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< div class = "textblock" > < code > #include < metal_math> < / code > < br / >
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< code > #include " bf16.h" < / code > < br / >
< code > #include " < a class = "el" href = "bf16__math_8h_source.html" > mlx/backend/metal/kernels/bf16_math.h< / a > " < / code > < br / >
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< code > #include " < a class = "el" href = "backend_2metal_2kernels_2complex_8h_source.html" > mlx/backend/metal/kernels/complex.h< / a > " < / code > < br / >
< code > #include " < a class = "el" href = "defines_8h_source.html" > mlx/backend/metal/kernels/defines.h< / a > " < / code > < br / >
< / div >
< p > < a href = "backend_2metal_2kernels_2utils_8h_source.html" > Go to the source code of this file.< / a > < / p >
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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 = "struct_conditional_type.html" > ConditionalType< condition, T, U > < / a > < / td > < / tr >
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Typedefs< / h2 > < / td > < / tr >
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Functions< / h2 > < / td > < / tr >
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< / table >
< h2 class = "groupheader" > Macro Definition Documentation< / h2 >
< a id = "abedffa358e7ba7782cc78d6772064c7c" name = "abedffa358e7ba7782cc78d6772064c7c" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#abedffa358e7ba7782cc78d6772064c7c" > ◆   < / a > < / span > instantiate_default_limit< / h2 >
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< div class = "memproto" >
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< tr >
< td class = "memname" > #define instantiate_default_limit< / td >
< td > (< / td >
< td class = "paramtype" > < / td > < td class = "paramname" > < span class = "paramname" > < em > type< / em > < / span > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< b > Value:< / b > < div class = "fragment" > < div class = "line" > < span class = "keyword" > template< / span > < > \< / div >
< div class = "line" > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "struct_limits.html" > Limits< / a > < type> { \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type < a class = "code hl_function" href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > max< / a > = metal::numeric_limits< type> ::max(); \< / div >
< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type < a class = "code hl_function" href = "namespacemetal.html#a6653b28c9473087141eddce39878d4d3" > min< / a > = metal::numeric_limits< type> ::min(); \< / div >
< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type finite_max = \< / div >
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< div class = "line" > metal::numeric_limits< type> ::max(); \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type finite_min = \< / div >
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< div class = "line" > metal::numeric_limits< type> ::min(); \< / div >
< div class = "line" > };< / div >
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< div class = "ttc" id = "anamespacemetal_html_a6653b28c9473087141eddce39878d4d3" > < div class = "ttname" > < a href = "namespacemetal.html#a6653b28c9473087141eddce39878d4d3" > metal::min< / a > < / div > < div class = "ttdeci" > METAL_FUNC bfloat16_t min(bfloat16_t x, bfloat16_t y)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:232< / div > < / div >
< div class = "ttc" id = "anamespacemetal_html_a853c80479ab2264d9c4587c7bcac767b" > < div class = "ttname" > < a href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > metal::max< / a > < / div > < div class = "ttdeci" > METAL_FUNC bfloat16_t max(bfloat16_t x, bfloat16_t y)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:232< / div > < / div >
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< div class = "ttc" id = "astruct_limits_html" > < div class = "ttname" > < a href = "struct_limits.html" > Limits< / a > < / div > < div class = "ttdef" > < b > Definition< / b > utils.h:23< / div > < / div >
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< / div > <!-- fragment -->
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< / div >
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< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a1e520e23f58ca645dea1ac20998d987a" > ◆   < / a > < / span > instantiate_float_limit< / h2 >
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< table class = "memname" >
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< td class = "memname" > #define instantiate_float_limit< / td >
< td > (< / td >
< td class = "paramtype" > < / td > < td class = "paramname" > < span class = "paramname" > < em > type< / em > < / span > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< b > Value:< / b > < div class = "fragment" > < div class = "line" > < span class = "keyword" > template< / span > < > \< / div >
< div class = "line" > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "struct_limits.html" > Limits< / a > < type> { \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type < a class = "code hl_function" href = "namespacemetal.html#a853c80479ab2264d9c4587c7bcac767b" > max< / a > = \< / div >
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< div class = "line" > metal::numeric_limits< type> ::infinity(); \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type < a class = "code hl_function" href = "namespacemetal.html#a6653b28c9473087141eddce39878d4d3" > min< / a > = \< / div >
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< div class = "line" > -metal::numeric_limits< type> ::infinity(); \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type finite_max = \< / div >
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< div class = "line" > metal::numeric_limits< type> ::max(); \< / div >
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< div class = "line" > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant type finite_min = \< / div >
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< div class = "line" > -metal::numeric_limits< type> ::max(); \< / div >
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< a id = "a069b682d7d21827461544817d722bfd3" name = "a069b682d7d21827461544817d722bfd3" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a069b682d7d21827461544817d722bfd3" > ◆   < / a > < / span > MLX_MTL_PRAGMA_UNROLL< / h2 >
