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_i_p_g_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_p_g_f)8 int ostei_i_p_g_f(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__i_p_g_f)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_p_g_f);
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__i_s_g_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__i_s_h_s = work + (SIMINT_NSHELL_SIMD * 420);
31     double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 1008);
32     double * const INT__i_s_k_s = work + (SIMINT_NSHELL_SIMD * 1792);
33     double * const INT__k_s_g_s = work + (SIMINT_NSHELL_SIMD * 2800);
34     double * const INT__k_s_h_s = work + (SIMINT_NSHELL_SIMD * 3340);
35     double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 4096);
36     double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 5104);
37     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*6400);
38     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 15;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 36;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 78;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 141;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 249;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 327;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 453;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 669;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 969;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 1089;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 1299;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 1659;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 2159;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 2759;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 2924;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 3239;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 3779;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 4529;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 5429;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 6374;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 6584;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 7025;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 7781;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 8831;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 10091;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 11414;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 12590;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 12842;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 13430;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 14438;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 15838;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 17518;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 19282;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 20850;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 21858;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 22146;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 22902;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 24198;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 25998;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 28158;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 30426;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 32442;
81     double * const hrrwork = (double *)(primwork + 33738);
82     double * const HRR_INT__i_p_g_s = hrrwork + 0;
83     double * const HRR_INT__i_p_g_p = hrrwork + 1260;
84     double * const HRR_INT__i_p_g_d = hrrwork + 5040;
85     double * const HRR_INT__i_p_h_s = hrrwork + 12600;
86     double * const HRR_INT__i_p_h_p = hrrwork + 14364;
87     double * const HRR_INT__i_p_h_d = hrrwork + 19656;
88     double * const HRR_INT__i_p_i_s = hrrwork + 30240;
89     double * const HRR_INT__i_p_i_p = hrrwork + 32592;
90     double * const HRR_INT__i_p_k_s = hrrwork + 39648;
91 
92 
93     // Create constants
94     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
95     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
96     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
97     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
98     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
99     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
100     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
101     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
102 
103 
104     ////////////////////////////////////////
105     // Loop over shells and primitives
106     ////////////////////////////////////////
107 
108     real_abcd = 0;
109     istart = 0;
110     for(ab = 0; ab < P.nshell12_clip; ++ab)
111     {
112         const int iend = istart + P.nprim12[ab];
113 
114         cd = 0;
115         jstart = 0;
116 
117         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
118         {
119             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
120             int jend = jstart;
121             for(i = 0; i < nshellbatch; i++)
122                 jend += Q.nprim12[cd+i];
123 
124             // Clear the beginning of the workspace (where we are accumulating integrals)
125             memset(work, 0, SIMINT_NSHELL_SIMD * 6400 * sizeof(double));
126             abcd = 0;
127 
128 
129             for(i = istart; i < iend; ++i)
130             {
131                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
132 
133                 if(check_screen)
134                 {
135                     // Skip this whole thing if always insignificant
136                     if((P.screen[i] * Q.screen_max) < screen_tol)
137                         continue;
138                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
139                 }
140 
141                 icd = 0;
142                 iprimcd = 0;
143                 nprim_icd = Q.nprim12[cd];
144                 double * restrict PRIM_PTR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
145                 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
146                 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
147                 double * restrict PRIM_PTR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
148                 double * restrict PRIM_PTR_INT__k_s_g_s = INT__k_s_g_s + abcd * 540;
149                 double * restrict PRIM_PTR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
150                 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
151                 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
152 
153 
154 
155                 // Load these one per loop over i
156                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
157                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
158                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
159 
160                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
161 
162                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
163                 {
164                     // calculate the shell offsets
165                     // these are the offset from the shell pointed to by cd
166                     // for each element
167                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
168                     int lastoffset = 0;
169                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
170 
171                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
172                     {
173                         // Handle if the first element of the vector is a new shell
174                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
175                         {
176                             nprim_icd += Q.nprim12[cd + (++icd)];
177                             PRIM_PTR_INT__i_s_g_s += 420;
178                             PRIM_PTR_INT__i_s_h_s += 588;
179                             PRIM_PTR_INT__i_s_i_s += 784;
180                             PRIM_PTR_INT__i_s_k_s += 1008;
181                             PRIM_PTR_INT__k_s_g_s += 540;
182                             PRIM_PTR_INT__k_s_h_s += 756;
183                             PRIM_PTR_INT__k_s_i_s += 1008;
184                             PRIM_PTR_INT__k_s_k_s += 1296;
185                         }
186                         iprimcd++;
187                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
188                         {
189                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
190                             {
191                                 shelloffsets[n] = shelloffsets[n-1] + 1;
192                                 lastoffset++;
193                                 nprim_icd += Q.nprim12[cd + (++icd)];
194                             }
195                             else
196                                 shelloffsets[n] = shelloffsets[n-1];
197                             iprimcd++;
198                         }
199                     }
200                     else
201                         iprimcd += SIMINT_SIMD_LEN;
202 
203                     // Do we have to compute this vector (or has it been screened out)?
