//===-- Division of IEEE 754 floating-point numbers -------------*- C++ -*-===// // // 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 // //===----------------------------------------------------------------------===// #ifndef LLVM_LIBC_SRC___SUPPORT_FPUTIL_GENERIC_DIV_H #define LLVM_LIBC_SRC___SUPPORT_FPUTIL_GENERIC_DIV_H #include "hdr/errno_macros.h" #include "hdr/fenv_macros.h" #include "src/__support/CPP/algorithm.h" #include "src/__support/CPP/bit.h" #include "src/__support/CPP/type_traits.h" #include "src/__support/FPUtil/BasicOperations.h" #include "src/__support/FPUtil/FEnvImpl.h" #include "src/__support/FPUtil/FPBits.h" #include "src/__support/FPUtil/dyadic_float.h" #include "src/__support/macros/attributes.h" #include "src/__support/macros/config.h" #include "src/__support/macros/optimization.h" namespace LIBC_NAMESPACE_DECL { namespace fputil::generic { template LIBC_INLINE cpp::enable_if_t && cpp::is_floating_point_v && sizeof(OutType) <= sizeof(InType), OutType> div(InType x, InType y) { using OutFPBits = FPBits; using OutStorageType = typename OutFPBits::StorageType; using InFPBits = FPBits; using InStorageType = typename InFPBits::StorageType; using DyadicFloat = DyadicFloat(16), cpp::bit_ceil(static_cast(InFPBits::SIG_LEN + 1)))>; InFPBits x_bits(x); InFPBits y_bits(y); Sign result_sign = x_bits.sign() == y_bits.sign() ? Sign::POS : Sign::NEG; if (LIBC_UNLIKELY(x_bits.is_inf_or_nan() || y_bits.is_inf_or_nan() || x_bits.is_zero() || y_bits.is_zero())) { if (x_bits.is_nan() || y_bits.is_nan()) { if (x_bits.is_signaling_nan() || y_bits.is_signaling_nan()) raise_except_if_required(FE_INVALID); if (x_bits.is_quiet_nan()) { InStorageType x_payload = x_bits.get_mantissa(); x_payload >>= InFPBits::FRACTION_LEN - OutFPBits::FRACTION_LEN; return OutFPBits::quiet_nan(x_bits.sign(), static_cast(x_payload)) .get_val(); } if (y_bits.is_quiet_nan()) { InStorageType y_payload = y_bits.get_mantissa(); y_payload >>= InFPBits::FRACTION_LEN - OutFPBits::FRACTION_LEN; return OutFPBits::quiet_nan(y_bits.sign(), static_cast(y_payload)) .get_val(); } return OutFPBits::quiet_nan().get_val(); } if (x_bits.is_inf()) { if (y_bits.is_inf()) { set_errno_if_required(EDOM); raise_except_if_required(FE_INVALID); return OutFPBits::quiet_nan().get_val(); } return OutFPBits::inf(result_sign).get_val(); } if (y_bits.is_inf()) return OutFPBits::zero(result_sign).get_val(); if (y_bits.is_zero()) { if (x_bits.is_zero()) { raise_except_if_required(FE_INVALID); return OutFPBits::quiet_nan().get_val(); } raise_except_if_required(FE_DIVBYZERO); return OutFPBits::inf(result_sign).get_val(); } if (x_bits.is_zero()) return OutFPBits::zero(result_sign).get_val(); } DyadicFloat xd(x); DyadicFloat yd(y); // Number of iterations = full output precision + 1 rounding bit + 1 potential // leading 0. constexpr int NUM_ITERS = OutFPBits::FRACTION_LEN + 3; int result_exp = xd.exponent - yd.exponent - (NUM_ITERS - 1); InStorageType q = 0; InStorageType r = static_cast(xd.mantissa >> 2); InStorageType yd_mant_in = static_cast(yd.mantissa >> 1); for (int i = 0; i < NUM_ITERS; ++i) { q <<= 1; r <<= 1; if (r >= yd_mant_in) { q += 1; r -= yd_mant_in; } } DyadicFloat result(result_sign, result_exp, q); result.mantissa |= static_cast(r != 0); return result.template as(); } } // namespace fputil::generic } // namespace LIBC_NAMESPACE_DECL #endif // LLVM_LIBC_SRC___SUPPORT_FPUTIL_GENERIC_DIV_H