#include "simint/boys/boys.h"
#include "simint/ostei/gen/ostei_generated.h"
#include "simint/vectorization/vectorization.h"
#include <math.h>
#include <string.h>


int ostei_p_p_k_k(struct simint_multi_shellpair const P,
                  struct simint_multi_shellpair const Q,
                  double screen_tol,
                  double * const restrict work,
                  double * const restrict INT__p_p_k_k)
{

    SIMINT_ASSUME_ALIGN_DBL(work);
    SIMINT_ASSUME_ALIGN_DBL(INT__p_p_k_k);
    int ab, cd, abcd;
    int istart, jstart;
    int iprimcd, nprim_icd, icd;
    const int check_screen = (screen_tol > 0.0);
    int i, j;
    int n;
    int not_screened;
    int real_abcd;
    int iket;
    int ibra;

    // partition workspace
    double * const INT__p_s_k_s = work + (SIMINT_NSHELL_SIMD * 0);
    double * const INT__p_s_l_s = work + (SIMINT_NSHELL_SIMD * 108);
    double * const INT__p_s_m_s = work + (SIMINT_NSHELL_SIMD * 243);
    double * const INT__p_s_n_s = work + (SIMINT_NSHELL_SIMD * 408);
    double * const INT__p_s_o_s = work + (SIMINT_NSHELL_SIMD * 606);
    double * const INT__p_s_q_s = work + (SIMINT_NSHELL_SIMD * 840);
    double * const INT__p_s_r_s = work + (SIMINT_NSHELL_SIMD * 1113);
    double * const INT__p_s_t_s = work + (SIMINT_NSHELL_SIMD * 1428);
    double * const INT__d_s_k_s = work + (SIMINT_NSHELL_SIMD * 1788);
    double * const INT__d_s_l_s = work + (SIMINT_NSHELL_SIMD * 2004);
    double * const INT__d_s_m_s = work + (SIMINT_NSHELL_SIMD * 2274);
    double * const INT__d_s_n_s = work + (SIMINT_NSHELL_SIMD * 2604);
    double * const INT__d_s_o_s = work + (SIMINT_NSHELL_SIMD * 3000);
    double * const INT__d_s_q_s = work + (SIMINT_NSHELL_SIMD * 3468);
    double * const INT__d_s_r_s = work + (SIMINT_NSHELL_SIMD * 4014);
    double * const INT__d_s_t_s = work + (SIMINT_NSHELL_SIMD * 4644);
    SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*5364);
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 17;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 65;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 155;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 295;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 490;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_i_s = primwork + 742;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_k_s = primwork + 1050;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_l_s = primwork + 1410;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_m_s = primwork + 1815;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_n_s = primwork + 2255;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_o_s = primwork + 2717;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_q_s = primwork + 3185;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_r_s = primwork + 3640;
    SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_t_s = primwork + 4060;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_i_s = primwork + 4420;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_k_s = primwork + 4588;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_l_s = primwork + 4804;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_m_s = primwork + 5074;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_n_s = primwork + 5404;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_o_s = primwork + 5800;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_q_s = primwork + 6268;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_r_s = primwork + 6814;
    SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_t_s = primwork + 7444;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_k_s = primwork + 8164;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_l_s = primwork + 8380;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_m_s = primwork + 8650;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_n_s = primwork + 8980;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_o_s = primwork + 9376;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_q_s = primwork + 9844;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_r_s = primwork + 10390;
    SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_t_s = primwork + 11020;
    double * const hrrwork = (double *)(primwork + 11740);
    double * const HRR_INT__p_p_k_s = hrrwork + 0;
    double * const HRR_INT__p_p_k_p = hrrwork + 324;
    double * const HRR_INT__p_p_k_d = hrrwork + 1296;
    double * const HRR_INT__p_p_k_f = hrrwork + 3240;
    double * const HRR_INT__p_p_k_g = hrrwork + 6480;
    double * const HRR_INT__p_p_k_h = hrrwork + 11340;
    double * const HRR_INT__p_p_k_i = hrrwork + 18144;
    double * const HRR_INT__p_p_l_s = hrrwork + 27216;
    double * const HRR_INT__p_p_l_p = hrrwork + 27621;
    double * const HRR_INT__p_p_l_d = hrrwork + 28836;
    double * const HRR_INT__p_p_l_f = hrrwork + 31266;
    double * const HRR_INT__p_p_l_g = hrrwork + 35316;
    double * const HRR_INT__p_p_l_h = hrrwork + 41391;
    double * const HRR_INT__p_p_l_i = hrrwork + 49896;
    double * const HRR_INT__p_p_m_s = hrrwork + 61236;
    double * const HRR_INT__p_p_m_p = hrrwork + 61731;
    double * const HRR_INT__p_p_m_d = hrrwork + 63216;
    double * const HRR_INT__p_p_m_f = hrrwork + 66186;
    double * const HRR_INT__p_p_m_g = hrrwork + 71136;
    double * const HRR_INT__p_p_m_h = hrrwork + 78561;
    double * const HRR_INT__p_p_n_s = hrrwork + 88956;
    double * const HRR_INT__p_p_n_p = hrrwork + 89550;
    double * const HRR_INT__p_p_n_d = hrrwork + 91332;
    double * const HRR_INT__p_p_n_f = hrrwork + 94896;
    double * const HRR_INT__p_p_n_g = hrrwork + 100836;
    double * const HRR_INT__p_p_o_s = hrrwork + 109746;
    double * const HRR_INT__p_p_o_p = hrrwork + 110448;
    double * const HRR_INT__p_p_o_d = hrrwork + 112554;
    double * const HRR_INT__p_p_o_f = hrrwork + 116766;
    double * const HRR_INT__p_p_q_s = hrrwork + 123786;
    double * const HRR_INT__p_p_q_p = hrrwork + 124605;
    double * const HRR_INT__p_p_q_d = hrrwork + 127062;
    double * const HRR_INT__p_p_r_s = hrrwork + 131976;
    double * const HRR_INT__p_p_r_p = hrrwork + 132921;
    double * const HRR_INT__p_p_t_s = hrrwork + 135756;


    // Create constants
    const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
    const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
    const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
    const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
    const SIMINT_DBLTYPE const_13 = SIMINT_DBLSET1(13);
    const SIMINT_DBLTYPE const_14 = SIMINT_DBLSET1(14);
    const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
    const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
    const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
    const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
    const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
    const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
    const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
    const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
    const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);


