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_f_f_f_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__f_f_f_d)8 int ostei_f_f_f_d(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__f_f_f_d)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__f_f_f_d);
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__f_s_f_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__f_s_g_s = work + (SIMINT_NSHELL_SIMD * 100);
31     double * const INT__f_s_h_s = work + (SIMINT_NSHELL_SIMD * 250);
32     double * const INT__g_s_f_s = work + (SIMINT_NSHELL_SIMD * 460);
33     double * const INT__g_s_g_s = work + (SIMINT_NSHELL_SIMD * 610);
34     double * const INT__g_s_h_s = work + (SIMINT_NSHELL_SIMD * 835);
35     double * const INT__h_s_f_s = work + (SIMINT_NSHELL_SIMD * 1150);
36     double * const INT__h_s_g_s = work + (SIMINT_NSHELL_SIMD * 1360);
37     double * const INT__h_s_h_s = work + (SIMINT_NSHELL_SIMD * 1675);
38     double * const INT__i_s_f_s = work + (SIMINT_NSHELL_SIMD * 2116);
39     double * const INT__i_s_g_s = work + (SIMINT_NSHELL_SIMD * 2396);
40     double * const INT__i_s_h_s = work + (SIMINT_NSHELL_SIMD * 2816);
41     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*3404);
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 + 12;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 27;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 51;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 84;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 129;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 201;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 291;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 351;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 441;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 585;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 765;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 945;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 1035;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 1185;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 1425;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 1725;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 2025;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 2235;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 2355;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 2580;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 2940;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 3390;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 3840;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 4155;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 4302;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 4617;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 5121;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 5751;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 6381;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 6822;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 6990;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 7410;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 8082;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 8922;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 9762;
78     double * const hrrwork = (double *)(primwork + 10350);
79     double * const HRR_INT__f_p_f_s = hrrwork + 0;
80     double * const HRR_INT__f_p_g_s = hrrwork + 300;
81     double * const HRR_INT__f_p_h_s = hrrwork + 750;
82     double * const HRR_INT__f_d_f_s = hrrwork + 1380;
83     double * const HRR_INT__f_d_g_s = hrrwork + 1980;
84     double * const HRR_INT__f_d_h_s = hrrwork + 2880;
85     double * const HRR_INT__f_f_f_s = hrrwork + 4140;
86     double * const HRR_INT__f_f_f_p = hrrwork + 5140;
87     double * const HRR_INT__f_f_g_s = hrrwork + 8140;
88     double * const HRR_INT__f_f_g_p = hrrwork + 9640;
89     double * const HRR_INT__f_f_h_s = hrrwork + 14140;
90     double * const HRR_INT__g_p_f_s = hrrwork + 16240;
91     double * const HRR_INT__g_p_g_s = hrrwork + 16690;
92     double * const HRR_INT__g_p_h_s = hrrwork + 17365;
93     double * const HRR_INT__g_d_f_s = hrrwork + 18310;
94     double * const HRR_INT__g_d_g_s = hrrwork + 19210;
95     double * const HRR_INT__g_d_h_s = hrrwork + 20560;
96     double * const HRR_INT__h_p_f_s = hrrwork + 22450;
97     double * const HRR_INT__h_p_g_s = hrrwork + 23080;
98     double * const HRR_INT__h_p_h_s = hrrwork + 24025;
99 
100 
101     // Create constants
102     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
103     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
104     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
105     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
106     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
107     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
108     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
109 
110 
111     ////////////////////////////////////////
112     // Loop over shells and primitives
113     ////////////////////////////////////////
114 
115     real_abcd = 0;
116     istart = 0;
117     for(ab = 0; ab < P.nshell12_clip; ++ab)
118     {
119         const int iend = istart + P.nprim12[ab];
120 
121         cd = 0;
122         jstart = 0;
123 
124         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
125         {
126             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
127             int jend = jstart;
128             for(i = 0; i < nshellbatch; i++)
129                 jend += Q.nprim12[cd+i];
130 
131             // Clear the beginning of the workspace (where we are accumulating integrals)
132             memset(work, 0, SIMINT_NSHELL_SIMD * 3404 * sizeof(double));
133             abcd = 0;
134 
135 
136             for(i = istart; i < iend; ++i)
137             {
138                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
139 
140                 if(check_screen)
141                 {
142                     // Skip this whole thing if always insignificant
143                     if((P.screen[i] * Q.screen_max) < screen_tol)
144                         continue;
145                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
146                 }
147 
148                 icd = 0;
149                 iprimcd = 0;
150                 nprim_icd = Q.nprim12[cd];
151                 double * restrict PRIM_PTR_INT__f_s_f_s = INT__f_s_f_s + abcd * 100;
