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path: root/src/math/numbertheory/point_gfp.cpp
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-rw-r--r--src/math/numbertheory/point_gfp.cpp71
1 files changed, 41 insertions, 30 deletions
diff --git a/src/math/numbertheory/point_gfp.cpp b/src/math/numbertheory/point_gfp.cpp
index ed9c0acc8..f7433a1cc 100644
--- a/src/math/numbertheory/point_gfp.cpp
+++ b/src/math/numbertheory/point_gfp.cpp
@@ -33,7 +33,8 @@ PointGFp::PointGFp(const CurveGFp& curve, const BigInt& x, const BigInt& y) :
coord_z = curve.get_r();
}
-BigInt PointGFp::monty_mult(const BigInt& a, const BigInt& b)
+BigInt PointGFp::monty_mult(const BigInt& a, const BigInt& b,
+ MemoryRegion<word>& workspace)
{
if(a.is_zero() || b.is_zero())
return 0;
@@ -43,12 +44,13 @@ BigInt PointGFp::monty_mult(const BigInt& a, const BigInt& b)
const word p_dash = curve.get_p_dash();
- SecureVector<word> t;
- t.grow_to(2*p_size+1);
+ workspace.clear();
if(a > 0 && b > 0 && a < p && b < p)
{
- bigint_simple_mul(t, a.data(), a.sig_words(), b.data(), b.sig_words());
+ bigint_simple_mul(workspace,
+ a.data(), a.sig_words(),
+ b.data(), b.sig_words());
}
else
{
@@ -57,17 +59,22 @@ BigInt PointGFp::monty_mult(const BigInt& a, const BigInt& b)
BigInt a2 = mod_p.reduce(a);
BigInt b2 = mod_p.reduce(b);
- bigint_simple_mul(t, a2.data(), a2.sig_words(), b2.data(), b2.sig_words());
+ bigint_simple_mul(workspace,
+ a2.data(), a2.sig_words(),
+ b2.data(), b2.sig_words());
}
+ bigint_monty_redc(workspace, workspace.size(),
+ p.data(), p_size, p_dash);
+
BigInt result;
- std::swap(result.get_reg(), t);
- bigint_monty_redc(result.get_reg(), result.size(), p.data(), p_size, p_dash);
- result >>= p_size*BOTAN_MP_WORD_BITS;
+ result.grow_to(p_size);
+ copy_mem(result.get_reg().begin(), &workspace[p_size], p_size);
return result;
}
+
// arithmetic operators
PointGFp& PointGFp::operator+=(const PointGFp& rhs)
{
@@ -82,13 +89,15 @@ PointGFp& PointGFp::operator+=(const PointGFp& rhs)
const Modular_Reducer& mod_p = curve.mod_p();
- BigInt rhs_z2 = monty_mult(rhs.coord_z, rhs.coord_z);
- BigInt U1 = monty_mult(coord_x, rhs_z2);
- BigInt S1 = monty_mult(coord_y, monty_mult(rhs.coord_z, rhs_z2));
+ SecureVector<word> ws(2 * curve.get_p().sig_words() + 1);
- BigInt lhs_z2 = monty_mult(coord_z, coord_z);
- BigInt U2 = monty_mult(rhs.coord_x, lhs_z2);
- BigInt S2 = monty_mult(rhs.coord_y, monty_mult(coord_z, lhs_z2));
+ BigInt rhs_z2 = monty_mult(rhs.coord_z, rhs.coord_z, ws);
+ BigInt U1 = monty_mult(coord_x, rhs_z2, ws);
+ BigInt S1 = monty_mult(coord_y, monty_mult(rhs.coord_z, rhs_z2, ws), ws);
+
+ BigInt lhs_z2 = monty_mult(coord_z, coord_z, ws);
+ BigInt U2 = monty_mult(rhs.coord_x, lhs_z2, ws);
+ BigInt S2 = monty_mult(rhs.coord_y, monty_mult(coord_z, lhs_z2, ws), ws);
BigInt H = mod_p.reduce(U2 - U1);
@@ -106,23 +115,23 @@ PointGFp& PointGFp::operator+=(const PointGFp& rhs)
return *this;
}
- U2 = monty_mult(H, H);
+ U2 = monty_mult(H, H, ws);
- S2 = monty_mult(U2, H);
+ S2 = monty_mult(U2, H, ws);
- U2 = monty_mult(U1, U2);
+ U2 = monty_mult(U1, U2, ws);
- BigInt x = mod_p.reduce(monty_mult(r, r) - S2 - U2*2);
+ BigInt x = mod_p.reduce(monty_mult(r, r, ws) - S2 - U2*2);
U2 -= x;
if(U2.is_negative())
U2 += curve.get_p();
- BigInt y = monty_mult(r, U2) - monty_mult(S1, S2);
+ BigInt y = monty_mult(r, U2, ws) - monty_mult(S1, S2, ws);
if(y.is_negative())
y += curve.get_p();
- BigInt z = monty_mult(monty_mult(coord_z, rhs.coord_z), H);
+ BigInt z = monty_mult(monty_mult(coord_z, rhs.coord_z, ws), H, ws);
coord_x = x;
coord_y = y;
@@ -216,27 +225,29 @@ void PointGFp::mult2()
const Modular_Reducer& mod_p = curve.mod_p();
- BigInt y_2 = monty_mult(coord_y, coord_y);
+ SecureVector<word> ws(2 * curve.get_p().sig_words() + 1);
+
+ BigInt y_2 = monty_mult(coord_y, coord_y, ws);
- BigInt S = mod_p.reduce(4 * monty_mult(coord_x, y_2));
+ BigInt S = mod_p.reduce(4 * monty_mult(coord_x, y_2, ws));
- BigInt z4 = monty_mult(coord_z, coord_z);
- z4 = monty_mult(z4, z4);
+ BigInt z4 = monty_mult(coord_z, coord_z, ws);
+ z4 = monty_mult(z4, z4, ws);
- BigInt a_z4 = monty_mult(curve.get_a_r(), z4);
+ BigInt a_z4 = monty_mult(curve.get_a_r(), z4, ws);
- BigInt M = mod_p.reduce(a_z4 + 3 * monty_mult(coord_x, coord_x));
+ BigInt M = mod_p.reduce(a_z4 + 3 * monty_mult(coord_x, coord_x, ws));
- BigInt x = mod_p.reduce(monty_mult(M, M) - 2*S);
+ BigInt x = mod_p.reduce(monty_mult(M, M, ws) - 2*S);
- BigInt U = mod_p.reduce(monty_mult(y_2, y_2) << 3);
+ BigInt U = mod_p.reduce(monty_mult(y_2, y_2, ws) << 3);
- BigInt y = monty_mult(M, S - x) - U;
+ BigInt y = monty_mult(M, S - x, ws) - U;
if(y.is_negative())
y += curve.get_p();
- BigInt z = 2 * monty_mult(coord_y, coord_z);
+ BigInt z = 2 * monty_mult(coord_y, coord_z, ws);
if(z >= curve.get_p())
z -= curve.get_p();