| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | //====================================================================================================================== | ||
| 2 | /* | ||
| 3 | POLYFLOAT - Extended precision floating points | ||
| 4 | Copyright : POLYFLOAT Contributors & Maintainers | ||
| 5 | SPDX-License-Identifier: BSL-1.0 | ||
| 6 | */ | ||
| 7 | //====================================================================================================================== | ||
| 8 | #pragma once | ||
| 9 | |||
| 10 | #include <polyfloat/details/callable.hpp> | ||
| 11 | #include <polyfloat/types/concepts.hpp> | ||
| 12 | #include <polyfloat/types/traits.hpp> | ||
| 13 | #include <type_traits> | ||
| 14 | #include <polyfloat/module/core/if_else.hpp> | ||
| 15 | #include <polyfloat/module/core/is_not_finite.hpp> | ||
| 16 | #include <polyfloat/details/inner_fma.hpp> | ||
| 17 | |||
| 18 | namespace plf | ||
| 19 | { | ||
| 20 | |||
| 21 | template<typename Options> | ||
| 22 | struct two_prod_t : eve::strict_tuple_callable<two_prod_t, Options, raw_option, pedantic_option> | ||
| 23 | { | ||
| 24 | template<concepts::polyfloat_like T> | ||
| 25 | 4 | POLYFLOAT_ABI typename eve::zipped<T, T> constexpr operator()(T t0, T t1) const noexcept | |
| 26 | { | ||
| 27 | 4 | return POLYFLOAT_CALL(t0, t1); | |
| 28 | } | ||
| 29 | |||
| 30 | 4 | POLYFLOAT_CALLABLE_OBJECT(two_prod_t, two_prod_); | |
| 31 | }; | ||
| 32 | //================================================================================================ | ||
| 33 | //! @addtogroup core_accuracy | ||
| 34 | //! @{ | ||
| 35 | //! @var two_prod | ||
| 36 | //! @brief Computes the [elementwise](@ref glossary_elementwise) pair consisting of the | ||
| 37 | //! product and its resulting rounding error. | ||
| 38 | //! | ||
| 39 | //! @groupheader{Header file} | ||
| 40 | //! | ||
| 41 | //! @code | ||
| 42 | //! #include <eve/module/core.hpp> | ||
| 43 | //! @endcode | ||
| 44 | //! | ||
| 45 | //! @groupheader{Callable Signatures} | ||
| 46 | //! | ||
| 47 | //! @code | ||
| 48 | //! namespace eve | ||
| 49 | //! { | ||
| 50 | //! // Regular overload | ||
| 51 | //! constexpr auto two_prod( auto x, auto y) noexcept; // 1 | ||
| 52 | //! // Semantic options | ||
| 53 | //! constexpr auto two_prod[pedantic](auto x, auto y) noexcept; // 2 | ||
| 54 | //! } | ||
| 55 | //! @endcode | ||
| 56 | //! | ||
| 57 | //! **Parameters** | ||
| 58 | //! | ||
| 59 | //! * `x`, `y`: polyfloatt arguments](@ref eve::floating_value) of same dimension. | ||
| 60 | //! | ||
| 61 | //! **Return value** | ||
| 62 | //! | ||
| 63 | //! Computes [elementwise](@ref glossary_elementwise) a pair of values `[a,e]` such that: | ||
| 64 | //! * `a` is `x+y` | ||
| 65 | //! * `e` is a value such that `a`\f$\oplus\f$`e` is equal to `x`\f$\oplus\f$`y`, | ||
| 66 | //! where \f$\oplus\f$ adds its two parameters with infinite precision. | ||
| 67 | //! | ||
| 68 | //! The algorithm depends on the overload: | ||
| 69 | //! | ||
| 70 | //! 1. Classical algorithm, always valid. | ||
| 71 | //! 2. Handles overflow. | ||
| 72 | //! | ||
| 73 | //! @groupheader{External references} | ||
| 74 | //! * [On the Computation of Correctly-Rounded Sums](https://www.vinc17.net/research/papers/rr_ccrsums2.pdf) | ||
| 75 | //! | ||
| 76 | //! @groupheader{Example} | ||
| 77 | //! @godbolt_todo{doc/core/core/two_prod.cpp} | ||
| 78 | //================================================================================================ | ||
| 79 | inline constexpr auto two_prod = eve::functor<two_prod_t>; | ||
| 80 | //================================================================================================ | ||
| 81 | //! @} | ||
| 82 | //================================================================================================ | ||
| 83 | |||
| 84 | namespace _ | ||
| 85 | { | ||
| 86 | 4 | template<typename T, eve::callable_options O> constexpr auto two_prod_(POLYFLOAT_DELAY(), O const&, T a, T b) | |
| 87 | { | ||
| 88 | 4 | auto r0 = a * b; | |
| 89 | if constexpr (dimension_v<T> == 1) | ||
| 90 | { | ||
| 91 | auto e0 = if_else(plf::is_not_finite(r0), zero, eve::fma[pedantic](a, b, -r0)); | ||
| 92 | return eve::zip(r0, e0); | ||
| 93 | } | ||
| 94 | else | ||
| 95 | { | ||
| 96 |
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4 | auto e0 = if_else(plf::is_not_finite(r0), zero(eve::as(a)), plf::_::inner_fma(a, b, -r0)); |
| 97 | 8 | return eve::zip(r0, e0); | |
| 98 | } | ||
| 99 | } | ||
| 100 | } | ||
| 101 | } | ||
| 102 |