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      1 /*
      2  * Copyright (C) 1999 Antti Koivisto (koivisto (at) kde.org)
      3  * Copyright (C) 2004, 2005, 2006, 2007, 2008 Apple Inc. All rights reserved.
      4  *
      5  * This library is free software; you can redistribute it and/or
      6  * modify it under the terms of the GNU Library General Public
      7  * License as published by the Free Software Foundation; either
      8  * version 2 of the License, or (at your option) any later version.
      9  *
     10  * This library is distributed in the hope that it will be useful,
     11  * but WITHOUT ANY WARRANTY; without even the implied warranty of
     12  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
     13  * Library General Public License for more details.
     14  *
     15  * You should have received a copy of the GNU Library General Public License
     16  * along with this library; see the file COPYING.LIB.  If not, write to
     17  * the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
     18  * Boston, MA 02110-1301, USA.
     19  *
     20  */
     21 
     22 #include "config.h"
     23 #include "platform/transforms/RotateTransformOperation.h"
     24 
     25 #include "platform/animation/AnimationUtilities.h"
     26 #include "platform/geometry/FloatPoint3D.h"
     27 #include "wtf/MathExtras.h"
     28 #include <algorithm>
     29 
     30 namespace blink {
     31 
     32 static const double angleEpsilon = 1e-4;
     33 
     34 FloatPoint3D RotateTransformOperation::axis() const
     35 {
     36     return FloatPoint3D(x(), y(), z());
     37 }
     38 
     39 bool RotateTransformOperation::shareSameAxis(const RotateTransformOperation* from, const RotateTransformOperation* to, FloatPoint3D* axis, double* fromAngle, double* toAngle)
     40 {
     41     *axis = FloatPoint3D(0, 0, 1);
     42     *fromAngle = 0;
     43     *toAngle = 0;
     44 
     45     if (!from && !to)
     46         return true;
     47 
     48     bool fromZero = !from || from->axis().isZero();
     49     bool toZero = !to || to->axis().isZero();
     50 
     51     if (fromZero && toZero)
     52         return true;
     53 
     54     if (fromZero) {
     55         *axis = to->axis();
     56         *toAngle = to->angle();
     57         return true;
     58     }
     59 
     60     if (toZero) {
     61         *axis = from->axis();
     62         *fromAngle = from->angle();
     63         return true;
     64     }
     65 
     66     FloatPoint3D fromAxis = from->axis();
     67     FloatPoint3D toAxis = to->axis();
     68 
     69     double fromSquared = fromAxis.lengthSquared();
     70     double toSquared   = toAxis.lengthSquared();
     71 
     72     double dot = fromAxis.dot(toAxis);
     73     double error = std::abs(1 - (dot * dot) / (fromSquared * toSquared));
     74 
     75     if (error > angleEpsilon)
     76         return false;
     77     *axis = from->axis();
     78     *fromAngle = from->angle();
     79     *toAngle = to->angle();
     80     return true;
     81 }
     82 
     83 PassRefPtr<TransformOperation> RotateTransformOperation::blend(const TransformOperation* from, double progress, bool blendToIdentity)
     84 {
     85     if (from && !from->isSameType(*this))
     86         return this;
     87 
     88     if (blendToIdentity)
     89         return RotateTransformOperation::create(m_x, m_y, m_z, m_angle - m_angle * progress, m_type);
     90 
     91     const RotateTransformOperation* fromOp = static_cast<const RotateTransformOperation*>(from);
     92 
     93     // Optimize for single axis rotation
     94     if (!fromOp || (fromOp->m_x == 0 && fromOp->m_y == 0 && fromOp->m_z == 1) ||
     95                    (fromOp->m_x == 0 && fromOp->m_y == 1 && fromOp->m_z == 0) ||
     96                    (fromOp->m_x == 1 && fromOp->m_y == 0 && fromOp->m_z == 0)) {
     97         double fromAngle = fromOp ? fromOp->m_angle : 0;
     98         return RotateTransformOperation::create(fromOp ? fromOp->m_x : m_x,
     99                                                 fromOp ? fromOp->m_y : m_y,
    100                                                 fromOp ? fromOp->m_z : m_z,
    101                                                 blink::blend(fromAngle, m_angle, progress), m_type);
    102     }
    103     double fromAngle;
    104     double toAngle;
    105     FloatPoint3D axis;
    106 
    107     if (shareSameAxis(fromOp, this, &axis, &fromAngle, &toAngle))
    108         return RotateTransformOperation::create(axis.x(), axis.y(), axis.z(), blink::blend(fromAngle, toAngle, progress), m_type);
    109 
    110     const RotateTransformOperation* toOp = this;
    111 
    112     // Create the 2 rotation matrices
    113     TransformationMatrix fromT;
    114     TransformationMatrix toT;
    115     fromT.rotate3d((fromOp ? fromOp->m_x : 0),
    116         (fromOp ? fromOp->m_y : 0),
    117         (fromOp ? fromOp->m_z : 1),
    118         (fromOp ? fromOp->m_angle : 0));
    119 
    120     toT.rotate3d((toOp ? toOp->m_x : 0),
    121         (toOp ? toOp->m_y : 0),
    122         (toOp ? toOp->m_z : 1),
    123         (toOp ? toOp->m_angle : 0));
    124 
    125     // Blend them
    126     toT.blend(fromT, progress);
    127 
    128     // Extract the result as a quaternion
    129     TransformationMatrix::DecomposedType decomp;
    130     toT.decompose(decomp);
    131 
    132     // Convert that to Axis/Angle form
    133     double x = -decomp.quaternionX;
    134     double y = -decomp.quaternionY;
    135     double z = -decomp.quaternionZ;
    136     double length = std::sqrt(x * x + y * y + z * z);
    137     double angle = 0;
    138 
    139     if (length > 0.00001) {
    140         x /= length;
    141         y /= length;
    142         z /= length;
    143         angle = rad2deg(std::acos(decomp.quaternionW) * 2);
    144     } else {
    145         x = 0;
    146         y = 0;
    147         z = 1;
    148     }
    149     return RotateTransformOperation::create(x, y, z, angle, Rotate3D);
    150 }
    151 
    152 bool RotateTransformOperation::canBlendWith(const TransformOperation& other) const
    153 {
    154     return other.isSameType(*this);
    155 }
    156 
    157 } // namespace blink
    158