    ////////////////////////////////////////
    // Loop over shells and primitives
    ////////////////////////////////////////

    real_abcd = 0;
    istart = 0;
    for(ab = 0; ab < P.nshell12_clip; ++ab)
    {
        const int iend = istart + P.nprim12[ab];

        cd = 0;
        jstart = 0;

        for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
        {
            const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
            int jend = jstart;
            for(i = 0; i < nshellbatch; i++)
                jend += Q.nprim12[cd+i];

            // Clear the beginning of the workspace (where we are accumulating integrals)
            memset(work, 0, SIMINT_NSHELL_SIMD * 5364 * sizeof(double));
            abcd = 0;


            for(i = istart; i < iend; ++i)
            {
                SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen

                if(check_screen)
                {
                    // Skip this whole thing if always insignificant
                    if((P.screen[i] * Q.screen_max) < screen_tol)
                        continue;
                    bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
                }

                icd = 0;
                iprimcd = 0;
                nprim_icd = Q.nprim12[cd];
                double * restrict PRIM_PTR_INT__p_s_k_s = INT__p_s_k_s + abcd * 108;
                double * restrict PRIM_PTR_INT__p_s_l_s = INT__p_s_l_s + abcd * 135;
                double * restrict PRIM_PTR_INT__p_s_m_s = INT__p_s_m_s + abcd * 165;
                double * restrict PRIM_PTR_INT__p_s_n_s = INT__p_s_n_s + abcd * 198;
                double * restrict PRIM_PTR_INT__p_s_o_s = INT__p_s_o_s + abcd * 234;
                double * restrict PRIM_PTR_INT__p_s_q_s = INT__p_s_q_s + abcd * 273;
                double * restrict PRIM_PTR_INT__p_s_r_s = INT__p_s_r_s + abcd * 315;
                double * restrict PRIM_PTR_INT__p_s_t_s = INT__p_s_t_s + abcd * 360;
                double * restrict PRIM_PTR_INT__d_s_k_s = INT__d_s_k_s + abcd * 216;
                double * restrict PRIM_PTR_INT__d_s_l_s = INT__d_s_l_s + abcd * 270;
                double * restrict PRIM_PTR_INT__d_s_m_s = INT__d_s_m_s + abcd * 330;
                double * restrict PRIM_PTR_INT__d_s_n_s = INT__d_s_n_s + abcd * 396;
                double * restrict PRIM_PTR_INT__d_s_o_s = INT__d_s_o_s + abcd * 468;
                double * restrict PRIM_PTR_INT__d_s_q_s = INT__d_s_q_s + abcd * 546;
                double * restrict PRIM_PTR_INT__d_s_r_s = INT__d_s_r_s + abcd * 630;
                double * restrict PRIM_PTR_INT__d_s_t_s = INT__d_s_t_s + abcd * 720;



                // Load these one per loop over i
                const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
                const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
                const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };

                const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };

                for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
                {
                    // calculate the shell offsets
                    // these are the offset from the shell pointed to by cd
                    // for each element
                    int shelloffsets[SIMINT_SIMD_LEN] = {0};
                    int lastoffset = 0;
                    const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));

                    if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
                    {
                        // Handle if the first element of the vector is a new shell
                        if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
                        {
                            nprim_icd += Q.nprim12[cd + (++icd)];
                            PRIM_PTR_INT__p_s_k_s += 108;
                            PRIM_PTR_INT__p_s_l_s += 135;
                            PRIM_PTR_INT__p_s_m_s += 165;
                            PRIM_PTR_INT__p_s_n_s += 198;
                            PRIM_PTR_INT__p_s_o_s += 234;
                            PRIM_PTR_INT__p_s_q_s += 273;
                            PRIM_PTR_INT__p_s_r_s += 315;
                            PRIM_PTR_INT__p_s_t_s += 360;
                            PRIM_PTR_INT__d_s_k_s += 216;
                            PRIM_PTR_INT__d_s_l_s += 270;
                            PRIM_PTR_INT__d_s_m_s += 330;
                            PRIM_PTR_INT__d_s_n_s += 396;
                            PRIM_PTR_INT__d_s_o_s += 468;
                            PRIM_PTR_INT__d_s_q_s += 546;
                            PRIM_PTR_INT__d_s_r_s += 630;
                            PRIM_PTR_INT__d_s_t_s += 720;
                        }
                        iprimcd++;
                        for(n = 1; n < SIMINT_SIMD_LEN; ++n)
                        {
                            if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
                            {
                                shelloffsets[n] = shelloffsets[n-1] + 1;
                                lastoffset++;
                                nprim_icd += Q.nprim12[cd + (++icd)];
                            }
                            else
                                shelloffsets[n] = shelloffsets[n-1];
                            iprimcd++;
                        }
                    }
                    else
                        iprimcd += SIMINT_SIMD_LEN;

                    // Do we have to compute this vector (or has it been screened out)?
                    // (not_screened != 0 means we have to do this vector)
                    if(check_screen)
                    {
                        const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
                        if(vmax < screen_tol)
                        {
                            PRIM_PTR_INT__p_s_k_s += lastoffset*108;
                            PRIM_PTR_INT__p_s_l_s += lastoffset*135;
                            PRIM_PTR_INT__p_s_m_s += lastoffset*165;
                            PRIM_PTR_INT__p_s_n_s += lastoffset*198;
                            PRIM_PTR_INT__p_s_o_s += lastoffset*234;
                            PRIM_PTR_INT__p_s_q_s += lastoffset*273;
                            PRIM_PTR_INT__p_s_r_s += lastoffset*315;
                            PRIM_PTR_INT__p_s_t_s += lastoffset*360;
                            PRIM_PTR_INT__d_s_k_s += lastoffset*216;
                            PRIM_PTR_INT__d_s_l_s += lastoffset*270;
                            PRIM_PTR_INT__d_s_m_s += lastoffset*330;
                            PRIM_PTR_INT__d_s_n_s += lastoffset*396;
                            PRIM_PTR_INT__d_s_o_s += lastoffset*468;
                            PRIM_PTR_INT__d_s_q_s += lastoffset*546;
                            PRIM_PTR_INT__d_s_r_s += lastoffset*630;
                            PRIM_PTR_INT__d_s_t_s += lastoffset*720;
                            continue;
                        }
                    }

                    const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
                    const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
                    const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
                    const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);


