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_s_k_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__k_s_k_h)8 int ostei_k_s_k_h(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_s_k_h)
13 {
14
15 SIMINT_ASSUME_ALIGN_DBL(work);
16 SIMINT_ASSUME_ALIGN_DBL(INT__k_s_k_h);
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 ibra;
26
27 // partition workspace
28 double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 0);
29 double * const INT__k_s_l_s = work + (SIMINT_NSHELL_SIMD * 1296);
30 double * const INT__k_s_m_s = work + (SIMINT_NSHELL_SIMD * 2916);
31 double * const INT__k_s_n_s = work + (SIMINT_NSHELL_SIMD * 4896);
32 double * const INT__k_s_o_s = work + (SIMINT_NSHELL_SIMD * 7272);
33 double * const INT__k_s_q_s = work + (SIMINT_NSHELL_SIMD * 10080);
34 SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*13356);
35 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
36 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 20;
37 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 77;
38 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 185;
39 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 355;
40 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 595;
41 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_i_s = primwork + 910;
42 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_k_s = primwork + 1302;
43 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_l_s = primwork + 1770;
44 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_m_s = primwork + 2310;
45 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_n_s = primwork + 2915;
46 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_o_s = primwork + 3575;
47 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_q_s = primwork + 4277;
48 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 5005;
49 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 5068;
50 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 5194;
51 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 5404;
52 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 5719;
53 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_i_s = primwork + 6160;
54 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_k_s = primwork + 6748;
55 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_l_s = primwork + 7504;
56 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_m_s = primwork + 8449;
57 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_n_s = primwork + 9604;
58 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_o_s = primwork + 10990;
59 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_q_s = primwork + 12628;
60 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 14539;
61 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 14755;
62 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 15115;
63 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 15655;
64 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_i_s = primwork + 16411;
65 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_k_s = primwork + 17419;
66 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_l_s = primwork + 18715;
67 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_m_s = primwork + 20335;
68 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_n_s = primwork + 22315;
69 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_o_s = primwork + 24691;
70 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_q_s = primwork + 27499;
71 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 30775;
72 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 31275;
73 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 32025;
74 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_i_s = primwork + 33075;
75 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_k_s = primwork + 34475;
76 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_l_s = primwork + 36275;
77 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_m_s = primwork + 38525;
78 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_n_s = primwork + 41275;
79 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_o_s = primwork + 44575;
80 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_q_s = primwork + 48475;
81 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 53025;
82 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 53925;
83 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 55185;
84 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_k_s = primwork + 56865;
85 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_l_s = primwork + 59025;
86 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_m_s = primwork + 61725;
87 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_n_s = primwork + 65025;
88 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_o_s = primwork + 68985;
89 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_q_s = primwork + 73665;
90 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 79125;
91 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 80448;
92 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 82212;
93 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_l_s = primwork + 84480;
94 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_m_s = primwork + 87315;
95 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_n_s = primwork + 90780;
96 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_o_s = primwork + 94938;
97 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_q_s = primwork + 99852;
98 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 105585;
99 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 107153;
100 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_l_s = primwork + 109169;
101 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_m_s = primwork + 111689;
102 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_n_s = primwork + 114769;
