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_i_i(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_i_i)8 int ostei_k_s_i_i(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_i_i)
13 {
14
15 SIMINT_ASSUME_ALIGN_DBL(work);
16 SIMINT_ASSUME_ALIGN_DBL(INT__k_s_i_i);
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_i_s = work + (SIMINT_NSHELL_SIMD * 0);
29 double * const INT__k_s_k_s = work + (SIMINT_NSHELL_SIMD * 1008);
30 double * const INT__k_s_l_s = work + (SIMINT_NSHELL_SIMD * 2304);
31 double * const INT__k_s_m_s = work + (SIMINT_NSHELL_SIMD * 3924);
32 double * const INT__k_s_n_s = work + (SIMINT_NSHELL_SIMD * 5904);
33 double * const INT__k_s_o_s = work + (SIMINT_NSHELL_SIMD * 8280);
34 double * const INT__k_s_q_s = work + (SIMINT_NSHELL_SIMD * 11088);
35 SIMINT_DBLTYPE * const primwork = (SIMINT_DBLTYPE *)(work + SIMINT_NSHELL_SIMD*14364);
36 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_s_s = primwork + 0;
37 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_p_s = primwork + 20;
38 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_d_s = primwork + 77;
39 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_f_s = primwork + 185;
40 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_g_s = primwork + 355;
41 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_h_s = primwork + 595;
42 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_i_s = primwork + 910;
43 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_k_s = primwork + 1302;
44 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_l_s = primwork + 1770;
45 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_m_s = primwork + 2310;
46 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_n_s = primwork + 2915;
47 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_o_s = primwork + 3575;
48 SIMINT_DBLTYPE * const restrict PRIM_INT__s_s_q_s = primwork + 4277;
49 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_s_s = primwork + 5005;
50 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_p_s = primwork + 5026;
51 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_d_s = primwork + 5089;
52 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_f_s = primwork + 5215;
53 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_g_s = primwork + 5425;
54 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_h_s = primwork + 5740;
55 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_i_s = primwork + 6181;
56 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_k_s = primwork + 6769;
57 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_l_s = primwork + 7525;
58 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_m_s = primwork + 8470;
59 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_n_s = primwork + 9625;
60 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_o_s = primwork + 11011;
61 SIMINT_DBLTYPE * const restrict PRIM_INT__p_s_q_s = primwork + 12649;
62 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_p_s = primwork + 14560;
63 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_d_s = primwork + 14668;
64 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_f_s = primwork + 14884;
65 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_g_s = primwork + 15244;
66 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_h_s = primwork + 15784;
67 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_i_s = primwork + 16540;
68 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_k_s = primwork + 17548;
69 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_l_s = primwork + 18844;
70 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_m_s = primwork + 20464;
71 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_n_s = primwork + 22444;
72 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_o_s = primwork + 24820;
73 SIMINT_DBLTYPE * const restrict PRIM_INT__d_s_q_s = primwork + 27628;
74 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_d_s = primwork + 30904;
75 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_f_s = primwork + 31204;
76 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_g_s = primwork + 31704;
77 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_h_s = primwork + 32454;
78 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_i_s = primwork + 33504;
79 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_k_s = primwork + 34904;
80 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_l_s = primwork + 36704;
81 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_m_s = primwork + 38954;
82 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_n_s = primwork + 41704;
83 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_o_s = primwork + 45004;
84 SIMINT_DBLTYPE * const restrict PRIM_INT__f_s_q_s = primwork + 48904;
85 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_f_s = primwork + 53454;
86 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_g_s = primwork + 54054;
87 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_h_s = primwork + 54954;
88 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_i_s = primwork + 56214;
89 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_k_s = primwork + 57894;
90 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_l_s = primwork + 60054;
91 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_m_s = primwork + 62754;
92 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_n_s = primwork + 66054;
93 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_o_s = primwork + 70014;
94 SIMINT_DBLTYPE * const restrict PRIM_INT__g_s_q_s = primwork + 74694;
95 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_g_s = primwork + 80154;
96 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_h_s = primwork + 81099;
97 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_i_s = primwork + 82422;
98 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_k_s = primwork + 84186;
99 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_l_s = primwork + 86454;
100 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_m_s = primwork + 89289;
101 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_n_s = primwork + 92754;
102 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_o_s = primwork + 96912;
103 SIMINT_DBLTYPE * const restrict PRIM_INT__h_s_q_s = primwork + 101826;
104 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_h_s = primwork + 107559;
