dynarmic/src/common/fp/fused.cpp
2020-04-22 20:46:21 +01:00

102 lines
3.4 KiB
C++

/* 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/assert.h"
#include "common/fp/mantissa_util.h"
#include "common/fp/unpacked.h"
#include "common/u128.h"
namespace Dynarmic::FP {
constexpr size_t normalized_point_position = 62;
constexpr size_t product_point_position = normalized_point_position * 2;
static FPUnpacked NormalizeUnpacked(FPUnpacked op) {
constexpr int desired_highest = static_cast<int>(normalized_point_position);
const int highest_bit = Common::HighestSetBit(op.mantissa);
DEBUG_ASSERT(highest_bit < desired_highest);
const int offset = desired_highest - highest_bit;
op.mantissa <<= offset;
op.exponent -= offset;
return op;
}
FPUnpacked FusedMulAdd(FPUnpacked addend, FPUnpacked op1, FPUnpacked op2) {
addend = NormalizeUnpacked(addend);
op1 = NormalizeUnpacked(op1);
op2 = NormalizeUnpacked(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<product_point_position + 1>()) {
value = value >> 1;
exponent++;
}
return std::make_tuple(exponent, value);
}();
if (product_value == 0) {
return addend;
}
if (addend.mantissa == 0) {
return FPUnpacked{product_sign, product_exponent + 64, product_value.upper | u64(product_value.lower != 0)};
}
const int exp_diff = product_exponent - (addend.exponent - normalized_point_position);
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 FPUnpacked{product_sign, product_exponent + 64, result.upper | u64(result.lower != 0)};
}
// 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 - normalized_point_position;
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 FPUnpacked{result_sign, result_exponent + 64, result.upper | u64(result.lower != 0)};
}
} // namespace Dynarmic::FP