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<?php
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namespace Samsara\Fermat;
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use ReflectionException;
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use Samsara\Exceptions\UsageError\IntegrityConstraint;
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use Samsara\Fermat\Types\Base\Interfaces\Coordinates\CoordinateInterface;
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use Samsara\Fermat\Types\Base\Interfaces\Numbers\DecimalInterface;
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use Samsara\Fermat\Types\Base\Interfaces\Numbers\FractionInterface;
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use Samsara\Fermat\Types\Base\Interfaces\Numbers\NumberInterface;
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use Samsara\Fermat\Types\Fraction;
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use Samsara\Fermat\Values\Geometry\CoordinateSystems\CartesianCoordinate;
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use Samsara\Fermat\Values\ImmutableFraction;
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use Samsara\Fermat\Values\ImmutableDecimal;
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use Samsara\Fermat\Values\MutableFraction;
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use Samsara\Fermat\Values\MutableDecimal;
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class Numbers
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{
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public const MUTABLE = MutableDecimal::class;
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public const IMMUTABLE = ImmutableDecimal::class;
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public const MUTABLE_FRACTION = MutableFraction::class;
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public const IMMUTABLE_FRACTION = ImmutableFraction::class;
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public const CARTESIAN_COORDINATE = CartesianCoordinate::class;
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/* 105 digits after decimal, which is going to be overkill in almost all places */
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public const PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679';
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/* Tau (2pi) to 100 digits */
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public const TAU = '6.283185307179586476925286766559005768394338798750211641949889184615632812572417997256069650684234136';
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/* Euler's Number to 100 digits */
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public const E = '2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427';
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/* Golden Ratio to 100 digits */
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public const GOLDEN_RATIO = '1.618033988749894848204586834365638117720309179805762862135448622705260462818902449707207204189391137';
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/* Natural log of 10 to 100 digits */
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public const LN_10 = '2.302585092994045684017991454684364207601101488628772976033327900967572609677352480235997205089598298';
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/* The value of i^i */
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public const I_POW_I = '0.2078795763507619085469556198349787700338778416317696080751358830554198772854821397886002778654260353';
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/**
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* @param $type
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* @param $value
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* @param int|null $precision
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* @param int $base
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*
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* @return ImmutableDecimal|MutableDecimal|ImmutableFraction|MutableFraction|CartesianCoordinate|NumberInterface|FractionInterface|CoordinateInterface
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* @throws IntegrityConstraint
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* @throws ReflectionException
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*/
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public static function make($type, $value, $precision = null, $base = 10)
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{
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if (is_object($type)) {
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$type = get_class($type);
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}
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if ($type === static::IMMUTABLE) {
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return new ImmutableDecimal(trim($value), $precision, $base);
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}
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if ($type === static::MUTABLE) {
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return new MutableDecimal(trim($value), $precision, $base);
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}
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1 |
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if ($type === static::IMMUTABLE_FRACTION) {
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return self::makeFractionFromString($type, $value, $base);
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}
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if ($type === static::MUTABLE_FRACTION) {
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return self::makeFractionFromString($type, $value, $base);
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}
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1 |
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if ($type === static::CARTESIAN_COORDINATE && is_array($value)) {
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$x = $value[0];
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$y = $value[1] ?? null;
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$z = $value[2] ?? null;
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return new CartesianCoordinate($x, $y, $z);
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}
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$reflector = new \ReflectionClass($type);
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if ($reflector->implementsInterface(FractionInterface::class) && $reflector->isSubclassOf(Fraction::class)) {
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return self::makeFractionFromString($reflector->getName(), $value, $base);
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}
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if ($reflector->implementsInterface(CoordinateInterface::class) && is_array($value)) {
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/** @var CoordinateInterface $customCoordinate */
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$customCoordinate = $reflector->newInstance([
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$value
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]);
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return $customCoordinate;
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}
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if ($reflector->implementsInterface(NumberInterface::class)) {
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/** @var NumberInterface $customNumber */
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$customNumber = $reflector->newInstance([
