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archived-stlTexturizer/js/mapping.js
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JavaScript

/**
* CPU-side UV mapping — exact JavaScript mirror of the GLSL in previewMaterial.js.
* All functions take Three.js Vector3 objects for position/normal and
* a bounds object { min, max, center, size } (all THREE.Vector3).
*/
export const MODE_PLANAR_XY = 0;
export const MODE_PLANAR_XZ = 1;
export const MODE_PLANAR_YZ = 2;
export const MODE_CYLINDRICAL = 3;
export const MODE_SPHERICAL = 4;
export const MODE_TRIPLANAR = 5;
export const MODE_CUBIC = 6;
const TWO_PI = Math.PI * 2;
const CUBIC_AXIS_EPSILON = 1e-4;
export function getDominantCubicAxis(normal) {
const ax = Math.abs(normal.x);
const ay = Math.abs(normal.y);
const az = Math.abs(normal.z);
// Treat near-ties as an intentional tie so 45° faces pick one stable axis
// instead of flipping projection due to tiny normal jitter between triangles.
if (ax >= ay - CUBIC_AXIS_EPSILON && ax >= az - CUBIC_AXIS_EPSILON) return 'x';
if (ay >= az - CUBIC_AXIS_EPSILON) return 'y';
return 'z';
}
export function isAmbiguousCubicNormal(normal) {
const ax = Math.abs(normal.x);
const ay = Math.abs(normal.y);
const az = Math.abs(normal.z);
const axis = getDominantCubicAxis(normal);
const primary = axis === 'x' ? ax : axis === 'y' ? ay : az;
const secondary = axis === 'x' ? Math.max(ay, az) : axis === 'y' ? Math.max(ax, az) : Math.max(ax, ay);
return primary - secondary <= CUBIC_AXIS_EPSILON;
}
export function getCubicBlendWeights(normal, blend, seamBandWidth = 0.35) {
const axis = getDominantCubicAxis(normal);
const ax = Math.abs(normal.x);
const ay = Math.abs(normal.y);
const az = Math.abs(normal.z);
const primary = axis === 'x' ? ax : axis === 'y' ? ay : az;
const secondary = axis === 'x' ? Math.max(ay, az) : axis === 'y' ? Math.max(ax, az) : Math.max(ax, ay);
if (blend <= 0.001 || isAmbiguousCubicNormal(normal)) {
return {
x: axis === 'x' ? 1 : 0,
y: axis === 'y' ? 1 : 0,
z: axis === 'z' ? 1 : 0,
};
}
const oneHot = {
x: axis === 'x' ? 1 : 0,
y: axis === 'y' ? 1 : 0,
z: axis === 'z' ? 1 : 0,
};
// Only blend inside a seam band around the cube-face boundary. This keeps
// strongly dominant faces fully textured even when the slider is barely on.
const seamWidth = Math.max(seamBandWidth, CUBIC_AXIS_EPSILON * 2);
const seamMixRaw = 1 - Math.min(1, Math.max(0, (primary - secondary) / seamWidth));
const seamMix = blend * seamMixRaw * seamMixRaw * (3 - 2 * seamMixRaw);
if (seamMix <= 0.001) return oneHot;
// blend=1 should produce a genuinely soft triplanar-style transition.
// Lower blend values progressively sharpen the weights back toward a single
// dominant axis without snapping until the slider reaches zero.
const power = 1 + (1 - seamMix) * 11;
const sx = Math.pow(ax, power);
const sy = Math.pow(ay, power);
const sz = Math.pow(az, power);
const smoothSum = sx + sy + sz + 1e-6;
const smooth = {
x: sx / smoothSum,
y: sy / smoothSum,
z: sz / smoothSum,
};
const mx = oneHot.x * (1 - seamMix) + smooth.x * seamMix;
const my = oneHot.y * (1 - seamMix) + smooth.y * seamMix;
const mz = oneHot.z * (1 - seamMix) + smooth.z * seamMix;
const sum = mx + my + mz;
return {
x: mx / sum,
y: my / sum,
z: mz / sum,
};
}
/**
* Compute normalised UV coordinates [0, 1) (tiling) for a vertex.
