algebra

func Convergent ¶

func Convergent(n int, fn convergentSeries) (*big.Int, *big.Int)

Convergent returns the nth convegence of whichever series you pass in a function for

func DigitSum ¶

func DigitSum(n int) int

DigitSum returns the sum of the digits in the number

func DigitsToInt ¶

func DigitsToInt(digits []int) int

DigitsToInt converts a slice of digits to an int

func Divisors ¶

func Divisors(n int) []int

Divisors returns a sorted list of all positive divisors of n

func E ¶

func E(n int) int64

E returns the nth number (1-based) in the convergent series of e

func EqualIntSlice ¶

func EqualIntSlice(a, b []int) bool

EqualIntSlice returns true if the two slices have identical contents

func Factors ¶

func Factors(n int) []int

Factors returns a sorted list of the unique prime factors of n (excluding n)

func FactorsCounted ¶

func FactorsCounted(n int) map[int]int

FactorsCounted returns counts of how many times each factor divides into n

func GCD ¶

func GCD(a, b int) int

GCD returns the greatest common divisor of a and b

func Harshad ¶

func Harshad(n int) bool

Harshad returns true if n is divisible by the sum of its digits

func IntToDigits ¶

func IntToDigits(n int) []int

IntToDigits converts an int into a slice of its component digits

func IsCube ¶

func IsCube(n int) bool

IsCube returns true if n is a cube number

func IsInt ¶

func IsInt(n float64) bool

IsInt returns true if n is an integer

func IsSquare ¶

func IsSquare(n int) bool

IsSquare returns true if n is a square number

func LCM ¶

func LCM(a, b int) int

LCM returns the least common multiple of a and b

func MulFraction ¶

func MulFraction(n1, d1, n2, d2 int) (int, int)

MulFraction returns the product of the two fractions, still in fraction form

func NextSquare ¶

func NextSquare(n uint) (uint, uint)

NextSquare returns the next highest square and its square root

func PascalTriangle ¶

func PascalTriangle(max int) [][]int

PascalTriangle returns a triangle of the max depth specified

func ReduceFraction ¶

func ReduceFraction(n, d int) (int, int)

func Reverse ¶

func Reverse(digits []int) []int

Reverse reverses the order of the elements in a slice

func Sqrt2 ¶

func Sqrt2(n int) int64

Sqrt2 returns the nth number (1-based) in the convergent series of root 2

func SquareFree ¶

func SquareFree(n int) bool

SquareFree returns true if no square of a prime divides n

func SumFraction ¶

func SumFraction(n1, d1, n2, d2 int) (int, int)

SumFraction returns the sum of the two fractions, still in fraction form

func Totient ¶

func Totient(n int) int

Totient returns how many numbers k are relatively prime to n