mod support; use glam::f32::*; use support::deg; const IDENTITY: [[f32; 4]; 4] = [ [1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0], ]; const MATRIX: [[f32; 4]; 4] = [ [1.0, 2.0, 3.0, 4.0], [5.0, 6.0, 7.0, 8.0], [9.0, 10.0, 11.0, 12.0], [13.0, 14.0, 15.0, 16.0], ]; const ZERO: [[f32; 4]; 4] = [[0.0; 4]; 4]; #[test] fn test_mat4_align() { use std::mem; assert_eq!(64, mem::size_of::()); if cfg!(feature = "scalar-math") { assert_eq!(4, mem::align_of::()); } else { assert_eq!(16, mem::align_of::()); } } #[test] fn test_mat4_identity() { let identity = Mat4::identity(); assert_eq!(IDENTITY, identity.to_cols_array_2d()); assert_eq!(Mat4::from_cols_array_2d(&IDENTITY), identity); assert_eq!(identity, identity * identity); assert_eq!(identity, Mat4::default()); } #[test] fn test_mat4_zero() { assert_eq!(Mat4::from_cols_array_2d(&ZERO), Mat4::zero()); } #[test] fn test_mat4_accessors() { let mut m = Mat4::zero(); m.set_x_axis(Vec4::new(1.0, 2.0, 3.0, 4.0)); m.set_y_axis(Vec4::new(5.0, 6.0, 7.0, 8.0)); m.set_z_axis(Vec4::new(9.0, 10.0, 11.0, 12.0)); m.set_w_axis(Vec4::new(13.0, 14.0, 15.0, 16.0)); assert_eq!(Mat4::from_cols_array_2d(&MATRIX), m); assert_eq!(Vec4::new(1.0, 2.0, 3.0, 4.0), m.x_axis()); assert_eq!(Vec4::new(5.0, 6.0, 7.0, 8.0), m.y_axis()); assert_eq!(Vec4::new(9.0, 10.0, 11.0, 12.0), m.z_axis()); assert_eq!(Vec4::new(13.0, 14.0, 15.0, 16.0), m.w_axis()); } #[test] fn test_mat4_from_axes() { let a = Mat4::from_cols_array_2d(&[ [1.0, 2.0, 3.0, 4.0], [5.0, 6.0, 7.0, 8.0], [9.0, 10.0, 11.0, 12.0], [13.0, 14.0, 15.0, 16.0], ]); assert_eq!(MATRIX, a.to_cols_array_2d()); let b = Mat4::from_cols( vec4(1.0, 2.0, 3.0, 4.0), vec4(5.0, 6.0, 7.0, 8.0), vec4(9.0, 10.0, 11.0, 12.0), vec4(13.0, 14.0, 15.0, 16.0), ); assert_eq!(a, b); let c = mat4( vec4(1.0, 2.0, 3.0, 4.0), vec4(5.0, 6.0, 7.0, 8.0), vec4(9.0, 10.0, 11.0, 12.0), vec4(13.0, 14.0, 15.0, 16.0), ); assert_eq!(a, c); let d = b.to_cols_array(); let f = Mat4::from_cols_array(&d); assert_eq!(b, f); } #[test] fn test_mat4_translation() { let translate = Mat4::from_translation(vec3(1.0, 2.0, 3.0)); assert_eq!( Mat4::from_cols( vec4(1.0, 0.0, 0.0, 0.0), vec4(0.0, 1.0, 0.0, 0.0), vec4(0.0, 0.0, 1.0, 0.0), vec4(1.0, 2.0, 3.0, 1.0) ), translate ); } #[test] fn test_from_rotation() { let rot_x1 = Mat4::from_rotation_x(deg(180.0)); let rot_x2 = Mat4::from_axis_angle(Vec3::unit_x(), deg(180.0)); assert_approx_eq!(rot_x1, rot_x2); let rot_y1 = Mat4::from_rotation_y(deg(180.0)); let rot_y2 = Mat4::from_axis_angle(Vec3::unit_y(), deg(180.0)); assert_approx_eq!(rot_y1, rot_y2); let rot_z1 = Mat4::from_rotation_z(deg(180.0)); let rot_z2 = Mat4::from_axis_angle(Vec3::unit_z(), deg(180.0)); assert_approx_eq!(rot_z1, rot_z2); } #[test] fn test_mat4_mul() { let mat_a = Mat4::from_axis_angle(Vec3::unit_z(), deg(90.0)); let result3 = mat_a.transform_vector3(Vec3::unit_y()); assert_approx_eq!