mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
synced 2025-07-04 14:14:09 +00:00
add compost utility
This commit is contained in:
bolero-MURAKAMI
parent
24d2a229f3
commit
b44f7c8f2a
14 changed files with 670 additions and 29 deletions
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@ -3,5 +3,7 @@
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#include <sprout/config.hpp>
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#include <sprout/compost/utility/equal_temperament.hpp>
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#include <sprout/compost/utility/rosenberg.hpp>
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#include <sprout/compost/utility/iir_filter.hpp>
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#endif // #ifndef SPROUT_COMPOST_UTILITY_HPP
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562
sprout/compost/utility/iir_filter.hpp
Normal file
562
sprout/compost/utility/iir_filter.hpp
Normal file
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@ -0,0 +1,562 @@
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#ifndef SPROUT_COMPOST_UTILITY_IIR_FILTER_HPP
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#define SPROUT_COMPOST_UTILITY_IIR_FILTER_HPP
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#include <sprout/config.hpp>
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#include <sprout/container/functions.hpp>
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#include <sprout/algorithm/fixed/result_of.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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#include <sprout/utility/pair.hpp>
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#include <sprout/math/tan.hpp>
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#include <sprout/math/sqrt.hpp>
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#include <sprout/math/constants.hpp>
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namespace sprout {
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namespace compost {
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namespace detail {
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template<typename T>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<T>::type
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iir_fc(T const& fc) {
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typedef typename sprout::float_promote<T>::type type;
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using sprout::tan;
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return tan(sprout::math::pi<type>() * fc) / (2 * sprout::math::pi<type>());
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}
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template<typename T>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<T>::type
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iir_g(T const& g) {
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typedef typename sprout::float_promote<T>::type type;
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return g + 1;
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}
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} // namespace detail
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_lpf_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x / q + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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x2 / y,
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2 * x2 / y,
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x2 / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_lpf_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x) {
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return sprout::compost::detail::iir_lpf_impl_2<Result>(
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fc, q, a, b,
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x, x * x, 1 + x / q + x * x
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_lpf_impl(T const& fc, T const& q, A const& a, B const& b) {
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return sprout::compost::detail::iir_lpf_impl_1<Result>(
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fc, q, a, b,
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2 * sprout::math::pi<T>() * fc
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);
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}
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} // namespace detail
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//
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// iir_lpf
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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>
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iir_lpf(T const& fc, T const& q, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_lpf_impl<result_type>(sprout::compost::detail::iir_fc(fc), q, a, b);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_hpf_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x / q + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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1 / y,
