1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_k_i_s_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_i_s_s)8 int ostei_k_i_s_s(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__k_i_s_s)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__k_i_s_s);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int iket;
26 
27     // partition workspace
28     double * const INT__k_s_s_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__l_s_s_s = work + (SIMINT_NSHELL_SIMD * 36);
30     double * const INT__m_s_s_s = work + (SIMINT_NSHELL_SIMD * 81);
31     double * const INT__n_s_s_s = work + (SIMINT_NSHELL_SIMD * 136);
32     double * const INT__o_s_s_s = work + (SIMINT_NSHELL_SIMD * 202);
33     double * const INT__q_s_s_s = work + (SIMINT_NSHELL_SIMD * 280);
34     double * const INT__r_s_s_s = work + (SIMINT_NSHELL_SIMD * 371);
35     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*476);
36     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 14;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 53;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 125;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 235;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 385;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 574;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 798;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 1050;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 1320;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 1595;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_s_s = primwork + 1859;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_s_s = primwork + 2093;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__r_s_s_s = primwork + 2275;
50     double * const hrrwork = (double *)(primwork + 2380);
51     double * const HRR_INT__k_p_s_s = hrrwork + 0;
52     double * const HRR_INT__k_d_s_s = hrrwork + 108;
53     double * const HRR_INT__k_f_s_s = hrrwork + 324;
54     double * const HRR_INT__k_g_s_s = hrrwork + 684;
55     double * const HRR_INT__k_h_s_s = hrrwork + 1224;
56     double * const HRR_INT__l_p_s_s = hrrwork + 1980;
57     double * const HRR_INT__l_d_s_s = hrrwork + 2115;
58     double * const HRR_INT__l_f_s_s = hrrwork + 2385;
59     double * const HRR_INT__l_g_s_s = hrrwork + 2835;
60     double * const HRR_INT__l_h_s_s = hrrwork + 3510;
61     double * const HRR_INT__m_p_s_s = hrrwork + 4455;
62     double * const HRR_INT__m_d_s_s = hrrwork + 4620;
63     double * const HRR_INT__m_f_s_s = hrrwork + 4950;
64     double * const HRR_INT__m_g_s_s = hrrwork + 5500;
65     double * const HRR_INT__n_p_s_s = hrrwork + 6325;
66     double * const HRR_INT__n_d_s_s = hrrwork + 6523;
67     double * const HRR_INT__n_f_s_s = hrrwork + 6919;
68     double * const HRR_INT__o_p_s_s = hrrwork + 7579;
69     double * const HRR_INT__o_d_s_s = hrrwork + 7813;
70     double * const HRR_INT__q_p_s_s = hrrwork + 8281;
71 
72 
73     // Create constants
74     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
75     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
76     const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
77     const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
78     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
79     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
80     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
81     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
82     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
83     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
84     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
85     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
86     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
87 
88 
89     ////////////////////////////////////////
90     // Loop over shells and primitives
91     ////////////////////////////////////////
92 
93     real_abcd = 0;
94     istart = 0;
95     for(ab = 0; ab < P.nshell12_clip; ++ab)
96     {
97         const int iend = istart + P.nprim12[ab];
98 
99         cd = 0;
100         jstart = 0;
101 
102         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
103         {
104             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
105             int jend = jstart;
106             for(i = 0; i < nshellbatch; i++)
107                 jend += Q.nprim12[cd+i];
108 
109             // Clear the beginning of the workspace (where we are accumulating integrals)
110             memset(work, 0, SIMINT_NSHELL_SIMD * 476 * sizeof(double));
111             abcd = 0;
112 
113 
114             for(i = istart; i < iend; ++i)
115             {
116                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
117 
118                 if(check_screen)
119                 {
120                     // Skip this whole thing if always insignificant
121                     if((P.screen[i] * Q.screen_max) < screen_tol)
122                         continue;
123                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
124                 }
125 
126                 icd = 0;
127                 iprimcd = 0;
128                 nprim_icd = Q.nprim12[cd];
129                 double * restrict PRIM_PTR_INT__k_s_s_s = INT__k_s_s_s + abcd * 36;