(vec3(-1.0, 0.0, 0.0), result3); assert_approx_eq!(result3, (mat_a * Vec3::unit_y().extend(0.0)).truncate()); let result4 = mat_a * Vec4::unit_y(); assert_approx_eq!(vec4(-1.0, 0.0, 0.0, 0.0), result4); assert_approx_eq!(result4, mat_a * Vec4::unit_y()); let mat_b = Mat4::from_scale_rotation_translation( Vec3::new(0.5, 1.5, 2.0), Quat::from_rotation_x(deg(90.0)), Vec3::new(1.0, 2.0, 3.0), ); let result3 = mat_b.transform_vector3(Vec3::unit_y()); assert_approx_eq!(vec3(0.0, 0.0, 1.5), result3, 1.0e-6); assert_approx_eq!(result3, (mat_b * Vec3::unit_y().extend(0.0)).truncate()); let result3 = mat_b.transform_point3(Vec3::unit_y()); assert_approx_eq!(vec3(1.0, 2.0, 4.5), result3, 1.0e-6); assert_approx_eq!(result3, (mat_b * Vec3::unit_y().extend(1.0)).truncate()); } #[test] fn test_from_ypr() { let zero = deg(0.0); let yaw = deg(30.0); let pitch = deg(60.0); let roll = deg(90.0); let y0 = Mat4::from_rotation_y(yaw); let y1 = Mat4::from_rotation_ypr(yaw, zero, zero); assert_approx_eq!(y0, y1); let x0 = Mat4::from_rotation_x(pitch); let x1 = Mat4::from_rotation_ypr(zero, pitch, zero); assert_approx_eq!(x0, x1); let z0 = Mat4::from_rotation_z(roll); let z1 = Mat4::from_rotation_ypr(zero, zero, roll); assert_approx_eq!(z0, z1); let yx0 = y0 * x0; let yx1 = Mat4::from_rotation_ypr(yaw, pitch, zero); assert_approx_eq!(yx0, yx1); let yxz0 = y0 * x0 * z0; let yxz1 = Mat4::from_rotation_ypr(yaw, pitch, roll); assert_approx_eq!(yxz0, yxz1, 1e-6); } #[test] fn test_from_scale() { let m = Mat4::from_scale(Vec3::new(2.0, 4.0, 8.0)); assert_approx_eq!( m.transform_point3(Vec3::new(1.0, 1.0, 1.0)), Vec3::new(2.0, 4.0, 8.0) ); assert_approx_eq!(Vec4::unit_x() * 2.0, m.x_axis()); assert_approx_eq!(Vec4::unit_y() * 4.0, m.y_axis()); assert_approx_eq!(Vec4::unit_z() * 8.0, m.z_axis()); assert_approx_eq!(Vec4::unit_w(), m.w_axis()); } #[test] fn test_mat4_transpose() { let m = mat4( vec4(1.0, 2.0, 3.0, 4.0), vec4(5.0, 6.0, 7.0, 8.0), vec4(9.0, 10.0, 11.0, 12.0), vec4(13.0, 14.0, 15.0, 16.0), ); let mt = m.transpose(); assert_eq!(mt.x_axis(), vec4(1.0, 5.0, 9.0, 13.0)); assert_eq!(mt.y_axis(), vec4(2.0, 6.0, 10.0, 14.0)); assert_eq!(mt.z_axis(), vec4(3.0, 7.0, 11.0, 15.0)); assert_eq!(mt.w_axis(), vec4(4.0, 8.0, 12.0, 16.0)); } #[test] fn test_mat4_det() { assert_eq!(0.0, Mat4::zero().determinant()); assert_eq!(1.0, Mat4::identity().determinant()); assert_eq!(1.0, Mat4::from_rotation_x(deg(90.0)).determinant()); assert_eq!(1.0, Mat4::from_rotation_y(deg(180.0)).determinant()); assert_eq!(1.0, Mat4::from_rotation_z(deg(270.0)).determinant()); assert_eq!( 2.0 * 2.0 * 2.0, Mat4::from_scale(vec3(2.0, 2.0, 2.0)).determinant() ); } #[test] fn test_mat4_inverse() { // assert_eq!(None, Mat4::zero().inverse()); let inv = Mat4::identity().inverse(); // assert_ne!(None, inv); assert_approx_eq!(Mat4::identity(), inv); let rotz = Mat4::from_rotation_z(deg(90.0)); let rotz_inv = rotz.inverse(); // assert_ne!