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_h_f_f_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_f_f_s)8 int ostei_h_f_f_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__h_f_f_s)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__h_f_f_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__h_s_f_s = work + (SIMINT_NSHELL_SIMD * 0);
29     double * const INT__i_s_f_s = work + (SIMINT_NSHELL_SIMD * 210);
30     double * const INT__k_s_f_s = work + (SIMINT_NSHELL_SIMD * 490);
31     double * const INT__l_s_f_s = work + (SIMINT_NSHELL_SIMD * 850);
32     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*1300);
33     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
34     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 12;
35     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 45;
36     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 105;
37     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 195;
38     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 285;
39     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 405;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 540;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 720;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 867;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 1056;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 1308;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 1518;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 1686;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 1938;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 2274;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 2554;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 2734;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 3058;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 3490;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 3850;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 4030;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 4435;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 4975;
57     double * const hrrwork = (double *)(primwork + 5425);
58     double * const HRR_INT__h_p_f_s = hrrwork + 0;
59     double * const HRR_INT__h_d_f_s = hrrwork + 630;
60     double * const HRR_INT__i_p_f_s = hrrwork + 1890;
61     double * const HRR_INT__i_d_f_s = hrrwork + 2730;
62     double * const HRR_INT__k_p_f_s = hrrwork + 4410;
63 
64 
65     // Create constants
66     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
67     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
68     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
69     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
70     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
71     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
72     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
73     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
74     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
75 
76 
77     ////////////////////////////////////////
78     // Loop over shells and primitives
79     ////////////////////////////////////////
80 
81     real_abcd = 0;
82     istart = 0;
83     for(ab = 0; ab < P.nshell12_clip; ++ab)
84     {
85         const int iend = istart + P.nprim12[ab];
86 
87         cd = 0;
88         jstart = 0;
89 
90         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
91         {
92             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
93             int jend = jstart;
94             for(i = 0; i < nshellbatch; i++)
95                 jend += Q.nprim12[cd+i];
96 
97             // Clear the beginning of the workspace (where we are accumulating integrals)
98             memset(work, 0, SIMINT_NSHELL_SIMD * 1300 * sizeof(double));
99             abcd = 0;
100 
101 
102             for(i = istart; i < iend; ++i)
103             {
104                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
105 
106                 if(check_screen)
107                 {
108                     // Skip this whole thing if always insignificant
109                     if((P.screen[i] * Q.screen_max) < screen_tol)
110                         continue;
111                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
112                 }
113 
114                 icd = 0;
115                 iprimcd = 0;
116                 nprim_icd = Q.nprim12[cd];
117                 double * restrict PRIM_PTR_INT__h_s_f_s = INT__h_s_f_s + abcd * 210;
118                 double * restrict PRIM_PTR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
119                 double * restrict PRIM_PTR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
120                 double * restrict PRIM_PTR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
121 
122 
123 
124                 // Load these one per loop over i
125                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
126                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
127                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
128 
129                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
130 
131                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
132                 {
133                     // calculate the shell offsets
134                     // these are the offset from the shell pointed to by cd
135                     // for each element
136                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
137                     int lastoffset = 0;
138                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
139 
140                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
141                     {
142                         // Handle if the first element of the vector is a new shell
143                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
144                         {
145                             nprim_icd += Q.nprim12[cd + (++icd)];
146                             PRIM_PTR_INT__h_s_f_s += 210;
147                             PRIM_PTR_INT__i_s_f_s += 280;
148                             PRIM_PTR_INT__k_s_f_s += 360;
149                             PRIM_PTR_INT__l_s_f_s += 450;
150                         }
151                         iprimcd++;
152                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
153                         {
154                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
155                             {
156                                 shelloffsets[n] = shelloffsets[n-1] + 1;
157                                 lastoffset++;
158                                 nprim_icd += Q.nprim12[cd + (++icd)];
159                             }
160                             else
161                                 shelloffsets[n] = shelloffsets[n-1];
162                             iprimcd++;
163                         }
164                     }
165                     else
166                         iprimcd += SIMINT_SIMD_LEN;
167 
168                     // Do we have to compute this vector (or has it been screened out)?
