E.V.E  0.1-beta

◆ gegenbauer

eve::gegenbauer = {}
inlineconstexpr

Callable object computing the gegenbauer operation.

Required header: #include <eve/function/gegenbauer.hpp>

Members Functions

Member Effect
operator() the gegenbauer operation
operator[] Construct a conditional version of current function object

auto operator()( integral_value auto n
, floating_value auto l
, floating_value auto x) const noexcept;
Definition: value.hpp:83
Definition: value.hpp:42

Parameters

n: integral values.

l: floating values, elements must be greater than \(-\frac12\).

x: floating values.

Return value

Returns elementwise the value of the gegenbauer polynomial of order n at l, x:

The result type is of the common compatible type of the two last parameters, if necessary with the cardinal of the first.


auto operator[]( conditional_expression auto cond ) const noexcept;

Higher-order function generating a masked version of eve::gegenbauer

Parameters

cond : conditional expression

Return value

A Callable object so that the expression gegenbauer[cond](x, ...) is equivalent to if_else(cond,gegenbauer(x, ...),x)


Supported decorators

  • eve::diff, eve::diff_1st, eve::diff_nth

    Required header: #include <eve/function/diff/gegenbauer.hpp>

    The expression diff(gegenbauer)(n,l,x) computes the derivative of the function relative to x.

Example

See it live on Compiler Explorer

#include <eve/function/gegenbauer.hpp>
#include <eve/wide.hpp>
#include <eve/constant/inf.hpp>
#include <eve/constant/minf.hpp>
#include <eve/constant/nan.hpp>
#include <iostream>
int main()
{
wide_ft xd = {0.5, -1.5, 0.1, -1.0, 19.0, 25.0, 21.5, 10000.0};
wide_it n = {0, 1, 2, 3, 4, 5, 6, 7};
wide_ft x(0.3);
wide_ft l(-3.0/8.0);
std::cout << "---- simd" << '\n'
<< "<- xd = " << xd << '\n'
<< "<- n = " << n << '\n'
<< "<- l = " << l << '\n'
<< "<- x = " << x << '\n'
<< "-> gegenbauer(n, l, xd) = " << eve::gegenbauer(n, l, xd) << '\n'
<< "-> gegenbauer(3, l, xd) = " << eve::gegenbauer(3, l, xd) << '\n'
<< "-> gegenbauer(n, l, 0.3) = " << eve::gegenbauer(n, l, 0.3) << '\n'
<< "-> gegenbauer(n, -3.0/8.0, 0.3) = " << eve::gegenbauer(n, -3.0/8.0, 0.3) << '\n'
<< "-> gegenbauer(n, l, x) = " << eve::gegenbauer(n, l, x) << '\n';
double xs = 3.0;
double ll = 0.1;
std::cout << "---- scalar" << '\n'
<< "<- xs = " << xs << '\n'
<< "<- ll = " << ll << '\n'
<< "-> gegenbauer(4, ll, xs) = " << eve::gegenbauer(4, ll, xs) << '\n';
return 0;
}
constexpr callable_gegenbauer_ gegenbauer
Callable object computing the gegenbauer operation.
Definition: gegenbauer.hpp:87
Wrapper for SIMD registers.
Definition: wide.hpp:65