1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_i_g_f_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_g_f_p)8 int ostei_i_g_f_p(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__i_g_f_p)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_g_f_p);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int iket;
26     int ibra;
27 
28     // partition workspace
29     double * const INT__i_s_f_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__i_s_g_s = work + (SIMINT_NSHELL_SIMD * 280);
31     double * const INT__k_s_f_s = work + (SIMINT_NSHELL_SIMD * 700);
32     double * const INT__k_s_g_s = work + (SIMINT_NSHELL_SIMD * 1060);
33     double * const INT__l_s_f_s = work + (SIMINT_NSHELL_SIMD * 1600);
34     double * const INT__l_s_g_s = work + (SIMINT_NSHELL_SIMD * 2050);
35     double * const INT__m_s_f_s = work + (SIMINT_NSHELL_SIMD * 2725);
36     double * const INT__m_s_g_s = work + (SIMINT_NSHELL_SIMD * 3275);
37     double * const INT__n_s_f_s = work + (SIMINT_NSHELL_SIMD * 4100);
38     double * const INT__n_s_g_s = work + (SIMINT_NSHELL_SIMD * 4760);
39     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*5750);
40     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 15;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 57;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 135;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 255;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 375;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 540;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 720;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 990;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 1200;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 1452;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 1830;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 2250;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 2502;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 2838;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 3342;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 3902;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 4322;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 4610;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 5042;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 5690;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 6410;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 6950;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 7265;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 7805;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 8615;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 9515;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 10190;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 10520;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 11180;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 12170;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_g_s = primwork + 13270;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 14095;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 14425;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 15217;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 16405;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_g_s = primwork + 17725;
77     double * const hrrwork = (double *)(primwork + 18715);
78     double * const HRR_INT__i_p_f_s = hrrwork + 0;
79     double * const HRR_INT__i_p_g_s = hrrwork + 840;
80     double * const HRR_INT__i_d_f_s = hrrwork + 2100;
81     double * const HRR_INT__i_d_g_s = hrrwork + 3780;
82     double * const HRR_INT__i_f_f_s = hrrwork + 6300;
83     double * const HRR_INT__i_f_g_s = hrrwork + 9100;
84     double * const HRR_INT__i_g_f_s = hrrwork + 13300;
85     double * const HRR_INT__i_g_g_s = hrrwork + 17500;
86     double * const HRR_INT__k_p_f_s = hrrwork + 23800;
87     double * const HRR_INT__k_p_g_s = hrrwork + 24880;
88     double * const HRR_INT__k_d_f_s = hrrwork + 26500;
89     double * const HRR_INT__k_d_g_s = hrrwork + 28660;
90     double * const HRR_INT__k_f_f_s = hrrwork + 31900;
91     double * const HRR_INT__k_f_g_s = hrrwork + 35500;
92     double * const HRR_INT__l_p_f_s = hrrwork + 40900;
93     double * const HRR_INT__l_p_g_s = hrrwork + 42250;
94     double * const HRR_INT__l_d_f_s = hrrwork + 44275;
95     double * const HRR_INT__l_d_g_s = hrrwork + 46975;
96     double * const HRR_INT__m_p_f_s = hrrwork + 51025;
97     double * const HRR_INT__m_p_g_s = hrrwork + 52675;
98 
99 
100     // Create constants
101     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
102     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
103     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
104     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
105     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
106     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
107     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
108     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
109     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
110     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
111     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
112 
113 
114     ////////////////////////////////////////
115     // Loop over shells and primitives
116     ////////////////////////////////////////
117 
118     real_abcd = 0;
119     istart = 0;
120     for(ab = 0; ab < P.nshell12_clip; ++ab)
121     {
122         const int iend = istart + P.nprim12[ab];
123 
124         cd = 0;
125         jstart = 0;
126 
127         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
128         {
129             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
130             int jend = jstart;
131             for(i = 0; i < nshellbatch; i++)
132                 jend += Q.nprim12[cd+i];
133 
134             // Clear the beginning of the workspace (where we are accumulating integrals)
135             memset(work, 0, SIMINT_NSHELL_SIMD * 5750 * sizeof(double));
136             abcd = 0;
137 
138 
139             for(i = istart; i < iend; ++i)
140             {
141                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
142 
143                 if(check_screen)
144                 {
145                     // Skip this whole thing if always insignificant
146                     if((P.screen[i] * Q.screen_max) < screen_tol)
