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dimitar committed 2024-11-01 22:13:14 +01:00
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import { warning } from '../../../utils/errors.mjs';
import { clamp } from '../../../utils/clamp.mjs';
import { secondsToMilliseconds, millisecondsToSeconds } from '../../../utils/time-conversion.mjs';
const safeMin = 0.001;
const minDuration = 0.01;
const maxDuration = 10.0;
const minDamping = 0.05;
const maxDamping = 1;
function findSpring({ duration = 800, bounce = 0.25, velocity = 0, mass = 1, }) {
let envelope;
let derivative;
warning(duration <= secondsToMilliseconds(maxDuration), "Spring duration must be 10 seconds or less");
let dampingRatio = 1 - bounce;
/**
* Restrict dampingRatio and duration to within acceptable ranges.
*/
dampingRatio = clamp(minDamping, maxDamping, dampingRatio);
duration = clamp(minDuration, 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: 100,
damping: 10,
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, maxDamping, maxDuration, minDamping, minDuration };
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import { millisecondsToSeconds, secondsToMilliseconds } from '../../../utils/time-conversion.mjs';
import { calcGeneratorVelocity } from '../utils/velocity.mjs';
import { findSpring, calcAngularFreq } from './find.mjs';
const durationKeys = ["duration", "bounce"];
const physicsKeys = ["stiffness", "damping", "mass"];
function isSpringType(options, keys) {
return keys.some((key) => options[key] !== undefined);
}
function getSpringOptions(options) {
let springOptions = {
velocity: 0.0,
stiffness: 100,
damping: 10,
mass: 1.0,
isResolvedFromDuration: false,
...options,
};
// stiffness/damping/mass overrides duration/bounce
if (!isSpringType(options, physicsKeys) &&
isSpringType(options, durationKeys)) {
const derived = findSpring(options);
springOptions = {
...springOptions,
...derived,
mass: 1.0,
};
springOptions.isResolvedFromDuration = true;
}
return springOptions;
}
function spring({ keyframes, restDelta, restSpeed, ...options }) {
const origin = keyframes[0];
const target = keyframes[keyframes.length - 1];
/**
* This is the Iterator-spec return value. We ensure it's mutable rather than using a generator
* to reduce GC during animation.
*/
const state = { done: false, value: origin };
const { stiffness, damping, mass, duration, velocity, isResolvedFromDuration, } = getSpringOptions({
...options,
velocity: -millisecondsToSeconds(options.velocity || 0),
});
const initialVelocity = velocity || 0.0;
const dampingRatio = damping / (2 * Math.sqrt(stiffness * mass));
const initialDelta = target - origin;
const undampedAngularFreq = millisecondsToSeconds(Math.sqrt(stiffness / mass));
/**
* If we're working on a granular scale, use smaller defaults for determining
* when the spring is finished.
*
* These defaults have been selected emprically based on what strikes a good
* ratio between feeling good and finishing as soon as changes are imperceptible.
*/
const isGranularScale = Math.abs(initialDelta) < 5;
restSpeed || (restSpeed = isGranularScale ? 0.01 : 2);
restDelta || (restDelta = isGranularScale ? 0.005 : 0.5);
let resolveSpring;
if (dampingRatio < 1) {
const angularFreq = calcAngularFreq(undampedAngularFreq, dampingRatio);
// Underdamped spring
resolveSpring = (t) => {
const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t);
return (target -
envelope *
(((initialVelocity +
dampingRatio * undampedAngularFreq * initialDelta) /
angularFreq) *
Math.sin(angularFreq * t) +
initialDelta * Math.cos(angularFreq * t)));
};
}
else if (dampingRatio === 1) {
// Critically damped spring
resolveSpring = (t) => target -
Math.exp(-undampedAngularFreq * t) *
(initialDelta +
(initialVelocity + undampedAngularFreq * initialDelta) * t);
}
else {
// Overdamped spring
const dampedAngularFreq = undampedAngularFreq * Math.sqrt(dampingRatio * dampingRatio - 1);
resolveSpring = (t) => {
const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t);
// When performing sinh or cosh values can hit Infinity so we cap them here
const freqForT = Math.min(dampedAngularFreq * t, 300);
return (target -
(envelope *
((initialVelocity +
dampingRatio * undampedAngularFreq * initialDelta) *
Math.sinh(freqForT) +
dampedAngularFreq *
initialDelta *
Math.cosh(freqForT))) /
dampedAngularFreq);
};
}
return {
calculatedDuration: isResolvedFromDuration ? duration || null : null,
next: (t) => {
const current = resolveSpring(t);
if (!isResolvedFromDuration) {
let currentVelocity = 0.0;
/**
* We only need to calculate velocity for under-damped springs
* as over- and critically-damped springs can't overshoot, so
* checking only for displacement is enough.
*/
if (dampingRatio < 1) {
currentVelocity =
t === 0
? secondsToMilliseconds(initialVelocity)
: calcGeneratorVelocity(resolveSpring, t, current);
}
const isBelowVelocityThreshold = Math.abs(currentVelocity) <= restSpeed;
const isBelowDisplacementThreshold = Math.abs(target - current) <= restDelta;
state.done =
isBelowVelocityThreshold && isBelowDisplacementThreshold;
}
else {
state.done = t >= duration;
}
state.value = state.done ? target : current;
return state;
},
};
}
export { spring };