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_s_g_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_s_g_g)8 int ostei_i_s_g_g(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_s_g_g)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_s_g_g);
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 ibra;
26 
27     // partition workspace
28     double * const INT__i_s_g_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__i_s_h_s = work + (SIMINT_NSHELL_SIMD * 420);
30     double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 1008);
31     double * const INT__i_s_k_s = work + (SIMINT_NSHELL_SIMD * 1792);
32     double * const INT__i_s_l_s = work + (SIMINT_NSHELL_SIMD * 2800);
33     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*4060);
34     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
35     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 15;
36     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 57;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 135;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 255;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 420;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_i_s = primwork + 630;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_k_s = primwork + 882;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_l_s = primwork + 1170;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 1485;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 1503;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 1557;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 1665;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 1845;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 2115;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_i_s = primwork + 2493;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_k_s = primwork + 2997;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_l_s = primwork + 3645;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 4455;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 4485;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 4575;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 4755;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 5055;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 5505;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_i_s = primwork + 6135;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_k_s = primwork + 6975;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_l_s = primwork + 8055;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 9405;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 9525;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 9765;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 10165;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 10765;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_i_s = primwork + 11605;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_k_s = primwork + 12725;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_l_s = primwork + 14165;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 15965;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 16235;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 16685;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 17360;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 18305;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_k_s = primwork + 19565;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_l_s = primwork + 21185;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 23210;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 23630;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 24260;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 25142;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 26318;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_l_s = primwork + 27830;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 29720;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 30140;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 30728;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 31512;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_l_s = primwork + 32520;
87     double * const hrrwork = (double *)(primwork + 33780);
88     double * const HRR_INT__i_s_g_p = hrrwork + 0;
89     double * const HRR_INT__i_s_g_d = hrrwork + 1260;
90     double * const HRR_INT__i_s_g_f = hrrwork + 3780;
91     double * const HRR_INT__i_s_h_p = hrrwork + 7980;
92     double * const HRR_INT__i_s_h_d = hrrwork + 9744;
93     double * const HRR_INT__i_s_h_f = hrrwork + 13272;
94     double * const HRR_INT__i_s_i_p = hrrwork + 19152;
95     double * const HRR_INT__i_s_i_d = hrrwork + 21504;
96     double * const HRR_INT__i_s_k_p = hrrwork + 26208;
97 
98 
99     // Create constants
100     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
101     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
102     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
103     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
104     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
105     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
106     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
107     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
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 * 4060 * 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__i_s_g_s = INT__i_s_g_s + abcd * 420;
152                 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
153                 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
154                 double * restrict PRIM_PTR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
155                 double * restrict PRIM_PTR_INT__i_s_l_s = INT__i_s_l_s + abcd * 1260;
156 
157 
158 
159                 // Load these one per loop over i
160                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
161                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
162                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
163 
164                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
165 
166                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
167                 {
168                     // calculate the shell offsets
169                     // these are the offset from the shell pointed to by cd
170                     // for each element
171                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
172                     int lastoffset = 0;
173                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
174 
175                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
176                     {
177                         // Handle if the first element of the vector is a new shell
178                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
179                         {
180                             nprim_icd += Q.nprim12[cd + (++icd)];
181                             PRIM_PTR_INT__i_s_g_s += 420;
182                             PRIM_PTR_INT__i_s_h_s += 588;
183                             PRIM_PTR_INT__i_s_i_s += 784;
184                             PRIM_PTR_INT__i_s_k_s += 1008;
185                             PRIM_PTR_INT__i_s_l_s += 1260;
186                         }
187                         iprimcd++;
188                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
189                         {
190                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
191                             {
192                                 shelloffsets[n] = shelloffsets[n-1] + 1;
193                                 lastoffset++;
194                                 nprim_icd += Q.nprim12[cd + (++icd)];
195                             }
196                             else
197                                 shelloffsets[n] = shelloffsets[n-1];
198                             iprimcd++;
199                         }
200                     }
201                     else
202                         iprimcd += SIMINT_SIMD_LEN;
203 
204                     // Do we have to compute this vector (or has it been screened out)?
