mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
synced 2024-12-23 21:25:49 +00:00
add math functions: logb, ilogb
This commit is contained in:
bolero-MURAKAMI
parent
4b3d4e82d7
commit
d05b597e80
13 changed files with 218 additions and 11 deletions
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@ -6,6 +6,7 @@
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#include <sprout/math/trigonometric.hpp>
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#include <sprout/math/hyperbolic.hpp>
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#include <sprout/math/exponential.hpp>
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#include <sprout/math/floating_point.hpp>
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#include <sprout/math/power.hpp>
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#include <sprout/math/operations.hpp>
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#include <sprout/math/nearest.hpp>
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@ -34,8 +34,8 @@ namespace sprout {
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inline SPROUT_CONSTEXPR FloatType
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exp(FloatType x) {
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typedef double type;
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return !(x > -1) ? 1 / sprout::math::detail::exp_impl(-static_cast<type>(x))
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: sprout::math::detail::exp_impl(static_cast<type>(x))
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return !(x > -1) ? static_cast<FloatType>(1 / sprout::math::detail::exp_impl(-static_cast<type>(x)))
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: static_cast<FloatType>(sprout::math::detail::exp_impl(static_cast<type>(x)))
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;
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}
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@ -10,8 +10,5 @@
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#include <sprout/math/log10.hpp>
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#include <sprout/math/log2.hpp>
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#include <sprout/math/log1p.hpp>
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#include <sprout/math/ldexp.hpp>
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#include <sprout/math/scalbn.hpp>
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#include <sprout/math/scalbln.hpp>
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#endif // #ifndef SPROUT_MATH_EXPONENTIAL_HPP
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11
sprout/math/floating_point.hpp
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11
sprout/math/floating_point.hpp
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@ -0,0 +1,11 @@
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#ifndef SPROUT_MATH_FLOATING_POINT_HPP
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#define SPROUT_MATH_FLOATING_POINT_HPP
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#include <sprout/config.hpp>
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#include <sprout/math/ldexp.hpp>
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#include <sprout/math/scalbn.hpp>
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#include <sprout/math/scalbln.hpp>
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#include <sprout/math/ilogb.hpp>
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#include <sprout/math/logb.hpp>
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#endif // #ifndef SPROUT_MATH_FLOATING_POINT_HPP
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@ -6,6 +6,7 @@
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#include <sprout/math/trigonometric.hpp>
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#include <sprout/math/hyperbolic.hpp>
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#include <sprout/math/exponential.hpp>
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#include <sprout/math/floating_point.hpp>
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#include <sprout/math/power.hpp>
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#include <sprout/math/operations.hpp>
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#include <sprout/math/nearest.hpp>
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47
sprout/math/ilogb.hpp
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47
sprout/math/ilogb.hpp
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@ -0,0 +1,47 @@
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#ifndef SPROUT_MATH_ILOGB_HPP
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#define SPROUT_MATH_ILOGB_HPP
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#include <climits>
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#include <cfloat>
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/math/detail/config.hpp>
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#include <sprout/math/logb.hpp>
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#include <sprout/math/isnan.hpp>
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#include <sprout/math/isinf.hpp>
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#include <sprout/math/iszero.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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namespace sprout {
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namespace math {
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namespace detail {
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR int
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ilogb(FloatType x) {
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return sprout::math::iszero(x) ? FP_ILOGB0
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: sprout::math::isinf(x) ? INT_MAX
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: sprout::math::isnan(x) ? FP_ILOGBNAN
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: static_cast<int>(sprout::math::logb(x))
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;
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}
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template<
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typename IntType,
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typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR int
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ilogb(IntType x) {
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return sprout::math::detail::ilogb(static_cast<double>(x));
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}
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} // namespace detail
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using NS_SPROUT_MATH_DETAIL::ilogb;
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} // namespace math
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using sprout::math::ilogb;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_ILOGB_HPP
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@ -16,7 +16,7 @@ namespace sprout {
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>
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inline SPROUT_CONSTEXPR FloatType
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ldexp(FloatType x, int exp) {
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return static_cast<FloatType>(x * sprout::detail::pow_n(FloatType(2), exp));
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return x * sprout::detail::pow_n(FloatType(2), exp);
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}
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template<
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@ -1,5 +1,5 @@
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#ifndef SPROUT_MATH_LOG2HPP
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#define SPROUT_MATH_LOG2HPP
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#ifndef SPROUT_MATH_LOG2_HPP
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#define SPROUT_MATH_LOG2_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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@ -36,4 +36,4 @@ namespace sprout {
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using sprout::math::log2;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_LOG2HPP
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#endif // #ifndef SPROUT_MATH_LOG2_HPP
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47
sprout/math/log_a.hpp
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47
sprout/math/log_a.hpp
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@ -0,0 +1,47 @@
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#ifndef SPROUT_MATH_LOG_A_HPP
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#define SPROUT_MATH_LOG_A_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/math/detail/config.hpp>
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#include <sprout/math/log.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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namespace sprout {
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namespace math {
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namespace detail {
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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log_a(FloatType x, FloatType y) {
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return x == 2 ? sprout::math::log(y) / sprout::math::ln_two<FloatType>()
