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_s_f_s_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_f_s_f)8 int ostei_s_f_s_f(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__s_f_s_f)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__s_f_s_f);
17     memset(INT__s_f_s_f, 0, P.nshell12_clip * Q.nshell12_clip * 100 * sizeof(double));
18 
19     int ab, cd, abcd;
20     int istart, jstart;
21     int iprimcd, nprim_icd, icd;
22     const int check_screen = (screen_tol > 0.0);
23     int i, j;
24     int n;
25     int not_screened;
26 
27     // partition workspace
28     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*0);
29     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
30     SIMINT_DBLTYPE * const restrict PRIM_INT__s_p_s_s = primwork + 7;
31     SIMINT_DBLTYPE * const restrict PRIM_INT__s_p_s_p = primwork + 25;
32     SIMINT_DBLTYPE * const restrict PRIM_INT__s_d_s_s = primwork + 52;
33     SIMINT_DBLTYPE * const restrict PRIM_INT__s_d_s_p = primwork + 82;
34     SIMINT_DBLTYPE * const restrict PRIM_INT__s_d_s_d = primwork + 136;
35     SIMINT_DBLTYPE * const restrict PRIM_INT__s_f_s_s = primwork + 208;
36     SIMINT_DBLTYPE * const restrict PRIM_INT__s_f_s_p = primwork + 248;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__s_f_s_d = primwork + 338;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__s_f_s_f = primwork + 458;
39     double * const hrrwork = (double *)(primwork + 558);
40 
41 
42     // Create constants
43     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
44     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
45     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
46     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
47 
48 
49     ////////////////////////////////////////
50     // Loop over shells and primitives
51     ////////////////////////////////////////
52 
53     abcd = 0;
54     istart = 0;
55     for(ab = 0; ab < P.nshell12_clip; ++ab)
56     {
57         const int iend = istart + P.nprim12[ab];
58 
59         cd = 0;
60         jstart = 0;
61 
62         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
63         {
64             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
65             int jend = jstart;
66             for(i = 0; i < nshellbatch; i++)
67                 jend += Q.nprim12[cd+i];
68 
69 
70             for(i = istart; i < iend; ++i)
71             {
72                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
73 
74                 if(check_screen)
75                 {
76                     // Skip this whole thing if always insignificant
77                     if((P.screen[i] * Q.screen_max) < screen_tol)
78                         continue;
79                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
80                 }
81 
82                 icd = 0;
83                 iprimcd = 0;
84                 nprim_icd = Q.nprim12[cd];
85                 double * restrict PRIM_PTR_INT__s_f_s_f = INT__s_f_s_f + abcd * 100;
86 
87 
88 
89                 // Load these one per loop over i
90                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
91                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
92                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
93 
94                 const SIMINT_DBLTYPE P_PB[3] = { SIMINT_DBLSET1(P.PB_x[i]), SIMINT_DBLSET1(P.PB_y[i]), SIMINT_DBLSET1(P.PB_z[i]) };
95 
96                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
97                 {
98                     // calculate the shell offsets
99                     // these are the offset from the shell pointed to by cd
100                     // for each element
101                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
102                     int lastoffset = 0;
103                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
104 
105                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
106                     {
107                         // Handle if the first element of the vector is a new shell
108                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
109                         {
110                             nprim_icd += Q.nprim12[cd + (++icd)];
111                             PRIM_PTR_INT__s_f_s_f += 100;
112                         }
113                         iprimcd++;
114                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
115                         {
116                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
117                             {
118                                 shelloffsets[n] = shelloffsets[n-1] + 1;
119                                 lastoffset++;
120                                 nprim_icd += Q.nprim12[cd + (++icd)];
121                             }
122                             else
123                                 shelloffsets[n] = shelloffsets[n-1];
124                             iprimcd++;
125                         }
126                     }
127                     else
128                         iprimcd += SIMINT_SIMD_LEN;
129 
130                     // Do we have to compute this vector (or has it been screened out)?
