circomlib/circuit/escalarmulw4table.circom
2018-11-11 19:52:07 +01:00

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function pointAdd(x1,y1,x2,y2) {
var a = 168700;
var d = 168696;
var res[2];
res[0] = (x1*y2 + y1*x2) / (1 + d*x1*x2*y1*y2);
res[1] = (y1*y2 - a*x1*x2) / (1 - d*x1*x2*y1*y2);
return res;
}
template EscalarMulW4Table(base, k) {
signal output out[16][2];
var i;
var p[2];
var dbl = base;
for (i=0; i<k*4; i++) {
dbl = pointAdd(dbl[0], dbl[1], dbl[0], dbl[1]);
}
out[0][0] <== 0;
out[0][1] <== 1;
for (i=1; i<16; i++) {
p = pointAdd(out[i-1][0], out[i-1][1], dbl[0], dbl[1]);
out[i][0] <== p[0];
out[i][1] <== p[1];
}
}