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_h_h_h_p(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__h_h_h_p)8 int ostei_h_h_h_p(struct simint_multi_shellpair const P,
9 struct simint_multi_shellpair const Q,
10 double screen_tol,
11 double * const restrict work,
12 double * const restrict INT__h_h_h_p)
13 {
14
15 SIMINT_ASSUME_ALIGN_DBL(work);
16 SIMINT_ASSUME_ALIGN_DBL(INT__h_h_h_p);
17 int ab, cd, abcd;
18 int istart, jstart;
19 int iprimcd, nprim_icd, icd;
20 const int check_screen = (screen_tol > 0.0);
21 int i, j;
22 int n;
23 int not_screened;
24 int real_abcd;
25 int iket;
26 int ibra;
27
28 // partition workspace
29 double * const INT__h_s_h_s = work + (SIMINT_NSHELL_SIMD * 0);
30 double * const INT__h_s_i_s = work + (SIMINT_NSHELL_SIMD * 441);
31 double * const INT__i_s_h_s = work + (SIMINT_NSHELL_SIMD * 1029);
32 double * const INT__i_s_i_s = work + (SIMINT_NSHELL_SIMD * 1617);
33 double * const INT__k_s_h_s = work + (SIMINT_NSHELL_SIMD * 2401);
34 double * const INT__k_s_i_s = work + (SIMINT_NSHELL_SIMD * 3157);
35 double * const INT__l_s_h_s = work + (SIMINT_NSHELL_SIMD * 4165);
36 double * const INT__l_s_i_s = work + (SIMINT_NSHELL_SIMD * 5110);
37 double * const INT__m_s_h_s = work + (SIMINT_NSHELL_SIMD * 6370);
38 double * const INT__m_s_i_s = work + (SIMINT_NSHELL_SIMD * 7525);
39 double * const INT__n_s_h_s = work + (SIMINT_NSHELL_SIMD * 9065);
40 double * const INT__n_s_i_s = work + (SIMINT_NSHELL_SIMD * 10451);
41 SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*12299);
42 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
43 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 17;
44 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 35;
45 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 83;
46 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 137;
47 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_s_s = primwork + 227;
48 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 317;
49 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 425;
50 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 605;
51 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_s_s = primwork + 845;
52 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_p_s = primwork + 985;
53 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 1165;
54 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 1465;
55 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 1865;
56 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_s_s = primwork + 2315;
57 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_p_s = primwork + 2510;
58 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_d_s = primwork + 2780;
59 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 3230;
60 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 3830;
61 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 4505;
62 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_s_s = primwork + 5135;
63 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_p_s = primwork + 5387;
64 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_d_s = primwork + 5765;
65 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_f_s = primwork + 6395;
66 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 7235;
67 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 8180;
68 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 9062;
69 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_s_s = primwork + 9650;
70 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_p_s = primwork + 9958;
71 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_d_s = primwork + 10462;
72 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_f_s = primwork + 11302;
73 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_g_s = primwork + 12422;
74 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 13682;
75 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 14858;
76 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_s_s = primwork + 15642;
77 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_p_s = primwork + 16002;
78 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_d_s = primwork + 16650;
79 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_f_s = primwork + 17730;
80 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_g_s = primwork + 19170;
81 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_h_s = primwork + 20790;
82 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 22302;
83 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_s_s = primwork + 23310;
84 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_p_s = primwork + 23715;
85 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_d_s = primwork + 24525;
86 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_f_s = primwork + 25875;
87 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_g_s = primwork + 27675;
88 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_h_s = primwork + 29700;
89 SIMINT_DBLTYPE * const restrict PRIM_INT__l_s_i_s = primwork + 31590;
90 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_s_s = primwork + 32850;
91 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_p_s = primwork + 33290;
92 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_d_s = primwork + 34280;
93 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_f_s = primwork + 35930;
94 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_g_s = primwork + 38130;
95 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_h_s = primwork + 40605;
96 SIMINT_DBLTYPE * const restrict PRIM_INT__m_s_i_s = primwork + 42915;
97 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_s_s = primwork + 44455;
98 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_p_s = primwork + 44917;
99 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_d_s = primwork + 46105;
100 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_f_s = primwork + 48085;
101 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_g_s = primwork + 50725;
102 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_h_s = primwork + 53695;
103 SIMINT_DBLTYPE * const restrict PRIM_INT__n_s_i_s = primwork + 56467;
