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A library for storing interpolatable vector fields on co-processors

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covfie

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covfie (pronounced coffee) is a co-processor vector field library. covfie consists of two main components; the first is the header-only C++ library, which can be used by scientific applications using CUDA or other programming platforms. The second is a set of benchmarks which can be used to quantify the computational performance of all the different vector field implementations covfie provides. Arguably, the test suite constitutes a third component.

Quick start

All covfie vector fields are stored in the covfie::field type and they are accessed using the covfie::field_view type. These require a backend type passed as a template parameters, and their behaviour can be expanded using transformers. The easiest way to get started using covfie is to use a field builder backend, which allows you to write data to memory (the following example is included in the repository as readme_example_1):

using field_t = covfie::field<covfie::backend::strided<
    covfie::vector::size2,
    covfie::backend::array<covfie::vector::float2>>>;

int main(void)
{
    // Initialize the field as a 10x10 field, then create a view from it.
    field_t my_field(covfie::make_parameter_pack(
        field_t::backend_t::configuration_t{10ul, 10ul}
    ));
    field_t::view_t my_view(my_field);

    // Assign f(x, y) = (sin x, cos y)
    for (std::size_t x = 0ul; x < 10ul; ++x) {
        for (std::size_t y = 0ul; y < 10ul; ++y) {
            my_view.at(x, y)[0] = std::sin(static_cast<float>(x));
            my_view.at(x, y)[1] = std::cos(static_cast<float>(y));
        }
    }

    // Retrieve the vector value at (2, 3)
    field_t::output_t v = my_view.at(2ul, 3ul);

    std::cout << "Value at (2, 3) = (" << v[0] << ", " << v[1] << ")"
              << std::endl;

    return 0;
}

This next example (readme_example_2) creates a two-dimensional vector field over the natural numbers, stretching 10 indices in each direction. If we want to use real numbers for our vector field, we can simply add a linear interpolator:

using builder_t = covfie::field<covfie::backend::strided<
    covfie::vector::size2,
    covfie::backend::array<covfie::vector::float2>>>;

using field_t = covfie::field<covfie::backend::linear<covfie::backend::strided<
    covfie::vector::size2,
    covfie::backend::array<covfie::vector::float2>>>>;

int main(void)
{
    // Initialize the field as a 10x10 field, then create a view from it.
    builder_t my_field(covfie::make_parameter_pack(
        builder_t::backend_t::configuration_t{10ul, 10ul}
    ));
    builder_t::view_t my_view(my_field);

    // Assign f(x, y) = (sin x, cos y)
    for (std::size_t x = 0ul; x < 10ul; ++x) {
        for (std::size_t y = 0ul; y < 10ul; ++y) {
            my_view.at(x, y)[0] = std::sin(static_cast<float>(x));
            my_view.at(x, y)[1] = std::cos(static_cast<float>(y));
        }
    }

    field_t new_field(my_field);
    field_t::view_t new_view(new_field);

    // Retrieve the vector value at (2.31, 3.98)
    field_t::output_t v = new_view.at(2.31f, 3.98f);

    std::cout << "Value at (2.31, 3.98) = (" << v[0] << ", " << v[1] << ")"
              << std::endl;

    return 0;
}

covfie types can seem intimidating at first, but they are quite friendly! Also, you only really need to worry about them once, and you can hide them away in a typedef.

Citation

If you use covfie in your research, please cite the following paper:

@inproceedings{covfie_paper,
    author = {Swatman, Stephen Nicholas and Varbanescu, Ana-Lucia and Pimentel, Andy and Salzburger, Andreas and Krasznahorkay, Attila},
    title = {Systematically Exploring High-Performance Representations of Vector Fields Through Compile-Time Composition},
    year = {2023},
    isbn = {9798400700682},
    publisher = {Association for Computing Machinery},
    address = {New York, NY, USA},
    doi = {10.1145/3578244.3583723},
    booktitle = {Proceedings of the 2023 ACM/SPEC International Conference on Performance Engineering},
    pages = {55–66},
    numpages = {12},
    location = {Coimbra, Portugal},
    series = {ICPE '23}
}

You may also want to cite the software itself. Unfortunately, academia has not yet progressed to the point where software citations are regarded as highly as paper citations; therefore, we prefer references to the paper (although you may want to cite both). To cite the software, use:

@software{covfie_lib,
    author = {Swatman, Stephen Nicholas},
    license = {MPL-2.0},
    title = {{Covfie: A Compositional Vector Field Library}},
    url = {https://github.com/acts-project/covfie}
}

Documentation

All documentation pertaining to covfie can be found on ReadTheDocs at the following URL: https://covfie.readthedocs.io/en/latest/

Use cases

Converting the ATLAS magnetic field

Given the ATLAS magnetic field file in text format, it can be converted into a covfie format using the convert_bfield example (this requires COVFIE_BUILD_EXAMPLES to be enabled at configuration time):

build/examples/core/convert_bfield --input ATLASBField_xyz.txt --output atlas_bfield.cvf

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