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#pragma once
/*
* Copyright (C) 2005-2008 Team XBMC
* http://www.xbmc.org
*
* This Program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2, or (at your option)
* any later version.
*
* This Program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with XBMC; see the file COPYING. If not, write to
* the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
* http://www.gnu.org/copyleft/gpl.html
*
*/
#include <math.h>
#include <memory>
#include <string.h>
#include <stdint.h>
#ifdef __GNUC__
// under gcc, inline will only take place if optimizations are applied (-O). this will force inline even whith optimizations.
#define XBMC_FORCE_INLINE __attribute__((always_inline))
#else
#define XBMC_FORCE_INLINE
#endif
typedef uint32_t color_t;
class TransformMatrix
{
public:
TransformMatrix()
{
Reset();
};
void Reset()
{
m[0][0] = 1.0f; m[0][1] = m[0][2] = m[0][3] = 0.0f;
m[1][0] = m[1][2] = m[1][3] = 0.0f; m[1][1] = 1.0f;
m[2][0] = m[2][1] = m[2][3] = 0.0f; m[2][2] = 1.0f;
alpha = 1.0f;
};
static TransformMatrix CreateTranslation(float transX, float transY, float transZ = 0)
{
TransformMatrix translation;
translation.m[0][3] = transX;
translation.m[1][3] = transY;
translation.m[2][3] = transZ;
return translation;
}
void SetTranslation(float transX, float transY, float transZ)
{
m[0][1] = m[0][2] = 0.0f; m[0][0] = 1.0f; m[0][3] = transX;
m[1][0] = m[1][2] = 0.0f; m[1][1] = 1.0f; m[1][3] = transY;
m[2][0] = m[2][1] = 0.0f; m[2][2] = 1.0f; m[2][3] = transZ;
alpha = 1.0f;
}
static TransformMatrix CreateScaler(float scaleX, float scaleY, float scaleZ = 1.0f)
{
TransformMatrix scaler;
scaler.m[0][0] = scaleX;
scaler.m[1][1] = scaleY;
scaler.m[2][2] = scaleZ;
return scaler;
};
void SetScaler(float scaleX, float scaleY, float centerX, float centerY)
{
// Trans(centerX,centerY,centerZ)*Scale(scaleX,scaleY,scaleZ)*Trans(-centerX,-centerY,-centerZ)
float centerZ = 0.0f, scaleZ = 1.0f;
m[0][0] = scaleX; m[0][1] = 0.0f; m[0][2] = 0.0f; m[0][3] = centerX*(1-scaleX);
m[1][0] = 0.0f; m[1][1] = scaleY; m[1][2] = 0.0f; m[1][3] = centerY*(1-scaleY);
m[2][0] = 0.0f; m[2][1] = 0.0f; m[2][2] = scaleZ; m[2][3] = centerZ*(1-scaleZ);
alpha = 1.0f;
};
void SetXRotation(float angle, float y, float z, float ar = 1.0f)
{ // angle about the X axis, centered at y,z where our coordinate system has aspect ratio ar.
// Trans(0,y,z)*Scale(1,1/ar,1)*RotateX(angle)*Scale(ar,1,1)*Trans(0,-y,-z);
float c = cos(angle); float s = sin(angle);
m[0][0] = ar; m[0][1] = 0.0f; m[0][2] = 0.0f; m[0][3] = 0.0f;
m[1][0] = 0.0f; m[1][1] = c/ar; m[1][2] = -s/ar; m[1][3] = (-y*c+s*z)/ar + y;
m[2][0] = 0.0f; m[2][1] = s; m[2][2] = c; m[2][3] = (-y*s-c*z) + z;
angle = 1.0f;
}
void SetYRotation(float angle, float x, float z, float ar = 1.0f)
{ // angle about the Y axis, centered at x,z where our coordinate system has aspect ratio ar.
// Trans(x,0,z)*Scale(1/ar,1,1)*RotateY(angle)*Scale(ar,1,1)*Trans(-x,0,-z);
float c = cos(angle); float s = sin(angle);
m[0][0] = c; m[0][1] = 0.0f; m[0][2] = -s/ar; m[0][3] = -x*c + s*z/ar + x;
m[1][0] = 0.0f; m[1][1] = 1.0f; m[1][2] = 0.0f; m[1][3] = 0.0f;
m[2][0] = ar*s; m[2][1] = 0.0f; m[2][2] = c; m[2][3] = -ar*x*s - c*z + z;
angle = 1.0f;
}
static TransformMatrix CreateZRotation(float angle, float x, float y, float ar = 1.0f)
{ // angle about the Z axis, centered at x,y where our coordinate system has aspect ratio ar.
