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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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20 02110-1301, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <string> |
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29 |
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30 #include "CollocWt.h" |
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31 #include "lo-mappers.h" |
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32 |
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33 #include "defun-dld.h" |
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34 #include "error.h" |
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35 #include "oct-obj.h" |
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36 #include "utils.h" |
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37 |
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38 DEFUN_DLD (colloc, args, , |
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39 "-*- texinfo -*-\n\ |
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40 @deftypefn {Loadable Function} {[@var{r}, @var{amat}, @var{bmat}, @var{q}] =} colloc (@var{n}, \"left\", \"right\")\n\ |
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41 Compute derivative and integral weight matrices for orthogonal\n\ |
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42 collocation using the subroutines given in J. Villadsen and\n\ |
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43 M. L. Michelsen, @cite{Solution of Differential Equation Models by\n\ |
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44 Polynomial Approximation}.\n\ |
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45 @end deftypefn") |
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46 { |
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47 octave_value_list retval; |
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48 |
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49 int nargin = args.length (); |
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50 |
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51 if (nargin < 1 || nargin > 3) |
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52 { |
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53 print_usage (); |
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54 return retval; |
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55 } |
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56 |
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57 if (! args(0).is_scalar_type ()) |
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58 { |
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59 error ("colloc: first argument must be a scalar"); |
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60 return retval; |
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61 } |
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62 |
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63 double tmp = args(0).double_value (); |
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64 |
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65 if (error_state) |
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66 return retval; |
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67 |
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68 if (xisnan (tmp)) |
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69 { |
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70 error ("colloc: NaN is invalid as NCOL"); |
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71 return retval; |
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72 } |
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73 |
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74 octave_idx_type ncol = NINTbig (tmp); |
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75 if (ncol < 0) |
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76 { |
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77 error ("colloc: first argument must be non-negative"); |
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78 return retval; |
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79 } |
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80 |
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81 octave_idx_type ntot = ncol; |
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82 octave_idx_type left = 0; |
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83 octave_idx_type right = 0; |
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84 |
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85 for (int i = 1; i < nargin; i++) |
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86 { |
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87 if (args(i).is_defined ()) |
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88 { |
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89 if (! args(i).is_string ()) |
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90 { |
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91 error ("colloc: expecting string argument"); |
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92 return retval; |
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93 } |
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94 |
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95 std::string s = args(i).string_value (); |
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96 |
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97 if ((s.length () == 1 && (s[0] == 'R' || s[0] == 'r')) |
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98 || s == "right") |
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99 { |
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100 right = 1; |
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101 } |
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102 else if ((s.length () == 1 && (s[0] == 'L' || s[0] == 'l')) |
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103 || s == "left") |
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104 { |
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105 left = 1; |
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106 } |
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107 else |
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108 { |
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109 error ("colloc: unrecognized argument"); |
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110 return retval; |
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111 } |
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112 } |
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113 else |
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114 { |
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115 error ("colloc: unexpected empty argument"); |
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116 return retval; |
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117 } |
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118 } |
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119 |
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120 ntot += left + right; |
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121 if (ntot < 1) |
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122 { |
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123 error ("colloc: the total number of roots must be positive"); |
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124 return retval; |
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125 } |
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126 |
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127 CollocWt wts (ncol, left, right); |
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128 |
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129 ColumnVector r = wts.roots (); |
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130 Matrix A = wts.first (); |
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131 Matrix B = wts.second (); |
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132 ColumnVector q = wts.quad_weights (); |
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133 |
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134 retval(3) = q; |
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135 retval(2) = B; |
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136 retval(1) = A; |
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137 retval(0) = r; |
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138 |
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139 return retval; |
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140 } |
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141 |
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142 /* |
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143 ;;; Local Variables: *** |
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144 ;;; mode: C++ *** |
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145 ;;; End: *** |
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146 */ |
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147 |
