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@@ -1241,6 +1241,7 @@ static void point_add(felem x3, felem y3, felem z3,
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longfelem tmp, tmp2;
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smallfelem small1, small2, small3, small4, small5;
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limb x_equal, y_equal, z1_is_zero, z2_is_zero;
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limb points_equal;
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felem_shrink(small3, z1);
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@@ -1340,7 +1341,26 @@ static void point_add(felem x3, felem y3, felem z3,
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felem_shrink(small1, ftmp5);
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y_equal = smallfelem_is_zero(small1);
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if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) {
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/*
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* The formulae are incorrect if the points are equal, in affine coordinates
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* (X_1, Y_1) == (X_2, Y_2), so we check for this and do doubling if this
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* happens.
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*
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* We use bitwise operations to avoid potential side-channels introduced by
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* the short-circuiting behaviour of boolean operators.
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*
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* The special case of either point being the point at infinity (z1 and/or
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* z2 are zero), is handled separately later on in this function, so we
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* avoid jumping to point_double here in those special cases.
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*/
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points_equal = (x_equal & y_equal & (~z1_is_zero) & (~z2_is_zero));
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if (points_equal) {
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/*
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* This is obviously not constant-time but, as mentioned before, this
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* case never happens during single point multiplication, so there is no
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* timing leak for ECDH or ECDSA signing.
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*/
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point_double(x3, y3, z3, x1, y1, z1);
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return;
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}
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