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< td class = "memname" > #define MLX_MTL_PRAGMA_UNROLL      _Pragma(" clang loop unroll(full)" )< / td >
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< h2 class = "groupheader" > Typedef Documentation< / h2 >
< a id = "acb8ddf4a29129846b673c50ba7078773" name = "acb8ddf4a29129846b673c50ba7078773" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#acb8ddf4a29129846b673c50ba7078773" > ◆   < / a > < / span > float16_t< / h2 >
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< td class = "memname" > typedef half < a class = "el" href = "#acb8ddf4a29129846b673c50ba7078773" > float16_t< / a > < / td >
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< h2 class = "groupheader" > Function Documentation< / h2 >
< a id = "a8e5a4b0fb5d018d7b078d147efe4f1e3" name = "a8e5a4b0fb5d018d7b078d147efe4f1e3" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a8e5a4b0fb5d018d7b078d147efe4f1e3" > ◆   < / a > < / span > ceildiv()< / h2 >
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template< typename T, typename U> < / div >
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< td class = "mlabels-left" >
< table class = "memname" >
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< td class = "memname" > T ceildiv < / td >
< td > (< / td >
< td class = "paramtype" > T< / td > < td class = "paramname" > < span class = "paramname" > < em > N< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > U< / td > < td class = "paramname" > < span class = "paramname" > < em > M< / em > < / span >   )< / td >
< / tr >
< / table >
< / td >
< td class = "mlabels-right" >
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< span class = "mlabels" > < span class = "mlabel inline" > inline< / span > < / span > < / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > Compute ceil((float)N/(float)M) < / p >
< / div >
< / div >
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< a id = "a497dd9f1a00c8a4303d8782158a0812a" name = "a497dd9f1a00c8a4303d8782158a0812a" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a497dd9f1a00c8a4303d8782158a0812a" > ◆   < / a > < / span > elem_to_loc() < span class = "overload" > [1/2]< / span > < / h2 >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC IdxT elem_to_loc < / td >
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< td > (< / td >
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< td class = "paramtype" > IdxT< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > constant const int *< / td > < td class = "paramname" > < span class = "paramname" > < em > shape< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > int< / td > < td class = "paramname" > < span class = "paramname" > < em > ndim< / em > < / span >   )< / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
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< a id = "aa610d2e68eb75d7f2da5db386c1ffc9e" name = "aa610d2e68eb75d7f2da5db386c1ffc9e" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#aa610d2e68eb75d7f2da5db386c1ffc9e" > ◆   < / a > < / span > elem_to_loc() < span class = "overload" > [2/2]< / span > < / h2 >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC IdxT elem_to_loc < / td >
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< td > (< / td >
< td class = "paramtype" > uint3< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > constant const int *< / td > < td class = "paramname" > < span class = "paramname" > < em > shape< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > int< / td > < td class = "paramname" > < span class = "paramname" > < em > ndim< / em > < / span >   )< / td >
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< / table >
< / div > < div class = "memdoc" >
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< / div >
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< a id = "a6787efcdf7a898d5bafb48f2a2f1e555" name = "a6787efcdf7a898d5bafb48f2a2f1e555" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a6787efcdf7a898d5bafb48f2a2f1e555" > ◆   < / a > < / span > elem_to_loc_1()< / h2 >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC IdxT elem_to_loc_1 < / td >
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< td > (< / td >
< td class = "paramtype" > uint< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t & < / td > < td class = "paramname" > < span class = "paramname" > < em > stride< / em > < / span >   )< / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
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< / div >
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< a id = "aac0e227f82198021246aa91d8c427b3e" name = "aac0e227f82198021246aa91d8c427b3e" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#aac0e227f82198021246aa91d8c427b3e" > ◆   < / a > < / span > elem_to_loc_2()< / h2 >
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< div class = "memproto" >
< div class = "memtemplate" >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC IdxT elem_to_loc_2 < / td >
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< td > (< / td >
< td class = "paramtype" > uint2< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t< / td > < td class = "paramname" > < span class = "paramname" > < em > strides< / em > < / span > [2]  )< / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
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< a id = "a97ea664406a270b34ff5a23815716730" name = "a97ea664406a270b34ff5a23815716730" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a97ea664406a270b34ff5a23815716730" > ◆   < / a > < / span > elem_to_loc_2_nd()< / h2 >
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< div class = "memtemplate" >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC vec< IdxT, 2 > elem_to_loc_2_nd < / td >
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< td > (< / td >
< td class = "paramtype" > uint3< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > constant const int *< / td > < td class = "paramname" > < span class = "paramname" > < em > shape< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > a_strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > b_strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > int< / td > < td class = "paramname" > < span class = "paramname" > < em > ndim< / em > < / span >   )< / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
