cgmath/src/test/test_vec.rs

use std::cmp::FuzzyEq;
use numeric::*;
use numeric::float::Float;

use vec::*;

// TODO

#[test]
fn test_vec2() {
    // assert vec2::dim == 2;
    
    let a = Vec2 { x: 1.0, y: 2.0 };
    let b = Vec2 { x: 3.0, y: 4.0 };
    let f1 = 1.5;
    let f2 = 0.5;
    
    let mut mut_a = a;
    
    assert vec2::new(1.0, 2.0) == a;
    assert vec2::from_value(1.0) == vec2::new(1.0, 1.0);
    
    assert vec2::zero()     == vec2::new(0.0, 0.0);
    assert vec2::unit_x()   == vec2::new(1.0, 0.0);
    assert vec2::unit_y()   == vec2::new(0.0, 1.0);
    assert vec2::identity() == vec2::new(1.0, 1.0);
    
    *mut_a.index_mut(0) = 42.0;
    *mut_a.index_mut(1) = 43.0;
    assert mut_a == vec2::new(42.0, 43.0);
    mut_a = a;
    
    mut_a.swap(0, 1);
    assert mut_a[0] == a[1];
    assert mut_a[1] == a[0];
    mut_a = a;
    
    assert a.x == 1.0;
    assert a.y == 2.0;
    assert a[0] == 1.0;
    assert a[1] == 2.0;
    
    assert -a      == vec2::new(-1.0, -2.0);
    assert a.neg() == vec2::new(-1.0, -2.0);
    
    assert vec2::new(0.0, 0.0).is_zero();
    assert !vec2::new(1.0, 1.0).is_zero();
    
    assert a.mul_t(f1) == vec2::new( 1.5, 3.0);
    assert a.div_t(f2) == vec2::new( 2.0, 4.0);
    
    assert a.add_v(&b) == vec2::new(    4.0,     6.0);
    assert a.sub_v(&b) == vec2::new(   -2.0,    -2.0);
    assert a.mul_v(&b) == vec2::new(    3.0,     8.0);
    assert a.div_v(&b) == vec2::new(1.0/3.0, 2.0/4.0);
    
    mut_a.neg_self();
    assert mut_a == -a;
    mut_a = a;
    
    mut_a.mul_self_t(&f1);
    assert mut_a == a.mul_t(f1);
    mut_a = a;
    
    mut_a.div_self_t(&f2);
    assert mut_a == a.div_t(f2);
    mut_a = a;
    
    mut_a.add_self_v(&b);
    assert mut_a == a.add_v(&b);
    mut_a = a;
    
    mut_a.sub_self_v(&b);
    assert mut_a == a.sub_v(&b);
    mut_a = a;
    
    mut_a.mul_self_v(&b);
    assert mut_a == a.mul_v(&b);
    mut_a = a;
    
    mut_a.div_self_v(&b);
    assert mut_a == a.div_v(&b);
    // mut_a = a;
    
    // assert c.abs()       == vec2::new( 2.0,  1.0);
    // assert c.min(&d)      == vec2::new(-2.0, -1.0);
    // assert c.max(&d)      == vec2::new( 1.0,  0.0);
}

#[test]
fn test_vec2_fuzzy_eq() {
    assert !vec2::new(0.000001, 0.000001).fuzzy_eq(&vec2::new(0.0, 0.0));
    assert vec2::new(0.0000001, 0.0000001).fuzzy_eq(&vec2::new(0.0, 0.0));
}

