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_h_h_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_h_h_d)8 int ostei_i_h_h_d(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_h_h_d)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__i_h_h_d);
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_h_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 588);
31     double * const INT__i_s_k_s = work + (SIMINT_NSHELL_SIMD * 1372);
32     double * const INT__k_s_h_s = work + (SIMINT_NSHELL_SIMD * 2380);
33     double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 3136);
34     double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 4144);
35     double * const INT__l_s_h_s = work + (SIMINT_NSHELL_SIMD * 5440);
36     double * const INT__l_s_i_s = work + (SIMINT_NSHELL_SIMD * 6385);
37     double * const INT__l_s_k_s = work + (SIMINT_NSHELL_SIMD * 7645);
38     double * const INT__m_s_h_s = work + (SIMINT_NSHELL_SIMD * 9265);
39     double * const INT__m_s_i_s = work + (SIMINT_NSHELL_SIMD * 10420);
40     double * const INT__m_s_k_s = work + (SIMINT_NSHELL_SIMD * 11960);
41     double * const INT__n_s_h_s = work + (SIMINT_NSHELL_SIMD * 13940);
42     double * const INT__n_s_i_s = work + (SIMINT_NSHELL_SIMD * 15326);
43     double * const INT__n_s_k_s = work + (SIMINT_NSHELL_SIMD * 17174);
44     double * const INT__o_s_h_s = work + (SIMINT_NSHELL_SIMD * 19550);
45     double * const INT__o_s_i_s = work + (SIMINT_NSHELL_SIMD * 21188);
46     double * const INT__o_s_k_s = work + (SIMINT_NSHELL_SIMD * 23372);
47     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*26180);
48     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 19;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 40;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 94;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 157;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 265;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 367;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 493;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 709;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 1009;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 1169;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 1379;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 1739;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 2239;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 2839;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 3064;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 3379;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 3919;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 4669;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 5569;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 6514;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 6808;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 7249;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 8005;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 9055;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 10315;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 11638;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 12814;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 13178;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 13766;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 14774;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 16174;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 17854;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 19618;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 21186;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 22194;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 22626;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 23382;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 24678;
87     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 26478;
88     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 28638;
89     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 30906;
90     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 32922;
91     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 34218;
92     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 34713;
93     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 35658;
94     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 37278;
95     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 39528;
96     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_h_s = primwork + 42228;
97     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_i_s = primwork + 45063;
98     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_k_s = primwork + 47583;
99     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 49203;
100     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 49753;
101     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 50908;
102     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 52888;
103     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_g_s = primwork + 55638;
104     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_h_s = primwork + 58938;
105     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_i_s = primwork + 62403;
106     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_k_s = primwork + 65483;
107     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 67463;
108     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 68057;
109     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 69443;
110     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 71819;
111     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_g_s = primwork + 75119;
112     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_h_s = primwork + 79079;
113     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_i_s = primwork + 83237;
114     SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_k_s = primwork + 86933;
115     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_s_s = primwork + 89309;
116     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_p_s = primwork + 89933;
117     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_d_s = primwork + 91571;
118     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_f_s = primwork + 94379;
119     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_g_s = primwork + 98279;
120     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_h_s = primwork + 102959;
121     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_i_s = primwork + 107873;
122     SIMINT_DBLTYPE * const restrict PRIM_INT__o_s_k_s = primwork + 112241;
123     double * const hrrwork = (double *)(primwork + 115049);
124     double * const HRR_INT__i_p_h_s = hrrwork + 0;
125     double * const HRR_INT__i_p_i_s = hrrwork + 1764;
126     double * const HRR_INT__i_p_k_s = hrrwork + 4116;
127     double * const HRR_INT__i_d_h_s = hrrwork + 7140;
128     double * const HRR_INT__i_d_i_s = hrrwork + 10668;
129     double * const HRR_INT__i_d_k_s = hrrwork + 15372;
130     double * const HRR_INT__i_f_h_s = hrrwork + 21420;
131     double * const HRR_INT__i_f_i_s = hrrwork + 27300;
132     double * const HRR_INT__i_f_k_s = hrrwork + 35140;
133     double * const HRR_INT__i_g_h_s = hrrwork + 45220;
134     double * const HRR_INT__i_g_i_s = hrrwork + 54040;
135     double * const HRR_INT__i_g_k_s = hrrwork + 65800;
136     double * const HRR_INT__i_h_h_s = hrrwork + 80920;
137     double * const HRR_INT__i_h_h_p = hrrwork + 93268;
138     double * const HRR_INT__i_h_i_s = hrrwork + 130312;
139     double * const HRR_INT__i_h_i_p = hrrwork + 146776;
140     double * const HRR_INT__i_h_k_s = hrrwork + 196168;
141     double * const HRR_INT__k_p_h_s = hrrwork + 217336;
142     double * const HRR_INT__k_p_i_s = hrrwork + 219604;
143     double * const HRR_INT__k_p_k_s = hrrwork + 222628;
144     double * const HRR_INT__k_d_h_s = hrrwork + 226516;
145     double * const HRR_INT__k_d_i_s = hrrwork + 231052;
146     double * const HRR_INT__k_d_k_s = hrrwork + 237100;
147     double * const HRR_INT__k_f_h_s = hrrwork + 244876;
148     double * const HRR_INT__k_f_i_s = hrrwork + 252436;
149     double * const HRR_INT__k_f_k_s = hrrwork + 262516;
150     double * const HRR_INT__k_g_h_s = hrrwork + 275476;
151     double * const HRR_INT__k_g_i_s = hrrwork + 286816;
152     double * const HRR_INT__k_g_k_s = hrrwork + 301936;
153     double * const HRR_INT__l_p_h_s = hrrwork + 321376;
154     double * const HRR_INT__l_p_i_s = hrrwork + 324211;
155     double * const HRR_INT__l_p_k_s = hrrwork + 327991;
156     double * const HRR_INT__l_d_h_s = hrrwork + 332851;
157     double * const HRR_INT__l_d_i_s = hrrwork + 338521;
158     double * const HRR_INT__l_d_k_s = hrrwork + 346081;
159     double * const HRR_INT__l_f_h_s = hrrwork + 355801;
160     double * const HRR_INT__l_f_i_s = hrrwork + 365251;
161     double * const HRR_INT__l_f_k_s = hrrwork + 377851;
162     double * const HRR_INT__m_p_h_s = hrrwork + 394051;
163     double * const HRR_INT__m_p_i_s = hrrwork + 397516;
164     double * const HRR_INT__m_p_k_s = hrrwork + 402136;
165     double * const HRR_INT__m_d_h_s = hrrwork + 408076;
166     double * const HRR_INT__m_d_i_s = hrrwork + 415006;
167     double * const HRR_INT__m_d_k_s = hrrwork + 424246;
168     double * const HRR_INT__n_p_h_s = hrrwork + 436126;
169     double * const HRR_INT__n_p_i_s = hrrwork + 440284;
170     double * const HRR_INT__n_p_k_s = hrrwork + 445828;
171 
172 
173     // Create constants
174     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
175     const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
176     const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
177     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
178     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
179     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