205                     // (not_screened != 0 means we have to do this vector)
206                     if(check_screen)
207                     {
208                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
209                         if(vmax < screen_tol)
210                         {
211                             PRIM_PTR_INT__i_s_g_s += lastoffset*420;
212                             PRIM_PTR_INT__i_s_h_s += lastoffset*588;
213                             PRIM_PTR_INT__i_s_i_s += lastoffset*784;
214                             PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
215                             PRIM_PTR_INT__i_s_l_s += lastoffset*1260;
216                             continue;
217                         }
218                     }
219 
220                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
221                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
222                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
223                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
224 
225 
226                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
227                     SIMINT_DBLTYPE PQ[3];
228                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
229                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
230                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
231                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
232                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
233                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
234 
235                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
236                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
237                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
238                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
239                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
240                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
241                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
242 
243                     // NOTE: Minus sign!
244                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
245                     SIMINT_DBLTYPE aop_PQ[3];
246                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
247                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
248                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
249 
250                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
251                     SIMINT_DBLTYPE aoq_PQ[3];
252                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
253                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
254                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
255                     // Put a minus sign here so we don't have to in RR routines
256                     a_over_q = SIMINT_NEG(a_over_q);
257 
258 
259                     //////////////////////////////////////////////
260                     // Fjt function section
261                     // Maximum v value: 14
262                     //////////////////////////////////////////////
263                     // The parameter to the Fjt function
264                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
265 
266 
267                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
268 
269 
270                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 14);
271                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
272                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
273                     for(n = 0; n <= 14; n++)
274                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
275 
276                     //////////////////////////////////////////////
277                     // Primitive integrals: Vertical recurrance
278                     //////////////////////////////////////////////
279 
280                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
281                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
282                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
283                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
284                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
285                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
286                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
287                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
288                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
289                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
290                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
291                     const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
292                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
293                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
294                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
295                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
296                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
297                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
298                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
299                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
300 
301 
302 
303                     // Forming PRIM_INT__s_s_p_s[14 * 3];
304                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
305                     {
306 
307                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
308                         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]);
309 
310                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
311                         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]);
312 
313                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
314                         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]);
315 
316                     }
317 
318 
319 
320                     // Forming PRIM_INT__s_s_d_s[13 * 6];
321                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
322                     {
323 
324                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
325                         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]);
326                         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]);
327 
