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-rw-r--r--admin/survey/excel/PHPExcel/Shared/JAMA/tests/TestMatrix.php415
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diff --git a/admin/survey/excel/PHPExcel/Shared/JAMA/tests/TestMatrix.php b/admin/survey/excel/PHPExcel/Shared/JAMA/tests/TestMatrix.php
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-<?php
-
-require_once "../Matrix.php";
-
-class TestMatrix {
-
- function TestMatrix() {
-
- // define test variables
-
- $errorCount = 0;
- $warningCount = 0;
- $columnwise = array(1.,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.);
- $rowwise = array(1.,4.,7.,10.,2.,5.,8.,11.,3.,6.,9.,12.);
- $avals = array(array(1.,4.,7.,10.),array(2.,5.,8.,11.),array(3.,6.,9.,12.));
- $rankdef = $avals;
- $tvals = array(array(1.,2.,3.),array(4.,5.,6.),array(7.,8.,9.),array(10.,11.,12.));
- $subavals = array(array(5.,8.,11.),array(6.,9.,12.));
- $rvals = array(array(1.,4.,7.),array(2.,5.,8.,11.),array(3.,6.,9.,12.));
- $pvals = array(array(1.,1.,1.),array(1.,2.,3.),array(1.,3.,6.));
- $ivals = array(array(1.,0.,0.,0.),array(0.,1.,0.,0.),array(0.,0.,1.,0.));
- $evals = array(array(0.,1.,0.,0.),array(1.,0.,2.e-7,0.),array(0.,-2.e-7,0.,1.),array(0.,0.,1.,0.));
- $square = array(array(166.,188.,210.),array(188.,214.,240.),array(210.,240.,270.));
- $sqSolution = array(array(13.),array(15.));
- $condmat = array(array(1.,3.),array(7.,9.));
- $rows = 3;
- $cols = 4;
- $invalidID = 5; /* should trigger bad shape for construction with val */
- $raggedr = 0; /* (raggedr,raggedc) should be out of bounds in ragged array */
- $raggedc = 4;
- $validID = 3; /* leading dimension of intended test Matrices */
- $nonconformld = 4; /* leading dimension which is valid, but nonconforming */
- $ib = 1; /* index ranges for sub Matrix */
- $ie = 2;
- $jb = 1;
- $je = 3;
- $rowindexset = array(1,2);
- $badrowindexset = array(1,3);
- $columnindexset = array(1,2,3);
- $badcolumnindexset = array(1,2,4);
- $columnsummax = 33.;
- $rowsummax = 30.;
- $sumofdiagonals = 15;
- $sumofsquares = 650;
-
- /**
- * Test matrix methods
- */
-
- /**
- * Constructors and constructor-like methods:
- *
- * Matrix(double[], int)
- * Matrix(double[][])
- * Matrix(int, int)
- * Matrix(int, int, double)
- * Matrix(int, int, double[][])
- * constructWithCopy(double[][])
- * random(int,int)
- * identity(int)
- */
- echo "<p>Testing constructors and constructor-like methods...</p>";
-
- $A = new Matrix($columnwise, 3);
- if($A instanceof Matrix) {
- $this->try_success("Column-packed constructor...");
- } else
- $errorCount = $this->try_failure($errorCount, "Column-packed constructor...", "Unable to construct Matrix");
-
- $T = new Matrix($tvals);
- if($T instanceof Matrix)
- $this->try_success("2D array constructor...");
- else
- $errorCount = $this->try_failure($errorCount, "2D array constructor...", "Unable to construct Matrix");
-
- $A = new Matrix($columnwise, $validID);
- $B = new Matrix($avals);
- $tmp = $B->get(0,0);
- $avals[0][0] = 0.0;
- $C = $B->minus($A);
- $avals[0][0] = $tmp;
- $B = Matrix::constructWithCopy($avals);
- $tmp = $B->get(0,0);
- $avals[0][0] = 0.0;
- /** check that constructWithCopy behaves properly **/
- if ( ( $tmp - $B->get(0,0) ) != 0.0 )
- $errorCount = $this->try_failure($errorCount,"constructWithCopy... ","copy not effected... data visible outside");
- else
