mirror of https://github.com/bsnes-emu/bsnes.git
343 lines
16 KiB
C++
343 lines
16 KiB
C++
#define ConcatenateType(Size) uint##Size##_t
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#define DeclareType(Size) ConcatenateType(Size)
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#define Pair DeclareType(PairBits)
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#define Type DeclareType(TypeBits)
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#define Half DeclareType(HalfBits)
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//pick the larger of two types to prevent unnecessary data clamping
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#define Cast (typename conditional<sizeof(Pair) >= sizeof(T), Pair, T>::type)
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namespace nall {
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//namespace Arithmetic {
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struct Pair {
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Pair() = default;
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explicit constexpr Pair(const Pair& source) : hi(source.hi), lo(source.lo) {}
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template<typename Hi, typename Lo> constexpr Pair(const Hi& hi, const Lo& lo) : hi(hi), lo(lo) {}
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template<typename T> Pair(const T& source) { _set(*this, source); }
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explicit operator bool() const { return hi | lo; }
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template<typename T> operator T() const { T value; _get(*this, value); return value; }
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auto operator+() const -> Pair { return *this; }
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auto operator-() const -> Pair { return Pair(0) - *this; }
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auto operator~() const -> Pair { return {~hi, ~lo}; }
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auto operator!() const -> bool { return !(hi || lo); }
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auto operator++() -> Pair& { lo++; hi += lo == 0; return *this; }
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auto operator--() -> Pair& { hi -= lo == 0; lo--; return *this; }
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auto operator++(int) -> Pair { Pair r = *this; lo++; hi += lo == 0; return r; }
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auto operator--(int) -> Pair { Pair r = *this; hi -= lo == 0; lo--; return r; }
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auto operator* (const Pair& rhs) const -> Pair { return mul(*this, rhs); }
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auto operator/ (const Pair& rhs) const -> Pair { Pair q, r; div(*this, rhs, q, r); return q; }
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auto operator% (const Pair& rhs) const -> Pair { Pair q, r; div(*this, rhs, q, r); return r; }
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auto operator+ (const Pair& rhs) const -> Pair { return {hi + rhs.hi + (lo + rhs.lo < lo), lo + rhs.lo}; }
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auto operator- (const Pair& rhs) const -> Pair { return {hi - rhs.hi - (lo - rhs.lo > lo), lo - rhs.lo}; }
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auto operator<<(const Pair& rhs) const -> Pair { return shl(*this, rhs); }
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auto operator>>(const Pair& rhs) const -> Pair { return shr(*this, rhs); }
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auto operator& (const Pair& rhs) const -> Pair { return {hi & rhs.hi, lo & rhs.lo}; }
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auto operator| (const Pair& rhs) const -> Pair { return {hi | rhs.hi, lo | rhs.lo}; }
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auto operator^ (const Pair& rhs) const -> Pair { return {hi ^ rhs.hi, lo ^ rhs.lo}; }
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auto operator==(const Pair& rhs) const -> bool { return hi == rhs.hi && lo == rhs.lo; }
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auto operator!=(const Pair& rhs) const -> bool { return hi != rhs.hi || lo != rhs.lo; }
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auto operator>=(const Pair& rhs) const -> bool { return hi > rhs.hi || (hi == rhs.hi && lo >= rhs.lo); }
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auto operator<=(const Pair& rhs) const -> bool { return hi < rhs.hi || (hi == rhs.hi && lo <= rhs.lo); }
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auto operator> (const Pair& rhs) const -> bool { return hi > rhs.hi || (hi == rhs.hi && lo > rhs.lo); }
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auto operator< (const Pair& rhs) const -> bool { return hi < rhs.hi || (hi == rhs.hi && lo < rhs.lo); }
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template<typename T> auto& operator*= (const T& rhs) { return *this = *this * Pair(rhs); }
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template<typename T> auto& operator/= (const T& rhs) { return *this = *this / Pair(rhs); }
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template<typename T> auto& operator%= (const T& rhs) { return *this = *this % Pair(rhs); }
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template<typename T> auto& operator+= (const T& rhs) { return *this = *this + Pair(rhs); }
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template<typename T> auto& operator-= (const T& rhs) { return *this = *this - Pair(rhs); }
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template<typename T> auto& operator<<=(const T& rhs) { return *this = *this << Pair(rhs); }
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template<typename T> auto& operator>>=(const T& rhs) { return *this = *this >> Pair(rhs); }
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template<typename T> auto& operator&= (const T& rhs) { return *this = *this & Pair(rhs); }
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template<typename T> auto& operator|= (const T& rhs) { return *this = *this | Pair(rhs); }
