1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_i_s_d_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_s_d_p)8 int ostei_i_s_d_p(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__i_s_d_p)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_s_d_p);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int ibra;
26 
27     // partition workspace
28     double * const INT__i_s_d_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__i_s_f_s = work + (SIMINT_NSHELL_SIMD * 168);
30     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*448);
31     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
32     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 10;
33     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 37;
34     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 85;
35     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 155;
36     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 245;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 380;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 485;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 674;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 926;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 1038;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 1290;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 1626;
44     double * const hrrwork = (double *)(primwork + 1906);
45 
46 
47     // Create constants
48     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
49     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
50     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
51     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
52     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
53     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
54     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
55 
56 
57     ////////////////////////////////////////
58     // Loop over shells and primitives
59     ////////////////////////////////////////
60 
61     real_abcd = 0;
62     istart = 0;
63     for(ab = 0; ab < P.nshell12_clip; ++ab)
64     {
65         const int iend = istart + P.nprim12[ab];
66 
67         cd = 0;
68         jstart = 0;
69 
70         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
71         {
72             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
73             int jend = jstart;
74             for(i = 0; i < nshellbatch; i++)
75                 jend += Q.nprim12[cd+i];
76 
77             // Clear the beginning of the workspace (where we are accumulating integrals)
78             memset(work, 0, SIMINT_NSHELL_SIMD * 448 * sizeof(double));
79             abcd = 0;
80 
81 
82             for(i = istart; i < iend; ++i)
83             {
84                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
85 
86                 if(check_screen)
87                 {
88                     // Skip this whole thing if always insignificant
89                     if((P.screen[i] * Q.screen_max) < screen_tol)
90                         continue;
91                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
92                 }
93 
94                 icd = 0;
95                 iprimcd = 0;
96                 nprim_icd = Q.nprim12[cd];
97                 double * restrict PRIM_PTR_INT__i_s_d_s = INT__i_s_d_s + abcd * 168;
98                 double * restrict PRIM_PTR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
99 
100 
101 
102                 // Load these one per loop over i
103                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
104                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
105                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
106 
107                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
108 
109                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
110                 {
111                     // calculate the shell offsets
112                     // these are the offset from the shell pointed to by cd
113                     // for each element
114                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
115                     int lastoffset = 0;
116                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
117 
118                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
119                     {
120                         // Handle if the first element of the vector is a new shell
121                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
122                         {
123                             nprim_icd += Q.nprim12[cd + (++icd)];
124                             PRIM_PTR_INT__i_s_d_s += 168;
125                             PRIM_PTR_INT__i_s_f_s += 280;
126                         }
127                         iprimcd++;
128                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
129                         {
130                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
131                             {
132                                 shelloffsets[n] = shelloffsets[n-1] + 1;
133                                 lastoffset++;
134                                 nprim_icd += Q.nprim12[cd + (++icd)];
135                             }
136                             else
137                                 shelloffsets[n] = shelloffsets[n-1];
138                             iprimcd++;
139                         }
140                     }
141                     else
142                         iprimcd += SIMINT_SIMD_LEN;
143 
144                     // Do we have to compute this vector (or has it been screened out)?
145                     // (not_screened != 0 means we have to do this vector)
146                     if(check_screen)
147                     {
148                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
149                         if(vmax < screen_tol)
150                         {
151                             PRIM_PTR_INT__i_s_d_s += lastoffset*168;
152                             PRIM_PTR_INT__i_s_f_s += lastoffset*280;
153                             continue;
154                         }
155                     }
156 
157                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
158                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
159                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
160                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
161 
162 
163                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
164                     SIMINT_DBLTYPE PQ[3];
165                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
166                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
167                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
168                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
169                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
170                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
171 
172                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
173                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
174                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
175                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
176                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
177                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
178                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
179 
180                     // NOTE: Minus sign!
