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import math
def angle_to_xy(angle: float, offset: float) -> (float, float):
"""Convert from radians to obfuscated (x, y) tupple.
The `angle` must be in the range [0.0, 1.0].
The `offset` must be in the range [0.0, 1.0].
Provide an offset to obfuscate by rotating. offset=0 is no obfuscation.
The returned values are in the range [0.0, 1.0].
"""
radians = (angle + offset) % 1.0
x = math.cos(radians * math.tau)
y = math.sin(radians * math.tau)
return (x, y)
def color_to_xy(color: int, color_count: int, offset: float) -> (float, float):
"""Convert from color value to obfuscated (x, y) tupple.
The `color` must be in the range [0, color_count-1].
The `offset` must be in the range [0.0, 1.0].
Provide an offset to obfuscate. offset=0 is no obfuscation.
The returned values are in the range [0.0, 1.0].
"""
angle = color / float(color_count)
return angle_to_xy(angle, offset)
def xy_to_color(xy: (float, float), color_count: int, offset: float) -> int:
"""Convert from obfuscated (x, y) tupple to deobfuscated color value.
The `xy` tupple must be in the range [-1.0, 1.0].
The `offset` must be in the range [0.0, 1.0].
Provide an offset to deobfuscate. offset=0 is no deobfuscation.
The `color_count` is the number of colors. typical 10.
The returned value is in the range [0, color_count - 1].
"""
(x, y) = xy
angle = ((math.atan2(y, x) / math.tau) - offset) % 1.0
value = math.floor(angle * color_count)
return int(value)
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