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+<h2>Contents</h2>
+<ul>
+<li><a href="#Functions">Functions</a></li>
+</ul>
+
+
+<h2>Libraries</h2>
+<ul class="nowrap">
+ <li><a href="../libraries/pl.html">pl</a></li>
+ <li><a href="../libraries/pl.app.html">pl.app</a></li>
+ <li><strong>pl.array2d</strong></li>
+ <li><a href="../libraries/pl.class.html">pl.class</a></li>
+ <li><a href="../libraries/pl.compat.html">pl.compat</a></li>
+ <li><a href="../libraries/pl.comprehension.html">pl.comprehension</a></li>
+ <li><a href="../libraries/pl.config.html">pl.config</a></li>
+ <li><a href="../libraries/pl.data.html">pl.data</a></li>
+ <li><a href="../libraries/pl.dir.html">pl.dir</a></li>
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+ <li><a href="../libraries/pl.func.html">pl.func</a></li>
+ <li><a href="../libraries/pl.import_into.html">pl.import_into</a></li>
+ <li><a href="../libraries/pl.input.html">pl.input</a></li>
+ <li><a href="../libraries/pl.lapp.html">pl.lapp</a></li>
+ <li><a href="../libraries/pl.lexer.html">pl.lexer</a></li>
+ <li><a href="../libraries/pl.luabalanced.html">pl.luabalanced</a></li>
+ <li><a href="../libraries/pl.operator.html">pl.operator</a></li>
+ <li><a href="../libraries/pl.path.html">pl.path</a></li>
+ <li><a href="../libraries/pl.permute.html">pl.permute</a></li>
+ <li><a href="../libraries/pl.pretty.html">pl.pretty</a></li>
+ <li><a href="../libraries/pl.seq.html">pl.seq</a></li>
+ <li><a href="../libraries/pl.sip.html">pl.sip</a></li>
+ <li><a href="../libraries/pl.strict.html">pl.strict</a></li>
+ <li><a href="../libraries/pl.stringio.html">pl.stringio</a></li>
+ <li><a href="../libraries/pl.stringx.html">pl.stringx</a></li>
+ <li><a href="../libraries/pl.tablex.html">pl.tablex</a></li>
+ <li><a href="../libraries/pl.template.html">pl.template</a></li>
+ <li><a href="../libraries/pl.test.html">pl.test</a></li>
+ <li><a href="../libraries/pl.text.html">pl.text</a></li>
+ <li><a href="../libraries/pl.types.html">pl.types</a></li>
+ <li><a href="../libraries/pl.url.html">pl.url</a></li>
+ <li><a href="../libraries/pl.utils.html">pl.utils</a></li>
+ <li><a href="../libraries/pl.xml.html">pl.xml</a></li>
+</ul>
+<h2>Classes</h2>
+<ul class="nowrap">
+ <li><a href="../classes/pl.Date.html">pl.Date</a></li>
+ <li><a href="../classes/pl.List.html">pl.List</a></li>
+ <li><a href="../classes/pl.Map.html">pl.Map</a></li>
+ <li><a href="../classes/pl.MultiMap.html">pl.MultiMap</a></li>
+ <li><a href="../classes/pl.OrderedMap.html">pl.OrderedMap</a></li>
+ <li><a href="../classes/pl.Set.html">pl.Set</a></li>
+</ul>
+<h2>Manual</h2>
+<ul class="nowrap">
+ <li><a href="../manual/01-introduction.md.html">Introduction</a></li>
+ <li><a href="../manual/02-arrays.md.html">Tables and Arrays</a></li>
+ <li><a href="../manual/03-strings.md.html">Strings. Higher-level operations on strings.</a></li>
+ <li><a href="../manual/04-paths.md.html">Paths and Directories</a></li>
+ <li><a href="../manual/05-dates.md.html">Date and Time</a></li>
+ <li><a href="../manual/06-data.md.html">Data</a></li>
+ <li><a href="../manual/07-functional.md.html">Functional Programming</a></li>
+ <li><a href="../manual/08-additional.md.html">Additional Libraries</a></li>
+ <li><a href="../manual/09-discussion.md.html">Technical Choices</a></li>
+</ul>
+<h2>Examples</h2>
+<ul class="nowrap">
+ <li><a href="../examples/seesubst.lua.html">seesubst.lua</a></li>
+ <li><a href="../examples/sipscan.lua.html">sipscan.lua</a></li>
+ <li><a href="../examples/symbols.lua.html">symbols.lua</a></li>
+ <li><a href="../examples/test-cmp.lua.html">test-cmp.lua</a></li>
+ <li><a href="../examples/test-data.lua.html">test-data.lua</a></li>
+ <li><a href="../examples/test-listcallbacks.lua.html">test-listcallbacks.lua</a></li>
+ <li><a href="../examples/test-pretty.lua.html">test-pretty.lua</a></li>
