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      1 /*
      2  * Copyright (C) 2005, 2006 Apple Computer, Inc.  All rights reserved.
      3  *               2010 Dirk Schulze <krit (at) webkit.org>
      4  *
      5  * Redistribution and use in source and binary forms, with or without
      6  * modification, are permitted provided that the following conditions
      7  * are met:
      8  * 1. Redistributions of source code must retain the above copyright
      9  *    notice, this list of conditions and the following disclaimer.
     10  * 2. Redistributions in binary form must reproduce the above copyright
     11  *    notice, this list of conditions and the following disclaimer in the
     12  *    documentation and/or other materials provided with the distribution.
     13  *
     14  * THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
     15  * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     16  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     17  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL APPLE COMPUTER, INC. OR
     18  * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
     19  * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
     20  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
     21  * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
     22  * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     23  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
     24  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     25  */
     26 
     27 #ifndef AffineTransform_h
     28 #define AffineTransform_h
     29 
     30 #include "platform/transforms/TransformationMatrix.h"
     31 
     32 #include <string.h> // for memcpy
     33 #include "wtf/FastAllocBase.h"
     34 
     35 namespace blink {
     36 
     37 class FloatPoint;
     38 class FloatQuad;
     39 class FloatRect;
     40 class IntPoint;
     41 class IntRect;
     42 class TransformationMatrix;
     43 
     44 class PLATFORM_EXPORT AffineTransform {
     45     WTF_MAKE_FAST_ALLOCATED;
     46 public:
     47     typedef double Transform[6];
     48 
     49     AffineTransform();
     50     AffineTransform(double a, double b, double c, double d, double e, double f);
     51 
     52     void setMatrix(double a, double b, double c, double d, double e, double f);
     53 
     54     void map(double x, double y, double& x2, double& y2) const;
     55 
     56     // Rounds the mapped point to the nearest integer value.
     57     IntPoint mapPoint(const IntPoint&) const;
     58 
     59     FloatPoint mapPoint(const FloatPoint&) const;
     60 
     61     IntSize mapSize(const IntSize&) const;
     62 
     63     FloatSize mapSize(const FloatSize&) const;
     64 
     65     // Rounds the resulting mapped rectangle out. This is helpful for bounding
     66     // box computations but may not be what is wanted in other contexts.
     67     IntRect mapRect(const IntRect&) const;
     68 
     69     FloatRect mapRect(const FloatRect&) const;
     70     FloatQuad mapQuad(const FloatQuad&) const;
     71 
     72     bool isIdentity() const;
     73 
     74     double a() const { return m_transform[0]; }
     75     void setA(double a) { m_transform[0] = a; }
     76     double b() const { return m_transform[1]; }
     77     void setB(double b) { m_transform[1] = b; }
     78     double c() const { return m_transform[2]; }
     79     void setC(double c) { m_transform[2] = c; }
     80     double d() const { return m_transform[3]; }
     81     void setD(double d) { m_transform[3] = d; }
     82     double e() const { return m_transform[4]; }
     83     void setE(double e) { m_transform[4] = e; }
     84     double f() const { return m_transform[5]; }
     85     void setF(double f) { m_transform[5] = f; }
     86 
     87     void makeIdentity();
     88 
     89     AffineTransform& multiply(const AffineTransform& other);
     90     AffineTransform& scale(double);
     91     AffineTransform& scale(double sx, double sy);
     92     AffineTransform& scaleNonUniform(double sx, double sy);
     93     AffineTransform& rotate(double a);
     94     AffineTransform& rotateRadians(double a);
     95     AffineTransform& rotateFromVector(double x, double y);
     96     AffineTransform& translate(double tx, double ty);
     97     AffineTransform& shear(double sx, double sy);
     98     AffineTransform& flipX();
     99     AffineTransform& flipY();
    100     AffineTransform& skew(double angleX, double angleY);
    101     AffineTransform& skewX(double angle);
    102     AffineTransform& skewY(double angle);
    103 
    104     double xScale() const;
    105     double yScale() const;
    106 
    107     double det() const;
    108     bool isInvertible() const;
    109     AffineTransform inverse() const;
    110 
    111     TransformationMatrix toTransformationMatrix() const;
    112 
    113     bool isIdentityOrTranslation() const
    114     {
    115         return m_transform[0] == 1 && m_transform[1] == 0 && m_transform[2] == 0 && m_transform[3] == 1;
    116     }
    117 
    118     bool isIdentityOrTranslationOrFlipped() const
    119     {
    120         return m_transform[0] == 1 && m_transform[1] == 0 && m_transform[2] == 0 && (m_transform[3] == 1 || m_transform[3] == -1);
    121     }
    122 
    123     bool preservesAxisAlignment() const
    124     {
    125         return (m_transform[1] == 0 && m_transform[2] == 0) || (m_transform[0] == 0 && m_transform[3] == 0);
    126     }
    127 
    128     bool operator== (const AffineTransform& m2) const
    129     {
    130         return (m_transform[0] == m2.m_transform[0]
    131              && m_transform[1] == m2.m_transform[1]
    132              && m_transform[2] == m2.m_transform[2]
    133              && m_transform[3] == m2.m_transform[3]
    134              && m_transform[4] == m2.m_transform[4]
    135              && m_transform[5] == m2.m_transform[5]);
    136     }
    137 
    138     bool operator!=(const AffineTransform& other) const { return !(*this == other); }
    139 
    140     // *this = *this * t (i.e., a multRight)
    141     AffineTransform& operator*=(const AffineTransform& t)
    142     {
    143         return multiply(t);
    144     }
    145 
    146     // result = *this * t (i.e., a multRight)
    147     AffineTransform operator*(const AffineTransform& t) const
    148     {
    149         AffineTransform result = *this;
    150         result *= t;
    151         return result;
    152     }
    153 
    154     static AffineTransform translation(double x, double y)
    155     {
    156         return AffineTransform(1, 0, 0, 1, x, y);
    157     }
    158 
    159     // decompose the matrix into its component parts
    160     typedef struct {
    161         double scaleX, scaleY;
    162         double angle;
    163         double remainderA, remainderB, remainderC, remainderD;
    164         double translateX, translateY;
    165     } DecomposedType;
    166 
    167     bool decompose(DecomposedType&) const;
    168     void recompose(const DecomposedType&);
    169 
    170 private:
    171     void setMatrix(const Transform m)
    172     {
    173         if (m && m != m_transform)
    174             memcpy(m_transform, m, sizeof(Transform));
    175     }
    176 
    177     Transform m_transform;
    178 };
    179 
    180 }
    181 
    182 #endif
    183