Struct truck_geometry::specifieds::Sphere

pub struct Sphere { /* fields omitted */ }

sphere

Examples

use truck_geometry::*;
use std::f64::consts::PI;
 
let center = Point3::new(1.0, 2.0, 3.0);
let radius = 4.56;
 
let sphere = Sphere::new(center, radius);
const N: usize = 100;
for i in 0..=N {
    for j in 0..=N {
        // the parameter u is latitude
        let u = PI * i as f64 / N as f64;
        // the parameter v is longitude
        let v = 2.0 * PI * j as f64 / N as f64;
 
        // simple relation between a point and its normal.
        let pt = sphere.subs(u, v);
        let n = sphere.normal(u, v);
        assert_near!(pt - center, n * radius);
 
        // the proof of u is latitude and v is longitude
        assert!((PI / 2.0 - u) * (pt.z - center.z) >= 0.0);
        assert!((PI - v) * (pt.y - center.y) >= 0.0);
    }
}

Implementations

impl Sphere

pub fn new(center: Point3, radius: f64) -> Sphere

Creates a sphere

pub fn center(&self) -> Point3

Returns the center

pub fn radius(&self) -> f64

Returns the radius

pub fn include(&self, pt: Point3) -> bool

Returns whether the point pt is on sphere

Trait Implementations

impl BoundedSurface for Sphere

fn parameter_range(&self) -> ((f64, f64), (f64, f64))

The range of the parameter of the surface.

impl Clone for Sphere

fn clone(&self) -> Sphere

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Sphere

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Sphere

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error> where
    __D: Deserializer<'de>, 

Deserialize this value from the given Serde deserializer.

impl IncludeCurve<BSplineCurve<Point3<f64>>> for Sphere

fn include(&self, curve: &BSplineCurve<Point3>) -> bool

Returns whether the curve curve is included in the surface self.

impl IncludeCurve<NURBSCurve<Vector4<f64>>> for Sphere

fn include(&self, curve: &NURBSCurve<Vector4>) -> bool

Returns whether the curve curve is included in the surface self.

impl ParameterDivision2D for Sphere

fn parameter_division(
    &self,
    (urange, vrange): ((f64, f64), (f64, f64)),
    tol: f64
) -> (Vec<f64>, Vec<f64>)

Creates the surface division

impl ParametricSurface for Sphere

type Point = Point3

The surface is in the space of Self::Point.

type Vector = Vector3

The derivation vector of the curve.

fn subs(&self, u: f64, v: f64) -> Point3

Substitutes the parameter (u, v).

fn uder(&self, u: f64, v: f64) -> Vector3

Returns the derivation by u.

fn vder(&self, u: f64, v: f64) -> Vector3

Returns the derivation by v.

fn uuder(&self, u: f64, v: f64) -> Vector3

Returns the 2nd-order derivation by u.

fn uvder(&self, u: f64, v: f64) -> Vector3

Returns the 2nd-order derivation by both u and v.

fn vvder(&self, u: f64, v: f64) -> Vector3

Returns the 2nd-order derivation by v.

impl ParametricSurface3D for Sphere

fn normal(&self, u: f64, v: f64) -> Vector3

Returns the normal vector at (u, v).

impl PartialEq<Sphere> for Sphere

fn eq(&self, other: &Sphere) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Sphere) -> bool

This method tests for !=.

impl SearchNearestParameter for Sphere

type Point = Point3

point

type Parameter = (f64, f64)

curve => f64, surface => (f64, f64)

fn search_nearest_parameter(
    &self,
    point: Point3,
    _: Option<(f64, f64)>,
    _: usize
) -> Option<(f64, f64)>

Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.

impl SearchParameter for Sphere

type Point = Point3

point

type Parameter = (f64, f64)

curve => f64, surface => (f64, f64)

fn search_parameter(
    &self,
    point: Point3,
    hint: Option<(f64, f64)>,
    _: usize
) -> Option<(f64, f64)>

Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.

impl Serialize for Sphere

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error> where
    __S: Serializer, 

Serialize this value into the given Serde serializer.

impl Copy for Sphere

impl StructuralPartialEq for Sphere