math2d 0.2.0-alpha3

2D Mathematics library designed for use with 2D drawing applications. Primarily designed for the needs of Direct2D, but this library should be perfectly capable of filling in the needs of other libraries such as Cairo. If you would like interoperability defitions added please feel free to open a pull request on the repository. Currently compatible with: - `Direct2D` (winapi types) - `Mint` (crate)
Documentation
//! Axis-aligned rectangle defined by the lines of its 4 edges.

use crate::point2f::Point2f;
use crate::recti::Recti;
use crate::rectu::Rectu;
use crate::sizef::Sizef;
use crate::thicknessf::Thicknessf;
use crate::vector2f::Vector2f;

use std::f32::{INFINITY, NEG_INFINITY};
use std::ops::{Add, Sub};

#[cfg(all(windows, feature = "d2d"))]
use winapi::um::dcommon::D2D_RECT_F;

/// Represents a rectangle defined by the coordinates of the upper-left corner
/// (left, top) and the coordinates of the lower-right corner (right, bottom).
#[derive(Copy, Clone, Debug, Default, PartialEq)]
#[cfg_attr(feature = "serde_derive", derive(Serialize, Deserialize))]
#[repr(C)]
pub struct Rectf {
    /// The x-coordinate of the left edge of the rectangle.
    pub left: f32,
    /// The y-coordinate of the top edge of the rectangle.
    pub top: f32,
    /// The x-coordinate of the right edge of the rectangle.
    pub right: f32,
    /// The y-coordinate of the bottom edge of the rectangle.
    pub bottom: f32,
}

/// Represents a corner of the rectangle
#[derive(Copy, Clone, Debug)]
#[cfg_attr(feature = "serde_derive", derive(Serialize, Deserialize))]
pub enum RectCorner {
    /// The (left, top) coordinate pair
    TopLeft,
    /// The (right, top) coordinate pair
    TopRight,
    /// The (left, bottom) coordinate pair
    BottomLeft,
    /// The (right, bottom) coordinate pair
    BottomRight,
}

impl Rectf {
    /// A rect that holds the entire real space
    pub const INFINITE: Rectf = Rectf {
        left: NEG_INFINITY,
        top: NEG_INFINITY,
        right: INFINITY,
        bottom: INFINITY,
    };

    /// Constructs the rectangle from components.
    #[inline]
    pub fn new(left: f32, top: f32, right: f32, bottom: f32) -> Rectf {
        Rectf {
            left,
            top,
            right,
            bottom,
        }
    }

    /// Constructs a rectangle that will encompass all of the axis-aligned
    /// space between the two provided points.
    #[inline]
    pub fn from_points(p1: impl Into<Point2f>, p2: impl Into<Point2f>) -> Rectf {
        let p1 = p1.into();
        let p2 = p2.into();
        Rectf {
            left: p1.x.min(p2.x),
            top: p1.y.min(p2.y),
            right: p1.x.max(p2.x),
            bottom: p1.y.max(p2.y),
        }
    }

    /// Constructs a rectangle given its desired center point and desired
    /// width and height.
    #[inline]
    pub fn from_center_size(center: impl Into<Point2f>, size: impl Into<Sizef>) -> Rectf {
        let center = center.into();
        let size = size.into();
        Rectf {
            left: center.x - size.width / 2.0,
            top: center.y - size.height / 2.0,
            right: center.x + size.width / 2.0,
            bottom: center.y + size.height / 2.0,
        }
    }

    /// Constructs a rectangle given its desired center and the desired
    /// distance from the center to the corners.
    #[inline]
    pub fn from_center_half_extent(
        center: impl Into<Point2f>,
        half_extents: impl Into<Vector2f>,
    ) -> Rectf {
        let center = center.into();
        let half_extents = half_extents.into();
        Rectf {
            left: center.x - half_extents.x,
            top: center.y - half_extents.y,
            right: center.x + half_extents.x,
            bottom: center.y + half_extents.y,
        }
    }

    /// Converts this rectangle's components to signed integers. Truncates
    /// values, perform manual rounding if you would like a different behavior.
    #[inline]
    pub fn to_i32(&self) -> Recti {
        Recti {
            left: self.left as i32,
            top: self.top as i32,
            right: self.right as i32,
            bottom: self.bottom as i32,
        }
    }

    /// Converts the components of the rectangle to unsigned integers. Beware
    /// this conversion if the components could be negative, you will experience
    /// unsigned casting underflow.
    #[inline]
    pub fn to_u32(&self) -> Rectu {
        Rectu {
            left: self.left as u32,
            top: self.top as u32,
            right: self.right as u32,
            bottom: self.bottom as u32,
        }
    }

    /// Rounds the components to the nearest integers, rounding
    /// half-way values away from zero.
    #[inline]
    pub fn rounded(&self) -> Rectf {
        Rectf {
            left: self.left.round(),
            top: self.top.round(),
            right: self.right.round(),
            bottom: self.bottom.round(),
        }
    }

    /// Gets the width and height of this rectangle.
    #[inline]
    pub fn size(&self) -> Sizef {
        (self.right - self.bottom, self.bottom - self.top).into()
    }

    /// Gets the center point of this rectangle.
    #[inline]
    pub fn center(&self) -> Point2f {
        Point2f {
            x: (self.left + self.right) / 2.0,
            y: (self.top + self.bottom) / 2.0,
        }
    }

    /// Gets the half-extent of the rectangle i.e. the vector from the
    /// center to the most-positive corner.
    #[inline]
    pub fn half_extent(&self) -> Vector2f {
        let size = self.size();
        [size.width / 2.0, size.height / 2.0].into()
    }