130                 double * restrict PRIM_PTR_INT__l_s_s_s = INT__l_s_s_s + abcd * 45;
131                 double * restrict PRIM_PTR_INT__m_s_s_s = INT__m_s_s_s + abcd * 55;
132                 double * restrict PRIM_PTR_INT__n_s_s_s = INT__n_s_s_s + abcd * 66;
133                 double * restrict PRIM_PTR_INT__o_s_s_s = INT__o_s_s_s + abcd * 78;
134                 double * restrict PRIM_PTR_INT__q_s_s_s = INT__q_s_s_s + abcd * 91;
135                 double * restrict PRIM_PTR_INT__r_s_s_s = INT__r_s_s_s + abcd * 105;
136 
137 
138 
139                 // Load these one per loop over i
140                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
141                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
142                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
143 
144                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
145 
146                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
147                 {
148                     // calculate the shell offsets
149                     // these are the offset from the shell pointed to by cd
150                     // for each element
151                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
152                     int lastoffset = 0;
153                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
154 
155                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
156                     {
157                         // Handle if the first element of the vector is a new shell
158                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
159                         {
160                             nprim_icd += Q.nprim12[cd + (++icd)];
161                             PRIM_PTR_INT__k_s_s_s += 36;
162                             PRIM_PTR_INT__l_s_s_s += 45;
163                             PRIM_PTR_INT__m_s_s_s += 55;
164                             PRIM_PTR_INT__n_s_s_s += 66;
165                             PRIM_PTR_INT__o_s_s_s += 78;
166                             PRIM_PTR_INT__q_s_s_s += 91;
167                             PRIM_PTR_INT__r_s_s_s += 105;
168                         }
169                         iprimcd++;
170                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
171                         {
172                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
173                             {
174                                 shelloffsets[n] = shelloffsets[n-1] + 1;
175                                 lastoffset++;
176                                 nprim_icd += Q.nprim12[cd + (++icd)];
177                             }
178                             else
179                                 shelloffsets[n] = shelloffsets[n-1];
180                             iprimcd++;
181                         }
182                     }
183                     else
184                         iprimcd += SIMINT_SIMD_LEN;
185 
186                     // Do we have to compute this vector (or has it been screened out)?
187                     // (not_screened != 0 means we have to do this vector)
188                     if(check_screen)
189                     {
190                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
191                         if(vmax < screen_tol)
192                         {
193                             PRIM_PTR_INT__k_s_s_s += lastoffset*36;
194                             PRIM_PTR_INT__l_s_s_s += lastoffset*45;
195                             PRIM_PTR_INT__m_s_s_s += lastoffset*55;
196                             PRIM_PTR_INT__n_s_s_s += lastoffset*66;
197                             PRIM_PTR_INT__o_s_s_s += lastoffset*78;
198                             PRIM_PTR_INT__q_s_s_s += lastoffset*91;
199                             PRIM_PTR_INT__r_s_s_s += lastoffset*105;
200                             continue;
201                         }
202                     }
203 
204                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
205                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
206                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
207                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
208 
209 
210                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
211                     SIMINT_DBLTYPE PQ[3];
212                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
213                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
214                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
215                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
216                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
217                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
218 
219                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
220                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
221                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
222                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
223                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
224                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
225 
226                     // NOTE: Minus sign!
