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_i_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__i_i_d_p)8 int ostei_i_i_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__i_i_d_p)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_i_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__i_s_d_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__i_s_f_s = work + (SIMINT_NSHELL_SIMD * 168);
31     double * const INT__k_s_d_s = work + (SIMINT_NSHELL_SIMD * 448);
32     double * const INT__k_s_f_s = work + (SIMINT_NSHELL_SIMD * 664);
33     double * const INT__l_s_d_s = work + (SIMINT_NSHELL_SIMD * 1024);
34     double * const INT__l_s_f_s = work + (SIMINT_NSHELL_SIMD * 1294);
35     double * const INT__m_s_d_s = work + (SIMINT_NSHELL_SIMD * 1744);
36     double * const INT__m_s_f_s = work + (SIMINT_NSHELL_SIMD * 2074);
37     double * const INT__n_s_d_s = work + (SIMINT_NSHELL_SIMD * 2624);
38     double * const INT__n_s_f_s = work + (SIMINT_NSHELL_SIMD * 3020);
39     double * const INT__o_s_d_s = work + (SIMINT_NSHELL_SIMD * 3680);
40     double * const INT__o_s_f_s = work + (SIMINT_NSHELL_SIMD * 4148);
41     double * const INT__q_s_d_s = work + (SIMINT_NSHELL_SIMD * 4928);
42     double * const INT__q_s_f_s = work + (SIMINT_NSHELL_SIMD * 5474);
43     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*6384);
44     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 16;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 61;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 145;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 275;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 455;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 590;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 821;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 1010;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 1262;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 1542;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 1794;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 2130;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 2410;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 2734;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 3058;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 3490;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 3850;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 4210;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 4615;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 5155;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 5605;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 5990;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 6485;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 7145;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 7695;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 8091;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 8685;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 9477;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_s_s = primwork + 10137;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_p_s = primwork + 10527;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_d_s = primwork + 11229;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_f_s = primwork + 12165;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_s_s = primwork + 12945;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_p_s = primwork + 13309;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_d_s = primwork + 14128;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__q_s_f_s = primwork + 15220;
81     double * const hrrwork = (double *)(primwork + 16130);
82     double * const HRR_INT__i_p_d_s = hrrwork + 0;
83     double * const HRR_INT__i_p_f_s = hrrwork + 504;
84     double * const HRR_INT__i_d_d_s = hrrwork + 1344;
85     double * const HRR_INT__i_d_f_s = hrrwork + 2352;
86     double * const HRR_INT__i_f_d_s = hrrwork + 4032;
87     double * const HRR_INT__i_f_f_s = hrrwork + 5712;
88     double * const HRR_INT__i_g_d_s = hrrwork + 8512;
89     double * const HRR_INT__i_g_f_s = hrrwork + 11032;
90     double * const HRR_INT__i_h_d_s = hrrwork + 15232;
91     double * const HRR_INT__i_h_f_s = hrrwork + 18760;
92     double * const HRR_INT__i_i_d_s = hrrwork + 24640;
93     double * const HRR_INT__i_i_f_s = hrrwork + 29344;
94     double * const HRR_INT__k_p_d_s = hrrwork + 37184;
95     double * const HRR_INT__k_p_f_s = hrrwork + 37832;
96     double * const HRR_INT__k_d_d_s = hrrwork + 38912;
97     double * const HRR_INT__k_d_f_s = hrrwork + 40208;
98     double * const HRR_INT__k_f_d_s = hrrwork + 42368;
99     double * const HRR_INT__k_f_f_s = hrrwork + 44528;
100     double * const HRR_INT__k_g_d_s = hrrwork + 48128;
101     double * const HRR_INT__k_g_f_s = hrrwork + 51368;
102     double * const HRR_INT__k_h_d_s = hrrwork + 56768;
103     double * const HRR_INT__k_h_f_s = hrrwork + 61304;
104     double * const HRR_INT__l_p_d_s = hrrwork + 68864;
105     double * const HRR_INT__l_p_f_s = hrrwork + 69674;
106     double * const HRR_INT__l_d_d_s = hrrwork + 71024;
107     double * const HRR_INT__l_d_f_s = hrrwork + 72644;
108     double * const HRR_INT__l_f_d_s = hrrwork + 75344;
109     double * const HRR_INT__l_f_f_s = hrrwork + 78044;
110     double * const HRR_INT__l_g_d_s = hrrwork + 82544;
111     double * const HRR_INT__l_g_f_s = hrrwork + 86594;
112     double * const HRR_INT__m_p_d_s = hrrwork + 93344;
113     double * const HRR_INT__m_p_f_s = hrrwork + 94334;
114     double * const HRR_INT__m_d_d_s = hrrwork + 95984;
115     double * const HRR_INT__m_d_f_s = hrrwork + 97964;
116     double * const HRR_INT__m_f_d_s = hrrwork + 101264;
117     double * const HRR_INT__m_f_f_s = hrrwork + 104564;
118     double * const HRR_INT__n_p_d_s = hrrwork + 110064;
119     double * const HRR_INT__n_p_f_s = hrrwork + 111252;
120     double * const HRR_INT__n_d_d_s = hrrwork + 113232;
121     double * const HRR_INT__n_d_f_s = hrrwork + 115608;
122     double * const HRR_INT__o_p_d_s = hrrwork + 119568;
123     double * const HRR_INT__o_p_f_s = hrrwork + 120972;
124 
125 
126     // Create constants
127     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
128     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
129     const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