+ <li><a href="../examples/test-symbols.lua.html">test-symbols.lua</a></li>
+ <li><a href="../examples/testclone.lua.html">testclone.lua</a></li>
+ <li><a href="../examples/testconfig.lua.html">testconfig.lua</a></li>
+ <li><a href="../examples/testglobal.lua.html">testglobal.lua</a></li>
+ <li><a href="../examples/testinputfields.lua.html">testinputfields.lua</a></li>
+ <li><a href="../examples/testinputfields2.lua.html">testinputfields2.lua</a></li>
+ <li><a href="../examples/testxml.lua.html">testxml.lua</a></li>
+ <li><a href="../examples/which.lua.html">which.lua</a></li>
+</ul>
+
+</div>
+
+<div id="content">
+
+<h1>Module <code>pl.array2d</code></h1>
+<p>Operations on two-dimensional arrays.</p>
+<p> See <a href="../manual/02-arrays.md.html#Operations_on_two_dimensional_tables">The Guide</a></p>
+
+<p> The size of the arrays is determined by using the length operator <code>#</code> hence
+ the module is not <code>nil</code> safe, and the usual precautions apply.</p>
+
+<p> Note: all functions taking <code>i1,j1,i2,j2</code> as arguments will normalize the
+ arguments using <a href="../libraries/pl.array2d.html#default_range">default_range</a>.</p>
+
+<p> Dependencies: <a href="../libraries/pl.utils.html#">pl.utils</a>, <a href="../libraries/pl.tablex.html#">pl.tablex</a>, <a href="../libraries/pl.types.html#">pl.types</a></p>
+
+
+<h2><a href="#Functions">Functions</a></h2>
+<table class="function_list">
+ <tr>
+ <td class="name" nowrap><a href="#size">size (a)</a></td>
+ <td class="summary">return the row and column size.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#column">column (a, j)</a></td>
+ <td class="summary">extract a column from the 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#row">row (a, i)</a></td>
+ <td class="summary">extract a row from the 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#map">map (f, a, arg)</a></td>
+ <td class="summary">map a function over a 2D array</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#reduce_rows">reduce_rows (f, a)</a></td>
+ <td class="summary">reduce the rows using a function.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#reduce_cols">reduce_cols (f, a)</a></td>
+ <td class="summary">reduce the columns using a function.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#reduce2">reduce2 (opc, opr, a)</a></td>
+ <td class="summary">reduce a 2D array into a scalar, using two operations.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#map2">map2 (f, ad, bd, a, b, arg)</a></td>
+ <td class="summary">map a function over two arrays.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#product">product (f, t1, t2)</a></td>
+ <td class="summary">cartesian product of two 1d arrays.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#flatten">flatten (t)</a></td>
+ <td class="summary">flatten a 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#reshape">reshape (t, nrows, co)</a></td>
+ <td class="summary">reshape a 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#transpose">transpose (t)</a></td>
+ <td class="summary">transpose a 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#swap_rows">swap_rows (t, i1, i2)</a></td>
+ <td class="summary">swap two rows of an array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#swap_cols">swap_cols (t, j1, j2)</a></td>
+ <td class="summary">swap two columns of an array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#extract_rows">extract_rows (t, ridx)</a></td>
+ <td class="summary">extract the specified rows.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#extract_cols">extract_cols (t, cidx)</a></td>
+ <td class="summary">extract the specified columns.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#remove_row">remove_row (t, i)</a></td>