147                         continue;
148                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
149                 }
150 
151                 icd = 0;
152                 iprimcd = 0;
153                 nprim_icd = Q.nprim12[cd];
154                 double * restrict PRIM_PTR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
155                 double * restrict PRIM_PTR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
156                 double * restrict PRIM_PTR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
157                 double * restrict PRIM_PTR_INT__k_s_g_s = INT__k_s_g_s + abcd * 540;
158                 double * restrict PRIM_PTR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
159                 double * restrict PRIM_PTR_INT__l_s_g_s = INT__l_s_g_s + abcd * 675;
160                 double * restrict PRIM_PTR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
161                 double * restrict PRIM_PTR_INT__m_s_g_s = INT__m_s_g_s + abcd * 825;
162                 double * restrict PRIM_PTR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
163                 double * restrict PRIM_PTR_INT__n_s_g_s = INT__n_s_g_s + abcd * 990;
164 
165 
166 
167                 // Load these one per loop over i
168                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
169                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
170                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
171 
172                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
173 
174                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
175                 {
176                     // calculate the shell offsets
177                     // these are the offset from the shell pointed to by cd
178                     // for each element
179                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
180                     int lastoffset = 0;
181                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
182 
183                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
184                     {
185                         // Handle if the first element of the vector is a new shell
186                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
187                         {
188                             nprim_icd += Q.nprim12[cd + (++icd)];
189                             PRIM_PTR_INT__i_s_f_s += 280;
190                             PRIM_PTR_INT__i_s_g_s += 420;
191                             PRIM_PTR_INT__k_s_f_s += 360;
192                             PRIM_PTR_INT__k_s_g_s += 540;
193                             PRIM_PTR_INT__l_s_f_s += 450;
194                             PRIM_PTR_INT__l_s_g_s += 675;
195                             PRIM_PTR_INT__m_s_f_s += 550;
196                             PRIM_PTR_INT__m_s_g_s += 825;
197                             PRIM_PTR_INT__n_s_f_s += 660;
198                             PRIM_PTR_INT__n_s_g_s += 990;
199                         }
200                         iprimcd++;
201                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
202                         {
203                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
204                             {
205                                 shelloffsets[n] = shelloffsets[n-1] + 1;
206                                 lastoffset++;
207                                 nprim_icd += Q.nprim12[cd + (++icd)];
208                             }
209                             else
210                                 shelloffsets[n] = shelloffsets[n-1];
211                             iprimcd++;
212                         }
213                     }
214                     else
215                         iprimcd += SIMINT_SIMD_LEN;
216 
217                     // Do we have to compute this vector (or has it been screened out)?
218                     // (not_screened != 0 means we have to do this vector)
219                     if(check_screen)
220                     {
221                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
222                         if(vmax < screen_tol)
223                         {
224                             PRIM_PTR_INT__i_s_f_s += lastoffset*280;
225                             PRIM_PTR_INT__i_s_g_s += lastoffset*420;
226                             PRIM_PTR_INT__k_s_f_s += lastoffset*360;
227                             PRIM_PTR_INT__k_s_g_s += lastoffset*540;
228                             PRIM_PTR_INT__l_s_f_s += lastoffset*450;
229                             PRIM_PTR_INT__l_s_g_s += lastoffset*675;
230                             PRIM_PTR_INT__m_s_f_s += lastoffset*550;
231                             PRIM_PTR_INT__m_s_g_s += lastoffset*825;
232                             PRIM_PTR_INT__n_s_f_s += lastoffset*660;
233                             PRIM_PTR_INT__n_s_g_s += lastoffset*990;
234                             continue;
235                         }
236                     }
237 
238                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
239                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
240                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
241                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
242 
243 
244                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
245                     SIMINT_DBLTYPE PQ[3];
246                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
247                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
248                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
249                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
250                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
251                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
252 
253                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
254                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
255                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
256                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
257                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
258                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
259                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
260 
261                     // NOTE: Minus sign!