105 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_i_s = primwork + 108735;
106 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_k_s = primwork + 110303;
107 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_l_s = primwork + 112319;
108 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_m_s = primwork + 114839;
109 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_n_s = primwork + 117919;
110 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_o_s = primwork + 121615;
111 SIMINT_DBLTYPE * const restrict PRIM_INT__i_s_q_s = primwork + 125983;
112 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_i_s = primwork + 131079;
113 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_k_s = primwork + 132087;
114 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_l_s = primwork + 133383;
115 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_m_s = primwork + 135003;
116 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_n_s = primwork + 136983;
117 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_o_s = primwork + 139359;
118 SIMINT_DBLTYPE * const restrict PRIM_INT__k_s_q_s = primwork + 142167;
119 double * const hrrwork = (double *)(primwork + 145443);
120 double * const HRR_INT__k_s_i_p = hrrwork + 0;
121 double * const HRR_INT__k_s_i_d = hrrwork + 3024;
122 double * const HRR_INT__k_s_i_f = hrrwork + 9072;
123 double * const HRR_INT__k_s_i_g = hrrwork + 19152;
124 double * const HRR_INT__k_s_i_h = hrrwork + 34272;
125 double * const HRR_INT__k_s_k_p = hrrwork + 55440;
126 double * const HRR_INT__k_s_k_d = hrrwork + 59328;
127 double * const HRR_INT__k_s_k_f = hrrwork + 67104;
128 double * const HRR_INT__k_s_k_g = hrrwork + 80064;
129 double * const HRR_INT__k_s_k_h = hrrwork + 99504;
130 double * const HRR_INT__k_s_l_p = hrrwork + 126720;
131 double * const HRR_INT__k_s_l_d = hrrwork + 131580;
132 double * const HRR_INT__k_s_l_f = hrrwork + 141300;
133 double * const HRR_INT__k_s_l_g = hrrwork + 157500;
134 double * const HRR_INT__k_s_m_p = hrrwork + 181800;
135 double * const HRR_INT__k_s_m_d = hrrwork + 187740;
136 double * const HRR_INT__k_s_m_f = hrrwork + 199620;
137 double * const HRR_INT__k_s_n_p = hrrwork + 219420;
138 double * const HRR_INT__k_s_n_d = hrrwork + 226548;
139 double * const HRR_INT__k_s_o_p = hrrwork + 240804;
140
141
142 // Create constants
143 const SIMINT_DBLTYPE const_1 = SIMINT_DBLSET1(1);
144 const SIMINT_DBLTYPE const_10 = SIMINT_DBLSET1(10);
145 const SIMINT_DBLTYPE const_11 = SIMINT_DBLSET1(11);
146 const SIMINT_DBLTYPE const_12 = SIMINT_DBLSET1(12);
147 const SIMINT_DBLTYPE const_2 = SIMINT_DBLSET1(2);
148 const SIMINT_DBLTYPE const_3 = SIMINT_DBLSET1(3);
149 const SIMINT_DBLTYPE const_4 = SIMINT_DBLSET1(4);
150 const SIMINT_DBLTYPE const_5 = SIMINT_DBLSET1(5);
151 const SIMINT_DBLTYPE const_6 = SIMINT_DBLSET1(6);
152 const SIMINT_DBLTYPE const_7 = SIMINT_DBLSET1(7);
153 const SIMINT_DBLTYPE const_8 = SIMINT_DBLSET1(8);
154 const SIMINT_DBLTYPE const_9 = SIMINT_DBLSET1(9);
155 const SIMINT_DBLTYPE one_half = SIMINT_DBLSET1(0.5);
156
157
158 ////////////////////////////////////////
159 // Loop over shells and primitives
160 ////////////////////////////////////////
161
162 real_abcd = 0;
163 istart = 0;
164 for(ab = 0; ab < P.nshell12_clip; ++ab)
165 {
166 const int iend = istart + P.nprim12[ab];
167
168 cd = 0;
169 jstart = 0;
170
171 for(cd = 0; cd < Q.nshell12_clip; cd += SIMINT_NSHELL_SIMD)
172 {
173 const int nshellbatch = ((cd + SIMINT_NSHELL_SIMD) > Q.nshell12_clip) ? Q.nshell12_clip - cd : SIMINT_NSHELL_SIMD;
174 int jend = jstart;
175 for(i = 0; i < nshellbatch; i++)
176 jend += Q.nprim12[cd+i];
177
178 // Clear the beginning of the workspace (where we are accumulating integrals)
179 memset(work, 0, SIMINT_NSHELL_SIMD * 14364 * sizeof(double));
180 abcd = 0;
181
182
183 for(i = istart; i < iend; ++i)
184 {
185 SIMINT_DBLTYPE bra_screen_max; // only used if check_screen
186
187 if(check_screen)
188 {
189 // Skip this whole thing if always insignificant
190 if((P.screen[i] * Q.screen_max) < screen_tol)
191 continue;
192 bra_screen_max = SIMINT_DBLSET1(P.screen[i]);
193 }
194
195 icd = 0;
196 iprimcd = 0;
197 nprim_icd = Q.nprim12[cd];
198 double * restrict PRIM_PTR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
199 double * restrict PRIM_PTR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
200 double * restrict PRIM_PTR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
201 double * restrict PRIM_PTR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
202 double * restrict PRIM_PTR_INT__k_s_n_s = INT__k_s_n_s + abcd * 2376;
203 double * restrict PRIM_PTR_INT__k_s_o_s = INT__k_s_o_s + abcd * 2808;
204 double * restrict PRIM_PTR_INT__k_s_q_s = INT__k_s_q_s + abcd * 3276;
205
206
207
208 // Load these one per loop over i
209 const SIMINT_DBLTYPE P_alpha = SIMINT_DBLSET1(P.alpha[i]);
210 const SIMINT_DBLTYPE P_prefac = SIMINT_DBLSET1(P.prefac[i]);
211 const SIMINT_DBLTYPE Pxyz[3] = { SIMINT_DBLSET1(P.x[i]), SIMINT_DBLSET1(P.y[i]), SIMINT_DBLSET1(P.z[i]) };
212
213 const SIMINT_DBLTYPE P_PA[3] = { SIMINT_DBLSET1(P.PA_x[i]), SIMINT_DBLSET1(P.PA_y[i]), SIMINT_DBLSET1(P.PA_z[i]) };
214
215 for(j = jstart; j < jend; j += SIMINT_SIMD_LEN)
216 {
217 // calculate the shell offsets
218 // these are the offset from the shell pointed to by cd
219 // for each element
220 int shelloffsets[SIMINT_SIMD_LEN] = {0};
221 int lastoffset = 0;
222 const int nlane = ( ((j + SIMINT_SIMD_LEN) < jend) ? SIMINT_SIMD_LEN : (jend - j));
223
224 if((iprimcd + SIMINT_SIMD_LEN) >= nprim_icd)
225 {
226 // Handle if the first element of the vector is a new shell
227 if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
228 {
229 nprim_icd += Q.nprim12[cd + (++icd)];
230 PRIM_PTR_INT__k_s_i_s += 1008;
231 PRIM_PTR_INT__k_s_k_s += 1296;
232 PRIM_PTR_INT__k_s_l_s += 1620;
233 PRIM_PTR_INT__k_s_m_s += 1980;
234 PRIM_PTR_INT__k_s_n_s += 2376;
235 PRIM_PTR_INT__k_s_o_s += 2808;
236 PRIM_PTR_INT__k_s_q_s += 3276;
237 }
238 iprimcd++;
239 for(n = 1; n < SIMINT_SIMD_LEN; ++n)
240 {
241 if(iprimcd >= nprim_icd && ((icd+1) < nshellbatch))
242 {
243 shelloffsets[n] = shelloffsets[n-1] + 1;
244 lastoffset++;
245 nprim_icd += Q.nprim12[cd + (++icd)];
246 }
247 else
248 shelloffsets[n] = shelloffsets[n-1];
249 iprimcd++;
250 }
251 }
252 else
253 iprimcd += SIMINT_SIMD_LEN;
254
255 // Do we have to compute this vector (or has it been screened out)?
