README
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Utility package
English -> Pig Latin Translation Rules
A word with no characters is unchanged.
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If a word begins with a vowel sound, do not shift the letters. Note that "xr" and "yt" at the beginning of a word make vowel sounds (e.g. "xray" -> "xrayay", "yttria" -> "yttriaay"). Add 'way' to the end of the word.
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If a word begins with a consonant sound, move it to the end of the word. Consonant sounds can be made up of multiple consonants, such as the "ch" in "chair" or "st" in "stand" (e.g. "chair" -> "airchay"). If a word starts with a consonant sound followed by "qu", also move the 'u' to the end of the word (e.g. "square" -> "aresquay"). Add 'ay' to the end of the word.
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If a word contains a "y" after a consonant cluster or as the second letter in a two letter word the 'y' makes a vowel sound (e.g. "rhythm" -> "ythmrhay", "my" -> "ymay").
Documentation
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Index ¶
- func Convergent(n int, fn convergentSeries) (*big.Int, *big.Int)
- func Cryptoquip(w1, w2 string) (map[byte]byte, bool)
- func DigitSum(n int) (sum int)
- func DigitsToInt(digits []int) int
- func Divisors(n int) []int
- func E(n int) int64
- func Equal(a, b []int) bool
- func Factors(n int) []int
- func FactorsCounted(n int) map[int]int
- func GCD(a, b int) int
- func Harshad(n, sum int) bool
- func IntToDigits(n int) []int
- func IsAnagram(w1, w2 string) bool
- func IsCube(n int) bool
- func IsInt(n float64) bool
- func IsPalindromeInt(p []int) bool
- func IsPalindromeString(p string) bool
- func IsSquare(n int) bool
- func LCM(a, b int) int
- func MakeDigits(n int, c chan []int)
- func MulFraction(n1, d1, n2, d2 int) (int, int)
- func PascalTriangle(max int) [][]int
- func ReduceFraction(n, d int) (int, int)
- func Reverse(digits []int) []int
- func Sqrt2(n int) int64
- func SquareFree(n int) bool
- func SumFraction(n1, d1, n2, d2 int) (int, int)
- func Totient(n int) int
- func Triangular(n int) bool
Constants ¶
This section is empty.
Variables ¶
This section is empty.
Functions ¶
func Convergent ¶
Convergent returns the nth convegence of whichever series you pass in a function for.
func Cryptoquip ¶
Cryptoquip returns whether the two strings have the same relative arrangement of letters. For instance, KEEP and LOOT.
func DigitsToInt ¶
DigitsToInt converts a slice of digits to an int
func E ¶
E returns the nth number (1-based) in the convergent series of the number e [2; 1,2,1, 1,4,1, 1,6,1, ... ,1,2k,1, ...]
func FactorsCounted ¶
FactorsCounted returns a map of prime factors of n with counts of how many times each factor divides into n.
func IntToDigits ¶
IntToDigits converts an int into a slice of its component digits
func IsPalindromeInt ¶
IsPalindromeInt returns true if the digits of p are a palindrome
func IsPalindromeString ¶
IsPalindromeString returns true if the string is a palindrome
func MakeDigits ¶
MakeDigits generates all permutations of the first n digits. For example:
n=2 [1 2] [2 1] n=3 [1 2 3] [1 3 2] [2 1 3] [2 3 1] [3 1 2] [3 2 1]
func MulFraction ¶ added in v0.0.4
MulFraction returns the product of the two fractions, still in fraction form
func PascalTriangle ¶
PascalTriangle returns a triangle of the max depth specified We build the triangle left-justified. A cell is the sum of the cell above it and the cell above and to the left.
1: 1 2: 1 1 3: 1 2 1 4: 1 3 3 1 5: 1 4 6 4 1
func ReduceFraction ¶ added in v0.0.4
func Sqrt2 ¶
Sqrt2 returns the nth number (1-based) in the convergent series of the square root of 2: [2;(2)]
func SquareFree ¶
SquareFree returns true if no square of a prime divides n
func SumFraction ¶ added in v0.0.2
SumFraction returns the sum of the two fractions, still in fraction form
func Totient ¶
Totient returns how many numbers k are relatively prime to n where 1 <= k < n. Relatively prime means that they have no common divisors (other than 1). 1 is considered relatively prime to all other numbers.
From https://www.doc.ic.ac.uk/~mrh/330tutor/ch05s02.html
The general formula to compute φ(n) is the following:
If the prime factorisation of n is given by n =p1e1*...*pnen, then φ(n) = n *(1 - 1/p1)* ... (1 - 1/pn).
For example:
9 = 32, φ(9) = 9* (1-1/3) = 6
4 =22, φ(4) = 4* (1-1/2) = 2
15 = 3*5, φ(15) = 15* (1-1/3)*(1-1/5) = 15*(2/3)*(4/5) =8
Types ¶
This section is empty.
Source Files