Litipk /
php-bignumbers
Complex classes like Decimal often do a lot of different things. To break such a class down, we need to identify a cohesive component within that class. A common approach to find such a component is to look for fields/methods that share the same prefixes, or suffixes. You can also have a look at the cohesion graph to spot any un-connected, or weakly-connected components.
Once you have determined the fields that belong together, you can apply the Extract Class refactoring. If the component makes sense as a sub-class, Extract Subclass is also a candidate, and is often faster.
While breaking up the class, it is a good idea to analyze how other classes use Decimal, and based on these observations, apply Extract Interface, too.
| 1 | <?php |
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| 16 | class Decimal |
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| 17 | { |
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| 18 | /** |
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| 19 | * Internal numeric value |
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| 20 | * @var string |
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| 21 | */ |
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| 22 | protected $value; |
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| 23 | |||
| 24 | /** |
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| 25 | * Number of digits behind the point |
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| 26 | * @var integer |
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| 27 | */ |
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| 28 | private $scale; |
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| 29 | |||
| 30 | /** |
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| 31 | * Private constructor |
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| 32 | * @param integer $scale |
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| 33 | * @param string $value |
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| 34 | */ |
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| 35 | 169 | private function __construct($value, $scale) |
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| 36 | { |
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| 37 | 169 | $this->value = $value; |
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| 38 | 169 | $this->scale = $scale; |
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| 39 | 169 | } |
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| 40 | |||
| 41 | /** |
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| 42 | * Private clone method |
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| 43 | */ |
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| 44 | private function __clone() |
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| 48 | |||
| 49 | /** |
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| 50 | * Returns a "Positive Infinite" object |
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| 51 | * @return Decimal |
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| 52 | */ |
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| 53 | 14 | public static function getPositiveInfinite() |
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| 57 | |||
| 58 | /** |
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| 59 | * Returns a "Negative Infinite" object |
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| 60 | * @return Decimal |
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| 61 | */ |
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| 62 | 14 | public static function getNegativeInfinite() |
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| 66 | |||
| 67 | /** |
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| 68 | * Decimal "constructor". |
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| 69 | * |
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| 70 | * @param mixed $value |
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| 71 | * @param integer $scale |
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| 72 | * @param boolean $removeZeros If true then removes trailing zeros from the number representation |
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| 73 | * @return Decimal |
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| 74 | */ |
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| 75 | 5 | public static function create($value, $scale = null, $removeZeros = false) |
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| 76 | { |
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| 77 | 5 | if (is_int($value)) { |
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| 78 | 1 | return self::fromInteger($value); |
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| 79 | 4 | } elseif (is_float($value)) { |
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| 80 | 1 | return self::fromFloat($value, $scale, $removeZeros); |
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| 81 | 3 | } elseif (is_string($value)) { |
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| 82 | 1 | return self::fromString($value, $scale, $removeZeros); |
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| 83 | } elseif ($value instanceof Decimal) { |
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| 84 | 1 | return self::fromDecimal($value, $scale); |
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| 85 | } else { |
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| 86 | 1 | throw new InvalidArgumentTypeException( |
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| 87 | 1 | ['int', 'float', 'string', 'Decimal'], |
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| 88 | 1 | is_object($value) ? get_class($value) : gettype($value), |
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| 89 | 1 | 'Invalid argument type.' |
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| 90 | ); |
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| 91 | } |
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| 92 | } |
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| 93 | |||
| 94 | /** |
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| 95 | * @param integer $intValue |
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| 96 | * @return Decimal |
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| 97 | */ |
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| 98 | 112 | public static function fromInteger($intValue) |
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| 99 | { |
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| 100 | 112 | self::paramsValidation($intValue, null); |
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| 101 | |||
| 102 | 111 | if (!is_int($intValue)) { |
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| 103 | 1 | throw new InvalidArgumentTypeException( |
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| 104 | 1 | ['int'], |
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| 105 | 1 | is_object($intValue) ? get_class($intValue) : gettype($intValue), |
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| 106 | 1 | '$intValue must be of type int' |
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| 107 | ); |
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| 108 | } |
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| 109 | |||
| 110 | 110 | return new static((string)$intValue, 0); |
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| 111 | } |
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| 112 | |||
| 113 | /** |
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| 114 | * @param float $fltValue |