                    /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
                    SIMINT_DBLTYPE PQ[3];
                    PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
                    PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
                    PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
                    SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
                    R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
                    R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);

                    const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
                    const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
                    const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
                    const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
                    const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
                    const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
                    const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };

                    // NOTE: Minus sign!
                    const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
                    SIMINT_DBLTYPE aop_PQ[3];
                    aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
                    aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
                    aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);

                    SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
                    SIMINT_DBLTYPE aoq_PQ[3];
                    aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
                    aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
                    aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
                    // Put a minus sign here so we don't have to in RR routines
                    a_over_q = SIMINT_NEG(a_over_q);


                    //////////////////////////////////////////////
                    // Fjt function section
                    // Maximum v value: 16
                    //////////////////////////////////////////////
                    // The parameter to the Fjt function
                    const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);


                    const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);


                    boys_F_split(PRIM_INT__s_s_s_s, F_x, 16);
                    SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
                    prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
                    for(n = 0; n <= 16; n++)
                        PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);

                    //////////////////////////////////////////////
                    // Primitive integrals: Vertical recurrance
                    //////////////////////////////////////////////

                    const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
                    const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
                    const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_8_over_2q = SIMINT_MUL(const_8, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_9_over_2q = SIMINT_MUL(const_9, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_10_over_2q = SIMINT_MUL(const_10, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_11_over_2q = SIMINT_MUL(const_11, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_12_over_2q = SIMINT_MUL(const_12, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_13_over_2q = SIMINT_MUL(const_13, one_over_2q);
                    const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
                    const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_12_over_2pq = SIMINT_MUL(const_12, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_13_over_2pq = SIMINT_MUL(const_13, one_over_2pq);
                    const SIMINT_DBLTYPE vrr_const_14_over_2pq = SIMINT_MUL(const_14, one_over_2pq);



                    // Forming PRIM_INT__s_s_p_s[16 * 3];
                    for(n = 0; n < 16; ++n)  // loop over orders of auxiliary function
                    {

                        PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
                        PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]);

                        PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
                        PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 1]);

                        PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
                        PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 2]);

                    }



                    // Forming PRIM_INT__s_s_d_s[15 * 6];
                    for(n = 0; n < 15; ++n)  // loop over orders of auxiliary function
                    {

                        PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
                        PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 0]);
                        PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 0]);

                        PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
                        PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_d_s[n * 6 + 3]);
                        PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 3]);

                        PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
                        PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_d_s[n * 6 + 5]);
                        PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 5]);

                    }



                    // Forming PRIM_INT__s_s_f_s[14 * 10];
                    for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
                    {

                        PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
                        PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 0]);
                        PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__s_s_f_s[n * 10 + 0]);

                        PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
                        PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 1]);

                        PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
                        PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 2]);

                        PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
                        PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 6]);
                        PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__s_s_f_s[n * 10 + 6]);

                        PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
                        PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 7]);

                        PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
                        PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 9]);
                        PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__s_s_f_s[n * 10 + 9]);

                    }


                    VRR_K_s_s_g_s(
                            PRIM_INT__s_s_g_s,
                            PRIM_INT__s_s_f_s,
                            PRIM_INT__s_s_d_s,
                            Q_PA,
                            a_over_q,
                            aoq_PQ,
                            one_over_2q,
                            13);


                    VRR_K_s_s_h_s(
                            PRIM_INT__s_s_h_s,
                            PRIM_INT__s_s_g_s,
                            PRIM_INT__s_s_f_s,
                            Q_PA,
                            a_over_q,
                            aoq_PQ,
                            one_over_2q,
                            12);


                    ostei_general_vrr1_K(6, 11,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_h_s, PRIM_INT__s_s_g_s, PRIM_INT__s_s_i_s);


                    ostei_general_vrr1_K(7, 10,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_i_s, PRIM_INT__s_s_h_s, PRIM_INT__s_s_k_s);


                    ostei_general_vrr_I(1, 0, 7, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_k_s, NULL, NULL, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_k_s);


                    ostei_general_vrr1_K(8, 9,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_k_s, PRIM_INT__s_s_i_s, PRIM_INT__s_s_l_s);


                    ostei_general_vrr_I(1, 0, 8, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_l_s, NULL, NULL, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_l_s);


                    ostei_general_vrr_I(1, 0, 6, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_i_s, NULL, NULL, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_i_s);


                    ostei_general_vrr_I(2, 0, 7, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_k_s, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_i_s, NULL, PRIM_INT__d_s_k_s);


                    ostei_general_vrr1_K(9, 8,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_l_s, PRIM_INT__s_s_k_s, PRIM_INT__s_s_m_s);


                    ostei_general_vrr_I(1, 0, 9, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_m_s, NULL, NULL, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_m_s);


                    ostei_general_vrr_I(2, 0, 8, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_l_s, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_k_s, NULL, PRIM_INT__d_s_l_s);


                    ostei_general_vrr1_K(10, 7,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_m_s, PRIM_INT__s_s_l_s, PRIM_INT__s_s_n_s);


                    ostei_general_vrr_I(1, 0, 10, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_n_s, NULL, NULL, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_n_s);


                    ostei_general_vrr_I(2, 0, 9, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_m_s, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_l_s, NULL, PRIM_INT__d_s_m_s);


                    ostei_general_vrr1_K(11, 6,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_n_s, PRIM_INT__s_s_m_s, PRIM_INT__s_s_o_s);


                    ostei_general_vrr_I(1, 0, 11, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_o_s, NULL, NULL, PRIM_INT__s_s_n_s, NULL, PRIM_INT__p_s_o_s);


                    ostei_general_vrr_I(2, 0, 10, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_n_s, PRIM_INT__s_s_n_s, NULL, PRIM_INT__p_s_m_s, NULL, PRIM_INT__d_s_n_s);


                    ostei_general_vrr1_K(12, 5,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_o_s, PRIM_INT__s_s_n_s, PRIM_INT__s_s_q_s);


                    ostei_general_vrr_I(1, 0, 12, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_q_s, NULL, NULL, PRIM_INT__s_s_o_s, NULL, PRIM_INT__p_s_q_s);


                    ostei_general_vrr_I(2, 0, 11, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_o_s, PRIM_INT__s_s_o_s, NULL, PRIM_INT__p_s_n_s, NULL, PRIM_INT__d_s_o_s);


                    ostei_general_vrr1_K(13, 4,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_q_s, PRIM_INT__s_s_o_s, PRIM_INT__s_s_r_s);