256 // (not_screened != 0 means we have to do this vector)
257 if(check_screen)
258 {
259 const double vmax = vector_max(SIMINT_MUL(bra_screen_max, SIMINT_DBLLOAD(Q.screen, j)));
260 if(vmax < screen_tol)
261 {
262 PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
263 PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
264 PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
265 PRIM_PTR_INT__k_s_m_s += lastoffset*1980;
266 PRIM_PTR_INT__k_s_n_s += lastoffset*2376;
267 PRIM_PTR_INT__k_s_o_s += lastoffset*2808;
268 PRIM_PTR_INT__k_s_q_s += lastoffset*3276;
269 continue;
270 }
271 }
272
273 const SIMINT_DBLTYPE Q_alpha = SIMINT_DBLLOAD(Q.alpha, j);
274 const SIMINT_DBLTYPE PQalpha_mul = SIMINT_MUL(P_alpha, Q_alpha);
275 const SIMINT_DBLTYPE PQalpha_sum = SIMINT_ADD(P_alpha, Q_alpha);
276 const SIMINT_DBLTYPE one_over_PQalpha_sum = SIMINT_DIV(const_1, PQalpha_sum);
277
278
279 /* construct R2 = (Px - Qx)**2 + (Py - Qy)**2 + (Pz -Qz)**2 */
280 SIMINT_DBLTYPE PQ[3];
281 PQ[0] = SIMINT_SUB(Pxyz[0], SIMINT_DBLLOAD(Q.x, j));
282 PQ[1] = SIMINT_SUB(Pxyz[1], SIMINT_DBLLOAD(Q.y, j));
283 PQ[2] = SIMINT_SUB(Pxyz[2], SIMINT_DBLLOAD(Q.z, j));
284 SIMINT_DBLTYPE R2 = SIMINT_MUL(PQ[0], PQ[0]);
285 R2 = SIMINT_FMADD(PQ[1], PQ[1], R2);
286 R2 = SIMINT_FMADD(PQ[2], PQ[2], R2);
287
288 const SIMINT_DBLTYPE alpha = SIMINT_MUL(PQalpha_mul, one_over_PQalpha_sum); // alpha from MEST
289 const SIMINT_DBLTYPE one_over_p = SIMINT_DIV(const_1, P_alpha);
290 const SIMINT_DBLTYPE one_over_q = SIMINT_DIV(const_1, Q_alpha);
291 const SIMINT_DBLTYPE one_over_2p = SIMINT_MUL(one_half, one_over_p);
292 const SIMINT_DBLTYPE one_over_2q = SIMINT_MUL(one_half, one_over_q);
293 const SIMINT_DBLTYPE one_over_2pq = SIMINT_MUL(one_half, one_over_PQalpha_sum);
294 const SIMINT_DBLTYPE Q_PA[3] = { SIMINT_DBLLOAD(Q.PA_x, j), SIMINT_DBLLOAD(Q.PA_y, j), SIMINT_DBLLOAD(Q.PA_z, j) };
295
296 // NOTE: Minus sign!
297 const SIMINT_DBLTYPE a_over_p = SIMINT_MUL(SIMINT_NEG(alpha), one_over_p);
298 SIMINT_DBLTYPE aop_PQ[3];
299 aop_PQ[0] = SIMINT_MUL(a_over_p, PQ[0]);
300 aop_PQ[1] = SIMINT_MUL(a_over_p, PQ[1]);
301 aop_PQ[2] = SIMINT_MUL(a_over_p, PQ[2]);
302
303 SIMINT_DBLTYPE a_over_q = SIMINT_MUL(alpha, one_over_q);
304 SIMINT_DBLTYPE aoq_PQ[3];
305 aoq_PQ[0] = SIMINT_MUL(a_over_q, PQ[0]);
306 aoq_PQ[1] = SIMINT_MUL(a_over_q, PQ[1]);
307 aoq_PQ[2] = SIMINT_MUL(a_over_q, PQ[2]);
308 // Put a minus sign here so we don't have to in RR routines
309 a_over_q = SIMINT_NEG(a_over_q);
310
311
312 //////////////////////////////////////////////
313 // Fjt function section
314 // Maximum v value: 19
315 //////////////////////////////////////////////
316 // The parameter to the Fjt function
317 const SIMINT_DBLTYPE F_x = SIMINT_MUL(R2, alpha);
318
319
320 const SIMINT_DBLTYPE Q_prefac = mask_load(nlane, Q.prefac + j);
321
322
323 boys_F_split(PRIM_INT__s_s_s_s, F_x, 19);
324 SIMINT_DBLTYPE prefac = SIMINT_SQRT(one_over_PQalpha_sum);
325 prefac = SIMINT_MUL(SIMINT_MUL(P_prefac, Q_prefac), prefac);
326 for(n = 0; n <= 19; n++)
327 PRIM_INT__s_s_s_s[n] = SIMINT_MUL(PRIM_INT__s_s_s_s[n], prefac);
328
329 //////////////////////////////////////////////
330 // Primitive integrals: Vertical recurrance
331 //////////////////////////////////////////////
332
333 const SIMINT_DBLTYPE vrr_const_1_over_2p = one_over_2p;
334 const SIMINT_DBLTYPE vrr_const_2_over_2p = SIMINT_MUL(const_2, one_over_2p);
335 const SIMINT_DBLTYPE vrr_const_3_over_2p = SIMINT_MUL(const_3, one_over_2p);
336 const SIMINT_DBLTYPE vrr_const_4_over_2p = SIMINT_MUL(const_4, one_over_2p);
337 const SIMINT_DBLTYPE vrr_const_5_over_2p = SIMINT_MUL(const_5, one_over_2p);
338 const SIMINT_DBLTYPE vrr_const_6_over_2p = SIMINT_MUL(const_6, one_over_2p);
339 const SIMINT_DBLTYPE vrr_const_1_over_2q = one_over_2q;
340 const SIMINT_DBLTYPE vrr_const_2_over_2q = SIMINT_MUL(const_2, one_over_2q);
341 const SIMINT_DBLTYPE vrr_const_3_over_2q = SIMINT_MUL(const_3, one_over_2q);
342 const SIMINT_DBLTYPE vrr_const_4_over_2q = SIMINT_MUL(const_4, one_over_2q);
343 const SIMINT_DBLTYPE vrr_const_5_over_2q = SIMINT_MUL(const_5, one_over_2q);
344 const SIMINT_DBLTYPE vrr_const_6_over_2q = SIMINT_MUL(const_6, one_over_2q);
345 const SIMINT_DBLTYPE vrr_const_7_over_2q = SIMINT_MUL(const_7, one_over_2q);
346 const SIMINT_DBLTYPE vrr_const_8_over_2q = SIMINT_MUL(const_8, one_over_2q);
347 const SIMINT_DBLTYPE vrr_const_9_over_2q = SIMINT_MUL(const_9, one_over_2q);
348 const SIMINT_DBLTYPE vrr_const_10_over_2q = SIMINT_MUL(const_10, one_over_2q);
349 const SIMINT_DBLTYPE vrr_const_11_over_2q = SIMINT_MUL(const_11, one_over_2q);
350 const SIMINT_DBLTYPE vrr_const_1_over_2pq = one_over_2pq;
351 const SIMINT_DBLTYPE vrr_const_2_over_2pq = SIMINT_MUL(const_2, one_over_2pq);
352 const SIMINT_DBLTYPE vrr_const_3_over_2pq = SIMINT_MUL(const_3, one_over_2pq);
353 const SIMINT_DBLTYPE vrr_const_4_over_2pq = SIMINT_MUL(const_4, one_over_2pq);
354 const SIMINT_DBLTYPE vrr_const_5_over_2pq = SIMINT_MUL(const_5, one_over_2pq);
355 const SIMINT_DBLTYPE vrr_const_6_over_2pq = SIMINT_MUL(const_6, one_over_2pq);
356 const SIMINT_DBLTYPE vrr_const_7_over_2pq = SIMINT_MUL(const_7, one_over_2pq);
357 const SIMINT_DBLTYPE vrr_const_8_over_2pq = SIMINT_MUL(const_8, one_over_2pq);
358 const SIMINT_DBLTYPE vrr_const_9_over_2pq = SIMINT_MUL(const_9, one_over_2pq);
359 const SIMINT_DBLTYPE vrr_const_10_over_2pq = SIMINT_MUL(const_10, one_over_2pq);
360 const SIMINT_DBLTYPE vrr_const_11_over_2pq = SIMINT_MUL(const_11, one_over_2pq);
361 const SIMINT_DBLTYPE vrr_const_12_over_2pq = SIMINT_MUL(const_12, one_over_2pq);
362
363
364
365 // Forming PRIM_INT__s_s_p_s[19 * 3];
366 for(n = 0; n < 19; ++n) // loop over orders of auxiliary function
367 {
368
369 PRIM_INT__s_s_p_s[n * 3 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