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< a id = "ac8f4258ba306870b0280079f1c5eb23e" name = "ac8f4258ba306870b0280079f1c5eb23e" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#ac8f4258ba306870b0280079f1c5eb23e" > ◆   < / a > < / span > elem_to_loc_3()< / h2 >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC IdxT elem_to_loc_3 < / td >
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< td > (< / td >
< td class = "paramtype" > uint3< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t< / td > < td class = "paramname" > < span class = "paramname" > < em > strides< / em > < / span > [3]  )< / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
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< a id = "a62b078234dfd1d101ce635430b050916" name = "a62b078234dfd1d101ce635430b050916" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a62b078234dfd1d101ce635430b050916" > ◆   < / a > < / span > elem_to_loc_3_nd()< / h2 >
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< div class = "memitem" >
< div class = "memproto" >
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< div class = "memtemplate" >
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template< typename IdxT = int64_t> < / div >
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< table class = "memname" >
< tr >
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< td class = "memname" > METAL_FUNC vec< IdxT, 3 > elem_to_loc_3_nd < / td >
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< td > (< / td >
< td class = "paramtype" > uint3< / td > < td class = "paramname" > < span class = "paramname" > < em > elem< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > constant const int *< / td > < td class = "paramname" > < span class = "paramname" > < em > shape< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > a_strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > b_strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
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< td class = "paramtype" > constant const int64_t *< / td > < td class = "paramname" > < span class = "paramname" > < em > c_strides< / em > < / span > , < / td >
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< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > int< / td > < td class = "paramname" > < span class = "paramname" > < em > ndim< / em > < / span >   )< / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
< a id = "a3501b665c8837eabf9789ea27a7d6946" name = "a3501b665c8837eabf9789ea27a7d6946" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a3501b665c8837eabf9789ea27a7d6946" > ◆   < / a > < / span > log1p() < span class = "overload" > [1/2]< / span > < / h2 >
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< div class = "memproto" >
< table class = "mlabels" >
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< td class = "mlabels-left" >
< table class = "memname" >
< tr >
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< td class = "memname" > < a class = "el" href = "backend_2metal_2kernels_2metal__3__0_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > log1p < / td >
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< td > (< / td >
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< 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 >
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< td > < / td >
< / tr >
< / table >
< / td >
< td class = "mlabels-right" >
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< span class = "mlabels" > < span class = "mlabel inline" > inline< / span > < / span > < / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
< a id = "a27c03f2f90ab56db2e4d59559a3d2e9a" name = "a27c03f2f90ab56db2e4d59559a3d2e9a" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a27c03f2f90ab56db2e4d59559a3d2e9a" > ◆   < / a > < / span > log1p() < span class = "overload" > [2/2]< / span > < / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "mlabels" >
< tr >
< td class = "mlabels-left" >
< table class = "memname" >
< tr >
< td class = "memname" > float log1p < / td >
< td > (< / td >
< td class = "paramtype" > float< / td > < td class = "paramname" > < span class = "paramname" > < em > x< / em > < / span > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
< / td >
< td class = "mlabels-right" >
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< span class = "mlabels" > < span class = "mlabel inline" > inline< / span > < / span > < / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
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< / div >
< / div >
< a id = "ab4cbcdb054f9165130da91a3334da0cf" name = "ab4cbcdb054f9165130da91a3334da0cf" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#ab4cbcdb054f9165130da91a3334da0cf" > ◆   < / a > < / span > simd_shuffle() < span class = "overload" > [1/4]< / span > < / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "mlabels" >
< tr >
< td class = "mlabels-left" >
< table class = "memname" >
< tr >
< td class = "memname" > bool simd_shuffle < / td >
< td > (< / td >
< td class = "paramtype" > bool< / td > < td class = "paramname" > < span class = "paramname" > < em > data< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > uint16_t< / td > < td class = "paramname" > < span class = "paramname" > < em > lane< / em > < / span >   )< / td >
< / tr >
< / table >
< / td >
< td class = "mlabels-right" >
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< span class = "mlabels" > < span class = "mlabel inline" > inline< / span > < / span > < / td >
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< / tr >
< / table >
< / div > < div class = "memdoc" >
< / div >
< / div >
< a id = "ab8175b66bcc080fb89f738143568c30b" name = "ab8175b66bcc080fb89f738143568c30b" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#ab8175b66bcc080fb89f738143568c30b" > ◆   < / a > < / span > simd_shuffle() < span class = "overload" > [2/4]< / span > < / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "mlabels" >
< tr >
< td class = "mlabels-left" >
< table class = "memname" >
< tr >
< td class = "memname" > < a class = "el" href = "structcomplex64__t.html" > complex64_t< / a > simd_shuffle < / td >
< td > (< / td >
< td class = "paramtype" > < a class = "el" href = "structcomplex64__t.html" > complex64_t< / a > < / td > < td class = "paramname" > < span class = "paramname" > < em > data< / em > < / span > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > uint16_t< / td > < td class = "paramname" > < span class = "paramname" > < em > lane< / em > < / span >   )< / td >
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