(None, rotz_inv); // let rotz_inv = rotz_inv.unwrap(); assert_approx_eq!(Mat4::identity(), rotz * rotz_inv); assert_approx_eq!(Mat4::identity(), rotz_inv * rotz); let trans = Mat4::from_translation(vec3(1.0, 2.0, 3.0)); let trans_inv = trans.inverse(); // assert_ne!(None, trans_inv); // let trans_inv = trans_inv.unwrap(); assert_approx_eq!(Mat4::identity(), trans * trans_inv); assert_approx_eq!(Mat4::identity(), trans_inv * trans); let scale = Mat4::from_scale(vec3(4.0, 5.0, 6.0)); let scale_inv = scale.inverse(); // assert_ne!(None, scale_inv); // let scale_inv = scale_inv.unwrap(); assert_approx_eq!(Mat4::identity(), scale * scale_inv); assert_approx_eq!(Mat4::identity(), scale_inv * scale); let m = scale * rotz * trans; let m_inv = m.inverse(); // assert_ne!(None, m_inv); // let m_inv = m_inv.unwrap(); assert_approx_eq!(Mat4::identity(), m * m_inv, 1.0e-5); assert_approx_eq!(Mat4::identity(), m_inv * m, 1.0e-5); assert_approx_eq!(m_inv, trans_inv * rotz_inv * scale_inv, 1.0e-6); } #[test] fn test_mat4_decompose() { // identity let (out_scale, out_rotation, out_translation) = Mat4::identity().to_scale_rotation_translation(); assert_approx_eq!(Vec3::one(), out_scale); assert!(out_rotation.is_near_identity()); assert_approx_eq!(Vec3::zero(), out_translation); // no scale let in_scale = Vec3::one(); let in_translation = Vec3::new(-2.0, 4.0, -0.125); let in_rotation = Quat::from_rotation_ypr( f32::to_radians(-45.0), f32::to_radians(180.0), f32::to_radians(270.0), ); let in_mat = Mat4::from_scale_rotation_translation(in_scale, in_rotation, in_translation); let (out_scale, out_rotation, out_translation) = in_mat.to_scale_rotation_translation(); assert_approx_eq!(in_scale, out_scale, 1e-6); // out_rotation is different but produces the same matrix // assert_approx_eq!(in_rotation, out_rotation); assert_approx_eq!(in_translation, out_translation); assert_approx_eq!( in_mat, Mat4::from_scale_rotation_translation(out_scale, out_rotation, out_translation), 1e-6 ); // positive scale let in_scale = Vec3::new(1.0, 2.0, 4.0); let in_mat = Mat4::from_scale_rotation_translation(in_scale, in_rotation, in_translation); let (out_scale, out_rotation, out_translation) = in_mat.to_scale_rotation_translation(); assert_approx_eq!(in_scale, out_scale, 1e-6); // out_rotation is different but produces the same matrix // assert_approx_eq!(in_rotation, out_rotation); assert_approx_eq!(in_translation, out_translation); assert_approx_eq!( in_mat, Mat4::from_scale_rotation_translation(out_scale, out_rotation, out_translation), 1e-6 ); // negative scale let in_scale = Vec3::new(-4.0, 1.0, 2.0); let in_mat = Mat4::from_scale_rotation_translation(in_scale, in_rotation, in_translation); let (out_scale, out_rotation, out_translation) = in_mat.to_scale_rotation_translation(); assert_approx_eq!(in_scale, out_scale, 1e-6); // out_rotation is different but produces the same matrix // assert_approx_eq!