169                     // (not_screened != 0 means we have to do this vector)
170                     if(check_screen)
171                     {
172                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
173                         if(vmax < screen_tol)
174                         {
175                             PRIM_PTR_INT__h_s_f_s += lastoffset*210;
176                             PRIM_PTR_INT__i_s_f_s += lastoffset*280;
177                             PRIM_PTR_INT__k_s_f_s += lastoffset*360;
178                             PRIM_PTR_INT__l_s_f_s += lastoffset*450;
179                             continue;
180                         }
181                     }
182 
183                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
184                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
185                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
186                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
187 
188 
189                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
190                     SIMINT_DBLTYPE PQ[3];
191                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
192                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
193                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
194                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
195                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
196                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
197 
198                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
199                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
200                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
201                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
202                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
203                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
204                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
205 
206                     // NOTE: Minus sign!
207                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
208                     SIMINT_DBLTYPE aop_PQ[3];
209                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
210                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
211                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
212 
213                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
214                     SIMINT_DBLTYPE aoq_PQ[3];
215                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
216                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
217                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
218                     // Put a minus sign here so we don't have to in RR routines
219                     a_over_q = SIMINT_NEG(a_over_q);
220 
221 
222                     //////////////////////////////////////////////
223                     // Fjt function section
224                     // Maximum v value: 11
225                     //////////////////////////////////////////////
226                     // The parameter to the Fjt function
227                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
228 
229 
230                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
231 
232 
233                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 11);
234                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
235                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
236                     for(n = 0; n <= 11; n++)
237                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
238 
239                     //////////////////////////////////////////////
240                     // Primitive integrals: Vertical recurrance
241                     //////////////////////////////////////////////
242 
243                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
244                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
245                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
246                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
247                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
248                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
249                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
250                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
251                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
252                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
253                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
254                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
255                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
256                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
257                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
258                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
259                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
260 
261 
262 
263                     // Forming PRIM_INT__p_s_s_s[11 * 3];
264                     for(n = 0; n < 11; ++n)  // loop over orders of auxiliary function
265                     {
266 
267                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
268                         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]);
269 
270                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
