/*
Written by Sui Huang, McMaster University at Mar 3, 2007
*/

#include "VectorAdtPlus.h"
#include <stdbool.h>
#include <stdio.h>
#include <math.h>

void display_vector(Vector vec, char* name) {
	printf("%s=(%f,%f)\n",name,get_x(vec),get_y(vec));
}

void test_orth(Vector vec1, char* name1, Vector vec2, char* name2){
	printf("is_orthogonal(%s,%s)=%s\n", name1, name2, (is_orthogonal(vec1,vec2)==true)?"true":"false");
}

int main(void) {
	Vector u, v, z;        //used to hold (1,0),(0,1),(0,0)
	Vector p, q, s, t;  //used to hold other vectors

	printf("test i_vector(), j_vector(), get_x(), get_y()\n");
	u = i_vector();    display_vector(u,"u");
	v = j_vector();    display_vector(v,"v");
	z = zero_vector(); display_vector(z,"z");
	printf("\n");

    printf("test mul, add()\n");
    p = mul(1.6,u);        display_vector(p,"p");
    q = mul(-1.2,v);       display_vector(q,"q");
    s = add(p,q);          display_vector(s,"s");
    z = mul(0,s);          display_vector(z,"z");
    t = mul(pow(10,12),s); display_vector(t,"t");
    printf("\n");

    printf("test get_magnitude()\n");
    printf("|u|=%f\n",get_magnitude(u));
    printf("|v|=%f\n",get_magnitude(v));
    printf("|z|=%f\n",get_magnitude(z));
    printf("|p|=%f\n",get_magnitude(p));
    printf("|q|=%f\n",get_magnitude(q));
    printf("|s|=%f\n",get_magnitude(s));
    printf("|t|=%f\n",get_magnitude(t));
    printf("\n");

    printf("test get_angle()\n");
    printf("angle of u is: %f\n",get_angle(u));
    printf("angle of v is: %f\n",get_angle(v));
    printf("angle of z is: %f\n",get_angle(z));
    printf("angle of p is: %f\n",get_angle(p));
    printf("angle of q is: %f\n",get_angle(q));
    printf("angle of s is: %f\n",get_angle(s));
    printf("angle of t is: %f\n",get_angle(t));
    printf("\n");

    printf("test is_orthogonal()\n");
    test_orth(u,"u",v,"v");
    test_orth(z,"z",v,"v");
    test_orth(u,"u",z,"z");
    test_orth(p,"p",q,"q");
    test_orth(s,"s",p,"p");
    test_orth(s,"s",q,"q");
    test_orth(t,"t",t,"t");
    test_orth(t,"t",z,"z");
    test_orth(add(mul(-3.4,i_vector()),mul(8,j_vector())),"(-3.4,8)",
              add(mul(8,i_vector()),mul(3.4,j_vector())),"(8,3.4)");
    printf("\n");

	return 0;
}