pub struct GlobalEdge { /* private fields */ }
Expand description

An edge, defined in global (3D) coordinates

In contract to HalfEdge, GlobalEdge is undirected, meaning it has no defined direction, and its vertices have no defined order. This means it can be used to determine whether two HalfEdges map to the same GlobalEdge, regardless of their direction.

Implementations§

Create a new instance

The order of vertices is irrelevant. Two GlobalEdges with the same curve and vertices will end up being equal, regardless of the order of vertices here.

Examples found in repository?
src/partial/objects/edge.rs (line 143)
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    fn build(self, objects: &mut Service<Objects>) -> Self::Full {
        let curve = self.curve.build(objects);
        let vertices = self.vertices.map(|vertex| vertex.build(objects));

        GlobalEdge::new(curve, vertices)
    }
More examples
Hide additional examples
src/algorithms/transform/edge.rs (line 45)
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    fn transform_with_cache(
        self,
        transform: &Transform,
        objects: &mut Service<Objects>,
        cache: &mut TransformCache,
    ) -> Self {
        let curve = self
            .curve()
            .clone()
            .transform_with_cache(transform, objects, cache);
        let vertices =
            self.vertices().access_in_normalized_order().map(|vertex| {
                vertex.transform_with_cache(transform, objects, cache)
            });

        Self::new(curve, vertices)
    }
src/algorithms/sweep/vertex.rs (line 145)
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    fn sweep_with_cache(
        self,
        path: impl Into<Vector<3>>,
        cache: &mut SweepCache,
        objects: &mut Service<Objects>,
    ) -> Self::Swept {
        let curve = GlobalCurve.insert(objects);

        let a = self.clone();
        let b = cache
            .global_vertex
            .entry(self.id())
            .or_insert_with(|| {
                GlobalVertex::new(self.position() + path.into()).insert(objects)
            })
            .clone();

        let vertices = [a, b];
        let global_edge =
            GlobalEdge::new(curve, vertices.clone()).insert(objects);

        // The vertices of the returned `GlobalEdge` are in normalized order,
        // which means the order can't be relied upon by the caller. Return the
        // ordered vertices in addition.
        (global_edge, vertices)
    }
src/algorithms/sweep/edge.rs (lines 126-131)
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    fn sweep_with_cache(
        self,
        path: impl Into<Vector<3>>,
        cache: &mut SweepCache,
        objects: &mut Service<Objects>,
    ) -> Self::Swept {
        let (edge, color) = self;
        let path = path.into();

        let surface =
            edge.curve().clone().sweep_with_cache(path, cache, objects);

        // We can't use the edge we're sweeping from as the bottom edge, as that
        // is not defined in the right surface. Let's create a new bottom edge,
        // by swapping the surface of the original.
        let bottom_edge = {
            let vertices = edge.vertices();

            let points_curve_and_surface = vertices.clone().map(|vertex| {
                (vertex.position(), [vertex.position().t, Scalar::ZERO])
            });

            let curve = {
                // Please note that creating a line here is correct, even if the
                // global curve is a circle. Projected into the side surface, it
                // is going to be a line either way.
                let path =
                    SurfacePath::Line(Line::from_points_with_line_coords(
                        points_curve_and_surface,
                    ));

                Curve::new(
                    surface.clone(),
                    path,
                    edge.curve().global_form().clone(),
                )
                .insert(objects)
            };

            let vertices = {
                let points_surface = points_curve_and_surface
                    .map(|(_, point_surface)| point_surface);

                vertices
                    .each_ref_ext()
                    .into_iter_fixed()
                    .zip(points_surface)
                    .collect::<[_; 2]>()
                    .map(|(vertex, point_surface)| {
                        let surface_vertex = SurfaceVertex::new(
                            point_surface,
                            surface.clone(),
                            vertex.global_form().clone(),
                        )
                        .insert(objects);

