| 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/details/trig_finalize.hpp> | ||
| 15 | #include <polyfloat/module/math/details/rempio2_limits.hpp> | ||
| 16 | #include <polyfloat/module/math/details/pio2_reduce.hpp> | ||
| 17 | #include <polyfloat/module/math/details/rem2.hpp> | ||
| 18 | #include <polyfloat/module/math/details/rem180.hpp> | ||
| 19 | #include <polyfloat/module/math/mul_pi.hpp> | ||
| 20 | #include <polyfloat/module/math/div_180.hpp> | ||
| 21 | #include <iostream> | ||
| 22 | |||
| 23 | namespace plf | ||
| 24 | { | ||
| 25 | |||
| 26 | template<typename Options> | ||
| 27 | struct tan_t : plf::elementwise_callable<tan_t, | ||
| 28 | eve::tan_t, | ||
| 29 | Options, | ||
| 30 | raw_option, | ||
| 31 | pedantic_option, | ||
| 32 | eve::quarter_circle_option, | ||
| 33 | eve::half_circle_option, | ||
| 34 | eve::full_circle_option, | ||
| 35 | eve::medium_option, | ||
| 36 | eve::big_option, | ||
| 37 | eve::radpi_option, | ||
| 38 | eve::deg_option> | ||
| 39 | { | ||
| 40 | 81206 | template<concepts::polyfloat_like Z> POLYFLOAT_ABI constexpr Z operator()(Z z) const noexcept | |
| 41 | { | ||
| 42 | 81206 | return POLYFLOAT_CALL(z); | |
| 43 | } | ||
| 44 | |||
| 45 | 80736 | POLYFLOAT_CALLABLE_OBJECT(tan_t, tan_); | |
| 46 | }; | ||
| 47 | //====================================================================================================================== | ||
| 48 | //! @addtogroup math | ||
| 49 | //! @{ | ||
| 50 | //! @var tan | ||
| 51 | //! @brief return the tangent value. | ||
| 52 | //! | ||
| 53 | //! @groupheader{Header file} | ||
| 54 | //! | ||
| 55 | //! @code | ||
| 56 | //! #include <polyfloat/core.hpp> | ||
| 57 | //! @endcode | ||
| 58 | //! | ||
| 59 | //! @groupheader{Callable Signatures} | ||
| 60 | //! | ||
| 61 | //! @code | ||
| 62 | //! namespace polyfloat | ||
| 63 | //! { | ||
| 64 | //! template<polyfloat::concepts::polyfloat_like T> constexpr auto tan(T z) noexcept; | ||
| 65 | //! } | ||
| 66 | //! @endcode | ||
| 67 | //! | ||
| 68 | //! **Parameters** | ||
| 69 | //! | ||
| 70 | //! * `z`: Value to process. | ||
| 71 | //! | ||
| 72 | //! **Return value** | ||
| 73 | //! | ||
| 74 | //! Returns the tangent of z. | ||
| 75 | //! | ||
| 76 | //! @groupheader{Example} | ||
| 77 | //! | ||
| 78 | //! @godbolt{doc/math/tan.cpp} | ||
| 79 | //====================================================================================================================== | ||
| 80 | |||
| 81 | inline constexpr auto tan = eve::functor<tan_t>; | ||
| 82 | //====================================================================================================================== | ||
| 83 | //! @} | ||
| 84 | //====================================================================================================================== | ||
| 85 | } | ||
| 86 | |||
| 87 | namespace plf::_ | ||
| 88 | { | ||
| 89 | 80736 | template<typename T, eve::callable_options O> constexpr auto tan_(POLYFLOAT_DELAY(), O const&, T a0) noexcept | |
| 90 | { | ||
| 91 | if constexpr (O::contains(eve::deg)) | ||
| 92 | { | ||
| 93 | 736 | return plf::tan[eve::radpi](plf::div_180(a0)); | |
| 94 | } | ||
| 95 | else if constexpr (O::contains(eve::radpi)) | ||
| 96 | { | ||
| 97 | if constexpr (O::contains(eve::quarter_circle)) | ||
| 98 | { | ||
| 99 | return plf::tan[eve::quarter_circle](plf::mul_pi(a0)); | ||
| 100 | } | ||
| 101 | else | ||
| 102 | { | ||
| 103 | 800 | auto x = plf::abs(a0); | |
| 104 | 800 | x = plf::if_else(plf::is_not_finite(x), plf::nan(eve::as(x)), x); // nan or Inf input | |
| 105 | 800 | x = plf::if_else(plf::is_greater(x, plf::maxflint(eve::as(x))), eve::zero, | |
| 106 | x); //over maxflint all inputs are even integers | ||
| 107 | 2400 | auto [fn, xr, dxr] = plf::rem2(x); | |
| 108 | 800 | return tan_finalize(a0, fn, xr, dxr); | |
| 109 | } | ||
| 110 | } | ||
| 111 | else | ||
| 112 | { | ||
| 113 | 79200 | auto x = plf::abs(a0); | |
| 114 | if constexpr (O::contains(eve::quarter_circle)) | ||
| 115 | { | ||
| 116 | 75628 | auto r = tancot_eval(x); | |
| 117 | 75628 | return plf::if_else(plf::is_negative(a0), -r, r); | |
| 118 | } | ||
| 119 | else if constexpr (O::contains(eve::half_circle) || O::contains(eve::full_circle) || O::contains(eve::medium)) | ||
| 120 | { | ||
| 121 | 2148 | auto [fn, xr, dxr] = pio_2_reduce(x); | |
| 122 | 716 | return plf::_::tan_finalize(a0, fn, xr, dxr); | |
| 123 | } | ||
| 124 | else | ||
| 125 | { | ||
| 126 |
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2856 | if (eve::all(x <= Rempio2_limit[eve::quarter_circle](eve::as(a0)))) |
| 127 | { | ||
| 128 | 2856 | return plf::tan[eve::quarter_circle](a0); | |
| 129 | } | ||
| 130 | ✗ | else if (eve::all(x <= Rempio2_limit[quarter_circle](as(a0)))) return tan[quarter_circle](a0); | |
| 131 | ✗ | else if (eve::all(x <= Rempio2_limit[medium](as(a0)))) return tan[medium](a0); | |
| 132 | else | ||
| 133 | ✗ | return plf::tan[eve::medium]( | |
| 134 | ✗ | plf::if_else(is_not_less_equal(x, Rempio2_limit[medium](as(a0))), nan(eve::as(a0)), tan[medium](a0))); | |
| 135 | //else return tan[big](a0); TO DO REPLACE previous line | ||
| 136 | } | ||
| 137 | } | ||
| 138 | } | ||
| 139 | } | ||
| 140 | |||
| 141 | namespace plf | ||
| 142 | { | ||
| 143 | constexpr auto tand = plf::tan[eve::deg]; | ||
| 144 | constexpr auto tanpi = plf::tan[eve::radpi]; | ||
| 145 | } | ||
| 146 |