+ <td class="summary">remove a row from an array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#remove_col">remove_col (t, j)</a></td>
+ <td class="summary">remove a column from an array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#parse_range">parse_range (s)</a></td>
+ <td class="summary">parse a spreadsheet range.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#range">range (t, rstr)</a></td>
+ <td class="summary">get a slice of a 2D array using spreadsheet range notation.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#default_range">default_range (t, i1, j1, i2, j2)</a></td>
+ <td class="summary">normalizes coordinates to valid positive entries and defaults.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#slice">slice (t, i1, j1, i2, j2)</a></td>
+ <td class="summary">get a slice of a 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#set">set (t, value, i1, j1, i2, j2)</a></td>
+ <td class="summary">set a specified range of an array to a value.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#write">write (t, f, fmt, i1, j1, i2, j2)</a></td>
+ <td class="summary">write a 2D array to a file.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#forall">forall (t, row_op, end_row_op, i1, j1, i2, j2)</a></td>
+ <td class="summary">perform an operation for all values in a 2D array.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#move">move (dest, di, dj, src, i1, j1, i2, j2)</a></td>
+ <td class="summary">move a block from the destination to the source.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#iter">iter (a, indices, i1, j1, i2, j2)</a></td>
+ <td class="summary">iterate over all elements in a 2D array, with optional indices.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#columns">columns (a)</a></td>
+ <td class="summary">iterate over all columns.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#rows">rows (a)</a></td>
+ <td class="summary">iterate over all rows.</td>
+ </tr>
+ <tr>
+ <td class="name" nowrap><a href="#new">new (rows, cols, val)</a></td>
+ <td class="summary">new array of specified dimensions</td>
+ </tr>
+</table>
+
+<br/>
+<br/>
+
+
+ <h2 class="section-header "><a name="Functions"></a>Functions</h2>
+
+ <dl class="function">
+ <dt>
+ <a name = "size"></a>
+ <strong>size (a)</strong>
+ </dt>
+ <dd>
+ return the row and column size.
+ Size is calculated using the Lua length operator #, so usual precautions
+ regarding <code>nil</code> values apply.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2d array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ number of rows (<code>#a</code>)</li>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ number of cols (<code>#a[1]</code>)</li>
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "column"></a>
+ <strong>column (a, j)</strong>
+ </dt>
+ <dd>
+ extract a column from the 2D array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">j</span>
+ column index
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 1d array
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "row"></a>
+ <strong>row (a, i)</strong>
+ </dt>
+ <dd>
+ extract a row from the 2D array.
+ Added in line with <a href="../libraries/pl.array2d.html#column">column</a>, for read-only purposes directly
+ accessing a[i] is more performant.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">i</span>
+ row index
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 1d array (copy of the row)
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "map"></a>
+ <strong>map (f, a, arg)</strong>
+ </dt>
+ <dd>
+ map a function over a 2D array
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">f</span>
+ <span class="types"><span class="type">func</span></span>
+ a function of at least one argument
+ </li>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">arg</span>
+ an optional extra argument to be passed to the function.