152                 double * restrict PRIM_PTR_INT__f_s_g_s = INT__f_s_g_s + abcd * 150;
153                 double * restrict PRIM_PTR_INT__f_s_h_s = INT__f_s_h_s + abcd * 210;
154                 double * restrict PRIM_PTR_INT__g_s_f_s = INT__g_s_f_s + abcd * 150;
155                 double * restrict PRIM_PTR_INT__g_s_g_s = INT__g_s_g_s + abcd * 225;
156                 double * restrict PRIM_PTR_INT__g_s_h_s = INT__g_s_h_s + abcd * 315;
157                 double * restrict PRIM_PTR_INT__h_s_f_s = INT__h_s_f_s + abcd * 210;
158                 double * restrict PRIM_PTR_INT__h_s_g_s = INT__h_s_g_s + abcd * 315;
159                 double * restrict PRIM_PTR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
160                 double * restrict PRIM_PTR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
161                 double * restrict PRIM_PTR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
162                 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
163 
164 
165 
166                 // Load these one per loop over i
167                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
168                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
169                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
170 
171                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
172 
173                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
174                 {
175                     // calculate the shell offsets
176                     // these are the offset from the shell pointed to by cd
177                     // for each element
178                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
179                     int lastoffset = 0;
180                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
181 
182                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
183                     {
184                         // Handle if the first element of the vector is a new shell
185                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
186                         {
187                             nprim_icd += Q.nprim12[cd + (++icd)];
188                             PRIM_PTR_INT__f_s_f_s += 100;
189                             PRIM_PTR_INT__f_s_g_s += 150;
190                             PRIM_PTR_INT__f_s_h_s += 210;
191                             PRIM_PTR_INT__g_s_f_s += 150;
192                             PRIM_PTR_INT__g_s_g_s += 225;
193                             PRIM_PTR_INT__g_s_h_s += 315;
194                             PRIM_PTR_INT__h_s_f_s += 210;
195                             PRIM_PTR_INT__h_s_g_s += 315;
196                             PRIM_PTR_INT__h_s_h_s += 441;
197                             PRIM_PTR_INT__i_s_f_s += 280;
198                             PRIM_PTR_INT__i_s_g_s += 420;
199                             PRIM_PTR_INT__i_s_h_s += 588;
200                         }
201                         iprimcd++;
202                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
203                         {
204                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
205                             {
206                                 shelloffsets[n] = shelloffsets[n-1] + 1;
207                                 lastoffset++;
208                                 nprim_icd += Q.nprim12[cd + (++icd)];
209                             }
210                             else
211                                 shelloffsets[n] = shelloffsets[n-1];
212                             iprimcd++;
213                         }
214                     }
215                     else
216                         iprimcd += SIMINT_SIMD_LEN;
217 
218                     // Do we have to compute this vector (or has it been screened out)?
219                     // (not_screened != 0 means we have to do this vector)
220                     if(check_screen)
221                     {
222                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
223                         if(vmax < screen_tol)
224                         {
225                             PRIM_PTR_INT__f_s_f_s += lastoffset*100;
226                             PRIM_PTR_INT__f_s_g_s += lastoffset*150;
227                             PRIM_PTR_INT__f_s_h_s += lastoffset*210;
228                             PRIM_PTR_INT__g_s_f_s += lastoffset*150;
229                             PRIM_PTR_INT__g_s_g_s += lastoffset*225;
230                             PRIM_PTR_INT__g_s_h_s += lastoffset*315;
231                             PRIM_PTR_INT__h_s_f_s += lastoffset*210;
232                             PRIM_PTR_INT__h_s_g_s += lastoffset*315;
233                             PRIM_PTR_INT__h_s_h_s += lastoffset*441;
234                             PRIM_PTR_INT__i_s_f_s += lastoffset*280;
235                             PRIM_PTR_INT__i_s_g_s += lastoffset*420;
236                             PRIM_PTR_INT__i_s_h_s += lastoffset*588;
237                             continue;
238                         }
239                     }
240 
241                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
242                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
243                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
244                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
245 
246 
247                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
248                     SIMINT_DBLTYPE PQ[3];
249                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
250                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
251                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
252                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
253                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
254                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
255 
256                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
257                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
258                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
259                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
260                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
261                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
262                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
263 
264                     // NOTE: Minus sign!
