📄 TeapotGeometry.js¶
📊 Analysis Summary¶
| Metric | Count |
|---|---|
| 🔧 Functions | 1 |
| 🧱 Classes | 1 |
| 📦 Imports | 5 |
| 📊 Variables & Constants | 52 |
📚 Table of Contents¶
🛠️ File Location:¶
📂 examples/jsm/geometries/TeapotGeometry.js
📦 Imports¶
| Name | Source |
|---|---|
BufferAttribute |
three |
BufferGeometry |
three |
Matrix4 |
three |
Vector3 |
three |
Vector4 |
three |
Variables & Constants¶
| Name | Type | Kind | Value | Exported |
|---|---|---|---|---|
teapotPatches |
number[] |
let/var | [ /*rim*/ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 3, 16, 17, 18... |
✗ |
teapotVertices |
number[] |
let/var | [ 1.4, 0, 2.4, 1.4, - 0.784, 2.4, 0.784, - 1.4, 2.4, 0, - 1.4, 2.4, 1.3375, 0... |
✗ |
blinnScale |
1.3 |
let/var | 1.3 |
✗ |
maxHeight |
number |
let/var | 3.15 * ( blinn ? 1 : blinnScale ) |
✗ |
maxHeight2 |
number |
let/var | maxHeight / 2 |
✗ |
trueSize |
number |
let/var | size / maxHeight2 |
✗ |
numTriangles |
number |
let/var | bottom ? ( 8 * segments - 4 ) * segments : 0 |
✗ |
indices |
Uint32Array<ArrayBuffer> |
let/var | new Uint32Array( numTriangles * 3 ) |
✗ |
numVertices |
number |
let/var | bottom ? 4 : 0 |
✗ |
vertices |
Float32Array<ArrayBuffer> |
let/var | new Float32Array( numVertices * 3 ) |
✗ |
normals |
Float32Array<ArrayBuffer> |
let/var | new Float32Array( numVertices * 3 ) |
✗ |
uvs |
Float32Array<ArrayBuffer> |
let/var | new Float32Array( numVertices * 2 ) |
✗ |
ms |
any |
let/var | new Matrix4() |
✗ |
g |
any[] |
let/var | [] |
✗ |
sp |
any[] |
let/var | [] |
✗ |
tp |
any[] |
let/var | [] |
✗ |
dsp |
any[] |
let/var | [] |
✗ |
dtp |
any[] |
let/var | [] |
✗ |
mgm |
any[] |
let/var | [] |
✗ |
vert |
any[] |
let/var | [] |
✗ |
sdir |
any[] |
let/var | [] |
✗ |
tdir |
any[] |
let/var | [] |
✗ |
norm |
any |
let/var | new Vector3() |
✗ |
tcoord |
any |
let/var | *not shown* |
✗ |
sval |
any |
let/var | *not shown* |
✗ |
tval |
any |
let/var | *not shown* |
✗ |
p |
any |
let/var | *not shown* |
✗ |
dsval |
number |
let/var | 0 |
✗ |
dtval |
number |
let/var | 0 |
✗ |
normOut |
any |
let/var | new Vector3() |
✗ |
gmx |
any |
let/var | new Matrix4() |
✗ |
tmtx |
any |
let/var | new Matrix4() |
✗ |
vsp |
any |
let/var | new Vector4() |
✗ |
vtp |
any |
let/var | new Vector4() |
✗ |
vdsp |
any |
let/var | new Vector4() |
✗ |
vdtp |
any |
let/var | new Vector4() |
✗ |
vsdir |
any |
let/var | new Vector3() |
✗ |
vtdir |
any |
let/var | new Vector3() |
✗ |
minPatches |
0 \| 20 |
let/var | body ? 0 : 20 |
✗ |
maxPatches |
32 \| 28 |
let/var | bottom ? 32 : 28 |
✗ |
vertPerRow |
number |
let/var | segments + 1 |
✗ |
surfCount |
number |
let/var | 0 |
✗ |
vertCount |
number |
let/var | 0 |
✗ |
normCount |
number |
let/var | 0 |
✗ |
uvCount |
number |
let/var | 0 |
✗ |
indexCount |
number |
let/var | 0 |
✗ |
s |
number |
let/var | sstep / segments |
✗ |
t |
number |
let/var | tstep / segments |
✗ |
v1 |
number |
let/var | surfCount * vertPerRow * vertPerRow + sstep * vertPerRow + tstep |
✗ |
v2 |
number |
let/var | v1 + 1 |
✗ |
v3 |
number |
let/var | v2 + vertPerRow |
✗ |
v4 |
number |
let/var | v1 + vertPerRow |
✗ |
Functions¶
notDegenerate(vtx1: any, vtx2: any, vtx3: any): boolean¶
Parameters:
vtx1anyvtx2anyvtx3any
Returns: boolean
Code
( vtx1, vtx2, vtx3 ) => // if any vertex matches, return false
! ( ( ( vertices[ vtx1 * 3 ] === vertices[ vtx2 * 3 ] ) &&
( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx2 * 3 + 1 ] ) &&
( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx2 * 3 + 2 ] ) ) ||
( ( vertices[ vtx1 * 3 ] === vertices[ vtx3 * 3 ] ) &&
( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) ) || ( vertices[ vtx2 * 3 ] === vertices[ vtx3 * 3 ] ) &&
( vertices[ vtx2 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
( vertices[ vtx2 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) )
Classes¶
TeapotGeometry¶
Class Code
class TeapotGeometry extends BufferGeometry {
/**
* Constructs a new teapot geometry.
