Rollback bad commits! Sorry!
From-SVN: r260003
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b118dfdb6d
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eda0ab6ec6
7 changed files with 43 additions and 154 deletions
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@ -2408,7 +2408,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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__v = __v * __v * __v;
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__u = __aurng();
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}
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while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n
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while (__u > result_type(1.0) - 0.331 * __n * __n * __n * __n
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&& (std::log(__u) > (0.5 * __n * __n + __a1
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* (1.0 - __v + std::log(__v)))));
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@ -2429,7 +2429,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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__v = __v * __v * __v;
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__u = __aurng();
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}
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while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n
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while (__u > result_type(1.0) - 0.331 * __n * __n * __n * __n
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&& (std::log(__u) > (0.5 * __n * __n + __a1
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* (1.0 - __v + std::log(__v)))));
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@ -70,7 +70,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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/// Return phase angle of @a z.
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template<typename _Tp> _Tp arg(const complex<_Tp>&);
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/// Return @a z magnitude squared.
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template<typename _Tp> _Tp _GLIBCXX_CONSTEXPR norm(const complex<_Tp>&);
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template<typename _Tp> _Tp norm(const complex<_Tp>&);
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/// Return complex conjugate of @a z.
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template<typename _Tp> complex<_Tp> conj(const complex<_Tp>&);
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@ -322,7 +322,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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//@{
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/// Return new complex value @a x plus @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __x;
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@ -331,7 +331,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator+(const complex<_Tp>& __x, const _Tp& __y)
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{
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complex<_Tp> __r = __x;
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@ -340,7 +340,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator+(const _Tp& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __y;
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@ -352,7 +352,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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//@{
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/// Return new complex value @a x minus @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __x;
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@ -361,7 +361,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator-(const complex<_Tp>& __x, const _Tp& __y)
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{
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complex<_Tp> __r = __x;
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@ -370,7 +370,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator-(const _Tp& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r(__x, -__y.imag());
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@ -382,7 +382,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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//@{
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/// Return new complex value @a x times @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator*(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __x;
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@ -391,7 +391,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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inline _GLIBCXX_CONSTEXPR complex<_Tp>
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inline complex<_Tp>
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operator*(const complex<_Tp>& __x, const _Tp& __y)
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{
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complex<_Tp> __r = __x;
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@ -400,7 +400,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator*(const _Tp& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __y;
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@ -412,7 +412,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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//@{
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/// Return new complex value @a x divided by @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator/(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __x;
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@ -421,7 +421,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator/(const complex<_Tp>& __x, const _Tp& __y)
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{
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complex<_Tp> __r = __x;
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@ -430,7 +430,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator/(const _Tp& __x, const complex<_Tp>& __y)
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{
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complex<_Tp> __r = __x;
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@ -441,30 +441,30 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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/// Return @a x.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator+(const complex<_Tp>& __x)
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{ return __x; }
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/// Return complex negation of @a x.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline complex<_Tp>
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inline complex<_Tp>
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operator-(const complex<_Tp>& __x)
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{ return complex<_Tp>(-__x.real(), -__x.imag()); }
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//@{
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/// Return true if @a x is equal to @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{ return __x.real() == __y.real() && __x.imag() == __y.imag(); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator==(const complex<_Tp>& __x, const _Tp& __y)
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{ return __x.real() == __y && __x.imag() == _Tp(); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator==(const _Tp& __x, const complex<_Tp>& __y)
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{ return __x == __y.real() && _Tp() == __y.imag(); }
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//@}
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@ -472,17 +472,17 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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//@{
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/// Return false if @a x is equal to @a y.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
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{ return __x.real() != __y.real() || __x.imag() != __y.imag(); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator!=(const complex<_Tp>& __x, const _Tp& __y)
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{ return __x.real() != __y || __x.imag() != _Tp(); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline bool
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inline _GLIBCXX_CONSTEXPR bool
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operator!=(const _Tp& __x, const complex<_Tp>& __y)
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{ return __x != __y.real() || _Tp() != __y.imag(); }
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//@}
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@ -658,7 +658,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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struct _Norm_helper
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{
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template<typename _Tp>
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static _GLIBCXX_CONSTEXPR inline _Tp _S_do_it(const complex<_Tp>& __z)
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static inline _Tp _S_do_it(const complex<_Tp>& __z)
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{
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const _Tp __x = __z.real();
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const _Tp __y = __z.imag();
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@ -670,7 +670,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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struct _Norm_helper<true>
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{
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template<typename _Tp>
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static _GLIBCXX_CONSTEXPR inline _Tp _S_do_it(const complex<_Tp>& __z)
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static inline _Tp _S_do_it(const complex<_Tp>& __z)
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{
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_Tp __res = std::abs(__z);
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return __res * __res;
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@ -678,7 +678,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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};
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline _Tp
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inline _Tp
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norm(const complex<_Tp>& __z)
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{
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return _Norm_helper<__is_floating<_Tp>::__value
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@ -1866,7 +1866,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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{ return _Tp(); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline typename __gnu_cxx::__promote<_Tp>::__type
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inline typename __gnu_cxx::__promote<_Tp>::__type
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norm(_Tp __x)
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{
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typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
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@ -1905,11 +1905,10 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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// Forward declarations.
