const bn128 = require("snarkjs").bn128; const bigInt = require("snarkjs").bigInt; const createBlakeHash = require("blake-hash"); const babyJub = require("../src/babyjub"); function getPoint(S) { const F = bn128.Fr; const h = createBlakeHash("blake256").update(S).digest(); if (h.length != 32) { throw new Error("Invalid length") } let sign = false; if (h[31] & 0x80) { h[31] = h[31] & 0x7F; sign = true; } let y = bigInt(0); for (let i=0; i<32; i++) { y = y.shl(8); y = y.add(bigInt(h[i])); } const a = bigInt("168700"); const d = bigInt("168696"); const y2 = F.square(y); let x = F.sqrt(F.div( F.sub(F.one, y2), F.sub(a, F.mul(d, y2)))); if (x == null) return null; if (sign) x = F.neg(x); const p = [bn128.Fr.affine(x), bn128.Fr.affine(y)]; const p8 = babyJub.mulPointEscalar(p, 8); return p8; } function generatePoint(S) { let p= null; let idx = 0; while (p==null) { let sidx = "" + idx; while (sidx.length<16) sidx = "0"+sidx; p = getPoint(S+"_"+sidx); idx++; } if (!babyJub.inCurve(p)){ throw new Error("Point not in curve"); } return p; } const g = [ bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"), bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")]; // Sanity check if (!babyJub.inCurve(g)) { throw new Error("Generator not In curve -> Some thing goes wrong..."); } for (let i=0; i<25; i++) { let S = "" +i; while (S.length<16) S = "0"+S; const P = generatePoint("Iden3_PedersenGenerator_"+S); console.log(`[${P[0].toString()}, ${P[1].toString()}]`); }