BC::bin2dec() - Code Metrics - Inspection of "added bitwise xor, or and "and"" - krowinski/bcmath-extended - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Pull Request — master (#28)

by kacper

created 2018-12-11 10:57 UTC

BC::bin2dec() A

↳ Parent: BC

Complexity

Conditions	2
Paths	1

Size

Total Lines	13
Code Lines	9

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	10
CRAP Score	2

Importance

Changes

Metric	Value
cc	2
eloc	9
nc	1
nop	2
dl	0
loc	13
ccs	10
cts	10
cp	1
crap	2
rs	9.9666
c	0
b	0
f	0

<?php

namespace BCMathExtended;

/**
 * Class BC
 * @package BCMathExtended
 */
class BC
{
    const COMPARE_EQUAL = 0;
    const COMPARE_LEFT_GRATER = 1;
    const COMPARE_RIGHT_GRATER = -1;

    const DEFAULT_SCALE = 100;

    const MAX_BASE = 256;

    const BIT_OPERATOR_AND = 'and';
    const BIT_OPERATOR_OR = 'or';
    const BIT_OPERATOR_XOR = 'xor';

    /**
     * @param int|string $number
     * @param int $precision
     * @return string
     */
    public static function round($number, $precision = 0)
    {
        $number = self::convertScientificNotationToString($number);
        if (self::checkIsFloat($number)) {
            if (self::isNegative($number)) {
                return self::sub($number, '0.' . str_repeat('0', $precision) . '5', $precision);
            }

            return self::add($number, '0.' . str_repeat('0', $precision) . '5', $precision);
        }

        return self::checkNumber($number);
    }

    /**
     * @param int|string|float $number
     * @return string
     */
    public static function convertScientificNotationToString($number)
    {
        // check if number is in scientific notation, first use stripos as is faster then preg_match
        if (false !== stripos($number, 'E') && preg_match('/(-?(\d+\.)?\d+)E([+-]?)(\d+)/i', $number, $regs)) {
            // calculate final scale of number
            $scale = $regs[4] + self::getDecimalsLengthFromNumber($regs[1]);
            $pow = self::pow(10, $regs[4], $scale);
            if ('-' === $regs[3]) {
                $number = self::div($regs[1], $pow, $scale);
            } else {
                $number = self::mul($pow, $regs[1], $scale);
            }
            // remove unnecessary 0 from 0.000 is a 0
            $number = rtrim($number, '0');
            // if you remove 0 you must clean dot
            $number = rtrim($number, '.');
        }

        return self::checkNumber($number);
    }

    /**
     * @param int|string|float $number
     * @return int
     */
    public static function getDecimalsLengthFromNumber($number)
    {
        $check = explode('.', $number);
        if (!empty($check[1])) {
            return strlen($check[1]);
        }

        return 0;
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    public static function pow($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (self::checkIsFloat($rightOperand)) {
            if (null === $scale) {
                return self::powFractional($leftOperand, $rightOperand);
            }

            return self::powFractional($leftOperand, $rightOperand, $scale);
        }

        if (null === $scale) {
            return bcpow($leftOperand, $rightOperand);
        }

        return bcpow($leftOperand, $rightOperand, $scale);
    }

    /**
     * @param int|string $number
     * @return bool
     */
    private static function checkIsFloat($number)
    {
        return false !== strpos($number, '.');
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    private static function powFractional($leftOperand, $rightOperand, $scale = null)
    {
        // we need to increased scale to get correct results and avoid rounding error
        $increasedScale = null === $scale ? self::getScale() : $scale;
        $increasedScale *= 2;
        $decimals = explode('.', $rightOperand);

        return self::checkNumber(
            self::mul(
                self::exp(
                    self::mul(
                        self::log($leftOperand),
                        '0.' . $decimals[1],
                        $increasedScale
                    )
                ),
                self::pow($leftOperand, $decimals[0], $increasedScale),
                $scale
            )
        );
    }

    /**
     * @return int
     */
    public static function getScale()
    {
        $sqrt = self::sqrt('2');

        return strlen(substr($sqrt, strpos($sqrt, '.') + 1));
    }

    /**
     * @param string $operand
     * @param null|int $scale
     * @return string
     */
    public static function sqrt($operand, $scale = null)
    {
        $operand = self::convertScientificNotationToString($operand);

        if (null === $scale) {
            return bcsqrt($operand);
        }

        return bcsqrt($operand, $scale);
    }

    /**
     * @param int|string $number
     * @return int|string
     */
    private static function checkNumber($number)
    {
        $number = str_replace('+', '', filter_var($number, FILTER_SANITIZE_NUMBER_FLOAT, FILTER_FLAG_ALLOW_FRACTION));
        if ('-0' === $number || !is_numeric($number)) {
            return '0';
        }

        return $number;
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    public static function mul($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (null === $scale) {
            return bcmul($leftOperand, $rightOperand);
        }

        return bcmul($leftOperand, $rightOperand, $scale);
    }

    /**
     * @param string $arg
     * @return string
     */
    public static function exp($arg)
    {
        $scale = self::DEFAULT_SCALE;
        $result = '1';
        for ($i = 299; $i > 0; $i--) {
            $result = self::add(self::mul(self::div($result, $i, $scale), $arg, $scale), 1, $scale);
        }

        return $result;
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    public static function add($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (null === $scale) {
            return bcadd($leftOperand, $rightOperand);
        }