104 double * const hrrwork = (double *)(primwork + 58315);
105 double * const HRR_INT__h_p_h_s = hrrwork + 0;
106 double * const HRR_INT__h_p_i_s = hrrwork + 1323;
107 double * const HRR_INT__h_d_h_s = hrrwork + 3087;
108 double * const HRR_INT__h_d_i_s = hrrwork + 5733;
109 double * const HRR_INT__h_f_h_s = hrrwork + 9261;
110 double * const HRR_INT__h_f_i_s = hrrwork + 13671;
111 double * const HRR_INT__h_g_h_s = hrrwork + 19551;
112 double * const HRR_INT__h_g_i_s = hrrwork + 26166;
113 double * const HRR_INT__h_h_h_s = hrrwork + 34986;
114 double * const HRR_INT__h_h_i_s = hrrwork + 44247;
115 double * const HRR_INT__i_p_h_s = hrrwork + 56595;
116 double * const HRR_INT__i_p_i_s = hrrwork + 58359;
117 double * const HRR_INT__i_d_h_s = hrrwork + 60711;
118 double * const HRR_INT__i_d_i_s = hrrwork + 64239;
119 double * const HRR_INT__i_f_h_s = hrrwork + 68943;
120 double * const HRR_INT__i_f_i_s = hrrwork + 74823;
121 double * const HRR_INT__i_g_h_s = hrrwork + 82663;
122 double * const HRR_INT__i_g_i_s = hrrwork + 91483;
123 double * const HRR_INT__k_p_h_s = hrrwork + 103243;
124 double * const HRR_INT__k_p_i_s = hrrwork + 105511;
125 double * const HRR_INT__k_d_h_s = hrrwork + 108535;
126 double * const HRR_INT__k_d_i_s = hrrwork + 113071;
127 double * const HRR_INT__k_f_h_s = hrrwork + 119119;
128 double * const HRR_INT__k_f_i_s = hrrwork + 126679;
129 double * const HRR_INT__l_p_h_s = hrrwork + 136759;
130 double * const HRR_INT__l_p_i_s = hrrwork + 139594;
131 double * const HRR_INT__l_d_h_s = hrrwork + 143374;
132 double * const HRR_INT__l_d_i_s = hrrwork + 149044;
133 double * const HRR_INT__m_p_h_s = hrrwork + 156604;
134 double * const HRR_INT__m_p_i_s = hrrwork + 160069;
135
136
137 // Create constants
138 const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
139 const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
140 const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
141 const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
142 const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
143 const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
144 const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
145 const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
146 const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
147 const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
148 const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
149
150
151 ////////////////////////////////////////
152 // Loop over shells and primitives
153 ////////////////////////////////////////
154
155 real_abcd = 0;
156 istart = 0;
157 for(ab = 0; ab < P.nshell12_clip; ++ab)
158 {
159 const int iend = istart + P.nprim12[ab];
160
161 cd = 0;
162 jstart = 0;
163
164 for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
165 {
166 const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
167 int jend = jstart;
168 for(i = 0; i < nshellbatch; i++)
169 jend += Q.nprim12[cd+i];
170
171 // Clear the beginning of the workspace (where we are accumulating integrals)
172 memset(work, 0, SIMINT_NSHELL_SIMD * 12299 * sizeof(double));
173 abcd = 0;
174
175
176 for(i = istart; i < iend; ++i)
177 {
178 SIMINT_DBLTYPE bra_screen_max; // only used if check_screen
179
180 if(check_screen)
181 {
182 // Skip this whole thing if always insignificant
183 if((P.screen[i] * Q.screen_max) < screen_tol)
184 continue;
185 bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
186 }
187
188 icd = 0;
189 iprimcd = 0;
190 nprim_icd = Q.nprim12[cd];
191 double * restrict PRIM_PTR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
192 double * restrict PRIM_PTR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
193 double * restrict PRIM_PTR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
194 double * restrict PRIM_PTR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
195 double * restrict PRIM_PTR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
196 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
197 double * restrict PRIM_PTR_INT__l_s_h_s = INT__l_s_h_s + abcd * 945;
198 double * restrict PRIM_PTR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
199 double * restrict PRIM_PTR_INT__m_s_h_s = INT__m_s_h_s + abcd * 1155;
200 double * restrict PRIM_PTR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
201 double * restrict PRIM_PTR_INT__n_s_h_s = INT__n_s_h_s + abcd * 1386;
202 double * restrict PRIM_PTR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
203
204
205
206 // Load these one per loop over i
207 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
208 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
209 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
210
211 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
212
213 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
214 {
215 // calculate the shell offsets
216 // these are the offset from the shell pointed to by cd
217 // for each element
218 int shelloffsets[SIMINT_SIMD_LEN] = {0};
219 int lastoffset = 0;
220 const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
221
222 if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
223 {
224 // Handle if the first element of the vector is a new shell
225 if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
226 {
227 nprim_icd += Q.nprim12[cd + (++icd)];
228 PRIM_PTR_INT__h_s_h_s += 441;
229 PRIM_PTR_INT__h_s_i_s += 588;
230 PRIM_PTR_INT__i_s_h_s += 588;
231 PRIM_PTR_INT__i_s_i_s += 784;
232 PRIM_PTR_INT__k_s_h_s += 756;
233 PRIM_PTR_INT__k_s_i_s += 1008;
234 PRIM_PTR_INT__l_s_h_s += 945;
235 PRIM_PTR_INT__l_s_i_s += 1260;
236 PRIM_PTR_INT__m_s_h_s += 1155;
237 PRIM_PTR_INT__m_s_i_s += 1540;
238 PRIM_PTR_INT__n_s_h_s += 1386;
239 PRIM_PTR_INT__n_s_i_s += 1848;
240 }
241 iprimcd++;
242 for(n = 1; n < SIMINT_SIMD_LEN; ++n)
243 {
244 if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
245 {
246 shelloffsets[n] = shelloffsets[n-1] + 1;
247 lastoffset++;
248 nprim_icd += Q.nprim12[cd + (++icd)];
249 }
250 else
251 shelloffsets[n] = shelloffsets[n-1];
252 iprimcd++;
253 }
254 }
255 else
256 iprimcd += SIMINT_SIMD_LEN;
257
258 // Do we have to compute this vector (or has it been screened out)?