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template<typename T> auto& operator^= (const T& rhs) { return *this = *this ^ Pair(rhs); }
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template<typename T> auto operator* (const T& rhs) const { return Cast(*this) * Cast(rhs); }
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template<typename T> auto operator/ (const T& rhs) const { return Cast(*this) / Cast(rhs); }
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template<typename T> auto operator% (const T& rhs) const { return Cast(*this) % Cast(rhs); }
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template<typename T> auto operator+ (const T& rhs) const { return Cast(*this) + Cast(rhs); }
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template<typename T> auto operator- (const T& rhs) const { return Cast(*this) - Cast(rhs); }
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template<typename T> auto operator<<(const T& rhs) const { return Cast(*this) << Cast(rhs); }
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template<typename T> auto operator>>(const T& rhs) const { return Cast(*this) >> Cast(rhs); }
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template<typename T> auto operator& (const T& rhs) const { return Cast(*this) & Cast(rhs); }
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template<typename T> auto operator| (const T& rhs) const { return Cast(*this) | Cast(rhs); }
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template<typename T> auto operator^ (const T& rhs) const { return Cast(*this) ^ Cast(rhs); }
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template<typename T> auto operator==(const T& rhs) const -> bool { return Cast(*this) == Cast(rhs); }
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template<typename T> auto operator!=(const T& rhs) const -> bool { return Cast(*this) != Cast(rhs); }
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template<typename T> auto operator>=(const T& rhs) const -> bool { return Cast(*this) >= Cast(rhs); }
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template<typename T> auto operator<=(const T& rhs) const -> bool { return Cast(*this) <= Cast(rhs); }
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template<typename T> auto operator> (const T& rhs) const -> bool { return Cast(*this) > Cast(rhs); }
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template<typename T> auto operator< (const T& rhs) const -> bool { return Cast(*this) < Cast(rhs); }
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private:
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Type lo;
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Type hi;
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friend auto upper(const Pair&) -> Type;
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friend auto lower(const Pair&) -> Type;
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friend auto bits(Pair) -> uint;
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friend auto square(const Pair&) -> Pair;
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friend auto square(const Pair&, Pair&, Pair&) -> void;
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friend auto mul(const Pair&, const Pair&) -> Pair;
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friend auto mul(const Pair&, const Pair&, Pair&, Pair&) -> void;
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friend auto div(const Pair&, const Pair&, Pair&, Pair&) -> void;
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template<typename T> friend auto shl(const Pair&, const T&) -> Pair;
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template<typename T> friend auto shr(const Pair&, const T&) -> Pair;
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};
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template<> struct ArithmeticNatural<PairBits> {
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using type = Pair;
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};
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#define ConcatenateUDL(Size) _u##Size
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#define DeclareUDL(Size) ConcatenateUDL(Size)
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alwaysinline auto operator"" DeclareUDL(PairBits)(const char* s) -> Pair {
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Pair p = 0;
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if(s[0] == '0' && (s[1] == 'x' || s[1] == 'X')) {
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s += 2;
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while(*s) {
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auto c = *s++;
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if(c == '\'');
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else if(c >= '0' && c <= '9') p = (p << 4) + (c - '0');
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else if(c >= 'a' && c <= 'f') p = (p << 4) + (c - 'a' + 10);
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else if(c >= 'A' && c <= 'F') p = (p << 4) + (c - 'A' + 10);
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else break;
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}
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} else {
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while(*s) {
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auto c = *s++;
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if(c == '\'');
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else if(c >= '0' && c <= '9') p = (p << 3) + (p << 1) + (c - '0');
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else break;
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}
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}
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return p;
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}
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#undef ConcatenateUDL
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#undef DeclareUDL