131                     // (not_screened != 0 means we have to do this vector)
132                     if(check_screen)
133                     {
134                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
135                         if(vmax < screen_tol)
136                         {
137                             PRIM_PTR_INT__s_f_s_f += lastoffset*100;
138                             continue;
139                         }
140                     }
141 
142                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
143                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
144                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
145                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
146 
147 
148                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
149                     SIMINT_DBLTYPE PQ[3];
150                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
151                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
152                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
153                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
154                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
155                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
156 
157                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
158                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
159                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
160                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
161                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
162                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
163                     const SIMINT_DBLTYPE Q_PB[3] = { SIMINT_DBLLOAD(Q.PB_x, j), SIMINT_DBLLOAD(Q.PB_y, j), SIMINT_DBLLOAD(Q.PB_z, j) };
164 
165                     // NOTE: Minus sign!
166                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
167                     SIMINT_DBLTYPE aop_PQ[3];
168                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
169                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
170                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
171 
172                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
173                     SIMINT_DBLTYPE aoq_PQ[3];
174                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
175                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
176                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
177                     // Put a minus sign here so we don't have to in RR routines
178                     a_over_q = SIMINT_NEG(a_over_q);
179 
180 
181                     //////////////////////////////////////////////
182                     // Fjt function section
183                     // Maximum v value: 6
184                     //////////////////////////////////////////////
185                     // The parameter to the Fjt function
186                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
187 
188 
189                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
190 
191 
192                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 6);
193                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
194                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
195                     for(n = 0; n <= 6; n++)
196                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
197 
198                     //////////////////////////////////////////////
199                     // Primitive integrals: Vertical recurrance
200                     //////////////////////////////////////////////
201 
202                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
203                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
204                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
205                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
206                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
207                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
208                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
209 
210 
211 
212                     // Forming PRIM_INT__s_p_s_s[6 * 3];