227                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
228                     SIMINT_DBLTYPE aop_PQ[3];
229                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
230                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
231                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
232 
233 
234                     //////////////////////////////////////////////
235                     // Fjt function section
236                     // Maximum v value: 13
237                     //////////////////////////////////////////////
238                     // The parameter to the Fjt function
239                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
240 
241 
242                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
243 
244 
245                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 13);
246                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
247                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
248                     for(n = 0; n <= 13; n++)
249                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
250 
251                     //////////////////////////////////////////////
252                     // Primitive integrals: Vertical recurrance
253                     //////////////////////////////////////////////
254 
255                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
256                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
257                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
258                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
259                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
260                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
261                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
262                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
263                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
264                     const SIMINT_DBLTYPE vrr_const_10_over_2p = SIMINT_MUL(const_10, one_over_2p);
265                     const SIMINT_DBLTYPE vrr_const_11_over_2p = SIMINT_MUL(const_11, one_over_2p);
266                     const SIMINT_DBLTYPE vrr_const_12_over_2p = SIMINT_MUL(const_12, one_over_2p);
267 
268 
269 
270                     // Forming PRIM_INT__p_s_s_s[13 * 3];
271                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
272                     {
273 
274                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
275                         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]);
276 
277                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
278                         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]);
279 
280                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
281                         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]);
282 
283                     }
284 
285 
286 
287                     // Forming PRIM_INT__d_s_s_s[12 * 6];
288                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
289                     {
290 
291                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
292                         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]);
293                         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]);
294 
295                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
296                         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]);
297                         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]);
298 
299                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
300                         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]);
301                         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]);
302 
303                     }
304 
305 
306 
307                     // Forming PRIM_INT__f_s_s_s[11 * 10];
308                     for(n = 0; n < 11; ++n)  // loop over orders of auxiliary function
309                     {
310 
311                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
312                         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]);
313                         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]);
314 
315                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
316                         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]);
317                         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]);
318 
319                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
320                         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]);
321                         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]);
322 
323                     }
324 
325 
326                     VRR_I_g_s_s_s(
327                             PRIM_INT__g_s_s_s,
328                             PRIM_INT__f_s_s_s,
329                             PRIM_INT__d_s_s_s,
330                             P_PA,
331                             a_over_p,
332                             aop_PQ,
