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{"version":3,"file":"spring.mjs","sources":["../../../../src/animation/generators/spring.ts"],"sourcesContent":["import {\n clamp,\n millisecondsToSeconds,\n secondsToMilliseconds,\n warning,\n} from \"motion-utils\"\nimport {\n AnimationState,\n KeyframeGenerator,\n SpringOptions,\n Transition,\n ValueAnimationOptions,\n} from \"../types\"\nimport { generateLinearEasing } from \"../waapi/utils/linear\"\nimport {\n calcGeneratorDuration,\n maxGeneratorDuration,\n} from \"./utils/calc-duration\"\nimport { createGeneratorEasing } from \"./utils/create-generator-easing\"\n\nconst springDefaults = {\n // Default spring physics\n stiffness: 100,\n damping: 10,\n mass: 1.0,\n velocity: 0.0,\n\n // Default duration/bounce-based options\n duration: 800, // in ms\n bounce: 0.3,\n visualDuration: 0.3, // in seconds\n\n // Rest thresholds\n restSpeed: {\n granular: 0.01,\n default: 2,\n },\n restDelta: {\n granular: 0.005,\n default: 0.5,\n },\n\n // Limits\n minDuration: 0.01, // in seconds\n maxDuration: 10.0, // in seconds\n minDamping: 0.05,\n maxDamping: 1,\n}\n\nfunction calcAngularFreq(undampedFreq: number, dampingRatio: number) {\n return undampedFreq * Math.sqrt(1 - dampingRatio * dampingRatio)\n}\n\nconst rootIterations = 12\nfunction approximateRoot(\n envelope: (num: number) => number,\n derivative: (num: number) => number,\n initialGuess: number\n): number {\n let result = initialGuess\n for (let i = 1; i < rootIterations; i++) {\n result = result - envelope(result) / derivative(result)\n }\n return result\n}\n\n/**\n * This is ported from the Framer implementation of duration-based spring resolution.\n */\nconst safeMin = 0.001\n\nfunction findSpring({\n duration = springDefaults.duration,\n bounce = springDefaults.bounce,\n velocity = springDefaults.velocity,\n mass = springDefaults.mass,\n}: SpringOptions) {\n let envelope: (num: number) => number\n let derivative: (num: number) => number\n\n warning(\n duration <= secondsToMilliseconds(springDefaults.maxDuration),\n \"Spring duration must be 10 seconds or less\",\n \"spring-duration-limit\"\n )\n\n let dampingRatio = 1 - bounce\n\n /**\n * Restrict dampingRatio and duration to within acceptable ranges.\n */\n dampingRatio = clamp(\n springDefaults.minDamping,\n springDefaults.maxDamping,\n dampingRatio\n )\n duration = clamp(\n springDefaults.minDuration,\n springDefaults.maxDuration,\n millisecondsToSeconds(duration)\n )\n\n if (dampingRatio < 1) {\n /**\n * Underdamped spring\n */\n envelope = (undampedFreq) => {\n const exponentialDecay = undampedFreq * dampingRatio\n const delta = exponentialDecay * duration\n const a = exponentialDecay - velocity\n const b = calcAngularFreq(undampedFreq, dampingRatio)\n const c = Math.exp(-delta)\n return safeMin - (a / b) * c\n }\n\n derivative = (undampedFreq) => {\n const exponentialDecay = undampedFreq * dampingRatio\n const delta = exponentialDecay * duration\n const d = delta * velocity + velocity\n const e =\n Math.pow(dampingRatio, 2) * Math.pow(undampedFreq, 2) * duration\n const f = Math.exp(-delta)\n const g = calcAngularFreq(Math.pow(undampedFreq, 2), dampingRatio)\n const factor = -envelope(undampedFreq) + safeMin > 0 ? -1 : 1\n return (factor * ((d - e) * f)) / g\n }\n } else {\n /**\n * Critically-damped spring\n */\n envelope = (undampedFreq) => {\n const a = Math.exp(-undampedFreq * duration)\n const b = (undampedFreq - velocity) * duration + 1\n return -safeMin + a * b\n }\n\n derivative = (undampedFreq) => {\n const a = Math.exp(-undampedFreq * duration)\n const b = (velocity - undampedFreq) * (duration * duration)\n return a * b\n }\n }\n\n const initialGuess = 5 / duration\n const undampedFreq = approximateRoot(envelope, derivative, initialGuess)\n\n duration = secondsToMilliseconds(duration)\n if (isNaN(undampedFreq)) {\n return {\n stiffness: springDefaults.stiffness,\n damping: springDefaults.damping,\n duration,\n }\n } else {\n const stiffness = Math.pow(undampedFreq, 2) * mass\n return {\n stiffness,\n damping: dampingRatio * 2 * Math.sqrt(mass * stiffness),\n duration,\n }\n }\n}\n\nconst durationKeys = [\"duration\", \"bounce\"]\nconst physicsKeys = [\"stiffness\", \"damping\", \"mass\"]\n\nfunction isSpringType(options: SpringOptions, keys: string[]) {\n return keys.some((key) => (options as any)[key] !