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/*
Copyright 2018 0kims association
This file is part of zksnark javascript library.
zksnark javascript library is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
zksnark javascript library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with zksnark javascript library. If not, see <https://www.gnu.org/licenses/>.
*/
const fUtils = require("./futils.js");
class RatField {
constructor(F) {
this.F = F;
this.zero = [F.zero, F.one];
this.one = [F.one, F.one];
this.two = [F.two, F.one];
this.twoinv = [F.one, F.two];
this.q = F.q;
}
add(a,b) {
return [
this.F.add(
this.F.mul(a[0], b[1]),
this.F.mul(a[1], b[0])),
this.F.mul(a[1], b[1])];
}
double(a) {
return [this.F.add(a[0], a[0]), a[1]];
}
sub(a,b) {
return [
this.F.sub(
this.F.mul(a[0], b[1]),
this.F.mul(a[1], b[0])),
this.F.mul(a[1], b[1])];
}
neg(a) {
return [this.F.neg(a[0]), a[1]];
}
mul(a,b) {
return [
this.F.mul(a[0], b[0]),
this.F.mul(a[1], b[1]),
];
}
copy(a) {
return [a[0], a[1]];
}
div(a, b) {
return [
this.F.mul(a[0], b[1]),
this.F.mul(a[1], b[0]),
];
}
inverse(a) {
return [a[1], a[0]];
}
square(a) {
return [
this.F.square(a[0]),
this.F.square(a[1])
];
}
mulScalar(base, e) {
return [this.F.mulScalar(base[0], e) , base[1]];
}
exp(base, e) {
return fUtils.exp(this, base, e);
}
equals(a, b) {
return this.F.equals(
this.F.mul(a[0], b[1]),
this.F.mul(a[1], b[0])
);
}
isZero(a) {
return this.F.isZero(a[0]);
}
affine(a) {
return [this.F.div(a[0], a[1]), this.F.one];
}
toString(a) {
const ca = this.affine(a);
return `"0x${ca[0].toString(16)}"`;
}
random() {
return [this.F.random(), this.F.one];
}
fromF(a) {
return [a, this.F.one];
}
toF(a) {
return this.affine(a)[0];
}
}
module.exports = RatField;