        return bcadd($leftOperand, $rightOperand, $scale);
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    public static function div($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (null === $scale) {
            return bcdiv($leftOperand, $rightOperand);
        }

        return bcdiv($leftOperand, $rightOperand, $scale);
    }

    /**
     * @param string $arg
     * @return string
     */
    public static function log($arg)
    {
        $arg = self::convertScientificNotationToString($arg);
        if ($arg === '0') {
            return '-INF';
        }
        if (self::COMPARE_RIGHT_GRATER === self::comp($arg, '0')) {
            return 'NAN';
        }
        $scale = self::DEFAULT_SCALE;
        $m = (string)log((float)$arg);
        $x = self::sub(self::div($arg, self::exp($m), $scale), '1', $scale);
        $res = '0';
        $pow = '1';
        $i = 1;
        do {
            $pow = self::mul($pow, $x, $scale);
            $sum = self::div($pow, $i, $scale);
            if ($i % 2 === 1) {
                $res = self::add($res, $sum, $scale);
            } else {
                $res = self::sub($res, $sum, $scale);
            }
            $i++;
        } while (self::comp($sum, '0', $scale));

        return self::add($res, $m, $scale);
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return int
     */
    public static function comp($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (null === $scale) {
            return bccomp($leftOperand, $rightOperand, max(strlen($leftOperand), strlen($rightOperand)));
        }

        return bccomp(
            $leftOperand,
            $rightOperand,
            $scale
        );
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param null|int $scale
     * @return string
     */
    public static function sub($leftOperand, $rightOperand, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (null === $scale) {
            return bcsub($leftOperand, $rightOperand);
        }

        return bcsub($leftOperand, $rightOperand, $scale);
    }

    /**
     * @param $number
     * @return bool
     */
    private static function isNegative($number)
    {
        return 0 === strncmp('-', $number, 1);
    }

    /**
     * @param int|string $min
     * @param int|string $max
     * @return string
     */
    public static function rand($min, $max)
    {
        $max = self::convertScientificNotationToString($max);
        $min = self::convertScientificNotationToString($min);

        $difference = self::add(self::sub($max, $min), 1);
        $randPercent = self::div(mt_rand(), mt_getrandmax(), 8);

        return self::add($min, self::mul($difference, $randPercent, 8), 0);
    }

    /**
     * @param array|int|string,...
     * @return null|string
     */
    public static function max()
    {
        $max = null;
        $args = func_get_args();
        if (is_array($args[0])) {
            $args = $args[0];
        }
        foreach ($args as $number) {
            $number = self::convertScientificNotationToString($number);
            if (null === $max) {
                $max = $number;
            } elseif (self::comp((string)$max, $number) === self::COMPARE_RIGHT_GRATER) {
                $max = $number;
            }
        }

        return $max;
    }

    /**
     * @param array|int|string,...
     * @return null|string
     */
    public static function min()
    {
        $min = null;
        $args = func_get_args();
        if (is_array($args[0])) {
            $args = $args[0];
        }
        foreach ($args as $number) {
            $number = self::convertScientificNotationToString($number);
            if (null === $min) {
                $min = $number;
            } elseif (self::comp((string)$min, $number) === self::COMPARE_LEFT_GRATER) {
                $min = $number;
            }
        }

        return $min;
    }

    /**
     * @param int|string $number
     * @param int $precision
     * @return string
     */
    public static function roundDown($number, $precision = 0)
    {
        $number = self::convertScientificNotationToString($number);
        $multiply = self::pow(10, (string)abs($precision));

        return $precision < 0
            ?
            self::mul(
                self::floor(self::div($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
                $precision
            )
            :
            self::div(
                self::floor(self::mul($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
                $precision
            );
    }

    /**
     * @param int|string $number
     * @return string
     */
    public static function floor($number)
    {
        $number = self::convertScientificNotationToString($number);
        if (self::checkIsFloat($number) && self::checkIsFloatCleanZeros($number)) {
            $result = 0;
            if (self::isNegative($number)) {
                --$result;
            }
            $number = self::add($number, $result, 0);
        }

        return self::checkNumber($number);
    }

    /**
     * @param int|string $number
     * @return bool
     */
    private static function checkIsFloatCleanZeros(&$number)
    {
        return false !== strpos($number = rtrim(rtrim($number, '0'), '.'), '.');
    }

    /**
     * @param int|string $number
     * @param int $precision
     * @return string
     */
    public static function roundUp($number, $precision = 0)
    {
        $number = self::convertScientificNotationToString($number);
        $multiply = self::pow(10, (string)abs($precision));

        return $precision < 0
            ?
            self::mul(
                self::ceil(self::div($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
                $precision
            )
            :
            self::div(
                self::ceil(self::mul($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
                $precision
            );
    }

    /**
     * @param int|string $number
     * @return string
     */
    public static function ceil($number)
    {
        $number = self::convertScientificNotationToString($number);
        if (self::checkIsFloat($number) && self::checkIsFloatCleanZeros($number)) {
            $result = 1;
            if (self::isNegative($number)) {
                --$result;
            }
            $number = self::add($number, $result, 0);
        }

        return self::checkNumber($number);
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param string $modulus
     * @param null|int $scale
     * @return string
     */
    public static function powMod($leftOperand, $rightOperand, $modulus, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        // bcpowmod in 5.6 have don't calculate correct results if scale is empty
        if (null === $scale) {
            return self::mod(self::pow($leftOperand, $rightOperand), $modulus);
        }

