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_k_k_i_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_k_i_s)8 int ostei_k_k_i_s(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__k_k_i_s)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__k_k_i_s);
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 
27     // partition workspace
28     double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__l_s_i_s = work + (SIMINT_NSHELL_SIMD * 1008);
30     double * const INT__m_s_i_s = work + (SIMINT_NSHELL_SIMD * 2268);
31     double * const INT__n_s_i_s = work + (SIMINT_NSHELL_SIMD * 3808);
32     double * const INT__o_s_i_s = work + (SIMINT_NSHELL_SIMD * 5656);
33     double * const INT__q_s_i_s = work + (SIMINT_NSHELL_SIMD * 7840);
34     double * const INT__r_s_i_s = work + (SIMINT_NSHELL_SIMD * 10388);
35     double * const INT__t_s_i_s = work + (SIMINT_NSHELL_SIMD * 13328);
36     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*16688);
37     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 21;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 81;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 195;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 303;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 483;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 663;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 963;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 1218;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 1488;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 1938;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 2538;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 2874;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 3252;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 3882;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 4722;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 5667;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 6087;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 6591;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 7431;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 8551;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 9811;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 10987;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 11491;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 12139;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 13219;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 14659;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 16279;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 17791;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 18799;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 19384;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 20194;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 21544;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 23344;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_h_s = primwork + 25369;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_i_s = primwork + 27259;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 28519;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 29179;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 30169;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 31819;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_g_s = primwork + 34019;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_h_s = primwork + 36494;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_i_s = primwork + 38804;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 40344;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 41070;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 42258;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 44238;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_g_s = primwork + 46878;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_h_s = primwork + 49848;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_i_s = primwork + 52620;
87     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_s_s = primwork + 54468;
88     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_p_s = primwork + 55248;
89     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_d_s = primwork + 56652;
90     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_f_s = primwork + 58992;
91     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_g_s = primwork + 62112;
92     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_h_s = primwork + 65622;
93     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_i_s = primwork + 68898;
94     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_s_s = primwork + 71082;
95     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_p_s = primwork + 71901;
96     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_d_s = primwork + 73539;
97     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_f_s = primwork + 76269;
98     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_g_s = primwork + 79909;
99     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_h_s = primwork + 84004;
100     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_i_s = primwork + 87826;
101     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_s_s = primwork + 90374;
102     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_p_s = primwork + 91214;
103     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_d_s = primwork + 93104;
104     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_f_s = primwork + 96254;
105     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_g_s = primwork + 100454;
106     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_h_s = primwork + 105179;
107     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_i_s = primwork + 109589;
108     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_s_s = primwork + 112529;
109     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_p_s = primwork + 113369;
110     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_d_s = primwork + 115529;
111     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_f_s = primwork + 119129;
112     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_g_s = primwork + 123929;
113     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_h_s = primwork + 129329;
114     SIMINT_DBLTYPE * const restrict PRIM_INT__t_s_i_s = primwork + 134369;
115     double * const hrrwork = (double *)(primwork + 137729);
116     double * const HRR_INT__k_p_i_s = hrrwork + 0;
117     double * const HRR_INT__k_d_i_s = hrrwork + 3024;
118     double * const HRR_INT__k_f_i_s = hrrwork + 9072;
119     double * const HRR_INT__k_g_i_s = hrrwork + 19152;
120     double * const HRR_INT__k_h_i_s = hrrwork + 34272;
121     double * const HRR_INT__k_i_i_s = hrrwork + 55440;
122     double * const HRR_INT__l_p_i_s = hrrwork + 83664;
123     double * const HRR_INT__l_d_i_s = hrrwork + 87444;
124     double * const HRR_INT__l_f_i_s = hrrwork + 95004;
125     double * const HRR_INT__l_g_i_s = hrrwork + 107604;
126     double * const HRR_INT__l_h_i_s = hrrwork + 126504;
127     double * const HRR_INT__l_i_i_s = hrrwork + 152964;
128     double * const HRR_INT__m_p_i_s = hrrwork + 188244;
129     double * const HRR_INT__m_d_i_s = hrrwork + 192864;
130     double * const HRR_INT__m_f_i_s = hrrwork + 202104;
131     double * const HRR_INT__m_g_i_s = hrrwork + 217504;
132     double * const HRR_INT__m_h_i_s = hrrwork + 240604;
133     double * const HRR_INT__n_p_i_s = hrrwork + 272944;
134     double * const HRR_INT__n_d_i_s = hrrwork + 278488;
135     double * const HRR_INT__n_f_i_s = hrrwork + 289576;
136     double * const HRR_INT__n_g_i_s = hrrwork + 308056;
137     double * const HRR_INT__o_p_i_s = hrrwork + 335776;
138     double * const HRR_INT__o_d_i_s = hrrwork + 342328;
139     double * const HRR_INT__o_f_i_s = hrrwork + 355432;
140     double * const HRR_INT__q_p_i_s = hrrwork + 377272;
141     double * const HRR_INT__q_d_i_s = hrrwork + 384916;
142     double * const HRR_INT__r_p_i_s = hrrwork + 400204;
143 
144 
145     // Create constants
146     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