- $this->try_success("constructWithCopy... ","");
-
- $I = new Matrix($ivals);
- if ( $this->checkMatrices($I,Matrix::identity(3,4)) )
- $this->try_success("identity... ","");
- else
- $errorCount = $this->try_failure($errorCount,"identity... ","identity Matrix not successfully created");
-
- /**
- * Access Methods:
- *
- * getColumnDimension()
- * getRowDimension()
- * getArray()
- * getArrayCopy()
- * getColumnPackedCopy()
- * getRowPackedCopy()
- * get(int,int)
- * getMatrix(int,int,int,int)
- * getMatrix(int,int,int[])
- * getMatrix(int[],int,int)
- * getMatrix(int[],int[])
- * set(int,int,double)
- * setMatrix(int,int,int,int,Matrix)
- * setMatrix(int,int,int[],Matrix)
- * setMatrix(int[],int,int,Matrix)
- * setMatrix(int[],int[],Matrix)
- */
- print "<p>Testing access methods...</p>";
-
- $B = new Matrix($avals);
- if($B->getRowDimension() == $rows)
- $this->try_success("getRowDimension...");
- else
- $errorCount = $this->try_failure($errorCount, "getRowDimension...");
-
- if($B->getColumnDimension() == $cols)
- $this->try_success("getColumnDimension...");
- else
- $errorCount = $this->try_failure($errorCount, "getColumnDimension...");
-
- $barray = $B->getArray();
- if($this->checkArrays($barray, $avals))
- $this->try_success("getArray...");
- else
- $errorCount = $this->try_failure($errorCount, "getArray...");
-
- $bpacked = $B->getColumnPackedCopy();
- if($this->checkArrays($bpacked, $columnwise))
- $this->try_success("getColumnPackedCopy...");
- else
- $errorCount = $this->try_failure($errorCount, "getColumnPackedCopy...");
-
- $bpacked = $B->getRowPackedCopy();
- if($this->checkArrays($bpacked, $rowwise))
- $this->try_success("getRowPackedCopy...");
- else
- $errorCount = $this->try_failure($errorCount, "getRowPackedCopy...");
-
- /**
- * Array-like methods:
- * minus
- * minusEquals
- * plus
- * plusEquals
- * arrayLeftDivide
- * arrayLeftDivideEquals
- * arrayRightDivide
- * arrayRightDivideEquals
- * arrayTimes
- * arrayTimesEquals
- * uminus
- */
- print "<p>Testing array-like methods...</p>";
-
- /**
- * I/O methods:
- * read
- * print
- * serializable:
- * writeObject
- * readObject
- */
- print "<p>Testing I/O methods...</p>";
-
- /**
- * Test linear algebra methods
- */
- echo "<p>Testing linear algebra methods...<p>";
-
- $A = new Matrix($columnwise, 3);
- if( $this->checkMatrices($A->transpose(), $T) )
- $this->try_success("Transpose check...");
- else
- $errorCount = $this->try_failure($errorCount, "Transpose check...", "Matrices are not equal");
-
- if($this->checkScalars($A->norm1(), $columnsummax))
- $this->try_success("Maximum column sum...");
- else
- $errorCount = $this->try_failure($errorCount, "Maximum column sum...", "Incorrect: " . $A->norm1() . " != " . $columnsummax);
-
- if($this->checkScalars($A->normInf(), $rowsummax))
- $this->try_success("Maximum row sum...");
- else
- $errorCount = $this->try_failure($errorCount, "Maximum row sum...", "Incorrect: " . $A->normInf() . " != " . $rowsummax );
-
- if($this->checkScalars($A->normF(), sqrt($sumofsquares)))
- $this->try_success("Frobenius norm...");
- else
- $errorCount = $this->try_failure($errorCount, "Frobenius norm...", "Incorrect:" . $A->normF() . " != " . sqrt($sumofsquares));
-
- if($this->checkScalars($A->trace(), $sumofdiagonals))
- $this->try_success("Matrix trace...");
- else