370 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]);
371
372 PRIM_INT__s_s_p_s[n * 3 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
373 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]);
374
375 PRIM_INT__s_s_p_s[n * 3 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
376 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]);
377
378 }
379
380
381
382 // Forming PRIM_INT__s_s_d_s[18 * 6];
383 for(n = 0; n < 18; ++n) // loop over orders of auxiliary function
384 {
385
386 PRIM_INT__s_s_d_s[n * 6 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
387 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]);
388 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]);
389
390 PRIM_INT__s_s_d_s[n * 6 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
391 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]);
392
393 PRIM_INT__s_s_d_s[n * 6 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
394 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]);
395
396 PRIM_INT__s_s_d_s[n * 6 + 3] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
397 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]);
398 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]);
399
400 PRIM_INT__s_s_d_s[n * 6 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
401 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]);
402
403 PRIM_INT__s_s_d_s[n * 6 + 5] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
404 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]);
405 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]);
406
407 }
408
409
410
411 // Forming PRIM_INT__s_s_f_s[17 * 10];
412 for(n = 0; n < 17; ++n) // loop over orders of auxiliary function
413 {
414
415 PRIM_INT__s_s_f_s[n * 10 + 0] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
416 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]);
417 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]);
418
419 PRIM_INT__s_s_f_s[n * 10 + 1] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
420 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]);
421
422 PRIM_INT__s_s_f_s[n * 10 + 2] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
423 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]);
424
425 PRIM_INT__s_s_f_s[n * 10 + 3] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
426 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]);
427
428 PRIM_INT__s_s_f_s[n * 10 + 4] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
429 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]);
430
431 PRIM_INT__s_s_f_s[n * 10 + 5] = SIMINT_MUL(Q_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
432 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]);
433
434 PRIM_INT__s_s_f_s[n * 10 + 6] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
435 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]);
436 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]);
437
438 PRIM_INT__s_s_f_s[n * 10 + 7] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
439 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]);
440
441 PRIM_INT__s_s_f_s[n * 10 + 8] = SIMINT_MUL(Q_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
442 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]);
443
444 PRIM_INT__s_s_f_s[n * 10 + 9] = SIMINT_MUL(Q_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
445 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]);
446 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]);
447
448 }
449
450
451 VRR_K_s_s_g_s(
452 PRIM_INT__s_s_g_s,
453 PRIM_INT__s_s_f_s,
454 PRIM_INT__s_s_d_s,
455 Q_PA,
456 a_over_q,
457 aoq_PQ,
458 one_over_2q,
459 16);
460
461
462 VRR_K_s_s_h_s(
463 PRIM_INT__s_s_h_s,
464 PRIM_INT__s_s_g_s,
465 PRIM_INT__s_s_f_s,
466 Q_PA,
467 a_over_q,
468 aoq_PQ,
469 one_over_2q,
470 15);
471
472
473 ostei_general_vrr1_K(6, 14,
474 one_over_2q, a_over_q, aoq_PQ, Q_PA,
475 PRIM_INT__s_s_h_s, PRIM_INT__s_s_g_s, PRIM_INT__s_s_i_s);
476
477
478 ostei_general_vrr_I(1, 0, 6, 0, 7,
479 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
480 PRIM_INT__s_s_i_s, NULL, NULL, PRIM_INT__s_s_h_s, NULL, PRIM_INT__p_s_i_s);
481
482
483 ostei_general_vrr_I(1, 0, 5, 0, 7,
484 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
485 PRIM_INT__s_s_h_s, NULL, NULL, PRIM_INT__s_s_g_s, NULL, PRIM_INT__p_s_h_s);
486
487
488 ostei_general_vrr_I(2, 0, 6, 0, 6,
489 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
490 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);
491
492
493 VRR_I_p_s_g_s(
494 PRIM_INT__p_s_g_s,
495 PRIM_INT__s_s_g_s,
496 PRIM_INT__s_s_f_s,
497 P_PA,
498 aop_PQ,
499 one_over_2pq,
500 7);
501
502
503 ostei_general_vrr_I(2, 0, 5, 0, 6,
504 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
505 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);
506
507
508 ostei_general_vrr_I(3, 0, 6, 0, 5,
509 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
510 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);
511
512
513 VRR_I_p_s_f_s(
514 PRIM_INT__p_s_f_s,
515 PRIM_INT__s_s_f_s,
516 PRIM_INT__s_s_d_s,
517 P_PA,
518 aop_PQ,
519 one_over_2pq,
520 7);
521
522
523 ostei_general_vrr_I(2, 0, 4, 0, 6,
524 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
525 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);
526
527
528 ostei_general_vrr_I(3, 0, 5, 0, 5,
529 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
530 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);
531
532
533 ostei_general_vrr_I(4, 0, 6, 0, 4,
534 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
535 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);
536
537
538
539 // Forming PRIM_INT__p_s_d_s[7 * 18];
540 for(n = 0; n < 7; ++n) // loop over orders of auxiliary function
541 {
542
543 PRIM_INT__p_s_d_s[n * 18 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 0]);
