1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_k_g_d_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_g_d_p)8 int ostei_k_g_d_p(struct simint_multi_shellpair const P,
9                   struct simint_multi_shellpair const Q,
10                   double screen_tol,
11                   double * const restrict work,
12                   double * const restrict INT__k_g_d_p)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__k_g_d_p);
17     int ab, cd, abcd;
18     int istart, jstart;
19     int iprimcd, nprim_icd, icd;
20     const int check_screen = (screen_tol > 0.0);
21     int i, j;
22     int n;
23     int not_screened;
24     int real_abcd;
25     int iket;
26     int ibra;
27 
28     // partition workspace
29     double * const INT__k_s_d_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__k_s_f_s = work + (SIMINT_NSHELL_SIMD * 216);
31     double * const INT__l_s_d_s = work + (SIMINT_NSHELL_SIMD * 576);
32     double * const INT__l_s_f_s = work + (SIMINT_NSHELL_SIMD * 846);
33     double * const INT__m_s_d_s = work + (SIMINT_NSHELL_SIMD * 1296);
34     double * const INT__m_s_f_s = work + (SIMINT_NSHELL_SIMD * 1626);
35     double * const INT__n_s_d_s = work + (SIMINT_NSHELL_SIMD * 2176);
36     double * const INT__n_s_f_s = work + (SIMINT_NSHELL_SIMD * 2572);
37     double * const INT__o_s_d_s = work + (SIMINT_NSHELL_SIMD * 3232);
38     double * const INT__o_s_f_s = work + (SIMINT_NSHELL_SIMD * 3700);
39     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*4480);
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__g_s_s_s = primwork + 255;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 420;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 630;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 819;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 1071;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 1323;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 1659;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 1947;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 2271;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 2703;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 3063;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 3378;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 3783;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 4323;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 4773;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 5103;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 5598;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 6258;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 6808;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 7138;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 7732;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 8524;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_s_s = primwork + 9184;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_p_s = primwork + 9496;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_d_s = primwork + 10198;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_f_s = primwork + 11134;
70     double * const hrrwork = (double *)(primwork + 11914);
71     double * const HRR_INT__k_p_d_s = hrrwork + 0;
72     double * const HRR_INT__k_p_f_s = hrrwork + 648;
73     double * const HRR_INT__k_d_d_s = hrrwork + 1728;
74     double * const HRR_INT__k_d_f_s = hrrwork + 3024;
75     double * const HRR_INT__k_f_d_s = hrrwork + 5184;
76     double * const HRR_INT__k_f_f_s = hrrwork + 7344;
77     double * const HRR_INT__k_g_d_s = hrrwork + 10944;
78     double * const HRR_INT__k_g_f_s = hrrwork + 14184;
79     double * const HRR_INT__l_p_d_s = hrrwork + 19584;
80     double * const HRR_INT__l_p_f_s = hrrwork + 20394;
81     double * const HRR_INT__l_d_d_s = hrrwork + 21744;
82     double * const HRR_INT__l_d_f_s = hrrwork + 23364;
83     double * const HRR_INT__l_f_d_s = hrrwork + 26064;
84     double * const HRR_INT__l_f_f_s = hrrwork + 28764;
85     double * const HRR_INT__m_p_d_s = hrrwork + 33264;
86     double * const HRR_INT__m_p_f_s = hrrwork + 34254;
87     double * const HRR_INT__m_d_d_s = hrrwork + 35904;
88     double * const HRR_INT__m_d_f_s = hrrwork + 37884;
89     double * const HRR_INT__n_p_d_s = hrrwork + 41184;
90     double * const HRR_INT__n_p_f_s = hrrwork + 42372;
91 
92 
93     // Create constants
94     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
95     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
96     const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
97     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
98     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
99     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
100     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
101     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
102     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
103     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
104     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
105     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