265                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
266                     SIMINT_DBLTYPE aop_PQ[3];
267                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
268                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
269                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
270 
271                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
272                     SIMINT_DBLTYPE aoq_PQ[3];
273                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
274                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
275                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
276                     // Put a minus sign here so we don't have to in RR routines
277                     a_over_q = SIMINT_NEG(a_over_q);
278 
279 
280                     //////////////////////////////////////////////
281                     // Fjt function section
282                     // Maximum v value: 11
283                     //////////////////////////////////////////////
284                     // The parameter to the Fjt function
285                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
286 
287 
288                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
289 
290 
291                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 11);
292                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
293                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
294                     for(n = 0; n <= 11; n++)
295                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
296 
297                     //////////////////////////////////////////////
298                     // Primitive integrals: Vertical recurrance
299                     //////////////////////////////////////////////
300 
301                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
302                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
303                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
304                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
305                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
306                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
307                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
308                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
309                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
310                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
311                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
312                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
313                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
314                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
315                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
316 
317 
318 
319                     // Forming PRIM_INT__p_s_s_s[11 * 3];
320                     for(n = 0; n < 11; ++n)  // loop over orders of auxiliary function
321                     {
322 
323                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
324                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]);
325 
326                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
327                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_s_s[n * 3 + 1]);
328 
329                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
330                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_s_s[n * 3 + 2]);
331 
332                     }
333 
334 
335 
336                     // Forming PRIM_INT__d_s_s_s[10 * 6];
337                     for(n = 0; n < 10; ++n)  // loop over orders of auxiliary function
338                     {
339 
340                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
341                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_s_s[n * 6 + 0]);
342                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__d_s_s_s[n * 6 + 0]);
343 
344                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
345                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_s_s[n * 6 + 1]);
346 
347                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
348                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_s_s[n * 6 + 2]);
349 
350                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
351                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_s_s[n * 6 + 3]);
352                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__d_s_s_s[n * 6 + 3]);
353 
354                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
355                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_s_s[n * 6 + 4]);
356 
357                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
358                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_s_s[n * 6 + 5]);
359                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__d_s_s_s[n * 6 + 5]);
360 
361                     }
362 
363 
364 
365                     // Forming PRIM_INT__f_s_s_s[9 * 10];
366                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
367                     {
368 
369                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
370                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__f_s_s_s[n * 10 + 0]);
371                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__f_s_s_s[n * 10 + 0]);
372 
373                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
374                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__f_s_s_s[n * 10 + 1]);
375 
376                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
377                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__f_s_s_s[n * 10 + 2]);
