nalgebra/tests/geometry/projection.rs

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use na::{Orthographic3, Perspective3, Point3};
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#[test]
fn perspective_inverse() {
let proj = Perspective3::new(800.0 / 600.0, 3.14 / 2.0, 1.0, 1000.0);
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let inv = proj.inverse();
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let id = inv * proj.into_inner();
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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);
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let inv = proj.inverse();
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let id = inv * proj.into_inner();
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assert!(id.is_identity(1.0e-7));
}
#[test]
fn perspective_matrix_point_transformation() {
// https://github.com/rustsim/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()
);
}
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#[cfg(feature = "arbitrary")]
mod quickcheck_tests {
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use na::{Orthographic3, Perspective3, Point3};
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quickcheck!{
fn perspective_project_unproject(pt: Point3<f64>) -> bool {
let proj = Perspective3::new(800.0 / 600.0, 3.14 / 2.0, 1.0, 1000.0);
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let projected = proj.project_point(&pt);
let unprojected = proj.unproject_point(&projected);
relative_eq!(pt, unprojected, epsilon = 1.0e-7)
}
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fn orthographic_project_unproject(pt: Point3<f64>) -> bool {
let proj = Orthographic3::new(1.0, 2.0, -3.0, -2.5, 10.0, 900.0);
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let projected = proj.project_point(&pt);
let unprojected = proj.unproject_point(&projected);
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relative_eq!(pt, unprojected, epsilon = 1.0e-7)
}
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}
}