269 lines
8.3 KiB
Python
269 lines
8.3 KiB
Python
# Copyright (c) 2019-2022, Manfred Moitzi
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# License: MIT License
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from __future__ import annotations
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from typing import Sequence, Iterable
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import math
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from ezdxf.math import Vec2, UVec
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from .bbox import BoundingBox2d
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from .line import ConstructionLine
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from .construct2d import point_to_line_relation
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ABS_TOL = 1e-12
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__all__ = ["ConstructionBox"]
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class ConstructionBox:
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"""Construction tool for 2D rectangles.
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Args:
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center: center of rectangle
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width: width of rectangle
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height: height of rectangle
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angle: angle of rectangle in degrees
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"""
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def __init__(
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self,
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center: UVec = (0, 0),
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width: float = 1,
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height: float = 1,
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angle: float = 0,
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):
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self._center = Vec2(center)
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self._width: float = abs(width)
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self._height: float = abs(height)
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self._angle: float = angle # in degrees
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# corners: lower left, lower right, upper right, upper left:
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self._corners: Sequence[Vec2] = tuple()
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self._tainted: bool = True
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@classmethod
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def from_points(cls, p1: UVec, p2: UVec) -> ConstructionBox:
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"""Creates a box from two opposite corners, box sides are parallel to x-
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and y-axis.
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Args:
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p1: first corner as :class:`Vec2` compatible object
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p2: second corner as :class:`Vec2` compatible object
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"""
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_p1 = Vec2(p1)
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_p2 = Vec2(p2)
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width: float = abs(_p2.x - _p1.x)
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height: float = abs(_p2.y - _p1.y)
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center: Vec2 = _p1.lerp(_p2)
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return cls(center=center, width=width, height=height)
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def update(self) -> None:
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if not self._tainted:
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return
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center = self.center
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w2 = Vec2.from_deg_angle(self._angle, self._width / 2.0)
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h2 = Vec2.from_deg_angle(self._angle + 90, self._height / 2.0)
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self._corners = (
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center - w2 - h2, # lower left
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center + w2 - h2, # lower right
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center + w2 + h2, # upper right
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center - w2 + h2, # upper left
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)
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self._tainted = False
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@property
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def bounding_box(self) -> BoundingBox2d:
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""":class:`BoundingBox2d`"""
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return BoundingBox2d(self.corners)
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@property
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def center(self) -> Vec2:
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"""box center"""
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return self._center
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@center.setter
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def center(self, c: UVec) -> None:
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self._center = Vec2(c)
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self._tainted = True
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@property
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def width(self) -> float:
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"""box width"""
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return self._width
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@width.setter
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def width(self, w: float) -> None:
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self._width = abs(w)
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self._tainted = True
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@property
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def height(self) -> float:
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"""box height"""
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return self._height
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@height.setter
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def height(self, h: float) -> None:
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self._height = abs(h)
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self._tainted = True
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@property
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def incircle_radius(self) -> float:
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"""incircle radius"""
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return min(self._width, self._height) * 0.5
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@property
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def circumcircle_radius(self) -> float:
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"""circum circle radius"""
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return math.hypot(self._width, self._height) * 0.5
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@property
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def angle(self) -> float:
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"""rotation angle in degrees"""
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return self._angle
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@angle.setter
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def angle(self, a: float) -> None:
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self._angle = a
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self._tainted = True
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@property
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def corners(self) -> Sequence[Vec2]:
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"""box corners as sequence of :class:`Vec2` objects."""
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self.update()
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return self._corners
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def __iter__(self) -> Iterable[Vec2]:
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"""Iterable of box corners as :class:`Vec2` objects."""
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return iter(self.corners)
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def __getitem__(self, corner) -> Vec2:
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"""Get corner by index `corner`, ``list`` like slicing is supported."""