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| 115 | * @param integer $scale |
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| 116 | * @param boolean $removeZeros If true then removes trailing zeros from the number representation |
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| 117 | * @return Decimal |
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| 118 | */ |
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| 119 | 35 | public static function fromFloat($fltValue, $scale = null, $removeZeros = false) |
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| 120 | { |
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| 121 | 35 | self::paramsValidation($fltValue, $scale); |
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| 122 | |||
| 123 | 35 | if (!is_float($fltValue)) { |
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| 124 | 1 | throw new InvalidArgumentTypeException( |
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| 125 | 1 | ['float'], |
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| 126 | 1 | is_object($fltValue) ? |
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| 127 | get_class($fltValue) : |
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| 128 | 1 | gettype($fltValue), |
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| 129 | 1 | '$fltValue must be of type float' |
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| 130 | ); |
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| 131 | 34 | } elseif ($fltValue === INF) { |
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| 132 | 2 | return InfiniteDecimal::getPositiveInfinite(); |
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| 133 | 34 | } elseif ($fltValue === -INF) { |
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| 134 | 2 | return InfiniteDecimal::getNegativeInfinite(); |
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| 135 | 33 | } elseif (is_nan($fltValue)) { |
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| 136 | 1 | throw new \DomainException( |
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| 137 | 1 | "To ensure consistency, this class doesn't handle NaN objects." |
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| 138 | ); |
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| 139 | } |
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| 140 | |||
| 141 | 32 | $defaultScale = 16; |
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| 142 | |||
| 143 | 32 | $strValue = (string) $fltValue; |
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| 144 | 32 | if (preg_match("/^ (?P<int> \d*) (?: \. (?P<dec> \d+) ) E (?P<sign>[\+\-]) (?P<exp>\d+) $/x", $strValue, $capture)) { |
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| 145 | 7 | if ($scale === null) { |
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| 146 | 4 | if ($capture['sign'] == '-') { |
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| 147 | 3 | $scale = $capture['exp'] + strlen($capture['dec']); |
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| 148 | } else { |
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| 149 | 1 | $scale = $defaultScale; |
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| 150 | } |
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| 151 | } |
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| 152 | 7 | $strValue = number_format($fltValue, $scale, '.', ''); |
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| 153 | } |
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| 154 | |||
| 155 | 32 | if ($scale === null) { |
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| 156 | 25 | $scale = $defaultScale; |
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| 157 | } |
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| 158 | |||
| 159 | 32 | if ($removeZeros) { |
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| 160 | 1 | $strValue = self::removeTrailingZeros($strValue, $scale); |
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| 161 | } |
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| 162 | |||
| 163 | 32 | return new static($strValue, $scale); |
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| 164 | } |
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| 165 | |||
| 166 | /** |
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| 167 | * @param string $strValue |
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| 168 | * @param integer $scale |
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| 169 | * @param boolean $removeZeros If true then removes trailing zeros from the number representation |
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| 170 | * @return Decimal |
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| 171 | */ |
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| 172 | 131 | public static function fromString($strValue, $scale = null, $removeZeros = false) |
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| 173 | { |
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| 174 | 131 | self::paramsValidation($strValue, $scale); |
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| 175 | |||
| 176 | 129 | if (!is_string($strValue)) { |
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| 177 | 1 | throw new InvalidArgumentTypeException( |
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| 178 | 1 | ['string'], |
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| 179 | 1 | is_object($strValue) ? get_class($strValue) : gettype($strValue), |
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| 180 | 1 | '$strVlue must be of type string.' |
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| 181 | ); |
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| 182 | 128 | } elseif (preg_match('/^([+\-]?)0*(([1-9][0-9]*|[0-9])(\.[0-9]+)?)$/', $strValue, $captures) === 1) { |
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| 183 | |||
| 184 | // Now it's time to strip leading zeros in order to normalize inner values |
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| 185 | 122 | $value = self::normalizeSign($captures[1]) . $captures[2]; |
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| 186 | 122 | $min_scale = isset($captures[4]) ? max(0, strlen($captures[4]) - 1) : 0; |
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| 187 | |||
| 188 | 9 | } elseif (preg_match('/([+\-]?)0*([0-9](\.[0-9]+)?)[eE]([+\-]?)(\d+)/', $strValue, $captures) === 1) { |
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| 189 | |||
| 190 | 7 | $mantissa_scale = max(strlen($captures[3]) - 1, 0); |
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| 191 | |||
| 192 | 7 | $exp_val = (int)$captures[5]; |
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| 193 | |||
| 194 | 7 | if (self::normalizeSign($captures[4]) === '') { |
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| 195 | 5 | $min_scale = max($mantissa_scale - $exp_val, 0); |
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| 196 | 5 | $tmp_multiplier = bcpow(10, $exp_val); |
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| 197 | } else { |
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| 198 | 2 | $min_scale = $mantissa_scale + $exp_val; |
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| 199 | 2 | $tmp_multiplier = bcpow(10, -$exp_val, $exp_val); |
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| 200 | } |
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| 201 | |||
| 202 | 7 | $value = self::normalizeSign($captures[1]) . bcmul( |
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| 203 | 7 | $captures[2], |
