C++ (Cpp) complex示例

示例#1

文件： arithmetic_operators.hpp 项目： bolero-MURAKAMI/Sprout

		inline SPROUT_CONSTEXPR sprout::math::quaternion<T>
		operator*(sprout::math::quaternion<T> const& lhs, sprout::complex<T> const& rhs) {
			return sprout::math::detail::mul_qc_impl(
				rhs.R_component_1(), rhs.R_component_2(), rhs.R_component_3(), rhs.R_component_4(),
				lhs.real(), lhs.imag()
				);
		}

示例#2

文件： arithmetic_operators.hpp 项目： bolero-MURAKAMI/Sprout

		inline SPROUT_CONSTEXPR sprout::math::quaternion<T>
		operator/(sprout::math::quaternion<T> const& lhs, sprout::complex<T> const& rhs) {
			return sprout::math::detail::div_qq_impl(
				lhs.R_component_1(), lhs.R_component_2(), lhs.R_component_3(), lhs.R_component_4(),
				sprout::array<T, 4>{{rhs.real(), rhs.imag(), static_cast<T>(0), static_cast<T>(0)}}
				);
		}

示例#3

文件： values.hpp 项目： jimbeamman/Sprout

		inline SPROUT_CONSTEXPR sprout::complex<T>
		proj_impl(sprout::complex<T> const& x, T const& den) {
			return sprout::complex<T>(
				T(2) * x.real() / den,
				T(2) * x.imag() / den
				);
		}

示例#4

文件： copysign_mul.hpp 项目： kundor/Sprout

		inline SPROUT_CONSTEXPR sprout::complex<T>
		copysign_mul(T const& t, sprout::complex<T> const& z) {
			return sprout::complex<T>(
				sprout::math::copysign(t, z.real()),
				sprout::math::copysign(t, z.imag())
				);
		}

示例#5

文件： arithmetic_operators.hpp 项目： bolero-MURAKAMI/Sprout

		inline SPROUT_CONSTEXPR bool
		operator==(sprout::math::quaternion<T> const& lhs, sprout::complex<T> const& rhs) {
			return lhs.R_component_1() == rhs.real()
				&& lhs.R_component_2() == rhs.imag()
				&& lhs.R_component_3() == static_cast<T>(0)
				&& lhs.R_component_4() == static_cast<T>(0)
				;
		}

示例#6

文件： arithmetic_operators.hpp 项目： bolero-MURAKAMI/Sprout

		inline SPROUT_CONSTEXPR sprout::math::quaternion<T>
		operator+(sprout::math::quaternion<T> const& lhs, sprout::complex<T> const& rhs) {
			return sprout::math::quaternion<T>(
				lhs.R_component_1() + rhs.real(),
				lhs.R_component_2() + rhs.imag(),
				lhs.R_component_3(),
				lhs.R_component_4()
				);
		}

示例#7

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
operator*(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs) {
    return sprout::complex<T>(
               lhs.real() * rhs.real() - lhs.imag() * rhs.imag(),
               lhs.real() * rhs.imag() + lhs.imag() * rhs.real()
           );
}

示例#8

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
divides_impl(sprout::complex<T> const& lhs, sprout::complex<T> const& rhs, T const& n) {
    return sprout::complex<T>(
               (lhs.real() * rhs.real() + lhs.imag() * rhs.imag()) / n,
               (lhs.imag() * rhs.real() - lhs.real() * rhs.imag()) / n
           );
}

示例#9

文件： arg.hpp 项目： LoliGothick/Sprout

	inline SPROUT_CONSTEXPR T
	arg(sprout::complex<T> const& x) {
		return sprout::math::atan2(x.imag(), x.real());
	}

示例#10

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(T const& lhs, sprout::complex<T> const& rhs) {
    return sprout::complex<T>(lhs - rhs.real(), -rhs.imag());
}