333                             one_over_2p,
334                             10);
335 
336 
337                     VRR_I_h_s_s_s(
338                             PRIM_INT__h_s_s_s,
339                             PRIM_INT__g_s_s_s,
340                             PRIM_INT__f_s_s_s,
341                             P_PA,
342                             a_over_p,
343                             aop_PQ,
344                             one_over_2p,
345                             9);
346 
347 
348                     ostei_general_vrr1_I(6, 8,
349                             one_over_2p, a_over_p, aop_PQ, P_PA,
350                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
351 
352 
353                     ostei_general_vrr1_I(7, 7,
354                             one_over_2p, a_over_p, aop_PQ, P_PA,
355                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
356 
357 
358                     ostei_general_vrr1_I(8, 6,
359                             one_over_2p, a_over_p, aop_PQ, P_PA,
360                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
361 
362 
363                     ostei_general_vrr1_I(9, 5,
364                             one_over_2p, a_over_p, aop_PQ, P_PA,
365                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
366 
367 
368                     ostei_general_vrr1_I(10, 4,
369                             one_over_2p, a_over_p, aop_PQ, P_PA,
370                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
371 
372 
373                     ostei_general_vrr1_I(11, 3,
374                             one_over_2p, a_over_p, aop_PQ, P_PA,
375                             PRIM_INT__n_s_s_s, PRIM_INT__m_s_s_s, PRIM_INT__o_s_s_s);
376 
377 
378                     ostei_general_vrr1_I(12, 2,
379                             one_over_2p, a_over_p, aop_PQ, P_PA,
380                             PRIM_INT__o_s_s_s, PRIM_INT__n_s_s_s, PRIM_INT__q_s_s_s);
381 
382 
383                     ostei_general_vrr1_I(13, 1,
384                             one_over_2p, a_over_p, aop_PQ, P_PA,
385                             PRIM_INT__q_s_s_s, PRIM_INT__o_s_s_s, PRIM_INT__r_s_s_s);
386 
387 
388 
389 
390                     ////////////////////////////////////
391                     // Accumulate contracted integrals
392                     ////////////////////////////////////
393                     if(lastoffset == 0)
394                     {
395                         contract_all(36, PRIM_INT__k_s_s_s, PRIM_PTR_INT__k_s_s_s);
396                         contract_all(45, PRIM_INT__l_s_s_s, PRIM_PTR_INT__l_s_s_s);
397                         contract_all(55, PRIM_INT__m_s_s_s, PRIM_PTR_INT__m_s_s_s);
398                         contract_all(66, PRIM_INT__n_s_s_s, PRIM_PTR_INT__n_s_s_s);
399                         contract_all(78, PRIM_INT__o_s_s_s, PRIM_PTR_INT__o_s_s_s);
400                         contract_all(91, PRIM_INT__q_s_s_s, PRIM_PTR_INT__q_s_s_s);
401                         contract_all(105, PRIM_INT__r_s_s_s, PRIM_PTR_INT__r_s_s_s);
402                     }
403                     else
404                     {
405                         contract(36, shelloffsets, PRIM_INT__k_s_s_s, PRIM_PTR_INT__k_s_s_s);
406                         contract(45, shelloffsets, PRIM_INT__l_s_s_s, PRIM_PTR_INT__l_s_s_s);
407                         contract(55, shelloffsets, PRIM_INT__m_s_s_s, PRIM_PTR_INT__m_s_s_s);
408                         contract(66, shelloffsets, PRIM_INT__n_s_s_s, PRIM_PTR_INT__n_s_s_s);
409                         contract(78, shelloffsets, PRIM_INT__o_s_s_s, PRIM_PTR_INT__o_s_s_s);
410                         contract(91, shelloffsets, PRIM_INT__q_s_s_s, PRIM_PTR_INT__q_s_s_s);
411                         contract(105, shelloffsets, PRIM_INT__r_s_s_s, PRIM_PTR_INT__r_s_s_s);
412                         PRIM_PTR_INT__k_s_s_s += lastoffset*36;
413                         PRIM_PTR_INT__l_s_s_s += lastoffset*45;
414                         PRIM_PTR_INT__m_s_s_s += lastoffset*55;
415                         PRIM_PTR_INT__n_s_s_s += lastoffset*66;
416                         PRIM_PTR_INT__o_s_s_s += lastoffset*78;
417                         PRIM_PTR_INT__q_s_s_s += lastoffset*91;
418                         PRIM_PTR_INT__r_s_s_s += lastoffset*105;
419                     }
420 
421                 }  // close loop over j
422             }  // close loop over i
423 
424             //Advance to the next batch
425             jstart = SIMINT_SIMD_ROUND(jend);
426 
427             //////////////////////////////////////////////
428             // Contracted integrals: Horizontal recurrance
429             //////////////////////////////////////////////
430 
431 
432             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
433 
434 
435             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
436             {
437 
438                 // set up HRR pointers
439                 double const * restrict HRR_INT__k_s_s_s = INT__k_s_s_s + abcd * 36;
440                 double const * restrict HRR_INT__l_s_s_s = INT__l_s_s_s + abcd * 45;
441                 double const * restrict HRR_INT__m_s_s_s = INT__m_s_s_s + abcd * 55;
442                 double const * restrict HRR_INT__n_s_s_s = INT__n_s_s_s + abcd * 66;