259 // (not_screened != 0 means we have to do this vector)
260 if(check_screen)
261 {
262 const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
263 if(vmax < screen_tol)
264 {
265 PRIM_PTR_INT__h_s_h_s += lastoffset*441;
266 PRIM_PTR_INT__h_s_i_s += lastoffset*588;
267 PRIM_PTR_INT__i_s_h_s += lastoffset*588;
268 PRIM_PTR_INT__i_s_i_s += lastoffset*784;
269 PRIM_PTR_INT__k_s_h_s += lastoffset*756;
270 PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
271 PRIM_PTR_INT__l_s_h_s += lastoffset*945;
272 PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
273 PRIM_PTR_INT__m_s_h_s += lastoffset*1155;
274 PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
275 PRIM_PTR_INT__n_s_h_s += lastoffset*1386;
276 PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
277 continue;
278 }
279 }
280
281 const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
282 const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
283 const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
284 const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
285
286
287 /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
288 SIMINT_DBLTYPE PQ[3];
289 PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
290 PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
291 PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
292 SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
293 R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
294 R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
295
296 const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
297 const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
298 const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
299 const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
300 const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
301 const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
302 const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
303
304 // NOTE: Minus sign!
305 const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
306 SIMINT_DBLTYPE aop_PQ[3];
307 aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
308 aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
309 aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
310
311 SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
312 SIMINT_DBLTYPE aoq_PQ[3];
313 aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
314 aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
315 aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
316 // Put a minus sign here so we don't have to in RR routines
317 a_over_q = SIMINT_NEG(a_over_q);
318
319
320 //////////////////////////////////////////////
321 // Fjt function section
322 // Maximum v value: 16
323 //////////////////////////////////////////////
324 // The parameter to the Fjt function
325 const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
326
327
328 const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
329
330
331 boys_F_split(PRIM_INT__s_s_s_s, F_x, 16);
332 SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
333 prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
334 for(n = 0; n <= 16; n++)
335 PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
336
337 //////////////////////////////////////////////
338 // Primitive integrals: Vertical recurrance
339 //////////////////////////////////////////////
340
341 const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
342 const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
343 const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
344 const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
345 const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
346 const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
347 const SIMINT_DBLTYPE vrr_const_7_over_2p = SIMINT_MUL(const_7, one_over_2p);
348 const SIMINT_DBLTYPE vrr_const_8_over_2p = SIMINT_MUL(const_8, one_over_2p);
349 const SIMINT_DBLTYPE vrr_const_9_over_2p = SIMINT_MUL(const_9, one_over_2p);
350 const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
351 const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
352 const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
353 const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
354 const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
355 const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
356 const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
357 const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
358 const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
359 const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
360 const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
361 const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
362 const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
363 const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
364 const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
365
366
367
368 // Forming PRIM_INT__p_s_s_s[16 * 3];
369 for(n = 0; n < 16; ++n) // loop over orders of auxiliary function
370 {
371
372 PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
373 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]);
374
375 PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
376 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]);
377
378 PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
379 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]);
380
381 }
382
383
384
385 // Forming PRIM_INT__d_s_s_s[15 * 6];
386 for(n = 0; n < 15; ++n) // loop over orders of auxiliary function
387 {
388
