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diff --git a/extern/bullet2/LinearMath/btMatrix3x3.h b/extern/bullet2/LinearMath/btMatrix3x3.h new file mode 100644 index 00000000000..3c37f6e4f1b --- /dev/null +++ b/extern/bullet2/LinearMath/btMatrix3x3.h @@ -0,0 +1,688 @@ +/* +Copyright (c) 2003-2006 Gino van den Bergen / Erwin Coumans http://continuousphysics.com/Bullet/ + +This software is provided 'as-is', without any express or implied warranty. +In no event will the authors be held liable for any damages arising from the use of this software. +Permission is granted to anyone to use this software for any purpose, +including commercial applications, and to alter it and redistribute it freely, +subject to the following restrictions: + +1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. +2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. +3. This notice may not be removed or altered from any source distribution. +*/ + + +#ifndef BT_MATRIX3x3_H +#define BT_MATRIX3x3_H + +#include "btVector3.h" +#include "btQuaternion.h" + +#ifdef BT_USE_DOUBLE_PRECISION +#define btMatrix3x3Data btMatrix3x3DoubleData +#else +#define btMatrix3x3Data btMatrix3x3FloatData +#endif //BT_USE_DOUBLE_PRECISION + + +/**@brief The btMatrix3x3 class implements a 3x3 rotation matrix, to perform linear algebra in combination with btQuaternion, btTransform and btVector3. +* Make sure to only include a pure orthogonal matrix without scaling. */ +class btMatrix3x3 { + + ///Data storage for the matrix, each vector is a row of the matrix + btVector3 m_el[3]; + +public: + /** @brief No initializaion constructor */ + btMatrix3x3 () {} + + // explicit btMatrix3x3(const btScalar *m) { setFromOpenGLSubMatrix(m); } + + /**@brief Constructor from Quaternion */ + explicit btMatrix3x3(const btQuaternion& q) { setRotation(q); } + /* + template <typename btScalar> + Matrix3x3(const btScalar& yaw, const btScalar& pitch, const btScalar& roll) + { + setEulerYPR(yaw, pitch, roll); + } + */ + /** @brief Constructor with row major formatting */ + btMatrix3x3(const btScalar& xx, const btScalar& xy, const btScalar& xz, + const btScalar& yx, const btScalar& yy, const btScalar& yz, + const btScalar& zx, const btScalar& zy, const btScalar& zz) + { + setValue(xx, xy, xz, + yx, yy, yz, + zx, zy, zz); + } + /** @brief Copy constructor */ + SIMD_FORCE_INLINE btMatrix3x3 (const btMatrix3x3& other) + { + m_el[0] = other.m_el[0]; + m_el[1] = other.m_el[1]; + m_el[2] = other.m_el[2]; + } + /** @brief Assignment Operator */ + SIMD_FORCE_INLINE btMatrix3x3& operator=(const btMatrix3x3& other) + { + m_el[0] = other.m_el[0]; + m_el[1] = other.m_el[1]; + m_el[2] = other.m_el[2]; + return *this; + } + + /** @brief Get a column of the matrix as a vector + * @param i Column number 0 indexed */ + SIMD_FORCE_INLINE btVector3 getColumn(int i) const + { + return btVector3(m_el[0][i],m_el[1][i],m_el[2][i]); + } + + + /** @brief Get a row of the matrix as a vector + * @param i Row number 0 indexed */ + SIMD_FORCE_INLINE const btVector3& getRow(int