// todo("windows"): remove
#![cfg_attr(windows, allow(dead_code))]

use crate::{
    bounds_tree::BoundsTree, point, AtlasTextureId, AtlasTile, Bounds, ContentMask, Corners, Edges,
    Hsla, Pixels, Point, Radians, ScaledPixels, Size,
};
use std::{fmt::Debug, iter::Peekable, ops::Range, slice};

#[allow(non_camel_case_types, unused)]
pub(crate) type PathVertex_ScaledPixels = PathVertex<ScaledPixels>;

pub(crate) type DrawOrder = u32;

#[derive(Default)]
pub(crate) struct Scene {
    pub(crate) paint_operations: Vec<PaintOperation>,
    primitive_bounds: BoundsTree<ScaledPixels>,
    layer_stack: Vec<DrawOrder>,
    pub(crate) shadows: Vec<Shadow>,
    pub(crate) quads: Vec<Quad>,
    pub(crate) paths: Vec<Path<ScaledPixels>>,
    pub(crate) underlines: Vec<Underline>,
    pub(crate) monochrome_sprites: Vec<MonochromeSprite>,
    pub(crate) polychrome_sprites: Vec<PolychromeSprite>,
    pub(crate) surfaces: Vec<Surface>,
}

impl Scene {
    pub fn clear(&mut self) {
        self.paint_operations.clear();
        self.primitive_bounds.clear();
        self.layer_stack.clear();
        self.paths.clear();
        self.shadows.clear();
        self.quads.clear();
        self.underlines.clear();
        self.monochrome_sprites.clear();
        self.polychrome_sprites.clear();
        self.surfaces.clear();
    }

    pub fn paths(&self) -> &[Path<ScaledPixels>] {
        &self.paths
    }

    pub fn len(&self) -> usize {
        self.paint_operations.len()
    }

    pub fn push_layer(&mut self, bounds: Bounds<ScaledPixels>) {
        let order = self.primitive_bounds.insert(bounds);
        self.layer_stack.push(order);
        self.paint_operations
            .push(PaintOperation::StartLayer(bounds));
    }

    pub fn pop_layer(&mut self) {
        self.layer_stack.pop();
        self.paint_operations.push(PaintOperation::EndLayer);
    }

    pub fn insert_primitive(&mut self, primitive: impl Into<Primitive>) {
        let mut primitive = primitive.into();
        let clipped_bounds = primitive
            .bounds()
            .intersect(&primitive.content_mask().bounds);

        if clipped_bounds.is_empty() {
            return;
        }

        let order = self
            .layer_stack
            .last()
            .copied()
            .unwrap_or_else(|| self.primitive_bounds.insert(clipped_bounds));
        match &mut primitive {
            Primitive::Shadow(shadow) => {
                shadow.order = order;
                self.shadows.push(shadow.clone());
            }
            Primitive::Quad(quad) => {
                quad.order = order;
                self.quads.push(quad.clone());
            }
            Primitive::Path(path) => {
                path.order = order;
                path.id = PathId(self.paths.len());
                self.paths.push(path.clone());
            }
            Primitive::Underline(underline) => {
                underline.order = order;
                self.underlines.push(underline.clone());
            }
            Primitive::MonochromeSprite(sprite) => {
                sprite.order = order;
                self.monochrome_sprites.push(sprite.clone());
            }
            Primitive::PolychromeSprite(sprite) => {
                sprite.order = order;
                self.polychrome_sprites.push(sprite.clone());
            }
            Primitive::Surface(surface) => {
                surface.order = order;
                self.surfaces.push(surface.clone());
            }
        }
        self.paint_operations
            .push(PaintOperation::Primitive(primitive));
    }

    pub fn replay(&mut self, range: Range<usize>, prev_scene: &Scene) {
        for operation in &prev_scene.paint_operations[range] {
            match operation {
                PaintOperation::Primitive(primitive) => self.insert_primitive(primitive.clone()),
                PaintOperation::StartLayer(bounds) => self.push_layer(*bounds),
                PaintOperation::EndLayer => self.pop_layer(),
            }
        }
    }

    pub fn finish(&mut self) {
        self.shadows.sort();
        self.quads.sort();
        self.paths.sort();
        self.underlines.sort();
        self.monochrome_sprites.sort();
        self.polychrome_sprites.sort();
        self.surfaces.sort();
    }

