1 #include "simint/boys/boys.h"
2 #include "simint/ostei/gen/ostei_generated.h"
3 #include "simint/vectorization/vectorization.h"
4 #include <math.h>
5 #include <string.h>
6 
7 
ostei_k_d_k_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_d_k_d)8 int ostei_k_d_k_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__k_d_k_d)
13 {
14 
15     SIMINT_ASSUME_ALIGN_DBL(work);
16     SIMINT_ASSUME_ALIGN_DBL(INT__k_d_k_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__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 0);
30     double * const INT__k_s_l_s = work + (SIMINT_NSHELL_SIMD * 1296);
31     double * const INT__k_s_m_s = work + (SIMINT_NSHELL_SIMD * 2916);
32     double * const INT__l_s_k_s = work + (SIMINT_NSHELL_SIMD * 4896);
33     double * const INT__l_s_l_s = work + (SIMINT_NSHELL_SIMD * 6516);
34     double * const INT__l_s_m_s = work + (SIMINT_NSHELL_SIMD * 8541);
35     double * const INT__m_s_k_s = work + (SIMINT_NSHELL_SIMD * 11016);
36     double * const INT__m_s_l_s = work + (SIMINT_NSHELL_SIMD * 12996);
37     double * const INT__m_s_m_s = work + (SIMINT_NSHELL_SIMD * 15471);
38     SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*18496);
39     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
40     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 19;
41     SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 46;
42     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 94;
43     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 148;
44     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 229;
45     SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 373;
46     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 583;
47     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 685;
48     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 847;
49     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 1135;
50     SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 1555;
51     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 2095;
52     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 2255;
53     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 2525;
54     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 3005;
55     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 3705;
56     SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 4605;
57     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 5655;
58     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 5880;
59     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 6285;
60     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 7005;
61     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 8055;
62     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 9405;
63     SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 10980;
64     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 12660;
65     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 12954;
66     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 13521;
67     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 14529;
68     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 15999;
69     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 17889;
70     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 20094;
71     SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 22446;
72     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 24714;
73     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 25078;
74     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 25834;
75     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 27178;
76     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 29138;
77     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 31658;
78     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 34598;
79     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 37734;
80     SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_l_s = primwork + 40758;
81     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 43278;
82     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 43710;
83     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 44682;
84     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 46410;
85     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 48930;
86     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 52170;
87     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 55950;
88     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 59982;
89     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_l_s = primwork + 63870;
90     SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_m_s = primwork + 67110;
91     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 69090;
92     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 69585;
93     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 70800;
94     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 72960;
95     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 76110;
96     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_h_s = primwork + 80160;
97     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_i_s = primwork + 84885;
98     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_k_s = primwork + 89925;
99     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_l_s = primwork + 94785;
100     SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_m_s = primwork + 98835;
101     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 101310;
102     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 101860;
103     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 103345;
104     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 105985;
105     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_g_s = primwork + 109835;
106     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_h_s = primwork + 114785;
107     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_i_s = primwork + 120560;
108     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_k_s = primwork + 126720;
109     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_l_s = primwork + 132660;
110     SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_m_s = primwork + 137610;
111     double * const hrrwork = (double *)(primwork + 140635);
112     double * const HRR_INT__k_p_k_s = hrrwork + 0;
113     double * const HRR_INT__k_p_l_s = hrrwork + 3888;
114     double * const HRR_INT__k_p_m_s = hrrwork + 8748;
115     double * const HRR_INT__k_d_k_s = hrrwork + 14688;
116     double * const HRR_INT__k_d_k_p = hrrwork + 22464;
117     double * const HRR_INT__k_d_l_s = hrrwork + 45792;
118     double * const HRR_INT__k_d_l_p = hrrwork + 55512;
119     double * const HRR_INT__k_d_m_s = hrrwork + 84672;
120     double * const HRR_INT__l_p_k_s = hrrwork + 96552;
121     double * const HRR_INT__l_p_l_s = hrrwork + 101412;
122     double * const HRR_INT__l_p_m_s = hrrwork + 107487;
123 
124 
125     // Create constants
126     const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
127     const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
128     const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
129     const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
130     const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
131     const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
132     const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
133     const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
134     const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
135     const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
