diff options
Diffstat (limited to 'src/math')
-rw-r--r-- | src/math/ec_gfp/point_gfp.cpp | 24 | ||||
-rw-r--r-- | src/math/mp/mp_core.h | 19 | ||||
-rw-r--r-- | src/math/mp/mp_monty.cpp | 33 | ||||
-rw-r--r-- | src/math/numbertheory/powm_mnt.cpp | 44 |
4 files changed, 77 insertions, 43 deletions
diff --git a/src/math/ec_gfp/point_gfp.cpp b/src/math/ec_gfp/point_gfp.cpp index a6b35b18d..7ac6b4141 100644 --- a/src/math/ec_gfp/point_gfp.cpp +++ b/src/math/ec_gfp/point_gfp.cpp @@ -49,14 +49,11 @@ void PointGFp::monty_mult(BigInt& z, const BigInt& x, const BigInt& y) const z_reg.resize(2*p_size+1); zeroise(z_reg); - bigint_mul(&z_reg[0], z_reg.size(), - &ws[0], - x.data(), x.size(), x.sig_words(), - y.data(), y.size(), y.sig_words()); - - bigint_monty_redc(&z[0], z.size(), - &ws[0], - p.data(), p_size, p_dash); + bigint_monty_mul(&z_reg[0], z_reg.size(), + x.data(), x.size(), x.sig_words(), + y.data(), y.size(), y.sig_words(), + p.data(), p_size, p_dash, + &ws[0]); } // Montgomery squaring @@ -78,13 +75,10 @@ void PointGFp::monty_sqr(BigInt& z, const BigInt& x) const z_reg.resize(2*p_size+1); zeroise(z_reg); - bigint_sqr(&z[0], z.size(), - &ws[0], - x.data(), x.size(), x.sig_words()); - - bigint_monty_redc(&z[0], z.size(), - &ws[0], - p.data(), p_size, p_dash); + bigint_monty_sqr(&z_reg[0], z_reg.size(), + x.data(), x.size(), x.sig_words(), + p.data(), p_size, p_dash, + &ws[0]); } // Point addition diff --git a/src/math/mp/mp_core.h b/src/math/mp/mp_core.h index e1692006e..96f43d713 100644 --- a/src/math/mp/mp_core.h +++ b/src/math/mp/mp_core.h @@ -77,7 +77,7 @@ void bigint_simple_sqr(word z[], const word x[], size_t x_size); void bigint_linmul2(word x[], size_t x_size, word y); void bigint_linmul3(word z[], const word x[], size_t x_size, word y); -/* +/** * Montgomery Reduction * @param z integer to reduce (also output in first x_size+1 words) * @param z_size size of z (should be >= 2*x_size+1) @@ -92,6 +92,23 @@ void bigint_monty_redc(word z[], size_t z_size, word u); /* +* Montgomery Multiplication +*/ +void bigint_monty_mul(word z[], size_t z_size, + const word x[], size_t x_size, size_t x_sw, + const word y[], size_t y_size, size_t y_sw, + const word p[], size_t p_size, word p_dash, + word workspace[]); + +/* +* Montgomery Squaring +*/ +void bigint_monty_sqr(word z[], size_t z_size, + const word x[], size_t x_size, size_t x_sw, + const word p[], size_t p_size, word p_dash, + word workspace[]); + +/* * Division operation */ size_t bigint_divcore(word q, word y2, word y1, diff --git a/src/math/mp/mp_monty.cpp b/src/math/mp/mp_monty.cpp index d7f7e0306..cdb31f951 100644 --- a/src/math/mp/mp_monty.cpp +++ b/src/math/mp/mp_monty.cpp @@ -31,10 +31,10 @@ void bigint_monty_redc(word z[], size_t z_size, const word y = z_i[0] * u; - /* +#if 1 bigint_linmul3(ws, x, x_size, y); bigint_add2(z_i, z_size - i, ws, x_size+1); - */ +#else word carry = 0; for(size_t j = 0; j != blocks_of_8; j += 8) @@ -53,6 +53,7 @@ void bigint_monty_redc(word z[], size_t z_size, ++z_i[j]; carry = !z_i[j]; } +#endif } word borrow = 0; @@ -67,6 +68,34 @@ void bigint_monty_redc(word