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use crate::*;
impl<C, V: Copy> ExtrudedCurve<C, V> {
#[inline(always)]
pub fn by_extrusion(curve: C, vector: V) -> Self { Self { curve, vector } }
#[inline(always)]
pub fn entity_curve(&self) -> &C { &self.curve }
#[inline(always)]
pub fn into_entity_curve(self) -> C { self.curve }
#[inline(always)]
pub fn extruding_vector(&self) -> V { self.vector }
}
impl<C> ParametricSurface for ExtrudedCurve<C, C::Vector>
where
C: ParametricCurve,
C::Point: EuclideanSpace<Scalar = f64, Diff = C::Vector>,
C::Vector: VectorSpace<Scalar = f64>,
{
type Point = C::Point;
type Vector = C::Vector;
#[inline(always)]
fn subs(&self, u: f64, v: f64) -> C::Point { self.curve.subs(u) + self.vector * v }
#[inline(always)]
fn uder(&self, u: f64, _: f64) -> C::Vector { self.curve.der(u) }
#[inline(always)]
fn vder(&self, _: f64, _: f64) -> C::Vector { self.vector }
#[inline(always)]
fn uuder(&self, u: f64, _: f64) -> C::Vector { self.curve.der2(u) }
#[inline(always)]
fn uvder(&self, _: f64, _: f64) -> C::Vector { C::Vector::zero() }
#[inline(always)]
fn vvder(&self, _: f64, _: f64) -> C::Vector { C::Vector::zero() }
}
impl<C: ParametricCurve3D> ParametricSurface3D for ExtrudedCurve<C, Vector3> {
#[inline(always)]
fn normal(&self, u: f64, _: f64) -> C::Vector {
self.curve.der(u).cross(self.vector).normalize()
}
}
impl<C, V> BoundedSurface for ExtrudedCurve<C, V>
where
C: ParametricCurve,
Self: ParametricSurface,
{
#[inline(always)]
fn parameter_range(&self) -> ((f64, f64), (f64, f64)) {
(self.curve.parameter_range(), (0.0, 1.0))
}
}
impl<C: ParameterDivision1D, V> ParameterDivision2D for ExtrudedCurve<C, V> {
#[inline(always)]
fn parameter_division(&self, (urange, vrange): ((f64, f64), (f64, f64)), tol: f64) -> (Vec<f64>, Vec<f64>) {
(self.curve.parameter_division(urange, tol).0, vec![vrange.0, vrange.1])
}
}
impl<C: ParametricCurve2D> SearchParameter for ExtrudedCurve<C, Vector2> {
type Point = Point2;
type Parameter = (f64, f64);
#[inline(always)]
fn search_parameter(&self, point: Point2, hint: Option<(f64, f64)>, trials: usize) -> Option<(f64, f64)> {
let hint = match hint {
Some(hint) => hint,
None => algo::surface::presearch(self, point, self.parameter_range(), PRESEARCH_DIVISION),
};
algo::surface::search_parameter2d(self, point, hint, trials)
}
}
impl<C: ParametricCurve3D> SearchParameter for ExtrudedCurve<C, Vector3> {
type Point = Point3;
type Parameter = (f64, f64);
#[inline(always)]
fn search_parameter(&self, point: Point3, hint: Option<(f64, f64)>, trials: usize) -> Option<(f64, f64)> {
let hint = match hint {
Some(hint) => hint,
None => algo::surface::presearch(self, point, self.parameter_range(), PRESEARCH_DIVISION),
};
algo::surface::search_parameter3d(self, point, hint, trials)
}
}
impl<C: ParametricCurve3D> SearchNearestParameter for ExtrudedCurve<C, Vector3> {
type Point = Point3;
type Parameter = (f64, f64);
#[inline(always)]
fn search_nearest_parameter(&self, point: Point3, hint: Option<(f64, f64)>, trials: usize) -> Option<(f64, f64)> {
let hint = match hint {
Some(hint) => hint,
None => algo::surface::presearch(self, point, self.parameter_range(), PRESEARCH_DIVISION),
};
algo::surface::search_nearest_parameter(self, point, hint, trials)
}
}
#[test]
fn extruded_curve_test() {
let cpts = vec![
Point3::new(0.0, 0.0, 0.0),
Point3::new(0.0, 1.0, 0.0),
Point3::new(1.0, 0.0, 0.0),
];
let spts = vec![
vec![Point3::new(0.0, 0.0, 0.0), Point3::new(0.0, 0.0, 1.0)],
vec![Point3::new(0.0, 1.0, 0.0), Point3::new(0.0, 1.0, 1.0)],
vec![Point3::new(1.0, 0.0, 0.0), Point3::new(1.0, 0.0, 1.0)],
];
let curve = BSplineCurve::new(KnotVec::bezier_knot(2), cpts);
let surface0 = ExtrudedCurve::by_extrusion(curve, Vector3::unit_z());
let surface1 = BSplineSurface::new((KnotVec::bezier_knot(2), KnotVec::bezier_knot(1)), spts);
assert_eq!(surface0.parameter_range(), surface1.parameter_range());
const N: usize = 10;
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;
assert_near!(
surface0.subs(u, v),
ParametricSurface::subs(&surface1, u, v)
);
assert_near!(surface0.uder(u, v), surface1.uder(u, v));
assert_near!(surface0.vder(u, v), surface1.vder(u, v));
assert_near!(surface0.uuder(u, v), surface1.uuder(u, v));
assert_near!(surface0.uvder(u, v), surface1.uvder(u, v));
assert_near!(surface0.vvder(u, v), surface1.vvder(u, v));
assert_near!(surface0.normal(u, v), surface1.normal(u, v));
}
}
}