262                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
263                     SIMINT_DBLTYPE aop_PQ[3];
264                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
265                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
266                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
267 
268                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
269                     SIMINT_DBLTYPE aoq_PQ[3];
270                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
271                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
272                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
273                     // Put a minus sign here so we don't have to in RR routines
274                     a_over_q = SIMINT_NEG(a_over_q);
275 
276 
277                     //////////////////////////////////////////////
278                     // Fjt function section
279                     // Maximum v value: 14
280                     //////////////////////////////////////////////
281                     // The parameter to the Fjt function
282                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
283 
284 
285                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
286 
287 
288                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 14);
289                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
290                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
291                     for(n = 0; n <= 14; n++)
292                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
293 
294                     //////////////////////////////////////////////
295                     // Primitive integrals: Vertical recurrance
296                     //////////////////////////////////////////////
297 
298                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
299                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
300                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
301                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
302                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
303                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
304                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
305                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
306                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
307                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
308                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
309                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
310                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
311                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
312                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
313                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
314                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
315                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
316                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
317                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
318                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
319                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
320 
321 
322 
323                     // Forming PRIM_INT__p_s_s_s[14 * 3];
324                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
325                     {
326 
327                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
328                         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]);
329 
330                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
331                         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]);
332 
333                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
334                         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]);
335 
336                     }
337 
338 
339 
340                     // Forming PRIM_INT__d_s_s_s[13 * 6];
341                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
342                     {
343 
344                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
345                         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]);
346                         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]);
347 
348                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
349                         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]);
350 
351                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
