File: vector.h

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#ifndef VISUAL_VECTOR_H
#define VISUAL_VECTOR_H

// Copyright (c) 2000, 2001, 2002, 2003 by David Scherer and others.
// See the file license.txt for complete license terms.
// See the file authors.txt for a complete list of contributors.

#include "cvisual.h"
#include "vcache.h"

#include <iosfwd>
#include <sstream>
#include <stdexcept>
#include <cmath>

namespace visual {

class vector
{
public:
	double x;
	double y;
    double z;

public:
	explicit vector( double a = 0.0, double b = 0.0, double c = 0.0) throw()
		:x(a), y(b), z(c) {}
    
	// We use this in gldevice to construct an rView, using an 
	// implicit conversion.  It is also used for converting double* iterators
	// that point into a Numeric.array into a vector represenation.
	inline vector( const double xyz[3])
		: x( xyz[0]), y(xyz[1]), z(xyz[2]) {}
	
	inline vector( const float xyz[3])
		: x( static_cast<double>(xyz[0])), y( static_cast<double>(xyz[1])), z(static_cast<double>(xyz[2])) {}
    
	// See the source for a detailed discussion of this potentially dangerous
	// function.
	explicit vector( const boost::python::object& t);
    
    vector( const vector& v) throw() : x(v.x), y(v.y), z(v.z) {}
    
	// Convert to a python tuple
	boost::python::tuple 
	as_tuple() const;
    
	// Overloaded binary +, -, *, and /
	inline vector
	operator+( const vector& v) const throw()
	{ return vector( x+v.x, y+v.y, z+v.z); }

	inline vector
	operator-( const vector& v) const throw()
	{ return vector( x-v.x, y-v.y, z-v.z); }

	inline vector
	operator*( const double s) const throw()
	{ return vector( s*x, y*s, z*s); }
   
	inline vector
	operator*( const int s) const throw()
	{ return vector( s*x, y*s, z*s); }

	inline vector
	operator/( const double s) const throw()
	{ return vector( x/s, y/s, z/s); }
        
	inline vector
	operator/( const int s) const throw()
	{ return vector( x/s, y/s, z/s); }

    // This operator describes a strict weak ordering as defined by the STL.
	bool 
	operator<( const vector& v) const throw();
	
	inline bool
	operator==( const vector& v) const throw()
	{ return (v.x == this->x && v.y == this->y && v.z == this->z); }
	
	inline bool
	operator!=( const vector& v) const throw()
	{ return !(v == *this); }
	
	// Overloaded uniary !, probably bad coding practice.
	inline bool
	operator!( void) const throw()
	{ return !x && !y && !z; }
    
    // Overloaded assignment: =, +=, -=, *=, /=
	inline const vector&
	operator=( const vector& v) throw()
	{ x=v.x; y=v.y; z=v.z; return *this; }
  
	inline const vector&
	operator+=( const vector& v) throw()
	{ x=x+v.x; y=y+v.y; z=z+v.z; return *this; }
    
	inline const vector&
	operator-=( const vector& v) throw()
	{ x=x-v.x; y=y-v.y; z=z-v.z; return *this; }
    
	inline const vector&
	operator*=( const int s) throw()
	{ x=x*s; y=y*s; z=z*s; return *this; }
    
	inline const vector&
	operator*=( const double s) throw()
	{ x=x*s; y=y*s; z=z*s; return *this; }
    
	inline const vector&
	operator/=( const int s) throw()
	{ x=x/s; y=y/s; z=z/s; return *this; }
    
	inline const vector&
	operator/=( const double s) throw()
	{ x=x/s; y=y/s; z=z/s; return *this; }
   
 	inline vector
	operator-() const throw()
	{ return vector( -x, -y, -z); }
        
	// return the magnitude of this vector
	inline double 
	mag( void) const throw()
	{ return std::sqrt( x*x + y*y + z*z); }
    
	// return the square of the this vector's magnitude
	inline double
	mag2( void) const throw()
	{ return (x*x + y*y + z*z); }
    
	// return the unit vector of this vector
	vector
	norm( void) const throw();
    
	// Pythonic function to provide a "representation" of this object.
	// object.__repr__() should return a string that, were it executed as python
	// code, should regenerate the object.
	std::string
	repr() const;
     
	// return the dot product of this vector and another
	inline double
	dot( const vector& v) const throw()
	{ return ( v.x * this->x + v.y * this->y + v.z * this->z); }

	// Return the cross product of this vector and another.  
	vector
	cross( const vector& v) const throw();

	// Scalar projection of this to v
	double
	comp( const vector& v) const throw();

	// Vector projection of this to v
	vector
	proj( const vector& v) const throw();

	// Returns true iff this->dot( v) == 0.  Probably always return false in floating point.
	bool
	orthogonal( const vector& v) const throw();

	// Returns the angular difference between two vectors, in radians, between 0 and pi.
	double
	diff_angle( const vector& v) const throw();
	
	// Scale this vector to another, by elementwise multiplication
	inline vector
	scale( const vector& v) const throw()
	{ return vector( this->x*v.x, this->y*v.y, this->z*v.z); }
	
	void
	py_scale( double);
	
	void
	py_scale2( double);
	
	vector
	rotate( double angle, vector axis = vector(0,0,1)) const throw();

