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feat(engine): all figures and transformations ready

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This commit is contained in:
Andrew Robonen
2022-11-27 08:23:17 +07:00
parent ae9661f4b1
commit 77b552a310
7 changed files with 262 additions and 69 deletions
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210
src/components/board.vue
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@@ -21,48 +21,117 @@ onMounted(() => {
const centerX = sizeX / 2;
const centerY = sizeY / 2;
const figureSizeH = 200;
const figureSizeW = 200;
const figureSize = 200;
const points: Point[] = [
[0, 0, figureSizeH, 1],
[0, 100, 0, 1],
[95.1, 30.9, 0, 1],
[58.8, -80.9, 0, 1],
[-58.8, -80.9, 0, 1],
[-95.1, 30.9, 0, 1],
const figureList = {
[Figures.CUBE]: {
points: [
[0, 0, 0, 1],
[0, 0, 200, 1],
[0, 200, 0, 1],
[0, 200, 200, 1],
[200, 0, 0, 1],
[200, 0, 200, 1],
[200, 200, 0, 1],
[200, 200, 200, 1],
] as Point[],
faces: [
[0, 1, 3, 2],
[0, 1, 5, 4],
[0, 2, 6, 4],
[1, 3, 7, 5],
[2, 3, 7, 6],
[4, 5, 7, 6],
],
},
[Figures.OCTAHEDRON]: {
points: [
[0, 0, 100, 1],
[100, 100, 0, 1],
[100, -100, 0, 1],
[-100, -100, 0, 1],
[-100, 100, 0, 1],
[0, 0, -100, 1],
] as Point[],
faces: [
[0, 1, 2],
[0, 2, 3],
[0, 3, 4],
[0, 4, 1],
[5, 1, 2],
[5, 2, 3],
[5, 3, 4],
[5, 4, 1],
],
},
[Figures.TRIHEDRAL_PYRAMID]: {
points: [
[0, 0, 100, 1],
[0, 80, 0, 1],
[86.6, -50, 0, 1],
[-86.6, -50, 0, 1],
] as Point[],
faces: [
[0, 1, 2],
[0, 2, 3],
[0, 3, 1],
[1, 2, 3],
],
},
[Figures.SQUARE_PYRAMID]: {
points: [
[0, 0, figureSize, 1],
[100, 100, 0, 1],
[100, -100, 0, 1],
[-100, -100, 0, 1],
[-100, 100, 0, 1],
] as Point[],
faces: [
[0, 1, 2],
[0, 2, 3],
[0, 3, 4],
[0, 4, 1],
[1, 2, 3, 4],
],
},
[Figures.PENTAGONAL_PYRAMID]: {
points: [
[0, 0, figureSize, 1],
[0, 100, 0, 1],
[95.1, 30.9, 0, 1],
[58.8, -80.9, 0, 1],
[-58.8, -80.9, 0, 1],
[-95.1, 30.9, 0, 1],
] as Point[],
faces: [
[0, 1, 2],
[0, 2, 3],
[0, 3, 4],
[0, 4, 5],
[0, 5, 1],
[1, 2, 3, 4, 5],
],
},
};
const identityMatrix: Point[] = [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
];
const faces = [
[0, 1, 2],
[0, 2, 3],
[0, 3, 4],
[0, 4, 5],
[0, 5, 1],
[1, 2, 3, 4, 5],
const translationMatrix: Point[] = [
[1, 0, 0, 0],
[0, -1, 0, 0],
[0, 0, 1, 0],
[centerX, centerY, 0, 1],
];
// Cube
// const points: Point[] = [
// [0, 0, 0, 1],
// [0, 0, 100, 1],
// [0, 100, 0, 1],
// [0, 100, 100, 1],
// [100, 0, 0, 1],
// [100, 0, 100, 1],
// [100, 100, 0, 1],
// [100, 100, 100, 1],
// ];
//
// const faces = [
// [0, 1, 3, 2],
// [0, 1, 5, 4],
// [0, 2, 6, 4],
// [1, 3, 7, 5],
// [2, 3, 7, 6],
// [4, 5, 7, 6],
// ];
// Rotate around X axis
const rotateX = (angle: number): Point[] => {
const rad = (angle * Math.PI) / 180;
@@ -129,13 +198,43 @@ onMounted(() => {
];
};
const axonometryIsometric = (): Point[] => {
return [
const projections = {
[Projections.NONE]: (): Point[] => identityMatrix,
[Projections.ISOMETRIC]: (): Point[] => [
[0.707, -0.408, 0, 0],
[0, 0.816, 0, 0],
[-0.707, -0.408, 1, 0],
[0, 0, 0, 1],
];
],
[Projections.DIMETRIC]: (): Point[] => [
[0.926, 0.134, 0, 0],
[0, 0.935, 0, 0],
[0.378, -0.327, 0, 0],
[0, 0, 0, 1],
],
[Projections.TRIMETRIC]: (): Point[] => [
[0.866, 0.354, 0, 0],
[0, 0.707, 0, 0],
[0.5, -0.612, 0, 0],
[0, 0, 0, 1],
],
[Projections.ONE_POINT_PERSPECTIVE]: (): Point[] => [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 0, 0.001],
[0, 0, 0, 1],
],
[Projections.TWO_POINT_PERSPECTIVE]: (): Point[] => [
[1, 0, 0, 0.001],
[0, 1, 0, 0.001],
[0, 0, 0, 0],
[0, 0, 0, 1],
],
};
// Multiply array of points by matrix
@@ -193,18 +292,27 @@ onMounted(() => {
}
};
useTransformations((translation, rotation, scale) => {
const { currentFigure } = useFigure();
useTransformations((translation, rotation, scale, prj) => {
const matrix = mul([
figureList[currentFigure.value].points,
scaleMatrix(scale[0], scale[1], scale[2]),
rotate(rotation[0], rotation[1], rotation[2]),
translate(translation[0], translation[1], translation[2]),
projections[prj](),
]);
for (let i = 0; i < matrix.length; i++) {
matrix[i][0] = matrix[i][0] / matrix[i][3];
matrix[i][1] = matrix[i][1] / matrix[i][3];
matrix[i][2] = matrix[i][2] / matrix[i][3];
matrix[i][3] = 1;
}
drawFigure(
mul([
points,
scaleMatrix(scale[0], scale[1], scale[2]),
rotate(rotation[0], rotation[1], rotation[2]),
translate(translation[0], translation[1], translation[2]),
rotateX(-90),
axonometryIsometric(),
translate(centerX, centerY + figureSizeH / 2, 0),
]),
faces
mul([matrix, translationMatrix]),
figureList[currentFigure.value].faces
);
});
});