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/**
* $Id$
* ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
*
* This program 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 2
* of the License, or (at your option) any later version. The Blender
* Foundation also sells licenses for use in proprietary software under
* the Blender License. See http://www.blender.org/BL/ for information
* about this.
*
* 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 this program; if not, write to the Free Software Foundation,
* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): none yet.
*
* ***** END GPL/BL DUAL LICENSE BLOCK *****
*/
#ifndef NAN_INCLUDED_LOD_Quadric_h
#define NAN_INCLUDED_LOD_Quadric_h
#include "MT_Vector3.h"
#include "MT_Matrix3x3.h"
class LOD_Quadric {
private:
MT_Scalar a2, ab, ac, ad;
MT_Scalar b2, bc, bd;
MT_Scalar c2, cd;
MT_Scalar d2;
void init(MT_Scalar a, MT_Scalar b, MT_Scalar c, MT_Scalar d);
public:
LOD_Quadric(
) {
Clear();
};
LOD_Quadric(
const MT_Vector3 & vec,
const MT_Scalar & offset
) {
a2 = vec[0] *vec[0];
b2 = vec[1] *vec[1];
c2 = vec[2] *vec[2];
ab = vec[0]*vec[1];
ac = vec[0]*vec[2];
bc = vec[1]*vec[2];
MT_Vector3 temp = vec*offset;
ad = temp[0];
bd = temp[1];
cd = temp[2];
d2 = offset*offset;
};
MT_Matrix3x3
Tensor(
) const {
// return a symmetric matrix
return MT_Matrix3x3(
a2,ab,ac,
ab,b2,bc,
ac,bc,c2
);
};
MT_Vector3
Vector(
) const {
return MT_Vector3(ad, bd, cd);
};
void
Clear(
MT_Scalar val=0.0
) {
a2=ab=ac=ad=b2=bc=bd=c2=cd=d2=val;
};
LOD_Quadric &
operator=(
const LOD_Quadric& Q
) {
a2 = Q.a2; ab = Q.ab; ac = Q.ac; ad = Q.ad;
b2 = Q.b2; bc = Q.bc; bd = Q.bd;
c2 = Q.c2; cd = Q.cd;
d2 = Q.d2;
return *this;
};
LOD_Quadric&
operator+=(
const LOD_Quadric& Q
) {
a2 += Q.a2; ab += Q.ab; ac += Q.ac; ad += Q.ad;
b2 += Q.b2; bc += Q.bc; bd += Q.bd;
c2 += Q.c2; cd += Q.cd;
d2 += Q.d2;
return *this;
};
LOD_Quadric&
operator*=(
const MT_Scalar & s
) {
a2 *= s; ab *= s; ac *= s; ad *= s;
b2 *= s; bc *= s; bd *= s;
c2 *= s; cd *= s;
d2 *= s;
return *this;
};
MT_Scalar
Evaluate(
const MT_Vector3 &v
) const {
// compute the LOD_Quadric error
return v[0]*v[0]*a2 + 2*v[0]*v[1]*ab + 2*v[0]*v[2]*ac + 2*v[0]*ad
+v[1]*v[1]*b2 + 2*v[1]*v[2]*bc + 2*v[1]*bd
+v[2]*v[2]*c2 + 2*v[2]*cd
+ d2;
};
bool
Optimize(
MT_Vector3& v
) const {
MT_Scalar det = Tensor().determinant();
if (MT_fuzzyZero(det)) {
return false;
}
v = -((Tensor().inverse()) * Vector());
return true;
};
};
#endif
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