544 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]);
545 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]);
546
547 PRIM_INT__p_s_d_s[n * 18 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 1]);
548 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]);
549 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]);
550
551 PRIM_INT__p_s_d_s[n * 18 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 2]);
552 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]);
553 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]);
554
555 PRIM_INT__p_s_d_s[n * 18 + 3] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 3]);
556 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]);
557
558 PRIM_INT__p_s_d_s[n * 18 + 4] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 4]);
559 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]);
560
561 PRIM_INT__p_s_d_s[n * 18 + 5] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_d_s[n * 6 + 5]);
562 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]);
563
564 PRIM_INT__p_s_d_s[n * 18 + 6] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 0]);
565 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]);
566
567 PRIM_INT__p_s_d_s[n * 18 + 7] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 1]);
568 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]);
569 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]);
570
571 PRIM_INT__p_s_d_s[n * 18 + 8] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 2]);
572 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]);
573
574 PRIM_INT__p_s_d_s[n * 18 + 9] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 3]);
575 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]);
576 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]);
577
578 PRIM_INT__p_s_d_s[n * 18 + 10] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 4]);
579 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]);
580 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]);
581
582 PRIM_INT__p_s_d_s[n * 18 + 11] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_d_s[n * 6 + 5]);
583 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]);
584
585 PRIM_INT__p_s_d_s[n * 18 + 12] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 0]);
586 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]);
587
588 PRIM_INT__p_s_d_s[n * 18 + 13] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 1]);
589 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]);
590
591 PRIM_INT__p_s_d_s[n * 18 + 14] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 2]);
592 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]);
593 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]);
594
595 PRIM_INT__p_s_d_s[n * 18 + 15] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 3]);
596 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]);
597
598 PRIM_INT__p_s_d_s[n * 18 + 16] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 4]);
599 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]);
600 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]);
601
602 PRIM_INT__p_s_d_s[n * 18 + 17] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_d_s[n * 6 + 5]);
603 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]);
604 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]);
605
606 }
607
608
609 VRR_I_d_s_f_s(
610 PRIM_INT__d_s_f_s,
611 PRIM_INT__p_s_f_s,
612 PRIM_INT__s_s_f_s,
613 PRIM_INT__p_s_d_s,
614 P_PA,
615 a_over_p,
616 aop_PQ,
617 one_over_2p,
618 one_over_2pq,
619 6);
620
621
622 ostei_general_vrr_I(3, 0, 4, 0, 5,
623 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
624 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);
625
626
627 ostei_general_vrr_I(4, 0, 5, 0, 4,
628 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
629 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);
630
631
632 ostei_general_vrr_I(5, 0, 6, 0, 3,
633 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
634 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);
635
636
637
638 // Forming PRIM_INT__p_s_p_s[7 * 9];
639 for(n = 0; n < 7; ++n) // loop over orders of auxiliary function
640 {
641
642 PRIM_INT__p_s_p_s[n * 9 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 0]);
643 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]);
644 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]);
645
646 PRIM_INT__p_s_p_s[n * 9 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 1]);
647 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]);
648
649 PRIM_INT__p_s_p_s[n * 9 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_p_s[n * 3 + 2]);
650 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]);
651
652 PRIM_INT__p_s_p_s[n * 9 + 3] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 0]);
653 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]);
654
655 PRIM_INT__p_s_p_s[n * 9 + 4] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 1]);
656 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]);
657 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]);
658
659 PRIM_INT__p_s_p_s[n * 9 + 5] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_p_s[n * 3 + 2]);
660 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]);
661
662 PRIM_INT__p_s_p_s[n * 9 + 6] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 0]);
663 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]);
664
665 PRIM_INT__p_s_p_s[n * 9 + 7] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 1]);
666 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]);
667
668 PRIM_INT__p_s_p_s[n * 9 + 8] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_p_s[n * 3 + 2]);
669 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]);
670 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]);
671
672 }
673
674
675 VRR_I_d_s_d_s(
