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c++ - Cleanest way to copy a constant size array in c++11

I often find myself wanting to copy the contents of arrays that have a constant size, I usually just write something along the lines of:

float a[4] = {0,1,2,3};
float b[4];

for(int i=0; i<4; i++){
    b[i]=a[i];
}

As of lately, I am writing a linear calculus library for educational purposes, and I was wondering if there was a better way to do it.

The first thing that came to my mind, was using memcpy:

memcpy(b, a, sizeof(float) * 4);

But this seems very c-like and error prone to me. I like having my errors at compile time, and this can get ugly for data types with non-trivial copy constructors, or if I forget to multiply with sizeof(datatype).

Since I am writing a math library that I am going to use intensively, performance is very important to me. Are the compilers today smart enough to understand that the first example is just copying a chunk of memory and optimize it to be as efficient as the second solution?

Perhaps there is a function in the standard library that can help me? Something new in c++11? Or should I just create a macro or a template function?

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If you use std::array instead of a built-in array (which you should), it becomes very simple. Copying an array is then the same as copying any other object.

std::array<float,4> a = {0,1,2,3};
std::array<float,4> b = a;

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