204                     // (not_screened != 0 means we have to do this vector)
205                     if(check_screen)
206                     {
207                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
208                         if(vmax < screen_tol)
209                         {
210                             PRIM_PTR_INT__i_s_g_s += lastoffset*420;
211                             PRIM_PTR_INT__i_s_h_s += lastoffset*588;
212                             PRIM_PTR_INT__i_s_i_s += lastoffset*784;
213                             PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
214                             PRIM_PTR_INT__k_s_g_s += lastoffset*540;
215                             PRIM_PTR_INT__k_s_h_s += lastoffset*756;
216                             PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
217                             PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
218                             continue;
219                         }
220                     }
221 
222                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
223                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
224                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
225                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
226 
227 
228                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
229                     SIMINT_DBLTYPE PQ[3];
230                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
231                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
232                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
233                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
234                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
235                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
236 
237                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
238                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
239                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
240                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
241                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
242                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
243                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
244 
245                     // NOTE: Minus sign!
246                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
247                     SIMINT_DBLTYPE aop_PQ[3];
248                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
249                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
250                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
251 
252                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
253                     SIMINT_DBLTYPE aoq_PQ[3];
254                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
255                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
256                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
257                     // Put a minus sign here so we don't have to in RR routines
258                     a_over_q = SIMINT_NEG(a_over_q);
259 
260 
261                     //////////////////////////////////////////////
262                     // Fjt function section
263                     // Maximum v value: 14
264                     //////////////////////////////////////////////
265                     // The parameter to the Fjt function
266                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
267 
268 
269                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
270 
271 
272                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 14);
273                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
274                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
275                     for(n = 0; n <= 14; n++)
276                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
277 
278                     //////////////////////////////////////////////
279                     // Primitive integrals: Vertical recurrance
280                     //////////////////////////////////////////////
281 
282                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
283                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
284                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
285                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
286                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
287                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
288                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
289                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
290                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
291                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
292                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
293                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
294                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
295                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
296                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
297                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
298                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
299                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
300                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
301 
302 
303 
304                     // Forming PRIM_INT__p_s_s_s[14 * 3];
305                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
306                     {
307 
308                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
309                         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]);
310 
311                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
312                         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]);
313 
314                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
315                         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]);
316 
317                     }
318 
319 
320 
321                     // Forming PRIM_INT__d_s_s_s[13 * 6];
322                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
323                     {
324 