#[test]
fn test_vec2_euclidean() {
    let a = vec2::new(5.0, 12.0); // (5, 12, 13) Pythagorean triple
    let b0 = vec2::new(3.0, 4.0); // (3, 4, 5) Pythagorean triple
    let b = a.add_v(&b0);
    
    assert a.length() == 13.0;
    assert a.length2() == 13.0 * 13.0;
    
    assert b0.length() == 5.0;
    assert b0.length2() == 5.0 * 5.0;
    
    assert a.distance(&b) == 5.0;
    assert a.distance2(&b) == 5.0 * 5.0;
    
    assert vec2::new(1.0, 0.0).angle(&vec2::new(0.0, 1.0)).fuzzy_eq(&Float::frac_pi_2());
    assert vec2::new(10.0, 0.0).angle(&vec2::new(0.0, 5.0)).fuzzy_eq(&Float::frac_pi_2());
    assert vec2::new(-1.0, 0.0).angle(&vec2::new(0.0, 1.0)).fuzzy_eq(&Float::frac_pi_2());
    
    assert vec2::new(3.0, 4.0).normalize().fuzzy_eq(&vec2::new(3.0/5.0, 4.0/5.0));
    // TODO: test normalize_to, normalize_self, and normalize_self_to
    
    let c = vec2::new(-2.0, -1.0);
    let d = vec2::new( 1.0,  0.0);
    
    assert c.lerp(&d, 0.75) == vec2::new(0.250, -0.250);
    
    let mut mut_c = c;
    mut_c.lerp_self(&d, &0.75);
    assert mut_c == c.lerp(&d, 0.75);
}

#[test]
fn test_vec2_boolean() {
    let tf = bvec2::new(true, false);
    let ff = bvec2::new(false, false);
    let tt = bvec2::new(true, true);
    
    assert tf.any() == true;
    assert tf.all() == false;
    assert tf.not() == bvec2::new(false, true);
    
    assert ff.any() == false;
    assert ff.all() == false;
    assert ff.not() == bvec2::new(true, true);
    
    assert tt.any() == true;
    assert tt.all() == true;
    assert tt.not() == bvec2::new(false, false);
}

#[test]
fn test_vec3() {
    // assert Vec3::dim == 3;
    
    let a = Vec3 { x: 1.0, y: 2.0, z: 3.0 };
    let b = Vec3 { x: 4.0, y: 5.0, z: 6.0 };
    let f1 = 1.5;
    let f2 = 0.5;
    
    let mut mut_a = a;
    
    assert vec3::new(1.0, 2.0, 3.0) == a;
    assert vec3::from_value(1.0) == vec3::new(1.0, 1.0, 1.0);
    
    assert vec3::zero()     == vec3::new(0.0, 0.0, 0.0);
    assert vec3::unit_x()   == vec3::new(1.0, 0.0, 0.0);
    assert vec3::unit_y()   == vec3::new(0.0, 1.0, 0.0);
    assert vec3::unit_z()   == vec3::new(0.0, 0.0, 1.0);
    assert vec3::identity() == vec3::new(1.0, 1.0, 1.0);
    
    *mut_a.index_mut(0) = 42.0;
    *mut_a.index_mut(1) = 43.0;
    *mut_a.index_mut(2) = 44.0;
    assert mut_a == vec3::new(42.0, 43.0, 44.0);
    mut_a = a;
    
    mut_a.swap(0, 2);
    assert mut_a[0] == a[2];
    assert mut_a[2] == a[0];
    mut_a = a;
    
    mut_a.swap(1, 2);
    assert mut_a[1] == a[2];
    assert mut_a[2] == a[1];
    mut_a = a;
    
    assert a.x == 1.0;
    assert a.y == 2.0;
    assert a.z == 3.0;
    assert a[0] == 1.0;
    assert a[1] == 2.0;
    assert a[2] == 3.0;
    
    assert a.cross(&b) == vec3::new(-3.0, 6.0, -3.0);
    
    mut_a.cross_self(&b);
    assert mut_a == a.cross(&b);
    mut_a = a;
    
    assert -a      == vec3::new(-1.0, -2.0, -3.0);
    assert a.neg() == vec3::new(-1.0, -2.0, -3.0);
    
    assert vec3::new(0.0, 0.0, 0.0).is_zero();
    assert !vec3::new(1.0, 1.0, 1.0).is_zero();
    
