| 1 | /**
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| 2 | * @file bspline.cpp
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| 3 | * @author Julian Iseringhausen <isering@ins.uni-bonn.de>
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| 4 | * @date Mon Nov 21 13:27:22 2011
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| 5 | *
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| 6 | * @brief B-Splines for molecular dynamics.
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| 7 | *
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| 8 | */
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| 9 |
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| 10 | #ifdef HAVE_CONFIG_H
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| 11 | #include <config.h>
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| 12 | #endif
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| 13 |
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| 14 | #ifndef BSPLINE_DEGREE
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| 15 | #error BSPLINE_DEGREE not defined.
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| 16 | #endif
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| 17 |
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| 18 | #if BSPLINE_DEGREE < 3 || BSPLINE_DEGREE > 6
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| 19 | #error Please choose a B-Spline degree between 3 and 6
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| 20 | #endif
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| 21 |
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| 22 | #include "base/helper.hpp"
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| 23 | #include "base/math.hpp"
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| 24 | #include "samples/bspline.hpp"
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| 25 |
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| 26 | #define POW(x,y) Helper::pow(x,y)
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| 27 |
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| 28 | using namespace VMG;
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| 29 |
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| 30 | BSpline::BSpline(const vmg_float& width) :
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| 31 | spline_nom((BSPLINE_DEGREE+1)/2),
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| 32 | spline_denom((BSPLINE_DEGREE+1)/2),
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| 33 | potential_nom((BSPLINE_DEGREE+1)/2+1),
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| 34 | potential_denom((BSPLINE_DEGREE+1)/2+1),
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| 35 | intervals((BSPLINE_DEGREE+1)/2),
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| 36 | R(width)
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| 37 | {
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| 38 | for (unsigned int i=0; i<intervals.size(); ++i)
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| 39 | intervals[i] = R * ( -1.0 + 2.0 / static_cast<vmg_float>(BSPLINE_DEGREE) * (i + BSPLINE_DEGREE/2 + 1));
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| 40 |
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| 41 | #if BSPLINE_DEGREE == 3
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| 42 |
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| 43 | spline_nom[0] = Polynomial(2, 81.0*POW(R,2), 0.0, -243.0);
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| 44 | spline_nom[1] = Polynomial(2, 243.0*POW(R,2), -486.0*R, 243.0);
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| 45 |
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| 46 | spline_denom[0] = Polynomial(0, 16.0 * Math::pi * POW(R,5));
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| 47 | spline_denom[1] = Polynomial(0, 32.0 * Math::pi * POW(R,5));
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| 48 |
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| 49 | potential_nom[0] = Polynomial(5,
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| 50 | 0.0,
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| 51 | -195.0*POW(R,4),
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| 52 | 0.0,
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| 53 | 270.0*POW(R,2),
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| 54 | 0.0,
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| 55 | -243.0);
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| 56 |
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| 57 | potential_nom[1] = Polynomial(5,
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| 58 | 2.0 * POW(R,5),
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| 59 | -405.0 * POW(R,4),
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| 60 | 0.0,
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| 61 | 810.0 * POW(R,2),
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| 62 | -810.0 * R,
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| 63 | 243.0);
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| 64 |
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| 65 | potential_nom[2] = Polynomial(0, -1.0);
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| 66 |
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| 67 | potential_denom[0] = Polynomial(0, 80.0*POW(R,5));
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| 68 | potential_denom[1] = Polynomial(0, 160.0*POW(R,5));
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| 69 | potential_denom[2] = Polynomial(0, 1.0);
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| 70 |
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| 71 | antid = 39.0 / (16.0 * R);
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| 72 |
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| 73 | #elif BSPLINE_DEGREE == 6
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| 74 |
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| 75 | spline_nom[0] = Polynomial(5,
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| 76 | 297.0 * POW(R,5),
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| 77 | 0.0,
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| 78 | -2430.0 * POW(R,3),
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| 79 | 0.0,
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| 80 | 10935.0 * R,
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| 81 | -10935.0);
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| 82 |
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| 83 | spline_nom[1] = Polynomial(5,
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| 84 | 459.0 * POW(R,5),
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| 85 | 2025.0 * POW(R,4),
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| 86 | -17010.0 * POW(R,3),
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| 87 | 36450.0 * POW(R,2),
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| 88 | -32805.0 * R,
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| 89 | 10935.0);
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| 90 |
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| 91 | spline_nom[2] = Polynomial(5,
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| 92 | 2187.0 * POW(R,5),
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| 93 | -10935.0 * POW(R,4),
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| 94 | 21870.0 * POW(R,3),
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| 95 | -21870.0 * POW(R,2),
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| 96 | 10935.0 * R,
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| 97 | -2187.0);
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| 98 |
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| 99 | spline_denom[0] = Polynomial(0, 20.0 * Math::pi * POW(R,8));
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| 100 | spline_denom[1] = Polynomial(0, 40.0 * Math::pi * POW(R,8));
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| 101 | spline_denom[2] = Polynomial(0, 40.0 * Math::pi * POW(R,8));
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| 102 |
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| 103 | potential_nom[0] = Polynomial(8,
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| 104 | 0.0,
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| 105 | -956.0 * POW(R,7),
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| 106 | 0.0,
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| 107 | 2772.0 * POW(R,5),
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| 108 | 0.0,
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| 109 | -6804.0 * POW(R,3),
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| 110 | 0.0,
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| 111 | 14580.0 * R,
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| 112 | -10935.0);
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| 113 |
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| 114 | potential_nom[1] = Polynomial(8,
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| 115 | -5.0 * POW(R,8),
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| 116 | -5676.0 * POW(R,7),
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| 117 | 0.0,
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| 118 | 12852.0 * POW(R,5),
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| 119 | 28350.0 * POW(R,4),
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| 120 | -142884.0 * POW(R,3),
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| 121 | 204120.0 * POW(R,2),
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| 122 | -131220.0 * R,
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| 123 | 32805.0);
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| 124 |
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| 125 | potential_nom[2] = Polynomial(8,
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| 126 | 169.0 * POW(R,8),
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| 127 | -2916.0 * POW(R,7),
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| 128 | 0.0,
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| 129 | 20412.0 * POW(R,5),
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| 130 | -51030.0 * POW(R,4),
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| 131 | 61236.0 * POW(R,3),
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| 132 | -40824.0 * POW(R,2),
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| 133 | 14580.0 * R,
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| 134 | -2187.0);
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| 135 |
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| 136 | potential_nom[3] = Polynomial(0, -1.0);
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| 137 |
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| 138 | potential_denom[0] = Polynomial(0, 280.0 * POW(R,8));
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| 139 | potential_denom[1] = Polynomial(0, 1680.0 * POW(R,8));
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| 140 | potential_denom[2] = Polynomial(0, 560.0 * POW(R,8));
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| 141 | potential_denom[3] = Polynomial(0, 0.0);
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| 142 |
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| 143 | antid = 239.0 / (70.0 * R);
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| 144 |
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| 145 | #else
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| 146 | #error B-Spline degree not supported. Choose 3 or 6.
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| 147 | #endif /* BSPLINE_DEGREE */
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| 148 | }
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