378 
379                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
380                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__f_s_s_s[n * 10 + 3]);
381 
382                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
383                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__f_s_s_s[n * 10 + 4]);
384 
385                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
386                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__f_s_s_s[n * 10 + 5]);
387 
388                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
389                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__f_s_s_s[n * 10 + 6]);
390                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__f_s_s_s[n * 10 + 6]);
391 
392                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
393                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__f_s_s_s[n * 10 + 7]);
394 
395                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
396                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__f_s_s_s[n * 10 + 8]);
397 
398                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
399                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__f_s_s_s[n * 10 + 9]);
400                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__f_s_s_s[n * 10 + 9]);
401 
402                     }
403 
404 
405                     VRR_K_f_s_p_s(
406                             PRIM_INT__f_s_p_s,
407                             PRIM_INT__f_s_s_s,
408                             PRIM_INT__d_s_s_s,
409                             Q_PA,
410                             aoq_PQ,
411                             one_over_2pq,
412                             5);
413 
414 
415 
416                     // Forming PRIM_INT__d_s_p_s[5 * 18];
417                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
418                     {
419 
420                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
421                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
422                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
423 
424                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
425                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 1]);
426 
427                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
428                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 2]);
429 
430                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
431                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 3]);
432                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 3]);
433 
434                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
435                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 4]);
436                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 4]);
437 
438                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
439                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 5]);
440 
441                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
442                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 6]);
443                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 6]);
444 
445                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
446                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 7]);
447 
448                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
449                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 8]);
450                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 8]);
451 
452                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
453                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 9]);
454 
455                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
456                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 10]);
457                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 10]);
458 
459                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
460                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 11]);
461 
462                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
463                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 12]);
464 
465                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
466                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 13]);
467                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 13]);
468 
469                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
470                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 14]);
471                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 14]);
472 
473                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
474                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 15]);
475 
476                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
477                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 16]);
478 
479                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
480                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 17]);
481                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 17]);
482 
483                     }
484 
485 
486                     VRR_K_f_s_d_s(
487                             PRIM_INT__f_s_d_s,
488                             PRIM_INT__f_s_p_s,
489                             PRIM_INT__f_s_s_s,
490                             PRIM_INT__d_s_p_s,
491                             Q_PA,
492                             a_over_q,
493                             aoq_PQ,
494                             one_over_2pq,