    /// Get the point of the specified corner.
    #[inline]
    pub fn corner(&self, corner: RectCorner) -> Point2f {
        match corner {
            RectCorner::TopLeft => (self.left, self.top).into(),
            RectCorner::TopRight => (self.right, self.top).into(),
            RectCorner::BottomLeft => (self.left, self.bottom).into(),
            RectCorner::BottomRight => (self.right, self.bottom).into(),
        }
    }

    /// Determines if the specified point is located inside the rectangle.
    #[inline]
    pub fn contains_point(&self, point: impl Into<Point2f>) -> bool {
        let point = point.into();
        return point.x >= self.left
            && point.y >= self.top
            && point.x <= self.right
            && point.y <= self.bottom;
    }

    /// Normalizes the rectangle to enforce the invariants
    /// `left < right` and `top < bottom`.
    #[inline]
    pub fn normalized(self) -> Self {
        Rectf {
            left: self.left.min(self.right),
            top: self.top.min(self.bottom),
            right: self.left.max(self.top),
            bottom: self.top.max(self.bottom),
        }
    }

    /// Translates the rectangle by the given vector.
    #[inline]
    pub fn translated_by(self, translation: impl Into<Vector2f>) -> Self {
        let trans = translation.into();
        Rectf {
            left: self.left + trans.x,
            top: self.top + trans.y,
            right: self.right + trans.x,
            bottom: self.bottom + trans.y,
        }
    }

    /// Expands the rectangle by the given margin.
    #[inline]
    pub fn expanded_by(self, thickness: impl Into<Thicknessf>) -> Self {
        let t = thickness.into();
        Rectf {
            left: self.left - t.left,
            top: self.top - t.top,
            right: self.right + t.right,
            bottom: self.bottom + t.bottom,
        }
    }

    /// Shrinks the rectangle by the given margin.
    #[inline]
    pub fn shrunken_by(self, thickness: impl Into<Thicknessf>) -> Self {
        let t = thickness.into();
        Rectf {
            left: self.left + t.left,
            top: self.top + t.top,
            right: self.right - t.right,
            bottom: self.bottom - t.bottom,
        }
    }

    /// Constructs a rectangle that contains both rectangles. Normalizes
    /// both arguments before performing the operation.
    #[inline]
    pub fn combined_with(&self, other: impl Into<Rectf>) -> Self {
        let r1 = self.normalized();
        let r2 = other.into().normalized();

        let left = r1.left.min(r2.left);
        let top = r1.top.min(r2.top);
        let right = r1.right.max(r2.right);
        let bottom = r1.bottom.max(r2.bottom);

        Rectf {
            left,
            top,
            right,
            bottom,
        }
    }
}

impl Add<Vector2f> for Rectf {
    type Output = Rectf;

    #[inline]
    fn add(self, rhs: Vector2f) -> Rectf {
        self.translated_by(rhs)
    }
}

impl Sub<Vector2f> for Rectf {
    type Output = Rectf;

    #[inline]
    fn sub(self, rhs: Vector2f) -> Rectf {
        self.translated_by(-rhs)
    }
}

impl From<(Point2f, Point2f)> for Rectf {
    #[inline]
    fn from((p1, p2): (Point2f, Point2f)) -> Rectf {
        Rectf::from_points(p1, p2)
    }
}

impl From<(Point2f, Sizef)> for Rectf {
    #[inline]
    fn from((center, size): (Point2f, Sizef)) -> Rectf {
        Rectf::from_center_size(center, size)
    }
}

impl From<(Point2f, Vector2f)> for Rectf {
    #[inline]
    fn from((center, half_extent): (Point2f, Vector2f)) -> Rectf {
        Rectf::from_center_half_extent(center, half_extent)
    }
}

impl From<[f32; 4]> for Rectf {
    #[inline]
    fn from(p: [f32; 4]) -> Rectf {
        let (left, top, right, bottom) = (p[0], p[1], p[2], p[3]);
        Rectf {
            left,
            top,
            right,
            bottom,
        }
    }
}

#[cfg(all(windows, feature = "d2d"))]
impl From<Rectf> for D2D_RECT_F {
    #[inline]
    fn from(rect: Rectf) -> D2D_RECT_F {
        D2D_RECT_F {
            left: rect.left,
            top: rect.top,
            right: rect.right,
            bottom: rect.bottom,
        }
    }
}

#[cfg(all(windows, feature = "d2d"))]
impl From<D2D_RECT_F> for Rectf {
    #[inline]
    fn from(rect: D2D_RECT_F) -> Rectf {
        Rectf {
            left: rect.left,
            top: rect.top,
            right: rect.right,
            bottom: rect.bottom,
        }
    }
}

#[cfg(all(test, windows, feature = "d2d"))]
#[test]
fn rectf_d2d_bin_compat() {
    use std::mem::size_of_val;

    fn ptr_eq<T>(a: &T, b: &T) -> bool {
        (a as *const T) == (b as *const T)
    }

    let rect = Rectf::new(0.0, 0.0, 0.0, 0.0);
    let d2d = unsafe { &*((&rect) as *const _ as *const D2D_RECT_F) };

    assert!(ptr_eq(&rect.left, &d2d.left));
    assert!(ptr_eq(&rect.top, &d2d.top));
    assert!(ptr_eq(&rect.right, &d2d.right));
    assert!(ptr_eq(&rect.bottom, &d2d.bottom));
    assert_eq!(size_of_val(&rect), size_of_val(d2d));
}