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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 = "bf16__math_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 " < a class = "code" href = "backend_2metal_2kernels_2bf16_8h.html" > mlx/backend/metal/kernels/bf16.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Metal math for bfloat16< / span > < / div >
< 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 = "comment" > /*< / span > < / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < span class = "comment" > Following the Metal Shading Language Specification (Metal 3.1)< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > " bfloat is an extended itypeing point type that only allows implicit conversion< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > to a type of greater itypeing point rank. While bfloat can be implicitly< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > converted to itype, it cannot be implicitly converted to half, and neither< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > itype nor half can be implicitly converted to bfloat." < / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > Further, as far as I can tell, the stdlib math/simd functions are not defined< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > for bfloat and calling with an argument of type bfloat will result in that< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > argument getting implicitly converted to itype which then returns an output< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > that is (likely) a itype which cannot be implicitly converted into a bfloat< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > This leads to situations where< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "comment" > bfloat a = 5.0bf;< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > bfloat b = metal::abs(a); // this will throw an error since abs return itype< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > bfloat c = static_cast< bfloat> (metal::abs(a)); // this is fine< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > For the moment, I will be adding overloaded instantiations of the math< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > functions to accordingly automatically handle the casting< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > */< / span > < / 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 = "bf16__math_8h.html#a9e9f0fdd6e304522bc88acd22c576842" > 35< / a > < / span > < span class = "preprocessor" > #define instantiate_metal_math_funcs(itype, otype, ctype, mfast) \< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "preprocessor" > METAL_FUNC otype abs(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fabs(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "preprocessor" > METAL_FUNC otype acos(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_acos(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "preprocessor" > METAL_FUNC otype acosh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_acosh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "preprocessor" > METAL_FUNC otype asin(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_asin(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "preprocessor" > METAL_FUNC otype asinh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_asinh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "preprocessor" > METAL_FUNC otype atan(itype y_over_x) { \< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "preprocessor" > __metal_atan(static_cast< ctype> (y_over_x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "preprocessor" > METAL_FUNC otype atan2(itype y, itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "preprocessor" > __metal_atan2(static_cast< ctype> (y), static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "preprocessor" > METAL_FUNC otype atanh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_atanh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "preprocessor" > METAL_FUNC otype ceil(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_ceil(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "preprocessor" > METAL_FUNC otype cos(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_cos(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "preprocessor" > METAL_FUNC otype cosh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_cosh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "preprocessor" > METAL_FUNC otype cospi(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_cospi(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < span class = "preprocessor" > METAL_FUNC otype divide(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "preprocessor" > __metal_divide(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "preprocessor" > METAL_FUNC otype exp(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_exp(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "preprocessor" > METAL_FUNC otype exp10(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_exp10(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "preprocessor" > METAL_FUNC otype exp2(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_exp2(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < span class = "preprocessor" > METAL_FUNC otype