352                         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]);
353 
354                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
355                         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]);
356                         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]);
357 
358                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
359                         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]);
360 
361                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
362                         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]);
363                         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]);
364 
365                     }
366 
367 
368 
369                     // Forming PRIM_INT__f_s_s_s[12 * 10];
370                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
371                     {
372 
373                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
374                         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]);
375                         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]);
376 
377                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
378                         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]);
379 
380                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
381                         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]);
382 
383                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
384                         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]);
385 
386                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
387                         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]);
388 
389                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
390                         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]);
391 
392                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
393                         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]);
394                         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]);
395 
396                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
397                         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]);
398 
399                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
400                         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]);
401 
402                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
403                         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]);
404                         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]);
405 
406                     }
407 
408 
409                     VRR_I_g_s_s_s(
410                             PRIM_INT__g_s_s_s,
411                             PRIM_INT__f_s_s_s,
412                             PRIM_INT__d_s_s_s,
413                             P_PA,
414                             a_over_p,
415                             aop_PQ,
416                             one_over_2p,
417                             11);
418 
419 
420                     VRR_I_h_s_s_s(
421                             PRIM_INT__h_s_s_s,
422                             PRIM_INT__g_s_s_s,
423                             PRIM_INT__f_s_s_s,
424                             P_PA,
425                             a_over_p,
426                             aop_PQ,
427                             one_over_2p,
428                             10);
429 
430 
431                     ostei_general_vrr1_I(6, 9,
432                             one_over_2p, a_over_p, aop_PQ, P_PA,
433                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
434 
435 
436                     ostei_general_vrr_K(6, 0, 1, 0, 4,
437                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
438                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
439 
440 
441                     ostei_general_vrr_K(5, 0, 1, 0, 4,
442                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
443                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
444 
445 
446                     ostei_general_vrr_K(6, 0, 2, 0, 3,
447                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
448                             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);
449 
450 
451                     VRR_K_g_s_p_s(
452                             PRIM_INT__g_s_p_s,
453                             PRIM_INT__g_s_s_s,
454                             PRIM_INT__f_s_s_s,
455                             Q_PA,
456                             aoq_PQ,
457                             one_over_2pq,