136 
137 
138     ////////////////////////////////////////
139     // Loop over shells and primitives
140     ////////////////////////////////////////
141 
142     real_abcd = 0;
143     istart = 0;
144     for(ab = 0; ab < P.nshell12_clip; ++ab)
145     {
146         const int iend = istart + P.nprim12[ab];
147 
148         cd = 0;
149         jstart = 0;
150 
151         for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
152         {
153             const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
154             int jend = jstart;
155             for(i = 0; i < nshellbatch; i++)
156                 jend += Q.nprim12[cd+i];
157 
158             // Clear the beginning of the workspace (where we are accumulating integrals)
159             memset(work, 0, SIMINT_NSHELL_SIMD * 18496 * sizeof(double));
160             abcd = 0;
161 
162 
163             for(i = istart; i < iend; ++i)
164             {
165                 SIMINT_DBLTYPE bra_screen_max;  // only used if check_screen
166 
167                 if(check_screen)
168                 {
169                     // Skip this whole thing if always insignificant
170                     if((P.screen[i] * Q.screen_max) < screen_tol)
171                         continue;
172                     bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
173                 }
174 
175                 icd = 0;
176                 iprimcd = 0;
177                 nprim_icd = Q.nprim12[cd];
178                 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
179                 double * restrict PRIM_PTR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
180                 double * restrict PRIM_PTR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
181                 double * restrict PRIM_PTR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
182                 double * restrict PRIM_PTR_INT__l_s_l_s = INT__l_s_l_s + abcd * 2025;
183                 double * restrict PRIM_PTR_INT__l_s_m_s = INT__l_s_m_s + abcd * 2475;
184                 double * restrict PRIM_PTR_INT__m_s_k_s = INT__m_s_k_s + abcd * 1980;
185                 double * restrict PRIM_PTR_INT__m_s_l_s = INT__m_s_l_s + abcd * 2475;
186                 double * restrict PRIM_PTR_INT__m_s_m_s = INT__m_s_m_s + abcd * 3025;
187 
188 
189 
190                 // Load these one per loop over i
191                 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
192                 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
193                 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
194 
195                 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
196 
197                 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
198                 {
199                     // calculate the shell offsets
200                     // these are the offset from the shell pointed to by cd
201                     // for each element
202                     int shelloffsets[SIMINT_SIMD_LEN] = {0};
203                     int lastoffset = 0;
204                     const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
205 
206                     if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
207                     {
208                         // Handle if the first element of the vector is a new shell
209                         if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
210                         {
211                             nprim_icd += Q.nprim12[cd + (++icd)];
212                             PRIM_PTR_INT__k_s_k_s += 1296;
213                             PRIM_PTR_INT__k_s_l_s += 1620;
214                             PRIM_PTR_INT__k_s_m_s += 1980;
215                             PRIM_PTR_INT__l_s_k_s += 1620;
216                             PRIM_PTR_INT__l_s_l_s += 2025;
217                             PRIM_PTR_INT__l_s_m_s += 2475;
218                             PRIM_PTR_INT__m_s_k_s += 1980;
219                             PRIM_PTR_INT__m_s_l_s += 2475;
220                             PRIM_PTR_INT__m_s_m_s += 3025;
221                         }
222                         iprimcd++;
223                         for(n = 1; n < SIMINT_SIMD_LEN; ++n)
224                         {
225                             if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
226                             {
227                                 shelloffsets[n] = shelloffsets[n-1] + 1;
228                                 lastoffset++;
229                                 nprim_icd += Q.nprim12[cd + (++icd)];
230                             }
231                             else
232                                 shelloffsets[n] = shelloffsets[n-1];
233                             iprimcd++;
234                         }
235                     }
236                     else
237                         iprimcd += SIMINT_SIMD_LEN;
238 
239                     // Do we have to compute this vector (or has it been screened out)?
240                     // (not_screened != 0 means we have to do this vector)
241                     if(check_screen)
242                     {
243                         const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
244                         if(vmax < screen_tol)
245                         {
246                             PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
247                             PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
248                             PRIM_PTR_INT__k_s_m_s += lastoffset*1980;
249                             PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
250                             PRIM_PTR_INT__l_s_l_s += lastoffset*2025;
251                             PRIM_PTR_INT__l_s_m_s += lastoffset*2475;
252                             PRIM_PTR_INT__m_s_k_s += lastoffset*1980;
253                             PRIM_PTR_INT__m_s_l_s += lastoffset*2475;
254                             PRIM_PTR_INT__m_s_m_s += lastoffset*3025;
255                             continue;
256                         }
257                     }
258 
259                     const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
260                     const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
261                     const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
262                     const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
263 
264 
265                     /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
266                     SIMINT_DBLTYPE PQ[3];
267                     PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
268                     PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
269                     PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
270                     SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
271                     R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
272                     R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
273 
274                     const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
275                     const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
276                     const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
277                     const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
278                     const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
279                     const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
280                     const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
281 
282                     // NOTE: Minus sign!