示例#11

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR bool
operator==(T const& lhs, sprout::complex<T> const& rhs) {
    return lhs == rhs.real() && T() == rhs.imag();
}

示例#12

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
operator-(sprout::complex<T> const& x) {
    return sprout::complex<T>(-x.real(), -x.imag());
}

示例#13

文件： values.hpp 项目： jimbeamman/Sprout

	inline SPROUT_CONSTEXPR T
	norm(sprout::complex<T> const& x) {
		return x.real() * x.real() + x.imag() * x.imag();
	}

示例#14

文件： sqrt.hpp 项目： bolero-MURAKAMI/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
sqrt(sprout::complex<T> const& x) {
    typedef sprout::complex<T> type;
    return sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), x.imag())
           : sprout::math::isnan(x.real())
           ? sprout::math::isnan(x.imag()) ? type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
           : type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
           : sprout::math::isnan(x.imag())
           ? x.real() == sprout::numeric_limits<T>::infinity()
           ? type(sprout::numeric_limits<T>::infinity(), sprout::math::copysign(sprout::numeric_limits<T>::quiet_NaN(), x.imag()))
           : x.real() == -sprout::numeric_limits<T>::infinity()
           ? type(
               sprout::math::copysign(sprout::numeric_limits<T>::quiet_NaN(), x.imag()),
               sprout::math::copysign(sprout::numeric_limits<T>::infinity(), x.imag())
           )
           : type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
           : x.real() == sprout::numeric_limits<T>::infinity()
           ? type(sprout::numeric_limits<T>::infinity(), (x.imag() == 0 ? x.imag() : sprout::math::copysign(T(0), x.imag())))
           : x.real() == -sprout::numeric_limits<T>::infinity()
           ? type(T(0), sprout::math::copysign(T(0), x.imag()))
           : x.real() == 0 && x.imag() == 0 ? type(T(0), x.imag())
           : x.real() == 0 ? sprout::detail::sqrt_impl_1(x, sprout::math::sqrt(sprout::math::abs(x.imag()) / T(2)))
           : sprout::detail::sqrt_impl_2(x, sprout::math::sqrt(T(2) * (sprout::abs(x) + sprout::math::abs(x.real()))))
           ;
}

示例#15

文件： sqrt.hpp 项目： bolero-MURAKAMI/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
sqrt_impl_1(sprout::complex<T> const& x, T const& t) {
    return sprout::complex<T>(t, sprout::math::signbit(x.imag()) ? -t : t);
}

示例#16

文件： hash.hpp 项目： siyuano/Sprout

	inline SPROUT_CONSTEXPR std::size_t
	hash_value(sprout::complex<T> const& v) {
		return sprout::hash_values(v.real(), v.imag());
	}

示例#17

文件： atanh.hpp 项目： qiqisteve/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
atanh(sprout::complex<T> const& x) {
    typedef sprout::complex<T> type;
    return sprout::math::isnan(x.real())
           ? sprout::math::isnan(x.imag()) ? type(x.imag(), x.imag())
           : sprout::math::isinf(x.imag()) ? type(sprout::math::copysign(T(0), x.real()), sprout::math::copysign(sprout::math::half_pi<T>(), x.imag()))
           : type(x.real(), x.real())
           : sprout::math::isnan(x.imag())
           ? sprout::math::isinf(x.real()) ? type(sprout::math::copysign(T(0), x.real()), x.imag())
           : x.real() == 0 ? x
           : type(x.imag(), x.imag())
           : sprout::math::isinf(x.real()) || sprout::math::isinf(x.imag())
           ? type(sprout::math::copysign(T(0), x.real()), sprout::math::copysign(sprout::math::half_pi<T>(), x.imag()))
           : x.real() == 0 && x.imag() == 0 ? x
           : (x.real() == 1 || x.real() == -1) && x.imag() == 0 ? type(sprout::math::copysign(sprout::numeric_limits<T>::infinity(), x.real()), x.imag())
           : (sprout::log(T(1) + x) - sprout::log(T(1) - x)) / T(2)
           ;
}