328                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
329                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 1]);
330 
331                         PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
332                         PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 2]);
333 
334                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
335                         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]);
336                         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]);
337 
338                         PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
339                         PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_d_s[n * 6 + 4]);
340 
341                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
342                         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]);
343                         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]);
344 
345                     }
346 
347 
348 
349                     // Forming PRIM_INT__s_s_f_s[12 * 10];
350                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
351                     {
352 
353                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
354                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 0]);
355                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__s_s_f_s[n * 10 + 0]);
356 
357                         PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
358                         PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 1]);
359 
360                         PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
361                         PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 2]);
362 
363                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
364                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 3]);
365 
366                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
367                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__s_s_f_s[n * 10 + 4]);
368 
369                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
370                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 5]);
371 
372                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
373                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 6]);
374                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__s_s_f_s[n * 10 + 6]);
375 
376                         PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
377                         PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 7]);
378 
379                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
380                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 8]);
381 
382                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
383                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 9]);
384                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__s_s_f_s[n * 10 + 9]);
385 
386                     }
387 
388 
389                     VRR_K_s_s_g_s(
390                             PRIM_INT__s_s_g_s,
391                             PRIM_INT__s_s_f_s,
392                             PRIM_INT__s_s_d_s,
393                             Q_PA,
394                             a_over_q,
395                             aoq_PQ,
396                             one_over_2q,
397                             11);
398 
399 
400                     VRR_I_p_s_g_s(
401                             PRIM_INT__p_s_g_s,
402                             PRIM_INT__s_s_g_s,
403                             PRIM_INT__s_s_f_s,
404                             P_PA,
405                             aop_PQ,
406                             one_over_2pq,
407                             6);
408 
409 
410                     VRR_I_p_s_f_s(
411                             PRIM_INT__p_s_f_s,
412                             PRIM_INT__s_s_f_s,
413                             PRIM_INT__s_s_d_s,
414                             P_PA,
415                             aop_PQ,
416                             one_over_2pq,
417                             6);
418 
419 
420                     ostei_general_vrr_I(2, 0, 4, 0, 5,
421                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
422                             PRIM_INT__p_s_g_s, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
423 
424 
425 
426                     // Forming PRIM_INT__p_s_d_s[6 * 18];
427                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
428                     {
429 
430                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
431                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
432                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
433 
434                         PRIM_INT__p_s_d_s[n * 18 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 1]);
435                         PRIM_INT__p_s_d_s[n * 18 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 1]);
436                         PRIM_INT__p_s_d_s[n * 18 + 1] = 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 + 1]);
437 
438                         PRIM_INT__p_s_d_s[n * 18 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 2]);
439                         PRIM_INT__p_s_d_s[n * 18 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 2]);
440                         PRIM_INT__p_s_d_s[n * 18 + 2] = 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 + 2]);
441 
442                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
443                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 3]);
444 
445                         PRIM_INT__p_s_d_s[n * 18 + 4] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 4]);
446                         PRIM_INT__p_s_d_s[n * 18 + 4] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 4]);
447 
448                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
449                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 5]);
450 
451                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
452                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 6]);
453 
454                         PRIM_INT__p_s_d_s[n * 18 + 7] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 1]);
455                         PRIM_INT__p_s_d_s[n * 18 + 7] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 7]);
456                         PRIM_INT__p_s_d_s[n * 18 + 7] = 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 + 7]);
457 