                    ostei_general_vrr_I(1, 0, 13, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_r_s, NULL, NULL, PRIM_INT__s_s_q_s, NULL, PRIM_INT__p_s_r_s);


                    ostei_general_vrr_I(2, 0, 12, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_q_s, PRIM_INT__s_s_q_s, NULL, PRIM_INT__p_s_o_s, NULL, PRIM_INT__d_s_q_s);


                    ostei_general_vrr1_K(14, 3,
                            one_over_2q, a_over_q, aoq_PQ, Q_PA,
                            PRIM_INT__s_s_r_s, PRIM_INT__s_s_q_s, PRIM_INT__s_s_t_s);


                    ostei_general_vrr_I(1, 0, 14, 0, 2,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__s_s_t_s, NULL, NULL, PRIM_INT__s_s_r_s, NULL, PRIM_INT__p_s_t_s);


                    ostei_general_vrr_I(2, 0, 13, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_r_s, PRIM_INT__s_s_r_s, NULL, PRIM_INT__p_s_q_s, NULL, PRIM_INT__d_s_r_s);


                    ostei_general_vrr_I(2, 0, 14, 0, 1,
                            one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
                            PRIM_INT__p_s_t_s, PRIM_INT__s_s_t_s, NULL, PRIM_INT__p_s_r_s, NULL, PRIM_INT__d_s_t_s);




                    ////////////////////////////////////
                    // Accumulate contracted integrals
                    ////////////////////////////////////
                    if(lastoffset == 0)
                    {
                        contract_all(108, PRIM_INT__p_s_k_s, PRIM_PTR_INT__p_s_k_s);
                        contract_all(135, PRIM_INT__p_s_l_s, PRIM_PTR_INT__p_s_l_s);
                        contract_all(165, PRIM_INT__p_s_m_s, PRIM_PTR_INT__p_s_m_s);
                        contract_all(198, PRIM_INT__p_s_n_s, PRIM_PTR_INT__p_s_n_s);
                        contract_all(234, PRIM_INT__p_s_o_s, PRIM_PTR_INT__p_s_o_s);
                        contract_all(273, PRIM_INT__p_s_q_s, PRIM_PTR_INT__p_s_q_s);
                        contract_all(315, PRIM_INT__p_s_r_s, PRIM_PTR_INT__p_s_r_s);
                        contract_all(360, PRIM_INT__p_s_t_s, PRIM_PTR_INT__p_s_t_s);
                        contract_all(216, PRIM_INT__d_s_k_s, PRIM_PTR_INT__d_s_k_s);
                        contract_all(270, PRIM_INT__d_s_l_s, PRIM_PTR_INT__d_s_l_s);
                        contract_all(330, PRIM_INT__d_s_m_s, PRIM_PTR_INT__d_s_m_s);
                        contract_all(396, PRIM_INT__d_s_n_s, PRIM_PTR_INT__d_s_n_s);
                        contract_all(468, PRIM_INT__d_s_o_s, PRIM_PTR_INT__d_s_o_s);
                        contract_all(546, PRIM_INT__d_s_q_s, PRIM_PTR_INT__d_s_q_s);
                        contract_all(630, PRIM_INT__d_s_r_s, PRIM_PTR_INT__d_s_r_s);
                        contract_all(720, PRIM_INT__d_s_t_s, PRIM_PTR_INT__d_s_t_s);
                    }
                    else
                    {
                        contract(108, shelloffsets, PRIM_INT__p_s_k_s, PRIM_PTR_INT__p_s_k_s);
                        contract(135, shelloffsets, PRIM_INT__p_s_l_s, PRIM_PTR_INT__p_s_l_s);
                        contract(165, shelloffsets, PRIM_INT__p_s_m_s, PRIM_PTR_INT__p_s_m_s);
                        contract(198, shelloffsets, PRIM_INT__p_s_n_s, PRIM_PTR_INT__p_s_n_s);
                        contract(234, shelloffsets, PRIM_INT__p_s_o_s, PRIM_PTR_INT__p_s_o_s);
                        contract(273, shelloffsets, PRIM_INT__p_s_q_s, PRIM_PTR_INT__p_s_q_s);
                        contract(315, shelloffsets, PRIM_INT__p_s_r_s, PRIM_PTR_INT__p_s_r_s);
                        contract(360, shelloffsets, PRIM_INT__p_s_t_s, PRIM_PTR_INT__p_s_t_s);
                        contract(216, shelloffsets, PRIM_INT__d_s_k_s, PRIM_PTR_INT__d_s_k_s);
                        contract(270, shelloffsets, PRIM_INT__d_s_l_s, PRIM_PTR_INT__d_s_l_s);
                        contract(330, shelloffsets, PRIM_INT__d_s_m_s, PRIM_PTR_INT__d_s_m_s);
                        contract(396, shelloffsets, PRIM_INT__d_s_n_s, PRIM_PTR_INT__d_s_n_s);
                        contract(468, shelloffsets, PRIM_INT__d_s_o_s, PRIM_PTR_INT__d_s_o_s);
                        contract(546, shelloffsets, PRIM_INT__d_s_q_s, PRIM_PTR_INT__d_s_q_s);
                        contract(630, shelloffsets, PRIM_INT__d_s_r_s, PRIM_PTR_INT__d_s_r_s);
                        contract(720, shelloffsets, PRIM_INT__d_s_t_s, PRIM_PTR_INT__d_s_t_s);
                        PRIM_PTR_INT__p_s_k_s += lastoffset*108;
                        PRIM_PTR_INT__p_s_l_s += lastoffset*135;
                        PRIM_PTR_INT__p_s_m_s += lastoffset*165;
                        PRIM_PTR_INT__p_s_n_s += lastoffset*198;
                        PRIM_PTR_INT__p_s_o_s += lastoffset*234;
                        PRIM_PTR_INT__p_s_q_s += lastoffset*273;
                        PRIM_PTR_INT__p_s_r_s += lastoffset*315;
                        PRIM_PTR_INT__p_s_t_s += lastoffset*360;
                        PRIM_PTR_INT__d_s_k_s += lastoffset*216;
                        PRIM_PTR_INT__d_s_l_s += lastoffset*270;
                        PRIM_PTR_INT__d_s_m_s += lastoffset*330;
                        PRIM_PTR_INT__d_s_n_s += lastoffset*396;
                        PRIM_PTR_INT__d_s_o_s += lastoffset*468;
                        PRIM_PTR_INT__d_s_q_s += lastoffset*546;
                        PRIM_PTR_INT__d_s_r_s += lastoffset*630;
                        PRIM_PTR_INT__d_s_t_s += lastoffset*720;
                    }

