107 lines
2.4 KiB
Plaintext
107 lines
2.4 KiB
Plaintext
/*
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Copyright 2018 0KIMS association.
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This file is part of circom (Zero Knowledge Circuit Compiler).
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circom is a free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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circom is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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License for more details.
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You should have received a copy of the GNU General Public License
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along with circom. If not, see <https://www.gnu.org/licenses/>.
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*/
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include "bitify.circom";
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include "escalarmulfix.circom";
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template BabyAdd() {
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signal input x1;
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signal input y1;
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signal input x2;
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signal input y2;
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signal output xout;
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signal output yout;
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signal beta;
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signal gamma;
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signal delta;
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signal tau;
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var a = 168700;
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var d = 168696;
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beta <== x1*y2;
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gamma <== y1*x2;
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delta <== (-a*x1+y1)*(x2 + y2);
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tau <== beta * gamma;
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xout <-- (beta + gamma) / (1+ d*tau);
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(1+ d*tau) * xout === (beta + gamma);
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yout <-- (delta + a*beta - gamma) / (1-d*tau);
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(1-d*tau)*yout === (delta + a*beta - gamma);
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}
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template BabyDbl() {
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signal input x;
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signal input y;
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signal output xout;
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signal output yout;
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component adder = BabyAdd();
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adder.x1 <== x;
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adder.y1 <== y;
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adder.x2 <== x;
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adder.y2 <== y;
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adder.xout ==> xout;
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adder.yout ==> yout;
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}
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template BabyCheck() {
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signal input x;
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signal input y;
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signal x2;
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signal y2;
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var a = 168700;
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var d = 168696;
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x2 <== x*x;
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y2 <== y*y;
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a*x2 + y2 === 1 + d*x2*y2;
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}
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// Extracts the public key from private key
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template BabyPbk() {
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signal private input in;
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signal output Ax;
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signal output Ay;
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var BASE8 = [
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17777552123799933955779906779655732241715742912184938656739573121738514868268,
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2626589144620713026669568689430873010625803728049924121243784502389097019475
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];
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component pvkBits = Num2Bits(253);
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pvkBits.in <== in;
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component mulFix = EscalarMulFix(253, BASE8);
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var i;
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for (i=0; i<253; i++) {
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mulFix.e[i] <== pvkBits.out[i];
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}
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Ax <== mulFix.out[0];
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Ay <== mulFix.out[1];
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}
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