// Trans(x,y,0)*Scale(1/ar,1,1)*RotateZ(angle)*Scale(ar,1,1)*Trans(-x,-y,0)
float c = cos(angle); float s = sin(angle);
TransformMatrix rot;
rot.m[0][0] = c; rot.m[0][1] = -s/ar; rot.m[0][3] = -x*c + s*y/ar + x;
rot.m[1][0] = s*ar; rot.m[1][1] = c; rot.m[1][3] = -ar*x*s - c*y + y;
return rot;
}
void SetZRotation(float angle, float x, float y, float ar = 1.0f)
{ // angle about the Z axis, centered at x,y where our coordinate system has aspect ratio ar.
// Trans(x,y,0)*Scale(1/ar,1,1)*RotateZ(angle)*Scale(ar,1,1)*Trans(-x,-y,0)
float c = cos(angle); float s = sin(angle);
m[0][0] = c; m[0][1] = -s/ar; m[0][2] = 0.0f; m[0][3] = -x*c + s*y/ar + x;
m[1][0] = s*ar; m[1][1] = c; m[1][2] = 0.0f; m[1][3] = -ar*x*s - c*y + y;
m[2][0] = 0.0f; m[2][1] = 0.0f; m[2][2] = 1.0f; m[2][3] = 0.0f;
angle = 1.0f;
}
static TransformMatrix CreateFader(float a)
{
TransformMatrix fader;
fader.alpha = a;
return fader;
}
void SetFader(float a)
{
m[0][0] = 1.0f; m[0][1] = 0.0f; m[0][2] = 0.0f; m[0][3] = 0.0f;
m[1][0] = 0.0f; m[1][1] = 1.0f; m[1][2] = 0.0f; m[1][3] = 0.0f;
m[2][0] = 0.0f; m[2][1] = 0.0f; m[2][2] = 1.0f; m[2][3] = 0.0f;
alpha = a;
}
// assignment operator
const TransformMatrix &operator =(const TransformMatrix &right)
{
if (this != &right)
{
memcpy(m, right.m, 12*sizeof(float));
alpha = right.alpha;
}
return *this;
}
// multiplication operators
const TransformMatrix &operator *=(const TransformMatrix &right)
{
float t00 = m[0][0] * right.m[0][0] + m[0][1] * right.m[1][0] + m[0][2] * right.m[2][0];
float t01 = m[0][0] * right.m[0][1] + m[0][1] * right.m[1][1] + m[0][2] * right.m[2][1];
float t02 = m[0][0] * right.m[0][2] + m[0][1] * right.m[1][2] + m[0][2] * right.m[2][2];
m[0][3] = m[0][0] * right.m[0][3] + m[0][1] * right.m[1][3] + m[0][2] * right.m[2][3] + m[0][3];
m[0][0] = t00; m[0][1] = t01; m[0][2] = t02;
t00 = m[1][0] * right.m[0][0] + m[1][1] * right.m[1][0] + m[1][2] * right.m[2][0];
t01 = m[1][0] * right.m[0][1] + m[1][1] * right.m[1][1] + m[1][2] * right.m[2][1];
t02 = m[1][0] * right.m[0][2] + m[1][1] * right.m[1][2] + m[1][2] * right.m[2][2];
m[1][3] = m[1][0] * right.m[0][3] + m[1][1] * right.m[1][3] + m[1][2] * right.m[2][3] + m[1][3];
m[1][0] = t00; m[1][1] = t01; m[1][2] = t02;
t00 = m[2][0] * right.m[0][0] + m[2][1] * right.m[1][0] + m[2][2] * right.m[2][0];
t01 = m[2][0] * right.m[0][1] + m[2][1] * right.m[1][1] + m[2][2] * right.m[2][1];
t02 = m[2][0] * right.m[0][2] + m[2][1] * right.m[1][2] + m[2][2] * right.m[2][2];
m[2][3] = m[2][0] * right.m[0][3] + m[2][1] * right.m[1][3] + m[2][2] * right.m[2][3] + m[2][3];
m[2][0] = t00; m[2][1] = t01; m[2][2] = t02;
alpha *= right.alpha;
return *this;
}
TransformMatrix operator *(const TransformMatrix &right) const
{
TransformMatrix result;
result.m[0][0] = m[0][0] * right.m[0][0] + m[0][1] * right.m[1][0] + m[0][2] * right.m[2][0];
result.m[0][1] = m[0][0] * right.m[0][1] + m[0][1] * right.m[1][1] + m[0][2] * right.m[2][1];