325                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
326                         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]);
327                         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]);
328 
329                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
330                         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]);
331 
332                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
333                         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]);
334 
335                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
336                         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]);
337                         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]);
338 
339                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
340                         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]);
341 
342                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
343                         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]);
344                         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]);
345 
346                     }
347 
348 
349 
350                     // Forming PRIM_INT__f_s_s_s[12 * 10];
351                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
352                     {
353 
354                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
355                         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]);
356                         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]);
357 
358                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
359                         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]);
360 
361                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
362                         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]);
363 
364                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
365                         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]);
366 
367                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
368                         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]);
369 
370                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
371                         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]);
372 
373                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
374                         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]);
375                         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]);
376 
377                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
378                         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]);
379 
380                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
381                         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]);
382 
383                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
384                         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]);
385                         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]);
386 
387                     }
388 
389 
390                     VRR_I_g_s_s_s(
391                             PRIM_INT__g_s_s_s,
392                             PRIM_INT__f_s_s_s,
393                             PRIM_INT__d_s_s_s,
394                             P_PA,
395                             a_over_p,
396                             aop_PQ,
397                             one_over_2p,
398                             11);
399 
400 
401                     VRR_I_h_s_s_s(
402                             PRIM_INT__h_s_s_s,
403                             PRIM_INT__g_s_s_s,
404                             PRIM_INT__f_s_s_s,
405                             P_PA,
406                             a_over_p,
407                             aop_PQ,
408                             one_over_2p,
409                             10);
410 
411 
412                     ostei_general_vrr1_I(6, 9,
413                             one_over_2p, a_over_p, aop_PQ, P_PA,
414                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
415 
416 
417                     ostei_general_vrr_K(6, 0, 1, 0, 7,
418                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
419                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
420 
421 
422                     ostei_general_vrr_K(5, 0, 1, 0, 7,
423                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
424                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
425 
426 
427                     ostei_general_vrr_K(6, 0, 2, 0, 6,
428                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
429                             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);
430 
431 
432                     VRR_K_g_s_p_s(
433                             PRIM_INT__g_s_p_s,
434                             PRIM_INT__g_s_s_s,
435                             PRIM_INT__f_s_s_s,
436                             Q_PA,
437                             aoq_PQ,
438                             one_over_2pq,
439                             7);
440 
441 
442                     ostei_general_vrr_K(5, 0, 2, 0, 6,
443                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
444                             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);
445 
446 
447                     ostei_general_vrr_K(6, 0, 3, 0, 5,
448                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
449                             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);
450 
451 
452                     VRR_K_f_s_p_s(
453                             PRIM_INT__f_s_p_s,
454                             PRIM_INT__f_s_s_s,
455                             PRIM_INT__d_s_s_s,
456                             Q_PA,
457                             aoq_PQ,
458                             one_over_2pq,
459                             7);
460 
461 
462                     ostei_general_vrr_K(4, 0, 2, 0, 6,
463                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
464                             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);
465 
466 
467                     ostei_general_vrr_K(5, 0, 3, 0, 5,
468                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
