test/test_FP2_js

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    to you under the Apache License, Version 2.0 (the
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    specific language governing permissions and limitations
    under the License.
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/* Test FP2 ARITHMETICS - test driver and function exerciser for FP2 API Functions */

var chai = require('chai');

var CTX = require("../index");

var expect = chai.expect;

var pf_curves = ['BN254', 'BN254CX', 'BLS381', 'BLS383', 'BLS461', 'FP256BN', 'FP512BN', 'BLS24', 'BLS48'];

var readBIG = function(string, ctx) {
    while (string.length != ctx.BIG.MODBYTES*2){string = "00"+string;}
    return ctx.BIG.fromBytes(Buffer.from(string, "hex"));
}

var readFP2 = function(string, ctx) {

    string = string.split(",");
    var cox = string[0].slice(1);
    var coy = string[1].slice(0,-1);

    var x = readBIG(cox,ctx);
    var y = readBIG(coy,ctx);

    return new ctx.FP2(x,y);
}

describe('TEST FP2 ARITHMETIC', function() {

    pf_curves.forEach(function(curve){

        it('test '+ curve, function(done) {
            this.timeout(0);

            var ctx = new CTX(curve);
            var vectors = require('../testVectors/fp2/'+curve+'.json');
            var i=0;

            vectors.forEach(function(vector){

                // test commutativity of addition
                var fp21 = readFP2(vector.FP21,ctx);
                var fp22 = readFP2(vector.FP22,ctx);
                var fp2add = readFP2(vector.FP2add,ctx);
                var a1 = new ctx.FP2(0);
                var a2 = new ctx.FP2(0);
                a1.copy(fp21);
                a1.add(fp22);
                expect(a1.toString()).to.equal(fp2add.toString());
                a2.copy(fp22);
                a2.add(fp21);
                expect(a2.toString()).to.equal(fp2add.toString());

                // test associativity of addition
                a2.add(fp2add);
                a1.copy(fp21);
                a1.add(fp2add);
                a1.add(fp22);
                expect(a1.toString()).to.equal(a2.toString());

                // test subtraction
                var fp2sub = readFP2(vector.FP2sub, ctx);
                a1.copy(fp21);
                a1.sub(fp22);
                expect(a1.toString()).to.equal(fp2sub.toString());

                // test negative of a FP2
                var fp2neg = readFP2(vector.FP2neg, ctx);
                a1.copy(fp21);
                a1.neg();
                expect(a1.toString()).to.equal(fp2neg.toString());

                // test conjugate of a FP2
                var fp2conj = readFP2(vector.FP2conj, ctx);
                a1.copy(fp21);
                a1.conj();
                expect(a1.toString()).to.equal(fp2conj.toString());

                // test scalar multiplication
                var fp2pmul = readFP2(vector.FP2pmul, ctx);
                var scalar = readBIG(vector.BIGsc, ctx);
                var fpsc = new ctx.FP(0);
                fpsc.bcopy(scalar);
                a1.copy(fp21);
                a1.pmul(fpsc);
                expect(a1.toString()).to.equal(fp2pmul.toString());

                // test small scalar multiplication
                var fp2imul = readFP2(vector.FP2imul, ctx);
                a1.copy(fp21);
                a1.imul(i);
                expect(a1.toString()).to.equal(fp2imul.toString());
                i++;

                // test square and square root
                var fp2sqr = readFP2(vector.FP2sqr, ctx);
                a1.copy(fp21);
                a1.sqr();
                expect(a1.toString()).to.equal(fp2sqr.toString());
                a1.sqrt();
                a1.sqr();
                expect(a1.toString()).to.equal(fp2sqr.toString());

                // test multiplication
                var fp2mul = readFP2(vector.FP2mul, ctx);
                a1.copy(fp21);
                a2.copy(fp22);
                a1.mul(a2);
                expect(a1.toString()).to.equal(fp2mul.toString());

                // test power
                var fp2pow = readFP2(vector.FP2pow, ctx);
                a1 = fp21.pow(scalar);
                expect(a1.toString()).to.equal(fp2pow.toString());

                // test inverse
                var fp2inv = readFP2(vector.FP2inv, ctx);
                a1.copy(fp21);
                a1.inverse();
                expect(a1.toString()).to.equal(fp2inv.toString());

                // test division by 2
                var fp2div2 = readFP2(vector.FP2div2, ctx);
                a1.copy(fp21);
                a1.div2();
                expect(a1.toString()).to.equal(fp2div2.toString());

                // test multiplication by (1+sqrt(-1))
                var fp2mulip = readFP2(vector.FP2mulip, ctx);
                a1.copy(fp21);
                a1.mul_ip();
                expect(a1.toString()).to.equal(fp2mulip.toString());

                // test division by (1+sqrt(-1))
                var fp2divip = readFP2(vector.FP2divip, ctx);
                a1.copy(fp21);
                a1.div_ip();
                expect(a1.toString()).to.equal(fp2divip.toString());

            });
            done();
        });
    });
});