#### Vector 3 for 2d Rendering

x
```"""
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) = }")
```