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-2 / y,
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1 / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_hpf_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x) {
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return sprout::compost::detail::iir_hpf_impl_2<Result>(
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fc, q, a, b,
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x, x * x, 1 + x / q + x * x
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_hpf_impl(T const& fc, T const& q, A const& a, B const& b) {
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return sprout::compost::detail::iir_hpf_impl_1<Result>(
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fc, q, a, b,
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2 * sprout::math::pi<T>() * fc
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);
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}
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} // namespace detail
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//
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// iir_hpf
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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>
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iir_hpf(T const& fc, T const& q, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_hpf_impl<result_type>(sprout::compost::detail::iir_fc(fc), q, a, b);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bpf_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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x / y,
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T(0),
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-x / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bpf_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2) {
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return sprout::compost::detail::iir_bpf_impl_2<Result>(
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fc, q, a, b,
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x, x2, 1 + x + x2
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bpf_impl(T const& fc1, T const& fc2, A const& a, B const& b) {
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return sprout::compost::detail::iir_bpf_impl_1<Result>(
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fc1, fc2, a, b,
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2 * sprout::math::pi<T>() * (fc2 - fc1),
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4 * sprout::math::pi<T>() * fc1 * fc2
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);
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}
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} // namespace detail
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//
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// iir_bpf
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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>
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iir_bpf(T const& fc1, T const& fc2, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_bpf_impl<result_type>(
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sprout::compost::detail::iir_fc(fc1), sprout::compost::detail::iir_fc(fc2),
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a, b
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);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bef_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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(x2 + 1) / y,
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(2 * x2 - 2) / y,
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(x2 + 1) / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bef_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2) {
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return sprout::compost::detail::iir_bef_impl_2<Result>(
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fc, q, a, b,
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x, x2, 1 + x + x2
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_bef_impl(T const& fc1, T const& fc2, A const& a, B const& b) {
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return sprout::compost::detail::iir_bef_impl_1<Result>(
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fc1, fc2, a, b,
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2 * sprout::math::pi<T>() * (fc2 - fc1),
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4 * sprout::math::pi<T>() * fc1 * fc2
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);
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}
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} // namespace detail
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//
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// iir_bef
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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>
