src/common/matrix.cpp

///////////////////////////////////////////////////////////////////////////////
// Name:        src/common/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
// Licence:     wxWindows licence
///////////////////////////////////////////////////////////////////////////////

// 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

#include "wx/matrix.h"

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

static const double pi = M_PI;

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

    Identity();
}

wxTransformMatrix::wxTransformMatrix(const wxTransformMatrix& mat)
    : wxObject()
{
    (*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) const
{
    if (m_isIdentity && mat.m_isIdentity)
        return true;

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

bool wxTransformMatrix::operator != (const wxTransformMatrix& mat) const
{
    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 ( wxIsNullDouble(det) )
        return false;

    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;

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

// 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 ( !wxIsNullDouble(xc) || !wxIsNullDouble(yc) )
    {
        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 ( !wxIsNullDouble(x) || !wxIsNullDouble(y) )
    {
        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;
    }

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