    pub(crate) fn batches(&self) -> impl Iterator<Item = PrimitiveBatch> {
        BatchIterator {
            shadows: &self.shadows,
            shadows_start: 0,
            shadows_iter: self.shadows.iter().peekable(),
            quads: &self.quads,
            quads_start: 0,
            quads_iter: self.quads.iter().peekable(),
            paths: &self.paths,
            paths_start: 0,
            paths_iter: self.paths.iter().peekable(),
            underlines: &self.underlines,
            underlines_start: 0,
            underlines_iter: self.underlines.iter().peekable(),
            monochrome_sprites: &self.monochrome_sprites,
            monochrome_sprites_start: 0,
            monochrome_sprites_iter: self.monochrome_sprites.iter().peekable(),
            polychrome_sprites: &self.polychrome_sprites,
            polychrome_sprites_start: 0,
            polychrome_sprites_iter: self.polychrome_sprites.iter().peekable(),
            surfaces: &self.surfaces,
            surfaces_start: 0,
            surfaces_iter: self.surfaces.iter().peekable(),
        }
    }
}

#[derive(Clone, Copy, Debug, Eq, PartialEq, Ord, PartialOrd, Default)]
pub(crate) enum PrimitiveKind {
    Shadow,
    #[default]
    Quad,
    Path,
    Underline,
    MonochromeSprite,
    PolychromeSprite,
    Surface,
}

pub(crate) enum PaintOperation {
    Primitive(Primitive),
    StartLayer(Bounds<ScaledPixels>),
    EndLayer,
}

#[derive(Clone, Ord, PartialOrd, Eq, PartialEq)]
pub(crate) enum Primitive {
    Shadow(Shadow),
    Quad(Quad),
    Path(Path<ScaledPixels>),
    Underline(Underline),
    MonochromeSprite(MonochromeSprite),
    PolychromeSprite(PolychromeSprite),
    Surface(Surface),
}

impl Primitive {
    pub fn bounds(&self) -> &Bounds<ScaledPixels> {
        match self {
            Primitive::Shadow(shadow) => &shadow.bounds,
            Primitive::Quad(quad) => &quad.bounds,
            Primitive::Path(path) => &path.bounds,
            Primitive::Underline(underline) => &underline.bounds,
            Primitive::MonochromeSprite(sprite) => &sprite.bounds,
            Primitive::PolychromeSprite(sprite) => &sprite.bounds,
            Primitive::Surface(surface) => &surface.bounds,
        }
    }

    pub fn content_mask(&self) -> &ContentMask<ScaledPixels> {
        match self {
            Primitive::Shadow(shadow) => &shadow.content_mask,
            Primitive::Quad(quad) => &quad.content_mask,
            Primitive::Path(path) => &path.content_mask,
            Primitive::Underline(underline) => &underline.content_mask,
            Primitive::MonochromeSprite(sprite) => &sprite.content_mask,
            Primitive::PolychromeSprite(sprite) => &sprite.content_mask,
            Primitive::Surface(surface) => &surface.content_mask,
        }
    }
}

struct BatchIterator<'a> {
    shadows: &'a [Shadow],
    shadows_start: usize,
    shadows_iter: Peekable<slice::Iter<'a, Shadow>>,
    quads: &'a [Quad],
    quads_start: usize,
    quads_iter: Peekable<slice::Iter<'a, Quad>>,
    paths: &'a [Path<ScaledPixels>],
    paths_start: usize,
    paths_iter: Peekable<slice::Iter<'a, Path<ScaledPixels>>>,
    underlines: &'a [Underline],
    underlines_start: usize,
    underlines_iter: Peekable<slice::Iter<'a, Underline>>,
    monochrome_sprites: &'a [MonochromeSprite],
    monochrome_sprites_start: usize,
    monochrome_sprites_iter: Peekable<slice::Iter<'a, MonochromeSprite>>,
    polychrome_sprites: &'a [PolychromeSprite],
    polychrome_sprites_start: usize,
    polychrome_sprites_iter: Peekable<slice::Iter<'a, PolychromeSprite>>,
    surfaces: &'a [Surface],
    surfaces_start: usize,
    surfaces_iter: Peekable<slice::Iter<'a, Surface>>,
}

impl<'a> Iterator for BatchIterator<'a> {
    type Item = PrimitiveBatch<'a>;

