This commit is contained in:
Mark Tolmacs 2025-05-14 17:10:26 +02:00
parent d681869c4c
commit 14817c1b2d
No known key found for this signature in database
2 changed files with 185 additions and 152 deletions

View File

@ -5,17 +5,14 @@ import { getDiamondPoints } from "@excalidraw/element";
import { getCornerRadius } from "@excalidraw/element";
import {
bezierEquation,
curve,
curveTangent,
curveCatmullRomCubicApproxPoints,
curveCatmullRomQuadraticApproxPoints,
curveOffsetPoints,
type GlobalPoint,
offsetPointsForQuadraticBezier,
pointFrom,
pointFromVector,
pointRotateRads,
vector,
vectorNormal,
vectorNormalize,
vectorScale,
} from "@excalidraw/math";
import type {
@ -99,25 +96,14 @@ export const bootstrapCanvas = ({
function drawCatmullRomQuadraticApprox(
ctx: CanvasRenderingContext2D,
points: GlobalPoint[],
segments = 20,
tension = 0.5,
) {
ctx.lineTo(points[0][0], points[0][1]);
const pointSets = curveCatmullRomQuadraticApproxPoints(points, tension);
if (pointSets) {
for (let i = 0; i < pointSets.length - 1; i++) {
const [[cpX, cpY], [p2X, p2Y]] = pointSets[i];
for (let i = 0; i < points.length - 1; i++) {
const p0 = points[i - 1 < 0 ? 0 : i - 1];
const p1 = points[i];
const p2 = points[i + 1 >= points.length ? points.length - 1 : i + 1];
for (let t = 0; t <= 1; t += 1 / segments) {
const t2 = t * t;
const x =
(1 - t) * (1 - t) * p0[0] + 2 * (1 - t) * t * p1[0] + t2 * p2[0];
const y =
(1 - t) * (1 - t) * p0[1] + 2 * (1 - t) * t * p1[1] + t2 * p2[1];
ctx.lineTo(x, y);
ctx.quadraticCurveTo(cpX, cpY, p2X, p2Y);
}
}
}
@ -125,35 +111,13 @@ function drawCatmullRomQuadraticApprox(
function drawCatmullRomCubicApprox(
ctx: CanvasRenderingContext2D,
points: GlobalPoint[],
segments = 20,
tension = 0.5,
) {
ctx.lineTo(points[0][0], points[0][1]);
for (let i = 0; i < points.length - 1; i++) {
const p0 = points[i - 1 < 0 ? 0 : i - 1];
const p1 = points[i];
const p2 = points[i + 1 >= points.length ? points.length - 1 : i + 1];
const p3 = points[i + 2 >= points.length ? points.length - 1 : i + 2];
for (let t = 0; t <= 1; t += 1 / segments) {
const t2 = t * t;
const t3 = t2 * t;
const x =
0.5 *
(2 * p1[0] +
(-p0[0] + p2[0]) * t +
(2 * p0[0] - 5 * p1[0] + 4 * p2[0] - p3[0]) * t2 +
(-p0[0] + 3 * p1[0] - 3 * p2[0] + p3[0]) * t3);
const y =
0.5 *
(2 * p1[1] +
(-p0[1] + p2[1]) * t +
(2 * p0[1] - 5 * p1[1] + 4 * p2[1] - p3[1]) * t2 +
(-p0[1] + 3 * p1[1] - 3 * p2[1] + p3[1]) * t3);
ctx.lineTo(x, y);
const pointSets = curveCatmullRomCubicApproxPoints(points, tension);
if (pointSets) {
for (let i = 0; i < pointSets.length; i++) {
const [[cp1x, cp1y], [cp2x, cp2y], [x, y]] = pointSets[i];
ctx.bezierCurveTo(cp1x, cp1y, cp2x, cp2y, x, y);
}
}
}
@ -184,25 +148,25 @@ export const drawHighlightForRectWithRotation = (
context.beginPath();
{
const topLeftApprox = offsetQuadraticBezier(
const topLeftApprox = offsetPointsForQuadraticBezier(
pointFrom(0, 0 + radius),
pointFrom(0, 0),
pointFrom(0 + radius, 0),
padding,
);
const topRightApprox = offsetQuadraticBezier(
const topRightApprox = offsetPointsForQuadraticBezier(
pointFrom(element.width - radius, 0),
pointFrom(element.width, 0),
pointFrom(element.width, radius),
padding,
);
const bottomRightApprox = offsetQuadraticBezier(
const bottomRightApprox = offsetPointsForQuadraticBezier(
pointFrom(element.width, element.height - radius),
pointFrom(element.width, element.height),
pointFrom(element.width - radius, element.height),
padding,
);
const bottomLeftApprox = offsetQuadraticBezier(
const bottomLeftApprox = offsetPointsForQuadraticBezier(
pointFrom(radius, element.height),
pointFrom(0, element.height),
pointFrom(0, element.height - radius),
@ -227,25 +191,25 @@ export const drawHighlightForRectWithRotation = (
// mask" on a filled shape for the diamond highlight, because stroking creates
// sharp inset edges on line joins < 90 degrees.