458                             4);
459 
460 
461                     ostei_general_vrr_K(5, 0, 2, 0, 3,
462                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
463                             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);
464 
465 
466                     ostei_general_vrr_K(6, 0, 3, 0, 2,
467                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
468                             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);
469 
470 
471                     VRR_K_f_s_p_s(
472                             PRIM_INT__f_s_p_s,
473                             PRIM_INT__f_s_s_s,
474                             PRIM_INT__d_s_s_s,
475                             Q_PA,
476                             aoq_PQ,
477                             one_over_2pq,
478                             4);
479 
480 
481                     ostei_general_vrr_K(4, 0, 2, 0, 3,
482                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
483                             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);
484 
485 
486                     ostei_general_vrr_K(5, 0, 3, 0, 2,
487                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
488                             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);
489 
490 
491                     ostei_general_vrr_K(6, 0, 4, 0, 1,
492                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
493                             PRIM_INT__i_s_f_s, PRIM_INT__i_s_d_s, NULL, PRIM_INT__h_s_f_s, NULL, PRIM_INT__i_s_g_s);
494 
495 
496                     ostei_general_vrr1_I(7, 8,
497                             one_over_2p, a_over_p, aop_PQ, P_PA,
498                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
499 
500 
501                     ostei_general_vrr_K(7, 0, 1, 0, 4,
502                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
503                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
504 
505 
506                     ostei_general_vrr_K(7, 0, 2, 0, 3,
507                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
508                             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);
509 
510 
511                     ostei_general_vrr_K(7, 0, 3, 0, 2,
512                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
513                             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);
514 
515 
516                     ostei_general_vrr_K(7, 0, 4, 0, 1,
517                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
518                             PRIM_INT__k_s_f_s, PRIM_INT__k_s_d_s, NULL, PRIM_INT__i_s_f_s, NULL, PRIM_INT__k_s_g_s);
519 
520 
521                     ostei_general_vrr1_I(8, 7,
522                             one_over_2p, a_over_p, aop_PQ, P_PA,
523                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
524 
525 
526                     ostei_general_vrr_K(8, 0, 1, 0, 4,
527                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
528                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
529 
530 
531                     ostei_general_vrr_K(8, 0, 2, 0, 3,
532                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
533                             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);
534 
535 
536                     ostei_general_vrr_K(8, 0, 3, 0, 2,
537                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
538                             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);
539 
540 
541                     ostei_general_vrr_K(8, 0, 4, 0, 1,
542                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
543                             PRIM_INT__l_s_f_s, PRIM_INT__l_s_d_s, NULL, PRIM_INT__k_s_f_s, NULL, PRIM_INT__l_s_g_s);
544 
545 
546                     ostei_general_vrr1_I(9, 6,
547                             one_over_2p, a_over_p, aop_PQ, P_PA,
548                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
549 
550 
551                     ostei_general_vrr_K(9, 0, 1, 0, 4,
552                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
553                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
554 
555 
556                     ostei_general_vrr_K(9, 0, 2, 0, 3,
557                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
558                             PRIM_INT__m_s_p_s, PRIM_INT__m_s_s_s, NULL, PRIM_INT__l_s_p_s, NULL, PRIM_INT__m_s_d_s);
559 
560 
561                     ostei_general_vrr_K(9, 0, 3, 0, 2,
562                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
563                             PRIM_INT__m_s_d_s, PRIM_INT__m_s_p_s, NULL, PRIM_INT__l_s_d_s, NULL, PRIM_INT__m_s_f_s);
564 
565 
566                     ostei_general_vrr_K(9, 0, 4, 0, 1,
