/* -*- mia-c++  -*-
 *
 * This file is part of MIA - a toolbox for medical image analysis 
 * Copyright (c) Leipzig, Madrid 1999-2016 Gert Wollny
 *
 * MIA is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with MIA; if not, see <http://www.gnu.org/licenses/>.
 *
 */

#include <iostream>
#include <cmath>

#include <mia/3d/critical_point.hh>

NS_MIA_BEGIN
using namespace std; 

C3DCriticalPoint::C3DCriticalPoint(float x,float y, float z):
	gamma(0),x0(x,y,z)
{
}

C3DCriticalPoint::C3DCriticalPoint():
	gamma(0),x0(0,0,0)
{
}

C3DCriticalPoint::C3DCriticalPoint(const C3DFVector& _x0):
	gamma(0),x0(_x0)
{
}

C3DCriticalPoint::C3DCriticalPoint(const C3DCriticalPoint& org):
	gamma(org.gamma),x0(org.x0),A(org.A)
{
}

C3DCriticalPoint&  C3DCriticalPoint::operator = (const C3DCriticalPoint& org)
{
	if (this == &org) {
		return *this;
	}
	gamma = org.gamma;
	x0 = org.x0;
	A = org.A;
	return *this;
}

C3DFVector C3DCriticalPoint::at(const C3DFVector& x)const
{
	C3DFVector delta = x - x0;
	float tmp = delta.norm2(); 
	if (tmp > .0001) {
		return (gamma / tmp) * (A * delta);
	}else{
		//in the eye of the hurrican there is silence
		return C3DFVector(); 
	}
}

C3DFVector C3DCriticalPoint::at_alt(const C3DFVector& x) const
{
	C3DFVector delta = x - x0;
	float tmp = std::fabs(delta.norm() - gamma);
	return (A * delta) / float( tmp + 1.0);
}

C3DCriticalPointEigen::C3DCriticalPointEigen(C3DCriticalPoint cp):
	location(cp.get_point()),
	portrait(cp.get_a())
{
	estimate();
}

C3DCriticalPointEigen::C3DCriticalPointEigen(const C3DFVector& l, const C3DFMatrix& m):
	location(l),
	portrait(m)
{
	if (!estimate())
		throw range_error("cp-ev estimate failed");
}

C3DCriticalPointEigen::C3DCriticalPointEigen(const C3DFVector& _location,
					 const C3DFMatrix& _portrait,
					 float _eval1,float _eval2,float _eval3,
					 const C3DFVector& _evec1,const C3DFVector& _evec2, const C3DFVector& _evec3,
					 EVType _type):
	location(_location),
	portrait(_portrait),
	eval1(_eval1),
	eval2(_eval2),
	eval3(_eval3),
	evec1(_evec1),
	evec2(_evec2), 
	evec3(_evec3),
	type(_type)
{
}


bool C3DCriticalPointEigen::estimate()
{
	C3DFVector eval;

	int rank = portrait.get_rank();
	if (rank == 0) {
		type = ev_zero; 
		return true; 
	}

	int evcalres = portrait.get_eigenvalues(eval);

	
	if (evcalres == 1 && std::fabs(eval.z) < std::fabs(eval.y) * 0.001) {
		// treat a small complex solution as a real one with two equal evs
		evcalres = 2; 
		eval.z = eval.y; 
	}
	eval1 = eval.x; 
	eval2 = eval.y; 
	eval3 = eval.z;

	
	switch (evcalres) {
	case 3: // three distinct real eigenvalues 
		if (rank != 3) {
			cerr << "ERROR: 3 distinct eigenvalues but rank not 3!" << endl; 
			return false; 
		}
		evec1 = portrait.get_complex_eigenvector(0); 
		evec2 = portrait.get_complex_eigenvector(1); 
		evec3 = portrait.get_complex_eigenvector(2); 
		type = ev_real; 
		return true; 
		
	case 1: // one real and two complex eigenvalues
		{
			if (rank != 3) {
				cerr << "ERROR: 3 distinct eigenvalues but rank not 3!" << endl; 
				return false; 
			}
			evec1 = portrait.get_complex_eigenvector(0); 
			evec2 = portrait.get_complex_eigenvector(1); 
			evec3 = portrait.get_complex_eigenvector(2); 
			
			type = ev_complex; 
			return true; 
		}
	case 2:// three ev's but at least two are equal
		evec1 = portrait.get_complex_eigenvector(0); 
		evec2 = portrait.get_complex_eigenvector(1); 
		evec3 = portrait.get_complex_eigenvector(2); 
		type = ev_real_two_equal;
		return true;
	case 4:// three real ev's all are equal
		evec1 = portrait.get_complex_eigenvector(0); 
		evec2 = portrait.get_complex_eigenvector(1); 
		evec3 = portrait.get_complex_eigenvector(2); 
		type = ev_real_three_equal;
		return true;

		
	default: 
		evec1 = portrait.get_complex_eigenvector(0); 
		return false;
		
	}
	return true;
}

NS_MIA_END
