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| 10 | <title>Triangular Matrix</title> |
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| 11 | </head> |
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| 12 | <body> |
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| 13 | <h1><img src="../../../../boost.png" align="middle" /> |
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| 14 | Triangular Matrix</h1> |
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| 15 | <h2><a name="triangular_matrix" id="triangular_matrix"></a>Triangular Matrix</h2> |
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| 16 | <h4>Description</h4> |
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| 17 | <p>The templated class <code>triangular_matrix<T, F1, F2, |
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| 18 | A></code> is the base container adaptor for triangular matrices. |
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| 19 | For a <em>(n x n</em> )-dimensional lower triangular matrix and |
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| 20 | <em>0 <= i < n</em>,<em>0 <= j < n</em> holds |
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| 21 | <em>t</em><sub><em>i, j</em></sub> <em>= 0</em> , if <em>i > |
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| 22 | j</em>. If furthermore holds t<sub><em>i, i</em></sub><em>= 1</em> |
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| 23 | the matrix is called unit lower triangular. For a <em>(n x n</em> |
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| 24 | )-dimensional upper triangular matrix and <em>0 <= i < |
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| 25 | n</em>,<em>0 <= j < n</em> holds <em>t</em><sub><em>i, |
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| 26 | j</em></sub> <em>= 0</em> , if <em>i < j</em>. If furthermore |
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| 27 | holds t<sub><em>i, i</em></sub><em>= 1</em> the matrix is called |
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| 28 | unit lower triangular. The storage of triangular matrices is |
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| 29 | packed.</p> |
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| 30 | <h4>Example</h4> |
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| 31 | <pre> |
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| 32 | #include <boost/numeric/ublas/triangular.hpp> |
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| 33 | #include <boost/numeric/ublas/io.hpp> |
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| 34 | |
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| 35 | int main () { |
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| 36 | using namespace boost::numeric::ublas; |
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| 37 | triangular_matrix<double, lower> ml (3, 3); |
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| 38 | for (unsigned i = 0; i < ml.size1 (); ++ i) |
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| 39 | for (unsigned j = 0; j <= i; ++ j) |
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| 40 | ml (i, j) = 3 * i + j; |
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| 41 | std::cout << ml << std::endl; |
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| 42 | triangular_matrix<double, upper> mu (3, 3); |
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| 43 | for (unsigned i = 0; i < mu.size1 (); ++ i) |
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| 44 | for (unsigned j = i; j < mu.size2 (); ++ j) |
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| 45 | mu (i, j) = 3 * i + j; |
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| 46 | std::cout << mu << std::endl; |
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| 47 | } |
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| 48 | </pre> |
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| 49 | <h4>Definition</h4> |
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| 50 | <p>Defined in the header triangular.hpp.</p> |
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| 51 | <h4>Template parameters</h4> |
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| 52 | <table border="1" summary="parameters"> |
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| 53 | <tbody> |
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| 54 | <tr> |
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| 55 | <th>Parameter</th> |
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| 56 | <th>Description</th> |
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| 57 | <th>Default</th> |
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| 58 | </tr> |
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| 59 | <tr> |
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| 60 | <td><code>T</code></td> |
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| 61 | <td>The type of object stored in the matrix.</td> |
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| 62 | <td></td> |
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| 63 | </tr> |
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| 64 | <tr> |
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| 65 | <td><code>F1</code></td> |
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| 66 | <td>Functor describing the type of the triangular matrix. <a href= |
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| 67 | "#triangular_matrix_1">[1]</a></td> |
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| 68 | <td><code>lower</code></td> |
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| 69 | </tr> |
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| 70 | <tr> |
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| 71 | <td><code>F2</code></td> |
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| 72 | <td>Functor describing the storage organization. <a href= |
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| 73 | "#triangular_matrix_2">[2]</a></td> |
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| 74 | <td><code>row_major</code></td> |
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| 75 | </tr> |
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| 76 | <tr> |
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| 77 | <td><code>A</code></td> |
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| 78 | <td>The type of the adapted array. <a href= |
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| 79 | "#triangular_matrix_3">[3]</a></td> |
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| 80 | <td><code>unbounded_array<T></code></td> |
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| 81 | </tr> |
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| 82 | </tbody> |
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| 83 | </table> |
