ac6e883a04e2265a9790d7db76059e1b4"  id = "r_ac6e883a04e2265a9790d7db76059e1b4" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#ac6e883a04e2265a9790d7db76059e1b4" > simd_product< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:ac6e883a04e2265a9790d7db76059e1b4" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a85181e37a00cb4a4217f1bb25389bce5"  id = "r_a85181e37a00cb4a4217f1bb25389bce5" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a85181e37a00cb4a4217f1bb25389bce5" > simd_sum< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a85181e37a00cb4a4217f1bb25389bce5" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a1308decbf2d5c33d34d6be523ea1c30f"  id = "r_a1308decbf2d5c33d34d6be523ea1c30f" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >   < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a1308decbf2d5c33d34d6be523ea1c30f" > simd_xor< / a >  (< a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  data)< / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a1308decbf2d5c33d34d6be523ea1c30f" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< tr  class = "memitem:a83320ba983d90dd1fa5847b6940dc0bb"  id = "r_a83320ba983d90dd1fa5847b6940dc0bb" > < td  class = "memItemLeft"  align = "right"  valign = "top" > METAL_FUNC bool  < / td > < td  class = "memItemRight"  valign = "bottom" > < a  class = "el"  href = "#a83320ba983d90dd1fa5847b6940dc0bb" > isnan< / a >  (< a  class = "el"  href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a >  x)< / td > < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< tr  class = "separator:a83320ba983d90dd1fa5847b6940dc0bb" > < td  class = "memSeparator"  colspan = "2" >   < / td > < / tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< / table > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-31 03:00:19 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Typedef Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac82ee6c3fbe9ec5c78c07329424aaec9"  name = "ac82ee6c3fbe9ec5c78c07329424aaec9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac82ee6c3fbe9ec5c78c07329424aaec9" > ◆   < / a > < / span > pointer_element_t< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
									
										
										