                        Vertex::new(
                            vertex.position(),
                            curve.clone(),
                            surface_vertex,
                        )
                        .insert(objects)
                    })
            };

            HalfEdge::new(vertices, edge.global_form().clone()).insert(objects)
        };

        let side_edges = bottom_edge.vertices().clone().map(|vertex| {
            (vertex, surface.clone()).sweep_with_cache(path, cache, objects)
        });

        let top_edge = {
            let bottom_vertices = bottom_edge.vertices();

            let surface_vertices = side_edges.clone().map(|edge| {
                let [_, vertex] = edge.vertices();
                vertex.surface_form().clone()
            });

            let points_curve_and_surface =
                bottom_vertices.clone().map(|vertex| {
                    (vertex.position(), [vertex.position().t, Scalar::ONE])
                });

            let curve = {
                let global = bottom_edge
                    .curve()
                    .global_form()
                    .clone()
                    .translate(path, objects);

                // Please note that creating a line here is correct, even if the
                // global curve is a circle. Projected into the side surface, it
                // is going to be a line either way.
                let path =
                    SurfacePath::Line(Line::from_points_with_line_coords(
                        points_curve_and_surface,
                    ));

                Curve::new(surface, path, global).insert(objects)
            };

            let global = GlobalEdge::new(
                curve.global_form().clone(),
                surface_vertices
                    .clone()
                    .map(|surface_vertex| surface_vertex.global_form().clone()),
            )
            .insert(objects);

            let vertices = bottom_vertices
                .each_ref_ext()
                .into_iter_fixed()
                .zip(surface_vertices)
                .collect::<[_; 2]>()
                .map(|(vertex, surface_form)| {
                    Vertex::new(vertex.position(), curve.clone(), surface_form)
                        .insert(objects)
                });

            HalfEdge::new(vertices, global).insert(objects)
        };

        let cycle = {
            let a = bottom_edge;
            let [d, b] = side_edges;
            let c = top_edge;

            let mut edges = [a, b, c, d];

            // Make sure that edges are oriented correctly.
            let mut i = 0;
            while i < edges.len() {
                let j = (i + 1) % edges.len();

                let [_, prev_last] = edges[i].vertices();
                let [next_first, _] = edges[j].vertices();

                // Need to compare surface forms here, as the global forms might
                // be coincident when sweeping circles, despite the vertices
                // being different!
                if prev_last.surface_form().id()
                    != next_first.surface_form().id()
                {
                    edges[j] = edges[j].clone().reverse(objects);
                }

                i += 1;
            }

            Cycle::new(edges).insert(objects)
        };

        let face = PartialFace {
            exterior: Partial::from(cycle),
            color: Some(color),
            ..Default::default()
        };
        face.build(objects).insert(objects)
    }

Access the curve that defines the edge’s geometry

Examples found in repository?
src/partial/objects/edge.rs (line 131)
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    fn from_full(
        global_edge: &Self::Full,
        cache: &mut FullToPartialCache,
    ) -> Self {
        Self {
            curve: Partial::from_full(global_edge.curve().clone(), cache),
            vertices: global_edge
                .vertices()
                .access_in_normalized_order()
                .map(|vertex| Partial::from_full(vertex, cache)),
        }
    }
More examples
Hide additional examples
src/algorithms/transform/edge.rs (line 37)
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    fn transform_with_cache(
        self,
        transform: &Transform,
        objects: &mut Service<Objects>,
        cache: &mut TransformCache,
    ) -> Self {
        let curve = self
            .curve()
            .clone()
            .transform_with_cache(transform, objects, cache);
        let vertices =
            self.vertices().access_in_normalized_order().map(|vertex| {
                vertex.transform_with_cache(transform, objects, cache)
            });

