#![cfg(feature = "encoding")]

extern crate lambda_calculus as lambda;

use lambda::data::num::signed::*;
use lambda::*;

#[test]
fn signed_neg() {
    assert_eq!(
        beta(app(neg(), (-2).into_signed(Church)), NOR, 0),
        beta(2.into_signed(Church), NOR, 0)
    );
    assert_eq!(
        beta(app(neg(), (-1).into_signed(Scott)), NOR, 0),
        beta(1.into_signed(Scott), NOR, 0)
    );
    assert_eq!(
        beta(app(neg(), 0.into_signed(Parigot)), NOR, 0),
        beta(0.into_signed(Parigot), NOR, 0)
    );
}

#[test]
fn signed_simplify() {
    assert_eq!(
        beta(app(simplify(Church), (0, 0).into_church()), NOR, 0),
        (0, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (1, 1).into_church()), NOR, 0),
        (0, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (2, 2).into_church()), NOR, 0),
        (0, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (1, 0).into_church()), NOR, 0),
        (1, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (3, 0).into_church()), NOR, 0),
        (3, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (0, 3).into_church()), NOR, 0),
        (0, 3).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (1, 2).into_church()), NOR, 0),
        (0, 1).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (4, 1).into_church()), NOR, 0),
        (3, 0).into_church()
    );
    assert_eq!(
        beta(app(simplify(Church), (5, 2).into_church()), NOR, 0),
        (3, 0).into_church()
    );
}

#[test]
fn signed_modulus() {
    assert_eq!(
        beta(app(modulus(Church), (-2).into_signed(Church)), NOR, 0),
        2.into_church()
    );
    assert_eq!(
        beta(app(modulus(Church), (-1).into_signed(Church)), NOR, 0),
        1.into_church()
    );
    assert_eq!(
        beta(app(modulus(StumpFu), 0.into_signed(StumpFu)), NOR, 0),
        0.into_stumpfu()
    );
    assert_eq!(
        beta(app(modulus(Parigot), 2.into_signed(Parigot)), NOR, 0),
        2.into_parigot()
    );
}

#[test]
fn signed_add() {
    assert_eq!(
        beta(
            app!(add(Church), 0.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 1.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 2.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        2.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 0.into_signed(Church), (-1).into_signed(Church)),
            NOR,
            0
        ),
        (-1).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 0.into_signed(Church), (-2).into_signed(Church)),
            NOR,
            0
        ),
        (-2).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 4.into_signed(Church), 5.into_signed(Church)),
            NOR,
            0
        ),
        9.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), (-4).into_signed(Church), 5.into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 4.into_signed(Church), (-5).into_signed(Church)),
            NOR,
            0
        ),
        (-1).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(add(Church), 4.into_signed(Church), (-4).into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
}

#[test]
fn signed_sub() {
    assert_eq!(
        beta(
            app!(sub(Church), 0.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 1.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 2.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        2.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 0.into_signed(Church), (-1).into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 0.into_signed(Church), (-2).into_signed(Church)),
            NOR,
            0
        ),
        2.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 4.into_signed(Church), 5.into_signed(Church)),
            NOR,
            0
        ),
        (-1).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 3.into_signed(Church), 2.into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 2.into_signed(Church), 3.into_signed(Church)),
            NOR,
            0
        ),
        (-1).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), (-4).into_signed(Church), 5.into_signed(Church)),
            NOR,
            0
        ),
        (-9).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 4.into_signed(Church), (-5).into_signed(Church)),
            NOR,
            0
        ),
        9.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(sub(Church), 4.into_signed(Church), (-4).into_signed(Church)),
            NOR,
            0
        ),
        8.into_signed(Church)
    );
}

#[test]
fn signed_mul() {
    assert_eq!(
        beta(
            app!(mul(Church), 0.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 1.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 2.into_signed(Church), 0.into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 0.into_signed(Church), (-1).into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 0.into_signed(Church), (-2).into_signed(Church)),
            NOR,
            0
        ),
        0.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 1.into_signed(Church), 1.into_signed(Church)),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 1.into_signed(Church), (-1).into_signed(Church)),
            NOR,
            0
        ),
        (-1).into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(
                mul(Church),
                (-1).into_signed(Church),
                (-1).into_signed(Church)
            ),
            NOR,
            0
        ),
        1.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(
                mul(Church),
                (-2).into_signed(Church),
                (-1).into_signed(Church)
            ),
            NOR,
            0
        ),
        2.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 2.into_signed(Church), 2.into_signed(Church)),
            NOR,
            0
        ),
        4.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), 2.into_signed(Church), 3.into_signed(Church)),
            NOR,
            0
        ),
        6.into_signed(Church)
    );
    assert_eq!(
        beta(
            app!(mul(Church), (-2).into_signed(Church), 3.into_signed(Church)),
            NOR,
            0
        ),
        (-6).into_signed(Church)
    );
}