										
											2025-01-09 21:56:20 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								template< typename T>  < / div > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-31 03:00:19 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > using < a  class = "el"  href = "#ac82ee6c3fbe9ec5c78c07329424aaec9" > metal::pointer_element_t< / a >  = typename < a  class = "el"  href = "structmetal_1_1pointer__element.html" > pointer_element< / a > < remove_cv_t< T> > ::type< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a192322c772aa8b168d59edc55fb806f1"  name = "a192322c772aa8b168d59edc55fb806f1" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a192322c772aa8b168d59edc55fb806f1" > ◆   < / a > < / span > void_t< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memtemplate" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								template< typename... Ts>  < / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > using < a  class = "el"  href = "#a192322c772aa8b168d59edc55fb806f1" > metal::void_t< / a >  = typename < a  class = "el"  href = "structmetal_1_1make__void.html" > make_void< / a > < Ts...> ::type< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "groupheader" > Function Documentation< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a87c5122c60f9a12afceb9925a5b78ffb"  name = "a87c5122c60f9a12afceb9925a5b78ffb" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a87c5122c60f9a12afceb9925a5b78ffb" > ◆   < / a > < / span > abs()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::abs < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ad4537748b3c832b6569ff7ccb209fcb2"  name = "ad4537748b3c832b6569ff7ccb209fcb2" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ad4537748b3c832b6569ff7ccb209fcb2" > ◆   < / a > < / span > acos()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::acos < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2d0efb92b7f61eff342d776bd6c5f3a0"  name = "a2d0efb92b7f61eff342d776bd6c5f3a0" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2d0efb92b7f61eff342d776bd6c5f3a0" > ◆   < / a > < / span > acosh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::acosh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "a16e843194df3fd136404bf80ba5ac95c"  name = "a16e843194df3fd136404bf80ba5ac95c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a16e843194df3fd136404bf80ba5ac95c" > ◆   < / a > < / span > asin()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::asin < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "abcc3251866930cfe880f89e7473d0e63"  name = "abcc3251866930cfe880f89e7473d0e63" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#abcc3251866930cfe880f89e7473d0e63" > ◆   < / a > < / span > asinh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::asinh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a80a771553d9a0012b93620d19c48b00f"  name = "a80a771553d9a0012b93620d19c48b00f" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a80a771553d9a0012b93620d19c48b00f" > ◆   < / a > < / span > atan()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::atan < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y_over_x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a1d430793eaa38ccf0d07145e3fcd1e61"  name = "a1d430793eaa38ccf0d07145e3fcd1e61" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a1d430793eaa38ccf0d07145e3fcd1e61" > ◆   < / a > < / span > atan2()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::atan2 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a57116427997ba71dd3863bfb15de33bf"  name = "a57116427997ba71dd3863bfb15de33bf" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a57116427997ba71dd3863bfb15de33bf" > ◆   < / a > < / span > atanh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::atanh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ad63204d38bc01df6ffc64583f7886b3c"  name = "ad63204d38bc01df6ffc64583f7886b3c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ad63204d38bc01df6ffc64583f7886b3c" > ◆   < / a > < / span > ceil()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::ceil < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2fa4778a6fe2fa43253ea724e5a608a3"  name = "a2fa4778a6fe2fa43253ea724e5a608a3" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2fa4778a6fe2fa43253ea724e5a608a3" > ◆   < / a > < / span > cos()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::cos < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a8a68a88cc110830d057dbd71431b93c0"  name = "a8a68a88cc110830d057dbd71431b93c0" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a8a68a88cc110830d057dbd71431b93c0" > ◆   < / a > < / span > cosh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::cosh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a5c2f37939ad705ddea4409d3bedb8ce1"  name = "a5c2f37939ad705ddea4409d3bedb8ce1" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a5c2f37939ad705ddea4409d3bedb8ce1" > ◆   < / a > < / span > cospi()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::cospi < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2aea493fc1a874970b77ed0031e965df"  name = "a2aea493fc1a874970b77ed0031e965df" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2aea493fc1a874970b77ed0031e965df" > ◆   < / a > < / span > divide()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::divide < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac2a0b3618d922ac014baac8189d44650"  name = "ac2a0b3618d922ac014baac8189d44650" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac2a0b3618d922ac014baac8189d44650" > ◆   < / a > < / span > exp()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::exp < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a4c63707d13c89364496a48906631c204"  name = "a4c63707d13c89364496a48906631c204" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a4c63707d13c89364496a48906631c204" > ◆   < / a > < / span > exp10()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::exp10 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a228201c20777848804a4d0589c1d33e7"  name = "a228201c20777848804a4d0589c1d33e7" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a228201c20777848804a4d0589c1d33e7" > ◆   < / a > < / span > exp2()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::exp2 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a487eba718144be1325abcf66e109bb21"  name = "a487eba718144be1325abcf66e109bb21" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a487eba718144be1325abcf66e109bb21" > ◆   < / a > < / span > fabs()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fabs < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a85a560794be56d8116889c1ee2d78761"  name = "a85a560794be56d8116889c1ee2d78761" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a85a560794be56d8116889c1ee2d78761" > ◆   < / a > < / span > fdim()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fdim < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a020790f30c28a9982c4a83deaa258277"  name = "a020790f30c28a9982c4a83deaa258277" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a020790f30c28a9982c4a83deaa258277" > ◆   < / a > < / span > floor()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::floor < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6301a78d69ff14a06194ca85a0c7d326"  name = "a6301a78d69ff14a06194ca85a0c7d326" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6301a78d69ff14a06194ca85a0c7d326" > ◆   < / a > < / span > fma()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fma < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a0558e56fdb94b456deea6a4eb53964ed"  name = "a0558e56fdb94b456deea6a4eb53964ed" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a0558e56fdb94b456deea6a4eb53964ed" > ◆   < / a > < / span > fmax()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmax < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae0c1a7ba1a7449adc64d00b2a29e67f6"  name = "ae0c1a7ba1a7449adc64d00b2a29e67f6" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae0c1a7ba1a7449adc64d00b2a29e67f6" > ◆   < / a > < / span > fmax3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmax3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "aa35227450d943fb88cf43162aa9d8c49"  name = "aa35227450d943fb88cf43162aa9d8c49" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#aa35227450d943fb88cf43162aa9d8c49" > ◆   < / a > < / span > fmedian3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmedian3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a66ac19825ea79b8294e243ae6d0b3d3c"  name = "a66ac19825ea79b8294e243ae6d0b3d3c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a66ac19825ea79b8294e243ae6d0b3d3c" > ◆   < / a > < / span > fmin()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmin < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae2acd25f2241f00aaf89ff48f132a879"  name = "ae2acd25f2241f00aaf89ff48f132a879" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae2acd25f2241f00aaf89ff48f132a879" > ◆   < / a > < / span > fmin3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmin3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a2ff952d4d596a7969b2a3035fc2fda58"  name = "a2ff952d4d596a7969b2a3035fc2fda58" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a2ff952d4d596a7969b2a3035fc2fda58" > ◆   < / a > < / span > fmod()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fmod < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6b1c15d251aeaacb1f4338a5e152ae78"  name = "a6b1c15d251aeaacb1f4338a5e152ae78" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6b1c15d251aeaacb1f4338a5e152ae78" > ◆   < / a > < / span > fract()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::fract < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac89d4ef524d21a301da6c37dbd95ff9f"  name = "ac89d4ef524d21a301da6c37dbd95ff9f" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac89d4ef524d21a301da6c37dbd95ff9f" > ◆   < / a > < / span > frexp()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::frexp < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > thread int & < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > exp< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a83320ba983d90dd1fa5847b6940dc0bb"  name = "a83320ba983d90dd1fa5847b6940dc0bb" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a83320ba983d90dd1fa5847b6940dc0bb" > ◆   < / a > < / span > isnan()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC bool metal::isnan < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a3deed001738b6f03accd3c2195586c2b"  name = "a3deed001738b6f03accd3c2195586c2b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a3deed001738b6f03accd3c2195586c2b" > ◆   < / a > < / span > ldexp()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::ldexp < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > int< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > k< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a423a9f4f2fc7ef5ec7eda061277b51b6"  name = "a423a9f4f2fc7ef5ec7eda061277b51b6" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a423a9f4f2fc7ef5ec7eda061277b51b6" > ◆   < / a > < / span > log()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::log < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a042b98827baa910e9d726227cec55a80"  name = "a042b98827baa910e9d726227cec55a80" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a042b98827baa910e9d726227cec55a80" > ◆   < / a > < / span > log10()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::log10 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae894dd5fc13799f120b55cab6267c89c"  name = "ae894dd5fc13799f120b55cab6267c89c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae894dd5fc13799f120b55cab6267c89c" > ◆   < / a > < / span > log2()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::log2 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a853c80479ab2264d9c4587c7bcac767b"  name = "a853c80479ab2264d9c4587c7bcac767b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a853c80479ab2264d9c4587c7bcac767b" > ◆   < / a > < / span > max()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::max < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a00f9c0ad66d969794614f56912eed9c9"  name = "a00f9c0ad66d969794614f56912eed9c9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a00f9c0ad66d969794614f56912eed9c9" > ◆   < / a > < / span > max3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::max3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "aa3ff49457ce3c93fc1c0897fd1525157"  name = "aa3ff49457ce3c93fc1c0897fd1525157" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#aa3ff49457ce3c93fc1c0897fd1525157" > ◆   < / a > < / span > median3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::median3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6653b28c9473087141eddce39878d4d3"  name = "a6653b28c9473087141eddce39878d4d3" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6653b28c9473087141eddce39878d4d3" > ◆   < / a > < / span > min()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::min < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a005510c8c0f964ce2b8aad3ba76a7a3f"  name = "a005510c8c0f964ce2b8aad3ba76a7a3f" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a005510c8c0f964ce2b8aad3ba76a7a3f" > ◆   < / a > < / span > min3()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::min3 < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > z< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a9547fd7b09164931986f6db4813bd72d"  name = "a9547fd7b09164931986f6db4813bd72d" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a9547fd7b09164931986f6db4813bd72d" > ◆   < / a > < / span > nextafter()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::nextafter < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "acd288d4552215bd10455584a214c57b8"  name = "acd288d4552215bd10455584a214c57b8" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#acd288d4552215bd10455584a214c57b8" > ◆   < / a > < / span > pow()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::pow < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae529e431f178bafedc18a889323c0bc2"  name = "ae529e431f178bafedc18a889323c0bc2" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae529e431f178bafedc18a889323c0bc2" > ◆   < / a > < / span > powr()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::powr < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > y< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a29ab6060527120eee745aec0daa06e01"  name = "a29ab6060527120eee745aec0daa06e01" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a29ab6060527120eee745aec0daa06e01" > ◆   < / a > < / span > rint()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::rint < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a46c667e169ff9d51a9204a045305442f"  name = "a46c667e169ff9d51a9204a045305442f" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a46c667e169ff9d51a9204a045305442f" > ◆   < / a > < / span > round()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::round < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a1cf4b605c0aa7ff5bfe5e979a16f5157"  name = "a1cf4b605c0aa7ff5bfe5e979a16f5157" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a1cf4b605c0aa7ff5bfe5e979a16f5157" > ◆   < / a > < / span > rsqrt()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::rsqrt < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a498f1e85107eb5f01ba4435977f8efe0"  name = "a498f1e85107eb5f01ba4435977f8efe0" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a498f1e85107eb5f01ba4435977f8efe0" > ◆   < / a > < / span > simd_broadcast()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_broadcast < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > broadcast_lane_id< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a048cad0aca52cb737ebf103e76bd1c49"  name = "a048cad0aca52cb737ebf103e76bd1c49" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a048cad0aca52cb737ebf103e76bd1c49" > ◆   < / a > < / span > simd_max()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_max < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae9e2a23e00724ba2d7868bc4112b386b"  name = "ae9e2a23e00724ba2d7868bc4112b386b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae9e2a23e00724ba2d7868bc4112b386b" > ◆   < / a > < / span > simd_min()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_min < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a5ca40242390b632f737e29636829b2e4"  name = "a5ca40242390b632f737e29636829b2e4" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a5ca40242390b632f737e29636829b2e4" > ◆   < / a > < / span > simd_prefix_exclusive_product()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_prefix_exclusive_product < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "abfbb70c7471f28bf7ff36a612ad014b2"  name = "abfbb70c7471f28bf7ff36a612ad014b2" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#abfbb70c7471f28bf7ff36a612ad014b2" > ◆   < / a > < / span > simd_prefix_exclusive_sum()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_prefix_exclusive_sum < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a6ca6a7e1996228fa536e969e9e45c446"  name = "a6ca6a7e1996228fa536e969e9e45c446" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a6ca6a7e1996228fa536e969e9e45c446" > ◆   < / a > < / span > simd_prefix_inclusive_product()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_prefix_inclusive_product < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a567acb18199ac0107712eb8cb8aeb8e9"  name = "a567acb18199ac0107712eb8cb8aeb8e9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a567acb18199ac0107712eb8cb8aeb8e9" > ◆   < / a > < / span > simd_prefix_inclusive_sum()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_prefix_inclusive_sum < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ac6e883a04e2265a9790d7db76059e1b4"  name = "ac6e883a04e2265a9790d7db76059e1b4" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ac6e883a04e2265a9790d7db76059e1b4" > ◆   < / a > < / span > simd_product()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_product < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a259ed115bc3c58f88eb35830916b26d4"  name = "a259ed115bc3c58f88eb35830916b26d4" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a259ed115bc3c58f88eb35830916b26d4" > ◆   < / a > < / span > simd_shuffle()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > simd_lane_id< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a0ee6239fa29a5f9ee0201e0dc5ddc8e0"  name = "a0ee6239fa29a5f9ee0201e0dc5ddc8e0" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a0ee6239fa29a5f9ee0201e0dc5ddc8e0" > ◆   < / a > < / span > simd_shuffle_and_fill_down() < span  class = "overload" > [1/2]< / span > < / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_and_fill_down < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > filling_data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae29a06f0eac636ad7af21dea5b04938b"  name = "ae29a06f0eac636ad7af21dea5b04938b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae29a06f0eac636ad7af21dea5b04938b" > ◆   < / a > < / span > simd_shuffle_and_fill_down() < span  class = "overload" > [2/2]< / span > < / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_and_fill_down < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > filling_data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > modulo< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "a5138d5cdc18139e135707916a243cd8e"  name = "a5138d5cdc18139e135707916a243cd8e" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a5138d5cdc18139e135707916a243cd8e" > ◆   < / a > < / span > simd_shuffle_and_fill_up() < span  class = "overload" > [1/2]< / span > < / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_and_fill_up < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > filling_data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a1ca14116bf50639b214d8414b5bbaaa6"  name = "a1ca14116bf50639b214d8414b5bbaaa6" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a1ca14116bf50639b214d8414b5bbaaa6" > ◆   < / a > < / span > simd_shuffle_and_fill_up() < span  class = "overload" > [2/2]< / span > < / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_and_fill_up < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > filling_data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span > , < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > modulo< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "af6e2dd7ae087aba6abac4f0350b7611c"  name = "af6e2dd7ae087aba6abac4f0350b7611c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#af6e2dd7ae087aba6abac4f0350b7611c" > ◆   < / a > < / span > simd_shuffle_down()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_down < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "a4bb203647a421032db47e73cd649841b"  name = "a4bb203647a421032db47e73cd649841b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a4bb203647a421032db47e73cd649841b" > ◆   < / a > < / span > simd_shuffle_rotate_down()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_rotate_down < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a729b22077d6c944491a6027c18ea80c9"  name = "a729b22077d6c944491a6027c18ea80c9" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a729b22077d6c944491a6027c18ea80c9" > ◆   < / a > < / span > simd_shuffle_rotate_up()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_rotate_up < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "afe81c5fbde3f4890458b081909242c55"  name = "afe81c5fbde3f4890458b081909242c55" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#afe81c5fbde3f4890458b081909242c55" > ◆   < / a > < / span > simd_shuffle_up()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_up < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > delta< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a5017efc9605e069cfb507137cd1a1852"  name = "a5017efc9605e069cfb507137cd1a1852" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a5017efc9605e069cfb507137cd1a1852" > ◆   < / a > < / span > simd_shuffle_xor()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_shuffle_xor < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > , < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramkey" > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > ushort< / td >           < td  class = "paramname" > < span  class = "paramname" > < em > mask< / em > < / span >   )< / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a85181e37a00cb4a4217f1bb25389bce5"  name = "a85181e37a00cb4a4217f1bb25389bce5" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a85181e37a00cb4a4217f1bb25389bce5" > ◆   < / a > < / span > simd_sum()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_sum < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a1308decbf2d5c33d34d6be523ea1c30f"  name = "a1308decbf2d5c33d34d6be523ea1c30f" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a1308decbf2d5c33d34d6be523ea1c30f" > ◆   < / a > < / span > simd_xor()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::simd_xor < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > data< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a619a159ca5f2ddfe3647d3a6bb6e804c"  name = "a619a159ca5f2ddfe3647d3a6bb6e804c" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a619a159ca5f2ddfe3647d3a6bb6e804c" > ◆   < / a > < / span > sin()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::sin < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "a83ba4235ae350ab8880a9df09158620b"  name = "a83ba4235ae350ab8880a9df09158620b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a83ba4235ae350ab8880a9df09158620b" > ◆   < / a > < / span > sinh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::sinh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ae9655f7fa2ba6c0625ca25fbb278e269"  name = "ae9655f7fa2ba6c0625ca25fbb278e269" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae9655f7fa2ba6c0625ca25fbb278e269" > ◆   < / a > < / span > sinpi()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::sinpi < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< a  id = "ab3f4d4852ca0e591104fbd8e5b50d31b"  name = "ab3f4d4852ca0e591104fbd8e5b50d31b" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ab3f4d4852ca0e591104fbd8e5b50d31b" > ◆   < / a > < / span > sqrt()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memitem" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< div  class = "memproto" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < table  class = "memname" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < tr > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::sqrt < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								      < / table > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > < div  class = "memdoc" > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< / div > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a862215a8ddacb086296ba02567c9b158" > ◆   < / a > < / span > tan()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::tan < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#aa97fc50bd6addfc6de0aae8570fe963d" > ◆   < / a > < / span > tanh()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::tanh < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< a  id = "ae2046d163a525fc1822a9ec8a0aeaeb3"  name = "ae2046d163a525fc1822a9ec8a0aeaeb3" > < / a > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#ae2046d163a525fc1822a9ec8a0aeaeb3" > ◆   < / a > < / span > tanpi()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::tanpi < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								        < / tr > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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								< h2  class = "memtitle" > < span  class = "permalink" > < a  href = "#a93cb75a11a362bfc8310ea19c554c887" > ◆   < / a > < / span > trunc()< / h2 > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "memname" > METAL_FUNC < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a >  metal::trunc < / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > (< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-11-22 20:24:16 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								          < td  class = "paramtype" > < a  class = "el"  href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / td >           < td  class = "paramname" > < span  class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td > 
							 
						 
					
						
							
								
									
										
										
										
											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
								          < td > < / td > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
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											2025-01-09 21:56:20 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
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								  < ul > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							 
							
							
								    < li  class = "navelem" > < a  class = "el"  href = "namespacemetal.html" > metal< / a > < / li > 
							 
						 
					
						
							
								
									
										
										
										
											2025-02-06 20:16:29 +00:00 
										
									 
								 
							 
							
								
									
										 
									 
								
							 
							
								 
							 
							
							
								    < li  class = "footer" > Generated by < a  href = "https://www.doxygen.org/index.html" > < img  class = "footer"  src = "doxygen.svg"  width = "104"  height = "31"  alt = "doxygen" / > < / a >  1.13.2 < / li > 
							 
						 
					
						
							
								
									
										
										
										
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											2024-10-15 15:12:17 +00:00 
										
									 
								 
							 
							
								
							 
							
								 
							 
							
							
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