389 PRIM_INT__d_s_s_s[n * 6 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
390 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]);
391 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]);
392
393 PRIM_INT__d_s_s_s[n * 6 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
394 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]);
395
396 PRIM_INT__d_s_s_s[n * 6 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
397 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]);
398
399 PRIM_INT__d_s_s_s[n * 6 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
400 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]);
401 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]);
402
403 PRIM_INT__d_s_s_s[n * 6 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
404 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]);
405
406 PRIM_INT__d_s_s_s[n * 6 + 5] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
407 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]);
408 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]);
409
410 }
411
412
413
414 // Forming PRIM_INT__f_s_s_s[14 * 10];
415 for(n = 0; n < 14; ++n) // loop over orders of auxiliary function
416 {
417
418 PRIM_INT__f_s_s_s[n * 10 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
419 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]);
420 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]);
421
422 PRIM_INT__f_s_s_s[n * 10 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
423 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]);
424
425 PRIM_INT__f_s_s_s[n * 10 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
426 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]);
427
428 PRIM_INT__f_s_s_s[n * 10 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
429 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]);
430
431 PRIM_INT__f_s_s_s[n * 10 + 4] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
432 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]);
433
434 PRIM_INT__f_s_s_s[n * 10 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
435 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]);
436
437 PRIM_INT__f_s_s_s[n * 10 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
438 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]);
439 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]);
440
441 PRIM_INT__f_s_s_s[n * 10 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
442 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]);
443
444 PRIM_INT__f_s_s_s[n * 10 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
445 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]);
446
447 PRIM_INT__f_s_s_s[n * 10 + 9] = SIMINT_MUL(P_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
448 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]);
449 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]);
450
451 }
452
453
454 VRR_I_g_s_s_s(
455 PRIM_INT__g_s_s_s,
456 PRIM_INT__f_s_s_s,
457 PRIM_INT__d_s_s_s,
458 P_PA,
459 a_over_p,
460 aop_PQ,
461 one_over_2p,
462 13);
463
464
465 VRR_I_h_s_s_s(
466 PRIM_INT__h_s_s_s,
467 PRIM_INT__g_s_s_s,
468 PRIM_INT__f_s_s_s,
469 P_PA,
470 a_over_p,
471 aop_PQ,
472 one_over_2p,
473 12);
474
475
476 ostei_general_vrr_K(5, 0, 1, 0, 6,
477 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
478 PRIM_INT__h_s_s_s, NULL, NULL, PRIM_INT__g_s_s_s, NULL, PRIM_INT__h_s_p_s);
479
480
481 VRR_K_g_s_p_s(
482 PRIM_INT__g_s_p_s,
483 PRIM_INT__g_s_s_s,
484 PRIM_INT__f_s_s_s,
485 Q_PA,
486 aoq_PQ,
487 one_over_2pq,
488 6);
489
490
491 ostei_general_vrr_K(5, 0, 2, 0, 5,
492 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
493 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);
494
495
496 VRR_K_f_s_p_s(
497 PRIM_INT__f_s_p_s,
498 PRIM_INT__f_s_s_s,
499 PRIM_INT__d_s_s_s,
500 Q_PA,
501 aoq_PQ,
502 one_over_2pq,
503 6);
504
505
506 ostei_general_vrr_K(4, 0, 2, 0, 5,
507 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
508 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);
509
510
511 ostei_general_vrr_K(5, 0, 3, 0, 4,
512 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
513 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);
514
515
516
517 // Forming PRIM_INT__d_s_p_s[6 * 18];
518 for(n = 0; n < 6; ++n) // loop over orders of auxiliary function
519 {
520
521 PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 0]);
522 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]);
523 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]);
524
525 PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 0]);
526 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]);
527
528 PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 0]);
529 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]);
530
531 PRIM_INT__d_s_p_s[n * 18 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 1]);
532 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]);
533 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]);
534
535 PRIM_INT__d_s_p_s[n * 18 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 1]);
536 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]);
537 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]);
538
539 PRIM_INT__d_s_p_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 1]);
540 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]);
541
542 PRIM_INT__d_s_p_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 2]);
543 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]);
544 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]);
545
546 PRIM_INT__d_s_p_s[n * 18 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 2]);