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| 204 | $tmp_multiplier, |
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| 205 | 7 | max($min_scale, $scale !== null ? $scale : 0) |
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| 206 | ); |
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| 207 | |||
| 208 | 2 | } else if (preg_match('/([+\-]?)(inf|Inf|INF)/', $strValue, $captures) === 1) { |
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| 209 | 1 | if ($captures[1] === '-') { |
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| 210 | 1 | return InfiniteDecimal::getNegativeInfinite(); |
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| 211 | } else { |
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| 212 | 1 | return InfiniteDecimal::getPositiveInfinite(); |
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| 213 | } |
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| 214 | } else { |
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| 215 | 1 | throw new \InvalidArgumentException( |
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| 216 | 1 | '$strValue must be a string that represents uniquely a float point number.' |
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| 217 | ); |
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| 218 | } |
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| 219 | |||
| 220 | 126 | $scale = ($scale!==null) ? $scale : $min_scale; |
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| 221 | 126 | if ($scale < $min_scale) { |
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| 222 | 65 | $value = self::innerRound($value, $scale); |
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| 223 | } |
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| 224 | 126 | if ($removeZeros) { |
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| 225 | $value = self::removeTrailingZeros($value, $scale); |
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| 226 | } |
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| 227 | |||
| 228 | 126 | return new static($value, $scale); |
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| 229 | } |
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| 230 | |||
| 231 | /** |
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| 232 | * Constructs a new Decimal object based on a previous one, |
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| 233 | * but changing it's $scale property. |
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| 234 | * |
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| 235 | * @param Decimal $decValue |
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| 236 | * @param integer $scale |
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| 237 | * @return Decimal |
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| 238 | */ |
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| 239 | 3 | public static function fromDecimal(Decimal $decValue, $scale = null) |
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| 240 | { |
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| 241 | 3 | self::paramsValidation($decValue, $scale); |
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| 242 | |||
| 243 | // This block protect us from unnecessary additional instances |
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| 244 | 3 | if ($scale === null || $scale >= $decValue->scale || $decValue->isInfinite()) { |
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| 245 | 3 | return $decValue; |
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| 246 | } |
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| 247 | |||
| 248 | 2 | return new static( |
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| 249 | 2 | self::innerRound($decValue->value, $scale), |
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| 250 | $scale |
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| 251 | ); |
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| 252 | } |
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| 253 | |||
| 254 | /** |
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| 255 | * Adds two Decimal objects |
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| 256 | * @param Decimal $b |
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| 257 | * @param integer $scale |
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| 258 | * @return Decimal |
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| 259 | */ |
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| 260 | 41 | public function add(Decimal $b, $scale = null) |
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| 261 | { |
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| 262 | 41 | self::paramsValidation($b, $scale); |
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| 263 | |||
| 264 | 41 | if ($b->isInfinite()) { |
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| 265 | 1 | return $b; |
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| 266 | } |
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| 267 | |||
| 268 | 40 | return self::fromString( |
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| 269 | 40 | bcadd($this->value, $b->value, max($this->scale, $b->scale)), |
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| 270 | $scale |
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| 271 | ); |
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| 272 | } |
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| 273 | |||
| 274 | /** |
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| 275 | * Subtracts two BigNumber objects |
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| 276 | * @param Decimal $b |
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| 277 | * @param integer $scale |
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| 278 | * @return Decimal |
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| 279 | */ |
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| 280 | 34 | public function sub(Decimal $b, $scale = null) |
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| 281 | { |
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| 282 | 34 | self::paramsValidation($b, $scale); |
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| 283 | |||
| 284 | 34 | if ($b->isInfinite()) { |
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| 285 | 1 | return $b->additiveInverse(); |
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| 286 | } |
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| 287 | |||
| 288 | 33 | return self::fromString( |
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| 289 | 33 | bcsub($this->value, $b->value, max($this->scale, $b->scale)), |
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| 290 | $scale |
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| 291 | ); |
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| 292 | } |
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| 293 | |||
| 294 | /** |
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| 295 | * Multiplies two BigNumber objects |
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| 296 | * @param Decimal $b |
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| 297 | * @param integer $scale |
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| 298 | * @return Decimal |
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| 299 | */ |
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| 300 | 51 | public function mul(Decimal $b, $scale = null) |
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| 301 | { |
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| 302 | 51 | self::paramsValidation($b, $scale); |
