non-pow2 septic elliptic curve points add IOP #1081
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hero78119
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Oct 9, 2025
| .collect(), | ||
| ); | ||
| // affine addition | ||
| // zerocheck: 0 = s[0,b] * (x[b,0] - x[b,1]) - (y[b,0] - y[b,1]) with b != (1,...,1) |
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[p1, p2, p3, p4, p5, o, o, o | p12, p34, p5, o]
sel_add: [1, 1, 1, ... ,0 ,0, 1, 1, 1, 0, 0 ,0 ,.. ..... 0, 0]
sel_bypass: [0, 0, 0, 0, 1, 1, ,... 0] => \sum_{s} eq(r ,s) - product_{i}(ri*si) - sel_add_eval(r, s) -
sel_last_onehot: [0, 0, 0, 0, ..., 1]
out = [r0, r1, r2, r3, ....]
round 0: (1-r0) * eq_less_than + r0 * [1, 0]
...
round i: (1-ri) * eq_less_than + ri * eval_so_far
...
round last: (1-r_last) * eq_less_than + r_last * eval_so_far
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