676 PRIM_INT__d_s_d_s,
677 PRIM_INT__p_s_d_s,
678 PRIM_INT__s_s_d_s,
679 PRIM_INT__p_s_p_s,
680 P_PA,
681 a_over_p,
682 aop_PQ,
683 one_over_2p,
684 one_over_2pq,
685 6);
686
687
688 ostei_general_vrr_I(3, 0, 3, 0, 5,
689 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
690 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);
691
692
693 ostei_general_vrr_I(4, 0, 4, 0, 4,
694 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
695 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);
696
697
698 ostei_general_vrr_I(5, 0, 5, 0, 3,
699 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
700 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);
701
702
703 ostei_general_vrr_I(6, 0, 6, 0, 2,
704 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
705 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);
706
707
708
709 // Forming PRIM_INT__p_s_s_s[7 * 3];
710 for(n = 0; n < 7; ++n) // loop over orders of auxiliary function
711 {
712
713 PRIM_INT__p_s_s_s[n * 3 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__s_s_s_s[n * 1 + 0]);
714 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]);
715
716 PRIM_INT__p_s_s_s[n * 3 + 1] = SIMINT_MUL(P_PA[1], PRIM_INT__s_s_s_s[n * 1 + 0]);
717 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]);
718
719 PRIM_INT__p_s_s_s[n * 3 + 2] = SIMINT_MUL(P_PA[2], PRIM_INT__s_s_s_s[n * 1 + 0]);
720 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]);
721
722 }
723
724
725
726 // Forming PRIM_INT__d_s_p_s[6 * 18];
727 for(n = 0; n < 6; ++n) // loop over orders of auxiliary function
728 {
729
730 PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 0]);
731 PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 0], PRIM_INT__d_s_p_s[n * 18 + 0]);
732 PRIM_INT__d_s_p_s[n * 18 + 0] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 0]);
733 PRIM_INT__d_s_p_s[n * 18 + 0] = 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 + 0]);
734
735 PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 1]);
736 PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 1], PRIM_INT__d_s_p_s[n * 18 + 1]);
737 PRIM_INT__d_s_p_s[n * 18 + 1] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 1]);
738
739 PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_MUL(P_PA[0], PRIM_INT__p_s_p_s[n * 9 + 2]);
740 PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( aop_PQ[0], PRIM_INT__p_s_p_s[(n+1) * 9 + 2], PRIM_INT__d_s_p_s[n * 18 + 2]);
741 PRIM_INT__d_s_p_s[n * 18 + 2] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 2]);
742
743 PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 3]);
744 PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 3], PRIM_INT__d_s_p_s[n * 18 + 9]);
745 PRIM_INT__d_s_p_s[n * 18 + 9] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 9]);
746
747 PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 4]);
748 PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 4], PRIM_INT__d_s_p_s[n * 18 + 10]);
749 PRIM_INT__d_s_p_s[n * 18 + 10] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 10]);
750 PRIM_INT__d_s_p_s[n * 18 + 10] = 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 + 10]);
751
752 PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_MUL(P_PA[1], PRIM_INT__p_s_p_s[n * 9 + 5]);
753 PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( aop_PQ[1], PRIM_INT__p_s_p_s[(n+1) * 9 + 5], PRIM_INT__d_s_p_s[n * 18 + 11]);
754 PRIM_INT__d_s_p_s[n * 18 + 11] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 11]);
755
756 PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 6]);
757 PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 6], PRIM_INT__d_s_p_s[n * 18 + 15]);
758 PRIM_INT__d_s_p_s[n * 18 + 15] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 0], PRIM_INT__s_s_p_s[n * 3 + 0]), PRIM_INT__d_s_p_s[n * 18 + 15]);
759
760 PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 7]);
761 PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 7], PRIM_INT__d_s_p_s[n * 18 + 16]);
762 PRIM_INT__d_s_p_s[n * 18 + 16] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 1], PRIM_INT__s_s_p_s[n * 3 + 1]), PRIM_INT__d_s_p_s[n * 18 + 16]);
763
764 PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_MUL(P_PA[2], PRIM_INT__p_s_p_s[n * 9 + 8]);
765 PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( aop_PQ[2], PRIM_INT__p_s_p_s[(n+1) * 9 + 8], PRIM_INT__d_s_p_s[n * 18 + 17]);
766 PRIM_INT__d_s_p_s[n * 18 + 17] = SIMINT_FMADD( vrr_const_1_over_2p, SIMINT_FMADD(a_over_p, PRIM_INT__s_s_p_s[(n+1) * 3 + 2], PRIM_INT__s_s_p_s[n * 3 + 2]), PRIM_INT__d_s_p_s[n * 18 + 17]);
767 PRIM_INT__d_s_p_s[n * 18 + 17] = 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 + 17]);
768
769 }
770
771
772 VRR_I_f_s_d_s(
773 PRIM_INT__f_s_d_s,
774 PRIM_INT__d_s_d_s,
775 PRIM_INT__p_s_d_s,
776 PRIM_INT__d_s_p_s,
777 P_PA,
778 a_over_p,
779 aop_PQ,
780 one_over_2p,
781 one_over_2pq,
782 5);
783
784
785 ostei_general_vrr_I(4, 0, 3, 0, 4,
786 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
787 PRIM_INT__f_s_f_s, PRIM_INT__d_s_f_s, NULL, PRIM_INT__f_s_d_s, NULL, PRIM_INT__g_s_f_s);
788
789
790 ostei_general_vrr_I(5, 0, 4, 0, 3,
791 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
792 PRIM_INT__g_s_g_s, PRIM_INT__f_s_g_s, NULL, PRIM_INT__g_s_f_s, NULL, PRIM_INT__h_s_g_s);
793
794
795 ostei_general_vrr_I(6, 0, 5, 0, 2,
796 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
797 PRIM_INT__h_s_h_s, PRIM_INT__g_s_h_s, NULL, PRIM_INT__h_s_g_s, NULL, PRIM_INT__i_s_h_s);
798
799
800 ostei_general_vrr_I(7, 0, 6, 0, 1,
801 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
802 PRIM_INT__i_s_i_s, PRIM_INT__h_s_i_s, NULL, PRIM_INT__i_s_h_s, NULL, PRIM_INT__k_s_i_s);
803
804
805 ostei_general_vrr1_K(7, 13,
806 one_over_2q, a_over_q, aoq_PQ, Q_PA,
807 PRIM_INT__s_s_i_s, PRIM_INT__s_s_h_s, PRIM_INT__s_s_k_s);
808
809
