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_h_d_h_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_d_h_d)8 int ostei_h_d_h_d(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__h_d_h_d)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__h_d_h_d);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int iket;
26     int ibra;
27 
28     // partition workspace
29     double * const INT__h_s_h_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__h_s_i_s = work + (SIMINT_NSHELL_SIMD * 441);
31     double * const INT__h_s_k_s = work + (SIMINT_NSHELL_SIMD * 1029);
32     double * const INT__i_s_h_s = work + (SIMINT_NSHELL_SIMD * 1785);
33     double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 2373);
34     double * const INT__i_s_k_s = work + (SIMINT_NSHELL_SIMD * 3157);
35     double * const INT__k_s_h_s = work + (SIMINT_NSHELL_SIMD * 4165);
36     double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 4921);
37     double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 5929);
38     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*7225);
39     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 15;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 36;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 72;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 114;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 177;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 285;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 435;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 513;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 639;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 855;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 1155;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 1515;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 1635;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 1845;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 2205;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 2705;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 3305;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 3935;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 4100;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 4415;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 4955;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 5705;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 6605;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 7550;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 8390;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 8600;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 9041;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 9797;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 10847;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 12107;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 13430;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 14606;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 15362;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 15614;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 16202;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 17210;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 18610;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 20290;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 22054;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 23622;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 24630;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 24918;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 25674;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 26970;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 28770;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 30930;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 33198;
87     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 35214;
88     double * const hrrwork = (double *)(primwork + 36510);
89     double * const HRR_INT__h_p_h_s = hrrwork + 0;
90     double * const HRR_INT__h_p_i_s = hrrwork + 1323;
91     double * const HRR_INT__h_p_k_s = hrrwork + 3087;
92     double * const HRR_INT__h_d_h_s = hrrwork + 5355;
93     double * const HRR_INT__h_d_h_p = hrrwork + 8001;
94     double * const HRR_INT__h_d_i_s = hrrwork + 15939;
95     double * const HRR_INT__h_d_i_p = hrrwork + 19467;
96     double * const HRR_INT__h_d_k_s = hrrwork + 30051;
97     double * const HRR_INT__i_p_h_s = hrrwork + 34587;
98     double * const HRR_INT__i_p_i_s = hrrwork + 36351;
99     double * const HRR_INT__i_p_k_s = hrrwork + 38703;
100 
101 
102     // Create constants
103     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
104     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
105     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
106     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
107     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
108     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
109     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
110     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
111 
112 
113     ////////////////////////////////////////
114     // Loop over shells and primitives
115     ////////////////////////////////////////
116 
117     real_abcd = 0;
118     istart = 0;
119     for(ab = 0; ab < P.nshell12_clip; ++ab)
120     {
121         const int iend = istart + P.nprim12[ab];
122 
123         cd = 0;
124         jstart = 0;
125 
126         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
127         {
128             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
129             int jend = jstart;
130             for(i = 0; i < nshellbatch; i++)
131                 jend += Q.nprim12[cd+i];
132 
133             // Clear the beginning of the workspace (where we are accumulating integrals)
134             memset(work, 0, SIMINT_NSHELL_SIMD * 7225 * sizeof(double));
135             abcd = 0;
136 
137 
138             for(i = istart; i < iend; ++i)
139             {
140                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
141 
142                 if(check_screen)
143                 {
144                     // Skip this whole thing if always insignificant
145                     if((P.screen[i] * Q.screen_max) < screen_tol)
146                         continue;
147                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
148                 }
149 
150                 icd = 0;
151                 iprimcd = 0;
152                 nprim_icd = Q.nprim12[cd];
153                 double * restrict PRIM_PTR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
154                 double * restrict PRIM_PTR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
155                 double * restrict PRIM_PTR_INT__h_s_k_s = INT__h_s_k_s + abcd * 756;
156                 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
157                 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
158                 double * restrict PRIM_PTR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
159                 double * restrict PRIM_PTR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
160                 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
161                 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
162 
163 
164 
165                 // Load these one per loop over i