        Self::new(curve, vertices)
    }
src/validate/edge.rs (line 131)
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    fn check_global_curve_identity(half_edge: &HalfEdge) -> Result<(), Self> {
        let global_curve_from_curve = half_edge.curve().global_form();
        let global_curve_from_global_form = half_edge.global_form().curve();

        if global_curve_from_curve.id() != global_curve_from_global_form.id() {
            return Err(Self::GlobalCurveMismatch {
                global_curve_from_curve: global_curve_from_curve.clone(),
                global_curve_from_global_form: global_curve_from_global_form
                    .clone(),
            });
        }

        Ok(())
    }
src/algorithms/sweep/vertex.rs (line 92)
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    fn sweep_with_cache(
        self,
        path: impl Into<Vector<3>>,
        cache: &mut SweepCache,
        objects: &mut Service<Objects>,
    ) -> Self::Swept {
        let (vertex, surface) = self;
        let path = path.into();

        // The result of sweeping a `Vertex` is an `Edge`. Seems
        // straight-forward at first, but there are some subtleties we need to
        // understand:
        //
        // 1. To create an `Edge`, we need the `Curve` that defines it. A
        //    `Curve` is defined in a `Surface`, and we're going to need that to
        //    create the `Curve`. Which is why this `Sweep` implementation is
        //    for `(Vertex, Surface)`, and not just for `Vertex`.
        // 2. Please note that, while the output `Edge` has two vertices, our
        //    input `Vertex` is not one of them! It can't be, unless the `Curve`
        //    of the output `Edge` happens to be the same `Curve` that the input
        //    `Vertex` is defined on. That would be an edge case that probably
        //    can't result in anything valid, and we're going to ignore it for
        //    now.
        // 3. This means, we have to compute everything that defines the
        //    output `Edge`: The `Curve`, the vertices, and the `GlobalCurve`.
        //
        // Before we get to that though, let's make sure that whoever called
        // this didn't give us bad input.

        // So, we're supposed to create the `Edge` by sweeping a `Vertex` using
        // `path`. Unless `path` is identical to the path that created the
        // `Surface`, this doesn't make any sense. Let's make sure this
        // requirement is met.
        //
        // Further, the `Curve` that was swept to create the `Surface` needs to
        // be the same `Curve` that the input `Vertex` is defined on. If it's
        // not, we have no way of knowing the surface coordinates of the input
        // `Vertex` on the `Surface`, and we're going to need to do that further
        // down. There's no way to check for that, unfortunately.
        assert_eq!(path, surface.geometry().v);

        // With that out of the way, let's start by creating the `GlobalEdge`,
        // as that is the most straight-forward part of this operations, and
        // we're going to need it soon anyway.
        let (edge_global, vertices_global) = vertex
            .global_form()
            .clone()
            .sweep_with_cache(path, cache, objects);

        // Next, let's compute the surface coordinates of the two vertices of
        // the output `Edge`, as we're going to need these for the rest of this
        // operation.
        //
        // They both share a u-coordinate, which is the t-coordinate of our
        // input `Vertex`. Remember, we validated above, that the `Curve` of the
        // `Surface` and the curve of the input `Vertex` are the same, so we can
        // do that.
        //
        // Now remember what we also validated above: That `path`, which we're
        // using to create the output `Edge`, also created the `Surface`, and
        // thereby defined its coordinate system. That makes the v-coordinates
        // straight-forward: The start of the edge is at zero, the end is at
        // one.
        let points_surface = [
            Point::from([vertex.position().t, Scalar::ZERO]),
            Point::from([vertex.position().t, Scalar::ONE]),
        ];

        // Armed with those coordinates, creating the `Curve` of the output
        // `Edge` is straight-forward.
        let curve = {
            let (path, _) = SurfacePath::line_from_points(points_surface);

            Curve::new(surface.clone(), path, edge_global.curve().clone())
                .insert(objects)
        };

        let vertices_surface = {
            let [_, position] = points_surface;
            let [_, global_form] = vertices_global;

            [
                vertex.surface_form().clone(),
                SurfaceVertex::new(position, surface, global_form)
                    .insert(objects),
            ]
        };

        // And now the vertices. Again, nothing wild here.
        let vertices = vertices_surface.map(|surface_form| {
            Vertex::new(
                [surface_form.position().v],
                curve.clone(),
                surface_form,
            )
            .insert(objects)
        });

        // And finally, creating the output `Edge` is just a matter of
        // assembling the pieces we've already created.
        HalfEdge::new(vertices, edge_global).insert(objects)
    }

Access the vertices that bound the edge on the curve

As the name indicates, the order of the returned vertices is normalized and might not match the order of the vertices that were passed to GlobalEdge::new. You must not rely on the vertices being in any specific order.

