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threevector.hh
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threevector.hh
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/*
ThreeVector class
Time-stamp: <threevector.cc on Saturday, 8 September, 2012 at 16:05:45 MST (philip)>
*/
#ifndef __THREEVECTOR_CC__
#define __THREEVECTOR_CC__
#include <iostream>
#include <iomanip>
#include <limits>
#include <cassert>
#include "promote_numeric.h"
template <class T>
class ThreeVector {
public:
T x, y, z;
// constructors:
inline ThreeVector<T>()
: x(static_cast<T>(0)),
y(static_cast<T>(0)),
z(static_cast<T>(0))
{}
template <class U>
inline ThreeVector<T>( const ThreeVector<U>& other )
: x(static_cast<T>(other.x)),
y(static_cast<T>(other.y)),
z(static_cast<T>(other.z))
{}
// want to be able to write: ThreeVector<double> x(2,2.5,4)
template <class U, class V, class W>
inline ThreeVector<T>( const U rhsx, const V rhsy, W const rhsz )
: x(static_cast<T>(rhsx)),
y(static_cast<T>(rhsy)),
z(static_cast<T>(rhsz))
{}
// broadcast a scalar
template <class U>
inline explicit ThreeVector<T>( const U& s)
: x(static_cast<T>(s)),
y(static_cast<T>(s)),
z(static_cast<T>(s))
{}
// allow access as a three-vector
inline T operator [] ( const size_t i ) const {
assert( i < 3 );
return *(&x+i);
}
inline T& operator [] ( const size_t i ) {
assert( i < 3 );
return *(&x+i);
}
// assignment
template <class U>
inline ThreeVector<T>& operator = ( const ThreeVector<U>& other ) {
x = static_cast<T>(other.x);
y = static_cast<T>(other.y);
z = static_cast<T>(other.z);
return *this;
}
//unary operations (sign)
inline const ThreeVector<T>& operator +() {
return *this;
}
inline ThreeVector<T> operator -() {
return ThreeVector<T>(-x, -y, -z);
}
template <class U>
inline ThreeVector<T>& operator += ( const ThreeVector<U>& rhs ) {
x += rhs.x;
y += rhs.y;
z += rhs.z;
return *this;
}
template <class U>
inline ThreeVector<T>& operator -= ( const ThreeVector<U>& rhs ) {
x -= rhs.x;
y -= rhs.y;
z -= rhs.z;
return *this;
}
template <class U>
inline ThreeVector<T>& operator *= ( const ThreeVector<U>& rhs ) {
x *= rhs.x;
y *= rhs.y;
z *= rhs.z;
return *this;
}
template <class U>
inline ThreeVector<T>& operator *= ( const U rhs ) {
x *= rhs;
y *= rhs;
z *= rhs;
return *this;
}
template <class U>
inline ThreeVector<T>& operator /= ( const U rhs ) {
x /= rhs;
y /= rhs;
z /= rhs;
return *this;
}
inline typename PromoteNumeric<T, float>::type norm() const {
return sqrt( x * x + y * y + z * z );
}
inline typename PromoteNumeric<T, float>::type norm2() const {
return ( x * x + y * y + z * z );
}
inline T maxcomponent() const {
T maxxy = (x>y)?x:y;
return maxxy>z?maxxy:z;
}
inline T mincomponent() const {
T maxxy = (x<y)?x:y;
return maxxy<z?maxxy:z;
}
template<class U>
inline typename PromoteNumeric<T, U>::type dot(const ThreeVector<U>& rhs) const {
return x * rhs.x + y * rhs.y + z * rhs.z;
}
template <class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
cross( const ThreeVector<U>& rhs ) const {
return ThreeVector<typename PromoteNumeric<T, U>::type>(
y * rhs.z - z * rhs.y,
z * rhs.x - x * rhs.z,
x * rhs.y - y * rhs.x);
}
// abs. diff. between *this and rhs is less than epsilon in each component
template <class U, class V>
inline int absclose( const ThreeVector<U>& rhs, const V epsilon ) const {
ThreeVector<typename PromoteNumeric<T, U>::type> diff;
diff = *this - rhs;
return
fabs(diff.x) < epsilon &&
fabs(diff.y) < epsilon &&
fabs(diff.z) < epsilon;
}
// rel. diff. between *this and rhs is less than epsilon in each component
template <class U, class V>
inline int relclose( const ThreeVector<U>& rhs, const V epsilon ) const {
ThreeVector<typename PromoteNumeric<T, U>::type> sum, diff;