166                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
167                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
168                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
169 
170                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
171 
172                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
173                 {
174                     // calculate the shell offsets
175                     // these are the offset from the shell pointed to by cd
176                     // for each element
177                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
178                     int lastoffset = 0;
179                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
180 
181                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
182                     {
183                         // Handle if the first element of the vector is a new shell
184                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
185                         {
186                             nprim_icd += Q.nprim12[cd + (++icd)];
187                             PRIM_PTR_INT__h_s_h_s += 441;
188                             PRIM_PTR_INT__h_s_i_s += 588;
189                             PRIM_PTR_INT__h_s_k_s += 756;
190                             PRIM_PTR_INT__i_s_h_s += 588;
191                             PRIM_PTR_INT__i_s_i_s += 784;
192                             PRIM_PTR_INT__i_s_k_s += 1008;
193                             PRIM_PTR_INT__k_s_h_s += 756;
194                             PRIM_PTR_INT__k_s_i_s += 1008;
195                             PRIM_PTR_INT__k_s_k_s += 1296;
196                         }
197                         iprimcd++;
198                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
199                         {
200                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
201                             {
202                                 shelloffsets[n] = shelloffsets[n-1] + 1;
203                                 lastoffset++;
204                                 nprim_icd += Q.nprim12[cd + (++icd)];
205                             }
206                             else
207                                 shelloffsets[n] = shelloffsets[n-1];
208                             iprimcd++;
209                         }
210                     }
211                     else
212                         iprimcd += SIMINT_SIMD_LEN;
213 
214                     // Do we have to compute this vector (or has it been screened out)?
215                     // (not_screened != 0 means we have to do this vector)
216                     if(check_screen)
217                     {
218                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
219                         if(vmax < screen_tol)
220                         {
221                             PRIM_PTR_INT__h_s_h_s += lastoffset*441;
222                             PRIM_PTR_INT__h_s_i_s += lastoffset*588;
223                             PRIM_PTR_INT__h_s_k_s += lastoffset*756;
224                             PRIM_PTR_INT__i_s_h_s += lastoffset*588;
225                             PRIM_PTR_INT__i_s_i_s += lastoffset*784;
226                             PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
227                             PRIM_PTR_INT__k_s_h_s += lastoffset*756;
228                             PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
229                             PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
230                             continue;
231                         }
232                     }
233 
234                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
235                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
236                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
237                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
238 
239 
240                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
241                     SIMINT_DBLTYPE PQ[3];
242                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
243                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
244                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
245                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
246                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
247                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
248 
249                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
250                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
251                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
252                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
253                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
254                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
255                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
256 
257                     // NOTE: Minus sign!
258                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
259                     SIMINT_DBLTYPE aop_PQ[3];
260                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
261                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
262                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
263 
264                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
265                     SIMINT_DBLTYPE aoq_PQ[3];
266                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
267                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
268                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
269                     // Put a minus sign here so we don't have to in RR routines
270                     a_over_q = SIMINT_NEG(a_over_q);
271 
272 
273                     //////////////////////////////////////////////
274                     // Fjt function section
275                     // Maximum v value: 14
276                     //////////////////////////////////////////////
277                     // The parameter to the Fjt function
278                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
279 
280 
281                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
282 
283 
284                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 14);
285                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
286                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
287                     for(n = 0; n <= 14; n++)
288                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
289 
290                     //////////////////////////////////////////////
291                     // Primitive integrals: Vertical recurrance
292                     //////////////////////////////////////////////
293 
294                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
295                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
296                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
297                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
298                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
299                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
300                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