i) const + { + btFullAssert(0 <= i && i < 3); + return m_el[i]; + } + + /** @brief Get a mutable reference to a row of the matrix as a vector + * @param i Row number 0 indexed */ + SIMD_FORCE_INLINE btVector3& operator[](int i) + { + btFullAssert(0 <= i && i < 3); + return m_el[i]; + } + + /** @brief Get a const reference to a row of the matrix as a vector + * @param i Row number 0 indexed */ + SIMD_FORCE_INLINE const btVector3& operator[](int i) const + { + btFullAssert(0 <= i && i < 3); + return m_el[i]; + } + + /** @brief Multiply by the target matrix on the right + * @param m Rotation matrix to be applied + * Equivilant to this = this * m */ + btMatrix3x3& operator*=(const btMatrix3x3& m); + + /** @brief Set from a carray of btScalars + * @param m A pointer to the beginning of an array of 9 btScalars */ + void setFromOpenGLSubMatrix(const btScalar *m) + { + m_el[0].setValue(m[0],m[4],m[8]); + m_el[1].setValue(m[1],m[5],m[9]); + m_el[2].setValue(m[2],m[6],m[10]); + + } + /** @brief Set the values of the matrix explicitly (row major) + * @param xx Top left + * @param xy Top Middle + * @param xz Top Right + * @param yx Middle Left + * @param yy Middle Middle + * @param yz Middle Right + * @param zx Bottom Left + * @param zy Bottom Middle + * @param zz Bottom Right*/ + void setValue(const btScalar& xx, const btScalar& xy, const btScalar& xz, + const btScalar& yx, const btScalar& yy, const btScalar& yz, + const btScalar& zx, const btScalar& zy, const btScalar& zz) + { + m_el[0].setValue(xx,xy,xz); + m_el[1].setValue(yx,yy,yz); + m_el[2].setValue(zx,zy,zz); + } + + /** @brief Set the matrix from a quaternion + * @param q The Quaternion to match */ + void setRotation(const btQuaternion& q) + { + btScalar d = q.length2(); + btFullAssert(d != btScalar(0.0)); + btScalar s = btScalar(2.0) / d; + btScalar xs = q.x() * s, ys = q.y() * s, zs = q.z() * s; + btScalar wx = q.w() * xs, wy = q.w() * ys, wz = q.w() * zs; + btScalar xx = q.x() * xs, xy = q.x() * ys, xz = q.x() * zs; + btScalar yy = q.y() * ys, yz = q.y() * zs, zz = q.z() * zs; + setValue(btScalar(1.0) - (yy + zz), xy - wz, xz + wy, + xy + wz, btScalar(1.0) - (xx + zz), yz - wx, + xz - wy, yz + wx, btScalar(1.0) - (xx + yy)); + } + + + /** @brief Set the matrix from euler angles using YPR around YXZ respectively + * @param yaw Yaw about Y axis + * @param pitch Pitch about X axis + * @param roll Roll about Z axis + */ + void setEulerYPR(const btScalar& yaw, const btScalar& pitch, const btScalar& roll) + { + setEulerZYX(roll, pitch, yaw); + } + + /** @brief Set the matrix from euler angles YPR around ZYX axes + * @param eulerX Roll about X axis + * @param eulerY Pitch around Y axis + * @param eulerZ Yaw aboud Z axis + * + * These angles are used to produce a rotation matrix. The euler + * angles are applied in ZYX order. I.e a vector is first rotated + * about X then Y and then Z + **/ + void setEulerZYX(btScalar eulerX,btScalar eulerY,btScalar eulerZ) { + ///@todo proposed to reverse this since it's labeled zyx but takes arguments