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<p>
Previous: <a href="Arrays.html#Arrays" accesskey="p" rel="prev">Arrays</a>, Up: <a href="Arrays.html#Arrays" accesskey="u" rel="up">Arrays</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Constructors-and-Assignment-1"></a>
<h3 class="section">3.1 Constructors and Assignment</h3>
<dl>
<dt><a name="index-Array_003cT_003e"></a>Constructor: <em></em> <strong>Array<T></strong> <em>(void)</em></dt>
<dd><p>Create an array with no elements.
</p></dd></dl>
<dl>
<dt><a name="index-Array_003cT_003e-1"></a>Constructor: <em></em> <strong>Array<T></strong> <em>(int <var>n</var> [, const T &<var>val</var>])</em></dt>
<dd><p>Create an array with <var>n</var> elements. If the optional argument
<var>val</var> is supplied, the elements are initialized to <var>val</var>;
otherwise, they are left uninitialized. If <var>n</var> is less than zero,
the current error handler is invoked (see <a href="Error-Handling.html#Error-Handling">Error Handling</a>).
</p></dd></dl>
<dl>
<dt><a name="index-Array_003cT_003e-2"></a>Constructor: <em></em> <strong>Array<T></strong> <em>(const Array<T> &<var>a</var>)</em></dt>
<dd><p>Create a copy of the <var>Array<T></var> object <var>a</var>. Memory for the
<var>Array<T></var> class is managed using a reference counting scheme, so
the cost of this operation is independent of the size of the array.
</p></dd></dl>
<dl>
<dt><a name="index-operator-_003d-on-Array_003cT_003e"></a>Assignment on Array<T>: <em>Array<T>&</em> <strong>operator =</strong> <em>(const Array<T> &<var>a</var>)</em></dt>
<dd><p>Assignment operator. Memory for the <var>Array<T></var> class is managed
using a reference counting scheme, so the cost of this operation is
independent of the size of the array.
</p></dd></dl>
<dl>
<dt><a name="index-capacity-on-Array_003cT_003e"></a>Method on Array<T>: <em>int</em> <strong>capacity</strong> <em>(void) const</em></dt>
<dt><a name="index-length-on-Array_003cT_003e"></a>Method on Array<T>: <em>int</em> <strong>length</strong> <em>(void) const</em></dt>
<dd><p>Return the length of the array.
</p></dd></dl>
<dl>
<dt><a name="index-elem-on-Array_003cT_003e"></a>Method on Array<T>: <em>T&</em> <strong>elem</strong> <em>(int <var>n</var>)</em></dt>
<dt><a name="index-checkelem-on-Array_003cT_003e"></a>Method on Array<T>: <em>T&</em> <strong>checkelem</strong> <em>(int <var>n</var>)</em></dt>
<dd><p>If <var>n</var> is within the bounds of the array, return a reference to the
element indexed by <var>n</var>; otherwise, the current error handler is
invoked (see <a href="Error-Handling.html#Error-Handling">Error Handling</a>).
</p></dd></dl>
<dl>
<dt><a name="index-operator-_0028_0029-on-Array_003cT_003e"></a>Indexing on Array<T>: <em>T&</em> <strong>operator ()</strong> <em>(int <var>n</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-elem-on-Array_003cT_003e-1"></a>Method on Array<T>: <em>T</em> <strong>elem</strong> <em>(int <var>n</var>) const</em></dt>
<dt><a name="index-checkelem-on-Array_003cT_003e-1"></a>Method on Array<T>: <em>T</em> <strong>checkelem</strong> <em>(int <var>n</var>) const</em></dt>
<dd><p>If <var>n</var> is within the bounds of the array, return the value indexed
by <var>n</var>; otherwise, call the current error handler.
See <a href="Error-Handling.html#Error-Handling">Error Handling</a>.
</p></dd></dl>
<dl>
<dt><a name="index-operator-_0028_0029-on-Array_003cT_003e-1"></a>Indexing on Array<T>: <em>T</em> <strong>operator ()</strong> <em>(int <var>n</var>) const</em></dt>
</dl>
<dl>
<dt><a name="index-xelem-on-Array_003cT_003e"></a>Method on Array<T>: <em>T&</em> <strong>xelem</strong> <em>(int <var>n</var>)</em></dt>
<dt><a name="index-xelem-on-Array_003cT_003e-1"></a>Method on Array<T>: <em>T</em> <strong>xelem</strong> <em>(int <var>n</var>) const</em></dt>
<dd><p>Return a reference to, or the value of, the element indexed by <var>n</var>.
These methods never perform bounds checking.
