Cut duplicated and speculative code across the package

An over-engineering audit of the whole tree, applied in five reviewed
batches. Behaviour stays the same except where UPGRADE.md says otherwise.

PHP: the showcase and error-page stylesheets are prebuilt into
resources/dist by bin/stylesheets.mjs, through Vite's own postcss-import
(first occurrence kept, the order an application's build gives), instead
of Stylesheets::bundle() inlining imports on every request; only the
import walk DesignGuard needs stays. SchemeStylesheet::withProfiles()
replaces three copies of the scheme-plus-profiles loop, material:scheme
leaves spec and contrast checks to the node script that already made
them, and the error page's scheme cache, the hashed view namespace, the
translations path with no lang/ folder and DesignGuard's 1.x-name hints
are gone.

JS: the androidx shape port progress.js and both bin scripts each carried
lives once in resources/js/shapes.js (the generated SVGs are unchanged);
util.js holds ringIndex(), ms(), reopenGuard() and remember(), which
were written out several times; listeners are released through
AbortController; tooltip.js's hoverPopover() serves the rich tooltip too.

CSS: every rule for an element inside the navigation rail queries
`--md-navigation-rail-value` instead of repeating the seven collapsed
conditions under five media branches; badge, alert, progress, slider and
button read one non-inheriting colour-role table (components/color.css);
the dialog chrome, the submenu's popover chrome, the chip's state layer
and touch target, and the visually-hidden inputs use the shared rules
they copied; foundation/tokens.css is folded into foundation.css.

Views: Support\Field and Support\Link replace the error-key, bound-value
and link-attribute blocks copied into the fields and link components;
the timepicker period group, the menu filter and the showcase head are
partials; the datepicker's steppers and entry fields are loops; component
docblocks no longer restate SKILL.md.

Tests and tooling: one dataset-driven ComponentStylesheetsTest replaces
four per-group files, DesignGuardTest and the layout-component tests use
datasets, browser tests share one ready() helper, CSS parsing lives in
ComponentStylesheet alone. docs/audits and the finding IDs citing it are
removed, as are pestphp/pest-plugin-laravel, the unused composer scripts
and check:font; the lint job runs in the feature job, which now installs
node packages so the prebuilt-stylesheet staleness test runs in CI.

Feature suite 1177 passed, Chrome browser suite 299 passed.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
This commit is contained in:
Andreas Reinhold / reini
2026-09-17 19:29:21 +02:00
co-authored by Claude Opus 5
parent 471d927e64
commit 247c596c3a
233 changed files with 16635 additions and 10579 deletions
+772
View File
@@ -0,0 +1,772 @@
/**
* Shared, DOM-free geometry: androidx's graphics-shapes (RoundedPolygon — a shape built from
* vertices with per-corner rounding, turned into cubic Béziers) and its Morph (matching two
* shapes' cubics so they can be interpolated). Used by bin/shapes.mjs and bin/loading-indicator.mjs
* to build the shape and loading-indicator SVGs at commit time, and by progress.js to morph the
* circular wavy progress indicator's star and circle at runtime.
