use na::{Orthographic3, Perspective3, Point3}; #[test] fn perspective_inverse() { let proj = Perspective3::new(800.0 / 600.0, 3.14 / 2.0, 1.0, 1000.0); let inv = proj.inverse(); let id = inv * proj.into_inner(); assert!(id.is_identity(1.0e-7)); } #[test] fn orthographic_inverse() { let proj = Orthographic3::new(1.0, 2.0, -3.0, -2.5, 10.0, 900.0); let inv = proj.inverse(); let id = inv * proj.into_inner(); assert!(id.is_identity(1.0e-7)); } #[test] fn perspective_matrix_point_transformation() { // https://github.com/dimforge/nalgebra/issues/640 let proj = Perspective3::new(4.0 / 3.0, 90.0, 0.1, 100.0); let perspective_inv = proj.as_matrix().try_inverse().unwrap(); let some_point = Point3::new(1.0, 2.0, 0.0); assert_eq!( perspective_inv.transform_point(&some_point), Point3::from_homogeneous(perspective_inv * some_point.coords.push(1.0)).unwrap() ); } #[cfg(feature = "arbitrary")] mod quickcheck_tests { use na::{Orthographic3, Perspective3, Point3}; quickcheck! { fn perspective_project_unproject(pt: Point3) -> bool { let proj = Perspective3::new(800.0 / 600.0, 3.14 / 2.0, 1.0, 1000.0); let projected = proj.project_point(&pt); let unprojected = proj.unproject_point(&projected); relative_eq!(pt, unprojected, epsilon = 1.0e-7) } fn orthographic_project_unproject(pt: Point3) -> bool { let proj = Orthographic3::new(1.0, 2.0, -3.0, -2.5, 10.0, 900.0); let projected = proj.project_point(&pt); let unprojected = proj.unproject_point(&projected); relative_eq!(pt, unprojected, epsilon = 1.0e-7) } } }