/* This file is part of the dynarmic project. * Copyright (c) 2018 MerryMage * This software may be used and distributed according to the terms of the GNU * General Public License version 2 or any later version. */ #include "common/fp/mantissa_util.h" #include "common/fp/unpacked.h" #include "common/u128.h" namespace Dynarmic::FP { constexpr size_t product_point_position = normalized_point_position * 2; static FPUnpacked ReduceMantissa(bool sign, int exponent, const u128& mantissa) { constexpr int point_position_correction = normalized_point_position - (product_point_position - 64); // We round-to-odd here when reducing the bitwidth of the mantissa so that subsequent roundings are accurate. return {sign, exponent + point_position_correction, mantissa.upper | static_cast(mantissa.lower != 0)}; } FPUnpacked FusedMulAdd(FPUnpacked addend, FPUnpacked op1, FPUnpacked op2) { const bool product_sign = op1.sign != op2.sign; const auto [product_exponent, product_value] = [op1, op2]{ int exponent = op1.exponent + op2.exponent; u128 value = Multiply64To128(op1.mantissa, op2.mantissa); if (value.Bit()) { value = value >> 1; exponent++; } return std::make_tuple(exponent, value); }(); if (product_value == 0) { return addend; } if (addend.mantissa == 0) { return ReduceMantissa(product_sign, product_exponent, product_value); } const int exp_diff = product_exponent - addend.exponent; if (product_sign == addend.sign) { // Addition if (exp_diff <= 0) { // addend > product const u64 result = addend.mantissa + StickyLogicalShiftRight(product_value, normalized_point_position - exp_diff).lower; return FPUnpacked{addend.sign, addend.exponent, result}; } // addend < product const u128 result = product_value + StickyLogicalShiftRight(addend.mantissa, exp_diff - normalized_point_position); return ReduceMantissa(product_sign, product_exponent, result); } // Subtraction const u128 addend_long = u128(addend.mantissa) << normalized_point_position; bool result_sign; u128 result; int result_exponent; if (exp_diff == 0 && product_value > addend_long) { result_sign = product_sign; result_exponent = product_exponent; result = product_value - addend_long; } else if (exp_diff <= 0) { result_sign = !product_sign; result_exponent = addend.exponent; result = addend_long - StickyLogicalShiftRight(product_value, -exp_diff); } else { result_sign = product_sign; result_exponent = product_exponent; result = product_value - StickyLogicalShiftRight(addend_long, exp_diff); } if (result.upper == 0) { return FPUnpacked{result_sign, result_exponent, result.lower}; } const int required_shift = normalized_point_position - Common::HighestSetBit(result.upper); result = result << required_shift; result_exponent -= required_shift; return ReduceMantissa(result_sign, result_exponent, result); } } // namespace Dynarmic::FP