567                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
568                             PRIM_INT__m_s_f_s, PRIM_INT__m_s_d_s, NULL, PRIM_INT__l_s_f_s, NULL, PRIM_INT__m_s_g_s);
569 
570 
571                     ostei_general_vrr1_I(10, 5,
572                             one_over_2p, a_over_p, aop_PQ, P_PA,
573                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
574 
575 
576                     ostei_general_vrr_K(10, 0, 1, 0, 4,
577                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
578                             PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
579 
580 
581                     ostei_general_vrr_K(10, 0, 2, 0, 3,
582                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
583                             PRIM_INT__n_s_p_s, PRIM_INT__n_s_s_s, NULL, PRIM_INT__m_s_p_s, NULL, PRIM_INT__n_s_d_s);
584 
585 
586                     ostei_general_vrr_K(10, 0, 3, 0, 2,
587                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
588                             PRIM_INT__n_s_d_s, PRIM_INT__n_s_p_s, NULL, PRIM_INT__m_s_d_s, NULL, PRIM_INT__n_s_f_s);
589 
590 
591                     ostei_general_vrr_K(10, 0, 4, 0, 1,
592                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
593                             PRIM_INT__n_s_f_s, PRIM_INT__n_s_d_s, NULL, PRIM_INT__m_s_f_s, NULL, PRIM_INT__n_s_g_s);
594 
595 
596 
597 
598                     ////////////////////////////////////
599                     // Accumulate contracted integrals
600                     ////////////////////////////////////
601                     if(lastoffset == 0)
602                     {
603                         contract_all(280, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
604                         contract_all(420, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
605                         contract_all(360, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
606                         contract_all(540, PRIM_INT__k_s_g_s, PRIM_PTR_INT__k_s_g_s);
607                         contract_all(450, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
608                         contract_all(675, PRIM_INT__l_s_g_s, PRIM_PTR_INT__l_s_g_s);
609                         contract_all(550, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
610                         contract_all(825, PRIM_INT__m_s_g_s, PRIM_PTR_INT__m_s_g_s);
611                         contract_all(660, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
612                         contract_all(990, PRIM_INT__n_s_g_s, PRIM_PTR_INT__n_s_g_s);
613                     }
614                     else
615                     {
616                         contract(280, shelloffsets, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
617                         contract(420, shelloffsets, PRIM_INT__i_s_g_s, PRIM_PTR_INT__i_s_g_s);
618                         contract(360, shelloffsets, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
619                         contract(540, shelloffsets, PRIM_INT__k_s_g_s, PRIM_PTR_INT__k_s_g_s);
620                         contract(450, shelloffsets, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
621                         contract(675, shelloffsets, PRIM_INT__l_s_g_s, PRIM_PTR_INT__l_s_g_s);
622                         contract(550, shelloffsets, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
623                         contract(825, shelloffsets, PRIM_INT__m_s_g_s, PRIM_PTR_INT__m_s_g_s);
624                         contract(660, shelloffsets, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
625                         contract(990, shelloffsets, PRIM_INT__n_s_g_s, PRIM_PTR_INT__n_s_g_s);
626                         PRIM_PTR_INT__i_s_f_s += lastoffset*280;
627                         PRIM_PTR_INT__i_s_g_s += lastoffset*420;
628                         PRIM_PTR_INT__k_s_f_s += lastoffset*360;
629                         PRIM_PTR_INT__k_s_g_s += lastoffset*540;
630                         PRIM_PTR_INT__l_s_f_s += lastoffset*450;
631                         PRIM_PTR_INT__l_s_g_s += lastoffset*675;
632                         PRIM_PTR_INT__m_s_f_s += lastoffset*550;
633                         PRIM_PTR_INT__m_s_g_s += lastoffset*825;
634                         PRIM_PTR_INT__n_s_f_s += lastoffset*660;
635                         PRIM_PTR_INT__n_s_g_s += lastoffset*990;
636                     }
637 
638                 }  // close loop over j
639             }  // close loop over i
640 
641             //Advance to the next batch
642             jstart = SIMINT_SIMD_ROUND(jend);
643 
644             //////////////////////////////////////////////
645             // Contracted integrals: Horizontal recurrance
646             //////////////////////////////////////////////