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| 84 | <h4>Model of</h4> |
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| 85 | <p><a href="container_concept.htm#matrix">Matrix</a> .</p> |
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| 86 | <h4>Type requirements</h4> |
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| 87 | <p>None, except for those imposed by the requirements of <a href= |
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| 88 | "container_concept.htm#matrix">Matrix</a> .</p> |
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| 89 | <h4>Public base classes</h4> |
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| 90 | <p><code>matrix_container<triangular_matrix<T, F1, F2, A> |
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| 91 | ></code></p> |
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| 92 | <h4>Members</h4> |
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| 93 | <table border="1" summary="members"> |
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| 94 | <tbody> |
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| 95 | <tr> |
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| 96 | <th>Member</th> |
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| 97 | <th>Description</th> |
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| 98 | </tr> |
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| 99 | <tr> |
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| 100 | <td><code>triangular_matrix ()</code></td> |
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| 101 | <td>Allocates an uninitialized <code>triangular_matrix</code> that |
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| 102 | holds zero rows of zero elements.</td> |
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| 103 | </tr> |
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| 104 | <tr> |
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| 105 | <td><code>triangular_matrix (size_type size1, size_type |
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| 106 | size2)</code></td> |
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| 107 | <td>Allocates an uninitialized <code>triangular_matrix</code> that |
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| 108 | holds <code>size1</code> rows of <code>size2</code> elements.</td> |
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| 109 | </tr> |
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| 110 | <tr> |
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| 111 | <td><code>triangular_matrix (const triangular_matrix |
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| 112 | &m)</code></td> |
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| 113 | <td>The copy constructor.</td> |
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| 114 | </tr> |
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| 115 | <tr> |
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| 116 | <td><code>template<class AE><br /> |
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| 117 | triangular_matrix (const matrix_expression<AE> |
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| 118 | &ae)</code></td> |
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| 119 | <td>The extended copy constructor.</td> |
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| 120 | </tr> |
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| 121 | <tr> |
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| 122 | <td><code>void resize (size_type size1, size_type size2, bool |
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| 123 | preserve = true)</code></td> |
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| 124 | <td>Reallocates a <code>triangular_matrix</code> to hold |
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| 125 | <code>size1</code> rows of <code>size2</code> elements. The |
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| 126 | existing elements of the <code>triangular_matrix</code> are |
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| 127 | preseved when specified.</td> |
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| 128 | </tr> |
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| 129 | <tr> |
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| 130 | <td><code>size_type size1 () const</code></td> |
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| 131 | <td>Returns the number of rows.</td> |
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| 132 | </tr> |
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| 133 | <tr> |
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| 134 | <td><code>size_type size2 () const</code></td> |
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| 135 | <td>Returns the number of columns.</td> |
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| 136 | </tr> |
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| 137 | <tr> |
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| 138 | <td><code>const_reference operator () (size_type i, size_type j) |
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| 139 | const</code></td> |
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| 140 | <td>Returns a <code>const</code> reference of the <code>j</code> |
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| 141 | -th element in the <code>i</code>-th row.</td> |
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| 142 | </tr> |
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| 143 | <tr> |
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| 144 | <td><code>reference operator () (size_type i, size_type |
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| 145 | j)</code></td> |
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| 146 | <td>Returns a reference of the <code>j</code>-th element in the |
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| 147 | <code>i</code>-th row.</td> |
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| 148 | </tr> |
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| 149 | <tr> |
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| 150 | <td><code>triangular_matrix &operator = (const |
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| 151 | triangular_matrix &m)</code></td> |
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| 152 | <td>The assignment operator.</td> |
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| 153 | </tr> |
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| 154 | <tr> |
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| 155 | <td><code>triangular_matrix &assign_temporary |
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| 156 | (triangular_matrix &m)</code></td> |
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| 157 | <td>Assigns a temporary. May change the triangular matrix |