547 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]);
548
549 PRIM_INT__d_s_p_s[n * 18 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 2]);
550 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]);
551 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]);
552
553 PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 3]);
554 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]);
555
556 PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 3]);
557 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]);
558 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]);
559
560 PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 3]);
561 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]);
562
563 PRIM_INT__d_s_p_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 4]);
564 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]);
565
566 PRIM_INT__d_s_p_s[n * 18 + 13] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 4]);
567 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]);
568 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]);
569
570 PRIM_INT__d_s_p_s[n * 18 + 14] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 4]);
571 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]);
572 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]);
573
574 PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(Q_PA[0], PRIM_INT__d_s_s_s[n * 6 + 5]);
575 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]);
576
577 PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(Q_PA[1], PRIM_INT__d_s_s_s[n * 6 + 5]);
578 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]);
579
580 PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__d_s_s_s[n * 6 + 5]);
581 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]);
582 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]);
583
584 }
585
586
587 VRR_K_f_s_d_s(
588 PRIM_INT__f_s_d_s,
589 PRIM_INT__f_s_p_s,
590 PRIM_INT__f_s_s_s,
591 PRIM_INT__d_s_p_s,
592 Q_PA,
593 a_over_q,
594 aoq_PQ,
595 one_over_2pq,
596 one_over_2q,
597 5);
598
599
600 ostei_general_vrr_K(4, 0, 3, 0, 4,
601 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
602 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);
603
604
605 ostei_general_vrr_K(5, 0, 4, 0, 3,
606 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
607 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);
608
609
610
611 // Forming PRIM_INT__p_s_p_s[6 * 9];
612 for(n = 0; n < 6; ++n) // loop over orders of auxiliary function
613 {
614
615 PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 0]);
616 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]);
617 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]);
618
619 PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 0]);
620 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]);
621
622 PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 0]);
623 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]);
624
625 PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 1]);
626 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]);
627
628 PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 1]);
629 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]);
630 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]);
631
632 PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 1]);
633 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]);
634
635 PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_s_s[n * 3 + 2]);
636 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]);
637
638 PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_s_s[n * 3 + 2]);
639 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]);
640
641 PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_s_s[n * 3 + 2]);
642 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]);
643 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]);
644
645 }
646
647
648 VRR_K_d_s_d_s(
649 PRIM_INT__d_s_d_s,
650 PRIM_INT__d_s_p_s,
651 PRIM_INT__d_s_s_s,
652 PRIM_INT__p_s_p_s,
653 Q_PA,
654 a_over_q,
655 aoq_PQ,
656 one_over_2pq,
657 one_over_2q,
658 5);
659
660
661 ostei_general_vrr_K(3, 0, 3, 0, 4,
662 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
663 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);
664
665
666 ostei_general_vrr_K(4, 0, 4, 0, 3,
667 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
668 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);
669
670
671 ostei_general_vrr_K(5, 0, 5, 0, 2,
672 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
673 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);
674
675
676
677 // Forming PRIM_INT__s_s_p_s[6 * 3];
678 for(n = 0; n < 6; ++n) // loop over orders of auxiliary function
679 {
680
681 PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
682 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]);
683
684 PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
685 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]);
686
687 PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
688 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]);
689
690 }
691
692
693
694 // Forming PRIM_INT__p_s_d_s[5 * 18];
695 for(n = 0; n < 5; ++n) // loop over orders of auxiliary function
696 {
697
698 PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
699 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]);
700 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]);
701 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]);
702
703 PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 1]);
704 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]);
