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1 | <?php |
2 | /** |
3 | * Jingga |
4 | * |
5 | * PHP Version 8.1 |
6 | * |
7 | * @package phpOMS\Math\Parser |
8 | * @copyright Dennis Eichhorn |
9 | * @license OMS License 2.0 |
10 | * @version 1.0.0 |
11 | * @link https://jingga.app |
12 | */ |
13 | declare(strict_types=1); |
14 | |
15 | namespace phpOMS\Math\Parser; |
16 | |
17 | /** |
18 | * Basic math function evaluation. |
19 | * |
20 | * @package phpOMS\Math\Parser |
21 | * @license OMS License 2.0 |
22 | * @link https://jingga.app |
23 | * @since 1.0.0 |
24 | */ |
25 | final class Evaluator |
26 | { |
27 | /** |
28 | * Evaluate function. |
29 | * |
30 | * @param string $equation Formula to evaluate |
31 | * |
32 | * @return null|float |
33 | * |
34 | * @since 1.0.0 |
35 | */ |
36 | public static function evaluate(string $equation) : ?float |
37 | { |
38 | if (\substr_count($equation, '(') !== \substr_count($equation, ')') |
39 | || \preg_match('#[^0-9\+\-\*\/\(\)\ \^\.]#', $equation) |
40 | ) { |
41 | return null; |
42 | } |
43 | |
44 | $stack = []; |
45 | $postfix = self::shuntingYard($equation); |
46 | |
47 | foreach ($postfix as $value) { |
48 | if (\is_numeric($value)) { |
49 | $stack[] = $value; |
50 | } else { |
51 | $a = self::parseValue(\array_pop($stack) ?? 0); |
52 | $b = self::parseValue(\array_pop($stack) ?? 0); |
53 | |
54 | if ($value === '+') { |
55 | $stack[] = $a + $b; |
56 | } elseif ($value === '-') { |
57 | $stack[] = $b - $a; |
58 | } elseif ($value === '*') { |
59 | $stack[] = $a * $b; |
60 | } elseif ($value === '/') { |
61 | $stack[] = $b / $a; |
62 | } elseif ($value === '^') { |
63 | $stack[] = $b ** $a; |
64 | } |
65 | } |
66 | } |
67 | |
68 | $result = \array_pop($stack); |
69 | |
70 | return \is_numeric($result) ? (float) $result : null; |
71 | } |
72 | |
73 | /** |
74 | * Parse value. |
75 | * |
76 | * @param int|float|string $value Value to parse |
77 | * |
78 | * @return int|float |
79 | * |
80 | * @since 1.0.0 |
81 | */ |
82 | private static function parseValue(int | float | string $value) : int | float |
83 | { |
84 | return \is_string($value) |
85 | ? (\stripos($value, '.') === false ? (int) $value : (float) $value) |
86 | : $value; |
87 | } |
88 | |
89 | /** |
90 | * Shunting Yard algorithm. |
91 | * |
92 | * @param string $equation Equation to convert |
93 | * |
94 | * @return string[] |
95 | * |
96 | * @since 1.0.0 |
97 | */ |
98 | private static function shuntingYard(string $equation) : array |
99 | { |
100 | $stack = []; |
101 | $operators = [ |
102 | '^' => ['precedence' => 4, 'order' => 1], |
103 | '*' => ['precedence' => 3, 'order' => -1], |
104 | '/' => ['precedence' => 3, 'order' => -1], |
105 | '+' => ['precedence' => 2, 'order' => -1], |
106 | '-' => ['precedence' => 2, 'order' => -1], |
107 | ]; |
108 | $output = []; |
109 | |
110 | $equation = \str_replace(' ', '', $equation); |
111 | $equation = \preg_split('/([\+\-\*\/\^\(\)])/', $equation, -1, \PREG_SPLIT_NO_EMPTY | \PREG_SPLIT_DELIM_CAPTURE); |
112 | |
113 | if ($equation === false) { |
114 | return []; // @codeCoverageIgnore |
115 | } |
116 | |
117 | $equation = \array_filter($equation, function($n) { |
118 | return $n !== ''; |
119 | }); |
120 | |
121 | foreach ($equation as $i => $token) { |
122 | if (\is_numeric($token)) { |
123 | $output[] = $token; |
124 | } elseif (\strpbrk($token, '^*/+-') !== false) { |
125 | $o1 = $token; |
126 | $o2 = \end($stack); |
127 | |
128 | while ($o2 !== false && \strpbrk($o2, '^*/+-') !== false |
129 | && (($operators[$o1]['order'] === -1 && $operators[$o1]['precedence'] <= $operators[$o2]['precedence']) |
130 | /*|| ($operators[$o1]['order'] === 1 && $operators[$o1]['precedence'] < $operators[$o2]['precedence'])*/) |
131 | ) { |
132 | // The commented part above is always FALSE because this equation always compares 4 < 2|3|4. |
133 | // Only uncomment if the opperators array changes. |
134 | $output[] = \array_pop($stack); |
135 | $o2 = \end($stack); |
136 | } |
137 | |
138 | $stack[] = $o1; |
139 | } elseif ($token === '(') { |
140 | $stack[] = $token; |
141 | } elseif ($token === ')') { |
142 | while (\end($stack) !== '(') { |
143 | $output[] = \array_pop($stack); |
144 | } |
145 | |
146 | \array_pop($stack); |
147 | } |
148 | } |
149 | |
150 | while (!empty($stack)) { |
151 | $output[] = \array_pop($stack); |
152 | } |
153 | |
154 | /** @var string[] $output */ |
155 | return $output; |
156 | } |
157 | } |