271                         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]);
272 
273                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
274                         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]);
275 
276                     }
277 
278 
279 
280                     // Forming PRIM_INT__d_s_s_s[10 * 6];
281                     for(n = 0; n < 10; ++n)  // loop over orders of auxiliary function
282                     {
283 
284                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
285                         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]);
286                         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]);
287 
288                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
289                         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]);
290 
291                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
292                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_s_s[n * 6 + 2]);
293 
294                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
295                         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]);
296                         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]);
297 
298                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
299                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_s_s[n * 6 + 4]);
300 
301                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
302                         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]);
303                         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]);
304 
305                     }
306 
307 
308 
309                     // Forming PRIM_INT__f_s_s_s[9 * 10];
310                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
311                     {
312 
313                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
314                         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]);
315                         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]);
316 
317                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
318                         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]);
319 
320                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
321                         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]);
322 
323                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
324                         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]);
325 
326                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
327                         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]);
328 
329                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
330                         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]);
331 
332                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
333                         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]);
334                         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]);
335 
336                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
337                         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]);
338 
339                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
340                         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]);
341 
342                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
343                         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]);
344                         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]);
345 
346                     }
347 
348 
349                     VRR_I_g_s_s_s(
350                             PRIM_INT__g_s_s_s,
351                             PRIM_INT__f_s_s_s,
352                             PRIM_INT__d_s_s_s,
353                             P_PA,
354                             a_over_p,
355                             aop_PQ,
356                             one_over_2p,
357                             8);
358 
359 
360                     VRR_I_h_s_s_s(
361                             PRIM_INT__h_s_s_s,
362                             PRIM_INT__g_s_s_s,
363                             PRIM_INT__f_s_s_s,
364                             P_PA,
365                             a_over_p,
366                             aop_PQ,
367                             one_over_2p,
368                             7);
369 
370 
371                     ostei_general_vrr_K(5, 0, 1, 0, 3,
372                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
373                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
374 
375 
376                     VRR_K_g_s_p_s(
377                             PRIM_INT__g_s_p_s,
378                             PRIM_INT__g_s_s_s,
379                             PRIM_INT__f_s_s_s,
380                             Q_PA,
381                             aoq_PQ,
382                             one_over_2pq,
383                             3);
384 
385 
386                     ostei_general_vrr_K(5, 0, 2, 0, 2,
387                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
388                             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);
389 
390 
391                     VRR_K_f_s_p_s(
392                             PRIM_INT__f_s_p_s,
393                             PRIM_INT__f_s_s_s,
394                             PRIM_INT__d_s_s_s,