130     const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
131     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
132     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
133     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
134     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
135     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
136     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
137     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
138     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
139     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
140 
141 
142     ////////////////////////////////////////
143     // Loop over shells and primitives
144     ////////////////////////////////////////
145 
146     real_abcd = 0;
147     istart = 0;
148     for(ab = 0; ab < P.nshell12_clip; ++ab)
149     {
150         const int iend = istart + P.nprim12[ab];
151 
152         cd = 0;
153         jstart = 0;
154 
155         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
156         {
157             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
158             int jend = jstart;
159             for(i = 0; i < nshellbatch; i++)
160                 jend += Q.nprim12[cd+i];
161 
162             // Clear the beginning of the workspace (where we are accumulating integrals)
163             memset(work, 0, SIMINT_NSHELL_SIMD * 6384 * sizeof(double));
164             abcd = 0;
165 
166 
167             for(i = istart; i < iend; ++i)
168             {
169                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
170 
171                 if(check_screen)
172                 {
173                     // Skip this whole thing if always insignificant
174                     if((P.screen[i] * Q.screen_max) < screen_tol)
175                         continue;
176                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
177                 }
178 
179                 icd = 0;
180                 iprimcd = 0;
181                 nprim_icd = Q.nprim12[cd];
182                 double * restrict PRIM_PTR_INT__i_s_d_s = INT__i_s_d_s + abcd * 168;
183                 double * restrict PRIM_PTR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
184                 double * restrict PRIM_PTR_INT__k_s_d_s = INT__k_s_d_s + abcd * 216;
185                 double * restrict PRIM_PTR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
186                 double * restrict PRIM_PTR_INT__l_s_d_s = INT__l_s_d_s + abcd * 270;
187                 double * restrict PRIM_PTR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
188                 double * restrict PRIM_PTR_INT__m_s_d_s = INT__m_s_d_s + abcd * 330;
189                 double * restrict PRIM_PTR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
190                 double * restrict PRIM_PTR_INT__n_s_d_s = INT__n_s_d_s + abcd * 396;
191                 double * restrict PRIM_PTR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
192                 double * restrict PRIM_PTR_INT__o_s_d_s = INT__o_s_d_s + abcd * 468;
193                 double * restrict PRIM_PTR_INT__o_s_f_s = INT__o_s_f_s + abcd * 780;
194                 double * restrict PRIM_PTR_INT__q_s_d_s = INT__q_s_d_s + abcd * 546;
195                 double * restrict PRIM_PTR_INT__q_s_f_s = INT__q_s_f_s + abcd * 910;
196 
197 
198 
199                 // Load these one per loop over i
200                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
201                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
202                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
203 
204                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
205 
206                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
207                 {
208                     // calculate the shell offsets
209                     // these are the offset from the shell pointed to by cd
210                     // for each element
211                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
212                     int lastoffset = 0;
213                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
214 
215                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
216                     {
217                         // Handle if the first element of the vector is a new shell
218                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
219                         {
220                             nprim_icd += Q.nprim12[cd + (++icd)];
221                             PRIM_PTR_INT__i_s_d_s += 168;
222                             PRIM_PTR_INT__i_s_f_s += 280;
223                             PRIM_PTR_INT__k_s_d_s += 216;
224                             PRIM_PTR_INT__k_s_f_s += 360;
225                             PRIM_PTR_INT__l_s_d_s += 270;
226                             PRIM_PTR_INT__l_s_f_s += 450;
227                             PRIM_PTR_INT__m_s_d_s += 330;
228                             PRIM_PTR_INT__m_s_f_s += 550;
229                             PRIM_PTR_INT__n_s_d_s += 396;
230                             PRIM_PTR_INT__n_s_f_s += 660;
231                             PRIM_PTR_INT__o_s_d_s += 468;
232                             PRIM_PTR_INT__o_s_f_s += 780;
233                             PRIM_PTR_INT__q_s_d_s += 546;
234                             PRIM_PTR_INT__q_s_f_s += 910;
235                         }
236                         iprimcd++;
237                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
238                         {
239                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
240                             {
241                                 shelloffsets[n] = shelloffsets[n-1] + 1;
242                                 lastoffset++;
243                                 nprim_icd += Q.nprim12[cd + (++icd)];
244                             }
245                             else
246                                 shelloffsets[n] = shelloffsets[n-1];
247                             iprimcd++;
248                         }
249                     }
250                     else
251                         iprimcd += SIMINT_SIMD_LEN;
252 
253                     // Do we have to compute this vector (or has it been screened out)?