*
* @param {{ x:number, y:number, z:number }} pos vertex position
* @param {{ x:number, y:number, z:number }} normal vertex normal (unit)
* @param {number} mode one of the MODE_* constants
* @param {{ scaleU:number, scaleV:number, offsetU:number, offsetV:number }} settings
* @param {{ min, max, center, size }} bounds THREE.Vector3 fields
* @returns {{ u:number, v:number }} tiled UV after scale+offset
*/
export function computeUV(pos, normal, mode, settings, bounds) {
const { min, size, center } = bounds;
const { scaleU, scaleV, offsetU, offsetV } = settings;
const rotRad = (settings.rotation ?? 0) * Math.PI / 180;
const maxDim = Math.max(size.x, size.y, size.z);
const md = Math.max(maxDim, 1e-6);
let u = 0, v = 0;
switch (mode) {
case MODE_PLANAR_XY: {
u = (pos.x - min.x) / md;
v = (pos.y - min.y) / md;
break;
}
case MODE_PLANAR_XZ: {
u = (pos.x - min.x) / md;
v = (pos.z - min.z) / md;
break;
}
case MODE_PLANAR_YZ: {
u = (pos.y - min.y) / md;
v = (pos.z - min.z) / md;
break;
}
case MODE_CYLINDRICAL: {
// mappingBlend=0 → pure side projection for all faces (original behaviour, no cap seam).
// mappingBlend>0 → smooth side↔cap blend.
const r = Math.max(size.x, size.y) * 0.5;
const C = TWO_PI * Math.max(r, 1e-6);
const rx = pos.x - center.x;
const ry = pos.y - center.y;
const blend = settings.mappingBlend ?? 0.0;
const theta = Math.atan2(ry, rx);
const uRaw = (theta / TWO_PI) + 0.5;
const vSide = (pos.z - min.z) / C;
// Seam smoothing: cross-fade between left-side and right-side texture
// continuations at the atan2 wrap. Both sides use smoothly varying UVs
// (shifted by ±1.0 in raw space), preserving full texture detail.
const seamBand = (settings.seamBandWidth ?? 0.5) * 0.1;
const seamDist = Math.min(uRaw, 1.0 - uRaw);
const inSeamZone = seamBand > 0.001 && seamDist < seamBand;
let sideSamples;
if (inSeamZone) {
const d = uRaw < 0.5 ? uRaw : uRaw - 1.0;
const tRaw = (d + seamBand) / (2.0 * seamBand);
const t = tRaw * tRaw * (3 - 2 * tRaw); // smoothstep
const tLeft = applyTransform(1.0 + d, vSide, scaleU, scaleV, offsetU, offsetV, rotRad);
const tRight = applyTransform(d, vSide, scaleU, scaleV, offsetU, offsetV, rotRad);
sideSamples = [
{ u: tRight.u, v: tRight.v, w: t },
{ u: tLeft.u, v: tLeft.v, w: 1 - t },
];
} else {
const tSide = applyTransform(uRaw, vSide, scaleU, scaleV, offsetU, offsetV, rotRad);
sideSamples = [{ u: tSide.u, v: tSide.v, w: 1 }];
}
if (blend <= 0.001) {
if (sideSamples.length === 1 && sideSamples[0].w === 1) return sideSamples[0];
return { triplanar: true, samples: sideSamples };
}
const capThreshold = Math.cos((settings.capAngle ?? 20) * Math.PI / 180);
const blendHalf = (settings.seamBandWidth ?? 0.5) * 0.5;
const absnz = Math.abs(normal.z);
const capW = Math.max(0, Math.min(1, (absnz - (capThreshold - blendHalf)) / (2 * blendHalf + 1e-6)));
if (capW <= 0) {
if (sideSamples.length === 1 && sideSamples[0].w === 1) return sideSamples[0];
return { triplanar: true, samples: sideSamples };
}
const uCap = rx / C + 0.5;
const vCap = ry / C + 0.5;
const tCap = applyTransform(uCap, vCap, scaleU, scaleV, offsetU, offsetV, rotRad);
if (capW >= 1) {
return tCap;
}
// Combine seam-blended side samples with cap sample
const samples = sideSamples.map(s => ({ u: s.u, v: s.v, w: s.w * (1 - capW) }));
samples.push({ u: tCap.u, v: tCap.v, w: capW });
