//O is the texture origin.

uv.u = U.Dot(pos - O) / tex.width;
uv.v = V.Dot(pos - O) / tex.height;

//Source Map (LTA file):

O = XYZ(61.142525, -66.681351, -2.681343);

tex.width = 128;
tex.height = 128;

scale.u = 64;       //U *= tex.width / scale.u
scale.v = 128;      //V *= tex.height / scale.v

U = XYZ(0.551275, -1.359429, -1.359429);
V = XYZ(0.679715, -0.362181, 0.637819);

//Compiled Map (DAT file):

center = XYZ(69.746429, -57.017303, -5.2882347)

planes[0].normal = XYZ(0.456155, -0.690651, -0.561181);

tris[0].pos[0] = XYZ(69.962921, -88.432220, -24.432213);
tris[0].pos[1] = XYZ(82.267418, -75.580544, -30.247208);
tris[0].pos[2] = XYZ(109.21921, -85.164658, 3.4558060);

tris[0].uvs[0] = UV(0.49999994, -8.0748791e-008);
tris[0].uvs[1] = UV(0.47826001, -5.4909982e-008);
tris[0].uvs[2] = UV(0.33818126, 0.33818075);

//Project UV coordinates into 3D space.

//uv.v is negated for... reasons?

a = XYZ(uv1.u, -uv1.v, 0.0f);
b = XYZ(uv2.u, -uv2.v, 0.0f);
c = XYZ(uv3.u, -uv3.v, 0.0f);

//Find the barycentric coordinates for O, U, and V in UV space.

//Barycentric coordinates are not clamped between 1 and -1.

//That said, if the triangle area is nearly zero,
//XYZ(1.0f, 0.0f, 0.0f) is returned.

bcO = GetBaryCoords(a, b, c, XYZ(0.0f, 0.0f, 0.0f));
bcU = GetBaryCoords(a, b, c, XYZ(1.0f, 0.0f, 0.0f));
bcV = GetBaryCoords(a, b, c, XYZ(0.0f, 1.0f, 0.0f));

//Convert O, U, V to world space.

O = bcO.x * pos1 + bcO.y * pos2 + bcO.z * pos3;
U = (bcU.x * pos1 + bcU.y * pos2 + bcU.z * pos3) - O;
V = (bcV.x * pos1 + bcV.y * pos2 + bcV.z * pos3) - O;

//Find the scale of U and V.

scale.u = texwidth / U.Mag();
scale.v = texheight / V.Mag();