254                     // (not_screened != 0 means we have to do this vector)
255                     if(check_screen)
256                     {
257                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
258                         if(vmax < screen_tol)
259                         {
260                             PRIM_PTR_INT__i_s_d_s += lastoffset*168;
261                             PRIM_PTR_INT__i_s_f_s += lastoffset*280;
262                             PRIM_PTR_INT__k_s_d_s += lastoffset*216;
263                             PRIM_PTR_INT__k_s_f_s += lastoffset*360;
264                             PRIM_PTR_INT__l_s_d_s += lastoffset*270;
265                             PRIM_PTR_INT__l_s_f_s += lastoffset*450;
266                             PRIM_PTR_INT__m_s_d_s += lastoffset*330;
267                             PRIM_PTR_INT__m_s_f_s += lastoffset*550;
268                             PRIM_PTR_INT__n_s_d_s += lastoffset*396;
269                             PRIM_PTR_INT__n_s_f_s += lastoffset*660;
270                             PRIM_PTR_INT__o_s_d_s += lastoffset*468;
271                             PRIM_PTR_INT__o_s_f_s += lastoffset*780;
272                             PRIM_PTR_INT__q_s_d_s += lastoffset*546;
273                             PRIM_PTR_INT__q_s_f_s += lastoffset*910;
274                             continue;
275                         }
276                     }
277 
278                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
279                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
280                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
281                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
282 
283 
284                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
285                     SIMINT_DBLTYPE PQ[3];
286                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
287                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
288                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
289                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
290                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
291                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
292 
293                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
294                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
295                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
296                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
297                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
298                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
299                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
300 
301                     // NOTE: Minus sign!
302                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
303                     SIMINT_DBLTYPE aop_PQ[3];
304                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
305                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
306                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
307 
308                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
309                     SIMINT_DBLTYPE aoq_PQ[3];
310                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
311                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
312                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
313                     // Put a minus sign here so we don't have to in RR routines
314                     a_over_q = SIMINT_NEG(a_over_q);
315 
316 
317                     //////////////////////////////////////////////
318                     // Fjt function section
319                     // Maximum v value: 15
320                     //////////////////////////////////////////////
321                     // The parameter to the Fjt function
322                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
323 
324 
325                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
326 
327 
328                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 15);
329                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
330                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
331                     for(n = 0; n <= 15; n++)
332                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
333 
334                     //////////////////////////////////////////////
335                     // Primitive integrals: Vertical recurrance
336                     //////////////////////////////////////////////
337 
338                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
339                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
340                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
341                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
342                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
343                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
344                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
345                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
346                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
347                     const SIMINT_DBLTYPE vrr_const_10_over_2p = SIMINT_MUL(const_10, one_over_2p);
348                     const SIMINT_DBLTYPE vrr_const_11_over_2p = SIMINT_MUL(const_11, one_over_2p);
349                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
350                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
351                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