213                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
214                     {
215 
216                         PRIM_INT__s_p_s_s[n * 3 + 0] = SIMINT_MUL(P_PB[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
217                         PRIM_INT__s_p_s_s[n * 3 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_s[n * 3 + 0]);
218 
219                         PRIM_INT__s_p_s_s[n * 3 + 1] = SIMINT_MUL(P_PB[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
220                         PRIM_INT__s_p_s_s[n * 3 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_s[n * 3 + 1]);
221 
222                         PRIM_INT__s_p_s_s[n * 3 + 2] = SIMINT_MUL(P_PB[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
223                         PRIM_INT__s_p_s_s[n * 3 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_s[n * 3 + 2]);
224 
225                     }
226 
227 
228 
229                     // Forming PRIM_INT__s_d_s_s[5 * 6];
230                     for(n = 0; n < 5; ++n)  // loop over orders of auxiliary function
231                     {
232 
233                         PRIM_INT__s_d_s_s[n * 6 + 0] = SIMINT_MUL(P_PB[0], PRIM_INT__s_p_s_s[n * 3 + 0]);
234                         PRIM_INT__s_d_s_s[n * 6 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_s[n * 6 + 0]);
235                         PRIM_INT__s_d_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__s_d_s_s[n * 6 + 0]);
236 
237                         PRIM_INT__s_d_s_s[n * 6 + 1] = SIMINT_MUL(P_PB[1], PRIM_INT__s_p_s_s[n * 3 + 0]);
238                         PRIM_INT__s_d_s_s[n * 6 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_s[n * 6 + 1]);
239 
240                         PRIM_INT__s_d_s_s[n * 6 + 2] = SIMINT_MUL(P_PB[2], PRIM_INT__s_p_s_s[n * 3 + 0]);
241                         PRIM_INT__s_d_s_s[n * 6 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_s[n * 6 + 2]);
242 
243                         PRIM_INT__s_d_s_s[n * 6 + 3] = SIMINT_MUL(P_PB[1], PRIM_INT__s_p_s_s[n * 3 + 1]);
244                         PRIM_INT__s_d_s_s[n * 6 + 3] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_d_s_s[n * 6 + 3]);
245                         PRIM_INT__s_d_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__s_d_s_s[n * 6 + 3]);
246 
247                         PRIM_INT__s_d_s_s[n * 6 + 4] = SIMINT_MUL(P_PB[2], PRIM_INT__s_p_s_s[n * 3 + 1]);
248                         PRIM_INT__s_d_s_s[n * 6 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_d_s_s[n * 6 + 4]);
249 
250                         PRIM_INT__s_d_s_s[n * 6 + 5] = SIMINT_MUL(P_PB[2], PRIM_INT__s_p_s_s[n * 3 + 2]);
251                         PRIM_INT__s_d_s_s[n * 6 + 5] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_d_s_s[n * 6 + 5]);
252                         PRIM_INT__s_d_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__s_d_s_s[n * 6 + 5]);
253 
254                     }
255 
256 
257 
258                     // Forming PRIM_INT__s_f_s_s[4 * 10];
259                     for(n = 0; n < 4; ++n)  // loop over orders of auxiliary function
260                     {
261 
262                         PRIM_INT__s_f_s_s[n * 10 + 0] = SIMINT_MUL(P_PB[0], PRIM_INT__s_d_s_s[n * 6 + 0]);
263                         PRIM_INT__s_f_s_s[n * 10 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_f_s_s[n * 10 + 0]);
264                         PRIM_INT__s_f_s_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_p_s_s[n * 3 + 0]), PRIM_INT__s_f_s_s[n * 10 + 0]);
265 
266                         PRIM_INT__s_f_s_s[n * 10 + 1] = SIMINT_MUL(P_PB[1], PRIM_INT__s_d_s_s[n * 6 + 0]);
267                         PRIM_INT__s_f_s_s[n * 10 + 1] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_f_s_s[n * 10 + 1]);
268 
269                         PRIM_INT__s_f_s_s[n * 10 + 2] = SIMINT_MUL(P_PB[2], PRIM_INT__s_d_s_s[n * 6 + 0]);
270                         PRIM_INT__s_f_s_s[n * 10 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_f_s_s[n * 10 + 2]);
271 
272                         PRIM_INT__s_f_s_s[n * 10 + 3] = SIMINT_MUL(P_PB[0], PRIM_INT__s_d_s_s[n * 6 + 3]);
273                         PRIM_INT__s_f_s_s[n * 10 + 3] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_f_s_s[n * 10 + 3]);
274 
275                         PRIM_INT__s_f_s_s[n * 10 + 4] = SIMINT_MUL(P_PB[2], PRIM_INT__s_d_s_s[n * 6 + 1]);
276                         PRIM_INT__s_f_s_s[n * 10 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 1], PRIM_INT__s_f_s_s[n * 10 + 4]);