443                 double const * restrict HRR_INT__o_s_s_s = INT__o_s_s_s + abcd * 78;
444                 double const * restrict HRR_INT__q_s_s_s = INT__q_s_s_s + abcd * 91;
445                 double const * restrict HRR_INT__r_s_s_s = INT__r_s_s_s + abcd * 105;
446                 double * restrict HRR_INT__k_i_s_s = INT__k_i_s_s + real_abcd * 1008;
447 
448                 // form INT__k_p_s_s
449                 ostei_general_hrr_J(7, 1, 0, 0, hAB, HRR_INT__l_s_s_s, HRR_INT__k_s_s_s, HRR_INT__k_p_s_s);
450 
451                 // form INT__l_p_s_s
452                 ostei_general_hrr_J(8, 1, 0, 0, hAB, HRR_INT__m_s_s_s, HRR_INT__l_s_s_s, HRR_INT__l_p_s_s);
453 
454                 // form INT__m_p_s_s
455                 ostei_general_hrr_J(9, 1, 0, 0, hAB, HRR_INT__n_s_s_s, HRR_INT__m_s_s_s, HRR_INT__m_p_s_s);
456 
457                 // form INT__n_p_s_s
458                 ostei_general_hrr_J(10, 1, 0, 0, hAB, HRR_INT__o_s_s_s, HRR_INT__n_s_s_s, HRR_INT__n_p_s_s);
459 
460                 // form INT__o_p_s_s
461                 ostei_general_hrr_J(11, 1, 0, 0, hAB, HRR_INT__q_s_s_s, HRR_INT__o_s_s_s, HRR_INT__o_p_s_s);
462 
463                 // form INT__q_p_s_s
464                 ostei_general_hrr_J(12, 1, 0, 0, hAB, HRR_INT__r_s_s_s, HRR_INT__q_s_s_s, HRR_INT__q_p_s_s);
465 
466                 // form INT__k_d_s_s
467                 ostei_general_hrr_J(7, 2, 0, 0, hAB, HRR_INT__l_p_s_s, HRR_INT__k_p_s_s, HRR_INT__k_d_s_s);
468 
469                 // form INT__l_d_s_s
470                 ostei_general_hrr_J(8, 2, 0, 0, hAB, HRR_INT__m_p_s_s, HRR_INT__l_p_s_s, HRR_INT__l_d_s_s);
471 
472                 // form INT__m_d_s_s
473                 ostei_general_hrr_J(9, 2, 0, 0, hAB, HRR_INT__n_p_s_s, HRR_INT__m_p_s_s, HRR_INT__m_d_s_s);
474 
475                 // form INT__n_d_s_s
476                 ostei_general_hrr_J(10, 2, 0, 0, hAB, HRR_INT__o_p_s_s, HRR_INT__n_p_s_s, HRR_INT__n_d_s_s);
477 
478                 // form INT__o_d_s_s
479                 ostei_general_hrr_J(11, 2, 0, 0, hAB, HRR_INT__q_p_s_s, HRR_INT__o_p_s_s, HRR_INT__o_d_s_s);
480 
481                 // form INT__k_f_s_s
482                 ostei_general_hrr_J(7, 3, 0, 0, hAB, HRR_INT__l_d_s_s, HRR_INT__k_d_s_s, HRR_INT__k_f_s_s);
483 
484                 // form INT__l_f_s_s
485                 ostei_general_hrr_J(8, 3, 0, 0, hAB, HRR_INT__m_d_s_s, HRR_INT__l_d_s_s, HRR_INT__l_f_s_s);
486 
487                 // form INT__m_f_s_s
488                 ostei_general_hrr_J(9, 3, 0, 0, hAB, HRR_INT__n_d_s_s, HRR_INT__m_d_s_s, HRR_INT__m_f_s_s);
489 
490                 // form INT__n_f_s_s
491                 ostei_general_hrr_J(10, 3, 0, 0, hAB, HRR_INT__o_d_s_s, HRR_INT__n_d_s_s, HRR_INT__n_f_s_s);
492 
493                 // form INT__k_g_s_s
494                 ostei_general_hrr_J(7, 4, 0, 0, hAB, HRR_INT__l_f_s_s, HRR_INT__k_f_s_s, HRR_INT__k_g_s_s);
495 
496                 // form INT__l_g_s_s
497                 ostei_general_hrr_J(8, 4, 0, 0, hAB, HRR_INT__m_f_s_s, HRR_INT__l_f_s_s, HRR_INT__l_g_s_s);
498 
499                 // form INT__m_g_s_s
500                 ostei_general_hrr_J(9, 4, 0, 0, hAB, HRR_INT__n_f_s_s, HRR_INT__m_f_s_s, HRR_INT__m_g_s_s);
501 
502                 // form INT__k_h_s_s
503                 ostei_general_hrr_J(7, 5, 0, 0, hAB, HRR_INT__l_g_s_s, HRR_INT__k_g_s_s, HRR_INT__k_h_s_s);
504 
505                 // form INT__l_h_s_s
506                 ostei_general_hrr_J(8, 5, 0, 0, hAB, HRR_INT__m_g_s_s, HRR_INT__l_g_s_s, HRR_INT__l_h_s_s);
507 
508                 // form INT__k_i_s_s
509                 ostei_general_hrr_J(7, 6, 0, 0, hAB, HRR_INT__l_h_s_s, HRR_INT__k_h_s_s, HRR_INT__k_i_s_s);
510 
511 
512             }  // close HRR loop
513 
514 
515         }   // close loop cdbatch
516 
517         istart = iend;
518     }  // close loop over ab
519 
520     return P.nshell12_clip * Q.nshell12_clip;
521 }
522 
ostei_i_k_s_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_k_s_s)523 int ostei_i_k_s_s(struct simint_multi_shellpair const P,
524                   struct simint_multi_shellpair const Q,
525                   double screen_tol,
526                   double * const restrict work,
527                   double * const restrict INT__i_k_s_s)
528 {
529     double P_AB[3*P.nshell12];
530     struct simint_multi_shellpair P_tmp = P;
531     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
532     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
533     P_tmp.AB_x = P_AB;
534     P_tmp.AB_y = P_AB + P.nshell12;
535     P_tmp.AB_z = P_AB + 2*P.nshell12;
536 
537     for(int i = 0; i < P.nshell12; i++)
538     {
539         P_tmp.AB_x[i] = -P.AB_x[i];
540         P_tmp.AB_y[i] = -P.AB_y[i];
541         P_tmp.AB_z[i] = -P.AB_z[i];
542     }
543 
544     int ret = ostei_k_i_s_s(P_tmp, Q, screen_tol, work, INT__i_k_s_s);
545     double buffer[1008] SIMINT_ALIGN_ARRAY_DBL;
546 
547     for(int q = 0; q < ret; q++)
548     {
549         int idx = 0;
550         for(int a = 0; a < 28; ++a)
551         for(int b = 0; b < 36; ++b)
552         for(int c = 0; c < 1; ++c)
553         for(int d = 0; d < 1; ++d)
554             buffer[idx++] = INT__i_k_s_s[q*1008+b*28+a*1+c*1+d];
555 
556         memcpy(INT__i_k_s_s+q*1008, buffer, 1008*sizeof(double));
557     }
558 
559     return ret;
560 }
561 
562