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C++ Vector3s::asDiagonal方法代码示例

本文整理汇总了C++中Vector3s::asDiagonal方法的典型用法代码示例。如果您正苦于以下问题:C++ Vector3s::asDiagonal方法的具体用法?C++ Vector3s::asDiagonal怎么用?C++ Vector3s::asDiagonal使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在Vector3s的用法示例。


在下文中一共展示了Vector3s::asDiagonal方法的1个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的C++代码示例。

示例1: computeMoments


//.........这里部分代码省略.........
    const Vector3s N{ ( v1 - v0 ).cross( v2 - v0 ) };

    // Compute the integral terms
    scalar tmp0{ v0.x() + v1.x() };
    scalar tmp1{ v0.x() * v0.x() };
    scalar tmp2{ tmp1 + v1.x() * tmp0 };
    const scalar f1x{ tmp0 + v2.x() };
    const scalar f2x{ tmp2 + v2.x() * f1x };
    const scalar f3x{ v0.x() * tmp1 + v1.x() * tmp2 + v2.x() * f2x };
    const scalar g0x{ f2x + v0.x() * ( f1x + v0.x() ) };
    const scalar g1x{ f2x + v1.x() * ( f1x + v1.x() ) };
    const scalar g2x{ f2x + v2.x() * ( f1x + v2.x() ) };
    
    tmp0 = v0.y() + v1.y();
    tmp1 = v0.y() * v0.y();
    tmp2 = tmp1 + v1.y() * tmp0;
    const scalar f1y{ tmp0 + v2.y() };
    const scalar f2y{ tmp2 + v2.y() * f1y };
    const scalar f3y{ v0.y() * tmp1 + v1.y() * tmp2 + v2.y() * f2y };
    const scalar g0y{ f2y + v0.y() * ( f1y + v0.y() ) };
    const scalar g1y{ f2y + v1.y() * ( f1y + v1.y() ) };
    const scalar g2y{ f2y + v2.y() * ( f1y + v2.y() ) };
    
    tmp0 = v0.z() + v1.z();
    tmp1 = v0.z()*v0.z();
    tmp2 = tmp1 + v1.z()*tmp0;
    const scalar f1z{ tmp0 + v2.z() };
    const scalar f2z{ tmp2 + v2.z() * f1z };
    const scalar f3z{ v0.z() * tmp1 + v1.z() * tmp2 + v2.z() * f2z };
    const scalar g0z{ f2z + v0.z() * ( f1z + v0.z() ) };
    const scalar g1z{ f2z + v1.z() * ( f1z + v1.z() ) };
    const scalar g2z{ f2z + v2.z() * ( f1z + v2.z() ) };
    
    // Update integrals
    integral(0) += N.x() * f1x;
    integral(1) += N.x() * f2x;
    integral(2) += N.y() * f2y;
    integral(3) += N.z() * f2z;
    integral(4) += N.x() * f3x;
    integral(5) += N.y() * f3y;
    integral(6) += N.z() * f3z;
    integral(7) += N.x() * ( v0.y() * g0x + v1.y() * g1x + v2.y() * g2x );
    integral(8) += N.y() * ( v0.z() * g0y + v1.z() * g1y + v2.z() * g2y );
    integral(9) += N.z() * ( v0.x() * g0z + v1.x() * g1z + v2.x() * g2z );
  }
  
  integral(0) *= oneDiv6;
  integral(1) *= oneDiv24;
  integral(2) *= oneDiv24;
  integral(3) *= oneDiv24;
  integral(4) *= oneDiv60;
  integral(5) *= oneDiv60;
  integral(6) *= oneDiv60;
  integral(7) *= oneDiv120;
  integral(8) *= oneDiv120;
  integral(9) *= oneDiv120;
  
  // Mass
  mass = integral(0);
  
  // Center of mass
  center = Vector3s( integral(1), integral(2), integral(3) )/mass;
  
  // Inertia relative to world origin
  R(0,0) = integral(5) + integral(6);
  R(0,1) = -integral(7);
  R(0,2) = -integral(9);
  R(1,0) = R(0,1);
  R(1,1) = integral(4) + integral(6);
  R(1,2) = -integral(8);
  R(2,0) = R(0,2);
  R(2,1) = R(1,2);
  R(2,2) = integral(4) + integral(5);
  
  // Comptue the inertia relative to the center of mass
  R(0,0) -= mass * ( center.y() * center.y() + center.z() * center.z() );
  R(0,1) += mass * center.x() * center.y();
  R(0,2) += mass * center.z() * center.x();
  R(1,0) = R(0,1);
  R(1,1) -= mass * ( center.z() * center.z() + center.x() * center.x() );
  R(1,2) += mass * center.y() * center.z();
  R(2,0) = R(0,2);
  R(2,1) = R(1,2);
  R(2,2) -= mass * ( center.x() * center.x() + center.y() * center.y() );

  // Diagonalize the inertia tensor
  Matrix3s R0;
  diagonalizeInertiaTensor( R, R0, I );

  // Check that we actually diagonalized the inertia tensor
  assert( ( R0 * Matrix3s( I.asDiagonal() ) * R0.transpose() - R ).lpNorm<Eigen::Infinity>() <= 1.0e-6 );
  assert( ( Matrix3s( I.asDiagonal() ) - R0.transpose() * R * R0 ).lpNorm<Eigen::Infinity>() <= 1.0e-6 );
  R = R0;

  // All inertias should be positive
  assert( ( I.array() > 0.0 ).all() );
  // Check that we have an orthonormal transformation
  assert( ( R * R.transpose() - Matrix3s::Identity() ).lpNorm<Eigen::Infinity>() <= 1.0e-6 );
  assert( fabs( R.determinant() - 1.0 ) <= 1.0e-6 );
}
开发者ID:hmazhar,项目名称:scisim,代码行数:101,代码来源:MomentTools.cpp


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