Module datatap.geometry.rectangle

Classes

class Rectangle (p1: Point, p2: Point, normalize: bool = False)

An axis-aligned rectangle in 2D space.

Expand source code

class Rectangle:
        """
        An axis-aligned rectangle in 2D space.
        """

        p1: Point
        """
        The top-left corner of the rectangle.
        """

        p2: Point
        """
        The bottom-right corner of the rectangle.
        """

        @staticmethod
        def from_json(json: RectangleJson) -> Rectangle:
                """
                Creates a `Rectangle` from a `RectangleJson`.
                """
                return Rectangle(Point.from_json(json[0]), Point.from_json(json[1]))

        @staticmethod
        def from_point_set(points: Sequence[Point]) -> Rectangle:
                """
                Creates the bounding rectangle of a set of points.

                Note, it is possible for this to create an invalid rectangle if all points
                are colinear and axis-aligned.
                """
                return Rectangle(
                        Point(min(p.x for p in points), min(p.y for p in points)),
                        Point(max(p.x for p in points), max(p.y for p in points))
                )

        def __init__(self, p1: Point, p2: Point, normalize: bool = False):
                if normalize:
                        self.p1 = Point(min(p1.x, p2.x), min(p1.y, p2.y))
                        self.p2 = Point(max(p1.x, p2.x), max(p1.y, p2.y))
                else:
                        self.p1 = p1
                        self.p2 = p2

        def assert_valid(self) -> None:
                """
                Ensures that this rectangle is valid on the unit plane.
                """
                self.p1.assert_valid()
                self.p2.assert_valid()
                assert self.p1.x < self.p2.x and self.p1.y < self.p2.y, f"Rectangle has non-positive area; failed on rectangle {repr(self)}"

        def to_json(self) -> RectangleJson:
                """
                Serializes this object as a `RectangleJson`.
                """
                return (self.p1.to_json(), self.p2.to_json())

        def to_shapely(self) -> ShapelyPolygon:
                """
                Converts this rectangle into a `Shapely.Polygon`.
                """
                return box(self.p1.x, self.p1.y, self.p2.x, self.p2.y)

        def to_xywh_tuple(self) -> Tuple[float, float, float, float]:
                """
                Converts this rectangle into a tuple of `(x_coordinate, y_coordinate, width, height)`.
                """
                w = self.p2.x - self.p1.x
                h = self.p2.y - self.p1.y
                return (self.p1.x, self.p1.y, w, h)

        def to_xyxy_tuple(self) -> Tuple[float, float, float, float]:
                """
                Converts this rectangle into a tuple of `(x_min, y_min, x_max, y_max)`.
                """
                return (self.p1.x, self.p1.y, self.p2.x, self.p2.y)

        def area(self) -> float:
                """
                Computes the area of this rectangle.
                """
                return abs(self.p1.x - self.p2.x) * abs(self.p1.y - self.p2.y)

        def iou(self, other: Rectangle) -> float:
                """
                Computes the iou (intersection-over-union) of this rectangle with another.
                """
                x1 = max(self.p1.x, other.p1.x)
                y1 = max(self.p1.y, other.p1.y)
                x2 = min(self.p2.x, other.p2.x)
                y2 = min(self.p2.y, other.p2.y)
                intersection_area = max(x2 - x1, 0) * max(y2 - y1, 0)
                union_area = self.area() + other.area() - intersection_area
                return intersection_area / union_area

        def diagonal(self) -> float:
                """
                Computes the diagonal length of this rectangle.
                """
                return self.p1.distance(self.p2)

        def scale(self, factor: Union[float, int, Tuple[float, float], Point]):
                """
                Resizes the rectangle according to `factor`. The scaling factor can
                either be a scalar (`int` or `float`), in which case the rectangle will
                be scaled by the same factor on both axes, or a point-like
                (`Tuple[float, float]` or `Point`), in which case the rectangle will be
                scaled independently on each axis.
                """
                return Rectangle(self.p1.scale(factor), self.p2.scale(factor))

        def center(self) -> Point:
                """
                Computes the center of this rectangle.
                """
                return Point((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2)