180     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
181     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
182     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
183     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
184     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
185     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
186 
187 
188     ////////////////////////////////////////
189     // Loop over shells and primitives
190     ////////////////////////////////////////
191 
192     real_abcd = 0;
193     istart = 0;
194     for(ab = 0; ab < P.nshell12_clip; ++ab)
195     {
196         const int iend = istart + P.nprim12[ab];
197 
198         cd = 0;
199         jstart = 0;
200 
201         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
202         {
203             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
204             int jend = jstart;
205             for(i = 0; i < nshellbatch; i++)
206                 jend += Q.nprim12[cd+i];
207 
208             // Clear the beginning of the workspace (where we are accumulating integrals)
209             memset(work, 0, SIMINT_NSHELL_SIMD * 26180 * sizeof(double));
210             abcd = 0;
211 
212 
213             for(i = istart; i < iend; ++i)
214             {
215                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
216 
217                 if(check_screen)
218                 {
219                     // Skip this whole thing if always insignificant
220                     if((P.screen[i] * Q.screen_max) < screen_tol)
221                         continue;
222                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
223                 }
224 
225                 icd = 0;
226                 iprimcd = 0;
227                 nprim_icd = Q.nprim12[cd];
228                 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
229                 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
230                 double * restrict PRIM_PTR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
231                 double * restrict PRIM_PTR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
232                 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
233                 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
234                 double * restrict PRIM_PTR_INT__l_s_h_s = INT__l_s_h_s + abcd * 945;
235                 double * restrict PRIM_PTR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
236                 double * restrict PRIM_PTR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
237                 double * restrict PRIM_PTR_INT__m_s_h_s = INT__m_s_h_s + abcd * 1155;
238                 double * restrict PRIM_PTR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
239                 double * restrict PRIM_PTR_INT__m_s_k_s = INT__m_s_k_s + abcd * 1980;
240                 double * restrict PRIM_PTR_INT__n_s_h_s = INT__n_s_h_s + abcd * 1386;
241                 double * restrict PRIM_PTR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
242                 double * restrict PRIM_PTR_INT__n_s_k_s = INT__n_s_k_s + abcd * 2376;
243                 double * restrict PRIM_PTR_INT__o_s_h_s = INT__o_s_h_s + abcd * 1638;
244                 double * restrict PRIM_PTR_INT__o_s_i_s = INT__o_s_i_s + abcd * 2184;
245                 double * restrict PRIM_PTR_INT__o_s_k_s = INT__o_s_k_s + abcd * 2808;
246 
247 
248 
249                 // Load these one per loop over i
250                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
251                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
252                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
253 
254                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
255 
256                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
257                 {
258                     // calculate the shell offsets
259                     // these are the offset from the shell pointed to by cd
260                     // for each element
261                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
262                     int lastoffset = 0;
263                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
264 
265                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
266                     {
267                         // Handle if the first element of the vector is a new shell
268                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
269                         {
270                             nprim_icd += Q.nprim12[cd + (++icd)];
271                             PRIM_PTR_INT__i_s_h_s += 588;
272                             PRIM_PTR_INT__i_s_i_s += 784;
273                             PRIM_PTR_INT__i_s_k_s += 1008;
274                             PRIM_PTR_INT__k_s_h_s += 756;
275                             PRIM_PTR_INT__k_s_i_s += 1008;
276                             PRIM_PTR_INT__k_s_k_s += 1296;
277                             PRIM_PTR_INT__l_s_h_s += 945;
278                             PRIM_PTR_INT__l_s_i_s += 1260;
279                             PRIM_PTR_INT__l_s_k_s += 1620;
280                             PRIM_PTR_INT__m_s_h_s += 1155;
281                             PRIM_PTR_INT__m_s_i_s += 1540;
282                             PRIM_PTR_INT__m_s_k_s += 1980;
283                             PRIM_PTR_INT__n_s_h_s += 1386;
284                             PRIM_PTR_INT__n_s_i_s += 1848;
285                             PRIM_PTR_INT__n_s_k_s += 2376;
286                             PRIM_PTR_INT__o_s_h_s += 1638;
287                             PRIM_PTR_INT__o_s_i_s += 2184;
288                             PRIM_PTR_INT__o_s_k_s += 2808;
289                         }
290                         iprimcd++;
291                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
292                         {
293                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
294                             {
295                                 shelloffsets[n] = shelloffsets[n-1] + 1;
296                                 lastoffset++;
297                                 nprim_icd += Q.nprim12[cd + (++icd)];
298                             }
299                             else
300                                 shelloffsets[n] = shelloffsets[n-1];
301                             iprimcd++;
302                         }
303                     }
304                     else
305                         iprimcd += SIMINT_SIMD_LEN;
306 
307                     // Do we have to compute this vector (or has it been screened out)?
308                     // (not_screened != 0 means we have to do this vector)
309                     if(check_screen)
310                     {
311                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
312                         if(vmax < screen_tol)
313                         {
314                             PRIM_PTR_INT__i_s_h_s += lastoffset*588;
315                             PRIM_PTR_INT__i_s_i_s += lastoffset*784;
316                             PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
317                             PRIM_PTR_INT__k_s_h_s += lastoffset*756;
318                             PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
319                             PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
320                             PRIM_PTR_INT__l_s_h_s += lastoffset*945;
321                             PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
322                             PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
323                             PRIM_PTR_INT__m_s_h_s += lastoffset*1155;
324                             PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
325                             PRIM_PTR_INT__m_s_k_s += lastoffset*1980;
326                             PRIM_PTR_INT__n_s_h_s += lastoffset*1386;
327                             PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
328                             PRIM_PTR_INT__n_s_k_s += lastoffset*2376;
329                             PRIM_PTR_INT__o_s_h_s += lastoffset*1638;
330                             PRIM_PTR_INT__o_s_i_s += lastoffset*2184;
331                             PRIM_PTR_INT__o_s_k_s += lastoffset*2808;
332                             continue;
333                         }
334                     }
335 
336                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
337                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
338                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
339                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
340 
341 
342                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
343                     SIMINT_DBLTYPE PQ[3];
344                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
345                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
346                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
347                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
348                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
349                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
350 
351                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
352                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
353                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
354                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
355                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
356                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
357                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
358 
359                     // NOTE: Minus sign!