352                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
353                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
354                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
355                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
356                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
357                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
358                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
359                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
360                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
361                     const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
362                     const SIMINT_DBLTYPE vrr_const_12_over_2pq = SIMINT_MUL(const_12, one_over_2pq);
363 
364 
365 
366                     // Forming PRIM_INT__p_s_s_s[15 * 3];
367                     for(n = 0; n < 15; ++n)  // loop over orders of auxiliary function
368                     {
369 
370                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
371                         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]);
372 
373                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
374                         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]);
375 
376                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
377                         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]);
378 
379                     }
380 
381 
382 
383                     // Forming PRIM_INT__d_s_s_s[14 * 6];
384                     for(n = 0; n < 14; ++n)  // loop over orders of auxiliary function
385                     {
386 
387                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
388                         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]);
389                         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]);
390 
391                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
392                         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]);
393 
394                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
395                         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]);
396                         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]);
397 
398                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
399                         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]);
400                         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]);
401 
402                     }
403 
404 
405 
406                     // Forming PRIM_INT__f_s_s_s[13 * 10];
407                     for(n = 0; n < 13; ++n)  // loop over orders of auxiliary function
408                     {
409 
410                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
411                         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]);
412                         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]);
413 
414                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
415                         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]);
416 
417                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
418                         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]);
419 
420                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
421                         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]);
422 
423                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
424                         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]);
425 
426                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
427                         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]);
428 
429                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
430                         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]);
431                         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]);
432 
433                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
434                         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]);
435 
436                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
437                         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]);
438 
439                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
440                         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]);
441                         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]);
442 
443                     }
444 
445 
446                     VRR_I_g_s_s_s(
447                             PRIM_INT__g_s_s_s,
448                             PRIM_INT__f_s_s_s,
449                             PRIM_INT__d_s_s_s,
450                             P_PA,
451                             a_over_p,
452                             aop_PQ,
453                             one_over_2p,
454                             12);
455 
456 
457                     VRR_I_h_s_s_s(
458                             PRIM_INT__h_s_s_s,
459                             PRIM_INT__g_s_s_s,
460                             PRIM_INT__f_s_s_s,
461                             P_PA,
462                             a_over_p,
463                             aop_PQ,
464                             one_over_2p,
465                             11);
466 
467 
468                     ostei_general_vrr1_I(6, 10,
469                             one_over_2p, a_over_p, aop_PQ, P_PA,
470                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
471 
472 
