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backporting LLT accuracy fixes
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@@ -26,6 +26,7 @@
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#define EIGEN_MATHFUNCTIONS_H
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template<typename T> inline typename NumTraits<T>::Real precision();
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template<typename T> inline typename NumTraits<T>::Real machine_epsilon();
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template<typename T> inline T ei_random(T a, T b);
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template<typename T> inline T ei_random();
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template<typename T> inline T ei_random_amplitude()
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@@ -49,6 +50,7 @@ template<typename T> inline T ei_hypot(T x, T y)
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**************/
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template<> inline int precision<int>() { return 0; }
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template<> inline int machine_epsilon<int>() { return 0; }
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inline int ei_real(int x) { return x; }
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inline int ei_imag(int) { return 0; }
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inline int ei_conj(int x) { return x; }
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@@ -93,6 +95,7 @@ inline bool ei_isApproxOrLessThan(int a, int b, int = precision<int>())
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**************/
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template<> inline float precision<float>() { return 1e-5f; }
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template<> inline float machine_epsilon<float>() { return 1.192e-07f; }
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inline float ei_real(float x) { return x; }
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inline float ei_imag(float) { return 0.f; }
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inline float ei_conj(float x) { return x; }
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@@ -138,6 +141,8 @@ inline bool ei_isApproxOrLessThan(float a, float b, float prec = precision<float
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**************/
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template<> inline double precision<double>() { return 1e-11; }
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template<> inline double machine_epsilon<double>() { return 2.220e-16; }
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inline double ei_real(double x) { return x; }
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inline double ei_imag(double) { return 0.; }
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inline double ei_conj(double x) { return x; }
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@@ -183,6 +188,7 @@ inline bool ei_isApproxOrLessThan(double a, double b, double prec = precision<do
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*********************/
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template<> inline float precision<std::complex<float> >() { return precision<float>(); }
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template<> inline float machine_epsilon<std::complex<float> >() { return machine_epsilon<float>(); }
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inline float ei_real(const std::complex<float>& x) { return std::real(x); }
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inline float ei_imag(const std::complex<float>& x) { return std::imag(x); }
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inline std::complex<float> ei_conj(const std::complex<float>& x) { return std::conj(x); }
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@@ -216,6 +222,7 @@ inline bool ei_isApprox(const std::complex<float>& a, const std::complex<float>&
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**********************/
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template<> inline double precision<std::complex<double> >() { return precision<double>(); }
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template<> inline double machine_epsilon<std::complex<double> >() { return machine_epsilon<double>(); }
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inline double ei_real(const std::complex<double>& x) { return std::real(x); }
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inline double ei_imag(const std::complex<double>& x) { return std::imag(x); }
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inline std::complex<double> ei_conj(const std::complex<double>& x) { return std::conj(x); }
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@@ -250,6 +257,7 @@ inline bool ei_isApprox(const std::complex<double>& a, const std::complex<double
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******************/
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template<> inline long double precision<long double>() { return precision<double>(); }
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template<> inline long double machine_epsilon<long double>() { return 1.084e-19l; }
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inline long double ei_real(long double x) { return x; }
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inline long double ei_imag(long double) { return 0.; }
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inline long double ei_conj(long double x) { return x; }
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