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template<typename T> alwaysinline auto _set(Pair& lhs, const T& rhs) -> enable_if_t<(sizeof(Pair) == sizeof(T))> {
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lhs = rhs;
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}
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template<typename T> alwaysinline auto _set(Pair& lhs, const T& rhs) -> enable_if_t<(sizeof(Pair) > sizeof(T))> {
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lhs = {0, rhs};
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}
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template<typename T> alwaysinline auto _set(Pair& lhs, const T& rhs) -> enable_if_t<(sizeof(Pair) < sizeof(T))> {
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lhs = {lower(rhs) >> TypeBits, lower(rhs)};
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}
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template<typename T> alwaysinline auto _get(const Pair& lhs, T& rhs) -> enable_if_t<(sizeof(T) == sizeof(Pair))> {
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rhs = lhs;
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}
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template<typename T> alwaysinline auto _get(const Pair& lhs, T& rhs) -> enable_if_t<(sizeof(T) > sizeof(Pair))> {
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rhs = {0, lhs};
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}
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template<typename T> alwaysinline auto _get(const Pair& lhs, T& rhs) -> enable_if_t<(sizeof(T) < sizeof(Pair))> {
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rhs = lower(lhs);
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}
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alwaysinline auto upper(const Pair& value) -> Type { return value.hi; }
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alwaysinline auto lower(const Pair& value) -> Type { return value.lo; }
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alwaysinline auto bits(Pair value) -> uint {
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if(value.hi) {
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uint bits = TypeBits;
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while(value.hi) value.hi >>= 1, bits++;
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return bits;
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} else {
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uint bits = 0;
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while(value.lo) value.lo >>= 1, bits++;
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return bits;
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}
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}
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//Bits * Bits => Bits
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inline auto square(const Pair& lhs) -> Pair {
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static const Type Mask = (Type(0) - 1) >> HalfBits;
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Type a = lhs.hi >> HalfBits, b = lhs.hi & Mask, c = lhs.lo >> HalfBits, d = lhs.lo & Mask;
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Type dd = square(d), dc = d * c, db = d * b, da = d * a;
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Type cc = square(c), cb = c * b;
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Pair r0 = Pair(dd);
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Pair r1 = Pair(dc) + Pair(dc) + Pair(r0 >> HalfBits);
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Pair r2 = Pair(db) + Pair(cc) + Pair(db) + Pair(r1 >> HalfBits);
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Pair r3 = Pair(da) + Pair(cb) + Pair(cb) + Pair(da) + Pair(r2 >> HalfBits);
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return {(r3.lo & Mask) << HalfBits | (r2.lo & Mask), (r1.lo & Mask) << HalfBits | (r0.lo & Mask)};
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}
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//Bits * Bits => 2 * Bits
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inline auto square(const Pair& lhs, Pair& hi, Pair& lo) -> void {
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static const Type Mask = (Type(0) - 1) >> HalfBits;
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Type a = lhs.hi >> HalfBits, b = lhs.hi & Mask, c = lhs.lo >> HalfBits, d = lhs.lo & Mask;
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Type dd = square(d), dc = d * c, db = d * b, da = d * a;
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Type cc = square(c), cb = c * b, ca = c * a;
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Type bb = square(b), ba = b * a;
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Type aa = square(a);
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Pair r0 = Pair(dd);
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Pair r1 = Pair(dc) + Pair(dc) + Pair(r0 >> HalfBits);
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Pair r2 = Pair(db) + Pair(cc) + Pair(db) + Pair(r1 >> HalfBits);
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Pair r3 = Pair(da) + Pair(cb) + Pair(cb) + Pair(da) + Pair(r2 >> HalfBits);
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Pair r4 = Pair(ca) + Pair(bb) + Pair(ca) + Pair(r3 >> HalfBits);
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Pair r5 = Pair(ba) + Pair(ba) + Pair(r4 >> HalfBits);
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Pair r6 = Pair(aa) + Pair(r5 >> HalfBits);
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Pair r7 = Pair(r6 >> HalfBits);
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hi = {(r7.lo & Mask) << HalfBits | (r6.lo & Mask), (r5.lo & Mask) << HalfBits | (r4.lo & Mask)};
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lo = {(r3.lo & Mask) << HalfBits | (r2.lo & Mask), (r1.lo & Mask) << HalfBits | (r0.lo & Mask)};
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}
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//Bits * Bits => Bits
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alwaysinline auto mul(const Pair& lhs, const Pair& rhs) -> Pair {