473                     ostei_general_vrr_K(6, 0, 1, 0, 3,
474                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
475                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
476 
477 
478                     ostei_general_vrr_K(5, 0, 1, 0, 3,
479                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
480                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
481 
482 
483                     ostei_general_vrr_K(6, 0, 2, 0, 2,
484                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
485                             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);
486 
487 
488                     VRR_K_g_s_p_s(
489                             PRIM_INT__g_s_p_s,
490                             PRIM_INT__g_s_s_s,
491                             PRIM_INT__f_s_s_s,
492                             Q_PA,
493                             aoq_PQ,
494                             one_over_2pq,
495                             3);
496 
497 
498                     ostei_general_vrr_K(5, 0, 2, 0, 2,
499                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
500                             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);
501 
502 
503                     ostei_general_vrr_K(6, 0, 3, 0, 1,
504                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
505                             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);
506 
507 
508                     ostei_general_vrr1_I(7, 9,
509                             one_over_2p, a_over_p, aop_PQ, P_PA,
510                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
511 
512 
513                     ostei_general_vrr_K(7, 0, 1, 0, 3,
514                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
515                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
516 
517 
518                     ostei_general_vrr_K(7, 0, 2, 0, 2,
519                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
520                             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);
521 
522 
523                     ostei_general_vrr_K(7, 0, 3, 0, 1,
524                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
525                             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);
526 
527 
528                     ostei_general_vrr1_I(8, 8,
529                             one_over_2p, a_over_p, aop_PQ, P_PA,
530                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
531 
532 
533                     ostei_general_vrr_K(8, 0, 1, 0, 3,
534                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
535                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
536 
537 
538                     ostei_general_vrr_K(8, 0, 2, 0, 2,
539                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
540                             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);
541 
542 
543                     ostei_general_vrr_K(8, 0, 3, 0, 1,
544                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
545                             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);
546 
547 
548                     ostei_general_vrr1_I(9, 7,
549                             one_over_2p, a_over_p, aop_PQ, P_PA,
550                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
551 
552 
553                     ostei_general_vrr_K(9, 0, 1, 0, 3,
554                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
555                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
556 
557 
558                     ostei_general_vrr_K(9, 0, 2, 0, 2,
559                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
560                             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);
561 
562 
563                     ostei_general_vrr_K(9, 0, 3, 0, 1,
564                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
565                             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);
566 
567 
568                     ostei_general_vrr1_I(10, 6,
569                             one_over_2p, a_over_p, aop_PQ, P_PA,
570                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
571 
572 
573                     ostei_general_vrr_K(10, 0, 1, 0, 3,
574                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
575                             PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
576 
577 
578                     ostei_general_vrr_K(10, 0, 2, 0, 2,
579                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
580                             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);
581 
582 
583                     ostei_general_vrr_K(10, 0, 3, 0, 1,
584                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
585                             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);
586 
587 
588                     ostei_general_vrr1_I(11, 5,
589                             one_over_2p, a_over_p, aop_PQ, P_PA,
590                             PRIM_INT__n_s_s_s, PRIM_INT__m_s_s_s, PRIM_INT__o_s_s_s);
591 
592 
593                     ostei_general_vrr_K(11, 0, 1, 0, 3,
594                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
595                             PRIM_INT__o_s_s_s, NULL, NULL, PRIM_INT__n_s_s_s, NULL, PRIM_INT__o_s_p_s);
596 
597 
598                     ostei_general_vrr_K(11, 0, 2, 0, 2,
599                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
600                             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);
601 
602 
603                     ostei_general_vrr_K(11, 0, 3, 0, 1,
604                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
