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Diffstat (limited to 'intern/cycles/util/util_math.h')
-rw-r--r--intern/cycles/util/util_math.h10
1 files changed, 10 insertions, 0 deletions
diff --git a/intern/cycles/util/util_math.h b/intern/cycles/util/util_math.h
index 737c834e073..8caabf6eac3 100644
--- a/intern/cycles/util/util_math.h
+++ b/intern/cycles/util/util_math.h
@@ -787,6 +787,16 @@ ccl_device_inline float compare_floats(float a, float b, float abs_diff, int ulp
return (abs(__float_as_int(a) - __float_as_int(b)) < ulp_diff);
}
+/* Calculate the angle between the two vectors a and b.
+ * The usual approach acos(dot(a, b)) has severe precision issues for small angles,
+ * which are avoided by this method.
+ * Based on "Mangled Angles" from https://people.eecs.berkeley.edu/~wkahan/Mindless.pdf
+ */
+ccl_device_inline float precise_angle(float3 a, float3 b)
+{
+ return 2.0f * atan2f(len(a - b), len(a + b));
+}
+
CCL_NAMESPACE_END
#endif /* __UTIL_MATH_H__ */