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// DR 781.
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR std::complex<_Tp> proj(const std::complex<_Tp>&);
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template<typename _Tp> std::complex<_Tp> proj(const std::complex<_Tp>&);
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR std::complex<_Tp>
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std::complex<_Tp>
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__complex_proj(const std::complex<_Tp>& __z)
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{
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const _Tp __den = (__z.real() * __z.real()
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@ -1920,25 +1919,25 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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}
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#if _GLIBCXX_USE_C99_COMPLEX
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_GLIBCXX_CONSTEXPR inline __complex__ float
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inline __complex__ float
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__complex_proj(__complex__ float __z)
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{ return __builtin_cprojf(__z); }
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_GLIBCXX_CONSTEXPR inline __complex__ double
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inline __complex__ double
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__complex_proj(__complex__ double __z)
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{ return __builtin_cproj(__z); }
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_GLIBCXX_CONSTEXPR inline __complex__ long double
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inline __complex__ long double
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__complex_proj(const __complex__ long double& __z)
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{ return __builtin_cprojl(__z); }
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline std::complex<_Tp>
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inline std::complex<_Tp>
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proj(const std::complex<_Tp>& __z)
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{ return __complex_proj(__z.__rep()); }
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#else
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template<typename _Tp>
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_GLIBCXX_CONSTEXPR inline std::complex<_Tp>
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inline std::complex<_Tp>
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proj(const std::complex<_Tp>& __z)
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{ return __complex_proj(__z); }
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#endif
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@ -353,47 +353,21 @@ namespace tr1
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* @param __x The argument of the Bessel functions.
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* @param __Jnu The output Bessel function of the first kind.
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* @param __Nnu The output Neumann function (Bessel function of the second kind).
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*
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* Adapted for libstdc++ from GNU GSL version 2.4 specfunc/bessel_j.c
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* Copyright (C) 1996,1997,1998,1999,2000,2001,2002,2003 Gerard Jungman
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*/
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template <typename _Tp>
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void
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__cyl_bessel_jn_asymp(_Tp __nu, _Tp __x, _Tp & __Jnu, _Tp & __Nnu)
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{
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const _Tp __mu = _Tp(4) * __nu * __nu;
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const _Tp __8x = _Tp(8) * __x;
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_Tp __P = _Tp(0);
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_Tp __Q = _Tp(0);
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_Tp k = _Tp(0);
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_Tp __term = _Tp(1);
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int __epsP = 0;
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int __epsQ = 0;
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_Tp __eps = std::numeric_limits<_Tp>::epsilon();
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do
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{
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__term *= (k == 0) ? _Tp(1) : -(__mu - (2 * k - 1) * (2 * k - 1)) / (k * __8x);
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__epsP = std::abs(__term) < std::abs(__eps * __P);
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__P += __term;
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k++;
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__term *= (__mu - (2 * k - 1) * (2 * k - 1)) / (k * __8x);
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__epsQ = std::abs(__term) < std::abs(__eps * __Q);
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__Q += __term;
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if (__epsP && __epsQ && k > __nu / 2.)