605                             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);
606 
607 
608                     ostei_general_vrr1_I(12, 4,
609                             one_over_2p, a_over_p, aop_PQ, P_PA,
610                             PRIM_INT__o_s_s_s, PRIM_INT__n_s_s_s, PRIM_INT__q_s_s_s);
611 
612 
613                     ostei_general_vrr_K(12, 0, 1, 0, 3,
614                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
615                             PRIM_INT__q_s_s_s, NULL, NULL, PRIM_INT__o_s_s_s, NULL, PRIM_INT__q_s_p_s);
616 
617 
618                     ostei_general_vrr_K(12, 0, 2, 0, 2,
619                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
620                             PRIM_INT__q_s_p_s, PRIM_INT__q_s_s_s, NULL, PRIM_INT__o_s_p_s, NULL, PRIM_INT__q_s_d_s);
621 
622 
623                     ostei_general_vrr_K(12, 0, 3, 0, 1,
624                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
625                             PRIM_INT__q_s_d_s, PRIM_INT__q_s_p_s, NULL, PRIM_INT__o_s_d_s, NULL, PRIM_INT__q_s_f_s);
626 
627 
628 
629 
630                     ////////////////////////////////////
631                     // Accumulate contracted integrals
632                     ////////////////////////////////////
633                     if(lastoffset == 0)
634                     {
635                         contract_all(168, PRIM_INT__i_s_d_s, PRIM_PTR_INT__i_s_d_s);
636                         contract_all(280, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
637                         contract_all(216, PRIM_INT__k_s_d_s, PRIM_PTR_INT__k_s_d_s);
638                         contract_all(360, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
639                         contract_all(270, PRIM_INT__l_s_d_s, PRIM_PTR_INT__l_s_d_s);
640                         contract_all(450, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
641                         contract_all(330, PRIM_INT__m_s_d_s, PRIM_PTR_INT__m_s_d_s);
642                         contract_all(550, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
643                         contract_all(396, PRIM_INT__n_s_d_s, PRIM_PTR_INT__n_s_d_s);
644                         contract_all(660, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
645                         contract_all(468, PRIM_INT__o_s_d_s, PRIM_PTR_INT__o_s_d_s);
646                         contract_all(780, PRIM_INT__o_s_f_s, PRIM_PTR_INT__o_s_f_s);
647                         contract_all(546, PRIM_INT__q_s_d_s, PRIM_PTR_INT__q_s_d_s);
648                         contract_all(910, PRIM_INT__q_s_f_s, PRIM_PTR_INT__q_s_f_s);
649                     }
650                     else
651                     {
652                         contract(168, shelloffsets, PRIM_INT__i_s_d_s, PRIM_PTR_INT__i_s_d_s);
653                         contract(280, shelloffsets, PRIM_INT__i_s_f_s, PRIM_PTR_INT__i_s_f_s);
654                         contract(216, shelloffsets, PRIM_INT__k_s_d_s, PRIM_PTR_INT__k_s_d_s);
655                         contract(360, shelloffsets, PRIM_INT__k_s_f_s, PRIM_PTR_INT__k_s_f_s);
656                         contract(270, shelloffsets, PRIM_INT__l_s_d_s, PRIM_PTR_INT__l_s_d_s);
657                         contract(450, shelloffsets, PRIM_INT__l_s_f_s, PRIM_PTR_INT__l_s_f_s);
658                         contract(330, shelloffsets, PRIM_INT__m_s_d_s, PRIM_PTR_INT__m_s_d_s);
659                         contract(550, shelloffsets, PRIM_INT__m_s_f_s, PRIM_PTR_INT__m_s_f_s);
660                         contract(396, shelloffsets, PRIM_INT__n_s_d_s, PRIM_PTR_INT__n_s_d_s);
661                         contract(660, shelloffsets, PRIM_INT__n_s_f_s, PRIM_PTR_INT__n_s_f_s);
662                         contract(468, shelloffsets, PRIM_INT__o_s_d_s, PRIM_PTR_INT__o_s_d_s);
663                         contract(780, shelloffsets, PRIM_INT__o_s_f_s, PRIM_PTR_INT__o_s_f_s);
664                         contract(546, shelloffsets, PRIM_INT__q_s_d_s, PRIM_PTR_INT__q_s_d_s);
665                         contract(910, shelloffsets, PRIM_INT__q_s_f_s, PRIM_PTR_INT__q_s_f_s);
666                         PRIM_PTR_INT__i_s_d_s += lastoffset*168;
667                         PRIM_PTR_INT__i_s_f_s += lastoffset*280;
668                         PRIM_PTR_INT__k_s_d_s += lastoffset*216;
669                         PRIM_PTR_INT__k_s_f_s += lastoffset*360;
670                         PRIM_PTR_INT__l_s_d_s += lastoffset*270;
671                         PRIM_PTR_INT__l_s_f_s += lastoffset*450;
672                         PRIM_PTR_INT__m_s_d_s += lastoffset*330;
673                         PRIM_PTR_INT__m_s_f_s += lastoffset*550;
674                         PRIM_PTR_INT__n_s_d_s += lastoffset*396;
675                         PRIM_PTR_INT__n_s_f_s += lastoffset*660;
676                         PRIM_PTR_INT__o_s_d_s += lastoffset*468;
677                         PRIM_PTR_INT__o_s_f_s += lastoffset*780;
678                         PRIM_PTR_INT__q_s_d_s += lastoffset*546;
679                         PRIM_PTR_INT__q_s_f_s += lastoffset*910;
680                     }
681 
682                 }  // close loop over j
683             }  // close loop over i
684 
685             //Advance to the next batch
686             jstart = SIMINT_SIMD_ROUND(jend);
687 
688             //////////////////////////////////////////////
689             // Contracted integrals: Horizontal recurrance
690             //////////////////////////////////////////////
691 
692 
693             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
694 
695 
696             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
697             {
698                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
699 
700                 // set up HRR pointers
