| Safe Haskell | Safe-Inferred |
|---|
Calculator
Contents
Description
This module contains some commonly needed functions that makes a Haskell interpreter an ideal CS calculator. The file is at Calculator.hs.
- hex :: (Integral n, Show n) => n -> String
- oct :: (Integral n, Show n) => n -> String
- bin :: (Integral n, Show n) => n -> String
- powmod :: (Integral n, Integral e) => n -> n -> e -> n
- fiblist :: [Integer]
- fib :: (Integral b, Num a) => b -> a
- primelist :: [Integer]
- isprime :: Integer -> Bool
- euclid :: Integral a => a -> a -> (a, a, a)
- binomial :: (Integral b, Num a) => b -> [a]
- choose :: Num a => Int -> Int -> a
- ack :: (Num a, Eq a) => a -> a -> a
- cfsqrt :: Integral a => a -> [a]
Display non-negative integer in bases
Exponentiation with mod
Fibonacci numbers
The fibonacci numbers. f0 = 0, f1 = 1, f(n+2) = f(n+1) + f(n). We seem to use 0 as the starting index, but notice it is compatible with the usual 1-based definition, since f2=1.
fib :: (Integral b, Num a) => b -> aSource
An efficient recursive algorithm for computing one fibonacci number.
- f (2k+1) = (f k)^2 + (f (k+1))^2
- f (2k) = 2 * f k * f (k+1) - (f k)^2
Primes
isprime :: Integer -> BoolSource
Whether a number is prime. This looks for the number in the prime list.
Extended Euclidean algorithm
euclid :: Integral a => a -> a -> (a, a, a)Source
euclid a b performs the extended euclidean algorithm to find (d,m,n)
such that a*m+b*n = d = gcd(a,b).
Binomial coefficients, combination (nCr)
Ackermann
The horror!