    assert a.mul_t(f1) == vec3::new( 1.5, 3.0, 4.5);
    assert a.div_t(f2) == vec3::new( 2.0, 4.0, 6.0);
    
    assert a.add_v(&b) == vec3::new(    5.0,     7.0,     9.0);
    assert a.sub_v(&b) == vec3::new(   -3.0,    -3.0,    -3.0);
    assert a.mul_v(&b) == vec3::new(    4.0,    10.0,    18.0);
    assert a.div_v(&b) == vec3::new(1.0/4.0, 2.0/5.0, 3.0/6.0);
    
    mut_a.neg_self();
    assert mut_a == -a;
    mut_a = a;
    
    mut_a.mul_self_t(&f1);
    assert mut_a == a.mul_t(f1);
    mut_a = a;
    
    mut_a.div_self_t(&f2);
    assert mut_a == a.div_t(f2);
    mut_a = a;
    
    mut_a.add_self_v(&b);
    assert mut_a == a.add_v(&b);
    mut_a = a;
    
    mut_a.sub_self_v(&b);
    assert mut_a == a.sub_v(&b);
    mut_a = a;
    
    mut_a.mul_self_v(&b);
    assert mut_a == a.mul_v(&b);
    mut_a = a;
    
    mut_a.div_self_v(&b);
    assert mut_a == a.div_v(&b);
    // mut_a = a;
    
    // exact_eq
    // fuzzy_eq
    // eq
    
    // assert c.abs()        == vec3::new( 2.0,  1.0, 1.0);
    // assert c.min(&d)      == vec3::new(-2.0, -1.0, 0.5);
    // assert c.max(&d)      == vec3::new( 1.0,  0.0, 1.0);
}

#[test]
fn test_vec3_fuzzy_eq() {
    assert !vec3::new(0.000001, 0.000001, 0.000001).fuzzy_eq(&vec3::new(0.0, 0.0, 0.0));
    assert vec3::new(0.0000001, 0.0000001, 0.0000001).fuzzy_eq(&vec3::new(0.0, 0.0, 0.0));
}

#[test]
fn test_vec3_euclidean() {
    let a = vec3::new(2.0, 3.0, 6.0); // (2, 3, 6, 7) Pythagorean quadruple
    let b0 = vec3::new(1.0, 4.0, 8.0); // (1, 4, 8, 9) Pythagorean quadruple
    let b = a.add_v(&b0);
    
    assert a.length() == 7.0;
    assert a.length2() == 7.0 * 7.0;
    
    assert b0.length() == 9.0;
    assert b0.length2() == 9.0 * 9.0;
    
    assert a.distance(&b) == 9.0;
    assert a.distance2(&b) == 9.0 * 9.0;
    
    assert vec3::new(1.0, 0.0, 1.0).angle(&vec3::new(1.0, 1.0, 0.0)).fuzzy_eq(&Float::frac_pi_3());
    assert vec3::new(10.0, 0.0, 10.0).angle(&vec3::new(5.0, 5.0, 0.0)).fuzzy_eq(&Float::frac_pi_3());
    assert vec3::new(-1.0, 0.0, -1.0).angle(&vec3::new(1.0, -1.0, 0.0)).fuzzy_eq(&(2.0 * Float::frac_pi_3()));
    
    assert vec3::new(2.0, 3.0, 6.0).normalize().fuzzy_eq(&vec3::new(2.0/7.0, 3.0/7.0, 6.0/7.0));
    // TODO: test normalize_to, normalize_self, and normalize_self_to
    
    let c = vec3::new(-2.0, -1.0, 1.0);
    let d = vec3::new( 1.0,  0.0, 0.5);
    
    assert c.lerp(&d, 0.75) == vec3::new(0.250, -0.250, 0.625);
    
    let mut mut_c = c;
    mut_c.lerp_self(&d, &0.75);
    assert mut_c == c.lerp(&d, 0.75);
}

