Class NumberTheory
Buy me a cup of coffee via donation

or support me purchasing the license via ORDER Page , or INFIMA online store

java.lang.Object
org.mariuszgromada.math.mxparser.mathcollection.NumberTheory
NumberTheory - summation / products etc...
- Version:
- 6.1.0
- Author:
- Mariusz Gromada
MathParser.org - mXparser project page
mXparser on GitHub
INFIMA place to purchase a commercial MathParser.org-mXparser software license
info@mathparser.org
ScalarMath.org - a powerful math engine and math scripting language
Scalar Lite
Scalar Pro
MathSpace.pl
Buy me a cup of coffee via donation

or support me purchasing the license via ORDER Page , or INFIMA online store

-
Field Summary
Fields -
Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionstatic double
argmax
(double... numbers) Arg-Max function.static double
argmin
(double... numbers) Arg-Min function.static String
convDecimal2OthBase
(double decimalNumber, int numeralSystemBase) Decimal number to other numeral system conversion with base between 1 and 36.static String
convDecimal2OthBase
(double decimalNumber, int numeralSystemBase, int format) Decimal number to other numeral system conversion with base between 1 and 36.static double
convOthBase2Decimal
(double[] baseAndDigits) Other base to decimal conversion.static double
convOthBase2Decimal
(double numeralSystemBase, double... digits) Other base to decimal conversion.static double
convOthBase2Decimal
(int[] baseAndDigits) Other base to decimal conversion.static double
convOthBase2Decimal
(int numeralSystemBase, int... digits) Other base to decimal conversion.static double
convOthBase2Decimal
(String numberLiteral) Other base (base between 1 and 36) number literal conversion to decimal number.static double
convOthBase2Decimal
(String numberLiteral, int numeralSystemBase) Other base (base between 1 and 36) number literal conversion to decimal number.static double
digitAtPosition
(double number, double position) Digit at position - numeral system with base 10static double
digitAtPosition
(double number, double position, double numeralSystemBase) Digit at position - numeral system with given basestatic int
digitAtPosition
(long number, int position) Digit at position - numeral system with base 10static int
digitAtPosition
(long number, int position, int numeralSystemBase) Digit at position - numeral system with given basestatic char
digitChar
(int digitIndex) Character representing digit for numeral systems with base between 1 and 36.static int
digitIndex
(char digitChar) Digit index based on digit character for numeral systems with base between 1 and 36.static String
fractionToString
(double[] fraction) Converts array representing fraction to fraction string representation.static double
gcd
(double... numbers) Greatest common divisor (GCD)static double
gcd
(double a, double b) Greatest common divisor (GCD)static long
gcd
(long... numbers) Greatest common divisor (GCD)static long
gcd
(long a, long b) Greatest common divisor (GCD)static double[][]
getDistValues
(double[] array, boolean returnOrderByDescFreqAndAscOrigPos) Returns list of distinct values found in a given array.static int
getNumeralSystemBase
(String numberLiteral) Recognition of numeral system base in which number literal represents number.static long
Gets initial search size used by the toFraction methodstatic double
lcm
(double... numbers) Latest common multiply (LCM)static double
lcm
(double a, double b) Latest common multiply (LCM)static long
lcm
(long... numbers) Latest common multiply (LCM)static long
lcm
(long a, long b) Latest common multiply (LCM)static double
max
(double... numbers) Maximum function.static double
max
(double a, double b) Maximum function.static double
max
(Expression f, Argument index, double from, double to, double delta) Maximum value - iterative operator.static double
min
(double... numbers) Minimum function.static double
min
(double a, double b) Minimum function.static double
min
(Expression f, Argument index, double from, double to, double delta) Minimum value - iterative operator.static double
numberOfDigits
(double number) Number of digits needed to represent given number in base 10 numeral system.static double
numberOfDigits
(double number, double numeralSystemBase) Number of digits needed to represent given number (its integer part) in numeral system with given base.static int
numberOfDigits
(long number) Number of digits needed to represent given number in base 10 numeral system.static long
numberOfDigits
(long number, long numeralSystemBase) Number of digits needed to represent given number in numeral system with given base.static double
numberOfDistValues
(double... numbers) Returns number of unique values found the list of numbersstatic double
numberOfPrimeFactors
(double number) Prime decomposition (prime factorization) - returns number of distinct prime factorsstatic double
piProduct
(Expression f, Argument index, double from, double to, double delta) Product operatorstatic double
primeCount
(double n) Prime counting functionstatic long
primeCount
(long n) Prime counting functionstatic double
primeFactorExponent
(double number, double id) Prime decomposition (prime factorization) - returns prime factor exponentstatic double[]
primeFactors
(double number) Prime decomposition (prime factorization)static long[]
primeFactors
(long number) Prime decomposition (prime factorization)static double
primeFactorValue
(double number, double id) Prime decomposition (prime factorization) - returns prime factor valuestatic double
primeTest
(double n) Prime teststatic boolean
primeTest
(long n) Prime teststatic double
prod
(double... numbers) Numbers multiplication.static void
setToFractionInitSearchSize
(long n) Sets initial search size for the toFraction methodstatic double
sigmaSummation
(Expression f, Argument index, double from, double to, double delta) Summation operator (SIGMA FROM i = a, to b, f(i) by deltastatic int[]
sortAsc
(double[] array) Array sort - ascending - quick sort algorithm.static double
sum
(double... numbers) Adding numbers.static double[]
toFraction
(double value) Converts double value to its fraction representation.static String
toFractionString
(double value) Converts number to its fraction string representation.static double[]
toMixedFraction
(double value) Converts double value to its mixed fraction representation.static String
toMixedFractionString
(double value) Converts number to its mixed fraction string representation.