469                             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);
470 
471 
472                     ostei_general_vrr_K(6, 0, 4, 0, 4,
473                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
474                             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);
475 
476 
477 
478                     // Forming PRIM_INT__d_s_p_s[7 * 18];
479                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
480                     {
481 
482                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
483                         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]);
484                         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]);
485 
486                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
487                         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]);
488 
489                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
490                         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]);
491 
492                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
493                         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]);
494                         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]);
495 
496                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
497                         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]);
498                         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]);
499 
500                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
501                         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]);
502 
503                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
504                         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]);
505                         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]);
506 
507                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
508                         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]);
509 
510                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
511                         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]);
512                         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]);
513 
514                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
515                         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]);
516 
517                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
518                         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]);
519                         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]);
520 
521                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
522                         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]);
523 
524                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
525                         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]);
526 
527                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
528                         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]);
529                         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]);
530 
531                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
532                         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]);
533                         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]);
534 
535                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
536                         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]);
537 
538                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
539                         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]);
540 
541                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
542                         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]);
543                         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]);
544 
545                     }
546 
547 
548                     VRR_K_f_s_d_s(
549                             PRIM_INT__f_s_d_s,
550                             PRIM_INT__f_s_p_s,
551                             PRIM_INT__f_s_s_s,
552                             PRIM_INT__d_s_p_s,
553                             Q_PA,
554                             a_over_q,
555                             aoq_PQ,
556                             one_over_2pq,
557                             one_over_2q,
558                             6);
559 
560 
561                     ostei_general_vrr_K(4, 0, 3, 0, 5,
562                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
563                             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);
564 
565 
566                     ostei_general_vrr_K(5, 0, 4, 0, 4,
567                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
568                             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);
569 
570 
571                     ostei_general_vrr_K(6, 0, 5, 0, 3,
572                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
573                             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);
574 
575 
576                     ostei_general_vrr1_I(7, 8,
577                             one_over_2p, a_over_p, aop_PQ, P_PA,
578                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
579 
580 
581                     ostei_general_vrr_K(7, 0, 1, 0, 7,
582                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
583                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
584 
585 
586                     ostei_general_vrr_K(7, 0, 2, 0, 6,
587                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
588                             PRIM_INT__k_s_p_s, PRIM_INT__k_s_s_s, NULL, PRIM_INT__i_s_p_s, NULL, PRIM_INT__k_s_d_s);
589 
590 
591                     ostei_general_vrr_K(7, 0, 3, 0, 5,
592                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
593                             PRIM_INT__k_s_d_s, PRIM_INT__k_s_p_s, NULL, PRIM_INT__i_s_d_s, NULL, PRIM_INT__k_s_f_s);
594 
595 
596                     ostei_general_vrr_K(7, 0, 4, 0, 4,
597                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
598                             PRIM_INT__k_s_f_s, PRIM_INT__k_s_d_s, NULL, PRIM_INT__i_s_f_s, NULL, PRIM_INT__k_s_g_s);