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break;
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k++;
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}
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while (k < 1000);
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const _Tp __mum1 = __mu - _Tp(1);
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const _Tp __mum9 = __mu - _Tp(9);
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const _Tp __mum25 = __mu - _Tp(25);
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const _Tp __mum49 = __mu - _Tp(49);
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const _Tp __xx = _Tp(64) * __x * __x;
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const _Tp __P = _Tp(1) - __mum1 * __mum9 / (_Tp(2) * __xx)
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* (_Tp(1) - __mum25 * __mum49 / (_Tp(12) * __xx));
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const _Tp __Q = __mum1 / (_Tp(8) * __x)
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* (_Tp(1) - __mum9 * __mum25 / (_Tp(6) * __xx));
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const _Tp __chi = __x - (__nu + _Tp(0.5L))
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* __numeric_constants<_Tp>::__pi_2();
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@ -698,26 +698,6 @@ data026[21] =
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};
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const double toler026 = 1.0000000000000006e-11;
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// Test data for nu=100.00000000000000.
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// max(|f - f_GSL|): 2.5857788132910287e-14
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// max(|f - f_GSL| / |f_GSL|): 1.6767662425535933e-11
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const testcase_cyl_bessel_j<double>
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data027[11] =
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{
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{ 0.0116761350077845, 100.0000000000000000, 1000.0000000000000000, 0.0 },
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{-0.0116998547780258, 100.0000000000000000, 1100.0000000000000000, 0.0 },
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{-0.0228014834050837, 100.0000000000000000, 1200.0000000000000000, 0.0 },
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{-0.0169735007873739, 100.0000000000000000, 1300.0000000000000000, 0.0 },
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{-0.0014154528803530, 100.0000000000000000, 1400.0000000000000000, 0.0 },
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{ 0.0133337265844988, 100.0000000000000000, 1500.0000000000000000, 0.0 },
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{ 0.0198025620201474, 100.0000000000000000, 1600.0000000000000000, 0.0 },
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{ 0.0161297712798388, 100.0000000000000000, 1700.0000000000000000, 0.0 },
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{ 0.0053753369281577, 100.0000000000000000, 1800.0000000000000000, 0.0 },
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{-0.0069238868725646, 100.0000000000000000, 1900.0000000000000000, 0.0 },
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{-0.0154878717200738, 100.0000000000000000, 2000.0000000000000000, 0.0 },
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};
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const double toler027 = 1.0000000000000006e-10;
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template<typename Ret, unsigned int Num>
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void
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test(const testcase_cyl_bessel_j<Ret> (&data)[Num], Ret toler)
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@ -768,6 +748,5 @@ main()
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test(data024, toler024);
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test(data025, toler025);
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test(data026, toler026);
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test(data027, toler027);
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return 0;
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}
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@ -742,26 +742,6 @@ data028[20] =
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};
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const double toler028 = 1.0000000000000006e-11;
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// Test data for nu=100.00000000000000.
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// max(|f - f_GSL|): 3.1049815496508870e-14
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// max(|f - f_GSL| / |f_GSL|): 8.4272302674970308e-12
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const testcase_cyl_neumann<double>
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data029[11] =
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{
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{-0.0224386882577326, 100.0000000000000000, 1000.0000000000000000, 0.0 },
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{-0.0210775951598200, 100.0000000000000000, 1100.0000000000000000, 0.0 },
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{-0.0035299439206693, 100.0000000000000000, 1200.0000000000000000, 0.0 },
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{ 0.0142500193265366, 100.0000000000000000, 1300.0000000000000000, 0.0 },
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{ 0.0213046790897353, 100.0000000000000000, 1400.0000000000000000, 0.0 },
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{ 0.0157343950779022, 100.0000000000000000, 1500.0000000000000000, 0.0 },
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{ 0.0025544633636228, 100.0000000000000000, 1600.0000000000000000, 0.0 },
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{-0.0107220455248494, 100.0000000000000000, 1700.0000000000000000, 0.0 },
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{-0.0180369192432256, 100.0000000000000000, 1800.0000000000000000, 0.0 },
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{-0.0169584155930798, 100.0000000000000000, 1900.0000000000000000, 0.0 },
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{-0.0088788704566206, 100.0000000000000000, 2000.0000000000000000, 0.0 },
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};
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const double toler029 = 1.0000000000000006e-11;
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template<typename Ret, unsigned int Num>
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void
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test(const testcase_cyl_neumann<Ret> (&data)[Num], Ret toler)
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@ -814,6 +794,5 @@ main()
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test(data026, toler026);
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test(data027, toler027);
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test(data028, toler028);
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test(data029, toler029);
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return 0;
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}
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@ -698,26 +698,6 @@ data026[21] =
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};
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const double toler026 = 1.0000000000000006e-11;
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// Test data for nu=100.00000000000000.