103 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_o_s = primwork + 118465;
104 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_q_s = primwork + 122833;
105 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 127929;
106 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_l_s = primwork + 129225;
107 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_m_s = primwork + 130845;
108 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_n_s = primwork + 132825;
109 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_o_s = primwork + 135201;
110 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_q_s = primwork + 138009;
111 double * const hrrwork = (double *)(primwork + 141285);
112 double * const HRR_INT__k_s_k_p = hrrwork + 0;
113 double * const HRR_INT__k_s_k_d = hrrwork + 3888;
114 double * const HRR_INT__k_s_k_f = hrrwork + 11664;
115 double * const HRR_INT__k_s_k_g = hrrwork + 24624;
116 double * const HRR_INT__k_s_l_p = hrrwork + 44064;
117 double * const HRR_INT__k_s_l_d = hrrwork + 48924;
118 double * const HRR_INT__k_s_l_f = hrrwork + 58644;
119 double * const HRR_INT__k_s_l_g = hrrwork + 74844;
120 double * const HRR_INT__k_s_m_p = hrrwork + 99144;
121 double * const HRR_INT__k_s_m_d = hrrwork + 105084;
122 double * const HRR_INT__k_s_m_f = hrrwork + 116964;
123 double * const HRR_INT__k_s_n_p = hrrwork + 136764;
124 double * const HRR_INT__k_s_n_d = hrrwork + 143892;
125 double * const HRR_INT__k_s_o_p = hrrwork + 158148;
126
127
128 // Create constants
129 const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
130 const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
131 const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
132 const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
133 const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
134 const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
135 const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
136 const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
137 const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
138 const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
139 const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
140 const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
141 const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
142
143
144 ////////////////////////////////////////
145 // Loop over shells and primitives
146 ////////////////////////////////////////
147
148 real_abcd = 0;
149 istart = 0;
150 for(ab = 0; ab < P.nshell12_clip; ++ab)
151 {
152 const int iend = istart + P.nprim12[ab];
153
154 cd = 0;
155 jstart = 0;
156
157 for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
158 {
159 const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
160 int jend = jstart;
161 for(i = 0; i < nshellbatch; i++)
162 jend += Q.nprim12[cd+i];
163
164 // Clear the beginning of the workspace (where we are accumulating integrals)
165 memset(work, 0, SIMINT_NSHELL_SIMD * 13356 * sizeof(double));
166 abcd = 0;
167
168
169 for(i = istart; i < iend; ++i)
170 {
171 SIMINT_DBLTYPE bra_screen_max; // only used if check_screen
172
173 if(check_screen)
174 {
175 // Skip this whole thing if always insignificant
176 if((P.screen[i] * Q.screen_max) < screen_tol)
177 continue;
178 bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
179 }
180
181 icd = 0;
182 iprimcd = 0;
183 nprim_icd = Q.nprim12[cd];
184 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
185 double * restrict PRIM_PTR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
186 double * restrict PRIM_PTR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
187 double * restrict PRIM_PTR_INT__k_s_n_s = INT__k_s_n_s + abcd * 2376;
188 double * restrict PRIM_PTR_INT__k_s_o_s = INT__k_s_o_s + abcd * 2808;
189 double * restrict PRIM_PTR_INT__k_s_q_s = INT__k_s_q_s + abcd * 3276;
190
191
192
193 // Load these one per loop over i
194 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
195 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
196 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
197
198 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
199
200 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
201 {
202 // calculate the shell offsets
203 // these are the offset from the shell pointed to by cd
204 // for each element
205 int shelloffsets[SIMINT_SIMD_LEN] = {0};
206 int lastoffset = 0;
207 const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
208
209 if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
210 {
211 // Handle if the first element of the vector is a new shell
212 if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
213 {
214 nprim_icd += Q.nprim12[cd + (++icd)];
215 PRIM_PTR_INT__k_s_k_s += 1296;
216 PRIM_PTR_INT__k_s_l_s += 1620;
217 PRIM_PTR_INT__k_s_m_s += 1980;
218 PRIM_PTR_INT__k_s_n_s += 2376;
219 PRIM_PTR_INT__k_s_o_s += 2808;
220 PRIM_PTR_INT__k_s_q_s += 3276;
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__k_s_n_s += lastoffset*2376;
250 PRIM_PTR_INT__k_s_o_s += lastoffset*2808;
251 PRIM_PTR_INT__k_s_q_s += lastoffset*3276;
252 continue;
253 }
254 }
255
256 const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
257 const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
258 const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
259 const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
260
261
262 /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
263 SIMINT_DBLTYPE PQ[3];
264 PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
265 PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
266 PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
267 SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
268 R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
269 R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
270