xyz and it will match all other parts of the code + btScalar ci ( btCos(eulerX)); + btScalar cj ( btCos(eulerY)); + btScalar ch ( btCos(eulerZ)); + btScalar si ( btSin(eulerX)); + btScalar sj ( btSin(eulerY)); + btScalar sh ( btSin(eulerZ)); + btScalar cc = ci * ch; + btScalar cs = ci * sh; + btScalar sc = si * ch; + btScalar ss = si * sh; + + setValue(cj * ch, sj * sc - cs, sj * cc + ss, + cj * sh, sj * ss + cc, sj * cs - sc, + -sj, cj * si, cj * ci); + } + + /**@brief Set the matrix to the identity */ + void setIdentity() + { + setValue(btScalar(1.0), btScalar(0.0), btScalar(0.0), + btScalar(0.0), btScalar(1.0), btScalar(0.0), + btScalar(0.0), btScalar(0.0), btScalar(1.0)); + } + + static const btMatrix3x3& getIdentity() + { + static const btMatrix3x3 identityMatrix(btScalar(1.0), btScalar(0.0), btScalar(0.0), + btScalar(0.0), btScalar(1.0), btScalar(0.0), + btScalar(0.0), btScalar(0.0), btScalar(1.0)); + return identityMatrix; + } + + /**@brief Fill the values of the matrix into a 9 element array + * @param m The array to be filled */ + void getOpenGLSubMatrix(btScalar *m) const + { + m[0] = btScalar(m_el[0].x()); + m[1] = btScalar(m_el[1].x()); + m[2] = btScalar(m_el[2].x()); + m[3] = btScalar(0.0); + m[4] = btScalar(m_el[0].y()); + m[5] = btScalar(m_el[1].y()); + m[6] = btScalar(m_el[2].y()); + m[7] = btScalar(0.0); + m[8] = btScalar(m_el[0].z()); + m[9] = btScalar(m_el[1].z()); + m[10] = btScalar(m_el[2].z()); + m[11] = btScalar(0.0); + } + + /**@brief Get the matrix represented as a quaternion + * @param q The quaternion which will be set */ + void getRotation(btQuaternion& q) const + { + btScalar trace = m_el[0].x() + m_el[1].y() + m_el[2].z(); + btScalar temp[4]; + + if (trace > btScalar(0.0)) + { + btScalar s = btSqrt(trace + btScalar(1.0)); + temp[3]=(s * btScalar(0.5)); + s = btScalar(0.5) / s; + + temp[0]=((m_el[2].y() - m_el[1].z()) * s); + temp[1]=((m_el[0].z() - m_el[2].x()) * s); + temp[2]=((m_el[1].x() - m_el[0].y()) * s); + } + else + { + int i = m_el[0].x() < m_el[1].y() ? + (m_el[1].y() < m_el[2].z() ? 2 : 1) : + (m_el[0].x() < m_el[2].z() ? 2 : 0); + int j = (i + 1) % 3; + int k = (i + 2) % 3; + + btScalar s = btSqrt(m_el[i][i] - m_el[j][j] - m_el[k][k] + btScalar(1.0)); + temp[i] = s * btScalar(0.5); + s = btScalar(0.5) / s; + + temp[3] = (m_el[k][j] - m_el[j][k]) * s; + temp[j] = (m_el[j][i] + m_el[i][j]) * s; + temp[k] = (m_el[k][i] + m_el[i][k]) * s; + } + q.setValue(temp[0],temp[1],temp[2],temp[3]); + } + + /**@brief Get the matrix represented as euler angles around YXZ, roundtrip with setEulerYPR + * @param yaw Yaw around Y axis + * @param pitch Pitch around X axis + * @param roll around Z axis */ + void getEulerYPR(btScalar& yaw, btScalar& pitch, btScalar& roll) const + { + + // first use the normal calculus + yaw = btScalar(btAtan2(m_el[1].x(), m_el[0].x())); + pitch = btScalar(btAsin(-m_el[2].x())); + roll = btScalar(btAtan2(m_el[2].y(), m_el[2].z())); + + // on pitch = +/-HalfPI + if (btFabs(pitch)==SIMD_HALF_PI) + { + if (yaw>0) + yaw-=SIMD_PI; + else + yaw+=SIMD_PI; + + if (roll>0) + roll-=SIMD_PI; + else + roll+=SIMD_PI; + } + }; + + + /**@brief Get the matrix represented as euler angles around ZYX + * @param yaw Yaw around X axis + * @param pitch Pitch around Y axis + * @param roll around X axis + * @param solution_number Which solution of two possible solutions ( 1 or 2) are possible values*/ + void getEulerZYX(btScalar& yaw, btScalar& pitch, btScalar& roll, unsigned int solution_number = 1) const + { + struct Euler + { + btScalar yaw; + btScalar pitch; + btScalar roll; + }; + + Euler euler_out; + Euler euler_out2; //second solution + //get the pointer to the raw data + + // Check that pitch is not at a singularity + if (btFabs(m_el[2].x()) >= 1) + { + euler_out.yaw = 0; + euler_out2.yaw = 0; + + // From difference of angles formula + btScalar delta = btAtan2(m_el[0].x(),m_el[0].z()); + if (m_el[2].x() > 0) //gimbal locked up + { + euler_out.pitch = SIMD_PI / btScalar(2.0); + euler_out2.pitch = SIMD_PI / btScalar(2.0); + euler_out.roll = euler_out.pitch + delta; + euler_out2.roll = euler_out.pitch + delta; + } + else // gimbal locked down + { + euler_out.pitch = -SIMD_PI / btScalar(2.0); + euler_out2.pitch = -SIMD_PI / btScalar(2.0); + euler_out.roll = -euler_out.pitch + delta; + euler_out2.roll = -euler_out.pitch + delta; + } + } + else + { + euler_out.pitch = - btAsin(m_el[2].x()); + euler_out2.pitch = SIMD_PI - euler_out.pitch; + + euler_out.roll = btAtan2(m_el[2].y()/btCos(euler_out.pitch), + m_el[2].z()/btCos(euler_out.pitch)); + euler_out2.roll = btAtan2(m_el[2].y()/btCos(euler_out2.pitch), + m_el[2].z()/btCos(euler_out2.pitch)); + + euler_out.yaw = btAtan2(m_el[1].x()/btCos(euler_out.pitch), + m_el[0].x()/btCos(euler_out.pitch)); + euler_out2.yaw = btAtan2(m_el[1].x()/btCos(euler_out2.pitch), + m_el[0].x()/btCos(euler_out2.pitch)); + } + + if (solution_number == 1) + { + yaw = euler_out.yaw; + pitch = euler_out.pitch; + roll = euler_out.roll; + } + else + { + yaw = euler_out2.yaw; + pitch = euler_out2.pitch; + roll = euler_out2.roll; + } + } + + /**@brief Create a scaled copy of the matrix + * @param s Scaling vector The elements of the vector will scale each column */ + + btMatrix3x3 scaled(const btVector3& s) const + { + return btMatrix3x3(m_el[0].x() * s.x(), m_el[0].y() * s.y(), m_el[0].z() * s.z(), + m_el[1].x() * s.x(), m_el[1].y() * s.y(), m_el[1].z() * s.z(), + m_el[2].x() * s.x(), m_el[2].y() * s.y(), m_el[2].z() * s.z()); + } + + /**@brief Return the determinant of the matrix */ + btScalar determinant() const; + /**@brief Return the adjoint of the matrix */ + btMatrix3x3 adjoint() const; + /**@brief Return the matrix with all values non negative */ + btMatrix3x3 absolute() const; + /**@brief Return the transpose of the matrix */ + btMatrix3x3 transpose() const; + /**@brief Return the inverse of the matrix */ + btMatrix3x3 inverse() const; + + btMatrix3x3 transposeTimes(const btMatrix3x3& m) const; + btMatrix3x3 timesTranspose(const btMatrix3x3& m) const; + + SIMD_FORCE_INLINE btScalar tdotx(const