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from __future__ import annotations
from enum import Enum
from typing import Any, Dict, Sequence, Tuple, Union
class Orientation(Enum):
SCREEN = (1, -1) # Origin in top left, y increases in the down direction
CARTESIAN = (1, 1) # Origin in bottom left, y increases in upward direction
def convert_coordinate(old_t, old_t_max, new_t_max, t_orientation):
"""Convert a coordinate into another system along an axis using a linear transformation"""
return (
(1 - old_t / old_t_max) * (1 - t_orientation) / 2
+ old_t / old_t_max * (1 + t_orientation) / 2
) * new_t_max
class CoordinateSystem:
"""A finite coordinate plane with given width and height."""
orientation: Orientation
def __init__(self, width: Union[int, float], height: Union[int, float]):
self.width = width
self.height = height
def __eq__(self, other: object):
if not isinstance(other, CoordinateSystem):
return False
return (
str(self.__class__.__name__) == str(other.__class__.__name__)
and self.width == other.width
and self.height == other.height
and self.orientation == other.orientation
)
def convert_from_relative(
self,
x: Union[float, int],
y: Union[float, int],
) -> Tuple[Union[float, int], Union[float, int]]:
"""Convert to this coordinate system from a relative coordinate system."""
x_orientation, y_orientation = self.orientation.value
new_x = convert_coordinate(x, 1, self.width, x_orientation)
new_y = convert_coordinate(y, 1, self.height, y_orientation)
return new_x, new_y
def convert_to_relative(
self,
x: Union[float, int],
y: Union[float, int],
) -> Tuple[Union[float, int], Union[float, int]]:
"""Convert from this coordinate system to a relative coordinate system."""
x_orientation, y_orientation = self.orientation.value
new_x = convert_coordinate(x, self.width, 1, x_orientation)
new_y = convert_coordinate(y, self.height, 1, y_orientation)
return new_x, new_y
def convert_coordinates_to_new_system(
self,
new_system: CoordinateSystem,
x: Union[float, int],
y: Union[float, int],
) -> Tuple[Union[float, int], Union[float, int]]:
"""Convert from this coordinate system to another given coordinate system."""
rel_x, rel_y = self.convert_to_relative(x, y)
return new_system.convert_from_relative(rel_x, rel_y)
def convert_multiple_coordinates_to_new_system(
self,
new_system: CoordinateSystem,
coordinates: Sequence[Tuple[Union[float, int], Union[float, int]]],
) -> Tuple[Tuple[Union[float, int], Union[float, int]], ...]:
"""Convert (x, y) coordinates from current system to another coordinate system."""
new_system_coordinates = []
for x, y in coordinates:
new_system_coordinates.append(
self.convert_coordinates_to_new_system(new_system=new_system, x=x, y=y),
)
return tuple(new_system_coordinates)
class RelativeCoordinateSystem(CoordinateSystem):
"""Relative coordinate system where x and y are on a scale from 0 to 1."""
orientation = Orientation.CARTESIAN
def __init__(self):
self.width = 1
self.height = 1
class PixelSpace(CoordinateSystem):
"""Coordinate system representing a pixel space, such as an image. The origin is at the top
left."""
orientation = Orientation.SCREEN
class PointSpace(CoordinateSystem):
"""Coordinate system representing a point space, such as a pdf. The origin is at the bottom
left."""
orientation = Orientation.CARTESIAN
TYPE_TO_COORDINATE_SYSTEM_MAP: Dict[str, Any] = {
"PixelSpace": PixelSpace,
"PointSpace": PointSpace,
"CoordinateSystem": CoordinateSystem,
}