                }  // close loop over j
            }  // close loop over i
            
            //Advance to the next batch
            jstart = SIMINT_SIMD_ROUND(jend);
            
            //////////////////////////////////////////////
            // Contracted integrals: Horizontal recurrance
            //////////////////////////////////////////////


            const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };


            for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
            {
                const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };

                // set up HRR pointers
                double const * restrict HRR_INT__p_s_k_s = INT__p_s_k_s + abcd * 108;
                double const * restrict HRR_INT__p_s_l_s = INT__p_s_l_s + abcd * 135;
                double const * restrict HRR_INT__p_s_m_s = INT__p_s_m_s + abcd * 165;
                double const * restrict HRR_INT__p_s_n_s = INT__p_s_n_s + abcd * 198;
                double const * restrict HRR_INT__p_s_o_s = INT__p_s_o_s + abcd * 234;
                double const * restrict HRR_INT__p_s_q_s = INT__p_s_q_s + abcd * 273;
                double const * restrict HRR_INT__p_s_r_s = INT__p_s_r_s + abcd * 315;
                double const * restrict HRR_INT__p_s_t_s = INT__p_s_t_s + abcd * 360;
                double const * restrict HRR_INT__d_s_k_s = INT__d_s_k_s + abcd * 216;
                double const * restrict HRR_INT__d_s_l_s = INT__d_s_l_s + abcd * 270;
                double const * restrict HRR_INT__d_s_m_s = INT__d_s_m_s + abcd * 330;
                double const * restrict HRR_INT__d_s_n_s = INT__d_s_n_s + abcd * 396;
                double const * restrict HRR_INT__d_s_o_s = INT__d_s_o_s + abcd * 468;
                double const * restrict HRR_INT__d_s_q_s = INT__d_s_q_s + abcd * 546;
                double const * restrict HRR_INT__d_s_r_s = INT__d_s_r_s + abcd * 630;
                double const * restrict HRR_INT__d_s_t_s = INT__d_s_t_s + abcd * 720;
                double * restrict HRR_INT__p_p_k_k = INT__p_p_k_k + real_abcd * 11664;

                // form INT__p_p_k_s
                for(iket = 0; iket < 36; ++iket)
                {
                    HRR_INT__p_p_k_s[0 * 36 + iket] = HRR_INT__d_s_k_s[0 * 36 + iket] + ( hAB[0] * HRR_INT__p_s_k_s[0 * 36 + iket] );

                    HRR_INT__p_p_k_s[1 * 36 + iket] = HRR_INT__d_s_k_s[1 * 36 + iket] + ( hAB[1] * HRR_INT__p_s_k_s[0 * 36 + iket] );

                    HRR_INT__p_p_k_s[2 * 36 + iket] = HRR_INT__d_s_k_s[2 * 36 + iket] + ( hAB[2] * HRR_INT__p_s_k_s[0 * 36 + iket] );

                    HRR_INT__p_p_k_s[3 * 36 + iket] = HRR_INT__d_s_k_s[1 * 36 + iket] + ( hAB[0] * HRR_INT__p_s_k_s[1 * 36 + iket] );

                    HRR_INT__p_p_k_s[4 * 36 + iket] = HRR_INT__d_s_k_s[3 * 36 + iket] + ( hAB[1] * HRR_INT__p_s_k_s[1 * 36 + iket] );

                    HRR_INT__p_p_k_s[5 * 36 + iket] = HRR_INT__d_s_k_s[4 * 36 + iket] + ( hAB[2] * HRR_INT__p_s_k_s[1 * 36 + iket] );

                    HRR_INT__p_p_k_s[6 * 36 + iket] = HRR_INT__d_s_k_s[2 * 36 + iket] + ( hAB[0] * HRR_INT__p_s_k_s[2 * 36 + iket] );

                    HRR_INT__p_p_k_s[7 * 36 + iket] = HRR_INT__d_s_k_s[4 * 36 + iket] + ( hAB[1] * HRR_INT__p_s_k_s[2 * 36 + iket] );

                    HRR_INT__p_p_k_s[8 * 36 + iket] = HRR_INT__d_s_k_s[5 * 36 + iket] + ( hAB[2] * HRR_INT__p_s_k_s[2 * 36 + iket] );

                }


                // form INT__p_p_l_s
                for(iket = 0; iket < 45; ++iket)
                {
                    HRR_INT__p_p_l_s[0 * 45 + iket] = HRR_INT__d_s_l_s[0 * 45 + iket] + ( hAB[0] * HRR_INT__p_s_l_s[0 * 45 + iket] );

                    HRR_INT__p_p_l_s[1 * 45 + iket] = HRR_INT__d_s_l_s[1 * 45 + iket] + ( hAB[1] * HRR_INT__p_s_l_s[0 * 45 + iket] );

                    HRR_INT__p_p_l_s[2 * 45 + iket] = HRR_INT__d_s_l_s[2 * 45 + iket] + ( hAB[2] * HRR_INT__p_s_l_s[0 * 45 + iket] );

                    HRR_INT__p_p_l_s[3 * 45 + iket] = HRR_INT__d_s_l_s[1 * 45 + iket] + ( hAB[0] * HRR_INT__p_s_l_s[1 * 45 + iket] );

                    HRR_INT__p_p_l_s[4 * 45 + iket] = HRR_INT__d_s_l_s[3 * 45 + iket] + ( hAB[1] * HRR_INT__p_s_l_s[1 * 45 + iket] );

                    HRR_INT__p_p_l_s[5 * 45 + iket] = HRR_INT__d_s_l_s[4 * 45 + iket] + ( hAB[2] * HRR_INT__p_s_l_s[1 * 45 + iket] );

                    HRR_INT__p_p_l_s[6 * 45 + iket] = HRR_INT__d_s_l_s[2 * 45 + iket] + ( hAB[0] * HRR_INT__p_s_l_s[2 * 45 + iket] );

                    HRR_INT__p_p_l_s[7 * 45 + iket] = HRR_INT__d_s_l_s[4 * 45 + iket] + ( hAB[1] * HRR_INT__p_s_l_s[2 * 45 + iket] );