*
* @param {number} [size=50] - Relative scale of the teapot.
* @param {number} [segments=10] - Number of line segments to subdivide each patch edge.
* @param {boolean} [bottom=true] - Whether the bottom of the teapot is generated or not.
* @param {boolean} [lid=true] - Whether the lid is generated or not.
* @param {boolean} [body=true] - Whether the body is generated or not.
* @param {boolean} [fitLid=true] - Whether the lid is slightly stretched to prevent gaps between the body and lid or not.
* @param {boolean} [blinn=true] - Whether the teapot is scaled vertically for better aesthetics or not.
*/
constructor( size = 50, segments = 10, bottom = true, lid = true, body = true, fitLid = true, blinn = true ) {
// 32 * 4 * 4 Bezier spline patches
const teapotPatches = [
/*rim*/
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
3, 16, 17, 18, 7, 19, 20, 21, 11, 22, 23, 24, 15, 25, 26, 27,
18, 28, 29, 30, 21, 31, 32, 33, 24, 34, 35, 36, 27, 37, 38, 39,
30, 40, 41, 0, 33, 42, 43, 4, 36, 44, 45, 8, 39, 46, 47, 12,
/*body*/
12, 13, 14, 15, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
15, 25, 26, 27, 51, 60, 61, 62, 55, 63, 64, 65, 59, 66, 67, 68,
27, 37, 38, 39, 62, 69, 70, 71, 65, 72, 73, 74, 68, 75, 76, 77,
39, 46, 47, 12, 71, 78, 79, 48, 74, 80, 81, 52, 77, 82, 83, 56,
56, 57, 58, 59, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
59, 66, 67, 68, 87, 96, 97, 98, 91, 99, 100, 101, 95, 102, 103, 104,
68, 75, 76, 77, 98, 105, 106, 107, 101, 108, 109, 110, 104, 111, 112, 113,
77, 82, 83, 56, 107, 114, 115, 84, 110, 116, 117, 88, 113, 118, 119, 92,
/*handle*/
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135,
123, 136, 137, 120, 127, 138, 139, 124, 131, 140, 141, 128, 135, 142, 143, 132,
132, 133, 134, 135, 144, 145, 146, 147, 148, 149, 150, 151, 68, 152, 153, 154,
135, 142, 143, 132, 147, 155, 156, 144, 151, 157, 158, 148, 154, 159, 160, 68,
/*spout*/
161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
164, 177, 178, 161, 168, 179, 180, 165, 172, 181, 182, 169, 176, 183, 184, 173,
173, 174, 175, 176, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
176, 183, 184, 173, 188, 197, 198, 185, 192, 199, 200, 189, 196, 201, 202, 193,
/*lid*/
203, 203, 203, 203, 204, 205, 206, 207, 208, 208, 208, 208, 209, 210, 211, 212,
