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_d_p_h_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_p_h_s)8 int ostei_d_p_h_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__d_p_h_s)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__d_p_h_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__d_s_h_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__f_s_h_s = work + (SIMINT_NSHELL_SIMD * 126);
30     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*336);
31     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
32     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 9;
33     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 33;
34     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 75;
35     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 135;
36     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 210;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 294;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 384;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 519;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 708;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 888;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 1140;
43     double * const hrrwork = (double *)(primwork + 1350);
44 
45 
46     // Create constants
47     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
48     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
49     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
50     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
51     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
52     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
53 
54 
55     ////////////////////////////////////////
56     // Loop over shells and primitives
57     ////////////////////////////////////////
58 
59     real_abcd = 0;
60     istart = 0;
61     for(ab = 0; ab < P.nshell12_clip; ++ab)
62     {
63         const int iend = istart + P.nprim12[ab];
64 
65         cd = 0;
66         jstart = 0;
67 
68         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
69         {
70             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
71             int jend = jstart;
72             for(i = 0; i < nshellbatch; i++)
73                 jend += Q.nprim12[cd+i];
74 
75             // Clear the beginning of the workspace (where we are accumulating integrals)
76             memset(work, 0, SIMINT_NSHELL_SIMD * 336 * sizeof(double));
77             abcd = 0;
78 
79 
80             for(i = istart; i < iend; ++i)
81             {
82                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
83 
84                 if(check_screen)
85                 {
86                     // Skip this whole thing if always insignificant
87                     if((P.screen[i] * Q.screen_max) < screen_tol)
88                         continue;
89                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
90                 }
91 
92                 icd = 0;
93                 iprimcd = 0;
94                 nprim_icd = Q.nprim12[cd];
95                 double * restrict PRIM_PTR_INT__d_s_h_s = INT__d_s_h_s + abcd * 126;
96                 double * restrict PRIM_PTR_INT__f_s_h_s = INT__f_s_h_s + abcd * 210;
97 
98 
99 
100                 // Load these one per loop over i
101                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
102                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
103                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
104 
105                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
106 
107                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
108                 {
109                     // calculate the shell offsets
110                     // these are the offset from the shell pointed to by cd
111                     // for each element
112                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
113                     int lastoffset = 0;
114                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
115 
116                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
117                     {
118                         // Handle if the first element of the vector is a new shell
119                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
120                         {
121                             nprim_icd += Q.nprim12[cd + (++icd)];
122                             PRIM_PTR_INT__d_s_h_s += 126;
123                             PRIM_PTR_INT__f_s_h_s += 210;
124                         }
125                         iprimcd++;
126                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
127                         {
128                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
129                             {
130                                 shelloffsets[n] = shelloffsets[n-1] + 1;
131                                 lastoffset++;
132                                 nprim_icd += Q.nprim12[cd + (++icd)];
133                             }
134                             else
135                                 shelloffsets[n] = shelloffsets[n-1];
136                             iprimcd++;
137                         }
138                     }
139                     else
140                         iprimcd += SIMINT_SIMD_LEN;
141 
142                     // Do we have to compute this vector (or has it been screened out)?
143                     // (not_screened != 0 means we have to do this vector)
144                     if(check_screen)
145                     {
146                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
147                         if(vmax < screen_tol)
148                         {
149                             PRIM_PTR_INT__d_s_h_s += lastoffset*126;
150                             PRIM_PTR_INT__f_s_h_s += lastoffset*210;
151                             continue;
152                         }
153                     }
154 
155                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
156                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
157                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
158                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
159 
160 
161                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
162                     SIMINT_DBLTYPE PQ[3];
163                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
164                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
165                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
166                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
167                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
168                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
169 
170                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
171                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
172                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
173                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
174                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
175                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
176                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
177 
178                     // NOTE: Minus sign!