    fn next(&mut self) -> Option<Self::Item> {
        let mut orders_and_kinds = [
            (
                self.shadows_iter.peek().map(|s| s.order),
                PrimitiveKind::Shadow,
            ),
            (self.quads_iter.peek().map(|q| q.order), PrimitiveKind::Quad),
            (self.paths_iter.peek().map(|q| q.order), PrimitiveKind::Path),
            (
                self.underlines_iter.peek().map(|u| u.order),
                PrimitiveKind::Underline,
            ),
            (
                self.monochrome_sprites_iter.peek().map(|s| s.order),
                PrimitiveKind::MonochromeSprite,
            ),
            (
                self.polychrome_sprites_iter.peek().map(|s| s.order),
                PrimitiveKind::PolychromeSprite,
            ),
            (
                self.surfaces_iter.peek().map(|s| s.order),
                PrimitiveKind::Surface,
            ),
        ];
        orders_and_kinds.sort_by_key(|(order, kind)| (order.unwrap_or(u32::MAX), *kind));

        let first = orders_and_kinds[0];
        let second = orders_and_kinds[1];
        let (batch_kind, max_order_and_kind) = if first.0.is_some() {
            (first.1, (second.0.unwrap_or(u32::MAX), second.1))
        } else {
            return None;
        };

        match batch_kind {
            PrimitiveKind::Shadow => {
                let shadows_start = self.shadows_start;
                let mut shadows_end = shadows_start + 1;
                self.shadows_iter.next();
                while self
                    .shadows_iter
                    .next_if(|shadow| (shadow.order, batch_kind) < max_order_and_kind)
                    .is_some()
                {
                    shadows_end += 1;
                }
                self.shadows_start = shadows_end;
                Some(PrimitiveBatch::Shadows(
                    &self.shadows[shadows_start..shadows_end],
                ))
            }
            PrimitiveKind::Quad => {
                let quads_start = self.quads_start;
                let mut quads_end = quads_start + 1;
                self.quads_iter.next();
                while self
                    .quads_iter
                    .next_if(|quad| (quad.order, batch_kind) < max_order_and_kind)
                    .is_some()
                {
                    quads_end += 1;
                }
                self.quads_start = quads_end;
                Some(PrimitiveBatch::Quads(&self.quads[quads_start..quads_end]))
            }
            PrimitiveKind::Path => {
                let paths_start = self.paths_start;
                let mut paths_end = paths_start + 1;
                self.paths_iter.next();
                while self
                    .paths_iter
                    .next_if(|path| (path.order, batch_kind) < max_order_and_kind)
                    .is_some()
                {
                    paths_end += 1;
                }
                self.paths_start = paths_end;
                Some(PrimitiveBatch::Paths(&self.paths[paths_start..paths_end]))
            }
            PrimitiveKind::Underline => {
                let underlines_start = self.underlines_start;
                let mut underlines_end = underlines_start + 1;
                self.underlines_iter.next();
                while self
                    .underlines_iter
                    .next_if(|underline| (underline.order, batch_kind) < max_order_and_kind)
                    .is_some()
                {
                    underlines_end += 1;
                }
                self.underlines_start = underlines_end;
                Some(PrimitiveBatch::Underlines(
                    &self.underlines[underlines_start..underlines_end],
                ))
            }
            PrimitiveKind::MonochromeSprite => {
                let texture_id = self.monochrome_sprites_iter.peek().unwrap().tile.texture_id;
                let sprites_start = self.monochrome_sprites_start;
                let mut sprites_end = sprites_start + 1;
                self.monochrome_sprites_iter.next();
                while self
                    .monochrome_sprites_iter
                    .next_if(|sprite| {
                        (sprite.order, batch_kind) < max_order_and_kind
                            && sprite.tile.texture_id == texture_id
                    })
                    .is_some()
                {
                    sprites_end += 1;
                }
                self.monochrome_sprites_start = sprites_end;
                Some(PrimitiveBatch::MonochromeSprites {
                    texture_id,
                    sprites: &self.monochrome_sprites[sprites_start..sprites_end],
                })
            }
            PrimitiveKind::PolychromeSprite => {
                let texture_id = self.polychrome_sprites_iter.peek().unwrap().tile.texture_id;
                let sprites_start = self.polychrome_sprites_start;
                let mut sprites_end = self.polychrome_sprites_start + 1;
                self.polychrome_sprites_iter.next();
                while self
                    .polychrome_sprites_iter
                    .next_if(|sprite| {
                        (sprite.order, batch_kind) < max_order_and_kind
                            && sprite.tile.texture_id == texture_id
                    })
                    .is_some()
                {
                    sprites_end += 1;
                }
                self.polychrome_sprites_start = sprites_end;
                Some(PrimitiveBatch::PolychromeSprites {
                    texture_id,
                    sprites: &self.polychrome_sprites[sprites_start..sprites_end],
                })
            }
            PrimitiveKind::Surface => {
                let surfaces_start = self.surfaces_start;
                let mut surfaces_end = surfaces_start + 1;
                self.surfaces_iter.next();
                while self
                    .surfaces_iter
                    .next_if(|surface| (surface.order, batch_kind) < max_order_and_kind)
                    .is_some()
                {
                    surfaces_end += 1;
                }
                self.surfaces_start = surfaces_end;
                Some(PrimitiveBatch::Surfaces(
                    &self.surfaces[surfaces_start..surfaces_end],
                ))
            }
        }
    }
}