360                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
361                     SIMINT_DBLTYPE aop_PQ[3];
362                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
363                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
364                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
365 
366                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
367                     SIMINT_DBLTYPE aoq_PQ[3];
368                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
369                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
370                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
371                     // Put a minus sign here so we don't have to in RR routines
372                     a_over_q = SIMINT_NEG(a_over_q);
373 
374 
375                     //////////////////////////////////////////////
376                     // Fjt function section
377                     // Maximum v value: 18
378                     //////////////////////////////////////////////
379                     // The parameter to the Fjt function
380                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
381 
382 
383                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
384 
385 
386                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 18);
387                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
388                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
389                     for(n = 0; n <= 18; n++)
390                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
391 
392                     //////////////////////////////////////////////
393                     // Primitive integrals: Vertical recurrance
394                     //////////////////////////////////////////////
395 
396                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
397                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
398                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
399                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
400                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
401                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
402                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
403                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
404                     const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
405                     const SIMINT_DBLTYPE vrr_const_10_over_2p = SIMINT_MUL(const_10, one_over_2p);
406                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
407                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
408                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
409                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
410                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
411                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
412                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
413                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
414                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
415                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
416                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
417                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
418                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
419                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
420                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
421                     const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
422                     const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
423 
424 
425 
426                     // Forming PRIM_INT__p_s_s_s[18 * 3];
427                     for(n = 0; n < 18; ++n)  // loop over orders of auxiliary function
428                     {
429 
430                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
431                         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]);
432 
433                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
434                         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]);
435 
436                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
437                         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]);
438 
439                     }
440 
441 
442 
443                     // Forming PRIM_INT__d_s_s_s[17 * 6];
444                     for(n = 0; n < 17; ++n)  // loop over orders of auxiliary function
445                     {
446 
447                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
448                         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]);
449                         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]);
450 
451                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
452                         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]);
453 
454                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
455                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_s_s[n * 6 + 2]);
456 
457                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
458                         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]);
459                         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]);
460 
461                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
462                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_s_s[n * 6 + 4]);
463 
464                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
465                         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]);
466                         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]);
467 
468                     }
469 
470 
471 
472                     // Forming PRIM_INT__f_s_s_s[16 * 10];
473                     for(n = 0; n < 16; ++n)  // loop over orders of auxiliary function
474                     {
475 
476                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
477                         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]);
478                         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]);
479 
480                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
481                         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]);
482 
483                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
484                         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]);
485 
486                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
487                         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]);
488 
489                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
490                         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]);
491 
492                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
493                         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]);
494 
495                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
496                         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]);
497                         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]);
498 
499                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
500                         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]);
501 
502                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
503                         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]);
504 
505                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
506                         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]);
507                         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]);
508 
509                     }
510 
511 
512                     VRR_I_g_s_s_s(
513                             PRIM_INT__g_s_s_s,
514                             PRIM_INT__f_s_s_s,
515                             PRIM_INT__d_s_s_s,
516                             P_PA,
517                             a_over_p,
518                             aop_PQ,
519                             one_over_2p,
520                             15);
521 
522 
523                     VRR_I_h_s_s_s(
524                             PRIM_INT__h_s_s_s,
525                             PRIM_INT__g_s_s_s,
526                             PRIM_INT__f_s_s_s,
527                             P_PA,
528                             a_over_p,
529                             aop_PQ,
530                             one_over_2p,
531                             14);
532 
533 
534                     ostei_general_vrr1_I(6, 13,
535                             one_over_2p, a_over_p, aop_PQ, P_PA,
536                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
537 
538 
539                     ostei_general_vrr_K(6, 0, 1, 0, 7,
540                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