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return self.corners[corner]
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def __repr__(self) -> str:
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"""Returns string representation of box as
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``ConstructionBox(center, width, height, angle)``"""
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return f"ConstructionBox({self.center}, {self.width}, {self.height}, {self.angle})"
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def translate(self, dx: float, dy: float) -> None:
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"""Move box about `dx` in x-axis and about `dy` in y-axis.
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Args:
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dx: translation in x-axis
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dy: translation in y-axis
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"""
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self.center += Vec2((dx, dy))
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def expand(self, dw: float, dh: float) -> None:
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"""Expand box: `dw` expand width, `dh` expand height."""
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self.width += dw
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self.height += dh
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def scale(self, sw: float, sh: float) -> None:
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"""Scale box: `sw` scales width, `sh` scales height."""
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self.width *= sw
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self.height *= sh
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def rotate(self, angle: float) -> None:
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"""Rotate box by `angle` in degrees."""
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self.angle += angle
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def is_inside(self, point: UVec) -> bool:
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"""Returns ``True`` if `point` is inside of box."""
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point = Vec2(point)
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delta = self.center - point
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if abs(self.angle) < ABS_TOL: # fast path for horizontal rectangles
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return abs(delta.x) <= (self._width / 2.0) and abs(delta.y) <= (
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self._height / 2.0
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)
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else:
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distance = delta.magnitude
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if distance > self.circumcircle_radius:
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return False
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elif distance <= self.incircle_radius:
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return True
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else:
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# inside if point is "left of line" of all borderlines.
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p1, p2, p3, p4 = self.corners
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return all(
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(
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point_to_line_relation(point, a, b) < 1
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for a, b in [(p1, p2), (p2, p3), (p3, p4), (p4, p1)]
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)
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)
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def is_any_corner_inside(self, other: ConstructionBox) -> bool:
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"""Returns ``True`` if any corner of `other` box is inside this box."""
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return any(self.is_inside(p) for p in other.corners)
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def is_overlapping(self, other: ConstructionBox) -> bool:
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"""Returns ``True`` if this box and `other` box do overlap."""
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distance = (self.center - other.center).magnitude
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max_distance = self.circumcircle_radius + other.circumcircle_radius
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if distance > max_distance:
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return False
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min_distance = self.incircle_radius + other.incircle_radius
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if distance <= min_distance:
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return True
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if self.is_any_corner_inside(other):
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return True
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if other.is_any_corner_inside(self):
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return True
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# no corner is inside of any box, maybe crossing boxes?
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# check intersection of diagonals
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c1, c2, c3, c4 = self.corners
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diag1 = ConstructionLine(c1, c3)
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diag2 = ConstructionLine(c2, c4)
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t1, t2, t3, t4 = other.corners
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test_diag = ConstructionLine(t1, t3)
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if test_diag.has_intersection(diag1) or test_diag.has_intersection(
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diag2
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):
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return True
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test_diag = ConstructionLine(t2, t4)
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if test_diag.has_intersection(diag1) or test_diag.has_intersection(
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diag2
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):
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return True
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return False
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def border_lines(self) -> Sequence[ConstructionLine]:
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"""Returns borderlines of box as sequence of :class:`ConstructionLine`."""
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p1, p2, p3, p4 = self.corners
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return (
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ConstructionLine(p1, p2),
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ConstructionLine(p2, p3),
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ConstructionLine(p3, p4),
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ConstructionLine(p4, p1),
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)
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def intersect(self, line: ConstructionLine) -> list[Vec2]:
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"""Returns 0, 1 or 2 intersection points between `line` and box
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borderlines.
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Args:
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line: line to intersect with borderlines
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Returns:
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list of intersection points
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=========== ==================================
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list size Description
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=========== ==================================
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0 no intersection
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1 line touches box at one corner
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2 line intersects with box
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=========== ==================================
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"""
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result = set()
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for border_line in self.border_lines():
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p = line.intersect(border_line)
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if p is not None:
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result.add(p)
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return sorted(result)
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