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Copy pathDirectXMeshTangentFrame.cpp
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300 lines (248 loc) · 9.93 KB
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//-------------------------------------------------------------------------------------
// DirectXMeshTangentFrame.cpp
//
// DirectX Mesh Geometry Library - Normals, Tangents, and Bi-Tangents Computation
//
// Copyright (c) Microsoft Corporation. All rights reserved.
// Licensed under the MIT License.
//
// http://go.microsoft.com/fwlink/?LinkID=324981
//-------------------------------------------------------------------------------------
#include "DirectXMeshP.h"
using namespace DirectX;
namespace
{
//---------------------------------------------------------------------------------
// Compute tangent and bi-tangent for each vertex
//---------------------------------------------------------------------------------
template<class index_t>
HRESULT ComputeTangentFrameImpl(
_In_reads_(nFaces * 3) const index_t* indices, size_t nFaces,
_In_reads_(nVerts) const XMFLOAT3* positions,
_In_reads_(nVerts) const XMFLOAT3* normals,
_In_reads_(nVerts) const XMFLOAT2* texcoords,
size_t nVerts,
_Out_writes_opt_(nVerts) XMFLOAT3* tangents3,
_Out_writes_opt_(nVerts) XMFLOAT4* tangents4,
_Out_writes_opt_(nVerts) XMFLOAT3* bitangents) noexcept
{
if (!indices || !nFaces || !positions || !normals || !texcoords || !nVerts)
return E_INVALIDARG;
if (nVerts >= index_t(-1))
return E_INVALIDARG;
if ((uint64_t(nFaces) * 3) >= UINT32_MAX)
return HRESULT_FROM_WIN32(ERROR_ARITHMETIC_OVERFLOW);
static const float EPSILON = 0.0001f;
static const XMVECTORF32 s_flips = { { { 1.f, -1.f, -1.f, 1.f } } };
ScopedAlignedArrayXMVECTOR temp(static_cast<XMVECTOR*>(_aligned_malloc(sizeof(XMVECTOR) * nVerts * 2, 16)));
if (!temp)
return E_OUTOFMEMORY;
memset(temp.get(), 0, sizeof(XMVECTOR) * nVerts * 2);
XMVECTOR* tangent1 = temp.get();
XMVECTOR* tangent2 = temp.get() + nVerts;
for (size_t face = 0; face < nFaces; ++face)
{
index_t i0 = indices[face * 3];
index_t i1 = indices[face * 3 + 1];
index_t i2 = indices[face * 3 + 2];
if (i0 == index_t(-1)
|| i1 == index_t(-1)
|| i2 == index_t(-1))
continue;
if (i0 >= nVerts
|| i1 >= nVerts
|| i2 >= nVerts)
return E_UNEXPECTED;
XMVECTOR t0 = XMLoadFloat2(&texcoords[i0]);
XMVECTOR t1 = XMLoadFloat2(&texcoords[i1]);
XMVECTOR t2 = XMLoadFloat2(&texcoords[i2]);
XMVECTOR s = XMVectorMergeXY(XMVectorSubtract(t1, t0), XMVectorSubtract(t2, t0));
XMFLOAT4A tmp;
XMStoreFloat4A(&tmp, s);
float d = tmp.x * tmp.w - tmp.z * tmp.y;
d = (fabsf(d) <= EPSILON) ? 1.f : (1.f / d);
s = XMVectorScale(s, d);
s = XMVectorMultiply(s, s_flips);
XMMATRIX m0;
m0.r[0] = XMVectorPermute<3, 2, 6, 7>(s, g_XMZero);
m0.r[1] = XMVectorPermute<1, 0, 4, 5>(s, g_XMZero);
m0.r[2] = m0.r[3] = g_XMZero;
XMVECTOR p0 = XMLoadFloat3(&positions[i0]);
XMVECTOR p1 = XMLoadFloat3(&positions[i1]);
XMVECTOR p2 = XMLoadFloat3(&positions[i2]);
XMMATRIX m1;
m1.r[0] = XMVectorSubtract(p1, p0);
m1.r[1] = XMVectorSubtract(p2, p0);
m1.r[2] = m1.r[3] = g_XMZero;
XMMATRIX uv = XMMatrixMultiply(m0, m1);
tangent1[i0] = XMVectorAdd(tangent1[i0], uv.r[0]);
tangent1[i1] = XMVectorAdd(tangent1[i1], uv.r[0]);
tangent1[i2] = XMVectorAdd(tangent1[i2], uv.r[0]);
tangent2[i0] = XMVectorAdd(tangent2[i0], uv.r[1]);
tangent2[i1] = XMVectorAdd(tangent2[i1], uv.r[1]);
tangent2[i2] = XMVectorAdd(tangent2[i2], uv.r[1]);
}
for (size_t j = 0; j < nVerts; ++j)
{
// Gram-Schmidt orthonormalization
XMVECTOR b0 = XMLoadFloat3(&normals[j]);
b0 = XMVector3Normalize(b0);
XMVECTOR tan1 = tangent1[j];
XMVECTOR b1 = XMVectorSubtract(tan1, XMVectorMultiply(XMVector3Dot(b0, tan1), b0));
b1 = XMVector3Normalize(b1);
XMVECTOR tan2 = tangent2[j];
XMVECTOR b2 = XMVectorSubtract(XMVectorSubtract(tan2, XMVectorMultiply(XMVector3Dot(b0, tan2), b0)), XMVectorMultiply(XMVector3Dot(b1, tan2), b1));
