1 | //
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2 | // C++ Interface: CubicSplineInterpolator1D
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3 | //
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4 | // Description:
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5 | //
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6 | //
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7 | // Author: Takeshi Nakazato <takeshi.nakazato@nao.ac.jp>, (C) 2012
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8 | //
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9 | // Copyright: See COPYING file that comes with this distribution
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10 | //
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11 | //
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12 | #ifndef ASAP_CUBIC_SPLINE_INTERPOLATOR_1D_H
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13 | #define ASAP_CUBIC_SPLINE_INTERPOLATOR_1D_H
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14 |
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15 | #include "Interpolator1D.h"
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16 |
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17 | namespace asap {
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18 |
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19 | /**
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20 | * Implementation of (natural) cubic spline interpolation.
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21 | * @author TakeshiNakazato
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22 | */
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23 | template <class T, class U>
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24 | class CubicSplineInterpolator1D : public Interpolator1D<T, U> {
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25 | public:
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26 | // Default constructor.
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27 | CubicSplineInterpolator1D();
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28 |
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29 | // Destructor.
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30 | virtual ~CubicSplineInterpolator1D();
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31 |
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32 | // Override Interpolator1D::setData.
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33 | // @see Interpolator1D::setData
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34 | void setData(T *x, U *y, unsigned int n);
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35 |
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36 | // Override Interpolator1D::setY.
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37 | // @see Interpolator1D::setY()
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38 | void setY(U *y, unsigned int n);
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39 |
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40 | // Perform interpolation.
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41 | // @param[in] x horizontal location where the value is evaluated
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42 | // by interpolation.
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43 | // @return interpolated value at x.
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44 | U interpolate(T x);
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45 | private:
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46 | // Determine second derivatives of each point based on
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47 | // natural cubic spline condition (second derivative at each
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48 | // end is zero).
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49 | void evaly2();
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50 |
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51 | // Do interpolation using second derivatives determined by evaly2().
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52 | // @param[in] x horizontal location where the value is evaluated
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53 | // by interpolation.
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54 | // @param[in] i location index for x.
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55 | // @return interpolated value at x.
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56 | U dospline(T x, unsigned int i);
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57 |
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58 | // Array to store second derivatives on the data points.
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59 | U *y2_;
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60 |
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61 | // number of data points for second derivatives
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62 | unsigned int ny2_;
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63 |
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64 | // Boolean parameter whether buffered values are effective or not.
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65 | bool reusable_;
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66 | };
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67 |
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68 | }
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69 |
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70 | #include "CubicSplineInterpolator1D.tcc"
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71 |
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72 | #endif
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