1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_p_p_h_h(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_h_h)8 int ostei_p_p_h_h(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__p_p_h_h)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__p_p_h_h);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int iket;
26     int ibra;
27 
28     // partition workspace
29     double * const INT__p_s_h_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__p_s_i_s = work + (SIMINT_NSHELL_SIMD * 63);
31     double * const INT__p_s_k_s = work + (SIMINT_NSHELL_SIMD * 147);
32     double * const INT__p_s_l_s = work + (SIMINT_NSHELL_SIMD * 255);
33     double * const INT__p_s_m_s = work + (SIMINT_NSHELL_SIMD * 390);
34     double * const INT__p_s_n_s = work + (SIMINT_NSHELL_SIMD * 555);
35     double * const INT__d_s_h_s = work + (SIMINT_NSHELL_SIMD * 753);
36     double * const INT__d_s_i_s = work + (SIMINT_NSHELL_SIMD * 879);
37     double * const INT__d_s_k_s = work + (SIMINT_NSHELL_SIMD * 1047);
38     double * const INT__d_s_l_s = work + (SIMINT_NSHELL_SIMD * 1263);
39     double * const INT__d_s_m_s = work + (SIMINT_NSHELL_SIMD * 1533);
40     double * const INT__d_s_n_s = work + (SIMINT_NSHELL_SIMD * 1863);
41     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*2259);
42     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 13;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 49;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 115;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 215;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 350;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_i_s = primwork + 518;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_k_s = primwork + 714;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_l_s = primwork + 930;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_m_s = primwork + 1155;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_n_s = primwork + 1375;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 1573;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 1663;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_i_s = primwork + 1789;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_k_s = primwork + 1957;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_l_s = primwork + 2173;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_m_s = primwork + 2443;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_n_s = primwork + 2773;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 3169;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_i_s = primwork + 3295;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_k_s = primwork + 3463;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_l_s = primwork + 3679;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_m_s = primwork + 3949;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_n_s = primwork + 4279;
66     double * const hrrwork = (double *)(primwork + 4675);
67     double * const HRR_INT__p_p_h_s = hrrwork + 0;
68     double * const HRR_INT__p_p_h_p = hrrwork + 189;
69     double * const HRR_INT__p_p_h_d = hrrwork + 756;
70     double * const HRR_INT__p_p_h_f = hrrwork + 1890;
71     double * const HRR_INT__p_p_h_g = hrrwork + 3780;
72     double * const HRR_INT__p_p_i_s = hrrwork + 6615;
73     double * const HRR_INT__p_p_i_p = hrrwork + 6867;
74     double * const HRR_INT__p_p_i_d = hrrwork + 7623;
75     double * const HRR_INT__p_p_i_f = hrrwork + 9135;
76     double * const HRR_INT__p_p_i_g = hrrwork + 11655;
77     double * const HRR_INT__p_p_k_s = hrrwork + 15435;
78     double * const HRR_INT__p_p_k_p = hrrwork + 15759;
79     double * const HRR_INT__p_p_k_d = hrrwork + 16731;
80     double * const HRR_INT__p_p_k_f = hrrwork + 18675;
81     double * const HRR_INT__p_p_l_s = hrrwork + 21915;
82     double * const HRR_INT__p_p_l_p = hrrwork + 22320;
83     double * const HRR_INT__p_p_l_d = hrrwork + 23535;
84     double * const HRR_INT__p_p_m_s = hrrwork + 25965;
85     double * const HRR_INT__p_p_m_p = hrrwork + 26460;
86     double * const HRR_INT__p_p_n_s = hrrwork + 27945;
87 
88 
89     // Create constants
90     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
91     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
92     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
93     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
94     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
95     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
96     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
97     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
98     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
99     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
100     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
101 
102 
103     ////////////////////////////////////////
104     // Loop over shells and primitives
105     ////////////////////////////////////////
106 
107     real_abcd = 0;
108     istart = 0;
109     for(ab = 0; ab < P.nshell12_clip; ++ab)
110     {
