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<?php
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namespace Samsara\Fermat;
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use Samsara\Exceptions\UsageError\IntegrityConstraint;
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use Samsara\Fermat\Enums\NumberBase;
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use Samsara\Fermat\Provider\ConstantProvider;
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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\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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/**
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* This class contains useful factory methods to create various numbers, verify the
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* class of a given number, and generally handle all of the formatting necessary to
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* satisfy the various constructors of valid value objects.
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*
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* @package Samsara\Fermat
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*/
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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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/* 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 = '6.2831853071795864769252867665590057683943387987502116419498891846156328125724179972560696506842341359';
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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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/* Natural log of 2 to 100 digits */
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public const LN_2 = '0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687';
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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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* This class will make and return an instance of a concrete value.
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*
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* The main reason for this class is that you can pass an unknown value instance as the
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* $type parameter and it will behave as if you passed the FQCN.
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*
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* @param mixed $type An instance of FQCN for any Fermat value class.
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* @param mixed $value Any value which is valid for the constructor which will be called.
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* @param int|null $scale The scale setting the created instance should have.
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* @param NumberBase $base The base to create the number in. Note, this is not the same as the base of $value, which is always base-10
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*
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* @return ImmutableDecimal|MutableDecimal|ImmutableFraction|MutableFraction|NumberInterface|FractionInterface
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* @throws IntegrityConstraint
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*/
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public static function make(mixed $type, mixed $value, ?int $scale = null, NumberBase $base = NumberBase::Ten)
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{
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if (is_object($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), $scale, $base, true);
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}
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if ($type === static::MUTABLE) {
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return new MutableDecimal(trim($value), $scale, $base, true);
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}
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if ($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, $base);
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}
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throw new IntegrityConstraint(
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'$type must be an implemented concrete class that is supported',
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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 $scale
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* @param NumberBase $base
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*
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* @return NumberInterface
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* @throws IntegrityConstraint
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*/
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public static function makeFromBase10($type, $value, ?int $scale = null, NumberBase $base = NumberBase::Ten): NumberInterface
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{
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/**
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* @var ImmutableDecimal|MutableDecimal $number
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*/
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$number = self::make($type, $value, $scale);
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return $number->setBase($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 $scale
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* @param NumberBase $base
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*
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* @return ImmutableDecimal|MutableDecimal|NumberInterface|ImmutableDecimal[]|MutableDecimal[]|NumberInterface[]
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* @throws IntegrityConstraint
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*/
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public static function makeOrDont(string|object $type, mixed $value, ?int $scale = null, NumberBase $base = NumberBase::Ten)
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{
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if (is_object($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(NumberBase::Ten), $scale, $base);
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}
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} elseif (is_array($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, $scale, $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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$isImaginary = str_contains($value, 'i');
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if (is_numeric($value) || $isImaginary) {
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return static::make($type, $value, $scale, $base);
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}
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}
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throw new IntegrityConstraint(
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'$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 string $type
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* @param string $value
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* @param NumberBase $base
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*