示例#18

文件： acosh.hpp 项目： dnovick/Sprout

	inline SPROUT_CONSTEXPR sprout::complex<T>
	acosh(sprout::complex<T> const& x) {
		typedef sprout::complex<T> type;
		return sprout::math::isnan(x.real())
				? sprout::math::isnan(x.imag()) ? x
				: sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), x.real())
				: type(x.real(), x.real())
			: sprout::math::isnan(x.imag())
				? sprout::math::isinf(x.real()) ? type(sprout::numeric_limits<T>::infinity(), x.imag())
				: type(sprout::numeric_limits<T>::quiet_NaN(), x.imag())
			: x.real() == sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), sprout::math::copysign(sprout::math::quarter_pi<T>(), x.imag()))
				: type(sprout::numeric_limits<T>::infinity(), (x.imag() == 0 ? x.imag() : sprout::math::copysign(T(0), x.imag())))
			: x.real() == -sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), sprout::math::copysign(sprout::math::three_quarters_pi<T>(), x.imag()))
				: type(sprout::numeric_limits<T>::infinity(), sprout::math::copysign(sprout::math::pi<T>(), x.imag()))
			: sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), sprout::math::copysign(sprout::math::half_pi<T>(), x.imag()))
			: x.real() == 0 && x.imag() == 0 ? type(T(0), sprout::math::copysign(sprout::math::half_pi<T>(), x.imag()))
			: T(2) * sprout::log(sprout::sqrt(sprout::math::half<T>() * (x + T(1))) + sprout::sqrt(sprout::math::half<T>() * (x - T(1))))
			;
	}

示例#19

文件： operators.hpp 项目： kennethho/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
operator/(sprout::complex<T> const& lhs, T const& rhs) {
    return sprout::complex<T>(lhs.real() / rhs, lhs.imag() / rhs);
}

示例#20

文件： acos.hpp 项目： bolero-MURAKAMI/Sprout

		inline SPROUT_CONSTEXPR sprout::complex<T>
		acos_impl(sprout::complex<T> const& t) {
			return sprout::complex<T>(sprout::math::half_pi<T>() - t.real(), -t.imag());
		}

示例#21

文件： log2.hpp 项目： kundor/Sprout

		inline SPROUT_CONSTEXPR sprout::complex<T>
		log2_impl(sprout::complex<T> const& z) {
			return sprout::math::isnan(z.real()) || sprout::math::isnan(z.imag()) ? z
				: z / sprout::math::ln_two<T>()
				;
		}

示例#22

文件： acos.hpp 项目： bolero-MURAKAMI/Sprout

	inline SPROUT_CONSTEXPR sprout::complex<T>
	acos(sprout::complex<T> const& x) {
		typedef sprout::complex<T> type;
		return sprout::math::isnan(x.real())
				? sprout::math::isnan(x.imag()) ? x
				: sprout::math::isinf(x.imag()) ? type(x.real(), -x.imag())
				: type(x.real(), sprout::numeric_limits<T>::quiet_NaN())
			: sprout::math::isnan(x.imag())
				? sprout::math::isinf(x.real()) ? type(sprout::numeric_limits<T>::quiet_NaN(), x.real())
				: x.real() == 0 ? type(sprout::math::half_pi<T>(), x.imag())
				: type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
			: x.real() == sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(sprout::math::quarter_pi<T>(), -x.imag())
				: type(T(0), sprout::math::copysign(sprout::numeric_limits<T>::infinity(), -x.imag()))
			: x.real() == -sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(sprout::math::three_quarters_pi<T>(), -x.imag())
				: type(sprout::math::pi<T>(), sprout::math::copysign(sprout::numeric_limits<T>::infinity(), -x.imag()))
			: sprout::math::isinf(x.imag()) ? type(sprout::math::half_pi<T>(), sprout::math::copysign(sprout::numeric_limits<T>::infinity(), -x.imag()))
			: x.real() == 0 && x.imag() == 0 ? type(sprout::math::half_pi<T>(), -x.imag())
			: sprout::detail::acos_impl(sprout::asin(x))
			;
	}