203, 203, 203, 203, 207, 213, 214, 215, 208, 208, 208, 208, 212, 216, 217, 218,
203, 203, 203, 203, 215, 219, 220, 221, 208, 208, 208, 208, 218, 222, 223, 224,
203, 203, 203, 203, 221, 225, 226, 204, 208, 208, 208, 208, 224, 227, 228, 209,
209, 210, 211, 212, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240,
212, 216, 217, 218, 232, 241, 242, 243, 236, 244, 245, 246, 240, 247, 248, 249,
218, 222, 223, 224, 243, 250, 251, 252, 246, 253, 254, 255, 249, 256, 257, 258,
224, 227, 228, 209, 252, 259, 260, 229, 255, 261, 262, 233, 258, 263, 264, 237,
/*bottom*/
265, 265, 265, 265, 266, 267, 268, 269, 270, 271, 272, 273, 92, 119, 118, 113,
265, 265, 265, 265, 269, 274, 275, 276, 273, 277, 278, 279, 113, 112, 111, 104,
265, 265, 265, 265, 276, 280, 281, 282, 279, 283, 284, 285, 104, 103, 102, 95,
265, 265, 265, 265, 282, 286, 287, 266, 285, 288, 289, 270, 95, 94, 93, 92
];
const teapotVertices = [
1.4, 0, 2.4,
1.4, - 0.784, 2.4,
0.784, - 1.4, 2.4,
0, - 1.4, 2.4,
1.3375, 0, 2.53125,
1.3375, - 0.749, 2.53125,
0.749, - 1.3375, 2.53125,
0, - 1.3375, 2.53125,
1.4375, 0, 2.53125,
1.4375, - 0.805, 2.53125,
0.805, - 1.4375, 2.53125,
0, - 1.4375, 2.53125,
1.5, 0, 2.4,
1.5, - 0.84, 2.4,
0.84, - 1.5, 2.4,
0, - 1.5, 2.4,
- 0.784, - 1.4, 2.4,
- 1.4, - 0.784, 2.4,
- 1.4, 0, 2.4,
- 0.749, - 1.3375, 2.53125,
- 1.3375, - 0.749, 2.53125,
- 1.3375, 0, 2.53125,
- 0.805, - 1.4375, 2.53125,
- 1.4375, - 0.805, 2.53125,
- 1.4375, 0, 2.53125,
- 0.84, - 1.5, 2.4,
- 1.5, - 0.84, 2.4,
- 1.5, 0, 2.4,
- 1.4, 0.784, 2.4,
- 0.784, 1.4, 2.4,
0, 1.4, 2.4,
- 1.3375, 0.749, 2.53125,
- 0.749, 1.3375, 2.53125,
0, 1.3375, 2.53125,
- 1.4375, 0.805, 2.53125,
- 0.805, 1.4375, 2.53125,
0, 1.4375, 2.53125,
- 1.5, 0.84, 2.4,
- 0.84, 1.5, 2.4,
0, 1.5, 2.4,
0.784, 1.4, 2.4,
1.4, 0.784, 2.4,
0.749, 1.3375, 2.53125,
1.3375, 0.749, 2.53125,
0.805, 1.4375, 2.53125,
1.4375, 0.805, 2.53125,
0.84, 1.5, 2.4,
1.5, 0.84, 2.4,
1.75, 0, 1.875,
1.75, - 0.98, 1.875,
0.98, - 1.75, 1.875,
0, - 1.75, 1.875,
2, 0, 1.35,
2, - 1.12, 1.35,
1.12, - 2, 1.35,
0, - 2, 1.35,
2, 0, 0.9,
2, - 1.12, 0.9,
1.12, - 2, 0.9,
0, - 2, 0.9,
- 0.98, - 1.75, 1.875,
- 1.75, - 0.98, 1.875,
- 1.75, 0, 1.875,
- 1.12, - 2, 1.35,
- 2, - 1.12, 1.35,
- 2, 0, 1.35,
- 1.12, - 2, 0.9,
- 2, - 1.12, 0.9,
- 2, 0, 0.9,
- 1.75, 0.98, 1.875,
- 0.98, 1.75, 1.875,
0, 1.75, 1.875,
- 2, 1.12, 1.35,