106 
107 
108     ////////////////////////////////////////
109     // Loop over shells and primitives
110     ////////////////////////////////////////
111 
112     real_abcd = 0;
113     istart = 0;
114     for(ab = 0; ab < P.nshell12_clip; ++ab)
115     {
116         const int iend = istart + P.nprim12[ab];
117 
118         cd = 0;
119         jstart = 0;
120 
121         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
122         {
123             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
124             int jend = jstart;
125             for(i = 0; i < nshellbatch; i++)
126                 jend += Q.nprim12[cd+i];
127 
128             // Clear the beginning of the workspace (where we are accumulating integrals)
129             memset(work, 0, SIMINT_NSHELL_SIMD * 4480 * sizeof(double));
130             abcd = 0;
131 
132 
133             for(i = istart; i < iend; ++i)
134             {
135                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
136 
137                 if(check_screen)
138                 {
139                     // Skip this whole thing if always insignificant
140                     if((P.screen[i] * Q.screen_max) < screen_tol)
141                         continue;
142                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
143                 }
144 
145                 icd = 0;
146                 iprimcd = 0;
147                 nprim_icd = Q.nprim12[cd];
148                 double * restrict PRIM_PTR_INT__k_s_d_s = INT__k_s_d_s + abcd * 216;
149                 double * restrict PRIM_PTR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
150                 double * restrict PRIM_PTR_INT__l_s_d_s = INT__l_s_d_s + abcd * 270;
151                 double * restrict PRIM_PTR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
152                 double * restrict PRIM_PTR_INT__m_s_d_s = INT__m_s_d_s + abcd * 330;
153                 double * restrict PRIM_PTR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
154                 double * restrict PRIM_PTR_INT__n_s_d_s = INT__n_s_d_s + abcd * 396;
155                 double * restrict PRIM_PTR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
156                 double * restrict PRIM_PTR_INT__o_s_d_s = INT__o_s_d_s + abcd * 468;
157                 double * restrict PRIM_PTR_INT__o_s_f_s = INT__o_s_f_s + abcd * 780;
158 
159 
160 
161                 // Load these one per loop over i
162                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
163                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
164                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
165 
166                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
167 
168                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
169                 {
170                     // calculate the shell offsets
171                     // these are the offset from the shell pointed to by cd
172                     // for each element
173                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
174                     int lastoffset = 0;
175                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
176 
177                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
178                     {
179                         // Handle if the first element of the vector is a new shell
180                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
181                         {
182                             nprim_icd += Q.nprim12[cd + (++icd)];
183                             PRIM_PTR_INT__k_s_d_s += 216;
184                             PRIM_PTR_INT__k_s_f_s += 360;
185                             PRIM_PTR_INT__l_s_d_s += 270;
186                             PRIM_PTR_INT__l_s_f_s += 450;
187                             PRIM_PTR_INT__m_s_d_s += 330;
188                             PRIM_PTR_INT__m_s_f_s += 550;
189                             PRIM_PTR_INT__n_s_d_s += 396;
190                             PRIM_PTR_INT__n_s_f_s += 660;
191                             PRIM_PTR_INT__o_s_d_s += 468;
192                             PRIM_PTR_INT__o_s_f_s += 780;
193                         }
194                         iprimcd++;
195                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
196                         {
197                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
198                             {
199                                 shelloffsets[n] = shelloffsets[n-1] + 1;
200                                 lastoffset++;
201                                 nprim_icd += Q.nprim12[cd + (++icd)];
202                             }
203                             else
204                                 shelloffsets[n] = shelloffsets[n-1];
205                             iprimcd++;
206                         }
207                     }
208                     else
209                         iprimcd += SIMINT_SIMD_LEN;
210 
211                     // Do we have to compute this vector (or has it been screened out)?