        // cant use bcpowmod here as it don't support floats
        if (self::checkIsFloat($leftOperand) || self::checkIsFloat($rightOperand) || self::checkIsFloat($modulus)) {
            return self::mod(self::pow($leftOperand, $rightOperand, $scale), $modulus, $scale);
        }

        return bcpowmod($leftOperand, $rightOperand, $modulus, $scale);
    }

    /**
     * @param string $leftOperand
     * @param string $modulus
     * @param null|int $scale
     * @return string
     */
    public static function mod($leftOperand, $modulus, $scale = null)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);

        // bcmod in 7.2 is not working properly - for example bcmod(9.9999E-10, -0.00056, 9) should return '-0.000559999' but returns 0.0000000

        // bcmod in php 5.6< don't support scale and floats
        // let use this $x - floor($x/$y) * $y;
        if (null === $scale) {
            return self::sub($leftOperand, self::mul(self::floor(self::div($leftOperand, $modulus)), $modulus));
        }

        return self::sub(
            $leftOperand, self::mul(self::floor(self::div($leftOperand, $modulus, $scale)), $modulus, $scale), $scale
        );
    }

    /**
     * @param string $arg
     * @return string
     * @throws \InvalidArgumentException
     */
    public static function fact($arg)
    {
        $arg = self::convertScientificNotationToString($arg);

        if (self::checkIsFloat($arg)) {
            throw new \InvalidArgumentException('Number has to be an integer');
        }
        if (self::isNegative($arg)) {
            throw new \InvalidArgumentException('Number has to be greater than or equal to 0');
        }

        $return = '1';
        for ($i = 2; $i <= $arg; ++$i) {
            $return = self::mul($return, $i);
        }

        return $return;
    }

    /**
     * @param string $hex
     * @return string
     */
    public static function hexdec($hex)
    {
        $remainingDigits = substr($hex, 0, -1);
        $lastDigitToDecimal = \hexdec(substr($hex, -1));

        if ('' === $remainingDigits) {
            return $lastDigitToDecimal;
        }

        return self::add(self::mul(16, self::hexdec($remainingDigits)), $lastDigitToDecimal, 0);
    }

    /**
     * @param string $decimal
     * @return string
     */
    public static function dechex($decimal)
    {
        $quotient = self::div($decimal, 16, 0);
        $remainderToHex = \dechex((int)self::mod($decimal, 16));

        if (self::comp($quotient, 0) === 0) {
            return $remainderToHex;
        }

        return self::dechex($quotient) . $remainderToHex;
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @return string
     */
    public static function bitAnd($leftOperand, $rightOperand)
    {
        return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_AND);
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @param string $operator
     * @return string
     */
    private static function bitOperatorHelper($leftOperand, $rightOperand, $operator)
    {
        $leftOperand = self::convertScientificNotationToString($leftOperand);
        $rightOperand = self::convertScientificNotationToString($rightOperand);

        if (self::checkIsFloat($leftOperand)) {
            throw new \InvalidArgumentException('Left operator has to be an integer');
        }
        if (self::checkIsFloat($rightOperand)) {
            throw new \InvalidArgumentException('Right operator has to be an integer');
        }

        $leftOperandNegative = self::isNegative($leftOperand);
        $rightOperandNegative = self::isNegative($rightOperand);

        $leftOperand = self::dec2bin(self::abs($leftOperand));
        $rightOperand = self::dec2bin(self::abs($rightOperand));

        $maxLength = max(strlen($leftOperand), strlen($rightOperand));

        $leftOperand = self::alignBinLength($leftOperand, $maxLength);
        $rightOperand = self::alignBinLength($rightOperand, $maxLength);

        if ($leftOperandNegative) {
            $leftOperand = self::recalculateNegative($leftOperand);
        }
        if ($rightOperandNegative) {
            $rightOperand = self::recalculateNegative($rightOperand);
        }

        $isNegative = false;
        $result = '';
        if (self::BIT_OPERATOR_AND === $operator) {
            $result = $leftOperand & $rightOperand;
            $isNegative = ($leftOperandNegative and $rightOperandNegative);
        } elseif (self::BIT_OPERATOR_OR === $operator) {
            $result = $leftOperand | $rightOperand;
            $isNegative = ($leftOperandNegative or $rightOperandNegative);
        } elseif (self::BIT_OPERATOR_XOR === $operator) {
            $result = $leftOperand ^ $rightOperand;
            $isNegative = ($leftOperandNegative xor $rightOperandNegative);
        }

        if ($isNegative) {
            $result = self::recalculateNegative($result);
        }

        $result = self::bin2dec($result);

        return $isNegative ? '-' . $result : $result;
    }

    /**
     * @param string $number
     * @param int $base
     * @return string
     */
    public static function dec2bin($number, $base = self::MAX_BASE)
    {
        return self::decBaseHelper(
            $base, function ($base) use ($number) {
            $value = '';
            if ('0' === $number) {
                return chr((int)$number);
            }

            while (BC::comp($number, '0') !== BC::COMPARE_EQUAL) {
                $rest = BC::mod($number, $base);
                $number = BC::div($number, $base);
                $value = chr((int)$rest) . $value;
            }

            return $value;
        }
        );
    }

    /**
     * @param int $base
     * @param \Closure $closure
     * @return string
     */
    private static function decBaseHelper($base, \Closure $closure)
    {
        if ($base < 2 || $base > self::MAX_BASE) {
            throw new \InvalidArgumentException('Invalid Base: ' . $base);
        }
        $orgScale = self::getScale();
        self::setScale(0);