541                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
542 
543 
544                     ostei_general_vrr_K(5, 0, 1, 0, 7,
545                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
546                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
547 
548 
549                     ostei_general_vrr_K(6, 0, 2, 0, 6,
550                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
551                             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);
552 
553 
554                     VRR_K_g_s_p_s(
555                             PRIM_INT__g_s_p_s,
556                             PRIM_INT__g_s_s_s,
557                             PRIM_INT__f_s_s_s,
558                             Q_PA,
559                             aoq_PQ,
560                             one_over_2pq,
561                             7);
562 
563 
564                     ostei_general_vrr_K(5, 0, 2, 0, 6,
565                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
566                             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);
567 
568 
569                     ostei_general_vrr_K(6, 0, 3, 0, 5,
570                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
571                             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);
572 
573 
574                     VRR_K_f_s_p_s(
575                             PRIM_INT__f_s_p_s,
576                             PRIM_INT__f_s_s_s,
577                             PRIM_INT__d_s_s_s,
578                             Q_PA,
579                             aoq_PQ,
580                             one_over_2pq,
581                             7);
582 
583 
584                     ostei_general_vrr_K(4, 0, 2, 0, 6,
585                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
586                             PRIM_INT__g_s_p_s, PRIM_INT__g_s_s_s, NULL, PRIM_INT__f_s_p_s, NULL, PRIM_INT__g_s_d_s);
587 
588 
589                     ostei_general_vrr_K(5, 0, 3, 0, 5,
590                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
591                             PRIM_INT__h_s_d_s, PRIM_INT__h_s_p_s, NULL, PRIM_INT__g_s_d_s, NULL, PRIM_INT__h_s_f_s);
592 
593 
594                     ostei_general_vrr_K(6, 0, 4, 0, 4,
595                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
596                             PRIM_INT__i_s_f_s, PRIM_INT__i_s_d_s, NULL, PRIM_INT__h_s_f_s, NULL, PRIM_INT__i_s_g_s);
597 
598 
599 
600                     // Forming PRIM_INT__d_s_p_s[7 * 18];
601                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
602                     {
603 
604                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
605                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
606                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
607 
608                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
609                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 1]);
610 
611                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
612                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 0], PRIM_INT__d_s_p_s[n * 18 + 2]);
613 
614                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
615                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 3]);
616                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 3]);
617 
618                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
619                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 4]);
620                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 4]);
621 
622                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
623                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 1], PRIM_INT__d_s_p_s[n * 18 + 5]);
624 
625                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
626                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 6]);
627                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 6]);
628 
629                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
630                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 7]);
631 
632                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
633                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 2], PRIM_INT__d_s_p_s[n * 18 + 8]);
634                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__d_s_p_s[n * 18 + 8]);
635 
636                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
637                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 9]);
638 
639                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
640                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 10]);
641                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 10]);
642 
643                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
644                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 3], PRIM_INT__d_s_p_s[n * 18 + 11]);
645 
646                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
647                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 12]);
648 
649                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
650                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 13]);
651                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 13]);
652 
653                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
654                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 4], PRIM_INT__d_s_p_s[n * 18 + 14]);
655                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__d_s_p_s[n * 18 + 14]);
656 
657                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
658                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 15]);
659 
660                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
661                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 16]);
662 
663                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
664                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__d_s_s_s[(n+1) * 6 + 5], PRIM_INT__d_s_p_s[n * 18 + 17]);
665                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__d_s_p_s[n * 18 + 17]);
666 
667                     }
668 
669 
670                     VRR_K_f_s_d_s(
671                             PRIM_INT__f_s_d_s,
672                             PRIM_INT__f_s_p_s,
673                             PRIM_INT__f_s_s_s,
674                             PRIM_INT__d_s_p_s,
675                             Q_PA,
676                             a_over_q,
677                             aoq_PQ,
678                             one_over_2pq,
679                             one_over_2q,
680                             6);
681 
682 
683                     ostei_general_vrr_K(4, 0, 3, 0, 5,
684                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
685                             PRIM_INT__g_s_d_s, PRIM_INT__g_s_p_s, NULL, PRIM_INT__f_s_d_s, NULL, PRIM_INT__g_s_f_s);
686 
687 
688                     ostei_general_vrr_K(5, 0, 4, 0, 4,
689                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
690                             PRIM_INT__h_s_f_s, PRIM_INT__h_s_d_s, NULL, PRIM_INT__g_s_f_s, NULL, PRIM_INT__h_s_g_s);
691 
692 
693                     ostei_general_vrr_K(6, 0, 5, 0, 3,
694                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
695                             PRIM_INT__i_s_g_s, PRIM_INT__i_s_f_s, NULL, PRIM_INT__h_s_g_s, NULL, PRIM_INT__i_s_h_s);
696 
697 
698 
699                     // Forming PRIM_INT__p_s_p_s[7 * 9];
700                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
701                     {
702 
703                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
704                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
705                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
706 
707                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
708                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 1]);
709 
710                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
711                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 2]);
712 
713                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
714                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 3]);
715 
716                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
717                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 4]);
718                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 4]);
719 
720                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
721                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 5]);
722 
723                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
724                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 6]);
725 
726                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
727                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 7]);
728 
729                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
