/********************************************************************
AP Library version 1.2.1

Copyright (c) 2003-2007, Sergey Bochkanov (ALGLIB project).
See www.alglib.net or alglib.sources.ru for details.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:

- Redistributions of source code must retain the above copyright
  notice, this list of conditions and the following disclaimer.

- Redistributions in binary form must reproduce the above copyright
  notice, this list of conditions and the following disclaimer listed
  in this license in the documentation and/or other materials
  provided with the distribution.

- Neither the name of the copyright holders nor the names of its
  contributors may be used to endorse or promote products derived from
  this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
********************************************************************/

#ifndef AP_H
#define AP_H

#include <stdlib.h>
#include <string>
#include <math.h>

#if defined(_MSC_VER)
  // Enable MSVC compiler warning messages that are useful but off by default.
# pragma warning ( default : 4263 ) /* no override, call convention differs */
  // Disable MSVC compiler warning messages that often occur in valid code.
# if !defined(VTK_DISPLAY_WIN32_WARNINGS)
#  pragma warning ( disable : 4127 ) /* conditional expression is constant */
# endif
#endif

// MSVC 6.0 in release mode will warn about code it produces with its
// optimizer.  Disable the warnings specifically for this
// configuration.  Real warnings will be revealed by a debug build or
// by other compilers.
#if defined(_MSC_VER) && (_MSC_VER < 1300) && defined(NDEBUG)
# pragma warning ( disable : 4701 ) /* Variable may be used uninitialized.  */
# pragma warning ( disable : 4702 ) /* Unreachable code.  */
#endif

#if defined(__BORLANDC__)
  // Disable Borland compiler warning messages that often occur in valid code.
# if !defined(VTK_DISPLAY_WIN32_WARNINGS)
#  pragma warn -8004 /* assigned a value that is never used */
#  pragma warn -8008 /* condition is always false */
#  pragma warn -8026 /* funcs w/class-by-value args not expanded inline */
#  pragma warn -8027 /* functions w/ do/for/while not expanded inline */
#  pragma warn -8060 /* possibly incorrect assignment */
#  pragma warn -8066 /* unreachable code */
#  pragma warn -8072 /* suspicious pointer arithmetic */
# endif
#endif

/********************************************************************
Array bounds check
********************************************************************/
#define AP_ASSERT

#ifndef AP_ASSERT     //
#define NO_AP_ASSERT  // This code avoids definition of the
#endif                // both AP_ASSERT and NO_AP_ASSERT symbols
#ifdef NO_AP_ASSERT   //
#ifdef AP_ASSERT      //
#undef NO_AP_ASSERT   //
#endif                //
#endif                //


/********************************************************************
Current environment.
********************************************************************/
#ifndef AP_WIN32
#ifndef AP_UNKNOWN
#define AP_UNKNOWN
#endif
#endif
#ifdef AP_WIN32
#ifdef AP_UNKNOWN
#error Multiple environments are declared!
#endif
#endif

/********************************************************************
Windows DLL symbol exports
********************************************************************/
#cmakedefine ALGLIB_SHARED_LIB
#if ! defined(WIN32) && ! defined(_WIN32) && ! defined(__CYGWIN__)
#  define ALGLIB_EXPORT
#else
#  ifdef ALGLIB_SHARED_LIB
#    if defined(vtkalglib_EXPORTS)
#      define ALGLIB_EXPORT __declspec(dllexport)
#    else
#      define ALGLIB_EXPORT __declspec(dllimport)
#    endif
#  else
#    define ALGLIB_EXPORT
#  endif
#endif

/********************************************************************
This symbol is used for debugging. Do not define it and do not remove
comments.
********************************************************************/
//#define UNSAFE_MEM_COPY


/********************************************************************
Namespace of a standard library AlgoPascal.
********************************************************************/
namespace ap
{

/********************************************************************
Service routines:
    amalloc - allocates an aligned block of size bytes
    afree - frees block allocated by amalloc
    vlen - just alias for n2-n1+1
********************************************************************/
ALGLIB_EXPORT void* amalloc(size_t size, size_t alignment);
ALGLIB_EXPORT void afree(void *block);
ALGLIB_EXPORT int vlen(int n1, int n2);