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| 303 | |||
| 304 | 50 | if ($b->isInfinite()) { |
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| 305 | 3 | return $b->mul($this); |
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| 306 | 47 | } elseif ($b->isZero()) { |
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| 307 | 1 | return DecimalConstants::Zero(); |
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| 308 | } |
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| 309 | |||
| 310 | 47 | return self::fromString( |
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| 311 | 47 | bcmul($this->value, $b->value, $this->scale + $b->scale), |
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| 312 | $scale |
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| 313 | ); |
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| 314 | } |
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| 315 | |||
| 316 | /** |
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| 317 | * Divides the object by $b . |
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| 318 | * Warning: div with $scale == 0 is not the same as |
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| 319 | * integer division because it rounds the |
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| 320 | * last digit in order to minimize the error. |
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| 321 | * |
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| 322 | * @param Decimal $b |
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| 323 | * @param integer $scale |
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| 324 | * @return Decimal |
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| 325 | */ |
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| 326 | 61 | public function div(Decimal $b, $scale = null) |
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| 327 | { |
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| 328 | 61 | self::paramsValidation($b, $scale); |
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| 329 | |||
| 330 | 61 | if ($b->isZero()) { |
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| 331 | 1 | throw new \DomainException("Division by zero is not allowed."); |
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| 332 | 61 | } elseif ($this->isZero() || $b->isInfinite()) { |
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| 333 | 2 | return DecimalConstants::Zero(); |
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| 334 | } else { |
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| 335 | 59 | if ($scale !== null) { |
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| 336 | 54 | $divscale = $scale; |
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| 337 | } else { |
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| 338 | // $divscale is calculated in order to maintain a reasonable precision |
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| 339 | 19 | $this_abs = $this->abs(); |
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| 340 | 19 | $b_abs = $b->abs(); |
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| 341 | |||
| 342 | $log10_result = |
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| 343 | 19 | self::innerLog10($this_abs->value, $this_abs->scale, 1) - |
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| 344 | 19 | self::innerLog10($b_abs->value, $b_abs->scale, 1); |
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| 345 | |||
| 346 | 19 | $divscale = (int)max( |
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| 347 | 19 | $this->scale + $b->scale, |
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| 348 | 19 | max( |
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| 349 | 19 | self::countSignificativeDigits($this, $this_abs), |
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| 350 | 19 | self::countSignificativeDigits($b, $b_abs) |
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| 351 | 19 | ) - max(ceil($log10_result), 0), |
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| 352 | 19 | ceil(-$log10_result) + 1 |
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| 353 | ); |
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| 354 | } |
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| 355 | |||
| 356 | 59 | return self::fromString( |
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| 357 | 59 | bcdiv($this->value, $b->value, $divscale+1), $divscale |
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| 358 | ); |
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| 359 | } |
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| 360 | } |
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| 361 | |||
| 362 | /** |
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| 363 | * Returns the square root of this object |
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| 364 | * @param integer $scale |
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| 365 | * @return Decimal |
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| 366 | */ |
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| 367 | 4 | public function sqrt($scale = null) |
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| 368 | { |
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| 369 | 4 | if ($this->isNegative()) { |
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| 370 | 1 | throw new \DomainException( |
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| 371 | 1 | "Decimal can't handle square roots of negative numbers (it's only for real numbers)." |
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| 372 | ); |
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| 373 | 3 | } elseif ($this->isZero()) { |
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| 374 | 1 | return DecimalConstants::Zero(); |
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| 375 | } |
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| 376 | |||
| 377 | 3 | $sqrt_scale = ($scale !== null ? $scale : $this->scale); |
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| 378 | |||
| 379 | 3 | return self::fromString( |
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| 380 | 3 | bcsqrt($this->value, $sqrt_scale+1), |
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| 381 | $sqrt_scale |
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| 382 | ); |
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| 383 | } |
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| 384 | |||
| 385 | /** |
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| 386 | * Powers this value to $b |
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| 387 | * |
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| 388 | * @param Decimal $b exponent |
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| 389 | * @param integer $scale |
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| 390 | * @return Decimal |
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| 391 | */ |
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| 392 | 10 | public function pow(Decimal $b, $scale = null) |
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| 393 | { |
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| 394 | 10 | if ($this->isZero()) { |
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| 395 | 2 | if ($b->isPositive()) { |
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| 396 | 1 | return Decimal::fromDecimal($this, $scale); |
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| 397 | } else { |