                    HRR_INT__p_p_l_s[8 * 45 + iket] = HRR_INT__d_s_l_s[5 * 45 + iket] + ( hAB[2] * HRR_INT__p_s_l_s[2 * 45 + iket] );

                }


                // form INT__p_p_m_s
                for(iket = 0; iket < 55; ++iket)
                {
                    HRR_INT__p_p_m_s[0 * 55 + iket] = HRR_INT__d_s_m_s[0 * 55 + iket] + ( hAB[0] * HRR_INT__p_s_m_s[0 * 55 + iket] );

                    HRR_INT__p_p_m_s[1 * 55 + iket] = HRR_INT__d_s_m_s[1 * 55 + iket] + ( hAB[1] * HRR_INT__p_s_m_s[0 * 55 + iket] );

                    HRR_INT__p_p_m_s[2 * 55 + iket] = HRR_INT__d_s_m_s[2 * 55 + iket] + ( hAB[2] * HRR_INT__p_s_m_s[0 * 55 + iket] );

                    HRR_INT__p_p_m_s[3 * 55 + iket] = HRR_INT__d_s_m_s[1 * 55 + iket] + ( hAB[0] * HRR_INT__p_s_m_s[1 * 55 + iket] );

                    HRR_INT__p_p_m_s[4 * 55 + iket] = HRR_INT__d_s_m_s[3 * 55 + iket] + ( hAB[1] * HRR_INT__p_s_m_s[1 * 55 + iket] );

                    HRR_INT__p_p_m_s[5 * 55 + iket] = HRR_INT__d_s_m_s[4 * 55 + iket] + ( hAB[2] * HRR_INT__p_s_m_s[1 * 55 + iket] );

                    HRR_INT__p_p_m_s[6 * 55 + iket] = HRR_INT__d_s_m_s[2 * 55 + iket] + ( hAB[0] * HRR_INT__p_s_m_s[2 * 55 + iket] );

                    HRR_INT__p_p_m_s[7 * 55 + iket] = HRR_INT__d_s_m_s[4 * 55 + iket] + ( hAB[1] * HRR_INT__p_s_m_s[2 * 55 + iket] );

                    HRR_INT__p_p_m_s[8 * 55 + iket] = HRR_INT__d_s_m_s[5 * 55 + iket] + ( hAB[2] * HRR_INT__p_s_m_s[2 * 55 + iket] );

                }


                // form INT__p_p_n_s
                for(iket = 0; iket < 66; ++iket)
                {
                    HRR_INT__p_p_n_s[0 * 66 + iket] = HRR_INT__d_s_n_s[0 * 66 + iket] + ( hAB[0] * HRR_INT__p_s_n_s[0 * 66 + iket] );

                    HRR_INT__p_p_n_s[1 * 66 + iket] = HRR_INT__d_s_n_s[1 * 66 + iket] + ( hAB[1] * HRR_INT__p_s_n_s[0 * 66 + iket] );

                    HRR_INT__p_p_n_s[2 * 66 + iket] = HRR_INT__d_s_n_s[2 * 66 + iket] + ( hAB[2] * HRR_INT__p_s_n_s[0 * 66 + iket] );

                    HRR_INT__p_p_n_s[3 * 66 + iket] = HRR_INT__d_s_n_s[1 * 66 + iket] + ( hAB[0] * HRR_INT__p_s_n_s[1 * 66 + iket] );

                    HRR_INT__p_p_n_s[4 * 66 + iket] = HRR_INT__d_s_n_s[3 * 66 + iket] + ( hAB[1] * HRR_INT__p_s_n_s[1 * 66 + iket] );

                    HRR_INT__p_p_n_s[5 * 66 + iket] = HRR_INT__d_s_n_s[4 * 66 + iket] + ( hAB[2] * HRR_INT__p_s_n_s[1 * 66 + iket] );

                    HRR_INT__p_p_n_s[6 * 66 + iket] = HRR_INT__d_s_n_s[2 * 66 + iket] + ( hAB[0] * HRR_INT__p_s_n_s[2 * 66 + iket] );

                    HRR_INT__p_p_n_s[7 * 66 + iket] = HRR_INT__d_s_n_s[4 * 66 + iket] + ( hAB[1] * HRR_INT__p_s_n_s[2 * 66 + iket] );

                    HRR_INT__p_p_n_s[8 * 66 + iket] = HRR_INT__d_s_n_s[5 * 66 + iket] + ( hAB[2] * HRR_INT__p_s_n_s[2 * 66 + iket] );

                }


                // form INT__p_p_o_s
                for(iket = 0; iket < 78; ++iket)
                {
                    HRR_INT__p_p_o_s[0 * 78 + iket] = HRR_INT__d_s_o_s[0 * 78 + iket] + ( hAB[0] * HRR_INT__p_s_o_s[0 * 78 + iket] );

                    HRR_INT__p_p_o_s[1 * 78 + iket] = HRR_INT__d_s_o_s[1 * 78 + iket] + ( hAB[1] * HRR_INT__p_s_o_s[0 * 78 + iket] );

                    HRR_INT__p_p_o_s[2 * 78 + iket] = HRR_INT__d_s_o_s[2 * 78 + iket] + ( hAB[2] * HRR_INT__p_s_o_s[0 * 78 + iket] );

                    HRR_INT__p_p_o_s[3 * 78 + iket] = HRR_INT__d_s_o_s[1 * 78 + iket] + ( hAB[0] * HRR_INT__p_s_o_s[1 * 78 + iket] );

                    HRR_INT__p_p_o_s[4 * 78 + iket] = HRR_INT__d_s_o_s[3 * 78 + iket] + ( hAB[1] * HRR_INT__p_s_o_s[1 * 78 + iket] );

                    HRR_INT__p_p_o_s[5 * 78 + iket] = HRR_INT__d_s_o_s[4 * 78 + iket] + ( hAB[2] * HRR_INT__p_s_o_s[1 * 78 + iket] );

                    HRR_INT__p_p_o_s[6 * 78 + iket] = HRR_INT__d_s_o_s[2 * 78 + iket] + ( hAB[0] * HRR_INT__p_s_o_s[2 * 78 + iket] );

                    HRR_INT__p_p_o_s[7 * 78 + iket] = HRR_INT__d_s_o_s[4 * 78 + iket] + ( hAB[1] * HRR_INT__p_s_o_s[2 * 78 + iket] );