495                             one_over_2q,
496                             4);
497 
498 
499 
500                     // Forming PRIM_INT__p_s_p_s[5 * 9];
501                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
502                     {
503 
504                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
505                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
506                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
507 
508                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
509                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 1]);
510 
511                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
512                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 2]);
513 
514                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
515                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 3]);
516 
517                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
518                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 4]);
519                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 4]);
520 
521                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
522                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 5]);
523 
524                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
525                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 6]);
526 
527                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
528                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 7]);
529 
530                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
531                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 8]);
532                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 8]);
533 
534                     }
535 
536 
537                     VRR_K_d_s_d_s(
538                             PRIM_INT__d_s_d_s,
539                             PRIM_INT__d_s_p_s,
540                             PRIM_INT__d_s_s_s,
541                             PRIM_INT__p_s_p_s,
542                             Q_PA,
543                             a_over_q,
544                             aoq_PQ,
545                             one_over_2pq,
546                             one_over_2q,
547                             4);
548 
549 
550                     ostei_general_vrr_K(3, 0, 3, 0, 3,
551                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
552                             PRIM_INT__f_s_d_s, PRIM_INT__f_s_p_s, NULL, PRIM_INT__d_s_d_s, NULL, PRIM_INT__f_s_f_s);
553 
554 
555 
556                     // Forming PRIM_INT__s_s_p_s[5 * 3];
557                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
558                     {
559 
560                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
561                         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]);
562 
563                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
564                         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]);
565 
566                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
567                         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]);
568 
569                     }
570 
571 
572 
573                     // Forming PRIM_INT__p_s_d_s[4 * 18];
574                     for(n = 0; n < 4; ++n)  // loop over orders of auxiliary function
575                     {
576 
577                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
578                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
579                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 0]);
580                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
581 
582                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
583                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 1], PRIM_INT__p_s_d_s[n * 18 + 3]);
584                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 3]);
585 
586                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
587                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 2], PRIM_INT__p_s_d_s[n * 18 + 5]);
588                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 5]);
589 
590                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
591                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 3], PRIM_INT__p_s_d_s[n * 18 + 6]);
592                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 6]);
593 
594                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
595                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 4], PRIM_INT__p_s_d_s[n * 18 + 9]);
596                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 9]);
597                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_d_s[n * 18 + 9]);
598 
599                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
600                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 5], PRIM_INT__p_s_d_s[n * 18 + 11]);
601                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 11]);
602 
603                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
604                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 6], PRIM_INT__p_s_d_s[n * 18 + 12]);
605                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 12]);
606 
607                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
608                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 7], PRIM_INT__p_s_d_s[n * 18 + 15]);
609                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 15]);
610 
611                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
