vec3d.hpp

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/* Copyright (c) 2005-2012,2016 Taneli Kalvas. All rights reserved.
 *
 * You can redistribute this software 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 library 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 library (file "COPYING" included in the package);
 * if not, write to the Free Software Foundation, Inc., 51 Franklin
 * Street, Fifth Floor, Boston, MA 02110-1301 USA
 * 
 * If you have questions about your rights to use or distribute this
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 * U.S.  Department of Energy.  As such, the U.S. Government has been
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#ifndef VEC3D_HPP
#define VEC3D_HPP 1
 
 
#include <math.h>
#include <stdint.h>
#include <iostream>
#include <iostream>
#include <iomanip>
#include "vec4d.hpp"
#include "file.hpp"
 
 
class Vec3D {
 
    double p[3];
 
public:
 
    Vec3D() { p[0] = 0.0; p[1] = 0.0; p[2] = 0.0; }
    Vec3D( double x ) { p[0] = x; p[1] = 0.0; p[2] = 0.0; }
    Vec3D( double x, double y ) { p[0] = x; p[1] = y; p[2] = 0.0; }
    Vec3D( double x, double y, double z ) { p[0] = x; p[1] = y; p[2] = z; }
 
    Vec3D( const class Vec4D &vec );
 
    Vec3D( std::istream &s ) {
        p[0] = read_double( s );
        p[1] = read_double( s );
        p[2] = read_double( s );
    }
    ~Vec3D() {}
 
    double &operator[]( int i ) { return( p[i] ); }
    const double &operator[]( int i ) const { return( p[i] ); }
    double &operator()( int i ) { return( p[i] ); }
    const double &operator()( int i ) const { return( p[i] ); }
 
    Vec3D operator+( const Vec3D &vec ) const { 
        return( Vec3D( p[0] + vec[0], 
                       p[1] + vec[1],
                       p[2] + vec[2] ) );
    }
 
    Vec3D operator-( const Vec3D &vec ) const {
        return( Vec3D( p[0] - vec[0],
                       p[1] - vec[1],
                       p[2] - vec[2] ) );
    } 
 
    Vec3D &operator+=( const Vec3D &vec ) { 
        p[0] += vec[0];
        p[1] += vec[1];
        p[2] += vec[2];
        return( *this );
    }
 
    double operator*( const Vec3D &vec ) const { 
        return( p[0] * vec[0] +
                p[1] * vec[1] +
                p[2] * vec[2] );
    }
 
    Vec3D operator*( double x ) const { 
        return( Vec3D( x*p[0], x*p[1], x*p[2] ) );
    }
 
    Vec3D operator-( void ) const { 
        return( Vec3D( -p[0], -p[1], -p[2] ) );
    }
 
    Vec3D &operator*=( double x ) { 
        p[0] *= x;
        p[1] *= x;
        p[2] *= x;
        return( *this );
    }
 
    Vec3D &operator/=( double x ) { 
        double div = 1.0/x;
        p[0] *= div;
        p[1] *= div;
        p[2] *= div;
        return( *this );
    }
 
    bool operator!=( const Vec3D &x ) const;
 
    bool operator==( const Vec3D &x ) const;
 
    bool approx( const Vec3D &x, double eps = 1.0e-6 ) const;
 
    Vec3D &operator=( const Vec3D &x ) { 
        p[0] = x[0];
        p[1] = x[1];
        p[2] = x[2];
        return( *this );
    }
 
    Vec3D &operator=( const double &x ) { 
        p[0] = x;
        p[1] = x;
        p[2] = x;
        return( *this );
    }
 
    void abs( void ) {
        p[0] = fabs( p[0] );
        p[1] = fabs( p[1] );
        p[2] = fabs( p[2] );
    }
 
    void normalize( void ) {
        double inv_norm = 1.0/sqrt( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] );
        p[0] *= inv_norm;
        p[1] *= inv_norm;
        p[2] *= inv_norm;
    }
 
    double norm2( void ) const {
        return( sqrt( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] ) );
    }
 
    double max( void ) const;
 
    double ssqr( void ) const {
        return( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] );
    }
 
    int min_element( void ) const;
 
    Vec3D arb_perpendicular( void ) const;
 
    void save( std::ostream &os ) const { 
        write_double( os, p[0] );
        write_double( os, p[1] );
        write_double( os, p[2] ); 
    }
 
    static Vec3D standard_basis( int i );
 
    friend Vec3D cross( const Vec3D &vec1, const Vec3D &vec2 );
 
    friend double norm2( const Vec3D &vec );
 
    friend double ssqr( const Vec3D &vec );
 
    friend Vec3D operator*( double x, const Vec3D &vec );
 
    friend Vec3D operator*( double x, const class Int3D &i );
 
    friend std::ostream &operator<<( std::ostream &os, const Vec3D &vec );
    friend std::basic_ostream<wchar_t> &operator<<( std::basic_ostream<wchar_t> &os, const Vec3D &vec );
};
 
 
inline double norm2( const Vec3D &vec ) {
    return( vec.norm2() );
}
 
 
inline double ssqr( const Vec3D &vec ) {
    return( vec.ssqr() );
}
 
 
inline Vec3D cross( const Vec3D &vec1, const Vec3D &vec2 ) { 
    return( Vec3D( vec1[1] * vec2[2] - vec1[2] * vec2[1], 
                   vec1[2] * vec2[0] - vec1[0] * vec2[2],
                   vec1[0] * vec2[1] - vec1[1] * vec2[0] ) );
}
 
