feat: bezier core math

src/bezier_core.c

@@ -0,0 +1,43 @@
+#include "bezier_core.h"
+
+double linear(const double t, const double p0, const double p1) {
+  return p0 + (p1 - p0) * t;
+}
+
+double quadratic(const double t, const double p0, const double p1, const double p2) {
+  const double at = 1 - t;
+  return
+    at * at * p0 +
+    2 * at * t * p1 +
+    t * t * p2;
+}
+
+double cubic(const double t, const double p0, const double p1, const double p2, const double p3) {
+  const double at = 1 - t;
+  return
+    at * at * at * p0 +
+    3 * at * at * t * p1 +
+    3 * at * t * t * p2 +
+    t * t * t * p3;
+}
+
+float linearf(const float t, const float p0, const float p1) {
+  return p0 + (p1 - p0) * t;
+}
+
+float quadraticf(const float t, const float p0, const float p1, const float p2) {
+  const float at = 1 - t;
+  return
+    at * at * p0 +
+    2 * at * t * p1 +
+    t * t * p2;
+}
+
+float cubicf(const float t, const float p0, const float p1, const float p2, const float p3) {
+  const float at = 1 - t;
+  return
+    at * at * at * p0 +
+    3 * at * at * t * p1 +
+    3 * at * t * t * p2 +
+    t * t * t * p3;
+}

src/bezier_core.h

@@ -0,0 +1,12 @@
+#ifndef __HMAH_BEZIER_CORE_H__
+#define __HMAH_BEZIER_CORE_H__
+
+double linear(double t, double p0, double p1);
+double quadratic(double t, double p0, double p1, double p2);
+double cubic(double t, double p0, double p1, double p2, double p3);
+
+float linearf(float t, float p0, float p1);
+float quadraticf(float t, float p0, float p1, float p2);
+float cubicf(float t, float p0, float p1, float p2, float p3);
+
+#endif // __HMAH_BEZIER_CORE_H__