Struct truck_geometry::specifieds::Plane[−][src]

pub struct Plane { /* fields omitted */ }

Expand description

plane

Example

use truck_geometry::*;
 
// arbitary three points
let pt0 = Point3::new(0.0, 1.0, 2.0);
let pt1 = Point3::new(1.0, 1.0, 3.0);
let pt2 = Point3::new(0.0, 2.0, 3.0);
 
// Creates a plane
let plane: Plane = Plane::new(pt0, pt1, pt2);
// The origin of the plane is pt0.
assert_near!(plane.origin(), pt0);
// The u-axis of the plane is the vector from pt0 to pt1.
assert_near!(plane.u_axis(), pt1 - pt0);
// The v-axis of the plane is the vector from pt0 to pt2.
assert_near!(plane.v_axis(), pt2 - pt0);
// The normal is the normalized u-axis × v-axis
assert_near!(plane.normal(), (pt1 - pt0).cross(pt2 - pt0).normalize());

Implementations

[src]

impl Plane

[src]

pub fn new(origin: Point3, one: Point3, another: Point3) -> Plane

Creates a new plane from three points.

[src]

pub fn origin(&self) -> Point3

Returns the origin

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pub fn u_axis(&self) -> Vector3

Returns the u-axis

[src]

pub fn v_axis(&self) -> Vector3

Returns the v-axis

[src]

pub fn normal(&self) -> Vector3

Returns the normal

Examples

use truck_geometry::*;
let plane = Plane::new(
    Point3::new(0.0, 0.0, 0.0),
    Point3::new(1.0, 0.0, 0.0),
    Point3::new(0.0, 1.0, 0.0),
);
assert_near!(plane.normal(), Vector3::unit_z());

[src]

pub fn get_parameter(&self, pt: Point3) -> Vector3

Gets the parameter of pt in plane’s matrix.

Examples

use truck_geometry::*;
let plane = Plane::new(
    Point3::new(1.0, 2.0, 3.0),
    Point3::new(2.0, 1.0, 3.0),
    Point3::new(3.0, 4.0, -1.0),
);

let pt = Point3::new(2.1, -6.5, 4.7);
let prm = plane.get_parameter(pt);
let rev = plane.origin()
    + prm[0] * plane.u_axis()
    + prm[1] * plane.v_axis()
    + prm[2] * plane.normal();
assert_near!(pt, rev);

[src]

pub fn into_bspline(&self) -> BSplineSurface<Point3>

into B-spline surface

Examples

use truck_geometry::*;
let pt0 = Point3::new(0.0, 1.0, 2.0);
let pt1 = Point3::new(1.0, 1.0, 3.0);
let pt2 = Point3::new(0.0, 2.0, 3.0);
let plane: Plane = Plane::new(pt0, pt1, pt2);
let surface: BSplineSurface<Point3> = plane.into_bspline();
assert_eq!(surface.parameter_range(), ((0.0, 1.0), (0.0, 1.0)));

const N: usize = 100;
for i in 0..=N {
    for j in 0..=N {
        let u = i as f64 / N as f64;
        let v = j as f64 / N as f64;
        let res = surface.subs(u, v);
        let ans = plane.subs(u, v);
        assert_near!(ans, res);
    }
}

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pub fn into_nurbs(&self) -> NURBSSurface<Vector4>

into NURBS surface

Examples

use truck_geometry::*;
let pt0 = Point3::new(0.0, 1.0, 2.0);
let pt1 = Point3::new(1.0, 1.0, 3.0);
let pt2 = Point3::new(0.0, 2.0, 3.0);
let plane: Plane = Plane::new(pt0, pt1, pt2);
let surface: NURBSSurface<Vector4> = plane.into_nurbs();
assert_eq!(surface.parameter_range(), ((0.0, 1.0), (0.0, 1.0)));

const N: usize = 100;
for i in 0..=N {
    for j in 0..=N {
        let u = i as f64 / N as f64;
        let v = j as f64 / N as f64;
        let res = surface.subs(u, v);
        let ans = plane.subs(u, v);
        assert_near!(ans, res);
    }
}