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trim($value),
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$precision,
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$base
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]);
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return $customNumber;
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}
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if ($reflector->implementsInterface(CoordinateInterface::class) && !is_array($value)) {
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throw new IntegrityConstraint(
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'The $value for a CoordinateInterface must be an array',
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'Provide an array for the $value',
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'A CoordinateInterface expects the value to be an array of axes and values'
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);
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}
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throw new IntegrityConstraint(
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'$type must be an implementation of NumberInterface or CoordinateInterface',
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'Provide a type that implements NumberInterface or CoordinateInterface (the Numbers class contains constants for the built in ones)',
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'The $type argument was not an implementation of NumberInterface or CoordinateInterface'
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);
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}
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/**
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* @param $type
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* @param $value
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* @param int|null $precision
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* @param int $base
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*
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* @return NumberInterface
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* @throws IntegrityConstraint
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* @throws ReflectionException
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*/
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public static function makeFromBase10($type, $value, $precision = null, $base = 10): NumberInterface
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{
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/**
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* @var ImmutableDecimal|MutableDecimal
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*/
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$number = self::make($type, $value, $precision, 10);
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return $number->convertToBase($base);
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}
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/**
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* @param string|object $type
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* @param int|float|string|array|NumberInterface|DecimalInterface|FractionInterface $value
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* @param int|null $precision
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* @param int $base
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*
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* @return ImmutableDecimal|MutableDecimal|NumberInterface|ImmutableDecimal[]|MutableDecimal[]|NumberInterface[]
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* @throws IntegrityConstraint|ReflectionException
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*/
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public static function makeOrDont($type, $value, $precision = null, $base = 10)
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{
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if (is_object($value)) {
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if ($value instanceof $type) {
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return $value;
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}
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if ($value instanceof NumberInterface) {
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return static::make($type, $value->getValue(), $precision, $base);
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}
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} elseif (is_array($value)) {
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$newInput = [];
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foreach ($value as $key => $item) {
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$newInput[$key] = static::makeOrDont($type, $item, $precision, $base);
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}
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return $newInput;
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} elseif (is_string($value) || is_int($value) || is_float($value)) {
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$isImaginary = strpos($value, 'i') !== false;
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if (is_numeric($value) || $isImaginary) {
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return static::make($type, $value, $precision, $base);
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}
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}
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throw new IntegrityConstraint(
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'$input must be an int, float, numeric string, or an implementation of NumberInterface',
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'Provide any of the MANY valid inputs',
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'The $input argument was not numeric or an implementation of NumberInterface. Given value: '.$value
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);
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}
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/**
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* @param $type
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* @param $value
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* @param int $base
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*
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* @return FractionInterface|ImmutableFraction|MutableFraction
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8 |
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* @throws IntegrityConstraint|ReflectionException
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*/
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public static function makeFractionFromString($type, $value, int $base = 10): FractionInterface
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{
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$parts = explode('/', $value);
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195
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if (count($parts) > 2) {
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throw new IntegrityConstraint(
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'Only one division symbol (/) can be used',
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'Change the calling code to not provide more than one division symbol',
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'makeFractionFromString needs either one or zero division symbols in the $value argument; '.$value.' given'
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);
