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| def secp256k1(z): | |
| z = str(bin(z))[2:] | |
| l = len(z) | |
| p = 115792089237316195423570985008687907853269984665640564039457584007908834671663 | |
| x = Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240 | |
| y = Gy = 32670510020758816978083085130507043184471273380659243275938904335757337482424 | |
| for i in range(1, l): | |
| lm, hm = 1, 0 | |
| lw, hi = 2*y % p, p | |
| while lw > 1: | |
| r = hi//lw | |
| nm, nw = hm-lm*r, hi-lw*r | |
| lm, lw, hm, hi = nm, nw, lm, lw | |
| R = lm % p | |
| o = 3*x*x*R % p | |
| u = o*o-2*x | |
| y = (o*(x-u % p)-y) % p | |
| x = u % p | |
| if z[i] == "1": | |
| lm, hm = 1, 0 | |
| lw, hi = (Gx - x) % p, p | |
| while lw > 1: | |
| r = hi//lw | |
| nm, nw = hm-lm*r, hi-lw*r | |
| lm, lw, hm, hi = nm, nw, lm, lw | |
| R = lm % p | |
| o = (Gy-y)*R % p | |
| u = o*o-x-Gx | |
| y = (o*(x-u % p)-y) % p | |
| x = u % p | |
| return (x,y) | |
| print(secp256k1(32592575621351777380295131014550050576823494298654980010178247371840571660671)) | |
| #OUTPUT: (94203404061421058009312340410868627152452458145746879189182041812498811783078, 42201476396565815024119219966581192970316115428508342197075279408811375234858) |
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