*
* ---------------------------------------------------------------------------------------
* Ported from androidx (https://github.com/androidx/androidx), commit
* 27cf9a7d5788aa0f5f2d8b6699ce279560daf326:
*
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/CornerRounding.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/Cubic.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/FeatureMapping.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/FloatMapping.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/Morph.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/Point.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/PolygonMeasure.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/RoundedPolygon.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/Shapes.kt
* graphics/graphics-shapes/src/commonMain/kotlin/androidx/graphics/shapes/Utils.kt
*
* Copyright 2022-2025 The Android Open Source Project
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
* ---------------------------------------------------------------------------------------
*/
const DISTANCE_EPSILON = 1e-4
const ANGLE_EPSILON = 1e-6
// Point.kt / Utils.kt ---------------------------------------------------------------------
const point = (x, y) => ({ x, y })
const plus = (a, b) => point(a.x + b.x, a.y + b.y)
const minus = (a, b) => point(a.x - b.x, a.y - b.y)
const times = (a, k) => point(a.x * k, a.y * k)
const div = (a, k) => point(a.x / k, a.y / k)
const dot = (a, b) => a.x * b.x + a.y * b.y
const length = (a) => Math.sqrt(a.x * a.x + a.y * a.y)
const rotate90 = (a) => point(-a.y, a.x)
const lerp = (a, b, f) => (1 - f) * a + f * b
const lerpPoint = (a, b, f) => point(lerp(a.x, b.x, f), lerp(a.y, b.y, f))
const radialToCartesian = (radius, angle) => point(Math.cos(angle) * radius, Math.sin(angle) * radius)
const convex = (previous, current, next) => {
const [a, b] = [minus(current, previous), minus(next, current)]
return a.x * b.y - a.y * b.x > 0
}
function direction(a) {
const d = length(a)
if (!(d > 0)) {
throw new Error("Can't get the direction of a 0-length vector")
}
return div(a, d)
}
// Cubic.kt ----------------------------------------------------------------------------------
/** A cubic is [anchor0X, anchor0Y, control0X, control0Y, control1X, control1Y, anchor1X, anchor1Y]. */
const cubic = (a0, c0, c1, a1) => [a0.x, a0.y, c0.x, c0.y, c1.x, c1.y, a1.x, a1.y]
const straightLine = (x0, y0, x1, y1) => [x0, y0, lerp(x0, x1, 1 / 3), lerp(y0, y1, 1 / 3), lerp(x0, x1, 2 / 3), lerp(y0, y1, 2 / 3), x1, y1]
function circularArc(centerX, centerY, x0, y0, x1, y1) {
const p0d = direction(point(x0 - centerX, y0 - centerY))
const p1d = direction(point(x1 - centerX, y1 - centerY))
const rotatedP0 = rotate90(p0d)
const rotatedP1 = rotate90(p1d)
const clockwise = dot(rotatedP0, point(x1 - centerX, y1 - centerY)) >= 0
const cosa = dot(p0d, p1d)
if (cosa > 0.999) {
return straightLine(x0, y0, x1, y1)
}
const k =
(((length(point(x0 - centerX, y0 - centerY)) * 4) / 3) * (Math.sqrt(2 * (1 - cosa)) - Math.sqrt(1 - cosa * cosa))) /
(1 - cosa) *
(clockwise ? 1 : -1)
return [x0, y0, x0 + rotatedP0.x * k, y0 + rotatedP0.y * k, x1 - rotatedP1.x * k, y1 - rotatedP1.y * k, x1, y1]
}
function pointOnCurve(c, t) {
const u = 1 - t
return point(
c[0] * (u * u * u) + c[2] * (3 * t * u * u) + c[4] * (3 * t * t * u) + c[6] * (t * t * t),
