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-rw-r--r--core/math/math_funcs.h21
1 files changed, 21 insertions, 0 deletions
diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h
index c8a55341aa..53deb9bd42 100644
--- a/core/math/math_funcs.h
+++ b/core/math/math_funcs.h
@@ -253,6 +253,27 @@ public:
(-p_pre + 3.0f * p_from - 3.0f * p_to + p_post) * (p_weight * p_weight * p_weight));
}
+ static _ALWAYS_INLINE_ double bezier_interpolate(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 omt3 = omt2 * omt;
+ double t2 = p_t * p_t;
+ double t3 = t2 * p_t;
+
+ return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3;
+ }
+ static _ALWAYS_INLINE_ float bezier_interpolate(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 omt3 = omt2 * omt;
+ float t2 = p_t * p_t;
+ float t3 = t2 * p_t;
+
+ 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 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;