Examples found in repository?
src/partial/objects/edge.rs (line 133)
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    fn from_full(
        global_edge: &Self::Full,
        cache: &mut FullToPartialCache,
    ) -> Self {
        Self {
            curve: Partial::from_full(global_edge.curve().clone(), cache),
            vertices: global_edge
                .vertices()
                .access_in_normalized_order()
                .map(|vertex| Partial::from_full(vertex, cache)),
        }
    }
More examples
Hide additional examples
src/algorithms/transform/edge.rs (line 41)
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    fn transform_with_cache(
        self,
        transform: &Transform,
        objects: &mut Service<Objects>,
        cache: &mut TransformCache,
    ) -> Self {
        let curve = self
            .curve()
            .clone()
            .transform_with_cache(transform, objects, cache);
        let vertices =
            self.vertices().access_in_normalized_order().map(|vertex| {
                vertex.transform_with_cache(transform, objects, cache)
            });

        Self::new(curve, vertices)
    }
src/validate/edge.rs (line 158)
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    fn check_global_vertex_identity(half_edge: &HalfEdge) -> Result<(), Self> {
        let global_vertices_from_vertices = {
            let (global_vertices_from_vertices, _) =
                VerticesInNormalizedOrder::new(
                    half_edge
                        .vertices()
                        .each_ref_ext()
                        .map(|vertex| vertex.global_form().clone()),
                );

            global_vertices_from_vertices.access_in_normalized_order()
        };
        let global_vertices_from_global_form = half_edge
            .global_form()
            .vertices()
            .access_in_normalized_order();

        let ids_from_vertices = global_vertices_from_vertices
            .each_ref_ext()
            .map(|global_vertex| global_vertex.id());
        let ids_from_global_form = global_vertices_from_global_form
            .each_ref_ext()
            .map(|global_vertex| global_vertex.id());

        if ids_from_vertices != ids_from_global_form {
            return Err(Self::GlobalVertexMismatch {
                global_vertices_from_vertices,
                global_vertices_from_global_form,
            });
        }

        Ok(())
    }

Trait Implementations§

Returns a copy of the value. Read more
Performs copy-assignment from source. Read more
Formats the value using the given formatter. Read more
Converts to this type from the input type.
The type representing the partial variant of this object
Feeds this value into the given Hasher. Read more
Feeds a slice of this type into the given Hasher. Read more
Insert the object into its respective store
This method returns an Ordering between self and other. Read more
Compares and returns the maximum of two values. Read more
Compares and returns the minimum of two values. Read more
Restrict a value to a certain interval. Read more
This method tests for self and other values to be equal, and is used by ==.
This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
This method returns an ordering between self and other values if one exists. Read more
This method tests less than (for self and other) and is used by the < operator. Read more
This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
This method tests greater than (for self and other) and is used by the > operator. Read more
This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
Transform the object using the provided cache
Transform the object
Translate the object Read more
Rotate the object Read more
The error that validation of the implementing type can result in
Validate the object
Validate the object using default configuration

Auto Trait Implementations§

Blanket Implementations§

Gets the TypeId of self. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more
Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Should always be Self
The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
Checks if self is actually part of its subset T (and can be converted to it).
Use with care! Same as self.to_subset but without any property checks. Always succeeds.
The inclusion map: converts self to the equivalent element of its superset.
The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. Read more
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Performs the conversion.
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Performs the conversion.