	// Last ditch direct read/write access to the private variables
	inline double
	get_x( void) const throw() { return x; }

	inline void
	set_x( double s) throw() { this->x = s; }
        
	inline double
	get_y( void) const throw() { return y; }

	inline void
	set_y( double s) throw() { this->y = s; }
    
	inline double
	get_z( void) const throw() { return z; }

	inline void
	set_z( double s) throw() { this->z = s; }
    
	// zero the state of the vector. Potentially useful for reusing a temporary.
	inline void
	clear( void) { x=0.0; y=0.0; z=0.0; }
    
	inline int
	py_len() { return 3; }
	
	double py_getitem( int i) const;
	
	void py_setitem(int i, double value);
	
	inline double&
	operator[]( int ref)
	{
		switch (ref) {
			case 0:
				return x;
			case 1:
				return y;
			case 2:
				return z;
			default:
				return x;
		}
	}
	
	inline const double&
	operator[]( int ref) const
	{
		switch (ref) {
			case 0:
				return x;
			case 1:
				return y;
			case 2:
				return z;
			default:
				return x;
		}
	}

	inline vector
	fabs() const
	{ return vector( std::fabs(x), std::fabs(y), std::fabs(z)); }
	
	// Returns true iff this is a linear multiple of other.  This is equivalent
	// to this->norm().fabs() == other.norm().fabs(), but faster.
	bool
	linear_multiple_of( const vector& other) const;
};
  
// Free functions for mag, mag2, dot, unit, cross, and tripleproducts.
// All of these functions merely call their class-member variants to save code.
inline double
mag( const vector& v)
{ return v.mag(); }

inline double
mag2( const vector& v)
{ return v.mag2(); }
  
inline vector
norm( const vector& v)
{ return v.norm(); }
  
inline double
dot( const vector& v1, const vector& v2)
{ return v1.dot( v2); }

inline vector
cross( const vector& v1, const vector& v2)
{ return v1.cross( v2); }

// Scalar projection of v1 -> v2
inline double
comp( const vector& v1, const vector& v2)
{ return v1.comp( v2); }

// Vector projection of v1 to v2
inline vector
proj( const vector& v1, const vector& v2)
{ return v1.proj( v2); }

// Returns true iff this->dot( v) == 0.  Probably always return false.
inline bool
orthogonal( const vector& v1, const vector& v2)
{ return v1.orthogonal( v2); }

// Returns the angular difference between two vectors, in radians, from 0 - pi.
inline double
diff_angle( const vector& v1, const vector& v2)
{ return v1.diff_angle( v2); }

inline vector
rotate( const vector& v, double angle, const vector& axis = vector(0, 0, 1))
{ return v.rotate( angle, axis); }

// Initialize the vector class interface to python.
void
vector_init_type();

} // !nampespace visual

// Definitions of the global functions for operators *, and /, 
//   with a vector on the RHS, and scalar on the LHS.

inline visual::vector
operator*( const double& s, const visual::vector& v)
{ 
  return visual::vector( s*v.x, s*v.y, s*v.z); 
}

inline visual::vector
operator*( const int& s, const visual::vector& v)
{ 
  return visual::vector( s*v.x, s*v.y, s*v.z); 
}

// We should not need to place this in namespace std, but GCC's L/U fails
//   if we don't.
namespace std {
// Insertion operator.  Example output: <xxxx, yyyy, zzzz>
// Based on "The C++ Standard Library", N. M. Josuttis, section 13.12.1
template<typename char_T, typename traits>
basic_ostream<char_T, traits>&
operator<<( basic_ostream<char_T, traits>& stream, const visual::vector& v)
{
	basic_ostringstream<char_T, traits> s;
	s.copyfmt( stream);
	s.width( 0);
    
	s << "<" << v.x << ", " << v.y << ", " << v.z << ">";
	stream << s.str();
    
	return stream;
}

} // ! namespace std


namespace visual {
	
// This is a utility class to help provide wrapping around a shared vector object.
// Locking is only provided for writes, not reads; the reading object must lock
// it (ie, the rendering thread).
// shared_vector provides simmillar functionallity to LockedVectorPtr under the 
// Py::CXX-based interface.
class shared_vector : public vector 
{
 private:
	typedef Cache::write_lock write_lock;
	mutex* owner; //< The owner of this mutex must be a Cache
	// object.  Since return_internal_reference<>() binds the lifetime of this
	// vector to its owner, we do not need any additional lifetime management for
	// the pointer.  Just the same, all of the assignment checks verify that the
	// mutex is not NULL.  In the event that owner is NULL, shared_vector
	// behaves indistinguishably from vector.

 public:
	shared_vector( mutex* _owner, const vector& v )
		:  vector(v), owner(_owner){}
    
	shared_vector( mutex* _owner, double x, double y, double z)
		:  vector( x, y, z), owner( _owner){}
			
	const shared_vector&
	operator=( boost::python::tuple t);
    
	void
	set_x( const double& x);
			
	void
	set_y( const double& y);
    
	void
	set_z( const double& z);
    
	// Thread safely assign to this vector.
	const shared_vector&
	operator=( const vector& v);
    
	const shared_vector&
	operator+=( const vector& v);
    
	const shared_vector&
	operator-=( const vector& v);
    
	const shared_vector&
	operator*=( const double& s);
    
	const shared_vector&
	operator/=( const double& s);
    
	const shared_vector&
	operator*=( const int& s);
    
	const shared_vector&
	operator/=( const int& s);
	
	void py_setitem(int i, double value);
	
	void py_scale( double);
	void py_scale2( double);

}; // !class shared_vector

// Numeric doens't support the Sequence protocol, so I have to use this hack
// instead.
inline int
length(const boost::python::object& seq)
{
	int ret = PySequence_Size( seq.ptr());
	if (ret == -1) {
		boost::python::throw_error_already_set();
	}
	return ret;
}

} // !namespace visual

#endif // !VECTOR_H