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@ -152,6 +152,8 @@ struct Op { |
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mpz_class mp; |
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mcl::SquareRoot sq; |
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Unit p[maxUnitN]; |
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Unit one[maxUnitN]; // 1
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Unit RR[maxUnitN]; // (R * R) % p
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size_t N; |
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size_t bitLen; |
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// independent from p
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@ -165,8 +167,7 @@ struct Op { |
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void3op sub; |
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void3op mul; |
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// for Montgomery
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void2op toMont; |
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void2op fromMont; |
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bool useMont; |
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// require p
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void3op negG; |
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void2opOp invG; |
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@ -179,7 +180,7 @@ struct Op { |
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: p(), N(0), bitLen(0) |
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, isZero(0), clear(0), copy(0) |
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, neg(0), inv(0), add(0), sub(0), mul(0) |
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, toMont(0), fromMont(0) |
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, useMont(false)//, toMont(0), fromMont(0)
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, negG(0), invG(0), addG(0), subG(0), mulPreG(0), modG(0) |
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, fg(createFpGenerator()) |
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{ |
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@ -188,6 +189,14 @@ struct Op { |
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{ |
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destroyFpGenerator(fg); |
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} |
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void fromMont(Unit* y, const Unit *x) const |
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{ |
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mul(y, x, one); |
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} |
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void toMont(Unit* y, const Unit *x) const |
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{ |
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mul(y, x, RR); |
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} |
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}; |
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@ -197,42 +206,28 @@ struct MontFp { |
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typedef fp::Unit Unit; |
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static const size_t N = (bitN + sizeof(Unit) * 8 - 1) / (sizeof(Unit) * 8); |
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static const size_t invTblN = N * sizeof(Unit) * 8 * 2; |
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static mpz_class mp_; |
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static Unit p_[N]; |
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static Unit one_[N]; |
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static Unit RR_[N]; // (R * R) % p
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static Unit invTbl_[invTblN][N]; |
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static FpGenerator fg_; |
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static void3op add_; |
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static void3op mul_; |
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static inline void fromRawGmp(Unit *y, size_t n, const mpz_class& x) |
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{ |
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local::toArray(y, n, x.get_mpz_t()); |
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} |
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static void initInvTbl(Unit invTbl[invTblN][N]) |
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static void initInvTbl(Unit invTbl[invTblN][N], const Op& op) |
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{ |
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Unit t[N]; |
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clear(t); |
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memset(t, 0, sizeof(t)); |
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t[0] = 2; |
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toMont(t, t); |
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op.toMont(t, t); |
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for (int i = 0; i < invTblN; i++) { |
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copy(invTbl[invTblN - 1 - i], t); |
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add_(t, t, t); |
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op.copy(invTbl[invTblN - 1 - i], t); |
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op.add(t, t, t); |
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} |
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} |
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static inline void clear(Unit *x) |
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{ |
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local::clearArray(x, 0, N); |
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} |
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static inline void copy(Unit *y, const Unit *x) |
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{ |
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local::copyArray(y, x, N); |
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} |
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static inline bool isZero(const Unit *x) |
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{ |
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return local::isZeroArray(x, N); |
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} |
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static inline void invC(Unit *y, const Unit *x, const Op& op) |
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{ |
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const int2op preInv = Xbyak::CastTo<int2op>(op.fg->preInv_); |
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@ -245,58 +240,28 @@ struct MontFp { |
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*/ |
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op.mul(y, r, invTbl_[k]); |
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} |
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static inline void toMont(Unit *y, const Unit *x) |
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{ |
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mul_(y, x, RR_); |
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} |
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static inline void fromMont(Unit *y, const Unit *x) |
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{ |
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mul_(y, x, one_); |
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} |
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static inline void init(Op& op, const Unit *p) |
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{ |
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copy(p_, p); |
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Gmp::setRaw(mp_, p, N); |
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mpz_class t = 1; |
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fromRawGmp(one_, N, t); |
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t = (t << (N * 64)) % mp_; |
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t = (t * t) % mp_; |
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fromRawGmp(RR_, N, t); |
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fg_.init(p_, N); |
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fromRawGmp(op.one, N, t); |
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t = (t << (N * 64)) % op.mp; |
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t = (t * t) % op.mp; |
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fromRawGmp(op.RR, N, t); |
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fg_.init(p, N); |
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add_ = Xbyak::CastTo<void3op>(fg_.add_); |
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mul_ = Xbyak::CastTo<void3op>(fg_.mul_); |
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op.N = N; |
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op.isZero = &isZero; |
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op.clear = &clear; |
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op.neg = Xbyak::CastTo<void2op>(fg_.neg_); |
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op.invG = &invC; |
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// {
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// void2op square = Xbyak::CastTo<void2op>(fg_.sqr_);
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// if (square) op.square = square;
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// }
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op.copy = © |
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op.add = add_; |
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op.add = Xbyak::CastTo<void3op>(fg_.add_); |
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op.sub = Xbyak::CastTo<void3op>(fg_.sub_); |
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op.mul = mul_; |
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op.mp = mp_; |
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copy(op.p, p_); |
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op.toMont = &toMont; |
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op.fromMont = &fromMont; |
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op.mul = Xbyak::CastTo<void3op>(fg_.mul_); |
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op.useMont = true; |
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initInvTbl(invTbl_); |
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initInvTbl(invTbl_, op); |
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op.fg = &fg_; |
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} |
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}; |
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template<class tag, size_t bitN> mpz_class MontFp<tag, bitN>::mp_; |
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template<class tag, size_t bitN> fp::Unit MontFp<tag, bitN>::p_[MontFp<tag, bitN>::N]; |
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template<class tag, size_t bitN> fp::Unit MontFp<tag, bitN>::one_[MontFp<tag, bitN>::N]; |
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template<class tag, size_t bitN> fp::Unit MontFp<tag, bitN>::RR_[MontFp<tag, bitN>::N]; |
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template<class tag, size_t bitN> fp::Unit MontFp<tag, bitN>::invTbl_[MontFp<tag, bitN>::invTblN][MontFp<tag, bitN>::N]; |
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template<class tag, size_t bitN> FpGenerator MontFp<tag, bitN>::fg_; |
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template<class tag, size_t bitN> void3op MontFp<tag, bitN>::add_; |
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template<class tag, size_t bitN> void3op MontFp<tag, bitN>::mul_; |
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#endif |
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} } // mcl::fp
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