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 2d array
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "reduce_rows"></a>
+ <strong>reduce_rows (f, a)</strong>
+ </dt>
+ <dd>
+ reduce the rows using a function.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">f</span>
+ <span class="types"><span class="type">func</span></span>
+ a binary function
+ </li>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 1d array
+ </ol>
+
+
+ <h3>See also:</h3>
+ <ul>
+ <a href="../libraries/pl.tablex.html#reduce">pl.tablex.reduce</a>
+ </ul>
+
+
+</dd>
+ <dt>
+ <a name = "reduce_cols"></a>
+ <strong>reduce_cols (f, a)</strong>
+ </dt>
+ <dd>
+ reduce the columns using a function.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">f</span>
+ <span class="types"><span class="type">func</span></span>
+ a binary function
+ </li>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 1d array
+ </ol>
+
+
+ <h3>See also:</h3>
+ <ul>
+ <a href="../libraries/pl.tablex.html#reduce">pl.tablex.reduce</a>
+ </ul>
+
+
+</dd>
+ <dt>
+ <a name = "reduce2"></a>
+ <strong>reduce2 (opc, opr, a)</strong>
+ </dt>
+ <dd>
+ reduce a 2D array into a scalar, using two operations.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">opc</span>
+ <span class="types"><span class="type">func</span></span>
+ operation to reduce the final result
+ </li>
+ <li><span class="parameter">opr</span>
+ <span class="types"><span class="type">func</span></span>
+ operation to reduce the rows
+ </li>
+ <li><span class="parameter">a</span>
+ 2D array
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "map2"></a>
+ <strong>map2 (f, ad, bd, a, b, arg)</strong>
+ </dt>
+ <dd>
+ map a function over two arrays.
+ They can be both or either 2D arrays
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">f</span>
+ <span class="types"><span class="type">func</span></span>
+ function of at least two arguments
+ </li>
+ <li><span class="parameter">ad</span>
+ <span class="types"><span class="type">int</span></span>
+ order of first array (<code>1</code> if <code>a</code> is a list/array, <code>2</code> if it is a 2d array)
+ </li>
+ <li><span class="parameter">bd</span>
+ <span class="types"><span class="type">int</span></span>
+ order of second array (<code>1</code> if <code>b</code> is a list/array, <code>2</code> if it is a 2d array)
+ </li>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">tab</span></span>
+ 1d or 2d array
+ </li>
+ <li><span class="parameter">b</span>
+ <span class="types"><span class="type">tab</span></span>
+ 1d or 2d array
+ </li>
+ <li><span class="parameter">arg</span>
+ optional extra argument to pass to function
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 2D array, unless both arrays are 1D
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "product"></a>
+ <strong>product (f, t1, t2)</strong>
+ </dt>
+ <dd>
+ cartesian product of two 1d arrays.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">f</span>
+ <span class="types"><span class="type">func</span></span>
+ a function of 2 arguments
+ </li>
+ <li><span class="parameter">t1</span>
+ <span class="types"><span class="type">array</span></span>
+ a 1d table
+ </li>
+ <li><span class="parameter">t2</span>
+ <span class="types"><span class="type">array</span></span>
+ a 1d table
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ 2d table
+ </ol>
+
+
+
+ <h3>Usage:</h3>
+ <ul>
+ <pre class="example">product(<span class="string">'..'</span>,{<span class="number">1</span>,<span class="number">2</span>},{<span class="string">'a'</span>,<span class="string">'b'</span>}) == {{<span class="string">'1a'</span>,<span class="string">'2a'</span>},{<span class="string">'1b'</span>,<span class="string">'2b'</span>}}</pre>
+ </ul>
+
+</dd>
+ <dt>
+ <a name = "flatten"></a>
+ <strong>flatten (t)</strong>
+ </dt>
+ <dd>
+ flatten a 2D array.
+ (this goes over columns first.)