283                     const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
284                     SIMINT_DBLTYPE aop_PQ[3];
285                     aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
286                     aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
287                     aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
288 
289                     SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
290                     SIMINT_DBLTYPE aoq_PQ[3];
291                     aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
292                     aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
293                     aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
294                     // Put a minus sign here so we don't have to in RR routines
295                     a_over_q = SIMINT_NEG(a_over_q);
296 
297 
298                     //////////////////////////////////////////////
299                     // Fjt function section
300                     // Maximum v value: 18
301                     //////////////////////////////////////////////
302                     // The parameter to the Fjt function
303                     const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
304 
305 
306                     const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
307 
308 
309                     boys_F_split(PRIM_INT__s_s_s_s, F_x, 18);
310                     SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
311                     prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
312                     for(n = 0; n <= 18; n++)
313                         PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
314 
315                     //////////////////////////////////////////////
316                     // Primitive integrals: Vertical recurrance
317                     //////////////////////////////////////////////
318 
319                     const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
320                     const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
321                     const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
322                     const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
323                     const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
324                     const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
325                     const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
326                     const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
327                     const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
328                     const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
329                     const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
330                     const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
331                     const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
332                     const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
333                     const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
334                     const SIMINT_DBLTYPE vrr_const_8_over_2q = SIMINT_MUL(const_8, one_over_2q);
335                     const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
336                     const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
337                     const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
338                     const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
339                     const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
340                     const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
341                     const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
342                     const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
343                     const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
344 
345 
346 
347                     // Forming PRIM_INT__p_s_s_s[18 * 3];
348                     for(n = 0; n < 18; ++n)  // loop over orders of auxiliary function
349                     {
350 
351                         PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
352                         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]);
353 
354                         PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
355                         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]);
356 
357                         PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
358                         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]);
359 
360                     }
361 
362 
363 
364                     // Forming PRIM_INT__d_s_s_s[17 * 6];
365                     for(n = 0; n < 17; ++n)  // loop over orders of auxiliary function
366                     {
367 
368                         PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
369                         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]);
370                         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]);
371 
372                         PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
373                         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]);
374 
375                         PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
376                         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]);
377 
378                         PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
379                         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]);
380                         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]);
381 
382                         PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
383                         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]);
384 
385                         PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
386                         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]);
387                         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]);
388 
389                     }
390 
391 
392 
393                     // Forming PRIM_INT__f_s_s_s[16 * 10];
394                     for(n = 0; n < 16; ++n)  // loop over orders of auxiliary function
395                     {
396 
397                         PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
398                         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]);
399                         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]);
400 
401                         PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
402                         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]);
403 
404                         PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
405                         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]);
406 
407                         PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
408                         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]);
409 
410                         PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
411                         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]);
412 
413                         PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
414                         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]);
415 
416                         PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
417                         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]);
418                         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]);
419 
