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-rw-r--r--src/math/ec_gfp/point_gfp.cpp24
-rw-r--r--src/math/mp/mp_core.h19
-rw-r--r--src/math/mp/mp_monty.cpp33
-rw-r--r--src/math/numbertheory/powm_mnt.cpp44
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);
}