From 15740faf9fe9fe4be08965098bbf2947e096aeeb Mon Sep 17 00:00:00 2001
From: chai <chaifix@163.com>
Date: Wed, 14 Aug 2019 22:50:43 +0800
Subject: +Unity Runtime code

---
 Runtime/Geometry/TangentSpaceCalculation.cpp | 534 +++++++++++++++++++++++++++
 1 file changed, 534 insertions(+)
 create mode 100644 Runtime/Geometry/TangentSpaceCalculation.cpp

(limited to 'Runtime/Geometry/TangentSpaceCalculation.cpp')

diff --git a/Runtime/Geometry/TangentSpaceCalculation.cpp b/Runtime/Geometry/TangentSpaceCalculation.cpp
new file mode 100644
index 0000000..f7b17f1
--- /dev/null
+++ b/Runtime/Geometry/TangentSpaceCalculation.cpp
@@ -0,0 +1,534 @@
+#include "UnityPrefix.h"
+#include "TangentSpaceCalculation.h"
+#include "Runtime/Math/Matrix3x3.h"
+#include "Runtime/Math/Vector2.h"
+#include "Plane.h"
+#include <vector>
+
+using std::vector;
+/*
+void CreateTangentSpaceTangents(const Vector3f* vertex, const Vector2f* texcoord, const Vector3f* normals, Matrix3x3f* avgOrthonormalBases, int vertexCount, const UInt16* indices, int triangleCount)
+{
+   Vector3f *tan1 = new Vector3f[vertexCount * 2];
+   Vector3f *tan2 = tan1 + vertexCount;
+   memset(tan1, 0, vertexCount * sizeof(Vector3f) * 2);
+
+   for (int a = 0; a < triangleCount; a++)
+   {
+      int i1 = indices[0];
+      int i2 = indices[1];
+      int i3 = indices[2];
+
+      const Vector3f& v1 = vertex[i1];
+      const Vector3f& v2 = vertex[i2];
+      const Vector3f& v3 = vertex[i3];
+
+      const Vector2f& w1 = texcoord[i1];
+      const Vector2f& w2 = texcoord[i2];
+      const Vector2f& w3 = texcoord[i3];
+
+      float x1 = v2.x - v1.x;
+      float x2 = v3.x - v1.x;
+      float y1 = v2.y - v1.y;
+      float y2 = v3.y - v1.y;
+      float z1 = v2.z - v1.z;
+      float z2 = v3.z - v1.z;
+
+      float s1 = w2.x - w1.x;
+      float s2 = w3.x - w1.x;
+      float t1 = w2.y - w1.y;
+      float t2 = w3.y - w1.y;
+
+      float r = 1.0F / (s1 * t2 - s2 * t1);
+      Vector3f sdir((t2 * x1 - t1 * x2) * r, (t2 * y1 - t1 * y2) * r, (t2 * z1 - t1 * z2) * r);
+      Vector3f tdir((s1 * x2 - s2 * x1) * r, (s1 * y2 - s2 * y1) * r, (s1 * z2 - s2 * z1) * r);
+
+      tan1[i1] += sdir;
+      tan1[i2] += sdir;
+      tan1[i3] += sdir;
+
+      tan2[i1] += tdir;
+      tan2[i2] += tdir;
+      tan2[i3] += tdir;
+
+      indices += 3;
+   }
+
+
+   for (long a = 0; a < vertexCount; a++)
+   {
+      Vector3f normal = normals[a];
+      Vector3f tangent = tan1[a];
+
+      
+      // Gram-Schmidt orthogonalize
+      (tangent - normal * (normal * tangent)));
+                
+      // Calculate handedness
+      //tangent[a].w = (normal % tangent * tan2[a] < 0.0F) ? -1.0F : 1.0F;
+     
+      avgOrthonormalBases[a].SetOrthoNormalBasis (tangent, Cross (normal, tangent), normal);
+   }
+
+   delete[] tan1;
+}*/
+
+/*
+void CreateTangentSpaceTangents (const Vector3f* pPositions, const Vector2f* tex, const Vector3f* normals, Matrix3x3f* avgOrthonormalBases, int vertexCount, const UInt16* indices, int faceCount)
+{
+	vector<Vector3f> 		sVector, tVector;