420                         PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
421                         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]);
422 
423                         PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
424                         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]);
425 
426                         PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
427                         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]);
428                         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]);
429 
430                     }
431 
432 
433                     VRR_I_g_s_s_s(
434                             PRIM_INT__g_s_s_s,
435                             PRIM_INT__f_s_s_s,
436                             PRIM_INT__d_s_s_s,
437                             P_PA,
438                             a_over_p,
439                             aop_PQ,
440                             one_over_2p,
441                             15);
442 
443 
444                     VRR_I_h_s_s_s(
445                             PRIM_INT__h_s_s_s,
446                             PRIM_INT__g_s_s_s,
447                             PRIM_INT__f_s_s_s,
448                             P_PA,
449                             a_over_p,
450                             aop_PQ,
451                             one_over_2p,
452                             14);
453 
454 
455                     ostei_general_vrr1_I(6, 13,
456                             one_over_2p, a_over_p, aop_PQ, P_PA,
457                             PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
458 
459 
460                     ostei_general_vrr1_I(7, 12,
461                             one_over_2p, a_over_p, aop_PQ, P_PA,
462                             PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
463 
464 
465                     ostei_general_vrr_K(7, 0, 1, 0, 9,
466                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
467                             PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
468 
469 
470                     ostei_general_vrr_K(6, 0, 1, 0, 9,
471                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
472                             PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
473 
474 
475                     ostei_general_vrr_K(7, 0, 2, 0, 8,
476                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
477                             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);
478 
479 
480                     ostei_general_vrr_K(5, 0, 1, 0, 9,
481                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
482                             PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
483 
484 
485                     ostei_general_vrr_K(6, 0, 2, 0, 8,
486                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
487                             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);
488 
489 
490                     ostei_general_vrr_K(7, 0, 3, 0, 7,
491                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
492                             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);
493 
494 
495                     VRR_K_g_s_p_s(
496                             PRIM_INT__g_s_p_s,
497                             PRIM_INT__g_s_s_s,
498                             PRIM_INT__f_s_s_s,
499                             Q_PA,
500                             aoq_PQ,
501                             one_over_2pq,
502                             9);
503 
504 
505                     ostei_general_vrr_K(5, 0, 2, 0, 8,
506                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
507                             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);
508 
509 
510                     ostei_general_vrr_K(6, 0, 3, 0, 7,
511                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
512                             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);
513 
514 
515                     ostei_general_vrr_K(7, 0, 4, 0, 6,
516                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
517                             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);
518 
519 
520                     VRR_K_f_s_p_s(
521                             PRIM_INT__f_s_p_s,
522                             PRIM_INT__f_s_s_s,
523                             PRIM_INT__d_s_s_s,
524                             Q_PA,
525                             aoq_PQ,
526                             one_over_2pq,
527                             9);
528 
529 
530                     ostei_general_vrr_K(4, 0, 2, 0, 8,
531                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
532                             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);
533 
534 
535                     ostei_general_vrr_K(5, 0, 3, 0, 7,
536                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
537                             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);
538 
539 
540                     ostei_general_vrr_K(6, 0, 4, 0, 6,
541                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
542                             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);
543 
544 
545                     ostei_general_vrr_K(7, 0, 5, 0, 5,
546                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
547                             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);
548 
549 
550 
551                     // Forming PRIM_INT__d_s_p_s[9 * 18];
552                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
553                     {
554 
555                         PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
556                         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]);
557                         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]);
558 
559                         PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
560                         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]);
561 
562                         PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
563                         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]);
564 
565                         PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
566                         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]);
567                         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]);
568 
569                         PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
570                         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]);
571                         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]);
572 
573                         PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
574                         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]);
575 
576                         PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
577                         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]);
578                         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]);
579 
580                         PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
581                         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]);
582 
583                         PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
584                         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]);
585                         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]);
586 
587                         PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
588                         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]);
