src/common/matrix.cpp

// Name:        matrix.cpp
// Purpose:     wxTransformMatrix class
// Author:      Chris Breeze, Julian Smart
// Modified by: Klaas Holwerda
// Created:     01/02/97
// RCS-ID:      $Id$
// Copyright:   (c) Julian Smart and Markus Holzem
// Licence:     wxWindows licence
/////////////////////////////////////////////////////////////////////////////

#ifdef __GNUG__
#pragma implementation "matrix.h"
#endif

// Note: this is intended to be used in wxDC at some point to replace
// the current system of scaling/translation. It is not yet used.

// For compilers that support precompilation, includes "wx.h".
#include "wx/wxprec.h"

#ifdef __BORLANDC__
#pragma hdrstop
#endif

#ifndef WX_PRECOMP
#include "wx/defs.h"
#endif

#include "wx/matrix.h"
#include <math.h>

static const double pi = 3.1415926535;

wxTransformMatrix::wxTransformMatrix(void)
{
    m_isIdentity = FALSE;

    Identity();
}

wxTransformMatrix::wxTransformMatrix(const wxTransformMatrix& mat)
{
    (*this) = mat;
}

double wxTransformMatrix::GetValue(int col, int row) const
{
    if (row < 0 || row > 2 || col < 0 || col > 2)
        return 0.0;

    return m_matrix[col][row];
}

void wxTransformMatrix::SetValue(int col, int row, double value)
{
    if (row < 0 || row > 2 || col < 0 || col > 2)
        return;

    m_matrix[col][row] = value;
    m_isIdentity = IsIdentity1();
}

void wxTransformMatrix::operator = (const wxTransformMatrix& mat)
{
    int i, j;
    for (i = 0; i < 3; i++)
    {
        for (j = 0; j < 3; j++)
        {
            m_matrix[i][j] = mat.m_matrix[i][j];
        }
    }
    m_isIdentity = mat.m_isIdentity;
}

bool wxTransformMatrix::operator == (const wxTransformMatrix& mat)
{
    if (m_isIdentity==TRUE && mat.m_isIdentity==TRUE)
        return TRUE;

    int i, j;
    for (i = 0; i < 3; i++)
    {
        for (j = 0; j < 3; j++)
        {
            if (m_matrix[i][j] != mat.m_matrix[i][j])
                return FALSE;
        }
    }
    return TRUE;
}

bool wxTransformMatrix::operator != (const wxTransformMatrix& mat)
{
    return (! ((*this) == mat));
}

double& wxTransformMatrix::operator()(int col, int row)
{
    if (row < 0 || row > 2 || col < 0 || col > 2)
        return m_matrix[0][0];

    return m_matrix[col][row];
}

double wxTransformMatrix::operator()(int col, int row) const
{
    if (row < 0 || row > 2 || col < 0 || col > 2)
        return 0.0;

    return m_matrix[col][row];
}

// Invert matrix
bool wxTransformMatrix::Invert(void)
{
    double inverseMatrix[3][3];

    // calculate the adjoint
    inverseMatrix[0][0] =  wxCalculateDet(m_matrix[1][1],m_matrix[2][1],m_matrix[1][2],m_matrix[2][2]);
    inverseMatrix[0][1] = -wxCalculateDet(m_matrix[0][1],m_matrix[2][1],m_matrix[0][2],m_matrix[2][2]);
    inverseMatrix[0][2] =  wxCalculateDet(m_matrix[0][1],m_matrix[1][1],m_matrix[0][2],m_matrix[1][2]);

    inverseMatrix[1][0] = -wxCalculateDet(m_matrix[1][0],m_matrix[2][0],m_matrix[1][2],m_matrix[2][2]);
    inverseMatrix[1][1] =  wxCalculateDet(m_matrix[0][0],m_matrix[2][0],m_matrix[0][2],m_matrix[2][2]);
    inverseMatrix[1][2] = -wxCalculateDet(m_matrix[0][0],m_matrix[1][0],m_matrix[0][2],m_matrix[1][2]);

    inverseMatrix[2][0] =  wxCalculateDet(m_matrix[1][0],m_matrix[2][0],m_matrix[1][1],m_matrix[2][1]);
    inverseMatrix[2][1] = -wxCalculateDet(m_matrix[0][0],m_matrix[2][0],m_matrix[0][1],m_matrix[2][1]);
    inverseMatrix[2][2] =  wxCalculateDet(m_matrix[0][0],m_matrix[1][0],m_matrix[0][1],m_matrix[1][1]);

    // now divide by the determinant
    double det = m_matrix[0][0] * inverseMatrix[0][0] + m_matrix[0][1] * inverseMatrix[1][0] + m_matrix[0][2] * inverseMatrix[2][0];
    if (det != 0.0)
    {
        inverseMatrix[0][0] /= det; inverseMatrix[1][0] /= det; inverseMatrix[2][0] /= det;
        inverseMatrix[0][1] /= det; inverseMatrix[1][1] /= det; inverseMatrix[2][1] /= det;
        inverseMatrix[0][2] /= det; inverseMatrix[1][2] /= det; inverseMatrix[2][2] /= det;

        int i, j;
        for (i = 0; i < 3; i++)
        {
            for (j = 0; j < 3; j++)
            {
                m_matrix[i][j] = inverseMatrix[i][j];
            }
        }
        m_isIdentity = IsIdentity1();
        return TRUE;
    }
    else
    {
        return FALSE;
    }
}