458                         PRIM_INT__p_s_d_s[n * 18 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 2]);
459                         PRIM_INT__p_s_d_s[n * 18 + 8] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 8]);
460 
461                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
462                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 9]);
463                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_d_s[n * 18 + 9]);
464 
465                         PRIM_INT__p_s_d_s[n * 18 + 10] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 4]);
466                         PRIM_INT__p_s_d_s[n * 18 + 10] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 10]);
467                         PRIM_INT__p_s_d_s[n * 18 + 10] = 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 + 10]);
468 
469                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
470                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 11]);
471 
472                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
473                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 12]);
474 
475                         PRIM_INT__p_s_d_s[n * 18 + 13] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
476                         PRIM_INT__p_s_d_s[n * 18 + 13] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 13]);
477 
478                         PRIM_INT__p_s_d_s[n * 18 + 14] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 2]);
479                         PRIM_INT__p_s_d_s[n * 18 + 14] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 14]);
480                         PRIM_INT__p_s_d_s[n * 18 + 14] = 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 + 14]);
481 
482                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
483                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 15]);
484 
485                         PRIM_INT__p_s_d_s[n * 18 + 16] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 4]);
486                         PRIM_INT__p_s_d_s[n * 18 + 16] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 16]);
487                         PRIM_INT__p_s_d_s[n * 18 + 16] = 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 + 16]);
488 
489                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
490                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 17]);
491                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_d_s[n * 18 + 17]);
492 
493                     }
494 
495 
496                     VRR_I_d_s_f_s(
497                             PRIM_INT__d_s_f_s,
498                             PRIM_INT__p_s_f_s,
499                             PRIM_INT__s_s_f_s,
500                             PRIM_INT__p_s_d_s,
501                             P_PA,
502                             a_over_p,
503                             aop_PQ,
504                             one_over_2p,
505                             one_over_2pq,
506                             5);
507 
508 
509                     ostei_general_vrr_I(3, 0, 4, 0, 4,
510                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
511                             PRIM_INT__d_s_g_s, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_g_s);
512 
513 
514 
515                     // Forming PRIM_INT__p_s_p_s[6 * 9];
516                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
517                     {
518 
519                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
520                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
521                         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]);
522 
523                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 1]);
524                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 1]);
525 
526                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 2]);
527                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 2]);
528 
529                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
530                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 3]);
531 
532                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
533                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 4]);
534                         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]);
535 
536                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 2]);
537                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 5]);
538 
539                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
540                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 6]);
541 
542                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
543                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 7]);
544 
545                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
546                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 8]);
547                         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]);
548 
549                     }
550 
551 
552                     VRR_I_d_s_d_s(
553                             PRIM_INT__d_s_d_s,
554                             PRIM_INT__p_s_d_s,
555                             PRIM_INT__s_s_d_s,
556                             PRIM_INT__p_s_p_s,
557                             P_PA,
558                             a_over_p,
559                             aop_PQ,
560                             one_over_2p,
561                             one_over_2pq,
562                             5);
563 
564 
565                     ostei_general_vrr_I(3, 0, 3, 0, 4,
566                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
567                             PRIM_INT__d_s_f_s, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_d_s, NULL, PRIM_INT__f_s_f_s);
568 
569 
570                     ostei_general_vrr_I(4, 0, 4, 0, 3,
571                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
572                             PRIM_INT__f_s_g_s, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_f_s, NULL, PRIM_INT__g_s_g_s);
573 
574 
575 
576                     // Forming PRIM_INT__p_s_s_s[6 * 3];
577                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
578                     {
579 
580                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
581                         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]);
582 
583                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
584                         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]);