        def scale_from_center(self, factor: Union[float, int, Tuple[float, float], Point]) -> Rectangle:
                """
                Resizes the rectangle according to `factor`, though translates it so
                that its center does not move. The scaling factor can either be a scalar
                (`int` or `float`), in which case the rectangle will be scaled by the
                same factor on both axes, or a point-like (`Tuple[float, float]` or
                `Point`), in which case the rectangle will be scaled independently on
                each axis.
                """
                center = self.center()
                return Rectangle(
                        (self.p1 - center).scale(factor) + center,
                        (self.p2 - center).scale(factor) + center
                )

        def clip(self) -> Rectangle:
                """
                Clips the rectangle the unit-plane.
                """
                return Rectangle(self.p1.clip(), self.p2.clip())

        def normalize(self) -> Rectangle:
                """
                Returns a new rectangle that is guaranteed to have `p1` be the top left
                corner and `p2` be the bottom right corner.
                """
                return Rectangle(self.p1, self.p2, True)

        def __repr__(self) -> str:
                return basic_repr("Rectangle", self.p1, self.p2)

        def __hash__(self) -> int:
                return hash((self.p1, self.p2))

        def __eq__(self, other: object) -> bool:
                if not isinstance(other, Rectangle):
                        return NotImplemented
                return self.p1 == other.p1 and self.p2 == other.p2

        def __mul__(self, o: Union[int, float]) -> Rectangle:
                if isinstance(o, (int, float)): # type: ignore - pyright complains about the isinstance check being redundant
                        return Rectangle(self.p1 * o, self.p2 * o)
                return NotImplemented

Class variables

var p1 : Point

The top-left corner of the rectangle.

var p2 : Point

The bottom-right corner of the rectangle.

Static methods

def from_json(json: RectangleJson) ‑> Rectangle

Creates a Rectangle from a RectangleJson.

Expand source code

@staticmethod
def from_json(json: RectangleJson) -> Rectangle:
        """
        Creates a `Rectangle` from a `RectangleJson`.
        """
        return Rectangle(Point.from_json(json[0]), Point.from_json(json[1]))

def from_point_set(points: Sequence[Point]) ‑> Rectangle

Creates the bounding rectangle of a set of points.

Note, it is possible for this to create an invalid rectangle if all points are colinear and axis-aligned.

Expand source code

@staticmethod
def from_point_set(points: Sequence[Point]) -> Rectangle:
        """
        Creates the bounding rectangle of a set of points.

        Note, it is possible for this to create an invalid rectangle if all points
        are colinear and axis-aligned.
        """
        return Rectangle(
                Point(min(p.x for p in points), min(p.y for p in points)),
                Point(max(p.x for p in points), max(p.y for p in points))
        )

Methods

def area(self) ‑> float

Computes the area of this rectangle.

Expand source code

def area(self) -> float:
        """
        Computes the area of this rectangle.
        """
        return abs(self.p1.x - self.p2.x) * abs(self.p1.y - self.p2.y)

def assert_valid(self) ‑> None

Ensures that this rectangle is valid on the unit plane.

Expand source code

def assert_valid(self) -> None:
        """
        Ensures that this rectangle is valid on the unit plane.
        """
        self.p1.assert_valid()
        self.p2.assert_valid()
        assert self.p1.x < self.p2.x and self.p1.y < self.p2.y, f"Rectangle has non-positive area; failed on rectangle {repr(self)}"

def center(self) ‑> Point

Computes the center of this rectangle.

Expand source code

def center(self) -> Point:
        """
        Computes the center of this rectangle.
        """
        return Point((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2)

def clip(self) ‑> Rectangle

Clips the rectangle the unit-plane.

Expand source code

def clip(self) -> Rectangle:
        """
        Clips the rectangle the unit-plane.
        """
        return Rectangle(self.p1.clip(), self.p2.clip())

def diagonal(self) ‑> float

Computes the diagonal length of this rectangle.

Expand source code

def diagonal(self) -> float:
        """
        Computes the diagonal length of this rectangle.
        """
        return self.p1.distance(self.p2)

def iou(self, other: Rectangle) ‑> float

Computes the iou (intersection-over-union) of this rectangle with another.

