Changes README, copyright and typos

.gitignore

@@ -61,3 +61,5 @@ typings/
 .next
 
 tmp
+
+.DS_Store

README.md

@@ -1,20 +1,20 @@
-# javascript implementation of zkSnark
+# JavaScript implementation of zkSNARKs.
 
-This is a javascript implementation of zkSnarks.
+This is a JavaScript implementation of zkSNARK schemes.
 
-This library allows to do the trusted setup,  generate proofs and verify the proofs.
+This library allows to do the trusted setup, generate proofs and verify the proofs.
 
 This library uses the compiled circuits generated by the jaz compiler.
 
-## Install
+## Install.
 
 ```
-npm install zkSnark
+npm install zksnark
 ```
 
-## Usage
+## Usage.
 
-### import
+### Import.
 
 ```
 const zkSnark = require("zksnark");
@@ -71,11 +71,11 @@ const circuit = new zkSnark.Circuit(circuitDef);
 
     // input is a key value object where keys are the signal names
     //   of all the inputs (public and private)
-    // returns an array of values that represent the witness
+    // returns an array of values representing the witness
     circuit.calculateWitness(input)
 ```
 
-### Trusted setup
+### Trusted setup.
 
 ```
 const setup = zkSnark.setup(circuit);
@@ -84,7 +84,7 @@ fs.writeFileSink("myCircuit.vk_verifier", JSON.stringify(setup.vk_verifier), "ut
 setup.toxic  // Must be discarded.
 ```
 
-### Generate proof
+### Generate proof.
 
 ```
 const circuitDef = JSON.parse(fs.readFileSync("myCircuit.cir", "utf8"));
@@ -99,7 +99,7 @@ const vk_proof = JSON.parse(fs.readFileSync("myCircuit.vk_proof", "utf8"));
 const {proof, publicSignals} = zkSnark.genProof(vk_proof, witness);
 ```
 