-
Field Details
-
DEFAULT_TO_FRACTION_INIT_SEARCH_SIZE
public static final long DEFAULT_TO_FRACTION_INIT_SEARCH_SIZE- See Also:
-
-
Constructor Details
-
NumberTheory
public NumberTheory()
-
-
Method Details
-
setToFractionInitSearchSize
public static void setToFractionInitSearchSize(long n) Sets initial search size for the toFraction method- Parameters:
n
- initial search size, has to be non-zero positive.- See Also:
-
getToFractionInitSearchSize
public static long getToFractionInitSearchSize()Gets initial search size used by the toFraction method- Returns:
- initial search size used by the toFraction method
- See Also:
-
min
public static double min(double a, double b) Minimum function.- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- if a,b <> Double.NaN returns Math.min(a, b), otherwise returns Double.NaN.
-
min
public static double min(double... numbers) Minimum function.- Parameters:
numbers
- the a function parameter- Returns:
- if each number form numbers <> Double.NaN returns the smallest number, otherwise returns Double.NaN.
-
argmin
public static double argmin(double... numbers) Arg-Min function.- Parameters:
numbers
- the a function parameter- Returns:
- Returns the index of the first smallest number, otherwise returns Double.NaN.
-
max
public static double max(double a, double b) Maximum function.- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- if a,b <> Double.NaN returns Math.max(a, b), otherwise returns Double.NaN.
-
max
public static double max(double... numbers) Maximum function.- Parameters:
numbers
- the a function parameter- Returns:
- if each number form numbers <> Double.NaN returns the highest number, otherwise returns Double.NaN.
-
argmax
public static double argmax(double... numbers) Arg-Max function.- Parameters:
numbers
- the a function parameter- Returns:
- Returns the index of the first biggest number, otherwise returns Double.NaN.
-
sortAsc
public static int[] sortAsc(double[] array) Array sort - ascending - quick sort algorithm.- Parameters:
array
- Array to be sorted- Returns:
- Sorts array and additionally returns initial ordering swapped according to sort order.
-
getDistValues
public static double[][] getDistValues(double[] array, boolean returnOrderByDescFreqAndAscOrigPos) Returns list of distinct values found in a given array.- Parameters:
array
- The arrayreturnOrderByDescFreqAndAscOrigPos
- Indicator whether to apply final ordering based on descending value frequency and ascending initial position.- Returns:
- List of values in the form of: first index - value index, second index: 0 - value, 1 - value count, 2 - minimal value position in original array
-
numberOfDistValues
public static double numberOfDistValues(double... numbers) Returns number of unique values found the list of numbers- Parameters:
numbers
- The list of numbers- Returns:
- Number of unique values. If list is null or any Double.NaN is found then Double.NaN is returned.
-
gcd
public static long gcd(long a, long b) Greatest common divisor (GCD)- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- GCD(a,b)
-
gcd
public static double gcd(double a, double b) Greatest common divisor (GCD)- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- if a, b <> Double.NaN returns gcd( (int)Math.round(a),(int)Math.round(b) ), otherwise returns Double.NaN.