212                     // (not_screened != 0 means we have to do this vector)
213                     if(check_screen)
214                     {
215                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
216                         if(vmax < screen_tol)
217                         {
218                             PRIM_PTR_INT__k_s_d_s += lastoffset*216;
219                             PRIM_PTR_INT__k_s_f_s += lastoffset*360;
220                             PRIM_PTR_INT__l_s_d_s += lastoffset*270;
221                             PRIM_PTR_INT__l_s_f_s += lastoffset*450;
222                             PRIM_PTR_INT__m_s_d_s += lastoffset*330;
223                             PRIM_PTR_INT__m_s_f_s += lastoffset*550;
224                             PRIM_PTR_INT__n_s_d_s += lastoffset*396;
225                             PRIM_PTR_INT__n_s_f_s += lastoffset*660;
226                             PRIM_PTR_INT__o_s_d_s += lastoffset*468;
227                             PRIM_PTR_INT__o_s_f_s += lastoffset*780;
228                             continue;
229                         }
230                     }
231 
232                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
233                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
234                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
235                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
236 
237 
238                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
239                     SIMINT_DBLTYPE PQ[3];
240                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
241                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
242                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
243                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
244                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
245                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
246 
247                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
248                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
249                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
250                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
251                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
252                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
253                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
254 
255                     // NOTE: Minus sign!
256                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
257                     SIMINT_DBLTYPE aop_PQ[3];
258                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
259                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
260                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
261 
262                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
263                     SIMINT_DBLTYPE aoq_PQ[3];
264                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
265                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
266                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
267                     // Put a minus sign here so we don't have to in RR routines
268                     a_over_q = SIMINT_NEG(a_over_q);
269 
270 
271                     //////////////////////////////////////////////
272                     // Fjt function section
273                     // Maximum v value: 14
274                     //////////////////////////////////////////////
275                     // The parameter to the Fjt function
276                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
277 
278 
279                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
280 
281 
282                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 14);
283                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
284                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
285                     for(n = 0; n <= 14; n++)
286                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
287 
288                     //////////////////////////////////////////////
289                     // Primitive integrals: Vertical recurrance
290                     //////////////////////////////////////////////
291 
292                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
293                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
294                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
295                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
296                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
297                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
298                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
299                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
