E.V.E
v2022.09.01

◆ is_less_equal

eve::is_less_equal = {}
inlineconstexpr

Returns a logical true if and only if the element value of the first parameter is less or equal to the second one.

Defined in Header

#include <eve/module/core.hpp>

Callable Signatures

namespace eve
{
template< eve::value T, eve::value U >
eve::as_logical<T> is_less_equal(T x,U y) noexcept;
}
constexpr callable_is_less_equal_ is_less_equal
Returns a logical true if and only if the element value of the first parameter is less or equal to th...
Definition: is_less_equal.hpp:80
Definition: all_of.hpp:22

Parameters

Return value

The call eve::is_less_equal(x,y) is semantically equivalent to x >= y:

Example

#include <eve/module/core.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {0.0f, 1.0f, -1.0f, -2.0f};
wide_ft qf = {1.0f, -1.0f, 0.0f, -2.0f};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "<- qf = " << qf << '\n'
<< "-> is_less(pf, qf) = " << eve::is_less(pf, qf) << '\n';
float xf = 1.0f;
float yf = 2.0f;
std::cout << "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "<- yf = " << yf << '\n'
<< "-> is_less(xf, yf) = " << eve::is_less(xf, yf) << '\n';
return 0;
}
constexpr callable_is_less_ is_less
Returns a logical true if and only if the element value of the first parameter is less than the secon...
Definition: is_less.hpp:81
Wrapper for SIMD registers.
Definition: wide.hpp:65

Semantic Modifiers

  • Masked Call

    The call eve;is_less_equal[mask](x,y) provides a masked version of eve::is_less_equal which is equivalent to if_else (mask, is_less_equal(x), eve::false( eve::as(x,y))).

    Example

    #include <eve/module/core.hpp>
    #include <eve/wide.hpp>
    #include <iostream>
    int main()
    {
    wide_ft pf = {0.0f, 1.0f, -1.0f, 2.0f};
    wide_ft qf = {1.0f, -1.0f, 0.0f, 3.0f};
    std::cout << "---- simd" << '\n'
    << "<- pf = " << pf << '\n'
    << "<- qf = " << qf << '\n'
    << "-> is_less[pf > 0](pf, qf) = " << eve::is_less[pf > 0](pf, qf) << '\n';
    return 0;
    }

almost

The expression definitely(is_less_equal)(x, y, t) where x and y must be floating point values, evals to true if and only if x is almost less than y. This means that:

  • if t is a floating_value then \(x < y + t \max(|x|, |y|)\)
  • if t is a positive integral_value then \(x < \mbox{next}(y, t)\);
  • if t is omitted then the tolerance t default to 3*eps(as(x)).

Example

#include <eve/module/core.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {0.0f, 1.0f, -1.0f, 2.0f};
wide_ft qf = {1.0f, -1.0f, 0.0f, 3.0f};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "<- qf = " << qf << '\n'
<< "-> almost(is_less_equal)(pf, qf) = " << eve::almost(eve::is_less_equal)(pf, qf) << '\n';
return 0;
}
constexpr almost_type const almost
Higher-order Callable Object imbuing a tolerant to little errors semantic onto other Callable Objects...
Definition: fuzzy.hpp:58

Defined in Header

#include <eve/module/core.hpp>

Callable Signatures

namespace eve
{
template< eve::value T, eve::value U >
eve::as_logical<T> is_less_equal(T x,U y) noexcept;
}

Parameters

Return value

The call eve::is_less_equal(x,y) is semantically equivalent to !(x <= y):

Example

#include <eve/module/core.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {0.0f, 1.0f, -1.0f, -2.0f};
wide_ft qf = {1.0f, -1.0f, 0.0f, -2.0f};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
<< "<- qf = " << qf << '\n'
<< "-> is_less(pf, qf) = " << eve::is_less(pf, qf) << '\n';
float xf = 1.0f;
float yf = 2.0f;
std::cout << "---- scalar" << '\n'
<< "<- xf = " << xf << '\n'
<< "<- yf = " << yf << '\n'
<< "-> is_less(xf, yf) = " << eve::is_less(xf, yf) << '\n';
return 0;
}

Semantic Modifiers

  • Masked Call

    The call eve;is_less_equal[mask](x,y) provides a masked version of eve::is_less_equal which is equivalent to if_else (mask, is_less_equal(x), eve::false( eve::as(x,y))).

    Example

    #include <eve/module/core.hpp>
    #include <eve/wide.hpp>
    #include <iostream>
    int main()
    {
    wide_ft pf = {0.0f, 1.0f, -1.0f, 2.0f};
    wide_ft qf = {1.0f, -1.0f, 0.0f, 3.0f};
    std::cout << "---- simd" << '\n'
    << "<- pf = " << pf << '\n'
    << "<- qf = " << qf << '\n'
    << "-> is_less[pf > 0](pf, qf) = " << eve::is_less[pf > 0](pf, qf) << '\n';
    return 0;
    }

definitely

The expression `definitely(is_not_less_equal)(x, y, t)` where `x` and `y` must be
 floating point values, evals to true if and only if and only if `x` is definitely not less
 or equal to `y`. This means that the pair `x, y` is unordered or:

 * if `t` is a floating_value then  \f$(x \ge y + t \max(|x|, |y|))\f$
 * if `t` is a positive integral_value then \f$(x \ge \mbox{next}(y, t)\f$;
 * if `t` is omitted then the tolerance `t` default to `3*eps(as(x))`.

 **Example**

    @include doc/core/fuzzy/is_less_equal.cpp