 
inline Vec3D operator*( double x, const Vec3D &vec )
{
    return( Vec3D( x*vec.p[0], x*vec.p[1], x*vec.p[2] ) );
}
 
 
inline std::ostream &operator<<( std::ostream &os, const Vec3D &vec ) 
{
    os << std::setw(12) << vec[0] << " " 
       << std::setw(12) << vec[1] << " "
       << std::setw(12) << vec[2];
    //os << std::setw(12) << to_string(vec[0]).substr(0,12) << " ";
    //os << std::setw(12) << to_string(vec[1]).substr(0,12) << " ";
    //os << std::setw(12) << to_string(vec[2]).substr(0,12);
    return( os );
}
 
 
inline std::basic_ostream<wchar_t> &operator<<( std::basic_ostream<wchar_t> &os, const Vec3D &vec )
{
    os << std::setw(12) << vec[0] << " " 
       << std::setw(12) << vec[1] << " "
       << std::setw(12) << vec[2];
    //os << std::setw(12) << to_wstring(vec[0]).substr(0,12) << " ";
    //os << std::setw(12) << to_wstring(vec[1]).substr(0,12) << " ";
    //os << std::setw(12) << to_wstring(vec[2]).substr(0,12);
    return( os );
}
 
 
class Int3D {
    int32_t l[3];
 
public:
 
    Int3D() { l[0] = 0; l[1] = 0; l[2] = 0; }
    Int3D( int32_t i ) { l[0] = i; l[1] = 0; l[2] = 0; }
    Int3D( int32_t i, int32_t j ) { l[0] = i; l[1] = j; l[2] = 0; }
    Int3D( int32_t i, int32_t j, int32_t k ) { l[0] = i; l[1] = j; l[2] = k; }
    Int3D( std::istream &s ) {
        l[0] = read_int32( s );
        l[1] = read_int32( s );
        l[2] = read_int32( s );
    }
    ~Int3D() {}
 
    int32_t &operator[]( int i ) { return( l[i] ); }
    const int32_t &operator[]( int i ) const { return( l[i] ); }
    int32_t &operator()( int i ) { return( l[i] ); }
    const int32_t &operator()( int i ) const { return( l[i] ); }
 
    Int3D operator+( const Int3D &i ) const { 
        return( Int3D( l[0] + i[0], 
                       l[1] + i[1],
                       l[2] + i[2] ) );
    }
 
    Int3D operator-( const Int3D &i ) {
        return( Int3D( l[0] - i[0],
                       l[1] - i[1],
                       l[2] - i[2] ) );
    } 
 
    Int3D operator*( int i ) { 
        return( Int3D( i*l[0], i*l[1], i*l[2] ) );
    }
 
    Vec3D operator*( double x ) { 
        return( Vec3D( x*l[0], x*l[1], x*l[2] ) );
    }
 
    bool operator!=( const Int3D &i ) const { 
        if( l[0] != i.l[0] || l[1] != i.l[1] || l[2] != i.l[2] )
            return( true );
        return( false ); 
    }
 
    bool operator==( const Int3D &i ) const { 
        if( l[0] == i.l[0] && l[1] == i.l[1] && l[2] == i.l[2] )
            return( true );
        return( false ); 
    }
 
 
    int32_t max( void ) const;
 
    void save( std::ostream &s ) const { 
        write_int32( s, l[0] );
        write_int32( s, l[1] );
        write_int32( s, l[2] ); 
    }
 
    friend Vec3D operator*( double x, const Int3D &i );
    friend Int3D operator*( int x, const Int3D &i );
    friend std::ostream &operator<<( std::ostream &os, const Int3D &vec );
    friend std::basic_ostream<wchar_t> &operator<<( std::basic_ostream<wchar_t> &os, const Int3D &vec );
};
 
 
inline Vec3D operator*( double x, const Int3D &i )
{
    Vec3D res;
    res[0] = x*i.l[0];
    res[1] = x*i.l[1];
    res[2] = x*i.l[2];
    return( res );
}
 
 
inline Int3D operator*( int x, const Int3D &i )
{
    Int3D res;
    res[0] = x*i.l[0];
    res[1] = x*i.l[1];
    res[2] = x*i.l[2];
    return( res );
}
 
 
inline std::ostream &operator<<( std::ostream &os, const Int3D &vec ) 
{
    os << std::setw(12) << vec[0] << " " 
       << std::setw(12) << vec[1] << " "
       << std::setw(12) << vec[2];
    //os << std::setw(12) << to_string(vec[0]).substr(0,12) << " ";
    //os << std::setw(12) << to_string(vec[1]).substr(0,12) << " ";
    //os << std::setw(12) << to_string(vec[2]).substr(0,12);
    return( os );
}
 
 
inline std::basic_ostream<wchar_t> &operator<<( std::basic_ostream<wchar_t> &os, const Int3D &vec ) 
{
    os << std::setw(12) << vec[0] << " " 
       << std::setw(12) << vec[1] << " "
       << std::setw(12) << vec[2];
    //os << std::setw(12) << to_wstring(vec[0]).substr(0,12) << " ";
    //os << std::setw(12) << to_wstring(vec[1]).substr(0,12) << " ";
    //os << std::setw(12) << to_wstring(vec[2]).substr(0,12);
    return( os );
}
 
 
#endif