612                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 8], PRIM_INT__p_s_d_s[n * 18 + 17]);
613                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 17]);
614                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_d_s[n * 18 + 17]);
615 
616                     }
617 
618 
619                     VRR_K_d_s_f_s(
620                             PRIM_INT__d_s_f_s,
621                             PRIM_INT__d_s_d_s,
622                             PRIM_INT__d_s_p_s,
623                             PRIM_INT__p_s_d_s,
624                             Q_PA,
625                             a_over_q,
626                             aoq_PQ,
627                             one_over_2pq,
628                             one_over_2q,
629                             3);
630 
631 
632                     ostei_general_vrr_K(3, 0, 4, 0, 2,
633                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
634                             PRIM_INT__f_s_f_s, PRIM_INT__f_s_d_s, NULL, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_g_s);
635 
636 
637                     VRR_I_g_s_s_s(
638                             PRIM_INT__g_s_s_s,
639                             PRIM_INT__f_s_s_s,
640                             PRIM_INT__d_s_s_s,
641                             P_PA,
642                             a_over_p,
643                             aop_PQ,
644                             one_over_2p,
645                             8);
646 
647 
648                     VRR_K_g_s_p_s(
649                             PRIM_INT__g_s_p_s,
650                             PRIM_INT__g_s_s_s,
651                             PRIM_INT__f_s_s_s,
652                             Q_PA,
653                             aoq_PQ,
654                             one_over_2pq,
655                             5);
656 
657 
658                     ostei_general_vrr_K(4, 0, 2, 0, 4,
659                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
660                             PRIM_INT__g_s_p_s, PRIM_INT__g_s_s_s, NULL, PRIM_INT__f_s_p_s, NULL, PRIM_INT__g_s_d_s);
661 
662 
663                     ostei_general_vrr_K(4, 0, 3, 0, 3,
664                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
665                             PRIM_INT__g_s_d_s, PRIM_INT__g_s_p_s, NULL, PRIM_INT__f_s_d_s, NULL, PRIM_INT__g_s_f_s);
666 
667 
668 
669                     // Forming PRIM_INT__s_s_d_s[4 * 6];
670                     for(n = 0; n < 4; ++n)  // loop over orders of auxiliary function
671                     {
672 
673                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
674                         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]);
675                         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]);
676 
677                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
678                         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]);
679                         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]);
680 
681                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
682                         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]);
683                         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]);
684 
685                     }
686 
687 
688                     VRR_K_p_s_f_s(
689                             PRIM_INT__p_s_f_s,
690                             PRIM_INT__p_s_d_s,
691                             PRIM_INT__p_s_p_s,
692                             PRIM_INT__s_s_d_s,
693                             Q_PA,
694                             a_over_q,
695                             aoq_PQ,
696                             one_over_2pq,
697                             one_over_2q,
698                             3);
699 
700 
701                     ostei_general_vrr_K(2, 0, 4, 0, 2,
702                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
703                             PRIM_INT__d_s_f_s, PRIM_INT__d_s_d_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
704 
705 
706                     ostei_general_vrr_K(3, 0, 5, 0, 1,
707                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
708                             PRIM_INT__f_s_g_s, PRIM_INT__f_s_f_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
709 
710 
711                     ostei_general_vrr_K(4, 0, 4, 0, 2,
712                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
713                             PRIM_INT__g_s_f_s, PRIM_INT__g_s_d_s, NULL, PRIM_INT__f_s_f_s, NULL, PRIM_INT__g_s_g_s);
714 
715 
716                     VRR_I_h_s_s_s(
717                             PRIM_INT__h_s_s_s,
718                             PRIM_INT__g_s_s_s,
719                             PRIM_INT__f_s_s_s,
720                             P_PA,
721                             a_over_p,
722                             aop_PQ,
723                             one_over_2p,
724                             7);
725 
726 
727                     ostei_general_vrr_K(5, 0, 1, 0, 5,
728                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
729                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
730 
731 
732                     ostei_general_vrr_K(5, 0, 2, 0, 4,
733                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
734                             PRIM_INT__h_s_p_s, PRIM_INT__h_s_s_s, NULL, PRIM_INT__g_s_p_s, NULL, PRIM_INT__h_s_d_s);
735 
736 
737                     ostei_general_vrr_K(5, 0, 3, 0, 3,
738                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
739                             PRIM_INT__h_s_d_s, PRIM_INT__h_s_p_s, NULL, PRIM_INT__g_s_d_s, NULL, PRIM_INT__h_s_f_s);
740 
741 
742                     ostei_general_vrr_K(4, 0, 5, 0, 1,
743                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
744                             PRIM_INT__g_s_g_s, PRIM_INT__g_s_f_s, NULL, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_h_s);
