C++ STL中的accumulate()和partial_sum():数字标头

2021年3月12日15:10:37 发表评论 1,131 次浏览

此标头是C ++ STL数字库的一部分。本文介绍了数字标头中的一些有用功能, 这些功能可在竞争性编程中使用, 以节省时间和精力。

我们通常使用线性运算找出特定范围内或整个数组中元素的总和, 这需要将范围内的所有元素一一相加, 并在每次迭代后将其存储到某个变量中。

accumulate()

此函数返回介于之间的所有值的总和[第一, 最后)与可变的总和。

  1. 语法1:
    accumulate(first, last, sum);
    first, last : first and last elements of range 
                  whose elements are to be added
    sum :  initial value of the sum
    
  2. 语法2:此函数返回位于[first, last)与变量sum之间的所有值的和。
    accumulate(first, last, sum, myfun); 
    myfun : a function for performing any 
            specific task. For example, we can
            find product of elements between
            first and last.
    
// C++ program to demonstrate working of accumulate()
#include <iostream> 
#include <numeric>   
using namespace std;
  
// User defined function
int myfun( int x, int y) 
{
     // for this example we have taken product 
     // of adjacent numbers
     return x * y ;
}
  
int main() 
{
     // Initialize sum = 1 
     int sum = 1;
     int a[] = {5 , 10 , 15} ;
      
     // Simple default accumulate function
     cout << "\nResult using accumulate: " ;
     cout << accumulate(a , a+3 , sum);
      
     // Using accumulate function with
     // defined function
     cout << "\nResult using accumulate with"
              "user-defined function: " ;
     cout << accumulate(a, a+3, sum, myfun);
     
     // Using accumulate function with
     // pre-defined function 
     cout << "\nResult using accumulate with "
             "pre-defined function: " ;
     cout << accumulate(a, a+3, sum, std::minus< int >());
      
     return 0;
}

输出如下:

Result using accumulate: 31
Result using accumulate with user-defined function: 750
Result using accumulate with pre-defined function: -29

一个示例问题:第k1至第k2个最小元素之间的所有元素的总和

partial_sum()

此函数将数组对应元素的部分和分配给第二个数组的每个位置, 并返回介于两个元素之间的所有值的部分和

[第一, 最后)

并将其存储在另一个数组中b。

例如, 如果x表示[first, last)中的元素, 而y表示结果中的元素, 则ys可计算为:

y0 = x0 
y1 = x0 + x1 
y2 = x0 + x1 + x2 
y3 = x0 + x1 + x2 + x3 
y4 = x0 + x1 + x2 + x3 + x4

句法 :

partial_sum(first, last, b);
partial_sum(first, last, b, myfun);
first, last : first and last element of range 
              whose elements are to be added
b : index of array where  corresponding partial 
    sum will be stored;
myfun : a user defined function for performing 
        any specific task
// C++ program to demonstrate working of accumulate()
#include <iostream> 
#include <numeric>   
using namespace std;
  
//user defined function
int myfun( int x, int y)
{
     // the sum of element is twice of its 
     // adjacent element
     return x + 2 * y;
}
  
int main () 
{
     int a[] = {1, 2, 3, 4, 5} ;
     int b[5];
      
     // Default function
     partial_sum(a , a+5 , b);
  
     cout << "Partial Sum - Using Default function: " ;
     for ( int i=0; i<5; i++)
         cout << b[i] << ' ' ;
     cout << '\n' ;
      
     // Using user defined function
     partial_sum(a , a+5 , b , myfun) ;
  
     cout << "Partial sum - Using user defined function: " ;
     for ( int i=0; i<5; i++)
         cout << b[i] << ' ' ;
     cout << '\n' ;
  
     return 0;
}

输出:

Partial Sum - Using Default function: 1 3 6 10 15 
Partial sum - Using user defined function: 1 5 11 19 29

如果发现任何不正确的地方, 或者想分享有关上述主题的更多信息, 请写评论。

木子山

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