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+/* reducer_opadd.h -*- C++ -*-
+ *
+ * @copyright
+ * Copyright (C) 2009-2013, Intel Corporation
+ * All rights reserved.
+ *
+ * @copyright
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ * * Neither the name of Intel Corporation nor the names of its
+ * contributors may be used to endorse or promote products derived
+ * from this software without specific prior written permission.
+ *
+ * @copyright
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
+ * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
+ * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY
+ * WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/** @file reducer_opadd.h
+ *
+ * @brief Defines classes for doing parallel addition reductions.
+ *
+ * @ingroup ReducersAdd
+ *
+ * @see ReducersAdd
+ */
+
+#ifndef REDUCER_OPADD_H_INCLUDED
+#define REDUCER_OPADD_H_INCLUDED
+
+#include <cilk/reducer.h>
+
+/** @defgroup ReducersAdd Addition Reducers
+ *
+ * Addition reducers allow the computation of the sum of a set of values in
+ * parallel.
+ *
+ * @ingroup Reducers
+ *
+ * You should be familiar with @ref pagereducers "Cilk reducers", described in
+ * file `reducers.md`, and particularly with @ref reducers_using, before trying
+ * to use the information in this file.
+ *
+ * @section redopadd_usage Usage Example
+ *
+ * cilk::reducer< cilk::op_add<int> > r;
+ * cilk_for (int i = 0; i != N; ++i) {
+ * *r += a[i];
+ * }
+ * return r.get_value();
+ *
+ * @section redopadd_monoid The Monoid
+ *
+ * @subsection redopadd_monoid_values Value Set
+ *
+ * The value set of an addition reducer is the set of values of `Type`, which
+ * is expected to be a builtin numeric type (or something like it, such as
+ * `std::complex`).
+ *
+ * @subsection redopadd_monoid_operator Operator
+ *
+ * The operator of an addition reducer is the addition operator, defined by
+ * the “`+`” binary operator on `Type`.
+ *
+ * @subsection redopadd_monoid_identity Identity
+ *
+ * The identity value of the reducer is the numeric value “`0`”. This is
+ * expected to be the value of the default constructor `Type()`.
+ *
+ * @section redopadd_operations Operations
+ *
+ * @subsection redopadd_constructors Constructors
+ *
+ * reducer() // identity
+ * reducer(const Type& value)
+ * reducer(move_in(Type& variable))
+ *
+ * @subsection redopadd_get_set Set and Get
+ *
+ * r.set_value(const Type& value)
+ * const Type& = r.get_value() const
+ * r.move_in(Type& variable)
+ * r.move_out(Type& variable)
+ *
+ * @subsection redopadd_initial Initial Values
+ *
+ * If an addition reducer is constructed without an explicit initial value,
+ * then its initial value will be its identity value, as long as `Type`
+ * satisfies the requirements of @ref redopadd_types.
+ *
+ * @subsection redopadd_view_ops View Operations
+ *
+ * *r += a
+ * *r -= a
+ * ++*r
+ * --*r
+ * (*r)++
+ * (*r)--
+ * *r = *r + a
+ * *r = *r - a
+ * *r = *r ± a1 ± a2 … ± an
+ *
+ * The post-increment and post-decrement operations do not return a value. (If
+ * they did, they would expose the value contained in the view, which is
+ * non-deterministic in the middle of a reduction.)
+ *
+ * Note that subtraction operations are allowed on an addition reducer because
+ * subtraction is equivalent to addition with a negated operand. It is true
+ * that `(x - y) - z` is not equivalent to `x - (y - z)`, but
+ * `(x + (-y)) + (-z)` _is_ equivalent to `x + ((-y) + (-z))`.
+ *
+ * @section redopadd_floating_point Issues with Floating-Point Types
+ *
+ * Because of precision and round-off issues, floating-point addition is not
+ * really associative. For example, `(1e30 + -1e30) + 1 == 1`, but
+ * `1e30 + (-1e30 + 1) == 0`.
+ *
+ * In many cases, this won’t matter, but computations which have been
+ * carefully ordered to control round-off errors may not deal well with
+ * being reassociated. In general, you should be sure to understand the
+ * floating-point behavior of your program before doing any transformation
+ * that will reassociate its computations.
