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# ==================================================================================================================== #
# _____ _ _ ____ _ _ ____ ____ #
# _ __ _ |_ _|__ ___ | (_)_ __ __ _ / ___|__ _ _ __| |_ ___ ___(_) __ _ _ __ |___ \| _ \ #
# | '_ \| | | || |/ _ \ / _ \| | | '_ \ / _` || | / _` | '__| __/ _ \/ __| |/ _` | '_ \ __) | | | | #
# | |_) | |_| || | (_) | (_) | | | | | | (_| || |__| (_| | | | || __/\__ \ | (_| | | | |/ __/| |_| | #
# | .__/ \__, ||_|\___/ \___/|_|_|_| |_|\__, (_)____\__,_|_| \__\___||___/_|\__,_|_| |_|_____|____/ #
# |_| |___/ |___/ #
# ==================================================================================================================== #
# Authors: #
# Patrick Lehmann #
# #
# License: #
# ==================================================================================================================== #
# Copyright 2025-2026 Patrick Lehmann - Bötzingen, Germany #
# #
# Licensed under the Apache License, Version 2.0 (the "License"); #
# you may not use this file except in compliance with the License. #
# You may obtain a copy of the License at #
# #
# http://www.apache.org/licenses/LICENSE-2.0 #
# #
# Unless required by applicable law or agreed to in writing, software #
# distributed under the License is distributed on an "AS IS" BASIS, #
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. #
# See the License for the specific language governing permissions and #
# limitations under the License. #
# #
# SPDX-License-Identifier: Apache-2.0 #
# ==================================================================================================================== #
#
"""An implementation of 2D cartesian shapes for Python."""
from typing import Generic, Tuple, Optional as Nullable
try:
from pyTooling.Decorators import readonly, export
from pyTooling.Exceptions import ToolingException
from pyTooling.MetaClasses import ExtendedType
from pyTooling.Common import getFullyQualifiedName
from pyTooling.Cartesian2D import Coordinate, Point2D, LineSegment2D
except (ImportError, ModuleNotFoundError): # pragma: no cover
print("[pyTooling.Cartesian2D] Could not import from 'pyTooling.*'!")
try:
from Decorators import readonly, export
from Exceptions import ToolingException
from MetaClasses import ExtendedType
from Common import getFullyQualifiedName
from Cartesian2D import Coordinate, Point2D, LineSegment2D
except (ImportError, ModuleNotFoundError) as ex: # pragma: no cover
print("[pyTooling.Cartesian2D] Could not import directly!")
raise ex
@export
class Shape(Generic[Coordinate]):
"""Base-class for all 2D cartesian shapes."""
@export
class Trapezium(Shape[Coordinate], Generic[Coordinate]):
"""
A Trapezium is a four-sided polygon, having four edges (sides) and four corners (vertices).
"""
points: Tuple[Point2D[Coordinate], ...] #: A tuple of 2D-points describing the trapezium.
segments: Tuple[LineSegment2D[Coordinate], ...] #: A tuple of 2D line segments describing the trapezium.
def __init__(self, p00: Point2D[Coordinate], p01: Point2D[Coordinate], p11: Point2D[Coordinate], p10: Point2D[Coordinate]) -> None:
"""
Initializes a trapezium with 4 corners.
:param p00: First corner.
:param p01: Second corner.
:param p11: Third corner.
:param p10: Forth corner
"""
if not isinstance(p00, Point2D):
ex = TypeError(f"Parameter 'p00' is not of type Point2D.")
ex.add_note(f"Got type '{getFullyQualifiedName(p00)}'.")
raise ex
if not isinstance(p01, Point2D):
ex = TypeError(f"Parameter 'p01' is not of type Point2D.")
ex.add_note(f"Got type '{getFullyQualifiedName(p01)}'.")
raise ex
if not isinstance(p11, Point2D):
ex = TypeError(f"Parameter 'p11' is not of type Point2D.")
ex.add_note(f"Got type '{getFullyQualifiedName(p11)}'.")
raise ex
if not isinstance(p10, Point2D):
ex = TypeError(f"Parameter 'p10' is not of type Point2D.")
ex.add_note(f"Got type '{getFullyQualifiedName(p10)}'.")
raise ex
self.points = (
_p00 := p00.Copy(),
_p01 := p01.Copy(),
_p11 := p11.Copy(),
_p10 := p10.Copy(),
)
self.segments = (
LineSegment2D(_p00, _p01, copyPoints=False),
LineSegment2D(_p01, _p11, copyPoints=False),
LineSegment2D(_p11, _p10, copyPoints=False),
LineSegment2D(_p10, _p00, copyPoints=False)
)
@export
class Rectangle(Trapezium[Coordinate]):
"""
A rectangle is a trapezium, where opposite edges a parallel to each other and all inner angels are 90 |degree| .
"""
def __init__(self, p00: Point2D[Coordinate], p01: Point2D[Coordinate], p11: Point2D[Coordinate], p10: Point2D[Coordinate]) -> None:
"""
Initializes a rectangle with 4 corners.
:param p00: First corner.
:param p01: Second corner.
:param p11: Third corner.
:param p10: Forth corner
"""
super().__init__(p00, p01, p11, p10)
if self.segments[0].Length != self.segments[2].Length or self.segments[1].Length != self.segments[3].Length:
raise ValueError(f"Line segments (edges) of opposite edges different lengths.")
if (self.segments[0].AngleTo(self.segments[1]) == 0.0 and self.segments[1].AngleTo(self.segments[2]) == 0.0
and self.segments[2].AngleTo(self.segments[3]) == 0.0 and self.segments[3].AngleTo(self.segments[0]) == 0.0):
raise ValueError(f"Line segments (edges) have no 90° angles.")
@export
class Square(Rectangle[Coordinate]):
"""
A square is a rectangle, where all edges have the same length and all inner angels are 90 |degree| .
"""
def __init__(self, p00: Point2D[Coordinate], p01: Point2D[Coordinate], p11: Point2D[Coordinate], p10: Point2D[Coordinate]) -> None:
"""
Initializes a square with 4 corners.
:param p00: First corner.
:param p01: Second corner.
:param p11: Third corner.
:param p10: Forth corner
"""
super().__init__(p00, p01, p11, p10)
if self.segments[0].Length != self.segments[1].Length:
raise ValueError(f"Line segments (edges) between corners have different lengths.")
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