271 const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
272 const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
273 const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
274 const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
275 const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
276 const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
277 const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
278
279 // NOTE: Minus sign!
280 const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
281 SIMINT_DBLTYPE aop_PQ[3];
282 aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
283 aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
284 aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
285
286 SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
287 SIMINT_DBLTYPE aoq_PQ[3];
288 aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
289 aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
290 aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
291 // Put a minus sign here so we don't have to in RR routines
292 a_over_q = SIMINT_NEG(a_over_q);
293
294
295 //////////////////////////////////////////////
296 // Fjt function section
297 // Maximum v value: 19
298 //////////////////////////////////////////////
299 // The parameter to the Fjt function
300 const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
301
302
303 const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
304
305
306 boys_F_split(PRIM_INT__s_s_s_s, F_x, 19);
307 SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
308 prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
309 for(n = 0; n <= 19; n++)
310 PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
311
312 //////////////////////////////////////////////
313 // Primitive integrals: Vertical recurrance
314 //////////////////////////////////////////////
315
316 const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
317 const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
318 const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
319 const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
320 const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
321 const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
322 const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
323 const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
324 const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
325 const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
326 const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
327 const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
328 const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
329 const SIMINT_DBLTYPE vrr_const_8_over_2q = SIMINT_MUL(const_8, one_over_2q);
330 const SIMINT_DBLTYPE vrr_const_9_over_2q = SIMINT_MUL(const_9, one_over_2q);
331 const SIMINT_DBLTYPE vrr_const_10_over_2q = SIMINT_MUL(const_10, one_over_2q);
332 const SIMINT_DBLTYPE vrr_const_11_over_2q = SIMINT_MUL(const_11, one_over_2q);
333 const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
334 const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
335 const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
336 const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
337 const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
338 const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
339 const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
340 const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
341 const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
342 const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
343 const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
344 const SIMINT_DBLTYPE vrr_const_12_over_2pq = SIMINT_MUL(const_12, one_over_2pq);
345
346
347
348 // Forming PRIM_INT__s_s_p_s[19 * 3];
349 for(n = 0; n < 19; ++n) // loop over orders of auxiliary function
350 {
351
352 PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
353 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]);
354
355 PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
356 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]);
357
358 PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
359 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]);
360
361 }
362
363
364
365 // Forming PRIM_INT__s_s_d_s[18 * 6];
366 for(n = 0; n < 18; ++n) // loop over orders of auxiliary function
367 {
368
369 PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
370 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]);
371 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]);
372
373 PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
374 PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 1]);
375
376 PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
377 PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_d_s[n * 6 + 2]);
378
379 PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
380 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]);
381 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]);
382
383 PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
384 PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_d_s[n * 6 + 4]);
385
386 PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
387 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]);
388 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]);
389
390 }
391
392
393
394 // Forming PRIM_INT__s_s_f_s[17 * 10];
395 for(n = 0; n < 17; ++n) // loop over orders of auxiliary function
396 {
397
398 PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
399 PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 0]);
400 PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__s_s_f_s[n * 10 + 0]);
401
402 PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
403 PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 1]);
404
