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-/*
-Open Asset Import Library (ASSIMP)
-----------------------------------------------------------------------
-
-Copyright (c) 2006-2010, ASSIMP Development Team
-All rights reserved.
-
-Redistribution and use of this software in source and binary forms,
-with or without modification, are permitted provided that the
-following conditions are met:
-
-* Redistributions of source code must retain the above
- copyright notice, this list of conditions and the
- following disclaimer.
-
-* Redistributions in binary form must reproduce the above
- copyright notice, this list of conditions and the
- following disclaimer in the documentation and/or other
- materials provided with the distribution.
-
-* Neither the name of the ASSIMP team, nor the names of its
- contributors may be used to endorse or promote products
- derived from this software without specific prior
- written permission of the ASSIMP Development Team.
-
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
-OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
-LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
-DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
-THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-----------------------------------------------------------------------
-*/
-
-/** @file aiQuaternion.h
- * @brief Quaternion structure, including operators when compiling in C++
- */
-#ifndef AI_QUATERNION_H_INC
-#define AI_QUATERNION_H_INC
-
-#include <math.h>
-#include "aiTypes.h"
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-// ---------------------------------------------------------------------------
-/** Represents a quaternion in a 4D vector. */
-struct aiQuaternion
-{
-#ifdef __cplusplus
- aiQuaternion() : w(0.0f), x(0.0f), y(0.0f), z(0.0f) {}
- aiQuaternion(float _w, float _x, float _y, float _z) : w(_w), x(_x), y(_y), z(_z) {}
-
- /** Construct from rotation matrix. Result is undefined if the matrix is not orthonormal. */
- aiQuaternion( const aiMatrix3x3& pRotMatrix);
-
- /** Construct from euler angles */
- aiQuaternion( float rotx, float roty, float rotz);
-
- /** Construct from an axis-angle pair */
- aiQuaternion( aiVector3D axis, float angle);
-
- /** Construct from a normalized quaternion stored in a vec3 */
- aiQuaternion( aiVector3D normalized);
-
- /** Returns a matrix representation of the quaternion */
- aiMatrix3x3 GetMatrix() const;
-
-
- bool operator== (const aiQuaternion& o) const
- {return x == o.x && y == o.y && z == o.z && w == o.w;}
-
- bool operator!= (const aiQuaternion& o) const
- {return !(*this == o);}
-
- /** Normalize the quaternion */
- aiQuaternion& Normalize();
-
- /** Compute quaternion conjugate */
- aiQuaternion& Conjugate ();
-
- /** Rotate a point by this quaternion */
- aiVector3D Rotate (const aiVector3D& in);
-
- /** Multiply two quaternions */
- aiQuaternion operator* (const aiQuaternion& two) const;
-
- /** Performs a spherical interpolation between two quaternions and writes the result into the third.
- * @param pOut Target object to received the interpolated rotation.
- * @param pStart Start rotation of the interpolation at factor == 0.
- * @param pEnd End rotation, factor == 1.
- * @param pFactor Interpolation factor between 0 and 1. Values outside of this range yield undefined results.