z[], size_t z_size, clear_mem(z + x_size + 1, z_size - x_size - 1); } +void bigint_monty_mul(word z[], size_t z_size, + const word x[], size_t x_size, size_t x_sw, + const word y[], size_t y_size, size_t y_sw, + const word p[], size_t p_size, word p_dash, + word workspace[]) + { + bigint_mul(&z[0], z_size, &workspace[0], + &x[0], x_size, x_sw, + &y[0], y_size, y_sw); + + bigint_monty_redc(&z[0], z_size, + &workspace[0], + &p[0], p_size, p_dash); + + } + +void bigint_monty_sqr(word z[], size_t z_size, + const word x[], size_t x_size, size_t x_sw, + const word p[], size_t p_size, word p_dash, + word workspace[]) + { + bigint_sqr(&z[0], z_size, &workspace[0], + &x[0], x_size, x_sw); + + bigint_monty_redc(&z[0], z_size, &workspace[0], + &p[0], p_size, p_dash); + } + } } diff --git a/src/math/numbertheory/powm_mnt.cpp b/src/math/numbertheory/powm_mnt.cpp index 421470364..0f674ba03 100644 --- a/src/math/numbertheory/powm_mnt.cpp +++ b/src/math/numbertheory/powm_mnt.cpp @@ -33,13 +33,12 @@ void Montgomery_Exponentiator::set_base(const BigInt& base) SecureVector<word> workspace(z.size()); g[0] = (base >= modulus) ? (base % modulus) : base; - bigint_mul(&z[0], z.size(), &workspace[0], - g[0].data(), g[0].size(), g[0].sig_words(), - R2.data(), R2.size(), R2.sig_words()); - bigint_monty_redc(&z[0], z.size(), - &workspace[0], - modulus.data(), mod_words, mod_prime); + bigint_monty_mul(&z[0], z.size(), + g[0].data(), g[0].size(), g[0].sig_words(), + R2.data(), R2.size(), R2.sig_words(), + modulus.data(), mod_words, mod_prime, + &workspace[0]); g[0].assign(&z[0], mod_words + 1); @@ -52,13 +51,11 @@ void Montgomery_Exponentiator::set_base(const BigInt& base) const size_t y_sig = y.sig_words(); zeroise(z); - bigint_mul(&z[0], z.size(), &workspace[0], - x.data(), x.size(), x_sig, - y.data(), y.size(), y_sig); - - bigint_monty_redc(&z[0], z.size(), - &workspace[0], - modulus.data(), mod_words, mod_prime); + bigint_monty_mul(&z[0], z.size(), + x.data(), x.size(), x_sig, + y.data(), y.size(), y_sig, + modulus.data(), mod_words, mod_prime, + &workspace[0]); g[i].assign(&z[0], mod_words + 1); } @@ -80,12 +77,11 @@ BigInt Montgomery_Exponentiator::execute() const for(size_t k = 0; k != window_bits; ++k) { zeroise(z); - bigint_sqr(&z[0], z.size(), &workspace[0], - x.data(), x.size(), x.sig_words()); - bigint_monty_redc(&z[0], z.size(), - &workspace[0], - modulus.data(), mod_words, mod_prime); + bigint_monty_sqr(&z[0], z.size(), + x.data(), x.size(), x.sig_words(), + modulus.data(), mod_words, mod_prime, + &workspace[0]); x.assign(&z[0], mod_words + 1); } @@ -95,13 +91,11 @@ BigInt Montgomery_Exponentiator::execute() const const BigInt& y = g[nibble-1]; zeroise(z); - bigint_mul(&z[0], z.size(), &workspace[0], - x.data(), x.size(), x.sig_words(), - y.data(), y.size(), y.sig_words()); - - bigint_monty_redc(&z[0], z.size(), - &workspace[0], - modulus.data(), mod_words, mod_prime); + bigint_monty_mul(&z[0], z.size(), + x.data(), x.size(), x.sig_words(), + y.data(), y.size(), y.sig_words(), + modulus.data(), mod_words, mod_prime, + &workspace[0]); x.assign(&z[0], mod_words + 1); } |