405 PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
406 PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__s_s_f_s[n * 10 + 2]);
407
408 PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
409 PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 3]);
410
411 PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
412 PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__s_s_f_s[n * 10 + 4]);
413
414 PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
415 PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_FMADD( aoq_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 5]);
416
417 PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
418 PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 6]);
419 PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__s_s_f_s[n * 10 + 6]);
420
421 PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
422 PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__s_s_f_s[n * 10 + 7]);
423
424 PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
425 PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_FMADD( aoq_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 8]);
426
427 PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
428 PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( aoq_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__s_s_f_s[n * 10 + 9]);
429 PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_FMADD( vrr_const_2_over_2q, SIMINT_FMADD(a_over_q, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__s_s_f_s[n * 10 + 9]);
430
431 }
432
433
434 VRR_K_s_s_g_s(
435 PRIM_INT__s_s_g_s,
436 PRIM_INT__s_s_f_s,
437 PRIM_INT__s_s_d_s,
438 Q_PA,
439 a_over_q,
440 aoq_PQ,
441 one_over_2q,
442 16);
443
444
445 VRR_K_s_s_h_s(
446 PRIM_INT__s_s_h_s,
447 PRIM_INT__s_s_g_s,
448 PRIM_INT__s_s_f_s,
449 Q_PA,
450 a_over_q,
451 aoq_PQ,
452 one_over_2q,
453 15);
454
455
456 ostei_general_vrr1_K(6, 14,
457 one_over_2q, a_over_q, aoq_PQ, Q_PA,
458 PRIM_INT__s_s_h_s, PRIM_INT__s_s_g_s, PRIM_INT__s_s_i_s);
459
460
461 ostei_general_vrr1_K(7, 13,
462 one_over_2q, a_over_q, aoq_PQ, Q_PA,
463 PRIM_INT__s_s_i_s, PRIM_INT__s_s_h_s, PRIM_INT__s_s_k_s);
464
465
466 ostei_general_vrr_I(1, 0, 7, 0, 7,
467 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
468 PRIM_INT__s_s_k_s, NULL, NULL, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_k_s);
469
470
471 ostei_general_vrr_I(1, 0, 6, 0, 7,
472 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
473 PRIM_INT__s_s_i_s, NULL, NULL, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_i_s);
474
475
476 ostei_general_vrr_I(2, 0, 7, 0, 6,
477 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
478 PRIM_INT__p_s_k_s, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_i_s, NULL, PRIM_INT__d_s_k_s);
479
480
481 ostei_general_vrr_I(1, 0, 5, 0, 7,
482 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
483 PRIM_INT__s_s_h_s, NULL, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
484
485
486 ostei_general_vrr_I(2, 0, 6, 0, 6,
487 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
488 PRIM_INT__p_s_i_s, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_i_s);
489
490
491 ostei_general_vrr_I(3, 0, 7, 0, 5,
492 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
493 PRIM_INT__d_s_k_s, PRIM_INT__p_s_k_s, NULL, PRIM_INT__d_s_i_s, NULL, PRIM_INT__f_s_k_s);
494
495
496 VRR_I_p_s_g_s(
497 PRIM_INT__p_s_g_s,
498 PRIM_INT__s_s_g_s,
499 PRIM_INT__s_s_f_s,
500 P_PA,
501 aop_PQ,
502 one_over_2pq,
503 7);
504
505
506 ostei_general_vrr_I(2, 0, 5, 0, 6,
507 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
508 PRIM_INT__p_s_h_s, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_h_s);
509
510
511 ostei_general_vrr_I(3, 0, 6, 0, 5,
512 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
513 PRIM_INT__d_s_i_s, PRIM_INT__p_s_i_s, NULL, PRIM_INT__d_s_h_s, NULL, PRIM_INT__f_s_i_s);
514
515
516 ostei_general_vrr_I(4, 0, 7, 0, 4,
517 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
518 PRIM_INT__f_s_k_s, PRIM_INT__d_s_k_s, NULL, PRIM_INT__f_s_i_s, NULL, PRIM_INT__g_s_k_s);
519
520
521 VRR_I_p_s_f_s(
522 PRIM_INT__p_s_f_s,
523 PRIM_INT__s_s_f_s,
524 PRIM_INT__s_s_d_s,
525 P_PA,
526 aop_PQ,
527 one_over_2pq,
528 7);
529
530
531 ostei_general_vrr_I(2, 0, 4, 0, 6,
532 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
533 PRIM_INT__p_s_g_s, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_g_s);
534
535
536 ostei_general_vrr_I(3, 0, 5, 0, 5,
537 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
538 PRIM_INT__d_s_h_s, PRIM_INT__p_s_h_s, NULL, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_h_s);
539
540
541 ostei_general_vrr_I(4, 0, 6, 0, 4,
542 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
543 PRIM_INT__f_s_i_s, PRIM_INT__d_s_i_s, NULL, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_i_s);
544
545
546 ostei_general_vrr_I(5, 0, 7, 0, 3,
547 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
548 PRIM_INT__g_s_k_s, PRIM_INT__f_s_k_s, NULL, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_k_s);
549
550
551
552 // Forming PRIM_INT__p_s_d_s[7 * 18];
553 for(n = 0; n < 7; ++n) // loop over orders of auxiliary function
554 {
555
556 PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
557 PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
558 PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_d_s[n * 18 + 0]);
559
560 PRIM_INT__p_s_d_s[n * 18 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 1]);
561 PRIM_INT__p_s_d_s[n * 18 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 1]);
562 PRIM_INT__p_s_d_s[n * 18 + 1] = 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 + 1]);
563
564 PRIM_INT__p_s_d_s[n * 18 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 2]);
565 PRIM_INT__p_s_d_s[n * 18 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 2]);
566 PRIM_INT__p_s_d_s[n * 18 + 2] = 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 + 2]);