705 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]);
706
707 PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 2]);
708 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]);
709 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]);
710
711 PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 3]);
712 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]);
713 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]);
714
715 PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
716 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]);
717 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]);
718 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]);
719
720 PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 5]);
721 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]);
722 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]);
723
724 PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(Q_PA[0], PRIM_INT__p_s_p_s[n * 9 + 6]);
725 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]);
726 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]);
727
728 PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(Q_PA[1], PRIM_INT__p_s_p_s[n * 9 + 7]);
729 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]);
730 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]);
731
732 PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(Q_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
733 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]);
734 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]);
735 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]);
736
737 }
738
739
740 VRR_K_d_s_f_s(
741 PRIM_INT__d_s_f_s,
742 PRIM_INT__d_s_d_s,
743 PRIM_INT__d_s_p_s,
744 PRIM_INT__p_s_d_s,
745 Q_PA,
746 a_over_q,
747 aoq_PQ,
748 one_over_2pq,
749 one_over_2q,
750 4);
751
752
753 ostei_general_vrr_K(3, 0, 4, 0, 3,
754 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
755 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);
756
757
758 ostei_general_vrr_K(4, 0, 5, 0, 2,
759 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
760 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);
761
762
763 ostei_general_vrr_K(5, 0, 6, 0, 1,
764 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
765 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);
766
767
768 ostei_general_vrr1_I(6, 11,
769 one_over_2p, a_over_p, aop_PQ, P_PA,
770 PRIM_INT__h_s_s_s, PRIM_INT__g_s_s_s, PRIM_INT__i_s_s_s);
771
772
773 ostei_general_vrr_K(6, 0, 1, 0, 6,
774 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
775 PRIM_INT__i_s_s_s, NULL, NULL, PRIM_INT__h_s_s_s, NULL, PRIM_INT__i_s_p_s);
776
777
778 ostei_general_vrr_K(6, 0, 2, 0, 5,
779 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
780 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);
781
782
783 ostei_general_vrr_K(6, 0, 3, 0, 4,
784 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
785 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);
786
787
788 ostei_general_vrr_K(6, 0, 4, 0, 3,
789 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
790 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);
791
792
793 ostei_general_vrr_K(6, 0, 5, 0, 2,
794 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
795 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);
796
797
798 ostei_general_vrr_K(6, 0, 6, 0, 1,
799 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
800 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);
801
802
803 ostei_general_vrr1_I(7, 10,
804 one_over_2p, a_over_p, aop_PQ, P_PA,
805 PRIM_INT__i_s_s_s, PRIM_INT__h_s_s_s, PRIM_INT__k_s_s_s);
806
807
808 ostei_general_vrr_K(7, 0, 1, 0, 6,
809 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
810 PRIM_INT__k_s_s_s, NULL, NULL, PRIM_INT__i_s_s_s, NULL, PRIM_INT__k_s_p_s);
811
812
813 ostei_general_vrr_K(7, 0, 2, 0, 5,
814 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
815 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);
816
817
818 ostei_general_vrr_K(7, 0, 3, 0, 4,
819 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
820 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);
821
822
823 ostei_general_vrr_K(7, 0, 4, 0, 3,
824 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
825 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);
826
827
828 ostei_general_vrr_K(7, 0, 5, 0, 2,
829 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
830 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);
831
832
833 ostei_general_vrr_K(7, 0, 6, 0, 1,
834 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
835 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);
836
837
838 ostei_general_vrr1_I(8, 9,
839 one_over_2p, a_over_p, aop_PQ, P_PA,
840 PRIM_INT__k_s_s_s, PRIM_INT__i_s_s_s, PRIM_INT__l_s_s_s);
841
842
843 ostei_general_vrr_K(8, 0, 1, 0, 6,
844 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
845 PRIM_INT__l_s_s_s, NULL, NULL, PRIM_INT__k_s_s_s, NULL, PRIM_INT__l_s_p_s);
846
847
848 ostei_general_vrr_K(8, 0, 2, 0, 5,
849 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
850 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);
851
852
853 ostei_general_vrr_K(8, 0, 3, 0, 4,
854 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
855 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);
856
857
858 ostei_general_vrr_K(8, 0, 4, 0, 3,
859 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
860 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);
861
862
863 ostei_general_vrr_K(8, 0, 5, 0, 2,
864 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
865 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);
