//===-- Half-precision cosh(x) function -----------------------------------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// #include "src/math/coshf16.h" #include "expxf16.h" #include "hdr/errno_macros.h" #include "hdr/fenv_macros.h" #include "src/__support/FPUtil/FEnvImpl.h" #include "src/__support/FPUtil/FPBits.h" #include "src/__support/FPUtil/except_value_utils.h" #include "src/__support/FPUtil/rounding_mode.h" #include "src/__support/common.h" #include "src/__support/macros/config.h" #include "src/__support/macros/optimization.h" namespace LIBC_NAMESPACE_DECL { static constexpr fputil::ExceptValues COSHF16_EXCEPTS_POS = {{ // x = 0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ) {0x29a8U, 0x3c00U, 1U, 0U, 1U}, // x = 0x1.8c4p+0, coshf16(x) = 0x1.3a8p+1 (RZ) {0x3e31U, 0x40eaU, 1U, 0U, 0U}, // x = 0x1.994p+0, coshf16(x) = 0x1.498p+1 (RZ) {0x3e65U, 0x4126U, 1U, 0U, 0U}, // x = 0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ) {0x3ed8U, 0x41b6U, 1U, 0U, 1U}, // x = 0x1.aap+1, coshf16(x) = 0x1.be8p+3 (RZ) {0x42a8U, 0x4afaU, 1U, 0U, 1U}, // x = 0x1.cc4p+1, coshf16(x) = 0x1.23cp+4 (RZ) {0x4331U, 0x4c8fU, 1U, 0U, 0U}, // x = 0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ) {0x44a2U, 0x526dU, 1U, 0U, 0U}, // x = 0x1.958p+2, coshf16(x) = 0x1.1a4p+8 (RZ) {0x4656U, 0x5c69U, 1U, 0U, 0U}, // x = 0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ) {0x497cU, 0x7715U, 1U, 0U, 1U}, }}; static constexpr fputil::ExceptValues COSHF16_EXCEPTS_NEG = {{ // x = -0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ) {0xa9a8U, 0x3c00U, 1U, 0U, 1U}, // x = -0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ) {0xbed8U, 0x41b6U, 1U, 0U, 1U}, // x = -0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ) {0xc4a2U, 0x526dU, 1U, 0U, 0U}, // x = -0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ) {0xc97cU, 0x7715U, 1U, 0U, 1U}, }}; LLVM_LIBC_FUNCTION(float16, coshf16, (float16 x)) { using FPBits = fputil::FPBits; FPBits x_bits(x); uint16_t x_u = x_bits.uintval(); uint16_t x_abs = x_u & 0x7fffU; // When |x| >= acosh(2^16), or x is NaN. if (LIBC_UNLIKELY(x_abs >= 0x49e5U)) { // cosh(NaN) = NaN if (x_bits.is_nan()) { if (x_bits.is_signaling_nan()) { fputil::raise_except_if_required(FE_INVALID); return FPBits::quiet_nan().get_val(); } return x; } // When |x| >= acosh(2^16). if (x_abs >= 0x49e5U) { // cosh(+/-inf) = +inf if (x_bits.is_inf()) return FPBits::inf().get_val(); switch (fputil::quick_get_round()) { case FE_TONEAREST: case FE_UPWARD: fputil::set_errno_if_required(ERANGE); fputil::raise_except_if_required(FE_OVERFLOW | FE_INEXACT); return FPBits::inf().get_val(); default: return FPBits::max_normal().get_val(); } } } if (x_bits.is_pos()) { if (auto r = COSHF16_EXCEPTS_POS.lookup(x_u); LIBC_UNLIKELY(r.has_value())) return r.value(); } else { if (auto r = COSHF16_EXCEPTS_NEG.lookup(x_u); LIBC_UNLIKELY(r.has_value())) return r.value(); } return eval_sinh_or_cosh(x); } } // namespace LIBC_NAMESPACE_DECL