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* Interpolation utilities for smooth CSS property transitions
*
* Used by the celebration wind-down system to morph between
* celebration and normal banner states over ~60 seconds.
*/
// =============================================================================
// Types
// =============================================================================
export interface RGB {
r: number
g: number
b: number
}
export interface RGBA extends RGB {
a: number
}
export interface GradientStop {
color: RGBA
position: number // percentage 0-100
}
export interface BoxShadow {
x: number
y: number
blur: number
spread: number
color: RGBA
inset?: boolean
}
// =============================================================================
// Basic Interpolation
// =============================================================================
/**
* Linear interpolation between two numbers
*/
export function lerp(start: number, end: number, t: number): number {
return start + (end - start) * t
}
/**
* Clamp a value between min and max
*/
export function clamp(value: number, min: number, max: number): number {
return Math.min(Math.max(value, min), max)
}
// =============================================================================
// Color Parsing & Interpolation
// =============================================================================
/**
* Parse a hex color to RGB
*/
export function hexToRgb(hex: string): RGB {
// Remove # if present
const cleanHex = hex.replace('#', '')
// Handle 3-char hex
const fullHex =
cleanHex.length === 3
? cleanHex
.split('')
.map((c) => c + c)
.join('')
: cleanHex
const num = parseInt(fullHex, 16)
return {
r: (num >> 16) & 255,
g: (num >> 8) & 255,
b: num & 255,
}
}
/**
* Convert RGB to hex string
*/
export function rgbToHex(r: number, g: number, b: number): string {
const toHex = (n: number) =>
Math.round(clamp(n, 0, 255))
.toString(16)
.padStart(2, '0')
return `#${toHex(r)}${toHex(g)}${toHex(b)}`
}
/**
* Parse an rgba() or rgb() string to RGBA
*/
export function parseRgba(str: string): RGBA {
// Handle rgba(r, g, b, a) or rgb(r, g, b)
const match = str.match(
/rgba?\(\s*([\d.]+)\s*,\s*([\d.]+)\s*,\s*([\d.]+)(?:\s*,\s*([\d.]+))?\s*\)/
)
if (match) {
return {
r: parseFloat(match[1]),
g: parseFloat(match[2]),
b: parseFloat(match[3]),
a: match[4] !== undefined ? parseFloat(match[4]) : 1,
}
}
// Handle hex
if (str.startsWith('#')) {
const rgb = hexToRgb(str)
return { ...rgb, a: 1 }
}
// Default to black
return { r: 0, g: 0, b: 0, a: 1 }
}
/**
* Interpolate between two hex colors
*/
export function lerpColor(startHex: string, endHex: string, t: number): string {
const start = hexToRgb(startHex)
const end = hexToRgb(endHex)
return rgbToHex(lerp(start.r, end.r, t), lerp(start.g, end.g, t), lerp(start.b, end.b, t))
}
/**
* Interpolate between two RGBA colors
*/
export function lerpRgba(start: RGBA, end: RGBA, t: number): RGBA {
return {
r: lerp(start.r, end.r, t),
g: lerp(start.g, end.g, t),
b: lerp(start.b, end.b, t),
a: lerp(start.a, end.a, t),
}
}
/**
* Convert RGBA to CSS string
*/
export function rgbaToString(rgba: RGBA): string {
return `rgba(${Math.round(rgba.r)}, ${Math.round(rgba.g)}, ${Math.round(rgba.b)}, ${rgba.a.toFixed(3)})`
}
/**
* Interpolate between two RGBA colors and return CSS string
*/
export function lerpRgbaString(start: RGBA, end: RGBA, t: number): string {
return rgbaToString(lerpRgba(start, end, t))
}
// =============================================================================
// Gradient Interpolation
// =============================================================================
/**
* Create a gradient stop
*/
export function gradientStop(
r: number,
g: number,
b: number,
a: number,
position: number
): GradientStop {
return { color: { r, g, b, a }, position }
}
/**
* Interpolate between two gradient stop arrays
* Both arrays must have the same number of stops
*/
export function lerpGradientStops(
start: GradientStop[],
end: GradientStop[],
t: number
): GradientStop[] {
if (start.length !== end.length) {
throw new Error('Gradient stop arrays must have the same length')
}
return start.map((startStop, i) => {
const endStop = end[i]
return {
color: lerpRgba(startStop.color, endStop.color, t),
position: lerp(startStop.position, endStop.position, t),