300                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
301                     const SIMINT_DBLTYPE vrr_const_10_over_2p = SIMINT_MUL(const_10, one_over_2p);
302                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
303                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
304                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
305                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
306                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
307                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
308                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
309                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
310                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
311                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
312                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
313                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
314                     const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
315 
316 
317 
318                     // Forming PRIM_INT__p_s_s_s[14 * 3];
319                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
320                     {
321 
322                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
323                         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]);
324 
325                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
326                         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]);
327 
328                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
329                         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]);
330 
331                     }
332 
333 
334 
335                     // Forming PRIM_INT__d_s_s_s[13 * 6];
336                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
337                     {
338 
339                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
340                         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]);
341                         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]);
342 
343                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
344                         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]);
345                         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]);
346 
347                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
348                         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]);
349                         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]);
350 
351                     }
352 
353 
354 
355                     // Forming PRIM_INT__f_s_s_s[12 * 10];
356                     for(n = 0; n < 12; ++n)  // loop over orders of auxiliary function
357                     {
358 
359                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
360                         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]);
361                         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]);
362 
363                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
364                         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]);
365 
366                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
367                         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]);
368 
369                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
370                         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]);
371 
372                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
373                         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]);
374 
375                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
376                         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]);
377                         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]);
378 
379                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
380                         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]);
381 
382                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
383                         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]);
384                         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]);
385 
386                     }
387 
388 
389                     VRR_I_g_s_s_s(
390                             PRIM_INT__g_s_s_s,
391                             PRIM_INT__f_s_s_s,
392                             PRIM_INT__d_s_s_s,
393                             P_PA,
394                             a_over_p,
395                             aop_PQ,
396                             one_over_2p,
397                             11);
398 
399 
400                     VRR_I_h_s_s_s(
401                             PRIM_INT__h_s_s_s,