111         const int iend = istart + P.nprim12[ab];
112 
113         cd = 0;
114         jstart = 0;
115 
116         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
117         {
118             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
119             int jend = jstart;
120             for(i = 0; i < nshellbatch; i++)
121                 jend += Q.nprim12[cd+i];
122 
123             // Clear the beginning of the workspace (where we are accumulating integrals)
124             memset(work, 0, SIMINT_NSHELL_SIMD * 2259 * sizeof(double));
125             abcd = 0;
126 
127 
128             for(i = istart; i < iend; ++i)
129             {
130                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
131 
132                 if(check_screen)
133                 {
134                     // Skip this whole thing if always insignificant
135                     if((P.screen[i] * Q.screen_max) < screen_tol)
136                         continue;
137                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
138                 }
139 
140                 icd = 0;
141                 iprimcd = 0;
142                 nprim_icd = Q.nprim12[cd];
143                 double * restrict PRIM_PTR_INT__p_s_h_s = INT__p_s_h_s + abcd * 63;
144                 double * restrict PRIM_PTR_INT__p_s_i_s = INT__p_s_i_s + abcd * 84;
145                 double * restrict PRIM_PTR_INT__p_s_k_s = INT__p_s_k_s + abcd * 108;
146                 double * restrict PRIM_PTR_INT__p_s_l_s = INT__p_s_l_s + abcd * 135;
147                 double * restrict PRIM_PTR_INT__p_s_m_s = INT__p_s_m_s + abcd * 165;
148                 double * restrict PRIM_PTR_INT__p_s_n_s = INT__p_s_n_s + abcd * 198;
149                 double * restrict PRIM_PTR_INT__d_s_h_s = INT__d_s_h_s + abcd * 126;
150                 double * restrict PRIM_PTR_INT__d_s_i_s = INT__d_s_i_s + abcd * 168;
151                 double * restrict PRIM_PTR_INT__d_s_k_s = INT__d_s_k_s + abcd * 216;
152                 double * restrict PRIM_PTR_INT__d_s_l_s = INT__d_s_l_s + abcd * 270;
153                 double * restrict PRIM_PTR_INT__d_s_m_s = INT__d_s_m_s + abcd * 330;
154                 double * restrict PRIM_PTR_INT__d_s_n_s = INT__d_s_n_s + abcd * 396;
155 
156 
157 
158                 // Load these one per loop over i
159                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
160                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
161                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
162 
163                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
164 
165                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
166                 {
167                     // calculate the shell offsets
168                     // these are the offset from the shell pointed to by cd
169                     // for each element
170                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
171                     int lastoffset = 0;
172                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
173 
174                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
175                     {
176                         // Handle if the first element of the vector is a new shell
177                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
178                         {
179                             nprim_icd += Q.nprim12[cd + (++icd)];
180                             PRIM_PTR_INT__p_s_h_s += 63;
181                             PRIM_PTR_INT__p_s_i_s += 84;
182                             PRIM_PTR_INT__p_s_k_s += 108;
183                             PRIM_PTR_INT__p_s_l_s += 135;
184                             PRIM_PTR_INT__p_s_m_s += 165;
185                             PRIM_PTR_INT__p_s_n_s += 198;
186                             PRIM_PTR_INT__d_s_h_s += 126;
187                             PRIM_PTR_INT__d_s_i_s += 168;
188                             PRIM_PTR_INT__d_s_k_s += 216;
189                             PRIM_PTR_INT__d_s_l_s += 270;
190                             PRIM_PTR_INT__d_s_m_s += 330;
191                             PRIM_PTR_INT__d_s_n_s += 396;
192                         }
193                         iprimcd++;
194                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
195                         {
196                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
197                             {
198                                 shelloffsets[n] = shelloffsets[n-1] + 1;
199                                 lastoffset++;
200                                 nprim_icd += Q.nprim12[cd + (++icd)];
201                             }
202                             else
203                                 shelloffsets[n] = shelloffsets[n-1];
204                             iprimcd++;
205                         }
206                     }
207                     else
208                         iprimcd += SIMINT_SIMD_LEN;
209 
210                     // Do we have to compute this vector (or has it been screened out)?