- */
- static void Interpolate( aiQuaternion& pOut, const aiQuaternion& pStart, const aiQuaternion& pEnd, float pFactor);
-
-#endif // __cplusplus
-
- //! w,x,y,z components of the quaternion
- float w, x, y, z;
-} ;
-
-
-#ifdef __cplusplus
-
-// ---------------------------------------------------------------------------
-// Constructs a quaternion from a rotation matrix
-inline aiQuaternion::aiQuaternion( const aiMatrix3x3 &pRotMatrix)
-{
- float t = 1 + pRotMatrix.a1 + pRotMatrix.b2 + pRotMatrix.c3;
-
- // large enough
- if ( t > 0.001f)
- {
- float s = sqrt( t) * 2.0f;
- x = (pRotMatrix.c2 - pRotMatrix.b3) / s;
- y = (pRotMatrix.a3 - pRotMatrix.c1) / s;
- z = (pRotMatrix.b1 - pRotMatrix.a2) / s;
- w = 0.25f * s;
- } // else we have to check several cases
- else if ( pRotMatrix.a1 > pRotMatrix.b2 && pRotMatrix.a1 > pRotMatrix.c3 )
- {
- // Column 0:
- float s = sqrt( 1.0f + pRotMatrix.a1 - pRotMatrix.b2 - pRotMatrix.c3) * 2.0f;
- x = 0.25f * s;
- y = (pRotMatrix.b1 + pRotMatrix.a2) / s;
- z = (pRotMatrix.a3 + pRotMatrix.c1) / s;
- w = (pRotMatrix.c2 - pRotMatrix.b3) / s;
- }
- else if ( pRotMatrix.b2 > pRotMatrix.c3)
- {
- // Column 1:
- float s = sqrt( 1.0f + pRotMatrix.b2 - pRotMatrix.a1 - pRotMatrix.c3) * 2.0f;
- x = (pRotMatrix.b1 + pRotMatrix.a2) / s;
- y = 0.25f * s;
- z = (pRotMatrix.c2 + pRotMatrix.b3) / s;
- w = (pRotMatrix.a3 - pRotMatrix.c1) / s;
- } else
- {
- // Column 2:
- float s = sqrt( 1.0f + pRotMatrix.c3 - pRotMatrix.a1 - pRotMatrix.b2) * 2.0f;
- x = (pRotMatrix.a3 + pRotMatrix.c1) / s;
- y = (pRotMatrix.c2 + pRotMatrix.b3) / s;
- z = 0.25f * s;
- w = (pRotMatrix.b1 - pRotMatrix.a2) / s;
- }
-}
-
-// ---------------------------------------------------------------------------
-// Construction from euler angles
-inline aiQuaternion::aiQuaternion( float fPitch, float fYaw, float fRoll )
-{
- const float fSinPitch(sin(fPitch*0.5F));
- const float fCosPitch(cos(fPitch*0.5F));
- const float fSinYaw(sin(fYaw*0.5F));
- const float fCosYaw(cos(fYaw*0.5F));
- const float fSinRoll(sin(fRoll*0.5F));
- const float fCosRoll(cos(fRoll*0.5F));
- const float fCosPitchCosYaw(fCosPitch*fCosYaw);
- const float fSinPitchSinYaw(fSinPitch*fSinYaw);
- x = fSinRoll * fCosPitchCosYaw - fCosRoll * fSinPitchSinYaw;
- y = fCosRoll * fSinPitch * fCosYaw + fSinRoll * fCosPitch * fSinYaw;
- z = fCosRoll * fCosPitch * fSinYaw - fSinRoll * fSinPitch * fCosYaw;
- w = fCosRoll * fCosPitchCosYaw + fSinRoll * fSinPitchSinYaw;
-}
-
-// ---------------------------------------------------------------------------
-// Returns a matrix representation of the quaternion
-inline aiMatrix3x3 aiQuaternion::GetMatrix() const
-{
- aiMatrix3x3 resMatrix;
- resMatrix.a1 = 1.0f - 2.0f * (y * y + z * z);
- resMatrix.a2 = 2.0f * (x * y - z * w);
- resMatrix.a3 = 2.0f * (x * z + y * w);
- resMatrix.b1 = 2.0f * (x * y + z * w);
- resMatrix.b2 = 1.0f - 2.0f * (x * x + z * z);
- resMatrix.b3 = 2.0f * (y * z - x * w);
- resMatrix.c1 = 2.0f * (x * z - y * w);
- resMatrix.c2 = 2.0f * (y * z + x * w);
- resMatrix.c3 = 1.0f - 2.0f * (x * x + y * y);
-
- return resMatrix;
-}
-
-// ---------------------------------------------------------------------------
-// Construction from an axis-angle pair
-inline aiQuaternion::aiQuaternion( aiVector3D axis, float angle)
-{
- axis.Normalize();
-
- const float sin_a = sin( angle / 2 );
- const float cos_a = cos( angle / 2 );
- x = axis.x * sin_a;
- y = axis.y * sin_a;
- z = axis.z * sin_a;
- w = cos_a;
-}
-// ---------------------------------------------------------------------------
-// Construction from am existing, normalized quaternion
-inline aiQuaternion::aiQuaternion( aiVector3D normalized)
-{
- x = normalized.x;
- y = normalized.y;
- z = normalized.z;
-
- const float t = 1.0f - (x*x) - (y*y) - (z*z);
-
- if (t < 0.0f)
- w = 0.0f;
- else w = sqrt (t);
-}
-
-// ---------------------------------------------------------------------------
-// Performs a spherical interpolation between two quaternions
-// Implementation adopted from the gmtl project. All others I found on the net fail in some cases.
