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/*! \file
 *  \brief gbyte.hpp provides data transfer counts of Sparse Linear Algebra Subprograms
 *  of Level 1, 2 and 3.
 */

#pragma once
#ifndef GBYTE_HPP
#define GBYTE_HPP

#include <rocsparse.h>

/*
 * ===========================================================================
 *    level 1 SPARSE
 * ===========================================================================
 */
template <typename T, typename I>
constexpr double axpby_gbyte_count(I nnz)
{
    return (nnz * sizeof(I) + (3.0 * nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double doti_gbyte_count(I nnz)
{
    return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double gthr_gbyte_count(I nnz)
{
    return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gthrz_gbyte_count(rocsparse_int nnz)
{
    return (nnz * sizeof(rocsparse_int) + (2.0 * nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double roti_gbyte_count(I nnz)
{
    return (nnz * sizeof(I) + (3.0 * nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double sctr_gbyte_count(I nnz)
{
    return (nnz * sizeof(I) + (2.0 * nnz) * sizeof(T)) / 1e9;
}

/*
 * ===========================================================================
 *    level 2 SPARSE
 * ===========================================================================
 */
template <typename T>
constexpr double bsrmv_gbyte_count(rocsparse_int mb,
                                   rocsparse_int nb,
                                   rocsparse_int nnzb,
                                   rocsparse_int bsr_dim,
                                   bool          beta = false)
{
    return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
            + ((mb + nb) * bsr_dim + nnzb * bsr_dim * bsr_dim + (beta ? mb * bsr_dim : 0))
                  * sizeof(T))
           / 1e9;
}

template <typename T, typename I>
constexpr double coomv_gbyte_count(I M, I N, I nnz, bool beta = false)
{
    return (2.0 * nnz * sizeof(I) + (M + N + nnz + (beta ? M : 0)) * sizeof(T)) / 1e9;
}

template <typename T, typename I, typename J>
constexpr double csrmv_gbyte_count(J M, J N, I nnz, bool beta = false)
{
    return ((M + 1) * sizeof(I) + nnz * sizeof(J) + (M + N + nnz + (beta ? M : 0)) * sizeof(T))
           / 1e9;
}

template <typename T>
constexpr double bsrsv_gbyte_count(rocsparse_int mb, rocsparse_int nnzb, rocsparse_int bsr_dim)
{
    return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
            + (bsr_dim * (mb + mb + nnzb * bsr_dim)) * sizeof(T))
           / 1e9;
}

template <typename T, typename I, typename J>
constexpr double csrsv_gbyte_count(J M, I nnz)
{
    return ((M + 1) * sizeof(I) + nnz * sizeof(J) + (M + M + nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double coosv_gbyte_count(I M, I nnz)
{
    return (2 * nnz * sizeof(I) + (M + M + nnz) * sizeof(T)) / 1e9;
}

template <typename T, typename I>
constexpr double ellmv_gbyte_count(I M, I N, I nnz, bool beta = false)
{
    return (nnz * sizeof(I) + (M + N + nnz + (beta ? M : 0)) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gebsrmv_gbyte_count(rocsparse_int mb,
                                     rocsparse_int nb,
                                     rocsparse_int nnzb,
                                     rocsparse_int row_block_dim,
                                     rocsparse_int col_block_dim,
                                     bool          beta = false)
{
    return ((mb + 1 + nnzb) * sizeof(rocsparse_int)
            + ((mb + nb) * row_block_dim + nnzb * row_block_dim * col_block_dim
               + (beta ? mb * row_block_dim : 0))
                  * sizeof(T))
           / 1e9;
}

template <typename T, typename I>
constexpr double gemvi_gbyte_count(I m, I nnz, bool beta = false)
{
    return ((nnz) * sizeof(I) + (m * nnz + nnz + m + (beta ? m : 0)) * sizeof(T)) / 1e9;
}

