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| 1 | +//===-- Implementation header for exp2f16 -----------------------*- C++ -*-===// |
| 2 | +// |
| 3 | +// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| 4 | +// See https://llvm.org/LICENSE.txt for license information. |
| 5 | +// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| 6 | +// |
| 7 | +//===----------------------------------------------------------------------===// |
| 8 | + |
| 9 | +#ifndef LLVM_LIBC_SRC___SUPPORT_MATH_EXP2F16_H |
| 10 | +#define LLVM_LIBC_SRC___SUPPORT_MATH_EXP2F16_H |
| 11 | + |
| 12 | +#include "include/llvm-libc-macros/float16-macros.h" |
| 13 | + |
| 14 | +#ifdef LIBC_TYPES_HAS_FLOAT16 |
| 15 | + |
| 16 | +#include "expxf16_utils.h" |
| 17 | +#include "src/__support/FPUtil/FEnvImpl.h" |
| 18 | +#include "src/__support/FPUtil/FPBits.h" |
| 19 | +#include "src/__support/FPUtil/cast.h" |
| 20 | +#include "src/__support/FPUtil/except_value_utils.h" |
| 21 | +#include "src/__support/FPUtil/rounding_mode.h" |
| 22 | +#include "src/__support/common.h" |
| 23 | +#include "src/__support/macros/config.h" |
| 24 | +#include "src/__support/macros/optimization.h" |
| 25 | + |
| 26 | +namespace LIBC_NAMESPACE_DECL { |
| 27 | + |
| 28 | +namespace math { |
| 29 | + |
| 30 | +LIBC_INLINE static constexpr float16 exp2f16(float16 x) { |
| 31 | + |
| 32 | +#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS |
| 33 | + constexpr fputil::ExceptValues<float16, 3> EXP2F16_EXCEPTS = {{ |
| 34 | + // (input, RZ output, RU offset, RD offset, RN offset) |
| 35 | + // x = 0x1.714p-11, exp2f16(x) = 0x1p+0 (RZ) |
| 36 | + {0x11c5U, 0x3c00U, 1U, 0U, 1U}, |
| 37 | + // x = -0x1.558p-4, exp2f16(x) = 0x1.e34p-1 (RZ) |
| 38 | + {0xad56U, 0x3b8dU, 1U, 0U, 0U}, |
| 39 | + // x = -0x1.d5cp-4, exp2f16(x) = 0x1.d8cp-1 (RZ) |
| 40 | + {0xaf57U, 0x3b63U, 1U, 0U, 0U}, |
| 41 | + }}; |
| 42 | +#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS |
| 43 | + |
| 44 | + using namespace math::expxf16_internal; |
| 45 | + using FPBits = fputil::FPBits<float16>; |
| 46 | + FPBits x_bits(x); |
| 47 | + |
| 48 | + uint16_t x_u = x_bits.uintval(); |
| 49 | + uint16_t x_abs = x_u & 0x7fffU; |
| 50 | + |
| 51 | + // When |x| >= 16, or x is NaN. |
| 52 | + if (LIBC_UNLIKELY(x_abs >= 0x4c00U)) { |
| 53 | + // exp2(NaN) = NaN |
| 54 | + if (x_bits.is_nan()) { |
| 55 | + if (x_bits.is_signaling_nan()) { |
| 56 | + fputil::raise_except_if_required(FE_INVALID); |
| 57 | + return FPBits::quiet_nan().get_val(); |
| 58 | + } |
| 59 | + |
| 60 | + return x; |
| 61 | + } |
| 62 | + |
| 63 | + // When x >= 16. |
| 64 | + if (x_bits.is_pos()) { |
| 65 | + // exp2(+inf) = +inf |
| 66 | + if (x_bits.is_inf()) |
| 67 | + return FPBits::inf().get_val(); |
| 68 | + |
| 69 | + switch (fputil::quick_get_round()) { |
| 70 | + case FE_TONEAREST: |
| 71 | + case FE_UPWARD: |
| 72 | + fputil::set_errno_if_required(ERANGE); |
| 73 | + fputil::raise_except_if_required(FE_OVERFLOW); |
| 74 | + return FPBits::inf().get_val(); |
| 75 | + default: |
| 76 | + return FPBits::max_normal().get_val(); |
| 77 | + } |
| 78 | + } |
| 79 | + |
| 80 | + // When x <= -25. |
| 81 | + if (x_u >= 0xce40U) { |
| 82 | + // exp2(-inf) = +0 |
| 83 | + if (x_bits.is_inf()) |
| 84 | + return FPBits::zero().get_val(); |
| 85 | + |
| 86 | + fputil::set_errno_if_required(ERANGE); |
| 87 | + fputil::raise_except_if_required(FE_UNDERFLOW | FE_INEXACT); |
| 88 | + |
| 89 | + if (fputil::fenv_is_round_up()) |
| 90 | + return FPBits::min_subnormal().get_val(); |
| 91 | + return FPBits::zero().get_val(); |
| 92 | + } |
| 93 | + } |
| 94 | + |
| 95 | +#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS |
| 96 | + if (auto r = EXP2F16_EXCEPTS.lookup(x_u); LIBC_UNLIKELY(r.has_value())) |
| 97 | + return r.value(); |
| 98 | +#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS |
| 99 | + |
| 100 | + // exp2(x) = exp2(hi + mid) * exp2(lo) |
| 101 | + auto [exp2_hi_mid, exp2_lo] = exp2_range_reduction(x); |
| 102 | + return fputil::cast<float16>(exp2_hi_mid * exp2_lo); |
| 103 | +} |
| 104 | + |
| 105 | +} // namespace math |
| 106 | + |
| 107 | +} // namespace LIBC_NAMESPACE_DECL |
| 108 | + |
| 109 | +#endif // LIBC_TYPES_HAS_FLOAT16 |
| 110 | + |
| 111 | +#endif // LLVM_LIBC_SRC___SUPPORT_MATH_EXP2F16_H |
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