fabs(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fabs(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "preprocessor" > METAL_FUNC otype fdim(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "preprocessor" > ctype t = static_cast< ctype> (x - y); \< / span > < / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > < span class = "preprocessor" > return static_cast< otype> (select(t, ctype(0), t < ctype(0) || x == y)); \< / span > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "preprocessor" > METAL_FUNC otype floor(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_floor(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "preprocessor" > METAL_FUNC otype fma(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fma( \< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "preprocessor" > static_cast< ctype> (x), static_cast< ctype> (y), static_cast< ctype> (z))); \< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < span class = "preprocessor" > METAL_FUNC otype fmax(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "preprocessor" > __metal_fmax(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "preprocessor" > METAL_FUNC otype fmax3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmax3( \< / span > < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "preprocessor" > METAL_FUNC otype fmedian3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmedian3( \< / span > < / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "preprocessor" > METAL_FUNC otype fmin(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "preprocessor" > __metal_fmin(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "preprocessor" > METAL_FUNC otype fmin3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmin3( \< / span > < / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < span class = "preprocessor" > METAL_FUNC otype fmod(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < span class = "preprocessor" > __metal_fmod(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > < span class = "preprocessor" > METAL_FUNC otype fract(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fract(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "preprocessor" > METAL_FUNC otype frexp(itype x, thread int& exp) { \< / span > < / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_frexp(static_cast< ctype> (x), & exp)); \< / span > < / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "preprocessor" > METAL_FUNC otype ldexp(itype x, int k) { \< / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_ldexp(static_cast< ctype> (x), k, mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "preprocessor" > METAL_FUNC otype log(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_log(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > < span class = "preprocessor" > METAL_FUNC otype log10(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_log10(static_cast< ctype> (x), mfast)); \< / 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" > METAL_FUNC otype log2(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_log2(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "preprocessor" > METAL_FUNC otype max(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "preprocessor" > __metal_fmax(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "preprocessor" > METAL_FUNC otype max3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmax3( \< / span > < / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < span class = "preprocessor" > METAL_FUNC otype median3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmedian3( \< / span > < / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "preprocessor" > METAL_FUNC otype min(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "preprocessor" > __metal_fmin(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < span class = "preprocessor" > METAL_FUNC otype min3(itype x, itype y, itype z) { \< / span > < / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_fmin3( \< / span > < / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > < span class = "preprocessor" > static_cast< ctype> (x), \< / span > < / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > < span class = "preprocessor" > static_cast< ctype> (y), \< / span > < / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > < span class = "preprocessor" > static_cast< ctype> (z), \< / span > < / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < span class = "preprocessor" > mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "preprocessor" > METAL_FUNC otype nextafter(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < span class = "preprocessor" > __metal_nextafter(static_cast< ctype> (x), static_cast< ctype> (y))); \< / span > < / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < span class = "preprocessor" > METAL_FUNC otype pow(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < span class = "preprocessor" > __metal_pow(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "preprocessor" > METAL_FUNC otype powr(itype x, itype y) { \< / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "preprocessor" > __metal_powr(static_cast< ctype> (x), static_cast< ctype> (y), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < span class = "preprocessor" > METAL_FUNC otype rint(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_rint(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < span class = "preprocessor" > METAL_FUNC otype round(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_round(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "preprocessor" > METAL_FUNC otype rsqrt(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_rsqrt(static_cast< ctype> (x), mfast)); \< / 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" > METAL_FUNC otype sin(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_sin(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < span class = "preprocessor" > METAL_FUNC otype sinh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_sinh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < span class = "preprocessor" > METAL_FUNC otype sinpi(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_sinpi(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "preprocessor" > METAL_FUNC otype sqrt(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_sqrt(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "preprocessor" > METAL_FUNC otype tan(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_tan(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > < span class = "preprocessor" > METAL_FUNC otype tanh(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_tanh(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < span class = "preprocessor" > METAL_FUNC otype tanpi(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_tanpi(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < span class = "preprocessor" > METAL_FUNC otype trunc(itype x) { \< / span > < / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_trunc(static_cast< ctype> (x), mfast)); \< / span > < / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < span class = "preprocessor" > }< / span > < / div >
< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespacemetal.html" > metal< / a > {< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < a class = "code hl_define" href = "bf16__math_8h.html#a9e9f0fdd6e304522bc88acd22c576842" > instantiate_metal_math_funcs< / a > (< / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "keywordtype" > float< / span > ,< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal.html#a87c5122c60f9a12afceb9925a5b78ffb" > 234< / a > < / span > __METAL_MAYBE_FAST_MATH__);< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < / div >
< div class = "foldopen" id = "foldopen00236" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal_1_1fast.html" > 236< / a > < / span > < span class = "keyword" > namespace < / span > fast {< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > < a class = "code hl_define" href = "bf16__math_8h.html#a9e9f0fdd6e304522bc88acd22c576842" > instantiate_metal_math_funcs< / a > (< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "keywordtype" > float< / span > ,< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal_1_1fast.html#a90d2973f71f83180e7f02e38d11c7a8f" > 242< / a > < / span > __METAL_FAST_MATH__);< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > } < span class = "comment" > // namespace fast< / span > < / div >
< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > < / div >
< div class = "foldopen" id = "foldopen00246" data-start = "{" data-end = "}" >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal_1_1precise.html" > 246< / a > < / span > < span class = "keyword" > namespace < / span > precise {< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > < / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > < a class = "code hl_define" href = "bf16__math_8h.html#a9e9f0fdd6e304522bc88acd22c576842" > instantiate_metal_math_funcs< / a > (< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keywordtype" > float< / span > ,< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal_1_1precise.html#a99f2b2746e813b9ca7b4249afbaf2a14" > 252< / a > < / span > __METAL_PRECISE_MATH__);< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > } < span class = "comment" > // namespace precise< / span > < / div >
< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > < / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > } < span class = "comment" > // namespace metal< / span > < / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < span class = "comment" > // Metal simd for bfloat16< / span > < / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > < / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > < a class = "line" href = "bf16__math_8h.html#aecc11cb898846d01bfc9faa109fcf791" > 262< / a > < / span > < span class = "preprocessor" > #define instantiate_metal_simd_comm_funcs( \< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "preprocessor" > itype, otype, ctype, itype_to_ctype, ctype_to_otype) \< / span > < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < span class = "preprocessor" > METAL_FUNC otype simd_broadcast(itype data, ushort broadcast_lane_id) { \< / span > < / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "preprocessor" > __metal_simd_broadcast(itype_to_ctype(data), broadcast_lane_id)); \< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle(itype data, ushort simd_lane_id) { \< / span > < / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > < span class = "preprocessor" > __metal_simd_shuffle(itype_to_ctype(data), simd_lane_id)); \< / span > < / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_and_fill_down( \< / span > < / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > < span class = "preprocessor" > itype data, itype filling_data, ushort delta, ushort modulo) { \< / span > < / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > < span class = "preprocessor" > return ctype_to_otype(__metal_simd_shuffle_and_fill_down( \< / span > < / div >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > < span class = "preprocessor" > itype_to_ctype(data), itype_to_ctype(filling_data), delta, modulo)); \< / span > < / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_and_fill_down( \< / span > < / div >
