// File generated by CPPExt (Value)
//
//                     Copyright (C) 1991 - 2000 by  
//                      Matra Datavision SA.  All rights reserved.
//  
//                     Copyright (C) 2001 - 2004 by
//                     Open CASCADE SA.  All rights reserved.
// 
// This file is part of the Open CASCADE Technology software.
//
// This software may be distributed and/or modified under the terms and
// conditions of the Open CASCADE Public License as defined by Open CASCADE SA
// and appearing in the file LICENSE included in the packaging of this file.
//  
// This software is distributed on an "AS IS" basis, without warranty of any
// kind, and Open CASCADE SA hereby disclaims all such warranties,
// including without limitation, any warranties of merchantability, fitness
// for a particular purpose or non-infringement. Please see the License for
// the specific terms and conditions governing rights and limitations under the
// License.

#ifndef _math_Vector_HeaderFile
#define _math_Vector_HeaderFile

#ifndef _Standard_Integer_HeaderFile
#include <Standard_Integer.hxx>
#endif
#ifndef _math_SingleTabOfReal_HeaderFile
#include <math_SingleTabOfReal.hxx>
#endif
#ifndef _Standard_Real_HeaderFile
#include <Standard_Real.hxx>
#endif
#ifndef _Standard_Address_HeaderFile
#include <Standard_Address.hxx>
#endif
#ifndef _Standard_OStream_HeaderFile
#include <Standard_OStream.hxx>
#endif
class Standard_DimensionError;
class Standard_DivideByZero;
class Standard_RangeError;
class Standard_NullValue;
class math_Matrix;


#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Standard_Macro_HeaderFile
#include <Standard_Macro.hxx>
#endif


//! This class implements the real vector abstract data type. <br>
//! Vectors can have an arbitrary range which must be defined at <br>
//! the declaration and cannot be changed after this declaration. <br>
//!    math_Vector V1(-3, 5); // a vector with range [-3..5] <br>
class math_Vector  {

public:

    void* operator new(size_t,void* anAddress) 
      {
        return anAddress;
      }
    void* operator new(size_t size) 
      { 
        return Standard::Allocate(size); 
      }
    void  operator delete(void *anAddress) 
      { 
        if (anAddress) Standard::Free((Standard_Address&)anAddress); 
      }
 // Methods PUBLIC
 // 

//! Contructs a non-initialized vector in the range [Lower..Upper] <br>
//! Lower and Upper are the indexes of the lower and upper <br>
//! bounds of the constructed vector. <br>
Standard_EXPORT math_Vector(const Standard_Integer Lower,const Standard_Integer Upper);

//! Contructs a vector in the range [Lower..Upper] <br>
//!         whose values are all initialized with the value   InitialValue.. <br>
Standard_EXPORT math_Vector(const Standard_Integer Lower,const Standard_Integer Upper,const Standard_Real InitialValue);

//! Constructs a vector in the range [Lower..Upper] <br>
//!          with the "c array" Tab. <br>
Standard_EXPORT math_Vector(const Standard_Address Tab,const Standard_Integer Lower,const Standard_Integer Upper);

//! Initialize all the elements of a vector with InitialValue. <br>
Standard_EXPORT   void Init(const Standard_Real InitialValue) ;

//! Constructs a copy for initialization. <br>
//!          An exception is raised if the lengths of the vectors are <br>
//!          different. <br>
Standard_EXPORT math_Vector(const math_Vector& Other);
//! Returns the length of a vector <br>
  Standard_Integer Length() const;
//! Returns the value of the Lower index of a vector. <br>
  Standard_Integer Lower() const;
//! Returns the value of the Upper index of a vector. <br>
  Standard_Integer Upper() const;

//! Returns the value or the square  of the norm of this vector. <br>
Standard_EXPORT   Standard_Real Norm() const;

//! Returns the value of the square of the norm of a vector. <br>
Standard_EXPORT   Standard_Real Norm2() const;

//! Returns the value of the Index of the maximum element of a vector. <br>
Standard_EXPORT   Standard_Integer Max() const;