result.m[0][2] = m[0][0] * right.m[0][2] + m[0][1] * right.m[1][2] + m[0][2] * right.m[2][2];
result.m[0][3] = m[0][0] * right.m[0][3] + m[0][1] * right.m[1][3] + m[0][2] * right.m[2][3] + m[0][3];
result.m[1][0] = m[1][0] * right.m[0][0] + m[1][1] * right.m[1][0] + m[1][2] * right.m[2][0];
result.m[1][1] = m[1][0] * right.m[0][1] + m[1][1] * right.m[1][1] + m[1][2] * right.m[2][1];
result.m[1][2] = m[1][0] * right.m[0][2] + m[1][1] * right.m[1][2] + m[1][2] * right.m[2][2];
result.m[1][3] = m[1][0] * right.m[0][3] + m[1][1] * right.m[1][3] + m[1][2] * right.m[2][3] + m[1][3];
result.m[2][0] = m[2][0] * right.m[0][0] + m[2][1] * right.m[1][0] + m[2][2] * right.m[2][0];
result.m[2][1] = m[2][0] * right.m[0][1] + m[2][1] * right.m[1][1] + m[2][2] * right.m[2][1];
result.m[2][2] = m[2][0] * right.m[0][2] + m[2][1] * right.m[1][2] + m[2][2] * right.m[2][2];
result.m[2][3] = m[2][0] * right.m[0][3] + m[2][1] * right.m[1][3] + m[2][2] * right.m[2][3] + m[2][3];
result.alpha = alpha * right.alpha;
return result;
}
inline void TransformPosition(float &x, float &y, float &z) const XBMC_FORCE_INLINE
{
float newX = m[0][0] * x + m[0][1] * y + m[0][2] * z + m[0][3];
float newY = m[1][0] * x + m[1][1] * y + m[1][2] * z + m[1][3];
z = m[2][0] * x + m[2][1] * y + m[2][2] * z + m[2][3];
y = newY;
x = newX;
}
inline void TransformPositionUnscaled(float &x, float &y, float &z) const XBMC_FORCE_INLINE
{
float n;
// calculate the norm of the transformed (but not translated) vectors involved
n = sqrt(m[0][0]*m[0][0] + m[0][1]*m[0][1] + m[0][2]*m[0][2]);
float newX = (m[0][0] * x + m[0][1] * y + m[0][2] * z)/n + m[0][3];
n = sqrt(m[1][0]*m[1][0] + m[1][1]*m[1][1] + m[1][2]*m[1][2]);
float newY = (m[1][0] * x + m[1][1] * y + m[1][2] * z)/n + m[1][3];
n = sqrt(m[2][0]*m[2][0] + m[2][1]*m[2][1] + m[2][2]*m[2][2]);
float newZ = (m[2][0] * x + m[2][1] * y + m[2][2] * z)/n + m[2][3];
z = newZ;
y = newY;
x = newX;
}
inline void InverseTransformPosition(float &x, float &y) const XBMC_FORCE_INLINE
{ // used for mouse - no way to find z
x -= m[0][3]; y -= m[1][3];
float detM = m[0][0]*m[1][1] - m[0][1]*m[1][0];
float newX = (m[1][1] * x - m[0][1] * y)/detM;
y = (-m[1][0] * x + m[0][0] * y)/detM;
x = newX;
}
inline float TransformXCoord(float x, float y, float z) const XBMC_FORCE_INLINE
{
return m[0][0] * x + m[0][1] * y + m[0][2] * z + m[0][3];
}
inline float TransformYCoord(float x, float y, float z) const XBMC_FORCE_INLINE
{
return m[1][0] * x + m[1][1] * y + m[1][2] * z + m[1][3];
}
inline float TransformZCoord(float x, float y, float z) const XBMC_FORCE_INLINE
{
return m[2][0] * x + m[2][1] * y + m[2][2] * z + m[2][3];
}
inline color_t TransformAlpha(color_t colour) const XBMC_FORCE_INLINE
{
return (color_t)(colour * alpha);
}
float m[3][4];
float alpha;
};
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