< div class = "line" > < a id = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < span class = "preprocessor" > itype data, itype filling_data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < span class = "preprocessor" > return ctype_to_otype(__metal_simd_shuffle_and_fill_down( \< / span > < / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > < span class = "preprocessor" > itype_to_ctype(data), \< / span > < / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "preprocessor" > itype_to_ctype(filling_data), \< / span > < / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > < span class = "preprocessor" > delta, \< / span > < / div >
< div class = "line" > < a id = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > < span class = "preprocessor" > __metal_get_simdgroup_size(ushort()))); \< / span > < / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_and_fill_up( \< / span > < / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > < span class = "preprocessor" > itype data, itype filling_data, ushort delta, ushort modulo) { \< / span > < / div >
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > < span class = "preprocessor" > return ctype_to_otype(__metal_simd_shuffle_and_fill_up( \< / span > < / div >
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "preprocessor" > itype_to_ctype(data), itype_to_ctype(filling_data), delta, modulo)); \< / span > < / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_and_fill_up( \< / span > < / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "preprocessor" > itype data, itype filling_data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > < span class = "preprocessor" > return ctype_to_otype(__metal_simd_shuffle_and_fill_up( \< / span > < / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < span class = "preprocessor" > itype_to_ctype(data), \< / span > < / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > < span class = "preprocessor" > itype_to_ctype(filling_data), \< / span > < / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > < span class = "preprocessor" > delta, \< / span > < / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > < span class = "preprocessor" > __metal_get_simdgroup_size(ushort()))); \< / span > < / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_down(itype data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > 307< / span > < span class = "preprocessor" > __metal_simd_shuffle_down(itype_to_ctype(data), delta)); \< / span > < / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_rotate_down(itype data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > < span class = "preprocessor" > __metal_simd_shuffle_rotate_down(itype_to_ctype(data), delta)); \< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_rotate_up(itype data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > < span class = "preprocessor" > __metal_simd_shuffle_rotate_up(itype_to_ctype(data), delta)); \< / span > < / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > 319< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00320" name = "l00320" > < / a > < span class = "lineno" > 320< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_up(itype data, ushort delta) { \< / span > < / div >
< div class = "line" > < a id = "l00321" name = "l00321" > < / a > < span class = "lineno" > 321< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > 322< / span > < span class = "preprocessor" > __metal_simd_shuffle_up(itype_to_ctype(data), delta)); \< / span > < / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > 323< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00324" name = "l00324" > < / a > < span class = "lineno" > 324< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00325" name = "l00325" > < / a > < span class = "lineno" > 325< / span > < span class = "preprocessor" > METAL_FUNC otype simd_shuffle_xor(itype data, ushort mask) { \< / span > < / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > 326< / span > < span class = "preprocessor" > return ctype_to_otype( \< / span > < / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > 327< / span > < span class = "preprocessor" > __metal_simd_shuffle_xor(itype_to_ctype(data), mask)); \< / span > < / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > 328< / span > < span class = "preprocessor" > }< / span > < / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > < / div >
< div class = "foldopen" id = "foldopen00330" data-start = "" data-end = "" >
< div class = "line" > < a id = "l00330" name = "l00330" > < / a > < span class = "lineno" > < a class = "line" href = "bf16__math_8h.html#a51688bc24fc9292aaec5f54a58eaa2d0" > 330< / a > < / span > < span class = "preprocessor" > #define instantiate_metal_simd_reduction_funcs(itype, otype, ctype) \< / span > < / div >