701                 double const * restrict HRR_INT__i_s_d_s = INT__i_s_d_s + abcd * 168;
702                 double const * restrict HRR_INT__i_s_f_s = INT__i_s_f_s + abcd * 280;
703                 double const * restrict HRR_INT__k_s_d_s = INT__k_s_d_s + abcd * 216;
704                 double const * restrict HRR_INT__k_s_f_s = INT__k_s_f_s + abcd * 360;
705                 double const * restrict HRR_INT__l_s_d_s = INT__l_s_d_s + abcd * 270;
706                 double const * restrict HRR_INT__l_s_f_s = INT__l_s_f_s + abcd * 450;
707                 double const * restrict HRR_INT__m_s_d_s = INT__m_s_d_s + abcd * 330;
708                 double const * restrict HRR_INT__m_s_f_s = INT__m_s_f_s + abcd * 550;
709                 double const * restrict HRR_INT__n_s_d_s = INT__n_s_d_s + abcd * 396;
710                 double const * restrict HRR_INT__n_s_f_s = INT__n_s_f_s + abcd * 660;
711                 double const * restrict HRR_INT__o_s_d_s = INT__o_s_d_s + abcd * 468;
712                 double const * restrict HRR_INT__o_s_f_s = INT__o_s_f_s + abcd * 780;
713                 double const * restrict HRR_INT__q_s_d_s = INT__q_s_d_s + abcd * 546;
714                 double const * restrict HRR_INT__q_s_f_s = INT__q_s_f_s + abcd * 910;
715                 double * restrict HRR_INT__i_i_d_p = INT__i_i_d_p + real_abcd * 14112;
716 
717                 // form INT__i_p_d_s
718                 ostei_general_hrr_J(6, 1, 2, 0, hAB, HRR_INT__k_s_d_s, HRR_INT__i_s_d_s, HRR_INT__i_p_d_s);
719 
720                 // form INT__i_p_f_s
721                 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);
722 
723                 // form INT__k_p_d_s
724                 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);
725 
726                 // form INT__k_p_f_s
727                 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);
728 
729                 // form INT__l_p_d_s
730                 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);
731 
732                 // form INT__l_p_f_s
733                 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);
734 
735                 // form INT__m_p_d_s
736                 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);
737 
738                 // form INT__m_p_f_s
739                 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);
740 
741                 // form INT__n_p_d_s
742                 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);
743 
744                 // form INT__n_p_f_s
745                 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);
746 
747                 // form INT__o_p_d_s
748                 ostei_general_hrr_J(11, 1, 2, 0, hAB, HRR_INT__q_s_d_s, HRR_INT__o_s_d_s, HRR_INT__o_p_d_s);
749 
750                 // form INT__o_p_f_s
751                 ostei_general_hrr_J(11, 1, 3, 0, hAB, HRR_INT__q_s_f_s, HRR_INT__o_s_f_s, HRR_INT__o_p_f_s);
752 
753                 // form INT__i_d_d_s
754                 ostei_general_hrr_J(6, 2, 2, 0, hAB, HRR_INT__k_p_d_s, HRR_INT__i_p_d_s, HRR_INT__i_d_d_s);
755 
756                 // form INT__i_d_f_s
757                 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);
758 
759                 // form INT__k_d_d_s
760                 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);
761 
762                 // form INT__k_d_f_s
763                 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);
764 
765                 // form INT__l_d_d_s
766                 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);
767 
768                 // form INT__l_d_f_s
769                 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);
770 
771                 // form INT__m_d_d_s
772                 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);
773 
774                 // form INT__m_d_f_s
775                 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);
776 
777                 // form INT__n_d_d_s
778                 ostei_general_hrr_J(10, 2, 2, 0, hAB, HRR_INT__o_p_d_s, HRR_INT__n_p_d_s, HRR_INT__n_d_d_s);
779 
780                 // form INT__n_d_f_s
781                 ostei_general_hrr_J(10, 2, 3, 0, hAB, HRR_INT__o_p_f_s, HRR_INT__n_p_f_s, HRR_INT__n_d_f_s);
782 
783                 // form INT__i_f_d_s
784                 ostei_general_hrr_J(6, 3, 2, 0, hAB, HRR_INT__k_d_d_s, HRR_INT__i_d_d_s, HRR_INT__i_f_d_s);
785 
786                 // form INT__i_f_f_s
787                 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);
788 
789                 // form INT__k_f_d_s
790                 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);
791 
792                 // form INT__k_f_f_s
793                 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);
794 
795                 // form INT__l_f_d_s
796                 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);
797 
798                 // form INT__l_f_f_s
799                 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);
800 
801                 // form INT__m_f_d_s
802                 ostei_general_hrr_J(9, 3, 2, 0, hAB, HRR_INT__n_d_d_s, HRR_INT__m_d_d_s, HRR_INT__m_f_d_s);
803 
804                 // form INT__m_f_f_s
805                 ostei_general_hrr_J(9, 3, 3, 0, hAB, HRR_INT__n_d_f_s, HRR_INT__m_d_f_s, HRR_INT__m_f_f_s);
806 
807                 // form INT__i_g_d_s
808                 ostei_general_hrr_J(6, 4, 2, 0, hAB, HRR_INT__k_f_d_s, HRR_INT__i_f_d_s, HRR_INT__i_g_d_s);
809 
810                 // form INT__i_g_f_s
811                 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);
812 
813                 // form INT__k_g_d_s
814                 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);
815 
816                 // form INT__k_g_f_s
817                 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);
