Austin Schuh | 0cbef62 | 2015-09-06 17:34:52 -0700 | [diff] [blame] | 1 | // Copyright 2005, Google Inc. |
| 2 | // All rights reserved. |
| 3 | // |
| 4 | // Redistribution and use in source and binary forms, with or without |
| 5 | // modification, are permitted provided that the following conditions are |
| 6 | // met: |
| 7 | // |
| 8 | // * Redistributions of source code must retain the above copyright |
| 9 | // notice, this list of conditions and the following disclaimer. |
| 10 | // * Redistributions in binary form must reproduce the above |
| 11 | // copyright notice, this list of conditions and the following disclaimer |
| 12 | // in the documentation and/or other materials provided with the |
| 13 | // distribution. |
| 14 | // * Neither the name of Google Inc. nor the names of its |
| 15 | // contributors may be used to endorse or promote products derived from |
| 16 | // this software without specific prior written permission. |
| 17 | // |
| 18 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
| 19 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
| 20 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
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| 25 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
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| 28 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 29 | |
| 30 | // A sample program demonstrating using Google C++ testing framework. |
Austin Schuh | 0cbef62 | 2015-09-06 17:34:52 -0700 | [diff] [blame] | 31 | |
| 32 | #include "sample1.h" |
| 33 | |
| 34 | // Returns n! (the factorial of n). For negative n, n! is defined to be 1. |
| 35 | int Factorial(int n) { |
| 36 | int result = 1; |
| 37 | for (int i = 1; i <= n; i++) { |
| 38 | result *= i; |
| 39 | } |
| 40 | |
| 41 | return result; |
| 42 | } |
| 43 | |
| 44 | // Returns true iff n is a prime number. |
| 45 | bool IsPrime(int n) { |
| 46 | // Trivial case 1: small numbers |
| 47 | if (n <= 1) return false; |
| 48 | |
| 49 | // Trivial case 2: even numbers |
| 50 | if (n % 2 == 0) return n == 2; |
| 51 | |
| 52 | // Now, we have that n is odd and n >= 3. |
| 53 | |
| 54 | // Try to divide n by every odd number i, starting from 3 |
| 55 | for (int i = 3; ; i += 2) { |
Austin Schuh | 889ac43 | 2018-10-29 22:57:02 -0700 | [diff] [blame^] | 56 | // We only have to try i up to the square root of n |
Austin Schuh | 0cbef62 | 2015-09-06 17:34:52 -0700 | [diff] [blame] | 57 | if (i > n/i) break; |
| 58 | |
| 59 | // Now, we have i <= n/i < n. |
| 60 | // If n is divisible by i, n is not prime. |
| 61 | if (n % i == 0) return false; |
| 62 | } |
| 63 | |
| 64 | // n has no integer factor in the range (1, n), and thus is prime. |
| 65 | return true; |
| 66 | } |