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| 398 | 1 | throw new \DomainException( |
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| 399 | 1 | "zero can't be powered to zero or negative numbers." |
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| 400 | ); |
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| 401 | } |
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| 402 | 8 | } elseif ($b->isZero()) { |
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| 403 | 1 | return DecimalConstants::One(); |
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| 404 | 7 | } else if ($b->isNegative()) { |
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| 405 | 2 | return DecimalConstants::One()->div( |
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| 406 | 2 | $this->pow($b->additiveInverse()), $scale |
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| 407 | ); |
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| 408 | 7 | } elseif ($b->scale == 0) { |
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| 409 | 4 | $pow_scale = $scale === null ? |
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| 410 | 4 | max($this->scale, $b->scale) : max($this->scale, $b->scale, $scale); |
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| 411 | |||
| 412 | 4 | return self::fromString( |
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| 413 | 4 | bcpow($this->value, $b->value, $pow_scale+1), |
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| 414 | $pow_scale |
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| 415 | ); |
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| 416 | } else { |
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| 417 | 4 | if ($this->isPositive()) { |
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| 418 | 3 | $pow_scale = $scale === null ? |
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| 419 | 3 | max($this->scale, $b->scale) : max($this->scale, $b->scale, $scale); |
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| 420 | |||
| 421 | 3 | $truncated_b = bcadd($b->value, '0', 0); |
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| 422 | 3 | $remaining_b = bcsub($b->value, $truncated_b, $b->scale); |
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| 423 | |||
| 424 | 3 | $first_pow_approx = bcpow($this->value, $truncated_b, $pow_scale+1); |
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| 425 | 3 | $intermediate_root = self::innerPowWithLittleExponent( |
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| 426 | 3 | $this->value, |
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| 427 | $remaining_b, |
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| 428 | 3 | $b->scale, |
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| 429 | 3 | $pow_scale+1 |
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| 430 | ); |
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| 431 | |||
| 432 | 3 | return Decimal::fromString( |
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| 433 | 3 | bcmul($first_pow_approx, $intermediate_root, $pow_scale+1), |
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| 434 | $pow_scale |
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| 435 | ); |
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| 436 | } else { // elseif ($this->isNegative()) |
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| 437 | 1 | if ($b->isInteger()) { |
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| 438 | if (preg_match('/^[+\-]?[0-9]*[02468](\.0+)?$/', $b->value, $captures) === 1) { |
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| 439 | // $b is an even number |
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| 440 | return $this->additiveInverse()->pow($b, $scale); |
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| 441 | } else { |
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| 442 | // $b is an odd number |
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| 443 | return $this->additiveInverse()->pow($b, $scale)->additiveInverse(); |
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| 444 | } |
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| 445 | } |
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| 446 | |||
| 447 | 1 | throw new NotImplementedException( |
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| 448 | "Usually negative numbers can't be powered to non integer numbers. " . |
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| 449 | 1 | "The cases where is possible are not implemented." |
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| 450 | ); |
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| 451 | } |
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| 452 | } |
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| 453 | } |
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| 454 | |||
| 455 | /** |
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| 456 | * Returns the object's logarithm in base 10 |
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| 457 | * @param integer $scale |
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| 458 | * @return Decimal |
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| 459 | */ |
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| 460 | 5 | public function log10($scale = null) |
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| 461 | { |
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| 462 | 5 | if ($this->isNegative()) { |
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| 463 | 1 | throw new \DomainException( |
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| 464 | 1 | "Decimal can't handle logarithms of negative numbers (it's only for real numbers)." |
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| 465 | ); |
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| 466 | 4 | } elseif ($this->isZero()) { |
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| 467 | 1 | return InfiniteDecimal::getNegativeInfinite(); |
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| 468 | } |
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| 469 | |||
| 470 | 3 | return self::fromString( |
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| 471 | 3 | self::innerLog10($this->value, $this->scale, $scale !== null ? $scale+1 : $this->scale+1), |
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| 472 | $scale |
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| 473 | ); |
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| 474 | } |
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| 475 | |||
| 476 | /** |
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| 477 | * @param integer $scale |
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| 478 | * @return boolean |
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| 479 | */ |
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| 480 | 103 | public function isZero($scale = null) |
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| 481 | { |
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| 482 | 103 | $cmp_scale = $scale !== null ? $scale : $this->scale; |
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| 483 | |||
| 484 | 103 | return (bccomp(self::innerRound($this->value, $cmp_scale), '0', $cmp_scale) === 0); |
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| 485 | } |
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| 486 | |||
| 487 | /** |
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| 488 | * @return boolean |
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| 489 | */ |
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| 490 | 35 | public function isPositive() |
