1 | /*************************************************************************** |
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2 | * blitz/mattoep.h Declarations for Toeplitz matrices |
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3 | * |
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4 | * $Id: mattoep.h,v 1.4 2003/12/11 03:44:22 julianc Exp $ |
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5 | * |
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6 | * Copyright (C) 1997-2001 Todd Veldhuizen <tveldhui@oonumerics.org> |
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7 | * |
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8 | * This program is free software; you can redistribute it and/or |
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9 | * modify it under the terms of the GNU General Public License |
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10 | * as published by the Free Software Foundation; either version 2 |
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11 | * of the License, or (at your option) any later version. |
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12 | * |
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13 | * This program is distributed in the hope that it will be useful, |
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14 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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15 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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16 | * GNU General Public License for more details. |
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17 | * |
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18 | * Suggestions: blitz-dev@oonumerics.org |
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19 | * Bugs: blitz-bugs@oonumerics.org |
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20 | * |
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21 | * For more information, please see the Blitz++ Home Page: |
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22 | * http://oonumerics.org/blitz/ |
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23 | * |
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24 | ***************************************************************************/ |
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25 | |
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26 | #ifndef BZ_MATTOEP_H |
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27 | #define BZ_MATTOEP_H |
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28 | |
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29 | #ifndef BZ_MSTRUCT_H |
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30 | #error <blitz/mattoep.h> must be included via <blitz/mstruct.h> |
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31 | #endif |
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32 | |
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33 | BZ_NAMESPACE(blitz) |
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34 | |
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35 | // Toeplitz matrix |
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36 | // [ 0 1 2 3 ] |
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37 | // [ 1 2 3 4 ] |
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38 | // [ 2 3 4 5 ] |
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39 | // [ 3 4 5 6 ] |
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40 | |
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41 | class ToeplitzIterator { |
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42 | public: |
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43 | ToeplitzIterator(unsigned rows, unsigned cols) |
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44 | { |
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45 | rows_ = rows; |
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46 | cols_ = cols; |
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47 | i_ = 0; |
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48 | j_ = 0; |
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49 | good_ = true; |
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50 | offset_ = 0; |
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51 | } |
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52 | |
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53 | operator bool() const { return good_; } |
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54 | |
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55 | void operator++() |
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56 | { |
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57 | ++offset_; |
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58 | if (i_ < rows_ - 1) |
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59 | ++i_; |
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60 | else if (j_ < cols_ - 1) |
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61 | ++j_; |
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62 | else |
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63 | good_ = false; |
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64 | } |
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65 | |
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66 | unsigned row() const |
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67 | { return i_; } |
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68 | |
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69 | unsigned col() const |
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70 | { return j_; } |
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71 | |
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72 | unsigned offset() const |
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73 | { return offset_; } |
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74 | |
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75 | protected: |
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76 | unsigned offset_; |
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77 | unsigned i_, j_; |
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78 | unsigned rows_, cols_; |
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79 | bool good_; |
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80 | }; |
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81 | |
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82 | class Toeplitz : public GeneralMatrix { |
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83 | |
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84 | public: |
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85 | typedef ToeplitzIterator T_iterator; |
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86 | |
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87 | Toeplitz() |
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88 | : rows_(0), cols_(0) |
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89 | { } |
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90 | |
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91 | Toeplitz(unsigned rows, unsigned cols) |
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92 | : rows_(rows), cols_(cols) |
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93 | { } |
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94 | |
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95 | unsigned columns() const |
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96 | { return cols_; } |
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97 | |
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98 | unsigned coordToOffset(unsigned i, unsigned j) const |
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99 | { |
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100 | BZPRECONDITION(inRange(i,j)); |
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101 | return i + j; |
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102 | } |
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103 | |
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104 | unsigned firstInRow(unsigned i) const |
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105 | { return 0; } |
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106 | |
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107 | template<typename T_numtype> |
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108 | T_numtype get(const T_numtype * restrict data, |
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109 | unsigned i, unsigned j) const |
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110 | { |
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111 | BZPRECONDITION(inRange(i,j)); |
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112 | return data[coordToOffset(i,j)]; |
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113 | } |
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114 | |
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115 | template<typename T_numtype> |
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116 | T_numtype& get(T_numtype * restrict data, unsigned i, unsigned j) |
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117 | { |
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118 | BZPRECONDITION(inRange(i,j)); |
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119 | return data[coordToOffset(i,j)]; |
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120 | } |
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121 | |
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122 | unsigned lastInRow(const unsigned) const { return cols_ - 1; } |
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123 | unsigned firstInCol(const unsigned) const { return 0; } |
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124 | unsigned lastInCol(const unsigned) const { return rows_ - 1; } |
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125 | |
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126 | bool inRange(const unsigned i,const unsigned j) const { return (i<rows_) && (j<cols_); } |
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127 | |
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128 | unsigned numElements() const { return rows_ + cols_ - 1; } |
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129 | |
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130 | unsigned rows() const { return rows_; } |
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131 | |
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132 | void resize(const unsigned rows,const unsigned cols) { |
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133 | rows_ = rows; |
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134 | cols_ = cols; |
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135 | } |
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136 | |
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137 | private: |
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138 | unsigned rows_, cols_; |
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139 | }; |
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140 | |
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141 | BZ_NAMESPACE_END |
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142 | |
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143 | #endif // BZ_MATSYMM_H |
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144 | |
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