public static function Ex1()
{
// returnam raspunsul sub forma de json
// completant headerul
header('Content-Type: application/json');
// initializam variabilele
$n = $_POST['n'];
$A = self::getMatrixFromString($_POST['matrice']);
$epsilon = $_POST['epsilon'];
$Ae = self::appendIn($A, $n);
$gauss = self::GaussElimination($Ae, $n, $epsilon);
if ($gauss[1]) {
echo json_encode(array("sts" => 0, "n" => $n, "epsilon" => pow(10, -$epsilon), "A" => self::getStringFromArray($A), "Ae" => self::getStringFromArray($gauss[0]), "invA" => "Matrice Singulara"));
} else {
$divide = self::divideIn($gauss[0], $n);
$R = $divide[0];
$B = $divide[1];
$Ai = array();
for ($i = 0; $i < $n; $i++) {
$x = HomeWork2::getX($R, $n, $B[$i]);
$Ai[$i] = $x;
}
$AxAi = self::multiplyMatrixes($A, $Ai);
$In = self::genI($n);
$norm = self::getNorm1(self::subtractMatrices($AxAi, $In, $n), $n);
echo json_encode(array("sts" => 1, "n" => $n, "epsilon" => pow(10, -$epsilon), "A" => self::getStringFromMatrix($A), "Ae" => self::getStringFromMatrix($gauss[0]), "invA" => self::getStringFromMatrix($Ai), "det" => self::getDeterminantT($R), "norm" => self::getStringFromArray($norm)));
}
}
break;
}
break;
case 2:
switch ($_POST['action']) {
case 'ex1':
HomeWork2::ex1();
break;
case 'ex2':
HomeWork2::ex2();
break;
case 'ex3':
HomeWork2::ex3();
break;
case 'ex4':
HomeWork2::ex4();
break;
}
break;
case 3:
switch ($_POST['action']) {
case 'ex1':
HomeWork3::ex1();
break;
}
break;
case 4:
switch ($_POST['action']) {
case 'ex1':
HomeWork4::ex1();
break;
