modulus

Modulus Function to Avoid Integer Overflow in C++

…衆ロ難τιáo~ 提交于 2021-02-08 07:29:55
问题 If I have 2 int or long long variables, call them a and b , and I want to compute the sum (a + b) mod p , where p is a large prime integer, how can I utilize the modulo operator in C++ to achieve the desired result? I have tried (a + b) % p , but this gives overflow sometimes, since a + b will overflow before the mod is applied. Other similar approaches I have tried seem to avoid overflow, but give an incorrect result. How can I use the modulo operator in this case to correctly compute the

Modulus Function to Avoid Integer Overflow in C++

旧时模样 提交于 2021-02-08 07:29:40
问题 If I have 2 int or long long variables, call them a and b , and I want to compute the sum (a + b) mod p , where p is a large prime integer, how can I utilize the modulo operator in C++ to achieve the desired result? I have tried (a + b) % p , but this gives overflow sometimes, since a + b will overflow before the mod is applied. Other similar approaches I have tried seem to avoid overflow, but give an incorrect result. How can I use the modulo operator in this case to correctly compute the

Check if cyclic (modulo 16) number is larger than another?

跟風遠走 提交于 2021-02-05 07:40:39
问题 I have two a cyclic integer, modulo 16, so they assume values between 0 and 15. I need to compare two numbers to determine if n_1 is greater than n_0 n_1 > n_0 Obviously, this is not exactly defined, so I define n_1 to be greater than n_0 if it is less than 8 "numbers" ahead, otherwise, it is lesser than n_0 (if not equal). I.e. if: n_0 = 0 if n_1 is between 1 and 8 (both inclusive) then n_1 is greater than n_0. n_0 = 5 if n_1 is between 6 and 15 (both inclusive) then n_1 is greater than n_0.

Check if cyclic (modulo 16) number is larger than another?

一曲冷凌霜 提交于 2021-02-05 07:39:41
问题 I have two a cyclic integer, modulo 16, so they assume values between 0 and 15. I need to compare two numbers to determine if n_1 is greater than n_0 n_1 > n_0 Obviously, this is not exactly defined, so I define n_1 to be greater than n_0 if it is less than 8 "numbers" ahead, otherwise, it is lesser than n_0 (if not equal). I.e. if: n_0 = 0 if n_1 is between 1 and 8 (both inclusive) then n_1 is greater than n_0. n_0 = 5 if n_1 is between 6 and 15 (both inclusive) then n_1 is greater than n_0.

Why does the % operator sometimes output positive and sometimes negative?

≡放荡痞女 提交于 2021-01-27 13:48:28
问题 I was working on a script in unity when i realized something odd and after I finished the script I tested my realization in a visual studio console project. class Program { static void Main(string[] args) { Console.WriteLine(-3.5 % 1); Console.WriteLine(3.5 % (-1)); } } The output was: -0.5 0.5 Shouldn't the modulus operator give me -0.5 in both cases? 回答1: Shouldn't the modulus operator give me -0.5 in both cases? Why should it? Mathematically, both 0.5 and -0.5 are correct for the both

Why does the C++ modulo operator return 0 for -1 % str.size()?

给你一囗甜甜゛ 提交于 2021-01-27 13:41:36
问题 I'm confused why the following code produces this output: #include <iostream> #include <string> using namespace std; int main() { int i = -1; string s = "abc"; int j = s.size(); int x = 1 % 3; int y = i % j; int z = i % s.size(); cout << s.size() << endl; // 3 cout << x << endl; // 1 cout << y << endl; // -1 cout << z << endl; // 0 } Why is z = 0? Does it have to do with casting? 回答1: So, stripping down your code to a minimal example, you're asking why this prints 0 : #include <iostream>