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static const Type Mask = (Type(0) - 1) >> HalfBits;
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Type a = lhs.hi >> HalfBits, b = lhs.hi & Mask, c = lhs.lo >> HalfBits, d = lhs.lo & Mask;
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Type e = rhs.hi >> HalfBits, f = rhs.hi & Mask, g = rhs.lo >> HalfBits, h = rhs.lo & Mask;
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Pair r0 = Pair(d * h);
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Pair r1 = Pair(c * h) + Pair(d * g) + Pair(r0 >> HalfBits);
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Pair r2 = Pair(b * h) + Pair(c * g) + Pair(d * f) + Pair(r1 >> HalfBits);
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Pair r3 = Pair(a * h) + Pair(b * g) + Pair(c * f) + Pair(d * e) + Pair(r2 >> HalfBits);
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return {(r3.lo & Mask) << HalfBits | (r2.lo & Mask), (r1.lo & Mask) << HalfBits | (r0.lo & Mask)};
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}
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//Bits * Bits => 2 * Bits
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alwaysinline auto mul(const Pair& lhs, const Pair& rhs, Pair& hi, Pair& lo) -> void {
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static const Type Mask = (Type(0) - 1) >> HalfBits;
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Type a = lhs.hi >> HalfBits, b = lhs.hi & Mask, c = lhs.lo >> HalfBits, d = lhs.lo & Mask;
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Type e = rhs.hi >> HalfBits, f = rhs.hi & Mask, g = rhs.lo >> HalfBits, h = rhs.lo & Mask;
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Pair r0 = Pair(d * h);
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Pair r1 = Pair(c * h) + Pair(d * g) + Pair(r0 >> HalfBits);
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Pair r2 = Pair(b * h) + Pair(c * g) + Pair(d * f) + Pair(r1 >> HalfBits);
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Pair r3 = Pair(a * h) + Pair(b * g) + Pair(c * f) + Pair(d * e) + Pair(r2 >> HalfBits);
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Pair r4 = Pair(a * g) + Pair(b * f) + Pair(c * e) + Pair(r3 >> HalfBits);
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Pair r5 = Pair(a * f) + Pair(b * e) + Pair(r4 >> HalfBits);
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Pair r6 = Pair(a * e) + Pair(r5 >> HalfBits);
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Pair r7 = Pair(r6 >> HalfBits);
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hi = {(r7.lo & Mask) << HalfBits | (r6.lo & Mask), (r5.lo & Mask) << HalfBits | (r4.lo & Mask)};
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lo = {(r3.lo & Mask) << HalfBits | (r2.lo & Mask), (r1.lo & Mask) << HalfBits | (r0.lo & Mask)};
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}
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alwaysinline auto div(const Pair& lhs, const Pair& rhs, Pair& quotient, Pair& remainder) -> void {
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if(!rhs) throw std::runtime_error("division by zero");
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quotient = 0, remainder = lhs;
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if(!lhs || lhs < rhs) return;
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auto count = bits(lhs) - bits(rhs);
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Pair x = rhs << count;
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Pair y = Pair(1) << count;
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if(x > remainder) x >>= 1, y >>= 1;
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while(remainder >= rhs) {
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if(remainder >= x) remainder -= x, quotient |= y;
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x >>= 1, y >>= 1;
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}
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}
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template<typename T> alwaysinline auto shl(const Pair& lhs, const T& rhs) -> Pair {
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if(!rhs) return lhs;
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auto shift = (uint)rhs;
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if(shift < TypeBits) {
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return {lhs.hi << shift | lhs.lo >> (TypeBits - shift), lhs.lo << shift};
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} else {
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return {lhs.lo << (shift - TypeBits), 0};
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}
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}
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template<typename T> alwaysinline auto shr(const Pair& lhs, const T& rhs) -> Pair {
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if(!rhs) return lhs;
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auto shift = (uint)rhs;
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if(shift < TypeBits) {
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return {lhs.hi >> shift, lhs.hi << (TypeBits - shift) | lhs.lo >> shift};
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} else {
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return {0, lhs.hi >> (shift - TypeBits)};
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}
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}
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template<typename T> alwaysinline auto rol(const Pair& lhs, const T& rhs) -> Pair {
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return lhs << rhs | lhs >> (PairBits - rhs);
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}
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template<typename T> alwaysinline auto ror(const Pair& lhs, const T& rhs) -> Pair {
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return lhs >> rhs | lhs << (PairBits - rhs);
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}
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#define EI enable_if_t<is_integral<T>::value>