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| 494 | |||
| 495 | /** |
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| 496 | * @return boolean |
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| 497 | */ |
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| 498 | 71 | public function isNegative() |
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| 502 | |||
| 503 | /** |
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| 504 | * @return boolean |
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| 505 | */ |
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| 506 | 4 | public function isInteger() |
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| 510 | |||
| 511 | /** |
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| 512 | * @return boolean |
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| 513 | */ |
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| 514 | 129 | public function isInfinite() |
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| 518 | |||
| 519 | /** |
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| 520 | * Equality comparison between this object and $b |
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| 521 | * @param Decimal $b |
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| 522 | * @param integer $scale |
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| 523 | * @return boolean |
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| 524 | */ |
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| 525 | 117 | public function equals(Decimal $b, $scale = null) |
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| 526 | { |
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| 527 | 117 | self::paramsValidation($b, $scale); |
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| 528 | |||
| 529 | 117 | if ($this === $b) { |
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| 530 | 4 | return true; |
|
| 531 | 114 | } elseif ($b->isInfinite()) { |
|
| 532 | return false; |
||
| 533 | } else { |
||
| 534 | 114 | $cmp_scale = $scale !== null ? $scale : max($this->scale, $b->scale); |
|
| 535 | |||
| 536 | return ( |
||
| 537 | 114 | bccomp( |
|
| 538 | 114 | self::innerRound($this->value, $cmp_scale), |
|
| 539 | 114 | self::innerRound($b->value, $cmp_scale), |
|
| 540 | $cmp_scale |
||
| 541 | 114 | ) == 0 |
|
| 542 | ); |
||
| 543 | } |
||
| 544 | } |
||
| 545 | |||
| 546 | /** |
||
| 547 | * $this > $b : returns 1 , $this < $b : returns -1 , $this == $b : returns 0 |
||
| 548 | * |
||
| 549 | * @param Decimal $b |
||
| 550 | * @param integer $scale |
||
| 551 | * @return integer |
||
| 552 | */ |
||
| 553 | 42 | public function comp(Decimal $b, $scale = null) |
|
| 554 | { |
||
| 555 | 42 | self::paramsValidation($b, $scale); |
|
| 556 | |||
| 557 | 42 | if ($this === $b) { |
|
| 558 | 9 | return 0; |
|
| 559 | 41 | } elseif ($b->isInfinite()) { |
|
| 560 | 1 | return -$b->comp($this); |
|
| 561 | } |
||
| 562 | |||
| 563 | 40 | $cmp_scale = $scale !== null ? $scale : max($this->scale, $b->scale); |
|
| 564 | |||
| 565 | 40 | return bccomp( |
|
| 566 | 40 | self::innerRound($this->value, $cmp_scale), |
|
| 567 | 40 | self::innerRound($b->value, $cmp_scale), |
|
| 568 | $cmp_scale |
||
| 569 | ); |
||
| 570 | } |
||
| 571 | |||
| 572 | /** |
||
| 573 | * Returns the element's additive inverse. |
||
| 574 | * @return Decimal |
||
| 575 | */ |
||
| 576 | 15 | public function additiveInverse() |
|
| 577 | { |
||
| 578 | 15 | if ($this->isZero()) { |
|
| 579 | 1 | return $this; |
|
| 580 | 14 | } elseif ($this->isNegative()) { |
|
| 581 | 12 | $value = substr($this->value, 1); |
|
| 582 | } else { // if ($this->isPositive()) { |
||
| 583 | 2 | $value = '-' . $this->value; |
|
| 584 | } |
||
| 585 | |||
| 586 | 14 | return new static($value, $this->scale); |
|
| 587 | } |
||
| 588 | |||
| 589 | |||
| 590 | /** |
||
| 591 | * "Rounds" the Decimal to have at most $scale digits after the point |
||
| 592 | * @param integer $scale |
||
| 593 | * @return Decimal |
||
| 594 | */ |
||
| 595 | 52 | public function round($scale = 0) |
|
| 603 | |||
| 604 | /** |
||
| 605 | * "Ceils" the Decimal to have at most $scale digits after the point |
||
| 606 | * @param integer $scale |
||
| 607 | * @return Decimal |
||
| 608 | */ |
||
| 609 | 4 | public function ceil($scale = 0) |
|
| 621 | |||
| 622 | 28 | private function innerTruncate($scale = 0, $ceil = true) |
|
| 623 | { |
||
| 624 | 28 | $rounded = bcadd($this->value, '0', $scale); |
|
| 625 | |||
| 626 | 28 | $rlen = strlen($rounded); |
|
| 627 | 28 | $tlen = strlen($this->value); |
|
| 628 | |||
| 629 | 28 | $mustTruncate = false; |
|
| 630 | 28 | for ($i=$tlen-1; $i >= $rlen; $i--) { |
|
| 631 | 28 | if ((int)$this->value[$i] > 0) { |
|
| 632 | 28 | $mustTruncate = true; |
|
| 633 | 28 | break; |
|
| 634 | } |
||
| 635 | } |
||
| 636 | |||
| 637 | 28 | if ($mustTruncate) { |
|
| 638 | 28 | $rounded = $ceil ? |
|
| 639 | 2 | bcadd($rounded, bcpow('10', -$scale, $scale), $scale) : |
|
| 640 | 28 | bcsub($rounded, bcpow('10', -$scale, $scale), $scale); |
|
| 641 | } |
||
| 642 | |||
| 643 | 28 | return self::fromString($rounded, $scale); |
|
| 644 | } |
||
| 645 | |||
| 646 | /** |
||
| 647 | * "Floors" the Decimal to have at most $scale digits after the point |
||
| 648 | * @param integer $scale |
||
| 649 | * @return Decimal |
||
| 650 | */ |
||
| 651 | 47 | public function floor($scale = 0) |
|
| 663 | |||
| 664 | /** |
||
| 665 | * Returns the absolute value (always a positive number) |
||
| 666 | * @return Decimal |
||
| 667 | */ |
||
| 668 | 21 | public function abs() |
|
| 676 | |||
| 677 | /** |
||
| 678 | * Calculate modulo with a decimal |
||
| 679 | * @param Decimal $d |
||
| 680 | * @param integer $scale |
||
| 681 | * @return $this % $d |
||
| 682 | */ |
||
| 683 | 27 | public function mod(Decimal $d, $scale = null) |
|
| 688 | |||
| 689 | /** |
||
| 690 | * Calculates the sine of this method with the highest possible accuracy |
||
| 691 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 692 | * |
||
| 693 | * @param integer $scale |
||
| 694 | * @return Decimal sin($this) |
||
| 695 | */ |
||
| 696 | 13 | public function sin($scale = null) |
|
| 697 | { |
||
| 698 | // First normalise the number in the [0, 2PI] domain |
||
| 699 | 13 | $x = $this->mod(DecimalConstants::PI()->mul(Decimal::fromString("2"))); |
|
| 700 | |||
| 701 | // PI has only 32 significant numbers |
||
| 702 | 13 | $scale = ($scale === null) ? 32 : $scale; |
|
| 703 | |||
| 704 | 13 | return self::factorialSerie( |
|
| 705 | $x, |
||
| 706 | 13 | DecimalConstants::zero(), |
|
| 707 | function ($i) { |
||
| 708 | 13 | return ($i % 2 === 1) ? ( |
|
| 709 | 13 | ($i % 4 === 1) ? DecimalConstants::one() : DecimalConstants::negativeOne() |
|
| 710 | 13 | ) : DecimalConstants::zero(); |
|
| 711 | 13 | }, |
|
| 712 | $scale |
||
| 713 | ); |
||
| 714 | } |
||
| 715 | |||
| 716 | /** |
||
| 717 | * Calculates the cosecant of this with the highest possible accuracy |
||
| 718 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 719 | * |
||
| 720 | * @param integer $scale |
||
| 721 | * @return Decimal |
||
| 722 | */ |
||
| 723 | 3 | public function cosec($scale = null) |
|
| 734 | |||
| 735 | /** |
||
| 736 | * Calculates the cosine of this method with the highest possible accuracy |
||
| 737 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 738 | * |
||
| 739 | * @param integer $scale |
||
| 740 | * @return Decimal cos($this) |
||
| 741 | */ |
||
| 742 | 13 | public function cos($scale = null) |
|
| 743 | { |
||
| 744 | // First normalise the number in the [0, 2PI] domain |
||