sum.x = fabs(x) + fabs(rhs.x);
sum.y = fabs(y) + fabs(rhs.y);
sum.z = fabs(z) + fabs(rhs.z);
diff = *this - rhs;
return
( 2*fabs(diff.x) / sum.x ) < epsilon &&
( 2*fabs(diff.y) / sum.y ) < epsilon &&
( 2*fabs(diff.z) / sum.z ) < epsilon;
}
inline int is_finite() const {
return isfinite(x) && isfinite(y) && isfinite(z);
}
// relational operators
template <class U>
inline bool operator == ( const ThreeVector<U>& rhs ) const {
return ( x == rhs.x && y == rhs.y && z == rhs.z );
}
template <class U>
inline bool operator != ( const ThreeVector<U>& rhs ) const {
return ( x != rhs.x || y != rhs.y || z != rhs.z );
}
template <class U>
inline bool operator < ( const ThreeVector<U>& rhs ) const {
if( x < rhs.x && y < rhs.y && z < rhs.z ) return true;
return false;
}
template <class U>
inline bool operator <= ( const ThreeVector<U>& rhs ) const {
if( x <= rhs.x && y <= rhs.y && z <= rhs.z ) return true;
return false;
}
template <class U>
inline bool operator > ( const ThreeVector<U>& rhs ) const {
if( x > rhs.x && y > rhs.y && z > rhs.z ) return true;
return false;
}
template <class U>
inline bool operator >= ( const ThreeVector<U>& rhs ) const {
if( x >= rhs.x && y >= rhs.y && z >= rhs.z ) return true;
return false;
}
// stream operator: keep the format settings from being destroyed by the
// non-numeric characters output
inline friend std::ostream& operator <<( std::ostream& o, const ThreeVector<T>& v ) {
std::streamsize tmpw = o.width();
std::streamsize tmpp = o.precision();
char tmps = o.fill();
std::ios::fmtflags tmpf = o.flags(); // format flags like "scientific" and "left" and "showpoint"
o << std::setw(1);
o << "(";
o.flags(tmpf); o << std::setfill(tmps) << std::setprecision(tmpp) << std::setw(tmpw);
o << v.x;
o << ",";
o.flags(tmpf); o << std::setfill(tmps) << std::setprecision(tmpp) << std::setw(tmpw);
o << v.y;
o << ",";
o.flags(tmpf); o << std::setfill(tmps) << std::setprecision(tmpp) << std::setw(tmpw);
o << v.z;
o << ")";
return o;
}
inline ThreeVector<T> zero() {
x = 0;
y = 0;
z = 0;
return *this;
}
// return true if all components are on [a,b]
template <class U, class V>
inline int inrange(U low, V hi) {
return (x >= low && x <= hi) && (y >= low && y <= hi) && (z >= low && z <= hi);
}
};
// componentwise addition and subtraction
template <class T, class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
operator + (const ThreeVector<T>& lhs, const ThreeVector<U>& rhs ) {
return ThreeVector<typename PromoteNumeric<T, U>::type> (
lhs.x + rhs.x,
lhs.y + rhs.y,
lhs.z + rhs.z
);
}
template <class T, class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
operator - (const ThreeVector<T>& lhs, const ThreeVector<U>& rhs ) {
return ThreeVector<typename PromoteNumeric<T, U>::type> (
lhs.x - rhs.x,
lhs.y - rhs.y,
lhs.z - rhs.z
);
}
// left and right multiplication by a scalar
template <class T, class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
operator * ( const ThreeVector<T>& lhs, const U rhs ) {
return ThreeVector<typename PromoteNumeric<T, U>::type> (
lhs.x * rhs,
lhs.y * rhs,
lhs.z * rhs
);
}
template <class T, class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
operator * ( const T lhs, const ThreeVector<U>& rhs ) {
return ThreeVector<typename PromoteNumeric<T, U>::type> (
lhs * rhs.x,
lhs * rhs.y,
lhs * rhs.z
);
}
// right division by a scalar
template <class T, class U>
inline ThreeVector<typename PromoteNumeric<T, U>::type>
operator / ( const ThreeVector<T>& lhs, const U rhs ) {
return ThreeVector<typename PromoteNumeric<T, U>::type> (
lhs.x / rhs,
lhs.y / rhs,
lhs.z / rhs
);
}
// three most common cases
typedef ThreeVector<double> double3;
typedef ThreeVector<float> float3;
typedef ThreeVector<int> integer3;
#endif // __THREEVECTOR_CC__