| 1 | /* | 
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| 2 | * SphericalPointDistribution.hpp | 
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| 3 | * | 
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| 4 | *  Created on: May 29, 2014 | 
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| 5 | *      Author: heber | 
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| 6 | */ | 
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| 7 |  | 
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| 8 |  | 
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| 9 | #ifndef SPHERICALPOINTDISTRIBUTION_HPP_ | 
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| 10 | #define SPHERICALPOINTDISTRIBUTION_HPP_ | 
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| 11 |  | 
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| 12 | // include config.h | 
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| 13 | #ifdef HAVE_CONFIG_H | 
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| 14 | #include <config.h> | 
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| 15 | #endif | 
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| 16 |  | 
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| 17 | #include "CodePatterns/Assert.hpp" | 
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| 18 |  | 
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| 19 | #include <cmath> | 
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| 20 | #include <list> | 
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| 21 |  | 
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| 22 | #include "LinearAlgebra/Vector.hpp" | 
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| 23 |  | 
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| 24 | /** contains getters for the VSEPR model for specific number of electrons. | 
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| 25 | * | 
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| 26 | * This struct contains specialized functions returning a list of Vectors | 
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| 27 | * (points in space) to match the VSEPR model for the given number of electrons. | 
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| 28 | * | 
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| 29 | * This is implemented via template specialization of the function get(). | 
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| 30 | * | 
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| 31 | * These specializations are taken from the python script \b CreateVspeShapes.py | 
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| 32 | * by Christian Neuen, 07th May 2009. | 
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| 33 | */ | 
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| 34 | struct SphericalPointDistribution | 
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| 35 | { | 
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| 36 | /** Cstor for SphericalPointDistribution, allows setting radius of sphere | 
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| 37 | * | 
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| 38 | * \param _BondLength desired radius of sphere | 
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| 39 | */ | 
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| 40 | SphericalPointDistribution(const double _Bondlength = 1.) : | 
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| 41 | Bondlength(_Bondlength), | 
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| 42 | SQRT_3(sqrt(3.0)) | 
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| 43 | {} | 
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| 44 |  | 
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| 45 | //!> typedef for the list of points | 
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| 46 | typedef std::list<Vector> Polygon_t; | 
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| 47 |  | 
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| 48 | /** General getter function for the distribution of points on the surface. | 
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| 49 | * | 
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| 50 | * \warn this function needs to be specialized! | 
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| 51 | * | 
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| 52 | * \return Polygon_t with points on the surface centered at (0,0,0) | 
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| 53 | */ | 
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| 54 | template <int N> Polygon_t get() | 
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| 55 | { | 
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| 56 | ASSERT(0, "SphericalPointDistribution::get() - not specialized for "+toString(N)+"."); | 
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| 57 | } | 
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| 58 |  | 
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| 59 | /** Matches a given spherical distribution with another containing more | 
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| 60 | * points. | 
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| 61 | * | 
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| 62 | * This is a helper to determine points where to best insert saturation | 
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| 63 | * hydrogens. | 
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| 64 | * | 
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| 65 | * \param _polygon current occupied positions | 
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| 66 | * \param _newpolygon ideal distribution to match best with current occupied | 
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| 67 | *        positions | 
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| 68 | * \return remaining vacant positions relative to \a _polygon | 
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| 69 | */ | 
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| 70 | static Polygon_t matchSphericalPointDistributions( | 