{
const topLeftApprox = offsetQuadraticBezier(
const topLeftApprox = offsetPointsForQuadraticBezier(
pointFrom(0 + radius, 0),
pointFrom(0, 0),
pointFrom(0, 0 + radius),
-FIXED_BINDING_DISTANCE,
);
const topRightApprox = offsetQuadraticBezier(
const topRightApprox = offsetPointsForQuadraticBezier(
pointFrom(element.width, radius),
pointFrom(element.width, 0),
pointFrom(element.width - radius, 0),
-FIXED_BINDING_DISTANCE,
);
const bottomRightApprox = offsetQuadraticBezier(
const bottomRightApprox = offsetPointsForQuadraticBezier(
pointFrom(element.width - radius, element.height),
pointFrom(element.width, element.height),
pointFrom(element.width, element.height - radius),
-FIXED_BINDING_DISTANCE,
);
const bottomLeftApprox = offsetQuadraticBezier(
const bottomLeftApprox = offsetPointsForQuadraticBezier(
pointFrom(0, element.height - radius),
pointFrom(0, element.height),
pointFrom(radius, element.height),
@ -340,32 +304,40 @@ export const drawHighlightForDiamondWithRotation = (
const horizontalRadius = element.roundness
? getCornerRadius(Math.abs(rightY - topY), element)
: (rightY - topY) * 0.01;
const topApprox = offsetCubicBezier(
const topApprox = curveOffsetPoints(
curve(
pointFrom(topX - verticalRadius, topY + horizontalRadius),
pointFrom(topX, topY),
pointFrom(topX, topY),
pointFrom(topX + verticalRadius, topY + horizontalRadius),
),
padding,
);
const rightApprox = offsetCubicBezier(
const rightApprox = curveOffsetPoints(
curve(
pointFrom(rightX - verticalRadius, rightY - horizontalRadius),
pointFrom(rightX, rightY),
pointFrom(rightX, rightY),
pointFrom(rightX - verticalRadius, rightY + horizontalRadius),
),
padding,
);
const bottomApprox = offsetCubicBezier(
const bottomApprox = curveOffsetPoints(
curve(
pointFrom(bottomX + verticalRadius, bottomY - horizontalRadius),
pointFrom(bottomX, bottomY),
pointFrom(bottomX, bottomY),
pointFrom(bottomX - verticalRadius, bottomY - horizontalRadius),
),
padding,
);
const leftApprox = offsetCubicBezier(
const leftApprox = curveOffsetPoints(
curve(
pointFrom(leftX + verticalRadius, leftY + horizontalRadius),
pointFrom(leftX, leftY),
pointFrom(leftX, leftY),
pointFrom(leftX + verticalRadius, leftY - horizontalRadius),
),
padding,
);
@ -395,32 +367,40 @@ export const drawHighlightForDiamondWithRotation = (
const horizontalRadius = element.roundness
? getCornerRadius(Math.abs(rightY - topY), element)
: (rightY - topY) * 0.01;
const topApprox = offsetCubicBezier(
const topApprox = curveOffsetPoints(
curve(
pointFrom(topX + verticalRadius, topY + horizontalRadius),
pointFrom(topX, topY),
pointFrom(topX, topY),
pointFrom(topX - verticalRadius, topY + horizontalRadius),
),
-FIXED_BINDING_DISTANCE,
);
const rightApprox = offsetCubicBezier(