#[test]
fn test_vec3_boolean() {
    let tft = bvec3::new(true, false, true);
    let fff = bvec3::new(false, false, false);
    let ttt = bvec3::new(true, true, true);
    
    assert tft.any() == true;
    assert tft.all() == false;
    assert tft.not() == bvec3::new(false, true, false);
    
    assert fff.any() == false;
    assert fff.all() == false;
    assert fff.not() == bvec3::new(true, true, true);
    
    assert ttt.any() == true;
    assert ttt.all() == true;
    assert ttt.not() == bvec3::new(false, false, false);
}

#[test]
fn test_vec4() {
    // assert Vec4::dim == 4;
    
    let a = Vec4 { x: 1.0, y: 2.0, z: 3.0, w: 4.0 };
    let b = Vec4 { x: 5.0, y: 6.0, z: 7.0, w: 8.0 };
    let f1 = 1.5;
    let f2 = 0.5;
    
    let mut mut_a = a;
    
    assert vec4::new(1.0, 2.0, 3.0, 4.0) == a;
    assert vec4::from_value(1.0) == vec4::new(1.0, 1.0, 1.0, 1.0);
    
    *mut_a.index_mut(0) = 42.0;
    *mut_a.index_mut(1) = 43.0;
    *mut_a.index_mut(2) = 44.0;
    *mut_a.index_mut(3) = 45.0;
    assert mut_a == vec4::new(42.0, 43.0, 44.0, 45.0);
    mut_a = a;
    
    mut_a.swap(0, 3);
    assert mut_a[0] == a[3];
    assert mut_a[3] == a[0];
    mut_a = a;
    
    mut_a.swap(1, 2);
    assert mut_a[1] == a[2];
    assert mut_a[2] == a[1];
    mut_a = a;
    
    assert vec4::zero()     == vec4::new(0.0, 0.0, 0.0, 0.0);
    assert vec4::unit_x()   == vec4::new(1.0, 0.0, 0.0, 0.0);
    assert vec4::unit_y()   == vec4::new(0.0, 1.0, 0.0, 0.0);
    assert vec4::unit_z()   == vec4::new(0.0, 0.0, 1.0, 0.0);
    assert vec4::unit_w()   == vec4::new(0.0, 0.0, 0.0, 1.0);
    assert vec4::identity() == vec4::new(1.0, 1.0, 1.0, 1.0);
    
    assert a.x == 1.0;
    assert a.y == 2.0;
    assert a.z == 3.0;
    assert a.w == 4.0;
    assert a[0] == 1.0;
    assert a[1] == 2.0;
    assert a[2] == 3.0;
    assert a[3] == 4.0;
    
    assert -a      == vec4::new(-1.0, -2.0, -3.0, -4.0);
    assert a.neg() == vec4::new(-1.0, -2.0, -3.0, -4.0);
    
    assert vec4::new(0.0, 0.0, 0.0, 0.0).is_zero();
    assert !vec4::new(1.0, 1.0, 1.0, 1.0).is_zero();
    
    assert a.mul_t(f1) == vec4::new( 1.5, 3.0, 4.5, 6.0);
    assert a.div_t(f2) == vec4::new( 2.0, 4.0, 6.0, 8.0);
    
    assert a.add_v(&b) == vec4::new(    6.0,     8.0,    10.0,    12.0);
    assert a.sub_v(&b) == vec4::new(   -4.0,    -4.0,    -4.0,    -4.0);
    assert a.mul_v(&b) == vec4::new(    5.0,    12.0,    21.0,    32.0);
    assert a.div_v(&b) == vec4::new(1.0/5.0, 2.0/6.0, 3.0/7.0, 4.0/8.0);
    
    assert a.dot(&b) == 70.0;
    
    mut_a.neg_self();
    assert mut_a == -a;
    mut_a = a;
    
    mut_a.mul_self_t(&f1);
    assert mut_a == a.mul_t(f1);
    mut_a = a;
    
    mut_a.div_self_t(&f2);
    assert mut_a == a.div_t(f2);
    mut_a = a;
    
    mut_a.add_self_v(&b);
    assert mut_a == a.add_v(&b);
    mut_a = a;
    
    mut_a.sub_self_v(&b);
    assert mut_a == a.sub_v(&b);
    mut_a = a;
    
    mut_a.mul_self_v(&b);
    assert mut_a == a.mul_v(&b);
    mut_a = a;
    
    mut_a.div_self_v(&b);
    assert mut_a == a.div_v(&b);
    // mut_a = a;
    
