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computer.php
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computer.php
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#!/usr/bin/php
<?php
if ($argc > 1)
{
$check = preg_replace("/[\d\s.*+-X\^=]/", "", $argv[1]);
if ($check[0] || preg_match_all("/[X]\^-\d/", $argv[1], $check2))
{
echo "Syntax error\n";
exit();
}
if (preg_match_all("/[X]\^(10)|(20)/", $argv[1], $check2))
{
echo "The polynomial degree is stricly greater than 2, I can't solve.\n";
exit();
}
$first = explode("=", $argv[1]);
$first[0] = simplify($first[0], 0);
echo "degree 0 left side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first[0] = simplify($first[0], 1);
echo "degree 1 left side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first[0] = simplify($first[0], 2);
echo "degree 2 left side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first[1] = simplify($first[1], 0);
echo "degree 0 right side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first[1] = simplify($first[1], 1);
echo "degree 1 right side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first[1] = simplify($first[1], 2);
echo "degree 2 right side of the equation simplification:\n " . $first[0] . " = " . $first[1] . "\n";
$first = transfert($first[0], $first[1], 0);
if (!isset($first[1]))
$first[1] = "0";
echo "degree 0 transfert:\n " . $first[0] . " = " . $first[1] . "\n";
$first = transfert($first[0], $first[1], 1);
if (!isset($first[1]))
$first[1] = "0";
echo "degree 1 transfert:\n " . $first[0] . " = " . $first[1] . "\n";
$first = transfert($first[0], $first[1], 2);
if (!isset($first[1]) || !empty($first[1]))
$first[1] = "0";
echo "degree 2 transfert:\n " . $first[0] . " = " . $first[1] . "\n";
echo "\n\nreduced form: " . $first[0] . " = " . $first[1] . "\n\n";
if (preg_match_all("/[X]\^([3-9])/", $argv[1], $check2))
{
echo "Polynomial degree: ". $check2[1][0] . "\nThe polynomial degree is stricly greater than 2, I can't solve.\n";
exit();
}
$elems = getReady($first);
if ($elems["a"])
{
echo "Polynomial degree: 2\n";
$delta = getDeltaSecondDegree($elems);
echo "Discriminant: " . $delta . "\n";
getSolutionsSecondDegree($elems, $delta);
}
else if ($elems["b"])
{
echo "Polynomial degree: 1\n";
getSolutionsFirstDegree($elems);
}
else if ($elems["c"] == 0)
{
echo "Every real numbers are the solution\n";
}
else if ($elems["c"] < 0)
{
echo "There is no solution\n";
}
}
function simplify($str, $deg)
{
$str = trim($str);
$reg = "/(([\+\-]?)\s?(\d+[.]?\d?+)\s?[*]\s?[X]\^" . $deg . ")/";
while (preg_match_all($reg, $str, $matches) > 1 && $matches)
{
if ($matches[0][0] && $matches[0][1])
{
$sign = $matches[2][0];
$sign2 = $matches[2][1];
if ($matches[2][1] == '+')
{
if ($matches[2][0] == '-')
$result = $matches[3][0] - $matches[3][1];
else
$result = $matches[3][0] + $matches[3][1];
$str = applySimplification($result, $sign, $sign2, $matches, $deg, $str);
}
else if ($matches[2][1] == '-')
{
$result = $matches[3][0] - $matches[3][1];
if ($result < 0 && $matches[2][0] == '+')
{
$matches[2][0] = '-';
preg_match("/\d+[.]?\d?+/", $result, $tmp);
$result = $tmp[0];
}
else if ($matches[2][0] == '-')
$result = $matches[3][0] + $matches[3][1];
$str = applySimplification($result, $sign, $sign2, $matches, $deg, $str);
}
}
}
return $str;
}
function applySimplification($result, $sign, $sign2, $matches, $deg, $str)
{
if ($sign2)
$regex2 = "/([\\" . $sign2 . "]\s?" . $matches[3][1] . "\s?[*]\s?[X]\^" . $deg . ")/";
else
$regex2 = "/(\s?" . $matches[3][1] . "\s?[*]\s?[X]\^" . $deg . ")/";
$str = preg_replace($regex2, "", $str);
if ($sign)
$regex = "/([\\" . $sign . "]\s?" . $matches[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
else
$regex = "/(\s?" . $matches[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
if ($result != 0)
$str = preg_replace($regex, $matches[2][0] . " " . $result . " * X^" . $deg, $str);
else
$str = preg_replace($regex, "", $str);
return $str;
}
function transfert($str, $str2, $deg)
{
$str = trim($str);
$reg = "/([\+\-]?)\s?((\d+[.]?\d?+)\s?[*]\s?[X]\^" . $deg . ")/";
preg_match_all($reg, $str, $matches);
$reg = "/([\+\-]?)\s?((\d+[.]?\d?+)\s?[*]\s?[X]\^" . $deg . ")/";
preg_match_all($reg, $str2, $matches2);
if ($matches && $matches2)