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* @return FractionInterface
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* @throws IntegrityConstraint
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*/
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public static function makeFractionFromString(string $type, string $value, NumberBase $base = NumberBase::Ten): FractionInterface
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{
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$parts = explode('/', $value);
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if (count($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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}
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/** @var ImmutableDecimal $numerator */
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$numerator = self::make(self::IMMUTABLE, trim(ltrim($parts[0])));
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/** @var ImmutableDecimal $denominator */
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$denominator = isset($parts[1]) ? self::make(self::IMMUTABLE, trim(ltrim($parts[1]))) : self::makeOne();
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if ($type === self::IMMUTABLE_FRACTION) {
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return new ImmutableFraction($numerator, $denominator, $base);
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}
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if ($type === self::MUTABLE_FRACTION) {
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return new MutableFraction($numerator, $denominator, $base);
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}
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throw new IntegrityConstraint(
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'Type must be an implementation of FractionInterface',
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'Alter to calling code to use the correct type',
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'makeFractionFromString can only make objects which implement the FractionInterface; '.$type.' given'
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);
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}
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/**
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* @param int|null $scale
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*
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* @return ImmutableDecimal
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* @throws IntegrityConstraint
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*/
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public static function makePi(int $scale = null): ImmutableDecimal
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{
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if (!is_null($scale)) {
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if ($scale < 1) {
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throw new IntegrityConstraint(
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'$scale must be at least 1',
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'Provide a scale within range',
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'The pi constant cannot have a scale less than 1'
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);
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}
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if ($scale > 100) {
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return self::make(self::IMMUTABLE, ConstantProvider::makePi($scale), $scale);
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}
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return self::make(self::IMMUTABLE, self::PI, $scale)->truncateToScale($scale);
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}
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return self::make(self::IMMUTABLE, self::PI, 100);
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}
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/**
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* @param null $scale
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*
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* @return ImmutableDecimal
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* @throws IntegrityConstraint
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*/
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public static function makeTau($scale = null): ImmutableDecimal
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{
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if (!is_null($scale)) {
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if ($scale < 1) {
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throw new IntegrityConstraint(
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'$scale must be at least 1',
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'Provide a scale within range',
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'The E constant cannot have a scale less than 1'
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);
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}
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if ($scale > 100) {
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$pi = self::make(self::IMMUTABLE, ConstantProvider::makePi($scale), $scale + 2);
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/** @var ImmutableDecimal */
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return $pi->multiply(2)->truncateToScale($scale);
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}
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return self::make(self::IMMUTABLE, self::TAU, $scale)->truncateToScale($scale);
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}
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return self::make(self::IMMUTABLE, self::TAU, 100);
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}
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/**
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* @param int|null $scale
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*
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* @return ImmutableDecimal
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* @throws IntegrityConstraint
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*/
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8 |
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public static function make2Pi(int $scale = null): ImmutableDecimal
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{
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return self::makeTau($scale);
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}
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/**
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* @param int|null $scale
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*
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* @return ImmutableDecimal
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* @throws IntegrityConstraint
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*/
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public static function makeE(int $scale = null): ImmutableDecimal
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{
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270
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11 |