402                             PRIM_INT__g_s_s_s,
403                             PRIM_INT__f_s_s_s,
404                             P_PA,
405                             a_over_p,
406                             aop_PQ,
407                             one_over_2p,
408                             10);
409 
410 
411                     ostei_general_vrr1_I(6, 9,
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_vrr1_I(7, 8,
417                             one_over_2p, a_over_p, aop_PQ, P_PA,
418                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
419 
420 
421                     ostei_general_vrr_K(7, 0, 1, 0, 3,
422                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
423                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
424 
425 
426                     ostei_general_vrr_K(6, 0, 1, 0, 3,
427                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
428                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
429 
430 
431                     ostei_general_vrr_K(7, 0, 2, 0, 2,
432                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
433                             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);
434 
435 
436                     ostei_general_vrr_K(5, 0, 1, 0, 3,
437                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
438                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
439 
440 
441                     ostei_general_vrr_K(6, 0, 2, 0, 2,
442                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
443                             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);
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, 7,
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                     ostei_general_vrr1_I(9, 6,
472                             one_over_2p, a_over_p, aop_PQ, P_PA,
473                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
474 
475 
476                     ostei_general_vrr_K(9, 0, 1, 0, 3,
477                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
478                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
479 
480 
481                     ostei_general_vrr_K(9, 0, 2, 0, 2,
482                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
483                             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);
484 
485 
486                     ostei_general_vrr_K(9, 0, 3, 0, 1,
487                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
488                             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);
489 
490 
491                     ostei_general_vrr1_I(10, 5,
492                             one_over_2p, a_over_p, aop_PQ, P_PA,
493                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
494 
495 
496                     ostei_general_vrr_K(10, 0, 1, 0, 3,
497                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
498                             PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
499 
500 
501                     ostei_general_vrr_K(10, 0, 2, 0, 2,
502                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
503                             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);
504 
505 
506                     ostei_general_vrr_K(10, 0, 3, 0, 1,
507                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
508                             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);
509 
510 
511                     ostei_general_vrr1_I(11, 4,
512                             one_over_2p, a_over_p, aop_PQ, P_PA,
513                             PRIM_INT__n_s_s_s, PRIM_INT__m_s_s_s, PRIM_INT__o_s_s_s);
514 
515 
516                     ostei_general_vrr_K(11, 0, 1, 0, 3,
517                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
518                             PRIM_INT__o_s_s_s, NULL, NULL, PRIM_INT__n_s_s_s, NULL, PRIM_INT__o_s_p_s);
519 
520 
521                     ostei_general_vrr_K(11, 0, 2, 0, 2,
522                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
523                             PRIM_INT__o_s_p_s, PRIM_INT__o_s_s_s, NULL, PRIM_INT__n_s_p_s, NULL, PRIM_INT__o_s_d_s);
524 
525 
526                     ostei_general_vrr_K(11, 0, 3, 0, 1,
527                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
528                             PRIM_INT__o_s_d_s, PRIM_INT__o_s_p_s, NULL, PRIM_INT__n_s_d_s, NULL, PRIM_INT__o_s_f_s);
529 
530 
531 
532 
533                     ////////////////////////////////////
534                     // Accumulate contracted integrals
535                     ////////////////////////////////////
536                     if(lastoffset == 0)
537                     {
538                         contract_all(216, PRIM_INT__k_s_d_s, PRIM_PTR_INT__k_s_d_s);
539                         contract_all(360, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