567
568 PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
569 PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 3]);
570
571 PRIM_INT__p_s_d_s[n * 18 + 4] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 4]);
572 PRIM_INT__p_s_d_s[n * 18 + 4] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 4]);
573
574 PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
575 PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 5]);
576
577 PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
578 PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 6]);
579
580 PRIM_INT__p_s_d_s[n * 18 + 7] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 1]);
581 PRIM_INT__p_s_d_s[n * 18 + 7] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 7]);
582 PRIM_INT__p_s_d_s[n * 18 + 7] = 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 + 7]);
583
584 PRIM_INT__p_s_d_s[n * 18 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 2]);
585 PRIM_INT__p_s_d_s[n * 18 + 8] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 8]);
586
587 PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
588 PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 9]);
589 PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_d_s[n * 18 + 9]);
590
591 PRIM_INT__p_s_d_s[n * 18 + 10] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 4]);
592 PRIM_INT__p_s_d_s[n * 18 + 10] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 10]);
593 PRIM_INT__p_s_d_s[n * 18 + 10] = 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 + 10]);
594
595 PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
596 PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 11]);
597
598 PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
599 PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 0], PRIM_INT__p_s_d_s[n * 18 + 12]);
600
601 PRIM_INT__p_s_d_s[n * 18 + 13] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
602 PRIM_INT__p_s_d_s[n * 18 + 13] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 1], PRIM_INT__p_s_d_s[n * 18 + 13]);
603
604 PRIM_INT__p_s_d_s[n * 18 + 14] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 2]);
605 PRIM_INT__p_s_d_s[n * 18 + 14] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 2], PRIM_INT__p_s_d_s[n * 18 + 14]);
606 PRIM_INT__p_s_d_s[n * 18 + 14] = 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 + 14]);
607
608 PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
609 PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 3], PRIM_INT__p_s_d_s[n * 18 + 15]);
610
611 PRIM_INT__p_s_d_s[n * 18 + 16] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 4]);
612 PRIM_INT__p_s_d_s[n * 18 + 16] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 4], PRIM_INT__p_s_d_s[n * 18 + 16]);
613 PRIM_INT__p_s_d_s[n * 18 + 16] = 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 + 16]);
614
615 PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
616 PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_d_s[(n+1) * 6 + 5], PRIM_INT__p_s_d_s[n * 18 + 17]);
617 PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_2_over_2pq, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_d_s[n * 18 + 17]);
618
619 }
620
621
622 VRR_I_d_s_f_s(
623 PRIM_INT__d_s_f_s,
624 PRIM_INT__p_s_f_s,
625 PRIM_INT__s_s_f_s,
626 PRIM_INT__p_s_d_s,
627 P_PA,
628 a_over_p,
629 aop_PQ,
630 one_over_2p,
631 one_over_2pq,
632 6);
633
634
635 ostei_general_vrr_I(3, 0, 4, 0, 5,
636 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
637 PRIM_INT__d_s_g_s, PRIM_INT__p_s_g_s, NULL, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_g_s);
638
639
640 ostei_general_vrr_I(4, 0, 5, 0, 4,
641 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
642 PRIM_INT__f_s_h_s, PRIM_INT__d_s_h_s, NULL, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_h_s);
643
644
645 ostei_general_vrr_I(5, 0, 6, 0, 3,
646 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
647 PRIM_INT__g_s_i_s, PRIM_INT__f_s_i_s, NULL, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_i_s);
648
649
650 ostei_general_vrr_I(6, 0, 7, 0, 2,
651 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
652 PRIM_INT__h_s_k_s, PRIM_INT__g_s_k_s, NULL, PRIM_INT__h_s_i_s, NULL, PRIM_INT__i_s_k_s);
653
654
655
656 // Forming PRIM_INT__p_s_p_s[7 * 9];
657 for(n = 0; n < 7; ++n) // loop over orders of auxiliary function
658 {
659
660 PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
661 PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 0]);
662 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]);
663
664 PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 1]);
665 PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 1]);
666
667 PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 2]);
668 PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 2]);
669
670 PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
671 PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 3]);
672
673 PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
674 PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 4]);
675 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]);
676
677 PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 2]);
678 PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 5]);
679
680 PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
681 PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__p_s_p_s[n * 9 + 6]);
682
683 PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
684 PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__p_s_p_s[n * 9 + 7]);
685
686 PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
687 PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__p_s_p_s[n * 9 + 8]);
688 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]);
689
690 }
691
692
693 VRR_I_d_s_d_s(
694 PRIM_INT__d_s_d_s,
695 PRIM_INT__p_s_d_s,
696 PRIM_INT__s_s_d_s,