/*
 * ===========================================================================
 *    level 3 SPARSE
 * ===========================================================================
 */
template <typename T>
constexpr double bsrmm_gbyte_count(rocsparse_int Mb,
                                   rocsparse_int nnzb,
                                   rocsparse_int block_dim,
                                   rocsparse_int nnz_B,
                                   rocsparse_int nnz_C,
                                   bool          beta = false)
{
    //reads
    size_t reads = (Mb + 1 + nnzb) * sizeof(rocsparse_int)
                   + (block_dim * block_dim * nnzb + nnz_B + (beta ? nnz_C : 0)) * sizeof(T);

    //writes
    size_t writes = nnz_C * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double gebsrmm_gbyte_count(rocsparse_int Mb,
                                     rocsparse_int nnzb,
                                     rocsparse_int row_block_dim,
                                     rocsparse_int col_block_dim,
                                     rocsparse_int nnz_B,
                                     rocsparse_int nnz_C,
                                     bool          beta = false)
{
    //reads
    size_t reads
        = (Mb + 1 + nnzb) * sizeof(rocsparse_int)
          + (row_block_dim * col_block_dim * nnzb + nnz_B + (beta ? nnz_C : 0)) * sizeof(T);

    //writes
    size_t writes = nnz_C * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T, typename I, typename J>
constexpr double csrmm_gbyte_count(J M, I nnz_A, I nnz_B, I nnz_C, bool beta = false)
{
    return ((M + 1) * sizeof(I) + nnz_A * sizeof(J)
            + (nnz_A + nnz_B + nnz_C + (beta ? nnz_C : 0)) * sizeof(T))
           / 1e9;
}

template <typename T, typename I>
constexpr double coomm_gbyte_count(I nnz_A, I nnz_B, I nnz_C, bool beta = false)
{
    return (2.0 * nnz_A * sizeof(I) + (nnz_A + nnz_B + nnz_C + (beta ? nnz_C : 0)) * sizeof(T))
           / 1e9;
}

template <rocsparse_format FORMAT>
struct rocsparse_gbyte_count
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false);
};

template <>
struct rocsparse_gbyte_count<rocsparse_format_csr>
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
    {
        size_t l = ((size_t)nnz);
        return ((size_t(M) + 1) * sizeof(I) + l * sizeof(J)
                + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
               / 1e9;
    }
};

template <>
struct rocsparse_gbyte_count<rocsparse_format_csc>
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
    {
        size_t l = ((size_t)nnz);
        return ((size_t(N) + 1) * sizeof(I) + l * sizeof(J)
                + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
               / 1e9;
    }
};

template <>
struct rocsparse_gbyte_count<rocsparse_format_coo>
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
    {
        size_t l = ((size_t)nnz);
        return (l * 2 * sizeof(I) + l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)) / 1e9;
    }
};

template <>
struct rocsparse_gbyte_count<rocsparse_format_coo_aos>
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
    {
        size_t l = ((size_t)nnz);
        return (l * 2 * sizeof(I) + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T))) / 1e9;
    }
};

template <>
struct rocsparse_gbyte_count<rocsparse_format_ell>
{
    template <typename T, typename I, typename J>
    static constexpr double sddmm(J M, J N, I nnz, J K, bool beta = false)
    {
        size_t l = ((size_t)nnz);
        return (l * sizeof(J) + (l * (K * 2 + ((beta) ? 1 : 0)) * sizeof(T)))
               / static_cast<size_t>(1e9);
    }
};

/*
 * ===========================================================================
 *    extra SPARSE
 * ===========================================================================
 */
template <typename T>
constexpr double csrgeam_gbyte_count(rocsparse_int M,
                                     rocsparse_int nnz_A,
                                     rocsparse_int nnz_B,
                                     rocsparse_int nnz_C,
                                     const T*      alpha,
                                     const T*      beta)
{
    double size_A = alpha ? (M + 1.0 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T) : 0.0;
    double size_B = alpha ? (M + 1.0 + nnz_B) * sizeof(rocsparse_int) + nnz_B * sizeof(T) : 0.0;
    double size_C = (M + 1.0 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);