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| 158 | <code>m</code>.</td> |
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| 159 | </tr> |
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| 160 | <tr> |
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| 161 | <td><code>template<class AE><br /> |
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| 162 | triangular_matrix &operator = (const |
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| 163 | matrix_expression<AE> &ae)</code></td> |
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| 164 | <td>The extended assignment operator.</td> |
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| 165 | </tr> |
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| 166 | <tr> |
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| 167 | <td><code>template<class AE><br /> |
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| 168 | triangular_matrix &assign (const matrix_expression<AE> |
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| 169 | &ae)</code></td> |
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| 170 | <td>Assigns a matrix expression to the triangular matrix. Left and |
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| 171 | right hand side of the assignment should be independent.</td> |
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| 172 | </tr> |
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| 173 | <tr> |
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| 174 | <td><code>template<class AE><br /> |
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| 175 | triangular_matrix &operator += (const |
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| 176 | matrix_expression<AE> &ae)</code></td> |
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| 177 | <td>A computed assignment operator. Adds the matrix expression to |
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| 178 | the triangular matrix.</td> |
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| 179 | </tr> |
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| 180 | <tr> |
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| 181 | <td><code>template<class AE><br /> |
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| 182 | triangular_matrix &plus_assign (const |
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| 183 | matrix_expression<AE> &ae)</code></td> |
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| 184 | <td>Adds a matrix expression to the triangular matrix. Left and |
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| 185 | right hand side of the assignment should be independent.</td> |
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| 186 | </tr> |
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| 187 | <tr> |
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| 188 | <td><code>template<class AE><br /> |
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| 189 | triangular_matrix &operator -= (const |
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| 190 | matrix_expression<AE> &ae)</code></td> |
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| 191 | <td>A computed assignment operator. Subtracts the matrix expression |
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| 192 | from the triangular matrix.</td> |
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| 193 | </tr> |
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| 194 | <tr> |
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| 195 | <td><code>template<class AE><br /> |
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| 196 | triangular_matrix &minus_assign (const |
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| 197 | matrix_expression<AE> &ae)</code></td> |
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| 198 | <td>Subtracts a matrix expression from the triangular matrix. Left |
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| 199 | and right hand side of the assignment should be independent.</td> |
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| 200 | </tr> |
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| 201 | <tr> |
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| 202 | <td><code>template<class AT><br /> |
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| 203 | triangular_matrix &operator *= (const AT &at)</code></td> |
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| 204 | <td>A computed assignment operator. Multiplies the triangular |
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| 205 | matrix with a scalar.</td> |
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| 206 | </tr> |
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| 207 | <tr> |
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| 208 | <td><code>template<class AT><br /> |
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| 209 | triangular_matrix &operator /= (const AT &at)</code></td> |
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| 210 | <td>A computed assignment operator. Divides the triangular matrix |
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| 211 | through a scalar.</td> |
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| 212 | </tr> |
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| 213 | <tr> |
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| 214 | <td><code>void swap (triangular_matrix &m)</code></td> |
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| 215 | <td>Swaps the contents of the triangular matrices.</td> |
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| 216 | </tr> |
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| 217 | <tr> |
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| 218 | <td><code>void insert (size_type i, size_type j, const_reference |
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| 219 | t)</code></td> |
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| 220 | <td>Inserts the value <code>t</code> at the <code>j</code>-th |
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| 221 | element of the <code>i</code>-th row.</td> |
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| 222 | </tr> |
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| 223 | <tr> |
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| 224 | <td><code>void erase (size_type i, size_type j)</code></td> |
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| 225 | <td>Erases the value at the <code>j</code>-th elemenst of the |
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| 226 | <code>i</code>-th row.</td> |
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| 227 | </tr> |
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| 228 | <tr> |
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| 229 | <td><code>void clear ()</code></td> |
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| 230 | <td>Clears the matrix.</td> |