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d table
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a 1d table
+ </ol>
+
+
+
+ <h3>Usage:</h3>
+ <ul>
+ <pre class="example">flatten {{<span class="number">1</span>,<span class="number">2</span>},{<span class="number">3</span>,<span class="number">4</span>},{<span class="number">5</span>,<span class="number">6</span>}} == {<span class="number">1</span>,<span class="number">2</span>,<span class="number">3</span>,<span class="number">4</span>,<span class="number">5</span>,<span class="number">6</span>}</pre>
+ </ul>
+
+</dd>
+ <dt>
+ <a name = "reshape"></a>
+ <strong>reshape (t, nrows, co)</strong>
+ </dt>
+ <dd>
+ reshape a 2D array. Reshape the aray by specifying a new nr of rows.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">nrows</span>
+ <span class="types"><span class="type">int</span></span>
+ new number of rows
+ </li>
+ <li><span class="parameter">co</span>
+ <span class="types"><span class="type">bool</span></span>
+ use column-order (Fortran-style) (default false)
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a new 2d array
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "transpose"></a>
+ <strong>transpose (t)</strong>
+ </dt>
+ <dd>
+ transpose a 2D array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a new 2d array
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "swap_rows"></a>
+ <strong>swap_rows (t, i1, i2)</strong>
+ </dt>
+ <dd>
+ swap two rows of an array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2d array
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ a row index
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ a row index
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ t (same, modified 2d array)
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "swap_cols"></a>
+ <strong>swap_cols (t, j1, j2)</strong>
+ </dt>
+ <dd>
+ swap two columns of an array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2d array
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ a column index
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ a column index
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ t (same, modified 2d array)
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "extract_rows"></a>
+ <strong>extract_rows (t, ridx)</strong>
+ </dt>
+ <dd>
+ extract the specified rows.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">ridx</span>
+ <span class="types"><span class="type">{int}</span></span>
+ a table of row indices
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a new 2d array with the extracted rows
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "extract_cols"></a>
+ <strong>extract_cols (t, cidx)</strong>
+ </dt>
+ <dd>
+ extract the specified columns.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2d array
+ </li>
+ <li><span class="parameter">cidx</span>
+ <span class="types"><span class="type">{int}</span></span>
+ a table of column indices
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a new 2d array with the extracted colums
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "remove_row"></a>
+ <strong>remove_row (t, i)</strong>
+ </dt>
+ <dd>
+ remove a row from an array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2d array
+ </li>
+ <li><span class="parameter">i</span>
+ <span class="types"><span class="type">int</span></span>
+ a row index
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "remove_col"></a>
+ <strong>remove_col (t, j)</strong>
+ </dt>
+ <dd>
+ remove a column from an array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2d array
+ </li>
+ <li><span class="parameter">j</span>
+ <span class="types"><span class="type">int</span></span>
+ a column index
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "parse_range"></a>
+ <strong>parse_range (s)</strong>
+ </dt>
+ <dd>
+ parse a spreadsheet range.
+ The range can be specified either as 'A1:B2' or 'R1C1:R2C2';
+ a special case is a single element (e.g 'A1' or 'R1C1')
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">s</span>
+ <span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
+ a range (case insensitive).
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ start row</li>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ start col</li>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ end row</li>
+ <li>
+ <span class="types"><span class="type">int</span></span>
+ end col</li>
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "range"></a>
+ <strong>range (t, rstr)</strong>
+ </dt>
+ <dd>
+ get a slice of a 2D array using spreadsheet range notation. @see parse_range
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">rstr</span>
+ <span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
+ range expression
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ a slice
+ </ol>
+
+
+ <h3>See also:</h3>
+ <ul>
+ <li><a href="../libraries/pl.array2d.html#parse_range">array2d.parse_range</a></li>
+ <li><a href="../libraries/pl.array2d.html#slice">array2d.slice</a></li>
+ </ul>
+
+
+</dd>
+ <dt>
+ <a name = "default_range"></a>
+ <strong>default_range (t, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ normalizes coordinates to valid positive entries and defaults.
+ Negative indices will be counted from the end, too low, or too high
+ will be limited by the array sizes.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ return i1, j1, i2, j2
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "slice"></a>
+ <strong>slice (t, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ get a slice of a 2D array. Note that if the specified range has
+ a 1D result, the rank of the result will be 1.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ an array, 2D in general but 1D in special cases.