211                     // (not_screened != 0 means we have to do this vector)
212                     if(check_screen)
213                     {
214                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
215                         if(vmax < screen_tol)
216                         {
217                             PRIM_PTR_INT__p_s_h_s += lastoffset*63;
218                             PRIM_PTR_INT__p_s_i_s += lastoffset*84;
219                             PRIM_PTR_INT__p_s_k_s += lastoffset*108;
220                             PRIM_PTR_INT__p_s_l_s += lastoffset*135;
221                             PRIM_PTR_INT__p_s_m_s += lastoffset*165;
222                             PRIM_PTR_INT__p_s_n_s += lastoffset*198;
223                             PRIM_PTR_INT__d_s_h_s += lastoffset*126;
224                             PRIM_PTR_INT__d_s_i_s += lastoffset*168;
225                             PRIM_PTR_INT__d_s_k_s += lastoffset*216;
226                             PRIM_PTR_INT__d_s_l_s += lastoffset*270;
227                             PRIM_PTR_INT__d_s_m_s += lastoffset*330;
228                             PRIM_PTR_INT__d_s_n_s += lastoffset*396;
229                             continue;
230                         }
231                     }
232 
233                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
234                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
235                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
236                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
237 
238 
239                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
240                     SIMINT_DBLTYPE PQ[3];
241                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
242                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
243                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
244                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
245                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
246                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
247 
248                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
249                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
250                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
251                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
252                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
253                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
254                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
255 
256                     // NOTE: Minus sign!
257                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
258                     SIMINT_DBLTYPE aop_PQ[3];
259                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
260                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
261                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
262 
263                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
264                     SIMINT_DBLTYPE aoq_PQ[3];
265                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
266                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
267                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
268                     // Put a minus sign here so we don't have to in RR routines
269                     a_over_q = SIMINT_NEG(a_over_q);
270 
271 
272                     //////////////////////////////////////////////
273                     // Fjt function section
274                     // Maximum v value: 12
275                     //////////////////////////////////////////////
276                     // The parameter to the Fjt function
277                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
278 
279 
280                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
281 
282 
283                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 12);
284                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
285                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
286                     for(n = 0; n <= 12; n++)
287                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
288 
289                     //////////////////////////////////////////////
290                     // Primitive integrals: Vertical recurrance
291                     //////////////////////////////////////////////
292 
293                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
294                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
295                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
296                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
297                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