// Make into identity matrix
bool wxTransformMatrix::Identity(void)
{
    m_matrix[0][0] = m_matrix[1][1] = m_matrix[2][2] = 1.0;
    m_matrix[1][0] = m_matrix[2][0] = m_matrix[0][1] = m_matrix[2][1] = m_matrix[0][2] = m_matrix[1][2] = 0.0;
    m_isIdentity = TRUE;

    return TRUE;
}

// Scale by scale (isotropic scaling i.e. the same in x and y):
//           | scale  0      0      |
// matrix' = |  0     scale  0      | x matrix
//           |  0     0      scale  |
//
bool wxTransformMatrix::Scale(double scale)
{
    int i, j;
    for (i = 0; i < 3; i++)
    {
        for (j = 0; j < 3; j++)
        {
            m_matrix[i][j] *= scale;
        }
    }
    m_isIdentity = IsIdentity1();

    return TRUE;
}


// scale a matrix in 2D
//
//     xs    0      xc(1-xs)
//     0    ys      yc(1-ys)
//     0     0      1
//
wxTransformMatrix&  wxTransformMatrix::Scale(const double &xs, const double &ys,const double &xc, const double &yc)
{
    double r00,r10,r20,r01,r11,r21;

    if (m_isIdentity)
    {
        double tx  =xc*(1-xs);
        double ty  =yc*(1-ys);
        r00 = xs;
        r10 = 0;
        r20 = tx;
        r01 = 0;
        r11 = ys;
        r21 = ty;
    }
    else if (xc!=0 || yc!=0)
    {
        double tx  =xc*(1-xs);
        double ty  =yc*(1-ys);
        r00 = xs * m_matrix[0][0];
        r10 = xs * m_matrix[1][0];
        r20 = xs * m_matrix[2][0] + tx;
        r01 = ys * m_matrix[0][1];
        r11 = ys * m_matrix[1][1];
        r21 = ys * m_matrix[2][1] + ty;
    }
    else
    {
        r00 = xs * m_matrix[0][0];
        r10 = xs * m_matrix[1][0];
        r20 = xs * m_matrix[2][0];
        r01 = ys * m_matrix[0][1];
        r11 = ys * m_matrix[1][1];
        r21 = ys * m_matrix[2][1];
    }

    m_matrix[0][0] = r00;
    m_matrix[1][0] = r10;
    m_matrix[2][0] = r20;
    m_matrix[0][1] = r01;
    m_matrix[1][1] = r11;
    m_matrix[2][1] = r21;

/* or like this
    // first translate to origin O
    (*this).Translate(-x_cen, -y_cen);

    // now do the scaling
    wxTransformMatrix scale;
    scale.m_matrix[0][0] = x_fac;
    scale.m_matrix[1][1] = y_fac;
   scale.m_isIdentity = IsIdentity1();

    *this = scale * (*this);

    // translate back from origin to x_cen, y_cen
    (*this).Translate(x_cen, y_cen);
*/

    m_isIdentity = IsIdentity1();

    return *this;
}


// mirror a matrix in x, y
//
//     -1      0      0     Y-mirror
//      0     -1      0     X-mirror
//      0      0     -1     Z-mirror
wxTransformMatrix&  wxTransformMatrix::Mirror(bool x, bool y)
{
    wxTransformMatrix temp;
    if (x)
    {
        temp.m_matrix[1][1] = -1;
        temp.m_isIdentity=FALSE;
    }
    if (y)
    {
        temp.m_matrix[0][0] = -1;
        temp.m_isIdentity=FALSE;
    }

    *this = temp * (*this);
    m_isIdentity = IsIdentity1();
    return *this;
}

// Translate by dx, dy:
//           | 1  0 dx |
// matrix' = | 0  1 dy | x matrix
//           | 0  0  1 |
//
bool wxTransformMatrix::Translate(double dx, double dy)
{
    int i;
    for (i = 0; i < 3; i++)
        m_matrix[i][0] += dx * m_matrix[i][2];
    for (i = 0; i < 3; i++)
        m_matrix[i][1] += dy * m_matrix[i][2];

    m_isIdentity = IsIdentity1();

    return TRUE;
}

// Rotate clockwise by the given number of degrees:
//           |  cos sin 0 |
// matrix' = | -sin cos 0 | x matrix
//           |   0   0  1 |
bool wxTransformMatrix::Rotate(double degrees)
{
    Rotate(-degrees,0,0);
    return TRUE;
}

// counter clockwise rotate around a point
//
//  cos(r) -sin(r)    x(1-cos(r))+y(sin(r)
//  sin(r)  cos(r)    y(1-cos(r))-x(sin(r)
//    0      0        1
wxTransformMatrix&  wxTransformMatrix::Rotate(const double &degrees, const double &x, const double &y)
{
    double angle = degrees * pi / 180.0;
    double c = cos(angle);
    double s = sin(angle);
    double r00,r10,r20,r01,r11,r21;