540                         contract_all(270, PRIM_INT__l_s_d_s, PRIM_PTR_INT__l_s_d_s);
541                         contract_all(450, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
542                         contract_all(330, PRIM_INT__m_s_d_s, PRIM_PTR_INT__m_s_d_s);
543                         contract_all(550, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
544                         contract_all(396, PRIM_INT__n_s_d_s, PRIM_PTR_INT__n_s_d_s);
545                         contract_all(660, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
546                         contract_all(468, PRIM_INT__o_s_d_s, PRIM_PTR_INT__o_s_d_s);
547                         contract_all(780, PRIM_INT__o_s_f_s, PRIM_PTR_INT__o_s_f_s);
548                     }
549                     else
550                     {
551                         contract(216, shelloffsets, PRIM_INT__k_s_d_s, PRIM_PTR_INT__k_s_d_s);
552                         contract(360, shelloffsets, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
553                         contract(270, shelloffsets, PRIM_INT__l_s_d_s, PRIM_PTR_INT__l_s_d_s);
554                         contract(450, shelloffsets, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
555                         contract(330, shelloffsets, PRIM_INT__m_s_d_s, PRIM_PTR_INT__m_s_d_s);
556                         contract(550, shelloffsets, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
557                         contract(396, shelloffsets, PRIM_INT__n_s_d_s, PRIM_PTR_INT__n_s_d_s);
558                         contract(660, shelloffsets, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
559                         contract(468, shelloffsets, PRIM_INT__o_s_d_s, PRIM_PTR_INT__o_s_d_s);
560                         contract(780, shelloffsets, PRIM_INT__o_s_f_s, PRIM_PTR_INT__o_s_f_s);
561                         PRIM_PTR_INT__k_s_d_s += lastoffset*216;
562                         PRIM_PTR_INT__k_s_f_s += lastoffset*360;
563                         PRIM_PTR_INT__l_s_d_s += lastoffset*270;
564                         PRIM_PTR_INT__l_s_f_s += lastoffset*450;
565                         PRIM_PTR_INT__m_s_d_s += lastoffset*330;
566                         PRIM_PTR_INT__m_s_f_s += lastoffset*550;
567                         PRIM_PTR_INT__n_s_d_s += lastoffset*396;
568                         PRIM_PTR_INT__n_s_f_s += lastoffset*660;
569                         PRIM_PTR_INT__o_s_d_s += lastoffset*468;
570                         PRIM_PTR_INT__o_s_f_s += lastoffset*780;
571                     }
572 
573                 }  // close loop over j
574             }  // close loop over i
575 
576             //Advance to the next batch
577             jstart = SIMINT_SIMD_ROUND(jend);
578 
579             //////////////////////////////////////////////
580             // Contracted integrals: Horizontal recurrance
581             //////////////////////////////////////////////
582 
583 
584             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
585 
586 
587             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
588             {
589                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
590 
591                 // set up HRR pointers
592                 double const * restrict HRR_INT__k_s_d_s = INT__k_s_d_s + abcd * 216;
593                 double const * restrict HRR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
594                 double const * restrict HRR_INT__l_s_d_s = INT__l_s_d_s + abcd * 270;
595                 double const * restrict HRR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
596                 double const * restrict HRR_INT__m_s_d_s = INT__m_s_d_s + abcd * 330;
597                 double const * restrict HRR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
598                 double const * restrict HRR_INT__n_s_d_s = INT__n_s_d_s + abcd * 396;
599                 double const * restrict HRR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
600                 double const * restrict HRR_INT__o_s_d_s = INT__o_s_d_s + abcd * 468;
601                 double const * restrict HRR_INT__o_s_f_s = INT__o_s_f_s + abcd * 780;
602                 double * restrict HRR_INT__k_g_d_p = INT__k_g_d_p + real_abcd * 9720;
603 
604                 // form INT__k_p_d_s
605                 ostei_general_hrr_J(7, 1, 2, 0, hAB, HRR_INT__l_s_d_s, HRR_INT__k_s_d_s, HRR_INT__k_p_d_s);
606 
607                 // form INT__k_p_f_s
608                 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);
609 
610                 // form INT__l_p_d_s
611                 ostei_general_hrr_J(8, 1, 2, 0, hAB, HRR_INT__m_s_d_s, HRR_INT__l_s_d_s, HRR_INT__l_p_d_s);
612 
613                 // form INT__l_p_f_s
614                 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);
615 
616                 // form INT__m_p_d_s
617                 ostei_general_hrr_J(9, 1, 2, 0, hAB, HRR_INT__n_s_d_s, HRR_INT__m_s_d_s, HRR_INT__m_p_d_s);
618 
619                 // form INT__m_p_f_s