298                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
299                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
300                     const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
301                     const SIMINT_DBLTYPE vrr_const_8_over_2q = SIMINT_MUL(const_8, one_over_2q);
302                     const SIMINT_DBLTYPE vrr_const_9_over_2q = SIMINT_MUL(const_9, one_over_2q);
303                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
304                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
305                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
306                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
307                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
308                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
309                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
310                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
311                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
312                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
313 
314 
315 
316                     // Forming PRIM_INT__s_s_p_s[12 * 3];
317                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
318                     {
319 
320                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
321                         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]);
322 
323                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
324                         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]);
325 
326                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
327                         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]);
328 
329                     }
330 
331 
332 
333                     // Forming PRIM_INT__s_s_d_s[11 * 6];
334                     for(n = 0; n < 11; ++n)  // loop over orders of auxiliary function
335                     {
336 
337                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
338                         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]);
339                         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]);
340 
341                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
342                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 1]);
343 
344                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
345                         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]);
346                         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]);
347 
348                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
349                         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]);
350                         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]);
351 
352                     }
353 
354 
355 
356                     // Forming PRIM_INT__s_s_f_s[10 * 10];
357                     for(n = 0; n < 10; ++n)  // loop over orders of auxiliary function
358                     {
359 
360                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
361                         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]);
362                         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]);
363 
364                         PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
365                         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]);
366 
367                         PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
368                         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]);
369 
370                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
371                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 3]);
372 
373                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
374                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__s_s_f_s[n * 10 + 4]);
375 
376                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
377                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 5]);
378 
379                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
380                         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]);
381                         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]);
382 
383                         PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
384                         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]);
385 
386                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
387                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 8]);
388 
389                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
