Created
August 13, 2023 11:32
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TypeScript implementation of circumcircle finder
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import { Vector2 } from 'three'; | |
export function findCircumCircle(vertices: Vector2[]) { | |
if (vertices.length === 1) { | |
return [vertices[0], 0]; | |
} | |
if (vertices.length === 2) { | |
return [ | |
vertices[0].clone().add(vertices[1]).multiplyScalar(0.5), | |
vertices[0].distanceTo(vertices[1]) * 0.5, | |
]; | |
} | |
if (vertices.length !== 3) { | |
console.warn( | |
`Unexpected number of vertices ${vertices.length}, expect 3`, | |
); | |
} | |
// handle degeneracy | |
if (isStrictlyEqual(vertices[0], vertices[1])) { | |
return findCircumCircle([vertices[0], vertices[2]]); | |
} | |
if (isStrictlyEqual(vertices[0], vertices[2])) { | |
return findCircumCircle([vertices[0], vertices[1]]); | |
} | |
if (isStrictlyEqual(vertices[1], vertices[2])) { | |
return findCircumCircle([vertices[0], vertices[1]]); | |
} | |
const x0 = vertices[0].x; | |
const x1 = vertices[1].x; | |
const x2 = vertices[2].x; | |
const y0 = vertices[0].y; | |
const y1 = vertices[1].y; | |
const y2 = vertices[2].y; | |
const s0 = x0 ** 2 + y0 ** 2; | |
const s1 = x1 ** 2 + y1 ** 2; | |
const s2 = x2 ** 2 + y2 ** 2; | |
// https://en.wikipedia.org/wiki/Circumcircle#Circumcenter_coordinates | |
const d = 2 * (x0 * (y1 - y2) + x1 * (y2 - y0) + x2 * (y0 - y1)); | |
const xc = (s0 * (y1 - y2) + s1 * (y2 - y0) + s2 * (y0 - y1)) / d; | |
const yc = (s0 * (x2 - x1) + s1 * (x0 - x2) + s2 * (x1 - x0)) / d; | |
const r = ((xc - x0) ** 2 + (yc - y0) ** 2) ** 0.5; | |
return [new Vector2(xc, yc), r]; | |
} | |
export function isStrictlyEqual(v1: Vector2, v2: Vector2) { | |
return v1.x === v2.x && v1.y === v2.y; | |
} |
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