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<?php |
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namespace Samsara\Fermat\Provider; |
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use Samsara\Fermat\Enums\NumberBase; |
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use Samsara\Fermat\Numbers; |
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use Samsara\Fermat\Types\Base\Interfaces\Numbers\DecimalInterface; |
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use Samsara\Fermat\Values\ImmutableDecimal; |
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/** |
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* |
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*/ |
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class BaseConversionProvider |
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{ |
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private static array $chars = [ |
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'0', |
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'1', |
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'2', |
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'3', |
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'4', |
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'5', |
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'6', |
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'7', |
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'8', |
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'9', |
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'A', |
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'B', |
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'C', |
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'D', |
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'E', |
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'F' |
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]; |
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/** |
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* @param DecimalInterface $number |
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* @param NumberBase|null $toBase |
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* @return string |
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*/ |
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public static function convertFromBaseTen(DecimalInterface $number, ?NumberBase $toBase = null): string |
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{ |
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$base = $toBase ?? $number->getBase(); |
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return self::_toBase($number, $base->value); |
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} |
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/** |
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* @param string $number |
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* @param NumberBase $fromBase |
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* @return string |
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*/ |
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public static function convertStringToBaseTen(string $number, NumberBase $fromBase): string |
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{ |
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if (str_contains($number, '.')) { |
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$sign = str_starts_with($number, '-') ? '-' : ''; |
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[$intPart, $decPart] = explode('.', $number); |
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$intPart = self::_fromBase($intPart, $fromBase->value); |
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$decPart = strrev(self::_fromBase(strrev($decPart), $fromBase->value)); |
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return $sign.$intPart.'.'.$decPart; |
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} else { |
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$sign = str_starts_with($number, '-') ? '-' : ''; |
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return $sign.self::_fromBase($number, $fromBase->value); |
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} |
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} |
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private static function _toBase(DecimalInterface $input, int $base): string |
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{ |
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$baseNum = Numbers::make(Numbers::IMMUTABLE, $base, $input->getScale()); |
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$inputInt = Numbers::make(Numbers::IMMUTABLE, $input->getWholePart()); |
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$inputDec = Numbers::make(Numbers::IMMUTABLE, strrev($input->getDecimalPart())); |
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$intPart = self::_toBasePart($baseNum, $inputInt); |
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$decPart = self::_toBasePart($baseNum, $inputDec); |
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$sign = $input->isNegative() ? '-' : ''; |
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return $sign.$intPart.'.'.strrev($decPart); |
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} |
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private static function _fromBase(string $number, int $base): string |
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{ |
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if (str_starts_with($number, '-')) { |
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$number = trim($number, '-'); |
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} |
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$output = Numbers::makeZero(); |
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$input = str_split($number); |
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$input = array_reverse($input); |
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$pos = 0; |
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$base = Numbers::make(Numbers::IMMUTABLE, $base); |
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foreach ($input as $char) { |
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$output = $output->add($base->pow($pos)->multiply(array_search($char, self::$chars))); |
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$pos++; |
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} |
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return $output->getAsBaseTenRealNumber(); |
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} |
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public static function _toBasePart(ImmutableDecimal $baseNum, ImmutableDecimal $startVal): string |
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{ |
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if ($startVal->isGreaterThan(0)) { |
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$stringVal = ''; |
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$runningTotal = Numbers::make(Numbers::IMMUTABLE, $startVal->getAsBaseTenRealNumber()); |
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while ($runningTotal->isGreaterThan(0)) { |
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$current = gmp_div_qr($runningTotal->getAsBaseTenRealNumber(), $baseNum->getAsBaseTenRealNumber()); |
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$mod = (int)$current[1]; |
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$stringVal = self::$chars[$mod] . $stringVal; |
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$runningTotal = Numbers::make(Numbers::IMMUTABLE, $current[0]); |
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} |
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} else { |
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$stringVal = '0'; |
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} |
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return $stringVal; |
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} |
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} |