647 
648 
649             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
650 
651 
652             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
653             {
654                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
655 
656                 // set up HRR pointers
657                 double const * restrict HRR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
658                 double const * restrict HRR_INT__i_s_g_s = INT__i_s_g_s + abcd * 420;
659                 double const * restrict HRR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
660                 double const * restrict HRR_INT__k_s_g_s = INT__k_s_g_s + abcd * 540;
661                 double const * restrict HRR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
662                 double const * restrict HRR_INT__l_s_g_s = INT__l_s_g_s + abcd * 675;
663                 double const * restrict HRR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
664                 double const * restrict HRR_INT__m_s_g_s = INT__m_s_g_s + abcd * 825;
665                 double const * restrict HRR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
666                 double const * restrict HRR_INT__n_s_g_s = INT__n_s_g_s + abcd * 990;
667                 double * restrict HRR_INT__i_g_f_p = INT__i_g_f_p + real_abcd * 12600;
668 
669                 // form INT__i_p_f_s
670                 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);
671 
672                 // form INT__i_p_g_s
673                 ostei_general_hrr_J(6, 1, 4, 0, hAB, HRR_INT__k_s_g_s, HRR_INT__i_s_g_s, HRR_INT__i_p_g_s);
674 
675                 // form INT__k_p_f_s
676                 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);
677 
678                 // form INT__k_p_g_s
679                 ostei_general_hrr_J(7, 1, 4, 0, hAB, HRR_INT__l_s_g_s, HRR_INT__k_s_g_s, HRR_INT__k_p_g_s);
680 
681                 // form INT__l_p_f_s
682                 ostei_general_hrr_J(8, 1, 3, 0, hAB, HRR_INT__m_s_f_s, HRR_INT__l_s_f_s, HRR_INT__l_p_f_s);
683 
684                 // form INT__l_p_g_s
685                 ostei_general_hrr_J(8, 1, 4, 0, hAB, HRR_INT__m_s_g_s, HRR_INT__l_s_g_s, HRR_INT__l_p_g_s);
686 
687                 // form INT__m_p_f_s
688                 ostei_general_hrr_J(9, 1, 3, 0, hAB, HRR_INT__n_s_f_s, HRR_INT__m_s_f_s, HRR_INT__m_p_f_s);
689 
690                 // form INT__m_p_g_s
691                 ostei_general_hrr_J(9, 1, 4, 0, hAB, HRR_INT__n_s_g_s, HRR_INT__m_s_g_s, HRR_INT__m_p_g_s);
692 
693                 // form INT__i_d_f_s
694                 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);
695 
696                 // form INT__i_d_g_s
697                 ostei_general_hrr_J(6, 2, 4, 0, hAB, HRR_INT__k_p_g_s, HRR_INT__i_p_g_s, HRR_INT__i_d_g_s);
698 
699                 // form INT__k_d_f_s
700                 ostei_general_hrr_J(7, 2, 3, 0, hAB, HRR_INT__l_p_f_s, HRR_INT__k_p_f_s, HRR_INT__k_d_f_s);
701 
702                 // form INT__k_d_g_s
703                 ostei_general_hrr_J(7, 2, 4, 0, hAB, HRR_INT__l_p_g_s, HRR_INT__k_p_g_s, HRR_INT__k_d_g_s);
704 
705                 // form INT__l_d_f_s
706                 ostei_general_hrr_J(8, 2, 3, 0, hAB, HRR_INT__m_p_f_s, HRR_INT__l_p_f_s, HRR_INT__l_d_f_s);
707 
708                 // form INT__l_d_g_s
709                 ostei_general_hrr_J(8, 2, 4, 0, hAB, HRR_INT__m_p_g_s, HRR_INT__l_p_g_s, HRR_INT__l_d_g_s);
710 
711                 // form INT__i_f_f_s
712                 ostei_general_hrr_J(6, 3, 3, 0, hAB, HRR_INT__k_d_f_s, HRR_INT__i_d_f_s, HRR_INT__i_f_f_s);
713 
714                 // form INT__i_f_g_s
715                 ostei_general_hrr_J(6, 3, 4, 0, hAB, HRR_INT__k_d_g_s, HRR_INT__i_d_g_s, HRR_INT__i_f_g_s);
716 
717                 // form INT__k_f_f_s
718                 ostei_general_hrr_J(7, 3, 3, 0, hAB, HRR_INT__l_d_f_s, HRR_INT__k_d_f_s, HRR_INT__k_f_f_s);
719 
720                 // form INT__k_f_g_s
721                 ostei_general_hrr_J(7, 3, 4, 0, hAB, HRR_INT__l_d_g_s, HRR_INT__k_d_g_s, HRR_INT__k_f_g_s);
722 
723                 // form INT__i_g_f_s
724                 ostei_general_hrr_J(6, 4, 3, 0, hAB, HRR_INT__k_f_f_s, HRR_INT__i_f_f_s, HRR_INT__i_g_f_s);
725 
726                 // form INT__i_g_g_s
727                 ostei_general_hrr_J(6, 4, 4, 0, hAB, HRR_INT__k_f_g_s, HRR_INT__i_f_g_s, HRR_INT__i_g_g_s);
728 
729                 // form INT__i_g_f_p
730                 HRR_L_f_p(
731                     HRR_INT__i_g_f_p,
732                     HRR_INT__i_g_f_s,
733                     HRR_INT__i_g_g_s,
734                     hCD, 420);
735 
736 
737             }  // close HRR loop
738 
739 
740         }   // close loop cdbatch
741 
742         istart = iend;
743     }  // close loop over ab
744 
745     return P.nshell12_clip * Q.nshell12_clip;