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: x == 10 ? sprout::math::log(y) / sprout::math::ln_ten<FloatType>()
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: sprout::math::log(y) / sprout::math::log(x)
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;
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}
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template<
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typename ArithmeticType1,
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typename ArithmeticType2,
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typename sprout::enabler_if<
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std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
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>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type
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log_a(ArithmeticType1 x, ArithmeticType2 y) {
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typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
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return sprout::math::detail::log_a(static_cast<type>(x), static_cast<type>(y));
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}
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} // namespace detail
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using sprout::math::detail::log_a;
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} // namespace math
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using sprout::math::log_a;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_LOG_A_HPP
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102
sprout/math/logb.hpp
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102
sprout/math/logb.hpp
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@ -0,0 +1,102 @@
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#ifndef SPROUT_MATH_LOGB_HPP
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#define SPROUT_MATH_LOGB_HPP
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#include <climits>
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#include <cfloat>
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#include <cstdint>
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#include <type_traits>
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#include <stdexcept>
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#include <sprout/config.hpp>
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#include <sprout/math/detail/config.hpp>
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#include <sprout/detail/pow.hpp>
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#include <sprout/math/log_a.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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namespace sprout {
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namespace math {
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namespace detail {
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_2_neg_lo(T x, T x0, T base, T exp) {
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return base < 1 ? sprout::math::detail::logb_impl_2_neg_lo(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp - 1)
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: exp
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_2_neg_hi(T x, T x0, T base, T exp) {
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return !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_neg_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp + 1)
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: exp
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_2_pos_lo(T x, T x0, T base, T exp) {
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return base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp + 1)
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: exp
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_2_pos_hi(T x, T x0, T base, T exp) {
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return !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_pos_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp - 1)
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: exp
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_2(T x, T x0, T base, T exp) {
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return exp < 0
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? base < 1 ? sprout::math::detail::logb_impl_2_neg_lo(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp - 1)
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: !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_neg_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp + 1)
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: exp
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: base < 1 ? sprout::math::detail::logb_impl_2_pos_lo(x, x0 * FLT_RADIX, x / (x0 / FLT_RADIX), exp + 1)
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: !(base < FLT_RADIX) ? sprout::math::detail::logb_impl_2_pos_hi(x, x0 / FLT_RADIX, x / (x0 * FLT_RADIX), exp - 1)
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: exp
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl_1(T x, T x0, T exp) {
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return sprout::math::detail::logb_impl_2(x, x0, x / x0, exp);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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logb_impl(T x, T exp) {
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return std::numeric_limits<std::intmax_t>::max() < exp || std::numeric_limits<std::intmax_t>::min() > exp
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? SPROUT_MATH_THROW_LARGE_FLOAT_ROUNDING(std::domain_error("trunc: large float rounding."), exp)
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: sprout::math::detail::logb_impl_1(
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x, sprout::detail::pow_n(T(FLT_RADIX), static_cast<std::intmax_t>(exp)),
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static_cast<T>(static_cast<std::intmax_t>(exp))
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)
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;
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}
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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logb(FloatType x) {
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return x < 0 ? sprout::math::detail::logb_impl(-x, sprout::math::trunc(sprout::math::log_a(FloatType(FLT_RADIX), -x)))
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: sprout::math::detail::logb_impl(x, sprout::math::trunc(sprout::math::log_a(FloatType(FLT_RADIX), x)))
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;
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}
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template<
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typename IntType,
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typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR double
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logb(IntType x) {
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return sprout::math::detail::logb(static_cast<double>(x));
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}
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} // namespace detail
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using NS_SPROUT_MATH_DETAIL::logb;
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} // namespace math
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using sprout::math::logb;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_LOGB_HPP
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@ -5,6 +5,7 @@
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#include <sprout/math/sqrt.hpp>
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#include <sprout/math/cbrt.hpp>
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#include <sprout/math/pow.hpp>
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#include <sprout/math/log_a.hpp>
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#include <sprout/math/hypot.hpp>
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#endif // #ifndef SPROUT_MATH_POWER_HPP
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@ -17,7 +17,7 @@ namespace sprout {
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>
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inline SPROUT_CONSTEXPR FloatType
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scalbln(FloatType x, long exp) {
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return static_cast<FloatType>(x * sprout::detail::pow_n(FloatType(FLT_RADIX), exp));
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return x * sprout::detail::pow_n(FloatType(FLT_RADIX), exp);
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}
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template<
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>
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inline SPROUT_CONSTEXPR FloatType
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scalbn(FloatType x, int exp) {
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return static_cast<FloatType>(x * sprout::detail::pow_n(FloatType(FLT_RADIX), exp));
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return x * sprout::detail::pow_n(FloatType(FLT_RADIX), exp);
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}
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template<
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