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< li class = "navelem" > < a class = "el" href = "dir_938ab0ecf10b8b860ff766c820f665fd.html" > mlx< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_1d446c9bd3c99228254c9484e0bc5c06.html" > backend< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_d0c977ea65824390717cdb7efc36c157.html" > metal< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_70a37effa88bcbd6b791977fa1e64356.html" > kernels< / a > < / li > < / ul >
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< a href = "backend_2metal_2kernels_2bf16_8h.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright © 2023 Apple Inc.< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < / div >
< div class = "line" > < a id = "l00003" name = "l00003" > < / a > < span class = "lineno" > 3< / span > < span class = "preprocessor" > #pragma once< / span > < / div >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "preprocessor" > #include < metal_stdlib> < / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < / div >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "keyword" > using namespace < / span > < a class = "code hl_namespace" href = "namespacemetal.html" > metal< / a > ;< / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < / div >
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< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "preprocessor" > #if (MLX_METAL_VERSION > = 310) || (__METAL_VERSION__ > = 310)< / span > < / div >
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< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "keyword" > typedef< / span > bfloat < a class = "code hl_typedef" href = "backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > ;< / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < span class = "preprocessor" > #else< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // Helpers< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < / div >
< div class = "foldopen" id = "foldopen00019" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > 19< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC uint16_t < a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > (< span class = "keywordtype" > float< / span > x) {< / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > // Check for nan< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "keywordflow" > if< / span > ((as_type< uint32_t> (x) & ~_fp_encoding_traits< float> ::sign_mask) > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > _fp_encoding_traits< float> ::inf_mask) {< / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "keywordflow" > return< / span > uint16_t(as_type< uint32_t> (0x7FC0));< / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > }< / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > // Take bits< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > uint32_t float_bits = as_type< uint32_t> (x);< / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // Round to nearest even< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > float_bits += ((float_bits > > 16) & 1) + as_type< uint32_t> (0x7FFF);< / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // Take upper 16 bits< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "keywordflow" > return< / span > float_bits > > 16;< / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < / div >
< div class = "foldopen" id = "foldopen00035" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > 35< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < span class = "keywordtype" > float< / span > < a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > (uint16_t x) {< / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // Upper 16 bits are the data and lower 16 bits are 0s< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "keywordflow" > return< / span > as_type< float> ((uint32_t)x < < 16);< / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > ;< / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T> < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e" > 43< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e" > can_convert_to_bfloat< / a > =< / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > !is_same_v< T, _MLX_BFloat16> & & is_convertible_v< T, float> ;< / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "keyword" > template< / span > < < span class = "keyword" > typename< / span > T> < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a" > 47< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > bool< / span > < a class = "code hl_variable" href = "backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a" > can_convert_from_bfloat< / a > =< / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > !is_same_v< T, _MLX_BFloat16> & & is_convertible_v< float, T> ;< / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > // Bfloat struct< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < / div >
< div class = "foldopen" id = "foldopen00054" data-start = "{" data-end = "};" >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html" > 54< / a > < / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > {< / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // Constructors< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > 57< / a > < / span > uint16_t < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > ;< / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668" > 58< / a > < / span > < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668" > _MLX_BFloat16< / a > () thread = default;< / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#ae5c51644c3bd7cda6b796cb63c60c0b4" > 59< / a > < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > () threadgroup = default;< / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a21998a3c852d0e0f52681f8b453172bf" > 60< / a > < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > () device = default;< / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a64d8fc2e2463d7fa19cd3d5dd1ffdae8" > 61< / a > < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > () constant = default;< / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > 63< / a > < / span > struct < a class = "code hl_struct" href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > bits_to_bfloat_struct< / a > {};< / div >
