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Converting 2D coordinates to 3D coordinates #1

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210 changes: 201 additions & 9 deletions script.js
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Original file line number Diff line number Diff line change
Expand Up @@ -122,12 +122,68 @@ const resolvePeekX = () => {
PEEK.x = Math.sign(percY) * Math.pow(Math.abs(percY), 3) * MAX_TILT;
};

const DEFAULT_POS = {
top: {
x: -0.5,
y: -1,
z: -0.5,
rot: "1, 0, 0, 90deg",
perpendicularAxis: "y",
},
front: {
x: -0.5,
y: -0.5,
z: 1,
rot: "0, 1, 0, 0deg",
perpendicularAxis: "z",
},
left: {
x: -1,
y: -0.5,
z: -0.5,
rot: "0, 1, 0, -90deg",
perpendicularAxis: "x",
},
right: {
x: 1,
y: -0.5,
z: 0.5,
rot: "0, 1, 0, 90deg",
perpendicularAxis: "x",
},
bottom: {
x: -0.5,
y: 1,
z: 0.5,
rot: "1, 0, 0, -90deg",
perpendicularAxis: "y",
},
back: {
x: -0.5,
y: 0.5,
z: -1,
rot: "0, 1, 0, 180deg",
perpendicularAxis: "z",
},
};

const OFFSET = 0.01;

const getAxisTranslation = (axis, face, posValue) => {
const isPerpendicular = DEFAULT_POS[face].perpendicularAxis === axis;
return `calc(${isPerpendicular ? "var(--half-size)" : "var(--size)"} * ${
DEFAULT_POS[face][axis] * (1 + (isPerpendicular ? OFFSET : 0)) +
(posValue || 0)
})`;
};

const PLAYER = {
element: document.getElementById("player"),
x: 256,
y: 256,
w: 16,
h: 32,
customPos: undefined,

get midX() {
return this.x + this.w * 0.5;
Expand All @@ -136,15 +192,26 @@ const PLAYER = {
//

place() {
const xOffset = Math.floor(this.x / 512);
const yOffset = Math.floor(this.y / 512);
const transX =
((this.x - (256 + 512 * xOffset)) / 512) * 100 * (512 / this.w);
const transY =
((this.y - (256 + 512 * yOffset)) / 512) * 100 * (512 / this.h);
const YAxisRotations = xOffset * 90;
const XAxisRotations = yOffset * -90;
this.element.style.transform = `rotateY(${YAxisRotations}deg) rotateX(${XAxisRotations}deg) translate3d(${transX}%, ${transY}%, var(--half-size))`;
if (this.customPos) {
const { face, x, y, rot } = this.customPos;

const tX = getAxisTranslation("x", face, x);
const tY = getAxisTranslation("y", face, y);
const tZ = getAxisTranslation("z", face);

this.element.style.transform = `translate3d(${tX}, ${tY}, ${tZ}) rotate3d(${DEFAULT_POS[face].rot}) rotateX(${rot}deg)`;
} else {
const xOffset = Math.floor(this.x / 512);
const yOffset = Math.floor(this.y / 512);
const transX =
((this.x - (256 + 512 * xOffset)) / 512) * 100 * (512 / this.w);
const transY =
((this.y - (256 + 512 * yOffset)) / 512) * 100 * (512 / this.h);
const YAxisRotations = xOffset * 90;
const XAxisRotations = yOffset * -90;

this.element.style.transform = `rotateY(${YAxisRotations}deg) rotateX(${XAxisRotations}deg) translate3d(${transX}%, ${transY}%, var(--half-size))`;
}
},
};

Expand Down Expand Up @@ -174,3 +241,128 @@ const step = (timeStamp, then) => {
};

step(performance.now(), 0);

/*
grid square size = ∆

x-axis ->
x = 0 x = ∆ x = 2∆ x = 3∆
---------------------------------- y = 0
| | | | y
| R0C0 | T | R0C2 | -
| | | | a
---------------------------------- x y = ∆
| | | | i
| L | F | R | s
| | | |
---------------------------------- | y = 2∆
| | | | v
| R2C0 | Bo | R2C2 |
| | | |
---------------------------------- y = 3∆
| | | |
| R3C0 | Ba | R3C2 |
| | | |
---------------------------------- y = 4∆
*/

const getGridCellIndex = (gridSquareSize, axis, axisPos) => {
let indexes;
if (axis === "row") {
indexes = [0, 1, 2, 3];
} else if (axis === "col") {
indexes = [0, 1, 2];
}

if (!indexes) {
throw new Error(
`getGridCellIndex: Invalid param value for 'axis' (${axis}), must be 'row' or 'col'`
);
}

return indexes.find(
(index) =>
axisPos >= gridSquareSize * index &&
axisPos < gridSquareSize * (index + 1)
);
};

const getCurrentFace = (gridSquareSize, xPos, yPos) => {
const col = getGridCellIndex(gridSquareSize, "col", xPos);
const row = getGridCellIndex(gridSquareSize, "row", yPos);

// invalid grid squares
if (
(row === 0 && col === 0) ||
(row === 0 && col === 2) ||
(row === 2 && col === 0) ||
(row === 2 && col === 2) ||
(row === 3 && col === 0) ||
(row === 3 && col === 2)
) {
return undefined;
}

if (row === 0 && col === 1) {
return "top";
}

if (row === 1 && col === 0) {
return "left";
}

if (row === 1 && col === 1) {
return "front";
}

if (row === 1 && col === 2) {
return "right";
}

if (row === 2 && col === 1) {
return "bottom";
}

if (row === 3 && col === 1) {
return "back";
}
};

const convertPosition2dTo3d = (gridSquareSize, xPos, yPos, rotation) => {
const face = getCurrentFace(gridSquareSize, xPos, yPos);

if (!face) {
throw new Error(
`Player position (${xPos}, ${yPos}) results in an invalid face`
);
}

let startPos;
if (face === "top") {
startPos = { col: 1, row: 0 };
} else if (face === "left") {
startPos = { col: 0, row: 1 };
} else if (face === "front") {
startPos = { col: 1, row: 1 };
} else if (face === "right") {
startPos = { col: 2, row: 1 };
} else if (face === "bottom") {
startPos = { col: 1, row: 2 };
} else if (face === "back") {
startPos = { col: 1, row: 3 };
}

const endPos = { col: startPos.col + 1, row: startPos.row + 1 };

// x and y are percentages for how far along that value is on the given axis for the current face

const colStart = startPos.col * gridSquareSize;
const colEnd = endPos.col * gridSquareSize;
const x = (xPos - colStart) / (colEnd - colStart);

const rowStart = startPos.row * gridSquareSize;
const rowEnd = endPos.row * gridSquareSize;
const y = (yPos - rowStart) / (rowEnd - rowStart);

PLAYER.customPos = { face, x, y, rot: rotation };
};