- $errorCount = $this->try_failure($errorCount, "Matrix trace...", "Incorrect: " . $A->trace() . " != " . $sumofdiagonals);
-
- $B = $A->getMatrix(0, $A->getRowDimension(), 0, $A->getRowDimension());
- if( $B->det() == 0 )
- $this->try_success("Matrix determinant...");
- else
- $errorCount = $this->try_failure($errorCount, "Matrix determinant...", "Incorrect: " . $B->det() . " != " . 0);
-
- $A = new Matrix($columnwise,3);
- $SQ = new Matrix($square);
- if ($this->checkMatrices($SQ, $A->times($A->transpose())))
- $this->try_success("times(Matrix)...");
- else {
- $errorCount = $this->try_failure($errorCount, "times(Matrix)...", "Unable to multiply matrices");
- $SQ->toHTML();
- $AT->toHTML();
- }
-
- $A = new Matrix($columnwise, 4);
-
- $QR = $A->qr();
- $R = $QR->getR();
- $Q = $QR->getQ();
- if($this->checkMatrices($A, $Q->times($R)))
- $this->try_success("QRDecomposition...","");
- else
- $errorCount = $this->try_failure($errorCount,"QRDecomposition...","incorrect qr decomposition calculation");
-
- $A = new Matrix($columnwise, 4);
- $SVD = $A->svd();
- $U = $SVD->getU();
- $S = $SVD->getS();
- $V = $SVD->getV();
- if ($this->checkMatrices($A, $U->times($S->times($V->transpose()))))
- $this->try_success("SingularValueDecomposition...","");
- else
- $errorCount = $this->try_failure($errorCount,"SingularValueDecomposition...","incorrect singular value decomposition calculation");
-
- $n = $A->getColumnDimension();
- $A = $A->getMatrix(0,$n-1,0,$n-1);
- $A->set(0,0,0.);
-
- $LU = $A->lu();
- $L = $LU->getL();
- if ( $this->checkMatrices($A->getMatrix($LU->getPivot(),0,$n-1), $L->times($LU->getU())) )
- $this->try_success("LUDecomposition...","");
- else
- $errorCount = $this->try_failure($errorCount,"LUDecomposition...","incorrect LU decomposition calculation");
-
- $X = $A->inverse();
- if ( $this->checkMatrices($A->times($X),Matrix::identity(3,3)) )
- $this->try_success("inverse()...","");
- else
- $errorCount = $this->try_failure($errorCount, "inverse()...","incorrect inverse calculation");
-
- $DEF = new Matrix($rankdef);
- if($this->checkScalars($DEF->rank(), min($DEF->getRowDimension(), $DEF->getColumnDimension())-1))
- $this->try_success("Rank...");
- else
- $this->try_failure("Rank...", "incorrect rank calculation");
-
- $B = new Matrix($condmat);
- $SVD = $B->svd();
- $singularvalues = $SVD->getSingularValues();
- if($this->checkScalars($B->cond(), $singularvalues[0]/$singularvalues[min($B->getRowDimension(), $B->getColumnDimension())-1]))
- $this->try_success("Condition number...");
- else
- $this->try_failure("Condition number...", "incorrect condition number calculation");
-
- $SUB = new Matrix($subavals);
- $O = new Matrix($SUB->getRowDimension(),1,1.0);
- $SOL = new Matrix($sqSolution);
- $SQ = $SUB->getMatrix(0,$SUB->getRowDimension()-1,0,$SUB->getRowDimension()-1);
- if ( $this->checkMatrices($SQ->solve($SOL),$O) )
- $this->try_success("solve()...","");
- else
- $errorCount = $this->try_failure($errorCount,"solve()...","incorrect lu solve calculation");
-
- $A = new Matrix($pvals);
- $Chol = $A->chol();
- $L = $Chol->getL();
- if ( $this->checkMatrices($A, $L->times($L->transpose())) )
- $this->try_success("CholeskyDecomposition...","");
- else
- $errorCount = $this->try_failure($errorCount,"CholeskyDecomposition...","incorrect Cholesky decomposition calculation");
-
- $X = $Chol->solve(Matrix::identity(3,3));
- if ( $this->checkMatrices($A->times($X), Matrix::identity(3,3)) )