+ *
+ * @section redopadd_types Type and Operator Requirements
+ *
+ * `Type` must be `Copy Constructible`, `Default Constructible`, and
+ * `Assignable`.
+ *
+ * The operator “`+=`” must be defined on `Type`, with `x += a` having the
+ * same meaning as `x = x + a`. In addition, if the code uses the “`-=`”,
+ * pre-increment, post-increment, pre-decrement, or post-decrement operators,
+ * then the corresponding operators must be defined on `Type`.
+ *
+ * The expression `Type()` must be a valid expression which yields the
+ * identity value (the value of `Type` whose numeric value is zero).
+ *
+ * @section redopadd_in_c Addition Reducers in C
+ *
+ * The @ref CILK_C_REDUCER_OPADD and @ref CILK_C_REDUCER_OPADD_TYPE macros can
+ * be used to do addition reductions in C. For example:
+ *
+ * CILK_C_REDUCER_OPADD(r, double, 0);
+ * CILK_C_REGISTER_REDUCER(r);
+ * cilk_for(int i = 0; i != n; ++i) {
+ * REDUCER_VIEW(r) += a[i];
+ * }
+ * CILK_C_UNREGISTER_REDUCER(r);
+ * printf("The sum of the elements of a is %f\n", REDUCER_VIEW(r));
+ *
+ * See @ref reducers_c_predefined.
+ */
+
+#ifdef __cplusplus
+
+namespace cilk {
+
+/** The addition reducer view class.
+ *
+ * This is the view class for reducers created with
+ * `cilk::reducer< cilk::op_add<Type> >`. It holds the accumulator variable
+ * for the reduction, and allows only addition and subtraction operations to
+ * be performed on it.
+ *
+ * @note The reducer “dereference” operation (`reducer::operator *()`)
+ * yields a reference to the view. Thus, for example, the view class’s
+ * `+=` operation would be used in an expression like `*r += a`, where
+ * `r` is an op_add reducer variable.
+ *
+ * @tparam Type The type of the contained accumulator variable. This will
+ * be the value type of a monoid_with_view that is
+ * instantiated with this view.
+ *
+ * @see ReducersAdd
+ * @see op_add
+ *
+ * @ingroup ReducersAdd
+ */
+template <typename Type>
+class op_add_view : public scalar_view<Type>
+{
+ typedef scalar_view<Type> base;
+
+public:
+ /** Class to represent the right-hand side of
+ * `*reducer = *reducer ± value`.
+ *
+ * The only assignment operator for the op_add_view class takes an
+ * rhs_proxy as its operand. This results in the syntactic restriction
+ * that the only expressions that can be assigned to an op_add_view are
+ * ones which generate an rhs_proxy — that is, expressions of the form
+ * `op_add_view ± value ... ± value`.
+ *
+ * @warning
+ * The lhs and rhs views in such an assignment must be the same;
+ * otherwise, the behavior will be undefined. (I.e., `v1 = v1 + x` is
+ * legal; `v1 = v2 + x` is illegal.) This condition will be checked with a
+ * runtime assertion when compiled in debug mode.
+ *
+ * @see op_add_view
+ */
+ class rhs_proxy {
+ friend class op_add_view;
+
+ const op_add_view* m_view;
+ Type m_value;
+
+ // Constructor is invoked only from op_add_view::operator+() and
+ // op_add_view::operator-().
+ //
+ rhs_proxy(const op_add_view* view, const Type& value) :
+ m_view(view), m_value(value) {}
+
+ rhs_proxy& operator=(const rhs_proxy&); // Disable assignment operator
+ rhs_proxy(); // Disable default constructor
+
+ public:
+ //@{
+ /** Add or subtract an additional rhs value. If `v` is an op_add_view
+ * and `a1` is a value, then the expression `v + a1` invokes the view’s
+ * `operator+()` to create an rhs_proxy for `(v, a1)`; then
+ * `v + a1 + a2` invokes the rhs_proxy’s `operator+()` to create a new
+ * rhs_proxy for `(v, a1+a2)`. This allows the right-hand side of an
+ * assignment to be not just `view ± value`, but
+ * `view ± value ± value ... ± value`. The effect is that
+ *
+ * v = v ± a1 ± a2 ... ± an;
+ *
+ * is evaluated as
+ *
+ * v = v ± (±a1 ± a2 ... ± an);
+ */
+ rhs_proxy& operator+(const Type& x) { m_value += x; return *this; }
+ rhs_proxy& operator-(const Type& x) { m_value -= x; return *this; }
+ //@}
+ };
+
+
+ /** Default/identity constructor. This constructor initializes the
+ * contained value to `Type()`, which is expected to be the identity value
+ * for addition on `Type`.