599 
600 
601 
602                     // Forming PRIM_INT__p_s_p_s[7 * 9];
603                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
604                     {
605 
606                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
607                         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]);
608                         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]);
609 
610                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
611                         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]);
612 
613                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
614                         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]);
615 
616                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
617                         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]);
618 
619                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
620                         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]);
621                         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]);
622 
623                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
624                         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]);
625 
626                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
627                         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]);
628 
629                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
630                         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]);
631 
632                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
633                         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]);
634                         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]);
635 
636                     }
637 
638 
639                     VRR_K_d_s_d_s(
640                             PRIM_INT__d_s_d_s,
641                             PRIM_INT__d_s_p_s,
642                             PRIM_INT__d_s_s_s,
643                             PRIM_INT__p_s_p_s,
644                             Q_PA,
645                             a_over_q,
646                             aoq_PQ,
647                             one_over_2pq,
648                             one_over_2q,
649                             6);
650 
651 
652                     ostei_general_vrr_K(3, 0, 3, 0, 5,
653                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
654                             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);
655 
656 
657                     ostei_general_vrr_K(4, 0, 4, 0, 4,
658                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
659                             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);
660 
661 
662                     ostei_general_vrr_K(5, 0, 5, 0, 3,
663                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
664                             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);
665 
666 
667                     ostei_general_vrr_K(6, 0, 6, 0, 2,
668                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
669                             PRIM_INT__i_s_h_s, PRIM_INT__i_s_g_s, NULL, PRIM_INT__h_s_h_s, NULL, PRIM_INT__i_s_i_s);
670 
671 
672                     ostei_general_vrr_K(7, 0, 5, 0, 3,
673                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
674                             PRIM_INT__k_s_g_s, PRIM_INT__k_s_f_s, NULL, PRIM_INT__i_s_g_s, NULL, PRIM_INT__k_s_h_s);
675 
676 
677 
678                     // Forming PRIM_INT__s_s_p_s[7 * 3];
679                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
680                     {
681 
682                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
683                         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]);
684 
685                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
686                         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]);
687 
688                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
689                         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]);
690 
691                     }
692 
693 
694 
695                     // Forming PRIM_INT__p_s_d_s[6 * 18];
696                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
697                     {
698 
699                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
700                         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]);
701                         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]);
702                         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]);
703 
704                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
705                         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]);
706                         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]);
707 
708                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
709                         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]);
710                         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]);
711 
712                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
713                         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]);
714                         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]);
715 
716                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
717                         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]);
718                         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]);
719                         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]);
720 
721                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
722                         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]);
723                         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]);
724 
725                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
726                         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]);
727                         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]);
728 
729                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
730                         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]);
