//===-- Single-precision sinh 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/sinhf.h" #include "src/__support/FPUtil/FPBits.h" #include "src/__support/macros/optimization.h" // LIBC_UNLIKELY #include "src/math/generic/explogxf.h" namespace __llvm_libc { LLVM_LIBC_FUNCTION(float, sinhf, (float x)) { using FPBits = typename fputil::FPBits; FPBits xbits(x); bool sign = xbits.get_sign(); uint32_t x_abs = xbits.uintval() & FPBits::FloatProp::EXP_MANT_MASK; // |x| <= 2^-26 if (LIBC_UNLIKELY(x_abs <= 0x3280'0000U)) { return static_cast( LIBC_UNLIKELY(x_abs == 0) ? x : (x + 0.25 * x * x * x)); } // When |x| >= 90, or x is inf or nan if (LIBC_UNLIKELY(x_abs >= 0x42b4'0000U)) { if (xbits.is_nan()) return x + 1.0f; // sNaN to qNaN + signal if (xbits.is_inf()) return x; int rounding = fputil::get_round(); if (sign) { if (LIBC_UNLIKELY(rounding == FE_UPWARD || rounding == FE_TOWARDZERO)) return FPBits(FPBits::MAX_NORMAL | FPBits::FloatProp::SIGN_MASK) .get_val(); } else { if (LIBC_UNLIKELY(rounding == FE_DOWNWARD || rounding == FE_TOWARDZERO)) return FPBits(FPBits::MAX_NORMAL).get_val(); } fputil::set_errno_if_required(ERANGE); fputil::raise_except_if_required(FE_OVERFLOW); return x + FPBits::inf(sign).get_val(); } // |x| <= 0.078125 if (LIBC_UNLIKELY(x_abs <= 0x3da0'0000U)) { // |x| = 0.0005589424981735646724700927734375 if (LIBC_UNLIKELY(x_abs == 0x3a12'85ffU)) { if (fputil::get_round() == FE_TONEAREST) return x; } double xdbl = x; double x2 = xdbl * xdbl; // Sollya: fpminimax(sinh(x),[|3,5,7|],[|D...|],[-1/16-1/64;1/16+1/64],x); // Sollya output: x * (0x1p0 + x^0x1p1 * (0x1.5555555556583p-3 + x^0x1p1 // * (0x1.111110d239f1fp-7 // + x^0x1p1 * 0x1.a02b5a284013cp-13))) // Therefore, output of Sollya = x * pe; double pe = fputil::polyeval(x2, 0.0, 0x1.5555555556583p-3, 0x1.111110d239f1fp-7, 0x1.a02b5a284013cp-13); return static_cast(fputil::multiply_add(xdbl, pe, xdbl)); } // sinh(x) = (e^x - e^(-x)) / 2. return static_cast(exp_pm_eval(x)); } } // namespace __llvm_libc