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Replace intersection code

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This commit is contained in:
Mark Tolmacs 2024-10-01 16:24:31 +02:00
parent 411deae176
commit 0c02972695
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18 changed files with 507 additions and 687 deletions
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33
packages/math/arc.ts
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@ -2,10 +2,11 @@ import { cartesian2Polar, normalizeRadians, radians } from "./angle";
import {
ellipse,
ellipseDistanceFromPoint,
ellipseLineIntersectionPoints,
ellipseSegmentInterceptPoints,
} from "./ellipse";
import { point, pointDistance } from "./point";
import type { GenericPoint, Segment, Radians, Arc } from "./types";
import type { GenericPoint, Segment, Radians, Arc, Line } from "./types";
import { PRECISION } from "./utils";
/**
@ -85,7 +86,7 @@ export function arcDistanceFromPoint<Point extends GenericPoint>(
/**
* Returns the intersection point(s) of a line segment represented by a start
* point and end point and a symmetric arc.
* point and end point and a symmetric arc
*/
export function arcSegmentInterceptPoints<Point extends GenericPoint>(
a: Readonly<Arc<Point>>,
@ -106,3 +107,31 @@ export function arcSegmentInterceptPoints<Point extends GenericPoint>(
: a.startAngle <= candidateAngle || a.endAngle >= candidateAngle;
});
}
/**
* Returns the intersection point(s) of a line segment represented by a start
* point and end point and a symmetric arc
*
* @param a
* @param l
* @returns
*/
export function arcLineInterceptPoints<Point extends GenericPoint>(
a: Readonly<Arc<Point>>,
l: Readonly<Line<Point>>,
): Point[] {
return ellipseLineIntersectionPoints(
ellipse(a.center, a.radius, a.radius),
l,
).filter((candidate) => {
const [candidateRadius, candidateAngle] = cartesian2Polar(
point(candidate[0] - a.center[0], candidate[1] - a.center[1]),
);
return a.startAngle < a.endAngle
? Math.abs(a.radius - candidateRadius) < PRECISION &&
a.startAngle <= candidateAngle &&
a.endAngle >= candidateAngle
: a.startAngle <= candidateAngle || a.endAngle >= candidateAngle;
});
}