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| 231 | </tr> |
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| 232 | <tr> |
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| 233 | <td><code>const_iterator1 begin1 () const</code></td> |
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| 234 | <td>Returns a <code>const_iterator1</code> pointing to the |
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| 235 | beginning of the <code>triangular_matrix</code>.</td> |
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| 236 | </tr> |
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| 237 | <tr> |
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| 238 | <td><code>const_iterator1 end1 () const</code></td> |
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| 239 | <td>Returns a <code>const_iterator1</code> pointing to the end of |
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| 240 | the <code>triangular_matrix</code>.</td> |
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| 241 | </tr> |
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| 242 | <tr> |
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| 243 | <td><code>iterator1 begin1 ()</code></td> |
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| 244 | <td>Returns a <code>iterator1</code> pointing to the beginning of |
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| 245 | the <code>triangular_matrix</code>.</td> |
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| 246 | </tr> |
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| 247 | <tr> |
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| 248 | <td><code>iterator1 end1 ()</code></td> |
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| 249 | <td>Returns a <code>iterator1</code> pointing to the end of the |
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| 250 | <code>triangular_matrix</code>.</td> |
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| 251 | </tr> |
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| 252 | <tr> |
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| 253 | <td><code>const_iterator2 begin2 () const</code></td> |
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| 254 | <td>Returns a <code>const_iterator2</code> pointing to the |
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| 255 | beginning of the <code>triangular_matrix</code>.</td> |
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| 256 | </tr> |
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| 257 | <tr> |
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| 258 | <td><code>const_iterator2 end2 () const</code></td> |
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| 259 | <td>Returns a <code>const_iterator2</code> pointing to the end of |
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| 260 | the <code>triangular_matrix</code>.</td> |
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| 261 | </tr> |
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| 262 | <tr> |
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| 263 | <td><code>iterator2 begin2 ()</code></td> |
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| 264 | <td>Returns a <code>iterator2</code> pointing to the beginning of |
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| 265 | the <code>triangular_matrix</code>.</td> |
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| 266 | </tr> |
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| 267 | <tr> |
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| 268 | <td><code>iterator2 end2 ()</code></td> |
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| 269 | <td>Returns a <code>iterator2</code> pointing to the end of the |
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| 270 | <code>triangular_matrix</code>.</td> |
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| 271 | </tr> |
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| 272 | <tr> |
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| 273 | <td><code>const_reverse_iterator1 rbegin1 () const</code></td> |
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| 274 | <td>Returns a <code>const_reverse_iterator1</code> pointing to the |
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| 275 | beginning of the reversed <code>triangular_matrix</code>.</td> |
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| 276 | </tr> |
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| 277 | <tr> |
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| 278 | <td><code>const_reverse_iterator1 rend1 () const</code></td> |
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| 279 | <td>Returns a <code>const_reverse_iterator1</code> pointing to the |
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| 280 | end of the reversed <code>triangular_matrix</code>.</td> |
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| 281 | </tr> |
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| 282 | <tr> |
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| 283 | <td><code>reverse_iterator1 rbegin1 ()</code></td> |
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| 284 | <td>Returns a <code>reverse_iterator1</code> pointing to the |
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| 285 | beginning of the reversed <code>triangular_matrix</code>.</td> |
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| 286 | </tr> |
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| 287 | <tr> |
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| 288 | <td><code>reverse_iterator1 rend1 ()</code></td> |
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| 289 | <td>Returns a <code>reverse_iterator1</code> pointing to the end of |
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| 290 | the reversed <code>triangular_matrix</code>.</td> |
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| 291 | </tr> |
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| 292 | <tr> |
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| 293 | <td><code>const_reverse_iterator2 rbegin2 () const</code></td> |
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| 294 | <td>Returns a <code>const_reverse_iterator2</code> pointing to the |
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| 295 | beginning of the reversed <code>triangular_matrix</code>.</td> |
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| 296 | </tr> |
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| 297 | <tr> |
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| 298 | <td><code>const_reverse_iterator2 rend2 () const</code></td> |
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| 299 | <td>Returns a <code>const_reverse_iterator2</code> pointing to the |
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| 300 | end of the reversed <code>triangular_matrix</code>.</td> |