395                             Q_PA,
396                             aoq_PQ,
397                             one_over_2pq,
398                             3);
399 
400 
401                     ostei_general_vrr_K(4, 0, 2, 0, 2,
402                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
403                             PRIM_INT__g_s_p_s, PRIM_INT__g_s_s_s, NULL, PRIM_INT__f_s_p_s, NULL, PRIM_INT__g_s_d_s);
404 
405 
406                     ostei_general_vrr_K(5, 0, 3, 0, 1,
407                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
408                             PRIM_INT__h_s_d_s, PRIM_INT__h_s_p_s, NULL, PRIM_INT__g_s_d_s, NULL, PRIM_INT__h_s_f_s);
409 
410 
411                     ostei_general_vrr1_I(6, 6,
412                             one_over_2p, a_over_p, aop_PQ, P_PA,
413                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
414 
415 
416                     ostei_general_vrr_K(6, 0, 1, 0, 3,
417                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
418                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
419 
420 
421                     ostei_general_vrr_K(6, 0, 2, 0, 2,
422                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
423                             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);
424 
425 
426                     ostei_general_vrr_K(6, 0, 3, 0, 1,
427                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
428                             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);
429 
430 
431                     ostei_general_vrr1_I(7, 5,
432                             one_over_2p, a_over_p, aop_PQ, P_PA,
433                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
434 
435 
436                     ostei_general_vrr_K(7, 0, 1, 0, 3,
437                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
438                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
439 
440 
441                     ostei_general_vrr_K(7, 0, 2, 0, 2,
442                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
443                             PRIM_INT__k_s_p_s, PRIM_INT__k_s_s_s, NULL, PRIM_INT__i_s_p_s, NULL, PRIM_INT__k_s_d_s);
444 
445 
446                     ostei_general_vrr_K(7, 0, 3, 0, 1,
447                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
448                             PRIM_INT__k_s_d_s, PRIM_INT__k_s_p_s, NULL, PRIM_INT__i_s_d_s, NULL, PRIM_INT__k_s_f_s);
449 
450 
451                     ostei_general_vrr1_I(8, 4,
452                             one_over_2p, a_over_p, aop_PQ, P_PA,
453                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
454 
455 
456                     ostei_general_vrr_K(8, 0, 1, 0, 3,
457                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
458                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
459 
460 
461                     ostei_general_vrr_K(8, 0, 2, 0, 2,
462                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
463                             PRIM_INT__l_s_p_s, PRIM_INT__l_s_s_s, NULL, PRIM_INT__k_s_p_s, NULL, PRIM_INT__l_s_d_s);
464 
465 
466                     ostei_general_vrr_K(8, 0, 3, 0, 1,
467                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
468                             PRIM_INT__l_s_d_s, PRIM_INT__l_s_p_s, NULL, PRIM_INT__k_s_d_s, NULL, PRIM_INT__l_s_f_s);
469 
470 
471 
472 
473                     ////////////////////////////////////
474                     // Accumulate contracted integrals
475                     ////////////////////////////////////
476                     if(lastoffset == 0)
477                     {
478                         contract_all(210, PRIM_INT__h_s_f_s, PRIM_PTR_INT__h_s_f_s);
479                         contract_all(280, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
480                         contract_all(360, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
481                         contract_all(450, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
482                     }
483                     else
484                     {
485                         contract(210, shelloffsets, PRIM_INT__h_s_f_s, PRIM_PTR_INT__h_s_f_s);
486                         contract(280, shelloffsets, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
487                         contract(360, shelloffsets, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
488                         contract(450, shelloffsets, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
489                         PRIM_PTR_INT__h_s_f_s += lastoffset*210;
490                         PRIM_PTR_INT__i_s_f_s += lastoffset*280;
491                         PRIM_PTR_INT__k_s_f_s += lastoffset*360;
492                         PRIM_PTR_INT__l_s_f_s += lastoffset*450;
493                     }
494 
495                 }  // close loop over j
496             }  // close loop over i
497 
498             //Advance to the next batch
499             jstart = SIMINT_SIMD_ROUND(jend);
500 
501             //////////////////////////////////////////////
502             // Contracted integrals: Horizontal recurrance
503             //////////////////////////////////////////////
504 
505 
506             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
507 
508 
509             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
510             {
511 
512                 // set up HRR pointers
513                 double const * restrict HRR_INT__h_s_f_s = INT__h_s_f_s + abcd * 210;
514                 double const * restrict HRR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