</p></dd></dl>
<dl>
<dt><a name="index-resize-on-Array_003cT_003e"></a>Method on Array<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var> [, const T &<var>val</var>])</em></dt>
<dd><p>Change the size of the array to be <var>n</var> elements. All elements are
unchanged, except that if <var>n</var> is greater than the current size and
the optional argument <var>val</var> is provided, the additional elements are
initialized to <var>val</var>; otherwise, any additional elements are left
uninitialized. In the current implementation, if <var>n</var> is less than
the current size, the length is updated but no memory is released.
</p></dd></dl>
<dl>
<dt><a name="index-data-on-Array_003cT_003e"></a>Method on Array<T>: <em>const T*</em> <strong>data</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-Array2_003cT_003e"></a>Constructor: <em></em> <strong>Array2<T></strong> <em>Array2<T> Array2 (void)</em></dt>
<dt><a name="index-Array2_003cT_003e-1"></a>Constructor: <em></em> <strong>Array2<T></strong> <em>(int <var>n</var>, int <var>m</var>)</em></dt>
<dt><a name="index-Array2_003cT_003e-2"></a>Constructor: <em></em> <strong>Array2<T></strong> <em>(int <var>n</var>, int <var>m</var>, const T &<var>val</var>)</em></dt>
<dt><a name="index-Array2_003cT_003e-3"></a>Constructor: <em></em> <strong>Array2<T></strong> <em>(const Array2<T> &<var>a</var>)</em></dt>
<dt><a name="index-Array2_003cT_003e-4"></a>Constructor: <em></em> <strong>Array2<T></strong> <em>(const DiagArray<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-on-Array2_003cT_003e"></a>Assignment on Array2<T>: <em>Array2<T>&</em> <strong>operator =</strong> <em>(const Array2<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-dim1-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>int</em> <strong>dim1</strong> <em>(void) const</em></dt>
<dt><a name="index-rows-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>int</em> <strong>rows</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-dim2-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>int</em> <strong>dim2</strong> <em>(void) const</em></dt>
<dt><a name="index-cols-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>int</em> <strong>cols</strong> <em>(void) const</em></dt>
<dt><a name="index-columns-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>int</em> <strong>columns</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-elem-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>T&</em> <strong>elem</strong> <em>(int <var>i</var>, int <var>j</var>)</em></dt>
<dt><a name="index-checkelem-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>T&</em> <strong>checkelem</strong> <em>(int <var>i</var>, int <var>j</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_0028_0029-on-Array2_003cT_003e"></a>Indexing on Array2<T>: <em>T&</em> <strong>operator ()</strong> <em>(int <var>i</var>, int <var>j</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-resize-on-Array2_003cT_003e"></a>Method on Array2<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>)</em></dt>
<dt><a name="index-resize-on-Array2_003cT_003e-1"></a>Method on Array2<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>, const T &<var>val</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-Array3_003cT_003e"></a>Constructor: <em></em> <strong>Array3<T></strong> <em>(void)</em></dt>
<dt><a name="index-Array3_003cT_003e-1"></a>Constructor: <em></em> <strong>Array3<T></strong> <em>(int <var>n</var>, int <var>m</var>, int <var>k</var>)</em></dt>
<dt><a name="index-Array3_003cT_003e-2"></a>Constructor: <em></em> <strong>Array3<T></strong> <em>(int <var>n</var>, int <var>m</var>, int <var>k</var>, const T &<var>val</var>)</em></dt>
<dt><a name="index-Array3_003cT_003e-3"></a>Constructor: <em></em> <strong>Array3<T></strong> <em>(const Array3<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-on-Array3_003cT_003e"></a>Assignment on Array3<T>: <em>Array3<T>&</em> <strong>operator =</strong> <em>(const Array3<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-dim1-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>int</em> <strong>dim1</strong> <em>(void) const</em></dt>
<dt><a name="index-dim2-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>int</em> <strong>dim2</strong> <em>(void) const</em></dt>
<dt><a name="index-dim3-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>int</em> <strong>dim3</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-elem-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>T&</em> <strong>elem</strong> <em>(int <var>i</var>, int <var>j</var>, int <var>k</var>)</em></dt>
<dt><a name="index-checkelem-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>T&</em> <strong>checkelem</strong> <em>(int <var>i</var>, int <var>j</var>, int <var>k</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_0028_0029-on-Array3_003cT_003e"></a>Indexing on Array3<T>: <em>T&</em> <strong>operator ()</strong> <em>(int <var>i</var>, int <var>j</var>, int <var>k</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-resize-on-Array3_003cT_003e"></a>Method on Array3<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>, int <var>k</var>)</em></dt>