    return (size_A + size_B + size_C) / 1e9;
}

template <typename T, typename I = rocsparse_int, typename J = rocsparse_int>
constexpr double csrgemm_gbyte_count(
    J M, J N, J K, I nnz_A, I nnz_B, I nnz_C, I nnz_D, const T* alpha, const T* beta)
{
    double size_A = alpha ? (M + 1.0) * sizeof(I) + nnz_A * sizeof(J) + nnz_A * sizeof(T) : 0.0;
    double size_B = alpha ? (K + 1.0) * sizeof(I) + nnz_B * sizeof(J) + nnz_B * sizeof(T) : 0.0;
    double size_C = (M + 1.0) * sizeof(I) + nnz_C * sizeof(J) + nnz_C * sizeof(T);
    double size_D = beta ? (M + 1.0) * sizeof(I) + nnz_D * sizeof(J) + nnz_D * sizeof(T) : 0.0;

    return (size_A + size_B + size_C + size_D) / 1e9;
}

/*
 * ===========================================================================
 *    precond SPARSE
 * ===========================================================================
 */
template <typename T>
constexpr double bsric0_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
    return ((Mb + 1 + nnzb) * sizeof(rocsparse_int)
            + 2.0 * block_dim * block_dim * nnzb * sizeof(T))
           / 1e9;
}

template <typename T>
constexpr double bsrilu0_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
    return ((Mb + 1 + nnzb) * sizeof(rocsparse_int)
            + 2.0 * block_dim * block_dim * nnzb * sizeof(T))
           / 1e9;
}

template <typename T>
constexpr double csric0_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
    return ((M + 1 + nnz) * sizeof(rocsparse_int) + 2.0 * nnz * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double csrilu0_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
    return ((M + 1 + nnz) * sizeof(rocsparse_int) + 2.0 * nnz * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gtsv_gbyte_count(rocsparse_int M, rocsparse_int N)
{
    return ((3 * M + 2 * M * N) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gtsv_strided_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
    return ((3 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gtsv_interleaved_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
    return ((3 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double gpsv_interleaved_batch_gbyte_count(rocsparse_int M, rocsparse_int N)
{
    return ((5 * M * N + 2 * M * N) * sizeof(T)) / 1e9;
}

/*
 * ===========================================================================
 *    conversion SPARSE
 * ===========================================================================
 */
template <typename T>
constexpr double nnz_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_direction dir)
{
    return ((M * N) * sizeof(T)
            + ((rocsparse_direction_row == dir) ? M : N) * sizeof(rocsparse_int))
           / 1e9;
}

template <rocsparse_direction DIRA, typename T, typename I, typename J>
constexpr double dense2csx_gbyte_count(J M, J N, I nnz)
{
    const J      L             = (rocsparse_direction_row == DIRA) ? M : N;
    const size_t write_csx_ptr = (L + 1) * sizeof(I);
    const size_t read_csx_ptr  = (L + 1) * sizeof(I);
    const size_t build_csx_ptr = write_csx_ptr + read_csx_ptr;

    const size_t write_csx  = nnz * sizeof(T) + nnz * sizeof(J) + (L + 1) * sizeof(I);
    const size_t read_dense = M * N * sizeof(T);
    return (read_dense + build_csx_ptr + write_csx) / 1e9;
}

template <typename T, typename I>
constexpr double dense2coo_gbyte_count(I M, I N, I nnz)
{
    size_t reads  = (M * N) * sizeof(T);
    size_t writes = 2 * nnz * sizeof(I) + nnz * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double prune_dense2csr_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_int nnz)
{
    size_t reads = M * N * sizeof(T);

    size_t writes = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double
    prune_dense2csr_by_percentage_gbyte_count(rocsparse_int M, rocsparse_int N, rocsparse_int nnz)
{
    size_t reads = M * N * sizeof(T);

    size_t writes = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);

    return (reads + writes) / 1e9;
}

template <rocsparse_direction DIRA, typename T, typename I, typename J>
constexpr double csx2dense_gbyte_count(J M, J N, I nnz)
{
    const J      L        = (rocsparse_direction_row == DIRA) ? M : N;
    const size_t read_csx = nnz * sizeof(T) + nnz * sizeof(J) + (L + 1) * sizeof(I);
    const size_t write_dense
        = M * N * sizeof(T) + nnz * sizeof(T); // set to zero + nnz assignments.
    return (read_csx + write_dense) / 1e9;
}