/********************************************************************
Exception class.
********************************************************************/
class ap_error
{
public:
    ap_error(){};
    ap_error(const char *s){ msg = s; };

    std::string msg;

    static void make_assertion(bool bClause)
        { if(!bClause) throw ap_error(); };
    static void make_assertion(bool bClause, const char *msg)
        { if(!bClause) throw ap_error(msg); };
private:
};

/********************************************************************
Class defining a complex number with double precision.
********************************************************************/
class complex;

class ALGLIB_EXPORT complex
{
public:
    complex():x(0.0),y(0.0){};
    complex(const double &_x):x(_x),y(0.0){};
    complex(const double &_x, const double &_y):x(_x),y(_y){};
    complex(const complex &z):x(z.x),y(z.y){};

    complex& operator= (const double& v){ x  = v; y = 0.0; return *this; };
    complex& operator+=(const double& v){ x += v;          return *this; };
    complex& operator-=(const double& v){ x -= v;          return *this; };
    complex& operator*=(const double& v){ x *= v; y *= v;  return *this; };
    complex& operator/=(const double& v){ x /= v; y /= v;  return *this; };

    complex& operator= (const complex& z){ x  = z.x; y  = z.y; return *this; };
    complex& operator+=(const complex& z){ x += z.x; y += z.y; return *this; };
    complex& operator-=(const complex& z){ x -= z.x; y -= z.y; return *this; };
    complex& operator*=(const complex& z){ double t = x*z.x-y*z.y; y = x*z.y+y*z.x; x = t; return *this; };
    complex& operator/=(const complex& z)
    {
        ap::complex result;
        double e;
        double f;
        if( fabs(z.y)<fabs(z.x) )
        {
            e = z.y/z.x;
            f = z.x+z.y*e;
            result.x = (z.x+z.y*e)/f;
            result.y = (z.y-z.x*e)/f;
        }
        else
        {
            e = z.x/z.y;
            f = z.y+z.x*e;
            result.x = (z.y+z.x*e)/f;
            result.y = (-z.x+z.y*e)/f;
        }
        *this = result;
        return *this;
    };

    double x, y;
};

ALGLIB_EXPORT const complex operator/(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT bool operator==(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT bool operator!=(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator+(const complex& lhs);
ALGLIB_EXPORT const complex operator-(const complex& lhs);
ALGLIB_EXPORT const complex operator+(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator+(const complex& lhs, const double& rhs);
ALGLIB_EXPORT const complex operator+(const double& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator-(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator-(const complex& lhs, const double& rhs);
ALGLIB_EXPORT const complex operator-(const double& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator*(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator*(const complex& lhs, const double& rhs);
ALGLIB_EXPORT const complex operator*(const double& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator/(const complex& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator/(const double& lhs, const complex& rhs);
ALGLIB_EXPORT const complex operator/(const complex& lhs, const double& rhs);
ALGLIB_EXPORT double abscomplex(const complex &z);
ALGLIB_EXPORT const complex conj(const complex &z);
ALGLIB_EXPORT const complex csqr(const complex &z);


/********************************************************************
Templates for vector operations
********************************************************************/
#include "alglib/apvt.h"

/********************************************************************
BLAS functions
********************************************************************/
ALGLIB_EXPORT double vdotproduct(const double *v1, const double *v2, int N);
ALGLIB_EXPORT complex vdotproduct(const complex *v1, const complex *v2, int N);

ALGLIB_EXPORT void vmove(double *vdst, const double* vsrc, int N);
ALGLIB_EXPORT void vmove(complex *vdst, const complex* vsrc, int N);

ALGLIB_EXPORT void vmoveneg(double *vdst, const double *vsrc, int N);
ALGLIB_EXPORT void vmoveneg(complex *vdst, const complex *vsrc, int N);

ALGLIB_EXPORT void vmove(double *vdst, const double *vsrc, int N, double alpha);
ALGLIB_EXPORT void vmove(complex *vdst, const complex *vsrc, int N, double alpha);
ALGLIB_EXPORT void vmove(complex *vdst, const complex *vsrc, int N, complex alpha);

ALGLIB_EXPORT void vadd(double *vdst, const double *vsrc, int N);
ALGLIB_EXPORT void vadd(complex *vdst, const complex *vsrc, int N);

