Smoke: test commit of PCG

intern/smoke/intern/FLUID_3D.cpp

@@ -96,6 +96,8 @@ FLUID_3D::FLUID_3D(int *res, int amplify, float *p0, float dt) :
 	_xVorticity   = new float[_totalCells];
 	_yVorticity   = new float[_totalCells];
 	_zVorticity   = new float[_totalCells];
+	_h			  = new float[_totalCells];
+	_Precond	  = new float[_totalCells];
 
 	for (int x = 0; x < _totalCells; x++)
 	{
@@ -118,6 +120,8 @@ FLUID_3D::FLUID_3D(int *res, int amplify, float *p0, float dt) :
 		_yVorticity[x]   = 0.0f;
 		_zVorticity[x]   = 0.0f;
 		_residual[x]     = 0.0f;
+		_h[x]			 = 0.0f;
+		_Precond[x]		 = 0.0f;
 		_obstacles[x]    = false;
 	}
 
@@ -189,6 +193,8 @@ FLUID_3D::~FLUID_3D()
 	if (_yVorticity) delete[] _yVorticity;
 	if (_zVorticity) delete[] _zVorticity;
 	if (_vorticity) delete[] _vorticity;
+	if (_h) delete[] _h;
+	if (_Precond) delete[] _Precond;
 	if (_obstacles) delete[] _obstacles;
     if (_wTurbulence) delete _wTurbulence;
 
@@ -414,7 +420,7 @@ void FLUID_3D::project()
 	copyBorderAll(_pressure);
 
 	// solve Poisson equation
-	solvePressure(_pressure, _divergence, _obstacles);
+	solvePressurePre(_pressure, _divergence, _obstacles);
 
 	setObstaclePressure();
 

intern/smoke/intern/FLUID_3D.h

@@ -96,6 +96,8 @@ class FLUID_3D
 		float* _yVorticity;
 		float* _zVorticity;
 		float* _vorticity;
+		float* _h;
+		float* _Precond;
 		unsigned char*  _obstacles;
 
 		// CG fields
@@ -128,6 +130,7 @@ class FLUID_3D
 		void project();
 		void diffuseHeat();
 		void solvePressure(float* field, float* b, unsigned char* skip);
+		void solvePressurePre(float* field, float* b, unsigned char* skip);
 		void solveHeat(float* field, float* b, unsigned char* skip);
 
 		// handle obstacle boundaries

intern/smoke/intern/FLUID_3D_SOLVERS.cpp

@@ -21,8 +21,171 @@
 //////////////////////////////////////////////////////////////////////
 