const rightApprox = curveOffsetPoints(
curve(
pointFrom(rightX - verticalRadius, rightY + horizontalRadius),
pointFrom(rightX, rightY),
pointFrom(rightX, rightY),
pointFrom(rightX - verticalRadius, rightY - horizontalRadius),
),
-FIXED_BINDING_DISTANCE,
);
const bottomApprox = offsetCubicBezier(
const bottomApprox = curveOffsetPoints(
curve(
pointFrom(bottomX - verticalRadius, bottomY - horizontalRadius),
pointFrom(bottomX, bottomY),
pointFrom(bottomX, bottomY),
pointFrom(bottomX + verticalRadius, bottomY - horizontalRadius),
),
-FIXED_BINDING_DISTANCE,
);
const leftApprox = offsetCubicBezier(
const leftApprox = curveOffsetPoints(
curve(
pointFrom(leftX + verticalRadius, leftY - horizontalRadius),
pointFrom(leftX, leftY),
pointFrom(leftX, leftY),
pointFrom(leftX + verticalRadius, leftY + horizontalRadius),
),
-FIXED_BINDING_DISTANCE,
);
@ -441,53 +421,3 @@ export const drawHighlightForDiamondWithRotation = (
context.fill();
context.restore();
};
function offsetCubicBezier(
p0: GlobalPoint,
p1: GlobalPoint,
p2: GlobalPoint,
p3: GlobalPoint,
offsetDist: number,
steps = 20,
) {
const offsetPoints = [];
for (let i = 0; i <= steps; i++) {
const t = i / steps;
const c = curve(p0, p1, p2, p3);
const point = bezierEquation(c, t);
const tangent = vectorNormalize(curveTangent(c, t));
const normal = vectorNormal(tangent);
offsetPoints.push(pointFromVector(vectorScale(normal, offsetDist), point));
}
return offsetPoints;
}
function offsetQuadraticBezier(
p0: GlobalPoint,
p1: GlobalPoint,
p2: GlobalPoint,
offsetDist: number,
steps = 20,
) {
const offsetPoints = [];
for (let i = 0; i <= steps; i++) {
const t = i / steps;
const t1 = 1 - t;
const point = pointFrom<GlobalPoint>(
t1 * t1 * p0[0] + 2 * t1 * t * p1[0] + t * t * p2[0],
t1 * t1 * p0[1] + 2 * t1 * t * p1[1] + t * t * p2[1],
);
const tangentX = 2 * (1 - t) * (p1[0] - p0[0]) + 2 * t * (p2[0] - p1[0]);
const tangentY = 2 * (1 - t) * (p1[1] - p0[1]) + 2 * t * (p2[1] - p1[1]);
const tangent = vectorNormalize(vector(tangentX, tangentY));
const normal = vectorNormal(tangent);
offsetPoints.push(pointFromVector(vectorScale(normal, offsetDist), point));
}
return offsetPoints;
}

View File

@ -1,8 +1,8 @@
import type { Bounds } from "@excalidraw/element";
import { isPoint, pointDistance, pointFrom } from "./point";
import { isPoint, pointDistance, pointFrom, pointFromVector } from "./point";
import { rectangle, rectangleIntersectLineSegment } from "./rectangle";
import { vector } from "./vector";
import { vector, vectorNormal, vectorNormalize, vectorScale } from "./vector";
import type { Curve, GlobalPoint, LineSegment, LocalPoint } from "./types";
@ -303,3 +303,106 @@ function curveBounds<Point extends GlobalPoint | LocalPoint>(
const y = [P0[1], P1[1], P2[1], P3[1]];
