Math.Complex

var cplx = Math.Complex,
    cplxe = Math.Complex.polar;
p(new Math.Complex(1, 1) instanceof Math.Complex);
p(Math.Complex(1, 1) instanceof Math.Complex); /* new can be omitted */
p(cplx(Math.SQRT1_2, Math.SQRT1_2));
p(cplxe(1,Math.PI/4));
var c1 = cplx(1,2);
var c2 = cplx(3,4);
p(c1);
p('neg: ' + c1.neg());
p('con: ' + c1.con());
p('add: ' + c1.add(c2));
p('add: ' + c1.add(2));
p('sub: ' + c1.sub(c2));
p('sub: ' + c1.sub(2));
p('mul: ' + c1.mul(c2));
p('mul: ' + c1.mul(2));
p('div: ' + c1.div(c2));
p('div: ' + c1.div(2));
p('/0: '  + c1.div(cplx(0,0)));
p('/0: '  + c1.div(0));
p('arg: ' + c1.arg());
p('abs: ' + c1.abs());
p(cplxe(c1.abs(),c1.arg()));
p('exp: ' + c1.exp());
p('log: ' + c1.log());
p('pow: ' + c1.pow(c2));
p('pow: ' + c1.pow(2));
p('pow: ' + cplx(-2.5).pow(-2.5));
p('eq: '  + c1.eq(c1));
p('eq: '  + c1.eq(c2));
p('ne: '  + c1.ne(c1));
p('ne: '  + c1.ne(c2));
p('sqrt:'  + cplx(2).sqrt());
p('sqrt:'  + cplx(0, 2).sqrt());
p('cos:'  + cplx(Math.PI/6).cos());
p('sin:'  + cplx(Math.PI/6).sin());
p('tan:'  + cplx(Math.PI/6).tan());
p('acos:' + cplx(Math.SQRT1_2).acos());
p('asin:' + cplx(Math.SQRT1_2).asin());
p('atan:' + cplx(Math.SQRT1_2).atan());
p('atan2:' + cplx(1).atan2(1));
p('atan2:' + cplx(1).atan2(0));
p('atan2:' + cplx(-1).atan2(0));
p('atan2:' + cplx(0).atan2(0));
with(Math.Complex){
    p( exp(mul(Math.PI, cplx(0,1))) );
    p([I, J]);
}
var c3 = new Math.Complex(c1);
p(c3);
p(c3.eq(c1));
p(c1 === c3);