#include <assert.h>
#include "studio/geometry.h"
#include "studio/random.h"
#include "triangles.h"

struct vertices triangle(const struct triangle angle)
{
    const struct triangle side = {
        .a = 1.0,
        .b = sine(angle.a) / sine(angle.c),
        .c = cosine(angle.a) + ((sine(angle.a) / sine(angle.c)) * cosine(angle.c))
    };
    const struct vertices triangle = {
        .A = (vector){.x = 0.0, .y = 0.0},
        .B = (vector){.x = cosine(angle.a), .y = sine(angle.a)},
        .C = (vector){.x = side.c, .y = 0.0}
    };
    const double magic = 0.65;
    const matrix orientation = translate(
        divide(add(triangle.A, add(triangle.B, triangle.C)), scalar(-3.0)),
        rotate(any(360), scale(
            scalar(magic / max(side.a, max(side.b, side.c))),
            translate(scalar(side.a / 2.0), identity())
        ))
    );
    return (struct vertices){
        .A = transform(triangle.A, orientation),
        .B = transform(triangle.B, orientation),
        .C = transform(triangle.C, orientation)
    };
}