< div class = "line" > < a id = "l00331" name = "l00331" > < / a > < span class = "lineno" > 331< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > < span class = "preprocessor" > METAL_FUNC otype simd_max(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_simd_max(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > 335< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00336" name = "l00336" > < / a > < span class = "lineno" > 336< / span > < span class = "preprocessor" > METAL_FUNC otype simd_min(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00337" name = "l00337" > < / a > < span class = "lineno" > 337< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_simd_min(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00338" name = "l00338" > < / a > < span class = "lineno" > 338< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00339" name = "l00339" > < / a > < span class = "lineno" > 339< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00340" name = "l00340" > < / a > < span class = "lineno" > 340< / span > < span class = "preprocessor" > METAL_FUNC otype simd_prefix_exclusive_product(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > < span class = "preprocessor" > __metal_simd_prefix_exclusive_product(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > 343< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > 345< / span > < span class = "preprocessor" > METAL_FUNC otype simd_prefix_exclusive_sum(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > 346< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < span class = "preprocessor" > __metal_simd_prefix_exclusive_sum(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > 349< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > < span class = "preprocessor" > METAL_FUNC otype simd_prefix_inclusive_product(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00352" name = "l00352" > < / a > < span class = "lineno" > 352< / span > < span class = "preprocessor" > __metal_simd_prefix_inclusive_product(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00353" name = "l00353" > < / a > < span class = "lineno" > 353< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > < span class = "preprocessor" > METAL_FUNC otype simd_prefix_inclusive_sum(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < span class = "preprocessor" > return static_cast< otype> ( \< / span > < / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > < span class = "preprocessor" > __metal_simd_prefix_inclusive_sum(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > < span class = "preprocessor" > METAL_FUNC otype simd_product(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > 361< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_simd_product(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > < span class = "preprocessor" > METAL_FUNC otype simd_sum(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > 365< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_simd_sum(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > < span class = "preprocessor" > } \< / span > < / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > < span class = "preprocessor" > \< / span > < / div >
< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > < span class = "preprocessor" > METAL_FUNC otype simd_xor(itype data) { \< / span > < / div >
< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > < span class = "preprocessor" > return static_cast< otype> (__metal_simd_xor(static_cast< ctype> (data))); \< / span > < / div >
< div class = "line" > < a id = "l00370" name = "l00370" > < / a > < span class = "lineno" > 370< / span > < span class = "preprocessor" > }< / span > < / div >
< / div >
< div class = "line" > < a id = "l00371" name = "l00371" > < / a > < span class = "lineno" > 371< / span > < / div >
2024-07-12 06:32:08 +08:00
< div class = "line" > < a id = "l00372" name = "l00372" > < / a > < span class = "lineno" > 372< / span > < span class = "preprocessor" > #if (MLX_METAL_VERSION > = 310) || (__METAL_VERSION__ > = 310)< / span > < / div >
2024-06-07 11:28:06 +08:00
< div class = "line" > < a id = "l00373" name = "l00373" > < / a > < span class = "lineno" > 373< / span > < / div >
< div class = "line" > < a id = "l00374" name = "l00374" > < / a > < span class = "lineno" > 374< / span > < span class = "preprocessor" > #define bfloat16_to_uint16(x) as_type< uint16_t> (x)< / span > < / div >
< div class = "line" > < a id = "l00375" name = "l00375" > < / a > < span class = "lineno" > 375< / span > < span class = "preprocessor" > #define uint16_to_bfloat16(x) as_type< bfloat16_t> (x)< / span > < / div >
< div class = "line" > < a id = "l00376" name = "l00376" > < / a > < span class = "lineno" > 376< / span > < / div >
< div class = "line" > < a id = "l00377" name = "l00377" > < / a > < span class = "lineno" > 377< / span > < span class = "preprocessor" > #else< / span > < / div >
< div class = "line" > < a id = "l00378" name = "l00378" > < / a > < span class = "lineno" > 378< / span > < / div >
< div class = "line" > < a id = "l00379" name = "l00379" > < / a > < span class = "lineno" > < a class = "line" href = "bf16__math_8h.html#a51cfdd4502e755310f6f3456f039bea7" > 379< / a > < / span > < span class = "preprocessor" > #define bfloat16_to_uint16(x) x.bits_< / span > < / div >