277 
278                         PRIM_INT__s_f_s_s[n * 10 + 5] = SIMINT_MUL(P_PB[0], PRIM_INT__s_d_s_s[n * 6 + 5]);
279                         PRIM_INT__s_f_s_s[n * 10 + 5] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_f_s_s[n * 10 + 5]);
280 
281                         PRIM_INT__s_f_s_s[n * 10 + 6] = SIMINT_MUL(P_PB[1], PRIM_INT__s_d_s_s[n * 6 + 3]);
282                         PRIM_INT__s_f_s_s[n * 10 + 6] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_f_s_s[n * 10 + 6]);
283                         PRIM_INT__s_f_s_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_p_s_s[n * 3 + 1]), PRIM_INT__s_f_s_s[n * 10 + 6]);
284 
285                         PRIM_INT__s_f_s_s[n * 10 + 7] = SIMINT_MUL(P_PB[2], PRIM_INT__s_d_s_s[n * 6 + 3]);
286                         PRIM_INT__s_f_s_s[n * 10 + 7] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_f_s_s[n * 10 + 7]);
287 
288                         PRIM_INT__s_f_s_s[n * 10 + 8] = SIMINT_MUL(P_PB[1], PRIM_INT__s_d_s_s[n * 6 + 5]);
289                         PRIM_INT__s_f_s_s[n * 10 + 8] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_f_s_s[n * 10 + 8]);
290 
291                         PRIM_INT__s_f_s_s[n * 10 + 9] = SIMINT_MUL(P_PB[2], PRIM_INT__s_d_s_s[n * 6 + 5]);
292                         PRIM_INT__s_f_s_s[n * 10 + 9] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_f_s_s[n * 10 + 9]);
293                         PRIM_INT__s_f_s_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_p_s_s[n * 3 + 2]), PRIM_INT__s_f_s_s[n * 10 + 9]);
294 
295                     }
296 
297 
298                     VRR_L_s_f_s_p(
299                             PRIM_INT__s_f_s_p,
300                             PRIM_INT__s_f_s_s,
301                             PRIM_INT__s_d_s_s,
302                             Q_PB,
303                             aoq_PQ,
304                             one_over_2pq,
305                             3);
306 
307 
308 
309                     // Forming PRIM_INT__s_d_s_p[3 * 18];
310                     for(n = 0; n < 3; ++n)  // loop over orders of auxiliary function
311                     {
312 
313                         PRIM_INT__s_d_s_p[n * 18 + 0] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 0]);
314                         PRIM_INT__s_d_s_p[n * 18 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_d_s_p[n * 18 + 0]);
315                         PRIM_INT__s_d_s_p[n * 18 + 0] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_p[n * 18 + 0]);
316 
317                         PRIM_INT__s_d_s_p[n * 18 + 1] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 0]);
318                         PRIM_INT__s_d_s_p[n * 18 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_d_s_p[n * 18 + 1]);
319 
320                         PRIM_INT__s_d_s_p[n * 18 + 2] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 0]);
321                         PRIM_INT__s_d_s_p[n * 18 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 0], PRIM_INT__s_d_s_p[n * 18 + 2]);
322 
323                         PRIM_INT__s_d_s_p[n * 18 + 3] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 1]);
324                         PRIM_INT__s_d_s_p[n * 18 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 1], PRIM_INT__s_d_s_p[n * 18 + 3]);
325                         PRIM_INT__s_d_s_p[n * 18 + 3] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_d_s_p[n * 18 + 3]);
326 
327                         PRIM_INT__s_d_s_p[n * 18 + 4] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 1]);
328                         PRIM_INT__s_d_s_p[n * 18 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 1], PRIM_INT__s_d_s_p[n * 18 + 4]);
329                         PRIM_INT__s_d_s_p[n * 18 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_p[n * 18 + 4]);
330 
331                         PRIM_INT__s_d_s_p[n * 18 + 5] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 1]);
332                         PRIM_INT__s_d_s_p[n * 18 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 1], PRIM_INT__s_d_s_p[n * 18 + 5]);
333 
334                         PRIM_INT__s_d_s_p[n * 18 + 6] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 2]);
335                         PRIM_INT__s_d_s_p[n * 18 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 2], PRIM_INT__s_d_s_p[n * 18 + 6]);
336                         PRIM_INT__s_d_s_p[n * 18 + 6] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_d_s_p[n * 18 + 6]);