-// Congrats, gmtl!
-inline void aiQuaternion::Interpolate( aiQuaternion& pOut, const aiQuaternion& pStart, const aiQuaternion& pEnd, float pFactor)
-{
- // calc cosine theta
- float cosom = pStart.x * pEnd.x + pStart.y * pEnd.y + pStart.z * pEnd.z + pStart.w * pEnd.w;
-
- // adjust signs (if necessary)
- aiQuaternion end = pEnd;
- if ( cosom < 0.0f)
- {
- cosom = -cosom;
- end.x = -end.x; // Reverse all signs
- end.y = -end.y;
- end.z = -end.z;
- end.w = -end.w;
- }
-
- // Calculate coefficients
- float sclp, sclq;
- if ( (1.0f - cosom) > 0.0001f) // 0.0001 -> some epsillon
- {
- // Standard case (slerp)
- float omega, sinom;
- omega = acos( cosom); // extract theta from dot product's cos theta
- sinom = sin( omega);
- sclp = sin( (1.0f - pFactor) * omega) / sinom;
- sclq = sin( pFactor * omega) / sinom;
- } else
- {
- // Very close, do linear interp (because it's faster)
- sclp = 1.0f - pFactor;
- sclq = pFactor;
- }
-
- pOut.x = sclp * pStart.x + sclq * end.x;
- pOut.y = sclp * pStart.y + sclq * end.y;
- pOut.z = sclp * pStart.z + sclq * end.z;
- pOut.w = sclp * pStart.w + sclq * end.w;
-}
-
-// ---------------------------------------------------------------------------
-inline aiQuaternion& aiQuaternion::Normalize()
-{
- // compute the magnitude and divide through it
- const float mag = x*x+y*y+z*z+w*w;
- if (mag)
- {
- x /= mag;
- y /= mag;
- z /= mag;
- w /= mag;
- }
- return *this;
-}
-
-// ---------------------------------------------------------------------------
-inline aiQuaternion aiQuaternion::operator* (const aiQuaternion& t) const
-{
- return aiQuaternion(w*t.w - x*t.x - y*t.y - z*t.z,
- w*t.x + x*t.w + y*t.z - z*t.y,
- w*t.y + y*t.w + z*t.x - x*t.z,
- w*t.z + z*t.w + x*t.y - y*t.x);
-}
-
-// ---------------------------------------------------------------------------
-inline aiQuaternion& aiQuaternion::Conjugate ()
-{
- x = -x;
- y = -y;
- z = -z;
- return *this;
-}
-
-// ---------------------------------------------------------------------------
-inline aiVector3D aiQuaternion::Rotate (const aiVector3D& v)
-{
- aiQuaternion q2(0.f,v.x,v.y,v.z), q = *this, qinv = q;
- q.Conjugate();
-
- q = q*q2*qinv;
- return aiVector3D(q.x,q.y,q.z);
-
-}
-
-} // end extern "C"
-
-#endif // __cplusplus
-
-#endif // AI_QUATERNION_H_INC