import orbital.math.Arithmetic;

import orbital.math.functional.*;
import orbital.math.*;

public class FunctionalTest {
    public static void main(String arg[]) throws Exception {
        // get us a value factory for creating arithmetic objects
        final Values vf = Values.getDefaultInstance();
        System.out.println("3+6=" + Operations.plus.apply(vf.valueOf(3), vf.valueOf(6)));
        System.out.println("3.14+6/15=" + Operations.plus.apply(vf.valueOf(3.14), Operations.divide.apply(vf.valueOf(6), vf.valueOf(15))));
        Function h = (Function) Operations.plus.apply(Functions.square, Functions.linear(vf.valueOf(2)));
        System.out.println("f+g=" + h);
        System.out.println("(f+g)(4)=" + h.apply(vf.valueOf(4)));
        h = (Function) Operations.plus.apply(Operations.inverse, Operations.minus);
        System.out.println("(1/x)+(-x)=" + h + " (functional)");
        System.out.println("((1/x)+(-x)) (7) = " + h.apply(vf.valueOf(7)));
        System.out.println("((1/x)+(-x)) (8/14) = " + h.apply(vf.rational(8, 14)) + "");

        // ((-)*id) (x) = (-x)*x
        h = (Function) Operations.times.apply(Operations.minus, Functions.id);
        System.out.println("Apply function (-)*id (x) = " + h.apply(vf.symbol("x")) + " to multiple arguments of various types");
        System.out.println("(-)*id = " + h + " (functional)");
        System.out.println("(-)*id (5) = " + h.apply(vf.valueOf(5)) + " (applied to scalar)");
        System.out.println("(-)*id (4/7) = " + h.apply(vf.rational(4, 7)) + " (applied to rational scalar)");
        System.out.println("(-)*id (2+3i) = " + h.apply(vf.complex(2, 3)) + " (applied to complex)");
        Vector v = vf.valueOf(new double[] {
            3, -2
        });
        System.out.println("(-)*id (" + v + ") = " + h.apply(v) + " (applied to vector with scalar dot product)");
        Matrix M = vf.valueOf(new double[][] {
            {1, 2},
            {4, -1}
        });
        System.out.println("(-)*id (\n" + M + "\n) =\n" + h.apply(M) + " (applied to matrix)");
        System.out.println("(-)*id (a) = " + h.apply(vf.symbol("a")) + " (applied to symbol)");
    } 
}