        $value = $closure($base);

        self::setScale($orgScale);

        return $value;
    }

    /**
     * @param null|int $scale
     */
    public static function setScale($scale)
    {
        bcscale($scale);
    }

    /**
     * @param int|string $number
     * @return string
     */
    public static function abs($number)
    {
        $number = self::convertScientificNotationToString($number);

        if (self::isNegative($number)) {
            $number = (string)substr($number, 1);
        }

        return self::checkNumber($number);
    }

    /**
     * @param string $string
     * @param int $length
     * @return string
     */
    private static function alignBinLength($string, $length)
    {
        return str_pad($string, $length, self::dec2bin('0'), STR_PAD_LEFT);
    }

    /**
     * @param string $number
     * @return string
     */
    private static function recalculateNegative($number)
    {
        $xor = str_repeat(self::dec2bin(self::MAX_BASE - 1), strlen($number));
        $number ^= $xor;
        for ($i = strlen($number) - 1; $i >= 0; $i--) {
            $byte = ord($number[$i]);
            if (++$byte !== self::MAX_BASE) {
                $number[$i] = chr($byte);
                break;
            }
        }

        return $number;
    }

    /**
     * @param string $binary
     * @param int $base
     * @return string
     */
    public static function bin2dec($binary, $base = self::MAX_BASE)
    {
        return self::decBaseHelper(
            $base, function ($base) use ($binary) {
            $size = strlen($binary);
            $return = '0';
            for ($i = 0; $i < $size; ++$i) {
                $element = ord($binary[$i]);
                $power = BC::pow($base, $size - $i - 1);
                $return = BC::add($return, BC::mul($element, $power));
            }

            return $return;
        }
        );
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @return string
     */
    public static function bitOr($leftOperand, $rightOperand)
    {
        return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_OR);
    }

    /**
     * @param string $leftOperand
     * @param string $rightOperand
     * @return string
     */
    public static function bitXor($leftOperand, $rightOperand)
    {
        return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_XOR);
    }
}