-
gcd
public static long gcd(long... numbers) Greatest common divisor (GCD)- Parameters:
numbers
- the numbers- Returns:
- GCD(a_1,...,a_n) a_1,...,a_n in numbers
-
gcd
public static double gcd(double... numbers) Greatest common divisor (GCD)- Parameters:
numbers
- the numbers- Returns:
- if each number form numbers <> Double.NaN returns GCD(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
-
lcm
public static long lcm(long a, long b) Latest common multiply (LCM)- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- LCM(a,b)
-
lcm
public static double lcm(double a, double b) Latest common multiply (LCM)- Parameters:
a
- the a function parameterb
- the b function parameter- Returns:
- if a, b <> Double.NaN returns lcm( (int)Math.round(a), (int)Math.round(b) ), otherwise returns Double.NaN.
-
lcm
public static long lcm(long... numbers) Latest common multiply (LCM)- Parameters:
numbers
- the numbers- Returns:
- LCM(a_1,...,a_n) a_1,...,a_n in numbers
-
lcm
public static double lcm(double... numbers) Latest common multiply (LCM)- Parameters:
numbers
- the numbers- Returns:
- if each number form numbers <> Double.NaN returns LCM(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
-
sum
public static double sum(double... numbers) Adding numbers.- Parameters:
numbers
- the numbers- Returns:
- if each number from numbers <> Double.NaN returns sum(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
-
prod
public static double prod(double... numbers) Numbers multiplication.- Parameters:
numbers
- the numbers- Returns:
- if each number from numbers <> Double.NaN returns prod(a_1,...,a_n) a_1,...,a_n in numbers, otherwise returns Double.NaN.
-
primeTest
public static boolean primeTest(long n) Prime test- Parameters:
n
- The number to be tested.- Returns:
- true if number is prime, otherwise false
-
primeTest
public static double primeTest(double n) Prime test- Parameters:
n
- The number to be tested.- Returns:
- true if number is prime, otherwise false
-
primeCount
public static long primeCount(long n) Prime counting function- Parameters:
n
- number- Returns:
- Number of primes below or equal x
-
primeCount
public static double primeCount(double n) Prime counting function- Parameters:
n
- number- Returns:
- Number of primes below or equal x
-
sigmaSummation
public static double sigmaSummation(Expression f, Argument index, double from, double to, double delta) Summation operator (SIGMA FROM i = a, to b, f(i) by delta- Parameters:
f
- the expressionindex
- the name of index argumentfrom
- FROM index = formto
- TO index = todelta
- BY delta- Returns:
- summation operation (for empty summation operations returns 0).
-
piProduct
Product operator- Parameters:
f
- the expressionindex
- the name of index argumentfrom
- FROM index = formto
- TO index = todelta
- BY delta- Returns:
- product operation (for empty product operations returns 1).
- See Also:
-
min
Minimum value - iterative operator.- Parameters:
f
- the expressionindex
- the name of index argumentfrom
- FROM index = formto
- TO index = todelta
- BY delta- Returns:
- product operation (for empty product operations returns 1).
- See Also:
-
max
Maximum value - iterative operator.- Parameters:
f
- the expressionindex
- the name of index argumentfrom
- FROM index = formto
- TO index = todelta
- BY delta- Returns:
- product operation (for empty product operations returns 1).
- See Also:
-
digitIndex
public static int digitIndex(char digitChar) Digit index based on digit character for numeral systems with base between 1 and 36.- Parameters:
digitChar
- Digit character (lower or upper case) representing digit in numeral systems with base between 1 and 36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z- Returns:
- Returns digit index if digit char was recognized, otherwise returns -1.
-
digitChar
public static char digitChar(int digitIndex) Character representing digit for numeral systems with base between 1 and 36.- Parameters:
digitIndex
- Digit index between 0 and 35- Returns:
- Digit character representing digit for numeral systems with base between 1 and 36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z. If digit index is put of range '?' is returned.
-
getNumeralSystemBase
Recognition of numeral system base in which number literal represents number. Examples: 2 for b2.1001 or b.1001, 1 for b1.111, 23 for b23.123afg 16 for b16.123acdf or h.123acdf.- Parameters:
numberLiteral
- Number literal string. Base format: b1. b2. b. b3. b4. b5. b6. b7. b8. o. b9. b10. b11. b12. b13. b14. b15. b16. h. b17. b18. b19. b20. b21. b22. b23. b24. b25. b26. b27. b28. b29. b30. b31. b32. b33. b34. b35. b36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z- Returns:
- If number literal fits numeral system definition then numeral system base is returned (base between 1 and 36), otherwise -1 is returned.
-
convOthBase2Decimal
Other base (base between 1 and 36) number literal conversion to decimal number.- Parameters:
numberLiteral
- Number literal in given numeral system with base between 1 and 36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:ZnumeralSystemBase
- Numeral system base, between 1 and 36- Returns:
- Decimal number after conversion. If conversion was not possible the Double.NaN is returned.