    if (m_isIdentity)
    {
        double tx  = x*(1-c)+y*s;
        double ty  = y*(1-c)-x*s;
        r00 = c ;
        r10 = -s;
        r20 = tx;
        r01 = s;
        r11 = c;
        r21 = ty;
    }
    else if (x!=0 || y!=0)
    {
        double tx  = x*(1-c)+y*s;
        double ty  = y*(1-c)-x*s;
        r00 = c * m_matrix[0][0] - s * m_matrix[0][1] + tx * m_matrix[0][2];
        r10 = c * m_matrix[1][0] - s * m_matrix[1][1] + tx * m_matrix[1][2];
        r20 = c * m_matrix[2][0] - s * m_matrix[2][1] + tx;// * m_matrix[2][2];
        r01 = c * m_matrix[0][1] + s * m_matrix[0][0] + ty * m_matrix[0][2];
        r11 = c * m_matrix[1][1] + s * m_matrix[1][0] + ty * m_matrix[1][2];
        r21 = c * m_matrix[2][1] + s * m_matrix[2][0] + ty;// * m_matrix[2][2];
    }
    else
    {
        r00 = c * m_matrix[0][0] - s * m_matrix[0][1];
        r10 = c * m_matrix[1][0] - s * m_matrix[1][1];
        r20 = c * m_matrix[2][0] - s * m_matrix[2][1];
        r01 = c * m_matrix[0][1] + s * m_matrix[0][0];
        r11 = c * m_matrix[1][1] + s * m_matrix[1][0];
        r21 = c * m_matrix[2][1] + s * m_matrix[2][0];
    }

    m_matrix[0][0] = r00;
    m_matrix[1][0] = r10;
    m_matrix[2][0] = r20;
    m_matrix[0][1] = r01;
    m_matrix[1][1] = r11;
    m_matrix[2][1] = r21;

/* or like this
    wxTransformMatrix rotate;
    rotate.m_matrix[2][0] = tx;
    rotate.m_matrix[2][1] = ty;

    rotate.m_matrix[0][0] = c;
    rotate.m_matrix[0][1] = s;

    rotate.m_matrix[1][0] = -s;
    rotate.m_matrix[1][1] = c;

   rotate.m_isIdentity=false;
   *this = rotate * (*this);
*/
    m_isIdentity = IsIdentity1();

    return *this;
}

// Transform a point from logical to device coordinates
bool wxTransformMatrix::TransformPoint(double x, double y, double& tx, double& ty) const
{
    if (IsIdentity())
    {
        tx = x; ty = y; return TRUE;
    }

    tx = x * m_matrix[0][0] + y * m_matrix[1][0] + m_matrix[2][0];
    ty = x * m_matrix[0][1] + y * m_matrix[1][1] + m_matrix[2][1];

    return TRUE;
}

// Transform a point from device to logical coordinates.

// Example of use:
//   wxTransformMatrix mat = dc.GetTransformation();
//   mat.Invert();
//   mat.InverseTransformPoint(x, y, x1, y1);
// OR (shorthand:)
//   dc.LogicalToDevice(x, y, x1, y1);
// The latter is slightly less efficient if we're doing several
// conversions, since the matrix is inverted several times.
bool wxTransformMatrix::InverseTransformPoint(double x, double y, double& tx, double& ty) const
{
    if (IsIdentity())
    {
        tx = x; ty = y; return TRUE;
    }

    double z = (1.0 - m_matrix[0][2] * x - m_matrix[1][2] * y) / m_matrix[2][2];
    if (z == 0.0)
    {
//      z = 0.0000001;
        return FALSE;
    }
    tx = x * m_matrix[0][0] + y * m_matrix[1][0] + z * m_matrix[2][0];
    ty = x * m_matrix[0][1] + y * m_matrix[1][1] + z * m_matrix[2][1];
    return TRUE;
}

wxTransformMatrix& wxTransformMatrix::operator*=(const double& t)
{
    for (int i = 0; i < 3; i++)
        for (int j = 0; j < 3; j++)
            m_matrix[i][j]*= t;
    m_isIdentity = IsIdentity1();
    return *this;
}

wxTransformMatrix& wxTransformMatrix::operator/=(const double& t)
{
    for (int i = 0; i < 3; i++)
        for (int j = 0; j < 3; j++)
            m_matrix[i][j]/= t;
    m_isIdentity = IsIdentity1();
    return *this;
}

wxTransformMatrix& wxTransformMatrix::operator+=(const wxTransformMatrix& mat)
{
    for (int i = 0; i < 3; i++)
        for (int j = 0; j < 3; j++)
            m_matrix[i][j] += mat.m_matrix[i][j];
    m_isIdentity = IsIdentity1();
    return *this;
}

wxTransformMatrix& wxTransformMatrix::operator-=(const wxTransformMatrix& mat)
{
    for (int i = 0; i < 3; i++)
        for (int j = 0; j < 3; j++)
            m_matrix[i][j] -= mat.m_matrix[i][j];
    m_isIdentity = IsIdentity1();
    return *this;
}

wxTransformMatrix& wxTransformMatrix::operator*=(const wxTransformMatrix& mat)
{

    if (mat.m_isIdentity)
        return *this;
    if (m_isIdentity)
    {
        *this = mat;
        return *this;
    }
    else
    {
        wxTransformMatrix  result;
        for (int i = 0; i < 3; i++)
        {
           for (int j = 0; j < 3; j++)
           {
               double sum = 0;
               for (int k = 0; k < 3; k++)
                   sum += m_matrix[k][i] * mat.m_matrix[j][k];
               result.m_matrix[j][i] = sum;
           }
        }
        *this = result;
    }