731                         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]);
732 
733                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
734                         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]);
735                         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]);
736                         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]);
737 
738                     }
739 
740 
741                     VRR_K_d_s_f_s(
742                             PRIM_INT__d_s_f_s,
743                             PRIM_INT__d_s_d_s,
744                             PRIM_INT__d_s_p_s,
745                             PRIM_INT__p_s_d_s,
746                             Q_PA,
747                             a_over_q,
748                             aoq_PQ,
749                             one_over_2pq,
750                             one_over_2q,
751                             5);
752 
753 
754                     ostei_general_vrr_K(3, 0, 4, 0, 4,
755                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
756                             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);
757 
758 
759                     ostei_general_vrr_K(4, 0, 5, 0, 3,
760                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
761                             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);
762 
763 
764                     ostei_general_vrr_K(5, 0, 6, 0, 2,
765                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
766                             PRIM_INT__h_s_h_s, PRIM_INT__h_s_g_s, NULL, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_i_s);
767 
768 
769                     ostei_general_vrr_K(6, 0, 7, 0, 1,
770                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
771                             PRIM_INT__i_s_i_s, PRIM_INT__i_s_h_s, NULL, PRIM_INT__h_s_i_s, NULL, PRIM_INT__i_s_k_s);
772 
773 
774                     ostei_general_vrr_K(7, 0, 6, 0, 2,
775                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
776                             PRIM_INT__k_s_h_s, PRIM_INT__k_s_g_s, NULL, PRIM_INT__i_s_h_s, NULL, PRIM_INT__k_s_i_s);
777 
778 
779                     ostei_general_vrr_K(7, 0, 7, 0, 1,
780                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
781                             PRIM_INT__k_s_i_s, PRIM_INT__k_s_h_s, NULL, PRIM_INT__i_s_i_s, NULL, PRIM_INT__k_s_k_s);
782 
783 
784 
785 
786                     ////////////////////////////////////
787                     // Accumulate contracted integrals
788                     ////////////////////////////////////
789                     if(lastoffset == 0)
790                     {
791                         contract_all(420, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
792                         contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
793                         contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
794                         contract_all(1008, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
795                         contract_all(540, PRIM_INT__k_s_g_s, PRIM_PTR_INT__k_s_g_s);
796                         contract_all(756, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
797                         contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
798                         contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
799                     }
800                     else
801                     {
802                         contract(420, shelloffsets, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
803                         contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
804                         contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
805                         contract(1008, shelloffsets, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
806                         contract(540, shelloffsets, PRIM_INT__k_s_g_s, PRIM_PTR_INT__k_s_g_s);
807                         contract(756, shelloffsets, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
808                         contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
809                         contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
810                         PRIM_PTR_INT__i_s_g_s += lastoffset*420;
811                         PRIM_PTR_INT__i_s_h_s += lastoffset*588;
812                         PRIM_PTR_INT__i_s_i_s += lastoffset*784;
813                         PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
814                         PRIM_PTR_INT__k_s_g_s += lastoffset*540;
815                         PRIM_PTR_INT__k_s_h_s += lastoffset*756;
816                         PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
817                         PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
818                     }
819 
820                 }  // close loop over j
821             }  // close loop over i
822 
823             //Advance to the next batch
824             jstart = SIMINT_SIMD_ROUND(jend);
825 
826             //////////////////////////////////////////////
827             // Contracted integrals: Horizontal recurrance
828             //////////////////////////////////////////////
829 
830 
831             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
832 
833 
834             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
835             {
836                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
837 
838                 // set up HRR pointers
839                 double const * restrict HRR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
840                 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
841                 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
842                 double const * restrict HRR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
843                 double const * restrict HRR_INT__k_s_g_s = INT__k_s_g_s + abcd * 540;
844                 double const * restrict HRR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
845                 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
846                 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
847                 double * restrict HRR_INT__i_p_g_f = INT__i_p_g_f + real_abcd * 12600;
848 
849                 // form INT__i_p_g_s
850                 ostei_general_hrr_J(6, 1, 4, 0, hAB, HRR_INT__k_s_g_s, HRR_INT__i_s_g_s, HRR_INT__i_p_g_s);
851 
852                 // form INT__i_p_h_s