390                         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]);
391                         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]);
392 
393                     }
394 
395 
396                     VRR_K_s_s_g_s(
397                             PRIM_INT__s_s_g_s,
398                             PRIM_INT__s_s_f_s,
399                             PRIM_INT__s_s_d_s,
400                             Q_PA,
401                             a_over_q,
402                             aoq_PQ,
403                             one_over_2q,
404                             9);
405 
406 
407                     VRR_K_s_s_h_s(
408                             PRIM_INT__s_s_h_s,
409                             PRIM_INT__s_s_g_s,
410                             PRIM_INT__s_s_f_s,
411                             Q_PA,
412                             a_over_q,
413                             aoq_PQ,
414                             one_over_2q,
415                             8);
416 
417 
418                     ostei_general_vrr_I(1, 0, 5, 0, 2,
419                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
420                             PRIM_INT__s_s_h_s, NULL, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
421 
422 
423                     ostei_general_vrr1_K(6, 7,
424                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
425                             PRIM_INT__s_s_h_s, PRIM_INT__s_s_g_s, PRIM_INT__s_s_i_s);
426 
427 
428                     ostei_general_vrr_I(1, 0, 6, 0, 2,
429                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
430                             PRIM_INT__s_s_i_s, NULL, NULL, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_i_s);
431 
432 
433                     VRR_I_p_s_g_s(
434                             PRIM_INT__p_s_g_s,
435                             PRIM_INT__s_s_g_s,
436                             PRIM_INT__s_s_f_s,
437                             P_PA,
438                             aop_PQ,
439                             one_over_2pq,
440                             2);
441 
442 
443                     ostei_general_vrr_I(2, 0, 5, 0, 1,
444                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
445                             PRIM_INT__p_s_h_s, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_h_s);
446 
447 
448                     ostei_general_vrr1_K(7, 6,
449                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
450                             PRIM_INT__s_s_i_s, PRIM_INT__s_s_h_s, PRIM_INT__s_s_k_s);
451 
452 
453                     ostei_general_vrr_I(1, 0, 7, 0, 2,
454                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
455                             PRIM_INT__s_s_k_s, NULL, NULL, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_k_s);
456 
457 
458                     ostei_general_vrr_I(2, 0, 6, 0, 1,
459                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
460                             PRIM_INT__p_s_i_s, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_i_s);
461 
462 
463                     ostei_general_vrr1_K(8, 5,
464                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
465                             PRIM_INT__s_s_k_s, PRIM_INT__s_s_i_s, PRIM_INT__s_s_l_s);
466 
467 
468                     ostei_general_vrr_I(1, 0, 8, 0, 2,
469                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
470                             PRIM_INT__s_s_l_s, NULL, NULL, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_l_s);
471 
472 
473                     ostei_general_vrr_I(2, 0, 7, 0, 1,
474                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
475                             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);
476 
477 
478                     ostei_general_vrr1_K(9, 4,
479                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
480                             PRIM_INT__s_s_l_s, PRIM_INT__s_s_k_s, PRIM_INT__s_s_m_s);
481 
482 
483                     ostei_general_vrr_I(1, 0, 9, 0, 2,
484                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
485                             PRIM_INT__s_s_m_s, NULL, NULL, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_m_s);
486 
487 
488                     ostei_general_vrr_I(2, 0, 8, 0, 1,
489                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
490                             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);
491 
492 
493                     ostei_general_vrr1_K(10, 3,
494                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
495                             PRIM_INT__s_s_m_s, PRIM_INT__s_s_l_s, PRIM_INT__s_s_n_s);
496 
497 
498                     ostei_general_vrr_I(1, 0, 10, 0, 2,
499                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