(in_rotation, out_rotation); assert_approx_eq!(in_translation, out_translation); assert_approx_eq!( in_mat, Mat4::from_scale_rotation_translation(out_scale, out_rotation, out_translation), 1e-5 ); // negative scale let in_scale = Vec3::new(4.0, -1.0, -2.0); let in_mat = Mat4::from_scale_rotation_translation(in_scale, in_rotation, in_translation); let (out_scale, out_rotation, out_translation) = in_mat.to_scale_rotation_translation(); // out_scale and out_rotation are different but they produce the same matrix // assert_approx_eq!(in_scale, out_scale, 1e-6); // assert_approx_eq!(in_rotation, out_rotation); assert_approx_eq!(in_translation, out_translation); assert_approx_eq!( in_mat, Mat4::from_scale_rotation_translation(out_scale, out_rotation, out_translation), 1e-6 ); } #[test] fn test_mat4_look_at() { let eye = Vec3::new(0.0, 0.0, -5.0); let center = Vec3::new(0.0, 0.0, 0.0); let up = Vec3::new(1.0, 0.0, 0.0); let lh = Mat4::look_at_lh(eye, center, up); let rh = Mat4::look_at_rh(eye, center, up); let point = Vec3::new(1.0, 0.0, 0.0); assert_approx_eq!(lh.transform_point3(point), Vec3::new(0.0, 1.0, 5.0)); assert_approx_eq!(rh.transform_point3(point), Vec3::new(0.0, 1.0, -5.0)); } #[test] fn test_mat4_perspective_gl_rh() { let projection = Mat4::perspective_rh_gl(f32::to_radians(90.0), 2.0, 5.0, 15.0); let original = Vec3::new(5.0, 5.0, -15.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 15.0, 15.0), projected); let original = Vec3::new(5.0, 5.0, -5.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, -5.0, 5.0), projected); } #[test] fn test_mat4_perspective_lh() { let projection = Mat4::perspective_lh(f32::to_radians(90.0), 2.0, 5.0, 15.0); let original = Vec3::new(5.0, 5.0, 15.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 15.0, 15.0), projected); let original = Vec3::new(5.0, 5.0, 5.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 0.0, 5.0), projected); } #[test] fn test_mat4_perspective_infinite_lh() { let projection = Mat4::perspective_infinite_lh(f32::to_radians(90.0), 2.0, 5.0); let original = Vec3::new(5.0, 5.0, 15.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 10.0, 15.0), projected); let original = Vec3::new(5.0, 5.0, 5.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 0.0, 5.0), projected); } #[test] fn test_mat4_perspective_infinite_reverse_lh() { let projection = Mat4::perspective_infinite_reverse_lh(f32::to_radians(90.0), 2.0, 5.0); let original = Vec3::new(5.0, 5.0, 15.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 5.0, 15.0), projected); let original = Vec3::new(5.0, 5.0, 5.0); let projected = projection * original.extend(1.0); assert_approx_eq!(Vec4::new(2.5, 5.0, 5.0, 5.0), projected); } #[test] fn test_mat4_orthographic_gl_rh() { let projection = Mat4::orthographic_rh_gl(-10.0, 10.0, -5.0, 5.0, 0.0, -10.0); let original = Vec4::new(5.0, 5.0, -5.0, 1.0); let projected = projection.mul_vec4(original); assert_approx_eq!