589 
590                         PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
591                         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]);
592                         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]);
593 
594                         PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
595                         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]);
596 
597                         PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
598                         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]);
599 
600                         PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
601                         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]);
602                         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]);
603 
604                         PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
605                         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]);
606                         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]);
607 
608                         PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
609                         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]);
610 
611                         PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
612                         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]);
613 
614                         PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
615                         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]);
616                         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]);
617 
618                     }
619 
620 
621                     VRR_K_f_s_d_s(
622                             PRIM_INT__f_s_d_s,
623                             PRIM_INT__f_s_p_s,
624                             PRIM_INT__f_s_s_s,
625                             PRIM_INT__d_s_p_s,
626                             Q_PA,
627                             a_over_q,
628                             aoq_PQ,
629                             one_over_2pq,
630                             one_over_2q,
631                             8);
632 
633 
634                     ostei_general_vrr_K(4, 0, 3, 0, 7,
635                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
636                             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);
637 
638 
639                     ostei_general_vrr_K(5, 0, 4, 0, 6,
640                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
641                             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);
642 
643 
644                     ostei_general_vrr_K(6, 0, 5, 0, 5,
645                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
646                             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);
647 
648 
649                     ostei_general_vrr_K(7, 0, 6, 0, 4,
650                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
651                             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);
652 
653 
654 
655                     // Forming PRIM_INT__p_s_p_s[9 * 9];
656                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
657                     {
658 
659                         PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
660                         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]);
661                         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]);
662 
663                         PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
664                         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]);
665 
666                         PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
667                         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]);
668 
669                         PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
670                         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]);
671 
672                         PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
673                         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]);
674                         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]);
675 
676                         PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
677                         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]);
678 
679                         PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
680                         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]);
681 
682                         PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
683                         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]);
684 
685                         PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
686                         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]);
687                         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]);
688 
689                     }
690 
691 
692                     VRR_K_d_s_d_s(
693                             PRIM_INT__d_s_d_s,
694                             PRIM_INT__d_s_p_s,
695                             PRIM_INT__d_s_s_s,
696                             PRIM_INT__p_s_p_s,
697                             Q_PA,
698                             a_over_q,
699                             aoq_PQ,
700                             one_over_2pq,
701                             one_over_2q,
702                             8);
703 
704 
705                     ostei_general_vrr_K(3, 0, 3, 0, 7,
706                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
707                             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);
708 
709 
710                     ostei_general_vrr_K(4, 0, 4, 0, 6,
711                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
712                             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);
713 
714 
715                     ostei_general_vrr_K(5, 0, 5, 0, 5,
716                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
717                             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);
718 
719 
720                     ostei_general_vrr_K(6, 0, 6, 0, 4,
721                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
722                             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);
723 
724 
725                     ostei_general_vrr_K(7, 0, 7, 0, 3,
726                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
727                             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);
728 
729 
730 
731                     // Forming PRIM_INT__s_s_p_s[9 * 3];
732                     for(n = 0; n < 9; ++n)  // loop over orders of auxiliary function
733                     {
734 
735                         PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
736                         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]);
737 
738                         PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
739                         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]);
740 
741                         PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
742                         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]);
743 
744                     }
745 
746 
747 
748                     // Forming PRIM_INT__p_s_d_s[8 * 18];
749                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
750                     {
751 
752                         PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