1		<?php
2
3		namespace BCMathExtended;
4
5		/**
6		* Class BC
7		* @package BCMathExtended
8		*/
9		class BC
10		{
11		const COMPARE_EQUAL = 0;
12		const COMPARE_LEFT_GRATER = 1;
13		const COMPARE_RIGHT_GRATER = -1;
14
15		const DEFAULT_SCALE = 100;
16
17		const MAX_BASE = 256;
18
19		const BIT_OPERATOR_AND = 'and';
20		const BIT_OPERATOR_OR = 'or';
21		const BIT_OPERATOR_XOR = 'xor';
22
23		/**
24		* @param int\|string $number
25		* @param int $precision
26		* @return string
27		*/
28	47	public static function round($number, $precision = 0)
29		{
30	47	$number = self::convertScientificNotationToString($number);
31	47	if (self::checkIsFloat($number)) {
32	36	if (self::isNegative($number)) {
33	4	return self::sub($number, '0.' . str_repeat('0', $precision) . '5', $precision);
34		}
35
36	32	return self::add($number, '0.' . str_repeat('0', $precision) . '5', $precision);
37		}
38
39	11	return self::checkNumber($number);
40		}
41
42		/**
43		* @param int\|string\|float $number
44		* @return string
45		*/
46	364	public static function convertScientificNotationToString($number)
47		{
48		// check if number is in scientific notation, first use stripos as is faster then preg_match
49	364	if (false !== stripos($number, 'E') && preg_match('/(-?(\d+\.)?\d+)E([+-]?)(\d+)/i', $number, $regs)) {
50		// calculate final scale of number
51	59	$scale = $regs[4] + self::getDecimalsLengthFromNumber($regs[1]);
52	59	$pow = self::pow(10, $regs[4], $scale);
53	59	if ('-' === $regs[3]) {
54	25	$number = self::div($regs[1], $pow, $scale);
55		} else {
56	34	$number = self::mul($pow, $regs[1], $scale);
57		}
58		// remove unnecessary 0 from 0.000 is a 0
59	59	$number = rtrim($number, '0');
60		// if you remove 0 you must clean dot
61	59	$number = rtrim($number, '.');
62		}
63
64	364	return self::checkNumber($number);
65		}
66
67		/**
68		* @param int\|string\|float $number
69		* @return int
70		*/
71	91	public static function getDecimalsLengthFromNumber($number)
72		{
73	91	$check = explode('.', $number);
74	91	if (!empty($check[1])) {
75	62	return strlen($check[1]);
76		}
77
78	29	return 0;
79		}
80
81		/**
82		* @param string $leftOperand
83		* @param string $rightOperand
84		* @param null\|int $scale
85		* @return string
86		*/
87	146	public static function pow($leftOperand, $rightOperand, $scale = null)
88		{
89	146	$leftOperand = self::convertScientificNotationToString($leftOperand);
90	146	$rightOperand = self::convertScientificNotationToString($rightOperand);
91
92	146	if (self::checkIsFloat($rightOperand)) {
93	7	if (null === $scale) {
94	2	return self::powFractional($leftOperand, $rightOperand);
95		}
96
97	5	return self::powFractional($leftOperand, $rightOperand, $scale);
98		}
99
100	146	if (null === $scale) {
101	74	return bcpow($leftOperand, $rightOperand);
102		}
103
104	75	return bcpow($leftOperand, $rightOperand, $scale);
105		}
106
107		/**
108		* @param int\|string $number
109		* @return bool
110		*/
111	262	private static function checkIsFloat($number)
112		{
113	262	return false !== strpos($number, '.');
114		}
115
116		/**
117		* @param string $leftOperand
118		* @param string $rightOperand
119		* @param null\|int $scale
120		* @return string
121		*/
122	7	private static function powFractional($leftOperand, $rightOperand, $scale = null)
123		{
124		// we need to increased scale to get correct results and avoid rounding error
125	7	$increasedScale = null === $scale ? self::getScale() : $scale;
126	7	$increasedScale *= 2;
127	7	$decimals = explode('.', $rightOperand);
128
129	7	return self::checkNumber(
130	7	self::mul(
131	7	self::exp(
132	7	self::mul(
133	7	self::log($leftOperand),
134	7	'0.' . $decimals[1],
135	7	$increasedScale
136		)
137		),
138	7	self::pow($leftOperand, $decimals[0], $increasedScale),
139	7	$scale
140		)
141		);
142		}
143
144		/**
145		* @return int
146		*/
147	40	public static function getScale()
148		{
149	40	$sqrt = self::sqrt('2');
150
151	40	return strlen(substr($sqrt, strpos($sqrt, '.') + 1));
152		}
153
154		/**
155		* @param string $operand
156		* @param null\|int $scale
157		* @return string
158		*/
159	45	public static function sqrt($operand, $scale = null)
160		{
161	45	$operand = self::convertScientificNotationToString($operand);
162
163	45	if (null === $scale) {
164	41	return bcsqrt($operand);
165		}
166
167	5	return bcsqrt($operand, $scale);
168		}
169
170		/**
171		* @param int\|string $number
172		* @return int\|string
173		*/
174	364	private static function checkNumber($number)
175		{
176	364	$number = str_replace('+', '', filter_var($number, FILTER_SANITIZE_NUMBER_FLOAT, FILTER_FLAG_ALLOW_FRACTION));
177	364	if ('-0' === $number \|\| !is_numeric($number)) {
178	28	return '0';
179		}
180
181	361	return $number;
182		}
183
184		/**
185		* @param string $leftOperand
186		* @param string $rightOperand
187		* @param null\|int $scale
188		* @return string
189		*/
190	166	public static function mul($leftOperand, $rightOperand, $scale = null)
191		{
192	166	$leftOperand = self::convertScientificNotationToString($leftOperand);
193	166	$rightOperand = self::convertScientificNotationToString($rightOperand);
194
195	166	if (null === $scale) {
196	60	return bcmul($leftOperand, $rightOperand);
197		}
198
199	108	return bcmul($leftOperand, $rightOperand, $scale);
200		}
201
202		/**
203		* @param string $arg
204		* @return string
205		*/
206	15	public static function exp($arg)
207		{
208	15	$scale = self::DEFAULT_SCALE;
209	15	$result = '1';
210	15	for ($i = 299; $i > 0; $i--) {