730                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 8]);
731                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__p_s_p_s[n * 9 + 8]);
732 
733                     }
734 
735 
736                     VRR_K_d_s_d_s(
737                             PRIM_INT__d_s_d_s,
738                             PRIM_INT__d_s_p_s,
739                             PRIM_INT__d_s_s_s,
740                             PRIM_INT__p_s_p_s,
741                             Q_PA,
742                             a_over_q,
743                             aoq_PQ,
744                             one_over_2pq,
745                             one_over_2q,
746                             6);
747 
748 
749                     ostei_general_vrr_K(3, 0, 3, 0, 5,
750                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
751                             PRIM_INT__f_s_d_s, PRIM_INT__f_s_p_s, NULL, PRIM_INT__d_s_d_s, NULL, PRIM_INT__f_s_f_s);
752 
753 
754                     ostei_general_vrr_K(4, 0, 4, 0, 4,
755                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
756                             PRIM_INT__g_s_f_s, PRIM_INT__g_s_d_s, NULL, PRIM_INT__f_s_f_s, NULL, PRIM_INT__g_s_g_s);
757 
758 
759                     ostei_general_vrr_K(5, 0, 5, 0, 3,
760                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
761                             PRIM_INT__h_s_g_s, PRIM_INT__h_s_f_s, NULL, PRIM_INT__g_s_g_s, NULL, PRIM_INT__h_s_h_s);
762 
763 
764                     ostei_general_vrr_K(6, 0, 6, 0, 2,
765                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
766                             PRIM_INT__i_s_h_s, PRIM_INT__i_s_g_s, NULL, PRIM_INT__h_s_h_s, NULL, PRIM_INT__i_s_i_s);
767 
768 
769                     ostei_general_vrr1_I(7, 12,
770                             one_over_2p, a_over_p, aop_PQ, P_PA,
771                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
772 
773 
774                     ostei_general_vrr_K(7, 0, 1, 0, 7,
775                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
776                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
777 
778 
779                     ostei_general_vrr_K(7, 0, 2, 0, 6,
780                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
781                             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);
782 
783 
784                     ostei_general_vrr_K(7, 0, 3, 0, 5,
785                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
786                             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);
787 
788 
789                     ostei_general_vrr_K(7, 0, 4, 0, 4,
790                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
791                             PRIM_INT__k_s_f_s, PRIM_INT__k_s_d_s, NULL, PRIM_INT__i_s_f_s, NULL, PRIM_INT__k_s_g_s);
792 
793 
794                     ostei_general_vrr_K(7, 0, 5, 0, 3,
795                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
796                             PRIM_INT__k_s_g_s, PRIM_INT__k_s_f_s, NULL, PRIM_INT__i_s_g_s, NULL, PRIM_INT__k_s_h_s);
797 
798 
799 
800                     // Forming PRIM_INT__s_s_p_s[7 * 3];
801                     for(n = 0; n < 7; ++n)  // loop over orders of auxiliary function
802                     {
803 
804                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
805                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]);
806 
807                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
808                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 1]);
809 
810                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
811                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_p_s[n * 3 + 2]);
812 
813                     }
814 
815 
816 
817                     // Forming PRIM_INT__p_s_d_s[6 * 18];
818                     for(n = 0; n < 6; ++n)  // loop over orders of auxiliary function
819                     {
820 
821                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
822                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
823                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 0]);
824                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
825 
826                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
827                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 1], PRIM_INT__p_s_d_s[n * 18 + 3]);
828                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 3]);
829 
830                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
831                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 2], PRIM_INT__p_s_d_s[n * 18 + 5]);
832                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 0], PRIM_INT__p_s_s_s[n * 3 + 0]), PRIM_INT__p_s_d_s[n * 18 + 5]);
833 
834                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
835                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 3], PRIM_INT__p_s_d_s[n * 18 + 6]);
836                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 6]);
837 
838                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
839                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 4], PRIM_INT__p_s_d_s[n * 18 + 9]);
840                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 9]);
841                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_d_s[n * 18 + 9]);
842 
843                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
844                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 5], PRIM_INT__p_s_d_s[n * 18 + 11]);
845                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 1], PRIM_INT__p_s_s_s[n * 3 + 1]), PRIM_INT__p_s_d_s[n * 18 + 11]);
846 
847                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
848                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 6], PRIM_INT__p_s_d_s[n * 18 + 12]);
849                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 12]);
850 
851                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
852                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 7], PRIM_INT__p_s_d_s[n * 18 + 15]);
853                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 15]);
854 
855                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
856                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 8], PRIM_INT__p_s_d_s[n * 18 + 17]);
857                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__p_s_s_s[(n+1) * 3 + 2], PRIM_INT__p_s_s_s[n * 3 + 2]), PRIM_INT__p_s_d_s[n * 18 + 17]);
858                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_d_s[n * 18 + 17]);
859 
860                     }
861 
862 
863                     VRR_K_d_s_f_s(
864                             PRIM_INT__d_s_f_s,
865                             PRIM_INT__d_s_d_s,
866                             PRIM_INT__d_s_p_s,
867                             PRIM_INT__p_s_d_s,
868                             Q_PA,
869                             a_over_q,
870                             aoq_PQ,
871                             one_over_2pq,
872                             one_over_2q,
873                             5);
874 
875 
876                     ostei_general_vrr_K(3, 0, 4, 0, 4,
877                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
878                             PRIM_INT__f_s_f_s, PRIM_INT__f_s_d_s, NULL, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_g_s);
879 
880 
881                     ostei_general_vrr_K(4, 0, 5, 0, 3,
882                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
883                             PRIM_INT__g_s_g_s, PRIM_INT__g_s_f_s, NULL, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_h_s);
884 
885 
886                     ostei_general_vrr_K(5, 0, 6, 0, 2,
887                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
888                             PRIM_INT__h_s_h_s, PRIM_INT__h_s_g_s, NULL, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_i_s);
889 
890 
891                     ostei_general_vrr_K(6, 0, 7, 0, 1,
892                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
893                             PRIM_INT__i_s_i_s, PRIM_INT__i_s_h_s, NULL, PRIM_INT__h_s_i_s, NULL, PRIM_INT__i_s_k_s);
894 
895 
896                     ostei_general_vrr_K(7, 0, 6, 0, 2,
897                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
898                             PRIM_INT__k_s_h_s, PRIM_INT__k_s_g_s, NULL, PRIM_INT__i_s_h_s, NULL, PRIM_INT__k_s_i_s);
899 
900 
901                     ostei_general_vrr1_I(8, 11,
902                             one_over_2p, a_over_p, aop_PQ, P_PA,
903                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
904 
905 
906                     ostei_general_vrr_K(8, 0, 1, 0, 7,
907                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
908                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
909 
910 
911                     ostei_general_vrr_K(8, 0, 2, 0, 6,
912                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
