test/test_FP12_js

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/* Test FP12 ARITHMETICS - test driver and function exerciser for FP4 API Functions */

var chai = require('chai');

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

var expect = chai.expect;

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

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);;
}

var readFP4 = function(string, ctx) {
    var X, Y;

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

    X = readFP2(cox,ctx);
    Y = readFP2(coy,ctx);

    return new ctx.FP4(X,Y);
}

var readFP12= function(string, ctx) {
    var X,Y,Z;

    string = string.split("]],[[");
    var cox = string[0].slice(1) + "]]";
    var coy = "[[" + string[1] + "]]";
    var coz = "[[" + string[2].slice(0,-1);

    X = readFP4(cox,ctx);
    Y = readFP4(coy,ctx);
    Z = readFP4(coz,ctx);

    return new ctx.FP12(X,Y,Z);
}

describe('TEST FP12 ARITHMETIC', function() {

    pf_curves.forEach(function(curve){

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

            var ctx = new CTX(curve);
            var vectors = require('../testVectors/fp12/'+ curve +'.json');

            var Fra = new ctx.FP(0),
                Frb = new ctx.FP(0),
                Fr;
            Fra.rcopy(ctx.ROM_FIELD.Fra);
            Frb.rcopy(ctx.ROM_FIELD.Frb);
            Fr = new ctx.FP2(Fra,Frb);

            var i = 0;
            vectors.forEach(function(vector) {
                // Generate/read the necessary FP12 and BIGs
                var fp121,fp122,fp123,fp124,fp12c;
                fp121 = readFP12(vector.FP121, ctx);
                fp122 = readFP12(vector.FP122, ctx);
                if (i===0){
                    fp123 = readFP12(vector.FP123, ctx);
                    fp124 = readFP12(vector.FP124, ctx);
                }
                    fp12c = readFP12(vector.FP12c, ctx);
                var BIGsc1,BIGsc2,BIGsc3,BIGsc4,BIGscs,BIGsco;
                BIGsc1 = readBIG(vector.BIGsc1, ctx);
                if (i===0){
                    BIGsc2 = readBIG(vector.BIGsc2, ctx);
                    BIGsc3 = readBIG(vector.BIGsc3, ctx);
                    BIGsc4 = readBIG(vector.BIGsc4, ctx);
                }
                BIGscs = readBIG(vector.BIGscs, ctx);
                BIGsco = readBIG(vector.BIGsco, ctx);
                var a1 = new ctx.FP12(0);
                var a2 = new ctx.FP12(0);

                // test conjugate of a FP4
                var fp12conj = readFP12(vector.FP12conj, ctx);
                a1.copy(fp121);
                a1.conj();
                expect(a1.toString()).to.equal(fp12conj.toString());

                // test multiplication and commutativity
                var fp12mul = readFP12(vector.FP12mul, ctx);
                a1.copy(fp121);
                a2.copy(fp122);
                a1.mul(fp122);
                a2.mul(fp121);
                expect(a1.toString()).to.equal(fp12mul.toString());
                expect(a2.toString()).to.equal(fp12mul.toString());

                // test square
                var fp12sqr = readFP12(vector.FP12square, ctx);
                a1.copy(fp121);
                a1.sqr();
                expect(a1.toString()).to.equal(fp12sqr.toString());

                // test unitary square
                var fp12usqr = readFP12(vector.FP12usquare, ctx);
                a1.copy(fp121);
                a1.usqr();
                expect(a1.toString()).to.equal(fp12usqr.toString());

                // test inverse
                var fp12inv = readFP12(vector.FP12inv, ctx);
                a1.copy(fp121);
                a1.inverse();
                expect(a1.toString()).to.equal(fp12inv.toString());

                // test smultiplication for D-TYPE
                var fp12smulydtype = readFP12(vector.FP12smulydtype,ctx);
                var fp12smuldtype = readFP12(vector.FP12smuldtype,ctx);
                a1.copy(fp121);
                a1.smul(fp12smulydtype, ctx.ECP.D_TYPE);
                expect(a1.toString()).to.equal(fp12smuldtype.toString());

                // test smultiplication for M-TYPE
                var fp12smulymtype = readFP12(vector.FP12smulymtype,ctx);
                var fp12smulmtype = readFP12(vector.FP12smulmtype,ctx);
                a1.copy(fp121);
                a1.smul(fp12smulymtype, ctx.ECP.M_TYPE);
                expect(a1.toString()).to.equal(fp12smulmtype.toString());

                // test power
                var fp12pow = readFP12(vector.FP12pow, ctx);
                a1 = fp121.pow(BIGsc1);
                expect(a1.toString()).to.equal(fp12pow.toString());

                // test power by small integer
                var fp12pinpow = readFP12(vector.FP12pinpow, ctx);
                a1.copy(fp121);
                a1.pinpow(i+1,10);
                expect(a1.toString()).to.equal(fp12pinpow.toString());
                i++;

                // test frobenius
                var fp12frob = readFP12(vector.FP12frob, ctx);
                a1.copy(fp121);
                a1.frob(Fr);
                expect(a1.toString()).to.equal(fp12frob.toString());

                // test compressed power with big integer
                var fp12compow = readFP4(vector.FP12compow, ctx);
                a1 = fp12c.compow(BIGsc1,BIGsco);
                expect(a1.toString()).to.equal(fp12compow.toString());

                // test compressed power with small integer
                var fp12compows = readFP4(vector.FP12compows, ctx);
                a1 = fp12c.compow(BIGscs,BIGsco);
                expect(a1.toString()).to.equal(fp12compows.toString());

                // test pow4
                // Executed only once for timing reasons
                if (i===0) {
                    var fp12pow4 = readFP12(vector.FP12pow4, ctx);
                    a1 = ctx.FP12.pow4([fp121,fp122,fp123,fp124],[BIGsc1,BIGsc2,BIGsc3,BIGsc4]);
                    expect(a1.toString()).to.equal(fp12pow4.toString());
                }

                //test trace
                var fp4trace = readFP4(vector.FP4trace, ctx);
                a1 = fp121.trace();
                expect(a1.toString()).to.equal(fp4trace.toString());
            });
            done();
        });
    });
});