697 PRIM_INT__p_s_p_s,
698 P_PA,
699 a_over_p,
700 aop_PQ,
701 one_over_2p,
702 one_over_2pq,
703 6);
704
705
706 ostei_general_vrr_I(3, 0, 3, 0, 5,
707 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
708 PRIM_INT__d_s_f_s, PRIM_INT__p_s_f_s, NULL, PRIM_INT__d_s_d_s, NULL, PRIM_INT__f_s_f_s);
709
710
711 ostei_general_vrr_I(4, 0, 4, 0, 4,
712 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
713 PRIM_INT__f_s_g_s, PRIM_INT__d_s_g_s, NULL, PRIM_INT__f_s_f_s, NULL, PRIM_INT__g_s_g_s);
714
715
716 ostei_general_vrr_I(5, 0, 5, 0, 3,
717 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
718 PRIM_INT__g_s_h_s, PRIM_INT__f_s_h_s, NULL, PRIM_INT__g_s_g_s, NULL, PRIM_INT__h_s_h_s);
719
720
721 ostei_general_vrr_I(6, 0, 6, 0, 2,
722 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
723 PRIM_INT__h_s_i_s, PRIM_INT__g_s_i_s, NULL, PRIM_INT__h_s_h_s, NULL, PRIM_INT__i_s_i_s);
724
725
726 ostei_general_vrr_I(7, 0, 7, 0, 1,
727 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
728 PRIM_INT__i_s_k_s, PRIM_INT__h_s_k_s, NULL, PRIM_INT__i_s_i_s, NULL, PRIM_INT__k_s_k_s);
729
730
731 ostei_general_vrr1_K(8, 12,
732 one_over_2q, a_over_q, aoq_PQ, Q_PA,
733 PRIM_INT__s_s_k_s, PRIM_INT__s_s_i_s, PRIM_INT__s_s_l_s);
734
735
736 ostei_general_vrr_I(1, 0, 8, 0, 7,
737 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
738 PRIM_INT__s_s_l_s, NULL, NULL, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_l_s);
739
740
741 ostei_general_vrr_I(2, 0, 8, 0, 6,
742 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
743 PRIM_INT__p_s_l_s, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_k_s, NULL, PRIM_INT__d_s_l_s);
744
745
746 ostei_general_vrr_I(3, 0, 8, 0, 5,
747 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
748 PRIM_INT__d_s_l_s, PRIM_INT__p_s_l_s, NULL, PRIM_INT__d_s_k_s, NULL, PRIM_INT__f_s_l_s);
749
750
751 ostei_general_vrr_I(4, 0, 8, 0, 4,
752 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
753 PRIM_INT__f_s_l_s, PRIM_INT__d_s_l_s, NULL, PRIM_INT__f_s_k_s, NULL, PRIM_INT__g_s_l_s);
754
755
756 ostei_general_vrr_I(5, 0, 8, 0, 3,
757 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
758 PRIM_INT__g_s_l_s, PRIM_INT__f_s_l_s, NULL, PRIM_INT__g_s_k_s, NULL, PRIM_INT__h_s_l_s);
759
760
761 ostei_general_vrr_I(6, 0, 8, 0, 2,
762 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
763 PRIM_INT__h_s_l_s, PRIM_INT__g_s_l_s, NULL, PRIM_INT__h_s_k_s, NULL, PRIM_INT__i_s_l_s);
764
765
766 ostei_general_vrr_I(7, 0, 8, 0, 1,
767 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
768 PRIM_INT__i_s_l_s, PRIM_INT__h_s_l_s, NULL, PRIM_INT__i_s_k_s, NULL, PRIM_INT__k_s_l_s);
769
770
771 ostei_general_vrr1_K(9, 11,
772 one_over_2q, a_over_q, aoq_PQ, Q_PA,
773 PRIM_INT__s_s_l_s, PRIM_INT__s_s_k_s, PRIM_INT__s_s_m_s);
774
775
776 ostei_general_vrr_I(1, 0, 9, 0, 7,
777 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
778 PRIM_INT__s_s_m_s, NULL, NULL, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_m_s);
779
780
781 ostei_general_vrr_I(2, 0, 9, 0, 6,
782 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
783 PRIM_INT__p_s_m_s, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_l_s, NULL, PRIM_INT__d_s_m_s);
784
785
786 ostei_general_vrr_I(3, 0, 9, 0, 5,
787 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
788 PRIM_INT__d_s_m_s, PRIM_INT__p_s_m_s, NULL, PRIM_INT__d_s_l_s, NULL, PRIM_INT__f_s_m_s);
789
790
791 ostei_general_vrr_I(4, 0, 9, 0, 4,
792 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
793 PRIM_INT__f_s_m_s, PRIM_INT__d_s_m_s, NULL, PRIM_INT__f_s_l_s, NULL, PRIM_INT__g_s_m_s);
794
795
796 ostei_general_vrr_I(5, 0, 9, 0, 3,
797 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
798 PRIM_INT__g_s_m_s, PRIM_INT__f_s_m_s, NULL, PRIM_INT__g_s_l_s, NULL, PRIM_INT__h_s_m_s);
799
800
801 ostei_general_vrr_I(6, 0, 9, 0, 2,
802 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
803 PRIM_INT__h_s_m_s, PRIM_INT__g_s_m_s, NULL, PRIM_INT__h_s_l_s, NULL, PRIM_INT__i_s_m_s);
804
805
806 ostei_general_vrr_I(7, 0, 9, 0, 1,
807 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
808 PRIM_INT__i_s_m_s, PRIM_INT__h_s_m_s, NULL, PRIM_INT__i_s_l_s, NULL, PRIM_INT__k_s_m_s);
809
810
811 ostei_general_vrr1_K(10, 10,
812 one_over_2q, a_over_q, aoq_PQ, Q_PA,
813 PRIM_INT__s_s_m_s, PRIM_INT__s_s_l_s, PRIM_INT__s_s_n_s);
814
815
816 ostei_general_vrr_I(1, 0, 10, 0, 7,
817 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
818 PRIM_INT__s_s_n_s, NULL, NULL, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_n_s);
819
820
821 ostei_general_vrr_I(2, 0, 10, 0, 6,
822 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
823 PRIM_INT__p_s_n_s, PRIM_INT__s_s_n_s, NULL, PRIM_INT__p_s_m_s, NULL, PRIM_INT__d_s_n_s);
824
825
826 ostei_general_vrr_I(3, 0, 10, 0, 5,
827 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
828 PRIM_INT__d_s_n_s, PRIM_INT__p_s_n_s, NULL, PRIM_INT__d_s_m_s, NULL, PRIM_INT__f_s_n_s);
829
830
831 ostei_general_vrr_I(4, 0, 10, 0, 4,
832 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
833 PRIM_INT__f_s_n_s, PRIM_INT__d_s_n_s, NULL, PRIM_INT__f_s_m_s, NULL, PRIM_INT__g_s_n_s);
834
835
836 ostei_general_vrr_I(5, 0, 10, 0, 3,
837 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
838 PRIM_INT__g_s_n_s, PRIM_INT__f_s_n_s, NULL, PRIM_INT__g_s_m_s, NULL, PRIM_INT__h_s_n_s);
839
840
841 ostei_general_vrr_I(6, 0, 10, 0, 2,
842 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
843 PRIM_INT__h_s_n_s, PRIM_INT__g_s_n_s, NULL, PRIM_INT__h_s_m_s, NULL, PRIM_INT__i_s_n_s);
844
845
846 ostei_general_vrr_I(7, 0, 10, 0, 1,
847 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
848 PRIM_INT__i_s_n_s, PRIM_INT__h_s_n_s, NULL, PRIM_INT__i_s_m_s, NULL, PRIM_INT__k_s_n_s);
849
850
851 ostei_general_vrr1_K(11, 9,
852 one_over_2q, a_over_q, aoq_PQ, Q_PA,
853 PRIM_INT__s_s_n_s, PRIM_INT__s_s_m_s, PRIM_INT__s_s_o_s);
854
855