+	vector<Vector3f> 		avgS, avgT;
+	
+	avgS.resize (vertexCount);
+	avgT.resize (vertexCount);
+
+	sVector.reserve (faceCount * 3);
+	tVector.reserve (faceCount * 3);
+
+	// for each face, calculate its S,T & SxT vector, & store its edges
+	for (int f = 0; f < faceCount * 3; f += 3 )
+	{
+		Vector3f edge0;
+		Vector3f edge1;
+		Vector3f s;
+		Vector3f t;
+		
+		// create an edge out of x, s and t
+		edge0.x = pPositions[ indices[ f + 1 ] ].x - pPositions[ indices[ f ] ].x;
+		edge0.y = tex[ indices[ f + 1 ] ].x - tex[ indices[ f ] ].x;
+		edge0.z = tex[ indices[ f + 1 ] ].y - tex[ indices[ f ] ].y;
+
+		// create an edge out of x, s and t
+		edge1.x = pPositions[ indices[ f + 2 ] ].x - pPositions[ indices[ f ] ].x;
+		edge1.y = tex[ indices[ f + 2 ] ].x - tex[ indices[ f ] ].x;
+		edge1.z = tex[ indices[ f + 2 ] ].y - tex[ indices[ f ] ].y;
+
+		Vector3f sxt = Cross (edge0, edge1);
+
+		float a = sxt.x;
+		float b = sxt.y;
+		float c = sxt.z;
+
+		float ds_dx = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			ds_dx =  -b / a;
+
+		float dt_dx = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			dt_dx = -c / a;
+
+		// create an edge out of y, s and t
+		edge0.x = pPositions[ indices[ f + 1 ] ].y - pPositions[ indices[ f ] ].y;
+		// create an edge out of y, s and t
+		edge1.x = pPositions[ indices[ f + 2 ] ].y - pPositions[ indices[ f ] ].y;
+
+		sxt = Cross (edge0, edge1);
+
+		a = sxt.x;
+		b = sxt.y;
+		c = sxt.z;
+
+		float ds_dy = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			ds_dy = -b / a;
+	
+		float dt_dy = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			dt_dy = -c / a;
+	
+		// create an edge out of z, s and t
+		edge0.x = pPositions[ indices[ f + 1 ] ].z - pPositions[ indices[ f ] ].z;
+		// create an edge out of z, s and t
+		edge1.x = pPositions[ indices[ f + 2 ] ].z - pPositions[ indices[ f ] ].z;
+
+		sxt = Cross (edge0, edge1);
+
+		a = sxt.x;
+		b = sxt.y;
+		c = sxt.z;
+
+		float ds_dz = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			ds_dz = -b / a;
+
+		float dt_dz = 0.0F;
+		if ( Abs( a ) > Vector3f::epsilon )
+			dt_dz = -c / a;
+	
+		// generate coordinate frame from the gradients
+		s = Vector3f( ds_dx, ds_dy, ds_dz );
+		t = Vector3f( dt_dx, dt_dy, dt_dz );
+
+		s = NormalizeSafe (s);
+		t = NormalizeSafe (t);
+
+		// save vectors for this face
+		sVector.push_back( s );
+		tVector.push_back( t );
+	}
+
+
+	for ( int p = 0; p < vertexCount; p ++ )
+	{
+		avgS[p] = Vector3f::zero;
+		avgT[p] = Vector3f::zero;
+	}
+	
+	//  go through faces and add up the bases for each vertex 
+	for ( int face = 0; face < faceCount; ++face )
+	{
+		// sum bases, so we smooth the tangent space across edges
+		avgS[ indices[ face * 3 ] ] +=   sVector[ face ];
+		avgT[ indices[ face * 3 ] ] +=   tVector[ face ];
+
+		avgS[ indices[ face * 3 + 1 ] ] +=   sVector[ face ];
+		avgT[ indices[ face * 3 + 1 ] ] +=   tVector[ face ];
+
+		avgS[ indices[ face * 3 + 2 ] ] +=   sVector[ face ];
+		avgT[ indices[ face * 3 + 2 ] ] +=   tVector[ face ];
+	}
+
+	// now renormalize