500                             PRIM_INT__s_s_n_s, NULL, NULL, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_n_s);
501 
502 
503                     ostei_general_vrr_I(2, 0, 9, 0, 1,
504                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
505                             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);
506 
507 
508                     ostei_general_vrr_I(2, 0, 10, 0, 1,
509                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
510                             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);
511 
512 
513 
514 
515                     ////////////////////////////////////
516                     // Accumulate contracted integrals
517                     ////////////////////////////////////
518                     if(lastoffset == 0)
519                     {
520                         contract_all(63, PRIM_INT__p_s_h_s, PRIM_PTR_INT__p_s_h_s);
521                         contract_all(84, PRIM_INT__p_s_i_s, PRIM_PTR_INT__p_s_i_s);
522                         contract_all(108, PRIM_INT__p_s_k_s, PRIM_PTR_INT__p_s_k_s);
523                         contract_all(135, PRIM_INT__p_s_l_s, PRIM_PTR_INT__p_s_l_s);
524                         contract_all(165, PRIM_INT__p_s_m_s, PRIM_PTR_INT__p_s_m_s);
525                         contract_all(198, PRIM_INT__p_s_n_s, PRIM_PTR_INT__p_s_n_s);
526                         contract_all(126, PRIM_INT__d_s_h_s, PRIM_PTR_INT__d_s_h_s);
527                         contract_all(168, PRIM_INT__d_s_i_s, PRIM_PTR_INT__d_s_i_s);
528                         contract_all(216, PRIM_INT__d_s_k_s, PRIM_PTR_INT__d_s_k_s);
529                         contract_all(270, PRIM_INT__d_s_l_s, PRIM_PTR_INT__d_s_l_s);
530                         contract_all(330, PRIM_INT__d_s_m_s, PRIM_PTR_INT__d_s_m_s);
531                         contract_all(396, PRIM_INT__d_s_n_s, PRIM_PTR_INT__d_s_n_s);
532                     }
533                     else
534                     {
535                         contract(63, shelloffsets, PRIM_INT__p_s_h_s, PRIM_PTR_INT__p_s_h_s);
536                         contract(84, shelloffsets, PRIM_INT__p_s_i_s, PRIM_PTR_INT__p_s_i_s);
537                         contract(108, shelloffsets, PRIM_INT__p_s_k_s, PRIM_PTR_INT__p_s_k_s);
538                         contract(135, shelloffsets, PRIM_INT__p_s_l_s, PRIM_PTR_INT__p_s_l_s);
539                         contract(165, shelloffsets, PRIM_INT__p_s_m_s, PRIM_PTR_INT__p_s_m_s);
540                         contract(198, shelloffsets, PRIM_INT__p_s_n_s, PRIM_PTR_INT__p_s_n_s);
541                         contract(126, shelloffsets, PRIM_INT__d_s_h_s, PRIM_PTR_INT__d_s_h_s);
542                         contract(168, shelloffsets, PRIM_INT__d_s_i_s, PRIM_PTR_INT__d_s_i_s);
543                         contract(216, shelloffsets, PRIM_INT__d_s_k_s, PRIM_PTR_INT__d_s_k_s);
544                         contract(270, shelloffsets, PRIM_INT__d_s_l_s, PRIM_PTR_INT__d_s_l_s);
545                         contract(330, shelloffsets, PRIM_INT__d_s_m_s, PRIM_PTR_INT__d_s_m_s);
546                         contract(396, shelloffsets, PRIM_INT__d_s_n_s, PRIM_PTR_INT__d_s_n_s);
547                         PRIM_PTR_INT__p_s_h_s += lastoffset*63;
548                         PRIM_PTR_INT__p_s_i_s += lastoffset*84;
549                         PRIM_PTR_INT__p_s_k_s += lastoffset*108;
550                         PRIM_PTR_INT__p_s_l_s += lastoffset*135;
551                         PRIM_PTR_INT__p_s_m_s += lastoffset*165;
552                         PRIM_PTR_INT__p_s_n_s += lastoffset*198;
553                         PRIM_PTR_INT__d_s_h_s += lastoffset*126;
554                         PRIM_PTR_INT__d_s_i_s += lastoffset*168;
555                         PRIM_PTR_INT__d_s_k_s += lastoffset*216;
556                         PRIM_PTR_INT__d_s_l_s += lastoffset*270;
557                         PRIM_PTR_INT__d_s_m_s += lastoffset*330;
558                         PRIM_PTR_INT__d_s_n_s += lastoffset*396;
559                     }
560 
561                 }  // close loop over j
562             }  // close loop over i
563 
564             //Advance to the next batch
565             jstart = SIMINT_SIMD_ROUND(jend);
566 
567             //////////////////////////////////////////////
568             // Contracted integrals: Horizontal recurrance
569             //////////////////////////////////////////////
570 
571 
572             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
573 
574 
575             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
576             {
577                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
578 
579                 // set up HRR pointers
580                 double const * restrict HRR_INT__p_s_h_s = INT__p_s_h_s + abcd * 63;
581                 double const * restrict HRR_INT__p_s_i_s = INT__p_s_i_s + abcd * 84;
582                 double const * restrict HRR_INT__p_s_k_s = INT__p_s_k_s + abcd * 108;