-
convOthBase2Decimal
Other base (base between 1 and 36) number literal conversion to decimal number. Base specification included in number literal. Examples: 2 for b2.1001 or b.1001, 1 for b1.111, 23 for b23.123afg 16 for b16.123acdf or h.123acdf.- Parameters:
numberLiteral
- Number literal string. Base format: b1. b2. b. b3. b4. b5. b6. b7. b8. o. b9. b10. b11. b12. b13. b14. b15. b16. h. b17. b18. b19. b20. b21. b22. b23. b24. b25. b26. b27. b28. b29. b30. b31. b32. b33. b34. b35. b36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z- Returns:
- Decimal number after conversion. If conversion was not possible the Double.NaN is returned.
-
convOthBase2Decimal
public static double convOthBase2Decimal(int numeralSystemBase, int... digits) Other base to decimal conversion.- Parameters:
numeralSystemBase
- Numeral system base has to be above 0.digits
- List of digits- Returns:
- Number after conversion. If conversion is not possible then Double.NaN is returned.
-
convOthBase2Decimal
public static double convOthBase2Decimal(double numeralSystemBase, double... digits) Other base to decimal conversion.- Parameters:
numeralSystemBase
- Numeral system base has to be above 0.digits
- List of digits- Returns:
- Number after conversion. If conversion is not possible then Double.NaN is returned.
-
convOthBase2Decimal
public static double convOthBase2Decimal(int[] baseAndDigits) Other base to decimal conversion.- Parameters:
baseAndDigits
- Numeral system base and digits specification. Numeral system base is placed at index 0, rest of array is interpreted as digits. Numeral system base has to be above 0.- Returns:
- Number after conversion. If conversion is not possible then Double.NaN is returned.
-
convOthBase2Decimal
public static double convOthBase2Decimal(double[] baseAndDigits) Other base to decimal conversion.- Parameters:
baseAndDigits
- Numeral system base and digits specification. Numeral system base is placed at index 0, rest of array is interpreted as digits. Numeral system base has to be above 0.- Returns:
- Number after conversion. If conversion is not possible then Double.NaN is returned.
-
convDecimal2OthBase
Decimal number to other numeral system conversion with base between 1 and 36.- Parameters:
decimalNumber
- Decimal numbernumeralSystemBase
- Numeral system base between 1 and 36- Returns:
- Number literal representing decimal number in given numeral system. Digits 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z. If conversion was not possible the "NaN" string is returned.
-
convDecimal2OthBase
Decimal number to other numeral system conversion with base between 1 and 36.- Parameters:
decimalNumber
- Decimal numbernumeralSystemBase
- Numeral system base between 1 and 36format
- If 1 then always bxx. is used, i.e. b1. or b16. If 2 then for binary b. is used, for octal o. is used, for hexadecimal h. is used, otherwise bxx. is used where xx is the numeral system base specification.- Returns:
- Number literal representing decimal number in given numeral system. Base format: b1. b2. b. b3. b4. b5. b6. b7. b8. o. b9. b10. b11. b12. b13. b14. b15. b16. h. b17. b18. b19. b20. b21. b22. b23. b24. b25. b26. b27. b28. b29. b30. b31. b32. b33. b34. b35. b36. Digits: 0:0, 1:1, 2:2, 3:3, 4:4, 5:5, 6:6, 7:7, 8:8, 9:9, 10:A, 11:B, 12:C, 13:D, 14:E, 15:F, 16:G, 17:H, 18:I, 19:J, 20:K, 21:L, 22:M, 23:N, 24:O, 25:P, 26:Q, 27:R, 28:S, 29:T, 30:U, 31:V, 32:W, 33:X, 34:Y, 35:Z If conversion was not possible the "NaN" string is returned.
-
numberOfDigits
public static int numberOfDigits(long number) Number of digits needed to represent given number in base 10 numeral system.- Parameters:
number
- The number- Returns:
- Number of digits needed to represent given number in base 10 numeral system.
-
numberOfDigits
public static double numberOfDigits(double number) Number of digits needed to represent given number in base 10 numeral system.- Parameters:
number
- The number- Returns:
- Number of digits needed to represent given number in base 10 numeral system. If number is NaN the NaN is returned. If number is infinite then Double.POSITIVE_INFINITY is returned.
-
numberOfDigits
public static long numberOfDigits(long number, long numeralSystemBase) Number of digits needed to represent given number in numeral system with given base.- Parameters:
number
- The numbernumeralSystemBase
- Numeral system base above 0- Returns:
- Returns number of digits. In case when numeralSystemBase is lower than 1 then -1 is returned.