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iir_bef(T const& fc1, T const& fc2, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_bef_impl<result_type>(
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sprout::compost::detail::iir_fc(fc1), sprout::compost::detail::iir_fc(fc2),
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a, b
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);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_resonator_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x / q + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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x / q / y,
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T(0),
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-x / q / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_resonator_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x) {
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return sprout::compost::detail::iir_resonator_impl_2<Result>(
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fc, q, a, b,
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x, x * x, 1 + x / q + x * x
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_resonator_impl(T const& fc, T const& q, A const& a, B const& b) {
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return sprout::compost::detail::iir_resonator_impl_1<Result>(
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fc, q, a, b,
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2 * sprout::math::pi<T>() * fc
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);
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}
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} // namespace detail
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//
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// iir_resonator
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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>
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iir_resonator(T const& fc, T const& q, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_resonator_impl<result_type>(sprout::compost::detail::iir_fc(fc), q, a, b);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_notch_impl_2(T const& fc, T const& q, A const& a, B const& b, T const& x, T const& x2, T const& y) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
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(1 - x / q + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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(x2 + 1) / y,
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(2 * x2 + 2) / y,
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(x2 + 1) / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_notch_impl_1(T const& fc, T const& q, A const& a, B const& b, T const& x) {
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return sprout::compost::detail::iir_notch_impl_2<Result>(
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fc, q, a, b,
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x, x * x, 1 + x / q + x * x
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_notch_impl(T const& fc, T const& q, A const& a, B const& b) {
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return sprout::compost::detail::iir_notch_impl_1<Result>(
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fc, q, a, b,
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2 * sprout::math::pi<T>() * fc
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);
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}
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} // namespace detail
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//
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// iir_notch
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
|
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>
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iir_notch(T const& fc, T const& q, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_notch_impl<result_type>(sprout::compost::detail::iir_fc(fc), q, a, b);
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}
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namespace detail {
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_low_shelving_impl_2(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x, T const& x2, T const& y, T const& g_) {
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return Result(
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sprout::remake<A>(
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a, 3,
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T(1),
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(2 * x2 - 2) / y,
|
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(1 - x / q + x2) / y
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),
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sprout::remake<B>(
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b, 3,