+	for ( int p = 0; p < vertexCount; p ++ ) 
+	{
+		Vector3f normal = normals[p];
+
+		
+		//OrthoNormalize (&normal, &avgS[p], &avgT[p]);
+		
+		avgOrthonormalBases[p].SetOrthoNormalBasis (avgS[p], avgT[p], normal);
+	
+		#if DEBUGMODE
+		float det = avgOrthonormalBases[p].GetDeterminant ();
+		AssertIf (!CompareApproximately (det, 1.0F,0.001) && !CompareApproximately (det, -1.0F,0.001));
+		#endif
+//		AssertIf (!CompareApproximately (avgOrthonormalBases[p].MultiplyPoint3Transpose (Vector3f (0,0,1)), normal));
+	}
+}*/
+
+/*
+void CreateTangentSpaceTangents (const Vector3f* pPositions, const Vector2f* tex, const Vector3f* normals, Matrix3x3f* avgOrthonormalBases, int vertexCount, const UInt16* indices, int faceCount)
+{
+
+
+	Vector3f v0,v1,v2, tanu, tanv;
+
+	Vector3f p0,p1,p2;
+
+	Vector3f d1,d2;
+
+	float uv[3][2],det,u,v,l1,l2;
+
+	int i,j,k;
+	vector<Vector3f> 		sVector, tVector;
+	vector<Vector3f> 		avgS, avgT;
+	
+	avgS.resize (vertexCount);
+	avgT.resize (vertexCount);
+
+	sVector.reserve (faceCount * 3);
+	tVector.reserve (faceCount * 3);
+
+	for( i=0;i<vertexCount;i++ )
+
+	{
+
+		sVector[i]=Vector3f(0.0, 0.0, 0.0);
+
+		tVector[i]=Vector3f(0.0, 0.0, 0.0);
+
+	}
+
+	k=0;
+	for( i=0;i<faceCount;i++,k+=3 )
+
+	{
+
+		v0=*((Vector3f *)&pPositions[indices[k]]);
+
+		v1=*((Vector3f *)&pPositions[indices[k+1]])-v0;
+
+		v2=*((Vector3f *)&pPositions[indices[k+2]])-v0;
+
+		uv[0][0]=-tex[indices[k]].x;
+
+		uv[0][1]=tex[indices[k]].y;
+
+		uv[1][0]=-tex[indices[k+1]].x-uv[0][0];
+
+		uv[1][1]=tex[indices[k+1]].y-uv[0][1];
+
+		uv[2][0]=-tex[indices[k+2]].x-uv[0][0];
+
+		uv[2][1]=tex[indices[k+2]].y-uv[0][1];
+
+		det=(uv[1][0]*uv[2][1])-(uv[2][0]*uv[1][1]);
+
+
+		
+		if (fabsf(det)<0.000000001f){ 		
+				continue;
+		}
+
+		u=0; v=0;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p0=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+		
+
+		u=1; v=0;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p1=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+
+
+		u=0; v=1;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p2=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+
+
+		d1=p2-p0;
+
+		d2=p1-p0;
+
+		l1=Magnitude(d1);
+
+		l2=Magnitude(d2);
+
+		d1*=1.0f/l1;
+
+		d2*=1.0f/l2;
+
+
+
+		j=indices[k];
+
+		sVector[j].x+=d1.x;	sVector[j].y+=d1.y;	sVector[j].z+=d1.z;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+
+
+		j=indices[k+1];
+
+		sVector[j].x+=d1.x;	sVector[j].y+=d1.y;	sVector[j].z+=d1.z;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+
+
+		j=indices[k+2];
+
+		sVector[j].x+=d1.x;	sVector[j].y+=d1.y;	sVector[j].z+=d1.z;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+	}
+
+
+
+	for( i=0;i<vertexCount;i++ )
+
+	{
+
+		//v0.vec(vert[i].tanu[0],vert[i].tanu[1],vert[i].tanu[2]);
+		v0 = Vector3f(sVector[i].x,sVector[i].y,sVector[i].z);
+		//v0.normalize();
+		v0 = NormalizeRobust(v0);
+		
+		//v1.vec(vert[i].tanv[0],vert[i].tanv[1],vert[i].tanv[2]);
+		v1 = Vector3f(tVector[i].x,tVector[i].y,tVector[i].z);
+		//v1 = NormalizeRobust(v1);
+
+		Vector3f n(normals[i].x,normals[i].y,normals[i].z);