147     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
148     const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
149     const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
150     const SIMINT_DBLTYPE const_13 = SIMINT_DBLSET1(13);
151     const SIMINT_DBLTYPE const_14 = SIMINT_DBLSET1(14);
152     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
153     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
154     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
155     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
156     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
157     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
158     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
159     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
160     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
161 
162 
163     ////////////////////////////////////////
164     // Loop over shells and primitives
165     ////////////////////////////////////////
166 
167     real_abcd = 0;
168     istart = 0;
169     for(ab = 0; ab < P.nshell12_clip; ++ab)
170     {
171         const int iend = istart + P.nprim12[ab];
172 
173         cd = 0;
174         jstart = 0;
175 
176         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
177         {
178             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
179             int jend = jstart;
180             for(i = 0; i < nshellbatch; i++)
181                 jend += Q.nprim12[cd+i];
182 
183             // Clear the beginning of the workspace (where we are accumulating integrals)
184             memset(work, 0, SIMINT_NSHELL_SIMD * 16688 * sizeof(double));
185             abcd = 0;
186 
187 
188             for(i = istart; i < iend; ++i)
189             {
190                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
191 
192                 if(check_screen)
193                 {
194                     // Skip this whole thing if always insignificant
195                     if((P.screen[i] * Q.screen_max) < screen_tol)
196                         continue;
197                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
198                 }
199 
200                 icd = 0;
201                 iprimcd = 0;
202                 nprim_icd = Q.nprim12[cd];
203                 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
204                 double * restrict PRIM_PTR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
205                 double * restrict PRIM_PTR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
206                 double * restrict PRIM_PTR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
207                 double * restrict PRIM_PTR_INT__o_s_i_s = INT__o_s_i_s + abcd * 2184;
208                 double * restrict PRIM_PTR_INT__q_s_i_s = INT__q_s_i_s + abcd * 2548;
209                 double * restrict PRIM_PTR_INT__r_s_i_s = INT__r_s_i_s + abcd * 2940;
210                 double * restrict PRIM_PTR_INT__t_s_i_s = INT__t_s_i_s + abcd * 3360;
211 
212 
213 
214                 // Load these one per loop over i
215                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
216                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
217                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
218 
219                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
220 
221                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
222                 {
223                     // calculate the shell offsets
224                     // these are the offset from the shell pointed to by cd
225                     // for each element
226                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
227                     int lastoffset = 0;
228                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
229 
230                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
231                     {
232                         // Handle if the first element of the vector is a new shell
233                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
234                         {
235                             nprim_icd += Q.nprim12[cd + (++icd)];
236                             PRIM_PTR_INT__k_s_i_s += 1008;
237                             PRIM_PTR_INT__l_s_i_s += 1260;
238                             PRIM_PTR_INT__m_s_i_s += 1540;
239                             PRIM_PTR_INT__n_s_i_s += 1848;
240                             PRIM_PTR_INT__o_s_i_s += 2184;
241                             PRIM_PTR_INT__q_s_i_s += 2548;
242                             PRIM_PTR_INT__r_s_i_s += 2940;
243                             PRIM_PTR_INT__t_s_i_s += 3360;
244                         }
245                         iprimcd++;
246                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
247                         {
248                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
249                             {
250                                 shelloffsets[n] = shelloffsets[n-1] + 1;
251                                 lastoffset++;
252                                 nprim_icd += Q.nprim12[cd + (++icd)];
253                             }
254                             else
255                                 shelloffsets[n] = shelloffsets[n-1];
256                             iprimcd++;
257                         }
258                     }
259                     else
260                         iprimcd += SIMINT_SIMD_LEN;
261 
262                     // Do we have to compute this vector (or has it been screened out)?
263                     // (not_screened != 0 means we have to do this vector)
264                     if(check_screen)
265                     {
266                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
267                         if(vmax < screen_tol)
268                         {
269                             PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
270                             PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
271                             PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
272                             PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
273                             PRIM_PTR_INT__o_s_i_s += lastoffset*2184;
274                             PRIM_PTR_INT__q_s_i_s += lastoffset*2548;
275                             PRIM_PTR_INT__r_s_i_s += lastoffset*2940;
276                             PRIM_PTR_INT__t_s_i_s += lastoffset*3360;
277                             continue;
278                         }
279                     }
280 
281                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
282                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
283                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
284                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
285 
286 
287                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
288                     SIMINT_DBLTYPE PQ[3];
289                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
290                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
291                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
292                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
293                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
294                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
295 
296                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
297                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
298                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
299                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
300                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
301                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
302                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
303 
304                     // NOTE: Minus sign!
305                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
306                     SIMINT_DBLTYPE aop_PQ[3];
307                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
308                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
309                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
310 
311                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
312                     SIMINT_DBLTYPE aoq_PQ[3];
313                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
314                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
315                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
316                     // Put a minus sign here so we don't have to in RR routines
317                     a_over_q = SIMINT_NEG(a_over_q);
318 
319 
320                     //////////////////////////////////////////////
321                     // Fjt function section
322                     // Maximum v value: 20
323                     //////////////////////////////////////////////
324                     // The parameter to the Fjt function
325                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
326 
327 
328                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
329 
330 
331                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 20);
332                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
333                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
334                     for(n = 0; n <= 20; n++)
335                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
336 
337                     //////////////////////////////////////////////
338                     // Primitive integrals: Vertical recurrance
339                     //////////////////////////////////////////////
340 
341                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
342                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
343                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
344                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
345                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
346                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
347                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
348                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
349                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
350                     const SIMINT_DBLTYPE vrr_const_10_over_2p = SIMINT_MUL(const_10, one_over_2p);
351                     const SIMINT_DBLTYPE vrr_const_11_over_2p = SIMINT_MUL(const_11, one_over_2p);
352                     const SIMINT_DBLTYPE vrr_const_12_over_2p = SIMINT_MUL(const_12, one_over_2p);
353                     const SIMINT_DBLTYPE vrr_const_13_over_2p = SIMINT_MUL(const_13, one_over_2p);
354                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
355                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
356                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
357                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
358                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
359                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
360                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
361                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
362                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
363                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
364                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
365                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
366                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
367                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
368                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
369                     const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
370                     const SIMINT_DBLTYPE vrr_const_12_over_2pq = SIMINT_MUL(const_12, one_over_2pq);
371                     const SIMINT_DBLTYPE vrr_const_13_over_2pq = SIMINT_MUL(const_13, one_over_2pq);
372                     const SIMINT_DBLTYPE vrr_const_14_over_2pq = SIMINT_MUL(const_14, one_over_2pq);
373 
374 
375 
376                     // Forming PRIM_INT__p_s_s_s[20 * 3];
377                     for(n = 0; n < 20; ++n)  // loop over orders of auxiliary function
378                     {
379 
380                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
381                         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]);
382 
383                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
384                         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]);
385 
386                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
387                         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]);
388 
389                     }
390 
391 
392 
393                     // Forming PRIM_INT__d_s_s_s[19 * 6];
394                     for(n = 0; n < 19; ++n)  // loop over orders of auxiliary function
395                     {
396 
397                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
398                         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]);
399                         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]);
400 
401                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
402                         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]);
403 
404                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
405                         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]);
406 
407                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
408                         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]);
409                         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]);
410 
411                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
412                         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]);
413 
414                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
415                         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]);
416                         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]);
417 
418                     }
419 
420 
421 
422                     // Forming PRIM_INT__f_s_s_s[18 * 10];
423                     for(n = 0; n < 18; ++n)  // loop over orders of auxiliary function
424                     {
425 
426                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
427                         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]);
428                         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]);
429 
430                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
431                         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]);
432 
433                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
434                         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]);
435 
436                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
437                         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]);
438 
439                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
440                         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]);
441 
442                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
443                         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]);
444 
445                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
446                         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]);
447                         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]);
448 
449                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
450                         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]);
451 
452                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
453                         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]);
454 
455                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
456                         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]);
457                         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]);
458 
459                     }
460 
461 
462                     VRR_I_g_s_s_s(
463                             PRIM_INT__g_s_s_s,
464                             PRIM_INT__f_s_s_s,
465                             PRIM_INT__d_s_s_s,
466                             P_PA,
467                             a_over_p,
468                             aop_PQ,
469                             one_over_2p,
470                             17);
471 
472 
473                     VRR_I_h_s_s_s(
474                             PRIM_INT__h_s_s_s,
475                             PRIM_INT__g_s_s_s,
476                             PRIM_INT__f_s_s_s,
477                             P_PA,
478                             a_over_p,
479                             aop_PQ,
480                             one_over_2p,
481                             16);
482 
483 
484                     ostei_general_vrr1_I(6, 15,
485                             one_over_2p, a_over_p, aop_PQ, P_PA,
486                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
487 
488 
489                     ostei_general_vrr1_I(7, 14,
490                             one_over_2p, a_over_p, aop_PQ, P_PA,
491                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
492 
493 
494                     ostei_general_vrr_K(7, 0, 1, 0, 6,
495                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
496                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
497 
498 
499                     ostei_general_vrr_K(6, 0, 1, 0, 6,
500                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
501                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
502 
503 
504                     ostei_general_vrr_K(7, 0, 2, 0, 5,
505                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
506                             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);
507 
508 
509                     ostei_general_vrr_K(5, 0, 1, 0, 6,
510                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
511                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
512 
513 
514                     ostei_general_vrr_K(6, 0, 2, 0, 5,
515                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
516                             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);
517 
518 
519                     ostei_general_vrr_K(7, 0, 3, 0, 4,
520                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
521                             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);
522 
523 
524                     VRR_K_g_s_p_s(
525                             PRIM_INT__g_s_p_s,
526                             PRIM_INT__g_s_s_s,
527                             PRIM_INT__f_s_s_s,
528                             Q_PA,
529                             aoq_PQ,
530                             one_over_2pq,
531                             6);
532 
533 
534                     ostei_general_vrr_K(5, 0, 2, 0, 5,
535                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
536                             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);
537 
538 
539                     ostei_general_vrr_K(6, 0, 3, 0, 4,
540                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
541                             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);
542 
543 
544                     ostei_general_vrr_K(7, 0, 4, 0, 3,
545                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
546                             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);
547 
548 
549                     VRR_K_f_s_p_s(
550                             PRIM_INT__f_s_p_s,
551                             PRIM_INT__f_s_s_s,
552                             PRIM_INT__d_s_s_s,
553                             Q_PA,
554                             aoq_PQ,
555                             one_over_2pq,
556                             6);
557 
558 
559                     ostei_general_vrr_K(4, 0, 2, 0, 5,
560                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
561                             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);
562 
563 
564                     ostei_general_vrr_K(5, 0, 3, 0, 4,
565                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
566                             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);
567 
568 
569                     ostei_general_vrr_K(6, 0, 4, 0, 3,
570                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
571                             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);
572 
573 
574                     ostei_general_vrr_K(7, 0, 5, 0, 2,
575                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
576                             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);
577 
578 
579 
580                     // Forming PRIM_INT__d_s_p_s[6 * 18];
581                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
582                     {
583 
584                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
585                         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]);
586                         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]);
587 
588                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
589                         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]);
590 
591                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
592                         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]);
593 
594                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
595                         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]);
596                         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]);
597 
598                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
599                         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]);
600                         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]);
601 
602                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
603                         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]);
604 
605                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
606                         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]);
607                         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]);
608 
609                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
610                         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]);
611 
612                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
613                         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]);
614                         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]);
615 
616                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
617                         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]);
618 
619                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
620                         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]);
621                         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]);
622 
623                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
624                         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]);
625 
626                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
627                         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]);
628 
629                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
630                         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]);
631                         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]);
632 
633                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
634                         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]);
635                         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]);
636 
637                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
638                         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]);
639 
640                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
641                         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]);
642 
643                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
644                         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]);
645                         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]);
646 
647                     }
648 
649 
650                     VRR_K_f_s_d_s(
651                             PRIM_INT__f_s_d_s,
652                             PRIM_INT__f_s_p_s,
653                             PRIM_INT__f_s_s_s,
654                             PRIM_INT__d_s_p_s,
655                             Q_PA,
656                             a_over_q,
657                             aoq_PQ,
658                             one_over_2pq,
659                             one_over_2q,
660                             5);
661 
662 
663                     ostei_general_vrr_K(4, 0, 3, 0, 4,
664                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
665                             PRIM_INT__g_s_d_s, PRIM_INT__g_s_p_s, NULL, PRIM_INT__f_s_d_s, NULL, PRIM_INT__g_s_f_s);
666 
667 
668                     ostei_general_vrr_K(5, 0, 4, 0, 3,
669                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
670                             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);
671 
672 
673                     ostei_general_vrr_K(6, 0, 5, 0, 2,
674                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
675                             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);
676 
677 
678                     ostei_general_vrr_K(7, 0, 6, 0, 1,
679                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
680                             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);
681 
682 
683                     ostei_general_vrr1_I(8, 13,
684                             one_over_2p, a_over_p, aop_PQ, P_PA,
685                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
686 
687 
688                     ostei_general_vrr_K(8, 0, 1, 0, 6,
689                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
690                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
691 
692 
693                     ostei_general_vrr_K(8, 0, 2, 0, 5,
694                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
695                             PRIM_INT__l_s_p_s, PRIM_INT__l_s_s_s, NULL, PRIM_INT__k_s_p_s, NULL, PRIM_INT__l_s_d_s);
696 
697 
698                     ostei_general_vrr_K(8, 0, 3, 0, 4,
699                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
700                             PRIM_INT__l_s_d_s, PRIM_INT__l_s_p_s, NULL, PRIM_INT__k_s_d_s, NULL, PRIM_INT__l_s_f_s);
701 
702 
703                     ostei_general_vrr_K(8, 0, 4, 0, 3,
704                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
705                             PRIM_INT__l_s_f_s, PRIM_INT__l_s_d_s, NULL, PRIM_INT__k_s_f_s, NULL, PRIM_INT__l_s_g_s);
706 
707 
708                     ostei_general_vrr_K(8, 0, 5, 0, 2,
709                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
710                             PRIM_INT__l_s_g_s, PRIM_INT__l_s_f_s, NULL, PRIM_INT__k_s_g_s, NULL, PRIM_INT__l_s_h_s);
711 
712 
713                     ostei_general_vrr_K(8, 0, 6, 0, 1,
714                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
715                             PRIM_INT__l_s_h_s, PRIM_INT__l_s_g_s, NULL, PRIM_INT__k_s_h_s, NULL, PRIM_INT__l_s_i_s);
716 
717 
718                     ostei_general_vrr1_I(9, 12,
719                             one_over_2p, a_over_p, aop_PQ, P_PA,
720                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
721 
722 
723                     ostei_general_vrr_K(9, 0, 1, 0, 6,
724                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
725                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
726 
727 
728                     ostei_general_vrr_K(9, 0, 2, 0, 5,
729                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
730                             PRIM_INT__m_s_p_s, PRIM_INT__m_s_s_s, NULL, PRIM_INT__l_s_p_s, NULL, PRIM_INT__m_s_d_s);
731 
732 
733                     ostei_general_vrr_K(9, 0, 3, 0, 4,
734                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
735                             PRIM_INT__m_s_d_s, PRIM_INT__m_s_p_s, NULL, PRIM_INT__l_s_d_s, NULL, PRIM_INT__m_s_f_s);
736 
737 
738                     ostei_general_vrr_K(9, 0, 4, 0, 3,
739                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
740                             PRIM_INT__m_s_f_s, PRIM_INT__m_s_d_s, NULL, PRIM_INT__l_s_f_s, NULL, PRIM_INT__m_s_g_s);
741 
742 
743                     ostei_general_vrr_K(9, 0, 5, 0, 2,
744                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
745                             PRIM_INT__m_s_g_s, PRIM_INT__m_s_f_s, NULL, PRIM_INT__l_s_g_s, NULL, PRIM_INT__m_s_h_s);
746 
747 
748                     ostei_general_vrr_K(9, 0, 6, 0, 1,
749                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
750                             PRIM_INT__m_s_h_s, PRIM_INT__m_s_g_s, NULL, PRIM_INT__l_s_h_s, NULL, PRIM_INT__m_s_i_s);
751 
752 
753                     ostei_general_vrr1_I(10, 11,
754                             one_over_2p, a_over_p, aop_PQ, P_PA,
755                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
756 
757 
758                     ostei_general_vrr_K(10, 0, 1, 0, 6,
759                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
760                             PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
761 
762 
763                     ostei_general_vrr_K(10, 0, 2, 0, 5,
764                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
765                             PRIM_INT__n_s_p_s, PRIM_INT__n_s_s_s, NULL, PRIM_INT__m_s_p_s, NULL, PRIM_INT__n_s_d_s);
766 
767 
768                     ostei_general_vrr_K(10, 0, 3, 0, 4,
769                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
770                             PRIM_INT__n_s_d_s, PRIM_INT__n_s_p_s, NULL, PRIM_INT__m_s_d_s, NULL, PRIM_INT__n_s_f_s);
771 
772 
773                     ostei_general_vrr_K(10, 0, 4, 0, 3,
774                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
775                             PRIM_INT__n_s_f_s, PRIM_INT__n_s_d_s, NULL, PRIM_INT__m_s_f_s, NULL, PRIM_INT__n_s_g_s);
776 
777 
778                     ostei_general_vrr_K(10, 0, 5, 0, 2,
779                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
780                             PRIM_INT__n_s_g_s, PRIM_INT__n_s_f_s, NULL, PRIM_INT__m_s_g_s, NULL, PRIM_INT__n_s_h_s);
781 
782 
783                     ostei_general_vrr_K(10, 0, 6, 0, 1,
784                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
785                             PRIM_INT__n_s_h_s, PRIM_INT__n_s_g_s, NULL, PRIM_INT__m_s_h_s, NULL, PRIM_INT__n_s_i_s);
786 
787 
788                     ostei_general_vrr1_I(11, 10,
789                             one_over_2p, a_over_p, aop_PQ, P_PA,
790                             PRIM_INT__n_s_s_s, PRIM_INT__m_s_s_s, PRIM_INT__o_s_s_s);
791 
792 
793                     ostei_general_vrr_K(11, 0, 1, 0, 6,
794                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
795                             PRIM_INT__o_s_s_s, NULL, NULL, PRIM_INT__n_s_s_s, NULL, PRIM_INT__o_s_p_s);
796 
797 
798                     ostei_general_vrr_K(11, 0, 2, 0, 5,
799                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
800                             PRIM_INT__o_s_p_s, PRIM_INT__o_s_s_s, NULL, PRIM_INT__n_s_p_s, NULL, PRIM_INT__o_s_d_s);
801 
802 
803                     ostei_general_vrr_K(11, 0, 3, 0, 4,
804                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
805                             PRIM_INT__o_s_d_s, PRIM_INT__o_s_p_s, NULL, PRIM_INT__n_s_d_s, NULL, PRIM_INT__o_s_f_s);
806 
807 
808                     ostei_general_vrr_K(11, 0, 4, 0, 3,
809                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
810                             PRIM_INT__o_s_f_s, PRIM_INT__o_s_d_s, NULL, PRIM_INT__n_s_f_s, NULL, PRIM_INT__o_s_g_s);
811 
812 
813                     ostei_general_vrr_K(11, 0, 5, 0, 2,
814                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
815                             PRIM_INT__o_s_g_s, PRIM_INT__o_s_f_s, NULL, PRIM_INT__n_s_g_s, NULL, PRIM_INT__o_s_h_s);
816 
817 
818                     ostei_general_vrr_K(11, 0, 6, 0, 1,
819                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
820                             PRIM_INT__o_s_h_s, PRIM_INT__o_s_g_s, NULL, PRIM_INT__n_s_h_s, NULL, PRIM_INT__o_s_i_s);
821 
822 
823                     ostei_general_vrr1_I(12, 9,
824                             one_over_2p, a_over_p, aop_PQ, P_PA,
825                             PRIM_INT__o_s_s_s, PRIM_INT__n_s_s_s, PRIM_INT__q_s_s_s);
826 
827 
828                     ostei_general_vrr_K(12, 0, 1, 0, 6,
829                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
830                             PRIM_INT__q_s_s_s, NULL, NULL, PRIM_INT__o_s_s_s, NULL, PRIM_INT__q_s_p_s);
831 
832 
833                     ostei_general_vrr_K(12, 0, 2, 0, 5,
834                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
835                             PRIM_INT__q_s_p_s, PRIM_INT__q_s_s_s, NULL, PRIM_INT__o_s_p_s, NULL, PRIM_INT__q_s_d_s);
836 
837 
838                     ostei_general_vrr_K(12, 0, 3, 0, 4,
839                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
840                             PRIM_INT__q_s_d_s, PRIM_INT__q_s_p_s, NULL, PRIM_INT__o_s_d_s, NULL, PRIM_INT__q_s_f_s);
841 
842 
843                     ostei_general_vrr_K(12, 0, 4, 0, 3,
844                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
845                             PRIM_INT__q_s_f_s, PRIM_INT__q_s_d_s, NULL, PRIM_INT__o_s_f_s, NULL, PRIM_INT__q_s_g_s);
846 
847 
848                     ostei_general_vrr_K(12, 0, 5, 0, 2,
849                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
850                             PRIM_INT__q_s_g_s, PRIM_INT__q_s_f_s, NULL, PRIM_INT__o_s_g_s, NULL, PRIM_INT__q_s_h_s);
851 
852 
853                     ostei_general_vrr_K(12, 0, 6, 0, 1,
854                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
855                             PRIM_INT__q_s_h_s, PRIM_INT__q_s_g_s, NULL, PRIM_INT__o_s_h_s, NULL, PRIM_INT__q_s_i_s);
856 
857 
858                     ostei_general_vrr1_I(13, 8,
859                             one_over_2p, a_over_p, aop_PQ, P_PA,
860                             PRIM_INT__q_s_s_s, PRIM_INT__o_s_s_s, PRIM_INT__r_s_s_s);
861 
862 
863                     ostei_general_vrr_K(13, 0, 1, 0, 6,
864                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
865                             PRIM_INT__r_s_s_s, NULL, NULL, PRIM_INT__q_s_s_s, NULL, PRIM_INT__r_s_p_s);
866 
867 
868                     ostei_general_vrr_K(13, 0, 2, 0, 5,
869                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
870                             PRIM_INT__r_s_p_s, PRIM_INT__r_s_s_s, NULL, PRIM_INT__q_s_p_s, NULL, PRIM_INT__r_s_d_s);
871 
872 
873                     ostei_general_vrr_K(13, 0, 3, 0, 4,
874                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
875                             PRIM_INT__r_s_d_s, PRIM_INT__r_s_p_s, NULL, PRIM_INT__q_s_d_s, NULL, PRIM_INT__r_s_f_s);
876 
877 
878                     ostei_general_vrr_K(13, 0, 4, 0, 3,
879                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
880                             PRIM_INT__r_s_f_s, PRIM_INT__r_s_d_s, NULL, PRIM_INT__q_s_f_s, NULL, PRIM_INT__r_s_g_s);
881 
882 
883                     ostei_general_vrr_K(13, 0, 5, 0, 2,
884                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
885                             PRIM_INT__r_s_g_s, PRIM_INT__r_s_f_s, NULL, PRIM_INT__q_s_g_s, NULL, PRIM_INT__r_s_h_s);
886 
887 
888                     ostei_general_vrr_K(13, 0, 6, 0, 1,
889                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
890                             PRIM_INT__r_s_h_s, PRIM_INT__r_s_g_s, NULL, PRIM_INT__q_s_h_s, NULL, PRIM_INT__r_s_i_s);
891 
892 
893                     ostei_general_vrr1_I(14, 7,
894                             one_over_2p, a_over_p, aop_PQ, P_PA,
895                             PRIM_INT__r_s_s_s, PRIM_INT__q_s_s_s, PRIM_INT__t_s_s_s);
896 
897 
898                     ostei_general_vrr_K(14, 0, 1, 0, 6,
899                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
900                             PRIM_INT__t_s_s_s, NULL, NULL, PRIM_INT__r_s_s_s, NULL, PRIM_INT__t_s_p_s);
901 
902 
903                     ostei_general_vrr_K(14, 0, 2, 0, 5,
904                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
905                             PRIM_INT__t_s_p_s, PRIM_INT__t_s_s_s, NULL, PRIM_INT__r_s_p_s, NULL, PRIM_INT__t_s_d_s);
906 
907 
908                     ostei_general_vrr_K(14, 0, 3, 0, 4,
909                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
910                             PRIM_INT__t_s_d_s, PRIM_INT__t_s_p_s, NULL, PRIM_INT__r_s_d_s, NULL, PRIM_INT__t_s_f_s);
911 
912 
913                     ostei_general_vrr_K(14, 0, 4, 0, 3,
914                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
915                             PRIM_INT__t_s_f_s, PRIM_INT__t_s_d_s, NULL, PRIM_INT__r_s_f_s, NULL, PRIM_INT__t_s_g_s);
916 
917 
918                     ostei_general_vrr_K(14, 0, 5, 0, 2,
919                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
920                             PRIM_INT__t_s_g_s, PRIM_INT__t_s_f_s, NULL, PRIM_INT__r_s_g_s, NULL, PRIM_INT__t_s_h_s);
921 
922 
923                     ostei_general_vrr_K(14, 0, 6, 0, 1,
924                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
925                             PRIM_INT__t_s_h_s, PRIM_INT__t_s_g_s, NULL, PRIM_INT__r_s_h_s, NULL, PRIM_INT__t_s_i_s);
926 
927 
928 
929 
930                     ////////////////////////////////////
931                     // Accumulate contracted integrals
932                     ////////////////////////////////////
933                     if(lastoffset == 0)
934                     {
935                         contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
936                         contract_all(1260, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
937                         contract_all(1540, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
938                         contract_all(1848, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
939                         contract_all(2184, PRIM_INT__o_s_i_s, PRIM_PTR_INT__o_s_i_s);
940                         contract_all(2548, PRIM_INT__q_s_i_s, PRIM_PTR_INT__q_s_i_s);
941                         contract_all(2940, PRIM_INT__r_s_i_s, PRIM_PTR_INT__r_s_i_s);
942                         contract_all(3360, PRIM_INT__t_s_i_s, PRIM_PTR_INT__t_s_i_s);
943                     }
944                     else
945                     {
946                         contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
947                         contract(1260, shelloffsets, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
948                         contract(1540, shelloffsets, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
949                         contract(1848, shelloffsets, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
950                         contract(2184, shelloffsets, PRIM_INT__o_s_i_s, PRIM_PTR_INT__o_s_i_s);
951                         contract(2548, shelloffsets, PRIM_INT__q_s_i_s, PRIM_PTR_INT__q_s_i_s);
952                         contract(2940, shelloffsets, PRIM_INT__r_s_i_s, PRIM_PTR_INT__r_s_i_s);
953                         contract(3360, shelloffsets, PRIM_INT__t_s_i_s, PRIM_PTR_INT__t_s_i_s);
954                         PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
955                         PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
956                         PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
957                         PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
958                         PRIM_PTR_INT__o_s_i_s += lastoffset*2184;
959                         PRIM_PTR_INT__q_s_i_s += lastoffset*2548;
960                         PRIM_PTR_INT__r_s_i_s += lastoffset*2940;
961                         PRIM_PTR_INT__t_s_i_s += lastoffset*3360;
962                     }
963 
964                 }  // close loop over j
965             }  // close loop over i
966 
967             //Advance to the next batch
968             jstart = SIMINT_SIMD_ROUND(jend);
969 
970             //////////////////////////////////////////////
971             // Contracted integrals: Horizontal recurrance
972             //////////////////////////////////////////////
973 
974 
975             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
976 
977 
978             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
979             {
980 
981                 // set up HRR pointers
982                 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
983                 double const * restrict HRR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