return { triplanar: true, samples };
}
case MODE_SPHERICAL: {
const rx = pos.x - center.x;
const ry = pos.y - center.y;
const rz = pos.z - center.z;
const r = Math.sqrt(rx*rx + ry*ry + rz*rz);
const phi = Math.acos(Math.max(-1, Math.min(1, rz / Math.max(r, 1e-6)))); // [0, PI], Z is up
const theta = Math.atan2(ry, rx); // [-PI, PI]
const uRaw = (theta / TWO_PI) + 0.5;
const vRaw = phi / Math.PI;
// Seam smoothing: cross-fade at the atan2 wrap
const seamBand = (settings.seamBandWidth ?? 0.5) * 0.1;
const seamDist = Math.min(uRaw, 1.0 - uRaw);
if (seamBand > 0.001 && seamDist < seamBand) {
const d = uRaw < 0.5 ? uRaw : uRaw - 1.0;
const tRaw = (d + seamBand) / (2.0 * seamBand);
const t = tRaw * tRaw * (3 - 2 * tRaw); // smoothstep
const tLeft = applyTransform(1.0 + d, vRaw, scaleU, scaleV, offsetU, offsetV, rotRad);
const tRight = applyTransform(d, vRaw, scaleU, scaleV, offsetU, offsetV, rotRad);
return {
triplanar: true,
samples: [
{ u: tRight.u, v: tRight.v, w: t },
{ u: tLeft.u, v: tLeft.v, w: 1 - t },
],
};
}
u = uRaw;
v = vRaw;
break;
}
case MODE_CUBIC: {
const weights = getCubicBlendWeights(normal, settings.mappingBlend ?? 0.0, settings.seamBandWidth ?? 0.35);
const tYZ = applyTransform((pos.y - min.y) / md, (pos.z - min.z) / md, scaleU, scaleV, offsetU, offsetV, rotRad);
const tXZ = applyTransform((pos.x - min.x) / md, (pos.z - min.z) / md, scaleU, scaleV, offsetU, offsetV, rotRad);
const tXY = applyTransform((pos.x - min.x) / md, (pos.y - min.y) / md, scaleU, scaleV, offsetU, offsetV, rotRad);
if (weights.x > 0.999) return tYZ;
if (weights.y > 0.999) return tXZ;
if (weights.z > 0.999) return tXY;
return {
triplanar: true,
samples: [
{ u: tXY.u, v: tXY.v, w: weights.z },
{ u: tXZ.u, v: tXZ.v, w: weights.y },
{ u: tYZ.u, v: tYZ.v, w: weights.x },
],
};
}
case MODE_TRIPLANAR:
default: {
// World-space normal blending
const ax = Math.abs(normal.x);
const ay = Math.abs(normal.y);
const az = Math.abs(normal.z);
const pw = 4.0;
const bx = Math.pow(ax, pw);
const by = Math.pow(ay, pw);
const bz = Math.pow(az, pw);
const sum = bx + by + bz + 1e-6;
const wx = bx / sum;
const wy = by / sum;
const wz = bz / sum;
const uvXY = {
u: (pos.x - min.x) / md,
v: (pos.y - min.y) / md,
w: wz,
};
const uvXZ = {
u: (pos.x - min.x) / md,
v: (pos.z - min.z) / md,
w: wy,
};
const uvYZ = {
u: (pos.y - min.y) / md,
v: (pos.z - min.z) / md,
w: wx,
};
// Apply scale+offset+rotation and tile each independently
return {
triplanar: true,
samples: [
{ ...applyTransform(uvXY.u, uvXY.v, scaleU, scaleV, offsetU, offsetV, rotRad), w: uvXY.w },
{ ...applyTransform(uvXZ.u, uvXZ.v, scaleU, scaleV, offsetU, offsetV, rotRad), w: uvXZ.w },
{ ...applyTransform(uvYZ.u, uvYZ.v, scaleU, scaleV, offsetU, offsetV, rotRad), w: uvYZ.w },
],
};
}
}
return applyTransform(u, v, scaleU, scaleV, offsetU, offsetV, rotRad);
}
function applyTransform(u, v, scaleU, scaleV, offsetU, offsetV, rotRad) {
let uu = u / scaleU + offsetU;
let vv = v / scaleV + offsetV;
if (rotRad !== 0) {
const c = Math.cos(rotRad), s = Math.sin(rotRad);
uu -= 0.5; vv -= 0.5;
const ru = c * uu - s * vv;
const rv = s * uu + c * vv;
uu = ru + 0.5; vv = rv + 0.5;
}
return { triplanar: false, u: fract(uu), v: fract(vv) };
}
/** Fractional part, always positive (mirrors GLSL fract) */
function fract(x) { return x - Math.floor(x); }