    m_isIdentity = IsIdentity1();
    return *this;
}


// constant operators
wxTransformMatrix  wxTransformMatrix::operator*(const double& t) const
{
    wxTransformMatrix result = *this;
    result *= t;
    result.m_isIdentity = result.IsIdentity1();
    return result;
}

wxTransformMatrix  wxTransformMatrix::operator/(const double& t) const
{
    wxTransformMatrix result = *this;
//    wxASSERT(t!=0);
    result /= t;
    result.m_isIdentity = result.IsIdentity1();
    return result;
}

wxTransformMatrix  wxTransformMatrix::operator+(const wxTransformMatrix& m) const
{
    wxTransformMatrix result = *this;
    result += m;
    result.m_isIdentity = result.IsIdentity1();
    return result;
}

wxTransformMatrix  wxTransformMatrix::operator-(const wxTransformMatrix& m) const
{
    wxTransformMatrix result = *this;
    result -= m;
    result.m_isIdentity = result.IsIdentity1();
    return result;
}


wxTransformMatrix  wxTransformMatrix::operator*(const wxTransformMatrix& m) const
{
    wxTransformMatrix result = *this;
    result *= m;
    result.m_isIdentity = result.IsIdentity1();
    return result;
}


wxTransformMatrix  wxTransformMatrix::operator-() const
{
    wxTransformMatrix result = *this;
    for (int i = 0; i < 3; i++)
        for (int j = 0; j < 3; j++)
            result.m_matrix[i][j] = -(this->m_matrix[i][j]);
    result.m_isIdentity = result.IsIdentity1();
    return result;
}

static double CheckInt(double getal)
{
    // check if the number is very close to an integer
    if ( (ceil(getal) - getal) < 0.0001)
        return ceil(getal);

    else if ( (getal - floor(getal)) < 0.0001)
        return floor(getal);

    return getal;

}

double wxTransformMatrix::Get_scaleX()
{
    double scale_factor;
    double rot_angle = CheckInt(atan2(m_matrix[1][0],m_matrix[0][0])*180/pi);
    if (rot_angle != 90 && rot_angle != -90)
        scale_factor = m_matrix[0][0]/cos((rot_angle/180)*pi);
    else
        scale_factor = m_matrix[0][0]/sin((rot_angle/180)*pi);  // er kan nl. niet door 0 gedeeld worden !

    scale_factor = CheckInt(scale_factor);
    if (scale_factor < 0)
        scale_factor = -scale_factor;

    return scale_factor;
}

double wxTransformMatrix::Get_scaleY()
{
    double scale_factor;
    double rot_angle = CheckInt(atan2(m_matrix[1][0],m_matrix[0][0])*180/pi);
    if (rot_angle != 90 && rot_angle != -90)
       scale_factor = m_matrix[1][1]/cos((rot_angle/180)*pi);
    else
       scale_factor = m_matrix[1][1]/sin((rot_angle/180)*pi);   // er kan nl. niet door 0 gedeeld worden !

    scale_factor = CheckInt(scale_factor);
    if (scale_factor < 0)

        scale_factor = -scale_factor;

    return scale_factor;

}

double wxTransformMatrix::GetRotation()
{
    double temp1 = GetValue(0,0);   // for angle calculation
    double temp2 = GetValue(0,1);   //

    // Rotation
    double rot_angle = atan2(temp2,temp1)*180/pi;

