physics 0.1.2

2d collision resolution.
Documentation 
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extern crate nalgebra;
extern crate collisions;

use self::nalgebra::{Vector2, Vector3, Norm};

use self::collisions::collidable::{Collidable, CollidableShape};

#[derive(Clone, Debug)]
pub struct Physical
{
    pub collidable: Collidable,
    pub velocity: Vector2<f32>,
    pub angular_velocity: f32,
    pub centre_of_mass: Vector2<f32>,
    pub restitution: f32,
    pub inertia: f32,
}

#[derive(Clone, Debug)]
pub struct Resolution
{
    pub trans_impulse_a: Vector2<f32>,
    pub ang_impulse_a: f32,
    pub trans_impulse_b: Vector2<f32>,
    pub ang_impulse_b: f32,
}

pub fn resolve_poly_with_any(poly: &Physical, other: &Physical, face: usize, support: Vector2<f32>) -> Resolution
{
    let relative_velocity = other.velocity - poly.velocity;
    let normal = nalgebra::normalize(&Vector2::new(poly.collidable.normx[face], poly.collidable.normy[face]));

    let velocity_along_normal = nalgebra::dot(&relative_velocity, &normal);
    if velocity_along_normal <= 0.0 // if velocities are towards each other
    {
        let e = poly.restitution * other.restitution;
        let j = -(e + 1.0) * velocity_along_normal;

        let poly_impulse = -normal * j * (other.inertia / (other.inertia + poly.inertia));
        let poly_h = poly.centre_of_mass - support;

        if poly_impulse.norm() > 0.0 && poly_h.norm() > 0.0
        {
            let poly_trans_impulse = poly_impulse * nalgebra::dot(&nalgebra::normalize(&poly_h), &nalgebra::normalize(&poly_impulse));

            let poly_ha = nalgebra::normalize(&Vector3::new(poly_h.x, poly_h.y, 0.0));
            let poly_ia = nalgebra::normalize(&Vector3::new(poly_impulse.x, poly_impulse.y, 0.0));
            let poly_ang_impulse = -(nalgebra::cross(&poly_ha, &poly_ia)).z / poly_impulse.norm() / poly_h.norm();

            let other_impulse = -normal * j * (poly.inertia / (poly.inertia + other.inertia));
            let other_h = other.centre_of_mass - support;

            if other_impulse.norm() > 0.0 && other_h.norm() > 0.0
            {
                let other_trans_impulse = other_impulse * nalgebra::dot(&nalgebra::normalize(&other_h), &nalgebra::normalize(&other_impulse));

                let other_ha = nalgebra::normalize(&Vector3::new(other_h.x, other_h.y, 0.0));
                let other_ia = nalgebra::normalize(&Vector3::new(other_impulse.x, other_impulse.y, 0.0));
                let other_ang_impulse = -(nalgebra::cross(&other_ha, &other_ia)).z / other_impulse.norm() / other_h.norm();

                return Resolution {
                    trans_impulse_a: poly_trans_impulse,
                    ang_impulse_a: poly_ang_impulse,
                    trans_impulse_b: other_trans_impulse,
                    ang_impulse_b: other_ang_impulse,
                };
            }
        }
    }

    return Resolution {
        trans_impulse_a: nalgebra::zero(),
        ang_impulse_a: 0.0,
        trans_impulse_b: nalgebra::zero(),
        ang_impulse_b: 0.0,
    }
}

pub fn resolve_circle_with_circle(a: &Physical, b: &Physical, face: usize, support: Vector2<f32>) -> Resolution
{
    let relative_velocity = b.velocity - a.velocity;
    let normal = nalgebra::normalize(&(b.centre_of_mass - a.centre_of_mass));

    let velocity_along_normal = nalgebra::dot(&relative_velocity, &normal);
    if velocity_along_normal <= 0.0 // if velocities are towards each other
    {
        let e = a.restitution * b.restitution;
        let j = -(e + 1.0) * velocity_along_normal;

        let a_impulse = -normal * j * (b.inertia / (b.inertia + a.inertia));
        let a_h = a.centre_of_mass - support;
        let a_trans_impulse = a_impulse * nalgebra::dot(&nalgebra::normalize(&a_h), &nalgebra::normalize(&a_impulse));

        let b_impulse = -normal * j * (a.inertia / (a.inertia + b.inertia));
        let b_h = b.centre_of_mass - support;
        let b_trans_impulse = b_impulse * nalgebra::dot(&nalgebra::normalize(&b_h), &nalgebra::normalize(&b_impulse));

        Resolution {
            trans_impulse_a: a_trans_impulse,
            ang_impulse_a: 0.0,
            trans_impulse_b: b_trans_impulse,
            ang_impulse_b: 0.0,
        }
    }
    else
    {
        Resolution {
            trans_impulse_a: nalgebra::zero(),
            ang_impulse_a: 0.0,
            trans_impulse_b: nalgebra::zero(),
            ang_impulse_b: 0.0,
        }
    }
}

#[test]
fn test_resolve_poly_with_any()
{
    let a = Physical {
        collidable: Collidable {
            collidable_type: 2,
            collidable_shape: CollidableShape::Polygon,
            collidable_id: 0,
            centrex: 0.0,
            centrey: 0.0,
            radius: 0.0,
            nvert: 4,
            vertx: vec![
                15.0,
                30.0,
                30.0,
                15.0
            ],
            verty: vec![
                -10.0,
                -10.0,
                15.0,
                15.0
            ],
            normx: vec![
                0.0,
                25.0,
                0.0,
                -25.0
            ],
            normy: vec![
                -15.0,
                0.0,
                15.0,
                0.0
            ]
        },
        velocity: Vector2 {
            x: 0.0,
            y: 0.0
        },
        angular_velocity: 0.0,
        centre_of_mass: Vector2 {
            x: 15.0,
            y: -10.0
        } - (Vector2 {
            x: 15.0,
            y: 25.0
        }/2.0),
        restitution: 0.1,
        inertia: 100000.0,
    };

    let b = Physical {
        collidable: Collidable {
            collidable_type: 1,
            collidable_shape: CollidableShape::Circle,
            collidable_id: 1,
            centrex: 13.925043,
            centrey: -0.6393018,
            radius: 1.6666667,
            nvert: 0,
            vertx: vec![],
            verty: vec![],
            normx: vec![],
            normy: vec![]
        },
        velocity: Vector2 {
            x: -0.5088411,
        y: -0.5892709
            // x: 0.0,//-0.5088411,
            // y: 0.0//-0.5892709
        },
        angular_velocity: 0.0,
        centre_of_mass: Vector2 {
            x: 13.925043,
            y: -0.6393018
        },
        restitution: 0.1,
        inertia: 1.6666667,
    };



    let face = 3;

    let supp = Vector2 {
        x: 15.0,
    y: -0.6294794
        // x: 15.0,
        // y: -0.63930225
    };

    let res = resolve_poly_with_any(&a, &b, face, supp);

    println!("{:#?}", res);
}