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if (!is_null($scale)) {
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9 |
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if ($scale < 1) {
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1 |
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throw new IntegrityConstraint(
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'$scale must be at least 1',
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'Provide a scale within range',
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'The E constant cannot have a scale less than 1'
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);
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}
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9 |
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if ($scale > 100) {
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1 |
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return self::make(self::IMMUTABLE, ConstantProvider::makeE($scale), $scale);
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}
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9 |
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return self::make(self::IMMUTABLE, self::E, $scale)->truncateToScale($scale);
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}
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285
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286
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4 |
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return self::make(self::IMMUTABLE, self::E, 100);
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}
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290
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/**
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* @param int|null $scale
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*
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* @return ImmutableDecimal
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* @throws IntegrityConstraint
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*/
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1 |
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public static function makeGoldenRatio(?int $scale = null): ImmutableDecimal
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{
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299
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1 |
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if (!is_null($scale)) {
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1 |
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if ($scale > 100 || $scale < 1) {
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301
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1 |
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throw new IntegrityConstraint(
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'$scale must be between 1 and 100 inclusive',
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'Provide a scale within range',
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'The Golden Ratio constant cannot have a scale higher than the constant stored (100)'
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);
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}
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return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, $scale)->truncateToScale($scale);
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}
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311
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return self::make(self::IMMUTABLE, self::GOLDEN_RATIO, 100);
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}
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314
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315
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/**
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316
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* @param int|null $scale
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317
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*
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318
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* @return ImmutableDecimal
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319
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* @throws IntegrityConstraint
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320
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*/
|
321
|
3 |
|
public static function makeNaturalLog10(?int $scale = null): ImmutableDecimal
|
322
|
|
|
{
|
323
|
|
|
|
324
|
3 |
|
if (!is_null($scale)) {
|
325
|
3 |
|
if ($scale < 1) {
|
326
|
1 |
|
throw new IntegrityConstraint(
|
327
|
|
|
'$scale must be at least 1',
|
328
|
|
|
'Provide a scale within range',
|
329
|
|
|
'The natural log of 10 constant cannot have a scale less than 1'
|
330
|
|
|
);
|
331
|
|
|
}
|
332
|
|
|
|
333
|
3 |
|
if ($scale > 100) {
|
334
|
|
|
return self::make(self::IMMUTABLE, ConstantProvider::makeLn10($scale), $scale);
|
335
|
|
|
}
|
336
|
|
|
|
337
|
3 |
|
return self::make(self::IMMUTABLE, self::LN_10, $scale)->truncateToScale($scale);
|
338
|
|
|
}
|
339
|
|
|
|
340
|
1 |
|
return self::make(self::IMMUTABLE, self::LN_10, 100);
|
341
|
|
|
|
342
|
|
|
}
|
343
|
|
|
|
344
|
|
|
/**
|
345
|
|
|
* @param int|null $scale
|
346
|
|
|
*
|
347
|
|
|
* @return ImmutableDecimal
|
348
|
|
|
* @throws IntegrityConstraint
|
349
|
|
|
*/
|
350
|
5 |
|
public static function makeNaturalLog2(?int $scale = null): ImmutableDecimal
|
351
|
|
|
{
|
352
|
|
|
|
353
|
5 |
|
if (!is_null($scale)) {
|
354
|
5 |
|
if ($scale < 1) {
|
355
|
|
|
throw new IntegrityConstraint(
|
356
|
|
|
'$scale must be at least 1',
|
357
|
|
|
'Provide a scale within range',
|
358
|
|
|
'The natural log of 10 constant cannot have a scale less than 1'
|
359
|
|
|
);
|
360
|
|
|
}
|
361
|
|
|
|
362
|
5 |
|
if ($scale > 100) {
|
363
|
|
|
return self::make(self::IMMUTABLE, ConstantProvider::makeLn2($scale), $scale);
|
364
|
|
|
}
|
365
|
|
|
|
366
|
5 |
|
return self::make(self::IMMUTABLE, self::LN_2, $scale)->truncateToScale($scale);
|
367
|
|
|
}
|
368
|
|
|
|
369
|
|
|
return self::make(self::IMMUTABLE, self::LN_2, 100);
|
370
|
|
|
|
371
|
|
|
}
|
372
|
|
|
|
373
|
|
|
/**
|
374
|
|
|
* @param int|null $scale
|
375
|
|
|
*
|
376
|
|
|
* @return ImmutableDecimal
|
377
|
|
|
* @throws IntegrityConstraint
|
378
|
|
|
*/
|
379
|
42 |
|
public static function makeOne(?int $scale = null): ImmutableDecimal
|
380
|
|
|
{
|
381
|
42 |
|
return self::make(self::IMMUTABLE, 1, $scale);
|
382
|
|
|
}
|
383
|
|
|
|
384
|
|
|
/**
|
385
|
|
|
* @param int|null $scale
|
386
|
|
|
*
|
387
|
|
|
* @return ImmutableDecimal
|
388
|
|
|
* @throws IntegrityConstraint
|
389
|
|
|
*/
|
390
|
31 |
|
public static function makeZero(?int $scale = null): ImmutableDecimal
|
391
|
|
|
{
|
392
|
31 |
|
return self::make(self::IMMUTABLE, 0, $scale);
|
393
|
|
|
}
|
394
|
|
|
|
395
|
|
|
} |
This check compares calls to functions or methods with their respective definitions. If the call has more arguments than are defined, it raises an issue.
If a function is defined several times with a different number of parameters, the check may pick up the wrong definition and report false positives. One codebase where this has been known to happen is Wordpress. Please note the @ignore annotation hint above.