    rot_angle = CheckInt(rot_angle);
    return rot_angle;
}

void wxTransformMatrix::SetRotation(double rotation)
{
    double x=GetValue(2,0);
    double y=GetValue(2,1);
    Rotate(-GetRotation(), x, y);
    Rotate(rotation, x, y);
}
Commit	Line	Data
	1	// Name: matrix.cpp
	2	// Purpose: wxTransformMatrix class
	3	// Author: Chris Breeze, Julian Smart
	4	// Modified by: Klaas Holwerda
	5	// Created: 01/02/97
	6	// RCS-ID: $Id$
	7	// Copyright: (c) Julian Smart and Markus Holzem
	8	// Licence: wxWindows licence
	9	/////////////////////////////////////////////////////////////////////////////
	10
	11	#ifdef __GNUG__
	12	#pragma implementation "matrix.h"
	13	#endif
	14
	15	// Note: this is intended to be used in wxDC at some point to replace
	16	// the current system of scaling/translation. It is not yet used.
	17
	18	// For compilers that support precompilation, includes "wx.h".
	19	#include "wx/wxprec.h"
	20
	21	#ifdef __BORLANDC__
	22	#pragma hdrstop
	23	#endif
	24
	25	#ifndef WX_PRECOMP
	26	#include "wx/defs.h"
	27	#endif
	28
	29	#include "wx/matrix.h"
	30	#include <math.h>
	31
	32	static const double pi = 3.1415926535;
	33
	34	wxTransformMatrix::wxTransformMatrix(void)
	35	{
	36	m_isIdentity = FALSE;
	37
	38	Identity();
	39	}
	40
	41	wxTransformMatrix::wxTransformMatrix(const wxTransformMatrix& mat)
	42	{
	43	(*this) = mat;
	44	}
	45
	46	double wxTransformMatrix::GetValue(int col, int row) const
	47	{
	48	if (row < 0 \|\| row > 2 \|\| col < 0 \|\| col > 2)
	49	return 0.0;
	50
	51	return m_matrix[col][row];
	52	}
	53
	54	void wxTransformMatrix::SetValue(int col, int row, double value)
	55	{
	56	if (row < 0 \|\| row > 2 \|\| col < 0 \|\| col > 2)
	57	return;
	58
	59	m_matrix[col][row] = value;
	60	m_isIdentity = IsIdentity1();
	61	}
	62
	63	void wxTransformMatrix::operator = (const wxTransformMatrix& mat)
	64	{
	65	int i, j;
	66	for (i = 0; i < 3; i++)
	67	{
	68	for (j = 0; j < 3; j++)
	69	{
	70	m_matrix[i][j] = mat.m_matrix[i][j];
	71	}
	72	}
	73	m_isIdentity = mat.m_isIdentity;
	74	}
	75
	76	bool wxTransformMatrix::operator == (const wxTransformMatrix& mat)
	77	{
	78	if (m_isIdentity==TRUE && mat.m_isIdentity==TRUE)
	79	return TRUE;
	80
	81	int i, j;
	82	for (i = 0; i < 3; i++)
	83	{
	84	for (j = 0; j < 3; j++)
	85	{
	86	if (m_matrix[i][j] != mat.m_matrix[i][j])
	87	return FALSE;
	88	}
	89	}
	90	return TRUE;
	91	}
	92
	93	bool wxTransformMatrix::operator != (const wxTransformMatrix& mat)
	94	{
	95	return (! ((*this) == mat));
	96	}
	97
	98	double& wxTransformMatrix::operator()(int col, int row)
	99	{
	100	if (row < 0 \|\| row > 2 \|\| col < 0 \|\| col > 2)
	101	return m_matrix[0][0];
	102
	103	return m_matrix[col][row];
	104	}
	105
	106	double wxTransformMatrix::operator()(int col, int row) const
	107	{
	108	if (row < 0 \|\| row > 2 \|\| col < 0 \|\| col > 2)
	109	return 0.0;
	110
	111	return m_matrix[col][row];
	112	}
	113
	114	// Invert matrix
	115	bool wxTransformMatrix::Invert(void)
	116	{
	117	double inverseMatrix[3][3];
	118
	119	// calculate the adjoint
	120	inverseMatrix[0][0] = wxCalculateDet(m_matrix[1][1],m_matrix[2][1],m_matrix[1][2],m_matrix[2][2]);
	121	inverseMatrix[0][1] = -wxCalculateDet(m_matrix[0][1],m_matrix[2][1],m_matrix[0][2],m_matrix[2][2]);
	122	inverseMatrix[0][2] = wxCalculateDet(m_matrix[0][1],m_matrix[1][1],m_matrix[0][2],m_matrix[1][2]);
	123
	124	inverseMatrix[1][0] = -wxCalculateDet(m_matrix[1][0],m_matrix[2][0],m_matrix[1][2],m_matrix[2][2]);
	125	inverseMatrix[1][1] = wxCalculateDet(m_matrix[0][0],m_matrix[2][0],m_matrix[0][2],m_matrix[2][2]);
	126	inverseMatrix[1][2] = -wxCalculateDet(m_matrix[0][0],m_matrix[1][0],m_matrix[0][2],m_matrix[1][2]);
	127
	128	inverseMatrix[2][0] = wxCalculateDet(m_matrix[1][0],m_matrix[2][0],m_matrix[1][1],m_matrix[2][1]);
	129	inverseMatrix[2][1] = -wxCalculateDet(m_matrix[0][0],m_matrix[2][0],m_matrix[0][1],m_matrix[2][1]);
	130	inverseMatrix[2][2] = wxCalculateDet(m_matrix[0][0],m_matrix[1][0],m_matrix[0][1],m_matrix[1][1]);
	131
	132	// now divide by the determinant
	133	double det = m_matrix[0][0] * inverseMatrix[0][0] + m_matrix[0][1] * inverseMatrix[1][0] + m_matrix[0][2] * inverseMatrix[2][0];