#[derive(Debug)]
pub(crate) enum PrimitiveBatch<'a> {
    Shadows(&'a [Shadow]),
    Quads(&'a [Quad]),
    Paths(&'a [Path<ScaledPixels>]),
    Underlines(&'a [Underline]),
    MonochromeSprites {
        texture_id: AtlasTextureId,
        sprites: &'a [MonochromeSprite],
    },
    PolychromeSprites {
        texture_id: AtlasTextureId,
        sprites: &'a [PolychromeSprite],
    },
    Surfaces(&'a [Surface]),
}

#[derive(Default, Debug, Clone, Eq, PartialEq)]
#[repr(C)]
pub(crate) struct Quad {
    pub order: DrawOrder,
    pub pad: u32, // align to 8 bytes
    pub bounds: Bounds<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    pub background: Hsla,
    pub border_color: Hsla,
    pub corner_radii: Corners<ScaledPixels>,
    pub border_widths: Edges<ScaledPixels>,
}

impl Ord for Quad {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.order.cmp(&other.order)
    }
}

impl PartialOrd for Quad {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<Quad> for Primitive {
    fn from(quad: Quad) -> Self {
        Primitive::Quad(quad)
    }
}

#[derive(Debug, Clone, Eq, PartialEq)]
#[repr(C)]
pub(crate) struct Underline {
    pub order: DrawOrder,
    pub pad: u32, // align to 8 bytes
    pub bounds: Bounds<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    pub color: Hsla,
    pub thickness: ScaledPixels,
    pub wavy: bool,
}

impl Ord for Underline {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.order.cmp(&other.order)
    }
}

impl PartialOrd for Underline {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<Underline> for Primitive {
    fn from(underline: Underline) -> Self {
        Primitive::Underline(underline)
    }
}

#[derive(Debug, Clone, Eq, PartialEq)]
#[repr(C)]
pub(crate) struct Shadow {
    pub order: DrawOrder,
    pub blur_radius: ScaledPixels,
    pub bounds: Bounds<ScaledPixels>,
    pub corner_radii: Corners<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    pub color: Hsla,
}

impl Ord for Shadow {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.order.cmp(&other.order)
    }
}

impl PartialOrd for Shadow {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<Shadow> for Primitive {
    fn from(shadow: Shadow) -> Self {
        Primitive::Shadow(shadow)
    }
}

/// A data type representing a 2 dimensional transformation that can be applied to an element.
#[derive(Debug, Clone, Copy, PartialEq)]
#[repr(C)]
pub struct TransformationMatrix {
    /// 2x2 matrix containing rotation and scale,
    /// stored row-major
    pub rotation_scale: [[f32; 2]; 2],
    /// translation vector
    pub translation: [f32; 2],
}

impl Eq for TransformationMatrix {}

impl TransformationMatrix {
    /// The unit matrix, has no effect.
    pub fn unit() -> Self {
        Self {
            rotation_scale: [[1.0, 0.0], [0.0, 1.0]],
            translation: [0.0, 0.0],
        }
    }

    /// Move the origin by a given point
    pub fn translate(mut self, point: Point<ScaledPixels>) -> Self {
        self.compose(Self {
            rotation_scale: [[1.0, 0.0], [0.0, 1.0]],
            translation: [point.x.0, point.y.0],
        })
    }

    /// Clockwise rotation in radians around the origin
    pub fn rotate(self, angle: Radians) -> Self {
        self.compose(Self {
            rotation_scale: [
                [angle.0.cos(), -angle.0.sin()],
                [angle.0.sin(), angle.0.cos()],
            ],
            translation: [0.0, 0.0],
        })
    }