< div class = "foldopen" id = "foldopen00064" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > 64< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_struct" href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > bits_to_bfloat_struct< / a > < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > bits_to_bfloat< / a > () {< / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > bits_to_bfloat_struct< / a > ();< / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00067" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112" > 67< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112" > _MLX_BFloat16< / a > (uint16_t bits, < a class = "code hl_struct" href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > bits_to_bfloat_struct< / a > )< / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > : < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > (bits) {}< / div >
< / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "comment" > // Conversions to bfloat< / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_to_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00076" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547" > 76< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547" > _MLX_BFloat16< / a > (T x) thread< / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > : < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > (< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > float< / span > < span class = "keyword" > > < / span > (x))) {}< / div >
< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_to_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00082" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455" > 82< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455" > _MLX_BFloat16< / a > (T x) threadgroup< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > : < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > (< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > float< / span > < span class = "keyword" > > < / span > (x))) {}< / div >
< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_to_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00088" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53" > 88< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53" > _MLX_BFloat16< / a > (T x) device< / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > : < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > (< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > float< / span > < span class = "keyword" > > < / span > (x))) {}< / div >
< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_to_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00094" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118" > 94< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118" > _MLX_BFloat16< / a > (T x) constant< / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > : < a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > (< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > float< / span > < span class = "keyword" > > < / span > (x))) {}< / div >
< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // Conversions from bfloat< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_from_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00103" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#aa7dfefdf0d15e102d2b8258c9ab01836" > 103< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < span class = "keyword" > operator< / span > T() const thread {< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > (< a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > ));< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_from_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00110" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a2546a8afa77e14ed5b3c5da79a281260" > 110< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < span class = "keyword" > operator< / span > T() const threadgroup {< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > (< a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > ));< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_from_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00117" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a1d523f87740fcb852db6ab57896c245a" > 117< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < span class = "keyword" > operator< / span > T() const device {< / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > (< a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > ));< / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "keyword" > template< / span > < < / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "keyword" > typename< / span > T,< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "keyword" > typename< / span > = < span class = "keyword" > typename< / span > enable_if< can_convert_from_bfloat< T> > ::type> < / div >
< div class = "foldopen" id = "foldopen00124" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > < a class = "line" href = "struct___m_l_x___b_float16.html#a95acd29283024d7093a0bc58c9468a0a" > 124< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < span class = "keyword" > operator< / span > T() const constant {< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "keywordflow" > return< / span > < span class = "keyword" > static_cast< < / span > T< span class = "keyword" > > < / span > (< a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > (< a class = "code hl_variable" href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > bits_< / a > ));< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > };< / div >
< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < span class = "comment" > // Bfloat operators< / span > < / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > < / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "comment" > // Unary ops< / span > < / div >
