Core Types

const v = new Vector2i(10, 20);
v.x;
v.y; // direct access
v.width;
v.height; // aliases for x / y (useful when treating the vector as a size)

// Static factories
Vector2i.zero(); // (0, 0) - cached frozen singleton
Vector2i.one(); // (1, 1) - cached frozen singleton
Vector2i.up(); // (0, -1)
Vector2i.down(); // (0, 1)
Vector2i.left(); // (-1, 0)
Vector2i.right(); // (1, 0)
Vector2i.fromFloat(x, y); // truncate floats → integer vector

// Math utilities
Vector2i.distance(a, b); // Euclidean distance (float)
Vector2i.sqrDistance(a, b); // squared distance (avoids sqrt)
Vector2i.dotProduct(a, b); // scalar dot product
Vector2i.lerp(a, b, t); // interpolate, t clamped [0,1], result truncated
Vector2i.lerpTo(a, b, t, out); // zero-allocation lerp into existing vector

const r = new Rect2i(x, y, width, height);

// Static factories
Rect2i.zero(); // (0,0,0,0) - cached frozen singleton
Rect2i.fromMinMax(min, max); // from corner vectors
Rect2i.fromMinMaxXY(minX, minY, maxX, maxY); // zero-allocation variant
Rect2i.fromCenterSize(center, size); // centered rectangle
Rect2i.fromCenterSizeXY(cx, cy, w, h); // zero-allocation variant
Rect2i.fromTile(col, row, tileSize); // one cell of a grid of equal tiles

// Instance methods
r.isContaining(point); // boolean - point inside rect
r.isContainingXY(px, py); // boolean - raw coordinates, no Vector2i alloc
r.isIntersecting(other); // boolean - rects overlap
r.isEqual(other); // boolean - same position and size
r.intersection(other); // Rect2i | null - overlap area
r.intersectTo(other, out); // boolean - write overlap into out when it exists
r.center; // Vector2i getter
r.min; // Vector2i getter (top-left)
r.max; // Vector2i getter (bottom-right)

const c = new Color32(r, g, b, a);

// Cached color constants (static getters; frozen singletons)
Color32.white;
Color32.black;
Color32.transparent;
Color32.red;
Color32.green;
Color32.blue;
Color32.yellow;
Color32.cyan;
Color32.magenta;
Color32.gray(value); // grayscale, value 0-255

// Hex parsing
Color32.fromHex('#ff8800'); // returns Color32

// Named color registry (global, case-insensitive)
Color32.registerColor('brand', new Color32(255, 128, 0, 255));
Color32.resolveNamedColor('brand'); // → Color32 | undefined
Color32.updateColor('brand', newColor);
Color32.unregisterColor('brand');

// Interpolation
Color32.lerp(ca, cb, t); // blend a→b; t clamped [0,1]; RGBA independent; truncates like instance lerp
c.lerp(other, t); // same semantics as static helper

// Conversion
c.toFloat32Array(); // [r/255, g/255, b/255, a/255]
c.luminance; // perceived brightness: 0.299r + 0.587g + 0.114b
c.toHex(); // '#rrggbb' string
c.isEqual(other); // boolean - all RGBA channels match

// Linear light (real sRGB piecewise transfer, not a 2.2 power)
c.toLinear(); // encoded sRGB → linear light; alpha untouched
c.toSrgb(); // linear light → encoded sRGB
c.toLinearInPlace(); // same, mutating; returns this
c.toSrgbInPlace();