853                 ostei_general_hrr_J(6, 1, 5, 0, hAB, HRR_INT__k_s_h_s, HRR_INT__i_s_h_s, HRR_INT__i_p_h_s);
854 
855                 // form INT__i_p_i_s
856                 ostei_general_hrr_J(6, 1, 6, 0, hAB, HRR_INT__k_s_i_s, HRR_INT__i_s_i_s, HRR_INT__i_p_i_s);
857 
858                 // form INT__i_p_k_s
859                 ostei_general_hrr_J(6, 1, 7, 0, hAB, HRR_INT__k_s_k_s, HRR_INT__i_s_k_s, HRR_INT__i_p_k_s);
860 
861                 // form INT__i_p_g_p
862                 HRR_L_g_p(
863                     HRR_INT__i_p_g_p,
864                     HRR_INT__i_p_g_s,
865                     HRR_INT__i_p_h_s,
866                     hCD, 84);
867 
868                 // form INT__i_p_h_p
869                 ostei_general_hrr_L(6, 1, 5, 1, hCD, HRR_INT__i_p_i_s, HRR_INT__i_p_h_s, HRR_INT__i_p_h_p);
870 
871                 // form INT__i_p_i_p
872                 ostei_general_hrr_L(6, 1, 6, 1, hCD, HRR_INT__i_p_k_s, HRR_INT__i_p_i_s, HRR_INT__i_p_i_p);
873 
874                 // form INT__i_p_g_d
875                 ostei_general_hrr_L(6, 1, 4, 2, hCD, HRR_INT__i_p_h_p, HRR_INT__i_p_g_p, HRR_INT__i_p_g_d);
876 
877                 // form INT__i_p_h_d
878                 ostei_general_hrr_L(6, 1, 5, 2, hCD, HRR_INT__i_p_i_p, HRR_INT__i_p_h_p, HRR_INT__i_p_h_d);
879 
880                 // form INT__i_p_g_f
881                 ostei_general_hrr_L(6, 1, 4, 3, hCD, HRR_INT__i_p_h_d, HRR_INT__i_p_g_d, HRR_INT__i_p_g_f);
882 
883 
884             }  // close HRR loop
885 
886 
887         }   // close loop cdbatch
888 
889         istart = iend;
890     }  // close loop over ab
891 
892     return P.nshell12_clip * Q.nshell12_clip;
893 }
894 
ostei_p_i_g_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__p_i_g_f)895 int ostei_p_i_g_f(struct simint_multi_shellpair const P,
896                   struct simint_multi_shellpair const Q,
897                   double screen_tol,
898                   double * const restrict work,
899                   double * const restrict INT__p_i_g_f)
900 {
901     double P_AB[3*P.nshell12];
902     struct simint_multi_shellpair P_tmp = P;
903     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
904     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
905     P_tmp.AB_x = P_AB;
906     P_tmp.AB_y = P_AB + P.nshell12;
907     P_tmp.AB_z = P_AB + 2*P.nshell12;
908 
909     for(int i = 0; i < P.nshell12; i++)
910     {
911         P_tmp.AB_x[i] = -P.AB_x[i];
912         P_tmp.AB_y[i] = -P.AB_y[i];
913         P_tmp.AB_z[i] = -P.AB_z[i];
914     }
915 
916     int ret = ostei_i_p_g_f(P_tmp, Q, screen_tol, work, INT__p_i_g_f);
917     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
918 
919     for(int q = 0; q < ret; q++)
920     {
921         int idx = 0;
922         for(int a = 0; a < 3; ++a)
923         for(int b = 0; b < 28; ++b)
924         for(int c = 0; c < 15; ++c)
925         for(int d = 0; d < 10; ++d)
926             buffer[idx++] = INT__p_i_g_f[q*12600+b*450+a*150+c*10+d];
927 
928         memcpy(INT__p_i_g_f+q*12600, buffer, 12600*sizeof(double));
929     }
930 
931     return ret;
932 }
933 
ostei_i_p_f_g(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_p_f_g)934 int ostei_i_p_f_g(struct simint_multi_shellpair const P,
935                   struct simint_multi_shellpair const Q,
936                   double screen_tol,
937                   double * const restrict work,
938                   double * const restrict INT__i_p_f_g)
939 {
940     double Q_AB[3*Q.nshell12];
941     struct simint_multi_shellpair Q_tmp = Q;
942     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
943     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
944     Q_tmp.AB_x = Q_AB;
945     Q_tmp.AB_y = Q_AB + Q.nshell12;
946     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
947 
948     for(int i = 0; i < Q.nshell12; i++)
949     {
950         Q_tmp.AB_x[i] = -Q.AB_x[i];
951         Q_tmp.AB_y[i] = -Q.AB_y[i];
952         Q_tmp.AB_z[i] = -Q.AB_z[i];
953     }
954 
955     int ret = ostei_i_p_g_f(P, Q_tmp, screen_tol, work, INT__i_p_f_g);
956     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
957 
958     for(int q = 0; q < ret; q++)
959     {
960         int idx = 0;
961         for(int a = 0; a < 28; ++a)
962         for(int b = 0; b < 3; ++b)
963         for(int c = 0; c < 10; ++c)
964         for(int d = 0; d < 15; ++d)
965             buffer[idx++] = INT__i_p_f_g[q*12600+a*450+b*150+d*10+c];
966 
967         memcpy(INT__i_p_f_g+q*12600, buffer, 12600*sizeof(double));
968     }
969 
970     return ret;
971 }
972 
ostei_p_i_f_g(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__p_i_f_g)973 int ostei_p_i_f_g(struct simint_multi_shellpair const P,
974                   struct simint_multi_shellpair const Q,
975                   double screen_tol,
976                   double * const restrict work,
977                   double * const restrict INT__p_i_f_g)
978 {
979     double P_AB[3*P.nshell12];
980     struct simint_multi_shellpair P_tmp = P;
981     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
982     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
983     P_tmp.AB_x = P_AB;
984     P_tmp.AB_y = P_AB + P.nshell12;
985     P_tmp.AB_z = P_AB + 2*P.nshell12;
986 
987     for(int i = 0; i < P.nshell12; i++)
988     {
989         P_tmp.AB_x[i] = -P.AB_x[i];
990         P_tmp.AB_y[i] = -P.AB_y[i];
991         P_tmp.AB_z[i] = -P.AB_z[i];
992     }
993 
994     double Q_AB[3*Q.nshell12];
995     struct simint_multi_shellpair Q_tmp = Q;
996     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
997     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
998     Q_tmp.AB_x = Q_AB;
999     Q_tmp.AB_y = Q_AB + Q.nshell12;
1000     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1001 
1002     for(int i = 0; i < Q.nshell12; i++)
1003     {
1004         Q_tmp.AB_x[i] = -Q.AB_x[i];
1005         Q_tmp.AB_y[i] = -Q.AB_y[i];
1006         Q_tmp.AB_z[i] = -Q.AB_z[i];
1007     }
1008 
1009     int ret = ostei_i_p_g_f(P_tmp, Q_tmp, screen_tol, work, INT__p_i_f_g);
1010     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
1011 
1012     for(int q = 0; q < ret; q++)
1013     {
1014         int idx = 0;
1015         for(int a = 0; a < 3; ++a)
1016         for(int b = 0; b < 28; ++b)
1017         for(int c = 0; c < 10; ++c)
1018         for(int d = 0; d < 15; ++d)
1019             buffer[idx++] = INT__p_i_f_g[q*12600+b*450+a*150+d*10+c];
1020 
1021         memcpy(INT__p_i_f_g+q*12600, buffer, 12600*sizeof(double));
1022     }
1023 
1024     return ret;
1025 }
1026 
1027