< div class = "foldopen" id = "foldopen00135" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855" > 135< / a > < / span > < span class = "keyword" > constexpr< / span > METAL_FUNC < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > < a class = "code hl_function" href = "backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855" > operator-< / a > (< a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > x) {< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < span class = "keywordflow" > return< / span > -< span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > float< / span > < span class = "keyword" > > < / span > (x);< / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "comment" > // Binary operators< / span > < / div >
< div class = "foldopen" id = "foldopen00141" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a78c92beda4436da9a2e520fa98c59f70" > 141< / a > < / span > < span class = "preprocessor" > #define bfloat_binop_base(__op__, __operator__, otype, atype, btype, ctype) \< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "preprocessor" > constexpr METAL_FUNC otype __operator__(atype lhs, btype rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "preprocessor" > return static_cast< ctype> (lhs) __op__ static_cast< ctype> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "preprocessor" > }< / span > < / div >
< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < / div >
< div class = "foldopen" id = "foldopen00146" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#ac7ff36230dab17e8f17b7a7c80888594" > 146< / a > < / span > < span class = "preprocessor" > #define bfloat_binop_helper(__op__, __operator__, otype, itype, ctype) \< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "preprocessor" > constexpr METAL_FUNC otype __operator__(_MLX_BFloat16 lhs, itype rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "preprocessor" > return static_cast< ctype> (lhs) __op__ static_cast< ctype> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > < span class = "preprocessor" > constexpr METAL_FUNC otype __operator__(itype lhs, _MLX_BFloat16 rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "preprocessor" > return static_cast< ctype> (lhs) __op__ static_cast< ctype> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "preprocessor" > }< / span > < / div >
< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "comment" > // Arithmetic Operators< / span > < / div >
< div class = "foldopen" id = "foldopen00156" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > 156< / a > < / span > < span class = "preprocessor" > #define bfloat_binop(_op_, _operator_) \< / span > < / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "preprocessor" > bfloat_binop_base( \< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "preprocessor" > _op_, _operator_, _MLX_BFloat16, _MLX_BFloat16, _MLX_BFloat16, float); \< / span > < / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, float, float, float); \< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, float, half, float); \< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, int32_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, uint32_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, int64_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < span class = "preprocessor" > bfloat_binop_helper(_op_, _operator_, _MLX_BFloat16, uint64_t, float);< / span > < / div >
< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a09c1a797eb7f43742578680899932f50" > 166< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > bfloat_binop< / a > (+, < span class = "keyword" > operator< / span > +);< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a333f67614dbf8027439a7e124052cb85" > 167< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > bfloat_binop< / a > (-, < span class = "keyword" > operator< / span > -);< / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a8f06316063fc91747533105f256b55b5" > 168< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > bfloat_binop< / a > (*, < span class = "keyword" > operator< / span > *);< / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a9f16a44e1c9836ca57edc1d7b93b5d7c" > 169< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > bfloat_binop< / a > (/, < span class = "keyword" > operator< / span > /);< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < span class = "comment" > // Comparison ops< / span > < / div >
< div class = "foldopen" id = "foldopen00173" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > 173< / a > < / span > < span class = "preprocessor" > #define bfloat_compop(__op__, __operator__) \< / span > < / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < span class = "preprocessor" > bfloat_binop_base( \< / span > < / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < span class = "preprocessor" > __op__, __operator__, bool, _MLX_BFloat16, _MLX_BFloat16, float); \< / span > < / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, float, float); \< / span > < / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, half, float); \< / span > < / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, int32_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, uint32_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, int64_t, float); \< / span > < / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < span class = "preprocessor" > bfloat_binop_helper(__op__, __operator__, bool, uint64_t, float);< / span > < / div >
< / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#ae394c0a10e47d1d047854a888402eb57" > 183< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (> , < span class = "keyword" > operator< / span > > );< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a9ef6a57b7185e9ca49e255fec1a44e25" > 184< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (< , < span class = "keyword" > operator< / span > < );< / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a430dd11fbf4c6f39bc1506ab43b2341f" > 185< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (> =, < span class = "keyword" > operator< / span > > =);< / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#af469c58cffeab488c681f4b33f02cd05" > 186< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (< =, < span class = "keyword" > operator< / span > < =);< / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a49a13b06a325ed3cca4004b6a0cde065" > 187< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (==, < span class = "keyword" > operator< / span > ==);< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#afc6e4fc5589bbf30f978f34868dd4e55" > 188< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > (!=, < span class = "keyword" > operator< / span > !=);< / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "preprocessor" > #undef bfloat_compop< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "preprocessor" > #undef bfloat_binop_base< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "preprocessor" > #undef bfloat_binop_helper< / span > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "preprocessor" > #undef bfloat_binop< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "comment" > // Inplace Operators< / span > < / div >