211	15	$result = self::add(self::mul(self::div($result, $i, $scale), $arg, $scale), 1, $scale);
212		}
213
214	15	return $result;
215		}
216
217		/**
218		* @param string $leftOperand
219		* @param string $rightOperand
220		* @param null\|int $scale
221		* @return string
222		*/
223	160	public static function add($leftOperand, $rightOperand, $scale = null)
224		{
225	160	$leftOperand = self::convertScientificNotationToString($leftOperand);
226	160	$rightOperand = self::convertScientificNotationToString($rightOperand);
227
228	160	if (null === $scale) {
229	41	return bcadd($leftOperand, $rightOperand);
230		}
231
232	122	return bcadd($leftOperand, $rightOperand, $scale);
233		}
234
235		/**
236		* @param string $leftOperand
237		* @param string $rightOperand
238		* @param null\|int $scale
239		* @return string
240		*/
241	130	public static function div($leftOperand, $rightOperand, $scale = null)
242		{
243	130	$leftOperand = self::convertScientificNotationToString($leftOperand);
244	130	$rightOperand = self::convertScientificNotationToString($rightOperand);
245
246	130	if (null === $scale) {
247	45	return bcdiv($leftOperand, $rightOperand);
248		}
249
250	93	return bcdiv($leftOperand, $rightOperand, $scale);
251		}
252
253		/**
254		* @param string $arg
255		* @return string
256		*/
257	12	public static function log($arg)
258		{
259	12	$arg = self::convertScientificNotationToString($arg);
260	12	if ($arg === '0') {
261	1	return '-INF';
262		}
263	11	if (self::COMPARE_RIGHT_GRATER === self::comp($arg, '0')) {
264	1	return 'NAN';
265		}
266	10	$scale = self::DEFAULT_SCALE;
267	10	$m = (string)log((float)$arg);
268	10	$x = self::sub(self::div($arg, self::exp($m), $scale), '1', $scale);
269	10	$res = '0';
270	10	$pow = '1';
271	10	$i = 1;
272		do {
273	10	$pow = self::mul($pow, $x, $scale);
274	10	$sum = self::div($pow, $i, $scale);
275	10	if ($i % 2 === 1) {
276	10	$res = self::add($res, $sum, $scale);
277		} else {
278	9	$res = self::sub($res, $sum, $scale);
279		}
280	10	$i++;
281	10	} while (self::comp($sum, '0', $scale));
282
283	10	return self::add($res, $m, $scale);
284		}
285
286		/**
287		* @param string $leftOperand
288		* @param string $rightOperand
289		* @param null\|int $scale
290		* @return int
291		*/
292	64	public static function comp($leftOperand, $rightOperand, $scale = null)
293		{
294	64	$leftOperand = self::convertScientificNotationToString($leftOperand);
295	64	$rightOperand = self::convertScientificNotationToString($rightOperand);
296
297	64	if (null === $scale) {
298	53	return bccomp($leftOperand, $rightOperand, max(strlen($leftOperand), strlen($rightOperand)));
299		}
300
301	21	return bccomp(
302	21	$leftOperand,
303	21	$rightOperand,
304	21	$scale
305		);
306		}
307
308		/**
309		* @param string $leftOperand
310		* @param string $rightOperand
311		* @param null\|int $scale
312		* @return string
313		*/
314	78	public static function sub($leftOperand, $rightOperand, $scale = null)
315		{
316	78	$leftOperand = self::convertScientificNotationToString($leftOperand);
317	78	$rightOperand = self::convertScientificNotationToString($rightOperand);
318
319	78	if (null === $scale) {
320	47	return bcsub($leftOperand, $rightOperand);
321		}
322
323	33	return bcsub($leftOperand, $rightOperand, $scale);
324		}
325
326		/**
327		* @param $number
328		* @return bool
329		*/
330	148	private static function isNegative($number)
331		{
332	148	return 0 === strncmp('-', $number, 1);
333		}
334
335		/**
336		* @param int\|string $min
337		* @param int\|string $max
338		* @return string
339		*/
340	2	public static function rand($min, $max)
341		{
342	2	$max = self::convertScientificNotationToString($max);
343	2	$min = self::convertScientificNotationToString($min);
344
345	2	$difference = self::add(self::sub($max, $min), 1);
346	2	$randPercent = self::div(mt_rand(), mt_getrandmax(), 8);
347
348	2	return self::add($min, self::mul($difference, $randPercent, 8), 0);
349		}
350
351		/**
352		* @param array\|int\|string,...
353		* @return null\|string
354		*/
355	1	public static function max()
356		{
357	1	$max = null;
358	1	$args = func_get_args();
359	1	if (is_array($args[0])) {
360	1	$args = $args[0];
361		}
362	1	foreach ($args as $number) {
363	1	$number = self::convertScientificNotationToString($number);
364	1	if (null === $max) {
365	1	$max = $number;
366	1	} elseif (self::comp((string)$max, $number) === self::COMPARE_RIGHT_GRATER) {
367	1	$max = $number;
368		}
369		}
370
371	1	return $max;
372		}
373
374		/**
375		* @param array\|int\|string,...
376		* @return null\|string
377		*/
378	1	public static function min()
379		{
380	1	$min = null;
381	1	$args = func_get_args();
382	1	if (is_array($args[0])) {
383	1	$args = $args[0];
384		}
385	1	foreach ($args as $number) {
386	1	$number = self::convertScientificNotationToString($number);
387	1	if (null === $min) {
388	1	$min = $number;
389	1	} elseif (self::comp((string)$min, $number) === self::COMPARE_LEFT_GRATER) {
390	1	$min = $number;
391		}
392		}
393
394	1	return $min;
395		}
396
397		/**
398		* @param int\|string $number
399		* @param int $precision
400		* @return string
401		*/
402	17	public static function roundDown($number, $precision = 0)
403		{
404	17	$number = self::convertScientificNotationToString($number);
405	17	$multiply = self::pow(10, (string)abs($precision));
406
407	17	return $precision < 0
408		?
409	4	self::mul(
410	4	self::floor(self::div($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
411	4	$precision
412		)
413		:
414	13	self::div(
