/* reducer_opmul.h -*- C++ -*- * * @copyright * Copyright (C) 2012-2013, 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_opmul.h * * @brief Defines classes for doing parallel multiplication reductions. * * @ingroup ReducersMul * * @see ReducersMul */ #ifndef REDUCER_OPMUL_H_INCLUDED #define REDUCER_OPMUL_H_INCLUDED #include /** @defgroup ReducersMul Multiplication Reducers * * Multiplication reducers allow the computation of the product 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 redopmul_usage Usage Example * * cilk::reducer< cilk::op_mul > r; * cilk_for (int i = 0; i != N; ++i) { * *r *= a[i]; * } * double product; * r.move_out(product); * * @section redopmul_monoid The Monoid * * @subsection redopmul_monoid_values Value Set * * The value set of a multiplication 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 redopmul_monoid_operator Operator * * The operator of a multiplication reducer is the multiplication operation, * defined by the “`*`” binary operator on `Type`. * * @subsection redopmul_monoid_identity Identity * * The identity value of the reducer is the numeric value “`1`”. This is * expected to be the value of the expression `Type(1)`. * * @section redopmul_operations Operations * * @subsection redopmul_constructors Constructors * * reducer() // identity * reducer(const Type& value) * reducer(move_in(Type& variable)) * * @subsection redopmul_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 redopmul_initial Initial Values * * If a multiplication 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 redopmul_types. * * @subsection redopmul_view_ops View Operations * * *r *= a * *r = *r * a * *r = *r * a1 * a2 … * an * * @section redopmul_floating_point Issues with Floating-Point Types * * Because of overflow and underflow issues, floating-point multiplication is * not really associative. For example, `(1e200 * 1e-200) * 1e-200 == 1e-200`, * but `1e200 * (1e-200 * 1e-200 == 0. * * In many cases, this won’t matter, but computations which have been * carefully ordered to control overflow and underflow 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 redopmul_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`. * * The expression `Type(1)` must be a valid expression which yields the * identity value (the value of `Type` whose numeric value is `1`). * * @section redopmul_in_c Multiplication Reducers in C * * The @ref CILK_C_REDUCER_OPMUL and @ref CILK_C_REDUCER_OPMUL_TYPE macros can * be used to do multiplication reductions in C. For example: * * CILK_C_REDUCER_OPMUL(r, double, 1); * 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 product of the elements of a is %f\n", REDUCER_VIEW(r)); * * See @ref reducers_c_predefined. */ #ifdef __cplusplus namespace cilk { /** The multiplication reducer view class. * * This is the view class for reducers created with * `cilk::reducer< cilk::op_mul >`. It holds the accumulator variable * for the reduction, and allows only multiplication 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_mul 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 ReducersMul * @see op_mul * * @ingroup ReducersMul */ template class op_mul_view : public scalar_view { typedef scalar_view base; public: /** Class to represent the right-hand side of `*reducer = *reducer * value`. * * The only assignment operator for the op_mul_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_mul_view are * ones which generate an rhs_proxy — that is, expressions of the form * `op_mul_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_mul_view */ class rhs_proxy { friend class op_mul_view; const op_mul_view* m_view; Type m_value; // Constructor is invoked only from op_mul_view::operator*(). // rhs_proxy(const op_mul_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: /** Multiply by an additional rhs value. If `v` is an op_mul_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; } }; /** Default/identity constructor. This constructor initializes the * contained value to `Type(1)`, which is expected to be the identity * value for multiplication on `Type`. */ op_mul_view() : base(Type(1)) {} /** Construct with a specified initial value. */ explicit op_mul_view(const Type& v) : base(v) {} /** Reduction operation. * * This function is invoked by the @ref op_mul monoid to combine the views * of two strands when the right strand merges with the left one. It * multiplies the value contained in the left-strand view by the value * contained