Add configurable vibe presets

src/utils/math.ts

@@ -0,0 +1,29 @@
+export const clamp = (value: number, min: number, max: number): number =>
+  Math.min(max, Math.max(min, value));
+
+export const clamp01 = (value: number): number => clamp(value, 0, 1);
+
+export const mix = (from: number, to: number, amount: number): number =>
+  from + (to - from) * amount;
+
+export const mixAngle = (from: number, to: number, amount: number): number => {
+  const delta = Math.atan2(Math.sin(to - from), Math.cos(to - from));
+  return from + delta * amount;
+};
+
+export const approach = (
+  current: number,
+  target: number,
+  elapsedSeconds: number,
+  timeConstantSeconds: number
+): number => {
+  const amount = 1 - Math.exp(-elapsedSeconds / Math.max(0.001, timeConstantSeconds));
+  return mix(current, target, amount);
+};
+
+export const smoothstep = (edge0: number, edge1: number, value: number): number => {
+  const amount = clamp01((value - edge0) / (edge1 - edge0));
+  return amount * amount * (3 - 2 * amount);
+};
+
+export const easeOutQuad = (value: number): number => value * (2 - value);