	134	if (det != 0.0)
	135	{
	136	inverseMatrix[0][0] /= det; inverseMatrix[1][0] /= det; inverseMatrix[2][0] /= det;
	137	inverseMatrix[0][1] /= det; inverseMatrix[1][1] /= det; inverseMatrix[2][1] /= det;
	138	inverseMatrix[0][2] /= det; inverseMatrix[1][2] /= det; inverseMatrix[2][2] /= det;
	139
	140	int i, j;
	141	for (i = 0; i < 3; i++)
	142	{
	143	for (j = 0; j < 3; j++)
	144	{
	145	m_matrix[i][j] = inverseMatrix[i][j];
	146	}
	147	}
	148	m_isIdentity = IsIdentity1();
	149	return TRUE;
	150	}
	151	else
	152	{
	153	return FALSE;
	154	}
	155	}
	156
	157	// Make into identity matrix
	158	bool wxTransformMatrix::Identity(void)
	159	{
	160	m_matrix[0][0] = m_matrix[1][1] = m_matrix[2][2] = 1.0;
	161	m_matrix[1][0] = m_matrix[2][0] = m_matrix[0][1] = m_matrix[2][1] = m_matrix[0][2] = m_matrix[1][2] = 0.0;
	162	m_isIdentity = TRUE;
	163
	164	return TRUE;
	165	}
	166
	167	// Scale by scale (isotropic scaling i.e. the same in x and y):
	168	// \| scale 0 0 \|
	169	// matrix' = \| 0 scale 0 \| x matrix
	170	// \| 0 0 scale \|
	171	//
	172	bool wxTransformMatrix::Scale(double scale)
	173	{
	174	int i, j;
	175	for (i = 0; i < 3; i++)
	176	{
	177	for (j = 0; j < 3; j++)
	178	{
	179	m_matrix[i][j] *= scale;
	180	}
	181	}
	182	m_isIdentity = IsIdentity1();
	183
	184	return TRUE;
	185	}
	186
	187
	188	// scale a matrix in 2D
	189	//
	190	// xs 0 xc(1-xs)
	191	// 0 ys yc(1-ys)
	192	// 0 0 1
	193	//
	194	wxTransformMatrix& wxTransformMatrix::Scale(const double &xs, const double &ys,const double &xc, const double &yc)
	195	{
	196	double r00,r10,r20,r01,r11,r21;
	197
	198	if (m_isIdentity)
	199	{
	200	double tx =xc*(1-xs);
	201	double ty =yc*(1-ys);
	202	r00 = xs;
	203	r10 = 0;
	204	r20 = tx;
	205	r01 = 0;
	206	r11 = ys;
	207	r21 = ty;
	208	}
	209	else if (xc!=0 \|\| yc!=0)
	210	{
	211	double tx =xc*(1-xs);
	212	double ty =yc*(1-ys);
	213	r00 = xs * m_matrix[0][0];
	214	r10 = xs * m_matrix[1][0];
	215	r20 = xs * m_matrix[2][0] + tx;
	216	r01 = ys * m_matrix[0][1];
	217	r11 = ys * m_matrix[1][1];
	218	r21 = ys * m_matrix[2][1] + ty;
	219	}
	220	else
	221	{
	222	r00 = xs * m_matrix[0][0];
	223	r10 = xs * m_matrix[1][0];
	224	r20 = xs * m_matrix[2][0];
	225	r01 = ys * m_matrix[0][1];
	226	r11 = ys * m_matrix[1][1];
	227	r21 = ys * m_matrix[2][1];
	228	}
	229
	230	m_matrix[0][0] = r00;
	231	m_matrix[1][0] = r10;
	232	m_matrix[2][0] = r20;
	233	m_matrix[0][1] = r01;
	234	m_matrix[1][1] = r11;
	235	m_matrix[2][1] = r21;
	236
	237	/* or like this
	238	// first translate to origin O
	239	(*this).Translate(-x_cen, -y_cen);
	240
	241	// now do the scaling
	242	wxTransformMatrix scale;
	243	scale.m_matrix[0][0] = x_fac;
	244	scale.m_matrix[1][1] = y_fac;
	245	scale.m_isIdentity = IsIdentity1();
	246
	247	this = scale (*this);
	248
	249	// translate back from origin to x_cen, y_cen
	250	(*this).Translate(x_cen, y_cen);
	251	*/
	252
	253	m_isIdentity = IsIdentity1();
	254
	255	return *this;
	256	}
	257
	258
	259	// mirror a matrix in x, y
	260	//
	261	// -1 0 0 Y-mirror
	262	// 0 -1 0 X-mirror
	263	// 0 0 -1 Z-mirror
	264	wxTransformMatrix& wxTransformMatrix::Mirror(bool x, bool y)
	265	{
	266	wxTransformMatrix temp;
	267	if (x)
	268	{
	269	temp.m_matrix[1][1] = -1;
	270	temp.m_isIdentity=FALSE;
	271	}
	272	if (y)
	273	{
	274	temp.m_matrix[0][0] = -1;
	275	temp.m_isIdentity=FALSE;
	276	}
	277
	278	this = temp (*this);
	279	m_isIdentity = IsIdentity1();
	280	return *this;
	281	}
	282
	283	// Translate by dx, dy:
	284	// \| 1 0 dx \|
	285	// matrix' = \| 0 1 dy \| x matrix
	286	// \| 0 0 1 \|
	287	//
	288	bool wxTransformMatrix::Translate(double dx, double dy)
	289	{
	290	int i;
	291	for (i = 0; i < 3; i++)
	292	m_matrix[i][0] += dx * m_matrix[i][2];
	293	for (i = 0; i < 3; i++)
	294	m_matrix[i][1] += dy * m_matrix[i][2];
	295
	296	m_isIdentity = IsIdentity1();
	297
	298	return TRUE;
	299	}
	300
	301	// Rotate clockwise by the given number of degrees:
	302	// \| cos sin 0 \|
	303	// matrix' = \| -sin cos 0 \| x matrix
	304	// \| 0 0 1 \|
	305	bool wxTransformMatrix::Rotate(double degrees)
	306	{
	307	Rotate(-degrees,0,0);
	308	return TRUE;
	309	}
	310
	311	// counter clockwise rotate around a point
	312	//