181                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
182                     SIMINT_DBLTYPE aop_PQ[3];
183                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
184                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
185                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
186 
187                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
188                     SIMINT_DBLTYPE aoq_PQ[3];
189                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
190                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
191                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
192                     // Put a minus sign here so we don't have to in RR routines
193                     a_over_q = SIMINT_NEG(a_over_q);
194 
195 
196                     //////////////////////////////////////////////
197                     // Fjt function section
198                     // Maximum v value: 9
199                     //////////////////////////////////////////////
200                     // The parameter to the Fjt function
201                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
202 
203 
204                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
205 
206 
207                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 9);
208                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
209                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
210                     for(n = 0; n <= 9; n++)
211                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
212 
213                     //////////////////////////////////////////////
214                     // Primitive integrals: Vertical recurrance
215                     //////////////////////////////////////////////
216 
217                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
218                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
219                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
220                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
221                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
222                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
223                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
224                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
225                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
226                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
227                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
228                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
229                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
230 
231 
232 
233                     // Forming PRIM_INT__p_s_s_s[9 * 3];
234                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
235                     {
236 
237                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
238                         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]);
239 
240                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
241                         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]);
242 
243                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
244                         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]);
245 
246                     }
247 
248 
249 
250                     // Forming PRIM_INT__d_s_s_s[8 * 6];
251                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
252                     {
253 
254                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
255                         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]);
256                         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]);
257 
258                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
259                         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]);
260 
261                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
262                         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]);
263                         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]);
264 
265                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
266                         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]);
267                         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]);
268 
269                     }
270 
271 
272 
273                     // Forming PRIM_INT__f_s_s_s[7 * 10];
274                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
275                     {
276 
277                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
278                         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]);
279                         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]);
280 
281                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
282                         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]);
283 
284                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
285                         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]);
286 
287                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
288                         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]);
289 
290                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
291                         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]);
292 
293                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
294                         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]);
295 
296                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
297                         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]);
298                         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]);
299 
300                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
301                         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]);
302 
