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replace implementation <cmath> functions to Sprout.Math.Functions

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bolero-MURAKAMI 2012-05-09 10:15:19 +09:00
parent 6ccd6e1cf4
commit 6bb2d0fb87
21 changed files with 212 additions and 106 deletions
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75
sprout/complex.hpp
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@ -1,11 +1,20 @@
#ifndef SPROUT_COMPLEX_HPP
#define SPROUT_COMPLEX_HPP
#include <cmath>
#include <iosfwd>
#include <ios>
#include <sprout/config.hpp>
#include <sprout/math/constants.hpp>
#include <sprout/math/abs.hpp>
#include <sprout/math/sin.hpp>
#include <sprout/math/cos.hpp>
#include <sprout/math/atan2.hpp>
#include <sprout/math/sinh.hpp>
#include <sprout/math/cosh.hpp>
#include <sprout/math/exp.hpp>
#include <sprout/math/log.hpp>
#include <sprout/math/pow.hpp>
#include <sprout/math/sqrt.hpp>
namespace sprout {
template<typename T>
@ -281,12 +290,12 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR T abs(sprout::complex<T> const& x) {
using std::sqrt;
using sprout::sqrt;
return sqrt(sprout::norm(x));
}
template<typename T>
SPROUT_CONSTEXPR T arg(sprout::complex<T> const& x) {
using std::atan2;
using sprout::atan2;
return atan2(x.imag(), x.real());
}
template<typename T>
@ -315,8 +324,8 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> polar(T const& rho, T const& theta = 0) {
using std::cos;
using std::sin;
using sprout::cos;
using sprout::sin;
return sprout::complex<T>(rho * cos(theta), rho * sin(theta));
}
// 26.4.8, transcendentals:
@ -388,8 +397,8 @@ namespace sprout {
T const& den
)
{
using std::atan2;
using std::log;
using sprout::atan2;
using sprout::log;
return sprout::complex<T>(
T(0.5) * atan2(T(2) * x.real(), z),
T(0.25) * log((r2 + num * num) / (r2 + den * den))
@ -440,8 +449,8 @@ namespace sprout {
T const& den
)
{
using std::atan2;
using std::log;
using sprout::atan2;
using sprout::log;
return sprout::complex<T>(
T(0.25) * (log(i2 + num * num) - log(i2 + den * den)),
T(0.5) * atan2(T(2) * x.imag(), z)
@ -468,10 +477,10 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> cos(sprout::complex<T> const& x) {
using std::cos;
using std::sin;
using std::cosh;
using std::sinh;
using sprout::cos;
using sprout::sin;
using sprout::cosh;
using sprout::sinh;
return sprout::complex<T>(
cos(x.real()) * cosh(x.imag()),
-(sin(x.real()) * sinh(x.imag()))
@ -479,10 +488,10 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> cosh(sprout::complex<T> const& x) {
using std::cos;
using std::sin;
using std::cosh;
using std::sinh;
using sprout::cos;
using sprout::sin;
using sprout::cosh;
using sprout::sinh;
return sprout::complex<T>(
cosh(x.real()) * cos(x.imag()),
sinh(x.real()) * sin(x.imag())
@ -490,7 +499,7 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> exp(sprout::complex<T> const& x) {
using std::exp;
using sprout::exp;
return sprout::polar(exp(x.real()), x.imag());
}
template<typename T>
@ -499,19 +508,19 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> log10(sprout::complex<T> const& x) {
using std::log;
using sprout::log;
return sprout::log(x) / log(T(10));
}
namespace detail {
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> pow_impl(sprout::complex<T> const& t, T const& y) {
using std::exp;
using sprout::exp;
return sprout::polar(exp(y * t.real()), y * t.imag());
}
} // namespace detail
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> pow(sprout::complex<T> const& x, T const& y) {
using std::pow;
using sprout::pow;
return x == T() ? T()
: x.imag() == T() && x.real() > T() ? pow(x.real(), y)
: sprout::detail::pow_impl(sprout::log(x), y)
@ -525,17 +534,17 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> pow(T const& x, sprout::complex<T> const& y) {
using std::log;
using sprout::log;
return x > T() ? sprout::polar(sprout::pow(x, y.real()), y.imag() * log(x))
: sprout::pow(sprout::complex<T>(x), y)
;
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> sin(sprout::complex<T> const& x) {
using std::cos;
using std::sin;
using std::cosh;
using std::sinh;
using sprout::cos;
using sprout::sin;
using sprout::cosh;
using sprout::sinh;
return sprout::complex<T>(
sin(x.real()) * cosh(x.imag()),
cos(x.real()) * sinh(x.imag())
@ -543,10 +552,10 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> sinh(sprout::complex<T> const& x) {
using std::cos;
using std::sin;
using std::cosh;
using std::sinh;
using sprout::cos;
using sprout::sin;
using sprout::cosh;
using sprout::sinh;
return sprout::complex<T>(
sinh(x.real()) * cos(x.imag()),
cosh(x.real()) * sin(x.imag())
@ -559,7 +568,7 @@ namespace sprout {
}
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> sqrt_impl_2_1(sprout::complex<T> const& x, T const& t, T const& u) {
using std::abs;
using sprout::abs;
return x.real() > T() ? sprout::complex<T>(u, x.imag() / t)
: sprout::complex<T>(abs(x.imag()) / t, x.imag() < T() ? -u : u)
;
@ -571,8 +580,8 @@ namespace sprout {
} // namespace detail
template<typename T>
SPROUT_CONSTEXPR sprout::complex<T> sqrt(sprout::complex<T> const& x) {
using std::sqrt;
using std::abs;
using sprout::sqrt;
using sprout::abs;
return x.real() == T() ? sprout::detail::sqrt_impl_1(x, sqrt(abs(x.imag()) / 2))
: sprout::detail::sqrt_impl_2(x, sqrt(2 * (sprout::abs(x) + abs(x.real()))))
;