856 ostei_general_vrr_I(1, 0, 11, 0, 7,
857 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
858 PRIM_INT__s_s_o_s, NULL, NULL, PRIM_INT__s_s_n_s, NULL, PRIM_INT__p_s_o_s);
859
860
861 ostei_general_vrr_I(2, 0, 11, 0, 6,
862 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
863 PRIM_INT__p_s_o_s, PRIM_INT__s_s_o_s, NULL, PRIM_INT__p_s_n_s, NULL, PRIM_INT__d_s_o_s);
864
865
866 ostei_general_vrr_I(3, 0, 11, 0, 5,
867 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
868 PRIM_INT__d_s_o_s, PRIM_INT__p_s_o_s, NULL, PRIM_INT__d_s_n_s, NULL, PRIM_INT__f_s_o_s);
869
870
871 ostei_general_vrr_I(4, 0, 11, 0, 4,
872 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
873 PRIM_INT__f_s_o_s, PRIM_INT__d_s_o_s, NULL, PRIM_INT__f_s_n_s, NULL, PRIM_INT__g_s_o_s);
874
875
876 ostei_general_vrr_I(5, 0, 11, 0, 3,
877 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
878 PRIM_INT__g_s_o_s, PRIM_INT__f_s_o_s, NULL, PRIM_INT__g_s_n_s, NULL, PRIM_INT__h_s_o_s);
879
880
881 ostei_general_vrr_I(6, 0, 11, 0, 2,
882 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
883 PRIM_INT__h_s_o_s, PRIM_INT__g_s_o_s, NULL, PRIM_INT__h_s_n_s, NULL, PRIM_INT__i_s_o_s);
884
885
886 ostei_general_vrr_I(7, 0, 11, 0, 1,
887 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
888 PRIM_INT__i_s_o_s, PRIM_INT__h_s_o_s, NULL, PRIM_INT__i_s_n_s, NULL, PRIM_INT__k_s_o_s);
889
890
891 ostei_general_vrr1_K(12, 8,
892 one_over_2q, a_over_q, aoq_PQ, Q_PA,
893 PRIM_INT__s_s_o_s, PRIM_INT__s_s_n_s, PRIM_INT__s_s_q_s);
894
895
896 ostei_general_vrr_I(1, 0, 12, 0, 7,
897 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
898 PRIM_INT__s_s_q_s, NULL, NULL, PRIM_INT__s_s_o_s, NULL, PRIM_INT__p_s_q_s);
899
900
901 ostei_general_vrr_I(2, 0, 12, 0, 6,
902 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
903 PRIM_INT__p_s_q_s, PRIM_INT__s_s_q_s, NULL, PRIM_INT__p_s_o_s, NULL, PRIM_INT__d_s_q_s);
904
905
906 ostei_general_vrr_I(3, 0, 12, 0, 5,
907 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
908 PRIM_INT__d_s_q_s, PRIM_INT__p_s_q_s, NULL, PRIM_INT__d_s_o_s, NULL, PRIM_INT__f_s_q_s);
909
910
911 ostei_general_vrr_I(4, 0, 12, 0, 4,
912 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
913 PRIM_INT__f_s_q_s, PRIM_INT__d_s_q_s, NULL, PRIM_INT__f_s_o_s, NULL, PRIM_INT__g_s_q_s);
914
915
916 ostei_general_vrr_I(5, 0, 12, 0, 3,
917 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
918 PRIM_INT__g_s_q_s, PRIM_INT__f_s_q_s, NULL, PRIM_INT__g_s_o_s, NULL, PRIM_INT__h_s_q_s);
919
920
921 ostei_general_vrr_I(6, 0, 12, 0, 2,
922 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
923 PRIM_INT__h_s_q_s, PRIM_INT__g_s_q_s, NULL, PRIM_INT__h_s_o_s, NULL, PRIM_INT__i_s_q_s);
924
925
926 ostei_general_vrr_I(7, 0, 12, 0, 1,
927 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
928 PRIM_INT__i_s_q_s, PRIM_INT__h_s_q_s, NULL, PRIM_INT__i_s_o_s, NULL, PRIM_INT__k_s_q_s);
929
930
931
932
933 ////////////////////////////////////
934 // Accumulate contracted integrals
935 ////////////////////////////////////
936 if(lastoffset == 0)
937 {
938 contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
939 contract_all(1620, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
940 contract_all(1980, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
941 contract_all(2376, PRIM_INT__k_s_n_s, PRIM_PTR_INT__k_s_n_s);
942 contract_all(2808, PRIM_INT__k_s_o_s, PRIM_PTR_INT__k_s_o_s);
943 contract_all(3276, PRIM_INT__k_s_q_s, PRIM_PTR_INT__k_s_q_s);
944 }
945 else
946 {
947 contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
948 contract(1620, shelloffsets, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
949 contract(1980, shelloffsets, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
950 contract(2376, shelloffsets, PRIM_INT__k_s_n_s, PRIM_PTR_INT__k_s_n_s);
951 contract(2808, shelloffsets, PRIM_INT__k_s_o_s, PRIM_PTR_INT__k_s_o_s);
952 contract(3276, shelloffsets, PRIM_INT__k_s_q_s, PRIM_PTR_INT__k_s_q_s);
953 PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
954 PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
955 PRIM_PTR_INT__k_s_m_s += lastoffset*1980;
956 PRIM_PTR_INT__k_s_n_s += lastoffset*2376;
957 PRIM_PTR_INT__k_s_o_s += lastoffset*2808;
958 PRIM_PTR_INT__k_s_q_s += lastoffset*3276;
959 }
960
961 } // close loop over j
962 } // close loop over i
963
964 //Advance to the next batch
965 jstart = SIMINT_SIMD_ROUND(jend);
966
967 //////////////////////////////////////////////
968 // Contracted integrals: Horizontal recurrance
969 //////////////////////////////////////////////
970
971
972
973
974 for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
975 {
976 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
977
978 // set up HRR pointers
979 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
980 double const * restrict HRR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
981 double const * restrict HRR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
982 double const * restrict HRR_INT__k_s_n_s = INT__k_s_n_s + abcd * 2376;
983 double const * restrict HRR_INT__k_s_o_s = INT__k_s_o_s + abcd * 2808;
984 double const * restrict HRR_INT__k_s_q_s = INT__k_s_q_s + abcd * 3276;
985 double * restrict HRR_INT__k_s_k_h = INT__k_s_k_h + real_abcd * 27216;
986
987 // form INT__k_s_k_p
988 ostei_general_hrr_L(7, 0, 7, 1, hCD, HRR_INT__k_s_l_s, HRR_INT__k_s_k_s, HRR_INT__k_s_k_p);
989
990 // form INT__k_s_l_p
991 ostei_general_hrr_L(7, 0, 8, 1, hCD, HRR_INT__k_s_m_s, HRR_INT__k_s_l_s, HRR_INT__k_s_l_p);
992
993 // form INT__k_s_m_p
994 ostei_general_hrr_L(7, 0, 9, 1, hCD, HRR_INT__k_s_n_s, HRR_INT__k_s_m_s, HRR_INT__k_s_m_p);
995
996 // form INT__k_s_n_p
997 ostei_general_hrr_L(7, 0, 10, 1, hCD, HRR_INT__k_s_o_s, HRR_INT__k_s_n_s, HRR_INT__k_s_n_p);
998
999 // form INT__k_s_o_p
1000 ostei_general_hrr_L(7, 0, 11, 1, hCD, HRR_INT__k_s_q_s, HRR_INT__k_s_o_s, HRR_INT__k_s_o_p);
