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1 /* |
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2 |
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3 Copyright (C) 1996, 1997, 1999, 2000, 2005, 2006, 2007 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <string> |
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28 |
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29 #include "CollocWt.h" |
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30 #include "lo-mappers.h" |
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31 |
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32 #include "defun-dld.h" |
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33 #include "error.h" |
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34 #include "oct-obj.h" |
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35 #include "utils.h" |
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36 |
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37 DEFUN_DLD (colloc, args, , |
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38 "-*- texinfo -*-\n\ |
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39 @deftypefn {Loadable Function} {[@var{r}, @var{amat}, @var{bmat}, @var{q}] =} colloc (@var{n}, \"left\", \"right\")\n\ |
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40 Compute derivative and integral weight matrices for orthogonal\n\ |
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41 collocation using the subroutines given in J. Villadsen and\n\ |
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42 M. L. Michelsen, @cite{Solution of Differential Equation Models by\n\ |
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43 Polynomial Approximation}.\n\ |
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44 @end deftypefn") |
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45 { |
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46 octave_value_list retval; |
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47 |
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48 int nargin = args.length (); |
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49 |
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50 if (nargin < 1 || nargin > 3) |
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51 { |
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52 print_usage (); |
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53 return retval; |
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54 } |
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55 |
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56 if (! args(0).is_scalar_type ()) |
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57 { |
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58 error ("colloc: first argument must be a scalar"); |
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59 return retval; |
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60 } |
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61 |
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62 double tmp = args(0).double_value (); |
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63 |
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64 if (error_state) |
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65 return retval; |
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66 |
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67 if (xisnan (tmp)) |
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68 { |
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69 error ("colloc: NaN is invalid as NCOL"); |
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70 return retval; |
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71 } |
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72 |
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73 octave_idx_type ncol = NINTbig (tmp); |
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74 if (ncol < 0) |
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75 { |
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76 error ("colloc: first argument must be non-negative"); |
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77 return retval; |
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78 } |
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79 |
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80 octave_idx_type ntot = ncol; |
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81 octave_idx_type left = 0; |
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82 octave_idx_type right = 0; |
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83 |
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84 for (int i = 1; i < nargin; i++) |
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85 { |
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86 if (args(i).is_defined ()) |
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87 { |
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88 if (! args(i).is_string ()) |
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89 { |
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90 error ("colloc: expecting string argument"); |
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91 return retval; |
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92 } |
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93 |
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94 std::string s = args(i).string_value (); |
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95 |
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96 if ((s.length () == 1 && (s[0] == 'R' || s[0] == 'r')) |
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97 || s == "right") |
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98 { |
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99 right = 1; |
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100 } |
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101 else if ((s.length () == 1 && (s[0] == 'L' || s[0] == 'l')) |
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102 || s == "left") |
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103 { |
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104 left = 1; |
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105 } |
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106 else |
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107 { |
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108 error ("colloc: unrecognized argument"); |
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109 return retval; |
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110 } |
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111 } |
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112 else |
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113 { |
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114 error ("colloc: unexpected empty argument"); |
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115 return retval; |
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116 } |
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117 } |
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118 |
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119 ntot += left + right; |
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120 if (ntot < 1) |
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121 { |
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122 error ("colloc: the total number of roots must be positive"); |
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123 return retval; |
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124 } |
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125 |
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126 CollocWt wts (ncol, left, right); |
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127 |
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128 ColumnVector r = wts.roots (); |
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129 Matrix A = wts.first (); |
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130 Matrix B = wts.second (); |
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131 ColumnVector q = wts.quad_weights (); |
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132 |
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133 retval(3) = q; |
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134 retval(2) = B; |
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135 retval(1) = A; |
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136 retval(0) = r; |
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137 |
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138 return retval; |
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139 } |
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140 |
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141 /* |
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142 ;;; Local Variables: *** |
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143 ;;; mode: C++ *** |
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144 ;;; End: *** |
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145 */ |
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146 |