745 
746 
747                     ostei_general_vrr_K(5, 0, 4, 0, 2,
748                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
749                             PRIM_INT__h_s_f_s, PRIM_INT__h_s_d_s, NULL, PRIM_INT__g_s_f_s, NULL, PRIM_INT__h_s_g_s);
750 
751 
752                     ostei_general_vrr1_I(6, 6,
753                             one_over_2p, a_over_p, aop_PQ, P_PA,
754                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
755 
756 
757                     ostei_general_vrr_K(6, 0, 1, 0, 5,
758                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
759                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
760 
761 
762                     ostei_general_vrr_K(6, 0, 2, 0, 4,
763                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
764                             PRIM_INT__i_s_p_s, PRIM_INT__i_s_s_s, NULL, PRIM_INT__h_s_p_s, NULL, PRIM_INT__i_s_d_s);
765 
766 
767                     ostei_general_vrr_K(6, 0, 3, 0, 3,
768                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
769                             PRIM_INT__i_s_d_s, PRIM_INT__i_s_p_s, NULL, PRIM_INT__h_s_d_s, NULL, PRIM_INT__i_s_f_s);
770 
771 
772                     ostei_general_vrr_K(5, 0, 5, 0, 1,
773                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
774                             PRIM_INT__h_s_g_s, PRIM_INT__h_s_f_s, NULL, PRIM_INT__g_s_g_s, NULL, PRIM_INT__h_s_h_s);
775 
776 
777                     ostei_general_vrr_K(6, 0, 4, 0, 2,
778                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
779                             PRIM_INT__i_s_f_s, PRIM_INT__i_s_d_s, NULL, PRIM_INT__h_s_f_s, NULL, PRIM_INT__i_s_g_s);
780 
781 
782                     ostei_general_vrr_K(6, 0, 5, 0, 1,
783                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
784                             PRIM_INT__i_s_g_s, PRIM_INT__i_s_f_s, NULL, PRIM_INT__h_s_g_s, NULL, PRIM_INT__i_s_h_s);
785 
786 
787 
788 
789                     ////////////////////////////////////
790                     // Accumulate contracted integrals
791                     ////////////////////////////////////
792                     if(lastoffset == 0)
793                     {
794                         contract_all(100, PRIM_INT__f_s_f_s, PRIM_PTR_INT__f_s_f_s);
795                         contract_all(150, PRIM_INT__f_s_g_s, PRIM_PTR_INT__f_s_g_s);
796                         contract_all(210, PRIM_INT__f_s_h_s, PRIM_PTR_INT__f_s_h_s);
797                         contract_all(150, PRIM_INT__g_s_f_s, PRIM_PTR_INT__g_s_f_s);
798                         contract_all(225, PRIM_INT__g_s_g_s, PRIM_PTR_INT__g_s_g_s);
799                         contract_all(315, PRIM_INT__g_s_h_s, PRIM_PTR_INT__g_s_h_s);
800                         contract_all(210, PRIM_INT__h_s_f_s, PRIM_PTR_INT__h_s_f_s);
801                         contract_all(315, PRIM_INT__h_s_g_s, PRIM_PTR_INT__h_s_g_s);
802                         contract_all(441, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
803                         contract_all(280, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
804                         contract_all(420, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
805                         contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
806                     }
807                     else
808                     {
809                         contract(100, shelloffsets, PRIM_INT__f_s_f_s, PRIM_PTR_INT__f_s_f_s);
810                         contract(150, shelloffsets, PRIM_INT__f_s_g_s, PRIM_PTR_INT__f_s_g_s);
811                         contract(210, shelloffsets, PRIM_INT__f_s_h_s, PRIM_PTR_INT__f_s_h_s);
812                         contract(150, shelloffsets, PRIM_INT__g_s_f_s, PRIM_PTR_INT__g_s_f_s);
813                         contract(225, shelloffsets, PRIM_INT__g_s_g_s, PRIM_PTR_INT__g_s_g_s);
814                         contract(315, shelloffsets, PRIM_INT__g_s_h_s, PRIM_PTR_INT__g_s_h_s);
815                         contract(210, shelloffsets, PRIM_INT__h_s_f_s, PRIM_PTR_INT__h_s_f_s);
816                         contract(315, shelloffsets, PRIM_INT__h_s_g_s, PRIM_PTR_INT__h_s_g_s);
817                         contract(441, shelloffsets, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
818                         contract(280, shelloffsets, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
819                         contract(420, shelloffsets, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
820                         contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
821                         PRIM_PTR_INT__f_s_f_s += lastoffset*100;
822                         PRIM_PTR_INT__f_s_g_s += lastoffset*150;
823                         PRIM_PTR_INT__f_s_h_s += lastoffset*210;
824                         PRIM_PTR_INT__g_s_f_s += lastoffset*150;
825                         PRIM_PTR_INT__g_s_g_s += lastoffset*225;
826                         PRIM_PTR_INT__g_s_h_s += lastoffset*315;
827                         PRIM_PTR_INT__h_s_f_s += lastoffset*210;
828                         PRIM_PTR_INT__h_s_g_s += lastoffset*315;
829                         PRIM_PTR_INT__h_s_h_s += lastoffset*441;
830                         PRIM_PTR_INT__i_s_f_s += lastoffset*280;
831                         PRIM_PTR_INT__i_s_g_s += lastoffset*420;
832                         PRIM_PTR_INT__i_s_h_s += lastoffset*588;
833                     }
834 
835                 }  // close loop over j
836             }  // close loop over i
837 
838             //Advance to the next batch
839             jstart = SIMINT_SIMD_ROUND(jend);
840 
841             //////////////////////////////////////////////
842             // Contracted integrals: Horizontal recurrance
843             //////////////////////////////////////////////
844 
845 