866
867
868 ostei_general_vrr_K(8, 0, 6, 0, 1,
869 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
870 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);
871
872
873 ostei_general_vrr1_I(9, 8,
874 one_over_2p, a_over_p, aop_PQ, P_PA,
875 PRIM_INT__l_s_s_s, PRIM_INT__k_s_s_s, PRIM_INT__m_s_s_s);
876
877
878 ostei_general_vrr_K(9, 0, 1, 0, 6,
879 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
880 PRIM_INT__m_s_s_s, NULL, NULL, PRIM_INT__l_s_s_s, NULL, PRIM_INT__m_s_p_s);
881
882
883 ostei_general_vrr_K(9, 0, 2, 0, 5,
884 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
885 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);
886
887
888 ostei_general_vrr_K(9, 0, 3, 0, 4,
889 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
890 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);
891
892
893 ostei_general_vrr_K(9, 0, 4, 0, 3,
894 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
895 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);
896
897
898 ostei_general_vrr_K(9, 0, 5, 0, 2,
899 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
900 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);
901
902
903 ostei_general_vrr_K(9, 0, 6, 0, 1,
904 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
905 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);
906
907
908 ostei_general_vrr1_I(10, 7,
909 one_over_2p, a_over_p, aop_PQ, P_PA,
910 PRIM_INT__m_s_s_s, PRIM_INT__l_s_s_s, PRIM_INT__n_s_s_s);
911
912
913 ostei_general_vrr_K(10, 0, 1, 0, 6,
914 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
915 PRIM_INT__n_s_s_s, NULL, NULL, PRIM_INT__m_s_s_s, NULL, PRIM_INT__n_s_p_s);
916
917
918 ostei_general_vrr_K(10, 0, 2, 0, 5,
919 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
920 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);
921
922
923 ostei_general_vrr_K(10, 0, 3, 0, 4,
924 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
925 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);
926
927
928 ostei_general_vrr_K(10, 0, 4, 0, 3,
929 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
930 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);
931
932
933 ostei_general_vrr_K(10, 0, 5, 0, 2,
934 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
935 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);
936
937
938 ostei_general_vrr_K(10, 0, 6, 0, 1,
939 one_over_2q, a_over_q, one_over_2pq, aoq_PQ, Q_PA,
940 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);
941
942
943
944
945 ////////////////////////////////////
946 // Accumulate contracted integrals
947 ////////////////////////////////////
948 if(lastoffset == 0)
949 {
950 contract_all(441, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
951 contract_all(588, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
952 contract_all(588, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
953 contract_all(784, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
954 contract_all(756, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
955 contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
956 contract_all(945, PRIM_INT__l_s_h_s, PRIM_PTR_INT__l_s_h_s);
957 contract_all(1260, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
958 contract_all(1155, PRIM_INT__m_s_h_s, PRIM_PTR_INT__m_s_h_s);
959 contract_all(1540, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
960 contract_all(1386, PRIM_INT__n_s_h_s, PRIM_PTR_INT__n_s_h_s);
961 contract_all(1848, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
962 }
963 else
964 {
965 contract(441, shelloffsets, PRIM_INT__h_s_h_s, PRIM_PTR_INT__h_s_h_s);
966 contract(588, shelloffsets, PRIM_INT__h_s_i_s, PRIM_PTR_INT__h_s_i_s);
967 contract(588, shelloffsets, PRIM_INT__i_s_h_s, PRIM_PTR_INT__i_s_h_s);
968 contract(784, shelloffsets, PRIM_INT__i_s_i_s, PRIM_PTR_INT__i_s_i_s);
969 contract(756, shelloffsets, PRIM_INT__k_s_h_s, PRIM_PTR_INT__k_s_h_s);
970 contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
971 contract(945, shelloffsets, PRIM_INT__l_s_h_s, PRIM_PTR_INT__l_s_h_s);
972 contract(1260, shelloffsets, PRIM_INT__l_s_i_s, PRIM_PTR_INT__l_s_i_s);
973 contract(1155, shelloffsets, PRIM_INT__m_s_h_s, PRIM_PTR_INT__m_s_h_s);
974 contract(1540, shelloffsets, PRIM_INT__m_s_i_s, PRIM_PTR_INT__m_s_i_s);
975 contract(1386, shelloffsets, PRIM_INT__n_s_h_s, PRIM_PTR_INT__n_s_h_s);
976 contract(1848, shelloffsets, PRIM_INT__n_s_i_s, PRIM_PTR_INT__n_s_i_s);
977 PRIM_PTR_INT__h_s_h_s += lastoffset*441;
978 PRIM_PTR_INT__h_s_i_s += lastoffset*588;
979 PRIM_PTR_INT__i_s_h_s += lastoffset*588;
980 PRIM_PTR_INT__i_s_i_s += lastoffset*784;
981 PRIM_PTR_INT__k_s_h_s += lastoffset*756;
982 PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
983 PRIM_PTR_INT__l_s_h_s += lastoffset*945;
984 PRIM_PTR_INT__l_s_i_s += lastoffset*1260;
985 PRIM_PTR_INT__m_s_h_s += lastoffset*1155;
986 PRIM_PTR_INT__m_s_i_s += lastoffset*1540;
987 PRIM_PTR_INT__n_s_h_s += lastoffset*1386;
988 PRIM_PTR_INT__n_s_i_s += lastoffset*1848;
989 }
990
991 } // close loop over j
992 } // close loop over i
993
994 //Advance to the next batch
995 jstart = SIMINT_SIMD_ROUND(jend);
996
997 //////////////////////////////////////////////
998 // Contracted integrals: Horizontal recurrance
999 //////////////////////////////////////////////
1000
1001
1002 const double hAB[3] = { P.AB_x[ab], P.AB_y[ab], P.AB_z[ab] };
1003
1004
1005 for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
1006 {
1007 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
1008
1009 // set up HRR pointers
1010 double const * restrict HRR_INT__h_s_h_s = INT__h_s_h_s + abcd * 441;