301                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
302                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
303                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
304                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
305                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
306                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
307                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
308                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
309                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
310                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
311                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
312                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
313 
314 
315 
316                     // Forming PRIM_INT__p_s_s_s[14 * 3];
317                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
318                     {
319 
320                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
321                         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]);
322 
323                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
324                         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]);
325 
326                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
327                         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]);
328 
329                     }
330 
331 
332 
333                     // Forming PRIM_INT__d_s_s_s[13 * 6];
334                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
335                     {
336 
337                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
338                         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]);
339                         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]);
340 
341                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
342                         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]);
343 
344                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
345                         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]);
346 
347                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
348                         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]);
349                         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]);
350 
351                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
352                         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]);
353 
354                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
355                         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]);
356                         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]);
357 
358                     }
359 
360 
361 
362                     // Forming PRIM_INT__f_s_s_s[12 * 10];
363                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
364                     {
365 
366                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
367                         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]);
368                         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]);
369 
370                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
371                         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]);
372 
373                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
374                         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]);
375 
376                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
377                         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]);
378 
379                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
380                         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]);
381 
382                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
383                         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]);
384 
385                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
386                         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]);
387                         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]);
388 
389                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
390                         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]);
391 
392                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
393                         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]);
394 
395                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
396                         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]);
397                         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]);
398 
399                     }
400 
401 
402                     VRR_I_g_s_s_s(
403                             PRIM_INT__g_s_s_s,
404                             PRIM_INT__f_s_s_s,
405                             PRIM_INT__d_s_s_s,
406                             P_PA,
407                             a_over_p,
408                             aop_PQ,
409                             one_over_2p,
410                             11);
411 
412 
413                     VRR_I_h_s_s_s(
414                             PRIM_INT__h_s_s_s,
415                             PRIM_INT__g_s_s_s,
416                             PRIM_INT__f_s_s_s,
417                             P_PA,
418                             a_over_p,
419                             aop_PQ,
420                             one_over_2p,
421                             10);
422 
423 
424                     ostei_general_vrr_K(5, 0, 1, 0, 7,
425                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
426                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
427 
428 
429                     VRR_K_g_s_p_s(
430                             PRIM_INT__g_s_p_s,
431                             PRIM_INT__g_s_s_s,
432                             PRIM_INT__f_s_s_s,
433                             Q_PA,
434                             aoq_PQ,
435                             one_over_2pq,
436                             7);
437 
438 
439                     ostei_general_vrr_K(5, 0, 2, 0, 6,
440                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
441                             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);
442 
443 
444                     VRR_K_f_s_p_s(
445                             PRIM_INT__f_s_p_s,
446                             PRIM_INT__f_s_s_s,
447                             PRIM_INT__d_s_s_s,
448                             Q_PA,
449                             aoq_PQ,
450                             one_over_2pq,
451                             7);
452 
453 
454                     ostei_general_vrr_K(4, 0, 2, 0, 6,
455                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
456                             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);
457 
458 
459                     ostei_general_vrr_K(5, 0, 3, 0, 5,
460                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
461                             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);
