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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_META_H
+#define EIGEN_META_H
+
+#if defined(__CUDA_ARCH__) && !defined(__GCUDACC__)
+#include <math_constants.h>
+#endif
+
+namespace Eigen {
+
+namespace internal {
+
+/** \internal
+ * \file Meta.h
+ * This file contains generic metaprogramming classes which are not specifically related to Eigen.
+ * \note In case you wonder, yes we're aware that Boost already provides all these features,
+ * we however don't want to add a dependency to Boost.
+ */
+
+struct true_type { enum { value = 1 }; };
+struct false_type { enum { value = 0 }; };
+
+template<bool Condition, typename Then, typename Else>
+struct conditional { typedef Then type; };
+
+template<typename Then, typename Else>
+struct conditional <false, Then, Else> { typedef Else type; };
+
+template<typename T, typename U> struct is_same { enum { value = 0 }; };
+template<typename T> struct is_same<T,T> { enum { value = 1 }; };
+
+template<typename T> struct remove_reference { typedef T type; };
+template<typename T> struct remove_reference<T&> { typedef T type; };
+
+template<typename T> struct remove_pointer { typedef T type; };
+template<typename T> struct remove_pointer<T*> { typedef T type; };
+template<typename T> struct remove_pointer<T*const> { typedef T type; };
+
+template <class T> struct remove_const { typedef T type; };
+template <class T> struct remove_const<const T> { typedef T type; };
+template <class T> struct remove_const<const T[]> { typedef T type[]; };
+template <class T, unsigned int Size> struct remove_const<const T[Size]> { typedef T type[Size]; };
+
+template<typename T> struct remove_all { typedef T type; };
+template<typename T> struct remove_all<const T> { typedef typename remove_all<T>::type type; };
+template<typename T> struct remove_all<T const&> { typedef typename remove_all<T>::type type; };
+template<typename T> struct remove_all<T&> { typedef typename remove_all<T>::type type; };
+template<typename T> struct remove_all<T const*> { typedef typename remove_all<T>::type type; };
+template<typename T> struct remove_all<T*> { typedef typename remove_all<T>::type type; };
+
+template<typename T> struct is_arithmetic { enum { value = false }; };
+template<> struct is_arithmetic<float> { enum { value = true }; };
+template<> struct is_arithmetic<double> { enum { value = true }; };
+template<> struct is_arithmetic<long double> { enum { value = true }; };
+template<> struct is_arithmetic<bool> { enum { value = true }; };
+template<> struct is_arithmetic<char> { enum { value = true }; };
+template<> struct is_arithmetic<signed char> { enum { value = true }; };
+template<> struct is_arithmetic<unsigned char> { enum { value = true }; };
+template<> struct is_arithmetic<signed short> { enum { value = true }; };
+template<> struct is_arithmetic<unsigned short>{ enum { value = true }; };
+template<> struct is_arithmetic<signed int> { enum { value = true }; };
+template<> struct is_arithmetic<unsigned int> { enum { value = true }; };
+template<> struct is_arithmetic<signed long> { enum { value = true }; };
+template<> struct is_arithmetic<unsigned long> { enum { value = true }; };
+
+template <typename T> struct add_const { typedef const T type; };
+template <typename T> struct add_const<T&> { typedef T& type; };
+
+template <typename T> struct is_const { enum { value = 0 }; };
+template <typename T> struct is_const<T const> { enum { value = 1 }; };
+
+template<typename T> struct add_const_on_value_type { typedef const T type; };
+template<typename T> struct add_const_on_value_type<T&> { typedef T const& type; };
+template<typename T> struct add_const_on_value_type<T*> { typedef T const* type; };
+template<typename T> struct add_const_on_value_type<T* const> { typedef T const* const type; };
+template<typename T> struct add_const_on_value_type<T const* const> { typedef T const* const type; };
+
+/** \internal Allows to enable/disable an overload
+ * according to a compile time condition.