585 
586                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
587                         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]);
588 
589                     }
590 
591 
592 
593                     // Forming PRIM_INT__d_s_p_s[5 * 18];
594                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
595                     {
596 
597                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
598                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
599                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 0]);
600                         PRIM_INT__d_s_p_s[n * 18 + 0] = 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 + 0]);
601 
602                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 1]);
603                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 1], PRIM_INT__d_s_p_s[n * 18 + 1]);
604                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 1]);
605 
606                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 2]);
607                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 2], PRIM_INT__d_s_p_s[n * 18 + 2]);
608                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 2]);
609 
610                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 3]);
611                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 3], PRIM_INT__d_s_p_s[n * 18 + 9]);
612                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 9]);
613 
614                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
615                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 4], PRIM_INT__d_s_p_s[n * 18 + 10]);
616                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 10]);
617                         PRIM_INT__d_s_p_s[n * 18 + 10] = 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 + 10]);
618 
619                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 5]);
620                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 5], PRIM_INT__d_s_p_s[n * 18 + 11]);
621                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 11]);
622 
623                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 6]);
624                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 6], PRIM_INT__d_s_p_s[n * 18 + 15]);
625                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 15]);
626 
627                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 7]);
628                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 7], PRIM_INT__d_s_p_s[n * 18 + 16]);
629                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 16]);
630 
631                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
632                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 8], PRIM_INT__d_s_p_s[n * 18 + 17]);
633                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 17]);
634                         PRIM_INT__d_s_p_s[n * 18 + 17] = 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 + 17]);
635 
636                     }
637 
638 
639                     VRR_I_f_s_d_s(
640                             PRIM_INT__f_s_d_s,
641                             PRIM_INT__d_s_d_s,
642                             PRIM_INT__p_s_d_s,
643                             PRIM_INT__d_s_p_s,
644                             P_PA,
645                             a_over_p,
646                             aop_PQ,
647                             one_over_2p,
648                             one_over_2pq,
649                             4);
650 
651 
652                     ostei_general_vrr_I(4, 0, 3, 0, 3,
653                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
654                             PRIM_INT__f_s_f_s, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_d_s, NULL, PRIM_INT__g_s_f_s);
655 
656 
657                     ostei_general_vrr_I(5, 0, 4, 0, 2,
658                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
659                             PRIM_INT__g_s_g_s, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_f_s, NULL, PRIM_INT__h_s_g_s);
660 
661 
662 
663                     // Forming PRIM_INT__d_s_s_s[5 * 6];
664                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
665                     {
666 
667                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
668                         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]);
669                         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]);
670 
671                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
672                         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]);
673                         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]);
674 
675                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
676                         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]);
677                         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]);
678 
679                     }
680 
681 
682                     VRR_I_f_s_p_s(
683                             PRIM_INT__f_s_p_s,
684                             PRIM_INT__d_s_p_s,
685                             PRIM_INT__p_s_p_s,
686                             PRIM_INT__d_s_s_s,
687                             P_PA,
688                             a_over_p,
689                             aop_PQ,
690                             one_over_2p,
691                             one_over_2pq,
692                             4);
693 
694 
695                     ostei_general_vrr_I(4, 0, 2, 0, 3,
696                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
697                             PRIM_INT__f_s_d_s, PRIM_INT__d_s_d_s, NULL, PRIM_INT__f_s_p_s, NULL, PRIM_INT__g_s_d_s);
698 
699 
700                     ostei_general_vrr_I(5, 0, 3, 0, 2,
701                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
702                             PRIM_INT__g_s_f_s, PRIM_INT__f_s_f_s, NULL, PRIM_INT__g_s_d_s, NULL, PRIM_INT__h_s_f_s);
703 
704 
705                     ostei_general_vrr_I(6, 0, 4, 0, 1,
706                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
707                             PRIM_INT__h_s_g_s, PRIM_INT__g_s_g_s, NULL, PRIM_INT__h_s_f_s, NULL, PRIM_INT__i_s_g_s);
708 
709 
710                     VRR_K_s_s_h_s(
711                             PRIM_INT__s_s_h_s,
712                             PRIM_INT__s_s_g_s,
713                             PRIM_INT__s_s_f_s,