template <typename T, typename I>
constexpr double coo2dense_gbyte_count(I M, I N, I nnz)
{
    size_t reads  = 2 * nnz * sizeof(I) + nnz * sizeof(T);
    size_t writes = (M * N) * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double csr2coo_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
    return (M + 1 + nnz) * sizeof(rocsparse_int) / 1e9;
}

template <typename T>
constexpr double coo2csr_gbyte_count(rocsparse_int M, rocsparse_int nnz)
{
    return (M + 1 + nnz) * sizeof(rocsparse_int) / 1e9;
}

template <typename T>
constexpr double csr2csc_gbyte_count(rocsparse_int    M,
                                     rocsparse_int    N,
                                     rocsparse_int    nnz,
                                     rocsparse_action action)
{
    return ((M + N + 2 + 2.0 * nnz) * sizeof(rocsparse_int)
            + (action == rocsparse_action_numeric ? (2.0 * nnz) * sizeof(T) : 0.0))
           / 1e9;
}

template <typename T>
constexpr double gebsr2gebsc_gbyte_count(rocsparse_int    Mb,
                                         rocsparse_int    Nb,
                                         rocsparse_int    nnzb,
                                         rocsparse_int    row_block_dim,
                                         rocsparse_int    col_block_dim,
                                         rocsparse_action action)
{
    return ((Mb + Nb + 2 + 2.0 * nnzb) * sizeof(rocsparse_int)
            + (action == rocsparse_action_numeric
                   ? (2.0 * nnzb * row_block_dim * col_block_dim) * sizeof(T)
                   : 0.0))
           / 1e9;
}

template <typename T>
constexpr double csr2ell_gbyte_count(rocsparse_int M, rocsparse_int nnz, rocsparse_int ell_nnz)
{
    return ((M + 1.0 + ell_nnz) * sizeof(rocsparse_int) + (nnz + ell_nnz) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double ell2csr_gbyte_count(rocsparse_int M, rocsparse_int csr_nnz, rocsparse_int ell_nnz)
{
    return ((M + 1.0 + ell_nnz) * sizeof(rocsparse_int) + (csr_nnz + ell_nnz) * sizeof(T)) / 1e9;
}

template <typename T>
constexpr double csr2hyb_gbyte_count(rocsparse_int M,
                                     rocsparse_int nnz,
                                     rocsparse_int ell_nnz,
                                     rocsparse_int coo_nnz)
{
    return ((M + 1.0 + ell_nnz + 2.0 * coo_nnz) * sizeof(rocsparse_int)
            + (nnz + ell_nnz + coo_nnz) * sizeof(T))
           / 1e9;
}

template <typename T>
constexpr double hyb2csr_gbyte_count(rocsparse_int M,
                                     rocsparse_int csr_nnz,
                                     rocsparse_int ell_nnz,
                                     rocsparse_int coo_nnz)
{
    return ((M + 1.0 + csr_nnz + ell_nnz + 2.0 * coo_nnz) * sizeof(rocsparse_int)
            + (csr_nnz + ell_nnz + coo_nnz) * sizeof(T))
           / 1e9;
}

template <typename T>
constexpr double bsr2csr_gbyte_count(rocsparse_int Mb, rocsparse_int block_dim, rocsparse_int nnzb)
{
    // reads
    size_t reads
        = nnzb * block_dim * block_dim * sizeof(T) + (Mb + 1 + nnzb) * sizeof(rocsparse_int);

    // writes
    size_t writes = nnzb * block_dim * block_dim * sizeof(T)
                    + (Mb * block_dim + 1 + nnzb * block_dim * block_dim) * sizeof(rocsparse_int);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double gebsr2csr_gbyte_count(rocsparse_int Mb,
                                       rocsparse_int row_block_dim,
                                       rocsparse_int col_block_dim,
                                       rocsparse_int nnzb)
{
    // reads
    size_t reads = nnzb * row_block_dim * col_block_dim * sizeof(T)
                   + (Mb + 1 + nnzb) * sizeof(rocsparse_int);