	313	// cos(r) -sin(r) x(1-cos(r))+y(sin(r)
	314	// sin(r) cos(r) y(1-cos(r))-x(sin(r)
	315	// 0 0 1
	316	wxTransformMatrix& wxTransformMatrix::Rotate(const double &degrees, const double &x, const double &y)
	317	{
	318	double angle = degrees * pi / 180.0;
	319	double c = cos(angle);
	320	double s = sin(angle);
	321	double r00,r10,r20,r01,r11,r21;
	322
	323	if (m_isIdentity)
	324	{
	325	double tx = x(1-c)+ys;
	326	double ty = y(1-c)-xs;
	327	r00 = c ;
	328	r10 = -s;
	329	r20 = tx;
	330	r01 = s;
	331	r11 = c;
	332	r21 = ty;
	333	}
	334	else if (x!=0 \|\| y!=0)
	335	{
	336	double tx = x(1-c)+ys;
	337	double ty = y(1-c)-xs;
	338	r00 = c * m_matrix[0][0] - s * m_matrix[0][1] + tx * m_matrix[0][2];
	339	r10 = c * m_matrix[1][0] - s * m_matrix[1][1] + tx * m_matrix[1][2];
	340	r20 = c * m_matrix[2][0] - s * m_matrix[2][1] + tx;// * m_matrix[2][2];
	341	r01 = c * m_matrix[0][1] + s * m_matrix[0][0] + ty * m_matrix[0][2];
	342	r11 = c * m_matrix[1][1] + s * m_matrix[1][0] + ty * m_matrix[1][2];
	343	r21 = c * m_matrix[2][1] + s * m_matrix[2][0] + ty;// * m_matrix[2][2];
	344	}
	345	else
	346	{
	347	r00 = c * m_matrix[0][0] - s * m_matrix[0][1];
	348	r10 = c * m_matrix[1][0] - s * m_matrix[1][1];
	349	r20 = c * m_matrix[2][0] - s * m_matrix[2][1];
	350	r01 = c * m_matrix[0][1] + s * m_matrix[0][0];
	351	r11 = c * m_matrix[1][1] + s * m_matrix[1][0];
	352	r21 = c * m_matrix[2][1] + s * m_matrix[2][0];
	353	}
	354
	355	m_matrix[0][0] = r00;
	356	m_matrix[1][0] = r10;
	357	m_matrix[2][0] = r20;
	358	m_matrix[0][1] = r01;
	359	m_matrix[1][1] = r11;
	360	m_matrix[2][1] = r21;
	361
	362	/* or like this
	363	wxTransformMatrix rotate;
	364	rotate.m_matrix[2][0] = tx;
	365	rotate.m_matrix[2][1] = ty;
	366
	367	rotate.m_matrix[0][0] = c;
	368	rotate.m_matrix[0][1] = s;
	369
	370	rotate.m_matrix[1][0] = -s;
	371	rotate.m_matrix[1][1] = c;
	372
	373	rotate.m_isIdentity=false;
	374	this = rotate (*this);
	375	*/
	376	m_isIdentity = IsIdentity1();
	377
	378	return *this;
	379	}
	380
	381	// Transform a point from logical to device coordinates
	382	bool wxTransformMatrix::TransformPoint(double x, double y, double& tx, double& ty) const
	383	{
	384	if (IsIdentity())
	385	{
	386	tx = x; ty = y; return TRUE;
	387	}
	388
	389	tx = x * m_matrix[0][0] + y * m_matrix[1][0] + m_matrix[2][0];
	390	ty = x * m_matrix[0][1] + y * m_matrix[1][1] + m_matrix[2][1];
	391
	392	return TRUE;
	393	}
	394
	395	// Transform a point from device to logical coordinates.
	396
	397	// Example of use:
	398	// wxTransformMatrix mat = dc.GetTransformation();
	399	// mat.Invert();
	400	// mat.InverseTransformPoint(x, y, x1, y1);
	401	// OR (shorthand:)
	402	// dc.LogicalToDevice(x, y, x1, y1);
	403	// The latter is slightly less efficient if we're doing several
	404	// conversions, since the matrix is inverted several times.
	405	bool wxTransformMatrix::InverseTransformPoint(double x, double y, double& tx, double& ty) const
	406	{
	407	if (IsIdentity())
	408	{
	409	tx = x; ty = y; return TRUE;
	410	}
	411
	412	double z = (1.0 - m_matrix[0][2] * x - m_matrix[1][2] * y) / m_matrix[2][2];
	413	if (z == 0.0)
	414	{
	415	// z = 0.0000001;
	416	return FALSE;
	417	}
	418	tx = x * m_matrix[0][0] + y * m_matrix[1][0] + z * m_matrix[2][0];
	419	ty = x * m_matrix[0][1] + y * m_matrix[1][1] + z * m_matrix[2][1];
	420	return TRUE;
	421	}
	422
	423	wxTransformMatrix& wxTransformMatrix::operator*=(const double& t)
	424	{
	425	for (int i = 0; i < 3; i++)
	426	for (int j = 0; j < 3; j++)
	427	m_matrix[i][j]*= t;
	428	m_isIdentity = IsIdentity1();
	429	return *this;
	430	}
	431
	432	wxTransformMatrix& wxTransformMatrix::operator/=(const double& t)
	433	{
	434	for (int i = 0; i < 3; i++)
	435	for (int j = 0; j < 3; j++)
	436	m_matrix[i][j]/= t;
	437	m_isIdentity = IsIdentity1();
	438	return *this;
	439	}
	440
	441	wxTransformMatrix& wxTransformMatrix::operator+=(const wxTransformMatrix& mat)
	442	{
	443	for (int i = 0; i < 3; i++)
	444	for (int j = 0; j < 3; j++)
	445	m_matrix[i][j] += mat.m_matrix[i][j];
	446	m_isIdentity = IsIdentity1();
	447	return *this;
	448	}
	449
	450	wxTransformMatrix& wxTransformMatrix::operator-=(const wxTransformMatrix& mat)