< div class = "foldopen" id = "foldopen00197" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a2846fd11b5e19b435e9f7ef0998c9b1d" > 197< / a > < / span > < span class = "preprocessor" > #define bfloat_inplace_op_helper(__op__, __operator__, itype, addr_space) \< / span > < / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "preprocessor" > constexpr METAL_FUNC addr_space _MLX_BFloat16& __operator__( \< / span > < / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "preprocessor" > addr_space _MLX_BFloat16& lhs, itype rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "preprocessor" > lhs = static_cast< float> (lhs) __op__ static_cast< float> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "preprocessor" > return lhs; \< / span > < / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < span class = "preprocessor" > constexpr METAL_FUNC addr_space itype& __operator__( \< / span > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < span class = "preprocessor" > addr_space itype& lhs, _MLX_BFloat16 rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "preprocessor" > lhs = static_cast< float> (lhs) __op__ static_cast< float> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "preprocessor" > return lhs; \< / span > < / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "preprocessor" > }< / span > < / div >
< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < / div >
< div class = "foldopen" id = "foldopen00209" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > 209< / a > < / span > < span class = "preprocessor" > #define bfloat_inplace_op_addr_space_helper(__op__, __operator__, itype) \< / span > < / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, itype, device); \< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, itype, thread); \< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, itype, threadgroup);< / span > < / div >
< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < / div >
< div class = "foldopen" id = "foldopen00214" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > 214< / a > < / span > < span class = "preprocessor" > #define bfloat_inplace_op(itype) \< / span > < / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "preprocessor" > bfloat_inplace_op_addr_space_helper(+, operator+=, itype); \< / span > < / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < span class = "preprocessor" > bfloat_inplace_op_addr_space_helper(-, operator-=, itype); \< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "preprocessor" > bfloat_inplace_op_addr_space_helper(*, operator*=, itype); \< / span > < / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < span class = "preprocessor" > bfloat_inplace_op_addr_space_helper(/, operator/=, itype);< / span > < / div >
< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a7232b0a0e193b3c6172d6fc2578bf419" > 220< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (< span class = "keywordtype" > float< / span > );< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#ab706af260b61f735b28464877d02137c" > 221< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (half);< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a81f65b04a87a25c7eb1a751d1be9fa55" > 222< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (int16_t);< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#ae97ab6c3ddcc2754b24f86319a5398be" > 223< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (int32_t);< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a917354f77eac26189da8a2f610a00074" > 224< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (int64_t);< / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a99aa4cc110d1c7aa3b4c8c5cbf9235b7" > 225< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (uint16_t);< / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#aeff4c28986f98c23de1df17043edb0f5" > 226< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (uint32_t);< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a1a2a683ff40490226eb1371fb905023d" > 227< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > (uint64_t);< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < span class = "preprocessor" > #undef bfloat_inplace_op_helper< / span > < / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < span class = "preprocessor" > #undef bfloat_inplace_op_addr_space_helper< / span > < / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "preprocessor" > #undef bfloat_inplace_op< / span > < / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "preprocessor" > #define bfloat_inplace_op_helper(__op__, __operator__, addr_space) \< / span > < / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < span class = "preprocessor" > constexpr METAL_FUNC addr_space _MLX_BFloat16& __operator__( \< / span > < / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "preprocessor" > addr_space _MLX_BFloat16& lhs, _MLX_BFloat16 rhs) { \< / span > < / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > < span class = "preprocessor" > lhs = static_cast< float> (lhs) __op__ static_cast< float> (rhs); \< / span > < / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < span class = "preprocessor" > return lhs; \< / span > < / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > < span class = "preprocessor" > }< / span > < / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "preprocessor" > #define bfloat_inplace_op_addr_space_helper(__op__, __operator__) \< / span > < / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, device); \< / span > < / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, thread); \< / span > < / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < span class = "preprocessor" > bfloat_inplace_op_helper(__op__, __operator__, threadgroup);< / span > < / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > < / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a24ca436ab299a710263d65302532dd3b" > 245< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > bfloat_inplace_op_addr_space_helper< / a > (+, < span class = "keyword" > operator< / span > +=);< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a0d3fb52437c677c5d0f1a3642384b15c" > 246< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > bfloat_inplace_op_addr_space_helper< / a > (-, < span class = "keyword" > operator< / span > -=);< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a13aa79165ec87710e977f33fe0361e91" > 247< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > bfloat_inplace_op_addr_space_helper< / a > (*, < span class = "keyword" > operator< / span > *=);< / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#af1a12a1efb618a57da6dd41ae18cb53c" > 248< / a > < / span > < a class = "code hl_define" href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > bfloat_inplace_op_addr_space_helper< / a > (/, < span class = "keyword" > operator< / span > /=);< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < span class = "preprocessor" > #undef bfloat_inplace_op_helper< / span > < / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "preprocessor" > #undef bfloat_inplace_op_addr_space_helper< / span > < / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < span class = "comment" > // Bfloat typedef< / span > < / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > < a class = "line" href = "backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > 257< / a > < / span > < span class = "keyword" > typedef< / span > < span class = "keyword" > struct < / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ;< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > < / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > < span class = "comment" > // Bfloat numeric limits< / span > < / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "preprocessor" > #pragma METAL internals : enable< / span > < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > < / div >
< div class = "foldopen" id = "foldopen00265" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal.html" > 265< / a > < / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespacemetal.html" > metal< / a > {< / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "keyword" > template< / span > < > < / div >
< div class = "foldopen" id = "foldopen00268" data-start = "{" data-end = "};" >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html" > 268< / a > < / span > < span class = "keyword" > struct < / span > _numeric_limits_impl< < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > > : _fp_numeric_limits_impl_base {< / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#af6a681edff230c8d734a1feefb8d1879" > 269< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > digits = 8;< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a0f48dd0c8a2d2dfa825067fb212b2e6b" > 270< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > digits10 = 2;< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a8d3905e6f158379a0c52682266e8d0e2" > 271< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > max_digits10 = 4;< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aaefa8c2cadd11ac7e22f7b2c5edbd1cd" > 272< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > radix = 2;< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a13829f8c7a7c0efdc8946eff5d3c9470" > 273< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > min_exponent = -125;< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aeaed172780720e06b8731cef3177e277" > 274< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > min_exponent10 = -37;< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61bb136f819fa392c50bdf3c38f3aad2" > 275< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > max_exponent = 128;< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a76bfb2deb0e0afc011f77bf5a6d0ed94" > 276< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > constant < span class = "keywordtype" > int< / span > max_exponent10 = 38;< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > < / div >
< div class = "foldopen" id = "foldopen00278" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f" > 278< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f" > min< / a > () {< / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x0080, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00281" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116" > 281< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116" > lowest< / a > () {< / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0xFF7F, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00284" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50" > 284< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50" > max< / a > () {< / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x7F7F, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00287" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca" > 287< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca" > epsilon< / a > () {< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x3C00, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00290" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3" > 290< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3" > round_error< / a > () {< / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x3F00, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00293" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206" > 293< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206" > infinity< / a > () {< / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x7F80, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00296" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b" > 296< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b" > quiet_NaN< / a > () {< / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x7FC0, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00299" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80" > 299< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80" > signaling_NaN< / a > () {< / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x7F80, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > }< / div >