c[1] * (u * u * u) + c[3] * (3 * t * u * u) + c[5] * (3 * t * t * u) + c[7] * (t * t * t),
)
}
function split(c, t) {
const u = 1 - t
const p = pointOnCurve(c, t)
return [
[c[0], c[1], c[0] * u + c[2] * t, c[1] * u + c[3] * t, c[0] * (u * u) + c[2] * (2 * u * t) + c[4] * (t * t), c[1] * (u * u) + c[3] * (2 * u * t) + c[5] * (t * t), p.x, p.y],
[p.x, p.y, c[2] * (u * u) + c[4] * (2 * u * t) + c[6] * (t * t), c[3] * (u * u) + c[5] * (2 * u * t) + c[7] * (t * t), c[4] * u + c[6] * t, c[5] * u + c[7] * t, c[6], c[7]],
]
}
const reverse = (c) => [c[6], c[7], c[4], c[5], c[2], c[3], c[0], c[1]]
const zeroLength = (c) => Math.abs(c[0] - c[6]) < DISTANCE_EPSILON && Math.abs(c[1] - c[7]) < DISTANCE_EPSILON
const clamp = (value, min, max) => Math.min(Math.max(value, min), max)
/** The parameters in (0, 1) where one axis of a cubic turns: the roots of its derivative. */
function turningPoints(c, axis) {
const [p0, p1, p2, p3] = [c[axis], c[axis + 2], c[axis + 4], c[axis + 6]]
const a = -p0 + 3 * p1 - 3 * p2 + p3
const b = 2 * (p0 - 2 * p1 + p2)
const k = p1 - p0
const roots = []
if (Math.abs(a) < 1e-9) {
if (Math.abs(b) > 1e-9) {
roots.push(-k / b)
}
} else if (b * b - 4 * a * k >= 0) {
const root = Math.sqrt(b * b - 4 * a * k)
roots.push((-b + root) / (2 * a), (-b - root) / (2 * a))
}
return roots.filter((t) => t > 1e-6 && t < 1 - 1e-6)
}
/** Axis-aligned bounds of one cubic: of all four points when approximate, else of the curve itself. */
function cubicBounds(c, approximate) {
const xs = [c[0], c[6]]
const ys = [c[1], c[7]]
if (approximate) {
xs.push(c[2], c[4])
ys.push(c[3], c[5])
} else {
turningPoints(c, 0).forEach((t) => xs.push(pointOnCurve(c, t).x))
turningPoints(c, 1).forEach((t) => ys.push(pointOnCurve(c, t).y))
}
return [Math.min(...xs), Math.min(...ys), Math.max(...xs), Math.max(...ys)]
}
// CornerRounding.kt ---------------------------------------------------------------------------
const rounding = (radius = 0, smoothing = 0) => ({ radius, smoothing })
const UNROUNDED = rounding()
// RoundedPolygon.kt ---------------------------------------------------------------------------
class RoundedCorner {
constructor(p0, p1, p2, cornerRounding) {
this.p0 = p0
this.p1 = p1
this.p2 = p2
const v01 = minus(p0, p1)
const v21 = minus(p2, p1)
const d01 = length(v01)
const d21 = length(v21)
if (d01 > 0 && d21 > 0) {
this.d1 = div(v01, d01)
this.d2 = div(v21, d21)
this.cornerRadius = cornerRounding?.radius ?? 0
this.smoothing = cornerRounding?.smoothing ?? 0
this.cosAngle = dot(this.d1, this.d2)
this.sinAngle = Math.sqrt(1 - this.cosAngle * this.cosAngle)
this.expectedRoundCut = this.sinAngle > 1e-3 ? (this.cornerRadius * (this.cosAngle + 1)) / this.sinAngle : 0
} else {
this.d1 = point(0, 0)
this.d2 = point(0, 0)
this.cornerRadius = 0
this.smoothing = 0
this.cosAngle = 0
this.sinAngle = 0
this.expectedRoundCut = 0
}
}
get expectedCut() {
return (1 + this.smoothing) * this.expectedRoundCut
}
getCubics(allowedCut0, allowedCut1 = allowedCut0) {
const allowedCut = Math.min(allowedCut0, allowedCut1)
if (this.expectedRoundCut < DISTANCE_EPSILON || allowedCut < DISTANCE_EPSILON || this.cornerRadius < DISTANCE_EPSILON) {
return [straightLine(this.p1.x, this.p1.y, this.p1.x, this.p1.y)]
}
const actualRoundCut = Math.min(allowedCut, this.expectedRoundCut)
const actualSmoothing0 = this.actualSmoothing(allowedCut0)
const actualSmoothing1 = this.actualSmoothing(allowedCut1)