+ */
+template<bool Condition, typename T> struct enable_if;
+
+template<typename T> struct enable_if<true,T>
+{ typedef T type; };
+
+#if defined(__CUDA_ARCH__) && !defined(__GCUDACC__)
+
+namespace device {
+
+template<typename T> struct numeric_limits
+{
+ EIGEN_DEVICE_FUNC
+ static T epsilon() { return 0; }
+ static T max() { assert(false && "Max not suppoted for this type"); }
+ static T lowest() { assert(false && "Lowest not suppoted for this type"); }
+};
+template<> struct numeric_limits<float>
+{
+ EIGEN_DEVICE_FUNC
+ static float epsilon() { return __FLT_EPSILON__; }
+ EIGEN_DEVICE_FUNC
+ static float max() { return CUDART_MAX_NORMAL_F; }
+ EIGEN_DEVICE_FUNC
+ static float lowest() { return -CUDART_MAX_NORMAL_F; }
+};
+template<> struct numeric_limits<double>
+{
+ EIGEN_DEVICE_FUNC
+ static double epsilon() { return __DBL_EPSILON__; }
+ EIGEN_DEVICE_FUNC
+ static double max() { return CUDART_INF; }
+ EIGEN_DEVICE_FUNC
+ static double lowest() { return -CUDART_INF; }
+};
+template<> struct numeric_limits<int>
+{
+ EIGEN_DEVICE_FUNC
+ static int epsilon() { return 0; }
+ EIGEN_DEVICE_FUNC
+ static int max() { return INT_MAX; }
+ EIGEN_DEVICE_FUNC
+ static int lowest() { return INT_MIN; }
+};
+template<> struct numeric_limits<long>
+{
+ EIGEN_DEVICE_FUNC
+ static long epsilon() { return 0; }
+ EIGEN_DEVICE_FUNC
+ static long max() { return LONG_MAX; }
+ EIGEN_DEVICE_FUNC
+ static long lowest() { return LONG_MIN; }
+};
+template<> struct numeric_limits<long long>
+{
+ EIGEN_DEVICE_FUNC
+ static long long epsilon() { return 0; }
+ EIGEN_DEVICE_FUNC
+ static long long max() { return LLONG_MAX; }
+ EIGEN_DEVICE_FUNC
+ static long long lowest() { return LLONG_MIN; }
+};
+
+}
+
+#endif
+
+/** \internal
+ * A base class do disable default copy ctor and copy assignement operator.
+ */
+class noncopyable
+{
+ noncopyable(const noncopyable&);
+ const noncopyable& operator=(const noncopyable&);
+protected:
+ noncopyable() {}
+ ~noncopyable() {}
+};
+
+
+/** \internal
+ * Convenient struct to get the result type of a unary or binary functor.
+ *
+ * It supports both the current STL mechanism (using the result_type member) as well as
+ * upcoming next STL generation (using a templated result member).
+ * If none of these members is provided, then the type of the first argument is returned. FIXME, that behavior is a pretty bad hack.
+ */
+template<typename T> struct result_of {};
+
+struct has_none {int a[1];};
+struct has_std_result_type {int a[2];};
+struct has_tr1_result {int a[3];};
+
+template<typename Func, typename ArgType, int SizeOf=sizeof(has_none)>
+struct unary_result_of_select {typedef ArgType type;};
+
+template<typename Func, typename ArgType>
+struct unary_result_of_select<Func, ArgType, sizeof(has_std_result_type)> {typedef typename Func::result_type type;};
+
+template<typename Func, typename ArgType>
+struct unary_result_of_select<Func, ArgType, sizeof(has_tr1_result)> {typedef typename Func::template result<Func(ArgType)>::type type;};
+
+template<typename Func, typename ArgType>
+struct result_of<Func(ArgType)> {
+ template<typename T>
+ static has_std_result_type testFunctor(T const *, typename T::result_type const * = 0);
+ template<typename T>
+ static has_tr1_result testFunctor(T const *, typename T::template result<T(ArgType)>::type const * = 0);
+ static has_none testFunctor(...);
+
+ // note that the following indirection is needed for gcc-3.3
+ enum {FunctorType = sizeof(testFunctor(static_cast<Func*>(0)))};
+ typedef typename unary_result_of_select<Func, ArgType, FunctorType>::type type;
+};
+
+template<typename Func, typename ArgType0, typename ArgType1, int SizeOf=sizeof(has_none)>
+struct binary_result_of_select {typedef ArgType0 type;};
+
+template<typename Func, typename ArgType0, typename ArgType1>
+struct binary_result_of_select<Func, ArgType0, ArgType1, sizeof(has_std_result_type)>
+{typedef typename Func::result_type type;};
+
+template<typename Func, typename ArgType0, typename ArgType1>
+struct binary_result_of_select<Func, ArgType0, ArgType1, sizeof(has_tr1_result)>
+{typedef typename Func::template result<Func(ArgType0,ArgType1)>::type type;};
+
+template<typename Func, typename ArgType0, typename ArgType1>
+struct result_of<Func(ArgType0,ArgType1)> {
+ template<typename T>
+ static has_std_result_type testFunctor(T const *, typename T::result_type const * = 0);
+ template<typename T>
+ static has_tr1_result testFunctor(T const *, typename T::template result<T(ArgType0,ArgType1)>::type const * = 0);
+ static has_none testFunctor(...);
+
+ // note that the following indirection is needed for gcc-3.3
+ enum {FunctorType = sizeof(testFunctor(static_cast<Func*>(0)))};
+ typedef typename binary_result_of_select<Func, ArgType0, ArgType1, FunctorType>::type type;
+};
+
+/** \internal In short, it computes int(sqrt(\a Y)) with \a Y an integer.