btVector3& v) const + { + return m_el[0].x() * v.x() + m_el[1].x() * v.y() + m_el[2].x() * v.z(); + } + SIMD_FORCE_INLINE btScalar tdoty(const btVector3& v) const + { + return m_el[0].y() * v.x() + m_el[1].y() * v.y() + m_el[2].y() * v.z(); + } + SIMD_FORCE_INLINE btScalar tdotz(const btVector3& v) const + { + return m_el[0].z() * v.x() + m_el[1].z() * v.y() + m_el[2].z() * v.z(); + } + + + /**@brief diagonalizes this matrix by the Jacobi method. + * @param rot stores the rotation from the coordinate system in which the matrix is diagonal to the original + * coordinate system, i.e., old_this = rot * new_this * rot^T. + * @param threshold See iteration + * @param iteration The iteration stops when all off-diagonal elements are less than the threshold multiplied + * by the sum of the absolute values of the diagonal, or when maxSteps have been executed. + * + * Note that this matrix is assumed to be symmetric. + */ + void diagonalize(btMatrix3x3& rot, btScalar threshold, int maxSteps) + { + rot.setIdentity(); + for (int step = maxSteps; step > 0; step--) + { + // find off-diagonal element [p][q] with largest magnitude + int p = 0; + int q = 1; + int r = 2; + btScalar max = btFabs(m_el[0][1]); + btScalar v = btFabs(m_el[0][2]); + if (v > max) + { + q = 2; + r = 1; + max = v; + } + v = btFabs(m_el[1][2]); + if (v > max) + { + p = 1; + q = 2; + r = 0; + max = v; + } + + btScalar t = threshold * (btFabs(m_el[0][0]) + btFabs(m_el[1][1]) + btFabs(m_el[2][2])); + if (max <= t) + { + if (max <= SIMD_EPSILON * t) + { + return; + } + step = 1; + } + + // compute Jacobi rotation J which leads to a zero for element [p][q] + btScalar mpq = m_el[p][q]; + btScalar theta = (m_el[q][q] - m_el[p][p]) / (2 * mpq); + btScalar theta2 = theta * theta; + btScalar cos; + btScalar sin; + if (theta2 * theta2 < btScalar(10 / SIMD_EPSILON)) + { + t = (theta >= 0) ? 1 / (theta + btSqrt(1 + theta2)) + : 1 / (theta - btSqrt(1 + theta2)); + cos = 1 / btSqrt(1 + t * t); + sin = cos * t; + } + else + { + // approximation for large theta-value, i.e., a nearly diagonal matrix + t = 1 / (theta * (2 + btScalar(0.5) / theta2)); + cos = 1 - btScalar(0.5) * t * t; + sin = cos * t; + } + + // apply rotation to matrix (this = J^T * this * J) + m_el[p][q] = m_el[q][p] = 0; + m_el[p][p] -= t * mpq; + m_el[q][q] += t * mpq; + btScalar mrp = m_el[r][p]; + btScalar mrq = m_el[r][q]; + m_el[r][p] = m_el[p][r] = cos * mrp - sin * mrq; + m_el[r][q] = m_el[q][r] = cos * mrq + sin * mrp; + + // apply rotation to rot (rot = rot * J) + for (int i = 0; i < 3; i++) + { + btVector3& row = rot[i]; + mrp = row[p]; + mrq = row[q]; + row[p] = cos * mrp - sin * mrq; + row[q] = cos * mrq + sin * mrp; + } + } + } + + + + + /**@brief Calculate the matrix cofactor + * @param r1 The first row to use for calculating the cofactor + * @param c1 The first column to use for calculating the cofactor + * @param r1 The second row to use for calculating the cofactor + * @param c1 The second column to use for calculating the cofactor + * See