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| 301 | </tr> |
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| 302 | <tr> |
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| 303 | <td><code>reverse_iterator2 rbegin2 ()</code></td> |
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| 304 | <td>Returns a <code>reverse_iterator2</code> pointing to the |
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| 305 | beginning of the reversed <code>triangular_matrix</code>.</td> |
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| 306 | </tr> |
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| 307 | <tr> |
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| 308 | <td><code>reverse_iterator2 rend2 ()</code></td> |
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| 309 | <td>Returns a <code>reverse_iterator2</code> pointing to the end of |
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| 310 | the reversed <code>triangular_matrix</code>.</td> |
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| 311 | </tr> |
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| 312 | </tbody> |
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| 313 | </table> |
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| 314 | <h4>Notes</h4> |
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| 315 | <p><a name="triangular_matrix_1" id="triangular_matrix_1">[1]</a> |
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| 316 | Supported parameters for the type of the triangular matrix are |
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| 317 | <code>lower</code> , <code>unit_lower</code>, <code>upper</code> |
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| 318 | and <code>unit_upper</code> .</p> |
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| 319 | <p><a name="triangular_matrix_2" id="triangular_matrix_2">[2]</a> |
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| 320 | Supported parameters for the storage organization are |
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| 321 | <code>row_major</code> and <code>column_major</code>.</p> |
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| 322 | <p><a name="triangular_matrix_3" id="triangular_matrix_3">[3]</a> |
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| 323 | Supported parameters for the adapted array are |
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| 324 | <code>unbounded_array<T></code> , |
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| 325 | <code>bounded_array<T></code> and |
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| 326 | <code>std::vector<T></code> .</p> |
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| 327 | <h2><a name="triangular_adaptor" id="triangular_adaptor"></a>Triangular Adaptor</h2> |
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| 328 | <h4>Description</h4> |
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| 329 | <p>The templated class <code>triangular_adaptor<M, F></code> |
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| 330 | is a triangular matrix adaptor for other matrices.</p> |
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| 331 | <h4>Example</h4> |
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| 332 | <pre> |
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| 333 | #include <boost/numeric/ublas/triangular.hpp> |
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| 334 | #include <boost/numeric/ublas/io.hpp> |
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| 335 | |
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| 336 | int main () { |
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| 337 | using namespace boost::numeric::ublas; |
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| 338 | matrix<double> m (3, 3); |
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| 339 | triangular_adaptor<matrix<double>, lower> tal (m); |
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| 340 | for (unsigned i = 0; i < tal.size1 (); ++ i) |
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| 341 | for (unsigned j = 0; j <= i; ++ j) |
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| 342 | tal (i, j) = 3 * i + j; |
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| 343 | std::cout << tal << std::endl; |
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| 344 | triangular_adaptor<matrix<double>, upper> tau (m); |
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| 345 | for (unsigned i = 0; i < tau.size1 (); ++ i) |
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| 346 | for (unsigned j = i; j < tau.size2 (); ++ j) |
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| 347 | tau (i, j) = 3 * i + j; |
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| 348 | std::cout << tau << std::endl; |
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| 349 | } |
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| 350 | </pre> |
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| 351 | <h4>Definition</h4> |
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| 352 | <p>Defined in the header triangular.hpp.</p> |
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| 353 | <h4>Template parameters</h4> |
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| 354 | <table border="1" summary="parameters"> |
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| 355 | <tbody> |
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| 356 | <tr> |
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| 357 | <th>Parameter</th> |
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| 358 | <th>Description</th> |
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| 359 | <th>Default</th> |
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| 360 | </tr> |
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| 361 | <tr> |
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| 362 | <td><code>M</code></td> |
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| 363 | <td>The type of the adapted matrix.</td> |
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| 364 | <td></td> |
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| 365 | </tr> |
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| 366 | <tr> |
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| 367 | <td><code>F</code></td> |
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| 368 | <td>Functor describing the type of the triangular adaptor. <a href= |
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| 369 | "#triangular_adaptor_1">[1]</a></td> |
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| 370 | <td><code>lower</code></td> |
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| 371 | </tr> |
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| 372 | </tbody> |
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| 373 | </table> |