b2 = XMVector3Normalize(b2);
// handle degenerate vectors
float len1 = XMVectorGetX(XMVector3Length(b1));
float len2 = XMVectorGetY(XMVector3Length(b2));
if ((len1 <= EPSILON) || (len2 <= EPSILON))
{
if (len1 > 0.5f)
{
// Reset bi-tangent from tangent and normal
b2 = XMVector3Cross(b0, b1);
}
else if (len2 > 0.5f)
{
// Reset tangent from bi-tangent and normal
b1 = XMVector3Cross(b2, b0);
}
else
{
// Reset both tangent and bi-tangent from normal
XMVECTOR axis;
float d0 = fabs(XMVectorGetX(XMVector3Dot(g_XMIdentityR0, b0)));
float d1 = fabs(XMVectorGetX(XMVector3Dot(g_XMIdentityR1, b0)));
float d2 = fabs(XMVectorGetX(XMVector3Dot(g_XMIdentityR2, b0)));
if (d0 < d1)
{
axis = (d0 < d2) ? g_XMIdentityR0 : g_XMIdentityR2;
}
else if (d1 < d2)
{
axis = g_XMIdentityR1;
}
else
{
axis = g_XMIdentityR2;
}
b1 = XMVector3Cross(b0, axis);
b2 = XMVector3Cross(b0, b1);
}
}
if (tangents3)
{
XMStoreFloat3(&tangents3[j], b1);
}
if (tangents4)
{
XMVECTOR bi = XMVector3Cross(b0, tan1);
float w = XMVector3Less(XMVector3Dot(bi, tan2), g_XMZero) ? -1.f : 1.f;
bi = XMVectorSetW(b1, w);
XMStoreFloat4(&tangents4[j], bi);
}
if (bitangents)
{
XMStoreFloat3(&bitangents[j], b2);
}
}
return S_OK;
}
}
//=====================================================================================
// Entry-points
//=====================================================================================
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint16_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals,
const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT3* tangents,
XMFLOAT3* bitangents) noexcept
{
if (!tangents && !bitangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint16_t>(indices, nFaces, positions, normals, texcoords, nVerts, tangents, nullptr, bitangents);
}
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint32_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals, const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT3* tangents,
XMFLOAT3* bitangents) noexcept
{
if (!tangents && !bitangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint32_t>(indices, nFaces, positions, normals, texcoords, nVerts, tangents, nullptr, bitangents);
}
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint16_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals,
const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT4* tangents,
XMFLOAT3* bitangents) noexcept
{
if (!tangents && !bitangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint16_t>(indices, nFaces, positions, normals, texcoords, nVerts, nullptr, tangents, bitangents);
}
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint32_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals,
const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT4* tangents,
XMFLOAT3* bitangents) noexcept
{
if (!tangents && !bitangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint32_t>(indices, nFaces, positions, normals, texcoords, nVerts, nullptr, tangents, bitangents);
}
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint16_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals,
const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT4* tangents) noexcept
{
if (!tangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint16_t>(indices, nFaces, positions, normals, texcoords, nVerts, nullptr, tangents, nullptr);
}
//-------------------------------------------------------------------------------------
_Use_decl_annotations_
HRESULT DirectX::ComputeTangentFrame(
const uint32_t* indices,
size_t nFaces,
const XMFLOAT3* positions,
const XMFLOAT3* normals,
const XMFLOAT2* texcoords,
size_t nVerts,
XMFLOAT4* tangents) noexcept
{
if (!tangents)
return E_INVALIDARG;
return ComputeTangentFrameImpl<uint32_t>(indices, nFaces, positions, normals, texcoords, nVerts, nullptr, tangents, nullptr);
}
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