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| 71 | const Polygon_t &_polygon, | 
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| 72 | const Polygon_t &_newpolygon | 
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| 73 | ); | 
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| 74 |  | 
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| 75 |  | 
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| 76 | //!> default radius of the spherical distribution | 
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| 77 | const double Bondlength; | 
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| 78 | //!> precalculated value for root of 3 | 
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| 79 | const double SQRT_3; | 
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| 80 | }; | 
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| 81 |  | 
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| 82 | SphericalPointDistribution::Polygon_t | 
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| 83 | SphericalPointDistribution::matchSphericalPointDistributions( | 
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| 84 | const SphericalPointDistribution::Polygon_t &_polygon, | 
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| 85 | const SphericalPointDistribution::Polygon_t &_newpolygon | 
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| 86 | ) | 
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| 87 | { | 
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| 88 | SphericalPointDistribution::Polygon_t remainingpolygon = _newpolygon; | 
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| 89 |  | 
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| 90 | return remainingpolygon; | 
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| 91 | } | 
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| 92 |  | 
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| 93 | template <> | 
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| 94 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<2>() | 
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| 95 | { | 
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| 96 | Polygon_t polygon; | 
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| 97 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 98 | polygon.push_back( Vector(-Bondlength,0.,0.)); | 
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| 99 | ASSERT( polygon.size() == 2, | 
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| 100 | "SphericalPointDistribution::get<2>() - polygon has wrong size."); | 
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| 101 | return polygon; | 
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| 102 | } | 
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| 103 |  | 
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| 104 | template <> | 
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| 105 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<3>() | 
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| 106 | { | 
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| 107 | Polygon_t polygon; | 
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| 108 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 109 | polygon.push_back( Vector(-Bondlength*0.5, SQRT_3*0.5,0.)); | 
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| 110 | polygon.push_back( Vector(-Bondlength*0.5, -SQRT_3*0.5,0.)); | 
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| 111 | ASSERT( polygon.size() == 3, | 
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| 112 | "SphericalPointDistribution::get<3>() - polygon has wrong size."); | 
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| 113 | return polygon; | 
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| 114 | } | 
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| 115 |  | 
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| 116 | template <> | 
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| 117 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<4>() | 
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| 118 | { | 
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| 119 | Polygon_t polygon; | 
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| 120 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 121 | polygon.push_back( Vector(-Bondlength/3.0, Bondlength*2.0*M_SQRT2/3.0,0.)); | 
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| 122 | polygon.push_back( Vector(-Bondlength/3.0, -Bondlength*M_SQRT2/3.0, Bondlength*M_SQRT2/SQRT_3)); | 
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| 123 | polygon.push_back( Vector(-Bondlength/3.0, -Bondlength*M_SQRT2/3.0, -Bondlength*M_SQRT2/SQRT_3)); | 
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| 124 | ASSERT( polygon.size() == 4, | 
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| 125 | "SphericalPointDistribution::get<4>() - polygon has wrong size."); | 
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| 126 | return polygon; | 
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| 127 | } | 
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| 128 |  | 
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| 129 | template <> | 
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| 130 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<5>() | 
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| 131 | { | 
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| 132 | Polygon_t polygon; | 
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| 133 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 134 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 135 | polygon.push_back( Vector(0.0, Bondlength, 0.0)); | 
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| 136 | polygon.push_back( Vector(0.0, -Bondlength*0.5, Bondlength*SQRT_3*0.5)); | 
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| 137 | polygon.push_back( Vector(0.0, -Bondlength*0.5, -Bondlength*SQRT_3*0.5)); | 
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| 138 | ASSERT( polygon.size() == 5, | 
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| 139 | "SphericalPointDistribution::get<5>() - polygon has wrong size."); | 