714                             Q_PA,
715                             a_over_q,
716                             aoq_PQ,
717                             one_over_2q,
718                             10);
719 
720 
721                     ostei_general_vrr_I(1, 0, 5, 0, 6,
722                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
723                             PRIM_INT__s_s_h_s, NULL, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
724 
725 
726                     ostei_general_vrr_I(2, 0, 5, 0, 5,
727                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
728                             PRIM_INT__p_s_h_s, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_h_s);
729 
730 
731                     ostei_general_vrr_I(3, 0, 5, 0, 4,
732                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
733                             PRIM_INT__d_s_h_s, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
734 
735 
736                     ostei_general_vrr_I(4, 0, 5, 0, 3,
737                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
738                             PRIM_INT__f_s_h_s, PRIM_INT__d_s_h_s, NULL, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_h_s);
739 
740 
741                     ostei_general_vrr_I(5, 0, 5, 0, 2,
742                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
743                             PRIM_INT__g_s_h_s, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_g_s, NULL, PRIM_INT__h_s_h_s);
744 
745 
746                     ostei_general_vrr_I(6, 0, 5, 0, 1,
747                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
748                             PRIM_INT__h_s_h_s, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_g_s, NULL, PRIM_INT__i_s_h_s);
749 
750 
751                     ostei_general_vrr1_K(6, 9,
752                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
753                             PRIM_INT__s_s_h_s, PRIM_INT__s_s_g_s, PRIM_INT__s_s_i_s);
754 
755 
756                     ostei_general_vrr_I(1, 0, 6, 0, 6,
757                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
758                             PRIM_INT__s_s_i_s, NULL, NULL, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_i_s);
759 
760 
761                     ostei_general_vrr_I(2, 0, 6, 0, 5,
762                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
763                             PRIM_INT__p_s_i_s, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_i_s);
764 
765 
766                     ostei_general_vrr_I(3, 0, 6, 0, 4,
767                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
768                             PRIM_INT__d_s_i_s, PRIM_INT__p_s_i_s, NULL, PRIM_INT__d_s_h_s, NULL, PRIM_INT__f_s_i_s);
769 
770 
771                     ostei_general_vrr_I(4, 0, 6, 0, 3,
772                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
773                             PRIM_INT__f_s_i_s, PRIM_INT__d_s_i_s, NULL, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_i_s);
774 
775 
776                     ostei_general_vrr_I(5, 0, 6, 0, 2,
777                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
778                             PRIM_INT__g_s_i_s, PRIM_INT__f_s_i_s, NULL, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_i_s);
779 
780 
781                     ostei_general_vrr_I(6, 0, 6, 0, 1,
782                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
783                             PRIM_INT__h_s_i_s, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_h_s, NULL, PRIM_INT__i_s_i_s);
784 
785 
786                     ostei_general_vrr1_K(7, 8,
787                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
788                             PRIM_INT__s_s_i_s, PRIM_INT__s_s_h_s, PRIM_INT__s_s_k_s);
789 
790 
791                     ostei_general_vrr_I(1, 0, 7, 0, 6,
792                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
793                             PRIM_INT__s_s_k_s, NULL, NULL, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_k_s);
794 
795 
796                     ostei_general_vrr_I(2, 0, 7, 0, 5,
797                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
798                             PRIM_INT__p_s_k_s, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_i_s, NULL, PRIM_INT__d_s_k_s);
799 
800 
801                     ostei_general_vrr_I(3, 0, 7, 0, 4,
802                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
803                             PRIM_INT__d_s_k_s, PRIM_INT__p_s_k_s, NULL, PRIM_INT__d_s_i_s, NULL, PRIM_INT__f_s_k_s);
804 
805 
806                     ostei_general_vrr_I(4, 0, 7, 0, 3,
807                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
808                             PRIM_INT__f_s_k_s, PRIM_INT__d_s_k_s, NULL, PRIM_INT__f_s_i_s, NULL, PRIM_INT__g_s_k_s);
809 
810 
811                     ostei_general_vrr_I(5, 0, 7, 0, 2,
812                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
813                             PRIM_INT__g_s_k_s, PRIM_INT__f_s_k_s, NULL, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_k_s);
814 
815 
816                     ostei_general_vrr_I(6, 0, 7, 0, 1,
817                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
818                             PRIM_INT__h_s_k_s, PRIM_INT__g_s_k_s, NULL, PRIM_INT__h_s_i_s, NULL, PRIM_INT__i_s_k_s);
819 
820 
821                     ostei_general_vrr1_K(8, 7,
822                             one_over_2q, a_over_q, aoq_PQ, Q_PA,
823                             PRIM_INT__s_s_k_s, PRIM_INT__s_s_i_s, PRIM_INT__s_s_l_s);
824 
825 
826                     ostei_general_vrr_I(1, 0, 8, 0, 6,
827                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
828                             PRIM_INT__s_s_l_s, NULL, NULL, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_l_s);
829 
830 
831                     ostei_general_vrr_I(2, 0, 8, 0, 5,
832                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
833                             PRIM_INT__p_s_l_s, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_k_s, NULL, PRIM_INT__d_s_l_s);
834 
835 
836                     ostei_general_vrr_I(3, 0, 8, 0, 4,
837                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
838                             PRIM_INT__d_s_l_s, PRIM_INT__p_s_l_s, NULL, PRIM_INT__d_s_k_s, NULL, PRIM_INT__f_s_l_s);
839 
840 
841                     ostei_general_vrr_I(4, 0, 8, 0, 3,
842                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
843                             PRIM_INT__f_s_l_s, PRIM_INT__d_s_l_s, NULL, PRIM_INT__f_s_k_s, NULL, PRIM_INT__g_s_l_s);