415	13	self::floor(self::mul($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
416	17	$precision
417		);
418		}
419
420		/**
421		* @param int\|string $number
422		* @return string
423		*/
424	98	public static function floor($number)
425		{
426	98	$number = self::convertScientificNotationToString($number);
427	98	if (self::checkIsFloat($number) && self::checkIsFloatCleanZeros($number)) {
428	38	$result = 0;
429	38	if (self::isNegative($number)) {
430	7	--$result;
431		}
432	38	$number = self::add($number, $result, 0);
433		}
434
435	98	return self::checkNumber($number);
436		}
437
438		/**
439		* @param int\|string $number
440		* @return bool
441		*/
442	68	private static function checkIsFloatCleanZeros(&$number)
443		{
444	68	return false !== strpos($number = rtrim(rtrim($number, '0'), '.'), '.');
445		}
446
447		/**
448		* @param int\|string $number
449		* @param int $precision
450		* @return string
451		*/
452	17	public static function roundUp($number, $precision = 0)
453		{
454	17	$number = self::convertScientificNotationToString($number);
455	17	$multiply = self::pow(10, (string)abs($precision));
456
457	17	return $precision < 0
458		?
459	4	self::mul(
460	4	self::ceil(self::div($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
461	4	$precision
462		)
463		:
464	13	self::div(
465	13	self::ceil(self::mul($number, $multiply, self::getDecimalsLengthFromNumber($number))), $multiply,
466	17	$precision
467		);
468		}
469
470		/**
471		* @param int\|string $number
472		* @return string
473		*/
474	41	public static function ceil($number)
475		{
476	41	$number = self::convertScientificNotationToString($number);
477	41	if (self::checkIsFloat($number) && self::checkIsFloatCleanZeros($number)) {
478	22	$result = 1;
479	22	if (self::isNegative($number)) {
480	5	--$result;
481		}
482	22	$number = self::add($number, $result, 0);
483		}
484
485	41	return self::checkNumber($number);
486		}
487
488		/**
489		* @param string $leftOperand
490		* @param string $rightOperand
491		* @param string $modulus
492		* @param null\|int $scale
493		* @return string
494		*/
495	10	public static function powMod($leftOperand, $rightOperand, $modulus, $scale = null)
496		{
497	10	$leftOperand = self::convertScientificNotationToString($leftOperand);
498	10	$rightOperand = self::convertScientificNotationToString($rightOperand);
499
500		// bcpowmod in 5.6 have don't calculate correct results if scale is empty
501	10	if (null === $scale) {
502	4	return self::mod(self::pow($leftOperand, $rightOperand), $modulus);
503		}
504
505		// cant use bcpowmod here as it don't support floats
506	6	if (self::checkIsFloat($leftOperand) \|\| self::checkIsFloat($rightOperand) \|\| self::checkIsFloat($modulus)) {
507	2	return self::mod(self::pow($leftOperand, $rightOperand, $scale), $modulus, $scale);
508		}
509
510	4	return bcpowmod($leftOperand, $rightOperand, $modulus, $scale);
511		}
512
513		/**
514		* @param string $leftOperand
515		* @param string $modulus
516		* @param null\|int $scale
517		* @return string
518		*/
519	56	public static function mod($leftOperand, $modulus, $scale = null)
520		{
521	56	$leftOperand = self::convertScientificNotationToString($leftOperand);
522
523		// bcmod in 7.2 is not working properly - for example bcmod(9.9999E-10, -0.00056, 9) should return '-0.000559999' but returns 0.0000000
524
525		// bcmod in php 5.6< don't support scale and floats
526		// let use this $x - floor($x/$y) * $y;
527	56	if (null === $scale) {
528	44	return self::sub($leftOperand, self::mul(self::floor(self::div($leftOperand, $modulus)), $modulus));
529		}
530
531	12	return self::sub(
532	12	$leftOperand, self::mul(self::floor(self::div($leftOperand, $modulus, $scale)), $modulus, $scale), $scale
533		);
534		}
535
536		/**
537		* @param string $arg
538		* @return string
539		* @throws \InvalidArgumentException
540		*/
541	8	public static function fact($arg)
542		{
543	8	$arg = self::convertScientificNotationToString($arg);
544
545	8	if (self::checkIsFloat($arg)) {
546	1	throw new \InvalidArgumentException('Number has to be an integer');
547		}
548	7	if (self::isNegative($arg)) {
549	1	throw new \InvalidArgumentException('Number has to be greater than or equal to 0');
550		}
551
552	6	$return = '1';
553	6	for ($i = 2; $i <= $arg; ++$i) {
554	5	$return = self::mul($return, $i);
555		}
556
557	6	return $return;
558		}
559
560		/**
561		* @param string $hex
562		* @return string
563		*/
564	5	public static function hexdec($hex)
565		{
566	5	$remainingDigits = substr($hex, 0, -1);
567	5	$lastDigitToDecimal = \hexdec(substr($hex, -1));
568
569	5	if ('' === $remainingDigits) {
570	5	return $lastDigitToDecimal;
571		}
572
573	5	return self::add(self::mul(16, self::hexdec($remainingDigits)), $lastDigitToDecimal, 0);
574		}
575
576		/**
577		* @param string $decimal
578		* @return string
579		*/
580	6	public static function dechex($decimal)
581		{
582	6	$quotient = self::div($decimal, 16, 0);
583	6	$remainderToHex = \dechex((int)self::mod($decimal, 16));
584
585	6	if (self::comp($quotient, 0) === 0) {
586	6	return $remainderToHex;
587		}
588
589	6	return self::dechex($quotient) . $remainderToHex;
590		}
591
592		/**
593		* @param string $leftOperand
594		* @param string $rightOperand
595		* @return string
596		*/
597	12	public static function bitAnd($leftOperand, $rightOperand)
598		{
599	12	return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_AND);
600		}
601
602		/**
603		* @param string $leftOperand
604		* @param string $rightOperand
605		* @param string $operator
606		* @return string
