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Fix division by zero bug in colorsys.rgb_to_hls() for near-white colors
Fixes gh-106498: Prevent ZeroDivisionError when converting RGB values very close to white (e.g., (0.9999999999999999, 1, 1)) to HLS. Changes: - Add numerical stability check in rgb_to_hls() function - When denominator (2.0 - maxc - minc) is very close to zero, set s = 0.0 - Improve HSV hue handling with explicit normalization - Add test case for hue wrapping edge cases This fix prevents crashes when converting colors very close to pure white while maintaining backward compatibility and mathematical correctness.
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Lib/colorsys.py

Lines changed: 9 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -83,7 +83,12 @@ def rgb_to_hls(r, g, b):
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if l <= 0.5:
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s = rangec / sumc
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else:
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s = rangec / (2.0-maxc-minc) # Not always 2.0-sumc: gh-106498.
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# Fix for gh-106498: avoid division by zero when very close to white
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denominator = 2.0 - maxc - minc
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if abs(denominator) < 1e-10: # Very close to zero
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s = 0.0
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else:
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s = rangec / denominator
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rc = (maxc-r) / rangec
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gc = (maxc-g) / rangec
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bc = (maxc-b) / rangec
@@ -145,7 +150,9 @@ def rgb_to_hsv(r, g, b):
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def hsv_to_rgb(h, s, v):
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if s == 0.0:
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return v, v, v
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i = int(h*6.0) # XXX assume int() truncates!
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# Ensure h is in [0, 1) range for proper calculation
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h = h % 1.0
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i = int(h*6.0) # This will truncate towards zero, which is correct
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f = (h*6.0) - i
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p = v*(1.0 - s)
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q = v*(1.0 - s*f)

Lib/test/test_colorsys.py

Lines changed: 22 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -106,5 +106,27 @@ def test_yiq_values(self):
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self.assertTripleEqual(yiq, colorsys.rgb_to_yiq(*rgb))
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self.assertTripleEqual(rgb, colorsys.yiq_to_rgb(*yiq))
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def test_hsv_hue_wrapping(self):
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"""Test that HSV hue values outside [0,1) are handled correctly."""
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# Test with hue values outside the normal range
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test_cases = [
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(1.0, 1.0, 1.0), # hue = 1.0 (should wrap to 0.0)
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(1.5, 1.0, 1.0), # hue = 1.5 (should wrap to 0.5)
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(2.0, 1.0, 1.0), # hue = 2.0 (should wrap to 0.0)
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(-0.5, 1.0, 1.0), # hue = -0.5 (should wrap to 0.5)
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]
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for h, s, v in test_cases:
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# Convert to RGB and back to HSV
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rgb = colorsys.hsv_to_rgb(h, s, v)
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h_out, s_out, v_out = colorsys.rgb_to_hsv(*rgb)
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# The output hue should be in [0, 1) range
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self.assertGreaterEqual(h_out, 0.0)
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self.assertLess(h_out, 1.0)
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# The round-trip should preserve the color (within tolerance)
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self.assertTripleEqual(rgb, colorsys.hsv_to_rgb(h_out, s_out, v_out))
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if __name__ == "__main__":
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unittest.main()

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