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "set"></a>
+ <strong>set (t, value, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ set a specified range of an array to a value.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">value</span>
+ the value (may be a function, called as <code>val(i,j)</code>)
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+
+
+ <h3>See also:</h3>
+ <ul>
+ <a href="../libraries/pl.tablex.html#set">tablex.set</a>
+ </ul>
+
+
+</dd>
+ <dt>
+ <a name = "write"></a>
+ <strong>write (t, f, fmt, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ write a 2D array to a file.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">f</span>
+ a file object (default stdout)
+ </li>
+ <li><span class="parameter">fmt</span>
+ <span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
+ a format string (default is just to use tostring)
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "forall"></a>
+ <strong>forall (t, row_op, end_row_op, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ perform an operation for all values in a 2D array.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">t</span>
+ <span class="types"><span class="type">array</span></span>
+ 2D array
+ </li>
+ <li><span class="parameter">row_op</span>
+ <span class="types"><span class="type">func</span></span>
+ function to call on each value; <code>row_op(row,j)</code>
+ </li>
+ <li><span class="parameter">end_row_op</span>
+ <span class="types"><span class="type">func</span></span>
+ function to call at end of each row; <code>end_row_op(i)</code>
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "move"></a>
+ <strong>move (dest, di, dj, src, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ move a block from the destination to the source.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">dest</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">di</span>
+ <span class="types"><span class="type">int</span></span>
+ start row in dest
+ </li>
+ <li><span class="parameter">dj</span>
+ <span class="types"><span class="type">int</span></span>
+ start col in dest
+ </li>
+ <li><span class="parameter">src</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+
+
+
+
+</dd>
+ <dt>
+ <a name = "iter"></a>
+ <strong>iter (a, indices, i1, j1, i2, j2)</strong>
+ </dt>
+ <dd>
+ iterate over all elements in a 2D array, with optional indices.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ 2D array
+ </li>
+ <li><span class="parameter">indices</span>
+ <span class="types"><span class="type">bool</span></span>
+ with indices (default false)
+ </li>
+ <li><span class="parameter">i1</span>
+ <span class="types"><span class="type">int</span></span>
+ start row (default 1)
+ </li>
+ <li><span class="parameter">j1</span>
+ <span class="types"><span class="type">int</span></span>
+ start col (default 1)
+ </li>
+ <li><span class="parameter">i2</span>
+ <span class="types"><span class="type">int</span></span>
+ end row (default N)
+ </li>
+ <li><span class="parameter">j2</span>
+ <span class="types"><span class="type">int</span></span>
+ end col (default M)
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ either <code>value</code> or <code>i,j,value</code> depending on the value of <code>indices</code>
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "columns"></a>
+ <strong>columns (a)</strong>
+ </dt>
+ <dd>
+ iterate over all columns.
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ column, column-index
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "rows"></a>
+ <strong>rows (a)</strong>
+ </dt>
+ <dd>
+ iterate over all rows.
+ Returns a copy of the row, for read-only purrposes directly iterating
+ is more performant; <code>ipairs(a)</code>
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">a</span>
+ <span class="types"><span class="type">array</span></span>
+ a 2D array
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ row, row-index
+ </ol>
+
+
+
+
+</dd>
+ <dt>
+ <a name = "new"></a>
+ <strong>new (rows, cols, val)</strong>
+ </dt>
+ <dd>
+ new array of specified dimensions
+
+
+ <h3>Parameters:</h3>
+ <ul>
+ <li><span class="parameter">rows</span>
+ <span class="types"><span class="type">int</span></span>
+ number of rows
+ </li>
+ <li><span class="parameter">cols</span>
+ <span class="types"><span class="type">int</span></span>
+ number of cols
+ </li>
+ <li><span class="parameter">val</span>
+ initial value; if it's a function then use <code>val(i,j)</code>
+ </li>
+ </ul>
+
+ <h3>Returns:</h3>
+ <ol>
+
+ new 2d array
+ </ol>
+
+
+
+
+</dd>
+</dl>
+
+
+</div> <!-- id="content" -->
+</div> <!-- id="main" -->
+<div id="about">
+<i>generated by <a href="http://github.com/stevedonovan/LDoc">LDoc 1.4.6</a></i>
+</div> <!-- id="about" -->
+</div> <!-- id="container" -->
+</body>
+</html>