462 
463 
464 
465                     // Forming PRIM_INT__d_s_p_s[7 * 18];
466                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
467                     {
468 
469                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
470                         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]);
471                         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]);
472 
473                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
474                         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]);
475 
476                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
477                         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]);
478 
479                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
480                         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]);
481                         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]);
482 
483                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
484                         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]);
485                         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]);
486 
487                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
488                         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]);
489 
490                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
491                         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]);
492                         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]);
493 
494                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
495                         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]);
496 
497                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
498                         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]);
499                         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]);
500 
501                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
502                         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]);
503 
504                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
505                         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]);
506                         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]);
507 
508                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
509                         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]);
510 
511                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
512                         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]);
513 
514                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
515                         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]);
516                         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]);
517 
518                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
519                         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]);
520                         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]);
521 
522                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
523                         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]);
524 
525                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
526                         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]);
527 
528                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
529                         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]);
530                         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]);
531 
532                     }
533 
534 
535                     VRR_K_f_s_d_s(
536                             PRIM_INT__f_s_d_s,
537                             PRIM_INT__f_s_p_s,
538                             PRIM_INT__f_s_s_s,
539                             PRIM_INT__d_s_p_s,
540                             Q_PA,
541                             a_over_q,
542                             aoq_PQ,
543                             one_over_2pq,
544                             one_over_2q,
545                             6);
546 
547 
548                     ostei_general_vrr_K(4, 0, 3, 0, 5,
549                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
550                             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);
551 
552 
553                     ostei_general_vrr_K(5, 0, 4, 0, 4,
554                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
555                             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);
556 
557 
558 
559                     // Forming PRIM_INT__p_s_p_s[7 * 9];
560                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
561                     {
562 
563                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
564                         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]);
565                         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]);
566 
567                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
568                         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]);
569 
570                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
571                         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]);
572 
573                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
574                         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]);
575 
576                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
577                         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]);
578                         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]);
579 
580                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
581                         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]);
582 
583                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
584                         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]);
585 
586                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
587                         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]);
588 
589                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
590                         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]);
591                         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]);
592 
593                     }
594 
595 
596                     VRR_K_d_s_d_s(
597                             PRIM_INT__d_s_d_s,
598                             PRIM_INT__d_s_p_s,
599                             PRIM_INT__d_s_s_s,
600                             PRIM_INT__p_s_p_s,
601                             Q_PA,
602                             a_over_q,
603                             aoq_PQ,
604                             one_over_2pq,
605                             one_over_2q,
606                             6);
607 
608 
609                     ostei_general_vrr_K(3, 0, 3, 0, 5,
610                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