620                 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);
621 
622                 // form INT__n_p_d_s
623                 ostei_general_hrr_J(10, 1, 2, 0, hAB, HRR_INT__o_s_d_s, HRR_INT__n_s_d_s, HRR_INT__n_p_d_s);
624 
625                 // form INT__n_p_f_s
626                 ostei_general_hrr_J(10, 1, 3, 0, hAB, HRR_INT__o_s_f_s, HRR_INT__n_s_f_s, HRR_INT__n_p_f_s);
627 
628                 // form INT__k_d_d_s
629                 ostei_general_hrr_J(7, 2, 2, 0, hAB, HRR_INT__l_p_d_s, HRR_INT__k_p_d_s, HRR_INT__k_d_d_s);
630 
631                 // form INT__k_d_f_s
632                 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);
633 
634                 // form INT__l_d_d_s
635                 ostei_general_hrr_J(8, 2, 2, 0, hAB, HRR_INT__m_p_d_s, HRR_INT__l_p_d_s, HRR_INT__l_d_d_s);
636 
637                 // form INT__l_d_f_s
638                 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);
639 
640                 // form INT__m_d_d_s
641                 ostei_general_hrr_J(9, 2, 2, 0, hAB, HRR_INT__n_p_d_s, HRR_INT__m_p_d_s, HRR_INT__m_d_d_s);
642 
643                 // form INT__m_d_f_s
644                 ostei_general_hrr_J(9, 2, 3, 0, hAB, HRR_INT__n_p_f_s, HRR_INT__m_p_f_s, HRR_INT__m_d_f_s);
645 
646                 // form INT__k_f_d_s
647                 ostei_general_hrr_J(7, 3, 2, 0, hAB, HRR_INT__l_d_d_s, HRR_INT__k_d_d_s, HRR_INT__k_f_d_s);
648 
649                 // form INT__k_f_f_s
650                 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);
651 
652                 // form INT__l_f_d_s
653                 ostei_general_hrr_J(8, 3, 2, 0, hAB, HRR_INT__m_d_d_s, HRR_INT__l_d_d_s, HRR_INT__l_f_d_s);
654 
655                 // form INT__l_f_f_s
656                 ostei_general_hrr_J(8, 3, 3, 0, hAB, HRR_INT__m_d_f_s, HRR_INT__l_d_f_s, HRR_INT__l_f_f_s);
657 
658                 // form INT__k_g_d_s
659                 ostei_general_hrr_J(7, 4, 2, 0, hAB, HRR_INT__l_f_d_s, HRR_INT__k_f_d_s, HRR_INT__k_g_d_s);
660 
661                 // form INT__k_g_f_s
662                 ostei_general_hrr_J(7, 4, 3, 0, hAB, HRR_INT__l_f_f_s, HRR_INT__k_f_f_s, HRR_INT__k_g_f_s);
663 
664                 // form INT__k_g_d_p
665                 for(ibra = 0; ibra < 540; ++ibra)
666                 {
667                     HRR_INT__k_g_d_p[ibra * 18 + 0] = HRR_INT__k_g_f_s[ibra * 10 + 0] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 0] );
668 
669                     HRR_INT__k_g_d_p[ibra * 18 + 1] = HRR_INT__k_g_f_s[ibra * 10 + 1] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 0] );
670 
671                     HRR_INT__k_g_d_p[ibra * 18 + 2] = HRR_INT__k_g_f_s[ibra * 10 + 2] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 0] );
672 
673                     HRR_INT__k_g_d_p[ibra * 18 + 3] = HRR_INT__k_g_f_s[ibra * 10 + 1] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 1] );
674 
675                     HRR_INT__k_g_d_p[ibra * 18 + 4] = HRR_INT__k_g_f_s[ibra * 10 + 3] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 1] );
676 
677                     HRR_INT__k_g_d_p[ibra * 18 + 5] = HRR_INT__k_g_f_s[ibra * 10 + 4] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 1] );
678 
679                     HRR_INT__k_g_d_p[ibra * 18 + 6] = HRR_INT__k_g_f_s[ibra * 10 + 2] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 2] );
680 
681                     HRR_INT__k_g_d_p[ibra * 18 + 7] = HRR_INT__k_g_f_s[ibra * 10 + 4] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 2] );
682 
683                     HRR_INT__k_g_d_p[ibra * 18 + 8] = HRR_INT__k_g_f_s[ibra * 10 + 5] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 2] );
684 
685                     HRR_INT__k_g_d_p[ibra * 18 + 9] = HRR_INT__k_g_f_s[ibra * 10 + 3] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 3] );
686 
687                     HRR_INT__k_g_d_p[ibra * 18 + 10] = HRR_INT__k_g_f_s[ibra * 10 + 6] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 3] );
688 
689                     HRR_INT__k_g_d_p[ibra * 18 + 11] = HRR_INT__k_g_f_s[ibra * 10 + 7] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 3] );
690 
691                     HRR_INT__k_g_d_p[ibra * 18 + 12] = HRR_INT__k_g_f_s[ibra * 10 + 4] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 4] );
692 
693                     HRR_INT__k_g_d_p[ibra * 18 + 13] = HRR_INT__k_g_f_s[ibra * 10 + 7] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 4] );
694 
695                     HRR_INT__k_g_d_p[ibra * 18 + 14] = HRR_INT__k_g_f_s[ibra * 10 + 8] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 4] );
696 
697                     HRR_INT__k_g_d_p[ibra * 18 + 15] = HRR_INT__k_g_f_s[ibra * 10 + 5] + ( hCD[0] * HRR_INT__k_g_d_s[ibra * 6 + 5] );
698 
699                     HRR_INT__k_g_d_p[ibra * 18 + 16] = HRR_INT__k_g_f_s[ibra * 10 + 8] + ( hCD[1] * HRR_INT__k_g_d_s[ibra * 6 + 5] );
700 
701                     HRR_INT__k_g_d_p[ibra * 18 + 17] = HRR_INT__k_g_f_s[ibra * 10 + 9] + ( hCD[2] * HRR_INT__k_g_d_s[ibra * 6 + 5] );
702 
703                 }