810 ostei_general_vrr_I(1, 0, 7, 0, 7,
811 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
812 PRIM_INT__s_s_k_s, NULL, NULL, PRIM_INT__s_s_i_s, NULL, PRIM_INT__p_s_k_s);
813
814
815 ostei_general_vrr_I(2, 0, 7, 0, 6,
816 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
817 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);
818
819
820 ostei_general_vrr_I(3, 0, 7, 0, 5,
821 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
822 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);
823
824
825 ostei_general_vrr_I(4, 0, 7, 0, 4,
826 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
827 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);
828
829
830 ostei_general_vrr_I(5, 0, 7, 0, 3,
831 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
832 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);
833
834
835 ostei_general_vrr_I(6, 0, 7, 0, 2,
836 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
837 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);
838
839
840 ostei_general_vrr_I(7, 0, 7, 0, 1,
841 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
842 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);
843
844
845 ostei_general_vrr1_K(8, 12,
846 one_over_2q, a_over_q, aoq_PQ, Q_PA,
847 PRIM_INT__s_s_k_s, PRIM_INT__s_s_i_s, PRIM_INT__s_s_l_s);
848
849
850 ostei_general_vrr_I(1, 0, 8, 0, 7,
851 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
852 PRIM_INT__s_s_l_s, NULL, NULL, PRIM_INT__s_s_k_s, NULL, PRIM_INT__p_s_l_s);
853
854
855 ostei_general_vrr_I(2, 0, 8, 0, 6,
856 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
857 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);
858
859
860 ostei_general_vrr_I(3, 0, 8, 0, 5,
861 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
862 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);
863
864
865 ostei_general_vrr_I(4, 0, 8, 0, 4,
866 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
867 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);
868
869
870 ostei_general_vrr_I(5, 0, 8, 0, 3,
871 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
872 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);
873
874
875 ostei_general_vrr_I(6, 0, 8, 0, 2,
876 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
877 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);
878
879
880 ostei_general_vrr_I(7, 0, 8, 0, 1,
881 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
882 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);
883
884
885 ostei_general_vrr1_K(9, 11,
886 one_over_2q, a_over_q, aoq_PQ, Q_PA,
887 PRIM_INT__s_s_l_s, PRIM_INT__s_s_k_s, PRIM_INT__s_s_m_s);
888
889
890 ostei_general_vrr_I(1, 0, 9, 0, 7,
891 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
892 PRIM_INT__s_s_m_s, NULL, NULL, PRIM_INT__s_s_l_s, NULL, PRIM_INT__p_s_m_s);
893
894
895 ostei_general_vrr_I(2, 0, 9, 0, 6,
896 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
897 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);
898
899
900 ostei_general_vrr_I(3, 0, 9, 0, 5,
901 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
902 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);
903
904
905 ostei_general_vrr_I(4, 0, 9, 0, 4,
906 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
907 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);
908
909
910 ostei_general_vrr_I(5, 0, 9, 0, 3,
911 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
912 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);
913
914
915 ostei_general_vrr_I(6, 0, 9, 0, 2,
916 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
917 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);
918
919
920 ostei_general_vrr_I(7, 0, 9, 0, 1,
921 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
922 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);
923
924
925 ostei_general_vrr1_K(10, 10,
926 one_over_2q, a_over_q, aoq_PQ, Q_PA,
927 PRIM_INT__s_s_m_s, PRIM_INT__s_s_l_s, PRIM_INT__s_s_n_s);
928
929
930 ostei_general_vrr_I(1, 0, 10, 0, 7,
931 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
932 PRIM_INT__s_s_n_s, NULL, NULL, PRIM_INT__s_s_m_s, NULL, PRIM_INT__p_s_n_s);
933
934
935 ostei_general_vrr_I(2, 0, 10, 0, 6,
936 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
937 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);
938
939
940 ostei_general_vrr_I(3, 0, 10, 0, 5,
941 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
942 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);
943
944
945 ostei_general_vrr_I(4, 0, 10, 0, 4,
946 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
947 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);
948
949
950 ostei_general_vrr_I(5, 0, 10, 0, 3,
951 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
952 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);
953
954
955 ostei_general_vrr_I(6, 0, 10, 0, 2,
956 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
957 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);
958
959
960 ostei_general_vrr_I(7, 0, 10, 0, 1,
961 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
962 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);
963
964
965 ostei_general_vrr1_K(11, 9,
966 one_over_2q, a_over_q, aoq_PQ, Q_PA,
967 PRIM_INT__s_s_n_s, PRIM_INT__s_s_m_s, PRIM_INT__s_s_o_s);
968
969
970 ostei_general_vrr_I(1, 0, 11, 0, 7,
971 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
972 PRIM_INT__s_s_o_s, NULL, NULL, PRIM_INT__s_s_n_s, NULL, PRIM_INT__p_s_o_s);
973
974
975 ostei_general_vrr_I(2, 0, 11, 0, 6,
976 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
977 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);
978
979
980 ostei_general_vrr_I(3, 0, 11, 0, 5,
981 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
982 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);
983
984