== undefined)\n}\n\nfunction getSpringOptions(options: SpringOptions) {\n let springOptions = {\n velocity: springDefaults.velocity,\n stiffness: springDefaults.stiffness,\n damping: springDefaults.damping,\n mass: springDefaults.mass,\n isResolvedFromDuration: false,\n ...options,\n }\n // stiffness/damping/mass overrides duration/bounce\n if (\n !isSpringType(options, physicsKeys) &&\n isSpringType(options, durationKeys)\n ) {\n // Time-defined springs should ignore inherited velocity.\n // Velocity from interrupted animations can cause findSpring()\n // to compute wildly different spring parameters, leading to\n // massive oscillation on small-range animations.\n springOptions.velocity = 0\n\n if (options.visualDuration) {\n const visualDuration = options.visualDuration\n const root = (2 * Math.PI) / (visualDuration * 1.2)\n const stiffness = root * root\n const damping =\n 2 *\n clamp(0.05, 1, 1 - (options.bounce || 0)) *\n Math.sqrt(stiffness)\n\n springOptions = {\n ...springOptions,\n mass: springDefaults.mass,\n stiffness,\n damping,\n }\n } else {\n const derived = findSpring({ ...options, velocity: 0 })\n\n springOptions = {\n ...springOptions,\n ...derived,\n mass: springDefaults.mass,\n }\n springOptions.isResolvedFromDuration = true\n }\n }\n\n return springOptions\n}\n\nfunction spring(\n optionsOrVisualDuration:\n | ValueAnimationOptions<number>\n | number = springDefaults.visualDuration,\n bounce = springDefaults.bounce\n): KeyframeGenerator<number> {\n const options =\n typeof optionsOrVisualDuration !== \"object\"\n ? ({\n visualDuration: optionsOrVisualDuration,\n keyframes: [0, 1],\n bounce,\n } as ValueAnimationOptions<number>)\n : optionsOrVisualDuration\n\n let { restSpeed, restDelta } = options\n\n const origin = options.keyframes[0]\n const target = options.keyframes[options.keyframes.length - 1]\n\n /**\n * This is the Iterator-spec return value. We ensure it's mutable rather than using a generator\n * to reduce GC during animation.\n */\n const state: AnimationState<number> = { done: false, value: origin }\n\n const {\n stiffness,\n damping,\n mass,\n duration,\n velocity,\n isResolvedFromDuration,\n } = getSpringOptions({\n ...options,\n velocity: -millisecondsToSeconds(options.velocity || 0),\n })\n\n const initialVelocity = velocity || 0.0\n const dampingRatio = damping / (2 * Math.sqrt(stiffness * mass))\n\n const initialDelta = target - origin\n const undampedAngularFreq = millisecondsToSeconds(\n Math.sqrt(stiffness / mass)\n )\n\n /**\n * If we're working on a granular scale, use smaller defaults for determining\n * when the spring is finished.\n *\n * These defaults have been selected emprically based on what strikes a good\n * ratio between feeling good and finishing as soon as changes are imperceptible.\n */\n const isGranularScale = Math.abs(initialDelta) < 5\n restSpeed ||= isGranularScale\n ? springDefaults.restSpeed.granular\n : springDefaults.restSpeed.default\n restDelta ||= isGranularScale\n ? springDefaults.restDelta.granular\n : springDefaults.restDelta.default\n\n let resolveSpring: (v: number) => number\n let resolveVelocity: (t: number) => number\n\n // Underdamped coefficients, hoisted for use in the inlined next() hot path\n let angularFreq: number\n let A: number\n let sinCoeff: number\n let cosCoeff: number\n\n if (dampingRatio < 1) {\n angularFreq = calcAngularFreq(undampedAngularFreq, dampingRatio)\n\n A =\n (initialVelocity +\n dampingRatio * undampedAngularFreq * initialDelta) /\n angularFreq\n\n // Underdamped spring\n resolveSpring = (t: number) => {\n const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t)\n\n return (\n target -\n envelope *\n (A * Math.sin(angularFreq * t) +\n initialDelta * Math.cos(angularFreq * t))\n )\n }\n\n // Analytical derivative of underdamped spring (px/ms)\n sinCoeff =\n dampingRatio * undampedAngularFreq * A + initialDelta * angularFreq\n cosCoeff =\n dampingRatio * undampedAngularFreq * initialDelta - A * angularFreq\n resolveVelocity = (t: number) => {\n const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t)\n return envelope *\n (sinCoeff * Math.sin(angularFreq * t) +\n cosCoeff * Math.cos(angularFreq * t))\n }\n } else if (dampingRatio === 1) {\n // Critically damped spring\n resolveSpring = (t: number) =>\n target -\n Math.exp(-undampedAngularFreq * t) *\n (initialDelta +\n (initialVelocity + undampedAngularFreq * initialDelta) * t)\n\n // Analytical derivative of critically damped spring (px/ms)\n const C = initialVelocity + undampedAngularFreq * initialDelta\n resolveVelocity = (t: number) =>\n Math.exp(-undampedAngularFreq * t) *\n (undampedAngularFreq * C * t - initialVelocity)\n } else {\n // Overdamped spring\n const dampedAngularFreq =\n undampedAngularFreq * Math.sqrt(dampingRatio * dampingRatio - 1)\n\n resolveSpring = (t: number) => {\n const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t)\n\n // When performing sinh or cosh values can hit Infinity so we cap them here\n const freqForT = Math.min(dampedAngularFreq * t, 300)\n\n return (\n target -\n (envelope *\n ((initialVelocity +\n dampingRatio * undampedAngularFreq * initialDelta) *\n Math.sinh(freqForT) +\n dampedAngularFreq *\n initialDelta *\n Math.cosh(freqForT))) /\n dampedAngularFreq\n )\n }\n\n // Analytical derivative of overdamped spring (px/ms)\n const P =\n (initialVelocity +\n dampingRatio * undampedAngularFreq * initialDelta) /\n dampedAngularFreq\n const sinhCoeff =\n dampingRatio * undampedAngularFreq * P - initialDelta * dampedAngularFreq\n const coshCoeff =\n dampingRatio * undampedAngularFreq * initialDelta - P * dampedAngularFreq\n resolveVelocity = (t: number) => {\n const envelope = Math.exp(-dampingRatio * undampedAngularFreq * t)\n const freqForT = Math.min(dampedAngularFreq * t, 300)\n return envelope *\n (sinhCoeff * Math.sinh(freqForT) +\n coshCoeff * Math.cosh(freqForT))\n }\n }\n\n const generator = {\n calculatedDuration: isResolvedFromDuration ? duration || null : null,\n velocity: (t: number) => secondsToMilliseconds(resolveVelocity(t)),\n next: (t: number) => {\n /**\n * For underdamped physics springs we need both position and\n * velocity each tick. Compute shared trig values once to avoid\n * duplicate Math.exp/sin/cos calls on the hot path.\n */\n if (!isResolvedFromDuration && dampingRatio < 1) {\n const envelope = Math.exp(\n -dampingRatio * undampedAngularFreq * t\n )\n const sin = Math.sin(angularFreq * t)\n const cos = Math.cos(angularFreq * t)\n\n const current =\n target -\n envelope *\n (A * sin + initialDelta * cos)\n const currentVelocity = secondsToMilliseconds(\n envelope *\n (sinCoeff * sin + cosCoeff * cos)\n )\n\n state.done =\n Math.abs(currentVelocity) <= restSpeed! &&\n Math.abs(target - current) <= restDelta!\n state.value = state.done ? target : current\n\n return state\n }\n\n const current = resolveSpring(t)\n\n if (!isResolvedFromDuration) {\n const currentVelocity = secondsToMilliseconds(\n resolveVelocity(t)\n )\n state.done =\n Math.abs(currentVelocity) <= restSpeed! &&\n Math.abs(target - current) <= restDelta!\n } else {\n state.done = t >= duration!\n }\n\n state.value = state.done ? target : current\n\n return state\n },\n toString: () => {\n const calculatedDuration = Math.min(\n calcGeneratorDuration(generator),\n maxGeneratorDuration\n )\n\n const easing = generateLinearEasing(\n (progress: number) =>\n generator.next(calculatedDuration * progress).value,\n calculatedDuration,\n 30\n )\n\n return calculatedDuration + \"ms \" + easing\n },\n toTransition: () => {},\n }\n\n return generator\n}\n\nspring.applyToOptions = (options: Transition) => {\n const generatorOptions = createGeneratorEasing(options as any, 100, spring)\n\n options.ease = generatorOptions.ease\n options.duration = secondsToMilliseconds(generatorOptions.duration)\n options.type = \"keyframes\"\n return options\n}\n\nexport { spring 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