const actualR = (this.cornerRadius * actualRoundCut) / this.expectedRoundCut
const centerDistance = Math.sqrt(actualR * actualR + actualRoundCut * actualRoundCut)
const center = plus(this.p1, times(direction(div(plus(this.d1, this.d2), 2)), centerDistance))
const circleIntersection0 = plus(this.p1, times(this.d1, actualRoundCut))
const circleIntersection2 = plus(this.p1, times(this.d2, actualRoundCut))
const flanking0 = this.flankingCurve(actualRoundCut, actualSmoothing0, this.p1, this.p0, circleIntersection0, circleIntersection2, center, actualR)
const flanking2 = reverse(this.flankingCurve(actualRoundCut, actualSmoothing1, this.p1, this.p2, circleIntersection2, circleIntersection0, center, actualR))
return [flanking0, circularArc(center.x, center.y, flanking0[6], flanking0[7], flanking2[0], flanking2[1]), flanking2]
}
actualSmoothing(allowedCut) {
if (allowedCut > this.expectedCut) {
return this.smoothing
}
if (allowedCut > this.expectedRoundCut) {
return (this.smoothing * (allowedCut - this.expectedRoundCut)) / (this.expectedCut - this.expectedRoundCut)
}
return 0
}
flankingCurve(actualRoundCut, smoothing, corner, sideStart, intersection, otherIntersection, circleCenter, actualR) {
const sideDirection = direction(minus(sideStart, corner))
const curveStart = plus(corner, times(sideDirection, actualRoundCut * (1 + smoothing)))
const p = lerpPoint(intersection, div(plus(intersection, otherIntersection), 2), smoothing)
const curveEnd = plus(circleCenter, times(direction(minus(p, circleCenter)), actualR))
const circleTangent = rotate90(minus(curveEnd, circleCenter))
const anchorEnd = lineIntersection(sideStart, sideDirection, curveEnd, circleTangent) ?? intersection
const anchorStart = div(plus(curveStart, times(anchorEnd, 2)), 3)
return cubic(curveStart, anchorStart, anchorEnd, curveEnd)
}
}
function lineIntersection(p0, d0, p1, d1) {
const rotatedD1 = rotate90(d1)
const den = dot(d0, rotatedD1)
if (Math.abs(den) < DISTANCE_EPSILON) {
return null
}
const num = dot(minus(p1, p0), rotatedD1)
if (Math.abs(den) < DISTANCE_EPSILON * Math.abs(num)) {
return null
}
return plus(p0, times(d0, num / den))
}
/**
* A polygon as androidx keeps it: its features (corners and the edges between them, each a
* list of cubics) and a centre. `cubics` flattens the features exactly as RoundedPolygon does.
*/
class RoundedPolygon {
constructor(features, center) {
this.features = features
this.center = center
this.cubics = flatten(features, center)
}
transformed(f) {
const move = (c) => {
const out = []
for (let i = 0; i < 8; i += 2) {
const p = f(c[i], c[i + 1])
out.push(p.x, p.y)
}
return out
}
return new RoundedPolygon(
this.features.map((feature) => ({ ...feature, cubics: feature.cubics.map(move) })),
f(this.center.x, this.center.y),
)
}
bounds(approximate) {
const all = this.cubics.map((c) => (zeroLength(c) ? [c[0], c[1], c[0], c[1]] : cubicBounds(c, approximate)))
return [Math.min(...all.map((b) => b[0])), Math.min(...all.map((b) => b[1])), Math.max(...all.map((b) => b[2])), Math.max(...all.map((b) => b[3]))]
}
/** RoundedPolygon.normalized: into the unit square, by the approximate (control point) bounds. */
normalized() {
const [left, top, right, bottom] = this.bounds(true)
const width = right - left
const height = bottom - top
const side = Math.max(width, height)
const offsetX = (side - width) / 2 - left