    /// Scale around the origin
    pub fn scale(self, size: Size<f32>) -> Self {
        self.compose(Self {
            rotation_scale: [[size.width, 0.0], [0.0, size.height]],
            translation: [0.0, 0.0],
        })
    }

    /// Perform matrix multiplication with another transformation
    /// to produce a new transformation that is the result of
    /// applying both transformations: first, `other`, then `self`.
    #[inline]
    pub fn compose(self, other: TransformationMatrix) -> TransformationMatrix {
        if other == Self::unit() {
            return self;
        }
        // Perform matrix multiplication
        TransformationMatrix {
            rotation_scale: [
                [
                    self.rotation_scale[0][0] * other.rotation_scale[0][0]
                        + self.rotation_scale[0][1] * other.rotation_scale[1][0],
                    self.rotation_scale[0][0] * other.rotation_scale[0][1]
                        + self.rotation_scale[0][1] * other.rotation_scale[1][1],
                ],
                [
                    self.rotation_scale[1][0] * other.rotation_scale[0][0]
                        + self.rotation_scale[1][1] * other.rotation_scale[1][0],
                    self.rotation_scale[1][0] * other.rotation_scale[0][1]
                        + self.rotation_scale[1][1] * other.rotation_scale[1][1],
                ],
            ],
            translation: [
                self.translation[0]
                    + self.rotation_scale[0][0] * other.translation[0]
                    + self.rotation_scale[0][1] * other.translation[1],
                self.translation[1]
                    + self.rotation_scale[1][0] * other.translation[0]
                    + self.rotation_scale[1][1] * other.translation[1],
            ],
        }
    }

    /// Apply transformation to a point, mainly useful for debugging
    pub fn apply(&self, point: Point<Pixels>) -> Point<Pixels> {
        let input = [point.x.0, point.y.0];
        let mut output = self.translation;
        for i in 0..2 {
            for k in 0..2 {
                output[i] += self.rotation_scale[i][k] * input[k];
            }
        }
        Point::new(output[0].into(), output[1].into())
    }
}

impl Default for TransformationMatrix {
    fn default() -> Self {
        Self::unit()
    }
}

#[derive(Clone, Debug, Eq, PartialEq)]
#[repr(C)]
pub(crate) struct MonochromeSprite {
    pub order: DrawOrder,
    pub pad: u32, // align to 8 bytes
    pub bounds: Bounds<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    pub color: Hsla,
    pub tile: AtlasTile,
    pub transformation: TransformationMatrix,
}

impl Ord for MonochromeSprite {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        match self.order.cmp(&other.order) {
            std::cmp::Ordering::Equal => self.tile.tile_id.cmp(&other.tile.tile_id),
            order => order,
        }
    }
}

impl PartialOrd for MonochromeSprite {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<MonochromeSprite> for Primitive {
    fn from(sprite: MonochromeSprite) -> Self {
        Primitive::MonochromeSprite(sprite)
    }
}

#[derive(Clone, Debug, Eq, PartialEq)]
#[repr(C)]
pub(crate) struct PolychromeSprite {
    pub order: DrawOrder,
    pub grayscale: bool,
    pub bounds: Bounds<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    pub corner_radii: Corners<ScaledPixels>,
    pub tile: AtlasTile,
}

impl Ord for PolychromeSprite {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        match self.order.cmp(&other.order) {
            std::cmp::Ordering::Equal => self.tile.tile_id.cmp(&other.tile.tile_id),
            order => order,
        }
    }
}

impl PartialOrd for PolychromeSprite {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<PolychromeSprite> for Primitive {
    fn from(sprite: PolychromeSprite) -> Self {
        Primitive::PolychromeSprite(sprite)
    }
}

#[derive(Clone, Debug, Eq, PartialEq)]
pub(crate) struct Surface {
    pub order: DrawOrder,
    pub bounds: Bounds<ScaledPixels>,
    pub content_mask: ContentMask<ScaledPixels>,
    #[cfg(target_os = "macos")]
    pub image_buffer: media::core_video::CVImageBuffer,
}

impl Ord for Surface {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.order.cmp(&other.order)
    }
}

impl PartialOrd for Surface {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<Surface> for Primitive {
    fn from(surface: Surface) -> Self {
        Primitive::Surface(surface)
    }
}

#[derive(Copy, Clone, Debug, PartialEq, Eq, Hash)]
pub(crate) struct PathId(pub(crate) usize);