Expand source code

def iou(self, other: Rectangle) -> float:
        """
        Computes the iou (intersection-over-union) of this rectangle with another.
        """
        x1 = max(self.p1.x, other.p1.x)
        y1 = max(self.p1.y, other.p1.y)
        x2 = min(self.p2.x, other.p2.x)
        y2 = min(self.p2.y, other.p2.y)
        intersection_area = max(x2 - x1, 0) * max(y2 - y1, 0)
        union_area = self.area() + other.area() - intersection_area
        return intersection_area / union_area

def normalize(self) ‑> Rectangle

Returns a new rectangle that is guaranteed to have p1 be the top left corner and p2 be the bottom right corner.

Expand source code

def normalize(self) -> Rectangle:
        """
        Returns a new rectangle that is guaranteed to have `p1` be the top left
        corner and `p2` be the bottom right corner.
        """
        return Rectangle(self.p1, self.p2, True)

def scale(self, factor: Union[float, int, Tuple[float, float], Point])

Resizes the rectangle according to factor. The scaling factor can either be a scalar (int or float), in which case the rectangle will be scaled by the same factor on both axes, or a point-like (Tuple[float, float] or Point), in which case the rectangle will be scaled independently on each axis.

Expand source code

def scale(self, factor: Union[float, int, Tuple[float, float], Point]):
        """
        Resizes the rectangle according to `factor`. The scaling factor can
        either be a scalar (`int` or `float`), in which case the rectangle will
        be scaled by the same factor on both axes, or a point-like
        (`Tuple[float, float]` or `Point`), in which case the rectangle will be
        scaled independently on each axis.
        """
        return Rectangle(self.p1.scale(factor), self.p2.scale(factor))

def scale_from_center(self, factor: Union[float, int, Tuple[float, float], Point]) ‑> Rectangle

Resizes the rectangle according to factor, though translates it so that its center does not move. The scaling factor can either be a scalar (int or float), in which case the rectangle will be scaled by the same factor on both axes, or a point-like (Tuple[float, float] or Point), in which case the rectangle will be scaled independently on each axis.

Expand source code

def scale_from_center(self, factor: Union[float, int, Tuple[float, float], Point]) -> Rectangle:
        """
        Resizes the rectangle according to `factor`, though translates it so
        that its center does not move. The scaling factor can either be a scalar
        (`int` or `float`), in which case the rectangle will be scaled by the
        same factor on both axes, or a point-like (`Tuple[float, float]` or
        `Point`), in which case the rectangle will be scaled independently on
        each axis.
        """
        center = self.center()
        return Rectangle(
                (self.p1 - center).scale(factor) + center,
                (self.p2 - center).scale(factor) + center
        )

def to_json(self) ‑> Tuple[Tuple[float, float], Tuple[float, float]]

Serializes this object as a RectangleJson.

Expand source code

def to_json(self) -> RectangleJson:
        """
        Serializes this object as a `RectangleJson`.
        """
        return (self.p1.to_json(), self.p2.to_json())

def to_shapely(self) ‑> shapely.geometry.polygon.Polygon

Converts this rectangle into a Shapely.Polygon.

Expand source code

def to_shapely(self) -> ShapelyPolygon:
        """
        Converts this rectangle into a `Shapely.Polygon`.
        """
        return box(self.p1.x, self.p1.y, self.p2.x, self.p2.y)

def to_xywh_tuple(self) ‑> Tuple[float, float, float, float]

Converts this rectangle into a tuple of (x_coordinate, y_coordinate, width, height).

Expand source code

def to_xywh_tuple(self) -> Tuple[float, float, float, float]:
        """
        Converts this rectangle into a tuple of `(x_coordinate, y_coordinate, width, height)`.
        """
        w = self.p2.x - self.p1.x
        h = self.p2.y - self.p1.y
        return (self.p1.x, self.p1.y, w, h)

def to_xyxy_tuple(self) ‑> Tuple[float, float, float, float]

Converts this rectangle into a tuple of (x_min, y_min, x_max, y_max).

Expand source code

def to_xyxy_tuple(self) -> Tuple[float, float, float, float]:
        """
        Converts this rectangle into a tuple of `(x_min, y_min, x_max, y_max)`.
        """
        return (self.p1.x, self.p1.y, self.p2.x, self.p2.y)