cosine_similarity.hpp

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/*
 *   Copyright 2021 Huawei Technologies Co., Ltd.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
 
#ifndef _H_GRB_COSSIM
#define _H_GRB_COSSIM
 
#include <graphblas.hpp>
#include <graphblas/algorithms/norm.hpp>
 
 
#define NO_CAST_ASSERT( x, y, z )                                                                       \
    static_assert( x,                                                                                   \
        "\n\n"                                                                                          \
        "*******************************************************************************************\n" \
        "*     ERROR      | " y " " z ".\n"                                                             \
        "*******************************************************************************************\n" \
        "* Possible fix 1 | Remove no_casting from the template parameters in this call to " y ".   \n" \
        "* Possible fix 2 | For all mismatches in the domains of input and output parameters w.r.t. \n" \
        "*                  the semiring domains, as specified in the documentation of the function.\n" \
        "*                  supply an input argument of the expected type instead.\n"                   \
        "* Possible fix 3 | Provide a compatible semiring where all domains match those of the input\n" \
        "*                  parameters, as specified in the documentation of the function.\n"           \
        "*******************************************************************************************\n" );
 
 
namespace grb {
 
    namespace algorithms {
 
        template<
            Descriptor descr = descriptors::no_operation,
            typename OutputType,
            typename InputType1,
            typename InputType2,
            class Ring,
            class Division = grb::operators::divide<
                typename Ring::D3, typename Ring::D3, typename Ring::D4
            >
        >
        RC cosine_similarity(
            OutputType &similarity,
            const Vector< InputType1 > &x, const Vector< InputType2 > &y,
            const Ring &ring = Ring(), const Division &div = Division()
        ) {
            static_assert( std::is_floating_point< OutputType >::value,
                "Cosine similarity requires a floating-point output type." );
 
            // static sanity checks
            NO_CAST_ASSERT( ( !(descr & descriptors::no_casting) ||
                    std::is_same< InputType1, typename Ring::D1 >::value
                ), "grb::algorithms::cosine_similarity",
                "called with a left-hand vector value type that does not match the "
                "first domain of the given semiring" );
            NO_CAST_ASSERT( ( !(descr & descriptors::no_casting) ||
                    std::is_same< InputType2, typename Ring::D2 >::value
                ), "grb::algorithms::cosine_similarity",
                "called with a right-hand vector value type that does not match "
                "the second domain of the given semiring" );
            NO_CAST_ASSERT( ( !(descr & descriptors::no_casting) ||
                    std::is_same< OutputType, typename Ring::D4 >::value
                ), "grb::algorithms::cosine_similarity",
                "called with an output vector value type that does not match the "
                "fourth domain of the given semiring" );
            NO_CAST_ASSERT( ( !(descr & descriptors::no_casting) ||
                    std::is_same< typename Ring::D3, typename Ring::D4 >::value
                ), "grb::algorithms::cosine_similarity",
                "called with a semiring that has unequal additive input domains" );
 
            const size_t n = size( x );
 
            // run-time sanity checks
            if( n != size( y ) ) {
                return MISMATCH;
            }
 
            // check whether inputs are dense
            const bool dense = nnz( x ) == n && nnz( y ) == n;
 
            // set return code
            RC rc = SUCCESS;
 
            // compute-- choose method depending on we can stream once or need to stream
            // multiple times
            OutputType nominator, denominator;
            nominator = denominator = ring.template getZero< OutputType >();
            if( dense && grb::Properties<>::writableCaptured ) {
                // lambda works, so we can stream each vector precisely once:
                OutputType norm1, norm2;
                norm1 = norm2 = ring.template getZero< OutputType >();
                rc = grb::eWiseLambda(
                    [ &x, &y, &nominator, &norm1, &norm2, &ring ]( const size_t i ) {
                        const auto &mul = ring.getMultiplicativeOperator();
                        const auto &add = ring.getAdditiveOperator();
                        OutputType temp;
                        (void) grb::apply( temp, x[ i ], y[ i ], mul );
                        (void) grb::foldl( nominator, temp, add );
                        (void) grb::apply( temp, x[ i ], x[ i ], mul );
                        (void) grb::foldl( norm1, temp, add );
                        (void) grb::apply( temp, y[ i ], y[ i ], mul );
                        (void) grb::foldl( norm2, temp, add );
                    }, x, y
                );
                denominator = sqrt( norm1 ) * sqrt( norm2 );
            } else {
                // cannot stream each vector once, stream each one twice instead using
                // standard grb functions
                rc = grb::norm2( nominator, x, ring );
                if( rc == SUCCESS ) {
                    rc = grb::norm2( denominator, y, ring );
                }
                if( rc == SUCCESS ) {
                    rc = grb::foldl( denominator, nominator,
                        ring.getMultiplicativeOperator() );
                }
                if( rc == SUCCESS ) {
                    rc = grb::dot( nominator, x, y, ring );
                }
            }
 
            // accumulate
            if( rc == SUCCESS ) {
                // catch zeroes
                if( denominator == ring.template getZero() ) {
                    return ILLEGAL;
                }
                if( nominator == ring.template getZero() ) {
                    return ILLEGAL;
                }
                rc = grb::apply( similarity, nominator, denominator, div );
            }
 
            // done
            return rc;
        }
 
    } // end namespace algorithms
 
} // end namespace grb
 
#undef NO_CAST_ASSERT
 
#endif // end _H_GRB_COSSIM