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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,83 @@ | ||
| import { V2 } from "./vector"; | ||
|
|
||
| export type M3 = [ | ||
| [number, number, number], | ||
| [number, number, number], | ||
| [number, number, number], | ||
| ]; | ||
|
|
||
| export function multiplyM3V2(mat: M3, v2: V2): V2 { | ||
| const [[a, b, u], [c, d, v], [e, f, w]] = mat; | ||
| const [x, y, z] = [...v2, 1]; | ||
| const res = [ | ||
| a * x + b * y + u * z, | ||
| c * x + d * y + v * z, | ||
| e * x + f * y + w * z, | ||
| ]; | ||
| return [res[0], res[1]]; | ||
| } | ||
|
|
||
| export function multiplyM3M3(mat1: M3, mat2: M3, ...mats: M3[]): M3 { | ||
| let res: M3 = mat1; | ||
| for (const m of [mat2, ...mats]) { | ||
| const [[a1, b1, u1], [c1, d1, v1], [e1, f1, w1]] = res; | ||
| const [[a2, b2, u2], [c2, d2, v2], [e2, f2, w2]] = m; | ||
| res = [ | ||
| [ | ||
| a1 * a2 + b1 * c2 + u1 * e2, | ||
| a1 * b2 + b1 * d2 + u1 * f2, | ||
| a1 * u2 + b1 * v2 + u1 * w2, | ||
| ], | ||
| [ | ||
| c1 * a2 + d1 * c2 + v1 * e2, | ||
| c1 * b2 + d1 * d2 + v1 * f2, | ||
| c1 * u2 + d1 * v2 + v1 * w2, | ||
| ], | ||
| [ | ||
| e1 * a2 + f1 * c2 + w1 * e2, | ||
| e1 * b2 + f1 * d2 + w1 * f2, | ||
| e1 * u2 + f1 * v2 + w1 * w2, | ||
| ], | ||
| ]; | ||
| } | ||
| return res; | ||
| } | ||
|
|
||
| /** | ||
| * Construct a matrix which apply transforms in reverse order | ||
| * @param mat1 | ||
| * @param mat2 | ||
| * @param mats | ||
| * @returns | ||
| */ | ||
| export function composeTransformation(mat1: M3, mat2: M3, ...mats: M3[]): M3 { | ||
| let _mat1 = mat2; | ||
| let _mat2 = mat1; | ||
| let remaining: M3[] = []; | ||
| if (mats.length >= 2) { | ||
| _mat1 = mats[mats.length - 1]; | ||
| _mat2 = mats[mats.length - 2]; | ||
| remaining = [...mats.slice(0, mats.length - 2), mat2, mat1]; | ||
| } else if (mats.length === 1) { | ||
| _mat1 = mats[mats.length - 1]; | ||
| _mat2 = mat2; | ||
| remaining = [mat1]; | ||
| } | ||
| return multiplyM3M3(_mat1, _mat2, ...remaining); | ||
| } | ||
|
|
||
| export function translate(x: number, y: number): M3 { | ||
| return [ | ||
| [1, 0, x], | ||
| [0, 1, y], | ||
| [0, 0, 1], | ||
| ]; | ||
| } | ||
|
|
||
| export function scale(x: number, y: number = x): M3 { | ||
| return [ | ||
| [x, 0, 0], | ||
| [0, y, 0], | ||
| [0, 0, 1], | ||
| ]; | ||
| } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,23 @@ | ||
| import { M3, multiplyM3V2 } from "./matrix"; | ||
| import { V2 } from "./vector"; | ||
|
|
||
| type Point = V2; | ||
| export type Quad = [Point, Point, Point, Point]; | ||
|
|
||
| export function center(quad: Quad): Point { | ||
| const minX = Math.min(...quad.map((c) => c[0])); | ||
| const maxX = Math.max(...quad.map((c) => c[0])); | ||
| const minY = Math.min(...quad.map((c) => c[1])); | ||
| const maxY = Math.max(...quad.map((c) => c[1])); | ||
| return [(minX + maxX) / 2, (minY + maxY) / 2]; | ||
| } | ||
|
|
||
| export function transformWithMatrix(quad: Quad, mat: M3): Quad { | ||
| const [p1, p2, p3, p4] = quad; | ||
| return [ | ||
| multiplyM3V2(mat, p1), | ||
| multiplyM3V2(mat, p2), | ||
| multiplyM3V2(mat, p3), | ||
| multiplyM3V2(mat, p4), | ||
| ]; | ||
| } |
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