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1 /* Copyright (C) 2009 Carlo de Falco |
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2 |
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3 This program is free software: you can redistribute it and/or modify |
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4 it under the terms of the GNU General Public License as published by |
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5 the Free Software Foundation, either version 3 of the License, or |
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6 (at your option) any later version. |
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7 |
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8 This program is distributed in the hope that it will be useful, |
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9 but WITHOUT ANY WARRANTY; without even the implied warranty of |
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10 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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11 GNU General Public License for more details. |
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12 |
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13 You should have received a copy of the GNU General Public License |
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14 along with this program. If not, see <http://www.gnu.org/licenses/>. |
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15 */ |
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16 |
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17 #include <octave/oct.h> |
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18 #include "low_level_functions.h" |
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19 |
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20 DEFUN_DLD(basisfunder, args, nargout,"\n\ |
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21 BASISFUNDER: B-Spline Basis function derivatives\n\ |
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22 \n\ |
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23 Calling Sequence:\n\ |
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24 \n\ |
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25 ders = basisfunder (ii, pl, uu, k, nd)\n\ |
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26 \n\ |
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27 INPUT:\n\ |
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28 \n\ |
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29 ii - knot span\n\ |
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30 pl - degree of curve\n\ |
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31 uu - parametric points\n\ |
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32 k - knot vector\n\ |
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33 nd - number of derivatives to compute\n\ |
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34 \n\ |
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35 OUTPUT:\n\ |
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36 \n\ |
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37 ders - ders(n, i, :) (i-1)-th derivative at n-th point\n\ |
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38 \n\ |
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39 Adapted from Algorithm A2.3 from 'The NURBS BOOK' pg72. \n\ |
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40 \n\ |
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41 ") |
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42 { |
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43 octave_value_list retval; |
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44 |
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45 const NDArray i = args(0).array_value (); |
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46 int pl = args(1).int_value (); |
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47 const NDArray u = args(2).array_value (); |
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48 const RowVector U = args(3).row_vector_value (); |
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49 int nd = args(4).int_value (); |
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50 |
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51 if (!error_state) |
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52 { |
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53 if (i.numel () != u.numel ()) |
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54 print_usage (); |
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55 |
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56 NDArray dersv (dim_vector (i.numel (), nd+1, pl+1), 0.0); |
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57 NDArray ders(dim_vector(nd+1, pl+1), 0.0); |
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58 for ( octave_idx_type jj(0); jj < i.numel (); jj++) |
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59 { |
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60 basisfunder (int (i(jj)), pl, u(jj), U, nd, ders); |
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61 |
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62 for (octave_idx_type kk(0); kk < nd+1; kk++) |
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63 for (octave_idx_type ll(0); ll < pl+1; ll++) |
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64 { |
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65 dersv(jj, kk, ll) = ders(kk, ll); |
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66 } |
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67 } |
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68 retval(0) = dersv; |
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69 } |
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70 return retval; |
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71 } |