const offsetY = (side - height) / 2 - top
return this.transformed((x, y) => point((x + offsetX) / side, (y + offsetY) / side))
}
}
function flatten(features, center) {
const out = []
let firstCubic = null
let lastCubic = null
let firstFeatureSplitStart = null
let firstFeatureSplitEnd = null
if (features.length > 0 && features[0].cubics.length === 3) {
const [start, end] = split(features[0].cubics[1], 0.5)
firstFeatureSplitStart = [features[0].cubics[0], start]
firstFeatureSplitEnd = [end, features[0].cubics[2]]
}
for (let i = 0; i <= features.length; i++) {
let featureCubics
if (i === 0 && firstFeatureSplitEnd !== null) {
featureCubics = firstFeatureSplitEnd
} else if (i === features.length) {
if (firstFeatureSplitStart === null) {
break
}
featureCubics = firstFeatureSplitStart
} else {
featureCubics = features[i].cubics
}
for (const c of featureCubics) {
if (!zeroLength(c)) {
if (lastCubic !== null) {
out.push(lastCubic)
}
lastCubic = c
firstCubic ??= c
} else if (lastCubic !== null) {
lastCubic = [...lastCubic]
lastCubic[6] = c[0]
lastCubic[7] = c[1]
}
}
}
if (lastCubic !== null && firstCubic !== null) {
out.push([...lastCubic.slice(0, 6), firstCubic[0], firstCubic[1]])
} else {
out.push([center.x, center.y, center.x, center.y, center.x, center.y, center.x, center.y])
}
for (let i = 0; i < out.length; i++) {
const previous = out[(i + out.length - 1) % out.length]
if (Math.abs(out[i][0] - previous[6]) > DISTANCE_EPSILON || Math.abs(out[i][1] - previous[7]) > DISTANCE_EPSILON) {
throw new Error('RoundedPolygon must be contiguous')
}
}
return out
}
/** RoundedPolygon(vertices, rounding, perVertexRounding, centerX, centerY). */
function polygonFromVertices(vertices, { cornerRounding = UNROUNDED, perVertexRounding = null, center = null } = {}) {
const n = vertices.length
if (n < 3) {
throw new Error('Polygons must have at least 3 vertices')
}
if (perVertexRounding !== null && perVertexRounding.length !== n) {
throw new Error('perVertexRounding list should be either null or the same size as the number of vertices')
}
const roundedCorners = vertices.map((vertex, i) => new RoundedCorner(vertices[(i + n - 1) % n], vertex, vertices[(i + 1) % n], perVertexRounding?.[i] ?? cornerRounding))
const cutAdjusts = vertices.map((vertex, i) => {
const next = (i + 1) % n
const expectedRoundCut = roundedCorners[i].expectedRoundCut + roundedCorners[next].expectedRoundCut
const expectedCut = roundedCorners[i].expectedCut + roundedCorners[next].expectedCut
const sideSize = length(minus(vertex, vertices[next]))
if (expectedRoundCut > sideSize) {
return [sideSize / expectedRoundCut, 0]
}
if (expectedCut > sideSize) {
return [1, (sideSize - expectedRoundCut) / (expectedCut - expectedRoundCut)]
}
return [1, 1]
})
const corners = roundedCorners.map((corner, i) => {
const allowedCuts = [0, 1].map((delta) => {
const [roundCutRatio, cutRatio] = cutAdjusts[(i + n - 1 + delta) % n]
return corner.expectedRoundCut * roundCutRatio + (corner.expectedCut - corner.expectedRoundCut) * cutRatio
})
return corner.getCubics(allowedCuts[0], allowedCuts[1])
})
const features = []
for (let i = 0; i < n; i++) {
const previous = vertices[(i + n - 1) % n]
const next = vertices[(i + 1) % n]
const end = corners[i].at(-1)
const start = corners[(i + 1) % n][0]
features.push({ type: 'corner', convex: convex(previous, vertices[i], next), cubics: corners[i] })
