Prime numbers implementation in Scala package zoo import org.junit.Assert._ import org.junit.Test /** * page 164 of Discrete Mathematics and Its Applications by Kenneth H. Rosen * question #6. Given a positive integer, determine whether it is prime. * * @author Mike Bochenek */ class Prime { /** * It'd be fun to more optimizations here * for example, we could stop at sqrt(x) and keep a map of primes */ def isPrime(x: Int): Boolean = { val sqrtx = x //TODO optimize: Math.sqrt(x) for (i <- 2 until sqrtx.toInt by 2) { if (sqrtx.toInt % i == 0) { return false } } return true } @Test def test4() { assertFalse(isPrime(4)); } @Test def test7() { assertTrue(isPrime(7)); } @Test def test23244() { assertFalse(isPrime(23244)); } // 23244 = 2 x 2 x 3 x 13 x 149 /** * http://en.wikipedia.org/wiki/Prime_number#Definition_and_examples */ @Test def testFromWikipedia() { val primes = Array(2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997); for (p <- primes) { assertTrue("" + p + " is in fact prime.", isPrime(p)); } } }