704 
705 
706             }  // close HRR loop
707 
708 
709         }   // close loop cdbatch
710 
711         istart = iend;
712     }  // close loop over ab
713 
714     return P.nshell12_clip * Q.nshell12_clip;
715 }
716 
ostei_g_k_d_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_k_d_p)717 int ostei_g_k_d_p(struct simint_multi_shellpair const P,
718                   struct simint_multi_shellpair const Q,
719                   double screen_tol,
720                   double * const restrict work,
721                   double * const restrict INT__g_k_d_p)
722 {
723     double P_AB[3*P.nshell12];
724     struct simint_multi_shellpair P_tmp = P;
725     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
726     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
727     P_tmp.AB_x = P_AB;
728     P_tmp.AB_y = P_AB + P.nshell12;
729     P_tmp.AB_z = P_AB + 2*P.nshell12;
730 
731     for(int i = 0; i < P.nshell12; i++)
732     {
733         P_tmp.AB_x[i] = -P.AB_x[i];
734         P_tmp.AB_y[i] = -P.AB_y[i];
735         P_tmp.AB_z[i] = -P.AB_z[i];
736     }
737 
738     int ret = ostei_k_g_d_p(P_tmp, Q, screen_tol, work, INT__g_k_d_p);
739     double buffer[9720] SIMINT_ALIGN_ARRAY_DBL;
740 
741     for(int q = 0; q < ret; q++)
742     {
743         int idx = 0;
744         for(int a = 0; a < 15; ++a)
745         for(int b = 0; b < 36; ++b)
746         for(int c = 0; c < 6; ++c)
747         for(int d = 0; d < 3; ++d)
748             buffer[idx++] = INT__g_k_d_p[q*9720+b*270+a*18+c*3+d];
749 
750         memcpy(INT__g_k_d_p+q*9720, buffer, 9720*sizeof(double));
751     }
752 
753     return ret;
754 }
755 
ostei_k_g_p_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_g_p_d)756 int ostei_k_g_p_d(struct simint_multi_shellpair const P,
757                   struct simint_multi_shellpair const Q,
758                   double screen_tol,
759                   double * const restrict work,
760                   double * const restrict INT__k_g_p_d)
761 {
762     double Q_AB[3*Q.nshell12];
763     struct simint_multi_shellpair Q_tmp = Q;
764     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
765     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
766     Q_tmp.AB_x = Q_AB;
767     Q_tmp.AB_y = Q_AB + Q.nshell12;
768     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
769 
770     for(int i = 0; i < Q.nshell12; i++)
771     {
772         Q_tmp.AB_x[i] = -Q.AB_x[i];
773         Q_tmp.AB_y[i] = -Q.AB_y[i];
774         Q_tmp.AB_z[i] = -Q.AB_z[i];
775     }
776 
777     int ret = ostei_k_g_d_p(P, Q_tmp, screen_tol, work, INT__k_g_p_d);
778     double buffer[9720] SIMINT_ALIGN_ARRAY_DBL;
779 
780     for(int q = 0; q < ret; q++)
781     {
782         int idx = 0;
783         for(int a = 0; a < 36; ++a)
784         for(int b = 0; b < 15; ++b)
785         for(int c = 0; c < 3; ++c)
786         for(int d = 0; d < 6; ++d)
787             buffer[idx++] = INT__k_g_p_d[q*9720+a*270+b*18+d*3+c];
788 
789         memcpy(INT__k_g_p_d+q*9720, buffer, 9720*sizeof(double));
790     }
791 
792     return ret;
793 }
794 
ostei_g_k_p_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__g_k_p_d)795 int ostei_g_k_p_d(struct simint_multi_shellpair const P,
796                   struct simint_multi_shellpair const Q,
797                   double screen_tol,
798                   double * const restrict work,
799                   double * const restrict INT__g_k_p_d)
800 {
801     double P_AB[3*P.nshell12];
802     struct simint_multi_shellpair P_tmp = P;
803     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
804     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
805     P_tmp.AB_x = P_AB;
806     P_tmp.AB_y = P_AB + P.nshell12;
807     P_tmp.AB_z = P_AB + 2*P.nshell12;
808 
809     for(int i = 0; i < P.nshell12; i++)
810     {
811         P_tmp.AB_x[i] = -P.AB_x[i];
812         P_tmp.AB_y[i] = -P.AB_y[i];
813         P_tmp.AB_z[i] = -P.AB_z[i];
814     }
815 
816     double Q_AB[3*Q.nshell12];
817     struct simint_multi_shellpair Q_tmp = Q;
818     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
819     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
820     Q_tmp.AB_x = Q_AB;
821     Q_tmp.AB_y = Q_AB + Q.nshell12;
822     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
823 
824     for(int i = 0; i < Q.nshell12; i++)
825     {
826         Q_tmp.AB_x[i] = -Q.AB_x[i];
827         Q_tmp.AB_y[i] = -Q.AB_y[i];
828         Q_tmp.AB_z[i] = -Q.AB_z[i];
829     }
830 
831     int ret = ostei_k_g_d_p(P_tmp, Q_tmp, screen_tol, work, INT__g_k_p_d);
832     double buffer[9720] SIMINT_ALIGN_ARRAY_DBL;
833 
834     for(int q = 0; q < ret; q++)
835     {
836         int idx = 0;
837         for(int a = 0; a < 15; ++a)
838         for(int b = 0; b < 36; ++b)
839         for(int c = 0; c < 3; ++c)
840         for(int d = 0; d < 6; ++d)
841             buffer[idx++] = INT__g_k_p_d[q*9720+b*270+a*18+d*3+c];
842 
843         memcpy(INT__g_k_p_d+q*9720, buffer, 9720*sizeof(double));
844     }
845 
846     return ret;
847 }
848 
849