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chore: Unify math types, utils and functions (#8389)
Co-authored-by: dwelle <5153846+dwelle@users.noreply.github.com>
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98 changed files with 4291 additions and 3661 deletions
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@ -1,9 +1,16 @@
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import {
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vectorCross,
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vectorFromPoint,
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type GlobalPoint,
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type LocalPoint,
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} from "../math";
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import type { Bounds } from "../excalidraw/element/bounds";
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import type { Point } from "../excalidraw/types";
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export type LineSegment = [Point, Point];
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export type LineSegment<P extends LocalPoint | GlobalPoint> = [P, P];
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export function getBBox(line: LineSegment): Bounds {
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export function getBBox<P extends LocalPoint | GlobalPoint>(
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line: LineSegment<P>,
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): Bounds {
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return [
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Math.min(line[0][0], line[1][0]),
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Math.min(line[0][1], line[1][1]),
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@ -12,40 +19,37 @@ export function getBBox(line: LineSegment): Bounds {
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];
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}
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export function crossProduct(a: Point, b: Point) {
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return a[0] * b[1] - b[0] * a[1];
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}
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export function doBBoxesIntersect(a: Bounds, b: Bounds) {
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return a[0] <= b[2] && a[2] >= b[0] && a[1] <= b[3] && a[3] >= b[1];
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}
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export function translate(a: Point, b: Point): Point {
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return [a[0] - b[0], a[1] - b[1]];
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}
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const EPSILON = 0.000001;
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export function isPointOnLine(l: LineSegment, p: Point) {
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const p1 = translate(l[1], l[0]);
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const p2 = translate(p, l[0]);
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export function isPointOnLine<P extends GlobalPoint | LocalPoint>(
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l: LineSegment<P>,
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p: P,
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) {
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const p1 = vectorFromPoint(l[1], l[0]);
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const p2 = vectorFromPoint(p, l[0]);
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const r = crossProduct(p1, p2);
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const r = vectorCross(p1, p2);
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return Math.abs(r) < EPSILON;
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}
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export function isPointRightOfLine(l: LineSegment, p: Point) {
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const p1 = translate(l[1], l[0]);
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const p2 = translate(p, l[0]);
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export function isPointRightOfLine<P extends GlobalPoint | LocalPoint>(
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l: LineSegment<P>,
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p: P,
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) {
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const p1 = vectorFromPoint(l[1], l[0]);
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const p2 = vectorFromPoint(p, l[0]);
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return crossProduct(p1, p2) < 0;
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return vectorCross(p1, p2) < 0;
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}
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export function isLineSegmentTouchingOrCrossingLine(
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a: LineSegment,
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b: LineSegment,
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) {
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export function isLineSegmentTouchingOrCrossingLine<
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P extends GlobalPoint | LocalPoint,
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>(a: LineSegment<P>, b: LineSegment<P>) {
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return (
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isPointOnLine(a, b[0]) ||
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isPointOnLine(a, b[1]) ||
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@ -56,7 +60,10 @@ export function isLineSegmentTouchingOrCrossingLine(
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}
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// https://martin-thoma.com/how-to-check-if-two-line-segments-intersect/
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export function doLineSegmentsIntersect(a: LineSegment, b: LineSegment) {
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export function doLineSegmentsIntersect<P extends GlobalPoint | LocalPoint>(
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a: LineSegment<P>,
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b: LineSegment<P>,
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) {
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return (
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doBBoxesIntersect(getBBox(a), getBBox(b)) &&
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isLineSegmentTouchingOrCrossingLine(a, b) &&
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