test/test_FP48_js

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/* Test FP48 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 = ['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);;
}

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 readFP8 = function(string, ctx) {
    var X, Y;

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

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

    return new ctx.FP8(X,Y);
}

var readFP16 = function(string, ctx) {
    var X, Y;

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

    X = readFP8(cox,ctx);
    Y = readFP8(coy,ctx);

    return new ctx.FP16(X,Y);
}

var readFP48= 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 = readFP16(cox,ctx);
    Y = readFP16(coy,ctx);
    Z = readFP16(coz,ctx);

    return new ctx.FP48(X,Y,Z);
}

describe('TEST FP48 ARITHMETIC', function() {

    pf_curves.forEach(function(curve){

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

            var ctx = new CTX(curve);
            var vectors = require('../testVectors/fp48/'+ curve +'.json');
            var i = 0;

            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);

            vectors.forEach(function(vector) {
                var fp481,fp482,fp48c;
                fp481 = readFP48(vector.FP481, ctx);
                fp482 = readFP48(vector.FP482, ctx);
                fp48c = readFP48(vector.FP48c, ctx);

                // Generate/read the necessary FP48 and BIGs
                var fp48frobs = [fp481];
                if(i===0){
                    for (k=1; k<16; k++) {
                        var t = new ctx.FP48(0);
                        t.copy(fp48frobs[k-1]);
                        t.frob(Fr,1);
                        fp48frobs[k] = t;
                    }
                } else {
                    var t = new ctx.FP48(0);
                    t.copy(fp481);
                    t.frob(Fr,1);
                    fp48frobs[1] = t;
                }

                var BIGsc = [],
                    BIGscs,
                    BIGsco,
                    k;
                if (i === 0) {
                    for (k=1; k<=16; k++) {
                        BIGsc[k-1] = readBIG(vector["BIGsc" + k], ctx);
                    }
                } else {
                    BIGsc[0] = readBIG(vector.BIGsc1, ctx);
                }
                BIGscs = readBIG(vector.BIGscs, ctx);
                BIGsco = readBIG(vector.BIGsco, ctx);

                var a1 = new ctx.FP48(0);
                var a2 = new ctx.FP48(0);

                // test conjugate of a FP4
                var fp48conj = readFP48(vector.FP48conj, ctx);
                a1.copy(fp481);
                a1.conj();
                expect(a1.toString()).to.equal(fp48conj.toString());

                // test multiplication and commutativity
                var fp48mul = readFP48(vector.FP48mul, ctx);
                a1.copy(fp481);
                a2.copy(fp482);
                a1.mul(fp482);
                a2.mul(fp481);
                expect(a1.toString()).to.equal(fp48mul.toString());
                expect(a2.toString()).to.equal(fp48mul.toString());

                // test square
                var fp48sqr = readFP48(vector.FP48square, ctx);
                a1.copy(fp481);
                a1.sqr();
                expect(a1.toString()).to.equal(fp48sqr.toString());

                // test unitary square
                var fp48usqr = readFP48(vector.FP48usquare, ctx);
                a1.copy(fp481);
                a1.usqr();
                expect(a1.toString()).to.equal(fp48usqr.toString());

                // test inverse
                var fp48inv = readFP48(vector.FP48inv, ctx);
                a1.copy(fp481);
                a1.inverse();
                expect(a1.toString()).to.equal(fp48inv.toString());

                // test smultiplication for D-TYPE
                var fp48smulydtype = readFP48(vector.FP48smulydtype,ctx);
                var fp48smuldtype = readFP48(vector.FP48smuldtype,ctx);
                a1.copy(fp481);
                a1.smul(fp48smulydtype, ctx.ECP.D_TYPE);
                expect(a1.toString()).to.equal(fp48smuldtype.toString());

                // test smultiplication for M-TYPE
                var fp48smulymtype = readFP48(vector.FP48smulymtype,ctx);
                var fp48smulmtype = readFP48(vector.FP48smulmtype,ctx);
                a1.copy(fp481);
                a1.smul(fp48smulymtype, ctx.ECP.M_TYPE);
                expect(a1.toString()).to.equal(fp48smulmtype.toString());

                // test power
                var fp48pow = readFP48(vector.FP48pow, ctx);
                a1 = fp481.pow(BIGsc[0]);
                expect(a1.toString()).to.equal(fp48pow.toString());

                // test power by small integer
                var fp48pinpow = readFP48(vector.FP48pinpow, ctx);
                a1.copy(fp481);
                a1.pinpow(i+1,10);
                expect(a1.toString()).to.equal(fp48pinpow.toString());
                i++;

                // test compressed power with big integer
                var fp48compow = readFP16(vector.FP48compow, ctx);
                a1 = fp48c.compow(BIGsc[0],BIGsco);
                expect(a1.toString()).to.equal(fp48compow.toString());

                // test compressed power with small integer
                var fp48compows = readFP16(vector.FP48compows, ctx);
                a1 = fp48c.compow(BIGscs,BIGsco);
                expect(a1.toString()).to.equal(fp48compows.toString());

                // test pow16
                // Tested only once for timing reasons
                if (i===0) {
                    var fp48pow16 = readFP48(vector.FP48pow16, ctx);
                    a1 = ctx.FP48.pow16(fp48frobs,BIGsc);
                    expect(a1.toString()).to.equal(fp48pow16.toString());
                }

                // test frobenius
                var fp48frob = readFP48(vector.FP48frob, ctx);
                expect(fp48frobs[1].toString()).to.equal(fp48frob.toString());

                //test trace
                var fp16trace = readFP16(vector.FP16trace, ctx);
                a1 = fp481.trace();
                expect(a1.toString()).to.equal(fp16trace.toString());
            });
            done();
        });
    });
});