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namespace oopse { | 
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  Ellipsoid::Ellipsoid(Vector3d origin, double rMajor, double rMinor,Mat3x3d rotMat)  | 
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  Ellipsoid::Ellipsoid(Vector3d origin, RealType rMajor, RealType rMinor,Mat3x3d rotMat)  | 
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    : origin_(origin), rMajor_(rMajor), rMinor_(rMinor), rotMat_(rotMat) { | 
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  } | 
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  bool Ellipsoid::isInterior(Vector3d pos) { | 
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    Vector3d r = pos - origin_; | 
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    Vector3d rbody = rotMat_ * r; | 
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    double xovera = rbody[0]/rMajor_; | 
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    double yovera = rbody[1]/rMajor_; | 
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    double zoverb = rbody[2]/rMinor_; | 
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    RealType xovera = rbody[0]/rMajor_; | 
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    RealType yovera = rbody[1]/rMajor_; | 
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    RealType zoverb = rbody[2]/rMinor_; | 
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    bool result; | 
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    if (xovera*xovera + yovera*yovera + zoverb*zoverb < 1) | 
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    std::pair<Vector3d, Vector3d>  boundary; | 
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    //make a cubic box | 
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    double rad  = rMajor_ > rMinor_ ? rMajor_ : rMinor_;  | 
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    RealType rad  = rMajor_ > rMinor_ ? rMajor_ : rMinor_;  | 
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    Vector3d r(rad, rad, rad); | 
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    boundary.first = origin_ - r; | 
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    boundary.second = origin_ + r; | 
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    return boundary; | 
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  } | 
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  HydroProps Ellipsoid::getHydroProps(double viscosity, double temperature) { | 
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  HydroProp* Ellipsoid::getHydroProp(RealType viscosity, RealType temperature) { | 
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    double a = rMinor_; | 
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    double b = rMajor_; | 
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    double a2 = a * a; | 
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    double b2 = b* b; | 
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    RealType a = rMinor_; | 
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    RealType b = rMajor_; | 
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    RealType a2 = a * a; | 
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    RealType b2 = b* b; | 
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    double p = a /b; | 
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    double S; | 
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    RealType p = a /b; | 
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    RealType S; | 
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    if (p > 1.0) { //prolate | 
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      S = 2.0/sqrt(a2 - b2) * log((a + sqrt(a2-b2))/b); | 
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    } else { //oblate | 
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      S = 2.0/sqrt(b2 - a2) * atan(sqrt(b2-a2)/a); | 
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    } | 
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    double P = 1.0/(a2 - b2) * (S - 2.0/a); | 
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    double Q = 0.5/(a2-b2) * (2.0*a/b2 - S); | 
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    RealType P = 1.0/(a2 - b2) * (S - 2.0/a); | 
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    RealType Q = 0.5/(a2-b2) * (2.0*a/b2 - S); | 
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    double transMinor = 16.0 * NumericConstant::PI * viscosity * (a2 - b2) /((2.0*a2-b2)*S -2.0*a); | 
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    double transMajor = 32.0 * NumericConstant::PI * viscosity * (a2 - b2) /((2.0*a2-3.0*b2)*S +2.0*a); | 
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    double rotMinor = 32.0/3.0 * NumericConstant::PI * viscosity *(a2 - b2) * b2 /(2.0*a -b2*S); | 
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    double rotMajor = 32.0/3.0 * NumericConstant::PI * viscosity *(a2*a2 - b2*b2)/((2.0*a2-b2)*S-2.0*a); | 
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    RealType transMinor = 16.0 * NumericConstant::PI * viscosity * (a2 - b2) /((2.0*a2-b2)*S -2.0*a); | 
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    RealType transMajor = 32.0 * NumericConstant::PI * viscosity * (a2 - b2) /((2.0*a2-3.0*b2)*S +2.0*a); | 
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    RealType rotMinor = 32.0/3.0 * NumericConstant::PI * viscosity *(a2 - b2) * b2 /(2.0*a -b2*S); | 
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    RealType rotMajor = 32.0/3.0 * NumericConstant::PI * viscosity *(a2*a2 - b2*b2)/((2.0*a2-b2)*S-2.0*a); | 
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    HydroProps props; | 
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    Mat6x6d Xi, XiCopy, D; | 
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    props.Xi(0,0) = transMajor; | 
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    props.Xi(1,1) = transMajor; | 
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    props.Xi(2,2) = transMinor; | 
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    props.Xi(3,3) = rotMajor; | 
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    props.Xi(4,4) = rotMajor; | 
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    props.Xi(5,5) = rotMinor; | 
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    Xi(0,0) = transMajor; | 
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    Xi(1,1) = transMajor; | 
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    Xi(2,2) = transMinor; | 
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    Xi(3,3) = rotMajor; | 
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    Xi(4,4) = rotMajor; | 
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    Xi(5,5) = rotMinor; | 
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    const double convertConstant = 6.023; //convert poise.angstrom to amu/fs | 
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    props.Xi *= convertConstant;     | 
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    const RealType convertConstant = 6.023; //convert poise.angstrom to amu/fs | 
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    Xi *= convertConstant;     | 
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    Mat6x6d XiCopy = props.Xi; | 
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    invertMatrix(XiCopy, props.D); | 
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    double kt = OOPSEConstant::kB * temperature; | 
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    props.D *= kt; | 
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    props.Xi *= OOPSEConstant::kb * temperature; | 
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    XiCopy = Xi; | 
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    invertMatrix(XiCopy, D); | 
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    RealType kt = OOPSEConstant::kB * temperature; | 
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    D *= kt; | 
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    Xi *= OOPSEConstant::kb * temperature; | 
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    return props; | 
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    HydroProp* hprop = new HydroProp(V3Zero, Xi, D); | 
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    return hprop; | 
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  }   | 
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} |