    // writes
    size_t writes
        = nnzb * row_block_dim * col_block_dim * sizeof(T)
          + (Mb * row_block_dim + 1 + nnzb * row_block_dim * col_block_dim) * sizeof(rocsparse_int);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double gebsr2gebsr_gbyte_count(rocsparse_int Mb_A,
                                         rocsparse_int Mb_C,
                                         rocsparse_int row_block_dim_A,
                                         rocsparse_int col_block_dim_A,
                                         rocsparse_int row_block_dim_C,
                                         rocsparse_int col_block_dim_C,
                                         rocsparse_int nnzb_A,
                                         rocsparse_int nnzb_C)
{
    // reads
    size_t reads = nnzb_A * row_block_dim_A * col_block_dim_A * sizeof(T)
                   + (Mb_A + 1 + nnzb_A) * sizeof(rocsparse_int);

    // writes
    size_t writes = nnzb_C * row_block_dim_C * col_block_dim_C * sizeof(T)
                    + (Mb_C + 1 + nnzb_C) * sizeof(rocsparse_int);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double csr2bsr_gbyte_count(rocsparse_int M,
                                     rocsparse_int Mb,
                                     rocsparse_int nnz,
                                     rocsparse_int nnzb,
                                     rocsparse_int block_dim)
{
    // reads
    size_t reads = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);

    // writes
    size_t writes = (Mb + 1 + nnzb * block_dim * block_dim) * sizeof(rocsparse_int)
                    + (nnzb * block_dim * block_dim) * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double csr2gebsr_gbyte_count(rocsparse_int M,
                                       rocsparse_int Mb,
                                       rocsparse_int nnz,
                                       rocsparse_int nnzb,
                                       rocsparse_int row_block_dim,
                                       rocsparse_int col_block_dim)
{
    // reads
    size_t reads = (M + 1 + nnz) * sizeof(rocsparse_int) + nnz * sizeof(T);

    // writes
    size_t writes = (Mb + 1 + nnzb * row_block_dim * col_block_dim) * sizeof(rocsparse_int)
                    + (nnzb * row_block_dim * col_block_dim) * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double
    csr2csr_compress_gbyte_count(rocsparse_int M, rocsparse_int nnz_A, rocsparse_int nnz_C)
{
    size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);

    size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double
    prune_csr2csr_gbyte_count(rocsparse_int M, rocsparse_int nnz_A, rocsparse_int nnz_C)
{
    // reads
    size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);

    // writes
    size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double prune_csr2csr_by_percentage_gbyte_count(rocsparse_int M,
                                                         rocsparse_int nnz_A,
                                                         rocsparse_int nnz_C)
{
    // reads
    size_t reads = (M + 1 + nnz_A) * sizeof(rocsparse_int) + nnz_A * sizeof(T);

    // writes
    size_t writes = (M + 1 + nnz_C) * sizeof(rocsparse_int) + nnz_C * sizeof(T);

    return (reads + writes) / 1e9;
}

template <typename T>
constexpr double identity_gbyte_count(rocsparse_int N)
{
    return N * sizeof(rocsparse_int) / 1e9;
}

template <typename T>
constexpr double csrsort_gbyte_count(rocsparse_int M, rocsparse_int nnz, bool permute)
{
    return ((2.0 * M + 2.0 + 2.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int))
           / 1e9;
}

template <typename T>
constexpr double cscsort_gbyte_count(rocsparse_int N, rocsparse_int nnz, bool permute)
{
    return ((2.0 * N + 2.0 + 2.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int))
           / 1e9;
}

template <typename T>
constexpr double coosort_gbyte_count(rocsparse_int nnz, bool permute)
{
    return ((4.0 * nnz + (permute ? 2.0 * nnz : 0.0)) * sizeof(rocsparse_int)) / 1e9;
}

#endif // GBYTE_HPP