http://en.wikipedia.org/wiki/Cofactor_(linear_algebra) for more details + */ + btScalar cofac(int r1, int c1, int r2, int c2) const + { + return m_el[r1][c1] * m_el[r2][c2] - m_el[r1][c2] * m_el[r2][c1]; + } + + void serialize(struct btMatrix3x3Data& dataOut) const; + + void serializeFloat(struct btMatrix3x3FloatData& dataOut) const; + + void deSerialize(const struct btMatrix3x3Data& dataIn); + + void deSerializeFloat(const struct btMatrix3x3FloatData& dataIn); + + void deSerializeDouble(const struct btMatrix3x3DoubleData& dataIn); + +}; + + +SIMD_FORCE_INLINE btMatrix3x3& +btMatrix3x3::operator*=(const btMatrix3x3& m) +{ + setValue(m.tdotx(m_el[0]), m.tdoty(m_el[0]), m.tdotz(m_el[0]), + m.tdotx(m_el[1]), m.tdoty(m_el[1]), m.tdotz(m_el[1]), + m.tdotx(m_el[2]), m.tdoty(m_el[2]), m.tdotz(m_el[2])); + return *this; +} + +SIMD_FORCE_INLINE btScalar +btMatrix3x3::determinant() const +{ + return btTriple((*this)[0], (*this)[1], (*this)[2]); +} + + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::absolute() const +{ + return btMatrix3x3( + btFabs(m_el[0].x()), btFabs(m_el[0].y()), btFabs(m_el[0].z()), + btFabs(m_el[1].x()), btFabs(m_el[1].y()), btFabs(m_el[1].z()), + btFabs(m_el[2].x()), btFabs(m_el[2].y()), btFabs(m_el[2].z())); +} + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::transpose() const +{ + return btMatrix3x3(m_el[0].x(), m_el[1].x(), m_el[2].x(), + m_el[0].y(), m_el[1].y(), m_el[2].y(), + m_el[0].z(), m_el[1].z(), m_el[2].z()); +} + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::adjoint() const +{ + return btMatrix3x3(cofac(1, 1, 2, 2), cofac(0, 2, 2, 1), cofac(0, 1, 1, 2), + cofac(1, 2, 2, 0), cofac(0, 0, 2, 2), cofac(0, 2, 1, 0), + cofac(1, 0, 2, 1), cofac(0, 1, 2, 0), cofac(0, 0, 1, 1)); +} + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::inverse() const +{ + btVector3 co(cofac(1, 1, 2, 2), cofac(1, 2, 2, 0), cofac(1, 0, 2, 1)); + btScalar det = (*this)[0].dot(co); + btFullAssert(det != btScalar(0.0)); + btScalar s = btScalar(1.0) / det; + return btMatrix3x3(co.x() * s, cofac(0, 2, 2, 1) * s, cofac(0, 1, 1, 2) * s, + co.y() * s, cofac(0, 0, 2, 2) * s, cofac(0, 2, 1, 0) * s, + co.z() * s, cofac(0, 1, 2, 0) * s, cofac(0, 0, 1, 1) * s); +} + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::transposeTimes(const btMatrix3x3& m) const +{ + return btMatrix3x3( + m_el[0].x() * m[0].x() + m_el[1].x() * m[1].x() + m_el[2].x() * m[2].x(), + m_el[0].x() * m[0].y() + m_el[1].x() * m[1].y() + m_el[2].x() * m[2].y(), + m_el[0].x() * m[0].z() + m_el[1].x() * m[1].z() + m_el[2].x() * m[2].z(), + m_el[0].y() * m[0].x() + m_el[1].y() * m[1].x() + m_el[2].y() * m[2].x(), + m_el[0].y() * m[0].y() + m_el[1].y() * m[1].y() + m_el[2].y() * m[2].y(), + m_el[0].y() * m[0].z() + m_el[1].y() * m[1].z() + m_el[2].y() * m[2].z(), + m_el[0].z() * m[0].x() + m_el[1].z() * m[1].x() + m_el[2].z() * m[2].x(), + m_el[0].z() * m[0].y() + m_el[1].z() * m[1].y() + m_el[2].z() * m[2].y(), + m_el[0].z() * m[0].z() + m_el[1].z() * m[1].z() + m_el[2].z() * m[2].z()); +} + +SIMD_FORCE_INLINE btMatrix3x3 +btMatrix3x3::timesTranspose(const btMatrix3x3& m) const +{ + return btMatrix3x3( + m_el[0].dot(m[0]), m_el[0].dot(m[1]), m_el[0].dot(m[2]), + m_el[1].dot(m[0]), m_el[1].dot(m[1]), m_el[1].dot(m[2]), + m_el[2].dot(m[0]), m_el[2].dot(m[1]), m_el[2].dot(m[2])); + +} + +SIMD_FORCE_INLINE btVector3 +operator*(const btMatrix3x3& m, const btVector3& v) +{ + return btVector3(m[0].dot(v), m[1].dot(v), m[2].dot(v)); +} + + +SIMD_FORCE_INLINE btVector3 +operator*(const btVector3& v, const btMatrix3x3& m) +{ + return btVector3(m.tdotx(v), m.tdoty(v), m.tdotz(v)); +} + +SIMD_FORCE_INLINE btMatrix3x3 +operator*(const btMatrix3x3& m1, const btMatrix3x3& m2) +{ + return btMatrix3x3( + m2.tdotx( m1[0]), m2.tdoty( m1[0]), m2.tdotz( m1[0]), + m2.tdotx( m1[1]), m2.tdoty( m1[1]), m2.tdotz( m1[1]), + m2.tdotx( m1[2]), m2.tdoty( m1[2]), m2.tdotz( m1[2])); +} + +/* +SIMD_FORCE_INLINE btMatrix3x3 btMultTransposeLeft(const btMatrix3x3& m1, const btMatrix3x3& m2) { +return btMatrix3x3( +m1[0][0] * m2[0][0] + m1[1][0] * m2[1][0] + m1[2][0] * m2[2][0], +m1[0][0] * m2[0][1] + m1[1][0] * m2[1][1] + m1[2][0] * m2[2][1], +m1[0][0] * m2[0][2] + m1[1][0] * m2[1][2] + m1[2][0] * m2[2][2], +m1[0][1] * m2[0][0] + m1[1][1] * m2[1][0] + m1[2][1] * m2[2][0], +m1[0][1] * m2[0][1] + m1[1][1] * m2[1][1] + m1[2][1] * m2[2][1], +m1[0][1] * m2[0][2] + m1[1][1] * m2[1][2] + m1[2][1] * m2[2][2], +m1[0][2] * m2[0][0] + m1[1][2] * m2[1][0] + m1[2][2] * m2[2][0], +m1[0][2] * m2[0][1] + m1[1][2] * m2[1][1] + m1[2][2] * m2[2][1], +m1[0][2] * m2[0][2] + m1[1][2] * m2[1][2] + m1[2][2] * m2[2][2]); +} +*/ + +/**@brief Equality operator between two matrices +* It will test all elements are equal. */ +SIMD_FORCE_INLINE bool operator==(const btMatrix3x3& m1, const btMatrix3x3& m2) +{ + return ( m1[0][0] == m2[0][0] && m1[1][0] == m2[1][0] && m1[2][0] == m2[2][0] && + m1[0][1] == m2[0][1] && m1[1][1] == m2[1][1] && m1[2][1] == m2[2][1] && + m1[0][2] == m2[0][2] && m1[1][2] == m2[1][2] && m1[2][2] == m2[2][2] ); +} + +///for serialization +struct btMatrix3x3FloatData +{ + btVector3FloatData m_el[3]; +}; + +///for serialization +struct btMatrix3x3DoubleData +{ + btVector3DoubleData m_el[3]; +}; + + + + +SIMD_FORCE_INLINE void btMatrix3x3::serialize(struct btMatrix3x3Data& dataOut) const +{ + for (int i=0;i<3;i++) + m_el[i].serialize(dataOut.m_el[i]); +} + +SIMD_FORCE_INLINE void btMatrix3x3::serializeFloat(struct btMatrix3x3FloatData& dataOut) const +{ + for (int i=0;i<3;i++) + m_el[i].serializeFloat(dataOut.m_el[i]); +} + + +SIMD_FORCE_INLINE void btMatrix3x3::deSerialize(const struct btMatrix3x3Data& dataIn) +{ + for (int i=0;i<3;i++) + m_el[i].deSerialize(dataIn.m_el[i]); +} + +SIMD_FORCE_INLINE void btMatrix3x3::deSerializeFloat(const struct btMatrix3x3FloatData& dataIn) +{ + for (int i=0;i<3;i++) + m_el[i].deSerializeFloat(dataIn.m_el[i]); +} + +SIMD_FORCE_INLINE void btMatrix3x3::deSerializeDouble(const struct btMatrix3x3DoubleData& dataIn) +{ + for (int i=0;i<3;i++) + m_el[i].deSerializeDouble(dataIn.m_el[i]); +} + +#endif //BT_MATRIX3x3_H + |