515                 double const * restrict HRR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
516                 double const * restrict HRR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
517                 double * restrict HRR_INT__h_f_f_s = INT__h_f_f_s + real_abcd * 2100;
518 
519                 // form INT__h_p_f_s
520                 ostei_general_hrr_J(5, 1, 3, 0, hAB, HRR_INT__i_s_f_s, HRR_INT__h_s_f_s, HRR_INT__h_p_f_s);
521 
522                 // form INT__i_p_f_s
523                 ostei_general_hrr_J(6, 1, 3, 0, hAB, HRR_INT__k_s_f_s, HRR_INT__i_s_f_s, HRR_INT__i_p_f_s);
524 
525                 // form INT__k_p_f_s
526                 ostei_general_hrr_J(7, 1, 3, 0, hAB, HRR_INT__l_s_f_s, HRR_INT__k_s_f_s, HRR_INT__k_p_f_s);
527 
528                 // form INT__h_d_f_s
529                 ostei_general_hrr_J(5, 2, 3, 0, hAB, HRR_INT__i_p_f_s, HRR_INT__h_p_f_s, HRR_INT__h_d_f_s);
530 
531                 // form INT__i_d_f_s
532                 ostei_general_hrr_J(6, 2, 3, 0, hAB, HRR_INT__k_p_f_s, HRR_INT__i_p_f_s, HRR_INT__i_d_f_s);
533 
534                 // form INT__h_f_f_s
535                 ostei_general_hrr_J(5, 3, 3, 0, hAB, HRR_INT__i_d_f_s, HRR_INT__h_d_f_s, HRR_INT__h_f_f_s);
536 
537 
538             }  // close HRR loop
539 
540 
541         }   // close loop cdbatch
542 
543         istart = iend;
544     }  // close loop over ab
545 
546     return P.nshell12_clip * Q.nshell12_clip;
547 }
548 
ostei_f_h_f_s(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__f_h_f_s)549 int ostei_f_h_f_s(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__f_h_f_s)
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     int ret = ostei_h_f_f_s(P_tmp, Q, screen_tol, work, INT__f_h_f_s);
571     double buffer[2100] SIMINT_ALIGN_ARRAY_DBL;
572 
573     for(int q = 0; q < ret; q++)
574     {
575         int idx = 0;
576         for(int a = 0; a < 10; ++a)
577         for(int b = 0; b < 21; ++b)
578         for(int c = 0; c < 10; ++c)
579         for(int d = 0; d < 1; ++d)
580             buffer[idx++] = INT__f_h_f_s[q*2100+b*100+a*10+c*1+d];
581 
582         memcpy(INT__f_h_f_s+q*2100, buffer, 2100*sizeof(double));
583     }
584 
585     return ret;
586 }
587 
ostei_h_f_s_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_f_s_f)588 int ostei_h_f_s_f(struct simint_multi_shellpair const P,
589                   struct simint_multi_shellpair const Q,
590                   double screen_tol,
591                   double * const restrict work,
592                   double * const restrict INT__h_f_s_f)
593 {
594     double Q_AB[3*Q.nshell12];
595     struct simint_multi_shellpair Q_tmp = Q;
596     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
597     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
598     Q_tmp.AB_x = Q_AB;
599     Q_tmp.AB_y = Q_AB + Q.nshell12;
600     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
601 
602     for(int i = 0; i < Q.nshell12; i++)
603     {
604         Q_tmp.AB_x[i] = -Q.AB_x[i];
605         Q_tmp.AB_y[i] = -Q.AB_y[i];
606         Q_tmp.AB_z[i] = -Q.AB_z[i];
607     }
608 
609     int ret = ostei_h_f_f_s(P, Q_tmp, screen_tol, work, INT__h_f_s_f);
610     double buffer[2100] SIMINT_ALIGN_ARRAY_DBL;
611 
612     for(int q = 0; q < ret; q++)
613     {
614         int idx = 0;
615         for(int a = 0; a < 21; ++a)
616         for(int b = 0; b < 10; ++b)
617         for(int c = 0; c < 1; ++c)
618         for(int d = 0; d < 10; ++d)
619             buffer[idx++] = INT__h_f_s_f[q*2100+a*100+b*10+d*1+c];
620 
621         memcpy(INT__h_f_s_f+q*2100, buffer, 2100*sizeof(double));
622     }
623 
624     return ret;
625 }
626 
ostei_f_h_s_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__f_h_s_f)627 int ostei_f_h_s_f(struct simint_multi_shellpair const P,
628                   struct simint_multi_shellpair const Q,
629                   double screen_tol,
630                   double * const restrict work,
631                   double * const restrict INT__f_h_s_f)
632 {
633     double P_AB[3*P.nshell12];
634     struct simint_multi_shellpair P_tmp = P;
635     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
636     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
637     P_tmp.AB_x = P_AB;
638     P_tmp.AB_y = P_AB + P.nshell12;
639     P_tmp.AB_z = P_AB + 2*P.nshell12;
640 
641     for(int i = 0; i < P.nshell12; i++)
642     {
643         P_tmp.AB_x[i] = -P.AB_x[i];
644         P_tmp.AB_y[i] = -P.AB_y[i];
645         P_tmp.AB_z[i] = -P.AB_z[i];
646     }
647 
648     double Q_AB[3*Q.nshell12];
649     struct simint_multi_shellpair Q_tmp = Q;
650     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
651     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
652     Q_tmp.AB_x = Q_AB;
653     Q_tmp.AB_y = Q_AB + Q.nshell12;
654     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
655 
656     for(int i = 0; i < Q.nshell12; i++)
657     {
658         Q_tmp.AB_x[i] = -Q.AB_x[i];
659         Q_tmp.AB_y[i] = -Q.AB_y[i];
660         Q_tmp.AB_z[i] = -Q.AB_z[i];
661     }
662 
663     int ret = ostei_h_f_f_s(P_tmp, Q_tmp, screen_tol, work, INT__f_h_s_f);
664     double buffer[2100] SIMINT_ALIGN_ARRAY_DBL;
665 
666     for(int q = 0; q < ret; q++)
667     {
668         int idx = 0;
669         for(int a = 0; a < 10; ++a)
670         for(int b = 0; b < 21; ++b)
671         for(int c = 0; c < 1; ++c)
672         for(int d = 0; d < 10; ++d)
673             buffer[idx++] = INT__f_h_s_f[q*2100+b*100+a*10+d*1+c];
674 
675         memcpy(INT__f_h_s_f+q*2100, buffer, 2100*sizeof(double));
676     }
677 
678     return ret;
679 }
680 
681