return [Math.min(...x), Math.min(...y), Math.max(...x), Math.max(...y)];
}
export function curveCatmullRomQuadraticApproxPoints(
points: GlobalPoint[],
tension = 0.5,
) {
if (points.length < 2) {
return;
}
const pointSets: [GlobalPoint, GlobalPoint][] = [];
for (let i = 0; i < points.length - 1; i++) {
const p0 = points[i - 1 < 0 ? 0 : i - 1];
const p1 = points[i];
const p2 = points[i + 1 >= points.length ? points.length - 1 : i + 1];
const cpX = p1[0] + ((p2[0] - p0[0]) * tension) / 2;
const cpY = p1[1] + ((p2[1] - p0[1]) * tension) / 2;
pointSets.push([
pointFrom<GlobalPoint>(cpX, cpY),
pointFrom<GlobalPoint>(p2[0], p2[1]),
]);
}
return pointSets;
}
export function curveCatmullRomCubicApproxPoints(
points: GlobalPoint[],
tension = 0.5,
) {
if (points.length < 2) {
return;
}
const pointSets: [GlobalPoint, GlobalPoint, GlobalPoint][] = [];
for (let i = 0; i < points.length - 1; i++) {
const p0 = points[i - 1 < 0 ? 0 : i - 1];
const p1 = points[i];
const p2 = points[i + 1 >= points.length ? points.length - 1 : i + 1];
const p3 = points[i + 2 >= points.length ? points.length - 1 : i + 2];
const tangent1 = [(p2[0] - p0[0]) * tension, (p2[1] - p0[1]) * tension];
const tangent2 = [(p3[0] - p1[0]) * tension, (p3[1] - p1[1]) * tension];
const cp1x = p1[0] + tangent1[0] / 3;
const cp1y = p1[1] + tangent1[1] / 3;
const cp2x = p2[0] - tangent2[0] / 3;
const cp2y = p2[1] - tangent2[1] / 3;
pointSets.push([
pointFrom<GlobalPoint>(cp1x, cp1y),
pointFrom<GlobalPoint>(cp2x, cp2y),
pointFrom<GlobalPoint>(p2[0], p2[1]),
]);
}
return pointSets;
}
export function curveOffsetPoints(
[p0, p1, p2, p3]: Curve<GlobalPoint>,
offsetDist: number,
steps = 50,
) {
const offsetPoints = [];
for (let i = 0; i <= steps; i++) {
const t = i / steps;
const c = curve(p0, p1, p2, p3);
const point = bezierEquation(c, t);
const tangent = vectorNormalize(curveTangent(c, t));
const normal = vectorNormal(tangent);
offsetPoints.push(pointFromVector(vectorScale(normal, offsetDist), point));
}
return offsetPoints;
}
export function offsetPointsForQuadraticBezier(
p0: GlobalPoint,
p1: GlobalPoint,
p2: GlobalPoint,
offsetDist: number,
steps = 50,
) {
const offsetPoints = [];
for (let i = 0; i <= steps; i++) {
const t = i / steps;
const t1 = 1 - t;
const point = pointFrom<GlobalPoint>(
t1 * t1 * p0[0] + 2 * t1 * t * p1[0] + t * t * p2[0],
t1 * t1 * p0[1] + 2 * t1 * t * p1[1] + t * t * p2[1],
);
const tangentX = 2 * (1 - t) * (p1[0] - p0[0]) + 2 * t * (p2[0] - p1[0]);
const tangentY = 2 * (1 - t) * (p1[1] - p0[1]) + 2 * t * (p2[1] - p1[1]);
const tangent = vectorNormalize(vector(tangentX, tangentY));
const normal = vectorNormal(tangent);
offsetPoints.push(pointFromVector(vectorScale(normal, offsetDist), point));
}
return offsetPoints;
}