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(1 + g_ * x / q + g * x2) / y,
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(2 * g * x2 - 2) / y,
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(1 + g_ * x / q + g * x2) / y
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)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_low_shelving_impl_1(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x) {
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using sprout::sqrt;
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return sprout::compost::detail::iir_low_shelving_impl_2<Result>(
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fc, q, g, a, b,
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x, x * x, 1 + x / q + x * x, sqrt(g)
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);
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}
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template<typename Result, typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR Result
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iir_low_shelving_impl(T const& fc, T const& q, T const& g, A const& a, B const& b) {
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return sprout::compost::detail::iir_low_shelving_impl_1<Result>(
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fc, q, a, b,
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2 * sprout::math::pi<T>() * fc
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);
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}
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} // namespace detail
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//
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// iir_low_shelving
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//
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template<typename T, typename A, typename B>
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inline SPROUT_CONSTEXPR sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
|
||||
>
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iir_low_shelving(T const& fc, T const& q, T const& g, A const& a, B const& b) {
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typedef sprout::pair<
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typename sprout::fixed::result_of::algorithm<A>::type,
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typename sprout::fixed::result_of::algorithm<B>::type
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> result_type;
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return sprout::compost::detail::iir_low_shelving_impl<result_type>(
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sprout::compost::detail::iir_fc(fc), q, sprout::compost::detail::iir_g(g),
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||||
a, b
|
||||
);
|
||||
}
|
||||
|
||||
namespace detail {
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_high_shelving_impl_2(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x, T const& x2, T const& y, T const& g_) {
|
||||
return Result(
|
||||
sprout::remake<A>(
|
||||
a, 3,
|
||||
T(1),
|
||||
(2 * x2 - 2) / y,
|
||||
(1 - x / q + x2) / y
|
||||
),
|
||||
sprout::remake<B>(
|
||||
b, 3,
|
||||
(g + g_ * x / q + x2) / y,
|
||||
(2 * x2 - 2 * g) / y,
|
||||
(g + g_ * x / q + x2) / y
|
||||
)
|
||||
);
|
||||
}
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_high_shelving_impl_1(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x) {
|
||||
using sprout::sqrt;
|
||||
return sprout::compost::detail::iir_high_shelving_impl_2<Result>(
|
||||
fc, q, g, a, b,
|
||||
x, x * x, 1 + x / q + x * x, sqrt(g)
|
||||
);
|
||||
}
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_high_shelving_impl(T const& fc, T const& q, T const& g, A const& a, B const& b) {
|
||||
return sprout::compost::detail::iir_high_shelving_impl_1<Result>(
|
||||
fc, q, a, b,
|
||||
2 * sprout::math::pi<T>() * fc
|
||||
);
|
||||
}
|
||||
} // namespace detail
|
||||
//
|
||||
// iir_high_shelving
|
||||
//
|
||||
template<typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<A>::type,
|
||||
typename sprout::fixed::result_of::algorithm<B>::type
|
||||
>
|
||||
iir_high_shelving(T const& fc, T const& q, T const& g, A const& a, B const& b) {
|
||||
typedef sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<A>::type,
|
||||
typename sprout::fixed::result_of::algorithm<B>::type
|
||||
> result_type;
|
||||
return sprout::compost::detail::iir_high_shelving_impl<result_type>(
|
||||
sprout::compost::detail::iir_fc(fc), q, sprout::compost::detail::iir_g(g),
|
||||
a, b
|
||||
);
|
||||
}
|
||||
|
||||
namespace detail {
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_peaking_impl_2(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x, T const& x2, T const& y) {
|
||||
return Result(
|
||||
sprout::remake<A>(
|
||||
a, 3,
|
||||
T(1),
|
||||
(2 * x2 - 2) / y,
|
||||
(1 - x / q + x2) / y
|
||||
),
|
||||
sprout::remake<B>(
|
||||
b, 3,
|
||||
(1 + x / q + g + x2) / y,
|
||||
(2 * x2 - 2) / y,
|
||||