583                 double const * restrict HRR_INT__p_s_l_s = INT__p_s_l_s + abcd * 135;
584                 double const * restrict HRR_INT__p_s_m_s = INT__p_s_m_s + abcd * 165;
585                 double const * restrict HRR_INT__p_s_n_s = INT__p_s_n_s + abcd * 198;
586                 double const * restrict HRR_INT__d_s_h_s = INT__d_s_h_s + abcd * 126;
587                 double const * restrict HRR_INT__d_s_i_s = INT__d_s_i_s + abcd * 168;
588                 double const * restrict HRR_INT__d_s_k_s = INT__d_s_k_s + abcd * 216;
589                 double const * restrict HRR_INT__d_s_l_s = INT__d_s_l_s + abcd * 270;
590                 double const * restrict HRR_INT__d_s_m_s = INT__d_s_m_s + abcd * 330;
591                 double const * restrict HRR_INT__d_s_n_s = INT__d_s_n_s + abcd * 396;
592                 double * restrict HRR_INT__p_p_h_h = INT__p_p_h_h + real_abcd * 3969;
593 
594                 // form INT__p_p_h_s
595                 for(iket = 0; iket < 21; ++iket)
596                 {
597                     HRR_INT__p_p_h_s[0 * 21 + iket] = HRR_INT__d_s_h_s[0 * 21 + iket] + ( hAB[0] * HRR_INT__p_s_h_s[0 * 21 + iket] );
598 
599                     HRR_INT__p_p_h_s[1 * 21 + iket] = HRR_INT__d_s_h_s[1 * 21 + iket] + ( hAB[1] * HRR_INT__p_s_h_s[0 * 21 + iket] );
600 
601                     HRR_INT__p_p_h_s[2 * 21 + iket] = HRR_INT__d_s_h_s[2 * 21 + iket] + ( hAB[2] * HRR_INT__p_s_h_s[0 * 21 + iket] );
602 
603                     HRR_INT__p_p_h_s[3 * 21 + iket] = HRR_INT__d_s_h_s[1 * 21 + iket] + ( hAB[0] * HRR_INT__p_s_h_s[1 * 21 + iket] );
604 
605                     HRR_INT__p_p_h_s[4 * 21 + iket] = HRR_INT__d_s_h_s[3 * 21 + iket] + ( hAB[1] * HRR_INT__p_s_h_s[1 * 21 + iket] );
606 
607                     HRR_INT__p_p_h_s[5 * 21 + iket] = HRR_INT__d_s_h_s[4 * 21 + iket] + ( hAB[2] * HRR_INT__p_s_h_s[1 * 21 + iket] );
608 
609                     HRR_INT__p_p_h_s[6 * 21 + iket] = HRR_INT__d_s_h_s[2 * 21 + iket] + ( hAB[0] * HRR_INT__p_s_h_s[2 * 21 + iket] );
610 
611                     HRR_INT__p_p_h_s[7 * 21 + iket] = HRR_INT__d_s_h_s[4 * 21 + iket] + ( hAB[1] * HRR_INT__p_s_h_s[2 * 21 + iket] );
612 
613                     HRR_INT__p_p_h_s[8 * 21 + iket] = HRR_INT__d_s_h_s[5 * 21 + iket] + ( hAB[2] * HRR_INT__p_s_h_s[2 * 21 + iket] );
614 
615                 }
616 
617 
618                 // form INT__p_p_i_s
619                 for(iket = 0; iket < 28; ++iket)
620                 {
621                     HRR_INT__p_p_i_s[0 * 28 + iket] = HRR_INT__d_s_i_s[0 * 28 + iket] + ( hAB[0] * HRR_INT__p_s_i_s[0 * 28 + iket] );
622 
623                     HRR_INT__p_p_i_s[1 * 28 + iket] = HRR_INT__d_s_i_s[1 * 28 + iket] + ( hAB[1] * HRR_INT__p_s_i_s[0 * 28 + iket] );
624 
625                     HRR_INT__p_p_i_s[2 * 28 + iket] = HRR_INT__d_s_i_s[2 * 28 + iket] + ( hAB[2] * HRR_INT__p_s_i_s[0 * 28 + iket] );
626 
627                     HRR_INT__p_p_i_s[3 * 28 + iket] = HRR_INT__d_s_i_s[1 * 28 + iket] + ( hAB[0] * HRR_INT__p_s_i_s[1 * 28 + iket] );
628 
629                     HRR_INT__p_p_i_s[4 * 28 + iket] = HRR_INT__d_s_i_s[3 * 28 + iket] + ( hAB[1] * HRR_INT__p_s_i_s[1 * 28 + iket] );
630 
631                     HRR_INT__p_p_i_s[5 * 28 + iket] = HRR_INT__d_s_i_s[4 * 28 + iket] + ( hAB[2] * HRR_INT__p_s_i_s[1 * 28 + iket] );
632 
633                     HRR_INT__p_p_i_s[6 * 28 + iket] = HRR_INT__d_s_i_s[2 * 28 + iket] + ( hAB[0] * HRR_INT__p_s_i_s[2 * 28 + iket] );
634 
635                     HRR_INT__p_p_i_s[7 * 28 + iket] = HRR_INT__d_s_i_s[4 * 28 + iket] + ( hAB[1] * HRR_INT__p_s_i_s[2 * 28 + iket] );
636 
637                     HRR_INT__p_p_i_s[8 * 28 + iket] = HRR_INT__d_s_i_s[5 * 28 + iket] + ( hAB[2] * HRR_INT__p_s_i_s[2 * 28 + iket] );
638 
639                 }
640 
641 
642                 // form INT__p_p_k_s
643                 for(iket = 0; iket < 36; ++iket)
644                 {
645                     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] );
646 
647                     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] );
648 
649                     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] );
650 
651                     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] );
652 
653                     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] );
654 
655                     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] );
656 
657                     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] );
658 
659                     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] );
660 
661                     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] );
662 
663                 }
664 
665 
666                 // form INT__p_p_l_s
667                 for(iket = 0; iket < 45; ++iket)
668                 {
669                     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] );
670 
