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<?php
include "../Matrix.php";
/**
* Tiling of matrix X in [rowWise by colWise] dimension. Tiling
* creates a larger matrix than the original data X. Example, if
* X is to be tiled in a [3 x 4] manner, then:
*
* / \
* | X X X X |
* C = | X X X X |
* | X X X X |
* \ /
*
* @param X Matrix
* @param rowWise int
* @param colWise int
* @return Matrix
*/
function tile(&$X, $rowWise, $colWise){
$xArray = $X->getArray();
print_r($xArray);
$countRow = 0;
$countColumn = 0;
$m = $X->getRowDimension();
$n = $X->getColumnDimension();
if( $rowWise<1 || $colWise<1 ){
die("tile : Array index is out-of-bound.");
}
$newRowDim = $m*$rowWise;
$newColDim = $n*$colWise;
$result = array();
for($i=0 ; $i<$newRowDim; ++$i) {
$holder = array();
for($j=0 ; $j<$newColDim ; ++$j) {
$holder[$j] = $xArray[$countRow][$countColumn++];
// reset the column-index to zero to avoid reference to out-of-bound index in xArray[][]
if($countColumn == $n) { $countColumn = 0; }
} // end for
++$countRow;
// reset the row-index to zero to avoid reference to out-of-bound index in xArray[][]
if($countRow == $m) { $countRow = 0; }
$result[$i] = $holder;
} // end for
return new Matrix($result);
}
$X =array(1,2,3,4,5,6,7,8,9);
$nRow = 3;
$nCol = 3;
$tiled_matrix = tile(new Matrix($X), $nRow, $nCol);
echo "<pre>";
print_r($tiled_matrix);
echo "</pre>";
?>