(1 + x / q + g + x2) / y
|
||||
)
|
||||
);
|
||||
}
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_peaking_impl_1(T const& fc, T const& q, T const& g, A const& a, B const& b, T const& x) {
|
||||
return sprout::compost::detail::iir_peaking_impl_2<Result>(
|
||||
fc, q, g, a, b,
|
||||
x, x * x, 1 + x / q + x * x
|
||||
);
|
||||
}
|
||||
template<typename Result, typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
iir_peaking_impl(T const& fc, T const& q, T const& g, A const& a, B const& b) {
|
||||
return sprout::compost::detail::iir_peaking_impl_1<Result>(
|
||||
fc, q, a, b,
|
||||
2 * sprout::math::pi<T>() * fc
|
||||
);
|
||||
}
|
||||
} // namespace detail
|
||||
//
|
||||
// iir_peaking
|
||||
//
|
||||
template<typename T, typename A, typename B>
|
||||
inline SPROUT_CONSTEXPR sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<A>::type,
|
||||
typename sprout::fixed::result_of::algorithm<B>::type
|
||||
>
|
||||
iir_peaking(T const& fc, T const& q, T const& g, A const& a, B const& b) {
|
||||
typedef sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<A>::type,
|
||||
typename sprout::fixed::result_of::algorithm<B>::type
|
||||
> result_type;
|
||||
return sprout::compost::detail::iir_peaking_impl<result_type>(
|
||||
sprout::compost::detail::iir_fc(fc), q, sprout::compost::detail::iir_g(g),
|
||||
a, b
|
||||
);
|
||||
}
|
||||
|
||||
namespace detail {
|
||||
template<typename Result, typename T, typename DelayA, typename DelayB>
|
||||
inline SPROUT_CONSTEXPR Result
|
||||
apply_iir_impl(T const& base, DelayA const& da, DelayB const& db, T const& sample) {
|
||||
return Result(
|
||||
sample,
|
||||
typename Result::second_type(
|
||||
sprout::remake<DelayA>(da, 2, sprout::tuples::get<1>(da), sample),
|
||||
sprout::remake<DelayB>(db, 2, sprout::tuples::get<1>(db), base)
|
||||
)
|
||||
);
|
||||
}
|
||||
} // namespace detail
|
||||
//
|
||||
// apply_iir
|
||||
//
|
||||
template<typename T, typename A, typename B, typename DelayA, typename DelayB>
|
||||
inline SPROUT_CONSTEXPR sprout::pair<
|
||||
T,
|
||||
sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<DelayA>::type,
|
||||
typename sprout::fixed::result_of::algorithm<DelayB>::type
|
||||
>
|
||||
>
|
||||
apply_iir(T const& base, A const& a, B const& b, DelayA const& da, DelayB const& db) {
|
||||
typedef sprout::pair<
|
||||
T,
|
||||
sprout::pair<
|
||||
typename sprout::fixed::result_of::algorithm<DelayA>::type,
|
||||
typename sprout::fixed::result_of::algorithm<DelayB>::type
|
||||
>
|
||||
> result_type;
|
||||
return sprout::compost::detail::apply_iir_impl<result_type>(
|
||||
base, da, db,
|
||||
sprout::tuples::get<0>(b) * base
|
||||
+ sprout::tuples::get<1>(b) * sprout::tuples::get<0>(db)
|
||||
+ sprout::tuples::get<2>(b) * sprout::tuples::get<1>(db)
|
||||
- sprout::tuples::get<1>(a) * sprout::tuples::get<0>(da)
|
||||
- sprout::tuples::get<2>(a) * sprout::tuples::get<1>(da)
|
||||
);
|
||||
}
|
||||
} // namespace compost
|
||||
} // namespace sprout
|
||||
|
||||
#endif // #ifndef SPROUT_COMPOST_UTILITY_IIR_FILTER_HPP
|
||||
29
sprout/compost/utility/rosenberg.hpp
Normal file
29
sprout/compost/utility/rosenberg.hpp
Normal file
|
|
@ -0,0 +1,29 @@
|
|||
#ifndef SPROUT_COMPOST_UTILITY_ROSENBERG_HPP
|
||||
#define SPROUT_COMPOST_UTILITY_ROSENBERG_HPP
|
||||
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/detail/pow.hpp>
|
||||
#include <sprout/type_traits/float_promote.hpp>
|
||||
#include <sprout/math/comparison.hpp>
|
||||
|
||||
namespace sprout {
|
||||
namespace compost {
|
||||
//
|
||||
// rosenberg_value
|
||||
// Rosenberg 波は，声門開大期と閉小期が周期の40%，16%となる非対称形の波形であり，τ1 が開大期，τ2が閉小期を示す．
|
||||
//
|
||||
template<typename T>
|
||||
inline SPROUT_CONSTEXPR typename sprout::float_promote<T>::type
|
||||
rosenberg_value(T x, T tau1, T tau2) {
|
||||
typedef typename sprout::float_promote<T>::type type;
|
||||
return x >= 0 && sprout::math::less_equal(x, tau1)
|
||||
? 3 * sprout::detail::pow2<type>(x / tau1) - 2 * sprout::detail::pow3<type>(x / tau1)
|
||||
: sprout::math::greater(x, tau1) && sprout::math::less_equal(x, tau1 + tau2)
|
||||
? 1 - sprout::detail::pow2<type>((x - tau1) / tau2)
|
||||
: 0
|
||||
;
|
||||
}
|
||||
} // namespace compost
|
||||
} // namespace sprout
|
||||
|
||||
#endif // #ifndef SPROUT_COMPOST_UTILITY_ROSENBERG_HPP
|
||||
28
sprout/detail/pow.hpp
Normal file
28
sprout/detail/pow.hpp
Normal file
|
|
@ -0,0 +1,28 @@
|
|||
#ifndef SPROUT_DETAIL_POW_HPP
|
||||
#define SPROUT_DETAIL_POW_HPP
|
||||
#include <sprout/config.hpp>
|
||||
|
||||
namespace sprout {
|
||||
namespace detail {
|
||||
template<typename T>
|
||||
inline SPROUT_CONSTEXPR T
|
||||
pow2(T const& x) {
|
||||
return x * x;
|
||||
}
|
||||
template<typename T>
|
||||
inline SPROUT_CONSTEXPR T
|
||||
pow3(T const& x) {
|
||||
return x * x * x;
|
||||
}
|
||||
template<typename T>
|
||||
inline SPROUT_CONSTEXPR T
|
||||
pow_n(T const& x, int n) {
|
||||
return n == 1 ? x
|
||||
: n % 2 ? x * sprout::detail::pow2(sprout::detail::pow_n(x, n / 2))
|
||||