<dt><a name="index-resize-on-Array3_003cT_003e-1"></a>Method on Array3<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>, int <var>k</var>, const T &<var>val</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-DiagArray_003cT_003e"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(void)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-1"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(int <var>n</var>)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-2"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(int <var>n</var>, const T &<var>val</var>)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-3"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(int <var>r</var>, int <var>c</var>)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-4"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(int <var>r</var>, int <var>c</var>, const T &<var>val</var>)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-5"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(const Array<T> &<var>a</var>)</em></dt>
<dt><a name="index-DiagArray_003cT_003e-6"></a>Constructor: <em></em> <strong>DiagArray<T></strong> <em>(const DiagArray<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-on-DiagArray_003cT_003e_0026"></a>Assignment on DiagArray<T>&: <em></em> <strong>operator =</strong> <em>(const DiagArray<T> &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-dim1-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>int</em> <strong>dim1</strong> <em>(void) const</em></dt>
<dt><a name="index-rows-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>int</em> <strong>rows</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-dim2-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>int</em> <strong>dim2</strong> <em>(void) const</em></dt>
<dt><a name="index-cols-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>int</em> <strong>cols</strong> <em>(void) const</em></dt>
<dt><a name="index-columns-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>int</em> <strong>columns</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-elem-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>T&</em> <strong>elem</strong> <em>(int <var>r</var>, int <var>c</var>)</em></dt>
<dt><a name="index-checkelem-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>T&</em> <strong>checkelem</strong> <em>(int <var>r</var>, int <var>c</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_0028_0029-on-DiagArray_003cT_003e"></a>Indexing on DiagArray<T>: <em>T&</em> <strong>operator ()</strong> <em>(int <var>r</var>, int <var>c</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-resize-on-DiagArray_003cT_003e"></a>Method on DiagArray<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>)</em></dt>
<dt><a name="index-resize-on-DiagArray_003cT_003e-1"></a>Method on DiagArray<T>: <em>void</em> <strong>resize</strong> <em>(int <var>n</var>, int <var>m</var>, const T &<var>val</var>)</em></dt>
</dl>
<p>The real and complex <code>ColumnVector</code> and <code>RowVector</code> classes
all have the following functions. These will eventually be part of an
<code>MArray<T></code> class, derived from the <code>Array<T></code> class. Then
the <code>ColumnVector</code> and <code>RowVector</code> classes will be derived
from the <code>MArray<T></code> class.
</p>
<p>Element by element vector by scalar ops.
</p>
<dl>
<dt><a name="index-operator-_002b"></a>: <em>RowVector</em> <strong>operator +</strong> <em>(const RowVector &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002d"></a>: <em>RowVector</em> <strong>operator -</strong> <em>(const RowVector &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002a"></a>: <em>RowVector</em> <strong>operator *</strong> <em>(const RowVector &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002f"></a>: <em>RowVector</em> <strong>operator /</strong> <em>(const RowVector &<var>a</var>, const double &<var>s</var>)</em></dt>
</dl>
<p>Element by element scalar by vector ops.
</p>
<dl>
<dt><a name="index-operator-_002b-1"></a>: <em>RowVector</em> <strong>operator +</strong> <em>(const double &<var>s</var>, const RowVector &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002d-1"></a>: <em>RowVector</em> <strong>operator -</strong> <em>(const double &<var>s</var>, const RowVector &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002a-1"></a>: <em>RowVector</em> <strong>operator *</strong> <em>(const double &<var>s</var>, const RowVector &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002f-1"></a>: <em>RowVector</em> <strong>operator /</strong> <em>(const double &<var>s</var>, const RowVector &<var>a</var>)</em></dt>
</dl>
<p>Element by element vector by vector ops.
</p>
<dl>
<dt><a name="index-operator-_002b-2"></a>: <em>RowVector</em> <strong>operator +</strong> <em>(const RowVector &<var>a</var>, const RowVector &<var>b</var>)</em></dt>
<dt><a name="index-operator-_002d-2"></a>: <em>RowVector</em> <strong>operator -</strong> <em>(const RowVector &<var>a</var>, const RowVector &<var>b</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-product"></a>: <em>RowVector</em> <strong>product</strong> <em>(const RowVector &<var>a</var>, const RowVector &<var>b</var>)</em></dt>
<dt><a name="index-quotient"></a>: <em>RowVector</em> <strong>quotient</strong> <em>(const RowVector &<var>a</var>, const RowVector &<var>b</var>)</em></dt>
</dl>
<p>Unary MArray ops.