179                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
180                     SIMINT_DBLTYPE aop_PQ[3];
181                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
182                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
183                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
184 
185                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
186                     SIMINT_DBLTYPE aoq_PQ[3];
187                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
188                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
189                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
190                     // Put a minus sign here so we don't have to in RR routines
191                     a_over_q = SIMINT_NEG(a_over_q);
192 
193 
194                     //////////////////////////////////////////////
195                     // Fjt function section
196                     // Maximum v value: 8
197                     //////////////////////////////////////////////
198                     // The parameter to the Fjt function
199                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
200 
201 
202                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
203 
204 
205                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 8);
206                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
207                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
208                     for(n = 0; n <= 8; n++)
209                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
210 
211                     //////////////////////////////////////////////
212                     // Primitive integrals: Vertical recurrance
213                     //////////////////////////////////////////////
214 
215                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
216                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
217                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
218                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
219                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
220                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
221                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
222                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
223                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
224                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
225                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
226 
227 
228 
229                     // Forming PRIM_INT__s_s_p_s[8 * 3];
230                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
231                     {
232 
233                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
234                         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]);
235 
236                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
237                         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]);
238 
239                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
240                         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]);
241 
242                     }
243 
244 
245 
246                     // Forming PRIM_INT__s_s_d_s[7 * 6];
247                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
248                     {
249 
250                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
251                         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]);
252                         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]);
253 
254                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
255                         PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 1]);
256 
257                         PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
258                         PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 2]);
259 
260                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
261                         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]);
262                         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]);
263 
264                         PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
265                         PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_d_s[n * 6 + 4]);
266 
267                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
268                         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]);
269                         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]);
270 
271                     }
272 
273 
274 
275                     // Forming PRIM_INT__s_s_f_s[6 * 10];
276                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
277                     {
278 
279                         PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
280                         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]);
281                         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]);
282 
283                         PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
284                         PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 1]);
285 
286                         PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
287                         PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 2]);
288 
289                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
290                         PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 3]);
291 
292                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
293                         PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__s_s_f_s[n * 10 + 4]);
294 
295                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
296                         PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 5]);
297 
298                         PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
299                         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]);
300                         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]);
301 