/// A line made up of a series of vertices and control points.
#[derive(Clone, Debug)]
pub struct Path<P: Clone + Default + Debug> {
    pub(crate) id: PathId,
    order: DrawOrder,
    pub(crate) bounds: Bounds<P>,
    pub(crate) content_mask: ContentMask<P>,
    pub(crate) vertices: Vec<PathVertex<P>>,
    pub(crate) color: Hsla,
    start: Point<P>,
    current: Point<P>,
    contour_count: usize,
}

impl Path<Pixels> {
    /// Create a new path with the given starting point.
    pub fn new(start: Point<Pixels>) -> Self {
        Self {
            id: PathId(0),
            order: DrawOrder::default(),
            vertices: Vec::new(),
            start,
            current: start,
            bounds: Bounds {
                origin: start,
                size: Default::default(),
            },
            content_mask: Default::default(),
            color: Default::default(),
            contour_count: 0,
        }
    }

    /// Scale this path by the given factor.
    pub fn scale(&self, factor: f32) -> Path<ScaledPixels> {
        Path {
            id: self.id,
            order: self.order,
            bounds: self.bounds.scale(factor),
            content_mask: self.content_mask.scale(factor),
            vertices: self
                .vertices
                .iter()
                .map(|vertex| vertex.scale(factor))
                .collect(),
            start: self.start.map(|start| start.scale(factor)),
            current: self.current.scale(factor),
            contour_count: self.contour_count,
            color: self.color,
        }
    }

    /// Draw a straight line from the current point to the given point.
    pub fn line_to(&mut self, to: Point<Pixels>) {
        self.contour_count += 1;
        if self.contour_count > 1 {
            self.push_triangle(
                (self.start, self.current, to),
                (point(0., 1.), point(0., 1.), point(0., 1.)),
            );
        }
        self.current = to;
    }

    /// Draw a curve from the current point to the given point, using the given control point.
    pub fn curve_to(&mut self, to: Point<Pixels>, ctrl: Point<Pixels>) {
        self.contour_count += 1;
        if self.contour_count > 1 {
            self.push_triangle(
                (self.start, self.current, to),
                (point(0., 1.), point(0., 1.), point(0., 1.)),
            );
        }

        self.push_triangle(
            (self.current, ctrl, to),
            (point(0., 0.), point(0.5, 0.), point(1., 1.)),
        );
        self.current = to;
    }

    fn push_triangle(
        &mut self,
        xy: (Point<Pixels>, Point<Pixels>, Point<Pixels>),
        st: (Point<f32>, Point<f32>, Point<f32>),
    ) {
        self.bounds = self
            .bounds
            .union(&Bounds {
                origin: xy.0,
                size: Default::default(),
            })
            .union(&Bounds {
                origin: xy.1,
                size: Default::default(),
            })
            .union(&Bounds {
                origin: xy.2,
                size: Default::default(),
            });

        self.vertices.push(PathVertex {
            xy_position: xy.0,
            st_position: st.0,
            content_mask: Default::default(),
        });
        self.vertices.push(PathVertex {
            xy_position: xy.1,
            st_position: st.1,
            content_mask: Default::default(),
        });
        self.vertices.push(PathVertex {
            xy_position: xy.2,
            st_position: st.2,
            content_mask: Default::default(),
        });
    }
}

impl Eq for Path<ScaledPixels> {}

impl PartialEq for Path<ScaledPixels> {
    fn eq(&self, other: &Self) -> bool {
        self.order == other.order
    }
}

impl Ord for Path<ScaledPixels> {
    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
        self.order.cmp(&other.order)
    }
}

impl PartialOrd for Path<ScaledPixels> {
    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
        Some(self.cmp(other))
    }
}

impl From<Path<ScaledPixels>> for Primitive {
    fn from(path: Path<ScaledPixels>) -> Self {
        Primitive::Path(path)
    }
}

#[derive(Clone, Debug)]
#[repr(C)]
pub(crate) struct PathVertex<P: Clone + Default + Debug> {
    pub(crate) xy_position: Point<P>,
    pub(crate) st_position: Point<f32>,
    pub(crate) content_mask: ContentMask<P>,
}

impl PathVertex<Pixels> {
    pub fn scale(&self, factor: f32) -> PathVertex<ScaledPixels> {
        PathVertex {
            xy_position: self.xy_position.scale(factor),
            st_position: self.st_position,
            content_mask: self.content_mask.scale(factor),
        }
    }
}
