mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
0a42ae9095
* Fix all errors mentioned in pre-commit run: - Fix end of file - Remove trailing whitespace - Fix files with black - Fix imports with isort * Fix errors
103 lines
3.2 KiB
Python
103 lines
3.2 KiB
Python
"""
|
|
render 3d points for 2d surfaces.
|
|
"""
|
|
|
|
from __future__ import annotations
|
|
|
|
import math
|
|
|
|
__version__ = "2020.9.26"
|
|
__author__ = "xcodz-dot, cclaus, dhruvmanila"
|
|
|
|
|
|
def convert_to_2d(
|
|
x: float, y: float, z: float, scale: float, distance: float
|
|
) -> tuple[float, float]:
|
|
"""
|
|
Converts 3d point to a 2d drawable point
|
|
|
|
>>> convert_to_2d(1.0, 2.0, 3.0, 10.0, 10.0)
|
|
(7.6923076923076925, 15.384615384615385)
|
|
|
|
>>> convert_to_2d(1, 2, 3, 10, 10)
|
|
(7.6923076923076925, 15.384615384615385)
|
|
|
|
>>> convert_to_2d("1", 2, 3, 10, 10) # '1' is str
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input values must either be float or int: ['1', 2, 3, 10, 10]
|
|
"""
|
|
if not all(isinstance(val, (float, int)) for val in locals().values()):
|
|
raise TypeError(
|
|
"Input values must either be float or int: " f"{list(locals().values())}"
|
|
)
|
|
projected_x = ((x * distance) / (z + distance)) * scale
|
|
projected_y = ((y * distance) / (z + distance)) * scale
|
|
return projected_x, projected_y
|
|
|
|
|
|
def rotate(
|
|
x: float, y: float, z: float, axis: str, angle: float
|
|
) -> tuple[float, float, float]:
|
|
"""
|
|
rotate a point around a certain axis with a certain angle
|
|
angle can be any integer between 1, 360 and axis can be any one of
|
|
'x', 'y', 'z'
|
|
|
|
>>> rotate(1.0, 2.0, 3.0, 'y', 90.0)
|
|
(3.130524675073759, 2.0, 0.4470070007889556)
|
|
|
|
>>> rotate(1, 2, 3, "z", 180)
|
|
(0.999736015495891, -2.0001319704760485, 3)
|
|
|
|
>>> rotate('1', 2, 3, "z", 90.0) # '1' is str
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input values except axis must either be float or int: ['1', 2, 3, 90.0]
|
|
|
|
>>> rotate(1, 2, 3, "n", 90) # 'n' is not a valid axis
|
|
Traceback (most recent call last):
|
|
...
|
|
ValueError: not a valid axis, choose one of 'x', 'y', 'z'
|
|
|
|
>>> rotate(1, 2, 3, "x", -90)
|
|
(1, -2.5049096187183877, -2.5933429780983657)
|
|
|
|
>>> rotate(1, 2, 3, "x", 450) # 450 wrap around to 90
|
|
(1, 3.5776792428178217, -0.44744970165427644)
|
|
"""
|
|
if not isinstance(axis, str):
|
|
raise TypeError("Axis must be a str")
|
|
input_variables = locals()
|
|
del input_variables["axis"]
|
|
if not all(isinstance(val, (float, int)) for val in input_variables.values()):
|
|
raise TypeError(
|
|
"Input values except axis must either be float or int: "
|
|
f"{list(input_variables.values())}"
|
|
)
|
|
angle = (angle % 360) / 450 * 180 / math.pi
|
|
if axis == "z":
|
|
new_x = x * math.cos(angle) - y * math.sin(angle)
|
|
new_y = y * math.cos(angle) + x * math.sin(angle)
|
|
new_z = z
|
|
elif axis == "x":
|
|
new_y = y * math.cos(angle) - z * math.sin(angle)
|
|
new_z = z * math.cos(angle) + y * math.sin(angle)
|
|
new_x = x
|
|
elif axis == "y":
|
|
new_x = x * math.cos(angle) - z * math.sin(angle)
|
|
new_z = z * math.cos(angle) + x * math.sin(angle)
|
|
new_y = y
|
|
else:
|
|
raise ValueError("not a valid axis, choose one of 'x', 'y', 'z'")
|
|
|
|
return new_x, new_y, new_z
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|
|
print(f"{convert_to_2d(1.0, 2.0, 3.0, 10.0, 10.0) = }")
|
|
print(f"{rotate(1.0, 2.0, 3.0, 'y', 90.0) = }")
|