611                             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);
612 
613 
614                     ostei_general_vrr_K(4, 0, 4, 0, 4,
615                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
616                             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);
617 
618 
619                     ostei_general_vrr_K(5, 0, 5, 0, 3,
620                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
621                             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);
622 
623 
624 
625                     // Forming PRIM_INT__s_s_p_s[7 * 3];
626                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
627                     {
628 
629                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
630                         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]);
631 
632                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
633                         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]);
634 
635                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
636                         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]);
637 
638                     }
639 
640 
641 
642                     // Forming PRIM_INT__p_s_d_s[6 * 18];
643                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
644                     {
645 
646                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
647                         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]);
648                         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]);
649                         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]);
650 
651                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
652                         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]);
653                         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]);
654 
655                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
656                         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]);
657                         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]);
658 
659                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
660                         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]);
661                         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]);
662 
663                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
664                         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]);
665                         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]);
666                         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]);
667 
668                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
669                         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]);
670                         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]);
671 
672                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
673                         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]);
674                         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]);
675 
676                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
677                         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]);
678                         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]);
679 
680                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
681                         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]);
682                         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]);
683                         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]);
684 
685                     }
686 
687 
688                     VRR_K_d_s_f_s(
689                             PRIM_INT__d_s_f_s,
690                             PRIM_INT__d_s_d_s,
691                             PRIM_INT__d_s_p_s,
692                             PRIM_INT__p_s_d_s,
693                             Q_PA,
694                             a_over_q,
695                             aoq_PQ,
696                             one_over_2pq,
697                             one_over_2q,
698                             5);
699 
700 
701                     ostei_general_vrr_K(3, 0, 4, 0, 4,
702                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
703                             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);
704 
705 
706                     ostei_general_vrr_K(4, 0, 5, 0, 3,
707                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
708                             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);
709 
710 
711                     ostei_general_vrr_K(5, 0, 6, 0, 2,
712                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
713                             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);
714 
715 
716                     ostei_general_vrr1_I(6, 9,
717                             one_over_2p, a_over_p, aop_PQ, P_PA,
718                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
719 
720 
721                     ostei_general_vrr_K(6, 0, 1, 0, 7,
722                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
723                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
724 
725 
726                     ostei_general_vrr_K(6, 0, 2, 0, 6,
727                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
728                             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);
729 
730 
731                     ostei_general_vrr_K(6, 0, 3, 0, 5,
732                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
733                             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);
734 
735 
736                     ostei_general_vrr_K(6, 0, 4, 0, 4,
737                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
738                             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);
739 
740 
741                     ostei_general_vrr_K(6, 0, 5, 0, 3,
742                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
743                             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);
744 
745 
746 
747                     // Forming PRIM_INT__s_s_d_s[6 * 6];
748                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
749                     {
750 
751                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
752                         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]);
753                         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]);
754 
755                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
756                         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]);
757                         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]);
758 
759                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
760                         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]);
761                         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]);
762 
763                     }
764 
765 
766                     VRR_K_p_s_f_s(
767                             PRIM_INT__p_s_f_s,
