/****************************************************************************
Copyright (c) 2010 cocos2d-x.org

http://www.cocos2d-x.org

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
****************************************************************************/
#include "CCAffineTransform.h"
#include <algorithm>
#include <math.h>

using namespace std;


NS_CC_BEGIN

AffineTransform __CCAffineTransformMake(float a, float b, float c, float d, float tx, float ty)
{
  AffineTransform t;
  t.a = a; t.b = b; t.c = c; t.d = d; t.tx = tx; t.ty = ty;
  return t;
}

Point __CCPointApplyAffineTransform(const Point& point, const AffineTransform& t)
{
  Point p;
  p.x = (float)((double)t.a * point.x + (double)t.c * point.y + t.tx);
  p.y = (float)((double)t.b * point.x + (double)t.d * point.y + t.ty);
  return p;
}

Size __CCSizeApplyAffineTransform(const Size& size, const AffineTransform& t)
{
  Size s;
  s.width = (float)((double)t.a * size.width + (double)t.c * size.height);
  s.height = (float)((double)t.b * size.width + (double)t.d * size.height);
  return s;
}


AffineTransform AffineTransformMakeIdentity()
{
    return __CCAffineTransformMake(1.0, 0.0, 0.0, 1.0, 0.0, 0.0);
}

extern const AffineTransform AffineTransformIdentity = AffineTransformMakeIdentity();


Rect RectApplyAffineTransform(const Rect& rect, const AffineTransform& anAffineTransform)
{
    float top    = rect.getMinY();
    float left   = rect.getMinX();
    float right  = rect.getMaxX();
    float bottom = rect.getMaxY();
    
    Point topLeft = PointApplyAffineTransform(CCPointMake(left, top), anAffineTransform);
    Point topRight = PointApplyAffineTransform(CCPointMake(right, top), anAffineTransform);
    Point bottomLeft = PointApplyAffineTransform(CCPointMake(left, bottom), anAffineTransform);
    Point bottomRight = PointApplyAffineTransform(CCPointMake(right, bottom), anAffineTransform);

    float minX = min(min(topLeft.x, topRight.x), min(bottomLeft.x, bottomRight.x));
    float maxX = max(max(topLeft.x, topRight.x), max(bottomLeft.x, bottomRight.x));
    float minY = min(min(topLeft.y, topRight.y), min(bottomLeft.y, bottomRight.y));
    float maxY = max(max(topLeft.y, topRight.y), max(bottomLeft.y, bottomRight.y));
        
    return CCRectMake(minX, minY, (maxX - minX), (maxY - minY));
}

AffineTransform AffineTransformTranslate(const AffineTransform& t, float tx, float ty)
{
    return __CCAffineTransformMake(t.a, t.b, t.c, t.d, t.tx + t.a * tx + t.c * ty, t.ty + t.b * tx + t.d * ty);
}

AffineTransform AffineTransformScale(const AffineTransform& t, float sx, float sy)
{
    return __CCAffineTransformMake(t.a * sx, t.b * sx, t.c * sy, t.d * sy, t.tx, t.ty);
}

AffineTransform AffineTransformRotate(const AffineTransform& t, float anAngle)
{
    float fSin = sin(anAngle);
    float fCos = cos(anAngle);

    return __CCAffineTransformMake(    t.a * fCos + t.c * fSin,
                                    t.b * fCos + t.d * fSin,
                                    t.c * fCos - t.a * fSin,
                                    t.d * fCos - t.b * fSin,
                                    t.tx,
                                    t.ty);
}

/* Concatenate `t2' to `t1' and return the result:
     t' = t1 * t2 */
AffineTransform AffineTransformConcat(const AffineTransform& t1, const AffineTransform& t2)
{
    return __CCAffineTransformMake(    t1.a * t2.a + t1.b * t2.c, t1.a * t2.b + t1.b * t2.d, //a,b
                                    t1.c * t2.a + t1.d * t2.c, t1.c * t2.b + t1.d * t2.d, //c,d
                                    t1.tx * t2.a + t1.ty * t2.c + t2.tx,                  //tx
                                    t1.tx * t2.b + t1.ty * t2.d + t2.ty);                  //ty
}

/* Return true if `t1' and `t2' are equal, false otherwise. */
bool AffineTransformEqualToTransform(const AffineTransform& t1, const AffineTransform& t2)
{
    return (t1.a == t2.a && t1.b == t2.b && t1.c == t2.c && t1.d == t2.d && t1.tx == t2.tx && t1.ty == t2.ty);
}

AffineTransform AffineTransformInvert(const AffineTransform& t)
{
    float determinant = 1 / (t.a * t.d - t.b * t.c);

    return __CCAffineTransformMake(determinant * t.d, -determinant * t.b, -determinant * t.c, determinant * t.a,
                            determinant * (t.c * t.ty - t.d * t.tx), determinant * (t.b * t.tx - t.a * t.ty) );
}

NS_CC_END