in the right-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_mul monoid to implement the monoid * reduce operation. */ void reduce(op_mul_view* right) { this->m_value *= right->m_value; } /** @name Accumulator variable updates. * * These functions support the various syntaxes for multiplying the * accumulator variable contained in the view by some value. */ //@{ /** Multiply the accumulator variable by @a x. */ op_mul_view& operator*=(const Type& x) { this->m_value *= x; return *this; } /** 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_mul_view& operator=(const rhs_proxy& rhs) { __CILKRTS_ASSERT(this == rhs.m_view); this->m_value *= rhs.m_value; return *this; } //@} }; /** Monoid class for multiplication reductions. Instantiate the cilk::reducer * template class with an op_mul monoid to create a multiplication reducer * class. For example, to compute the product of a set of `double` values: * * cilk::reducer< cilk::op_mul > r; * * @see ReducersMul * @see op_mul_view * * @ingroup ReducersMul */ template struct op_mul : public monoid_with_view< op_mul_view > {}; } // namespace cilk #endif // __cplusplus /** @ingroup ReducersAdd */ //@{ /** @name C language reducer macros * * These macros are used to declare and work with numeric op_mul reducers in * C code. * * @see @ref page_reducers_in_c */ //@{ __CILKRTS_BEGIN_EXTERN_C /** Opmul reducer type name. * * This macro expands into the identifier which is the name of the op_mul * 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 ReducersMul */ #define CILK_C_REDUCER_OPMUL_TYPE(tn) \ __CILKRTS_MKIDENT(cilk_c_reducer_opmul_,tn) /** Declare an op_mul reducer object. * * This macro expands into a declaration of an op_mul reducer object for a * specified numeric type. For example: * * CILK_C_REDUCER_OPMUL(my_reducer, double, 1.0); * * @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 ReducersMul */ #define CILK_C_REDUCER_OPMUL(obj,tn,v) \ CILK_C_REDUCER_OPMUL_TYPE(tn) obj = \ CILK_C_INIT_REDUCER(_Typeof(obj.value), \ __CILKRTS_MKIDENT(cilk_c_reducer_opmul_reduce_,tn), \ __CILKRTS_MKIDENT(cilk_c_reducer_opmul_identity_,tn), \ __cilkrts_hyperobject_noop_destroy, v) /// @cond internal /** Declare the op_mul reducer functions for a numeric type. * * This macro expands into external function declarations for functions which * implement the reducer functionality for the op_mul 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_OPMUL_DECLARATION(t,tn) \ typedef CILK_C_DECLARE_REDUCER(t) CILK_C_REDUCER_OPMUL_TYPE(tn); \ __CILKRTS_DECLARE_REDUCER_REDUCE(cilk_c_reducer_opmul,tn,l,r); \ __CILKRTS_DECLARE_REDUCER_IDENTITY(cilk_c_reducer_opmul,tn); /** Define the op_mul reducer functions for a numeric type. * * This macro expands into function definitions for functions which implement * the reducer functionality for the op_mul 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_OPMUL_DEFINITION(t,tn) \ typedef CILK_C_DECLARE_REDUCER(t) CILK_C_REDUCER_OPMUL_TYPE(tn); \ __CILKRTS_DECLARE_REDUCER_REDUCE(cilk_c_reducer_opmul,tn,l,r) \ { *(t*)l *= *(t*)r; } \ __CILKRTS_DECLARE_REDUCER_IDENTITY(cilk_c_reducer_opmul,tn) \ { *(t*)v = 1; } //@{ /** @def CILK_C_REDUCER_OPMUL_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_OPMUL_INSTANCE(t,tn) \ CILK_C_REDUCER_OPMUL_DEFINITION(t,tn) #else # define CILK_C_REDUCER_OPMUL_INSTANCE(t,tn) \ CILK_C_REDUCER_OPMUL_DECLARATION(t,tn) #endif //@} /* Declare or define an instance of the reducer type and its functions for each * numeric type. */ CILK_C_REDUCER_OPMUL_INSTANCE(char, char) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned char, uchar) CILK_C_REDUCER_OPMUL_INSTANCE(signed char, schar) CILK_C_REDUCER_OPMUL_INSTANCE(wchar_t, wchar_t) CILK_C_REDUCER_OPMUL_INSTANCE(short, short) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned short, ushort) CILK_C_REDUCER_OPMUL_INSTANCE(int, int) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned int, uint) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned int, unsigned) /* alternate name */ CILK_C_REDUCER_OPMUL_INSTANCE(long, long) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned long, ulong) CILK_C_REDUCER_OPMUL_INSTANCE(long long, longlong) CILK_C_REDUCER_OPMUL_INSTANCE(unsigned long long, ulonglong) CILK_C_REDUCER_OPMUL_INSTANCE(float, float) CILK_C_REDUCER_OPMUL_INSTANCE(double, double) CILK_C_REDUCER_OPMUL_INSTANCE(long double, longdouble) //@endcond __CILKRTS_END_EXTERN_C //@} //@} #endif /* REDUCER_OPMUL_H_INCLUDED */