+ * Usage example: \code meta_sqrt<1023>::ret \endcode
+ */
+template<int Y,
+ int InfX = 0,
+ int SupX = ((Y==1) ? 1 : Y/2),
+ bool Done = ((SupX-InfX)<=1 ? true : ((SupX*SupX <= Y) && ((SupX+1)*(SupX+1) > Y))) >
+ // use ?: instead of || just to shut up a stupid gcc 4.3 warning
+class meta_sqrt
+{
+ enum {
+ MidX = (InfX+SupX)/2,
+ TakeInf = MidX*MidX > Y ? 1 : 0,
+ NewInf = int(TakeInf) ? InfX : int(MidX),
+ NewSup = int(TakeInf) ? int(MidX) : SupX
+ };
+ public:
+ enum { ret = meta_sqrt<Y,NewInf,NewSup>::ret };
+};
+
+template<int Y, int InfX, int SupX>
+class meta_sqrt<Y, InfX, SupX, true> { public: enum { ret = (SupX*SupX <= Y) ? SupX : InfX }; };
+
+/** \internal determines whether the product of two numeric types is allowed and what the return type is */
+template<typename T, typename U> struct scalar_product_traits
+{
+ enum { Defined = 0 };
+};
+
+template<typename T> struct scalar_product_traits<T,T>
+{
+ enum {
+ // Cost = NumTraits<T>::MulCost,
+ Defined = 1
+ };
+ typedef T ReturnType;
+};
+
+template<typename T> struct scalar_product_traits<T, const T>
+{
+ enum {
+ // Cost = NumTraits<T>::MulCost,
+ Defined = 1
+ };
+ typedef T ReturnType;
+};
+
+template<typename T> struct scalar_product_traits<const T, T>
+{
+ enum {
+ // Cost = NumTraits<T>::MulCost,
+ Defined = 1
+ };
+ typedef T ReturnType;
+};
+
+template<typename T> struct scalar_product_traits<T,std::complex<T> >
+{
+ enum {
+ // Cost = 2*NumTraits<T>::MulCost,
+ Defined = 1
+ };
+ typedef std::complex<T> ReturnType;
+};
+
+template<typename T> struct scalar_product_traits<std::complex<T>, T>
+{
+ enum {
+ // Cost = 2*NumTraits<T>::MulCost,
+ Defined = 1
+ };
+ typedef std::complex<T> ReturnType;
+};
+
+// FIXME quick workaround around current limitation of result_of
+// template<typename Scalar, typename ArgType0, typename ArgType1>
+// struct result_of<scalar_product_op<Scalar>(ArgType0,ArgType1)> {
+// typedef typename scalar_product_traits<typename remove_all<ArgType0>::type, typename remove_all<ArgType1>::type>::ReturnType type;
+// };
+
+template<typename T> struct is_diagonal
+{ enum { ret = false }; };
+
+template<typename T> struct is_diagonal<DiagonalBase<T> >
+{ enum { ret = true }; };
+
+template<typename T> struct is_diagonal<DiagonalWrapper<T> >
+{ enum { ret = true }; };
+
+template<typename T, int S> struct is_diagonal<DiagonalMatrix<T,S> >
+{ enum { ret = true }; };
+
+} // end namespace internal
+
+namespace numext {
+
+#if defined(__CUDA_ARCH__)
+template<typename T> EIGEN_DEVICE_FUNC void swap(T &a, T &b) { T tmp = b; b = a; a = tmp; }
+#else
+template<typename T> EIGEN_STRONG_INLINE void swap(T &a, T &b) { std::swap(a,b); }
+#endif
+
+} // end namespace numext
+
+} // end namespace Eigen
+
+#endif // EIGEN_META_H