+ */
+ op_add_view() : base() {}
+
+ /** Construct with a specified initial value.
+ */
+ explicit op_add_view(const Type& v) : base(v) {}
+
+ /** Reduction operation.
+ *
+ * This function is invoked by the @ref op_add monoid to combine the views
+ * of two strands when the right strand merges with the left one. It adds
+ * the value contained in the right-strand view to the value contained in
+ * the left-strand view, and leaves the value in the right-strand view
+ * undefined.
+ *
+ * @param right A pointer to the right-strand view. (`this` points to
+ * the left-strand view.)
+ *
+ * @note Used only by the @ref op_add monoid to implement the monoid
+ * reduce operation.
+ */
+ void reduce(op_add_view* right) { this->m_value += right->m_value; }
+
+ /** @name Accumulator variable updates.
+ *
+ * These functions support the various syntaxes for incrementing or
+ * decrementing the accumulator variable contained in the view.
+ */
+ //@{
+
+ /** Increment the accumulator variable by @a x.
+ */
+ op_add_view& operator+=(const Type& x) { this->m_value += x; return *this; }
+
+ /** Decrement the accumulator variable by @a x.
+ */
+ op_add_view& operator-=(const Type& x) { this->m_value -= x; return *this; }
+
+ /** Pre-increment.
+ */
+ op_add_view& operator++() { ++this->m_value; return *this; }
+
+ /** Post-increment.
+ *
+ * @note Conventionally, post-increment operators return the old value
+ * of the incremented variable. However, reducer views do not
+ * expose their contained values, so `view++` does not have a
+ * return value.
+ */
+ void operator++(int) { this->m_value++; }
+
+ /** Pre-decrement.
+ */
+ op_add_view& operator--() { --this->m_value; return *this; }
+
+ /** Post-decrement.
+ *
+ * @note Conventionally, post-decrement operators return the old value
+ * of the decremented variable. However, reducer views do not
+ * expose their contained values, so `view--` does not have a
+ * return value.
+ */
+ void operator--(int) { this->m_value--; }
+
+ /** Create an object representing `*this + x`.
+ *
+ * @see rhs_proxy
+ */
+ rhs_proxy operator+(const Type& x) const { return rhs_proxy(this, x); }
+
+ /** Create an object representing `*this - x`.
+ *
+ * @see rhs_proxy
+ */
+ rhs_proxy operator-(const Type& x) const { return rhs_proxy(this, -x); }
+
+ /** Assign the result of a `view ± value` expression to the view. Note that
+ * this is the only assignment operator for this class.
+ *
+ * @see rhs_proxy
+ */
+ op_add_view& operator=(const rhs_proxy& rhs) {
+ __CILKRTS_ASSERT(this == rhs.m_view);
+ this->m_value += rhs.m_value;
+ return *this;
+ }
+
+ //@}
+};
+
+
+/** Monoid class for addition reductions. Instantiate the cilk::reducer
+ * template class with an op_add monoid to create an addition reducer class.
+ * For example, to compute
+ * the sum of a set of `int` values:
+ *
+ * cilk::reducer< cilk::op_add<int> > r;
+ *
+ * @tparam Type The reducer value type.
+ * @tparam Align If `false` (the default), reducers instantiated on this
+ * monoid will be naturally aligned (the Cilk library 1.0
+ * behavior). If `true`, reducers instantiated on this monoid
+ * will be cache-aligned for binary compatibility with
+ * reducers in Cilk library version 0.9.
+ *
+ * @see ReducersAdd
+ * @see op_add_view
+ *
+ * @ingroup ReducersAdd
+ */
+template <typename Type, bool Align = false>
+struct op_add : public monoid_with_view<op_add_view<Type>, Align> {};
+
+/** **Deprecated** addition reducer wrapper class.