303                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
304                         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]);
305 
306                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
307                         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]);
308                         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]);
309 
310                     }
311 
312 
313                     VRR_I_g_s_s_s(
314                             PRIM_INT__g_s_s_s,
315                             PRIM_INT__f_s_s_s,
316                             PRIM_INT__d_s_s_s,
317                             P_PA,
318                             a_over_p,
319                             aop_PQ,
320                             one_over_2p,
321                             6);
322 
323 
324                     VRR_I_h_s_s_s(
325                             PRIM_INT__h_s_s_s,
326                             PRIM_INT__g_s_s_s,
327                             PRIM_INT__f_s_s_s,
328                             P_PA,
329                             a_over_p,
330                             aop_PQ,
331                             one_over_2p,
332                             5);
333 
334 
335                     ostei_general_vrr1_I(6, 4,
336                             one_over_2p, a_over_p, aop_PQ, P_PA,
337                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
338 
339 
340                     ostei_general_vrr_K(6, 0, 1, 0, 3,
341                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
342                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
343 
344 
345                     ostei_general_vrr_K(5, 0, 1, 0, 3,
346                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
347                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
348 
349 
350                     ostei_general_vrr_K(6, 0, 2, 0, 2,
351                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
352                             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);
353 
354 
355                     VRR_K_g_s_p_s(
356                             PRIM_INT__g_s_p_s,
357                             PRIM_INT__g_s_s_s,
358                             PRIM_INT__f_s_s_s,
359                             Q_PA,
360                             aoq_PQ,
361                             one_over_2pq,
362                             3);
363 
364 
365                     ostei_general_vrr_K(5, 0, 2, 0, 2,
366                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
367                             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);
368 
369 
370                     ostei_general_vrr_K(6, 0, 3, 0, 1,
371                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
372                             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);
373 
374 
375 
376 
377                     ////////////////////////////////////
378                     // Accumulate contracted integrals
379                     ////////////////////////////////////
380                     if(lastoffset == 0)
381                     {
382                         contract_all(168, PRIM_INT__i_s_d_s, PRIM_PTR_INT__i_s_d_s);
383                         contract_all(280, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
384                     }
385                     else
386                     {
387                         contract(168, shelloffsets, PRIM_INT__i_s_d_s, PRIM_PTR_INT__i_s_d_s);
388                         contract(280, shelloffsets, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
389                         PRIM_PTR_INT__i_s_d_s += lastoffset*168;
390                         PRIM_PTR_INT__i_s_f_s += lastoffset*280;
391                     }
392 
393                 }  // close loop over j
394             }  // close loop over i
395 
396             //Advance to the next batch
397             jstart = SIMINT_SIMD_ROUND(jend);
398 
399             //////////////////////////////////////////////
400             // Contracted integrals: Horizontal recurrance
401             //////////////////////////////////////////////
402 
403 
404 
405 
406             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
407             {
408                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
409 
410                 // set up HRR pointers
411                 double const * restrict HRR_INT__i_s_d_s = INT__i_s_d_s + abcd * 168;
412                 double const * restrict HRR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
413                 double * restrict HRR_INT__i_s_d_p = INT__i_s_d_p + real_abcd * 504;
414 
415                 // form INT__i_s_d_p
416                 for(ibra = 0; ibra < 28; ++ibra)
417                 {
418                     HRR_INT__i_s_d_p[ibra * 18 + 0] = HRR_INT__i_s_f_s[ibra * 10 + 0] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 0] );
419 
420                     HRR_INT__i_s_d_p[ibra * 18 + 1] = HRR_INT__i_s_f_s[ibra * 10 + 1] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 0] );
421 
422                     HRR_INT__i_s_d_p[ibra * 18 + 2] = HRR_INT__i_s_f_s[ibra * 10 + 2] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 0] );
423 
424                     HRR_INT__i_s_d_p[ibra * 18 + 3] = HRR_INT__i_s_f_s[ibra * 10 + 1] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 1] );
425 
426                     HRR_INT__i_s_d_p[ibra * 18 + 4] = HRR_INT__i_s_f_s[ibra * 10 + 3] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 1] );
427 
428                     HRR_INT__i_s_d_p[ibra * 18 + 5] = HRR_INT__i_s_f_s[ibra * 10 + 4] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 1] );
429 
430                     HRR_INT__i_s_d_p[ibra * 18 + 6] = HRR_INT__i_s_f_s[ibra * 10 + 2] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 2] );
431 
432                     HRR_INT__i_s_d_p[ibra * 18 + 7] = HRR_INT__i_s_f_s[ibra * 10 + 4] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 2] );
433 
434                     HRR_INT__i_s_d_p[ibra * 18 + 8] = HRR_INT__i_s_f_s[ibra * 10 + 5] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 2] );
435 
436                     HRR_INT__i_s_d_p[ibra * 18 + 9] = HRR_INT__i_s_f_s[ibra * 10 + 3] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 3] );