913                             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);
914 
915 
916                     ostei_general_vrr_K(8, 0, 3, 0, 5,
917                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
918                             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);
919 
920 
921                     ostei_general_vrr_K(8, 0, 4, 0, 4,
922                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
923                             PRIM_INT__l_s_f_s, PRIM_INT__l_s_d_s, NULL, PRIM_INT__k_s_f_s, NULL, PRIM_INT__l_s_g_s);
924 
925 
926                     ostei_general_vrr_K(8, 0, 5, 0, 3,
927                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
928                             PRIM_INT__l_s_g_s, PRIM_INT__l_s_f_s, NULL, PRIM_INT__k_s_g_s, NULL, PRIM_INT__l_s_h_s);
929 
930 
931                     ostei_general_vrr_K(7, 0, 7, 0, 1,
932                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
933                             PRIM_INT__k_s_i_s, PRIM_INT__k_s_h_s, NULL, PRIM_INT__i_s_i_s, NULL, PRIM_INT__k_s_k_s);
934 
935 
936                     ostei_general_vrr_K(8, 0, 6, 0, 2,
937                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
938                             PRIM_INT__l_s_h_s, PRIM_INT__l_s_g_s, NULL, PRIM_INT__k_s_h_s, NULL, PRIM_INT__l_s_i_s);
939 
940 
941                     ostei_general_vrr1_I(9, 10,
942                             one_over_2p, a_over_p, aop_PQ, P_PA,
943                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
944 
945 
946                     ostei_general_vrr_K(9, 0, 1, 0, 7,
947                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
948                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
949 
950 
951                     ostei_general_vrr_K(9, 0, 2, 0, 6,
952                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
953                             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);
954 
955 
956                     ostei_general_vrr_K(9, 0, 3, 0, 5,
957                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
958                             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);
959 
960 
961                     ostei_general_vrr_K(9, 0, 4, 0, 4,
962                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
963                             PRIM_INT__m_s_f_s, PRIM_INT__m_s_d_s, NULL, PRIM_INT__l_s_f_s, NULL, PRIM_INT__m_s_g_s);
964 
965 
966                     ostei_general_vrr_K(9, 0, 5, 0, 3,
967                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
968                             PRIM_INT__m_s_g_s, PRIM_INT__m_s_f_s, NULL, PRIM_INT__l_s_g_s, NULL, PRIM_INT__m_s_h_s);
969 
970 
971                     ostei_general_vrr_K(8, 0, 7, 0, 1,
972                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
973                             PRIM_INT__l_s_i_s, PRIM_INT__l_s_h_s, NULL, PRIM_INT__k_s_i_s, NULL, PRIM_INT__l_s_k_s);
974 
975 
976                     ostei_general_vrr_K(9, 0, 6, 0, 2,
977                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
978                             PRIM_INT__m_s_h_s, PRIM_INT__m_s_g_s, NULL, PRIM_INT__l_s_h_s, NULL, PRIM_INT__m_s_i_s);
979 
980 
981                     ostei_general_vrr1_I(10, 9,
982                             one_over_2p, a_over_p, aop_PQ, P_PA,
983                             PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
984 
985 
986                     ostei_general_vrr_K(10, 0, 1, 0, 7,
987                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
988                             PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
989 
990 
991                     ostei_general_vrr_K(10, 0, 2, 0, 6,
992                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
993                             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);
994 
995 
996                     ostei_general_vrr_K(10, 0, 3, 0, 5,
997                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
998                             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);
999 
1000 
1001                     ostei_general_vrr_K(10, 0, 4, 0, 4,
1002                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1003                             PRIM_INT__n_s_f_s, PRIM_INT__n_s_d_s, NULL, PRIM_INT__m_s_f_s, NULL, PRIM_INT__n_s_g_s);
1004 
1005 
1006                     ostei_general_vrr_K(10, 0, 5, 0, 3,
1007                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1008                             PRIM_INT__n_s_g_s, PRIM_INT__n_s_f_s, NULL, PRIM_INT__m_s_g_s, NULL, PRIM_INT__n_s_h_s);
1009 
1010 
1011                     ostei_general_vrr_K(9, 0, 7, 0, 1,
1012                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1013                             PRIM_INT__m_s_i_s, PRIM_INT__m_s_h_s, NULL, PRIM_INT__l_s_i_s, NULL, PRIM_INT__m_s_k_s);
1014 
1015 
1016                     ostei_general_vrr_K(10, 0, 6, 0, 2,
1017                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1018                             PRIM_INT__n_s_h_s, PRIM_INT__n_s_g_s, NULL, PRIM_INT__m_s_h_s, NULL, PRIM_INT__n_s_i_s);
1019 
1020 
1021                     ostei_general_vrr1_I(11, 8,
1022                             one_over_2p, a_over_p, aop_PQ, P_PA,
1023                             PRIM_INT__n_s_s_s, PRIM_INT__m_s_s_s, PRIM_INT__o_s_s_s);
1024 
1025 
1026                     ostei_general_vrr_K(11, 0, 1, 0, 7,
1027                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1028                             PRIM_INT__o_s_s_s, NULL, NULL, PRIM_INT__n_s_s_s, NULL, PRIM_INT__o_s_p_s);
1029 
1030 
1031                     ostei_general_vrr_K(11, 0, 2, 0, 6,
1032                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1033                             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);
1034 
1035 
1036                     ostei_general_vrr_K(11, 0, 3, 0, 5,
1037                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1038                             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);
1039 
1040 
1041                     ostei_general_vrr_K(11, 0, 4, 0, 4,
1042                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1043                             PRIM_INT__o_s_f_s, PRIM_INT__o_s_d_s, NULL, PRIM_INT__n_s_f_s, NULL, PRIM_INT__o_s_g_s);
1044 
1045 
1046                     ostei_general_vrr_K(11, 0, 5, 0, 3,
1047                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1048                             PRIM_INT__o_s_g_s, PRIM_INT__o_s_f_s, NULL, PRIM_INT__n_s_g_s, NULL, PRIM_INT__o_s_h_s);
1049 
1050 
1051                     ostei_general_vrr_K(10, 0, 7, 0, 1,
1052                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1053                             PRIM_INT__n_s_i_s, PRIM_INT__n_s_h_s, NULL, PRIM_INT__m_s_i_s, NULL, PRIM_INT__n_s_k_s);
1054 
1055 
1056                     ostei_general_vrr_K(11, 0, 6, 0, 2,
1057                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1058                             PRIM_INT__o_s_h_s, PRIM_INT__o_s_g_s, NULL, PRIM_INT__n_s_h_s, NULL, PRIM_INT__o_s_i_s);
1059 
1060 
1061                     ostei_general_vrr_K(11, 0, 7, 0, 1,
1062                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
1063                             PRIM_INT__o_s_i_s, PRIM_INT__o_s_h_s, NULL, PRIM_INT__n_s_i_s, NULL, PRIM_INT__o_s_k_s);
1064 
1065 
1066 
1067 
1068                     ////////////////////////////////////
1069                     // Accumulate contracted integrals
1070                     ////////////////////////////////////
1071                     if(lastoffset == 0)
1072                     {
1073                         contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
1074                         contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
1075                         contract_all(1008, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
1076                         contract_all(756, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
1077                         contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1078                         contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1079                         contract_all(945, PRIM_INT__l_s_h_s, PRIM_PTR_INT__l_s_h_s);
1080                         contract_all(1260, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
1081                         contract_all(1620, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1082                         contract_all(1155, PRIM_INT__m_s_h_s, PRIM_PTR_INT__m_s_h_s);
1083                         contract_all(1540, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
1084                         contract_all(1980, PRIM_INT__m_s_k_s, PRIM_PTR_INT__m_s_k_s);
1085                         contract_all(1386, PRIM_INT__n_s_h_s, PRIM_PTR_INT__n_s_h_s);
1086                         contract_all(1848, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
1087                         contract_all(2376, PRIM_INT__n_s_k_s, PRIM_PTR_INT__n_s_k_s);
1088                         contract_all(1638, PRIM_INT__o_s_h_s, PRIM_PTR_INT__o_s_h_s);
1089                         contract_all(2184, PRIM_INT__o_s_i_s, PRIM_PTR_INT__o_s_i_s);