607		*/
608	36	private static function bitOperatorHelper($leftOperand, $rightOperand, $operator)
609		{
610	36	$leftOperand = self::convertScientificNotationToString($leftOperand);
611	36	$rightOperand = self::convertScientificNotationToString($rightOperand);
612
613	36	if (self::checkIsFloat($leftOperand)) {
614	3	throw new \InvalidArgumentException('Left operator has to be an integer');
615		}
616	33	if (self::checkIsFloat($rightOperand)) {
617	3	throw new \InvalidArgumentException('Right operator has to be an integer');
618		}
619
620	30	$leftOperandNegative = self::isNegative($leftOperand);
621	30	$rightOperandNegative = self::isNegative($rightOperand);
622
623	30	$leftOperand = self::dec2bin(self::abs($leftOperand));
624	30	$rightOperand = self::dec2bin(self::abs($rightOperand));
625
626	30	$maxLength = max(strlen($leftOperand), strlen($rightOperand));
627
628	30	$leftOperand = self::alignBinLength($leftOperand, $maxLength);
629	30	$rightOperand = self::alignBinLength($rightOperand, $maxLength);
630
631	30	if ($leftOperandNegative) {
632	7	$leftOperand = self::recalculateNegative($leftOperand);
633		}
634	30	if ($rightOperandNegative) {
635	7	$rightOperand = self::recalculateNegative($rightOperand);
636		}
637
638	30	$isNegative = false;
639	30	$result = '';
640	30	if (self::BIT_OPERATOR_AND === $operator) {
641	10	$result = $leftOperand & $rightOperand;
642	10	$isNegative = ($leftOperandNegative and $rightOperandNegative);
643	20	} elseif (self::BIT_OPERATOR_OR === $operator) {
644	12	$result = $leftOperand \| $rightOperand;
645	12	$isNegative = ($leftOperandNegative or $rightOperandNegative);
646	8	} elseif (self::BIT_OPERATOR_XOR === $operator) {
647	8	$result = $leftOperand ^ $rightOperand;
648	8	$isNegative = ($leftOperandNegative xor $rightOperandNegative);
649		}
650
651	30	if ($isNegative) {
652	8	$result = self::recalculateNegative($result);
653		}
654
655	30	$result = self::bin2dec($result);
656
657	30	return $isNegative ? '-' . $result : $result;
658		}
659
660		/**
661		* @param string $number
662		* @param int $base
663		* @return string
664		*/
665	36	public static function dec2bin($number, $base = self::MAX_BASE)
666		{
667	36	return self::decBaseHelper(
668	36	$base, function ($base) use ($number) {
669	35	$value = '';
670	35	if ('0' === $number) {
671	30	return chr((int)$number);
672		}
673
674	33	while (BC::comp($number, '0') !== BC::COMPARE_EQUAL) {
675	33	$rest = BC::mod($number, $base);
676	33	$number = BC::div($number, $base);
677	33	$value = chr((int)$rest) . $value;
678		}
679
680	33	return $value;
681	36	}
682		);
683		}
684
685		/**
686		* @param int $base
687		* @param \Closure $closure
688		* @return string
689		*/
690	37	private static function decBaseHelper($base, \Closure $closure)
691		{
692	37	if ($base < 2 \|\| $base > self::MAX_BASE) {
693	2	throw new \InvalidArgumentException('Invalid Base: ' . $base);
694		}
695	35	$orgScale = self::getScale();
696	35	self::setScale(0);
697
698	35	$value = $closure($base);
699
700	35	self::setScale($orgScale);
701
702	35	return $value;
703		}
704
705		/**
706		* @param null\|int $scale
707		*/
708	366	public static function setScale($scale)
709		{
710	366	bcscale($scale);
711	366	}
712
713		/**
714		* @param int\|string $number
715		* @return string
716		*/
717	45	public static function abs($number)
718		{
719	45	$number = self::convertScientificNotationToString($number);
720
721	45	if (self::isNegative($number)) {
722	19	$number = (string)substr($number, 1);
723		}
724
725	45	return self::checkNumber($number);
726		}
727
728		/**
729		* @param string $string
730		* @param int $length
731		* @return string
732		*/
733	30	private static function alignBinLength($string, $length)
734		{
735	30	return str_pad($string, $length, self::dec2bin('0'), STR_PAD_LEFT);
736		}
737
738		/**
739		* @param string $number
740		* @return string
741		*/
742	11	private static function recalculateNegative($number)
743		{
744	11	$xor = str_repeat(self::dec2bin(self::MAX_BASE - 1), strlen($number));
745	11	$number ^= $xor;
746	11	for ($i = strlen($number) - 1; $i >= 0; $i--) {
747	11	$byte = ord($number[$i]);
748	11	if (++$byte !== self::MAX_BASE) {
749	11	$number[$i] = chr($byte);
750	11	break;
751		}
752		}
753
754	11	return $number;
755		}
756
757		/**
758		* @param string $binary
759		* @param int $base
760		* @return string
761		*/
762	36	public static function bin2dec($binary, $base = self::MAX_BASE)
763		{
764	36	return self::decBaseHelper(
765	36	$base, function ($base) use ($binary) {
766	35	$size = strlen($binary);
767	35	$return = '0';
768	35	for ($i = 0; $i < $size; ++$i) {
769	35	$element = ord($binary[$i]);
770	35	$power = BC::pow($base, $size - $i - 1);
771	35	$return = BC::add($return, BC::mul($element, $power));
772		}
773
774	35	return $return;
775	36	}
776		);
777		}
778
779		/**
780		* @param string $leftOperand
781		* @param string $rightOperand
782		* @return string
783		*/
784	14	public static function bitOr($leftOperand, $rightOperand)
785		{
786	14	return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_OR);
787		}
788
789		/**
790		* @param string $leftOperand
791		* @param string $rightOperand
792		* @return string
793		*/
794	10	public static function bitXor($leftOperand, $rightOperand)
795		{
796	10	return self::bitOperatorHelper($leftOperand, $rightOperand, self::BIT_OPERATOR_XOR);
797		}
798		}
799

krowinski / bcmath-extended

Pull Request — master (#28)

BC::bin2dec() A

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