< / div >
< div class = "foldopen" id = "foldopen00302" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > < a class = "line" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed" > 302< / a > < / span > < span class = "keyword" > static< / span > < span class = "keyword" > constexpr< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > < a class = "code hl_function" href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed" > denorm_min< / a > () {< / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > (0x0001, < a class = "code hl_function" href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > ());< / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > };< / div >
< / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > < / div >
< div class = "foldopen" id = "foldopen00307" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb" > 307< / a > < / span > METAL_FUNC < span class = "keywordtype" > bool< / span > < a class = "code hl_function" href = "namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb" > isnan< / a > (< a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > x) {< / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > < span class = "keywordflow" > return< / span > x != x;< / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > }< / div >
< / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > < / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > } < span class = "comment" > // namespace metal< / span > < / div >
< / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "preprocessor" > #pragma METAL internals : disable< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > < span class = "preprocessor" > #endif< / span > < / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > < span class = "preprocessor" > #include " < a class = "code" href = "bf16__math_8h.html" > mlx/backend/metal/kernels/bf16_math.h< / a > " < / span > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a31ce5e8e860295fa236e0d4b0befeae1" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a31ce5e8e860295fa236e0d4b0befeae1" > float_to_bfloat_bits< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC uint16_t float_to_bfloat_bits(float x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:19< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a330a0883503cb640f1cf628a7ca50239" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a330a0883503cb640f1cf628a7ca50239" > bfloat_compop< / a > < / div > < div class = "ttdeci" > #define bfloat_compop(__op__, __operator__)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:173< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a3b33ae338dc4f223d0f3c748de07bad1" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a3b33ae338dc4f223d0f3c748de07bad1" > bfloat_bits_to_float< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC float bfloat_bits_to_float(uint16_t x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:35< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a4ac82467fbc674e990090f482b9c1e5c" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a4ac82467fbc674e990090f482b9c1e5c" > bfloat_inplace_op< / a > < / div > < div class = "ttdeci" > #define bfloat_inplace_op(itype)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:214< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a6aedc8d6d0980134ac69b96f22d9a855" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a6aedc8d6d0980134ac69b96f22d9a855" > operator-< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16 operator-(_MLX_BFloat16 x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:135< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a7694892a131c0e31e5153c088cccb707" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a7694892a131c0e31e5153c088cccb707" > bfloat_binop< / a > < / div > < div class = "ttdeci" > #define bfloat_binop(_op_, _operator_)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:156< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a7782de82393104dd4ad754ce3b316e82" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a7782de82393104dd4ad754ce3b316e82" > bfloat16_t< / a > < / div > < div class = "ttdeci" > struct _MLX_BFloat16 bfloat16_t< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:257< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_a7e5992f7fcd8f2cdadcc1d7f6aefbb5a" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#a7e5992f7fcd8f2cdadcc1d7f6aefbb5a" > can_convert_from_bfloat< / a > < / div > < div class = "ttdeci" > static constexpr constant bool can_convert_from_bfloat< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:47< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_aae77817d261452b2f001f4d947a3e04e" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#aae77817d261452b2f001f4d947a3e04e" > can_convert_to_bfloat< / a > < / div > < div class = "ttdeci" > static constexpr constant bool can_convert_to_bfloat< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:43< / div > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html_af30a2cbd2c3415516203b83bd21872f8" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html#af30a2cbd2c3415516203b83bd21872f8" > bfloat_inplace_op_addr_space_helper< / a > < / div > < div class = "ttdeci" > #define bfloat_inplace_op_addr_space_helper(__op__, __operator__, itype)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:209< / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html" > < div class = "ttname" > < a href = "bf16__math_8h.html" > bf16_math.h< / a > < / div > < / div >
< div class = "ttc" id = "anamespacemetal_html" > < div class = "ttname" > < a href = "namespacemetal.html" > metal< / a > < / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:265< / div > < / div >