+ *
+ * reducer_opadd is the same as @ref reducer<@ref op_add>, except that
+ * reducer_opadd is a proxy for the contained view, so that accumulator
+ * variable update operations can be applied directly to the reducer. For
+ * example, a value is added to a `reducer<%op_add>` with `*r += a`, but a
+ * value can be added to a `%reducer_opadd` with `r += a`.
+ *
+ * @deprecated Users are strongly encouraged to use `reducer<monoid>`
+ * reducers rather than the old wrappers like reducer_opadd.
+ * The `reducer<monoid>` reducers show the reducer/monoid/view
+ * architecture more clearly, are more consistent in their
+ * implementation, and present a simpler model for new
+ * user-implemented reducers.
+ *
+ * @note Implicit conversions are provided between `%reducer_opadd`
+ * and `reducer<%op_add>`. This allows incremental code
+ * conversion: old code that used `%reducer_opadd` can pass a
+ * `%reducer_opadd` to a converted function that now expects a
+ * pointer or reference to a `reducer<%op_add>`, and vice
+ * versa.
+ *
+ * @tparam Type The value type of the reducer.
+ *
+ * @see op_add
+ * @see reducer
+ * @see ReducersAdd
+ *
+ * @ingroup ReducersAdd
+ */
+template <typename Type>
+class reducer_opadd : public reducer< op_add<Type, true> >
+{
+ typedef reducer< op_add<Type, true> > base;
+ using base::view;
+
+ public:
+ /// The view type for the reducer.
+ typedef typename base::view_type view_type;
+
+ /// The view’s rhs proxy type.
+ typedef typename view_type::rhs_proxy rhs_proxy;
+
+ /// The view type for the reducer.
+ typedef view_type View;
+
+ /// The monoid type for the reducer.
+ typedef typename base::monoid_type Monoid;
+
+ /** @name Constructors
+ */
+ //@{
+
+ /** Default (identity) constructor.
+ *
+ * Constructs the wrapper with the default initial value of `Type()`.
+ */
+ reducer_opadd() {}
+
+ /** Value constructor.
+ *
+ * Constructs the wrapper with a specified initial value.
+ */
+ explicit reducer_opadd(const Type& initial_value) : base(initial_value) {}
+
+ //@}
+
+ /** @name Forwarded functions
+ * @details Functions that update the contained accumulator variable are
+ * simply forwarded to the contained @ref op_add_view. */
+ //@{
+
+ /// @copydoc op_add_view::operator+=(const Type&)
+ reducer_opadd& operator+=(const Type& x) { view() += x; return *this; }
+
+ /// @copydoc op_add_view::operator-=(const Type&)
+ reducer_opadd& operator-=(const Type& x) { view() -= x; return *this; }
+
+ /// @copydoc op_add_view::operator++()
+ reducer_opadd& operator++() { ++view(); return *this; }
+
+ /// @copydoc op_add_view::operator++(int)
+ void operator++(int) { view()++; }
+
+ /// @copydoc op_add_view::operator-\-()
+ reducer_opadd& operator--() { --view(); return *this; }
+
+ /// @copydoc op_add_view::operator-\-(int)
+ void operator--(int) { view()--; }
+
+ // The legacy definitions of reducer_opadd::operator+() and
+ // reducer_opadd::operator-() have different behavior and a different
+ // return type than this definition. The legacy version is defined as a
+ // member function, so this new version is defined as a free function to
+ // give it a different signature, so that they won’t end up sharing a
+ // single object file entry.
