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<?php
/**
* File containing the ezcGraphTransformation class
*
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements. See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership. The ASF licenses this file
* to you under the Apache License, Version 2.0 (the
* "License"); you may not use this file except in compliance
* with the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing,
* software distributed under the License is distributed on an
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* KIND, either express or implied. See the License for the
* specific language governing permissions and limitations
* under the License.
*
* @package Graph
* @version //autogentag//
* @license http://www.apache.org/licenses/LICENSE-2.0 Apache License, Version 2.0
* @access private
*/
/**
* Class defining transformations
*
* Three dimensional matrices (3x3) may be used to specify transformation of
* points, vectors and complexer structures in a two dimensional cartesian
* coordinate system. For more details have a look here:
* http://en.wikipedia.org/wiki/Transformation_matrix
*
* There are some classes extending this basic tranformation class, to
* give you more convinient access to the creation of such transformation
* matrices, which are:
*
* - ezcGraphRotation (rotations of objects)
* - ezcGraphTranslation (moving of objects)
*
* @version //autogentag//
* @package Graph
* @access private
*/
class ezcGraphTransformation extends ezcGraphMatrix
{
/**
* Constructor
*
* Creates a matrix with 3x3 dimensions. Optionally accepts an array to
* define the initial matrix values. If no array is given an identity
* matrix is created.
*
* @param array $values
* @return void
*/
public function __construct( array $values = null )
{
parent::__construct( 3, 3, $values );
}
/**
* Multiplies two matrices
*
* Multiply current matrix with another matrix and returns the result
* matrix.
*
* @param ezcGraphMatrix $matrix Second factor
* @return ezcGraphMatrix Result matrix
*/
public function multiply( ezcGraphMatrix $matrix )
{
$mColumns = $matrix->columns();
// We want to ensure, that the matrix stays 3x3
if ( ( $this->columns !== $matrix->rows() ) &&
( $this->rows !== $mColumns ) )
{
throw new ezcGraphMatrixInvalidDimensionsException( $this->columns, $this->rows, $mColumns, $matrix->rows() );
}
$result = parent::multiply( $matrix );
// The matrix dimensions stay the same, so that we can modify $this.
for ( $i = 0; $i < $this->rows; ++$i )
{
for ( $j = 0; $j < $mColumns; ++$j )
{
$this->set( $i, $j, $result->get( $i, $j ) );
}
}
return $this;
}
/**
* Transform a coordinate with the current transformation matrix.
*
* @param ezcGraphCoordinate $coordinate
* @return ezcGraphCoordinate
*/
public function transformCoordinate( ezcGraphCoordinate $coordinate )
{
$vector = new ezcGraphMatrix( 3, 1, array( array( $coordinate->x ), array( $coordinate->y ), array( 1 ) ) );
$vector = parent::multiply( $vector );
return new ezcGraphCoordinate( $vector->get( 0, 0 ), $vector->get( 1, 0 ) );
}
}
?>
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