/****************************************************************************
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
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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,
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THE SOFTWARE.
****************************************************************************/
#include "CCAffineTransform.h"
#include <algorithm>
#include <math.h>

using namespace std;


namespace   cocos2d {

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

CCPoint __CCPointApplyAffineTransform(CCPoint point, CCAffineTransform t)
{
  CCPoint p;
  p.x = (CGFloat)((double)t.a * point.x + (double)t.c * point.y + t.tx);
  p.y = (CGFloat)((double)t.b * point.x + (double)t.d * point.y + t.ty);
  return p;
}

CCSize __CCSizeApplyAffineTransform(CCSize size, CCAffineTransform t)
{
  CCSize s;
  s.width = (CGFloat)((double)t.a * size.width + (double)t.c * size.height);
  s.height = (CGFloat)((double)t.b * size.width + (double)t.d * size.height);
  return s;
}


CCAffineTransform CCAffineTransformMakeIdentity()
{
	return __CCAffineTransformMake(1.0, 0.0, 0.0, 1.0, 0.0, 0.0);
}

extern const CCAffineTransform CCAffineTransformIdentity = CCAffineTransformMakeIdentity();


CCRect CCRectApplyAffineTransform(CCRect rect, CCAffineTransform anAffineTransform)
{
	CGFloat top = CCRect::CCRectGetMinY(rect);
    CGFloat left = CCRect::CCRectGetMinX(rect);
	CGFloat right = CCRect::CCRectGetMaxX(rect);
	CGFloat bottom = CCRect::CCRectGetMaxY(rect);
	
	CCPoint topLeft = CCPointApplyAffineTransform(CCPointMake(left, top), anAffineTransform);
    CCPoint topRight = CCPointApplyAffineTransform(CCPointMake(right, top), anAffineTransform);
    CCPoint bottomLeft = CCPointApplyAffineTransform(CCPointMake(left, bottom), anAffineTransform);
    CCPoint bottomRight = CCPointApplyAffineTransform(CCPointMake(right, bottom), anAffineTransform);

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

CCAffineTransform CCAffineTransformTranslate(CCAffineTransform 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);
}

CCAffineTransform CCAffineTransformScale(CCAffineTransform t, CGFloat sx, CGFloat sy)
{
	return __CCAffineTransformMake(t.a * sx, t.b * sx, t.c * sy, t.d * sy, t.tx, t.ty);
}

CCAffineTransform CCAffineTransformRotate(CCAffineTransform t, CGFloat 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 */
CCAffineTransform CCAffineTransformConcat(CCAffineTransform t1,CCAffineTransform 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 CCAffineTransformEqualToTransform(CCAffineTransform t1,CCAffineTransform 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);
}

CCAffineTransform CCAffineTransformInvert(CCAffineTransform 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) );
}
}//namespace   cocos2d