features.push({ type: 'edge', cubics: [straightLine(end[6], end[7], start[0], start[1])] })
}
if (center === null) {
center = point(vertices.reduce((sum, v) => sum + v.x, 0) / n, vertices.reduce((sum, v) => sum + v.y, 0) / n)
}
return new RoundedPolygon(features, center)
}
// Shapes.kt -----------------------------------------------------------------------------------
/** RoundedPolygon(numVertices, radius, centerX, centerY, rounding, perVertexRounding). */
function regularPolygon(numVertices, { radius = 1, cornerRounding = UNROUNDED, perVertexRounding = null } = {}) {
const vertices = Array.from({ length: numVertices }, (_, i) => radialToCartesian(radius, (Math.PI / numVertices) * 2 * i))
return polygonFromVertices(vertices, { cornerRounding, perVertexRounding, center: point(0, 0) })
}
/** RoundedPolygon.circle(numVertices, radius): a regular polygon rounded all the way round. */
function circlePolygon(numVertices = 8, radius = 1) {
const polygonRadius = radius / Math.cos(Math.PI / numVertices)
return regularPolygon(numVertices, { radius: polygonRadius, cornerRounding: rounding(radius) })
}
/** RoundedPolygon.star(numVerticesPerRadius, radius, innerRadius, rounding, innerRounding). */
function star(numVerticesPerRadius, { radius = 1, innerRadius = 0.5, cornerRounding = UNROUNDED, innerCornerRounding = cornerRounding } = {}) {
const vertices = []
const roundings = []
for (let i = 0; i < numVerticesPerRadius; i++) {
vertices.push(radialToCartesian(radius, (Math.PI / numVerticesPerRadius) * 2 * i), radialToCartesian(innerRadius, (Math.PI / numVerticesPerRadius) * (2 * i + 1)))
roundings.push(cornerRounding, innerCornerRounding)
}
return polygonFromVertices(vertices, { perVertexRounding: roundings, center: point(0, 0) })
}
// Morph: FloatMapping.kt, PolygonMeasure.kt, FeatureMapping.kt, Morph.kt ----------------------
const positiveModulo = (num, mod) => ((num % mod) + mod) % mod
const progressInRange = (progress, from, to) => (to >= from ? progress >= from && progress <= to : progress >= from || progress <= to)
const progressDistance = (a, b) => Math.min(Math.abs(a - b), 1 - Math.abs(a - b))
function linearMap(xValues, yValues, x) {
const n = xValues.length
const start = xValues.findIndex((_, i) => progressInRange(x, xValues[i], xValues[(i + 1) % n]))
const end = (start + 1) % n
const sizeX = positiveModulo(xValues[end] - xValues[start], 1)
const sizeY = positiveModulo(yValues[end] - yValues[start], 1)
const position = sizeX < 0.001 ? 0.5 : positiveModulo(x - xValues[start], 1) / sizeX
return positiveModulo(yValues[start] + sizeY * position, 1)
}
const MEASURE_SEGMENTS = 3
/** LengthMeasurer.closestProgressTo: [the parameter at which `threshold` length is reached, the length]. */
function closestProgressTo(c, threshold) {
let total = 0
let remainder = threshold
let previous = point(c[0], c[1])
for (let i = 1; i <= MEASURE_SEGMENTS; i++) {
const progress = i / MEASURE_SEGMENTS
const p = pointOnCurve(c, progress)
const segment = Math.hypot(p.x - previous.x, p.y - previous.y)
if (segment >= remainder) {
return [progress - (1 - remainder / segment) / MEASURE_SEGMENTS, threshold]
}
remainder -= segment
total += segment
previous = p
}
return [1, total]
}
class MeasuredCubic {
constructor(c, startOutlineProgress, endOutlineProgress) {
if (endOutlineProgress < startOutlineProgress) {