ALGLIB_EXPORT void vadd(double *vdst, const double *vsrc, int N, double alpha);
ALGLIB_EXPORT void vadd(complex *vdst, const complex *vsrc, int N, double alpha);
ALGLIB_EXPORT void vadd(complex *vdst, const complex *vsrc, int N, complex alpha);

ALGLIB_EXPORT void vsub(double *vdst, const double *vsrc, int N);
ALGLIB_EXPORT void vsub(complex *vdst, const complex *vsrc, int N);

ALGLIB_EXPORT void vsub(double *vdst, const double *vsrc, int N, double alpha);
ALGLIB_EXPORT void vsub(complex *vdst, const complex *vsrc, int N, double alpha);
ALGLIB_EXPORT void vsub(complex *vdst, const complex *vsrc, int N, complex alpha);

ALGLIB_EXPORT void vmul(double *vdst, int N, double alpha);
ALGLIB_EXPORT void vmul(complex *vdst, int N, double alpha);
ALGLIB_EXPORT void vmul(complex *vdst, int N, complex alpha);


/********************************************************************
Template of a dynamical one-dimensional array
********************************************************************/
template<class T, bool Aligned = false>
class template_1d_array
{
public:
    template_1d_array()
    {
        m_Vec=0;
        m_iVecSize = 0;
        m_iLow = 0;
        m_iHigh = -1;
    };

    ~template_1d_array()
    {
        if(m_Vec)
        {
            if( Aligned )
                ap::afree(m_Vec);
            else
                delete[] m_Vec;
        }
    };

    template_1d_array(const template_1d_array &rhs)
    {
        m_Vec=0;
        m_iVecSize = 0;
        m_iLow = 0;
        m_iHigh = -1;
        if( rhs.m_iVecSize!=0 )
            setcontent(rhs.m_iLow, rhs.m_iHigh, rhs.getcontent());
    };


    const template_1d_array& operator=(const template_1d_array &rhs)
    {
        if( this==&rhs )
            return *this;

        if( rhs.m_iVecSize!=0 )
            setcontent(rhs.m_iLow, rhs.m_iHigh, rhs.getcontent());
        else
        {
            m_Vec=0;
            m_iVecSize = 0;
            m_iLow = 0;
            m_iHigh = -1;
        }
        return *this;
    };


    const T& operator()(int i) const
    {
        #ifndef NO_AP_ASSERT
        ap_error::make_assertion(i>=m_iLow && i<=m_iHigh);
        #endif
        return m_Vec[ i-m_iLow ];
    };


    T& operator()(int i)
    {
        #ifndef NO_AP_ASSERT
        ap_error::make_assertion(i>=m_iLow && i<=m_iHigh);
        #endif
        return m_Vec[ i-m_iLow ];
    };


    void setbounds( int iLow, int iHigh )
    {
        if(m_Vec)
        {
            if( Aligned )
                ap::afree(m_Vec);
            else
                delete[] m_Vec;
        }
        m_iLow = iLow;
        m_iHigh = iHigh;
        m_iVecSize = iHigh-iLow+1;
        if( Aligned )
            m_Vec = (T*)ap::amalloc(m_iVecSize*sizeof(T), 16);
        else
            m_Vec = new T[m_iVecSize];
    };


    void setcontent( int iLow, int iHigh, const T *pContent )
    {
        setbounds(iLow, iHigh);
        for(int i=0; i<m_iVecSize; i++)
            m_Vec[i] = pContent[i];
    };


    T* getcontent()
    {
        return m_Vec;
    };

    const T* getcontent() const
    {
        return m_Vec;
    };


    int getlowbound(int iBoundNum = 0) const
    {
        (void)iBoundNum;
        return m_iLow;
    };


    int gethighbound(int iBoundNum = 0) const
    {
        (void)iBoundNum;
        return m_iHigh;
    };

    raw_vector<T> getvector(int iStart, int iEnd)
    {
        if( iStart>iEnd || wrongIdx(iStart) || wrongIdx(iEnd) )
            return raw_vector<T>(0, 0, 1);
        else
            return raw_vector<T>(m_Vec+iStart-m_iLow, iEnd-iStart+1, 1);
    };


    const_raw_vector<T> getvector(int iStart, int iEnd) const
    {
        if( iStart>iEnd || wrongIdx(iStart) || wrongIdx(iEnd) )
            return const_raw_vector<T>(0, 0, 1);
        else
            return const_raw_vector<T>(m_Vec+iStart-m_iLow, iEnd-iStart+1, 1);
    };
private:
    bool wrongIdx(int i) const { return i<m_iLow || i>m_iHigh; };