                    HRR_INT__p_p_o_s[8 * 78 + iket] = HRR_INT__d_s_o_s[5 * 78 + iket] + ( hAB[2] * HRR_INT__p_s_o_s[2 * 78 + iket] );

                }


                // form INT__p_p_q_s
                for(iket = 0; iket < 91; ++iket)
                {
                    HRR_INT__p_p_q_s[0 * 91 + iket] = HRR_INT__d_s_q_s[0 * 91 + iket] + ( hAB[0] * HRR_INT__p_s_q_s[0 * 91 + iket] );

                    HRR_INT__p_p_q_s[1 * 91 + iket] = HRR_INT__d_s_q_s[1 * 91 + iket] + ( hAB[1] * HRR_INT__p_s_q_s[0 * 91 + iket] );

                    HRR_INT__p_p_q_s[2 * 91 + iket] = HRR_INT__d_s_q_s[2 * 91 + iket] + ( hAB[2] * HRR_INT__p_s_q_s[0 * 91 + iket] );

                    HRR_INT__p_p_q_s[3 * 91 + iket] = HRR_INT__d_s_q_s[1 * 91 + iket] + ( hAB[0] * HRR_INT__p_s_q_s[1 * 91 + iket] );

                    HRR_INT__p_p_q_s[4 * 91 + iket] = HRR_INT__d_s_q_s[3 * 91 + iket] + ( hAB[1] * HRR_INT__p_s_q_s[1 * 91 + iket] );

                    HRR_INT__p_p_q_s[5 * 91 + iket] = HRR_INT__d_s_q_s[4 * 91 + iket] + ( hAB[2] * HRR_INT__p_s_q_s[1 * 91 + iket] );

                    HRR_INT__p_p_q_s[6 * 91 + iket] = HRR_INT__d_s_q_s[2 * 91 + iket] + ( hAB[0] * HRR_INT__p_s_q_s[2 * 91 + iket] );

                    HRR_INT__p_p_q_s[7 * 91 + iket] = HRR_INT__d_s_q_s[4 * 91 + iket] + ( hAB[1] * HRR_INT__p_s_q_s[2 * 91 + iket] );

                    HRR_INT__p_p_q_s[8 * 91 + iket] = HRR_INT__d_s_q_s[5 * 91 + iket] + ( hAB[2] * HRR_INT__p_s_q_s[2 * 91 + iket] );

                }


                // form INT__p_p_r_s
                for(iket = 0; iket < 105; ++iket)
                {
                    HRR_INT__p_p_r_s[0 * 105 + iket] = HRR_INT__d_s_r_s[0 * 105 + iket] + ( hAB[0] * HRR_INT__p_s_r_s[0 * 105 + iket] );

                    HRR_INT__p_p_r_s[1 * 105 + iket] = HRR_INT__d_s_r_s[1 * 105 + iket] + ( hAB[1] * HRR_INT__p_s_r_s[0 * 105 + iket] );

                    HRR_INT__p_p_r_s[2 * 105 + iket] = HRR_INT__d_s_r_s[2 * 105 + iket] + ( hAB[2] * HRR_INT__p_s_r_s[0 * 105 + iket] );

                    HRR_INT__p_p_r_s[3 * 105 + iket] = HRR_INT__d_s_r_s[1 * 105 + iket] + ( hAB[0] * HRR_INT__p_s_r_s[1 * 105 + iket] );

                    HRR_INT__p_p_r_s[4 * 105 + iket] = HRR_INT__d_s_r_s[3 * 105 + iket] + ( hAB[1] * HRR_INT__p_s_r_s[1 * 105 + iket] );

                    HRR_INT__p_p_r_s[5 * 105 + iket] = HRR_INT__d_s_r_s[4 * 105 + iket] + ( hAB[2] * HRR_INT__p_s_r_s[1 * 105 + iket] );

                    HRR_INT__p_p_r_s[6 * 105 + iket] = HRR_INT__d_s_r_s[2 * 105 + iket] + ( hAB[0] * HRR_INT__p_s_r_s[2 * 105 + iket] );

                    HRR_INT__p_p_r_s[7 * 105 + iket] = HRR_INT__d_s_r_s[4 * 105 + iket] + ( hAB[1] * HRR_INT__p_s_r_s[2 * 105 + iket] );

                    HRR_INT__p_p_r_s[8 * 105 + iket] = HRR_INT__d_s_r_s[5 * 105 + iket] + ( hAB[2] * HRR_INT__p_s_r_s[2 * 105 + iket] );

                }


                // form INT__p_p_t_s
                for(iket = 0; iket < 120; ++iket)
                {
                    HRR_INT__p_p_t_s[0 * 120 + iket] = HRR_INT__d_s_t_s[0 * 120 + iket] + ( hAB[0] * HRR_INT__p_s_t_s[0 * 120 + iket] );

                    HRR_INT__p_p_t_s[1 * 120 + iket] = HRR_INT__d_s_t_s[1 * 120 + iket] + ( hAB[1] * HRR_INT__p_s_t_s[0 * 120 + iket] );

                    HRR_INT__p_p_t_s[2 * 120 + iket] = HRR_INT__d_s_t_s[2 * 120 + iket] + ( hAB[2] * HRR_INT__p_s_t_s[0 * 120 + iket] );

                    HRR_INT__p_p_t_s[3 * 120 + iket] = HRR_INT__d_s_t_s[1 * 120 + iket] + ( hAB[0] * HRR_INT__p_s_t_s[1 * 120 + iket] );

                    HRR_INT__p_p_t_s[4 * 120 + iket] = HRR_INT__d_s_t_s[3 * 120 + iket] + ( hAB[1] * HRR_INT__p_s_t_s[1 * 120 + iket] );

                    HRR_INT__p_p_t_s[5 * 120 + iket] = HRR_INT__d_s_t_s[4 * 120 + iket] + ( hAB[2] * HRR_INT__p_s_t_s[1 * 120 + iket] );

                    HRR_INT__p_p_t_s[6 * 120 + iket] = HRR_INT__d_s_t_s[2 * 120 + iket] + ( hAB[0] * HRR_INT__p_s_t_s[2 * 120 + iket] );

                    HRR_INT__p_p_t_s[7 * 120 + iket] = HRR_INT__d_s_t_s[4 * 120 + iket] + ( hAB[1] * HRR_INT__p_s_t_s[2 * 120 + iket] );

                    HRR_INT__p_p_t_s[8 * 120 + iket] = HRR_INT__d_s_t_s[5 * 120 + iket] + ( hAB[2] * HRR_INT__p_s_t_s[2 * 120 + iket] );