302                         PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
303                         PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 7]);
304 
305                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
306                         PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 8]);
307 
308                         PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
309                         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]);
310                         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]);
311 
312                     }
313 
314 
315                     VRR_K_s_s_g_s(
316                             PRIM_INT__s_s_g_s,
317                             PRIM_INT__s_s_f_s,
318                             PRIM_INT__s_s_d_s,
319                             Q_PA,
320                             a_over_q,
321                             aoq_PQ,
322                             one_over_2q,
323                             5);
324 
325 
326                     VRR_K_s_s_h_s(
327                             PRIM_INT__s_s_h_s,
328                             PRIM_INT__s_s_g_s,
329                             PRIM_INT__s_s_f_s,
330                             Q_PA,
331                             a_over_q,
332                             aoq_PQ,
333                             one_over_2q,
334                             4);
335 
336 
337                     ostei_general_vrr_I(1, 0, 5, 0, 3,
338                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
339                             PRIM_INT__s_s_h_s, NULL, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
340 
341 
342                     VRR_I_p_s_g_s(
343                             PRIM_INT__p_s_g_s,
344                             PRIM_INT__s_s_g_s,
345                             PRIM_INT__s_s_f_s,
346                             P_PA,
347                             aop_PQ,
348                             one_over_2pq,
349                             3);
350 
351 
352                     ostei_general_vrr_I(2, 0, 5, 0, 2,
353                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
354                             PRIM_INT__p_s_h_s, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_h_s);
355 
356 
357                     VRR_I_p_s_f_s(
358                             PRIM_INT__p_s_f_s,
359                             PRIM_INT__s_s_f_s,
360                             PRIM_INT__s_s_d_s,
361                             P_PA,
362                             aop_PQ,
363                             one_over_2pq,
364                             3);
365 
366 
367                     ostei_general_vrr_I(2, 0, 4, 0, 2,
368                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
369                             PRIM_INT__p_s_g_s, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
370 
371 
372                     ostei_general_vrr_I(3, 0, 5, 0, 1,
373                             one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
374                             PRIM_INT__d_s_h_s, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
375 
376 
377 
378 
379                     ////////////////////////////////////
380                     // Accumulate contracted integrals
381                     ////////////////////////////////////
382                     if(lastoffset == 0)
383                     {
384                         contract_all(126, PRIM_INT__d_s_h_s, PRIM_PTR_INT__d_s_h_s);
385                         contract_all(210, PRIM_INT__f_s_h_s, PRIM_PTR_INT__f_s_h_s);
386                     }
387                     else
388                     {
389                         contract(126, shelloffsets, PRIM_INT__d_s_h_s, PRIM_PTR_INT__d_s_h_s);
390                         contract(210, shelloffsets, PRIM_INT__f_s_h_s, PRIM_PTR_INT__f_s_h_s);
391                         PRIM_PTR_INT__d_s_h_s += lastoffset*126;
392                         PRIM_PTR_INT__f_s_h_s += lastoffset*210;
393                     }
394 
395                 }  // close loop over j
396             }  // close loop over i
397 
398             //Advance to the next batch
399             jstart = SIMINT_SIMD_ROUND(jend);
400 
401             //////////////////////////////////////////////
402             // Contracted integrals: Horizontal recurrance
403             //////////////////////////////////////////////
404 
405 
406             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
407 
408 
409             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
410             {
411 
412                 // set up HRR pointers
413                 double const * restrict HRR_INT__d_s_h_s = INT__d_s_h_s + abcd * 126;
414                 double const * restrict HRR_INT__f_s_h_s = INT__f_s_h_s + abcd * 210;
415                 double * restrict HRR_INT__d_p_h_s = INT__d_p_h_s + real_abcd * 378;
416 
417                 // form INT__d_p_h_s
418                 for(iket = 0; iket < 21; ++iket)
419                 {
420                     HRR_INT__d_p_h_s[0 * 21 + iket] = HRR_INT__f_s_h_s[0 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[0 * 21 + iket] );
421 
422                     HRR_INT__d_p_h_s[1 * 21 + iket] = HRR_INT__f_s_h_s[1 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[0 * 21 + iket] );
423 
424                     HRR_INT__d_p_h_s[2 * 21 + iket] = HRR_INT__f_s_h_s[2 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[0 * 21 + iket] );
425 
426                     HRR_INT__d_p_h_s[3 * 21 + iket] = HRR_INT__f_s_h_s[1 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[1 * 21 + iket] );
427 
428                     HRR_INT__d_p_h_s[4 * 21 + iket] = HRR_INT__f_s_h_s[3 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[1 * 21 + iket] );
429 
430                     HRR_INT__d_p_h_s[5 * 21 + iket] = HRR_INT__f_s_h_s[4 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[1 * 21 + iket] );
431 
432                     HRR_INT__d_p_h_s[6 * 21 + iket] = HRR_INT__f_s_h_s[2 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[2 * 21 + iket] );
433 
434                     HRR_INT__d_p_h_s[7 * 21 + iket] = HRR_INT__f_s_h_s[4 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[2 * 21 + iket] );
435 
436                     HRR_INT__d_p_h_s[8 * 21 + iket] = HRR_INT__f_s_h_s[5 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[2 * 21 + iket] );