    T         *m_Vec;
    long      m_iVecSize;
    long      m_iLow, m_iHigh;
};



/********************************************************************
Template of a dynamical two-dimensional array
********************************************************************/
template<class T, bool Aligned = false>
class template_2d_array
{
public:
    template_2d_array()
    {
        m_Vec=0;
        m_iVecSize=0;
        m_iLow1 = 0;
        m_iHigh1 = -1;
        m_iLow2 = 0;
        m_iHigh2 = -1;
    };

    ~template_2d_array()
    {
        if(m_Vec)
        {
            if( Aligned )
                ap::afree(m_Vec);
            else
                delete[] m_Vec;
        }
    };

    template_2d_array(const template_2d_array &rhs)
    {
        m_Vec=0;
        m_iVecSize=0;
        m_iLow1 = 0;
        m_iHigh1 = -1;
        m_iLow2 = 0;
        m_iHigh2 = -1;
        if( rhs.m_iVecSize!=0 )
        {
            setbounds(rhs.m_iLow1, rhs.m_iHigh1, rhs.m_iLow2, rhs.m_iHigh2);
            for(int i=m_iLow1; i<=m_iHigh1; i++)
                vmove(&(operator()(i,m_iLow2)), &(rhs(i,m_iLow2)), m_iHigh2-m_iLow2+1);
        }
    };
    const template_2d_array& operator=(const template_2d_array &rhs)
    {
        if( this==&rhs )
            return *this;

        if( rhs.m_iVecSize!=0 )
        {
            setbounds(rhs.m_iLow1, rhs.m_iHigh1, rhs.m_iLow2, rhs.m_iHigh2);
            for(int i=m_iLow1; i<=m_iHigh1; i++)
                vmove(&(operator()(i,m_iLow2)), &(rhs(i,m_iLow2)), m_iHigh2-m_iLow2+1);
        }
        else
        {
            m_Vec=0;
            m_iVecSize=0;
            m_iLow1 = 0;
            m_iHigh1 = -1;
            m_iLow2 = 0;
            m_iHigh2 = -1;
        }
        return *this;
    };

    const T& operator()(int i1, int i2) const
    {
        #ifndef NO_AP_ASSERT
        ap_error::make_assertion(i1>=m_iLow1 && i1<=m_iHigh1);
        ap_error::make_assertion(i2>=m_iLow2 && i2<=m_iHigh2);
        #endif
        return m_Vec[ m_iConstOffset + i2 +i1*m_iLinearMember];
    };

    T& operator()(int i1, int i2)
    {
        #ifndef NO_AP_ASSERT
        ap_error::make_assertion(i1>=m_iLow1 && i1<=m_iHigh1);
        ap_error::make_assertion(i2>=m_iLow2 && i2<=m_iHigh2);
        #endif
        return m_Vec[ m_iConstOffset + i2 +i1*m_iLinearMember];
    };

    void setbounds( int iLow1, int iHigh1, int iLow2, int iHigh2 )
    {
        if(m_Vec)
        {
            if( Aligned )
                ap::afree(m_Vec);
            else
                delete[] m_Vec;
        }
        int n1 = iHigh1-iLow1+1;
        int n2 = iHigh2-iLow2+1;
        m_iVecSize = n1*n2;
        if( Aligned )
        {
            //if( n2%2!=0 )
            while( (n2*sizeof(T))%16!=0 )
            {
                n2++;
                m_iVecSize += n1;
            }
            m_Vec = (T*)ap::amalloc(m_iVecSize*sizeof(T), 16);
        }
        else
            m_Vec = new T[m_iVecSize];
        m_iLow1  = iLow1;
        m_iHigh1 = iHigh1;
        m_iLow2  = iLow2;
        m_iHigh2 = iHigh2;
        m_iConstOffset = -m_iLow2-m_iLow1*n2;
        m_iLinearMember = n2;
    };