< div class = "ttc" id = "anamespacemetal_html_a83320ba983d90dd1fa5847b6940dc0bb" > < div class = "ttname" > < a href = "namespacemetal.html#a83320ba983d90dd1fa5847b6940dc0bb" > metal::isnan< / a > < / div > < div class = "ttdeci" > METAL_FUNC bool isnan(_MLX_BFloat16 x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:307< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_1_1bits__to__bfloat__struct_html" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16_1_1bits__to__bfloat__struct.html" > _MLX_BFloat16::bits_to_bfloat_struct< / a > < / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:63< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html" > _MLX_BFloat16< / a > < / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:54< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_a24c5736f234e09a0c82b00c7e44cc547" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#a24c5736f234e09a0c82b00c7e44cc547" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16(T x) thread< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:76< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_a4113263b63e3757ea8334cc4f0f5c3c8" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#a4113263b63e3757ea8334cc4f0f5c3c8" > _MLX_BFloat16::bits_< / a > < / div > < div class = "ttdeci" > uint16_t bits_< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:57< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_a50d825f05a162d0ac133ad8b6f3c3112" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#a50d825f05a162d0ac133ad8b6f3c3112" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16(uint16_t bits, bits_to_bfloat_struct)< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:67< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_a91ccb774773b65f8d4c1aea3f1c6e1ca" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#a91ccb774773b65f8d4c1aea3f1c6e1ca" > _MLX_BFloat16::bits_to_bfloat< / a > < / div > < div class = "ttdeci" > static constexpr METAL_FUNC bits_to_bfloat_struct bits_to_bfloat()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:64< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_ab1af7700f5d1e4ab567da6a34fa84668" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#ab1af7700f5d1e4ab567da6a34fa84668" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > _MLX_BFloat16() thread=default< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_ad2701d003e8fad168c89abc3907c6e53" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#ad2701d003e8fad168c89abc3907c6e53" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16(T x) device< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:88< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_adeb880f31121c6dc40ce47765c6c7455" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#adeb880f31121c6dc40ce47765c6c7455" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16(T x) threadgroup< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:82< / div > < / div >
< div class = "ttc" id = "astruct___m_l_x___b_float16_html_aec7fa716fd621ce1843338027bcb0118" > < div class = "ttname" > < a href = "struct___m_l_x___b_float16.html#aec7fa716fd621ce1843338027bcb0118" > _MLX_BFloat16::_MLX_BFloat16< / a > < / div > < div class = "ttdeci" > constexpr METAL_FUNC _MLX_BFloat16(T x) const ant< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:94< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a61eb741e7af49046beb863abf023b206" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a61eb741e7af49046beb863abf023b206" > metal::_numeric_limits_impl< bfloat16_t > ::infinity< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t infinity()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:293< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a6a9dbcba4dd79cad50876dda506b9eed" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a6a9dbcba4dd79cad50876dda506b9eed" > metal::_numeric_limits_impl< bfloat16_t > ::denorm_min< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t denorm_min()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:302< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a92320d40a58218e40cc414986ac95c50" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a92320d40a58218e40cc414986ac95c50" > metal::_numeric_limits_impl< bfloat16_t > ::max< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t max()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:284< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_a96c4197e3076f0aa9065370b8ece49ca" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#a96c4197e3076f0aa9065370b8ece49ca" > metal::_numeric_limits_impl< bfloat16_t > ::epsilon< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t epsilon()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:287< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_ad1f76a43c7d51a3765174aa6e0dd9f80" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ad1f76a43c7d51a3765174aa6e0dd9f80" > metal::_numeric_limits_impl< bfloat16_t > ::signaling_NaN< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t signaling_NaN()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:299< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_adaed80031f5ca0ff69d30ec4c5d0c98f" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#adaed80031f5ca0ff69d30ec4c5d0c98f" > metal::_numeric_limits_impl< bfloat16_t > ::min< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t min()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:278< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_ae81c58b8223e504965183c99d19a2116" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#ae81c58b8223e504965183c99d19a2116" > metal::_numeric_limits_impl< bfloat16_t > ::lowest< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t lowest()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:281< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_aebeb07c01984be246bc2d1b8f8e4ac7b" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#aebeb07c01984be246bc2d1b8f8e4ac7b" > metal::_numeric_limits_impl< bfloat16_t > ::quiet_NaN< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t quiet_NaN()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:296< / div > < / div >
< div class = "ttc" id = "astructmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4_html_afa223448fa4f04c1113a85345dd720c3" > < div class = "ttname" > < a href = "structmetal_1_1__numeric__limits__impl_3_01bfloat16__t_01_4.html#afa223448fa4f04c1113a85345dd720c3" > metal::_numeric_limits_impl< bfloat16_t > ::round_error< / a > < / div > < div class = "ttdeci" > static constexpr bfloat16_t round_error()< / div > < div class = "ttdef" > < b > Definition< / b > bf16.h:290< / div > < / div >
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