844 
845 
846                     ostei_general_vrr_I(5, 0, 8, 0, 2,
847                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
848                             PRIM_INT__g_s_l_s, PRIM_INT__f_s_l_s, NULL, PRIM_INT__g_s_k_s, NULL, PRIM_INT__h_s_l_s);
849 
850 
851                     ostei_general_vrr_I(6, 0, 8, 0, 1,
852                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
853                             PRIM_INT__h_s_l_s, PRIM_INT__g_s_l_s, NULL, PRIM_INT__h_s_k_s, NULL, PRIM_INT__i_s_l_s);
854 
855 
856 
857 
858                     ////////////////////////////////////
859                     // Accumulate contracted integrals
860                     ////////////////////////////////////
861                     if(lastoffset == 0)
862                     {
863                         contract_all(420, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
864                         contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
865                         contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
866                         contract_all(1008, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
867                         contract_all(1260, PRIM_INT__i_s_l_s, PRIM_PTR_INT__i_s_l_s);
868                     }
869                     else
870                     {
871                         contract(420, shelloffsets, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
872                         contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
873                         contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
874                         contract(1008, shelloffsets, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
875                         contract(1260, shelloffsets, PRIM_INT__i_s_l_s, PRIM_PTR_INT__i_s_l_s);
876                         PRIM_PTR_INT__i_s_g_s += lastoffset*420;
877                         PRIM_PTR_INT__i_s_h_s += lastoffset*588;
878                         PRIM_PTR_INT__i_s_i_s += lastoffset*784;
879                         PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
880                         PRIM_PTR_INT__i_s_l_s += lastoffset*1260;
881                     }
882 
883                 }  // close loop over j
884             }  // close loop over i
885 
886             //Advance to the next batch
887             jstart = SIMINT_SIMD_ROUND(jend);
888 
889             //////////////////////////////////////////////
890             // Contracted integrals: Horizontal recurrance
891             //////////////////////////////////////////////
892 
893 
894 
895 
896             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
897             {
898                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
899 
900                 // set up HRR pointers
901                 double const * restrict HRR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
902                 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
903                 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
904                 double const * restrict HRR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
905                 double const * restrict HRR_INT__i_s_l_s = INT__i_s_l_s + abcd * 1260;
906                 double * restrict HRR_INT__i_s_g_g = INT__i_s_g_g + real_abcd * 6300;
907 
908                 // form INT__i_s_g_p
909                 HRR_L_g_p(
910                     HRR_INT__i_s_g_p,
911                     HRR_INT__i_s_g_s,
912                     HRR_INT__i_s_h_s,
913                     hCD, 28);
914 
915                 // form INT__i_s_h_p
916                 ostei_general_hrr_L(6, 0, 5, 1, hCD, HRR_INT__i_s_i_s, HRR_INT__i_s_h_s, HRR_INT__i_s_h_p);
917 
918                 // form INT__i_s_i_p
919                 ostei_general_hrr_L(6, 0, 6, 1, hCD, HRR_INT__i_s_k_s, HRR_INT__i_s_i_s, HRR_INT__i_s_i_p);
920 
921                 // form INT__i_s_k_p
922                 ostei_general_hrr_L(6, 0, 7, 1, hCD, HRR_INT__i_s_l_s, HRR_INT__i_s_k_s, HRR_INT__i_s_k_p);
923 
924                 // form INT__i_s_g_d
925                 ostei_general_hrr_L(6, 0, 4, 2, hCD, HRR_INT__i_s_h_p, HRR_INT__i_s_g_p, HRR_INT__i_s_g_d);
926 
927                 // form INT__i_s_h_d
928                 ostei_general_hrr_L(6, 0, 5, 2, hCD, HRR_INT__i_s_i_p, HRR_INT__i_s_h_p, HRR_INT__i_s_h_d);
929 
930                 // form INT__i_s_i_d
931                 ostei_general_hrr_L(6, 0, 6, 2, hCD, HRR_INT__i_s_k_p, HRR_INT__i_s_i_p, HRR_INT__i_s_i_d);
932 
933                 // form INT__i_s_g_f
934                 ostei_general_hrr_L(6, 0, 4, 3, hCD, HRR_INT__i_s_h_d, HRR_INT__i_s_g_d, HRR_INT__i_s_g_f);
935 
936                 // form INT__i_s_h_f
937                 ostei_general_hrr_L(6, 0, 5, 3, hCD, HRR_INT__i_s_i_d, HRR_INT__i_s_h_d, HRR_INT__i_s_h_f);
938 
939                 // form INT__i_s_g_g
940                 ostei_general_hrr_L(6, 0, 4, 4, hCD, HRR_INT__i_s_h_f, HRR_INT__i_s_g_f, HRR_INT__i_s_g_g);
941 
942 
943             }  // close HRR loop
944 
945 
946         }   // close loop cdbatch
947 
948         istart = iend;
949     }  // close loop over ab
950 
951     return P.nshell12_clip * Q.nshell12_clip;
952 }
953 
ostei_s_i_g_g(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_i_g_g)954 int ostei_s_i_g_g(struct simint_multi_shellpair const P,
955                   struct simint_multi_shellpair const Q,
956                   double screen_tol,
957                   double * const restrict work,
958                   double * const restrict INT__s_i_g_g)
959 {
960     double P_AB[3*P.nshell12];
961     struct simint_multi_shellpair P_tmp = P;
962     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
963     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
964     P_tmp.AB_x = P_AB;
965     P_tmp.AB_y = P_AB + P.nshell12;
966     P_tmp.AB_z = P_AB + 2*P.nshell12;
967 
968     for(int i = 0; i < P.nshell12; i++)
969     {
970         P_tmp.AB_x[i] = -P.AB_x[i];
971         P_tmp.AB_y[i] = -P.AB_y[i];
972         P_tmp.AB_z[i] = -P.AB_z[i];
973     }
974 
975     int ret = ostei_i_s_g_g(P_tmp, Q, screen_tol, work, INT__s_i_g_g);
976     double buffer[6300] SIMINT_ALIGN_ARRAY_DBL;
977 
978     for(int q = 0; q < ret; q++)
979     {
980         int idx = 0;
981         for(int a = 0; a < 1; ++a)
982         for(int b = 0; b < 28; ++b)
983         for(int c = 0; c < 15; ++c)
984         for(int d = 0; d < 15; ++d)
985             buffer[idx++] = INT__s_i_g_g[q*6300+b*225+a*225+c*15+d];
986 
987         memcpy(INT__s_i_g_g+q*6300, buffer, 6300*sizeof(double));
988     }
989 
990     return ret;
991 }
992 
993