{
$sign = $matches[1][0];
$sign2 = $matches2[1][0];
if ($matches[0][0] && $matches2[0][0])
{
if ($matches2[1][0] == '+' || !$matches2[1][0])
{
$result = $matches[3][0] - $matches2[3][0];
if ($result < 0 && ($matches[1][0] == '+' || !$matches[1][0]))
{
$matches[1][0] = '-';
preg_match("/\d+[.]?\d?+/", $result, $tmp);
$result = $tmp[0];
}
else if ($matches[1][0] == '-')
{
$result = $matches[3][0] + $matches2[3][0];
}
$str = applyTransfert($result, $sign, $sign2, $matches, $matches2, $deg, $str, $str2);
}
else if ($matches2[1][0] == '-')
{
$result = $matches[3][0] + $matches2[3][0];
$str = applyTransfert($result, $sign, $sign2, $matches, $matches2, $deg, $str, $str2);
}
return $str;
}
else if ($matches2[0][0])
{
if ($sign2)
$regex2 = "/([\\" . $sign2 . "]\s?" . $matches2[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
else
$regex2 = "/(\s?" . $matches2[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
$str2 = preg_replace($regex2, "0", $str2);
if ((!$sign2 || $sign2 == '+') && $matches2[3][0] != '0')
$str = implode(" - ", Array($str, $matches2[2][0]));
else if ($sign2 == '-' && $matches2[3][0] != '0')
$str = implode(" + ", Array($str, $matches2[2][0]));
return Array($str, $str2);
}
else if (!isset($str2))
$str2 = "0";
}
return Array($str, $str2);
}
function applyTransfert($result, $sign, $sign2, $matches, $matches2, $deg, $str, $str2)
{
if ($sign2)
$regex2 = "/([\\" . $sign2 . "]\s?" . $matches2[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
else
$regex2 = "/(\s?" . $matches2[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
$str2 = preg_replace($regex2, "", $str2);
if (!$str2)
$str2 = "0";
if ($sign)
$regex = "/([\\" . $sign . "]\s?" . $matches[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
else
$regex = "/(\s?" . $matches[3][0] . "\s?[*]\s?[X]\^" . $deg . ")/";
if ($result != 0)
$str = preg_replace($regex, $matches[1][0] . " " . $result . " * X^" . $deg, $str);
else
$str = preg_replace($regex, "", $str);
return Array($str, $str2);
}
function getReady($equation)
{
preg_match_all("/(([\+\-]?)\s?(\d+[.]\d+)\s?[*]\s?[X]\^0)/", $equation[0], $deg0);
if (!$deg0[2][0])
preg_match_all("/(([\+\-]?)\s?(\d+[.]?\d?+)\s?[*]\s?[X]\^0)/", $equation[0], $deg0);
preg_match_all("/(([\+\-]?)\s?(\d+[.]\d+)\s?[*]\s?[X]\^1)/", $equation[0], $deg1);
if (!$deg1[2][0])
preg_match_all("/(([\+\-]?)\s?(\d+[.]?\d?+)\s?[*]\s?[X]\^1)/", $equation[0], $deg1);
preg_match_all("/(([\+\-]?)\s?(\d+[.]\d+)\s?[*]\s?[X]\^2)/", $equation[0], $deg2);
if (!$deg2[2][0])
preg_match_all("/(([\+\-]?)\s?(\d+[.]?\d?+)\s?[*]\s?[X]\^2)/", $equation[0], $deg2);
preg_match_all("/(([\+\-]?)\s?(\d+[.]?\d?+)\s?[*]\s?[X]\^([^1^2^0]))/", $equation[0], $check);
if ($check[2][0])
{
echo "Polynomial degree: " . $check[4][0] . "\nThe polynomial degree is stricly greater than 2, I can't solve.\n";
exit();
}
$c = implode(Array($deg0[2][0], $deg0[3][0]));
$b = implode(Array($deg1[2][0], $deg1[3][0]));
$a = implode(Array($deg2[2][0], $deg2[3][0]));
return Array("a" => $a, "b" => $b,"c" => $c);
}
function getDeltaSecondDegree($elems)
{
$one = $elems["b"] * $elems["b"];
$two = 4 * $elems["a"] * $elems["c"];
$delta = $one - $two;
return $delta;
}
function getSolutionsSecondDegree($elems, $delta)
{
if ($delta > 0)
{
$one = - $elems["b"] - sqrt($delta);
$two = 2 * $elems["a"];
$solution1 = $one / $two;
$one = - $elems["b"] + sqrt($delta);
$solution2 = $one / $two;
echo "Discriminant is strictly positive, the two solutions are:\n" . $solution1 . "\n" . $solution2 . "\n";
}
else if ($delta == 0)
{
$one = 2 * $elems["a"];
$solution = - ($elems["b"] / $one);
echo "Discriminant equals 0, the solution is:\n" . $solution . "\n";
}
else if ($delta < 0)
{
echo "Discriminant is strictly negative, the two solutions are:\n";
$one = 2 * $elems["a"];
$two = - $elems["b"] / $one;
$three = sqrt(-$delta) / $one;
echo round($two, 6) . " + " . round($three, 6) . "i\n";
echo round($two, 6) . " - " . round($three, 6) . "i\n";
}
}
function getSolutionsFirstDegree($elems)
{
if ($elems["c"] > 0)
$one = preg_replace("/\+/", "-", $elems["c"]);
else if ($elems["c"] < 0)
$one = preg_replace("/\-/", "+", $elems["c"]);
$solution = - $one / $elems["b"];
echo "The solution is:\n" . $solution . "\n";
return ;
}
?>