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| 374 | <h4>Model of</h4> |
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| 375 | <p><a href="expression_concept.htm#matrix_expression">Matrix Expression</a> |
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| 376 | .</p> |
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| 377 | <h4>Type requirements</h4> |
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| 378 | <p>None, except for those imposed by the requirements of <a href= |
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| 379 | "expression_concept.htm#matrix_expression">Matrix Expression</a> .</p> |
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| 380 | <h4>Public base classes</h4> |
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| 381 | <p><code>matrix_expression<triangular_adaptor<M, F> |
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| 382 | ></code></p> |
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| 383 | <h4>Members</h4> |
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| 384 | <table border="1" summary="members"> |
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| 385 | <tbody> |
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| 386 | <tr> |
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| 387 | <th>Member</th> |
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| 388 | <th>Description</th> |
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| 389 | </tr> |
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| 390 | <tr> |
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| 391 | <td><code>triangular_adaptor (matrix_type &data)</code></td> |
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| 392 | <td>Constructs a <code>triangular_adaptor</code> of a matrix.</td> |
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| 393 | </tr> |
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| 394 | <tr> |
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| 395 | <td><code>triangular_adaptor (const triangular_adaptor |
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| 396 | &m)</code></td> |
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| 397 | <td>The copy constructor.</td> |
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| 398 | </tr> |
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| 399 | <tr> |
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| 400 | <td><code>template<class AE><br /> |
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| 401 | triangular_adaptor (const matrix_expression<AE> |
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| 402 | &ae)</code></td> |
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| 403 | <td>The extended copy constructor.</td> |
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| 404 | </tr> |
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| 405 | <tr> |
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| 406 | <td><code>size_type size1 () const</code></td> |
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| 407 | <td>Returns the number of rows.</td> |
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| 408 | </tr> |
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| 409 | <tr> |
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| 410 | <td><code>size_type size2 () const</code></td> |
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| 411 | <td>Returns the number of columns.</td> |
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| 412 | </tr> |
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| 413 | <tr> |
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| 414 | <td><code>const_reference operator () (size_type i, size_type j) |
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| 415 | const</code></td> |
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| 416 | <td>Returns a <code>const</code> reference of the <code>j</code> |
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| 417 | -th element in the <code>i</code>-th row.</td> |
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| 418 | </tr> |
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| 419 | <tr> |
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| 420 | <td><code>reference operator () (size_type i, size_type |
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| 421 | j)</code></td> |
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| 422 | <td>Returns a reference of the <code>j</code>-th element in the |
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| 423 | <code>i</code>-th row.</td> |
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| 424 | </tr> |
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| 425 | <tr> |
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| 426 | <td><code>triangular_adaptor &operator = (const |
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| 427 | triangular_adaptor &m)</code></td> |
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| 428 | <td>The assignment operator.</td> |
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| 429 | </tr> |
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| 430 | <tr> |
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| 431 | <td><code>triangular_adaptor &assign_temporary |
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| 432 | (triangular_adaptor &m)</code></td> |
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| 433 | <td>Assigns a temporary. May change the triangular adaptor |
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| 434 | <code>m</code>.</td> |
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| 435 | </tr> |
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| 436 | <tr> |
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| 437 | <td><code>template<class AE><br /> |
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| 438 | triangular_adaptor &operator = (const |
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| 439 | matrix_expression<AE> &ae)</code></td> |
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| 440 | <td>The extended assignment operator.</td> |
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| 441 | </tr> |
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| 442 | <tr> |
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| 443 | <td><code>template<class AE><br /> |
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| 444 | triangular_adaptor &assign (const matrix_expression<AE> |
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| 445 | &ae)</code></td> |
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| 446 | <td>Assigns a matrix expression to the triangular adaptor. Left and |
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| 447 | right hand side of the assignment should be independent.</td> |
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| 448 | </tr> |