768                             PRIM_INT__p_s_d_s,
769                             PRIM_INT__p_s_p_s,
770                             PRIM_INT__s_s_d_s,
771                             Q_PA,
772                             a_over_q,
773                             aoq_PQ,
774                             one_over_2pq,
775                             one_over_2q,
776                             5);
777 
778 
779                     ostei_general_vrr_K(2, 0, 4, 0, 4,
780                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
781                             PRIM_INT__d_s_f_s, PRIM_INT__d_s_d_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
782 
783 
784                     ostei_general_vrr_K(3, 0, 5, 0, 3,
785                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
786                             PRIM_INT__f_s_g_s, PRIM_INT__f_s_f_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
787 
788 
789                     ostei_general_vrr_K(4, 0, 6, 0, 2,
790                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
791                             PRIM_INT__g_s_h_s, PRIM_INT__g_s_g_s, NULL, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_i_s);
792 
793 
794                     ostei_general_vrr_K(5, 0, 7, 0, 1,
795                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
796                             PRIM_INT__h_s_i_s, PRIM_INT__h_s_h_s, NULL, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_k_s);
797 
798 
799                     ostei_general_vrr_K(6, 0, 6, 0, 2,
800                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
801                             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);
802 
803 
804                     ostei_general_vrr1_I(7, 8,
805                             one_over_2p, a_over_p, aop_PQ, P_PA,
806                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
807 
808 
809                     ostei_general_vrr_K(7, 0, 1, 0, 7,
810                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
811                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
812 
813 
814                     ostei_general_vrr_K(7, 0, 2, 0, 6,
815                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
816                             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);
817 
818 
819                     ostei_general_vrr_K(7, 0, 3, 0, 5,
820                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
821                             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);
822 
823 
824                     ostei_general_vrr_K(7, 0, 4, 0, 4,
825                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
826                             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);
827 
828 
829                     ostei_general_vrr_K(7, 0, 5, 0, 3,
830                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
831                             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);
832 
833 
834                     ostei_general_vrr_K(6, 0, 7, 0, 1,
835                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
836                             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);
837 
838 
839                     ostei_general_vrr_K(7, 0, 6, 0, 2,
840                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
841                             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);
842 
843 
844                     ostei_general_vrr_K(7, 0, 7, 0, 1,
845                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
846                             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);
847 
848 
849 
850 
851                     ////////////////////////////////////
852                     // Accumulate contracted integrals
853                     ////////////////////////////////////
854                     if(lastoffset == 0)
855                     {
856                         contract_all(441, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
857                         contract_all(588, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
858                         contract_all(756, PRIM_INT__h_s_k_s, PRIM_PTR_INT__h_s_k_s);
859                         contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
860                         contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
861                         contract_all(1008, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
862                         contract_all(756, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
863                         contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
864                         contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
865                     }
866                     else
867                     {
868                         contract(441, shelloffsets, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
869                         contract(588, shelloffsets, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
870                         contract(756, shelloffsets, PRIM_INT__h_s_k_s, PRIM_PTR_INT__h_s_k_s);
871                         contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
872                         contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
873                         contract(1008, shelloffsets, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
874                         contract(756, shelloffsets, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
875                         contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
876                         contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
877                         PRIM_PTR_INT__h_s_h_s += lastoffset*441;
878                         PRIM_PTR_INT__h_s_i_s += lastoffset*588;
879                         PRIM_PTR_INT__h_s_k_s += lastoffset*756;
880                         PRIM_PTR_INT__i_s_h_s += lastoffset*588;
881                         PRIM_PTR_INT__i_s_i_s += lastoffset*784;
882                         PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
883                         PRIM_PTR_INT__k_s_h_s += lastoffset*756;
884                         PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
885                         PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
886                     }
887 
888                 }  // close loop over j
889             }  // close loop over i
890 
891             //Advance to the next batch
892             jstart = SIMINT_SIMD_ROUND(jend);
893 
894             //////////////////////////////////////////////
895             // Contracted integrals: Horizontal recurrance
896             //////////////////////////////////////////////
897 
898 
899             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
900 
901 
902             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
903             {
904                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
905 
906                 // set up HRR pointers
907                 double const * restrict HRR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
908                 double const * restrict HRR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
909                 double const * restrict HRR_INT__h_s_k_s = INT__h_s_k_s + abcd * 756;
910                 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
911                 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
912                 double const * restrict HRR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
913                 double const * restrict HRR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
914                 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
915                 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
916                 double * restrict HRR_INT__h_d_h_d = INT__h_d_h_d + real_abcd * 15876;
917 
918                 // form INT__h_p_h_s
919                 ostei_general_hrr_J(5, 1, 5, 0, hAB, HRR_INT__i_s_h_s, HRR_INT__h_s_h_s, HRR_INT__h_p_h_s);
920 
921                 // form INT__h_p_i_s
922                 ostei_general_hrr_J(5, 1, 6, 0, hAB, HRR_INT__i_s_i_s, HRR_INT__h_s_i_s, HRR_INT__h_p_i_s);
923 
924                 // form INT__h_p_k_s
925                 ostei_general_hrr_J(5, 1, 7, 0, hAB, HRR_INT__i_s_k_s, HRR_INT__h_s_k_s, HRR_INT__h_p_k_s);
926 
927                 // form INT__i_p_h_s
928                 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);
929 
930                 // form INT__i_p_i_s
931                 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);
932 
933                 // form INT__i_p_k_s
934                 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);
935 
936                 // form INT__h_d_h_s
937                 ostei_general_hrr_J(5, 2, 5, 0, hAB, HRR_INT__i_p_h_s, HRR_INT__h_p_h_s, HRR_INT__h_d_h_s);
938 
939                 // form INT__h_d_i_s
940                 ostei_general_hrr_J(5, 2, 6, 0, hAB, HRR_INT__i_p_i_s, HRR_INT__h_p_i_s, HRR_INT__h_d_i_s);
941 
942                 // form INT__h_d_k_s
943                 ostei_general_hrr_J(5, 2, 7, 0, hAB, HRR_INT__i_p_k_s, HRR_INT__h_p_k_s, HRR_INT__h_d_k_s);
944 
945                 // form INT__h_d_h_p
946                 ostei_general_hrr_L(5, 2, 5, 1, hCD, HRR_INT__h_d_i_s, HRR_INT__h_d_h_s, HRR_INT__h_d_h_p);
947 
948                 // form INT__h_d_i_p
949                 ostei_general_hrr_L(5, 2, 6, 1, hCD, HRR_INT__h_d_k_s, HRR_INT__h_d_i_s, HRR_INT__h_d_i_p);
950 
951                 // form INT__h_d_h_d
952                 ostei_general_hrr_L(5, 2, 5, 2, hCD, HRR_INT__h_d_i_p, HRR_INT__h_d_h_p, HRR_INT__h_d_h_d);
953 
954 
955             }  // close HRR loop
956 
957 
958         }   // close loop cdbatch
959 
960         istart = iend;
961     }  // close loop over ab
962 
963     return P.nshell12_clip * Q.nshell12_clip;
964 }
965 
ostei_d_h_h_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_h_h_d)966 int ostei_d_h_h_d(struct simint_multi_shellpair const P,
967                   struct simint_multi_shellpair const Q,
968                   double screen_tol,
969                   double * const restrict work,
970                   double * const restrict INT__d_h_h_d)
971 {
972     double P_AB[3*P.nshell12];
973     struct simint_multi_shellpair P_tmp = P;
974     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
975     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
976     P_tmp.AB_x = P_AB;
977     P_tmp.AB_y = P_AB + P.nshell12;
978     P_tmp.AB_z = P_AB + 2*P.nshell12;
979 
980     for(int i = 0; i < P.nshell12; i++)
981     {
982         P_tmp.AB_x[i] = -P.AB_x[i];
983         P_tmp.AB_y[i] = -P.AB_y[i];
984         P_tmp.AB_z[i] = -P.AB_z[i];
985     }
986 
987     int ret = ostei_h_d_h_d(P_tmp, Q, screen_tol, work, INT__d_h_h_d);
988     double buffer[15876] SIMINT_ALIGN_ARRAY_DBL;
989 
990     for(int q = 0; q < ret; q++)
991     {
992         int idx = 0;
993         for(int a = 0; a < 6; ++a)
994         for(int b = 0; b < 21; ++b)
995         for(int c = 0; c < 21; ++c)
996         for(int d = 0; d < 6; ++d)
997             buffer[idx++] = INT__d_h_h_d[q*15876+b*756+a*126+c*6+d];
998 
999         memcpy(INT__d_h_h_d+q*15876, buffer, 15876*sizeof(double));
1000     }
1001 
1002     return ret;
1003 }
1004 
ostei_h_d_d_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_d_d_h)1005 int ostei_h_d_d_h(struct simint_multi_shellpair const P,
1006                   struct simint_multi_shellpair const Q,
1007                   double screen_tol,
1008                   double * const restrict work,
1009                   double * const restrict INT__h_d_d_h)
1010 {
1011     double Q_AB[3*Q.nshell12];
1012     struct simint_multi_shellpair Q_tmp = Q;
1013     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1014     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1015     Q_tmp.AB_x = Q_AB;
1016     Q_tmp.AB_y = Q_AB + Q.nshell12;
1017     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1018 
1019     for(int i = 0; i < Q.nshell12; i++)
1020     {
1021         Q_tmp.AB_x[i] = -Q.AB_x[i];
1022         Q_tmp.AB_y[i] = -Q.AB_y[i];
1023         Q_tmp.AB_z[i] = -Q.AB_z[i];
1024     }
1025 
1026     int ret = ostei_h_d_h_d(P, Q_tmp, screen_tol, work, INT__h_d_d_h);
1027     double buffer[15876] SIMINT_ALIGN_ARRAY_DBL;
1028 
1029     for(int q = 0; q < ret; q++)
1030     {
1031         int idx = 0;
1032         for(int a = 0; a < 21; ++a)
1033         for(int b = 0; b < 6; ++b)
1034         for(int c = 0; c < 6; ++c)
1035         for(int d = 0; d < 21; ++d)
1036             buffer[idx++] = INT__h_d_d_h[q*15876+a*756+b*126+d*6+c];
1037 
1038         memcpy(INT__h_d_d_h+q*15876, buffer, 15876*sizeof(double));
1039     }
1040 
1041     return ret;
1042 }
1043 
ostei_d_h_d_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_h_d_h)1044 int ostei_d_h_d_h(struct simint_multi_shellpair const P,
1045                   struct simint_multi_shellpair const Q,
1046                   double screen_tol,
1047                   double * const restrict work,
1048                   double * const restrict INT__d_h_d_h)
1049 {
1050     double P_AB[3*P.nshell12];
1051     struct simint_multi_shellpair P_tmp = P;
1052     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
1053     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
1054     P_tmp.AB_x = P_AB;
1055     P_tmp.AB_y = P_AB + P.nshell12;
1056     P_tmp.AB_z = P_AB + 2*P.nshell12;
1057 
1058     for(int i = 0; i < P.nshell12; i++)
1059     {
1060         P_tmp.AB_x[i] = -P.AB_x[i];
1061         P_tmp.AB_y[i] = -P.AB_y[i];
1062         P_tmp.AB_z[i] = -P.AB_z[i];
1063     }
1064 
1065     double Q_AB[3*Q.nshell12];
1066     struct simint_multi_shellpair Q_tmp = Q;
1067     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1068     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1069     Q_tmp.AB_x = Q_AB;
1070     Q_tmp.AB_y = Q_AB + Q.nshell12;
1071     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1072 
1073     for(int i = 0; i < Q.nshell12; i++)
1074     {
1075         Q_tmp.AB_x[i] = -Q.AB_x[i];
1076         Q_tmp.AB_y[i] = -Q.AB_y[i];
1077         Q_tmp.AB_z[i] = -Q.AB_z[i];
1078     }
1079 
1080     int ret = ostei_h_d_h_d(P_tmp, Q_tmp, screen_tol, work, INT__d_h_d_h);
1081     double buffer[15876] SIMINT_ALIGN_ARRAY_DBL;
1082 
1083     for(int q = 0; q < ret; q++)
1084     {
1085         int idx = 0;
1086         for(int a = 0; a < 6; ++a)
1087         for(int b = 0; b < 21; ++b)
1088         for(int c = 0; c < 6; ++c)
1089         for(int d = 0; d < 21; ++d)
1090             buffer[idx++] = INT__d_h_d_h[q*15876+b*756+a*126+d*6+c];
1091 
1092         memcpy(INT__d_h_d_h+q*15876, buffer, 15876*sizeof(double));
1093     }
1094 
1095     return ret;
1096 }
1097 
1098