| 745 | 13 | $x = $this->mod(DecimalConstants::PI()->mul(Decimal::fromString("2"))); |
|
| 746 | |||
| 747 | // PI has only 32 significant numbers |
||
| 748 | 13 | $scale = ($scale === null) ? 32 : $scale; |
|
| 749 | |||
| 750 | 13 | return self::factorialSerie( |
|
| 751 | $x, |
||
| 752 | 13 | DecimalConstants::one(), |
|
| 753 | function ($i) { |
||
| 754 | 13 | return ($i % 2 === 0) ? ( |
|
| 755 | 13 | ($i % 4 === 0) ? DecimalConstants::one() : DecimalConstants::negativeOne() |
|
| 756 | 13 | ) : DecimalConstants::zero(); |
|
| 757 | 13 | }, |
|
| 758 | $scale |
||
| 759 | ); |
||
| 760 | } |
||
| 761 | |||
| 762 | /** |
||
| 763 | * Calculates the secant of this with the highest possible accuracy |
||
| 764 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 765 | * |
||
| 766 | * @param integer $scale |
||
| 767 | * @return Decimal |
||
| 768 | */ |
||
| 769 | 3 | public function sec($scale = null) |
|
| 780 | |||
| 781 | /** |
||
| 782 | * Calculates the arcsine of this with the highest possible accuracy |
||
| 783 | * |
||
| 784 | * @param integer $scale |
||
| 785 | * @return Decimal |
||
| 786 | */ |
||
| 787 | 5 | public function arcsin($scale = null) |
|
| 788 | { |
||
| 789 | 5 | if($this->comp(DecimalConstants::one(), $scale + 2) === 1 || $this->comp(DecimalConstants::negativeOne(), $scale + 2) === -1) { |
|
| 790 | 2 | throw new \DomainException( |
|
| 791 | 2 | "The arcsin of this number is undefined." |
|
| 792 | ); |
||
| 793 | } |
||
| 794 | |||
| 795 | 3 | if ($this->round($scale)->isZero()) { |
|
| 796 | return DecimalConstants::zero; |
||
| 797 | } |
||
| 798 | 3 | if ($this->round($scale)->equals(DecimalConstants::one())) { |
|
| 799 | 1 | return DecimalConstants::pi()->div(Decimal::fromInteger(2))->round($scale); |
|
| 800 | } |
||
| 801 | 2 | if ($this->round($scale)->equals(DecimalConstants::negativeOne())) { |
|
| 802 | 1 | return DecimalConstants::pi()->div(Decimal::fromInteger(-2))->round($scale); |
|
| 803 | } |
||
| 804 | |||
| 805 | 1 | $scale = ($scale === null) ? 32 : $scale; |
|
| 806 | |||
| 807 | 1 | return self::powerSerie( |
|
| 808 | $this, |
||
| 809 | 1 | DecimalConstants::zero(), |
|
| 810 | $scale |
||
| 811 | ); |
||
| 812 | } |
||
| 813 | |||
| 814 | /** |
||
| 815 | * Calculates the arccosine of this with the highest possible accuracy |
||
| 816 | * |
||
| 817 | * @param integer $scale |
||
| 818 | * @return Decimal |
||
| 819 | */ |
||
| 820 | 5 | public function arccos($scale = null) |
|
| 821 | { |
||
| 822 | 5 | if($this->comp(DecimalConstants::one(), $scale + 2) === 1 || $this->comp(DecimalConstants::negativeOne(), $scale + 2) === -1) { |
|
| 823 | 2 | throw new \DomainException( |
|
| 824 | 2 | "The arccos of this number is undefined." |
|
| 825 | ); |
||
| 826 | } |
||
| 827 | |||
| 828 | 3 | $piOverTwo = DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2)->round($scale); |
|
| 829 | |||
| 830 | 3 | if ($this->round($scale)->isZero()) { |
|
| 831 | return $piOverTwo; |
||
| 832 | } |
||
| 833 | 3 | if ($this->round($scale)->equals(DecimalConstants::one())) { |
|
| 834 | 1 | return DecimalConstants::zero(); |
|
| 835 | } |
||
| 836 | 2 | if ($this->round($scale)->equals(DecimalConstants::negativeOne())) { |
|
| 837 | 1 | return DecimalConstants::pi()->round($scale); |
|
| 838 | } |
||
| 839 | |||
| 840 | 1 | $scale = ($scale === null) ? 32 : $scale; |
|
| 841 | |||
| 842 | 1 | return $piOverTwo->sub( |
|
| 843 | 1 | self::powerSerie( |
|
| 844 | $this, |
||
| 845 | 1 | DecimalConstants::zero(), |
|
| 846 | $scale |
||
| 847 | ) |
||
| 848 | 1 | )->round($scale); |
|
| 849 | } |
||
| 850 | |||
| 851 | /** |
||
| 852 | * Calculates the arctangente of this with the highest possible accuracy |
||
| 853 | * |
||
| 854 | * @param integer $scale |
||
| 855 | * @return Decimal |
||
| 856 | */ |
||
| 857 | 3 | public function arctan($scale = null) |
|
| 879 | |||
| 880 | /** |
||
| 881 | * Calculates the arccotangente of this with the highest possible accuracy |
||
| 882 | * |
||
| 883 | * @param integer $scale |
||
| 884 | * @return Decimal |
||
| 885 | */ |
||
| 886 | 3 | public function arccot($scale = null) { |
|
| 887 | 3 | $scale = ($scale === null) ? 32 : $scale; |
|
| 888 | |||
| 889 | 3 | $piOverTwo = DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2); |
|
| 890 | 3 | if ($this->round($scale)->isZero()) { |
|
| 891 | 1 | return $piOverTwo->round($scale); |
|
| 892 | } |
||
| 893 | |||
| 894 | 2 | $piOverFour = DecimalConstants::pi()->div(Decimal::fromInteger(4), $scale + 2); |
|
| 895 | 2 | if ($this->round($scale)->equals(DecimalConstants::one())) { |
|
| 896 | return $piOverFour->round($scale); |
||
| 897 | } |
||
| 898 | 2 | if ($this->round($scale)->equals(DecimalConstants::negativeOne())) { |
|
| 899 | 1 | return DecimalConstants::negativeOne()->mul($piOverFour, $scale + 2)->round($scale); |
|
| 900 | } |
||
| 901 | |||
| 902 | 1 | return $piOverTwo->sub( |
|
| 903 | 1 | self::simplePowerSerie( |
|
| 904 | $this, |
||
| 905 | 1 | DecimalConstants::zero(), |
|
| 906 | 1 | $scale + 2 |
|
| 907 | ) |
||
| 908 | 1 | )->round($scale); |
|
| 909 | } |
||
| 910 | |||
| 911 | /** |
||
| 912 | * Calculates the arcsecant of this with the highest possible accuracy |
||
| 913 | * |
||
| 914 | * @param integer $scale |
||
| 915 | * @return Decimal |
||
| 916 | */ |
||
| 917 | 5 | public function arcsec($scale = null) { |
|
| 918 | 5 | if($this->comp(DecimalConstants::one(), $scale + 2) === -1 && $this->comp(DecimalConstants::negativeOne(), $scale + 2) === 1) { |
|
| 919 | 1 | throw new \DomainException( |
|
| 920 | 1 | "The arcsecant of this number is undefined." |
|
| 921 | ); |
||
| 922 | } |
||
| 923 | |||
| 924 | 4 | $piOverTwo = DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2)->round($scale); |
|
| 925 | |||
| 926 | 4 | if ($this->round($scale)->equals(DecimalConstants::one())) { |
|
| 927 | 1 | return DecimalConstants::zero(); |
|
| 928 | } |
||
| 929 | 3 | if ($this->round($scale)->equals(DecimalConstants::negativeOne())) { |
|
| 930 | 1 | return DecimalConstants::pi()->round($scale); |
|
| 931 | } |
||
| 932 | |||
| 933 | 2 | $scale = ($scale === null) ? 32 : $scale; |
|
| 934 | |||
| 935 | 2 | return $piOverTwo->sub( |
|
| 936 | 2 | self::powerSerie( |
|
| 937 | 2 | DecimalConstants::one()->div($this, $scale + 2), |
|
| 938 | 2 | DecimalConstants::zero(), |
|
| 939 | 2 | $scale + 2 |
|
| 940 | ) |
||
| 941 | 2 | )->round($scale); |
|
| 942 | } |
||
| 943 | |||
| 944 | /** |
||
| 945 | * Calculates the arccosecant of this with the highest possible accuracy |
||
| 946 | * |
||
| 947 | * @param integer $scale |
||
| 948 | * @return Decimal |
||
| 949 | */ |
||
| 950 | 5 | public function arccsc($scale = null) { |
|
| 951 | 5 | if($this->comp(DecimalConstants::one(), $scale + 2) === -1 && $this->comp(DecimalConstants::negativeOne(), $scale + 2) === 1) { |
|
| 952 | 1 | throw new \DomainException( |
|
| 953 | 1 | "The arccosecant of this number is undefined." |
|
| 954 | ); |
||
| 955 | } |
||
| 956 | |||
| 957 | 4 | $scale = ($scale === null) ? 32 : $scale; |
|
| 958 | |||
| 959 | 4 | if ($this->round($scale)->equals(DecimalConstants::one())) { |
|
| 960 | 1 | return DecimalConstants::pi()->div(Decimal::fromInteger(2), $scale + 2)->round($scale); |
|
| 961 | } |
||
| 962 | 3 | if ($this->round($scale)->equals(DecimalConstants::negativeOne())) { |
|
| 963 | 1 | return DecimalConstants::pi()->div(Decimal::fromInteger(-2), $scale + 2)->round($scale); |
|
| 964 | } |
||
| 965 | |||
| 966 | 2 | return self::powerSerie( |
|
| 967 | 2 | DecimalConstants::one()->div($this, $scale + 2), |
|
| 968 | 2 | DecimalConstants::zero(), |
|
| 969 | 2 | $scale + 2 |
|
| 970 | 2 | )->round($scale); |