1001
1002 // form INT__k_s_k_d
1003 ostei_general_hrr_L(7, 0, 7, 2, hCD, HRR_INT__k_s_l_p, HRR_INT__k_s_k_p, HRR_INT__k_s_k_d);
1004
1005 // form INT__k_s_l_d
1006 ostei_general_hrr_L(7, 0, 8, 2, hCD, HRR_INT__k_s_m_p, HRR_INT__k_s_l_p, HRR_INT__k_s_l_d);
1007
1008 // form INT__k_s_m_d
1009 ostei_general_hrr_L(7, 0, 9, 2, hCD, HRR_INT__k_s_n_p, HRR_INT__k_s_m_p, HRR_INT__k_s_m_d);
1010
1011 // form INT__k_s_n_d
1012 ostei_general_hrr_L(7, 0, 10, 2, hCD, HRR_INT__k_s_o_p, HRR_INT__k_s_n_p, HRR_INT__k_s_n_d);
1013
1014 // form INT__k_s_k_f
1015 ostei_general_hrr_L(7, 0, 7, 3, hCD, HRR_INT__k_s_l_d, HRR_INT__k_s_k_d, HRR_INT__k_s_k_f);
1016
1017 // form INT__k_s_l_f
1018 ostei_general_hrr_L(7, 0, 8, 3, hCD, HRR_INT__k_s_m_d, HRR_INT__k_s_l_d, HRR_INT__k_s_l_f);
1019
1020 // form INT__k_s_m_f
1021 ostei_general_hrr_L(7, 0, 9, 3, hCD, HRR_INT__k_s_n_d, HRR_INT__k_s_m_d, HRR_INT__k_s_m_f);
1022
1023 // form INT__k_s_k_g
1024 ostei_general_hrr_L(7, 0, 7, 4, hCD, HRR_INT__k_s_l_f, HRR_INT__k_s_k_f, HRR_INT__k_s_k_g);
1025
1026 // form INT__k_s_l_g
1027 ostei_general_hrr_L(7, 0, 8, 4, hCD, HRR_INT__k_s_m_f, HRR_INT__k_s_l_f, HRR_INT__k_s_l_g);
1028
1029 // form INT__k_s_k_h
1030 ostei_general_hrr_L(7, 0, 7, 5, hCD, HRR_INT__k_s_l_g, HRR_INT__k_s_k_g, HRR_INT__k_s_k_h);
1031
1032
1033 } // close HRR loop
1034
1035
1036 } // close loop cdbatch
1037
1038 istart = iend;
1039 } // close loop over ab
1040
1041 return P.nshell12_clip * Q.nshell12_clip;
1042 }
1043
ostei_s_k_k_h(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_k_k_h)1044 int ostei_s_k_k_h(struct simint_multi_shellpair const P,
1045 struct simint_multi_shellpair const Q,
1046 double screen_tol,
1047 double * const restrict work,
1048 double * const restrict INT__s_k_k_h)
1049 {
1050 double P_AB[3*P.nshell12];
1051 struct simint_multi_shellpair P_tmp = P;
1052 P_tmp.PA_x = P.PB_x; P_tmp.PA_y = P.PB_y; P_tmp.PA_z = P.PB_z;
1053 P_tmp.PB_x = P.PA_x; P_tmp.PB_y = P.PA_y; P_tmp.PB_z = P.PA_z;
1054 P_tmp.AB_x = P_AB;
1055 P_tmp.AB_y = P_AB + P.nshell12;
1056 P_tmp.AB_z = P_AB + 2*P.nshell12;
1057
1058 for(int i = 0; i < P.nshell12; i++)
1059 {
1060 P_tmp.AB_x[i] = -P.AB_x[i];
1061 P_tmp.AB_y[i] = -P.AB_y[i];
1062 P_tmp.AB_z[i] = -P.AB_z[i];
1063 }
1064
1065 int ret = ostei_k_s_k_h(P_tmp, Q, screen_tol, work, INT__s_k_k_h);
1066 double buffer[27216] SIMINT_ALIGN_ARRAY_DBL;
1067
1068 for(int q = 0; q < ret; q++)
1069 {
1070 int idx = 0;
1071 for(int a = 0; a < 1; ++a)
1072 for(int b = 0; b < 36; ++b)
1073 for(int c = 0; c < 36; ++c)
1074 for(int d = 0; d < 21; ++d)
1075 buffer[idx++] = INT__s_k_k_h[q*27216+b*756+a*756+c*21+d];
1076
1077 memcpy(INT__s_k_k_h+q*27216, buffer, 27216*sizeof(double));
1078 }
1079
1080 return ret;
1081 }
1082
ostei_k_s_h_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_s_h_k)1083 int ostei_k_s_h_k(struct simint_multi_shellpair const P,
1084 struct simint_multi_shellpair const Q,
1085 double screen_tol,
1086 double * const restrict work,
1087 double * const restrict INT__k_s_h_k)
1088 {
1089 double Q_AB[3*Q.nshell12];
1090 struct simint_multi_shellpair Q_tmp = Q;
1091 Q_tmp.PA_x = Q.PB_x; Q_tmp.PA_y = Q.PB_y; Q_tmp.PA_z = Q.PB_z;
1092 Q_tmp.PB_x = Q.PA_x; Q_tmp.PB_y = Q.PA_y; Q_tmp.PB_z = Q.PA_z;
1093 Q_tmp.AB_x = Q_AB;
1094 Q_tmp.AB_y = Q_AB + Q.nshell12;
1095 Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1096
1097 for(int i = 0; i < Q.nshell12; i++)
1098 {
1099 Q_tmp.AB_x[i] = -Q.AB_x[i];
1100 Q_tmp.AB_y[i] = -Q.AB_y[i];
1101 Q_tmp.AB_z[i] = -Q.AB_z[i];
1102 }
1103
1104 int ret = ostei_k_s_k_h(P, Q_tmp, screen_tol, work, INT__k_s_h_k);
1105 double buffer[27216] SIMINT_ALIGN_ARRAY_DBL;
1106
1107 for(int q = 0; q < ret; q++)
1108 {
1109 int idx = 0;
1110 for(int a = 0; a < 36; ++a)
1111 for(int b = 0; b < 1; ++b)
1112 for(int c = 0; c < 21; ++c)
1113 for(int d = 0; d < 36; ++d)
1114 buffer[idx++] = INT__k_s_h_k[q*27216+a*756+b*756+d*21+c];
1115
1116 memcpy(INT__k_s_h_k+q*27216, buffer, 27216*sizeof(double));
1117 }
1118
1119 return ret;
1120 }
1121
ostei_s_k_h_k(struct simint_multi_shellpair const P,struct simint_multi_shellpair const Q,double screen_tol,double * const restrict work,double * const restrict INT__s_k_h_k)1122 int ostei_s_k_h_k(struct simint_multi_shellpair const P,
1123 struct simint_multi_shellpair const Q,
1124 double screen_tol,
1125 double * const restrict work,
1126 double * const restrict INT__s_k_h_k)
1127 {
1128 double P_AB[3*P.nshell12];
1129 struct simint_multi_shellpair P_tmp = P;
1130 P_tmp.PA_x = P.PB_x; P_tmp.PA_y = P.PB_y; P_tmp.PA_z = P.PB_z;
1131 P_tmp.PB_x = P.PA_x; P_tmp.PB_y = P.PA_y; P_tmp.PB_z = P.PA_z;
1132 P_tmp.AB_x = P_AB;
1133 P_tmp.AB_y = P_AB + P.nshell12;
1134 P_tmp.AB_z = P_AB + 2*P.nshell12;
1135
1136 for(int i = 0; i < P.nshell12; i++)
1137 {
1138 P_tmp.AB_x[i] = -P.AB_x[i];
1139 P_tmp.AB_y[i] = -P.AB_y[i];
1140 P_tmp.AB_z[i] = -P.AB_z[i];
1141 }
1142
1143 double Q_AB[3*Q.nshell12];
1144 struct simint_multi_shellpair Q_tmp = Q;
1145 Q_tmp.PA_x = Q.PB_x; Q_tmp.PA_y = Q.PB_y; Q_tmp.PA_z = Q.PB_z;
1146 Q_tmp.PB_x = Q.PA_x; Q_tmp.PB_y = Q.PA_y; Q_tmp.PB_z = Q.PA_z;
1147 Q_tmp.AB_x = Q_AB;
1148 Q_tmp.AB_y = Q_AB + Q.nshell12;
1149 Q_tmp.AB_z = Q_AB + 2*Q.nshell12;
1150
1151 for(int i = 0; i < Q.nshell12; i++)
1152 {
1153 Q_tmp.AB_x[i] = -Q.AB_x[i];
1154 Q_tmp.AB_y[i] = -Q.AB_y[i];
1155 Q_tmp.AB_z[i] = -Q.AB_z[i];
1156 }
1157
1158 int ret = ostei_k_s_k_h(P_tmp, Q_tmp, screen_tol, work, INT__s_k_h_k);
1159 double buffer[27216] SIMINT_ALIGN_ARRAY_DBL;
1160
1161 for(int q = 0; q < ret; q++)
1162 {
1163 int idx = 0;
1164 for(int a = 0; a < 1; ++a)
1165 for(int b = 0; b < 36; ++b)
1166 for(int c = 0; c < 21; ++c)
1167 for(int d = 0; d < 36; ++d)
1168 buffer[idx++] = INT__s_k_h_k[q*27216+b*756+a*756+d*21+c];
1169
1170 memcpy(INT__s_k_h_k+q*27216, buffer, 27216*sizeof(double));
1171 }
1172
1173 return ret;
1174 }
1175
1176