+		
+		if (SqrMagnitude(v1)<0.0001f)
+		{
+			v1 = Cross(n,v0);
+		}
+
+		v1 = NormalizeRobust(v1);
+
+
+		sVector[i].x=v0.x;
+
+		sVector[i].y=v0.y;
+
+		sVector[i].z=v0.z;
+
+		tVector[i].x=v1.x;
+
+		tVector[i].y=v1.y;
+
+		tVector[i].z=v1.z;
+
+		avgOrthonormalBases[i].SetOrthoNormalBasis (tVector[i], sVector[i], n);
+	}
+
+}*/
+
+void CreateTangentSpaceTangents (const Vector3f* pPositions, const Vector2f* tex, const Vector3f* normals, Matrix3x3f* avgOrthonormalBases, int vertexCount, const int* indices, int faceCount)
+{
+	
+
+	Vector3f v0,v1,v2, tanu, tanv;
+
+	Vector3f p0,p1,p2;
+
+	Vector3f d1,d2;
+
+	float uv[3][2],det,u,v,l1,l2;
+
+	int i,j,k;
+	vector<Vector3f> 		sVector, tVector;
+	vector<Vector3f> 		avgS, avgT;
+	
+	avgS.resize (vertexCount);
+	avgT.resize (vertexCount);
+
+	sVector.reserve (faceCount * 3);
+	tVector.reserve (faceCount * 3);
+
+	for( i=0;i<vertexCount;i++ )
+
+	{
+
+		sVector[i]=Vector3f(0.0, 0.0, 0.0);
+
+		tVector[i]=Vector3f(0.0, 0.0, 0.0);
+
+	}
+
+	k=0;
+	for( i=0;i<faceCount;i++,k+=3 )
+
+	{
+
+		v0=*((Vector3f *)&pPositions[indices[k]]);
+
+		v1=*((Vector3f *)&pPositions[indices[k+1]])-v0;
+
+		v2=*((Vector3f *)&pPositions[indices[k+2]])-v0;
+
+		uv[0][0]=tex[indices[k]].x;
+
+		uv[0][1]=tex[indices[k]].y;
+
+		uv[1][0]=tex[indices[k+1]].x-uv[0][0];
+
+		uv[1][1]=tex[indices[k+1]].y-uv[0][1];
+
+		uv[2][0]=tex[indices[k+2]].x-uv[0][0];
+
+		uv[2][1]=tex[indices[k+2]].y-uv[0][1];
+
+		det=(uv[1][0]*uv[2][1])-(uv[2][0]*uv[1][1]);
+
+
+		
+		if (fabsf(det)<0.000001f){ 
+			continue;
+		}
+
+		u=0; v=0;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p0=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+		
+
+		u=1; v=0;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p1=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+
+
+		u=0; v=1;
+
+		u-=uv[0][0]; v-=uv[0][1];
+
+		p2=v0+v1*((u*uv[2][1]-uv[2][0]*v)/det)+v2*((uv[1][0]*v-u*uv[1][1])/det);
+
+
+
+		d1=p2-p0;
+
+		d2=p1-p0;
+
+		l1=Magnitude(d1);
+
+		l2=Magnitude(d2);
+
+		d1*=1.0f/l1;
+
+		d2*=1.0f/l2;
+
+
+
+		j=indices[k];
+
+		sVector[j] += d1;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+
+
+		j=indices[k+1];
+
+		sVector[j].x+=d1.x;	sVector[j].y+=d1.y;	sVector[j].z+=d1.z;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+
+
+		j=indices[k+2];
+
+		sVector[j].x+=d1.x;	sVector[j].y+=d1.y;	sVector[j].z+=d1.z;
+
+		tVector[j].x+=d2.x;	tVector[j].y+=d2.y;	tVector[j].z+=d2.z;
+
+	}
+
+
+
+	for( i=0;i<vertexCount;i++ )
+
+	{
+
+		v0 = Vector3f(sVector[i].x,sVector[i].y,sVector[i].z);	
+		v0 = NormalizeRobust(v0);
+		
+		v1 = Vector3f(tVector[i].x,tVector[i].y,tVector[i].z);
+
+		Vector3f n(normals[i].x,normals[i].y,normals[i].z);
+		
+		if (SqrMagnitude(v1)<0.0001f)
+		{
+			v1 = Cross(v0,n);
+		}	
+		v1 = NormalizeRobust(v1);
+			
+	
+		sVector[i]=v0;
+
+		tVector[i].x=v1.x;
+
+		tVector[i].y=v1.y;
+
+		tVector[i].z=v1.z;
+
+		avgOrthonormalBases[i].SetOrthoNormalBasis (tVector[i], sVector[i], n);
+	}
+
+}
+
-- 
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