: sprout::detail::pow2(sprout::detail::pow_n(x, n / 2))
|
||||
;
|
||||
}
|
||||
} // namespace detail
|
||||
} // namespace sprout
|
||||
|
||||
#endif // #ifndef SPROUT_DETAIL_POW_HPP
|
||||
|
|
@ -89,7 +89,9 @@ namespace sprout {
|
|||
return phase_;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator*() const {
|
||||
return amplitude_ * sprout::fixed::detail::sawtooth_value(frequency_ * value_type(index_) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::sawtooth_value(frequency_ * value_type(index_) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR pointer operator->() const {
|
||||
return &operator*()();
|
||||
|
|
@ -129,7 +131,9 @@ namespace sprout {
|
|||
return *this;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator[](difference_type n) const {
|
||||
return amplitude_ * sprout::fixed::detail::sawtooth_value(frequency_ * value_type(index_ + n) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::sawtooth_value(frequency_ * value_type(index_ + n) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR sawtooth_iterator next() const {
|
||||
return sawtooth_iterator(*this, index_ + 1);
|
||||
|
|
|
|||
|
|
@ -96,7 +96,9 @@ namespace sprout {
|
|||
}
|
||||
SPROUT_CONSTEXPR reference operator*() const {
|
||||
using sprout::sin;
|
||||
return amplitude_ * sin(d_ * value_type(index_) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sin(d_ * value_type(index_) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR pointer operator->() const {
|
||||
return &operator*()();
|
||||
|
|
@ -137,7 +139,9 @@ namespace sprout {
|
|||
}
|
||||
SPROUT_CONSTEXPR reference operator[](difference_type n) const {
|
||||
using sprout::sin;
|
||||
return amplitude_ * sin(d_ * value_type(index_ + n) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sin(d_ * value_type(index_ + n) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR sinusoid_iterator next() const {
|
||||
return sinusoid_iterator(*this, index_ + 1);
|
||||
|
|
|
|||
|
|
@ -98,7 +98,9 @@ namespace sprout {
|
|||
return duty_;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator*() const {
|
||||
return amplitude_ * sprout::fixed::detail::square_value(frequency_ * value_type(index_) + phase_, duty_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::square_value(frequency_ * value_type(index_) + phase_, duty_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR pointer operator->() const {
|
||||
return &operator*()();
|
||||
|
|
@ -138,7 +140,9 @@ namespace sprout {
|
|||
return *this;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator[](difference_type n) const {
|
||||
return amplitude_ * sprout::fixed::detail::square_value(frequency_ * value_type(index_ + n) + phase_, duty_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::square_value(frequency_ * value_type(index_ + n) + phase_, duty_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR square_iterator next() const {
|
||||
return square_iterator(*this, index_ + 1);
|
||||
|
|
|
|||
|
|
@ -89,7 +89,9 @@ namespace sprout {
|
|||
return phase_;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator*() const {
|
||||
return amplitude_ * sprout::fixed::detail::triangle_value(frequency_ * value_type(index_) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::triangle_value(frequency_ * value_type(index_) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR pointer operator->() const {
|
||||
return &operator*()();
|
||||
|
|
@ -129,7 +131,9 @@ namespace sprout {
|
|||
return *this;
|
||||
}
|
||||
SPROUT_CONSTEXPR reference operator[](difference_type n) const {
|
||||
return amplitude_ * sprout::fixed::detail::triangle_value(frequency_ * value_type(index_ + n) + phase_);
|
||||
return amplitude_ == 0 ? 0
|
||||
: amplitude_ * sprout::fixed::detail::triangle_value(frequency_ * value_type(index_ + n) + phase_)
|
||||
;
|
||||
}
|
||||
SPROUT_CONSTEXPR triangle_iterator next() const {
|
||||
return triangle_iterator(*this, index_ + 1);
|
||||
|
|
|
|||
|
|
@ -164,7 +164,7 @@ namespace sprout {
|
|||
return !(lhs < rhs);
|
||||
}
|
||||
template<typename Iterator1, typename T1, typename Iterator2, typename T2>
|
||||
inline SPROUT_CONSTEXPR decltype(std::declval<Iterator1, T1>() - std::declval<Iterator2, T2>())
|
||||
inline SPROUT_CONSTEXPR decltype(std::declval<Iterator1>() - std::declval<Iterator2>())
|
||||
operator-(sprout::valued_iterator<Iterator1, T1> const& lhs, sprout::valued_iterator<Iterator2, T2> const& rhs) {
|
||||
return lhs.base() - rhs.base();
|
||||
}
|
||||
|
|
|
|||
|
|
@ -5,6 +5,7 @@
|
|||
#include <limits>
|
||||
#include <type_traits>
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/detail/pow.hpp>
|
||||
#include <sprout/math/detail/config.hpp>
|
||||
#include <sprout/math/factorial.hpp>
|
||||
#include <sprout/math/constants.hpp>
|
||||
|
|
@ -16,28 +17,23 @@ namespace sprout {
|
|||
namespace detail {
|
||||
template<typename T>
|
||||
inline SPROUT_CONSTEXPR T
|
||||
cos_impl_1(T x, T tmp, std::size_t n, T x2n) {
|
||||
return 2 * n > sprout::math::factorial_limit<T>() ? tmp
|
||||
: sprout::math::detail::cos_impl_1(