-
numberOfDigits
public static double numberOfDigits(double number, double numeralSystemBase) Number of digits needed to represent given number (its integer part) in numeral system with given base.- Parameters:
number
- The numbernumeralSystemBase
- Numeral system base above 0- Returns:
- Returns number of digits. In case when numeralSystemBase is lower than 1 then Double.NaN is returned. If number or numeralSystemBase is Double.NaN then Double.NaN is returned. If numeralSystemBase is infinite then Double.NaN is returned.
-
digitAtPosition
public static int digitAtPosition(long number, int position, int numeralSystemBase) Digit at position - numeral system with given base- Parameters:
number
- The numberposition
- Position from 1 ... n (left to right) or from 0 ... -(n-1) (right to left).numeralSystemBase
- Base of numeral system - above 0- Returns:
- Return digit at given position. If digit finding was not possible then -1 is returned.
-
digitAtPosition
public static int digitAtPosition(long number, int position) Digit at position - numeral system with base 10- Parameters:
number
- The numberposition
- Position from 1 ... n (left to right) or from 0 ... -(n-1) (right to left).- Returns:
- Return digit at given position. If digit finding was not possible then -1 is returned.
-
digitAtPosition
public static double digitAtPosition(double number, double position, double numeralSystemBase) Digit at position - numeral system with given base- Parameters:
number
- The numberposition
- Position from 1 ... n (left to right) or from 0 ... -(n-1) (right to left).numeralSystemBase
- Base of numeral system - above 0- Returns:
- Return digit at given position. If digit finding was not possible then Double.NaN is returned.
-
digitAtPosition
public static double digitAtPosition(double number, double position) Digit at position - numeral system with base 10- Parameters:
number
- The numberposition
- Position from 1 ... n (left to right) or from 0 ... -(n-1) (right to left).- Returns:
- Return digit at given position. If digit finding was not possible then Double.NaN is returned.
-
primeFactors
public static long[] primeFactors(long number) Prime decomposition (prime factorization)- Parameters:
number
- Number to be decomposed- Returns:
- List of prime factors (non-distinct)
-
primeFactors
public static double[] primeFactors(double number) Prime decomposition (prime factorization)- Parameters:
number
- Number to be decomposed- Returns:
- List of prime factors (non-distinct)
-
numberOfPrimeFactors
public static double numberOfPrimeFactors(double number) Prime decomposition (prime factorization) - returns number of distinct prime factors- Parameters:
number
- Number to be decomposed- Returns:
- Number of distinct prime factors
-
primeFactorValue
public static double primeFactorValue(double number, double id) Prime decomposition (prime factorization) - returns prime factor value- Parameters:
number
- Number to be decomposedid
- Factor id- Returns:
- Factor value if factor id between 1 and numberOfPrimeFactors, otherwise 1 is returned. For NaN of infinite parameters Double NaN is returned. For number eq 0 Double.NaN is returned.
-
primeFactorExponent
public static double primeFactorExponent(double number, double id) Prime decomposition (prime factorization) - returns prime factor exponent- Parameters:
number
- Number to be decomposedid
- Factor id- Returns:
- Factor exponent if factor id between 1 and numberOfPrimeFactors, otherwise 0 is returned. For NaN of infinite parameters Double NaN is returned. For number eq 0 Double.NaN is returned.
-
toFraction
public static double[] toFraction(double value) Converts double value to its fraction representation.- Parameters:
value
- Value to be converted- Returns:
- Array representing fraction. Sign at index 0, numerator at index 1, denominator at index 2. If conversion is not possible then Double.NaN is assigned to all the fields.
-
toMixedFraction
public static double[] toMixedFraction(double value) Converts double value to its mixed fraction representation.- Parameters:
value
- Value to be converted- Returns:
- Array representing fraction. Sign at index 0, whole number at index 1, numerator at index 2, denominator at index 3. If conversion is not possible then Double.NaN is assigned to both numerator and denominator.
-
fractionToString
Converts array representing fraction to fraction string representation.- Parameters:
fraction
- Array representing fraction (including mix fractions)- Returns:
- String representation of fraction.
- See Also:
-
toFractionString
Converts number to its fraction string representation.- Parameters:
value
- Given number- Returns:
- String representation of fraction.
- See Also:
-
toMixedFractionString
Converts number to its mixed fraction string representation.- Parameters:
value
- Given number- Returns:
- String representation of fraction.
- See Also:
-