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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 | 5x 13x 2x 11x 11x 11x 11x 5x 6x 6x 5x 4x 4x 4x | /** A world-space XZ point clamped into the bounds circle, and how far it had to move to get there. */
export type ClampResult = { x: number; z: number; distance: number };
/**
* Clamp a world-space XZ point into the circle of `radius` about (centerX, centerZ).
*
* `distance` is how far the point was moved and is 0 whenever the point was already inside, which
* callers use as the "was this clamped?" signal. A non-positive radius means "no bounds" and leaves
* the point untouched; so does a point at the exact center, which has no direction to project along.
*/
export const clampToCircle = (x: number, z: number, centerX: number, centerZ: number, radius: number): ClampResult => {
if (radius <= 0) {
return { x, z, distance: 0 };
}
const dx = x - centerX;
const dz = z - centerZ;
const dist = Math.sqrt(dx * dx + dz * dz);
if (dist <= radius) {
return { x, z, distance: 0 };
}
const scale = radius / dist;
return { x: centerX + dx * scale, z: centerZ + dz * scale, distance: dist - radius };
};
/** Horizontal distance from a world-space XZ point to the circle's edge: negative inside, positive outside. */
export const distanceToCircleEdge = (
x: number,
z: number,
centerX: number,
centerZ: number,
radius: number
): number => {
const dx = x - centerX;
const dz = z - centerZ;
return Math.sqrt(dx * dx + dz * dz) - radius;
};
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