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| 140 | return polygon; | 
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| 141 | } | 
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| 142 |  | 
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| 143 | template <> | 
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| 144 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<6>() | 
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| 145 | { | 
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| 146 | Polygon_t polygon; | 
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| 147 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 148 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 149 | polygon.push_back( Vector(0.0, Bondlength, 0.0)); | 
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| 150 | polygon.push_back( Vector(0.0, -Bondlength, 0.0)); | 
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| 151 | polygon.push_back( Vector(0.0, 0.0, Bondlength)); | 
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| 152 | polygon.push_back( Vector(0.0, 0.0, -Bondlength)); | 
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| 153 | ASSERT( polygon.size() == 6, | 
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| 154 | "SphericalPointDistribution::get<6>() - polygon has wrong size."); | 
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| 155 | return polygon; | 
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| 156 | } | 
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| 157 |  | 
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| 158 | template <> | 
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| 159 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<7>() | 
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| 160 | { | 
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| 161 | Polygon_t polygon; | 
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| 162 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 163 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 164 | polygon.push_back( Vector(0.0, Bondlength, 0.0)); | 
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| 165 | polygon.push_back( Vector(0.0, Bondlength*cos(M_PI*0.4), Bondlength*sin(M_PI*0.4))); | 
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| 166 | polygon.push_back( Vector(0.0, Bondlength*cos(M_PI*0.8), Bondlength*sin(M_PI*0.8))); | 
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| 167 | polygon.push_back( Vector(0.0, Bondlength*cos(M_PI*1.2), Bondlength*sin(M_PI*1.2))); | 
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| 168 | polygon.push_back( Vector(0.0, Bondlength*cos(M_PI*1.6), Bondlength*sin(M_PI*1.6))); | 
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| 169 | ASSERT( polygon.size() == 7, | 
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| 170 | "SphericalPointDistribution::get<7>() - polygon has wrong size."); | 
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| 171 | return polygon; | 
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| 172 | } | 
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| 173 |  | 
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| 174 | template <> | 
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| 175 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<8>() | 
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| 176 | { | 
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| 177 | Polygon_t polygon; | 
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| 178 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 179 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 180 | polygon.push_back( Vector(-Bondlength/3.0, Bondlength*2.0*M_SQRT2/3.0, 0.0)); | 
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| 181 | polygon.push_back( Vector(-Bondlength/3.0, -Bondlength*M_SQRT2/3.0, Bondlength*M_SQRT2/SQRT_3)); | 
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| 182 | polygon.push_back( Vector(-Bondlength/3.0, -Bondlength*M_SQRT2/3.0, -Bondlength*M_SQRT2/SQRT_3)); | 
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| 183 | polygon.push_back( Vector(Bondlength/3.0, -Bondlength*2.0*M_SQRT2/3.0, 0.0)); | 
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| 184 | polygon.push_back( Vector(Bondlength/3.0, Bondlength*M_SQRT2/3.0, -Bondlength*M_SQRT2/SQRT_3)); | 
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| 185 | polygon.push_back( Vector(Bondlength/3.0, Bondlength*M_SQRT2/3.0, Bondlength*M_SQRT2/SQRT_3)); | 
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| 186 | ASSERT( polygon.size() == 8, | 
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| 187 | "SphericalPointDistribution::get<8>() - polygon has wrong size."); | 
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| 188 | return polygon; | 
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| 189 | } | 
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| 190 |  | 
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| 191 | template <> | 
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| 192 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<9>() | 
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| 193 | { | 
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| 194 | Polygon_t polygon; | 
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| 195 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 196 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), Bondlength*sin(0.4*M_PI), 0.0)); | 
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| 197 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), -Bondlength*sin(0.4*M_PI), 0.0)); | 
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| 198 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), 0.0, Bondlength*sin(0.4*M_PI))); | 
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| 199 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), 0.0, -Bondlength*sin(0.4*M_PI))); | 
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| 200 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), Bondlength*sin(0.8*M_PI)*sin(0.25*M_PI), Bondlength*sin(0.8*M_PI)*cos(0.25*M_PI))); | 