337 
338                         PRIM_INT__s_d_s_p[n * 18 + 7] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 2]);
339                         PRIM_INT__s_d_s_p[n * 18 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 2], PRIM_INT__s_d_s_p[n * 18 + 7]);
340 
341                         PRIM_INT__s_d_s_p[n * 18 + 8] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 2]);
342                         PRIM_INT__s_d_s_p[n * 18 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 2], PRIM_INT__s_d_s_p[n * 18 + 8]);
343                         PRIM_INT__s_d_s_p[n * 18 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_d_s_p[n * 18 + 8]);
344 
345                         PRIM_INT__s_d_s_p[n * 18 + 9] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 3]);
346                         PRIM_INT__s_d_s_p[n * 18 + 9] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_d_s_p[n * 18 + 9]);
347 
348                         PRIM_INT__s_d_s_p[n * 18 + 10] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 3]);
349                         PRIM_INT__s_d_s_p[n * 18 + 10] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_d_s_p[n * 18 + 10]);
350                         PRIM_INT__s_d_s_p[n * 18 + 10] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_d_s_p[n * 18 + 10]);
351 
352                         PRIM_INT__s_d_s_p[n * 18 + 11] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 3]);
353                         PRIM_INT__s_d_s_p[n * 18 + 11] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 3], PRIM_INT__s_d_s_p[n * 18 + 11]);
354 
355                         PRIM_INT__s_d_s_p[n * 18 + 12] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 4]);
356                         PRIM_INT__s_d_s_p[n * 18 + 12] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 4], PRIM_INT__s_d_s_p[n * 18 + 12]);
357 
358                         PRIM_INT__s_d_s_p[n * 18 + 13] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 4]);
359                         PRIM_INT__s_d_s_p[n * 18 + 13] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 4], PRIM_INT__s_d_s_p[n * 18 + 13]);
360                         PRIM_INT__s_d_s_p[n * 18 + 13] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_d_s_p[n * 18 + 13]);
361 
362                         PRIM_INT__s_d_s_p[n * 18 + 14] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 4]);
363                         PRIM_INT__s_d_s_p[n * 18 + 14] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 4], PRIM_INT__s_d_s_p[n * 18 + 14]);
364                         PRIM_INT__s_d_s_p[n * 18 + 14] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_d_s_p[n * 18 + 14]);
365 
366                         PRIM_INT__s_d_s_p[n * 18 + 15] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_d_s_s[n * 6 + 5]);
367                         PRIM_INT__s_d_s_p[n * 18 + 15] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_d_s_p[n * 18 + 15]);
368 
369                         PRIM_INT__s_d_s_p[n * 18 + 16] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_d_s_s[n * 6 + 5]);
370                         PRIM_INT__s_d_s_p[n * 18 + 16] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_d_s_p[n * 18 + 16]);
371 
372                         PRIM_INT__s_d_s_p[n * 18 + 17] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_d_s_s[n * 6 + 5]);
373                         PRIM_INT__s_d_s_p[n * 18 + 17] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_d_s_s[(n+1) * 6 + 5], PRIM_INT__s_d_s_p[n * 18 + 17]);
374                         PRIM_INT__s_d_s_p[n * 18 + 17] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_d_s_p[n * 18 + 17]);
375 
376                     }
377 
378 
379                     VRR_L_s_f_s_d(
380                             PRIM_INT__s_f_s_d,
381                             PRIM_INT__s_f_s_p,
382                             PRIM_INT__s_f_s_s,
383                             PRIM_INT__s_d_s_p,
384                             Q_PB,
385                             a_over_q,
386                             aoq_PQ,
387                             one_over_2pq,
388                             one_over_2q,
389                             2);
390 
391 
392 
393                     // Forming PRIM_INT__s_p_s_p[3 * 9];
394                     for(n = 0; n < 3; ++n)  // loop over orders of auxiliary function
395                     {
396 
397                         PRIM_INT__s_p_s_p[n * 9 + 0] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_p_s_s[n * 3 + 0]);