                }


                // form INT__p_p_k_p
                ostei_general_hrr_L(1, 1, 7, 1, hCD, HRR_INT__p_p_l_s, HRR_INT__p_p_k_s, HRR_INT__p_p_k_p);

                // form INT__p_p_l_p
                ostei_general_hrr_L(1, 1, 8, 1, hCD, HRR_INT__p_p_m_s, HRR_INT__p_p_l_s, HRR_INT__p_p_l_p);

                // form INT__p_p_m_p
                ostei_general_hrr_L(1, 1, 9, 1, hCD, HRR_INT__p_p_n_s, HRR_INT__p_p_m_s, HRR_INT__p_p_m_p);

                // form INT__p_p_n_p
                ostei_general_hrr_L(1, 1, 10, 1, hCD, HRR_INT__p_p_o_s, HRR_INT__p_p_n_s, HRR_INT__p_p_n_p);

                // form INT__p_p_o_p
                ostei_general_hrr_L(1, 1, 11, 1, hCD, HRR_INT__p_p_q_s, HRR_INT__p_p_o_s, HRR_INT__p_p_o_p);

                // form INT__p_p_q_p
                ostei_general_hrr_L(1, 1, 12, 1, hCD, HRR_INT__p_p_r_s, HRR_INT__p_p_q_s, HRR_INT__p_p_q_p);

                // form INT__p_p_r_p
                ostei_general_hrr_L(1, 1, 13, 1, hCD, HRR_INT__p_p_t_s, HRR_INT__p_p_r_s, HRR_INT__p_p_r_p);

                // form INT__p_p_k_d
                ostei_general_hrr_L(1, 1, 7, 2, hCD, HRR_INT__p_p_l_p, HRR_INT__p_p_k_p, HRR_INT__p_p_k_d);

                // form INT__p_p_l_d
                ostei_general_hrr_L(1, 1, 8, 2, hCD, HRR_INT__p_p_m_p, HRR_INT__p_p_l_p, HRR_INT__p_p_l_d);

                // form INT__p_p_m_d
                ostei_general_hrr_L(1, 1, 9, 2, hCD, HRR_INT__p_p_n_p, HRR_INT__p_p_m_p, HRR_INT__p_p_m_d);

                // form INT__p_p_n_d
                ostei_general_hrr_L(1, 1, 10, 2, hCD, HRR_INT__p_p_o_p, HRR_INT__p_p_n_p, HRR_INT__p_p_n_d);

                // form INT__p_p_o_d
                ostei_general_hrr_L(1, 1, 11, 2, hCD, HRR_INT__p_p_q_p, HRR_INT__p_p_o_p, HRR_INT__p_p_o_d);

                // form INT__p_p_q_d
                ostei_general_hrr_L(1, 1, 12, 2, hCD, HRR_INT__p_p_r_p, HRR_INT__p_p_q_p, HRR_INT__p_p_q_d);

                // form INT__p_p_k_f
                ostei_general_hrr_L(1, 1, 7, 3, hCD, HRR_INT__p_p_l_d, HRR_INT__p_p_k_d, HRR_INT__p_p_k_f);

                // form INT__p_p_l_f
                ostei_general_hrr_L(1, 1, 8, 3, hCD, HRR_INT__p_p_m_d, HRR_INT__p_p_l_d, HRR_INT__p_p_l_f);

                // form INT__p_p_m_f
                ostei_general_hrr_L(1, 1, 9, 3, hCD, HRR_INT__p_p_n_d, HRR_INT__p_p_m_d, HRR_INT__p_p_m_f);

                // form INT__p_p_n_f
                ostei_general_hrr_L(1, 1, 10, 3, hCD, HRR_INT__p_p_o_d, HRR_INT__p_p_n_d, HRR_INT__p_p_n_f);

                // form INT__p_p_o_f
                ostei_general_hrr_L(1, 1, 11, 3, hCD, HRR_INT__p_p_q_d, HRR_INT__p_p_o_d, HRR_INT__p_p_o_f);

                // form INT__p_p_k_g
                ostei_general_hrr_L(1, 1, 7, 4, hCD, HRR_INT__p_p_l_f, HRR_INT__p_p_k_f, HRR_INT__p_p_k_g);

                // form INT__p_p_l_g
                ostei_general_hrr_L(1, 1, 8, 4, hCD, HRR_INT__p_p_m_f, HRR_INT__p_p_l_f, HRR_INT__p_p_l_g);

                // form INT__p_p_m_g
                ostei_general_hrr_L(1, 1, 9, 4, hCD, HRR_INT__p_p_n_f, HRR_INT__p_p_m_f, HRR_INT__p_p_m_g);

                // form INT__p_p_n_g
                ostei_general_hrr_L(1, 1, 10, 4, hCD, HRR_INT__p_p_o_f, HRR_INT__p_p_n_f, HRR_INT__p_p_n_g);

                // form INT__p_p_k_h
                ostei_general_hrr_L(1, 1, 7, 5, hCD, HRR_INT__p_p_l_g, HRR_INT__p_p_k_g, HRR_INT__p_p_k_h);

                // form INT__p_p_l_h
                ostei_general_hrr_L(1, 1, 8, 5, hCD, HRR_INT__p_p_m_g, HRR_INT__p_p_l_g, HRR_INT__p_p_l_h);

                // form INT__p_p_m_h
                ostei_general_hrr_L(1, 1, 9, 5, hCD, HRR_INT__p_p_n_g, HRR_INT__p_p_m_g, HRR_INT__p_p_m_h);

                // form INT__p_p_k_i
                ostei_general_hrr_L(1, 1, 7, 6, hCD, HRR_INT__p_p_l_h, HRR_INT__p_p_k_h, HRR_INT__p_p_k_i);

                // form INT__p_p_l_i
                ostei_general_hrr_L(1, 1, 8, 6, hCD, HRR_INT__p_p_m_h, HRR_INT__p_p_l_h, HRR_INT__p_p_l_i);

                // form INT__p_p_k_k
                ostei_general_hrr_L(1, 1, 7, 7, hCD, HRR_INT__p_p_l_i, HRR_INT__p_p_k_i, HRR_INT__p_p_k_k);


            }  // close HRR loop


        }   // close loop cdbatch

        istart = iend;
    }  // close loop over ab

    return P.nshell12_clip * Q.nshell12_clip;
}