|
||||
x,
|
||||
tmp + (n % 2 ? -1 : 1) * x2n / sprout::math::factorial<T>(2 * n),
|
||||
n + 1,
|
||||
x2n * x * x
|
||||
)
|
||||
cos_impl_1(T x2, std::size_t first, std::size_t last) {
|
||||
return last - first == 1
|
||||
? (first % 2 ? -1 : 1) * sprout::detail::pow_n(x2, first) / sprout::math::factorial<T>(2 * first)
|
||||
: sprout::math::detail::cos_impl_1(x2, first, first + (last - first) / 2)
|
||||
+ sprout::math::detail::cos_impl_1(x2, first + (last - first) / 2, last)
|
||||
;
|
||||
}
|
||||
|
||||
template<typename FloatType>
|
||||
inline SPROUT_CONSTEXPR FloatType
|
||||
cos_impl(FloatType x) {
|
||||
typedef double type;
|
||||
return static_cast<FloatType>(sprout::math::detail::cos_impl_1(
|
||||
static_cast<type>(x),
|
||||
type(1),
|
||||
1,
|
||||
static_cast<type>(x) * static_cast<type>(x)
|
||||
))
|
||||
;
|
||||
return static_cast<FloatType>(
|
||||
type(1) + sprout::math::detail::cos_impl_1(
|
||||
static_cast<type>(x) * static_cast<type>(x),
|
||||
1, sprout::math::factorial_limit<type>() / 2 + 1
|
||||
)
|
||||
);
|
||||
}
|
||||
|
||||
template<
|
||||
|
|
|
|||
|
|
@ -1,6 +1,7 @@
|
|||
#ifndef SPROUT_RANGE_ADAPTOR_SAWTOOTH_WAVE_HPP
|
||||
#define SPROUT_RANGE_ADAPTOR_SAWTOOTH_WAVE_HPP
|
||||
|
||||
#include <limits>
|
||||
#include <type_traits>
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/pit.hpp>
|
||||
|
|
@ -71,6 +72,7 @@ namespace sprout {
|
|||
> base_type;
|
||||
typedef typename base_type::iterator iterator;
|
||||
typedef typename base_type::value_type value_type;
|
||||
typedef typename base_type::difference_type difference_type;
|
||||
public:
|
||||
sawtooth_wave_range() = default;
|
||||
sawtooth_wave_range(sawtooth_wave_range const&) = default;
|
||||
|
|
@ -81,7 +83,7 @@ namespace sprout {
|
|||
)
|
||||
: base_type(
|
||||
iterator(0, frequency, amplitude, phase),
|
||||
iterator(-1, frequency, amplitude, phase)
|
||||
iterator(std::numeric_limits<difference_type>::max(), frequency, amplitude, phase)
|
||||
)
|
||||
{}
|
||||
SPROUT_CONSTEXPR value_type const& frequency() const {
|
||||
|
|
|
|||
|
|
@ -1,6 +1,7 @@
|
|||
#ifndef SPROUT_RANGE_ADAPTOR_SINUSOIDAL_HPP
|
||||
#define SPROUT_RANGE_ADAPTOR_SINUSOIDAL_HPP
|
||||
|
||||
#include <limits>
|
||||
#include <type_traits>
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/pit.hpp>
|
||||
|
|
@ -71,6 +72,7 @@ namespace sprout {
|
|||
> base_type;
|
||||
typedef typename base_type::iterator iterator;
|
||||
typedef typename base_type::value_type value_type;
|
||||
typedef typename base_type::difference_type difference_type;
|
||||
public:
|
||||
sinusoidal_range() = default;
|
||||
sinusoidal_range(sinusoidal_range const&) = default;
|
||||
|
|
@ -81,7 +83,7 @@ namespace sprout {
|
|||
)
|
||||
: base_type(
|
||||
iterator(0, frequency, amplitude, phase),
|
||||
iterator(-1, frequency, amplitude, phase)
|
||||
iterator(std::numeric_limits<difference_type>::max(), frequency, amplitude, phase)
|
||||
)
|
||||
{}
|
||||
SPROUT_CONSTEXPR value_type frequency() const {
|
||||
|
|
|
|||
|
|
@ -1,6 +1,7 @@
|
|||
#ifndef SPROUT_RANGE_ADAPTOR_SQUARE_WAVE_HPP
|
||||
#define SPROUT_RANGE_ADAPTOR_SQUARE_WAVE_HPP
|
||||
|
||||
#include <limits>
|
||||
#include <type_traits>
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/pit.hpp>
|
||||
|
|
@ -75,6 +76,7 @@ namespace sprout {
|
|||
> base_type;
|
||||
typedef typename base_type::iterator iterator;
|
||||
typedef typename base_type::value_type value_type;
|
||||
typedef typename base_type::difference_type difference_type;
|
||||
public:
|
||||
square_wave_range() = default;
|
||||
square_wave_range(square_wave_range const&) = default;
|
||||
|
|
@ -86,7 +88,7 @@ namespace sprout {
|
|||
)
|
||||
: base_type(
|
||||
iterator(0, frequency, amplitude, phase, duty),
|
||||
iterator(-1, frequency, amplitude, phase, duty)
|
||||
iterator(std::numeric_limits<difference_type>::max(), frequency, amplitude, phase, duty)
|
||||
)
|
||||
{}
|
||||
SPROUT_CONSTEXPR value_type frequency() const {
|
||||
|
|
|
|||
|
|
@ -1,6 +1,7 @@
|
|||
#ifndef SPROUT_RANGE_ADAPTOR_TRIANGLE_WAVE_HPP
|
||||
#define SPROUT_RANGE_ADAPTOR_TRIANGLE_WAVE_HPP
|
||||
|
||||
#include <limits>
|
||||
#include <type_traits>
|
||||
#include <sprout/config.hpp>
|
||||
#include <sprout/pit.hpp>
|
||||
|
|
@ -71,6 +72,7 @@ namespace sprout {
|
|||
> base_type;
|
||||
typedef typename base_type::iterator iterator;
|
||||
typedef typename base_type::value_type value_type;
|
||||
typedef typename base_type::difference_type difference_type;
|
||||
public:
|
||||
triangle_wave_range() = default;
|
||||
triangle_wave_range(triangle_wave_range const&) = default;
|
||||
|
|
@ -81,7 +83,7 @@ namespace sprout {
|
|||
)
|
||||
: base_type(
|
||||
iterator(0, frequency, amplitude, phase),
|
||||
iterator(-1, frequency, amplitude, phase)
|
||||
iterator(std::numeric_limits<difference_type>::max(), frequency, amplitude, phase)
|
||||
)
|
||||
{}
|
||||
SPROUT_CONSTEXPR value_type frequency() const {
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue