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_g_g_i_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_g_i_d)8 int ostei_g_g_i_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__g_g_i_d)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__g_g_i_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__g_s_i_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__g_s_k_s = work + (SIMINT_NSHELL_SIMD * 420);
31     double * const INT__g_s_l_s = work + (SIMINT_NSHELL_SIMD * 960);
32     double * const INT__h_s_i_s = work + (SIMINT_NSHELL_SIMD * 1635);
33     double * const INT__h_s_k_s = work + (SIMINT_NSHELL_SIMD * 2223);
34     double * const INT__h_s_l_s = work + (SIMINT_NSHELL_SIMD * 2979);
35     double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 3924);
36     double * const INT__i_s_k_s = work + (SIMINT_NSHELL_SIMD * 4708);
37     double * const INT__i_s_l_s = work + (SIMINT_NSHELL_SIMD * 5716);
38     double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 6976);
39     double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 7984);
40     double * const INT__k_s_l_s = work + (SIMINT_NSHELL_SIMD * 9280);
41     double * const INT__l_s_i_s = work + (SIMINT_NSHELL_SIMD * 10900);
42     double * const INT__l_s_k_s = work + (SIMINT_NSHELL_SIMD * 12160);
43     double * const INT__l_s_l_s = work + (SIMINT_NSHELL_SIMD * 13780);
44     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*15805);
45     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 17;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 41;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 83;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 143;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 218;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 266;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 338;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 464;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 644;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 869;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 1121;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 1211;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 1355;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 1607;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 1967;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 2417;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_i_s = primwork + 2921;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 3425;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 3565;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 3805;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 4225;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 4825;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 5575;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_i_s = primwork + 6415;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_k_s = primwork + 7255;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 7975;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 8170;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 8530;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 9160;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 10060;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 11185;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 12445;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_k_s = primwork + 13705;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_l_s = primwork + 14785;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 15460;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 15712;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 16216;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 17098;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 18358;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 19933;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 21697;
87     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 23461;
88     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_l_s = primwork + 24973;
89     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 25918;
90     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 26226;
91     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 26898;
92     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 28074;
93     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 29754;
94     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 31854;
95     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 34206;
96     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 36558;
97     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_l_s = primwork + 38574;
98     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 39834;
99     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 40194;
100     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 41058;
101     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 42570;
102     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 44730;
103     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 47430;
104     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 50454;
105     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 53478;
106     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_l_s = primwork + 56070;
107     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 57690;
108     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 58095;
109     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 59175;
110     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 61065;
111     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 63765;
112     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_h_s = primwork + 67140;
113     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_i_s = primwork + 70920;
114     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_k_s = primwork + 74700;
115     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_l_s = primwork + 77940;
116     double * const hrrwork = (double *)(primwork + 79965);
117     double * const HRR_INT__g_p_i_s = hrrwork + 0;
118     double * const HRR_INT__g_p_k_s = hrrwork + 1260;
119     double * const HRR_INT__g_p_l_s = hrrwork + 2880;
120     double * const HRR_INT__g_d_i_s = hrrwork + 4905;
121     double * const HRR_INT__g_d_k_s = hrrwork + 7425;
122     double * const HRR_INT__g_d_l_s = hrrwork + 10665;
123     double * const HRR_INT__g_f_i_s = hrrwork + 14715;
124     double * const HRR_INT__g_f_k_s = hrrwork + 18915;
125     double * const HRR_INT__g_f_l_s = hrrwork + 24315;
126     double * const HRR_INT__g_g_i_s = hrrwork + 31065;
127     double * const HRR_INT__g_g_i_p = hrrwork + 37365;
128     double * const HRR_INT__g_g_k_s = hrrwork + 56265;
129     double * const HRR_INT__g_g_k_p = hrrwork + 64365;
130     double * const HRR_INT__g_g_l_s = hrrwork + 88665;
131     double * const HRR_INT__h_p_i_s = hrrwork + 98790;
132     double * const HRR_INT__h_p_k_s = hrrwork + 100554;
133     double * const HRR_INT__h_p_l_s = hrrwork + 102822;
134     double * const HRR_INT__h_d_i_s = hrrwork + 105657;
135     double * const HRR_INT__h_d_k_s = hrrwork + 109185;
136     double * const HRR_INT__h_d_l_s = hrrwork + 113721;
137     double * const HRR_INT__h_f_i_s = hrrwork + 119391;
138     double * const HRR_INT__h_f_k_s = hrrwork + 125271;
139     double * const HRR_INT__h_f_l_s = hrrwork + 132831;
140     double * const HRR_INT__i_p_i_s = hrrwork + 142281;
141     double * const HRR_INT__i_p_k_s = hrrwork + 144633;
142     double * const HRR_INT__i_p_l_s = hrrwork + 147657;
143     double * const HRR_INT__i_d_i_s = hrrwork + 151437;
144     double * const HRR_INT__i_d_k_s = hrrwork + 156141;
145     double * const HRR_INT__i_d_l_s = hrrwork + 162189;
146     double * const HRR_INT__k_p_i_s = hrrwork + 169749;
147     double * const HRR_INT__k_p_k_s = hrrwork + 172773;
148     double * const HRR_INT__k_p_l_s = hrrwork + 176661;
149 
150 
151     // Create constants
152     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
153     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
154     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
155     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
156     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
157     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
158     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
159     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
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 * 15805 * 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__g_s_i_s = INT__g_s_i_s + abcd * 420;
204                 double * restrict PRIM_PTR_INT__g_s_k_s = INT__g_s_k_s + abcd * 540;
205                 double * restrict PRIM_PTR_INT__g_s_l_s = INT__g_s_l_s + abcd * 675;
206                 double * restrict PRIM_PTR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
207                 double * restrict PRIM_PTR_INT__h_s_k_s = INT__h_s_k_s + abcd * 756;
208                 double * restrict PRIM_PTR_INT__h_s_l_s = INT__h_s_l_s + abcd * 945;
209                 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
210                 double * restrict PRIM_PTR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
211                 double * restrict PRIM_PTR_INT__i_s_l_s = INT__i_s_l_s + abcd * 1260;
212                 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
213                 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
214                 double * restrict PRIM_PTR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
215                 double * restrict PRIM_PTR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
216                 double * restrict PRIM_PTR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
217                 double * restrict PRIM_PTR_INT__l_s_l_s = INT__l_s_l_s + abcd * 2025;
218 
219 
220 
221                 // Load these one per loop over i
222                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
223                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
224                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
225 
226                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
227 
228                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
229                 {
230                     // calculate the shell offsets
231                     // these are the offset from the shell pointed to by cd
232                     // for each element
233                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
234                     int lastoffset = 0;
235                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
236 
237                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
238                     {
239                         // Handle if the first element of the vector is a new shell
240                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
241                         {
242                             nprim_icd += Q.nprim12[cd + (++icd)];
243                             PRIM_PTR_INT__g_s_i_s += 420;
244                             PRIM_PTR_INT__g_s_k_s += 540;
245                             PRIM_PTR_INT__g_s_l_s += 675;
246                             PRIM_PTR_INT__h_s_i_s += 588;
247                             PRIM_PTR_INT__h_s_k_s += 756;
248                             PRIM_PTR_INT__h_s_l_s += 945;
249                             PRIM_PTR_INT__i_s_i_s += 784;
250                             PRIM_PTR_INT__i_s_k_s += 1008;
251                             PRIM_PTR_INT__i_s_l_s += 1260;
252                             PRIM_PTR_INT__k_s_i_s += 1008;
253                             PRIM_PTR_INT__k_s_k_s += 1296;
254                             PRIM_PTR_INT__k_s_l_s += 1620;
255                             PRIM_PTR_INT__l_s_i_s += 1260;
256                             PRIM_PTR_INT__l_s_k_s += 1620;
257                             PRIM_PTR_INT__l_s_l_s += 2025;
258                         }
259                         iprimcd++;
260                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
261                         {
262                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
263                             {
264                                 shelloffsets[n] = shelloffsets[n-1] + 1;
265                                 lastoffset++;
266                                 nprim_icd += Q.nprim12[cd + (++icd)];
267                             }
268                             else
269                                 shelloffsets[n] = shelloffsets[n-1];
270                             iprimcd++;
271                         }
272                     }
273                     else
274                         iprimcd += SIMINT_SIMD_LEN;
275 
276                     // Do we have to compute this vector (or has it been screened out)?
277                     // (not_screened != 0 means we have to do this vector)
278                     if(check_screen)
279                     {
280                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
281                         if(vmax < screen_tol)
282                         {
283                             PRIM_PTR_INT__g_s_i_s += lastoffset*420;
284                             PRIM_PTR_INT__g_s_k_s += lastoffset*540;
285                             PRIM_PTR_INT__g_s_l_s += lastoffset*675;
286                             PRIM_PTR_INT__h_s_i_s += lastoffset*588;
287                             PRIM_PTR_INT__h_s_k_s += lastoffset*756;
288                             PRIM_PTR_INT__h_s_l_s += lastoffset*945;
289                             PRIM_PTR_INT__i_s_i_s += lastoffset*784;
290                             PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
291                             PRIM_PTR_INT__i_s_l_s += lastoffset*1260;
292                             PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
293                             PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
294                             PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
295                             PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
296                             PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
297                             PRIM_PTR_INT__l_s_l_s += lastoffset*2025;
298                             continue;
299                         }
300                     }
301 
302                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
303                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
304                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
305                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
306 
307 
308                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
309                     SIMINT_DBLTYPE PQ[3];
310                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
311                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
312                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
313                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
314                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
315                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
316 
317                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
318                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
319                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
320                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
321                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
322                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
323                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
324 
325                     // NOTE: Minus sign!
326                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
327                     SIMINT_DBLTYPE aop_PQ[3];
328                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
329                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
330                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
331 
332                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
333                     SIMINT_DBLTYPE aoq_PQ[3];
334                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
335                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
336                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
337                     // Put a minus sign here so we don't have to in RR routines
338                     a_over_q = SIMINT_NEG(a_over_q);
339 
340 
341                     //////////////////////////////////////////////
342                     // Fjt function section
343                     // Maximum v value: 16
344                     //////////////////////////////////////////////
345                     // The parameter to the Fjt function
346                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
347 
348 
349                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
350 
351 
352                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 16);
353                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
354                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
355                     for(n = 0; n <= 16; n++)
356                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
357 
358                     //////////////////////////////////////////////
359                     // Primitive integrals: Vertical recurrance
360                     //////////////////////////////////////////////
361 
362                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
363                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
364                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
365                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
366                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
367                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
368                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
369                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
370                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
371                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
372                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
373                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
374                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
375                     const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
376                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
377                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
378                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
379                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
380                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
381                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
382                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
383                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
384 
385 
386 
387                     // Forming PRIM_INT__p_s_s_s[16 * 3];
388                     for(n = 0; n < 16; ++n)  // loop over orders of auxiliary function
389                     {
390 
391                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
392                         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]);
393 
394                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
395                         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]);
396 
397                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
398                         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]);
399 
400                     }
401 
402 
403 
404                     // Forming PRIM_INT__d_s_s_s[15 * 6];
405                     for(n = 0; n < 15; ++n)  // loop over orders of auxiliary function
406                     {
407 
408                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
409                         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]);
410                         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]);
411 
412                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
413                         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]);
414 
415                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
416                         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]);
417 
418                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
419                         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]);
420                         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]);
421 
422                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
423                         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]);
424 
425                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
426                         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]);
427                         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]);
428 
429                     }
430 
431 
432 
433                     // Forming PRIM_INT__f_s_s_s[14 * 10];
434                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
435                     {
436 
437                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
438                         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]);
439                         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]);
440 
441                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
442                         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]);
443 
444                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
445                         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]);
446 
447                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
448                         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]);
449 
450                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
451                         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]);
452 
453                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
454                         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]);
455 
456                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
457                         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]);
458                         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]);
459 
460                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
461                         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]);
462 
463                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
464                         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]);
465 
466                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
467                         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]);
468                         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]);
469 
470                     }
471 
472 
473                     VRR_I_g_s_s_s(
474                             PRIM_INT__g_s_s_s,
475                             PRIM_INT__f_s_s_s,
476                             PRIM_INT__d_s_s_s,
477                             P_PA,
478                             a_over_p,
479                             aop_PQ,
480                             one_over_2p,
481                             13);
482 
483 
484                     VRR_K_g_s_p_s(
485                             PRIM_INT__g_s_p_s,
486                             PRIM_INT__g_s_s_s,
487                             PRIM_INT__f_s_s_s,
488                             Q_PA,
489                             aoq_PQ,
490                             one_over_2pq,
491                             8);
492 
493 
494                     VRR_K_f_s_p_s(
495                             PRIM_INT__f_s_p_s,
496                             PRIM_INT__f_s_s_s,
497                             PRIM_INT__d_s_s_s,
498                             Q_PA,
499                             aoq_PQ,
500                             one_over_2pq,
501                             8);
502 
503 
504                     ostei_general_vrr_K(4, 0, 2, 0, 7,
505                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
506                             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);
507 
508 
509 
510                     // Forming PRIM_INT__d_s_p_s[8 * 18];
511                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
512                     {
513 
514                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
515                         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]);
516                         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]);
517 
518                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
519                         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]);
520 
521                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
522                         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]);
523 
524                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
525                         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]);
526                         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]);
527 
528                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
529                         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]);
530                         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]);
531 
532                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
533                         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]);
534 
535                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
536                         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]);
537                         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]);
538 
539                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
540                         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]);
541 
542                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
543                         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]);
544                         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]);
545 
546                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
547                         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]);
548 
549                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
550                         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]);
551                         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]);
552 
553                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
554                         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]);
555 
556                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
557                         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]);
558 
559                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
560                         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]);
561                         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]);
562 
563                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
564                         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]);
565                         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]);
566 
567                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
568                         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]);
569 
570                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
571                         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]);
572 
573                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
574                         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]);
575                         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]);
576 
577                     }
578 
579 
580                     VRR_K_f_s_d_s(
581                             PRIM_INT__f_s_d_s,
582                             PRIM_INT__f_s_p_s,
583                             PRIM_INT__f_s_s_s,
584                             PRIM_INT__d_s_p_s,
585                             Q_PA,
586                             a_over_q,
587                             aoq_PQ,
588                             one_over_2pq,
589                             one_over_2q,
590                             7);
591 
592 
593                     ostei_general_vrr_K(4, 0, 3, 0, 6,
594                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
595                             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);
596 
597 
598 
599                     // Forming PRIM_INT__p_s_p_s[8 * 9];
600                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
601                     {
602 
603                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
604                         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]);
605                         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]);
606 
607                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
608                         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]);
609 
610                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
611                         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]);
612 
613                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
614                         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]);
615 
616                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
617                         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]);
618                         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]);
619 
620                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
621                         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]);
622 
623                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
624                         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]);
625 
626                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
627                         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]);
628 
629                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
630                         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]);
631                         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]);
632 
633                     }
634 
635 
636                     VRR_K_d_s_d_s(
637                             PRIM_INT__d_s_d_s,
638                             PRIM_INT__d_s_p_s,
639                             PRIM_INT__d_s_s_s,
640                             PRIM_INT__p_s_p_s,
641                             Q_PA,
642                             a_over_q,
643                             aoq_PQ,
644                             one_over_2pq,
645                             one_over_2q,
646                             7);
647 
648 
649                     ostei_general_vrr_K(3, 0, 3, 0, 6,
650                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
651                             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);
652 
653 
654                     ostei_general_vrr_K(4, 0, 4, 0, 5,
655                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
656                             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);
657 
658 
659 
660                     // Forming PRIM_INT__s_s_p_s[8 * 3];
661                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
662                     {
663 
664                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
665                         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]);
666 
667                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
668                         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]);
669 
670                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
671                         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]);
672 
673                     }
674 
675 
676 
677                     // Forming PRIM_INT__p_s_d_s[7 * 18];
678                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
679                     {
680 
681                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
682                         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]);
683                         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]);
684                         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]);
685 
686                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
687                         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]);
688                         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]);
689 
690                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
691                         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]);
692                         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]);
693 
694                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
695                         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]);
696                         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]);
697 
698                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
699                         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]);
700                         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]);
701                         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]);
702 
703                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
704                         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]);
705                         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]);
706 
707                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
708                         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]);
709                         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]);
710 
711                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
712                         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]);
713                         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]);
714 
715                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
716                         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]);
717                         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]);
718                         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]);
719 
720                     }
721 
722 
723                     VRR_K_d_s_f_s(
724                             PRIM_INT__d_s_f_s,
725                             PRIM_INT__d_s_d_s,
726                             PRIM_INT__d_s_p_s,
727                             PRIM_INT__p_s_d_s,
728                             Q_PA,
729                             a_over_q,
730                             aoq_PQ,
731                             one_over_2pq,
732                             one_over_2q,
733                             6);
734 
735 
736                     ostei_general_vrr_K(3, 0, 4, 0, 5,
737                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
738                             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);
739 
740 
741                     ostei_general_vrr_K(4, 0, 5, 0, 4,
742                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
743                             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);
744 
745 
746 
747                     // Forming PRIM_INT__s_s_d_s[7 * 6];
748                     for(n = 0; n < 7; ++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                             6);
777 
778 
779                     ostei_general_vrr_K(2, 0, 4, 0, 5,
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, 4,
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, 3,
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 
795                     // Forming PRIM_INT__s_s_f_s[6 * 10];
796                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
797                     {
798 
799                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
800                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 0]);
801                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__s_s_f_s[n * 10 + 0]);
802 
803                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
804                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 6]);
805                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__s_s_f_s[n * 10 + 6]);
806 
807                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
808                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 9]);
809                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__s_s_f_s[n * 10 + 9]);
810 
811                     }
812 
813 
814                     VRR_K_p_s_g_s(
815                             PRIM_INT__p_s_g_s,
816                             PRIM_INT__p_s_f_s,
817                             PRIM_INT__p_s_d_s,
818                             PRIM_INT__s_s_f_s,
819                             Q_PA,
820                             a_over_q,
821                             aoq_PQ,
822                             one_over_2pq,
823                             one_over_2q,
824                             5);
825 
826 
827                     ostei_general_vrr_K(2, 0, 5, 0, 4,
828                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
829                             PRIM_INT__d_s_g_s, PRIM_INT__d_s_f_s, NULL, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_h_s);
830 
831 
832                     ostei_general_vrr_K(3, 0, 6, 0, 3,
833                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
834                             PRIM_INT__f_s_h_s, PRIM_INT__f_s_g_s, NULL, PRIM_INT__d_s_h_s, NULL, PRIM_INT__f_s_i_s);
835 
836 
837                     ostei_general_vrr_K(4, 0, 7, 0, 2,
838                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
839                             PRIM_INT__g_s_i_s, PRIM_INT__g_s_h_s, NULL, PRIM_INT__f_s_i_s, NULL, PRIM_INT__g_s_k_s);
840 
841 
842                     VRR_I_h_s_s_s(
843                             PRIM_INT__h_s_s_s,
844                             PRIM_INT__g_s_s_s,
845                             PRIM_INT__f_s_s_s,
846                             P_PA,
847                             a_over_p,
848                             aop_PQ,
849                             one_over_2p,
850                             12);
851 
852 
853                     ostei_general_vrr_K(5, 0, 1, 0, 8,
854                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
855                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
856 
857 
858                     ostei_general_vrr_K(5, 0, 2, 0, 7,
859                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
860                             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);
861 
862 
863                     ostei_general_vrr_K(5, 0, 3, 0, 6,
864                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
865                             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);
866 
867 
868                     ostei_general_vrr_K(5, 0, 4, 0, 5,
869                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
870                             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);
871 
872 
873                     ostei_general_vrr_K(5, 0, 5, 0, 4,
874                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
875                             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);
876 
877 
878                     ostei_general_vrr_K(5, 0, 6, 0, 3,
879                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
880                             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);
881 
882 
883                     VRR_K_s_s_g_s(
884                             PRIM_INT__s_s_g_s,
885                             PRIM_INT__s_s_f_s,
886                             PRIM_INT__s_s_d_s,
887                             Q_PA,
888                             a_over_q,
889                             aoq_PQ,
890                             one_over_2q,
891                             5);
892 
893 
894                     ostei_general_vrr_K(1, 0, 5, 0, 4,
895                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
896                             PRIM_INT__p_s_g_s, PRIM_INT__p_s_f_s, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
897 
898 
899                     ostei_general_vrr_K(2, 0, 6, 0, 3,
900                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
901                             PRIM_INT__d_s_h_s, PRIM_INT__d_s_g_s, NULL, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_i_s);
902 
903 
904                     ostei_general_vrr_K(3, 0, 7, 0, 2,
905                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
906                             PRIM_INT__f_s_i_s, PRIM_INT__f_s_h_s, NULL, PRIM_INT__d_s_i_s, NULL, PRIM_INT__f_s_k_s);
907 
908 
909                     ostei_general_vrr_K(4, 0, 8, 0, 1,
910                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
911                             PRIM_INT__g_s_k_s, PRIM_INT__g_s_i_s, NULL, PRIM_INT__f_s_k_s, NULL, PRIM_INT__g_s_l_s);
912 
913 
914                     ostei_general_vrr_K(5, 0, 7, 0, 2,
915                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
916                             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);
917 
918 
919                     ostei_general_vrr1_I(6, 11,
920                             one_over_2p, a_over_p, aop_PQ, P_PA,
921                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
922 
923 
924                     ostei_general_vrr_K(6, 0, 1, 0, 8,
925                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
926                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
927 
928 
929                     ostei_general_vrr_K(6, 0, 2, 0, 7,
930                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
931                             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);
932 
933 
934                     ostei_general_vrr_K(6, 0, 3, 0, 6,
935                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
936                             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);
937 
938 
939                     ostei_general_vrr_K(6, 0, 4, 0, 5,
940                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
941                             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);
942 
943 
944                     ostei_general_vrr_K(6, 0, 5, 0, 4,
945                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
946                             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);
947 
948 
949                     ostei_general_vrr_K(6, 0, 6, 0, 3,
950                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
951                             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);
952 
953 
954                     ostei_general_vrr_K(5, 0, 8, 0, 1,
955                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
956                             PRIM_INT__h_s_k_s, PRIM_INT__h_s_i_s, NULL, PRIM_INT__g_s_k_s, NULL, PRIM_INT__h_s_l_s);
957 
958 
959                     ostei_general_vrr_K(6, 0, 7, 0, 2,
960                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
961                             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);
962 
963 
964                     ostei_general_vrr1_I(7, 10,
965                             one_over_2p, a_over_p, aop_PQ, P_PA,
966                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
967 
968 
969                     ostei_general_vrr_K(7, 0, 1, 0, 8,
970                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
971                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
972 
973 
974                     ostei_general_vrr_K(7, 0, 2, 0, 7,
975                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
976                             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);
977 
978 
979                     ostei_general_vrr_K(7, 0, 3, 0, 6,
980                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
981                             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);
982 
983 
984                     ostei_general_vrr_K(7, 0, 4, 0, 5,
985                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
986                             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);
987 
988 
989                     ostei_general_vrr_K(7, 0, 5, 0, 4,
990                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
991                             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);
992 
993 
994                     ostei_general_vrr_K(7, 0, 6, 0, 3,
995                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
996                             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);
997 
998 
999                     ostei_general_vrr_K(6, 0, 8, 0, 1,
1000                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1001                             PRIM_INT__i_s_k_s, PRIM_INT__i_s_i_s, NULL, PRIM_INT__h_s_k_s, NULL, PRIM_INT__i_s_l_s);
1002 
1003 
1004                     ostei_general_vrr_K(7, 0, 7, 0, 2,
1005                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1006                             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);
1007 
1008 
1009                     ostei_general_vrr1_I(8, 9,
1010                             one_over_2p, a_over_p, aop_PQ, P_PA,
1011                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
1012 
1013 
1014                     ostei_general_vrr_K(8, 0, 1, 0, 8,
1015                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1016                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
1017 
1018 
1019                     ostei_general_vrr_K(8, 0, 2, 0, 7,
1020                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1021                             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);
1022 
1023 
1024                     ostei_general_vrr_K(8, 0, 3, 0, 6,
1025                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1026                             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);
1027 
1028 
1029                     ostei_general_vrr_K(8, 0, 4, 0, 5,
1030                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1031                             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);
1032 
1033 
1034                     ostei_general_vrr_K(8, 0, 5, 0, 4,
1035                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1036                             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);
1037 
1038 
1039                     ostei_general_vrr_K(8, 0, 6, 0, 3,
1040                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1041                             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);
1042 
1043 
1044                     ostei_general_vrr_K(7, 0, 8, 0, 1,
1045                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1046                             PRIM_INT__k_s_k_s, PRIM_INT__k_s_i_s, NULL, PRIM_INT__i_s_k_s, NULL, PRIM_INT__k_s_l_s);
1047 
1048 
1049                     ostei_general_vrr_K(8, 0, 7, 0, 2,
1050                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1051                             PRIM_INT__l_s_i_s, PRIM_INT__l_s_h_s, NULL, PRIM_INT__k_s_i_s, NULL, PRIM_INT__l_s_k_s);
1052 
1053 
1054                     ostei_general_vrr_K(8, 0, 8, 0, 1,
1055                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1056                             PRIM_INT__l_s_k_s, PRIM_INT__l_s_i_s, NULL, PRIM_INT__k_s_k_s, NULL, PRIM_INT__l_s_l_s);
1057 
1058 
1059 
1060 
1061                     ////////////////////////////////////
1062                     // Accumulate contracted integrals
1063                     ////////////////////////////////////
1064                     if(lastoffset == 0)
1065                     {
1066                         contract_all(420, PRIM_INT__g_s_i_s, PRIM_PTR_INT__g_s_i_s);
1067                         contract_all(540, PRIM_INT__g_s_k_s, PRIM_PTR_INT__g_s_k_s);
1068                         contract_all(675, PRIM_INT__g_s_l_s, PRIM_PTR_INT__g_s_l_s);
1069                         contract_all(588, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
1070                         contract_all(756, PRIM_INT__h_s_k_s, PRIM_PTR_INT__h_s_k_s);
1071                         contract_all(945, PRIM_INT__h_s_l_s, PRIM_PTR_INT__h_s_l_s);
1072                         contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
1073                         contract_all(1008, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
1074                         contract_all(1260, PRIM_INT__i_s_l_s, PRIM_PTR_INT__i_s_l_s);
1075                         contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1076                         contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1077                         contract_all(1620, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1078                         contract_all(1260, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
1079                         contract_all(1620, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1080                         contract_all(2025, PRIM_INT__l_s_l_s, PRIM_PTR_INT__l_s_l_s);
1081                     }
1082                     else
1083                     {
1084                         contract(420, shelloffsets, PRIM_INT__g_s_i_s, PRIM_PTR_INT__g_s_i_s);
1085                         contract(540, shelloffsets, PRIM_INT__g_s_k_s, PRIM_PTR_INT__g_s_k_s);
1086                         contract(675, shelloffsets, PRIM_INT__g_s_l_s, PRIM_PTR_INT__g_s_l_s);
1087                         contract(588, shelloffsets, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
1088                         contract(756, shelloffsets, PRIM_INT__h_s_k_s, PRIM_PTR_INT__h_s_k_s);
1089                         contract(945, shelloffsets, PRIM_INT__h_s_l_s, PRIM_PTR_INT__h_s_l_s);
1090                         contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
1091                         contract(1008, shelloffsets, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
1092                         contract(1260, shelloffsets, PRIM_INT__i_s_l_s, PRIM_PTR_INT__i_s_l_s);
1093                         contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1094                         contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1095                         contract(1620, shelloffsets, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1096                         contract(1260, shelloffsets, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
1097                         contract(1620, shelloffsets, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1098                         contract(2025, shelloffsets, PRIM_INT__l_s_l_s, PRIM_PTR_INT__l_s_l_s);
1099                         PRIM_PTR_INT__g_s_i_s += lastoffset*420;
1100                         PRIM_PTR_INT__g_s_k_s += lastoffset*540;
1101                         PRIM_PTR_INT__g_s_l_s += lastoffset*675;
1102                         PRIM_PTR_INT__h_s_i_s += lastoffset*588;
1103                         PRIM_PTR_INT__h_s_k_s += lastoffset*756;
1104                         PRIM_PTR_INT__h_s_l_s += lastoffset*945;
1105                         PRIM_PTR_INT__i_s_i_s += lastoffset*784;
1106                         PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
1107                         PRIM_PTR_INT__i_s_l_s += lastoffset*1260;
1108                         PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
1109                         PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
1110                         PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
1111                         PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
1112                         PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
1113                         PRIM_PTR_INT__l_s_l_s += lastoffset*2025;
1114                     }
1115 
1116                 }  // close loop over j
1117             }  // close loop over i
1118 
1119             //Advance to the next batch
1120             jstart = SIMINT_SIMD_ROUND(jend);
1121 
1122             //////////////////////////////////////////////
1123             // Contracted integrals: Horizontal recurrance
1124             //////////////////////////////////////////////
1125 
1126 
1127             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
1128 
1129 
1130             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
1131             {
1132                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
1133 
1134                 // set up HRR pointers
1135                 double const * restrict HRR_INT__g_s_i_s = INT__g_s_i_s + abcd * 420;
1136                 double const * restrict HRR_INT__g_s_k_s = INT__g_s_k_s + abcd * 540;
1137                 double const * restrict HRR_INT__g_s_l_s = INT__g_s_l_s + abcd * 675;
1138                 double const * restrict HRR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
1139                 double const * restrict HRR_INT__h_s_k_s = INT__h_s_k_s + abcd * 756;
1140                 double const * restrict HRR_INT__h_s_l_s = INT__h_s_l_s + abcd * 945;
1141                 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
1142                 double const * restrict HRR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
1143                 double const * restrict HRR_INT__i_s_l_s = INT__i_s_l_s + abcd * 1260;
1144                 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
1145                 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
1146                 double const * restrict HRR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
1147                 double const * restrict HRR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
1148                 double const * restrict HRR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
1149                 double const * restrict HRR_INT__l_s_l_s = INT__l_s_l_s + abcd * 2025;
1150                 double * restrict HRR_INT__g_g_i_d = INT__g_g_i_d + real_abcd * 37800;
1151 
1152                 // form INT__g_p_i_s
1153                 HRR_J_g_p(
1154                     HRR_INT__g_p_i_s,
1155                     HRR_INT__g_s_i_s,
1156                     HRR_INT__h_s_i_s,
1157                     hAB, 28);
1158 
1159                 // form INT__g_p_k_s
1160                 HRR_J_g_p(
1161                     HRR_INT__g_p_k_s,
1162                     HRR_INT__g_s_k_s,
1163                     HRR_INT__h_s_k_s,
1164                     hAB, 36);
1165 
1166                 // form INT__g_p_l_s
1167                 HRR_J_g_p(
1168                     HRR_INT__g_p_l_s,
1169                     HRR_INT__g_s_l_s,
1170                     HRR_INT__h_s_l_s,
1171                     hAB, 45);
1172 
1173                 // form INT__h_p_i_s
1174                 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);
1175 
1176                 // form INT__h_p_k_s
1177                 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);
1178 
1179                 // form INT__h_p_l_s
1180                 ostei_general_hrr_J(5, 1, 8, 0, hAB, HRR_INT__i_s_l_s, HRR_INT__h_s_l_s, HRR_INT__h_p_l_s);
1181 
1182                 // form INT__i_p_i_s
1183                 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);
1184 
1185                 // form INT__i_p_k_s
1186                 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);
1187 
1188                 // form INT__i_p_l_s
1189                 ostei_general_hrr_J(6, 1, 8, 0, hAB, HRR_INT__k_s_l_s, HRR_INT__i_s_l_s, HRR_INT__i_p_l_s);
1190 
1191                 // form INT__k_p_i_s
1192                 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);
1193 
1194                 // form INT__k_p_k_s
1195                 ostei_general_hrr_J(7, 1, 7, 0, hAB, HRR_INT__l_s_k_s, HRR_INT__k_s_k_s, HRR_INT__k_p_k_s);
1196 
1197                 // form INT__k_p_l_s
1198                 ostei_general_hrr_J(7, 1, 8, 0, hAB, HRR_INT__l_s_l_s, HRR_INT__k_s_l_s, HRR_INT__k_p_l_s);
1199 
1200                 // form INT__g_d_i_s
1201                 ostei_general_hrr_J(4, 2, 6, 0, hAB, HRR_INT__h_p_i_s, HRR_INT__g_p_i_s, HRR_INT__g_d_i_s);
1202 
1203                 // form INT__g_d_k_s
1204                 ostei_general_hrr_J(4, 2, 7, 0, hAB, HRR_INT__h_p_k_s, HRR_INT__g_p_k_s, HRR_INT__g_d_k_s);
1205 
1206                 // form INT__g_d_l_s
1207                 ostei_general_hrr_J(4, 2, 8, 0, hAB, HRR_INT__h_p_l_s, HRR_INT__g_p_l_s, HRR_INT__g_d_l_s);
1208 
1209                 // form INT__h_d_i_s
1210                 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);
1211 
1212                 // form INT__h_d_k_s
1213                 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);
1214 
1215                 // form INT__h_d_l_s
1216                 ostei_general_hrr_J(5, 2, 8, 0, hAB, HRR_INT__i_p_l_s, HRR_INT__h_p_l_s, HRR_INT__h_d_l_s);
1217 
1218                 // form INT__i_d_i_s
1219                 ostei_general_hrr_J(6, 2, 6, 0, hAB, HRR_INT__k_p_i_s, HRR_INT__i_p_i_s, HRR_INT__i_d_i_s);
1220 
1221                 // form INT__i_d_k_s
1222                 ostei_general_hrr_J(6, 2, 7, 0, hAB, HRR_INT__k_p_k_s, HRR_INT__i_p_k_s, HRR_INT__i_d_k_s);
1223 
1224                 // form INT__i_d_l_s
1225                 ostei_general_hrr_J(6, 2, 8, 0, hAB, HRR_INT__k_p_l_s, HRR_INT__i_p_l_s, HRR_INT__i_d_l_s);
1226 
1227                 // form INT__g_f_i_s
1228                 ostei_general_hrr_J(4, 3, 6, 0, hAB, HRR_INT__h_d_i_s, HRR_INT__g_d_i_s, HRR_INT__g_f_i_s);
1229 
1230                 // form INT__g_f_k_s
1231                 ostei_general_hrr_J(4, 3, 7, 0, hAB, HRR_INT__h_d_k_s, HRR_INT__g_d_k_s, HRR_INT__g_f_k_s);
1232 
1233                 // form INT__g_f_l_s
1234                 ostei_general_hrr_J(4, 3, 8, 0, hAB, HRR_INT__h_d_l_s, HRR_INT__g_d_l_s, HRR_INT__g_f_l_s);
1235 
1236                 // form INT__h_f_i_s
1237                 ostei_general_hrr_J(5, 3, 6, 0, hAB, HRR_INT__i_d_i_s, HRR_INT__h_d_i_s, HRR_INT__h_f_i_s);
1238 
1239                 // form INT__h_f_k_s
1240                 ostei_general_hrr_J(5, 3, 7, 0, hAB, HRR_INT__i_d_k_s, HRR_INT__h_d_k_s, HRR_INT__h_f_k_s);
1241 
1242                 // form INT__h_f_l_s
1243                 ostei_general_hrr_J(5, 3, 8, 0, hAB, HRR_INT__i_d_l_s, HRR_INT__h_d_l_s, HRR_INT__h_f_l_s);
1244 
1245                 // form INT__g_g_i_s
1246                 ostei_general_hrr_J(4, 4, 6, 0, hAB, HRR_INT__h_f_i_s, HRR_INT__g_f_i_s, HRR_INT__g_g_i_s);
1247 
1248                 // form INT__g_g_k_s
1249                 ostei_general_hrr_J(4, 4, 7, 0, hAB, HRR_INT__h_f_k_s, HRR_INT__g_f_k_s, HRR_INT__g_g_k_s);
1250 
1251                 // form INT__g_g_l_s
1252                 ostei_general_hrr_J(4, 4, 8, 0, hAB, HRR_INT__h_f_l_s, HRR_INT__g_f_l_s, HRR_INT__g_g_l_s);
1253 
1254                 // form INT__g_g_i_p
1255                 ostei_general_hrr_L(4, 4, 6, 1, hCD, HRR_INT__g_g_k_s, HRR_INT__g_g_i_s, HRR_INT__g_g_i_p);
1256 
1257                 // form INT__g_g_k_p
1258                 ostei_general_hrr_L(4, 4, 7, 1, hCD, HRR_INT__g_g_l_s, HRR_INT__g_g_k_s, HRR_INT__g_g_k_p);
1259 
1260                 // form INT__g_g_i_d
1261                 ostei_general_hrr_L(4, 4, 6, 2, hCD, HRR_INT__g_g_k_p, HRR_INT__g_g_i_p, HRR_INT__g_g_i_d);
1262 
1263 
1264             }  // close HRR loop
1265 
1266 
1267         }   // close loop cdbatch
1268 
1269         istart = iend;
1270     }  // close loop over ab
1271 
1272     return P.nshell12_clip * Q.nshell12_clip;
1273 }
1274 
ostei_g_g_d_i(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_g_d_i)1275 int ostei_g_g_d_i(struct simint_multi_shellpair const P,
1276                   struct simint_multi_shellpair const Q,
1277                   double screen_tol,
1278                   double * const restrict work,
1279                   double * const restrict INT__g_g_d_i)
1280 {
1281     double Q_AB[3*Q.nshell12];
1282     struct simint_multi_shellpair Q_tmp = Q;
1283     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1284     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1285     Q_tmp.AB_x = Q_AB;
1286     Q_tmp.AB_y = Q_AB + Q.nshell12;
1287     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1288 
1289     for(int i = 0; i < Q.nshell12; i++)
1290     {
1291         Q_tmp.AB_x[i] = -Q.AB_x[i];
1292         Q_tmp.AB_y[i] = -Q.AB_y[i];
1293         Q_tmp.AB_z[i] = -Q.AB_z[i];
1294     }
1295 
1296     int ret = ostei_g_g_i_d(P, Q_tmp, screen_tol, work, INT__g_g_d_i);
1297     double buffer[37800] SIMINT_ALIGN_ARRAY_DBL;
1298 
1299     for(int q = 0; q < ret; q++)
1300     {
1301         int idx = 0;
1302         for(int a = 0; a < 15; ++a)
1303         for(int b = 0; b < 15; ++b)
1304         for(int c = 0; c < 6; ++c)
1305         for(int d = 0; d < 28; ++d)
1306             buffer[idx++] = INT__g_g_d_i[q*37800+a*2520+b*168+d*6+c];
1307 
1308         memcpy(INT__g_g_d_i+q*37800, buffer, 37800*sizeof(double));
1309     }
1310 
1311     return ret;
1312 }
1313 
1314