437 
438                     HRR_INT__d_p_h_s[9 * 21 + iket] = HRR_INT__f_s_h_s[3 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[3 * 21 + iket] );
439 
440                     HRR_INT__d_p_h_s[10 * 21 + iket] = HRR_INT__f_s_h_s[6 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[3 * 21 + iket] );
441 
442                     HRR_INT__d_p_h_s[11 * 21 + iket] = HRR_INT__f_s_h_s[7 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[3 * 21 + iket] );
443 
444                     HRR_INT__d_p_h_s[12 * 21 + iket] = HRR_INT__f_s_h_s[4 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[4 * 21 + iket] );
445 
446                     HRR_INT__d_p_h_s[13 * 21 + iket] = HRR_INT__f_s_h_s[7 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[4 * 21 + iket] );
447 
448                     HRR_INT__d_p_h_s[14 * 21 + iket] = HRR_INT__f_s_h_s[8 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[4 * 21 + iket] );
449 
450                     HRR_INT__d_p_h_s[15 * 21 + iket] = HRR_INT__f_s_h_s[5 * 21 + iket] + ( hAB[0] * HRR_INT__d_s_h_s[5 * 21 + iket] );
451 
452                     HRR_INT__d_p_h_s[16 * 21 + iket] = HRR_INT__f_s_h_s[8 * 21 + iket] + ( hAB[1] * HRR_INT__d_s_h_s[5 * 21 + iket] );
453 
454                     HRR_INT__d_p_h_s[17 * 21 + iket] = HRR_INT__f_s_h_s[9 * 21 + iket] + ( hAB[2] * HRR_INT__d_s_h_s[5 * 21 + iket] );
455 
456                 }
457 
458 
459 
460             }  // close HRR loop
461 
462 
463         }   // close loop cdbatch
464 
465         istart = iend;
466     }  // close loop over ab
467 
468     return P.nshell12_clip * Q.nshell12_clip;
469 }
470 
ostei_p_d_h_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__p_d_h_s)471 int ostei_p_d_h_s(struct simint_multi_shellpair const P,
472                   struct simint_multi_shellpair const Q,
473                   double screen_tol,
474                   double * const restrict work,
475                   double * const restrict INT__p_d_h_s)
476 {
477     double P_AB[3*P.nshell12];
478     struct simint_multi_shellpair P_tmp = P;
479     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
480     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
481     P_tmp.AB_x = P_AB;
482     P_tmp.AB_y = P_AB + P.nshell12;
483     P_tmp.AB_z = P_AB + 2*P.nshell12;
484 
485     for(int i = 0; i < P.nshell12; i++)
486     {
487         P_tmp.AB_x[i] = -P.AB_x[i];
488         P_tmp.AB_y[i] = -P.AB_y[i];
489         P_tmp.AB_z[i] = -P.AB_z[i];
490     }
491 
492     int ret = ostei_d_p_h_s(P_tmp, Q, screen_tol, work, INT__p_d_h_s);
493     double buffer[378] SIMINT_ALIGN_ARRAY_DBL;
494 
495     for(int q = 0; q < ret; q++)
496     {
497         int idx = 0;
498         for(int a = 0; a < 3; ++a)
499         for(int b = 0; b < 6; ++b)
500         for(int c = 0; c < 21; ++c)
501         for(int d = 0; d < 1; ++d)
502             buffer[idx++] = INT__p_d_h_s[q*378+b*63+a*21+c*1+d];
503 
504         memcpy(INT__p_d_h_s+q*378, buffer, 378*sizeof(double));
505     }
506 
507     return ret;
508 }
509 
ostei_d_p_s_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_p_s_h)510 int ostei_d_p_s_h(struct simint_multi_shellpair const P,
511                   struct simint_multi_shellpair const Q,
512                   double screen_tol,
513                   double * const restrict work,
514                   double * const restrict INT__d_p_s_h)
515 {
516     double Q_AB[3*Q.nshell12];
517     struct simint_multi_shellpair Q_tmp = Q;
518     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
519     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
520     Q_tmp.AB_x = Q_AB;
521     Q_tmp.AB_y = Q_AB + Q.nshell12;
522     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
523 
524     for(int i = 0; i < Q.nshell12; i++)
525     {
526         Q_tmp.AB_x[i] = -Q.AB_x[i];
527         Q_tmp.AB_y[i] = -Q.AB_y[i];
528         Q_tmp.AB_z[i] = -Q.AB_z[i];
529     }
530 
531     int ret = ostei_d_p_h_s(P, Q_tmp, screen_tol, work, INT__d_p_s_h);
532     double buffer[378] SIMINT_ALIGN_ARRAY_DBL;
533 
534     for(int q = 0; q < ret; q++)
535     {
536         int idx = 0;
537         for(int a = 0; a < 6; ++a)
538         for(int b = 0; b < 3; ++b)
539         for(int c = 0; c < 1; ++c)
540         for(int d = 0; d < 21; ++d)
541             buffer[idx++] = INT__d_p_s_h[q*378+a*63+b*21+d*1+c];
542 
543         memcpy(INT__d_p_s_h+q*378, buffer, 378*sizeof(double));
544     }
545 
546     return ret;
547 }
548 
ostei_p_d_s_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__p_d_s_h)549 int ostei_p_d_s_h(struct simint_multi_shellpair const P,
550                   struct simint_multi_shellpair const Q,
551                   double screen_tol,
552                   double * const restrict work,
553                   double * const restrict INT__p_d_s_h)
554 {
555     double P_AB[3*P.nshell12];
556     struct simint_multi_shellpair P_tmp = P;
557     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
558     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
559     P_tmp.AB_x = P_AB;
560     P_tmp.AB_y = P_AB + P.nshell12;
561     P_tmp.AB_z = P_AB + 2*P.nshell12;
562 
563     for(int i = 0; i < P.nshell12; i++)
564     {
565         P_tmp.AB_x[i] = -P.AB_x[i];
566         P_tmp.AB_y[i] = -P.AB_y[i];
567         P_tmp.AB_z[i] = -P.AB_z[i];
568     }
569 
570     double Q_AB[3*Q.nshell12];
571     struct simint_multi_shellpair Q_tmp = Q;
572     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
573     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
574     Q_tmp.AB_x = Q_AB;
575     Q_tmp.AB_y = Q_AB + Q.nshell12;
576     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
577 
578     for(int i = 0; i < Q.nshell12; i++)
579     {
580         Q_tmp.AB_x[i] = -Q.AB_x[i];
581         Q_tmp.AB_y[i] = -Q.AB_y[i];
582         Q_tmp.AB_z[i] = -Q.AB_z[i];
583     }
584 
585     int ret = ostei_d_p_h_s(P_tmp, Q_tmp, screen_tol, work, INT__p_d_s_h);
586     double buffer[378] SIMINT_ALIGN_ARRAY_DBL;
587 
588     for(int q = 0; q < ret; q++)
589     {
590         int idx = 0;
591         for(int a = 0; a < 3; ++a)
592         for(int b = 0; b < 6; ++b)
593         for(int c = 0; c < 1; ++c)
594         for(int d = 0; d < 21; ++d)
595             buffer[idx++] = INT__p_d_s_h[q*378+b*63+a*21+d*1+c];
596 
597         memcpy(INT__p_d_s_h+q*378, buffer, 378*sizeof(double));
598     }
599 
600     return ret;
601 }
602 
603