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1 /* |
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2 |
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3 Copyright (C) 2002 Paul Kienzle |
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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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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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 "dMatrix.h" |
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28 #include "CMatrix.h" |
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29 |
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30 #include "defun-dld.h" |
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31 #include "error.h" |
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32 #include "oct-obj.h" |
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33 |
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34 #if !defined (CXX_NEW_FRIEND_TEMPLATE_DECL) |
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35 extern void |
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36 kron (const Array2<double>&, const Array2<double>&, Array2<double>&); |
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37 |
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38 extern void |
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39 kron (const Array2<Complex>&, const Array2<Complex>&, Array2<Complex>&); |
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40 #endif |
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41 |
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42 template <class T> |
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43 void |
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44 kron (const Array2<T>& A, const Array2<T>& B, Array2<T>& C) |
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45 { |
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46 C.resize (A.rows () * B.rows (), A.columns () * B.columns ()); |
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47 |
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48 int Ac, Ar, Cc, Cr; |
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49 |
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50 for (Ac = Cc = 0; Ac < A.columns (); Ac++, Cc += B.columns ()) |
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51 for (Ar = Cr = 0; Ar < A.rows (); Ar++, Cr += B.rows ()) |
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52 { |
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53 const T v = A (Ar, Ac); |
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54 for (int Bc = 0; Bc < B.columns (); Bc++) |
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55 for (int Br = 0; Br < B.rows (); Br++) |
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56 C.xelem (Cr+Br, Cc+Bc) = v * B.elem (Br, Bc); |
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57 } |
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58 } |
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59 |
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60 template void |
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61 kron (const Array2<double>&, const Array2<double>&, Array2<double>&); |
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62 |
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63 template void |
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64 kron (const Array2<Complex>&, const Array2<Complex>&, Array2<Complex>&); |
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65 |
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66 DEFUN_DLD (kron, args, nargout, "-*- texinfo -*-\n\ |
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67 @deftypefn {Function File} {} kron (@var{a}, @var{b})\n\ |
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68 Form the kronecker product of two matrices, defined block by block as\n\ |
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69 \n\ |
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70 @example\n\ |
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71 x = [a(i, j) b]\n\ |
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72 @end example\n\ |
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73 \n\ |
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74 For example,\n\ |
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75 \n\ |
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76 @example\n\ |
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77 @group\n\ |
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78 kron (1:4, ones (3, 1))\n\ |
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79 @result{} 1 2 3 4\n\ |
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80 1 2 3 4\n\ |
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81 1 2 3 4\n\ |
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82 @end group\n\ |
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83 @end example\n\ |
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84 @end deftypefn") |
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85 { |
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86 octave_value_list retval; |
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87 |
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88 int nargin = args.length (); |
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89 |
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90 if (nargin != 2 || nargout > 1) |
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91 { |
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92 print_usage ("kron"); |
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93 } |
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94 else if (args(0).is_complex_type () || args(1).is_complex_type ()) |
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95 { |
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96 ComplexMatrix a (args(0).complex_matrix_value()); |
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97 ComplexMatrix b (args(1).complex_matrix_value()); |
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98 |
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99 if (! error_state) |
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100 { |
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101 ComplexMatrix c; |
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102 kron (a, b, c); |
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103 retval(0) = c; |
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104 } |
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105 } |
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106 else |
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107 { |
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108 Matrix a (args(0).matrix_value ()); |
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109 Matrix b (args(1).matrix_value ()); |
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110 |
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111 if (! error_state) |
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112 { |
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113 Matrix c; |
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114 kron (a, b, c); |
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115 retval (0) = c; |
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116 } |
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117 } |
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118 |
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119 return retval; |
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120 } |
