/* CoreGraphics - CGAffineTransform.h
   Copyright (c) 1998-2011 Apple Inc.
   All rights reserved. */

#ifndef CGAFFINETRANSFORM_H_
#define CGAFFINETRANSFORM_H_

typedef struct CGAffineTransform CGAffineTransform;

#include <CoreGraphics/CGBase.h>
#include <CoreGraphics/CGGeometry.h>

CF_IMPLICIT_BRIDGING_ENABLED

struct CGAffineTransform {
  CGFloat a, b, c, d;
  CGFloat tx, ty;
};

/* The identity transform: [ 1 0 0 1 0 0 ]. */

CG_EXTERN const CGAffineTransform CGAffineTransformIdentity
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return the transform [ a b c d tx ty ]. */

CG_EXTERN CGAffineTransform CGAffineTransformMake(CGFloat a, CGFloat b,
  CGFloat c, CGFloat d, CGFloat tx, CGFloat ty)
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return a transform which translates by `(tx, ty)':
     t' = [ 1 0 0 1 tx ty ] */

CG_EXTERN CGAffineTransform CGAffineTransformMakeTranslation(CGFloat tx,
  CGFloat ty) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return a transform which scales by `(sx, sy)':
     t' = [ sx 0 0 sy 0 0 ] */

CG_EXTERN CGAffineTransform CGAffineTransformMakeScale(CGFloat sx, CGFloat sy)
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return a transform which rotates by `angle' radians:
     t' = [ cos(angle) sin(angle) -sin(angle) cos(angle) 0 0 ] */

CG_EXTERN CGAffineTransform CGAffineTransformMakeRotation(CGFloat angle)
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return true if `t' is the identity transform, false otherwise. */

CG_EXTERN bool CGAffineTransformIsIdentity(CGAffineTransform t)
  CG_AVAILABLE_STARTING(__MAC_10_4, __IPHONE_2_0);

/* Translate `t' by `(tx, ty)' and return the result:
     t' = [ 1 0 0 1 tx ty ] * t */

CG_EXTERN CGAffineTransform CGAffineTransformTranslate(CGAffineTransform t,
  CGFloat tx, CGFloat ty) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Scale `t' by `(sx, sy)' and return the result:
     t' = [ sx 0 0 sy 0 0 ] * t */

CG_EXTERN CGAffineTransform CGAffineTransformScale(CGAffineTransform t,
  CGFloat sx, CGFloat sy) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Rotate `t' by `angle' radians and return the result:
     t' =  [ cos(angle) sin(angle) -sin(angle) cos(angle) 0 0 ] * t */

CG_EXTERN CGAffineTransform CGAffineTransformRotate(CGAffineTransform t,
  CGFloat angle) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Invert `t' and return the result. If `t' has zero determinant, then `t'
   is returned unchanged. */

CG_EXTERN CGAffineTransform CGAffineTransformInvert(CGAffineTransform t)
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Concatenate `t2' to `t1' and return the result:
     t' = t1 * t2 */

CG_EXTERN CGAffineTransform CGAffineTransformConcat(CGAffineTransform t1,
  CGAffineTransform t2) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Return true if `t1' and `t2' are equal, false otherwise. */

CG_EXTERN bool CGAffineTransformEqualToTransform(CGAffineTransform t1,
  CGAffineTransform t2) CG_AVAILABLE_STARTING(__MAC_10_4, __IPHONE_2_0);

/* Transform `point' by `t' and return the result:
     p' = p * t
   where p = [ x y 1 ]. */

CG_EXTERN CGPoint CGPointApplyAffineTransform(CGPoint point,
  CGAffineTransform t) CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Transform `size' by `t' and return the result:
     s' = s * t
   where s = [ width height 0 ]. */

CG_EXTERN CGSize CGSizeApplyAffineTransform(CGSize size, CGAffineTransform t)
  CG_AVAILABLE_STARTING(__MAC_10_0, __IPHONE_2_0);

/* Transform `rect' by `t' and return the result. Since affine transforms do
   not preserve rectangles in general, this function returns the smallest
   rectangle which contains the transformed corner points of `rect'. If `t'
   consists solely of scales, flips and translations, then the returned
   rectangle coincides with the rectangle constructed from the four
   transformed corners. */

CG_EXTERN CGRect CGRectApplyAffineTransform(CGRect rect, CGAffineTransform t)
  CG_AVAILABLE_STARTING(__MAC_10_4, __IPHONE_2_0);

/*** Definitions of inline functions. ***/

CG_INLINE CGAffineTransform
__CGAffineTransformMake(CGFloat a, CGFloat b, CGFloat c, CGFloat d,
  CGFloat tx, CGFloat ty)
{
  CGAffineTransform t;
  t.a = a; t.b = b; t.c = c; t.d = d; t.tx = tx; t.ty = ty;
  return t;
}
#define CGAffineTransformMake __CGAffineTransformMake

CG_INLINE CGPoint
__CGPointApplyAffineTransform(CGPoint point, CGAffineTransform t)
{
  CGPoint 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;
}
#define CGPointApplyAffineTransform __CGPointApplyAffineTransform

CG_INLINE CGSize
__CGSizeApplyAffineTransform(CGSize size, CGAffineTransform t)
{
  CGSize 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;
}
#define CGSizeApplyAffineTransform __CGSizeApplyAffineTransform

CF_IMPLICIT_BRIDGING_DISABLED

#endif /* CGAFFINETRANSFORM_H_ */