|
| 971 | } |
||
| 972 | |||
| 973 | /** |
||
| 974 | * Returns exp($this), said in other words: e^$this . |
||
| 975 | * |
||
| 976 | * @param integer $scale |
||
| 977 | * @return Decimal |
||
| 978 | */ |
||
| 979 | 11 | public function exp($scale = null) |
|
| 980 | { |
||
| 981 | 11 | if ($this->isZero()) { |
|
| 982 | 3 | return DecimalConstants::one(); |
|
| 983 | } |
||
| 984 | |||
| 985 | 8 | $scale = ($scale === null) ? max( |
|
| 986 | $this->scale, |
||
| 987 | (int)($this->isNegative() ? self::innerLog10($this->value, $this->scale, 0) : 16) |
||
| 988 | 8 | ) : $scale; |
|
| 989 | |||
| 990 | 8 | return self::factorialSerie( |
|
| 991 | $this, DecimalConstants::one(), function ($i) { return DecimalConstants::one(); }, $scale |
||
|
|
|||
| 992 | ); |
||
| 993 | } |
||
| 994 | |||
| 995 | /** |
||
| 996 | * Internal method used to compute sin, cos and exp |
||
| 997 | * |
||
| 998 | * @param Decimal $x |
||
| 999 | * @param Decimal $firstTerm |
||
| 1000 | * @param callable $generalTerm |
||
| 1001 | * @param $scale |
||
| 1002 | * @return Decimal |
||
| 1003 | */ |
||
| 1004 | 28 | private static function factorialSerie (Decimal $x, Decimal $firstTerm, callable $generalTerm, $scale) |
|
| 1027 | |||
| 1028 | |||
| 1029 | /** |
||
| 1030 | * Internal method used to compute arcsine and arcosine |
||
| 1031 | * |
||
| 1032 | * @param Decimal $x |
||
| 1033 | * @param Decimal $firstTerm |
||
| 1034 | * @param $scale |
||
| 1035 | * @return Decimal |
||
| 1036 | */ |
||
| 1037 | 6 | private static function powerSerie (Decimal $x, Decimal $firstTerm, $scale) |
|
| 1038 | { |
||
| 1039 | 6 | $approx = $firstTerm; |
|
| 1040 | 6 | $change = InfiniteDecimal::getPositiveInfinite(); |
|
| 1041 | |||
| 1042 | 6 | $xPowerN = DecimalConstants::One(); // Calculates x^n |
|
| 1043 | 6 | $factorN = DecimalConstants::One(); // Calculates a_n |
|
| 1044 | |||
| 1045 | 6 | $numerator = DecimalConstants::one(); |
|
| 1046 | 6 | $denominator = DecimalConstants::one(); |
|
| 1047 | |||
| 1048 | 6 | for ($i = 1; !$change->floor($scale + 2)->isZero(); $i++) { |
|
| 1049 | 6 | $xPowerN = $xPowerN->mul($x); |
|
| 1050 | |||
| 1077 | |||
| 1078 | /** |
||
| 1079 | * Internal method used to compute arctan and arccotan |
||
| 1080 | * |
||
| 1081 | * @param Decimal $x |
||
| 1082 | * @param Decimal $firstTerm |
||
| 1083 | * @param $scale |
||
| 1084 | * @return Decimal |
||
| 1085 | */ |
||
| 1086 | 2 | private static function simplePowerSerie (Decimal $x, Decimal $firstTerm, $scale) |
|
| 1115 | |||
| 1116 | /** |
||
| 1117 | * Calculates the tangent of this method with the highest possible accuracy |
||
| 1118 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 1119 | * |
||
| 1120 | * @param integer $scale |
||
| 1121 | * @return Decimal tan($this) |
||
| 1122 | */ |
||
| 1123 | 4 | public function tan($scale = null) { |
|
| 1133 | |||
| 1134 | /** |
||
| 1135 | * Calculates the cotangent of this method with the highest possible accuracy |
||
| 1136 | * Note that accuracy is limited by the accuracy of predefined PI; |
||
| 1137 | * |
||
| 1138 | * @param integer $scale |
||
| 1139 | * @return Decimal cotan($this) |
||
| 1140 | */ |
||
| 1141 | 4 | public function cotan($scale = null) |
|
| 1152 | |||
| 1153 | /** |
||
| 1154 | * Indicates if the passed parameter has the same sign as the method's bound object. |
||
| 1155 | * |
||
| 1156 | * @param Decimal $b |
||
| 1157 | * @return bool |
||
| 1158 | */ |
||
| 1159 | 3 | public function hasSameSign(Decimal $b) |
|
| 1163 | |||
| 1164 | /** |
||
| 1165 | * Return value as a float |
||
| 1166 | * |
||
| 1167 | * @return float |
||
| 1168 | */ |
||
| 1169 | 1 | public function asFloat() |
|
| 1173 | |||
| 1174 | /** |
||
| 1175 | * Return value as a integer |
||
| 1176 | * |
||
| 1177 | * @return float |
||
| 1178 | */ |
||
| 1179 | 1 | public function asInteger() |
|
| 1183 | |||
| 1184 | /** |
||
| 1185 | * Return the inner representation of the class |
||
| 1186 | * use with caution |
||
| 1187 | * |
||
| 1188 | * @return number |
||
| 1189 | */ |
||
| 1190 | 13 | public function innerValue() |
|
| 1194 | |||
| 1195 | /** |
||
| 1196 | * @return string |
||
| 1197 | */ |
||
| 1198 | 58 | public function __toString() |
|
| 1202 | |||
| 1203 | /** |
||
| 1204 | * "Rounds" the decimal string to have at most $scale digits after the point |
||
| 1205 | * |
||
| 1206 | * @param string $value |
||
| 1207 | * @param integer $scale |
||
| 1208 | * @return string |
||
| 1209 | */ |
||
| 1210 | 145 | private static function innerRound($value, $scale = 0) |
|
| 1227 | |||
| 1228 | /** |
||
| 1229 | * Calculates the logarithm (in base 10) of $value |
||
| 1230 | * |
||
| 1231 | * @param string $value The number we want to calculate its logarithm (only positive numbers) |
||
| 1232 | * @param integer $in_scale Expected scale used by $value (only positive numbers) |
||
| 1233 | * @param integer $out_scale Scale used by the return value (only positive numbers) |
||
| 1234 | * @return string |
||
| 1235 | */ |
||
| 1236 | 22 | private static function innerLog10($value, $in_scale, $out_scale) |
|
| 1272 | |||
| 1273 | /** |
||
| 1274 | * Returns $base^$exponent |
||
| 1275 | * |
||
| 1276 | * @param string $base |
||
| 1277 | * @param string $exponent 0 < $exponent < 1 |
||
| 1278 | * @param integer $exp_scale Number of $exponent's significative digits |
||
| 1279 | * @param integer $out_scale Number of significative digits that we want to compute |
||
| 1280 | * @return string |
||
| 1281 | */ |
||
| 1282 | 3 | private static function innerPowWithLittleExponent($base, $exponent, $exp_scale, $out_scale) |
|
| 1305 | |||
| 1306 | /** |
||
| 1307 | * Auxiliar method. It helps us to decompose the exponent into many summands. |
||
| 1308 | * |
||
| 1309 | * @param string $exponent_remaining |
||
| 1310 | * @param integer $actual_index |
||
| 1311 | * @param integer $exp_scale Number of $exponent's significative digits |
||
| 1312 | * @param integer $inner_scale ceil($exp_scale*log(10)/log(2))+1; |
||
| 1313 | * @return string |
||
| 1314 | */ |
||
| 1315 | 3 | private static function computeSquareIndex($exponent_remaining, $actual_index, $exp_scale, $inner_scale) |
|
| 1328 | |||
| 1329 | /** |
||
| 1330 | * Auxiliar method. Computes $base^((1/2)^$index) |
||
| 1331 | * |
||
| 1332 | * @param string $base |
||
| 1333 | * @param integer $index |
||
| 1334 | * @param integer $out_scale |
||
| 1335 | * @return string |
||
| 1336 | */ |
||
| 1337 | 3 | private static function compute2NRoot($base, $index, $out_scale) |
|
| 1347 | |||
| 1348 | /** |
||
| 1349 | * Validates basic constructor's arguments |
||
| 1350 | * @param mixed $value |
||
| 1351 | * @param integer $scale |
||
| 1352 | */ |
||
| 1353 | 183 | protected static function paramsValidation($value, $scale) |
|
| 1363 | |||
| 1364 | /** |
||
| 1365 | * @return string |
||
| 1366 | */ |
||
| 1367 | 126 | private static function normalizeSign($sign) |
|
| 1375 | |||
| 1376 | 1 | private static function removeTrailingZeros($strValue, &$scale) |
|
| 1388 | |||
| 1389 | /** |
||
| 1390 | * Counts the number of significative digits of $val. |
||
| 1391 | * Assumes a consistent internal state (without zeros at the end or the start). |
||
| 1392 | * |
||
| 1393 | * @param Decimal $val |
||
| 1394 | * @param Decimal $abs $val->abs() |
||
| 1395 | * @return integer |
||
| 1396 | */ |
||
| 1397 | 19 | private static function countSignificativeDigits(Decimal $val, Decimal $abs) |
|
| 1403 | } |
||
| 1404 |
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This check looks from parameters that have been defined for a function or method, but which are not used in the method body.