	451	{
	452	for (int i = 0; i < 3; i++)
	453	for (int j = 0; j < 3; j++)
	454	m_matrix[i][j] -= mat.m_matrix[i][j];
	455	m_isIdentity = IsIdentity1();
	456	return *this;
	457	}
	458
	459	wxTransformMatrix& wxTransformMatrix::operator*=(const wxTransformMatrix& mat)
	460	{
	461
	462	if (mat.m_isIdentity)
	463	return *this;
	464	if (m_isIdentity)
	465	{
	466	*this = mat;
	467	return *this;
	468	}
	469	else
	470	{
	471	wxTransformMatrix result;
	472	for (int i = 0; i < 3; i++)
	473	{
	474	for (int j = 0; j < 3; j++)
	475	{
	476	double sum = 0;
	477	for (int k = 0; k < 3; k++)
	478	sum += m_matrix[k][i] * mat.m_matrix[j][k];
	479	result.m_matrix[j][i] = sum;
	480	}
	481	}
	482	*this = result;
	483	}
	484
	485	m_isIdentity = IsIdentity1();
	486	return *this;
	487	}
	488
	489
	490	// constant operators
	491	wxTransformMatrix wxTransformMatrix::operator*(const double& t) const
	492	{
	493	wxTransformMatrix result = *this;
	494	result *= t;
	495	result.m_isIdentity = result.IsIdentity1();
	496	return result;
	497	}
	498
	499	wxTransformMatrix wxTransformMatrix::operator/(const double& t) const
	500	{
	501	wxTransformMatrix result = *this;
	502	// wxASSERT(t!=0);
	503	result /= t;
	504	result.m_isIdentity = result.IsIdentity1();
	505	return result;
	506	}
	507
	508	wxTransformMatrix wxTransformMatrix::operator+(const wxTransformMatrix& m) const
	509	{
	510	wxTransformMatrix result = *this;
	511	result += m;
	512	result.m_isIdentity = result.IsIdentity1();
	513	return result;
	514	}
	515
	516	wxTransformMatrix wxTransformMatrix::operator-(const wxTransformMatrix& m) const
	517	{
	518	wxTransformMatrix result = *this;
	519	result -= m;
	520	result.m_isIdentity = result.IsIdentity1();
	521	return result;
	522	}
	523
	524
	525	wxTransformMatrix wxTransformMatrix::operator*(const wxTransformMatrix& m) const
	526	{
	527	wxTransformMatrix result = *this;
	528	result *= m;
	529	result.m_isIdentity = result.IsIdentity1();
	530	return result;
	531	}
	532
	533
	534	wxTransformMatrix wxTransformMatrix::operator-() const
	535	{
	536	wxTransformMatrix result = *this;
	537	for (int i = 0; i < 3; i++)
	538	for (int j = 0; j < 3; j++)
	539	result.m_matrix[i][j] = -(this->m_matrix[i][j]);
	540	result.m_isIdentity = result.IsIdentity1();
	541	return result;
	542	}
	543
	544	static double CheckInt(double getal)
	545	{
	546	// check if the number is very close to an integer
	547	if ( (ceil(getal) - getal) < 0.0001)
	548	return ceil(getal);
	549
	550	else if ( (getal - floor(getal)) < 0.0001)
	551	return floor(getal);
	552
	553	return getal;
	554
	555	}
	556
	557	double wxTransformMatrix::Get_scaleX()
	558	{
	559	double scale_factor;
	560	double rot_angle = CheckInt(atan2(m_matrix[1][0],m_matrix[0][0])*180/pi);
	561	if (rot_angle != 90 && rot_angle != -90)
	562	scale_factor = m_matrix[0][0]/cos((rot_angle/180)*pi);
	563	else
	564	scale_factor = m_matrix[0][0]/sin((rot_angle/180)*pi); // er kan nl. niet door 0 gedeeld worden !
	565
	566	scale_factor = CheckInt(scale_factor);
	567	if (scale_factor < 0)
	568	scale_factor = -scale_factor;
	569
	570	return scale_factor;
	571	}
	572
	573	double wxTransformMatrix::Get_scaleY()
	574	{
	575	double scale_factor;
	576	double rot_angle = CheckInt(atan2(m_matrix[1][0],m_matrix[0][0])*180/pi);
	577	if (rot_angle != 90 && rot_angle != -90)
	578	scale_factor = m_matrix[1][1]/cos((rot_angle/180)*pi);
	579	else
	580	scale_factor = m_matrix[1][1]/sin((rot_angle/180)*pi); // er kan nl. niet door 0 gedeeld worden !
	581
	582	scale_factor = CheckInt(scale_factor);
	583	if (scale_factor < 0)
	584
	585	scale_factor = -scale_factor;
	586
	587	return scale_factor;
	588
	589	}
	590
	591	double wxTransformMatrix::GetRotation()
	592	{
	593	double temp1 = GetValue(0,0); // for angle calculation
	594	double temp2 = GetValue(0,1); //
	595
	596	// Rotation
	597	double rot_angle = atan2(temp2,temp1)*180/pi;
	598
	599	rot_angle = CheckInt(rot_angle);
	600	return rot_angle;
	601	}
	602
	603	void wxTransformMatrix::SetRotation(double rotation)
	604	{
	605	double x=GetValue(2,0);
	606	double y=GetValue(2,1);
	607	Rotate(-GetRotation(), x, y);
	608	Rotate(rotation, x, y);
	609	}
	610