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201
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}
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202
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8 |
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203
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/** @var ImmutableDecimal $numerator */
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204
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$numerator = self::make(self::IMMUTABLE, trim(ltrim($parts[0])))->round();
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/** @var ImmutableDecimal $denominator */
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$denominator = isset($parts[1]) ? self::make(self::IMMUTABLE, trim(ltrim($parts[1])))->round() : self::makeOne();
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8 |
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208
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3 |
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if ($type === self::IMMUTABLE_FRACTION) {
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3 |
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return new ImmutableFraction($numerator, $denominator, $base);
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}
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211
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212
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if ($type === self::MUTABLE_FRACTION) {
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return new MutableFraction($numerator, $denominator, $base);
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}
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215
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216
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$reflector = new \ReflectionClass($type);
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217
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218
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if ($reflector->implementsInterface(FractionInterface::class) && $reflector->isSubclassOf(Fraction::class)) {
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219
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/** @var FractionInterface|Fraction $customFraction */
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220
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$customFraction = $reflector->newInstance([
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$numerator,
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$denominator,
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$base
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224
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]);
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225
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return $customFraction;
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226
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}
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227
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228
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throw new IntegrityConstraint(
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229
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'Type must be an implementation of FractionInterface',
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230
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'Alter to calling code to use the correct type',
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231
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'makeFractionFromString can only make objects which implement the FractionInterface; '.$type.' given'
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232
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);
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233
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}
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234
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235
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/**
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236
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* @param int|null $precision
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237
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23 |
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*
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238
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* @return NumberInterface
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239
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* @throws ReflectionException
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240
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23 |
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* @throws IntegrityConstraint
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241
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1 |
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*/
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242
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1 |
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public static function makePi(int $precision = null)
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243
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1 |
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{
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244
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1 |
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245
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if (!is_null($precision)) {
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246
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if ($precision > 100 || $precision < 1) {
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247
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throw new IntegrityConstraint(
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248
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23 |
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'$precision must be between 1 and 100 inclusive',
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249
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14 |
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'Provide a precision within range',
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250
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'The PI constant cannot have a precision higher than the constant stored (100)'
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251
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23 |
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);
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252
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}
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253
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254
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return self::make(self::IMMUTABLE, self::PI, $precision)->truncateToPrecision($precision);
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255
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}
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256
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257
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return self::make(self::IMMUTABLE, self::PI, 100);
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258
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259
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}
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260
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261