+
+ /// @copydoc op_add_view::operator+(const Type&) const
+ friend rhs_proxy operator+(const reducer_opadd& r, const Type& x)
+ {
+ return r.view() + x;
+ }
+ /// @copydoc op_add_view::operator-(const Type&) const
+ friend rhs_proxy operator-(const reducer_opadd& r, const Type& x)
+ {
+ return r.view() - x;
+ }
+ /// @copydoc op_add_view::operator=(const rhs_proxy&)
+ reducer_opadd& operator=(const rhs_proxy& temp)
+ {
+ view() = temp;
+ return *this;
+ }
+ //@}
+
+ /** @name Dereference
+ * @details Dereferencing a wrapper is a no-op. It simply returns the
+ * wrapper. Combined with the rule that the wrapper forwards view
+ * operations to its contained view, this means that view operations can
+ * be written the same way on reducers and wrappers, which is convenient
+ * for incrementally converting old code using wrappers to use reducers
+ * instead. That is:
+ *
+ * reducer< op_add<int> > r;
+ * *r += a; // *r returns the view
+ * // operator += is a view member function
+ *
+ * reducer_opadd<int> w;
+ * *w += a; // *w returns the wrapper
+ * // operator += is a wrapper member function that
+ * // calls the corresponding view function
+ */
+ //@{
+ reducer_opadd& operator*() { return *this; }
+ reducer_opadd const& operator*() const { return *this; }
+
+ reducer_opadd* operator->() { return this; }
+ reducer_opadd const* operator->() const { return this; }
+ //@}
+
+ /** @name Upcast
+ * @details In Cilk library 0.9, reducers were always cache-aligned. In
+ * library 1.0, reducer cache alignment is optional. By default, reducers
+ * are unaligned (i.e., just naturally aligned), but legacy wrappers
+ * inherit from cache-aligned reducers for binary compatibility.
+ *
+ * This means that a wrapper will automatically be upcast to its aligned
+ * reducer base class. The following conversion operators provide
+ * pseudo-upcasts to the corresponding unaligned reducer class.
+ */
+ //@{
+ operator reducer< op_add<Type, false> >& ()
+ {
+ return *reinterpret_cast< reducer< op_add<Type, false> >* >(this);
+ }
+ operator const reducer< op_add<Type, false> >& () const
+ {
+ return *reinterpret_cast< const reducer< op_add<Type, false> >* >(this);
+ }
+ //@}
+};
+
+/// @cond internal
+/** Metafunction specialization for reducer conversion.
+ *
+ * This specialization of the @ref legacy_reducer_downcast template class
+ * defined in reducer.h causes the `reducer< op_add<Type> >` class to have an
+ * `operator reducer_opadd<Type>& ()` conversion operator that statically
+ * downcasts the `reducer<op_add>` to the corresponding `reducer_opadd` type.
+ * (The reverse conversion, from `reducer_opadd` to `reducer<op_add>`, is just
+ * an upcast, which is provided for free by the language.)
+ *
+ * @ingroup ReducersAdd
+ */
+template <typename Type, bool Align>
+struct legacy_reducer_downcast<reducer<op_add<Type, Align> > >
+{
+ typedef reducer_opadd<Type> type;
+};
+/// @endcond
+
+} // namespace cilk
+
+#endif // __cplusplus
+
+
+/** @ingroup ReducersAdd
+ */
+//@{
+
+/** @name C Language Reducer Macros
+ *
+ * These macros are used to declare and work with numeric op_add reducers in
+ * C code.
+ *
+ * @see @ref page_reducers_in_c
+ */
+ //@{
+
+__CILKRTS_BEGIN_EXTERN_C
+
+/** Opadd reducer type name.
+ *
+ * This macro expands into the identifier which is the name of the op_add
+ * reducer type for a specified numeric type.
+ *
+ * @param tn The @ref reducers_c_type_names "numeric type name" specifying
+ * the type of the reducer.
+ *
+ * @see @ref reducers_c_predefined
+ * @see ReducersAdd
+ */
+#define CILK_C_REDUCER_OPADD_TYPE(tn) \
+ __CILKRTS_MKIDENT(cilk_c_reducer_opadd_,tn)
+
+/** Declare an op_add reducer object.
+ *
+ * This macro expands into a declaration of an op_add reducer object for a
+ * specified numeric type. For example:
+ *
+ * CILK_C_REDUCER_OPADD(my_reducer, double, 0.0);
+ *
+ * @param obj The variable name to be used for the declared reducer object.
+ * @param tn The @ref reducers_c_type_names "numeric type name" specifying
+ * the type of the reducer.
+ * @param v The initial value for the reducer. (A value which can be
+ * assigned to the numeric type represented by @a tn.)
+ *
+ * @see @ref reducers_c_predefined
+ * @see ReducersAdd
+ */
+#define CILK_C_REDUCER_OPADD(obj,tn,v) \
+ CILK_C_REDUCER_OPADD_TYPE(tn) obj = \
+ CILK_C_INIT_REDUCER(_Typeof(obj.value), \
+ __CILKRTS_MKIDENT(cilk_c_reducer_opadd_reduce_,tn), \
+ __CILKRTS_MKIDENT(cilk_c_reducer_opadd_identity_,tn), \
+ __cilkrts_hyperobject_noop_destroy, v)
+
+/// @cond internal
+
+/** Declare the op_add reducer functions for a numeric type.