818 
819                 // form INT__l_g_d_s
820                 ostei_general_hrr_J(8, 4, 2, 0, hAB, HRR_INT__m_f_d_s, HRR_INT__l_f_d_s, HRR_INT__l_g_d_s);
821 
822                 // form INT__l_g_f_s
823                 ostei_general_hrr_J(8, 4, 3, 0, hAB, HRR_INT__m_f_f_s, HRR_INT__l_f_f_s, HRR_INT__l_g_f_s);
824 
825                 // form INT__i_h_d_s
826                 ostei_general_hrr_J(6, 5, 2, 0, hAB, HRR_INT__k_g_d_s, HRR_INT__i_g_d_s, HRR_INT__i_h_d_s);
827 
828                 // form INT__i_h_f_s
829                 ostei_general_hrr_J(6, 5, 3, 0, hAB, HRR_INT__k_g_f_s, HRR_INT__i_g_f_s, HRR_INT__i_h_f_s);
830 
831                 // form INT__k_h_d_s
832                 ostei_general_hrr_J(7, 5, 2, 0, hAB, HRR_INT__l_g_d_s, HRR_INT__k_g_d_s, HRR_INT__k_h_d_s);
833 
834                 // form INT__k_h_f_s
835                 ostei_general_hrr_J(7, 5, 3, 0, hAB, HRR_INT__l_g_f_s, HRR_INT__k_g_f_s, HRR_INT__k_h_f_s);
836 
837                 // form INT__i_i_d_s
838                 ostei_general_hrr_J(6, 6, 2, 0, hAB, HRR_INT__k_h_d_s, HRR_INT__i_h_d_s, HRR_INT__i_i_d_s);
839 
840                 // form INT__i_i_f_s
841                 ostei_general_hrr_J(6, 6, 3, 0, hAB, HRR_INT__k_h_f_s, HRR_INT__i_h_f_s, HRR_INT__i_i_f_s);
842 
843                 // form INT__i_i_d_p
844                 for(ibra = 0; ibra < 784; ++ibra)
845                 {
846                     HRR_INT__i_i_d_p[ibra * 18 + 0] = HRR_INT__i_i_f_s[ibra * 10 + 0] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 0] );
847 
848                     HRR_INT__i_i_d_p[ibra * 18 + 1] = HRR_INT__i_i_f_s[ibra * 10 + 1] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 0] );
849 
850                     HRR_INT__i_i_d_p[ibra * 18 + 2] = HRR_INT__i_i_f_s[ibra * 10 + 2] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 0] );
851 
852                     HRR_INT__i_i_d_p[ibra * 18 + 3] = HRR_INT__i_i_f_s[ibra * 10 + 1] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 1] );
853 
854                     HRR_INT__i_i_d_p[ibra * 18 + 4] = HRR_INT__i_i_f_s[ibra * 10 + 3] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 1] );
855 
856                     HRR_INT__i_i_d_p[ibra * 18 + 5] = HRR_INT__i_i_f_s[ibra * 10 + 4] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 1] );
857 
858                     HRR_INT__i_i_d_p[ibra * 18 + 6] = HRR_INT__i_i_f_s[ibra * 10 + 2] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 2] );
859 
860                     HRR_INT__i_i_d_p[ibra * 18 + 7] = HRR_INT__i_i_f_s[ibra * 10 + 4] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 2] );
861 
862                     HRR_INT__i_i_d_p[ibra * 18 + 8] = HRR_INT__i_i_f_s[ibra * 10 + 5] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 2] );
863 
864                     HRR_INT__i_i_d_p[ibra * 18 + 9] = HRR_INT__i_i_f_s[ibra * 10 + 3] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 3] );
865 
866                     HRR_INT__i_i_d_p[ibra * 18 + 10] = HRR_INT__i_i_f_s[ibra * 10 + 6] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 3] );
867 
868                     HRR_INT__i_i_d_p[ibra * 18 + 11] = HRR_INT__i_i_f_s[ibra * 10 + 7] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 3] );
869 
870                     HRR_INT__i_i_d_p[ibra * 18 + 12] = HRR_INT__i_i_f_s[ibra * 10 + 4] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 4] );
871 
872                     HRR_INT__i_i_d_p[ibra * 18 + 13] = HRR_INT__i_i_f_s[ibra * 10 + 7] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 4] );
873 
874                     HRR_INT__i_i_d_p[ibra * 18 + 14] = HRR_INT__i_i_f_s[ibra * 10 + 8] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 4] );
875 
876                     HRR_INT__i_i_d_p[ibra * 18 + 15] = HRR_INT__i_i_f_s[ibra * 10 + 5] + ( hCD[0] * HRR_INT__i_i_d_s[ibra * 6 + 5] );
877 
878                     HRR_INT__i_i_d_p[ibra * 18 + 16] = HRR_INT__i_i_f_s[ibra * 10 + 8] + ( hCD[1] * HRR_INT__i_i_d_s[ibra * 6 + 5] );
879 
880                     HRR_INT__i_i_d_p[ibra * 18 + 17] = HRR_INT__i_i_f_s[ibra * 10 + 9] + ( hCD[2] * HRR_INT__i_i_d_s[ibra * 6 + 5] );
881 
882                 }
883 
884 
885             }  // close HRR loop
886 
887 
888         }   // close loop cdbatch
889 
890         istart = iend;
891     }  // close loop over ab
892 
893     return P.nshell12_clip * Q.nshell12_clip;
894 }
895 
ostei_i_i_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__i_i_p_d)896 int ostei_i_i_p_d(struct simint_multi_shellpair const P,
897                   struct simint_multi_shellpair const Q,
898                   double screen_tol,
899                   double * const restrict work,
900                   double * const restrict INT__i_i_p_d)
901 {
902     double Q_AB[3*Q.nshell12];
903     struct simint_multi_shellpair Q_tmp = Q;
904     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
905     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
906     Q_tmp.AB_x = Q_AB;
907     Q_tmp.AB_y = Q_AB + Q.nshell12;
908     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
909 
910     for(int i = 0; i < Q.nshell12; i++)
911     {
912         Q_tmp.AB_x[i] = -Q.AB_x[i];
913         Q_tmp.AB_y[i] = -Q.AB_y[i];
914         Q_tmp.AB_z[i] = -Q.AB_z[i];
915     }
916 
917     int ret = ostei_i_i_d_p(P, Q_tmp, screen_tol, work, INT__i_i_p_d);
918     double buffer[14112] SIMINT_ALIGN_ARRAY_DBL;
919 
920     for(int q = 0; q < ret; q++)
921     {
922         int idx = 0;
923         for(int a = 0; a < 28; ++a)
924         for(int b = 0; b < 28; ++b)
925         for(int c = 0; c < 3; ++c)
926         for(int d = 0; d < 6; ++d)
927             buffer[idx++] = INT__i_i_p_d[q*14112+a*504+b*18+d*3+c];
928 
929         memcpy(INT__i_i_p_d+q*14112, buffer, 14112*sizeof(double));
930     }
931 
932     return ret;
933 }
934 
935