1090                         contract_all(2808, PRIM_INT__o_s_k_s, PRIM_PTR_INT__o_s_k_s);
1091                     }
1092                     else
1093                     {
1094                         contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
1095                         contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
1096                         contract(1008, shelloffsets, PRIM_INT__i_s_k_s, PRIM_PTR_INT__i_s_k_s);
1097                         contract(756, shelloffsets, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
1098                         contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1099                         contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1100                         contract(945, shelloffsets, PRIM_INT__l_s_h_s, PRIM_PTR_INT__l_s_h_s);
1101                         contract(1260, shelloffsets, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
1102                         contract(1620, shelloffsets, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1103                         contract(1155, shelloffsets, PRIM_INT__m_s_h_s, PRIM_PTR_INT__m_s_h_s);
1104                         contract(1540, shelloffsets, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
1105                         contract(1980, shelloffsets, PRIM_INT__m_s_k_s, PRIM_PTR_INT__m_s_k_s);
1106                         contract(1386, shelloffsets, PRIM_INT__n_s_h_s, PRIM_PTR_INT__n_s_h_s);
1107                         contract(1848, shelloffsets, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
1108                         contract(2376, shelloffsets, PRIM_INT__n_s_k_s, PRIM_PTR_INT__n_s_k_s);
1109                         contract(1638, shelloffsets, PRIM_INT__o_s_h_s, PRIM_PTR_INT__o_s_h_s);
1110                         contract(2184, shelloffsets, PRIM_INT__o_s_i_s, PRIM_PTR_INT__o_s_i_s);
1111                         contract(2808, shelloffsets, PRIM_INT__o_s_k_s, PRIM_PTR_INT__o_s_k_s);
1112                         PRIM_PTR_INT__i_s_h_s += lastoffset*588;
1113                         PRIM_PTR_INT__i_s_i_s += lastoffset*784;
1114                         PRIM_PTR_INT__i_s_k_s += lastoffset*1008;
1115                         PRIM_PTR_INT__k_s_h_s += lastoffset*756;
1116                         PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
1117                         PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
1118                         PRIM_PTR_INT__l_s_h_s += lastoffset*945;
1119                         PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
1120                         PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
1121                         PRIM_PTR_INT__m_s_h_s += lastoffset*1155;
1122                         PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
1123                         PRIM_PTR_INT__m_s_k_s += lastoffset*1980;
1124                         PRIM_PTR_INT__n_s_h_s += lastoffset*1386;
1125                         PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
1126                         PRIM_PTR_INT__n_s_k_s += lastoffset*2376;
1127                         PRIM_PTR_INT__o_s_h_s += lastoffset*1638;
1128                         PRIM_PTR_INT__o_s_i_s += lastoffset*2184;
1129                         PRIM_PTR_INT__o_s_k_s += lastoffset*2808;
1130                     }
1131 
1132                 }  // close loop over j
1133             }  // close loop over i
1134 
1135             //Advance to the next batch
1136             jstart = SIMINT_SIMD_ROUND(jend);
1137 
1138             //////////////////////////////////////////////
1139             // Contracted integrals: Horizontal recurrance
1140             //////////////////////////////////////////////
1141 
1142 
1143             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
1144 
1145 
1146             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
1147             {
1148                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
1149 
1150                 // set up HRR pointers
1151                 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
1152                 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
1153                 double const * restrict HRR_INT__i_s_k_s = INT__i_s_k_s + abcd * 1008;
1154                 double const * restrict HRR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
1155                 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
1156                 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
1157                 double const * restrict HRR_INT__l_s_h_s = INT__l_s_h_s + abcd * 945;
1158                 double const * restrict HRR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
1159                 double const * restrict HRR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
1160                 double const * restrict HRR_INT__m_s_h_s = INT__m_s_h_s + abcd * 1155;
1161                 double const * restrict HRR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
1162                 double const * restrict HRR_INT__m_s_k_s = INT__m_s_k_s + abcd * 1980;
1163                 double const * restrict HRR_INT__n_s_h_s = INT__n_s_h_s + abcd * 1386;
1164                 double const * restrict HRR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
1165                 double const * restrict HRR_INT__n_s_k_s = INT__n_s_k_s + abcd * 2376;
1166                 double const * restrict HRR_INT__o_s_h_s = INT__o_s_h_s + abcd * 1638;
1167                 double const * restrict HRR_INT__o_s_i_s = INT__o_s_i_s + abcd * 2184;
1168                 double const * restrict HRR_INT__o_s_k_s = INT__o_s_k_s + abcd * 2808;
1169                 double * restrict HRR_INT__i_h_h_d = INT__i_h_h_d + real_abcd * 74088;
1170 
1171                 // form INT__i_p_h_s
1172                 ostei_general_hrr_J(6, 1, 5, 0, hAB, HRR_INT__k_s_h_s, HRR_INT__i_s_h_s, HRR_INT__i_p_h_s);
1173 
1174                 // form INT__i_p_i_s
1175                 ostei_general_hrr_J(6, 1, 6, 0, hAB, HRR_INT__k_s_i_s, HRR_INT__i_s_i_s, HRR_INT__i_p_i_s);
1176 
1177                 // form INT__i_p_k_s
1178                 ostei_general_hrr_J(6, 1, 7, 0, hAB, HRR_INT__k_s_k_s, HRR_INT__i_s_k_s, HRR_INT__i_p_k_s);
1179 
1180                 // form INT__k_p_h_s
1181                 ostei_general_hrr_J(7, 1, 5, 0, hAB, HRR_INT__l_s_h_s, HRR_INT__k_s_h_s, HRR_INT__k_p_h_s);
1182 
1183                 // form INT__k_p_i_s
1184                 ostei_general_hrr_J(7, 1, 6, 0, hAB, HRR_INT__l_s_i_s, HRR_INT__k_s_i_s, HRR_INT__k_p_i_s);
1185 
1186                 // form INT__k_p_k_s
1187                 ostei_general_hrr_J(7, 1, 7, 0, hAB, HRR_INT__l_s_k_s, HRR_INT__k_s_k_s, HRR_INT__k_p_k_s);
1188 
1189                 // form INT__l_p_h_s
1190                 ostei_general_hrr_J(8, 1, 5, 0, hAB, HRR_INT__m_s_h_s, HRR_INT__l_s_h_s, HRR_INT__l_p_h_s);
1191 
1192                 // form INT__l_p_i_s
1193                 ostei_general_hrr_J(8, 1, 6, 0, hAB, HRR_INT__m_s_i_s, HRR_INT__l_s_i_s, HRR_INT__l_p_i_s);
1194 
1195                 // form INT__l_p_k_s
1196                 ostei_general_hrr_J(8, 1, 7, 0, hAB, HRR_INT__m_s_k_s, HRR_INT__l_s_k_s, HRR_INT__l_p_k_s);
1197 
1198                 // form INT__m_p_h_s
1199                 ostei_general_hrr_J(9, 1, 5, 0, hAB, HRR_INT__n_s_h_s, HRR_INT__m_s_h_s, HRR_INT__m_p_h_s);
1200 
1201                 // form INT__m_p_i_s
1202                 ostei_general_hrr_J(9, 1, 6, 0, hAB, HRR_INT__n_s_i_s, HRR_INT__m_s_i_s, HRR_INT__m_p_i_s);
1203 
1204                 // form INT__m_p_k_s
1205                 ostei_general_hrr_J(9, 1, 7, 0, hAB, HRR_INT__n_s_k_s, HRR_INT__m_s_k_s, HRR_INT__m_p_k_s);
1206 
1207                 // form INT__n_p_h_s
1208                 ostei_general_hrr_J(10, 1, 5, 0, hAB, HRR_INT__o_s_h_s, HRR_INT__n_s_h_s, HRR_INT__n_p_h_s);
1209 
1210                 // form INT__n_p_i_s
1211                 ostei_general_hrr_J(10, 1, 6, 0, hAB, HRR_INT__o_s_i_s, HRR_INT__n_s_i_s, HRR_INT__n_p_i_s);
1212 
1213                 // form INT__n_p_k_s
1214                 ostei_general_hrr_J(10, 1, 7, 0, hAB, HRR_INT__o_s_k_s, HRR_INT__n_s_k_s, HRR_INT__n_p_k_s);
1215 
1216                 // form INT__i_d_h_s
1217                 ostei_general_hrr_J(6, 2, 5, 0, hAB, HRR_INT__k_p_h_s, HRR_INT__i_p_h_s, HRR_INT__i_d_h_s);
1218 
1219                 // form INT__i_d_i_s
1220                 ostei_general_hrr_J(6, 2, 6, 0, hAB, HRR_INT__k_p_i_s, HRR_INT__i_p_i_s, HRR_INT__i_d_i_s);
1221 
1222                 // form INT__i_d_k_s
1223                 ostei_general_hrr_J(6, 2, 7, 0, hAB, HRR_INT__k_p_k_s, HRR_INT__i_p_k_s, HRR_INT__i_d_k_s);
1224 
1225                 // form INT__k_d_h_s
1226                 ostei_general_hrr_J(7, 2, 5, 0, hAB, HRR_INT__l_p_h_s, HRR_INT__k_p_h_s, HRR_INT__k_d_h_s);
1227 
1228                 // form INT__k_d_i_s
1229                 ostei_general_hrr_J(7, 2, 6, 0, hAB, HRR_INT__l_p_i_s, HRR_INT__k_p_i_s, HRR_INT__k_d_i_s);
1230 
1231                 // form INT__k_d_k_s
1232                 ostei_general_hrr_J(7, 2, 7, 0, hAB, HRR_INT__l_p_k_s, HRR_INT__k_p_k_s, HRR_INT__k_d_k_s);
1233 
1234                 // form INT__l_d_h_s
1235                 ostei_general_hrr_J(8, 2, 5, 0, hAB, HRR_INT__m_p_h_s, HRR_INT__l_p_h_s, HRR_INT__l_d_h_s);
1236 