746 }
747 
ostei_g_i_f_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_i_f_p)748 int ostei_g_i_f_p(struct simint_multi_shellpair const P,
749                   struct simint_multi_shellpair const Q,
750                   double screen_tol,
751                   double * const restrict work,
752                   double * const restrict INT__g_i_f_p)
753 {
754     double P_AB[3*P.nshell12];
755     struct simint_multi_shellpair P_tmp = P;
756     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
757     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
758     P_tmp.AB_x = P_AB;
759     P_tmp.AB_y = P_AB + P.nshell12;
760     P_tmp.AB_z = P_AB + 2*P.nshell12;
761 
762     for(int i = 0; i < P.nshell12; i++)
763     {
764         P_tmp.AB_x[i] = -P.AB_x[i];
765         P_tmp.AB_y[i] = -P.AB_y[i];
766         P_tmp.AB_z[i] = -P.AB_z[i];
767     }
768 
769     int ret = ostei_i_g_f_p(P_tmp, Q, screen_tol, work, INT__g_i_f_p);
770     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
771 
772     for(int q = 0; q < ret; q++)
773     {
774         int idx = 0;
775         for(int a = 0; a < 15; ++a)
776         for(int b = 0; b < 28; ++b)
777         for(int c = 0; c < 10; ++c)
778         for(int d = 0; d < 3; ++d)
779             buffer[idx++] = INT__g_i_f_p[q*12600+b*450+a*30+c*3+d];
780 
781         memcpy(INT__g_i_f_p+q*12600, buffer, 12600*sizeof(double));
782     }
783 
784     return ret;
785 }
786 
ostei_i_g_p_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_g_p_f)787 int ostei_i_g_p_f(struct simint_multi_shellpair const P,
788                   struct simint_multi_shellpair const Q,
789                   double screen_tol,
790                   double * const restrict work,
791                   double * const restrict INT__i_g_p_f)
792 {
793     double Q_AB[3*Q.nshell12];
794     struct simint_multi_shellpair Q_tmp = Q;
795     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
796     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
797     Q_tmp.AB_x = Q_AB;
798     Q_tmp.AB_y = Q_AB + Q.nshell12;
799     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
800 
801     for(int i = 0; i < Q.nshell12; i++)
802     {
803         Q_tmp.AB_x[i] = -Q.AB_x[i];
804         Q_tmp.AB_y[i] = -Q.AB_y[i];
805         Q_tmp.AB_z[i] = -Q.AB_z[i];
806     }
807 
808     int ret = ostei_i_g_f_p(P, Q_tmp, screen_tol, work, INT__i_g_p_f);
809     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
810 
811     for(int q = 0; q < ret; q++)
812     {
813         int idx = 0;
814         for(int a = 0; a < 28; ++a)
815         for(int b = 0; b < 15; ++b)
816         for(int c = 0; c < 3; ++c)
817         for(int d = 0; d < 10; ++d)
818             buffer[idx++] = INT__i_g_p_f[q*12600+a*450+b*30+d*3+c];
819 
820         memcpy(INT__i_g_p_f+q*12600, buffer, 12600*sizeof(double));
821     }
822 
823     return ret;
824 }
825 
ostei_g_i_p_f(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_i_p_f)826 int ostei_g_i_p_f(struct simint_multi_shellpair const P,
827                   struct simint_multi_shellpair const Q,
828                   double screen_tol,
829                   double * const restrict work,
830                   double * const restrict INT__g_i_p_f)
831 {
832     double P_AB[3*P.nshell12];
833     struct simint_multi_shellpair P_tmp = P;
834     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
835     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
836     P_tmp.AB_x = P_AB;
837     P_tmp.AB_y = P_AB + P.nshell12;
838     P_tmp.AB_z = P_AB + 2*P.nshell12;
839 
840     for(int i = 0; i < P.nshell12; i++)
841     {
842         P_tmp.AB_x[i] = -P.AB_x[i];
843         P_tmp.AB_y[i] = -P.AB_y[i];
844         P_tmp.AB_z[i] = -P.AB_z[i];
845     }
846 
847     double Q_AB[3*Q.nshell12];
848     struct simint_multi_shellpair Q_tmp = Q;
849     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
850     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
851     Q_tmp.AB_x = Q_AB;
852     Q_tmp.AB_y = Q_AB + Q.nshell12;
853     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
854 
855     for(int i = 0; i < Q.nshell12; i++)
856     {
857         Q_tmp.AB_x[i] = -Q.AB_x[i];
858         Q_tmp.AB_y[i] = -Q.AB_y[i];
859         Q_tmp.AB_z[i] = -Q.AB_z[i];
860     }
861 
862     int ret = ostei_i_g_f_p(P_tmp, Q_tmp, screen_tol, work, INT__g_i_p_f);
863     double buffer[12600] SIMINT_ALIGN_ARRAY_DBL;
864 
865     for(int q = 0; q < ret; q++)
866     {
867         int idx = 0;
868         for(int a = 0; a < 15; ++a)
869         for(int b = 0; b < 28; ++b)
870         for(int c = 0; c < 3; ++c)
871         for(int d = 0; d < 10; ++d)
872             buffer[idx++] = INT__g_i_p_f[q*12600+b*450+a*30+d*3+c];
873 
874         memcpy(INT__g_i_p_f+q*12600, buffer, 12600*sizeof(double));
875     }
876 
877     return ret;
878 }
879 
880