common_dims.cpp

#include <migraphx/common_dims.hpp>
#include <migraphx/ranges.hpp>
#include <algorithm>
#include <cassert>
#include <numeric>

namespace migraphx {
inline namespace MIGRAPHX_INLINE_NS {

template <class Iterator>
static auto compute_end_dim(Iterator start, Iterator last, std::size_t dim)
{
    std::size_t x = 1;
    auto it       = std::find_if(start, last, [&](auto i) {
        x *= i;
        return x > dim;
    });
    if(x < dim)
        return start;
    return it;
}

template <class Range>
static auto elements(const Range& r)
{
    return std::accumulate(r.begin(), r.end(), std::size_t{1}, std::multiplies<>{});
}

struct common_dim_state
{
    common_dim_state(const std::vector<std::size_t>& pdims, std::vector<std::vector<std::size_t>>& paxes_map) : dims(&pdims), axes_map(&paxes_map), it(dims->begin()) {}
    const std::vector<std::size_t>* dims = nullptr;
    std::vector<std::vector<std::size_t>>* axes_map = nullptr;
    std::vector<std::size_t>::const_iterator it{};
    std::size_t rem = 1;
    std::size_t get() const { return *it / rem; }
    bool is_end() const { return it == dims->end(); }
    void next(std::size_t i = 1) { it += i; }
    auto dims_for(std::size_t d) const
    {
        auto dim_end = compute_end_dim(it, dims->end(), d);
        return range(it, dim_end);
    }
    void add_axes(std::size_t naxes, std::size_t start)
    {
        auto axes = compute_axes(naxes, start);
        axes_map->push_back(std::move(axes));
    }

    void add_multi_axes(std::size_t naxes, std::size_t start)
    {
        auto axes = compute_axes(naxes, start);
        std::transform(axes.begin(), axes.end(), std::back_inserter(*axes_map), [&](auto axis) -> std::vector<std::size_t> {
            return {axis};
        });
    }
    std::vector<std::size_t> compute_axes(std::size_t naxes, std::size_t start) const
    {
        if (rem != 1) {
            assert(start > 0);
            naxes++;
            start--;
        }
        std::vector<std::size_t> axes(naxes);
        std::iota(axes.begin(), axes.end(), start);
        return axes;
    }
};

static bool commpute_common_dim(std::vector<std::size_t>& cd_dims, common_dim_state& state1, common_dim_state& state2)
{
    assert(state1.get() <= state2.get());
    auto d2 = state2.get();
    auto dims    = state1.dims_for(d2);
    auto n       = elements(dims);
    auto naxes = distance(dims);
    // If not divisible then we can't compute a common dim
    if((d2 % n) != 0)
        return true;
    auto rem = d2 / n;
    state1.add_multi_axes(naxes, cd_dims.size());
    state2.add_axes(rem != 1 ? naxes + 1 : naxes, cd_dims.size());
    
    state1.rem = rem;
    state2.rem = 1;

    cd_dims.insert(cd_dims.end(), dims.begin(), dims.end());
    if(state1.rem != 1)
        cd_dims.push_back(state1.rem);
    state1.next(distance(dims));
    state2.next();
    return false;
}

common_dims common_dims::compute(const std::vector<std::size_t>& dims1,
                                 const std::vector<std::size_t>& dims2)
{
    assert(elements(dims1) == elements(dims2));
    common_dims cd;
    common_dim_state state1{dims1, cd.axes_map1};
    common_dim_state state2{dims2, cd.axes_map2};
    while(not state1.is_end() and not state2.is_end())
    {
        auto d1 = state1.get();
        auto d2 = state2.get();
        if(d1 <= d2)
        {
            if (commpute_common_dim(cd.dims, state1, state2))
                return {};
        }
        else // if(d1 > d2)
        {
            if (commpute_common_dim(cd.dims, state2, state1))
                return {};
        }
    }
    assert(elements(dims1) == elements(cd.dims));
    return cd;
}

} // namespace MIGRAPHX_INLINE_NS
} // namespace migraphx