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Arc tests

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Mark Tolmacs 2024-09-25 14:22:32 +02:00
parent f79fb899fc
commit 3fe73e79a6
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9 changed files with 80 additions and 76 deletions
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57
packages/math/ellipse.ts
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@ -82,63 +82,10 @@ export const ellipseTouchesPoint = <Point extends GenericPoint>(
ellipse: Ellipse<Point>,
threshold = PRECISION,
) => {
return distanceToEllipse(point, ellipse) <= threshold;
return ellipseDistance(point, ellipse) <= threshold;
};
export const ellipseFocusToCenter = <Point extends GenericPoint>(
ellipse: Ellipse<Point>,
) => {
const widthGreaterThanHeight = ellipse.halfWidth > ellipse.halfHeight;
const majorAxis = widthGreaterThanHeight
? ellipse.halfWidth * 2
: ellipse.halfHeight * 2;
const minorAxis = widthGreaterThanHeight
? ellipse.halfHeight * 2
: ellipse.halfWidth * 2;
return Math.sqrt(majorAxis ** 2 - minorAxis ** 2);
};
export const ellipseExtremes = <Point extends GenericPoint>(
ellipse: Ellipse<Point>,
) => {
const { center, angle } = ellipse;
const widthGreaterThanHeight = ellipse.halfWidth > ellipse.halfHeight;
const majorAxis = widthGreaterThanHeight
? ellipse.halfWidth * 2
: ellipse.halfHeight * 2;
const minorAxis = widthGreaterThanHeight
? ellipse.halfHeight * 2
: ellipse.halfWidth * 2;
const cos = Math.cos(angle);
const sin = Math.sin(angle);
const sqSum = majorAxis ** 2 + minorAxis ** 2;
const sqDiff = (majorAxis ** 2 - minorAxis ** 2) * Math.cos(2 * angle);
const yMax = Math.sqrt((sqSum - sqDiff) / 2);
const xAtYMax =
(yMax * sqSum * sin * cos) /
(majorAxis ** 2 * sin ** 2 + minorAxis ** 2 * cos ** 2);
const xMax = Math.sqrt((sqSum + sqDiff) / 2);
const yAtXMax =
(xMax * sqSum * sin * cos) /
(majorAxis ** 2 * cos ** 2 + minorAxis ** 2 * sin ** 2);
const centerVector = vectorFromPoint(center);
return [
vectorAdd(vector(xAtYMax, yMax), centerVector),
vectorAdd(vectorScale(vector(xAtYMax, yMax), -1), centerVector),
vectorAdd(vector(xMax, yAtXMax), centerVector),
vectorAdd(vector(xMax, yAtXMax), centerVector),
];
};
const distanceToEllipse = <Point extends GenericPoint>(
export const ellipseDistance = <Point extends GenericPoint>(
p: Point,
ellipse: Ellipse<Point>,
) => {