- 1.12, 2, 1.35,
0, 2, 1.35,
- 2, 1.12, 0.9,
- 1.12, 2, 0.9,
0, 2, 0.9,
0.98, 1.75, 1.875,
1.75, 0.98, 1.875,
1.12, 2, 1.35,
2, 1.12, 1.35,
1.12, 2, 0.9,
2, 1.12, 0.9,
2, 0, 0.45,
2, - 1.12, 0.45,
1.12, - 2, 0.45,
0, - 2, 0.45,
1.5, 0, 0.225,
1.5, - 0.84, 0.225,
0.84, - 1.5, 0.225,
0, - 1.5, 0.225,
1.5, 0, 0.15,
1.5, - 0.84, 0.15,
0.84, - 1.5, 0.15,
0, - 1.5, 0.15,
- 1.12, - 2, 0.45,
- 2, - 1.12, 0.45,
- 2, 0, 0.45,
- 0.84, - 1.5, 0.225,
- 1.5, - 0.84, 0.225,
- 1.5, 0, 0.225,
- 0.84, - 1.5, 0.15,
- 1.5, - 0.84, 0.15,
- 1.5, 0, 0.15,
- 2, 1.12, 0.45,
- 1.12, 2, 0.45,
0, 2, 0.45,
- 1.5, 0.84, 0.225,
- 0.84, 1.5, 0.225,
0, 1.5, 0.225,
- 1.5, 0.84, 0.15,
- 0.84, 1.5, 0.15,
0, 1.5, 0.15,
1.12, 2, 0.45,
2, 1.12, 0.45,
0.84, 1.5, 0.225,
1.5, 0.84, 0.225,
0.84, 1.5, 0.15,
1.5, 0.84, 0.15,
- 1.6, 0, 2.025,
- 1.6, - 0.3, 2.025,
- 1.5, - 0.3, 2.25,
- 1.5, 0, 2.25,
- 2.3, 0, 2.025,
- 2.3, - 0.3, 2.025,
- 2.5, - 0.3, 2.25,
- 2.5, 0, 2.25,
- 2.7, 0, 2.025,
- 2.7, - 0.3, 2.025,
- 3, - 0.3, 2.25,
- 3, 0, 2.25,
- 2.7, 0, 1.8,
- 2.7, - 0.3, 1.8,
- 3, - 0.3, 1.8,
- 3, 0, 1.8,
- 1.5, 0.3, 2.25,
- 1.6, 0.3, 2.025,
- 2.5, 0.3, 2.25,
- 2.3, 0.3, 2.025,
- 3, 0.3, 2.25,
- 2.7, 0.3, 2.025,
- 3, 0.3, 1.8,
- 2.7, 0.3, 1.8,
- 2.7, 0, 1.575,
- 2.7, - 0.3, 1.575,
- 3, - 0.3, 1.35,
- 3, 0, 1.35,
- 2.5, 0, 1.125,
- 2.5, - 0.3, 1.125,
- 2.65, - 0.3, 0.9375,
- 2.65, 0, 0.9375,
- 2, - 0.3, 0.9,
- 1.9, - 0.3, 0.6,
- 1.9, 0, 0.6,
- 3, 0.3, 1.35,
- 2.7, 0.3, 1.575,
- 2.65, 0.3, 0.9375,
- 2.5, 0.3, 1.125,
- 1.9, 0.3, 0.6,
- 2, 0.3, 0.9,
1.7, 0, 1.425,
1.7, - 0.66, 1.425,
1.7, - 0.66, 0.6,
1.7, 0, 0.6,
2.6, 0, 1.425,
2.6, - 0.66, 1.425,
3.1, - 0.66, 0.825,
3.1, 0, 0.825,
2.3, 0, 2.1,
2.3, - 0.25, 2.1,
2.4, - 0.25, 2.025,
2.4, 0, 2.025,
2.7, 0, 2.4,
2.7, - 0.25, 2.4,
3.3, - 0.25, 2.4,
3.3, 0, 2.4,
1.7, 0.66, 0.6,
1.7, 0.66, 1.425,
3.1, 0.66, 0.825,
2.6, 0.66, 1.425,
2.4, 0.25, 2.025,
2.3, 0.25, 2.1,
3.3, 0.25, 2.4,
2.7, 0.25, 2.4,
2.8, 0, 2.475,
2.8, - 0.25, 2.475,
3.525, - 0.25, 2.49375,
3.525, 0, 2.49375,
2.9, 0, 2.475,
2.9, - 0.15, 2.475,
3.45, - 0.15, 2.5125,
3.45, 0, 2.5125,
2.8, 0, 2.4,
2.8, - 0.15, 2.4,
3.2, - 0.15, 2.4,
3.2, 0, 2.4,
3.525, 0.25, 2.49375,
2.8, 0.25, 2.475,
3.45, 0.15, 2.5125,
2.9, 0.15, 2.475,
3.2, 0.15, 2.4,
2.8, 0.15, 2.4,
0, 0, 3.15,
0.8, 0, 3.15,
0.8, - 0.45, 3.15,
0.45, - 0.8, 3.15,
