The C++ Vector norm is a mathematical function that calculates the "length" or magnitude of a vector. The norm of a vector is computed as the square root of the sum of the squares of its components. A vector is an array-like data structure that can store several elements of the same type in contiguous memory locations, enabling fast and efficient processing of data.
Here are some C++ code examples using the Vector norm:
1. Example using the Euclidean norm:
#include #include #include
int main() { std::vector v {3.0, 4.0, 5.0}; double norm = 0.0;
for (auto elem : v) { norm += pow(elem, 2); }
norm = sqrt(norm);
std::cout << "The Euclidean norm of vector v is: " << norm << std::endl;
return 0; }
Output: The Euclidean norm of vector v is: 7.07107
2. Example using the Manhattan norm:
#include #include
int main() { std::vector v {3, -4, 5}; int norm = 0;
for (auto elem : v) { norm += abs(elem); }
std::cout << "The Manhattan norm of vector v is: " << norm << std::endl;
return 0; }
Output: The Manhattan norm of vector v is: 12
These code snippets are examples of using the C++ Standard Library. Specifically, the vector and math packages are utilized to implement these norms.
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