753                         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]);
754                         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]);
755                         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]);
756 
757                         PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
758                         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]);
759                         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]);
760 
761                         PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
762                         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]);
763                         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]);
764 
765                         PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
766                         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]);
767                         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]);
768 
769                         PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
770                         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]);
771                         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]);
772                         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]);
773 
774                         PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
775                         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]);
776                         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]);
777 
778                         PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
779                         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]);
780                         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]);
781 
782                         PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
783                         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]);
784                         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]);
785 
786                         PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
787                         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]);
788                         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]);
789                         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]);
790 
791                     }
792 
793 
794                     VRR_K_d_s_f_s(
795                             PRIM_INT__d_s_f_s,
796                             PRIM_INT__d_s_d_s,
797                             PRIM_INT__d_s_p_s,
798                             PRIM_INT__p_s_d_s,
799                             Q_PA,
800                             a_over_q,
801                             aoq_PQ,
802                             one_over_2pq,
803                             one_over_2q,
804                             7);
805 
806 
807                     ostei_general_vrr_K(3, 0, 4, 0, 6,
808                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
809                             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);
810 
811 
812                     ostei_general_vrr_K(4, 0, 5, 0, 5,
813                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
814                             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);
815 
816 
817                     ostei_general_vrr_K(5, 0, 6, 0, 4,
818                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
819                             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);
820 
821 
822                     ostei_general_vrr_K(6, 0, 7, 0, 3,
823                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
824                             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);
825 
826 
827                     ostei_general_vrr_K(7, 0, 8, 0, 2,
828                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
829                             PRIM_INT__k_s_k_s, PRIM_INT__k_s_i_s, NULL, PRIM_INT__i_s_k_s, NULL, PRIM_INT__k_s_l_s);
830 
831 
832                     ostei_general_vrr1_I(8, 11,
833                             one_over_2p, a_over_p, aop_PQ, P_PA,
834                             PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
835 
836 
837                     ostei_general_vrr_K(8, 0, 1, 0, 9,
838                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
839                             PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
840 
841 
842                     ostei_general_vrr_K(8, 0, 2, 0, 8,
843                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
844                             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);
845 
846 
847                     ostei_general_vrr_K(8, 0, 3, 0, 7,
848                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
849                             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);
850 
851 
852                     ostei_general_vrr_K(8, 0, 4, 0, 6,
853                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
854                             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);
855 
856 
857                     ostei_general_vrr_K(8, 0, 5, 0, 5,
858                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
859                             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);
860 
861 
862                     ostei_general_vrr_K(8, 0, 6, 0, 4,
863                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
864                             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);
865 
866 
867                     ostei_general_vrr_K(8, 0, 7, 0, 3,
868                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
869                             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);
870 
871 
872 
873                     // Forming PRIM_INT__s_s_d_s[8 * 6];
874                     for(n = 0; n < 8; ++n)  // loop over orders of auxiliary function
875                     {
876 
877                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
878                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 0]);
879                         PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 0]);
880 
881                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
882                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_d_s[n * 6 + 3]);
883                         PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 3]);
884 
885                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
886                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_d_s[n * 6 + 5]);
887                         PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_FMADD( vrr_const_1_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_s_s[(n+1) * 1 + 0], PRIM_INT__s_s_s_s[n * 1 + 0]), PRIM_INT__s_s_d_s[n * 6 + 5]);
888 
889                     }
890 
891 
892                     VRR_K_p_s_f_s(
893                             PRIM_INT__p_s_f_s,
894                             PRIM_INT__p_s_d_s,
895                             PRIM_INT__p_s_p_s,
896                             PRIM_INT__s_s_d_s,
897                             Q_PA,
898                             a_over_q,
899                             aoq_PQ,
900                             one_over_2pq,
901                             one_over_2q,
902                             7);
903 
904 
905                     ostei_general_vrr_K(2, 0, 4, 0, 6,
906                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
907                             PRIM_INT__d_s_f_s, PRIM_INT__d_s_d_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
