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| //===-- Single-precision atanh 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 | |
| // | |
| //===----------------------------------------------------------------------===// | |
| namespace LIBC_NAMESPACE_DECL { | |
| LLVM_LIBC_FUNCTION(float, atanhf, (float x)) { | |
| using FPBits = typename fputil::FPBits<float>; | |
| FPBits xbits(x); | |
| Sign sign = xbits.sign(); | |
| uint32_t x_abs = xbits.abs().uintval(); | |
| // |x| >= 1.0 | |
| if (LIBC_UNLIKELY(x_abs >= 0x3F80'0000U)) { | |
| if (xbits.is_nan()) { | |
| if (xbits.is_signaling_nan()) { | |
| fputil::raise_except_if_required(FE_INVALID); | |
| return FPBits::quiet_nan().get_val(); | |
| } | |
| return x; | |
| } | |
| // |x| == 1.0 | |
| if (x_abs == 0x3F80'0000U) { | |
| fputil::set_errno_if_required(ERANGE); | |
| fputil::raise_except_if_required(FE_DIVBYZERO); | |
| return FPBits::inf(sign).get_val(); | |
| } else { | |
| fputil::set_errno_if_required(EDOM); | |
| fputil::raise_except_if_required(FE_INVALID); | |
| return FPBits::quiet_nan().get_val(); | |
| } | |
| } | |
| // |x| < ~0.10 | |
| if (LIBC_UNLIKELY(x_abs <= 0x3dcc'0000U)) { | |
| // |x| <= 2^-26 | |
| if (LIBC_UNLIKELY(x_abs <= 0x3280'0000U)) { | |
| return static_cast<float>(LIBC_UNLIKELY(x_abs == 0) | |
| ? x | |
| : (x + 0x1.5555555555555p-2 * x * x * x)); | |
| } | |
| double xdbl = x; | |
| double x2 = xdbl * xdbl; | |
| // Pure Taylor series. | |
| double pe = fputil::polyeval(x2, 0.0, 0x1.5555555555555p-2, | |
| 0x1.999999999999ap-3, 0x1.2492492492492p-3, | |
| 0x1.c71c71c71c71cp-4, 0x1.745d1745d1746p-4); | |
| return static_cast<float>(fputil::multiply_add(xdbl, pe, xdbl)); | |
| } | |
| double xdbl = x; | |
| return static_cast<float>(0.5 * log_eval((xdbl + 1.0) / (xdbl - 1.0))); | |
| } | |
| } // namespace LIBC_NAMESPACE_DECL | |