0, - 0.8, 3.15,
0, 0, 2.85,
0.2, 0, 2.7,
0.2, - 0.112, 2.7,
0.112, - 0.2, 2.7,
0, - 0.2, 2.7,
- 0.45, - 0.8, 3.15,
- 0.8, - 0.45, 3.15,
- 0.8, 0, 3.15,
- 0.112, - 0.2, 2.7,
- 0.2, - 0.112, 2.7,
- 0.2, 0, 2.7,
- 0.8, 0.45, 3.15,
- 0.45, 0.8, 3.15,
0, 0.8, 3.15,
- 0.2, 0.112, 2.7,
- 0.112, 0.2, 2.7,
0, 0.2, 2.7,
0.45, 0.8, 3.15,
0.8, 0.45, 3.15,
0.112, 0.2, 2.7,
0.2, 0.112, 2.7,
0.4, 0, 2.55,
0.4, - 0.224, 2.55,
0.224, - 0.4, 2.55,
0, - 0.4, 2.55,
1.3, 0, 2.55,
1.3, - 0.728, 2.55,
0.728, - 1.3, 2.55,
0, - 1.3, 2.55,
1.3, 0, 2.4,
1.3, - 0.728, 2.4,
0.728, - 1.3, 2.4,
0, - 1.3, 2.4,
- 0.224, - 0.4, 2.55,
- 0.4, - 0.224, 2.55,
- 0.4, 0, 2.55,
- 0.728, - 1.3, 2.55,
- 1.3, - 0.728, 2.55,
- 1.3, 0, 2.55,
- 0.728, - 1.3, 2.4,
- 1.3, - 0.728, 2.4,
- 1.3, 0, 2.4,
- 0.4, 0.224, 2.55,
- 0.224, 0.4, 2.55,
0, 0.4, 2.55,
- 1.3, 0.728, 2.55,
- 0.728, 1.3, 2.55,
0, 1.3, 2.55,
- 1.3, 0.728, 2.4,
- 0.728, 1.3, 2.4,
0, 1.3, 2.4,
0.224, 0.4, 2.55,
0.4, 0.224, 2.55,
0.728, 1.3, 2.55,
1.3, 0.728, 2.55,
0.728, 1.3, 2.4,
1.3, 0.728, 2.4,
0, 0, 0,
1.425, 0, 0,
1.425, 0.798, 0,
0.798, 1.425, 0,
0, 1.425, 0,
1.5, 0, 0.075,
1.5, 0.84, 0.075,
0.84, 1.5, 0.075,
0, 1.5, 0.075,
- 0.798, 1.425, 0,
- 1.425, 0.798, 0,
- 1.425, 0, 0,
- 0.84, 1.5, 0.075,
- 1.5, 0.84, 0.075,
- 1.5, 0, 0.075,
- 1.425, - 0.798, 0,
- 0.798, - 1.425, 0,
0, - 1.425, 0,
- 1.5, - 0.84, 0.075,
- 0.84, - 1.5, 0.075,
0, - 1.5, 0.075,
0.798, - 1.425, 0,
1.425, - 0.798, 0,
0.84, - 1.5, 0.075,
1.5, - 0.84, 0.075
];
super();
// number of segments per patch
segments = Math.max( 2, Math.floor( segments ) );
// Jim Blinn scaled the teapot down in size by about 1.3 for
// some rendering tests. He liked the new proportions that he kept
// the data in this form. The model was distributed with these new
// proportions and became the norm. Trivia: comparing images of the
// real teapot and the computer model, the ratio for the bowl of the
// real teapot is more like 1.25, but since 1.3 is the traditional
// value given, we use it here.
const blinnScale = 1.3;
// scale the size to be the real scaling factor
const maxHeight = 3.15 * ( blinn ? 1 : blinnScale );
const maxHeight2 = maxHeight / 2;
const trueSize = size / maxHeight2;
// Number of elements depends on what is needed. Subtract degenerate
// triangles at tip of bottom and lid out in advance.
let numTriangles = bottom ? ( 8 * segments - 4 ) * segments : 0;
numTriangles += lid ? ( 16 * segments - 4 ) * segments : 0;
numTriangles += body ? 40 * segments * segments : 0;
const indices = new Uint32Array( numTriangles * 3 );
let numVertices = bottom ? 4 : 0;
numVertices += lid ? 8 : 0;
numVertices += body ? 20 : 0;
numVertices *= ( segments + 1 ) * ( segments + 1 );
const vertices = new Float32Array( numVertices * 3 );
const normals = new Float32Array( numVertices * 3 );
const uvs = new Float32Array( numVertices * 2 );
// Bezier form
const ms = new Matrix4();
ms.set(
- 1.0, 3.0, - 3.0, 1.0,
3.0, - 6.0, 3.0, 0.0,
- 3.0, 3.0, 0.0, 0.0,
1.0, 0.0, 0.0, 0.0 );
const g = [];
const sp = [];
const tp = [];
const dsp = [];
const dtp = [];
// M * G * M matrix, sort of see
// http://www.cs.helsinki.fi/group/goa/mallinnus/curves/surfaces.html
const mgm = [];
const vert = [];
const sdir = [];
const tdir = [];
const norm = new Vector3();
let tcoord;
let sval;
let tval;
let p;
let dsval = 0;
let dtval = 0;
const normOut = new Vector3();
const gmx = new Matrix4();
const tmtx = new Matrix4();
const vsp = new Vector4();
const vtp = new Vector4();
const vdsp = new Vector4();
const vdtp = new Vector4();
const vsdir = new Vector3();
const vtdir = new Vector3();
const mst = ms.clone();
mst.transpose();
// internal function: test if triangle has any matching vertices;
// if so, don't save triangle, since it won't display anything.
const notDegenerate = ( vtx1, vtx2, vtx3 ) => // if any vertex matches, return false
! ( ( ( vertices[ vtx1 * 3 ] === vertices[ vtx2 * 3 ] ) &&
( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx2 * 3 + 1 ] ) &&
( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx2 * 3 + 2 ] ) ) ||
( ( vertices[ vtx1 * 3 ] === vertices[ vtx3 * 3 ] ) &&
( vertices[ vtx1 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
( vertices[ vtx1 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) ) || ( vertices[ vtx2 * 3 ] === vertices[ vtx3 * 3 ] ) &&
( vertices[ vtx2 * 3 + 1 ] === vertices[ vtx3 * 3 + 1 ] ) &&
( vertices[ vtx2 * 3 + 2 ] === vertices[ vtx3 * 3 + 2 ] ) );
for ( let i = 0; i < 3; i ++ ) {
mgm[ i ] = new Matrix4();
}
const minPatches = body ? 0 : 20;
const maxPatches = bottom ? 32 : 28;
const vertPerRow = segments + 1;
let surfCount = 0;
let vertCount = 0;
let normCount = 0;
let uvCount = 0;
let indexCount = 0;
for ( let surf = minPatches; surf < maxPatches; surf ++ ) {
// lid is in the middle of the data, patches 20-27,
// so ignore it for this part of the loop if the lid is not desired
if ( lid || ( surf < 20 || surf >= 28 ) ) {
// get M * G * M matrix for x,y,z
for ( let i = 0; i < 3; i ++ ) {
// get control patches
for ( let r = 0; r < 4; r ++ ) {
for ( let c = 0; c < 4; c ++ ) {
// transposed
g[ c * 4 + r ] = teapotVertices[ teapotPatches[ surf * 16 + r * 4 + c ] * 3 + i ];
// is the lid to be made larger, and is this a point on the lid
// that is X or Y?
if ( fitLid && ( surf >= 20 && surf < 28 ) && ( i !== 2 ) ) {
// increase XY size by 7.7%, found empirically. I don't
// increase Z so that the teapot will continue to fit in the
// space -1 to 1 for Y (Y is up for the final model).
g[ c * 4 + r ] *= 1.077;
}
// Blinn "fixed" the teapot by dividing Z by blinnScale, and that's the
// data we now use. The original teapot is taller. Fix it:
if ( ! blinn && ( i === 2 ) ) {
g[ c * 4 + r ] *= blinnScale;
}
}
}
gmx.set( g[ 0 ], g[ 1 ], g[ 2 ], g[ 3 ], g[ 4 ], g[ 5 ], g[ 6 ], g[ 7 ], g[ 8 ], g[ 9 ], g[ 10 ], g[ 11 ], g[ 12 ], g[ 13 ], g[ 14 ], g[ 15 ] );
tmtx.multiplyMatrices( gmx, ms );
mgm[ i ].multiplyMatrices( mst, tmtx );
}
// step along, get points, and output
for ( let sstep = 0; sstep <= segments; sstep ++ ) {
const s = sstep / segments;
for ( let tstep = 0; tstep <= segments; tstep ++ ) {
const t = tstep / segments;
// point from basis
// get power vectors and their derivatives
for ( p = 4, sval = tval = 1.0; p --; ) {
sp[ p ] = sval;
tp[ p ] = tval;
sval *= s;
tval *= t;
if ( p === 3 ) {
dsp[ p ] = dtp[ p ] = 0.0;
dsval = dtval = 1.0;
} else {
dsp[ p ] = dsval * ( 3 - p );
dtp[ p ] = dtval * ( 3 - p );
dsval *= s;
dtval *= t;
}
}
vsp.fromArray( sp );
vtp.fromArray( tp );
vdsp.fromArray( dsp );
vdtp.fromArray( dtp );
// do for x,y,z
for ( let i = 0; i < 3; i ++ ) {
// multiply power vectors times matrix to get value
tcoord = vsp.clone();
tcoord.applyMatrix4( mgm[ i ] );
vert[ i ] = tcoord.dot( vtp );
// get s and t tangent vectors
tcoord = vdsp.clone();
tcoord.applyMatrix4( mgm[ i ] );
sdir[ i ] = tcoord.dot( vtp );
tcoord = vsp.clone();
tcoord.applyMatrix4( mgm[ i ] );
tdir[ i ] = tcoord.dot( vdtp );
}
// find normal
vsdir.fromArray( sdir );
vtdir.fromArray( tdir );
norm.crossVectors( vtdir, vsdir );
norm.normalize();
// if X and Z length is 0, at the cusp, so point the normal up or down, depending on patch number
if ( vert[ 0 ] === 0 && vert[ 1 ] === 0 ) {
// if above the middle of the teapot, normal points up, else down
normOut.set( 0, vert[ 2 ] > maxHeight2 ? 1 : - 1, 0 );
} else {
// standard output: rotate on X axis
normOut.set( norm.x, norm.z, - norm.y );
}
// store it all
vertices[ vertCount ++ ] = trueSize * vert[ 0 ];
vertices[ vertCount ++ ] = trueSize * ( vert[ 2 ] - maxHeight2 );
vertices[ vertCount ++ ] = - trueSize * vert[ 1 ];
normals[ normCount ++ ] = normOut.x;
normals[ normCount ++ ] = normOut.y;
normals[ normCount ++ ] = normOut.z;
uvs[ uvCount ++ ] = 1 - t;
uvs[ uvCount ++ ] = 1 - s;
}
}
// save the faces
for ( let sstep = 0; sstep < segments; sstep ++ ) {
for ( let tstep = 0; tstep < segments; tstep ++ ) {
const v1 = surfCount * vertPerRow * vertPerRow + sstep * vertPerRow + tstep;
const v2 = v1 + 1;
const v3 = v2 + vertPerRow;
const v4 = v1 + vertPerRow;
// Normals and UVs cannot be shared. Without clone(), you can see the consequences
// of sharing if you call geometry.applyMatrix4( matrix ).
if ( notDegenerate( v1, v2, v3 ) ) {
indices[ indexCount ++ ] = v1;
indices[ indexCount ++ ] = v2;
indices[ indexCount ++ ] = v3;
}
if ( notDegenerate( v1, v3, v4 ) ) {
indices[ indexCount ++ ] = v1;
indices[ indexCount ++ ] = v3;
indices[ indexCount ++ ] = v4;
}
}
}
// increment only if a surface was used
surfCount ++;
}
}
this.setIndex( new BufferAttribute( indices, 1 ) );
this.setAttribute( 'position', new BufferAttribute( vertices, 3 ) );
this.setAttribute( 'normal', new BufferAttribute( normals, 3 ) );
this.setAttribute( 'uv', new BufferAttribute( uvs, 2 ) );
this.computeBoundingSphere();
}
}