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/**
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262
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22 |
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* @param int|null $precision
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263
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*
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264
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22 |
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* @return NumberInterface
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265
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1 |
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* @throws ReflectionException
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266
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1 |
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* @throws IntegrityConstraint
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267
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1 |
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*/
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268
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1 |
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public static function makeTau($precision = null)
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269
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{
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270
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if (!is_null($precision)) {
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271
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if ($precision > 100 || $precision < 1) {
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272
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22 |
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throw new IntegrityConstraint(
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273
|
6 |
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'$precision must be between 1 and 100 inclusive',
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274
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'Provide a precision within range',
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275
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22 |
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'The TAU constant cannot have a precision higher than the constant stored (100)'
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276
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);
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277
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}
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278
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279
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return self::make(self::IMMUTABLE, self::TAU, $precision)->truncateToPrecision($precision);
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280
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}
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281
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282
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return self::make(self::IMMUTABLE, self::TAU, 100);
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283
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}
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|
284
|
|
|
|
|
285
|
22 |
|
/**
|
|
286
|
|
|
* @param int|null $precision
|
|
287
|
22 |
|
*
|
|
288
|
|
|
* @return NumberInterface
|
|
289
|
|
|
* @throws IntegrityConstraint
|
|
290
|
|
|
* @throws ReflectionException
|
|
291
|
|
|
*/
|
|
292
|
|
|
public static function make2Pi($precision = null)
|
|
293
|
|
|
{
|
|
294
|
|
|
return self::makeTau($precision);
|
|
295
|
|
|
}
|
|
296
|
7 |
|
|
|
297
|
|
|
/**
|
|
298
|
|
|
* @param int|null $precision
|
|
299
|
7 |
|
*
|
|
300
|
1 |
|
* @return NumberInterface
|
|
301
|
1 |
|
* @throws ReflectionException
|
|
302
|
1 |
|
* @throws IntegrityConstraint
|
|
303
|
1 |
|
*/
|
|
304
|
|
|
public static function makeE($precision = null)
|
|
305
|
|
|
{
|
|
306
|
|
|
|
|
307
|
7 |
|
if (!is_null($precision)) {
|
|
308
|
5 |
|
if ($precision > 100 || $precision < 1) {
|
|
309
|
|
|
throw new IntegrityConstraint(
|
|
310
|
4 |
|
'$precision must be between 1 and 100 inclusive',
|
|
311
|
|
|
'Provide a precision within range',
|
|
312
|
|
|
'The E constant cannot have a precision higher than the constant stored (100)'
|
|
313
|
|
|
);
|
|
314
|
|
|
}
|
|
315
|
|
|
|
|
316
|
|
|
return self::make(self::IMMUTABLE, self::E, $precision)->truncateToPrecision($precision);
|
|
317
|
|
|
}
|
|
318
|
|
|
|
|
319
|
|
|
return self::make(self::IMMUTABLE, self::E, 100);
|
|
320
|
|
|
|
|
321
|
1 |
|
}
|
|
322
|
|
|
|
|
323
|
|
|
/**
|
|
324
|
1 |
|
* @param int|null $precision
|
|
325
|
1 |
|
*
|
|
326
|
1 |
|
* @return NumberInterface
|
|
327
|
1 |
|
* @throws ReflectionException
|
|
328
|
1 |
|
* @throws IntegrityConstraint
|
|
329
|
|
|
*/
|
|
330
|
|
|
public static function makeGoldenRatio($precision = null)
|
|
331
|
|
|
{
|
|
332
|
1 |
|
|
|
333
|
1 |
|
if (!is_null($precision)) {
|
|
334
|
|
|
if ($precision > 100 || $precision < 1) {
|
|
335
|
1 |
|
throw new IntegrityConstraint(
|
|
336
|
|
|
'$precision must be between 1 and 100 inclusive',
|
|
337
|
|
|
'Provide a precision within range',
|
|
338
|
|
|
'The Golden Ratio constant cannot have a precision higher than the constant stored (100)'
|
|
339
|
|
|
);
|
|
340
|
|
|
}
|
|
341
|
|
|
|
|
342
|
|
|
return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, $precision)->truncateToPrecision($precision);
|
|
343
|
|
|
}
|
|
344
|
|
|
|
|
345
|
|
|
return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, 100);
|
|
346
|
2 |
|
|
|
347
|
|
|
}
|
|
348
|
|
|
|
|
349
|
2 |
|
/**
|
|
350
|
1 |
|
* @param int|null $precision
|
|
351
|
1 |
|
*
|
|
352
|
1 |
|
* @return NumberInterface
|
|
353
|
1 |
|
* @throws ReflectionException
|
|
354
|
|
|
* @throws IntegrityConstraint
|
|
355
|
|
|
*/
|
|
356
|
|
|
public static function makeNaturalLog10($precision = null)
|
|
357
|
2 |
|
{
|
|
358
|
1 |
|
|
|
359
|
|
|
if (!is_null($precision)) {
|
|
360
|
2 |
|
if ($precision > 100 || $precision < 1) {
|
|
361
|
|
|
throw new IntegrityConstraint(
|
|
362
|
|
|
'$precision must be between 1 and 100 inclusive',
|
|
363
|
|
|
'Provide a precision within range',
|
|
364
|
|
|
'The natural log of 10 constant cannot have a precision higher than the constant stored (100)'
|
|
365
|
|
|
);
|
|
366
|
|
|
}
|
|
367
|
|
|
|
|
368
|
|
|
return self::make(self::IMMUTABLE, self::LN_10, $precision)->truncateToPrecision($precision);
|
|
369
|
|
|
}
|
|
370
|
|
|
|
|
371
|
41 |
|
return self::make(self::IMMUTABLE, self::LN_10, 100);
|
|
372
|
|
|
|
|
373
|
41 |
|
}
|
|
374
|
|
|
|
|
375
|
|
|
/**
|
|
376
|
|
|
* @param int|null $precision
|
|
377
|
|
|
*
|
|
378
|
|
|
* @return ImmutableDecimal
|
|
379
|
|
|
* @throws IntegrityConstraint
|
|
380
|
|
|
* @throws ReflectionException
|
|
381
|
|
|
*/
|
|
382
|
42 |
|
public static function makeOne($precision = null)
|
|
383
|
|
|
{
|
|
384
|
42 |
|
return self::make(self::IMMUTABLE, 1, $precision);
|
|
|
|
|
|
|
385
|
|
|
}
|
|
386
|
|
|
|
|
387
|
|
|
/**
|
|
388
|
|
|
* @param int|null $precision
|
|
389
|
|
|
*
|
|
390
|
|
|
* @return ImmutableDecimal
|
|
391
|
|
|
* @throws IntegrityConstraint
|
|
392
|
|
|
* @throws ReflectionException
|
|
393
|
|
|
*/
|
|
394
|
|
|
public static function makeZero($precision = null)
|
|
395
|
|
|
{
|
|
396
|
|
|
return self::make(self::IMMUTABLE, 0, $precision);
|
|
|
|
|
|
|
397
|
|
|
}
|
|
398
|
|
|
|
|
399
|
|
|
} |
JordanRL /
Fermat
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