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/* This file is part of the OpenLB library
*
* Copyright (C) 2006, 2007 Jonas Latt
* E-mail contact: info@openlb.net
* The most recent release of OpenLB can be downloaded at
* <http://www.openlb.net/>
*
* 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.
*
* 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., 51 Franklin Street, Fifth Floor,
* Boston, MA 02110-1301, USA.
*/
/** \file
* Set of functions commonly used in LB computations
* -- header file
*/
#ifndef UTIL_H
#define UTIL_H
#include<sstream>
#include<algorithm>
#include<utilities/vectorHelpers.h>
#include "dynamics/descriptorFunction.h"
// patch due to ploblems with older compilers
namespace std {
template<typename T>
std::string to_string(const T &n)
{
std::ostringstream s;
s << n;
return s.str();
}
}
namespace olb {
namespace util {
template<typename T> T norm(const std::vector<T>& a);
template <typename T>
inline int sign(T val)
{
return (0 < val) - (val < 0);
}
template <typename T>
inline bool aligned_to_x(const std::vector<T>& vec)
{
return (vec[0]!=0 and vec[1]==0 and vec[2]==0);
}
template <typename T>
inline bool aligned_to_y(const std::vector<T>& vec)
{
return (vec[0]==0 and vec[1]!=0 and vec[2]==0);
}
template <typename T>
inline bool aligned_to_z(const std::vector<T>& vec)
{
return (vec[0]==0 and vec[1]==0 and vec[2]!=0);
}
template <typename T>
inline bool aligned_to_grid(const std::vector<T>& vec)
{
return (aligned_to_x<T>(vec) or
aligned_to_y<T>(vec) or
aligned_to_z<T>(vec));
}
inline bool intersect (
int x0, int x1, int y0, int y1,
int x0_, int x1_, int y0_, int y1_,
int& newX0, int& newX1, int& newY0, int& newY1 )
{
newX0 = std::max(x0,x0_);
newY0 = std::max(y0,y0_);
newX1 = std::min(x1,x1_);
newY1 = std::min(y1,y1_);
return newX1>=newX0 && newY1>=newY0;
}
inline bool intersect (
int x0, int x1, int y0, int y1, int z0, int z1,
int x0_, int x1_, int y0_, int y1_, int z0_, int z1_,
int& newX0, int& newX1, int& newY0, int& newY1, int& newZ0, int& newZ1 )
{
newX0 = std::max(x0,x0_);
newY0 = std::max(y0,y0_);
newZ0 = std::max(z0,z0_);
newX1 = std::min(x1,x1_);
newY1 = std::min(y1,y1_);
newZ1 = std::min(z1,z1_);
return newX1>=newX0 && newY1>=newY0 && newZ1>=newZ0;
}
inline bool contained(int x, int y,
int x0, int x1, int y0, int y1)
{
return x>=x0 && x<=x1 &&
y>=y0 && y<=y1;
}
inline bool contained(int x, int y, int z,
int x0, int x1, int y0, int y1, int z0, int z1)
{
return x>=x0 && x<=x1 &&
y>=y0 && y<=y1 &&
z>=z0 && z<=z1;
}
template<typename T>
T sqr(T arg)
{
return arg*arg;
}
/// Compute norm square of a d-dimensional vector
template<typename T, unsigned D>
T normSqr(const T u[D])
{
T uSqr = T();
for (unsigned iD=0; iD < D; ++iD) {
uSqr += u[iD]*u[iD];
}
return uSqr;
}
/// Compute norm square of a d-dimensional vector
template<typename T, unsigned D>
T normSqr(const Vector<T,D>& u)
{
T uSqr = T();
for (unsigned iD=0; iD < D; ++iD) {
uSqr += u[iD]*u[iD];
}
return uSqr;
}
template<typename T, int d>
T scalarProduct(const T u1[d], const T u2[d])
{
T prod = T();
for (int iD=0; iD<d; ++iD) {
prod += u1[iD]*u2[iD];
}
return prod;
}
template<typename T>
T scalarProduct(const std::vector<T>& u1, const std::vector<T>& u2)
{
T prod = T();
if (u1.size() == u2.size()) {
for (int iD=0; iD<u1.size(); ++iD) {
prod += u1[iD]*u2[iD];
}
}
return prod;
}
/// Compute number of elements of a symmetric d-dimensional tensor
template <typename DESCRIPTORBASE> struct TensorVal {
static const int n =
(DESCRIPTORBASE::d*(DESCRIPTORBASE::d+1))/2; ///< result stored in n
};
/// Compute the opposite of a given direction
template <typename DESCRIPTORBASE> inline int opposite(int iPop)
{
return descriptors::opposite<DESCRIPTORBASE>(iPop);
}
template <typename DESCRIPTORBASE, int index, int value>
class SubIndex {
private:
SubIndex()
{
for (int iVel=0; iVel<DESCRIPTORBASE::q; ++iVel) {
if (descriptors::c<DESCRIPTORBASE>(iVel,index)==value) {
indices.push_back(iVel);
}
}
}
std::vector<int> indices;
template <typename DESCRIPTORBASE_, int index_, int value_>
friend std::vector<int> const& subIndex();
};
template <typename DESCRIPTORBASE, int index, int value>
std::vector<int> const& subIndex()
{
static SubIndex<DESCRIPTORBASE, index, value> subIndexSingleton;
return subIndexSingleton.indices;
}
template <typename DESCRIPTORBASE>
int findVelocity(const int v[DESCRIPTORBASE::d])
{
for (int iPop=0; iP
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