}
})
}
/**
* Convert gradient stops to CSS linear-gradient string
*/
export function gradientToCss(angle: number, stops: GradientStop[]): string {
const stopsStr = stops.map((s) => `${rgbaToString(s.color)} ${s.position}%`).join(', ')
return `linear-gradient(${angle}deg, ${stopsStr})`
}
/**
* Interpolate between two linear gradients
*/
export function lerpGradient(
startAngle: number,
startStops: GradientStop[],
endAngle: number,
endStops: GradientStop[],
t: number
): string {
const angle = lerp(startAngle, endAngle, t)
const stops = lerpGradientStops(startStops, endStops, t)
return gradientToCss(angle, stops)
}
// =============================================================================
// Box Shadow Interpolation
// =============================================================================
/**
* Create a box shadow
*/
export function boxShadow(
x: number,
y: number,
blur: number,
spread: number,
r: number,
g: number,
b: number,
a: number,
inset = false
): BoxShadow {
return { x, y, blur, spread, color: { r, g, b, a }, inset }
}
/**
* Create a transparent (invisible) shadow for padding arrays
*/
export function transparentShadow(): BoxShadow {
return boxShadow(0, 0, 0, 0, 0, 0, 0, 0)
}
/**
* Pad shadow array to target length with transparent shadows
*/
function padShadows(shadows: BoxShadow[], targetLength: number): BoxShadow[] {
const result = [...shadows]
while (result.length < targetLength) {
result.push(transparentShadow())
}
return result
}
/**
* Interpolate between two box shadows
*/
export function lerpBoxShadowSingle(start: BoxShadow, end: BoxShadow, t: number): BoxShadow {
return {
x: lerp(start.x, end.x, t),
y: lerp(start.y, end.y, t),
blur: lerp(start.blur, end.blur, t),
spread: lerp(start.spread, end.spread, t),
color: lerpRgba(start.color, end.color, t),
inset: t < 0.5 ? start.inset : end.inset,
}
}
/**
* Interpolate between two box shadow arrays
*/
export function lerpBoxShadows(start: BoxShadow[], end: BoxShadow[], t: number): BoxShadow[] {
const maxLen = Math.max(start.length, end.length)
const paddedStart = padShadows(start, maxLen)
const paddedEnd = padShadows(end, maxLen)
return paddedStart.map((s, i) => lerpBoxShadowSingle(s, paddedEnd[i], t))
}
/**
* Convert box shadow to CSS string
*/
export function boxShadowToCss(shadow: BoxShadow): string {
const { x, y, blur, spread, color, inset } = shadow
const insetStr = inset ? 'inset ' : ''
return `${insetStr}${x}px ${y}px ${blur}px ${spread}px ${rgbaToString(color)}`
}
/**
* Convert box shadow array to CSS string
*/
export function boxShadowsToCss(shadows: BoxShadow[]): string {
// Filter out completely transparent shadows
const visible = shadows.filter((s) => s.color.a > 0.001 || s.blur > 0)
if (visible.length === 0) return 'none'
return visible.map(boxShadowToCss).join(', ')
}
/**
* Interpolate between two box shadow arrays and return CSS string
*/
export function lerpBoxShadowString(start: BoxShadow[], end: BoxShadow[], t: number): string {
return boxShadowsToCss(lerpBoxShadows(start, end, t))
}
// =============================================================================
// Timing Functions
// =============================================================================
/**
* Quintic ease-out: starts extremely slow, accelerates toward end
* Perfect for imperceptible transitions
*/
export function easeOutQuint(t: number): number {
return 1 - (1 - t) ** 5
}
/**
* Quartic ease-out: slightly faster than quintic
*/
export function easeOutQuart(t: number): number {
return 1 - (1 - t) ** 4
}
/**
* Calculate wind-down progress for celebration banner
*
* @param elapsedMs - milliseconds since celebration started
* @returns progress from 0 (full celebration) to 1 (fully normal)
*/
export function windDownProgress(elapsedMs: number): number {
const BURST_DURATION_MS = 5_000 // 5 seconds of full celebration
const WIND_DOWN_DURATION_MS = 55_000 // 55 seconds to transition
if (elapsedMs < BURST_DURATION_MS) {
return 0 // Full celebration mode
}
const windDownElapsed = elapsedMs - BURST_DURATION_MS
if (windDownElapsed >= WIND_DOWN_DURATION_MS) {
return 1 // Fully transitioned to normal
}
const linearProgress = windDownElapsed / WIND_DOWN_DURATION_MS
return easeOutQuint(linearProgress)
}
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