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| 201 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), Bondlength*sin(0.8*M_PI)*sin(0.75*M_PI), Bondlength*sin(0.8*M_PI)*cos(0.75*M_PI))); | 
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| 202 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), Bondlength*sin(0.8*M_PI)*sin(1.25*M_PI), Bondlength*sin(0.8*M_PI)*cos(1.25*M_PI))); | 
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| 203 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), Bondlength*sin(0.8*M_PI)*sin(1.75*M_PI), Bondlength*sin(0.8*M_PI)*cos(1.75*M_PI))); | 
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| 204 | ASSERT( polygon.size() == 9, | 
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| 205 | "SphericalPointDistribution::get<9>() - polygon has wrong size."); | 
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| 206 | return polygon; | 
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| 207 | } | 
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| 208 |  | 
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| 209 | template <> | 
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| 210 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<10>() | 
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| 211 | { | 
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| 212 | Polygon_t polygon; | 
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| 213 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 214 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 215 | const double temp_Bondlength = Bondlength*0.5*SQRT_3; | 
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| 216 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength, 0.0)); | 
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| 217 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, -temp_Bondlength, 0.0)); | 
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| 218 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, 0.0, temp_Bondlength)); | 
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| 219 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, 0.0, -temp_Bondlength)); | 
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| 220 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*sin(0.25*M_PI), temp_Bondlength*cos(0.25*M_PI))); | 
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| 221 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*sin(0.75*M_PI), temp_Bondlength*cos(0.75*M_PI))); | 
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| 222 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*sin(1.25*M_PI), temp_Bondlength*cos(1.25*M_PI))); | 
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| 223 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*sin(1.75*M_PI), temp_Bondlength*cos(1.75*M_PI))); | 
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| 224 | ASSERT( polygon.size() == 10, | 
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| 225 | "SphericalPointDistribution::get<10>() - polygon has wrong size."); | 
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| 226 | return polygon; | 
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| 227 | } | 
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| 228 |  | 
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| 229 | template <> | 
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| 230 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<11>() | 
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| 231 | { | 
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| 232 | Polygon_t polygon; | 
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| 233 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 234 | { | 
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| 235 | const double temp_Bondlength = Bondlength*sin(0.4*M_PI); | 
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| 236 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), temp_Bondlength, 0.0)); | 
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| 237 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), temp_Bondlength*cos(0.4*M_PI),  temp_Bondlength*sin(0.4*M_PI))); | 
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| 238 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), temp_Bondlength*cos(0.8*M_PI),  temp_Bondlength*sin(0.8*M_PI))); | 
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| 239 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), temp_Bondlength*cos(1.2*M_PI),  temp_Bondlength*sin(1.2*M_PI))); | 
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| 240 | polygon.push_back( Vector(Bondlength*cos(0.4*M_PI), temp_Bondlength*cos(1.6*M_PI),  temp_Bondlength*sin(1.6*M_PI))); | 
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| 241 | } | 
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| 242 | { | 
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| 243 | const double temp_Bondlength = Bondlength*sin(0.8*M_PI); | 
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| 244 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), temp_Bondlength*cos(0.2*M_PI),  temp_Bondlength*sin(0.2*M_PI))); | 
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| 245 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), temp_Bondlength*cos(0.6*M_PI),  temp_Bondlength*sin(0.6*M_PI))); | 
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| 246 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), temp_Bondlength*cos(1.0*M_PI),  temp_Bondlength*sin(1.0*M_PI))); | 
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| 247 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), temp_Bondlength*cos(1.4*M_PI),  temp_Bondlength*sin(1.4*M_PI))); | 
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| 248 | polygon.push_back( Vector(Bondlength*cos(0.8*M_PI), temp_Bondlength*cos(1.8*M_PI),  temp_Bondlength*sin(1.8*M_PI))); | 
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| 249 | } | 
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| 250 | ASSERT( polygon.size() == 11, | 
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| 251 | "SphericalPointDistribution::get<11>() - polygon has wrong size."); | 