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// max(|f - f_GSL|): 2.5857788132910287e-14
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// max(|f - f_GSL| / |f_GSL|): 1.6767662425535933e-11
|
||||
const testcase_cyl_bessel_j<double>
|
||||
data027[11] =
|
||||
{
|
||||
{ 0.0116761350077845, 100.0000000000000000, 1000.0000000000000000, 0.0 },
|
||||
{-0.0116998547780258, 100.0000000000000000, 1100.0000000000000000, 0.0 },
|
||||
{-0.0228014834050837, 100.0000000000000000, 1200.0000000000000000, 0.0 },
|
||||
{-0.0169735007873739, 100.0000000000000000, 1300.0000000000000000, 0.0 },
|
||||
{-0.0014154528803530, 100.0000000000000000, 1400.0000000000000000, 0.0 },
|
||||
{ 0.0133337265844988, 100.0000000000000000, 1500.0000000000000000, 0.0 },
|
||||
{ 0.0198025620201474, 100.0000000000000000, 1600.0000000000000000, 0.0 },
|
||||
{ 0.0161297712798388, 100.0000000000000000, 1700.0000000000000000, 0.0 },
|
||||
{ 0.0053753369281577, 100.0000000000000000, 1800.0000000000000000, 0.0 },
|
||||
{-0.0069238868725646, 100.0000000000000000, 1900.0000000000000000, 0.0 },
|
||||
{-0.0154878717200738, 100.0000000000000000, 2000.0000000000000000, 0.0 },
|
||||
};
|
||||
const double toler027 = 1.0000000000000006e-10;
|
||||
|
||||
template<typename Ret, unsigned int Num>
|
||||
void
|
||||
test(const testcase_cyl_bessel_j<Ret> (&data)[Num], Ret toler)
|
||||
|
@ -768,6 +748,5 @@ main()
|
|||
test(data024, toler024);
|
||||
test(data025, toler025);
|
||||
test(data026, toler026);
|
||||
test(data027, toler027);
|
||||
return 0;
|
||||
}
|
||||
|
|
|
@ -742,26 +742,6 @@ data028[20] =
|
|||
};
|
||||
const double toler028 = 1.0000000000000006e-11;
|
||||
|
||||
// Test data for nu=100.00000000000000.
|
||||
// max(|f - f_GSL|): 3.1049815496508870e-14
|
||||
// max(|f - f_GSL| / |f_GSL|): 8.4272302674970308e-12
|
||||
const testcase_cyl_neumann<double>
|
||||
data029[11] =
|
||||
{
|
||||
{-0.0224386882577326, 100.0000000000000000, 1000.0000000000000000, 0.0 },
|
||||
{-0.0210775951598200, 100.0000000000000000, 1100.0000000000000000, 0.0 },
|
||||
{-0.0035299439206693, 100.0000000000000000, 1200.0000000000000000, 0.0 },
|
||||
{ 0.0142500193265366, 100.0000000000000000, 1300.0000000000000000, 0.0 },
|
||||
{ 0.0213046790897353, 100.0000000000000000, 1400.0000000000000000, 0.0 },
|
||||
{ 0.0157343950779022, 100.0000000000000000, 1500.0000000000000000, 0.0 },
|
||||
{ 0.0025544633636228, 100.0000000000000000, 1600.0000000000000000, 0.0 },
|
||||
{-0.0107220455248494, 100.0000000000000000, 1700.0000000000000000, 0.0 },
|
||||
{-0.0180369192432256, 100.0000000000000000, 1800.0000000000000000, 0.0 },
|
||||
{-0.0169584155930798, 100.0000000000000000, 1900.0000000000000000, 0.0 },
|
||||
{-0.0088788704566206, 100.0000000000000000, 2000.0000000000000000, 0.0 },
|
||||
};
|
||||
const double toler029 = 1.0000000000000006e-11;
|
||||
|
||||
template<typename Ret, unsigned int Num>
|
||||
void
|
||||
test(const testcase_cyl_neumann<Ret> (&data)[Num], Ret toler)
|
||||
|
@ -814,6 +794,5 @@ main()
|
|||
test(data026, toler026);
|
||||
test(data027, toler027);
|
||||
test(data028, toler028);
|
||||
test(data029, toler029);
|
||||
return 0;
|
||||
}
|
||||
|
|
Loading…
Add table
Reference in a new issue