398                         PRIM_INT__s_p_s_p[n * 9 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_p_s_p[n * 9 + 0]);
399                         PRIM_INT__s_p_s_p[n * 9 + 0] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_p[n * 9 + 0]);
400 
401                         PRIM_INT__s_p_s_p[n * 9 + 1] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_p_s_s[n * 3 + 0]);
402                         PRIM_INT__s_p_s_p[n * 9 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_p_s_p[n * 9 + 1]);
403 
404                         PRIM_INT__s_p_s_p[n * 9 + 2] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_p_s_s[n * 3 + 0]);
405                         PRIM_INT__s_p_s_p[n * 9 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 0], PRIM_INT__s_p_s_p[n * 9 + 2]);
406 
407                         PRIM_INT__s_p_s_p[n * 9 + 3] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_p_s_s[n * 3 + 1]);
408                         PRIM_INT__s_p_s_p[n * 9 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_p_s_p[n * 9 + 3]);
409 
410                         PRIM_INT__s_p_s_p[n * 9 + 4] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_p_s_s[n * 3 + 1]);
411                         PRIM_INT__s_p_s_p[n * 9 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_p_s_p[n * 9 + 4]);
412                         PRIM_INT__s_p_s_p[n * 9 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_p[n * 9 + 4]);
413 
414                         PRIM_INT__s_p_s_p[n * 9 + 5] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_p_s_s[n * 3 + 1]);
415                         PRIM_INT__s_p_s_p[n * 9 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 1], PRIM_INT__s_p_s_p[n * 9 + 5]);
416 
417                         PRIM_INT__s_p_s_p[n * 9 + 6] = SIMINT_MUL(Q_PB[0], PRIM_INT__s_p_s_s[n * 3 + 2]);
418                         PRIM_INT__s_p_s_p[n * 9 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_p_s_p[n * 9 + 6]);
419 
420                         PRIM_INT__s_p_s_p[n * 9 + 7] = SIMINT_MUL(Q_PB[1], PRIM_INT__s_p_s_s[n * 3 + 2]);
421                         PRIM_INT__s_p_s_p[n * 9 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_p_s_p[n * 9 + 7]);
422 
423                         PRIM_INT__s_p_s_p[n * 9 + 8] = SIMINT_MUL(Q_PB[2], PRIM_INT__s_p_s_s[n * 3 + 2]);
424                         PRIM_INT__s_p_s_p[n * 9 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_p_s_s[(n+1) * 3 + 2], PRIM_INT__s_p_s_p[n * 9 + 8]);
425                         PRIM_INT__s_p_s_p[n * 9 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_p_s_p[n * 9 + 8]);
426 
427                     }
428 
429 
430                     VRR_L_s_d_s_d(
431                             PRIM_INT__s_d_s_d,
432                             PRIM_INT__s_d_s_p,
433                             PRIM_INT__s_d_s_s,
434                             PRIM_INT__s_p_s_p,
435                             Q_PB,
436                             a_over_q,
437                             aoq_PQ,
438                             one_over_2pq,
439                             one_over_2q,
440                             2);
441 
442 
443                     ostei_general_vrr_L(0, 3, 0, 3, 1,
444                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PB,
445                             PRIM_INT__s_f_s_d, NULL, PRIM_INT__s_f_s_p, NULL, PRIM_INT__s_d_s_d, PRIM_INT__s_f_s_f);
446 
447 
448 
449 
450                     ////////////////////////////////////
451                     // Accumulate contracted integrals
452                     ////////////////////////////////////
453                     if(lastoffset == 0)
454                     {
455                         contract_all(100, PRIM_INT__s_f_s_f, PRIM_PTR_INT__s_f_s_f);
456                     }
457                     else
458                     {
459                         contract(100, shelloffsets, PRIM_INT__s_f_s_f, PRIM_PTR_INT__s_f_s_f);
460                         PRIM_PTR_INT__s_f_s_f += lastoffset*100;
461                     }
462 
463                 }  // close loop over j
464             }  // close loop over i
465 
466             //Advance to the next batch
467             jstart = SIMINT_SIMD_ROUND(jend);
468             abcd += nshellbatch;
469 
470         }   // close loop cdbatch
471 
472         istart = iend;
473     }  // close loop over ab
474 
475     return P.nshell12_clip * Q.nshell12_clip;
476 }
477 
478