Merge pull request #69043 from xiongyaohua/path3d_bake_refactor_fix

`Curve3D` bake refactor continue

1 files changed, 20 insertions, 0 deletions

diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h
index 0af529ad98..8dff8e6e7e 100644
--- a/core/math/math_funcs.h
+++ b/core/math/math_funcs.h
@@ -364,6 +364,26 @@ public:
 		return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0f + p_control_2 * omt * t2 * 3.0f + p_end * t3;
 	}
 
+	static _ALWAYS_INLINE_ double bezier_derivative(double p_start, double p_control_1, double p_control_2, double p_end, double p_t) {
+		/* Formula from Wikipedia article on Bezier curves. */
+		double omt = (1.0 - p_t);
+		double omt2 = omt * omt;
+		double t2 = p_t * p_t;
+
+		double d = (p_control_1 - p_start) * 3.0 * omt2 + (p_control_2 - p_control_1) * 6.0 * omt * p_t + (p_end - p_control_2) * 3.0 * t2;
+		return d;
+	}
+
+	static _ALWAYS_INLINE_ float bezier_derivative(float p_start, float p_control_1, float p_control_2, float p_end, float p_t) {
+		/* Formula from Wikipedia article on Bezier curves. */
+		float omt = (1.0f - p_t);
+		float omt2 = omt * omt;
+		float t2 = p_t * p_t;
+
+		float d = (p_control_1 - p_start) * 3.0f * omt2 + (p_control_2 - p_control_1) * 6.0f * omt * p_t + (p_end - p_control_2) * 3.0f * t2;
+		return d;
+	}
+
 	static _ALWAYS_INLINE_ double lerp_angle(double p_from, double p_to, double p_weight) {
 		double difference = fmod(p_to - p_from, Math_TAU);
 		double distance = fmod(2.0 * difference, Math_TAU) - difference;