| 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/math/pow_abs.hpp> | ||
| 15 | |||
| 16 | namespace plf | ||
| 17 | { | ||
| 18 | |||
| 19 | template<typename Options> | ||
| 20 | struct pow_t : plf::elementwise_callable<pow_t, eve::pow_t, Options, raw_option, pedantic_option> | ||
| 21 | { | ||
| 22 | template<concepts::polyfloat_like Z1, concepts::polyfloat_like Z2> | ||
| 23 | 260 | POLYFLOAT_ABI constexpr as_polyfloat_like_t<Z1, Z2> operator()(Z1 z1, Z2 z2) const noexcept | |
| 24 | { | ||
| 25 | 260 | return POLYFLOAT_CALL(z1, z2); | |
| 26 | } | ||
| 27 | |||
| 28 | 252 | POLYFLOAT_CALLABLE_OBJECT(pow_t, pow_); | |
| 29 | }; | ||
| 30 | //====================================================================================================================== | ||
| 31 | //! @addtogroup math | ||
| 32 | //! @{ | ||
| 33 | //! @var pow | ||
| 34 | //! @brief return \f$x^y\f$. | ||
| 35 | //! | ||
| 36 | //! @groupheader{Header file} | ||
| 37 | //! | ||
| 38 | //! @code | ||
| 39 | //! #include <polyfloat/core.hpp> | ||
| 40 | //! @endcode | ||
| 41 | //! | ||
| 42 | //! @groupheader{Callable Signatures} | ||
| 43 | //! | ||
| 44 | //! @code | ||
| 45 | //! namespace polyfloat | ||
| 46 | //! { | ||
| 47 | //! template<polyfloat::concepts::polyfloat_like T> constpowr auto pow(T x) noexcept; | ||
| 48 | //! } | ||
| 49 | //! @endcode | ||
| 50 | //! | ||
| 51 | //! **Parameters** | ||
| 52 | //! | ||
| 53 | //! * `z`: Value to process. | ||
| 54 | //! | ||
| 55 | //! **Return value** | ||
| 56 | //! | ||
| 57 | //! Returns \f$x^y\f$. | ||
| 58 | //! | ||
| 59 | //! * pow(+0, y), where y is a negative odd integer, returns \f$+\infty\f$ | ||
| 60 | //! * pow(-0, y), where y is a negative odd integer, returns \f$-\infty\f$ | ||
| 61 | //! * pow(\f$\pm0\f$, y), where y is negative, finite, and is an even integer or a non-integer, | ||
| 62 | //! returns \f$+\infty\f$ | ||
| 63 | //! * pow(\f$\pm0\f$, \f$-\infty\f$) returns \f$+\infty\f$ | ||
| 64 | //! * pow(+0, y), where y is a positive odd integer, returns +0 | ||
| 65 | //! * pow(-0, y), where y is a positive odd integer, returns -0 | ||
| 66 | //! * pow(\f$\pm0\f$, y), where y is positive non-integer or a positive even integer, returns +0 | ||
| 67 | //! * pow(-1,\f$\pm\infty\f$) returns 1 | ||
| 68 | //! * pow(+1, y) returns 1 for any y, even when y is NaN | ||
| 69 | //! * pow(x, \f$\pm0\f$) returns 1 for any x, even when x is NaN | ||
| 70 | //! * pow(x, y) returns NaN if x is finite and less than 0 and y is finite and non-integer. | ||
| 71 | //! * pow(x, \f$-\infty\f$) returns \f$+\infty\f$ for any |x|<1 | ||
| 72 | //! * pow(x, \f$-\infty\f$) returns +0 for any |x|>1 | ||
| 73 | //! * pow(x, \f$+\infty\f$) returns +0 for any |x|<1 | ||
| 74 | //! * pow(x, \f$+\infty\f$) returns \f$+\infty\f$ for any |x|>1 | ||
| 75 | //! * pow(\f$-\infty\f$, y) returns -0 if y is a negative odd integer | ||
| 76 | //! * pow(\f$-\infty\f$, y) returns +0 if y is a negative non-integer or even integer | ||
| 77 | //! * pow(\f$-\infty\f$, y) returns \f$-\infty\f$ if y is a positive odd integer | ||
| 78 | //! * pow(\f$-\infty\f$, y) returns \f$+\infty\f$ if y is a positive non-integer or even integer | ||
| 79 | //! * pow(\f$+\infty\f$, y) returns +0 for any y less than 0 | ||
| 80 | //! * pow(\f$+\infty\f$, y) returns \f$+\infty\f$ for any y greater than 0 | ||
| 81 | //! * except where specified above, if any argument is NaN, NaN is returned | ||
| 82 | //! | ||
| 83 | //! @groupheader{Example} | ||
| 84 | //! | ||
| 85 | //! @godbolt{doc/math/pow.cpp} | ||
| 86 | //====================================================================================================================== | ||
| 87 | |||
| 88 | inline constexpr auto pow = eve::functor<pow_t>; | ||
| 89 | //====================================================================================================================== | ||
| 90 | //! @} | ||
| 91 | //====================================================================================================================== | ||
| 92 | } | ||
| 93 | |||
| 94 | namespace plf::_ | ||
| 95 | { | ||
| 96 | |||
| 97 | template<typename T, typename U, eve::callable_options O> | ||
| 98 | 252 | constexpr auto pow_(POLYFLOAT_DELAY(), O const& o, T a, U b) noexcept | |
| 99 | { | ||
| 100 | using r_t = as_polyfloat_like_t<T, U>; | ||
| 101 | using e_t = eve::element_type_t<r_t>; | ||
| 102 | 252 | auto cvt = [](auto a) { return plf::convert(a, eve::as<e_t>()); }; | |
| 103 | 252 | auto x = cvt(a); | |
| 104 | 252 | auto y = cvt(b); | |
| 105 | if constexpr (O::contains(eve::raw)) | ||
| 106 | { | ||
| 107 | return exp[o](y * log[o](x)); | ||
| 108 | } | ||
| 109 | else | ||
| 110 | { | ||
| 111 | if constexpr (eve::scalar_value<T> && eve::scalar_value<U>) | ||
| 112 | { | ||
| 113 |
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224 | if (a == plf::mone(eve::as(a)) && plf::is_infinite(b)) return plf::one(eve::as(x)); |
| 114 | } | ||
| 115 | 252 | auto nega = plf::is_negative(a); | |
| 116 | 252 | auto z = plf::pow_abs(x, y); | |
| 117 | 252 | return minus[is_odd(b) && nega](z); | |
| 118 | } | ||
| 119 | } | ||
| 120 | } | ||
| 121 |