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-rw-r--r--src/math/numbertheory/point_gfp.cpp46
-rw-r--r--src/math/numbertheory/point_gfp.h8
2 files changed, 44 insertions, 10 deletions
diff --git a/src/math/numbertheory/point_gfp.cpp b/src/math/numbertheory/point_gfp.cpp
index 7df12a53c..d4c68d1dc 100644
--- a/src/math/numbertheory/point_gfp.cpp
+++ b/src/math/numbertheory/point_gfp.cpp
@@ -58,6 +58,33 @@ BigInt PointGFp::monty_mult(const BigInt& a, const BigInt& b,
return result;
}
+BigInt PointGFp::monty_sqr(const BigInt& x,
+ MemoryRegion<word>& workspace)
+ {
+ //return monty_mult(x, x, workspace);
+
+ if(x.is_zero())
+ return 0;
+
+ const BigInt& p = curve.get_p();
+ const u32bit p_size = (workspace.size() - 1) / 2;
+
+ const word p_dash = curve.get_p_dash();
+
+ workspace.clear();
+
+ bigint_simple_sqr(workspace, x.data(), x.sig_words());
+
+ bigint_monty_redc(workspace, workspace.size(),
+ p.data(), p_size, p_dash);
+
+ BigInt result;
+ result.grow_to(p_size);
+ copy_mem(result.get_reg().begin(), &workspace[p_size], p_size);
+
+ return result;
+ }
+
void PointGFp::add(const PointGFp& rhs,
Workspace& workspace)
{
@@ -91,11 +118,11 @@ void PointGFp::add(const PointGFp& rhs,
BigInt& y = ws_bn[9];
BigInt& z = ws_bn[10];
- rhs_z2 = monty_mult(rhs.coord_z, rhs.coord_z, ws);
+ rhs_z2 = monty_sqr(rhs.coord_z, ws);
U1 = monty_mult(coord_x, rhs_z2, ws);
S1 = monty_mult(coord_y, monty_mult(rhs.coord_z, rhs_z2, ws), ws);
- lhs_z2 = monty_mult(coord_z, coord_z, ws);
+ lhs_z2 = monty_sqr(coord_z, ws);
U2 = monty_mult(rhs.coord_x, lhs_z2, ws);
S2 = monty_mult(rhs.coord_y, monty_mult(coord_z, lhs_z2, ws), ws);
@@ -115,13 +142,13 @@ void PointGFp::add(const PointGFp& rhs,
return;
}
- U2 = monty_mult(H, H, ws);
+ U2 = monty_sqr(H, ws);
S2 = monty_mult(U2, H, ws);
U2 = monty_mult(U1, U2, ws);
- x = mod_p.reduce(monty_mult(r, r, ws) - S2 - U2*2);
+ x = mod_p.reduce(monty_sqr(r, ws) - S2 - U2*2);
U2 -= x;
if(U2.is_negative())
@@ -246,20 +273,19 @@ void PointGFp::mult2(Workspace& workspace)
BigInt& y = ws_bn[7];
BigInt& z = ws_bn[8];
- y_2 = monty_mult(coord_y, coord_y, ws);
+ y_2 = monty_sqr(coord_y, ws);
S = mod_p.reduce(4 * monty_mult(coord_x, y_2, ws));
- z4 = monty_mult(coord_z, coord_z, ws);
- z4 = monty_mult(z4, z4, ws);
+ z4 = monty_sqr(monty_sqr(coord_z, ws), ws);
a_z4 = monty_mult(curve.get_a_r(), z4, ws);
- M = mod_p.reduce(a_z4 + 3 * monty_mult(coord_x, coord_x, ws));
+ M = mod_p.reduce(a_z4 + 3 * monty_sqr(coord_x, ws));
- x = mod_p.reduce(monty_mult(M, M, ws) - 2*S);
+ x = mod_p.reduce(monty_sqr(M, ws) - 2*S);
- U = mod_p.reduce(monty_mult(y_2, y_2, ws) << 3);
+ U = mod_p.reduce(monty_sqr(y_2, ws) << 3);
S -= x;
while(S.is_negative())
diff --git a/src/math/numbertheory/point_gfp.h b/src/math/numbertheory/point_gfp.h
index 4ed8df160..e4cf6f7d5 100644
--- a/src/math/numbertheory/point_gfp.h
+++ b/src/math/numbertheory/point_gfp.h
@@ -161,6 +161,14 @@ class BOTAN_DLL PointGFp
MemoryRegion<word>& workspace);
/**
+ * Montgomery squaring/reduction
+ * @param x multiplicand
+ * @param workspace temp space
+ */
+ BigInt monty_sqr(const BigInt& x,
+ MemoryRegion<word>& workspace);
+
+ /**
* Point addition
*/
void add(const PointGFp& other, Workspace& workspace);