908 
909 
910                     ostei_general_vrr_K(3, 0, 5, 0, 5,
911                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
912                             PRIM_INT__f_s_g_s, PRIM_INT__f_s_f_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
913 
914 
915                     ostei_general_vrr_K(4, 0, 6, 0, 4,
916                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
917                             PRIM_INT__g_s_h_s, PRIM_INT__g_s_g_s, NULL, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_i_s);
918 
919 
920                     ostei_general_vrr_K(5, 0, 7, 0, 3,
921                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
922                             PRIM_INT__h_s_i_s, PRIM_INT__h_s_h_s, NULL, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_k_s);
923 
924 
925                     ostei_general_vrr_K(6, 0, 8, 0, 2,
926                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
927                             PRIM_INT__i_s_k_s, PRIM_INT__i_s_i_s, NULL, PRIM_INT__h_s_k_s, NULL, PRIM_INT__i_s_l_s);
928 
929 
930                     ostei_general_vrr_K(7, 0, 9, 0, 1,
931                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
932                             PRIM_INT__k_s_l_s, PRIM_INT__k_s_k_s, NULL, PRIM_INT__i_s_l_s, NULL, PRIM_INT__k_s_m_s);
933 
934 
935                     ostei_general_vrr_K(8, 0, 8, 0, 2,
936                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
937                             PRIM_INT__l_s_k_s, PRIM_INT__l_s_i_s, NULL, PRIM_INT__k_s_k_s, NULL, PRIM_INT__l_s_l_s);
938 
939 
940                     ostei_general_vrr1_I(9, 10,
941                             one_over_2p, a_over_p, aop_PQ, P_PA,
942                             PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
943 
944 
945                     ostei_general_vrr_K(9, 0, 1, 0, 9,
946                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
947                             PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
948 
949 
950                     ostei_general_vrr_K(9, 0, 2, 0, 8,
951                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
952                             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);
953 
954 
955                     ostei_general_vrr_K(9, 0, 3, 0, 7,
956                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
957                             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);
958 
959 
960                     ostei_general_vrr_K(9, 0, 4, 0, 6,
961                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
962                             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);
963 
964 
965                     ostei_general_vrr_K(9, 0, 5, 0, 5,
966                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
967                             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);
968 
969 
970                     ostei_general_vrr_K(9, 0, 6, 0, 4,
971                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
972                             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);
973 
974 
975                     ostei_general_vrr_K(9, 0, 7, 0, 3,
976                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
977                             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);
978 
979 
980                     ostei_general_vrr_K(8, 0, 9, 0, 1,
981                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
982                             PRIM_INT__l_s_l_s, PRIM_INT__l_s_k_s, NULL, PRIM_INT__k_s_l_s, NULL, PRIM_INT__l_s_m_s);
983 
984 
985                     ostei_general_vrr_K(9, 0, 8, 0, 2,
986                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
987                             PRIM_INT__m_s_k_s, PRIM_INT__m_s_i_s, NULL, PRIM_INT__l_s_k_s, NULL, PRIM_INT__m_s_l_s);
988 
989 
990                     ostei_general_vrr_K(9, 0, 9, 0, 1,
991                             one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
992                             PRIM_INT__m_s_l_s, PRIM_INT__m_s_k_s, NULL, PRIM_INT__l_s_l_s, NULL, PRIM_INT__m_s_m_s);
993 
994 
995 
996 
997                     ////////////////////////////////////
998                     // Accumulate contracted integrals
999                     ////////////////////////////////////
1000                     if(lastoffset == 0)
1001                     {
1002                         contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1003                         contract_all(1620, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1004                         contract_all(1980, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
1005                         contract_all(1620, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1006                         contract_all(2025, PRIM_INT__l_s_l_s, PRIM_PTR_INT__l_s_l_s);
1007                         contract_all(2475, PRIM_INT__l_s_m_s, PRIM_PTR_INT__l_s_m_s);
1008                         contract_all(1980, PRIM_INT__m_s_k_s, PRIM_PTR_INT__m_s_k_s);
1009                         contract_all(2475, PRIM_INT__m_s_l_s, PRIM_PTR_INT__m_s_l_s);
1010                         contract_all(3025, PRIM_INT__m_s_m_s, PRIM_PTR_INT__m_s_m_s);
1011                     }
1012                     else
1013                     {
1014                         contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1015                         contract(1620, shelloffsets, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1016                         contract(1980, shelloffsets, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
1017                         contract(1620, shelloffsets, PRIM_INT__l_s_k_s, PRIM_PTR_INT__l_s_k_s);
1018                         contract(2025, shelloffsets, PRIM_INT__l_s_l_s, PRIM_PTR_INT__l_s_l_s);
1019                         contract(2475, shelloffsets, PRIM_INT__l_s_m_s, PRIM_PTR_INT__l_s_m_s);
1020                         contract(1980, shelloffsets, PRIM_INT__m_s_k_s, PRIM_PTR_INT__m_s_k_s);
1021                         contract(2475, shelloffsets, PRIM_INT__m_s_l_s, PRIM_PTR_INT__m_s_l_s);
1022                         contract(3025, shelloffsets, PRIM_INT__m_s_m_s, PRIM_PTR_INT__m_s_m_s);
1023                         PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
1024                         PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
1025                         PRIM_PTR_INT__k_s_m_s += lastoffset*1980;
1026                         PRIM_PTR_INT__l_s_k_s += lastoffset*1620;
1027                         PRIM_PTR_INT__l_s_l_s += lastoffset*2025;
1028                         PRIM_PTR_INT__l_s_m_s += lastoffset*2475;
1029                         PRIM_PTR_INT__m_s_k_s += lastoffset*1980;
1030                         PRIM_PTR_INT__m_s_l_s += lastoffset*2475;
1031                         PRIM_PTR_INT__m_s_m_s += lastoffset*3025;
1032                     }
1033 
1034                 }  // close loop over j
1035             }  // close loop over i
1036 
1037             //Advance to the next batch
1038             jstart = SIMINT_SIMD_ROUND(jend);
1039 
1040             //////////////////////////////////////////////
1041             // Contracted integrals: Horizontal recurrance
1042             //////////////////////////////////////////////
1043 
1044 
1045             const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
1046 
1047 
1048             for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
1049             {
1050                 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
1051 
1052                 // set up HRR pointers
1053                 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