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| 252 | return polygon; | 
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| 253 | } | 
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| 254 |  | 
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| 255 | template <> | 
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| 256 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<12>() | 
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| 257 | { | 
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| 258 | Polygon_t polygon; | 
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| 259 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 260 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 261 | const double temp_Bondlength = Bondlength*0.5*SQRT_3; | 
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| 262 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength, 0.0)); | 
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| 263 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(0.4*M_PI),  temp_Bondlength*sin(0.4*M_PI))); | 
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| 264 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(0.8*M_PI),  temp_Bondlength*sin(0.8*M_PI))); | 
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| 265 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(1.2*M_PI),  temp_Bondlength*sin(1.2*M_PI))); | 
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| 266 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(1.6*M_PI),  temp_Bondlength*sin(1.6*M_PI))); | 
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| 267 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, -temp_Bondlength, 0.0)); | 
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| 268 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, -temp_Bondlength*cos(0.4*M_PI),  -temp_Bondlength*sin(0.4*M_PI))); | 
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| 269 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, -temp_Bondlength*cos(0.8*M_PI),  -temp_Bondlength*sin(0.8*M_PI))); | 
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| 270 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, -temp_Bondlength*cos(1.2*M_PI),  -temp_Bondlength*sin(1.2*M_PI))); | 
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| 271 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, -temp_Bondlength*cos(1.6*M_PI),  -temp_Bondlength*sin(1.6*M_PI))); | 
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| 272 | ASSERT( polygon.size() == 12, | 
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| 273 | "SphericalPointDistribution::get<12>() - polygon has wrong size."); | 
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| 274 | return polygon; | 
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| 275 | } | 
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| 276 |  | 
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| 277 | template <> | 
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| 278 | SphericalPointDistribution::Polygon_t SphericalPointDistribution::get<14>() | 
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| 279 | { | 
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| 280 | Polygon_t polygon; | 
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| 281 | polygon.push_back( Vector(Bondlength,0.,0.)); | 
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| 282 | polygon.push_back( Vector(-Bondlength, 0.0, 0.0)); | 
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| 283 | const double temp_Bondlength = Bondlength*0.5*SQRT_3; | 
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| 284 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength, 0.0)); | 
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| 285 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(M_PI/3.0), temp_Bondlength*sin(M_PI/3.0))); | 
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| 286 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(2.0*M_PI/3.0), temp_Bondlength*sin(2.0*M_PI/3.0))); | 
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| 287 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, -temp_Bondlength, 0.0)); | 
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| 288 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(4.0*M_PI/3.0), temp_Bondlength*sin(4.0*M_PI/3.0))); | 
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| 289 | polygon.push_back( Vector(temp_Bondlength/SQRT_3, temp_Bondlength*cos(5.0*M_PI/3.0), temp_Bondlength*sin(5.0*M_PI/3.0))); | 
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| 290 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(M_PI/6.0),  temp_Bondlength*sin(M_PI/6.0))); | 
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| 291 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(M_PI/3.0 +M_PI/6.0),  temp_Bondlength*sin(M_PI/3.0+M_PI/6.0))); | 
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| 292 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(2.0*M_PI/3.0 +M_PI/6.0),  temp_Bondlength*sin(2.0*M_PI/3.0 +M_PI/6.0))); | 
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| 293 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(3.0*M_PI/3.0 +M_PI/6.0),  temp_Bondlength*sin(3.0*M_PI/3.0 +M_PI/6.0))); | 
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| 294 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(4.0*M_PI/3.0 +M_PI/6.0),  temp_Bondlength*sin(4.0*M_PI/3.0 +M_PI/6.0))); | 
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| 295 | polygon.push_back( Vector(-temp_Bondlength/SQRT_3, temp_Bondlength*cos(5.0*M_PI/3.0 +M_PI/6.0),  temp_Bondlength*sin(5.0*M_PI/3.0 +M_PI/6.0))); | 
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| 296 | ASSERT( polygon.size() == 14, | 
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| 297 | "SphericalPointDistribution::get<14>() - polygon has wrong size."); | 
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| 298 | return polygon; | 
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| 299 | } | 
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| 300 |  | 
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| 301 | #endif /* SPHERICALPOINTDISTRIBUTION_HPP_ */ | 
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