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| 449 | <tr> |
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| 450 | <td><code>template<class AE><br /> |
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| 451 | triangular_adaptor &operator += (const |
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| 452 | matrix_expression<AE> &ae)</code></td> |
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| 453 | <td>A computed assignment operator. Adds the matrix expression to |
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| 454 | the triangular adaptor.</td> |
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| 455 | </tr> |
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| 456 | <tr> |
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| 457 | <td><code>template<class AE><br /> |
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| 458 | triangular_adaptor &plus_assign (const |
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| 459 | matrix_expression<AE> &ae)</code></td> |
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| 460 | <td>Adds a matrix expression to the triangular adaptor. Left and |
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| 461 | right hand side of the assignment should be independent.</td> |
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| 462 | </tr> |
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| 463 | <tr> |
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| 464 | <td><code>template<class AE><br /> |
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| 465 | triangular_adaptor &operator -= (const |
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| 466 | matrix_expression<AE> &ae)</code></td> |
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| 467 | <td>A computed assignment operator. Subtracts the matrix expression |
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| 468 | from the triangular adaptor.</td> |
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| 469 | </tr> |
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| 470 | <tr> |
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| 471 | <td><code>template<class AE><br /> |
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| 472 | triangular_adaptor &minus_assign (const |
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| 473 | matrix_expression<AE> &ae)</code></td> |
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| 474 | <td>Subtracts a matrix expression from the triangular adaptor. Left |
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| 475 | and right hand side of the assignment should be independent.</td> |
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| 476 | </tr> |
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| 477 | <tr> |
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| 478 | <td><code>template<class AT><br /> |
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| 479 | triangular_adaptor &operator *= (const AT &at)</code></td> |
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| 480 | <td>A computed assignment operator. Multiplies the triangular |
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| 481 | adaptor with a scalar.</td> |
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| 482 | </tr> |
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| 483 | <tr> |
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| 484 | <td><code>template<class AT><br /> |
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| 485 | triangular_adaptor &operator /= (const AT &at)</code></td> |
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| 486 | <td>A computed assignment operator. Divides the triangular adaptor |
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| 487 | through a scalar.</td> |
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| 488 | </tr> |
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| 489 | <tr> |
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| 490 | <td><code>void swap (triangular_adaptor &m)</code></td> |
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| 491 | <td>Swaps the contents of the triangular adaptors.</td> |
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| 492 | </tr> |
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| 493 | <tr> |
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| 494 | <td><code>const_iterator1 begin1 () const</code></td> |
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| 495 | <td>Returns a <code>const_iterator1</code> pointing to the |
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| 496 | beginning of the <code>triangular_adaptor</code>.</td> |
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| 497 | </tr> |
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| 498 | <tr> |
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| 499 | <td><code>const_iterator1 end1 () const</code></td> |
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| 500 | <td>Returns a <code>const_iterator1</code> pointing to the end of |
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| 501 | the <code>triangular_adaptor</code>.</td> |
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| 502 | </tr> |
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| 503 | <tr> |
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| 504 | <td><code>iterator1 begin1 ()</code></td> |
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| 505 | <td>Returns a <code>iterator1</code> pointing to the beginning of |
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| 506 | the <code>triangular_adaptor</code>.</td> |
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| 507 | </tr> |
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| 508 | <tr> |
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| 509 | <td><code>iterator1 end1 ()</code></td> |
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| 510 | <td>Returns a <code>iterator1</code> pointing to the end of the |
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| 511 | <code>triangular_adaptor</code>.</td> |
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| 512 | </tr> |
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| 513 | <tr> |
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| 514 | <td><code>const_iterator2 begin2 () const</code></td> |
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| 515 | <td>Returns a <code>const_iterator2</code> pointing to the |
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| 516 | beginning of the <code>triangular_adaptor</code>.</td> |
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| 517 | </tr> |
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| 518 | <tr> |
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| 519 | <td><code>const_iterator2 end2 () const</code></td> |
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| 520 | <td>Returns a <code>const_iterator2</code> pointing to the end of |
