E.V.E
v2023.02.15
 
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◆ ceil

auto eve::ceil = functor<ceil_t>
inlineconstexpr

Defined in Header

#include <eve/module/core.hpp>

Callable Signatures

namespace eve
{
// Regular overload
constexpr auto ceil(value auto x) noexcept; // 1
// Lanes masking
constexpr auto ceil[conditional_expr auto c](value auto x) noexcept; // 2
constexpr auto ceil[logical_value auto m](value auto x) noexcept; // 2
// Semantic options
constexpr auto ceil[almost = tol](floating_value auto x) noexcept; // 3
constexpr auto ceil[almost](floating_value auto x) noexcept; // 4
}
Specifies that a type is a Conditional Expression.
Definition conditional.hpp:28
The concept floating_value<T> is satisfied if and only if T satisfies eve::value and the element type...
Definition value.hpp:116
The concept logical_value<T> is satisfied if and only if T satisfies eve::value and the element type ...
Definition value.hpp:132
The concept value<T> is satisfied if and only if T satisfies either eve::scalar_value or eve::simd_va...
Definition value.hpp:34
constexpr auto ceil
strict_elementwise_callable object computing the smallest integer not less than the input.
Definition ceil.hpp:94
EVE Main Namespace.
Definition abi.hpp:18

Parameters

Return value

  1. The smallest integer not less than x. The standard proposes 4 rounding modes namely: FE_TONEAREST, FE_DOWNWARD, FE_UPWARD, FE_TOWARDZERO. This function object implements the FE_UPWARD version.
  2. The operation is performed conditionnaly.
  3. almost allows a fuzzy interpretation of ceil associated to a scalar tolerance.
    • with an integral value tol: computes the ceil of the previous nth representable value in the x type.
    • with a floating value tol: computes the ceil with a tolerance tol using Hagerty's FL5 function.
  4. with no tolerance value, the call is equivalent to ceil[tolerance = 3*eps(as(x))(x)

External references

Example

// revision 0
#include <eve/module/core.hpp>
#include <iostream>
int main()
{
eve::wide wf0{0.0, 1.0, 2.0, 3.0, -1.0, -2.0, -3.0, -4.0};
eve::wide wi0{0, 1, 2, 3, -1, -2, -3, -4};
eve::wide wu0{0u, 1u, 2u, 3u, 4u, 5u, 6u, 7u};
std::cout << "<- wf0 = " << wf0 << "\n";
std::cout << "<- wi0 = " << wi0 << "\n";
std::cout << "<- wu0 = " << wu0 << "\n";
std::cout << "-> ceil(wf0) = " << eve::ceil(wf0) << "\n";
std::cout << "-> ceil[ignore_last(2)](wf0) = " << eve::ceil[eve::ignore_last(2)](wf0) << "\n";
std::cout << "-> ceil[wf0 != 0](wf0) = " << eve::ceil[wf0 != 0](wf0) << "\n";
std::cout << "-> ceil[almost](wf0) = " << eve::ceil[eve::almost](wf0) << "\n";
std::cout << "-> ceil(wu0) = " << eve::ceil(wu0) << "\n";
std::cout << "-> ceil[ignore_last(2)](wu0) = " << eve::ceil[eve::ignore_last(2)](wu0) << "\n";
std::cout << "-> ceil[wu0 != 0](wu0) = " << eve::ceil[wu0 != 0](wu0) << "\n";
std::cout << "-> ceil(wi0) = " << eve::ceil(wi0) << "\n";
std::cout << "-> ceil[ignore_last(2)](wi0) = " << eve::ceil[eve::ignore_last(2)](wi0) << "\n";
std::cout << "-> ceil[wi0 != 0](wi0) = " << eve::ceil[wi0 != 0](wi0) << "\n";
}
Conditional expression ignoring the k last lanes from a eve::simd_value.
Definition conditional.hpp:332
Wrapper for SIMD registers.
Definition wide.hpp:70