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import { setPixel, getPixel } from "./bitmap.mjs";
/**
*
* @param {number} x
* @param {number} y
*/
export function scale(x, y) {
if (y === undefined) {
y = x;
}
return new Matrix(3, 3, new Float32Array([
x, 0, 0,
0, y, 0,
0, 0, 1,
]));
}
/**
*
* @param {number} degrees
*/
export function rotate(degrees) {
const radians = degrees * Math.PI / 180;
return new Matrix(3, 3, new Float32Array([
Math.cos(radians), -Math.sin(radians), 0,
Math.sin(radians), Math.cos(radians), 0,
0, 0, 1,
]));
}
/**
*
* @param {number} x
* @param {number} y
*/
export function translate(x, y) {
return new Matrix(3, 3, new Float32Array([
1, 0, x,
0, 1, y,
0, 0, 1,
]));
}
/**
*
* @param {string} commands
*/
export function parseTransformCommands(commands) {
const matches = commands.matchAll(/(\w+)\(([^\)]*)\)/g);
const commandList = [];
for (let match of matches) {
const inputMatches = match[2].matchAll(/(\-?\d+\.?\d*)(\s*,|\s*$)/g);
const inputs = [];
for (let inputMatch of inputMatches) {
inputs.push(parseFloat(inputMatch[1]));
}
commandList.push({
name: match[1],
inputs: /** @type {[number, number]} */ (inputs),
});
}
return commandList;
}
const commandMap = {
'scale': scale,
/**
* @param {number} x
*/
'scaleX': (x) => scale(x, 1),
/**
* @param {number} y
*/
'scaleY': (y) => scale(1, y),
'rotate': rotate,
'translate': translate,
/**
* @param {number} x
*/
'translateX': (x) => translate(x, 0),
/**
* @param {number} y
*/
'translateY': (y) => translate(0, y),
}
/**
* @typedef {keyof typeof commandMap} CommandName
*/
/**
* @param {string} name
* @returns {name is CommandName}
*/
function isValidCommand(name) {
return name in commandMap;
}
/**
*
* @param {string} commands
* @return {Matrix}
*/
export function computeTransformMatrix(commands) {
let transformMatrix = scale(1, 1);
for (const {inputs, name} of parseTransformCommands(commands)) {
Iif (!isValidCommand(name)) {
throw Error(`Unsupported command provided to transform: ${name}`);
}
/**
* @type {Matrix}
*/
const rightMatrix = commandMap[name](...(inputs));
transformMatrix = transformMatrix.multiply(rightMatrix);
}
return transformMatrix;
}
/**
*
* @param {Matrix[]} extrema
* @returns {{
* top: number;
* right: number;
* bottom: number;
* left: number;
* }}
*/
export function computeBoundingBox(extrema) {
const left = Math.min(...extrema.map(m => m.get(0, 0)))|0;
const top = Math.min(...extrema.map(m => m.get(0, 1)))|0;
const right = Math.ceil(Math.max(...extrema.map(m => m.get(0, 0))));
const bottom = Math.ceil(Math.max(...extrema.map(m => m.get(0, 1))));
return {
top,
right,
bottom,
left,
}
}
/**
* @param {ImageData} imageData
* @param {string} commands
* @param {[number, number]=} origin
*/
export function transform(imageData, commands, origin) {
Eif (!origin) {
origin = [(imageData.width/2)|0, (imageData.height/2)|0];
}
const transformMatrix = computeTransformMatrix(commands);
const [originX, originY] = origin;
const extrema = [
new Matrix(3, 1, new Float32Array([
0 - originX,
0 - originY,
1,
])),
new Matrix(3, 1, new Float32Array([
imageData.width - 1 - originX,
0 - originY,
1,
])),
new Matrix(3, 1, new Float32Array([
0 - originX,
imageData.height - 1 - originY,
1,
])),
new Matrix(3, 1, new Float32Array([
imageData.width - 1 - originX,
imageData.height - 1 - originY,
1,
])),
].map(m => transformMatrix.multiply(m)).map(m => {
m.set(0, 0, m.get(0, 0) + originX);
m.set(0, 1, m.get(0, 1) + originY);
return m;
});
const {top, right, bottom, left} = computeBoundingBox(extrema);
// The ImageData constructor doesn't permit images with a dimension of 0
const newImageData = new ImageData((right - left + 1) || 1, (bottom - top + 1) || 1);
if (Math.abs(transformMatrix.det()) < Number.EPSILON) {
// The transform matrix is singular. This can only occur if it's scaled to 0.
return {
newImageData,
left,
top,
}
}
const inverseTransformMatrix = transformMatrix.inverse();
const positionVector = new Matrix(3, 1, new Float32Array([
0,
0,
1,
]));
const originalPosition = new Matrix(3, 1, new Float32Array([
0,
0,
1,
]));
for (let row = top; row <= bottom; row++) {
for (let col = left; col <= right; col++) {
positionVector.set(0, 0, col - originX);
positionVector.set(0, 1, row - originY);
inverseTransformMatrix.multiply(positionVector, originalPosition);
const originalX = Math.round(originalPosition.get(0, 0) + originX);
const originalY = Math.round(originalPosition.get(0, 1) + originY);
const outsideImageBounds = originalX < 0 || originalY < 0 || originalX >= imageData.width || originalY >= imageData.height;
Eif (!outsideImageBounds) {
setPixel(newImageData, col - left, row - top, getPixel(imageData, originalX, originalY));
}
}
}
return {
newImageData,
left,
top,
};
}
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