//! Returns the value of the Index of the minimum element  of a vector. <br>
Standard_EXPORT   Standard_Integer Min() const;

//! Normalizes this vector (the norm of the result <br>
//! is equal to 1.0) and assigns the result to this vector <br>
//!   Exceptions <br>
//! Standard_NullValue if this vector is null (i.e. if its norm is <br>
//! less than or equal to Standard_Real::RealEpsilon(). <br>
Standard_EXPORT   void Normalize() ;

//! Normalizes this vector (the norm of the result <br>
//! is equal to 1.0) and creates a new vector <br>
//!   Exceptions <br>
//! Standard_NullValue if this vector is null (i.e. if its norm is <br>
//! less than or equal to Standard_Real::RealEpsilon(). <br>
Standard_EXPORT   math_Vector Normalized() const;

//! Inverts this vector and assigns the result to this vector. <br>
Standard_EXPORT   void Invert() ;

//! Inverts this vector and creates a new vector. <br>
Standard_EXPORT   math_Vector Inverse() const;

//! sets a vector from <I1> to <I2> to the vector <V>; <br>
//! An exception is raised if I1<LowerIndex or I2>UpperIndex or I1>I2. <br>
//! An exception is raised if I2-I1+1 is different from the Length of V. <br>
Standard_EXPORT   void Set(const Standard_Integer I1,const Standard_Integer I2,const math_Vector& V) ;

//!Creates a new vector by inverting the values of this vector <br>
//!  between indexes I1 and I2. <br>
//! If the values of this vector were (1., 2., 3., 4., <br>
//! 5., 6.), by slicing it between indexes 2 and 5 the <br>
//! values of the resulting vector are (1., 5., 4., 3., 2., 6.) <br>
Standard_EXPORT   math_Vector Slice(const Standard_Integer I1,const Standard_Integer I2) const;

//! returns the product of a vector and a real value. <br>
Standard_EXPORT   void Multiply(const Standard_Real Right) ;
  void operator *=(const Standard_Real Right) 
{
  Multiply(Right);
}


//! returns the product of a vector and a real value. <br>
Standard_EXPORT   math_Vector Multiplied(const Standard_Real Right) const;
  math_Vector operator*(const Standard_Real Right) const
{
  return Multiplied(Right);
}


//! returns the product of a vector and a real value. <br>
Standard_EXPORT   math_Vector TMultiplied(const Standard_Real Right) const;
friend math_Vector operator *(const Standard_Real Left,const math_Vector& Right);

//! divides a vector by the value <Right>. <br>
//! An exception is raised if <Right> = 0. <br>
Standard_EXPORT   void Divide(const Standard_Real Right) ;
  void operator /=(const Standard_Real Right) 
{
  Divide(Right);
}


//! divides a vector by the value <Right>. <br>
//! An exception is raised if <Right> = 0. <br>
Standard_EXPORT   math_Vector Divided(const Standard_Real Right) const;
  math_Vector operator/(const Standard_Real Right) const
{
  return Divided(Right);
}


//! adds the vector <Right> to a vector. <br>
//! An exception is raised if the vectors have not the same length. <br>
//! Warning <br>
//! In order to avoid time-consuming copying of vectors, it <br>
//! is preferable to use operator += or the function Add whenever possible. <br>
Standard_EXPORT   void Add(const math_Vector& Right) ;
  void operator +=(const math_Vector& Right) 
{
  Add(Right);
}


//! adds the vector <Right> to a vector. <br>
//! An exception is raised if the vectors have not the same length. <br>
//! An exception is raised if the lengths are not equal. <br>
Standard_EXPORT   math_Vector Added(const math_Vector& Right) const;
  math_Vector operator+(const math_Vector& Right) const
{
  return Added(Right);
}


//! sets a vector to the product of the vector <Left> <br>
//!          with the matrix <Right>. <br>
Standard_EXPORT   void Multiply(const math_Vector& Left,const math_Matrix& Right) ;