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template<typename T, EI> auto& operator*= (T& lhs, const Pair& rhs) { return lhs = lhs * T(rhs); }
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template<typename T, EI> auto& operator/= (T& lhs, const Pair& rhs) { return lhs = lhs / T(rhs); }
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template<typename T, EI> auto& operator%= (T& lhs, const Pair& rhs) { return lhs = lhs % T(rhs); }
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template<typename T, EI> auto& operator+= (T& lhs, const Pair& rhs) { return lhs = lhs + T(rhs); }
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template<typename T, EI> auto& operator-= (T& lhs, const Pair& rhs) { return lhs = lhs - T(rhs); }
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template<typename T, EI> auto& operator<<=(T& lhs, const Pair& rhs) { return lhs = lhs << T(rhs); }
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template<typename T, EI> auto& operator>>=(T& lhs, const Pair& rhs) { return lhs = lhs >> T(rhs); }
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template<typename T, EI> auto& operator&= (T& lhs, const Pair& rhs) { return lhs = lhs & T(rhs); }
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template<typename T, EI> auto& operator|= (T& lhs, const Pair& rhs) { return lhs = lhs | T(rhs); }
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template<typename T, EI> auto& operator^= (T& lhs, const Pair& rhs) { return lhs = lhs ^ T(rhs); }
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template<typename T, EI> auto operator* (const T& lhs, const Pair& rhs) { return Cast(lhs) * Cast(rhs); }
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template<typename T, EI> auto operator/ (const T& lhs, const Pair& rhs) { return Cast(lhs) / Cast(rhs); }
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template<typename T, EI> auto operator% (const T& lhs, const Pair& rhs) { return Cast(lhs) % Cast(rhs); }
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template<typename T, EI> auto operator+ (const T& lhs, const Pair& rhs) { return Cast(lhs) + Cast(rhs); }
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template<typename T, EI> auto operator- (const T& lhs, const Pair& rhs) { return Cast(lhs) - Cast(rhs); }
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template<typename T, EI> auto operator<<(const T& lhs, const Pair& rhs) { return Cast(lhs) << Cast(rhs); }
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template<typename T, EI> auto operator>>(const T& lhs, const Pair& rhs) { return Cast(lhs) >> Cast(rhs); }
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template<typename T, EI> auto operator& (const T& lhs, const Pair& rhs) { return Cast(lhs) & Cast(rhs); }
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template<typename T, EI> auto operator| (const T& lhs, const Pair& rhs) { return Cast(lhs) | Cast(rhs); }
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template<typename T, EI> auto operator^ (const T& lhs, const Pair& rhs) { return Cast(lhs) ^ Cast(rhs); }
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template<typename T, EI> auto operator==(const T& lhs, const Pair& rhs) { return Cast(lhs) == Cast(rhs); }
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template<typename T, EI> auto operator!=(const T& lhs, const Pair& rhs) { return Cast(lhs) != Cast(rhs); }
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template<typename T, EI> auto operator>=(const T& lhs, const Pair& rhs) { return Cast(lhs) >= Cast(rhs); }
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template<typename T, EI> auto operator<=(const T& lhs, const Pair& rhs) { return Cast(lhs) <= Cast(rhs); }
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template<typename T, EI> auto operator> (const T& lhs, const Pair& rhs) { return Cast(lhs) > Cast(rhs); }
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template<typename T, EI> auto operator< (const T& lhs, const Pair& rhs) { return Cast(lhs) < Cast(rhs); }
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#undef EI
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template<> struct stringify<Pair> {
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stringify(Pair source) {
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char _output[1 + sizeof(Pair) * 3];
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auto p = (char*)&_output;
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do {
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Pair quotient, remainder;
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div(source, 10, quotient, remainder);
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*p++ = remainder + '0';
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source = quotient;
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} while(source);
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_size = p - _output;
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*p = 0;
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for(int x = _size - 1, y = 0; x >= 0 && y < _size; x--, y++) _data[x] = _output[y];
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}
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auto data() const -> const char* { return _data; }
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auto size() const -> uint { return _size; }
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char _data[1 + sizeof(Pair) * 3];
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uint _size;
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};
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}
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#undef ConcatenateType
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#undef DeclareType
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#undef Pair
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#undef Type
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#undef Half
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#undef Cast
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