1011 double const * restrict HRR_INT__h_s_i_s = INT__h_s_i_s + abcd * 588;
1012 double const * restrict HRR_INT__i_s_h_s = INT__i_s_h_s + abcd * 588;
1013 double const * restrict HRR_INT__i_s_i_s = INT__i_s_i_s + abcd * 784;
1014 double const * restrict HRR_INT__k_s_h_s = INT__k_s_h_s + abcd * 756;
1015 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
1016 double const * restrict HRR_INT__l_s_h_s = INT__l_s_h_s + abcd * 945;
1017 double const * restrict HRR_INT__l_s_i_s = INT__l_s_i_s + abcd * 1260;
1018 double const * restrict HRR_INT__m_s_h_s = INT__m_s_h_s + abcd * 1155;
1019 double const * restrict HRR_INT__m_s_i_s = INT__m_s_i_s + abcd * 1540;
1020 double const * restrict HRR_INT__n_s_h_s = INT__n_s_h_s + abcd * 1386;
1021 double const * restrict HRR_INT__n_s_i_s = INT__n_s_i_s + abcd * 1848;
1022 double * restrict HRR_INT__h_h_h_p = INT__h_h_h_p + real_abcd * 27783;
1023
1024 // form INT__h_p_h_s
1025 ostei_general_hrr_J(5, 1, 5, 0, hAB, HRR_INT__i_s_h_s, HRR_INT__h_s_h_s, HRR_INT__h_p_h_s);
1026
1027 // form INT__h_p_i_s
1028 ostei_general_hrr_J(5, 1, 6, 0, hAB, HRR_INT__i_s_i_s, HRR_INT__h_s_i_s, HRR_INT__h_p_i_s);
1029
1030 // form INT__i_p_h_s
1031 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);
1032
1033 // form INT__i_p_i_s
1034 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);
1035
1036 // form INT__k_p_h_s
1037 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);
1038
1039 // form INT__k_p_i_s
1040 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);
1041
1042 // form INT__l_p_h_s
1043 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);
1044
1045 // form INT__l_p_i_s
1046 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);
1047
1048 // form INT__m_p_h_s
1049 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);
1050
1051 // form INT__m_p_i_s
1052 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);
1053
1054 // form INT__h_d_h_s
1055 ostei_general_hrr_J(5, 2, 5, 0, hAB, HRR_INT__i_p_h_s, HRR_INT__h_p_h_s, HRR_INT__h_d_h_s);
1056
1057 // form INT__h_d_i_s
1058 ostei_general_hrr_J(5, 2, 6, 0, hAB, HRR_INT__i_p_i_s, HRR_INT__h_p_i_s, HRR_INT__h_d_i_s);
1059
1060 // form INT__i_d_h_s
1061 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);
1062
1063 // form INT__i_d_i_s
1064 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);
1065
1066 // form INT__k_d_h_s
1067 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);
1068
1069 // form INT__k_d_i_s
1070 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);
1071
1072 // form INT__l_d_h_s
1073 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);
1074
1075 // form INT__l_d_i_s
1076 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);
1077
1078 // form INT__h_f_h_s
1079 ostei_general_hrr_J(5, 3, 5, 0, hAB, HRR_INT__i_d_h_s, HRR_INT__h_d_h_s, HRR_INT__h_f_h_s);
1080
1081 // form INT__h_f_i_s
1082 ostei_general_hrr_J(5, 3, 6, 0, hAB, HRR_INT__i_d_i_s, HRR_INT__h_d_i_s, HRR_INT__h_f_i_s);
1083
1084 // form INT__i_f_h_s
1085 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);
1086
1087 // form INT__i_f_i_s
1088 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);
1089
1090 // form INT__k_f_h_s
1091 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);
1092
1093 // form INT__k_f_i_s
1094 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);
1095
1096 // form INT__h_g_h_s
1097 ostei_general_hrr_J(5, 4, 5, 0, hAB, HRR_INT__i_f_h_s, HRR_INT__h_f_h_s, HRR_INT__h_g_h_s);
1098
1099 // form INT__h_g_i_s
1100 ostei_general_hrr_J(5, 4, 6, 0, hAB, HRR_INT__i_f_i_s, HRR_INT__h_f_i_s, HRR_INT__h_g_i_s);
1101
1102 // form INT__i_g_h_s
1103 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);
1104
1105 // form INT__i_g_i_s
1106 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);
1107
1108 // form INT__h_h_h_s
1109 ostei_general_hrr_J(5, 5, 5, 0, hAB, HRR_INT__i_g_h_s, HRR_INT__h_g_h_s, HRR_INT__h_h_h_s);
1110
1111 // form INT__h_h_i_s
1112 ostei_general_hrr_J(5, 5, 6, 0, hAB, HRR_INT__i_g_i_s, HRR_INT__h_g_i_s, HRR_INT__h_h_i_s);
1113
1114 // form INT__h_h_h_p
1115 ostei_general_hrr_L(5, 5, 5, 1, hCD, HRR_INT__h_h_i_s, HRR_INT__h_h_h_s, HRR_INT__h_h_h_p);
1116
1117
1118 } // close HRR loop
1119
1120
1121 } // close loop cdbatch
1122
1123 istart = iend;
1124 } // close loop over ab
1125
1126 return P.nshell12_clip * Q.nshell12_clip;
1127 }
1128
ostei_h_h_p_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_h_p_h)1129 int ostei_h_h_p_h(struct simint_multi_shellpair const P,
1130 struct simint_multi_shellpair const Q,
1131 double screen_tol,
1132 double * const restrict work,
1133 double * const restrict INT__h_h_p_h)
1134 {
1135 double Q_AB[3*Q.nshell12];
1136 struct simint_multi_shellpair Q_tmp = Q;
1137 Q_tmp.PA_x = Q.PB_x; Q_tmp.PA_y = Q.PB_y; Q_tmp.PA_z = Q.PB_z;
1138 Q_tmp.PB_x = Q.PA_x; Q_tmp.PB_y = Q.PA_y; Q_tmp.PB_z = Q.PA_z;
1139 Q_tmp.AB_x = Q_AB;
1140 Q_tmp.AB_y = Q_AB + Q.nshell12;
1141 Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1142
1143 for(int i = 0; i < Q.nshell12; i++)
1144 {
1145 Q_tmp.AB_x[i] = -Q.AB_x[i];
1146 Q_tmp.AB_y[i] = -Q.AB_y[i];
1147 Q_tmp.AB_z[i] = -Q.AB_z[i];
1148 }
1149
1150 int ret = ostei_h_h_h_p(P, Q_tmp, screen_tol, work, INT__h_h_p_h);
1151 double buffer[27783] SIMINT_ALIGN_ARRAY_DBL;
1152
1153 for(int q = 0; q < ret; q++)
1154 {
1155 int idx = 0;
1156 for(int a = 0; a < 21; ++a)
1157 for(int b = 0; b < 21; ++b)
1158 for(int c = 0; c < 3; ++c)
1159 for(int d = 0; d < 21; ++d)
1160 buffer[idx++] = INT__h_h_p_h[q*27783+a*1323+b*63+d*3+c];
1161
1162 memcpy(INT__h_h_p_h+q*27783, buffer, 27783*sizeof(double));
1163 }
1164
1165 return ret;
1166 }
1167
1168