//!sets a vector to the product of the matrix <Left> <br>
//!         with the vector <Right>. <br>
Standard_EXPORT   void Multiply(const math_Matrix& Left,const math_Vector& Right) ;

//! sets a vector to the product of the transpose <br>
//!           of the matrix <TLeft> by the vector <Right>. <br>
Standard_EXPORT   void TMultiply(const math_Matrix& TLeft,const math_Vector& Right) ;

//! sets a vector to the product of the vector <br>
//!          <Left> by the transpose of the matrix <TRight>. <br>
Standard_EXPORT   void TMultiply(const math_Vector& Left,const math_Matrix& TRight) ;

//! sets a vector to the sum of the vector <Left> <br>
//!          and the vector <Right>. <br>
//! An exception is raised if the lengths are different. <br>
Standard_EXPORT   void Add(const math_Vector& Left,const math_Vector& Right) ;

//! sets a vector to the Subtraction of the <br>
//!           vector <Right> from the vector <Left>. <br>
//! An exception is raised if the vectors have not the same length. <br>
//!  Warning <br>
//! In order to avoid time-consuming copying of vectors, it <br>
//! is preferable to use operator -= or the function <br>
//! Subtract whenever possible. <br>
Standard_EXPORT   void Subtract(const math_Vector& Left,const math_Vector& Right) ;
//! accesses (in read or write mode) the value of index Num of <br>
//!          a vector. <br>
  Standard_Real& Value(const Standard_Integer Num) const;
  Standard_Real& operator()(const Standard_Integer Num) const
{
  return Value(Num);
}


//! Initialises a vector by copying <Other>. <br>
//!          An exception is raised if the Lengths are differents. <br>
Standard_EXPORT   math_Vector& Initialized(const math_Vector& Other) ;
  math_Vector& operator=(const math_Vector& Other) 
{
  return Initialized(Other);
}


//! returns the inner product of 2 vectors. <br>
//! An exception is raised if the lengths are not equal. <br>
Standard_EXPORT   Standard_Real Multiplied(const math_Vector& Right) const;
  Standard_Real operator*(const math_Vector& Right) const
{
  return Multiplied(Right);
}


//! returns the product of a vector by a matrix. <br>
Standard_EXPORT   math_Vector Multiplied(const math_Matrix& Right) const;
  math_Vector operator*(const math_Matrix& Right) const
{
  return Multiplied(Right);
}


//! returns the opposite of a vector. <br>
Standard_EXPORT   math_Vector Opposite() ;
  math_Vector operator-() 
{
  return Opposite();
}


//! returns the subtraction of <Right> from <me>. <br>
//! An exception is raised if the vectors have not the same length. <br>
Standard_EXPORT   void Subtract(const math_Vector& Right) ;
  void operator-=(const math_Vector& Right) 
{
  Subtract(Right);
}


//! returns the subtraction of <Right> from <me>. <br>
//! An exception is raised if the vectors have not the same length. <br>
Standard_EXPORT   math_Vector Subtracted(const math_Vector& Right) const;
  math_Vector operator-(const math_Vector& Right) const
{
  return Subtracted(Right);
}


//! returns the multiplication of a real by a vector. <br>
//!          <me> = <Left> * <Right> <br>
Standard_EXPORT   void Multiply(const Standard_Real Left,const math_Vector& Right) ;

//! Prints information on the current state of the object. <br>
//!          Is used to redefine the operator <<. <br>
Standard_EXPORT   void Dump(Standard_OStream& o) const;


friend class math_Matrix;



protected:

 // Methods PROTECTED
 // 

//! Is used internally to set the Lower value of the vector. <br>
Standard_EXPORT   void SetLower(const Standard_Integer Lower) ;


 // Fields PROTECTED
 //


private: 

 // Methods PRIVATE
 // 


 // Fields PRIVATE
 //
Standard_Integer LowerIndex;
Standard_Integer UpperIndex;
math_SingleTabOfReal Array;


};


#include <math_Vector.lxx>



// other Inline functions and methods (like "C++: function call" methods)
//


#endif