use std::f64::consts::PI;

use crate::prelude::*;

/// A closed polygon.
///
/// The polygon is defined by its corner points and is closed automatically.
///
/// # Example
/// ```example
/// #polygon(
///   fill: blue.lighten(80%),
///   stroke: blue,
///   (20%, 0pt),
///   (60%, 0pt),
///   (80%, 2cm),
///   (0%,  2cm),
/// )
/// ```
#[elem(scope, Layout)]
pub struct PolygonElem {
    /// How to fill the polygon.
    ///
    /// When setting a fill, the default stroke disappears. To create a
    /// rectangle with both fill and stroke, you have to configure both.
    ///
    /// Currently all polygons are filled according to the
    /// [non-zero winding rule](https://en.wikipedia.org/wiki/Nonzero-rule).
    pub fill: Option<Paint>,

    /// How to [stroke]($stroke) the polygon. This can be:
    ///
    /// Can be set to  `{none}` to disable the stroke or to `{auto}` for a
    /// stroke of `{1pt}` black if and if only if no fill is given.
    #[resolve]
    #[fold]
    pub stroke: Smart<Option<Stroke>>,

    /// The vertices of the polygon. Each point is specified as an array of two
    /// [relative lengths]($relative).
    #[variadic]
    pub vertices: Vec<Axes<Rel<Length>>>,
}

#[scope]
impl PolygonElem {
    /// A regular polygon, defined by its size and number of vertices.
    ///
    /// ```example
    /// #polygon.regular(
    ///   fill: blue.lighten(80%),
    ///   stroke: blue,
    ///   size: 30pt,
    ///   vertices: 3,
    /// )
    /// ```
    #[func(title = "Regular Polygon")]
    pub fn regular(
        /// How to fill the polygon. See the general
        /// [polygon's documentation]($polygon.fill) for more details.
        #[named]
        fill: Option<Option<Paint>>,

        /// How to stroke the polygon. See the general
        /// [polygon's documentation]($polygon.stroke) for more details.
        #[named]
        stroke: Option<Smart<Option<Stroke>>>,

        /// The diameter of the [circumcircle](https://en.wikipedia.org/wiki/Circumcircle)
        /// of the regular polygon.
        #[named]
        #[default(Em::one().into())]
        size: Length,

        /// The number of vertices in the polygon.
        #[named]
        #[default(3)]
        vertices: u64,
    ) -> Content {
        let radius = size / 2.0;
        let angle = |i: f64| {
            2.0 * PI * i / (vertices as f64) + PI * (1.0 / 2.0 - 1.0 / vertices as f64)
        };
        let (horizontal_offset, vertical_offset) = (0..=vertices)
            .map(|v| {
                (
                    (radius * angle(v as f64).cos()) + radius,
                    (radius * angle(v as f64).sin()) + radius,
                )
            })
            .fold((radius, radius), |(min_x, min_y), (v_x, v_y)| {
                (
                    if min_x < v_x { min_x } else { v_x },
                    if min_y < v_y { min_y } else { v_y },
                )
            });
        let vertices = (0..=vertices)
            .map(|v| {
                let x = (radius * angle(v as f64).cos()) + radius - horizontal_offset;
                let y = (radius * angle(v as f64).sin()) + radius - vertical_offset;
                Axes::new(x, y).map(Rel::from)
            })
            .collect();

        let mut elem = PolygonElem::new(vertices);
        if let Some(fill) = fill {
            elem.push_fill(fill);
        }
        if let Some(stroke) = stroke {
            elem.push_stroke(stroke);
        }
        elem.pack()
    }
}

impl Layout for PolygonElem {
    #[tracing::instrument(name = "PolygonElem::layout", skip_all)]
    fn layout(
        &self,
        _: &mut Vt,
        styles: StyleChain,
        regions: Regions,
    ) -> SourceResult<Fragment> {
        let points: Vec<Point> = self
            .vertices()
            .iter()
            .map(|c| {
                c.resolve(styles).zip_map(regions.base(), Rel::relative_to).to_point()
            })
            .collect();

        let size = points.iter().fold(Point::zero(), |max, c| c.max(max)).to_size();
        if !size.is_finite() {
            bail!(error!(self.span(), "cannot create polygon with infinite size"));
        }
        let mut frame = Frame::hard(size);

        // Only create a path if there are more than zero points.
        if points.is_empty() {
            return Ok(Fragment::frame(frame));
        }

        // Prepare fill and stroke.
        let fill = self.fill(styles);
        let stroke = match self.stroke(styles) {
            Smart::Auto if fill.is_none() => Some(FixedStroke::default()),
            Smart::Auto => None,
            Smart::Custom(stroke) => stroke.map(Stroke::unwrap_or_default),
        };

        // Construct a closed path given all points.
        let mut path = Path::new();
        path.move_to(points[0]);
        for &point in &points[1..] {
            path.line_to(point);
        }
        path.close_path();

        let shape = Shape { geometry: Geometry::Path(path), stroke, fill };
        frame.push(Point::zero(), FrameItem::Shape(shape, self.span()));

        Ok(Fragment::frame(frame))
    }
}