Explicitly taking into account a + (-a) for add_assign
#780
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At the moment, in the
add_assign
function forProjective
structure, in case of a + (-a) operation, all coefficients are calculated as in the case of a classic addition a + b with a and b different (Cost: 11M + 5S + 9add + 4*2).However, this scenario can be simplified, by taking it into account explicitly in the logic to avoid doing all the unnecessary calculations.
Indeed, we know that if
u1 == u2 && s1 != s2
then it is a + (-a) and therefore we can return the point at infinity directly (zero) without any further calculation necessary.