    // assert c.abs()        == vec4::new( 2.0,  1.0, 1.0, 2.0);
    // assert c.min(&d)      == vec4::new(-2.0, -1.0, 0.5, 1.0);
    // assert c.max(&d)      == vec4::new( 1.0,  0.0, 1.0, 2.0);
}

#[test]
fn test_vec4_fuzzy_eq() {
    assert !vec4::new(0.000001, 0.000001, 0.000001, 0.000001).fuzzy_eq(&vec4::new(0.0, 0.0, 0.0, 0.0));
    assert vec4::new(0.0000001, 0.0000001, 0.0000001, 0.0000001).fuzzy_eq(&vec4::new(0.0, 0.0, 0.0, 0.0));
}

#[test]
fn test_vec4_euclidean() {
    let a = vec4::new(1.0, 2.0, 4.0, 10.0); // (1, 2, 4, 10, 11) Pythagorean quintuple
    let b0 = vec4::new(1.0, 2.0, 8.0, 10.0); // (1, 2, 8, 10, 13) Pythagorean quintuple
    let b = a.add_v(&b0);
    
    assert a.length() == 11.0;
    assert a.length2() == 11.0 * 11.0;
    
    assert b0.length() == 13.0;
    assert b0.length2() == 13.0 * 13.0;
    
    assert a.distance(&b) == 13.0;
    assert a.distance2(&b) == 13.0 * 13.0;
    
    assert vec4::new(1.0, 0.0, 1.0, 0.0).angle(&vec4::new(0.0, 1.0, 0.0, 1.0)).fuzzy_eq(&Float::frac_pi_2());
    assert vec4::new(10.0, 0.0, 10.0, 0.0).angle(&vec4::new(0.0, 5.0, 0.0, 5.0)).fuzzy_eq(&Float::frac_pi_2());
    assert vec4::new(-1.0, 0.0, -1.0, 0.0).angle(&vec4::new(0.0, 1.0, 0.0, 1.0)).fuzzy_eq(&Float::frac_pi_2());
    
    assert vec4::new(1.0, 2.0, 4.0, 10.0).normalize().fuzzy_eq(&vec4::new(1.0/11.0, 2.0/11.0, 4.0/11.0, 10.0/11.0));
    // TODO: test normalize_to, normalize_self, and normalize_self_to

    let c = vec4::new(-2.0, -1.0, 1.0, 2.0);
    let d = vec4::new( 1.0,  0.0, 0.5, 1.0);
    
    assert c.lerp(&d, 0.75) == vec4::new(0.250, -0.250, 0.625, 1.250);
    
    let mut mut_c = c;
    mut_c.lerp_self(&d, &0.75);
    assert mut_c == c.lerp(&d, 0.75);
}

#[test]
fn test_vec4_boolean() {
    let tftf = bvec4::new(true, false, true, false);
    let ffff = bvec4::new(false, false, false, false);
    let tttt = bvec4::new(true, true, true, true);
    
    assert tftf.any() == true;
    assert tftf.all() == false;
    assert tftf.not() == bvec4::new(false, true, false, true);
    
    assert ffff.any() == false;
    assert ffff.all() == false;
    assert ffff.not() == bvec4::new(true, true, true, true);
    
    assert tttt.any() == true;
    assert tttt.all() == true;
    assert tttt.not() == bvec4::new(false, false, false, false);
}