437 
438                     HRR_INT__i_s_d_p[ibra * 18 + 10] = HRR_INT__i_s_f_s[ibra * 10 + 6] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 3] );
439 
440                     HRR_INT__i_s_d_p[ibra * 18 + 11] = HRR_INT__i_s_f_s[ibra * 10 + 7] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 3] );
441 
442                     HRR_INT__i_s_d_p[ibra * 18 + 12] = HRR_INT__i_s_f_s[ibra * 10 + 4] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 4] );
443 
444                     HRR_INT__i_s_d_p[ibra * 18 + 13] = HRR_INT__i_s_f_s[ibra * 10 + 7] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 4] );
445 
446                     HRR_INT__i_s_d_p[ibra * 18 + 14] = HRR_INT__i_s_f_s[ibra * 10 + 8] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 4] );
447 
448                     HRR_INT__i_s_d_p[ibra * 18 + 15] = HRR_INT__i_s_f_s[ibra * 10 + 5] + ( hCD[0] * HRR_INT__i_s_d_s[ibra * 6 + 5] );
449 
450                     HRR_INT__i_s_d_p[ibra * 18 + 16] = HRR_INT__i_s_f_s[ibra * 10 + 8] + ( hCD[1] * HRR_INT__i_s_d_s[ibra * 6 + 5] );
451 
452                     HRR_INT__i_s_d_p[ibra * 18 + 17] = HRR_INT__i_s_f_s[ibra * 10 + 9] + ( hCD[2] * HRR_INT__i_s_d_s[ibra * 6 + 5] );
453 
454                 }
455 
456 
457             }  // close HRR loop
458 
459 
460         }   // close loop cdbatch
461 
462         istart = iend;
463     }  // close loop over ab
464 
465     return P.nshell12_clip * Q.nshell12_clip;
466 }
467 
ostei_s_i_d_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_i_d_p)468 int ostei_s_i_d_p(struct simint_multi_shellpair const P,
469                   struct simint_multi_shellpair const Q,
470                   double screen_tol,
471                   double * const restrict work,
472                   double * const restrict INT__s_i_d_p)
473 {
474     double P_AB[3*P.nshell12];
475     struct simint_multi_shellpair P_tmp = P;
476     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
477     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
478     P_tmp.AB_x = P_AB;
479     P_tmp.AB_y = P_AB + P.nshell12;
480     P_tmp.AB_z = P_AB + 2*P.nshell12;
481 
482     for(int i = 0; i < P.nshell12; i++)
483     {
484         P_tmp.AB_x[i] = -P.AB_x[i];
485         P_tmp.AB_y[i] = -P.AB_y[i];
486         P_tmp.AB_z[i] = -P.AB_z[i];
487     }
488 
489     int ret = ostei_i_s_d_p(P_tmp, Q, screen_tol, work, INT__s_i_d_p);
490     double buffer[504] SIMINT_ALIGN_ARRAY_DBL;
491 
492     for(int q = 0; q < ret; q++)
493     {
494         int idx = 0;
495         for(int a = 0; a < 1; ++a)
496         for(int b = 0; b < 28; ++b)
497         for(int c = 0; c < 6; ++c)
498         for(int d = 0; d < 3; ++d)
499             buffer[idx++] = INT__s_i_d_p[q*504+b*18+a*18+c*3+d];
500 
501         memcpy(INT__s_i_d_p+q*504, buffer, 504*sizeof(double));
502     }
503 
504     return ret;
505 }
506 
ostei_i_s_p_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_s_p_d)507 int ostei_i_s_p_d(struct simint_multi_shellpair const P,
508                   struct simint_multi_shellpair const Q,
509                   double screen_tol,
510                   double * const restrict work,
511                   double * const restrict INT__i_s_p_d)
512 {
513     double Q_AB[3*Q.nshell12];
514     struct simint_multi_shellpair Q_tmp = Q;
515     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
516     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
517     Q_tmp.AB_x = Q_AB;
518     Q_tmp.AB_y = Q_AB + Q.nshell12;
519     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
520 
521     for(int i = 0; i < Q.nshell12; i++)
522     {
523         Q_tmp.AB_x[i] = -Q.AB_x[i];
524         Q_tmp.AB_y[i] = -Q.AB_y[i];
525         Q_tmp.AB_z[i] = -Q.AB_z[i];
526     }
527 
528     int ret = ostei_i_s_d_p(P, Q_tmp, screen_tol, work, INT__i_s_p_d);
529     double buffer[504] SIMINT_ALIGN_ARRAY_DBL;
530 
531     for(int q = 0; q < ret; q++)
532     {
533         int idx = 0;
534         for(int a = 0; a < 28; ++a)
535         for(int b = 0; b < 1; ++b)
536         for(int c = 0; c < 3; ++c)
537         for(int d = 0; d < 6; ++d)
538             buffer[idx++] = INT__i_s_p_d[q*504+a*18+b*18+d*3+c];
539 
540         memcpy(INT__i_s_p_d+q*504, buffer, 504*sizeof(double));
541     }
542 
543     return ret;
544 }
545 
ostei_s_i_p_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_i_p_d)546 int ostei_s_i_p_d(struct simint_multi_shellpair const P,
547                   struct simint_multi_shellpair const Q,
548                   double screen_tol,
549                   double * const restrict work,
550                   double * const restrict INT__s_i_p_d)
551 {
552     double P_AB[3*P.nshell12];
553     struct simint_multi_shellpair P_tmp = P;
554     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
555     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
556     P_tmp.AB_x = P_AB;
557     P_tmp.AB_y = P_AB + P.nshell12;
558     P_tmp.AB_z = P_AB + 2*P.nshell12;
559 
560     for(int i = 0; i < P.nshell12; i++)
561     {
562         P_tmp.AB_x[i] = -P.AB_x[i];
563         P_tmp.AB_y[i] = -P.AB_y[i];
564         P_tmp.AB_z[i] = -P.AB_z[i];
565     }
566 
567     double Q_AB[3*Q.nshell12];
568     struct simint_multi_shellpair Q_tmp = Q;
569     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
570     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
571     Q_tmp.AB_x = Q_AB;
572     Q_tmp.AB_y = Q_AB + Q.nshell12;
573     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
574 
575     for(int i = 0; i < Q.nshell12; i++)
576     {
577         Q_tmp.AB_x[i] = -Q.AB_x[i];
578         Q_tmp.AB_y[i] = -Q.AB_y[i];
579         Q_tmp.AB_z[i] = -Q.AB_z[i];
580     }
581 
582     int ret = ostei_i_s_d_p(P_tmp, Q_tmp, screen_tol, work, INT__s_i_p_d);
583     double buffer[504] SIMINT_ALIGN_ARRAY_DBL;
584 
585     for(int q = 0; q < ret; q++)
586     {
587         int idx = 0;
588         for(int a = 0; a < 1; ++a)
589         for(int b = 0; b < 28; ++b)
590         for(int c = 0; c < 3; ++c)
591         for(int d = 0; d < 6; ++d)
592             buffer[idx++] = INT__s_i_p_d[q*504+b*18+a*18+d*3+c];
593 
594         memcpy(INT__s_i_p_d+q*504, buffer, 504*sizeof(double));
595     }
596 
597     return ret;
598 }
599 
600