984                 double const * restrict HRR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
985                 double const * restrict HRR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
986                 double const * restrict HRR_INT__o_s_i_s = INT__o_s_i_s + abcd * 2184;
987                 double const * restrict HRR_INT__q_s_i_s = INT__q_s_i_s + abcd * 2548;
988                 double const * restrict HRR_INT__r_s_i_s = INT__r_s_i_s + abcd * 2940;
989                 double const * restrict HRR_INT__t_s_i_s = INT__t_s_i_s + abcd * 3360;
990                 double * restrict HRR_INT__k_k_i_s = INT__k_k_i_s + real_abcd * 36288;
991 
992                 // form INT__k_p_i_s
993                 ostei_general_hrr_J(7, 1, 6, 0, hAB, HRR_INT__l_s_i_s, HRR_INT__k_s_i_s, HRR_INT__k_p_i_s);
994 
995                 // form INT__l_p_i_s
996                 ostei_general_hrr_J(8, 1, 6, 0, hAB, HRR_INT__m_s_i_s, HRR_INT__l_s_i_s, HRR_INT__l_p_i_s);
997 
998                 // form INT__m_p_i_s
999                 ostei_general_hrr_J(9, 1, 6, 0, hAB, HRR_INT__n_s_i_s, HRR_INT__m_s_i_s, HRR_INT__m_p_i_s);
1000 
1001                 // form INT__n_p_i_s
1002                 ostei_general_hrr_J(10, 1, 6, 0, hAB, HRR_INT__o_s_i_s, HRR_INT__n_s_i_s, HRR_INT__n_p_i_s);
1003 
1004                 // form INT__o_p_i_s
1005                 ostei_general_hrr_J(11, 1, 6, 0, hAB, HRR_INT__q_s_i_s, HRR_INT__o_s_i_s, HRR_INT__o_p_i_s);
1006 
1007                 // form INT__q_p_i_s
1008                 ostei_general_hrr_J(12, 1, 6, 0, hAB, HRR_INT__r_s_i_s, HRR_INT__q_s_i_s, HRR_INT__q_p_i_s);
1009 
1010                 // form INT__r_p_i_s
1011                 ostei_general_hrr_J(13, 1, 6, 0, hAB, HRR_INT__t_s_i_s, HRR_INT__r_s_i_s, HRR_INT__r_p_i_s);
1012 
1013                 // form INT__k_d_i_s
1014                 ostei_general_hrr_J(7, 2, 6, 0, hAB, HRR_INT__l_p_i_s, HRR_INT__k_p_i_s, HRR_INT__k_d_i_s);
1015 
1016                 // form INT__l_d_i_s
1017                 ostei_general_hrr_J(8, 2, 6, 0, hAB, HRR_INT__m_p_i_s, HRR_INT__l_p_i_s, HRR_INT__l_d_i_s);
1018 
1019                 // form INT__m_d_i_s
1020                 ostei_general_hrr_J(9, 2, 6, 0, hAB, HRR_INT__n_p_i_s, HRR_INT__m_p_i_s, HRR_INT__m_d_i_s);
1021 
1022                 // form INT__n_d_i_s
1023                 ostei_general_hrr_J(10, 2, 6, 0, hAB, HRR_INT__o_p_i_s, HRR_INT__n_p_i_s, HRR_INT__n_d_i_s);
1024 
1025                 // form INT__o_d_i_s
1026                 ostei_general_hrr_J(11, 2, 6, 0, hAB, HRR_INT__q_p_i_s, HRR_INT__o_p_i_s, HRR_INT__o_d_i_s);
1027 
1028                 // form INT__q_d_i_s
1029                 ostei_general_hrr_J(12, 2, 6, 0, hAB, HRR_INT__r_p_i_s, HRR_INT__q_p_i_s, HRR_INT__q_d_i_s);
1030 
1031                 // form INT__k_f_i_s
1032                 ostei_general_hrr_J(7, 3, 6, 0, hAB, HRR_INT__l_d_i_s, HRR_INT__k_d_i_s, HRR_INT__k_f_i_s);
1033 
1034                 // form INT__l_f_i_s
1035                 ostei_general_hrr_J(8, 3, 6, 0, hAB, HRR_INT__m_d_i_s, HRR_INT__l_d_i_s, HRR_INT__l_f_i_s);
1036 
1037                 // form INT__m_f_i_s
1038                 ostei_general_hrr_J(9, 3, 6, 0, hAB, HRR_INT__n_d_i_s, HRR_INT__m_d_i_s, HRR_INT__m_f_i_s);
1039 
1040                 // form INT__n_f_i_s
1041                 ostei_general_hrr_J(10, 3, 6, 0, hAB, HRR_INT__o_d_i_s, HRR_INT__n_d_i_s, HRR_INT__n_f_i_s);
1042 
1043                 // form INT__o_f_i_s
1044                 ostei_general_hrr_J(11, 3, 6, 0, hAB, HRR_INT__q_d_i_s, HRR_INT__o_d_i_s, HRR_INT__o_f_i_s);
1045 
1046                 // form INT__k_g_i_s
1047                 ostei_general_hrr_J(7, 4, 6, 0, hAB, HRR_INT__l_f_i_s, HRR_INT__k_f_i_s, HRR_INT__k_g_i_s);
1048 
1049                 // form INT__l_g_i_s
1050                 ostei_general_hrr_J(8, 4, 6, 0, hAB, HRR_INT__m_f_i_s, HRR_INT__l_f_i_s, HRR_INT__l_g_i_s);
1051 
1052                 // form INT__m_g_i_s
1053                 ostei_general_hrr_J(9, 4, 6, 0, hAB, HRR_INT__n_f_i_s, HRR_INT__m_f_i_s, HRR_INT__m_g_i_s);
1054 
1055                 // form INT__n_g_i_s
1056                 ostei_general_hrr_J(10, 4, 6, 0, hAB, HRR_INT__o_f_i_s, HRR_INT__n_f_i_s, HRR_INT__n_g_i_s);
1057 
1058                 // form INT__k_h_i_s
1059                 ostei_general_hrr_J(7, 5, 6, 0, hAB, HRR_INT__l_g_i_s, HRR_INT__k_g_i_s, HRR_INT__k_h_i_s);
1060 
1061                 // form INT__l_h_i_s
1062                 ostei_general_hrr_J(8, 5, 6, 0, hAB, HRR_INT__m_g_i_s, HRR_INT__l_g_i_s, HRR_INT__l_h_i_s);
1063 
1064                 // form INT__m_h_i_s
1065                 ostei_general_hrr_J(9, 5, 6, 0, hAB, HRR_INT__n_g_i_s, HRR_INT__m_g_i_s, HRR_INT__m_h_i_s);
1066 
1067                 // form INT__k_i_i_s
1068                 ostei_general_hrr_J(7, 6, 6, 0, hAB, HRR_INT__l_h_i_s, HRR_INT__k_h_i_s, HRR_INT__k_i_i_s);
1069 
1070                 // form INT__l_i_i_s
1071                 ostei_general_hrr_J(8, 6, 6, 0, hAB, HRR_INT__m_h_i_s, HRR_INT__l_h_i_s, HRR_INT__l_i_i_s);
1072 
1073                 // form INT__k_k_i_s
1074                 ostei_general_hrr_J(7, 7, 6, 0, hAB, HRR_INT__l_i_i_s, HRR_INT__k_i_i_s, HRR_INT__k_k_i_s);
1075 
1076 
1077             }  // close HRR loop
1078 
1079 
1080         }   // close loop cdbatch
1081 
1082         istart = iend;
1083     }  // close loop over ab
1084 
1085     return P.nshell12_clip * Q.nshell12_clip;
1086 }
1087 
ostei_k_k_s_i(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_k_s_i)1088 int ostei_k_k_s_i(struct simint_multi_shellpair const P,
1089                   struct simint_multi_shellpair const Q,
1090                   double screen_tol,
1091                   double * const restrict work,
1092                   double * const restrict INT__k_k_s_i)
1093 {
1094     double Q_AB[3*Q.nshell12];
1095     struct simint_multi_shellpair Q_tmp = Q;
1096     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1097     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1098     Q_tmp.AB_x = Q_AB;
1099     Q_tmp.AB_y = Q_AB + Q.nshell12;
1100     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1101 
1102     for(int i = 0; i < Q.nshell12; i++)
1103     {
1104         Q_tmp.AB_x[i] = -Q.AB_x[i];
1105         Q_tmp.AB_y[i] = -Q.AB_y[i];
1106         Q_tmp.AB_z[i] = -Q.AB_z[i];
1107     }
1108 
1109     int ret = ostei_k_k_i_s(P, Q_tmp, screen_tol, work, INT__k_k_s_i);
1110     double buffer[36288] SIMINT_ALIGN_ARRAY_DBL;
1111 
1112     for(int q = 0; q < ret; q++)
1113     {
1114         int idx = 0;
1115         for(int a = 0; a < 36; ++a)
1116         for(int b = 0; b < 36; ++b)
1117         for(int c = 0; c < 1; ++c)
1118         for(int d = 0; d < 28; ++d)
1119             buffer[idx++] = INT__k_k_s_i[q*36288+a*1008+b*28+d*1+c];
1120 
1121         memcpy(INT__k_k_s_i+q*36288, buffer, 36288*sizeof(double));
1122     }
1123 
1124     return ret;
1125 }
1126 
1127