671                     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] );
672 
673                     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] );
674 
675                     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] );
676 
677                     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] );
678 
679                     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] );
680 
681                     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] );
682 
683                     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] );
684 
685                     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] );
686 
687                 }
688 
689 
690                 // form INT__p_p_m_s
691                 for(iket = 0; iket < 55; ++iket)
692                 {
693                     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] );
694 
695                     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] );
696 
697                     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] );
698 
699                     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] );
700 
701                     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] );
702 
703                     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] );
704 
705                     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] );
706 
707                     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] );
708 
709                     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] );
710 
711                 }
712 
713 
714                 // form INT__p_p_n_s
715                 for(iket = 0; iket < 66; ++iket)
716                 {
717                     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] );
718 
719                     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] );
720 
721                     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] );
722 
723                     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] );
724 
725                     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] );
726 
727                     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] );
728 
729                     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] );
730 
731                     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] );
732 
733                     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] );
734 
735                 }
736 
737 
738                 // form INT__p_p_h_p
739                 ostei_general_hrr_L(1, 1, 5, 1, hCD, HRR_INT__p_p_i_s, HRR_INT__p_p_h_s, HRR_INT__p_p_h_p);
740 
741                 // form INT__p_p_i_p
742                 ostei_general_hrr_L(1, 1, 6, 1, hCD, HRR_INT__p_p_k_s, HRR_INT__p_p_i_s, HRR_INT__p_p_i_p);
743 
744                 // form INT__p_p_k_p
745                 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);
746 
747                 // form INT__p_p_l_p
748                 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);
749 
750                 // form INT__p_p_m_p
751                 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);
752 
753                 // form INT__p_p_h_d
754                 ostei_general_hrr_L(1, 1, 5, 2, hCD, HRR_INT__p_p_i_p, HRR_INT__p_p_h_p, HRR_INT__p_p_h_d);
755 
756                 // form INT__p_p_i_d
757                 ostei_general_hrr_L(1, 1, 6, 2, hCD, HRR_INT__p_p_k_p, HRR_INT__p_p_i_p, HRR_INT__p_p_i_d);
758 
759                 // form INT__p_p_k_d
760                 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);
761 
762                 // form INT__p_p_l_d
763                 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);
764 
765                 // form INT__p_p_h_f
766                 ostei_general_hrr_L(1, 1, 5, 3, hCD, HRR_INT__p_p_i_d, HRR_INT__p_p_h_d, HRR_INT__p_p_h_f);
767 
768                 // form INT__p_p_i_f
769                 ostei_general_hrr_L(1, 1, 6, 3, hCD, HRR_INT__p_p_k_d, HRR_INT__p_p_i_d, HRR_INT__p_p_i_f);
770 
771                 // form INT__p_p_k_f
772                 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);
773 
774                 // form INT__p_p_h_g
775                 ostei_general_hrr_L(1, 1, 5, 4, hCD, HRR_INT__p_p_i_f, HRR_INT__p_p_h_f, HRR_INT__p_p_h_g);
776 
777                 // form INT__p_p_i_g
778                 ostei_general_hrr_L(1, 1, 6, 4, hCD, HRR_INT__p_p_k_f, HRR_INT__p_p_i_f, HRR_INT__p_p_i_g);
779 
780                 // form INT__p_p_h_h
781                 ostei_general_hrr_L(1, 1, 5, 5, hCD, HRR_INT__p_p_i_g, HRR_INT__p_p_h_g, HRR_INT__p_p_h_h);
782 
783 
784             }  // close HRR loop
785 
786 
787         }   // close loop cdbatch
788 
789         istart = iend;
790     }  // close loop over ab
791 
792     return P.nshell12_clip * Q.nshell12_clip;
793 }
794 
795