Vector* MarkovSolverBase::linearInterpolate() const
{
double x;
if ( rateTable_->areAllRatesVoltageDep() )
x = Vm_;
else
x = ligandConc_;
if ( x < xMin_ )
return vecMatMul( &state_, expMats1d_[0] );
else if ( x > xMax_ )
return vecMatMul( &state_, expMats1d_.back() );
unsigned int xIndex = static_cast< unsigned int >( ( x - xMin_) * invDx_ );
double xv = ( x - xMin_ ) * invDx_;
double xF = xv - xIndex;
vector< Matrix* >::const_iterator iExpQ =
expMats1d_.begin() + xIndex;
Vector *state0, *state1, *result;
state0 = vecMatMul( &state_, *iExpQ );
state1 = vecMatMul( &state_, *( iExpQ + 1 ) );
result = vecVecScalAdd( state0, state1, 1 - xF, xF );
delete state0;
delete state1;
return result;
}
void rotateY( my_vector4 &xyz,
double angle )
{
my_matrix4 U(0);
U.setElem(0, 0, cos(angle));
U.setElem(0, 2, sin(angle));
U.setElem(2, 0, -sin(angle));
U.setElem(2, 2, cos(angle));
vecMatMul(xyz, U);
}
Vector* MarkovSolverBase::bilinearInterpolate( ) const
{
bool isEndOfX, isEndOfY;
unsigned int xIndex =
static_cast< unsigned int >( ( Vm_ - xMin_ ) * invDx_ );
unsigned int yIndex =
static_cast< unsigned int >( ( ligandConc_ - yMin_ ) * invDy_ );
double xv = (Vm_ - xMin_) * invDx_;
double yv = (ligandConc_ - yMin_) * invDy_;
double xF = xv - xIndex;
double yF = yv - yIndex;
double xFyF = xF * yF;
( xIndex == xDivs_ ) ? isEndOfX = true : isEndOfX = false;
( yIndex == yDivs_ ) ? isEndOfY = true : isEndOfY = false;
vector< vector< Matrix* > >::const_iterator iExpQ0 =
expMats2d_.begin() + xIndex;
vector< Matrix* >::const_iterator iExpQ00 = iExpQ0->begin() + yIndex;
vector< Matrix* >::const_iterator iExpQ10;
Matrix* expQ00 = *iExpQ00;
Matrix* expQ01;
Matrix* expQ10;
Matrix* expQ11;
Vector *state00, *state01, *state10, *state11, *result;
state00 = vecMatMul( &state_, expQ00 );
if ( isEndOfX )
{
if ( isEndOfY )
return state00;
else
{
expQ01 = *(iExpQ00 + 1);
state01 = vecMatMul( &state_, expQ01 );
result = vecVecScalAdd( state00, state01,
(1 - yF), yF );
}
}
else
{
iExpQ10 = ( iExpQ0 + 1 )->begin() + yIndex;
expQ10 = *iExpQ10;
state10 = vecMatMul( &state_, expQ10 );
if ( isEndOfY )
{
result = vecVecScalAdd( state00, state10,
( 1 - xF ), xF );
}
else
{
expQ01 = *( iExpQ00 + 1 );
expQ11 = *( iExpQ10 + 1 );
state01 = vecMatMul( &state_, expQ01 );
state11 = vecMatMul( &state_, expQ11 );
Vector *temp1, *temp2;
temp1 = vecVecScalAdd( state00, state10,
( 1 - xF - yF + xFyF ),
( xF - xFyF )
);
temp2 = vecVecScalAdd( state01, state11, ( yF - xFyF ), xFyF );
result = vecVecScalAdd( temp1, temp2, 1.0, 1.0 );
delete temp1;
delete temp2;
}
}
if ( state00 )
delete state00;
if ( state01 )
delete state01;
if ( state10 )
delete state10;
if ( state11)
delete state11;
return result;
}