    void setcontent( int iLow1, int iHigh1, int iLow2, int iHigh2, const T *pContent )
    {
        setbounds(iLow1, iHigh1, iLow2, iHigh2);
        for(int i=m_iLow1; i<=m_iHigh1; i++, pContent += m_iHigh2-m_iLow2+1)
            vmove(&(operator()(i,m_iLow2)), pContent, m_iHigh2-m_iLow2+1);
    };

    int getlowbound(int iBoundNum) const
    {
        return iBoundNum==1 ? m_iLow1 : m_iLow2;
    };

    int gethighbound(int iBoundNum) const
    {
        return iBoundNum==1 ? m_iHigh1 : m_iHigh2;
    };

    raw_vector<T> getcolumn(int iColumn, int iRowStart, int iRowEnd)
    {
        if( (iRowStart>iRowEnd) || wrongColumn(iColumn) || wrongRow(iRowStart) ||wrongRow(iRowEnd) )
            return raw_vector<T>(0, 0, 1);
        else
            return raw_vector<T>(&((*this)(iRowStart, iColumn)), iRowEnd-iRowStart+1, m_iLinearMember);
    };

    raw_vector<T> getrow(int iRow, int iColumnStart, int iColumnEnd)
    {
        if( (iColumnStart>iColumnEnd) || wrongRow(iRow) || wrongColumn(iColumnStart) || wrongColumn(iColumnEnd))
            return raw_vector<T>(0, 0, 1);
        else
            return raw_vector<T>(&((*this)(iRow, iColumnStart)), iColumnEnd-iColumnStart+1, 1);
    };

    const_raw_vector<T> getcolumn(int iColumn, int iRowStart, int iRowEnd) const
    {
        if( (iRowStart>iRowEnd) || wrongColumn(iColumn) || wrongRow(iRowStart) ||wrongRow(iRowEnd) )
            return const_raw_vector<T>(0, 0, 1);
        else
            return const_raw_vector<T>(&((*this)(iRowStart, iColumn)), iRowEnd-iRowStart+1, m_iLinearMember);
    };

    const_raw_vector<T> getrow(int iRow, int iColumnStart, int iColumnEnd) const
    {
        if( (iColumnStart>iColumnEnd) || wrongRow(iRow) || wrongColumn(iColumnStart) || wrongColumn(iColumnEnd))
            return const_raw_vector<T>(0, 0, 1);
        else
            return const_raw_vector<T>(&((*this)(iRow, iColumnStart)), iColumnEnd-iColumnStart+1, 1);
    };
private:
    bool wrongRow(int i) const { return i<m_iLow1 || i>m_iHigh1; };
    bool wrongColumn(int j) const { return j<m_iLow2 || j>m_iHigh2; };

    T           *m_Vec;
    long        m_iVecSize;
    long        m_iLow1, m_iLow2, m_iHigh1, m_iHigh2;
    long        m_iConstOffset, m_iLinearMember;
};


typedef template_1d_array<int>          integer_1d_array;
typedef template_1d_array<double,true>  real_1d_array;
typedef template_1d_array<complex>      complex_1d_array;
typedef template_1d_array<bool>         boolean_1d_array;

typedef template_2d_array<int>          integer_2d_array;
typedef template_2d_array<double,true>  real_2d_array;
typedef template_2d_array<complex>      complex_2d_array;
typedef template_2d_array<bool>         boolean_2d_array;


/********************************************************************
Constants and functions introduced for compatibility with AlgoPascal
********************************************************************/
extern const double machineepsilon;
extern const double maxrealnumber;
extern const double minrealnumber;

ALGLIB_EXPORT int sign(double x);
ALGLIB_EXPORT double randomreal();
ALGLIB_EXPORT int randominteger(int maxv);
ALGLIB_EXPORT int round(double x);
ALGLIB_EXPORT int trunc(double x);
ALGLIB_EXPORT int ifloor(double x);
ALGLIB_EXPORT int iceil(double x);
ALGLIB_EXPORT double pi();
ALGLIB_EXPORT double sqr(double x);
ALGLIB_EXPORT int maxint(int m1, int m2);
ALGLIB_EXPORT int minint(int m1, int m2);
ALGLIB_EXPORT double maxreal(double m1, double m2);
ALGLIB_EXPORT double minreal(double m1, double m2);

};//namespace ap


#endif