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| 521 | the <code>triangular_adaptor</code>.</td> |
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| 522 | </tr> |
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| 523 | <tr> |
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| 524 | <td><code>iterator2 begin2 ()</code></td> |
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| 525 | <td>Returns a <code>iterator2</code> pointing to the beginning of |
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| 526 | the <code>triangular_adaptor</code>.</td> |
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| 527 | </tr> |
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| 528 | <tr> |
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| 529 | <td><code>iterator2 end2 ()</code></td> |
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| 530 | <td>Returns a <code>iterator2</code> pointing to the end of the |
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| 531 | <code>triangular_adaptor</code>.</td> |
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| 532 | </tr> |
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| 533 | <tr> |
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| 534 | <td><code>const_reverse_iterator1 rbegin1 () const</code></td> |
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| 535 | <td>Returns a <code>const_reverse_iterator1</code> pointing to the |
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| 536 | beginning of the reversed <code>triangular_adaptor</code>.</td> |
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| 537 | </tr> |
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| 538 | <tr> |
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| 539 | <td><code>const_reverse_iterator1 rend1 () const</code></td> |
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| 540 | <td>Returns a <code>const_reverse_iterator1</code> pointing to the |
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| 541 | end of the reversed <code>triangular_adaptor</code>.</td> |
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| 542 | </tr> |
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| 543 | <tr> |
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| 544 | <td><code>reverse_iterator1 rbegin1 ()</code></td> |
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| 545 | <td>Returns a <code>reverse_iterator1</code> pointing to the |
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| 546 | beginning of the reversed <code>triangular_adaptor</code>.</td> |
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| 547 | </tr> |
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| 548 | <tr> |
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| 549 | <td><code>reverse_iterator1 rend1 ()</code></td> |
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| 550 | <td>Returns a <code>reverse_iterator1</code> pointing to the end of |
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| 551 | the reversed <code>triangular_adaptor</code>.</td> |
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| 552 | </tr> |
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| 553 | <tr> |
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| 554 | <td><code>const_reverse_iterator2 rbegin2 () const</code></td> |
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| 555 | <td>Returns a <code>const_reverse_iterator2</code> pointing to the |
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| 556 | beginning of the reversed <code>triangular_adaptor</code>.</td> |
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| 557 | </tr> |
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| 558 | <tr> |
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| 559 | <td><code>const_reverse_iterator2 rend2 () const</code></td> |
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| 560 | <td>Returns a <code>const_reverse_iterator2</code> pointing to the |
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| 561 | end of the reversed <code>triangular_adaptor</code>.</td> |
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| 562 | </tr> |
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| 563 | <tr> |
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| 564 | <td><code>reverse_iterator2 rbegin2 ()</code></td> |
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| 565 | <td>Returns a <code>reverse_iterator2</code> pointing to the |
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| 566 | beginning of the reversed <code>triangular_adaptor</code>.</td> |
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| 567 | </tr> |
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| 568 | <tr> |
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| 569 | <td><code>reverse_iterator2 rend2 ()</code></td> |
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| 570 | <td>Returns a <code>reverse_iterator2</code> pointing to the end of |
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| 571 | the reversed <code>triangular_adaptor</code>.</td> |
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| 572 | </tr> |
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| 573 | </tbody> |
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| 574 | </table> |
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| 575 | <h4>Notes</h4> |
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| 576 | <p><a name="triangular_adaptor_1" id="triangular_adaptor_1">[1]</a> |
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| 577 | Supported parameters for the type of the triangular adaptor are |
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| 578 | <code>lower</code> , <code>unit_lower</code>, <code>upper</code> |
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| 579 | and <code>unit_upper</code> .</p> |
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| 580 | <hr /> |
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| 581 | <p>Copyright (©) 2000-2002 Joerg Walter, Mathias Koch<br /> |
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| 582 | Permission to copy, use, modify, sell and distribute this document |
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| 583 | is granted provided this copyright notice appears in all copies. |
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| 584 | This document is provided ``as is'' without express or implied |
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| 585 | warranty, and with no claim as to its suitability for any |
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| 586 | purpose.</p> |
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| 587 | </body> |
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| 588 | </html> |
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