(projected, Vec4::new(0.5, 1.0, -2.0, 1.0)); } #[test] fn test_mat4_orthographic_rh() { let projection = Mat4::orthographic_rh(-10.0, 10.0, -5.0, 5.0, -10.0, 10.0); let original = Vec4::new(5.0, 5.0, -5.0, 1.0); let projected = projection.mul_vec4(original); assert_approx_eq!(projected, Vec4::new(0.5, 1.0, 0.75, 1.0)); let original = Vec4::new(5.0, 5.0, 5.0, 1.0); let projected = projection.mul_vec4(original); assert_approx_eq!(projected, Vec4::new(0.5, 1.0, 0.25, 1.0)); } #[test] fn test_mat4_orthographic_lh() { let projection = Mat4::orthographic_lh(-10.0, 10.0, -5.0, 5.0, -10.0, 10.0); let original = Vec4::new(5.0, 5.0, -5.0, 1.0); let projected = projection.mul_vec4(original); assert_approx_eq!(projected, Vec4::new(0.5, 1.0, 0.25, 1.0)); let original = Vec4::new(5.0, 5.0, 5.0, 1.0); let projected = projection.mul_vec4(original); assert_approx_eq!(projected, Vec4::new(0.5, 1.0, 0.75, 1.0)); } #[test] fn test_mat4_ops() { let m0 = Mat4::from_cols_array_2d(&MATRIX); let m0x2 = Mat4::from_cols_array_2d(&[ [2.0, 4.0, 6.0, 8.0], [10.0, 12.0, 14.0, 16.0], [18.0, 20.0, 22.0, 24.0], [26.0, 28.0, 30.0, 32.0], ]); assert_eq!(m0x2, m0 * 2.0); assert_eq!(m0x2, 2.0 * m0); assert_eq!(m0x2, m0 + m0); assert_eq!(Mat4::zero(), m0 - m0); assert_approx_eq!(m0, m0 * Mat4::identity()); assert_approx_eq!(m0, Mat4::identity() * m0); } #[test] fn test_mat4_fmt() { let a = Mat4::from_cols_array_2d(&MATRIX); assert_eq!( format!("{}", a), "[[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]]" ); } #[cfg(feature = "serde")] #[test] fn test_mat4_serde() { let a = Mat4::from_cols( vec4(1.0, 2.0, 3.0, 4.0), vec4(5.0, 6.0, 7.0, 8.0), vec4(9.0, 10.0, 11.0, 12.0), vec4(13.0, 14.0, 15.0, 16.0), ); let serialized = serde_json::to_string(&a).unwrap(); assert_eq!( serialized, "[1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0]" ); let deserialized = serde_json::from_str(&serialized).unwrap(); assert_eq!(a, deserialized); let deserialized = serde_json::from_str::("[]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::("[1.0]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::("[1.0,2.0]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::("[1.0,2.0,3.0]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::("[1.0,2.0,3.0,4.0,5.0]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::("[[1.0,2.0,3.0],[4.0,5.0,6.0],[7.0,8.0,9.0]]"); assert!(deserialized.is_err()); let deserialized = serde_json::from_str::( "[[1.0,2.0,3.0,4.0],[5.0,6.0,7.0,8.0],[9.0,10.0,11.0,12.0][13.0,14.0,15.0,16.0]]", ); assert!(deserialized.is_err()); } #[cfg(feature = "rand")] #[test] fn test_mat4_rand() { use rand::{Rng, SeedableRng}; use rand_xoshiro::Xoshiro256Plus; let mut rng1 = Xoshiro256Plus::seed_from_u64(0); let a = Mat4::from_cols_array(&rng1.gen::<[f32; 16]>()); let mut rng2 = Xoshiro256Plus::seed_from_u64(0); let b = rng2.gen::(); assert_eq!(a, b); }