// SPDX-License-Identifier: MIT // Copyright (c) 2024-2025, Advanced Micro Devices, Inc. All rights reserved. #pragma once #include "ck/utility/type.hpp" namespace ck { /** * @brief Unsigned representation of a conventional biased Float32 exponent. * * bias = 127; * * E8M0_1 = 0b01111111; => 2^(127-127) = 1 * E8M0_2 = 0b10000000; => 2^(128-127) = 2^1 = 2 * E8M0_3 = 0b10000010; => 2^(130-127) = 2^3 = 8 * E8M0_135 = 0b10000111; => 2^(135-127) = 2^8 = 256 * E8M0_142 = 0b10001110; => 2^(142-127) = 2^15 = 32768 * E8M0_MIN = 0b00000000; => 2^-127 * E8M0_MAX = 0b11111110; => 2^127 * E8M0_NAN = 0b11111111; => NaN */ struct e8m0_bexp_t { using type = uint8_t; type data; constexpr static type bias = 127; constexpr static type nan_mask = 0xFF; __host__ __device__ constexpr e8m0_bexp_t() : data{type{}} {} __host__ __device__ constexpr e8m0_bexp_t(type init) : data{init} {} __host__ __device__ constexpr e8m0_bexp_t(int init) : data{static_cast(init & nan_mask)} { } __host__ __device__ explicit constexpr e8m0_bexp_t(float scale) : data{static_cast((bit_cast(scale) & (nan_mask << 23)) >> 23)} { } __host__ __device__ explicit constexpr operator float() const { if(data == nan_mask || data == 0) { uint32_t bits = data << 1; bits |= 1; bits <<= 22; return bit_cast(bits); } else { uint32_t bits = data << 23; return bit_cast(bits); } } __host__ __device__ constexpr bool operator==(const e8m0_bexp_t& other) const { // strict IEEE compliance for NaN return data == other.data && data != nan_mask; } __host__ __device__ constexpr bool is_nan() const { return data == nan_mask; } }; namespace utils { template __host__ __device__ inline constexpr int32_t get_exponent_value(T x); template <> __host__ __device__ inline constexpr int32_t get_exponent_value(e8m0_bexp_t x) { return x.data; } } // namespace utils } // namespace ck