throw new Error('endOutlineProgress is expected to be equal or greater than startOutlineProgress')
}
this.cubic = c
this.startOutlineProgress = startOutlineProgress
this.endOutlineProgress = endOutlineProgress
this.measuredSize = closestProgressTo(c, Infinity)[1]
}
cutAtProgress(cutOutlineProgress) {
const bounded = clamp(cutOutlineProgress, this.startOutlineProgress, this.endOutlineProgress)
const relativeProgress = (bounded - this.startOutlineProgress) / (this.endOutlineProgress - this.startOutlineProgress)
const t = closestProgressTo(this.cubic, relativeProgress * this.measuredSize)[0]
const [c1, c2] = split(this.cubic, t)
return [new MeasuredCubic(c1, this.startOutlineProgress, bounded), new MeasuredCubic(c2, bounded, this.endOutlineProgress)]
}
}
class MeasuredPolygon {
constructor(features, cubics, outlineProgress) {
this.features = features
this.cubics = []
let startOutlineProgress = 0
for (let i = 0; i < cubics.length; i++) {
if (outlineProgress[i + 1] - outlineProgress[i] > DISTANCE_EPSILON) {
this.cubics.push(new MeasuredCubic(cubics[i], startOutlineProgress, outlineProgress[i + 1]))
startOutlineProgress = outlineProgress[i + 1]
}
}
this.cubics.at(-1).endOutlineProgress = 1
}
static measure(polygon) {
const cubics = []
const featureToCubic = []
for (const feature of polygon.features) {
feature.cubics.forEach((c, i) => {
if (feature.type === 'corner' && i === Math.floor(feature.cubics.length / 2)) {
featureToCubic.push([feature, cubics.length])
}
cubics.push(c)
})
}
const measures = [0]
for (const c of cubics) {
measures.push(measures.at(-1) + closestProgressTo(c, Infinity)[1])
}
const outlineProgress = measures.map((measure) => measure / measures.at(-1))
const features = featureToCubic.map(([feature, ix]) => ({
progress: positiveModulo((outlineProgress[ix] + outlineProgress[ix + 1]) / 2, 1),
feature,
}))
return new MeasuredPolygon(features, cubics, outlineProgress)
}
cutAndShift(cuttingPoint) {
if (cuttingPoint < DISTANCE_EPSILON) {
return this
}
const n = this.cubics.length
const targetIndex = this.cubics.findIndex((c) => cuttingPoint >= c.startOutlineProgress && cuttingPoint <= c.endOutlineProgress)
const [b1, b2] = this.cubics[targetIndex].cutAtProgress(cuttingPoint)
const cubics = [b2.cubic]
for (let i = 1; i < n; i++) {
cubics.push(this.cubics[(i + targetIndex) % n].cubic)
}
cubics.push(b1.cubic)
const outlineProgress = Array.from({ length: n + 2 }, (_, index) => {
if (index === 0) {
return 0
}
if (index === n + 1) {
return 1
}
return positiveModulo(this.cubics[(targetIndex + index - 1) % n].endOutlineProgress - cuttingPoint, 1)
})
const features = this.features.map(({ progress, feature }) => ({ progress: positiveModulo(progress - cuttingPoint, 1), feature }))
return new MeasuredPolygon(features, cubics, outlineProgress)
}
}
function featureDistSquared(f1, f2) {
if (f1.type === 'corner' && f2.type === 'corner' && f1.convex !== f2.convex) {
return Infinity
}
const representative = (feature) => {
const [first, last] = [feature.cubics[0], feature.cubics.at(-1)]
return point((first[0] + last[6]) / 2, (first[1] + last[7]) / 2)
}
const [p1, p2] = [representative(f1), representative(f2)]
return (p1.x - p2.x) ** 2 + (p1.y - p2.y) ** 2
}
function doMapping(features1, features2) {
const distanceVertexList = []
for (const f1 of features1) {
for (const f2 of features2) {
const distance = featureDistSquared(f1.feature, f2.feature)