</p>
<dl>
<dt><a name="index-operator-_002d-3"></a>: <em>RowVector</em> <strong>operator -</strong> <em>(const RowVector &<var>a</var>)</em></dt>
</dl>
<p>The <code>Matrix</code> classes share the following functions. These will
eventually be part of an <code>MArray2<T></code> class, derived from the
<code>Array2<T></code> class. Then the <code>Matrix</code> class will be derived
from the <code>MArray<T></code> class.
</p>
<p>Element by element matrix by scalar ops.
</p>
<dl>
<dt><a name="index-operator-_002b-3"></a>: <em>Matrix</em> <strong>operator +</strong> <em>(const Matrix &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002d-4"></a>: <em>Matrix</em> <strong>operator -</strong> <em>(const Matrix &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002a-2"></a>: <em>Matrix</em> <strong>operator *</strong> <em>(const Matrix &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002f-2"></a>: <em>Matrix</em> <strong>operator /</strong> <em>(const Matrix &<var>a</var>, const double &<var>s</var>)</em></dt>
</dl>
<p>Element by element scalar by matrix ops.
</p>
<dl>
<dt><a name="index-operator-_002b-4"></a>: <em>Matrix</em> <strong>operator +</strong> <em>(const double &<var>s</var>, const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002d-5"></a>: <em>Matrix</em> <strong>operator -</strong> <em>(const double &<var>s</var>, const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002a-3"></a>: <em>Matrix</em> <strong>operator *</strong> <em>(const double &<var>s</var>, const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-operator-_002f-3"></a>: <em>Matrix</em> <strong>operator /</strong> <em>(const double &<var>s</var>, const Matrix &<var>a</var>)</em></dt>
</dl>
<p>Element by element matrix by matrix ops.
</p>
<dl>
<dt><a name="index-operator-_002b-5"></a>: <em>Matrix</em> <strong>operator +</strong> <em>(const Matrix &<var>a</var>, const Matrix &<var>b</var>)</em></dt>
<dt><a name="index-operator-_002d-6"></a>: <em>Matrix</em> <strong>operator -</strong> <em>(const Matrix &<var>a</var>, const Matrix &<var>b</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-product-1"></a>: <em>Matrix</em> <strong>product</strong> <em>(const Matrix &<var>a</var>, const Matrix &<var>b</var>)</em></dt>
<dt><a name="index-quotient-1"></a>: <em>Matrix</em> <strong>quotient</strong> <em>(const Matrix &<var>a</var>, const Matrix &<var>b</var>)</em></dt>
</dl>
<p>Unary matrix ops.
</p>
<dl>
<dt><a name="index-operator-_002d-7"></a>: <em>Matrix</em> <strong>operator -</strong> <em>(const Matrix &<var>a</var>)</em></dt>
</dl>
<p>The <code>DiagMatrix</code> classes share the following functions. These will
eventually be part of an <code>MDiagArray<T></code> class, derived from the
<code>DiagArray<T></code> class. Then the <code>DiagMatrix</code> class will be
derived from the <code>MDiagArray<T></code> class.
</p>
<p>Element by element MDiagArray by scalar ops.
</p>
<dl>
<dt><a name="index-operator-_002a-4"></a>: <em>DiagMatrix</em> <strong>operator *</strong> <em>(const DiagMatrix &<var>a</var>, const double &<var>s</var>)</em></dt>
<dt><a name="index-operator-_002f-4"></a>: <em>DiagMatrix</em> <strong>operator /</strong> <em>(const DiagMatrix &<var>a</var>, const double &<var>s</var>)</em></dt>
</dl>
<p>Element by element scalar by MDiagArray ops.
</p>
<dl>
<dt><a name="index-operator-_002a-5"></a>: <em>DiagMatrix</em> <strong>operator *</strong> <em>(const double &<var>s</var>, const DiagMatrix &<var>a</var>)</em></dt>
</dl>
<p>Element by element MDiagArray by MDiagArray ops.
</p>
<dl>
<dt><a name="index-operator-_002b-6"></a>: <em>DiagMatrix</em> <strong>operator +</strong> <em>(const DiagMatrix &<var>a</var>, const DiagMatrix &<var>b</var>)</em></dt>
<dt><a name="index-operator-_002d-8"></a>: <em>DiagMatrix</em> <strong>operator -</strong> <em>(const DiagMatrix &<var>a</var>, const DiagMatrix &<var>b</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-product-2"></a>: <em>DiagMatrix</em> <strong>product</strong> <em>(const DiagMatrix &<var>a</var>, const DiagMatrix &<var>b</var>)</em></dt>
</dl>
<p>Unary MDiagArray ops.
</p>
<dl>
<dt><a name="index-operator-_002d-9"></a>: <em>DiagMatrix</em> <strong>operator -</strong> <em>(const DiagMatrix &<var>a</var>)</em></dt>
</dl>
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