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/*
* Copyright (C) 2002,2003,2004 Daniel Heck
*
* 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.
*
*/
#ifndef ECL_MATH_HH_INCLUDED
#define ECL_MATH_HH_INCLUDED
#include <cmath>
#include <iosfwd>
namespace ecl
{
/* -------------------- Functions -------------------- */
template <class T, class V>
inline T round_nearest (V v)
{
if (v > 0)
return static_cast<T>(floor(v + 0.5));
else
return static_cast<T>(ceil(v - 0.5));
}
template <class T, class V>
inline T round_down (V v)
{
return static_cast<T>(floor(v));
}
/* -------------------- Vector class -------------------- */
template <typename T, int N>
class Vector
{
T v[N];
typedef Vector<T, N> vector_type;
protected:
class noinit {};
Vector(noinit) {}
public:
// Constructors.
Vector() {
for (int i=N-1; i>=0; --i)
v[i] = 0;
}
explicit Vector(T* w) {
for (int i=N-1; i>=0; --i)
v[i] = w[i];
}
// Copy constructor & assignment
Vector(const vector_type & x) {
for (int i=N-1; i>=0; --i)
v[i] = x.v[i];
}
vector_type& operator=(const vector_type & x) {
if (&x != this)
for (int i=N-1; i>=0; --i)
v[i] = x.v[i];
return *this;
}
// Normalization
T normalize() {
T l = std::sqrt( (*this) * (*this) );
if (l != 0)
(*this) /= l;
return l;
}
// Addition and subtraction
vector_type & operator+= (const vector_type & x) {
for (int i=N-1; i>=0; --i)
v[i] += x.v[i];
return *this;
}
vector_type & operator-= (const vector_type & x) {
for (int i=N-1; i>=0; --i)
v[i] -= x.v[i];
return *this;
}
// scalar multiplication
vector_type & operator*= (T a) {
for (int i=N-1; i>=0; --i)
v[i] *= a;
return *this;
}
// scalar division
vector_type & operator/= (T a) {
for (int i=N-1; i>=0; --i)
v[i] /= a;
return *this;
}
// scalar product
T operator*(const vector_type & x) const {
double sp = 0;
for (int i=N-1; i>=0; --i)
sp += v[i]*x.v[i];
return sp;
}
T& operator[](int idx) { return v[idx]; }
const T& operator[](int idx) const { return v[idx]; }
};
// negation
template <typename T, int N>
inline Vector<T,N>
operator- (const Vector<T,N> &a)
{
Vector<T,N> res(a);
for (int i=N-1; i>=0; --i)
res[i]= -res[i];
return res;
}
template <typename T, int N>
inline double
length(const Vector<T,N> &a)
{
return std::sqrt(a*a);
}
template <typename T, int N>
inline double
square (const Vector<T,N> &a)
{
return a*a;
}
template <typename T, int N>
inline Vector<T,N>
normalize(const Vector<T,N> &a)
{
if (T aa=length(a))
return a/aa;
else
return a;
}
template <typename T, int N>
inline Vector<T,N>
operator+ (const Vector<T,N> & a,
const Vector<T,N> & b)
{
Vector<T,N> res (a);
res += b;
return res;
}
template <typename T, int N>
inline Vector<T,N>
operator- (const Vector<T,N> & a,
const Vector<T,N> & b)
{
Vector<T,N> res (a);
res -= b;
return res;
}
// scalar multiplication in different operand orders
template <typename T, int N>
inline Vector<T,N>
operator*(const Vector<T,N> & v, double a)
{
Vector<T,N> res (v);
res *= a;
return res;
}
template <typename T, int N>
inline Vector<T,N>
operator*(double a, const Vector<T,N> & v)
{
Vector<T,N> res (v);
res *= a;
return res;
}
// scalar division in different operand orders
template <typename T, int N>
inline Vector<T,N>
operator/(const Vector<T,N> & v, double a)
{
Vector<T,N> res (v);
res /= a;
return res;
}
template <typename T, int N>
inline Vector<T,N>
operator/(double a, const Vector<T,N> & v)
{
Vector<T,N> res (v);
res /= a;
return res;
}
template <typename T, int N>
inline bool
operator==(const Vector<T,N> & v,const Vector<T,N> & w)
{
for (int i=N-1; i>=0; --i)
if (v[i] != w[i])
return false;
return true;
}
template <typename T, int N>
inline bool
operator!=(const Vector<T,N> & v,const Vector<T,N> & w)
{
return !(v == w);
}
class V3 : public Vector<double, 3> {
public:
V3() {}
V3(double x, double y, double z) :
Vector<double, 3>(noinit())
{
(*this)[0] = x;
(*this)[1] = y;
(*this)[2] = z;
}
V3(const Vector<double,3> &v_) : Vector<double,3>(v_) {}
V3 &operator=(const Vector<double,3> &v_) {
Vector<double,3>::operator=(v_);
return *this;
}
};
//typedef Vector<double, 3> V3;
inline V3
crossprod(const V3 & a, const V3 & b)
{
V3 r;
r[0] = a[1]*b[2] - a[2]*b[1];
r[1] = a[2]*b[0] - a[0]*b[2];
r[2] = a[0]*b[1] - a[1]*b[0];
return r;
}
std::ostream& operator<<(std::ostream& os, const V3 & v);
class V2 : public Vector<double, 2> {
public:
typedef double T;
V2() {}
V2(T x, T y) :
Vector<T,2>(noinit())
{
(*this)[0] = x;
(*this)[1] = y;
}
V2 (const Vector<T,2> &v_) : Vector<T,2>(v_) {}
V2 &operator=(const Vector<T,2> &v_) {
Vector<T,2>::operator=(v_);
return *this;
}
};
std::ostream& operator<<(std::ostream& os, const V2 & v);
}
#endif
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