-### Verifier
+### Verifier.
 
 ```
 const vk_verifier = JSON.parse(fs.readFileSync("myCircuit.vk_verifier", "utf8"));

aux/calculate2roots.js

@@ -1,66 +0,0 @@
-
-const bigInt = require("../src/bigint.js");
-const ZqField = require("../src/zqfield.js");
-
-
-const r = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");
-const s = 28;
-const nqr_to_t = bigInt("19103219067921713944291392827692070036145651957329286315305642004821462161904");
-const t_minus_1_over_2 = bigInt("40770029410420498293352137776570907027550720424234931066070132305055");
-const root_unity = bigInt("19103219067921713944291392827692070036145651957329286315305642004821462161904");
-const t = bigInt("81540058820840996586704275553141814055101440848469862132140264610111");
-
-const F = new ZqField(r);
-
-function sqrt(a) {
-
-    let v = s;
-    let z = nqr_to_t;
-    let w = F.exp(a, t_minus_1_over_2);
-    let x = F.mul(a, w);
-    let b = F.mul(x, w);
-
-
-    // compute square root with Tonelli--Shanks
-    // (does not terminate if not a square!)
-
-    while (!F.equals(b, F.one))
-    {
-        let m = 0;
-        let b2m = b;
-        while (!F.equals(b2m, F.one))
-        {
-            /* invariant: b2m = b^(2^m) after entering this loop */
-            b2m = F.square(b2m);
-            m += 1;
-        }
-
-        let j = v-m-1;
-        w = z;
-        while (j > 0)
-        {
-            w = F.square(w);
-            --j;
-        } // w = z^2^(v-m-1)
-
-        z = F.square(w);
-        b = F.mul(b, z);
-        x = F.mul(x, w);
-        v = m;
-    }
-
-    return x;
-}
-
-const p_minus1= F.sub(r,bigInt(1));
-const gen = bigInt(bigInt(5));
-const twoto28= F.exp(bigInt(2), bigInt(28));
-const rem = F.div(p_minus1, twoto28);
-const w28 = F.exp(gen, rem);
-
-const one = F.exp(w28, twoto28);
-
-
-console.log(F.toString(w28));
-console.log(w28.toString(10));
-console.log(F.toString(one));

index.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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/>.
 */
 
 exports.Circuit = require("./src/circuit.js");

package.json

@@ -1,7 +1,7 @@
 {
   "name": "zksnark",
   "version": "0.0.5",
-  "description": "zkSnark implementation in javascript",
+  "description": "zkSNARKs implementation in JavaScript",
   "main": "index.js",
   "scripts": {
     "test": "mocha"

src/bigint.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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/>.
 */
 
 /* global BigInt */

src/bn128.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 bigInt = require("./bigint.js");
 const assert = require("assert");
 

src/calculateWitness.js

@@ -1,22 +1,23 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 bigInt = require("./bigInt");
+
+const bigInt = require("./bigint");
 
 module.exports = calculateWitness;
 

src/circuit.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 bigInt = require("./bigint.js");
 
 const __P__ = bigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617");

src/f2field.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 F2Field {

src/f3field.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 F3Field {

src/futils.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 bigInt = require("./bigint.js");
 
 exports.mulScalar = (F, base, e) =>{

src/gcurve.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 GCurve {

src/polfield.js

@@ -1,27 +1,27 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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/>.
 */
 
 /*
-    This library do operations on polynomials where their coefficients are in field F
+    This library does operations on polynomials with coefficients in a field F.
 
-    The polynomial P(x) = p0 + p1 * x + p2 * x^2 + p3 * x^3, ...
-    is represented by the array [ p0, p1, p2, p3, ...  ]
+    A polynomial P(x) = p0 + p1 * x + p2 * x^2 + ... + pn * x^n  is represented 
+    by the array [ p0, p1, p2, ... , pn ].
  */
 
 const bigInt = require("./bigint.js");

src/prover.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 BN128 = require("./bn128.js");

src/ratfield.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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");

src/setup.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 bigInt = require("./bigint.js");

src/verifier.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 BN128 = require("./bn128.js");

src/zqfield.js

@@ -1,20 +1,20 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 crypto = require("crypto");

test/algebra.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 chai = require("chai");
 
 const bigInt = require("../src/bigint.js");
@@ -44,7 +45,6 @@ describe("F1 testing", () => {
     });
 });
 
-
 describe("Curve G1 Test", () => {
     it("r*one == 0", () => {
         const bn128 = new BN128();

test/calculatewitness.js

@@ -1,27 +1,28 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 chai = require("chai");
 const fs = require("fs");
 const path = require("path");
 
 const Circuit = require("../src/circuit.js");
-const BN128 = require("../src/BN128.js");
+const BN128 = require("../src/bn128.js");
 const F1Field = require("../src/zqfield.js");
 
 const assert = chai.assert;

test/pols.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 chai = require("chai");
 
 const bigInt = require("../src/bigint.js");
@@ -96,7 +97,6 @@ describe("Polynomial field", () => {
 
         assert(PF.equals(a, d));
     });
-
     it("Should div big/small", () => {
         const PF = new PolField(new ZqField(r));
 

test/ratzqfield.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 chai = require("chai");
 
 const bigInt = require("../src/bigint.js");

test/zksnark.js

@@ -1,21 +1,22 @@
 /*
-    Copyright 2018 0kims association
+    Copyright 2018 0kims association.
 
-    This file is part of zksnark javascript library.
+    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 a 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.
+    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/>.
+    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 chai = require("chai");
 const fs = require("fs");
 const path = require("path");
@@ -60,7 +61,7 @@ function unstringifyBigInts(o) {
 }
 
 describe("zkSnark", () => {
-    it("Load a circuit, create trusted setup, create a proof and validate", () => {
+    it("Load a circuit, create trusted setup, create a proof and validate it", () => {
 
         const cirDef = JSON.parse(fs.readFileSync(path.join(__dirname, "circuit", "sum.json"), "utf8"));
         const cir = new Circuit(cirDef);