Kernel generation (#614)

Generate reusable element-wise kernels given a computation graph.
This commit is contained in:
Angelos Katharopoulos
2024-02-07 13:15:59 -08:00
committed by GitHub
parent 5fd11c347d
commit 28eac18571
19 changed files with 1302 additions and 459 deletions

View File

@@ -1,176 +1,6 @@
// Copyright © 2023 Apple Inc.
// Copyright © 2023-2024 Apple Inc.
#include <metal_integer>
#include <metal_math>
#include "mlx/backend/metal/kernels/utils.h"
#include "mlx/backend/metal/kernels/bf16.h"
struct Add {
template <typename T> T operator()(T x, T y) { return x + y; }
};
struct Divide {
template <typename T> T operator()(T x, T y) { return x / y; }
};
struct Remainder {
template <typename T> T operator()(T x, T y) { return x % y; }
template <> float operator()(float x, float y) { return fmod(x, y); }
template <> half operator()(half x, half y) { return fmod(x, y); }
template <> bfloat16_t operator()(bfloat16_t x, bfloat16_t y) { return fmod(x, y); }
};
struct Equal {
template <typename T> bool operator()(T x, T y) { return x == y; }
};
struct NaNEqual {
template <typename T> bool operator()(T x, T y) {
return x == y || (metal::isnan(x) && metal::isnan(y));
}
template <>
bool operator()(complex64_t x, complex64_t y) {
return x == y ||
(metal::isnan(x.real) && metal::isnan(y.real)
&& metal::isnan(x.imag) && metal::isnan(y.imag)) ||
(x.real == y.real && metal::isnan(x.imag) && metal::isnan(y.imag)) ||
(metal::isnan(x.real) && metal::isnan(y.real) && x.imag == y.imag);
}
};
struct Greater {
template <typename T> bool operator()(T x, T y) { return x > y; }
};
struct GreaterEqual {
template <typename T> bool operator()(T x, T y) { return x >= y; }
};
struct Less {
template <typename T> bool operator()(T x, T y) { return x < y; }
};
struct LessEqual {
template <typename T> bool operator()(T x, T y) { return x <= y; }
};
struct LogAddExp {
template <typename T>
T operator()(T x, T y) {
if (metal::isnan(x) || metal::isnan(y)) {
return metal::numeric_limits<T>::quiet_NaN();
}
constexpr T inf = metal::numeric_limits<T>::infinity();
T maxval = metal::max(x, y);
T minval = metal::min(x, y);
return (minval == -inf || maxval == inf) ? maxval :
(maxval + log1p(metal::exp(minval - maxval)));
};
};
struct Maximum {
template <typename T>
metal::enable_if_t<metal::is_integral_v<T>, T> operator()(T x, T y) {
return metal::max(x, y);
}
template <typename T>
metal::enable_if_t<!metal::is_integral_v<T>, T> operator()(T x, T y) {
if (metal::isnan(x)) {
return x;
}
return x > y ? x : y;
}
template <>
complex64_t operator()(complex64_t x, complex64_t y) {
if (metal::isnan(x.real) || metal::isnan(x.imag)) {
return x;
}
return x > y ? x : y;
}
};
struct Minimum {
template <typename T>
metal::enable_if_t<metal::is_integral_v<T>, T> operator()(T x, T y) {
return metal::min(x, y);
}
template <typename T>
metal::enable_if_t<!metal::is_integral_v<T>, T> operator()(T x, T y) {
if (metal::isnan(x)) {
return x;
}
return x < y ? x : y;
}
template <>
complex64_t operator()(complex64_t x, complex64_t y) {
if (metal::isnan(x.real) || metal::isnan(x.imag)) {
return x;
}
return x < y ? x : y;
}
};
struct Multiply {
template <typename T> T operator()(T x, T y) { return x * y; }
};
struct NotEqual {
template <typename T> bool operator()(T x, T y) { return x != y; }
template <>
bool operator()(complex64_t x, complex64_t y) {
return x.real != y.real || x.imag != y.imag;
}
};
struct Power {
template <typename T>
metal::enable_if_t<!metal::is_integral_v<T>, T> operator()(T base, T exp) {
return metal::pow(base, exp);
}
template <typename T>
metal::enable_if_t<metal::is_integral_v<T>, T> operator()(T base, T exp) {
T res = 1;
while (exp) {
if (exp & 1) {
res *= base;
}
exp >>= 1;
base *= base;
}
return res;
}
template <>
complex64_t operator()(complex64_t x, complex64_t y) {
auto x_theta = metal::atan(x.imag / x.real);
auto x_ln_r = 0.5 * metal::log(x.real * x.real + x.imag * x.imag);
auto mag = metal::exp(y.real * x_ln_r - y.imag * x_theta);
auto phase = y.imag * x_ln_r + y.real * x_theta;
return {mag * metal::cos(phase), mag * metal::sin(phase)};
}
};
struct Subtract {
template <typename T> T operator()(T x, T y) { return x - y; }
};
struct LogicalAnd {
template <typename T>
T operator()(T x, T y) { return x && y; };
};
struct LogicalOr {
template <typename T>
T operator()(T x, T y) { return x || y; };
};
#include "mlx/backend/metal/kernels/binary.h"
template <typename T, typename U, typename Op>
[[kernel]] void binary_op_s2s(