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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2010-2012 Gael Guennebaud <gael.guennebaud@inria.fr>
5 // Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
6 //
7 // This Source Code Form is subject to the terms of the Mozilla
8 // Public License v. 2.0. If a copy of the MPL was not distributed
9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10 
11 #ifndef EIGEN_GLOBAL_FUNCTIONS_H
12 #define EIGEN_GLOBAL_FUNCTIONS_H
13 
14 #define EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(NAME,FUNCTOR) \
15   template<typename Derived> \
16   inline const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> \
17   NAME(const Eigen::ArrayBase<Derived>& x) { \
18     return x.derived(); \
19   }
20 
21 #define EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(NAME,FUNCTOR) \
22   \
23   template<typename Derived> \
24   struct NAME##_retval<ArrayBase<Derived> > \
25   { \
26     typedef const Eigen::CwiseUnaryOp<Eigen::internal::FUNCTOR<typename Derived::Scalar>, const Derived> type; \
27   }; \
28   template<typename Derived> \
29   struct NAME##_impl<ArrayBase<Derived> > \
30   { \
31     static inline typename NAME##_retval<ArrayBase<Derived> >::type run(const Eigen::ArrayBase<Derived>& x) \
32     { \
33       return x.derived(); \
34     } \
35   };
36 
37 
38 namespace Eigen
39 {
EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(real,scalar_real_op)40   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(real,scalar_real_op)
41   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(imag,scalar_imag_op)
42   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(conj,scalar_conjugate_op)
43   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sin,scalar_sin_op)
44   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(cos,scalar_cos_op)
45   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(asin,scalar_asin_op)
46   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(acos,scalar_acos_op)
47   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(tan,scalar_tan_op)
48   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(exp,scalar_exp_op)
49   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(log,scalar_log_op)
50   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(abs,scalar_abs_op)
51   EIGEN_ARRAY_DECLARE_GLOBAL_UNARY(sqrt,scalar_sqrt_op)
52 
53   template<typename Derived>
54   inline const Eigen::CwiseUnaryOp<Eigen::internal::scalar_pow_op<typename Derived::Scalar>, const Derived>
55   pow(const Eigen::ArrayBase<Derived>& x, const typename Derived::Scalar& exponent) {
56     return x.derived().pow(exponent);
57   }
58 
59   template<typename Derived>
60   inline const Eigen::CwiseBinaryOp<Eigen::internal::scalar_binary_pow_op<typename Derived::Scalar, typename Derived::Scalar>, const Derived, const Derived>
pow(const Eigen::ArrayBase<Derived> & x,const Eigen::ArrayBase<Derived> & exponents)61   pow(const Eigen::ArrayBase<Derived>& x, const Eigen::ArrayBase<Derived>& exponents)
62   {
63     return Eigen::CwiseBinaryOp<Eigen::internal::scalar_binary_pow_op<typename Derived::Scalar, typename Derived::Scalar>, const Derived, const Derived>(
64       x.derived(),
65       exponents.derived()
66     );
67   }
68 
69   /**
70   * \brief Component-wise division of a scalar by array elements.
71   **/
72   template <typename Derived>
73   inline const Eigen::CwiseUnaryOp<Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>, const Derived>
74     operator/(const typename Derived::Scalar& s, const Eigen::ArrayBase<Derived>& a)
75   {
76     return Eigen::CwiseUnaryOp<Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>, const Derived>(
77       a.derived(),
78       Eigen::internal::scalar_inverse_mult_op<typename Derived::Scalar>(s)
79     );
80   }
81 
82   namespace internal
83   {
84     EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(real,scalar_real_op)
85     EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(imag,scalar_imag_op)
86     EIGEN_ARRAY_DECLARE_GLOBAL_EIGEN_UNARY(abs2,scalar_abs2_op)
87   }
88 }
89 
90 // TODO: cleanly disable those functions that are not supported on Array (numext::real_ref, internal::random, internal::isApprox...)
91 
92 #endif // EIGEN_GLOBAL_FUNCTIONS_H
93