1054                 double const * restrict HRR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
1055                 double const * restrict HRR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
1056                 double const * restrict HRR_INT__l_s_k_s = INT__l_s_k_s + abcd * 1620;
1057                 double const * restrict HRR_INT__l_s_l_s = INT__l_s_l_s + abcd * 2025;
1058                 double const * restrict HRR_INT__l_s_m_s = INT__l_s_m_s + abcd * 2475;
1059                 double const * restrict HRR_INT__m_s_k_s = INT__m_s_k_s + abcd * 1980;
1060                 double const * restrict HRR_INT__m_s_l_s = INT__m_s_l_s + abcd * 2475;
1061                 double const * restrict HRR_INT__m_s_m_s = INT__m_s_m_s + abcd * 3025;
1062                 double * restrict HRR_INT__k_d_k_d = INT__k_d_k_d + real_abcd * 46656;
1063 
1064                 // form INT__k_p_k_s
1065                 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);
1066 
1067                 // form INT__k_p_l_s
1068                 ostei_general_hrr_J(7, 1, 8, 0, hAB, HRR_INT__l_s_l_s, HRR_INT__k_s_l_s, HRR_INT__k_p_l_s);
1069 
1070                 // form INT__k_p_m_s
1071                 ostei_general_hrr_J(7, 1, 9, 0, hAB, HRR_INT__l_s_m_s, HRR_INT__k_s_m_s, HRR_INT__k_p_m_s);
1072 
1073                 // form INT__l_p_k_s
1074                 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);
1075 
1076                 // form INT__l_p_l_s
1077                 ostei_general_hrr_J(8, 1, 8, 0, hAB, HRR_INT__m_s_l_s, HRR_INT__l_s_l_s, HRR_INT__l_p_l_s);
1078 
1079                 // form INT__l_p_m_s
1080                 ostei_general_hrr_J(8, 1, 9, 0, hAB, HRR_INT__m_s_m_s, HRR_INT__l_s_m_s, HRR_INT__l_p_m_s);
1081 
1082                 // form INT__k_d_k_s
1083                 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);
1084 
1085                 // form INT__k_d_l_s
1086                 ostei_general_hrr_J(7, 2, 8, 0, hAB, HRR_INT__l_p_l_s, HRR_INT__k_p_l_s, HRR_INT__k_d_l_s);
1087 
1088                 // form INT__k_d_m_s
1089                 ostei_general_hrr_J(7, 2, 9, 0, hAB, HRR_INT__l_p_m_s, HRR_INT__k_p_m_s, HRR_INT__k_d_m_s);
1090 
1091                 // form INT__k_d_k_p
1092                 ostei_general_hrr_L(7, 2, 7, 1, hCD, HRR_INT__k_d_l_s, HRR_INT__k_d_k_s, HRR_INT__k_d_k_p);
1093 
1094                 // form INT__k_d_l_p
1095                 ostei_general_hrr_L(7, 2, 8, 1, hCD, HRR_INT__k_d_m_s, HRR_INT__k_d_l_s, HRR_INT__k_d_l_p);
1096 
1097                 // form INT__k_d_k_d
1098                 ostei_general_hrr_L(7, 2, 7, 2, hCD, HRR_INT__k_d_l_p, HRR_INT__k_d_k_p, HRR_INT__k_d_k_d);
1099 
1100 
1101             }  // close HRR loop
1102 
1103 
1104         }   // close loop cdbatch
1105 
1106         istart = iend;
1107     }  // close loop over ab
1108 
1109     return P.nshell12_clip * Q.nshell12_clip;
1110 }
1111 
ostei_d_k_k_d(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_k_k_d)1112 int ostei_d_k_k_d(struct simint_multi_shellpair const P,
1113                   struct simint_multi_shellpair const Q,
1114                   double screen_tol,
1115                   double * const restrict work,
1116                   double * const restrict INT__d_k_k_d)
1117 {
1118     double P_AB[3*P.nshell12];
1119     struct simint_multi_shellpair P_tmp = P;
1120     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
1121     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
1122     P_tmp.AB_x = P_AB;
1123     P_tmp.AB_y = P_AB + P.nshell12;
1124     P_tmp.AB_z = P_AB + 2*P.nshell12;
1125 
1126     for(int i = 0; i < P.nshell12; i++)
1127     {
1128         P_tmp.AB_x[i] = -P.AB_x[i];
1129         P_tmp.AB_y[i] = -P.AB_y[i];
1130         P_tmp.AB_z[i] = -P.AB_z[i];
1131     }
1132 
1133     int ret = ostei_k_d_k_d(P_tmp, Q, screen_tol, work, INT__d_k_k_d);
1134     double buffer[46656] SIMINT_ALIGN_ARRAY_DBL;
1135 
1136     for(int q = 0; q < ret; q++)
1137     {
1138         int idx = 0;
1139         for(int a = 0; a < 6; ++a)
1140         for(int b = 0; b < 36; ++b)
1141         for(int c = 0; c < 36; ++c)
1142         for(int d = 0; d < 6; ++d)
1143             buffer[idx++] = INT__d_k_k_d[q*46656+b*1296+a*216+c*6+d];
1144 
1145         memcpy(INT__d_k_k_d+q*46656, buffer, 46656*sizeof(double));
1146     }
1147 
1148     return ret;
1149 }
1150 
ostei_k_d_d_k(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_d_d_k)1151 int ostei_k_d_d_k(struct simint_multi_shellpair const P,
1152                   struct simint_multi_shellpair const Q,
1153                   double screen_tol,
1154                   double * const restrict work,
1155                   double * const restrict INT__k_d_d_k)
1156 {
1157     double Q_AB[3*Q.nshell12];
1158     struct simint_multi_shellpair Q_tmp = Q;
1159     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1160     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1161     Q_tmp.AB_x = Q_AB;
1162     Q_tmp.AB_y = Q_AB + Q.nshell12;
1163     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1164 
1165     for(int i = 0; i < Q.nshell12; i++)
1166     {
1167         Q_tmp.AB_x[i] = -Q.AB_x[i];
1168         Q_tmp.AB_y[i] = -Q.AB_y[i];
1169         Q_tmp.AB_z[i] = -Q.AB_z[i];
1170     }
1171 
1172     int ret = ostei_k_d_k_d(P, Q_tmp, screen_tol, work, INT__k_d_d_k);
1173     double buffer[46656] SIMINT_ALIGN_ARRAY_DBL;
1174 
1175     for(int q = 0; q < ret; q++)
1176     {
1177         int idx = 0;
1178         for(int a = 0; a < 36; ++a)
1179         for(int b = 0; b < 6; ++b)
1180         for(int c = 0; c < 6; ++c)
1181         for(int d = 0; d < 36; ++d)
1182             buffer[idx++] = INT__k_d_d_k[q*46656+a*1296+b*216+d*6+c];
1183 
1184         memcpy(INT__k_d_d_k+q*46656, buffer, 46656*sizeof(double));
1185     }
1186 
1187     return ret;
1188 }
1189 
ostei_d_k_d_k(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__d_k_d_k)1190 int ostei_d_k_d_k(struct simint_multi_shellpair const P,
1191                   struct simint_multi_shellpair const Q,
1192                   double screen_tol,
1193                   double * const restrict work,
1194                   double * const restrict INT__d_k_d_k)
1195 {
1196     double P_AB[3*P.nshell12];
1197     struct simint_multi_shellpair P_tmp = P;
1198     P_tmp.PA_x = P.PB_x;  P_tmp.PA_y = P.PB_y;  P_tmp.PA_z = P.PB_z;
1199     P_tmp.PB_x = P.PA_x;  P_tmp.PB_y = P.PA_y;  P_tmp.PB_z = P.PA_z;
1200     P_tmp.AB_x = P_AB;
1201     P_tmp.AB_y = P_AB + P.nshell12;
1202     P_tmp.AB_z = P_AB + 2*P.nshell12;
1203 
1204     for(int i = 0; i < P.nshell12; i++)
1205     {
1206         P_tmp.AB_x[i] = -P.AB_x[i];
1207         P_tmp.AB_y[i] = -P.AB_y[i];
1208         P_tmp.AB_z[i] = -P.AB_z[i];
1209     }
1210 
1211     double Q_AB[3*Q.nshell12];
1212     struct simint_multi_shellpair Q_tmp = Q;
1213     Q_tmp.PA_x = Q.PB_x;  Q_tmp.PA_y = Q.PB_y;  Q_tmp.PA_z = Q.PB_z;
1214     Q_tmp.PB_x = Q.PA_x;  Q_tmp.PB_y = Q.PA_y;  Q_tmp.PB_z = Q.PA_z;
1215     Q_tmp.AB_x = Q_AB;
1216     Q_tmp.AB_y = Q_AB + Q.nshell12;
1217     Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1218 
1219     for(int i = 0; i < Q.nshell12; i++)
1220     {
1221         Q_tmp.AB_x[i] = -Q.AB_x[i];
1222         Q_tmp.AB_y[i] = -Q.AB_y[i];
1223         Q_tmp.AB_z[i] = -Q.AB_z[i];
1224     }
1225 
1226     int ret = ostei_k_d_k_d(P_tmp, Q_tmp, screen_tol, work, INT__d_k_d_k);
1227     double buffer[46656] SIMINT_ALIGN_ARRAY_DBL;
1228 
1229     for(int q = 0; q < ret; q++)
1230     {
1231         int idx = 0;
1232         for(int a = 0; a < 6; ++a)
1233         for(int b = 0; b < 36; ++b)
1234         for(int c = 0; c < 6; ++c)
1235         for(int d = 0; d < 36; ++d)
1236             buffer[idx++] = INT__d_k_d_k[q*46656+b*1296+a*216+d*6+c];
1237 
1238         memcpy(INT__d_k_d_k+q*46656, buffer, 46656*sizeof(double));
1239     }
1240 
1241     return ret;
1242 }
1243 
1244