 #include "FLUID_3D.h"
+
 #define SOLVER_ACCURACY 1e-06
 
+void FLUID_3D::solvePressurePre(float* field, float* b, unsigned char* skip)
+{
+	int x, y, z, index;
+
+	// i = 0
+	int i = 0;
+
+	// r = b - Ax
+	index = _slabSize + _xRes + 1;
+	for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+		for (y = 1; y < _yRes - 1; y++, index += 2)
+		  for (x = 1; x < _xRes - 1; x++, index++)
+		  {
+			// if the cell is a variable
+			float Acenter = 0.0f;
+			if (!skip[index])
+			{
+			  // set the matrix to the Poisson stencil in order
+			  if (!skip[index + 1]) Acenter += 1.;
+			  if (!skip[index - 1]) Acenter += 1.;
+			  if (!skip[index + _xRes]) Acenter += 1.;
+			  if (!skip[index - _xRes]) Acenter += 1.;
+			  if (!skip[index + _slabSize]) Acenter += 1.;
+			  if (!skip[index - _slabSize]) Acenter += 1.;
+			}
+		    
+			_residual[index] = b[index] - (Acenter * field[index] +  
+			  field[index - 1] * (skip[index - 1] ? 0.0 : -1.0f)+ 
+			  field[index + 1] * (skip[index + 1] ? 0.0 : -1.0f)+
+			  field[index - _xRes] * (skip[index - _xRes] ? 0.0 : -1.0f)+ 
+			  field[index + _xRes] * (skip[index + _xRes] ? 0.0 : -1.0f)+
+			  field[index - _slabSize] * (skip[index - _slabSize] ? 0.0 : -1.0f)+ 
+			  field[index + _slabSize] * (skip[index + _slabSize] ? 0.0 : -1.0f) );
+			_residual[index] = (skip[index]) ? 0.0f : _residual[index];
+
+			// P^-1
+			if(Acenter < 1.0)
+				_Precond[index] = 0.0;
+			else
+				_Precond[index] = 1.0 / Acenter;
+
+			// p = P^-1 * r
+			_direction[index] = _residual[index] * _Precond[index];
+		  }
+
+	// deltaNew = transpose(r) * p
+	float deltaNew = 0.0f;
+	index = _slabSize + _xRes + 1;
+	for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+		for (y = 1; y < _yRes - 1; y++, index += 2)
+		  for (x = 1; x < _xRes - 1; x++, index++)
+			deltaNew += _residual[index] * _direction[index];
+
+	// delta0 = deltaNew
+	float delta0 = deltaNew;
+
+  // While deltaNew > (eps^2) * delta0
+  const float eps  = SOLVER_ACCURACY;
+  //while ((i < _iterations) && (deltaNew > eps*delta0))
+  float maxR = 2.0f * eps;
+  // while (i < _iterations)
+  while ((i < _iterations) && (maxR > eps))
+  {
+    // (s) q = Ad (p)
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+        {
+          // if the cell is a variable
+          float Acenter = 0.0f;
+          if (!skip[index])
+          {
+            // set the matrix to the Poisson stencil in order
+            if (!skip[index + 1]) Acenter += 1.;
+            if (!skip[index - 1]) Acenter += 1.;
+            if (!skip[index + _xRes]) Acenter += 1.;
+            if (!skip[index - _xRes]) Acenter += 1.;
+            if (!skip[index + _slabSize]) Acenter += 1.;
+            if (!skip[index - _slabSize]) Acenter += 1.;
+          }
+          
+          _q[index] = Acenter * _direction[index] +  
+            _direction[index - 1] * (skip[index - 1] ? 0.0 : -1.0f) + 
+            _direction[index + 1] * (skip[index + 1] ? 0.0 : -1.0f) +
+            _direction[index - _xRes] * (skip[index - _xRes] ? 0.0 : -1.0f) + 
+            _direction[index + _xRes] * (skip[index + _xRes] ? 0.0 : -1.0f)+
+            _direction[index - _slabSize] * (skip[index - _slabSize] ? 0.0 : -1.0f) + 
+            _direction[index + _slabSize] * (skip[index + _slabSize] ? 0.0 : -1.0f);
+          _q[index] = (skip[index]) ? 0.0f : _q[index];
+        }
+
+    // alpha = deltaNew / (transpose(d) * q)
+    float alpha = 0.0f;
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+          alpha += _direction[index] * _q[index];
+    if (fabs(alpha) > 0.0f)
+      alpha = deltaNew / alpha;
+
+    // x = x + alpha * d
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+          field[index] += alpha * _direction[index];
+
+    // r = r - alpha * q
+	maxR = 0.0;
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+        {
+          _residual[index] -= alpha * _q[index];
+		  // maxR = (_residual[index] > maxR) ? _residual[index] : maxR;
+        }
+
+	// if(maxR <= eps)
+	// 	break;
+
+	// h = P^-1 * r
+	 index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+		{
+			_h[index] = _Precond[index] * _residual[index];
+		}
+
+    // deltaOld = deltaNew
+    float deltaOld = deltaNew;
+
+    // deltaNew = transpose(r) * h
+    deltaNew = 0.0f;
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+		{
+          deltaNew += _residual[index] * _h[index];
+		  maxR = (_residual[index]* _h[index] > maxR) ? _residual[index]* _h[index] : maxR;
+		}
+
+    // beta = deltaNew / deltaOld
+    float beta = deltaNew / deltaOld;
+
+    // d = h + beta * d
+    index = _slabSize + _xRes + 1;
+    for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
+      for (y = 1; y < _yRes - 1; y++, index += 2)
+        for (x = 1; x < _xRes - 1; x++, index++)
+          _direction[index] = _h[index] + beta * _direction[index];
+
+    // i = i + 1
+    i++;
+  }
+  cout << i << " iterations converged to " << maxR << endl;
+}
+
 //////////////////////////////////////////////////////////////////////
 // solve the poisson equation with CG
 //////////////////////////////////////////////////////////////////////
@@ -62,6 +225,7 @@ void FLUID_3D::solvePressure(float* field, float* b, unsigned char* skip)
         _residual[index] = (skip[index]) ? 0.0f : _residual[index];
       }
 	
+
   // d = r
   index = _slabSize + _xRes + 1;
   for (z = 1; z < _zRes - 1; z++, index += 2 * _xRes)
@@ -314,6 +478,6 @@ void FLUID_3D::solveHeat(float* field, float* b, unsigned char* skip)
     // i = i + 1
     i++;
   }
-  cout << i << " iterations converged to " << maxR << endl;
+  // cout << i << " iterations converged to " << maxR << endl;
 }