示例#23

文件： sqrt.hpp 项目： bolero-MURAKAMI/Sprout

inline SPROUT_CONSTEXPR sprout::complex<T>
sqrt_impl_2_1(sprout::complex<T> const& x, T const& t, T const& u) {
    return x.real() > T(0) ? sprout::complex<T>(u, x.imag() / t)
           : sprout::complex<T>(sprout::math::abs(x.imag()) / t, sprout::math::signbit(x.imag()) ? -u : u)
           ;
}

示例#24

文件： nearest.hpp 项目： darkfall/Sprout

	inline SPROUT_CONSTEXPR sprout::complex<T> round(sprout::complex<T> const& x) {
		return sprout::complex<T>(sprout::round(x.real()), sprout::round(x.imag()));
	}

示例#25

文件： exp.hpp 项目： kundor/Sprout

	inline SPROUT_CONSTEXPR sprout::complex<T>
	exp(sprout::complex<T> const& x) {
		typedef sprout::complex<T> type;
		return sprout::math::isnan(x.real())
				? sprout::math::isnan(x.imag()) ? type(x.real(), x.real())
				: x.imag() == 0 ? type(x.real(), x.imag())
				: type(x.real(), x.real())
			: sprout::math::isnan(x.imag())
				? x.real() == sprout::numeric_limits<T>::infinity() ? type(x.real(), x.imag())
				: x.real() == -sprout::numeric_limits<T>::infinity() ? type(T(0), T(0))
				: sprout::math::isinf(x.real()) ? type(sprout::numeric_limits<T>::infinity(), sprout::numeric_limits<T>::quiet_NaN())
				: type(x.imag(), x.imag())
			: x.real() == sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(sprout::numeric_limits<T>::infinity(), sprout::numeric_limits<T>::quiet_NaN())
				: x.imag() == 0 ? type(sprout::numeric_limits<T>::infinity(), x.imag())
				: sprout::detail::copysign_mul(sprout::numeric_limits<T>::infinity(), sprout::euler(x.imag()))
			: x.real() == -sprout::numeric_limits<T>::infinity()
				? sprout::math::isinf(x.imag()) ? type(T(0), T(0))
				: T(0) * sprout::euler(x.imag())
			: sprout::math::isinf(x.imag())
				? type(-sprout::numeric_limits<T>::quiet_NaN(), -sprout::numeric_limits<T>::quiet_NaN())
			: x.real() == 0 && x.imag() == 0 ? type(T(1), x.imag())
			: sprout::polar(sprout::math::exp(x.real()), x.imag())
			;
	}

示例#26

文件： tanh.hpp 项目： bolero-MURAKAMI/Sprout

	inline SPROUT_CONSTEXPR sprout::complex<T>
	tanh(sprout::complex<T> const& x) {
		typedef sprout::complex<T> type;
		return sprout::math::isnan(x.real())
				? sprout::math::isnan(x.imag()) ? x
				: x.imag() == 0 ? x
				: type(x.real(), x.real())
			: sprout::math::isnan(x.imag())
				? sprout::math::isinf(x.real()) ? type(T(1), T(0))
				: type(x.imag(), x.imag())
			: sprout::math::isinf(x.real())
				? sprout::math::isinf(x.imag()) ? type(T(1), T(0))
				: type(T(1), T(0) * sprout::math::sin(T(2) * x.imag()))
			: sprout::math::isinf(x.imag())
				? type(-sprout::numeric_limits<T>::quiet_NaN(), -sprout::numeric_limits<T>::quiet_NaN())
			: x.real() == 0 && x.imag() == 0 ? x
			: sprout::sinh(x) / sprout::cosh(x)
			;
	}