generateTangents function
void
generateTangents(
- Vector4List tangents,
- Vector3List positions,
- Vector3List normals,
- Vector2List texCoords,
- Uint16List indices,
Generate vertex tangents based on a list of positions
, normals
,
texCoords
and indices
.
tangents
is assumed to be zeroed out, and much match positions
,
normals
, and texCoords
in length.
indices
is assumed to represent a triangle list.
Tangents are returned as Vector4s. The X, Y, and Z component represent
the tangent and the W component represents the direction of the bitangent
which can be generated as:
vec4 bitangent = cross(normal, tangent.xyz) * tangent.w;
Derived from the granddaddy of all tangent generation functions:
http://www.terathon.com/code/tangent.html
Implementation
void generateTangents(Vector4List tangents, Vector3List positions,
Vector3List normals, Vector2List texCoords, Uint16List indices) {
final p0 = Vector3.zero(),
p1 = Vector3.zero(),
p2 = Vector3.zero(),
n = Vector3.zero(),
t = Vector3.zero(),
udir = Vector3.zero(),
vdir = Vector3.zero();
final uv0 = Vector2.zero(), uv1 = Vector2.zero(), uv2 = Vector2.zero();
final tan = Vector4.zero();
final tan0 = Vector3List(positions.length),
tan1 = Vector3List(positions.length);
for (var i = 0; i < indices.length; i += 3) {
final i0 = indices[i], i1 = indices[i + 1], i2 = indices[i + 2];
positions
..load(i0, p0)
..load(i1, p1)
..load(i2, p2);
texCoords
..load(i0, uv0)
..load(i1, uv1)
..load(i2, uv2);
p1.sub(p0);
p2.sub(p0);
uv1.sub(uv0);
uv2.sub(uv0);
final r = 1.0 / (uv1.x * uv2.y - uv2.x * uv1.y);
udir.setValues((uv2.y * p1.x - uv1.y * p2.x) * r,
(uv2.y * p1.y - uv1.y * p2.y) * r, (uv2.y * p1.z - uv1.y * p2.z) * r);
vdir.setValues((uv1.x * p2.x - uv2.x * p1.x) * r,
(uv1.x * p2.y - uv2.x * p1.y) * r, (uv1.x * p2.z - uv2.x * p1.z) * r);
tan0.load(i0, p0);
tan0[i0] = p0..add(udir);
tan0.load(i1, p0);
tan0[i1] = p0..add(udir);
tan0.load(i2, p0);
tan0[i2] = p0..add(udir);
tan1.load(i0, p0);
tan1[i0] = p0..add(vdir);
tan1.load(i1, p0);
tan1[i1] = p0..add(vdir);
tan1.load(i2, p0);
tan1[i2] = p0..add(vdir);
}
for (var i = 0; i < tangents.length; ++i) {
normals.load(i, n);
tan0.load(i, t);
p1
..setFrom(n)
..scale(n.dot(t));
p0
..setFrom(t)
..sub(p1)
..normalize();
tan1.load(i, p1);
n.crossInto(t, p2);
final sign = (p2.dot(p1) < 0.0) ? -1.0 : 1.0;
tangents.load(i, tan);
tangents[i] = tan..setValues(p0.x, p0.y, p0.z, sign);
}
}