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PHP-Math-Integer

1. Features

PHP-Math-Integer is a PHP library which treats the subjects of number theory (only natural number).

Available Subjects:

• basic matters of Numbers
• basic matters of Primes
• basic matters of Divisors
• basic matters of Multiples
• basic matters of Euclidean Algorithm
• basic matters of Common Fractions
• basic matters of Bezout's Identities

2. Contents

• 1. Features
• 2. Contents
• 3. Requirements
• 4. Installation
• 5. Usage
  • 5.1. Macocci7\PhpMathInteger\Number
  • 5.2. Macocci7\PhpMathInteger\Prime
  • 5.3. Macocci7\PhpMathInteger\Divisor
  • 5.4. Macocci7\PhpMathInteger\Multiple
  • 5.5. Macocci7\PhpMathInteger\Euclid
  • 5.6. Macocci7\PhpMathInteger\Fraction
  • 5.7. Macocci7\PhpMathInteger\Bezout
• 6. Examples
• 7. LICENSE

3. Requirements

• PHP 8.1 or later
• Composer

4. Installation

5. Usage

• 5.1. Macocci7\PhpMathInteger\Number
• 5.2. Macocci7\PhpMathInteger\Prime
• 5.3. Macocci7\PhpMathInteger\Divisor
• 5.4. Macocci7\PhpMathInteger\Multiple
• 5.5. Macocci7\PhpMathInteger\Euclid
• 5.6. Macocci7\PhpMathInteger\Fraction
• 5.7. Macocci7\PhpMathInteger\Bezout

5.1. Macocci7\PhpMathInteger\Number

This class treats basic matters of numbers.

• PHP:

• Result:

• Methods:

  Method	Detail
  isInt(mixed $n)	judges if the param is integer or not
  isIntAll(array $ns)	judges if all of the param are integer or not
  isNatural(mixed $n)	judges if the param is natural number or not
  isNaturalAll(array $ns)	judges if all of the param are natural number or not
  isFloat(mixed $n)	judges if the param is float or not
  isFloatAll(array $ns)	judges if all of the param are float or not
  isNumber(mixed $n)	judges if the param is number or not (different from is_numeric())
  isNumberAll(array $ns)	judges if all of the param are number or not
  isFraction(mixed $n)	judges if the param is decimal fraction or not
  isFractionAll(array $ns)	judges if all of the param are fraction or not
  sign(int\|float\|null $n)	returns the sign of the param as one of -1, 0 or 1
  int(float $n)	returns the integral part of the param
  fraction(float $n)	returns the fractional part of the param
  nthDigit(int $n, int\|float $d)	returns the nth digit of the param
  numberOfDigits(int\|float $n)	returns the number of digits of the param
  numberOfFractionalDigits(float $n)	returns the number of fractional digits of the param

5.2. Macocci7\PhpMathInteger\Prime

This class treats basic matters of primes.

• PHP:

• Result:

• Methods:

  Method	Detail
  isPrime(int $n)	judges if the param is prime or not
  isPrimeAll(array $elements)	judges if all of the param are prime or not
  previous(int $n)	returns a prime previous to the param
  next(int $n)	returns a prime next to the param
  between(int $a, int $b)	returns array of primes between the params
  factorize(int $n)	factorize the param and returns the process as an array
  factors(int $n)	returns the factorized factors of the param as an array
  factorizedFormula(int $n)	returns the factorized formula as an array

5.3. Macocci7\PhpMathInteger\Divisor

This class treats basic matters of divisors.

• PHP:

• Result:

• Methods:

  Method	Detail
  count(int $n)	returns the number of divisors of the param
  value(array $factors)	converts the factorized array into an integer and returns it
  formula(int $n)	returns the factorized formula as strings
  list(int $n)	returns all of divisors of the param as an array
  commonFactors(int $n1, int $n2)	returns common factors of the params as an array
  greatestCommonFactor(int $n1, int $n2)	returns the greatest common factor of the params
  commonDivisors(int $n1, int $n2)	returns all of common divisors of the param as an array
  reduceFraction(int $n1, int $n2)	returns reduced fraction consisting of the params as an array

5.4. Macocci7\PhpMathInteger\Multiple

This class treats basic matters of multiples.

• PHP:

• Result:

• Methods:

  Method	Detail
  leastCommonMultiple(int $n1, int $n2)	returns the least common multiple of the params

5.5. Macocci7\PhpMathInteger\Euclid

This class treats basic matters of Euclidean Algorithm.

• PHP:

• Result:

• Methods:

  Method	Detail
  run(int $n1, int $n2)	runs the Euclidean Algorithm and returns the result as an array
  gcd(int $a, int $b)	returns the greatest common divisor of the params
  isGcdOf(int $c, int $a, int $b)	judges if the first param is gcd of the other params or not
  isCoprime(int $a, int $b)	judges if the params are coprime or not

5.6. Macocci7\PhpMathInteger\Fraction

This class treats basic matters of common fractions.

• PHP:

• Result:

• Methods:

  Method	Detail
  set(string $s)	sets the properties of the fraction specified by the param
  isReduced()	judges if the fraction is reduced or not
  isProper()	judges if the fraction is a proper fraction or not
  isImproper()	judges if the fraction is a improper fraction or not
  isMixed()	judges if the fraction is a mixed fraction or not
  reduce()	reduces the fraction
  toCommonDenominator(Fraction &$f)	converts the fractions into a common denominator
  add(Fraction $f)	adds the param to the fraction
  substract(Fraction $f)	substracts the param from the fraction
  multiply(Fraction $f)	multiplies the fraction by the param
  divide(Fraction $f)	divide the fraction by the param
  improper()	converts the fraction into a improper fraction
  mixed()	converts the fraction into a mixed fraction
  int()	returns the value of the fraction as an integer
  float()	returns the value of the fraction as an float
  text()	returns the fraction as one-line-text

5.7. Macocci7\PhpMathInteger\Bezout

This class treats basic matters of Bezout's Identity.

• PHP:

• Result:

• Methods:

  Method	Detail
  set(array $c = [])	sets the properties of a Bezout's Equation from the param
  clear()	clears the properties of the Bezout's Equation
  equation()	returns the Bezout's Equation as one-line-text
  isSolvable()	judges if the Bezout's Equation is solvable or not
  solution()	returns a set of solution as an array
  generalSolution()	returns the general solution as an array

6. Examples

• UseNumber.txt
• UsePrime.txt
• UseDivisor.txt
• UseMultiple.txt
• UseFraction.txt
• UseEuclid.txt
• UseBezout.txt

7. LICENSE

MIT

Copyright 2023 - 2025 macocci7.