846             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
847 
848 
849             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
850             {
851                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
852 
853                 // set up HRR pointers
854                 double const * restrict HRR_INT__f_s_f_s = INT__f_s_f_s + abcd * 100;
855                 double const * restrict HRR_INT__f_s_g_s = INT__f_s_g_s + abcd * 150;
856                 double const * restrict HRR_INT__f_s_h_s = INT__f_s_h_s + abcd * 210;
857                 double const * restrict HRR_INT__g_s_f_s = INT__g_s_f_s + abcd * 150;
858                 double const * restrict HRR_INT__g_s_g_s = INT__g_s_g_s + abcd * 225;
859                 double const * restrict HRR_INT__g_s_h_s = INT__g_s_h_s + abcd * 315;
860                 double const * restrict HRR_INT__h_s_f_s = INT__h_s_f_s + abcd * 210;
861                 double const * restrict HRR_INT__h_s_g_s = INT__h_s_g_s + abcd * 315;
862                 double const * restrict HRR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
863                 double const * restrict HRR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
864                 double const * restrict HRR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
865                 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
866                 double * restrict HRR_INT__f_f_f_d = INT__f_f_f_d + real_abcd * 6000;
867 
868                 // form INT__f_p_f_s
869                 HRR_J_f_p(
870                     HRR_INT__f_p_f_s,
871                     HRR_INT__f_s_f_s,
872                     HRR_INT__g_s_f_s,
873                     hAB, 10);
874 
875                 // form INT__f_p_g_s
876                 HRR_J_f_p(
877                     HRR_INT__f_p_g_s,
878                     HRR_INT__f_s_g_s,
879                     HRR_INT__g_s_g_s,
880                     hAB, 15);
881 
882                 // form INT__f_p_h_s
883                 HRR_J_f_p(
884                     HRR_INT__f_p_h_s,
885                     HRR_INT__f_s_h_s,
886                     HRR_INT__g_s_h_s,
887                     hAB, 21);
888 
889                 // form INT__g_p_f_s
890                 HRR_J_g_p(
891                     HRR_INT__g_p_f_s,
892                     HRR_INT__g_s_f_s,
893                     HRR_INT__h_s_f_s,
894                     hAB, 10);
895 
896                 // form INT__g_p_g_s
897                 HRR_J_g_p(
898                     HRR_INT__g_p_g_s,
899                     HRR_INT__g_s_g_s,
900                     HRR_INT__h_s_g_s,
901                     hAB, 15);
902 
903                 // form INT__g_p_h_s
904                 HRR_J_g_p(
905                     HRR_INT__g_p_h_s,
906                     HRR_INT__g_s_h_s,
907                     HRR_INT__h_s_h_s,
908                     hAB, 21);
909 
910                 // form INT__h_p_f_s
911                 ostei_general_hrr_J(5, 1, 3, 0, hAB, HRR_INT__i_s_f_s, HRR_INT__h_s_f_s, HRR_INT__h_p_f_s);
912 
913                 // form INT__h_p_g_s
914                 ostei_general_hrr_J(5, 1, 4, 0, hAB, HRR_INT__i_s_g_s, HRR_INT__h_s_g_s, HRR_INT__h_p_g_s);
915 
916                 // form INT__h_p_h_s
917                 ostei_general_hrr_J(5, 1, 5, 0, hAB, HRR_INT__i_s_h_s, HRR_INT__h_s_h_s, HRR_INT__h_p_h_s);
918 
919                 // form INT__f_d_f_s
920                 HRR_J_f_d(
921                     HRR_INT__f_d_f_s,
922                     HRR_INT__f_p_f_s,
923                     HRR_INT__g_p_f_s,
924                     hAB, 10);
925 
926                 // form INT__f_d_g_s
927                 HRR_J_f_d(
928                     HRR_INT__f_d_g_s,
929                     HRR_INT__f_p_g_s,
930                     HRR_INT__g_p_g_s,
931                     hAB, 15);
932 
933                 // form INT__f_d_h_s
934                 HRR_J_f_d(
935                     HRR_INT__f_d_h_s,
936                     HRR_INT__f_p_h_s,
937                     HRR_INT__g_p_h_s,
938                     hAB, 21);
939 
940                 // form INT__g_d_f_s
941                 ostei_general_hrr_J(4, 2, 3, 0, hAB, HRR_INT__h_p_f_s, HRR_INT__g_p_f_s, HRR_INT__g_d_f_s);
942 
943                 // form INT__g_d_g_s
944                 ostei_general_hrr_J(4, 2, 4, 0, hAB, HRR_INT__h_p_g_s, HRR_INT__g_p_g_s, HRR_INT__g_d_g_s);
945 
946                 // form INT__g_d_h_s
947                 ostei_general_hrr_J(4, 2, 5, 0, hAB, HRR_INT__h_p_h_s, HRR_INT__g_p_h_s, HRR_INT__g_d_h_s);
948 
949                 // form INT__f_f_f_s
950                 ostei_general_hrr_J(3, 3, 3, 0, hAB, HRR_INT__g_d_f_s, HRR_INT__f_d_f_s, HRR_INT__f_f_f_s);
951 
952                 // form INT__f_f_g_s
953                 ostei_general_hrr_J(3, 3, 4, 0, hAB, HRR_INT__g_d_g_s, HRR_INT__f_d_g_s, HRR_INT__f_f_g_s);
954 
955                 // form INT__f_f_h_s
956                 ostei_general_hrr_J(3, 3, 5, 0, hAB, HRR_INT__g_d_h_s, HRR_INT__f_d_h_s, HRR_INT__f_f_h_s);
957 
958                 // form INT__f_f_f_p
959                 HRR_L_f_p(
960                     HRR_INT__f_f_f_p,
961                     HRR_INT__f_f_f_s,
962                     HRR_INT__f_f_g_s,
963                     hCD, 100);
964 
965                 // form INT__f_f_g_p
966                 HRR_L_g_p(
967                     HRR_INT__f_f_g_p,
968                     HRR_INT__f_f_g_s,
969                     HRR_INT__f_f_h_s,
970                     hCD, 100);
971 
972                 // form INT__f_f_f_d
973                 HRR_L_f_d(
974                     HRR_INT__f_f_f_d,
975                     HRR_INT__f_f_f_p,
976                     HRR_INT__f_f_g_p,
977                     hCD, 100);
978 
979 
980             }  // close HRR loop
981 
982 
983         }   // close loop cdbatch
984 
985         istart = iend;
986     }  // close loop over ab
987 
988     return P.nshell12_clip * Q.nshell12_clip;
989 }
990 
991