circomlib/circuit/babyjub.circom
2018-11-27 16:03:57 +01:00

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template BabyAdd() {
signal input x1;
signal input y1;
signal input x2;
signal input y2;
signal output xout;
signal output yout;
signal beta;
signal gamma;
signal delta;
signal epsilon;
signal tau;
var a = 168700;
var d = 168696;
beta <== x1*y2;
gamma <== y1*x2;
delta <== y1*y2;
epsilon <== x1*x2;
tau <== delta * epsilon;
xout <-- (beta + gamma) / (1+ d*tau);
(1+ d*tau) * xout === (beta + gamma);
yout <-- (delta - a * epsilon) / (1-d*tau);
(1-d*tau)*yout === (delta - a * epsilon);
}
template BabyDbl() {
signal input x;
signal input y;
signal output xout;
signal output yout;
component adder = BabyAdd();
adder.x1 <== x;
adder.y1 <== y;
adder.x2 <== x;
adder.y2 <== y;
adder.xout ==> xout;
adder.yout ==> yout;
}
template BabyCheck() {
signal input x;
signal input y;
signal x2;
signal y2;
var a = 168700;
var d = 168696;
x2 <== x*x;
y2 <== y*y;
a*x2 + y2 === 1 + d*x2*y2;
}