< div class = "line" > < a id = "l00380" name = "l00380" > < / a > < span class = "lineno" > < a class = "line" href = "bf16__math_8h.html#a030d871474c0e7d907fccffcc8c047e0" > 380< / a > < / span > < span class = "preprocessor" > #define uint16_to_bfloat16(x) _MLX_BFloat16(x, _MLX_BFloat16::bits_to_bfloat())< / span > < / div >
< div class = "line" > < a id = "l00381" name = "l00381" > < / a > < span class = "lineno" > 381< / span > < / div >
< div class = "line" > < a id = "l00382" name = "l00382" > < / a > < span class = "lineno" > 382< / span > < span class = "preprocessor" > #endif< / span > < / div >
< div class = "line" > < a id = "l00383" name = "l00383" > < / a > < span class = "lineno" > 383< / span > < / div >
< div class = "line" > < a id = "l00384" name = "l00384" > < / a > < span class = "lineno" > 384< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespacemetal.html" > metal< / a > {< / div >
< div class = "line" > < a id = "l00385" name = "l00385" > < / a > < span class = "lineno" > 385< / span > < / div >
< div class = "line" > < a id = "l00386" name = "l00386" > < / a > < span class = "lineno" > 386< / span > < a class = "code hl_define" href = "bf16__math_8h.html#aecc11cb898846d01bfc9faa109fcf791" > instantiate_metal_simd_comm_funcs< / a > (< / div >
< div class = "line" > < a id = "l00387" name = "l00387" > < / a > < span class = "lineno" > 387< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00388" name = "l00388" > < / a > < span class = "lineno" > 388< / span > < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > ,< / div >
< div class = "line" > < a id = "l00389" name = "l00389" > < / a > < span class = "lineno" > 389< / span > uint16_t,< / div >
< div class = "line" > < a id = "l00390" name = "l00390" > < / a > < span class = "lineno" > 390< / span > < a class = "code hl_define" href = "bf16__math_8h.html#a51cfdd4502e755310f6f3456f039bea7" > bfloat16_to_uint16< / a > ,< / div >
< div class = "line" > < a id = "l00391" name = "l00391" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal.html#a498f1e85107eb5f01ba4435977f8efe0" > 391< / a > < / span > < a class = "code hl_define" href = "bf16__math_8h.html#a030d871474c0e7d907fccffcc8c047e0" > uint16_to_bfloat16< / a > );< / div >
< div class = "line" > < a id = "l00392" name = "l00392" > < / a > < span class = "lineno" > < a class = "line" href = "namespacemetal.html#a048cad0aca52cb737ebf103e76bd1c49" > 392< / a > < / span > < a class = "code hl_define" href = "bf16__math_8h.html#a51688bc24fc9292aaec5f54a58eaa2d0" > instantiate_metal_simd_reduction_funcs< / a > (< a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > , < a class = "code hl_struct" href = "struct___m_l_x___b_float16.html" > bfloat16_t< / a > , < span class = "keywordtype" > float< / span > );< / div >
< div class = "line" > < a id = "l00393" name = "l00393" > < / a > < span class = "lineno" > 393< / span > < / div >
< div class = "line" > < a id = "l00394" name = "l00394" > < / a > < span class = "lineno" > 394< / span > } < span class = "comment" > // namespace metal< / span > < / div >
< div class = "ttc" id = "abackend_2metal_2kernels_2bf16_8h_html" > < div class = "ttname" > < a href = "backend_2metal_2kernels_2bf16_8h.html" > bf16.h< / a > < / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html_a030d871474c0e7d907fccffcc8c047e0" > < div class = "ttname" > < a href = "bf16__math_8h.html#a030d871474c0e7d907fccffcc8c047e0" > uint16_to_bfloat16< / a > < / div > < div class = "ttdeci" > #define uint16_to_bfloat16(x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:380< / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html_a51688bc24fc9292aaec5f54a58eaa2d0" > < div class = "ttname" > < a href = "bf16__math_8h.html#a51688bc24fc9292aaec5f54a58eaa2d0" > instantiate_metal_simd_reduction_funcs< / a > < / div > < div class = "ttdeci" > #define instantiate_metal_simd_reduction_funcs(itype, otype, ctype)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:330< / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html_a51cfdd4502e755310f6f3456f039bea7" > < div class = "ttname" > < a href = "bf16__math_8h.html#a51cfdd4502e755310f6f3456f039bea7" > bfloat16_to_uint16< / a > < / div > < div class = "ttdeci" > #define bfloat16_to_uint16(x)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:379< / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html_a9e9f0fdd6e304522bc88acd22c576842" > < div class = "ttname" > < a href = "bf16__math_8h.html#a9e9f0fdd6e304522bc88acd22c576842" > instantiate_metal_math_funcs< / a > < / div > < div class = "ttdeci" > #define instantiate_metal_math_funcs(itype, otype, ctype, mfast)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:35< / div > < / div >
< div class = "ttc" id = "abf16__math_8h_html_aecc11cb898846d01bfc9faa109fcf791" > < div class = "ttname" > < a href = "bf16__math_8h.html#aecc11cb898846d01bfc9faa109fcf791" > instantiate_metal_simd_comm_funcs< / a > < / div > < div class = "ttdeci" > #define instantiate_metal_simd_comm_funcs( itype, otype, ctype, itype_to_ctype, ctype_to_otype)< / div > < div class = "ttdef" > < b > Definition< / b > bf16_math.h:262< / 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 >
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