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- import { warning, secondsToMilliseconds, millisecondsToSeconds } from 'motion-utils';
- import { clamp } from '../../../utils/clamp.mjs';
- import { springDefaults } from './defaults.mjs';
- const safeMin = 0.001;
- function findSpring({ duration = springDefaults.duration, bounce = springDefaults.bounce, velocity = springDefaults.velocity, mass = springDefaults.mass, }) {
- let envelope;
- let derivative;
- warning(duration <= secondsToMilliseconds(springDefaults.maxDuration), "Spring duration must be 10 seconds or less");
- let dampingRatio = 1 - bounce;
- /**
- * Restrict dampingRatio and duration to within acceptable ranges.
- */
- dampingRatio = clamp(springDefaults.minDamping, springDefaults.maxDamping, dampingRatio);
- duration = clamp(springDefaults.minDuration, springDefaults.maxDuration, millisecondsToSeconds(duration));
- if (dampingRatio < 1) {
- /**
- * Underdamped spring
- */
- envelope = (undampedFreq) => {
- const exponentialDecay = undampedFreq * dampingRatio;
- const delta = exponentialDecay * duration;
- const a = exponentialDecay - velocity;
- const b = calcAngularFreq(undampedFreq, dampingRatio);
- const c = Math.exp(-delta);
- return safeMin - (a / b) * c;
- };
- derivative = (undampedFreq) => {
- const exponentialDecay = undampedFreq * dampingRatio;
- const delta = exponentialDecay * duration;
- const d = delta * velocity + velocity;
- const e = Math.pow(dampingRatio, 2) * Math.pow(undampedFreq, 2) * duration;
- const f = Math.exp(-delta);
- const g = calcAngularFreq(Math.pow(undampedFreq, 2), dampingRatio);
- const factor = -envelope(undampedFreq) + safeMin > 0 ? -1 : 1;
- return (factor * ((d - e) * f)) / g;
- };
- }
- else {
- /**
- * Critically-damped spring
- */
- envelope = (undampedFreq) => {
- const a = Math.exp(-undampedFreq * duration);
- const b = (undampedFreq - velocity) * duration + 1;
- return -safeMin + a * b;
- };
- derivative = (undampedFreq) => {
- const a = Math.exp(-undampedFreq * duration);
- const b = (velocity - undampedFreq) * (duration * duration);
- return a * b;
- };
- }
- const initialGuess = 5 / duration;
- const undampedFreq = approximateRoot(envelope, derivative, initialGuess);
- duration = secondsToMilliseconds(duration);
- if (isNaN(undampedFreq)) {
- return {
- stiffness: springDefaults.stiffness,
- damping: springDefaults.damping,
- duration,
- };
- }
- else {
- const stiffness = Math.pow(undampedFreq, 2) * mass;
- return {
- stiffness,
- damping: dampingRatio * 2 * Math.sqrt(mass * stiffness),
- duration,
- };
- }
- }
- const rootIterations = 12;
- function approximateRoot(envelope, derivative, initialGuess) {
- let result = initialGuess;
- for (let i = 1; i < rootIterations; i++) {
- result = result - envelope(result) / derivative(result);
- }
- return result;
- }
- function calcAngularFreq(undampedFreq, dampingRatio) {
- return undampedFreq * Math.sqrt(1 - dampingRatio * dampingRatio);
- }
- export { calcAngularFreq, findSpring };
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