- $this->try_success("CholeskyDecomposition solve()...","");
- else
- $errorCount = $this->try_failure($errorCount,"CholeskyDecomposition solve()...","incorrect Choleskydecomposition solve calculation");
-
- $Eig = $A->eig();
- $D = $Eig->getD();
- $V = $Eig->getV();
- if( $this->checkMatrices($A->times($V),$V->times($D)) )
- $this->try_success("EigenvalueDecomposition (symmetric)...","");
- else
- $errorCount = $this->try_failure($errorCount,"EigenvalueDecomposition (symmetric)...","incorrect symmetric Eigenvalue decomposition calculation");
-
- $A = new Matrix($evals);
- $Eig = $A->eig();
- $D = $Eig->getD();
- $V = $Eig->getV();
- if ( $this->checkMatrices($A->times($V),$V->times($D)) )
- $this->try_success("EigenvalueDecomposition (nonsymmetric)...","");
- else
- $errorCount = $this->try_failure($errorCount,"EigenvalueDecomposition (nonsymmetric)...","incorrect nonsymmetric Eigenvalue decomposition calculation");
-
- print("<b>{$errorCount} total errors</b>.");
- }
-
- /**
- * Print appropriate messages for successful outcome try
- * @param string $s
- * @param string $e
- */
- function try_success($s, $e = "") {
- print "> ". $s ."success<br />";
- if ($e != "")
- print "> Message: ". $e ."<br />";
- }
-
- /**
- * Print appropriate messages for unsuccessful outcome try
- * @param int $count
- * @param string $s
- * @param string $e
- * @return int incremented counter
- */
- function try_failure($count, $s, $e="") {
- print "> ". $s ."*** failure ***<br />> Message: ". $e ."<br />";
- return ++$count;
- }
-
- /**
- * Print appropriate messages for unsuccessful outcome try
- * @param int $count
- * @param string $s
- * @param string $e
- * @return int incremented counter
- */
- function try_warning($count, $s, $e="") {
- print "> ". $s ."*** warning ***<br />> Message: ". $e ."<br />";
- return ++$count;
- }
-
- /**
- * Check magnitude of difference of "scalars".
- * @param float $x
- * @param float $y
- */
- function checkScalars($x, $y) {
- $eps = pow(2.0,-52.0);
- if ($x == 0 & abs($y) < 10*$eps) return;
- if ($y == 0 & abs($x) < 10*$eps) return;
- if (abs($x-$y) > 10 * $eps * max(abs($x),abs($y)))
- return false;
- else
- return true;
- }
-
- /**
- * Check norm of difference of "vectors".
- * @param float $x[]
- * @param float $y[]
- */
- function checkVectors($x, $y) {
- $nx = count($x);
- $ny = count($y);
- if ($nx == $ny)
- for($i=0; $i < $nx; ++$i)
- $this->checkScalars($x[$i],$y[$i]);
- else
- die("Attempt to compare vectors of different lengths");
- }
-
- /**
- * Check norm of difference of "arrays".
- * @param float $x[][]
- * @param float $y[][]
- */
- function checkArrays($x, $y) {
- $A = new Matrix($x);
- $B = new Matrix($y);
- return $this->checkMatrices($A,$B);
- }
-
- /**
- * Check norm of difference of "matrices".
- * @param matrix $X
- * @param matrix $Y
- */
- function checkMatrices($X = null, $Y = null) {
- if( $X == null || $Y == null )
- return false;
-
- $eps = pow(2.0,-52.0);
- if ($X->norm1() == 0. & $Y->norm1() < 10*$eps) return true;
- if ($Y->norm1() == 0. & $X->norm1() < 10*$eps) return true;
-
- $A = $X->minus($Y);
-
- if ($A->norm1() > 1000 * $eps * max($X->norm1(),$Y->norm1()))
- die("The norm of (X-Y) is too large: ".$A->norm1());
- else
- return true;
- }
-
-}
-
-$test = new TestMatrix;
-?>
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