if (distance !== Infinity) {
distanceVertexList.push({ distance, f1, f2 })
}
}
}
distanceVertexList.sort((a, b) => a.distance - b.distance)
if (distanceVertexList.length === 0) {
return [
[0, 0],
[0.5, 0.5],
]
}
if (distanceVertexList.length === 1) {
const { f1, f2 } = distanceVertexList[0]
return [
[f1.progress, f2.progress],
[(f1.progress + 0.5) % 1, (f2.progress + 0.5) % 1],
]
}
const mapping = []
const usedF1 = new Set()
const usedF2 = new Set()
for (const { f1, f2 } of distanceVertexList) {
if (usedF1.has(f1) || usedF2.has(f2)) {
continue
}
const insertionIndex = mapping.findIndex((m) => m[0] >= f1.progress)
const index = insertionIndex === -1 ? mapping.length : insertionIndex
if (index < mapping.length && mapping[index][0] === f1.progress) {
throw new Error("There can't be two features with the same progress")
}
const n = mapping.length
if (n >= 1) {
const [before1, before2] = mapping[(index + n - 1) % n]
const [after1, after2] = mapping[index % n]
if (
progressDistance(f1.progress, before1) < DISTANCE_EPSILON ||
progressDistance(f1.progress, after1) < DISTANCE_EPSILON ||
progressDistance(f2.progress, before2) < DISTANCE_EPSILON ||
progressDistance(f2.progress, after2) < DISTANCE_EPSILON
) {
continue
}
if (n > 1 && !progressInRange(f2.progress, before2, after2)) {
continue
}
}
mapping.splice(index, 0, [f1.progress, f2.progress])
usedF1.add(f1)
usedF2.add(f2)
}
return mapping
}
/** Morph.match: both shapes cut into pairs of matching cubics. */
function match(p1, p2) {
const measuredPolygon1 = MeasuredPolygon.measure(p1)
const measuredPolygon2 = MeasuredPolygon.measure(p2)
const corners = (features) => features.filter(({ feature }) => feature.type === 'corner')
const mappings = doMapping(corners(measuredPolygon1.features), corners(measuredPolygon2.features))
const [sources, targets] = [mappings.map((m) => m[0]), mappings.map((m) => m[1])]
const map = (x) => linearMap(sources, targets, x)
const mapBack = (x) => linearMap(targets, sources, x)
const polygon2CutPoint = map(0)
const bs1 = measuredPolygon1.cubics
const bs2 = measuredPolygon2.cutAndShift(polygon2CutPoint).cubics
const pairs = []
let i1 = 0
let i2 = 0
let b1 = bs1[i1++]
let b2 = bs2[i2++]
while (b1 !== undefined && b2 !== undefined) {
const b1a = i1 === bs1.length ? 1 : b1.endOutlineProgress
const b2a = i2 === bs2.length ? 1 : mapBack(positiveModulo(b2.endOutlineProgress + polygon2CutPoint, 1))
const minb = Math.min(b1a, b2a)
let seg1
let seg2
if (b1a > minb + ANGLE_EPSILON) {
;[seg1, b1] = b1.cutAtProgress(minb)
} else {
seg1 = b1
b1 = bs1[i1++]
}
if (b2a > minb + ANGLE_EPSILON) {
;[seg2, b2] = b2.cutAtProgress(positiveModulo(map(minb) - polygon2CutPoint, 1))
} else {
seg2 = b2
b2 = bs2[i2++]
}
pairs.push([seg1.cubic, seg2.cubic])
}
if (b1 !== undefined || b2 !== undefined) {
throw new Error("Expected both Polygon's Cubic to be fully matched")
}
return pairs
}
/** Morph.asCubics: every matched pair interpolated at `progress`, closed on its first anchor. */
function asCubics(pairs, progress) {
const cubics = pairs.map(([start, end]) => start.map((value, i) => value + (end[i] - value) * progress))
cubics.at(-1)[6] = cubics[0][0]
cubics.at(-1)[7] = cubics[0][1]
return cubics
}
export {
point,
plus,
minus,
times,
length,
pointOnCurve,
split,
turningPoints,
cubicBounds,
rounding,
UNROUNDED,
polygonFromVertices,
regularPolygon,
circlePolygon,
star,
match,
asCubics,
}