1237                 // form INT__l_d_i_s
1238                 ostei_general_hrr_J(8, 2, 6, 0, hAB, HRR_INT__m_p_i_s, HRR_INT__l_p_i_s, HRR_INT__l_d_i_s);
1239 
1240                 // form INT__l_d_k_s
1241                 ostei_general_hrr_J(8, 2, 7, 0, hAB, HRR_INT__m_p_k_s, HRR_INT__l_p_k_s, HRR_INT__l_d_k_s);
1242 
1243                 // form INT__m_d_h_s
1244                 ostei_general_hrr_J(9, 2, 5, 0, hAB, HRR_INT__n_p_h_s, HRR_INT__m_p_h_s, HRR_INT__m_d_h_s);
1245 
1246                 // form INT__m_d_i_s
1247                 ostei_general_hrr_J(9, 2, 6, 0, hAB, HRR_INT__n_p_i_s, HRR_INT__m_p_i_s, HRR_INT__m_d_i_s);
1248 
1249                 // form INT__m_d_k_s
1250                 ostei_general_hrr_J(9, 2, 7, 0, hAB, HRR_INT__n_p_k_s, HRR_INT__m_p_k_s, HRR_INT__m_d_k_s);
1251 
1252                 // form INT__i_f_h_s
1253                 ostei_general_hrr_J(6, 3, 5, 0, hAB, HRR_INT__k_d_h_s, HRR_INT__i_d_h_s, HRR_INT__i_f_h_s);
1254 
1255                 // form INT__i_f_i_s
1256                 ostei_general_hrr_J(6, 3, 6, 0, hAB, HRR_INT__k_d_i_s, HRR_INT__i_d_i_s, HRR_INT__i_f_i_s);
1257 
1258                 // form INT__i_f_k_s
1259                 ostei_general_hrr_J(6, 3, 7, 0, hAB, HRR_INT__k_d_k_s, HRR_INT__i_d_k_s, HRR_INT__i_f_k_s);
1260 
1261                 // form INT__k_f_h_s
1262                 ostei_general_hrr_J(7, 3, 5, 0, hAB, HRR_INT__l_d_h_s, HRR_INT__k_d_h_s, HRR_INT__k_f_h_s);
1263 
1264                 // form INT__k_f_i_s
1265                 ostei_general_hrr_J(7, 3, 6, 0, hAB, HRR_INT__l_d_i_s, HRR_INT__k_d_i_s, HRR_INT__k_f_i_s);
1266 
1267                 // form INT__k_f_k_s
1268                 ostei_general_hrr_J(7, 3, 7, 0, hAB, HRR_INT__l_d_k_s, HRR_INT__k_d_k_s, HRR_INT__k_f_k_s);
1269 
1270                 // form INT__l_f_h_s
1271                 ostei_general_hrr_J(8, 3, 5, 0, hAB, HRR_INT__m_d_h_s, HRR_INT__l_d_h_s, HRR_INT__l_f_h_s);
1272 
1273                 // form INT__l_f_i_s
1274                 ostei_general_hrr_J(8, 3, 6, 0, hAB, HRR_INT__m_d_i_s, HRR_INT__l_d_i_s, HRR_INT__l_f_i_s);
1275 
1276                 // form INT__l_f_k_s
1277                 ostei_general_hrr_J(8, 3, 7, 0, hAB, HRR_INT__m_d_k_s, HRR_INT__l_d_k_s, HRR_INT__l_f_k_s);
1278 
1279                 // form INT__i_g_h_s
1280                 ostei_general_hrr_J(6, 4, 5, 0, hAB, HRR_INT__k_f_h_s, HRR_INT__i_f_h_s, HRR_INT__i_g_h_s);
1281 
1282                 // form INT__i_g_i_s
1283                 ostei_general_hrr_J(6, 4, 6, 0, hAB, HRR_INT__k_f_i_s, HRR_INT__i_f_i_s, HRR_INT__i_g_i_s);
1284 
1285                 // form INT__i_g_k_s
1286                 ostei_general_hrr_J(6, 4, 7, 0, hAB, HRR_INT__k_f_k_s, HRR_INT__i_f_k_s, HRR_INT__i_g_k_s);
1287 
1288                 // form INT__k_g_h_s
1289                 ostei_general_hrr_J(7, 4, 5, 0, hAB, HRR_INT__l_f_h_s, HRR_INT__k_f_h_s, HRR_INT__k_g_h_s);
1290 
1291                 // form INT__k_g_i_s
1292                 ostei_general_hrr_J(7, 4, 6, 0, hAB, HRR_INT__l_f_i_s, HRR_INT__k_f_i_s, HRR_INT__k_g_i_s);
1293 
1294                 // form INT__k_g_k_s
1295                 ostei_general_hrr_J(7, 4, 7, 0, hAB, HRR_INT__l_f_k_s, HRR_INT__k_f_k_s, HRR_INT__k_g_k_s);
1296 
1297                 // form INT__i_h_h_s
1298                 ostei_general_hrr_J(6, 5, 5, 0, hAB, HRR_INT__k_g_h_s, HRR_INT__i_g_h_s, HRR_INT__i_h_h_s);
1299 
1300                 // form INT__i_h_i_s
1301                 ostei_general_hrr_J(6, 5, 6, 0, hAB, HRR_INT__k_g_i_s, HRR_INT__i_g_i_s, HRR_INT__i_h_i_s);
1302 
1303                 // form INT__i_h_k_s
1304                 ostei_general_hrr_J(6, 5, 7, 0, hAB, HRR_INT__k_g_k_s, HRR_INT__i_g_k_s, HRR_INT__i_h_k_s);
1305 
1306                 // form INT__i_h_h_p
1307                 ostei_general_hrr_L(6, 5, 5, 1, hCD, HRR_INT__i_h_i_s, HRR_INT__i_h_h_s, HRR_INT__i_h_h_p);
1308 
1309                 // form INT__i_h_i_p
1310                 ostei_general_hrr_L(6, 5, 6, 1, hCD, HRR_INT__i_h_k_s, HRR_INT__i_h_i_s, HRR_INT__i_h_i_p);
1311 
1312                 // form INT__i_h_h_d
1313                 ostei_general_hrr_L(6, 5, 5, 2, hCD, HRR_INT__i_h_i_p, HRR_INT__i_h_h_p, HRR_INT__i_h_h_d);
1314 
1315 
1316             }  // close HRR loop
1317 
1318 
1319         }   // close loop cdbatch
1320 
1321         istart = iend;
1322     }  // close loop over ab
1323 
1324     return P.nshell12_clip * Q.nshell12_clip;
1325 }
1326 
ostei_h_i_h_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_i_h_d)1327 int ostei_h_i_h_d(struct simint_multi_shellpair const P,
1328                   struct simint_multi_shellpair const Q,
1329                   double screen_tol,
1330                   double * const restrict work,
1331                   double * const restrict INT__h_i_h_d)
1332 {
1333     double P_AB[3*P.nshell12];
1334     struct simint_multi_shellpair P_tmp = P;
1335     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
1336     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
1337     P_tmp.AB_x = P_AB;
1338     P_tmp.AB_y = P_AB + P.nshell12;
1339     P_tmp.AB_z = P_AB + 2*P.nshell12;
1340 
1341     for(int i = 0; i < P.nshell12; i++)
1342     {
1343         P_tmp.AB_x[i] = -P.AB_x[i];
1344         P_tmp.AB_y[i] = -P.AB_y[i];
1345         P_tmp.AB_z[i] = -P.AB_z[i];
1346     }
1347 
1348     int ret = ostei_i_h_h_d(P_tmp, Q, screen_tol, work, INT__h_i_h_d);
1349     double buffer[74088] SIMINT_ALIGN_ARRAY_DBL;
1350 
1351     for(int q = 0; q < ret; q++)
1352     {
1353         int idx = 0;
1354         for(int a = 0; a < 21; ++a)
1355         for(int b = 0; b < 28; ++b)
1356         for(int c = 0; c < 21; ++c)
1357         for(int d = 0; d < 6; ++d)
1358             buffer[idx++] = INT__h_i_h_d[q*74088+b*2646+a*126+c*6+d];
1359 
1360         memcpy(INT__h_i_h_d+q*74088, buffer, 74088*sizeof(double));
1361     }
1362 
1363     return ret;
1364 }
1365 
ostei_i_h_d_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__i_h_d_h)1366 int ostei_i_h_d_h(struct simint_multi_shellpair const P,
1367                   struct simint_multi_shellpair const Q,
1368                   double screen_tol,
1369                   double * const restrict work,
1370                   double * const restrict INT__i_h_d_h)
1371 {
1372     double Q_AB[3*Q.nshell12];
1373     struct simint_multi_shellpair Q_tmp = Q;
1374     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1375     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1376     Q_tmp.AB_x = Q_AB;
1377     Q_tmp.AB_y = Q_AB + Q.nshell12;
1378     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1379 
1380     for(int i = 0; i < Q.nshell12; i++)
1381     {
1382         Q_tmp.AB_x[i] = -Q.AB_x[i];
1383         Q_tmp.AB_y[i] = -Q.AB_y[i];
1384         Q_tmp.AB_z[i] = -Q.AB_z[i];
1385     }
1386 
1387     int ret = ostei_i_h_h_d(P, Q_tmp, screen_tol, work, INT__i_h_d_h);
1388     double buffer[74088] SIMINT_ALIGN_ARRAY_DBL;
1389 
1390     for(int q = 0; q < ret; q++)
1391     {
1392         int idx = 0;
1393         for(int a = 0; a < 28; ++a)
1394         for(int b = 0; b < 21; ++b)
1395         for(int c = 0; c < 6; ++c)
1396         for(int d = 0; d < 21; ++d)
1397             buffer[idx++] = INT__i_h_d_h[q*74088+a*2646+b*126+d*6+c];
1398 
1399         memcpy(INT__i_h_d_h+q*74088, buffer, 74088*sizeof(double));
1400     }
1401 
1402     return ret;
1403 }
1404 
ostei_h_i_d_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_i_d_h)1405 int ostei_h_i_d_h(struct simint_multi_shellpair const P,
1406                   struct simint_multi_shellpair const Q,
1407                   double screen_tol,
1408                   double * const restrict work,
1409                   double * const restrict INT__h_i_d_h)
1410 {
1411     double P_AB[3*P.nshell12];
1412     struct simint_multi_shellpair P_tmp = P;
1413     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
1414     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
1415     P_tmp.AB_x = P_AB;
1416     P_tmp.AB_y = P_AB + P.nshell12;
1417     P_tmp.AB_z = P_AB + 2*P.nshell12;
1418 
1419     for(int i = 0; i < P.nshell12; i++)
1420     {
1421         P_tmp.AB_x[i] = -P.AB_x[i];
1422         P_tmp.AB_y[i] = -P.AB_y[i];
1423         P_tmp.AB_z[i] = -P.AB_z[i];
1424     }
1425 
1426     double Q_AB[3*Q.nshell12];
1427     struct simint_multi_shellpair Q_tmp = Q;
1428     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1429     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1430     Q_tmp.AB_x = Q_AB;
1431     Q_tmp.AB_y = Q_AB + Q.nshell12;
1432     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1433 
1434     for(int i = 0; i < Q.nshell12; i++)
1435     {
1436         Q_tmp.AB_x[i] = -Q.AB_x[i];
1437         Q_tmp.AB_y[i] = -Q.AB_y[i];
1438         Q_tmp.AB_z[i] = -Q.AB_z[i];
1439     }
1440 
1441     int ret = ostei_i_h_h_d(P_tmp, Q_tmp, screen_tol, work, INT__h_i_d_h);
1442     double buffer[74088] SIMINT_ALIGN_ARRAY_DBL;
1443 
1444     for(int q = 0; q < ret; q++)
1445     {
1446         int idx = 0;
1447         for(int a = 0; a < 21; ++a)
1448         for(int b = 0; b < 28; ++b)
1449         for(int c = 0; c < 6; ++c)
1450         for(int d = 0; d < 21; ++d)
1451             buffer[idx++] = INT__h_i_d_h[q*74088+b*2646+a*126+d*6+c];
1452 
1453         memcpy(INT__h_i_d_h+q*74088, buffer, 74088*sizeof(double));
1454     }
1455 
1456     return ret;
1457 }
1458 
1459