std::expint, std::expintf, std::expintl

Since C++23

Header: <cmath>

1-3) Computes the Exponential integral of num.The library provides overloads of std::expint for all cv-unqualified floating-point types as the type of the parameter num.(since C++23)

# Declarations

float expint ( float num );
double expint ( double num );
long double expint ( long double num );

(since C++17) (until C++23)

/* floating-point-type */ expint( /* floating-point-type */ num );

(since C++23)

float expintf( float num );

(since C++17)

long double expintl( long double num );

(since C++17)

Additional overloads

template< class Integer >
double expint ( Integer num );

(since C++17)

# Parameters

num: floating-point or integer value

# Notes

Implementations that do not support C++17, but support ISO 29124:2010, provide this function if STDCPP_MATH_SPEC_FUNCS is defined by the implementation to a value at least 201003L and if the user defines STDCPP_WANT_MATH_SPEC_FUNCS before including any standard library headers.

Implementations that do not support ISO 29124:2010 but support TR 19768:2007 (TR1), provide this function in the header tr1/cmath and namespace std::tr1.

An implementation of this function is also available in boost.math.

The additional overloads are not required to be provided exactly as (A). They only need to be sufficient to ensure that for their argument num of integer type, std::expint(num) has the same effect as std::expint(static_cast(num)).

# Example

#include <algorithm>
#include <cmath>
#include <iostream>
#include <vector>
 
template<int Height = 5, int BarWidth = 1, int Padding = 1, int Offset = 0, class Seq>
void draw_vbars(Seq&& s, const bool DrawMinMax = true)
{
    static_assert(0 < Height and 0 < BarWidth and 0 <= Padding and 0 <= Offset);
 
    auto cout_n = [](auto&& v, int n = 1)
    {
        while (n-- > 0)
            std::cout << v;
    };
 
    const auto [min, max] = std::minmax_element(std::cbegin(s), std::cend(s));
 
    std::vector<std::div_t> qr;
    for (typedef decltype(*std::cbegin(s)) V; V e : s)
        qr.push_back(std::div(std::lerp(V(0), 8 * Height,
                                        (e - *min) / (*max - *min)), 8));
 
    for (auto h{Height}; h-- > 0; cout_n('\n'))
    {
        cout_n(' ', Offset);
 
        for (auto dv : qr)
        {
            const auto q{dv.quot}, r{dv.rem};
            unsigned char d[]{0xe2, 0x96, 0x88, 0}; // Full Block: '█'
            q < h ? d[0] = ' ', d[1] = 0 : q == h ? d[2] -= (7 - r) : 0;
            cout_n(d, BarWidth), cout_n(' ', Padding);
        }
 
        if (DrawMinMax && Height > 1)
            Height - 1 == h ? std::cout << "┬ " << *max:
                          h ? std::cout << "│ "
                            : std::cout << "┴ " << *min;
    }
}
 
int main()
{
    std::cout << "Ei(0) = " << std::expint(0) << '\n'
              << "Ei(1) = " << std::expint(1) << '\n'
              << "Gompertz constant = " << -std::exp(1) * std::expint(-1) << '\n';
 
    std::vector<float> v;
    for (float x{1.f}; x < 8.8f; x += 0.3565f)
        v.push_back(std::expint(x));
    draw_vbars<9, 1, 1>(v);
}