dot.hpp

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#pragma once
 
#include <complex>
 
#include "NumCpp/NdArray.hpp"
 
namespace nc
{
    //============================================================================
    // Method Description:
    template<typename dtype>
    NdArray<dtype> dot(const NdArray<dtype>& inArray1, const NdArray<dtype>& inArray2)
    {
        return inArray1.dot(inArray2);
    }
    NdArray<dtype> dot(const NdArray<dtype>& inArray1, const NdArray<dtype>& inArray2) {…}
 
    //============================================================================
    // Method Description:
    template<typename dtype>
    NdArray<std::complex<dtype>> dot(const NdArray<dtype>& inArray1, const NdArray<std::complex<dtype>>& inArray2)
    {
        STATIC_ASSERT_ARITHMETIC(dtype);
 
        const auto shape1 = inArray1.shape();
        const auto shape2 = inArray2.shape();
 
        if (shape1 == shape2 && (shape1.rows == 1 || shape1.cols == 1))
        {
            const std::complex<dtype> dotProduct =
                std::inner_product(inArray1.cbegin(), inArray1.cend(), inArray2.cbegin(), std::complex<dtype>{ 0 });
            NdArray<std::complex<dtype>> returnArray = { dotProduct };
            return returnArray;
        }
        if (shape1.cols == shape2.rows)
        {
            // 2D array, use matrix multiplication
            NdArray<std::complex<dtype>> returnArray(shape1.rows, shape2.cols);
            auto                         array2T = inArray2.transpose();
 
            for (uint32 i = 0; i < shape1.rows; ++i)
            {
                for (uint32 j = 0; j < shape2.cols; ++j)
                {
                    returnArray(i, j) = std::inner_product(array2T.cbegin(j),
                                                           array2T.cend(j),
                                                           inArray1.cbegin(i),
                                                           std::complex<dtype>{ 0 });
                }
            }
 
            return returnArray;
        }
 
        std::string errStr = "shapes of [" + utils::num2str(shape1.rows) + ", " + utils::num2str(shape1.cols) + "]";
        errStr += " and [" + utils::num2str(shape2.rows) + ", " + utils::num2str(shape2.cols) + "]";
        errStr += " are not consistent.";
        THROW_INVALID_ARGUMENT_ERROR(errStr);
 
        return NdArray<std::complex<dtype>>(); // get rid of compiler warning
    }
    NdArray<std::complex<dtype>> dot(const NdArray<dtype>& inArray1, const NdArray<std::complex<dtype>>& inArray2) {…}
 
    //============================================================================
    // Method Description:
    template<typename dtype>
    NdArray<std::complex<dtype>> dot(const NdArray<std::complex<dtype>>& inArray1, const NdArray<dtype>& inArray2)
    {
        STATIC_ASSERT_ARITHMETIC(dtype);
 
        const auto shape1 = inArray1.shape();
        const auto shape2 = inArray2.shape();
 
        if (shape1 == shape2 && (shape1.rows == 1 || shape1.cols == 1))
        {
            const std::complex<dtype> dotProduct =
                std::inner_product(inArray1.cbegin(), inArray1.cend(), inArray2.cbegin(), std::complex<dtype>{ 0 });
            NdArray<std::complex<dtype>> returnArray = { dotProduct };
            return returnArray;
        }
        if (shape1.cols == shape2.rows)
        {
            // 2D array, use matrix multiplication
            NdArray<std::complex<dtype>> returnArray(shape1.rows, shape2.cols);
            auto                         array2T = inArray2.transpose();
 
            for (uint32 i = 0; i < shape1.rows; ++i)
            {
                for (uint32 j = 0; j < shape2.cols; ++j)
                {
                    returnArray(i, j) = std::inner_product(array2T.cbegin(j),
                                                           array2T.cend(j),
                                                           inArray1.cbegin(i),
                                                           std::complex<dtype>{ 0 });
                }
            }
 
            return returnArray;
        }
 
        std::string errStr = "shapes of [" + utils::num2str(shape1.rows) + ", " + utils::num2str(shape1.cols) + "]";
        errStr += " and [" + utils::num2str(shape2.rows) + ", " + utils::num2str(shape2.cols) + "]";
        errStr += " are not consistent.";
        THROW_INVALID_ARGUMENT_ERROR(errStr);
 
        return NdArray<std::complex<dtype>>(); // get rid of compiler warning
    }
    NdArray<std::complex<dtype>> dot(const NdArray<std::complex<dtype>>& inArray1, const NdArray<dtype>& inArray2) {…}
} // namespace nc