+ *
+ * This macro expands into external function declarations for functions which
+ * implement the reducer functionality for the op_add reducer type for a
+ * specified numeric type.
+ *
+ * @param t The value type of the reducer.
+ * @param tn The value “type name” identifier, used to construct the reducer
+ * type name, function names, etc.
+ */
+#define CILK_C_REDUCER_OPADD_DECLARATION(t,tn) \
+ typedef CILK_C_DECLARE_REDUCER(t) CILK_C_REDUCER_OPADD_TYPE(tn); \
+ __CILKRTS_DECLARE_REDUCER_REDUCE(cilk_c_reducer_opadd,tn,l,r); \
+ __CILKRTS_DECLARE_REDUCER_IDENTITY(cilk_c_reducer_opadd,tn);
+
+/** Define the op_add reducer functions for a numeric type.
+ *
+ * This macro expands into function definitions for functions which implement
+ * the reducer functionality for the op_add reducer type for a specified
+ * numeric type.
+ *
+ * @param t The value type of the reducer.
+ * @param tn The value “type name” identifier, used to construct the reducer
+ * type name, function names, etc.
+ */
+#define CILK_C_REDUCER_OPADD_DEFINITION(t,tn) \
+ typedef CILK_C_DECLARE_REDUCER(t) CILK_C_REDUCER_OPADD_TYPE(tn); \
+ __CILKRTS_DECLARE_REDUCER_REDUCE(cilk_c_reducer_opadd,tn,l,r) \
+ { *(t*)l += *(t*)r; } \
+ __CILKRTS_DECLARE_REDUCER_IDENTITY(cilk_c_reducer_opadd,tn) \
+ { *(t*)v = 0; }
+
+//@{
+/** @def CILK_C_REDUCER_OPADD_INSTANCE
+ * @brief Declare or define implementation functions for a reducer type.
+ *
+ * In the runtime source file c_reducers.c, the macro `CILK_C_DEFINE_REDUCERS`
+ * will be defined, and this macro will generate reducer implementation
+ * functions. Everywhere else, `CILK_C_DEFINE_REDUCERS` will be undefined,
+ * and this macro will expand into external declarations for the functions.
+ */
+#ifdef CILK_C_DEFINE_REDUCERS
+# define CILK_C_REDUCER_OPADD_INSTANCE(t,tn) \
+ CILK_C_REDUCER_OPADD_DEFINITION(t,tn)
+#else
+# define CILK_C_REDUCER_OPADD_INSTANCE(t,tn) \
+ CILK_C_REDUCER_OPADD_DECLARATION(t,tn)
+#endif
+//@}
+
+/* Declare or define an instance of the reducer type and its functions for each
+ * numeric type.
+ */
+CILK_C_REDUCER_OPADD_INSTANCE(char, char)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned char, uchar)
+CILK_C_REDUCER_OPADD_INSTANCE(signed char, schar)
+CILK_C_REDUCER_OPADD_INSTANCE(wchar_t, wchar_t)
+CILK_C_REDUCER_OPADD_INSTANCE(short, short)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned short, ushort)
+CILK_C_REDUCER_OPADD_INSTANCE(int, int)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned int, uint)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned int, unsigned) /* alternate name */
+CILK_C_REDUCER_OPADD_INSTANCE(long, long)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned long, ulong)
+CILK_C_REDUCER_OPADD_INSTANCE(long long, longlong)
+CILK_C_REDUCER_OPADD_INSTANCE(unsigned long long, ulonglong)
+CILK_C_REDUCER_OPADD_INSTANCE(float, float)
+CILK_C_REDUCER_OPADD_INSTANCE(double, double)
+CILK_C_REDUCER_OPADD_INSTANCE(long double, longdouble)
+
+//@endcond
+
+__CILKRTS_END_EXTERN_C
+
+//@}
+
+//@}
+
+#endif /* REDUCER_OPADD_H_INCLUDED */