985 ostei_general_vrr_I(4, 0, 11, 0, 4,
986 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
987 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);
988
989
990 ostei_general_vrr_I(5, 0, 11, 0, 3,
991 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
992 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);
993
994
995 ostei_general_vrr_I(6, 0, 11, 0, 2,
996 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
997 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);
998
999
1000 ostei_general_vrr_I(7, 0, 11, 0, 1,
1001 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1002 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);
1003
1004
1005 ostei_general_vrr1_K(12, 8,
1006 one_over_2q, a_over_q, aoq_PQ, Q_PA,
1007 PRIM_INT__s_s_o_s, PRIM_INT__s_s_n_s, PRIM_INT__s_s_q_s);
1008
1009
1010 ostei_general_vrr_I(1, 0, 12, 0, 7,
1011 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1012 PRIM_INT__s_s_q_s, NULL, NULL, PRIM_INT__s_s_o_s, NULL, PRIM_INT__p_s_q_s);
1013
1014
1015 ostei_general_vrr_I(2, 0, 12, 0, 6,
1016 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1017 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);
1018
1019
1020 ostei_general_vrr_I(3, 0, 12, 0, 5,
1021 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1022 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);
1023
1024
1025 ostei_general_vrr_I(4, 0, 12, 0, 4,
1026 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1027 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);
1028
1029
1030 ostei_general_vrr_I(5, 0, 12, 0, 3,
1031 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1032 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);
1033
1034
1035 ostei_general_vrr_I(6, 0, 12, 0, 2,
1036 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1037 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);
1038
1039
1040 ostei_general_vrr_I(7, 0, 12, 0, 1,
1041 one_over_2p, a_over_p, one_over_2pq, aop_PQ, P_PA,
1042 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);
1043
1044
1045
1046
1047 ////////////////////////////////////
1048 // Accumulate contracted integrals
1049 ////////////////////////////////////
1050 if(lastoffset == 0)
1051 {
1052 contract_all(1008, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1053 contract_all(1296, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1054 contract_all(1620, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1055 contract_all(1980, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
1056 contract_all(2376, PRIM_INT__k_s_n_s, PRIM_PTR_INT__k_s_n_s);
1057 contract_all(2808, PRIM_INT__k_s_o_s, PRIM_PTR_INT__k_s_o_s);
1058 contract_all(3276, PRIM_INT__k_s_q_s, PRIM_PTR_INT__k_s_q_s);
1059 }
1060 else
1061 {
1062 contract(1008, shelloffsets, PRIM_INT__k_s_i_s, PRIM_PTR_INT__k_s_i_s);
1063 contract(1296, shelloffsets, PRIM_INT__k_s_k_s, PRIM_PTR_INT__k_s_k_s);
1064 contract(1620, shelloffsets, PRIM_INT__k_s_l_s, PRIM_PTR_INT__k_s_l_s);
1065 contract(1980, shelloffsets, PRIM_INT__k_s_m_s, PRIM_PTR_INT__k_s_m_s);
1066 contract(2376, shelloffsets, PRIM_INT__k_s_n_s, PRIM_PTR_INT__k_s_n_s);
1067 contract(2808, shelloffsets, PRIM_INT__k_s_o_s, PRIM_PTR_INT__k_s_o_s);
1068 contract(3276, shelloffsets, PRIM_INT__k_s_q_s, PRIM_PTR_INT__k_s_q_s);
1069 PRIM_PTR_INT__k_s_i_s += lastoffset*1008;
1070 PRIM_PTR_INT__k_s_k_s += lastoffset*1296;
1071 PRIM_PTR_INT__k_s_l_s += lastoffset*1620;
1072 PRIM_PTR_INT__k_s_m_s += lastoffset*1980;
1073 PRIM_PTR_INT__k_s_n_s += lastoffset*2376;
1074 PRIM_PTR_INT__k_s_o_s += lastoffset*2808;
1075 PRIM_PTR_INT__k_s_q_s += lastoffset*3276;
1076 }
1077
1078 } // close loop over j
1079 } // close loop over i
1080
1081 //Advance to the next batch
1082 jstart = SIMINT_SIMD_ROUND(jend);
1083
1084 //////////////////////////////////////////////
1085 // Contracted integrals: Horizontal recurrance
1086 //////////////////////////////////////////////
1087
1088
1089
1090
1091 for(abcd = 0; abcd < nshellbatch; ++abcd, ++real_abcd)
1092 {
1093 const double hCD[3] = { Q.AB_x[cd+abcd], Q.AB_y[cd+abcd], Q.AB_z[cd+abcd] };
1094
1095 // set up HRR pointers
1096 double const * restrict HRR_INT__k_s_i_s = INT__k_s_i_s + abcd * 1008;
1097 double const * restrict HRR_INT__k_s_k_s = INT__k_s_k_s + abcd * 1296;
1098 double const * restrict HRR_INT__k_s_l_s = INT__k_s_l_s + abcd * 1620;
1099 double const * restrict HRR_INT__k_s_m_s = INT__k_s_m_s + abcd * 1980;
1100 double const * restrict HRR_INT__k_s_n_s = INT__k_s_n_s + abcd * 2376;
1101 double const * restrict HRR_INT__k_s_o_s = INT__k_s_o_s + abcd * 2808;
1102 double const * restrict HRR_INT__k_s_q_s = INT__k_s_q_s + abcd * 3276;
1103 double * restrict HRR_INT__k_s_i_i = INT__k_s_i_i + real_abcd * 28224;
1104
1105 // form INT__k_s_i_p
1106 ostei_general_hrr_L(7, 0, 6, 1, hCD, HRR_INT__k_s_k_s, HRR_INT__k_s_i_s, HRR_INT__k_s_i_p);
1107
1108 // form INT__k_s_k_p
1109 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);
1110
1111 // form INT__k_s_l_p
1112 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);
1113
1114 // form INT__k_s_m_p
1115 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);
1116
1117 // form INT__k_s_n_p
1118 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);
1119
1120 // form INT__k_s_o_p
1121 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);
1122
1123 // form INT__k_s_i_d
1124 ostei_general_hrr_L(7, 0, 6, 2, hCD, HRR_INT__k_s_k_p, HRR_INT__k_s_i_p, HRR_INT__k_s_i_d);
1125
1126 // form INT__k_s_k_d
1127 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);
1128
1129 // form INT__k_s_l_d
1130 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);
1131
1132 // form INT__k_s_m_d
1133 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);
1134
1135 // form INT__k_s_n_d
1136 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);
1137
1138 // form INT__k_s_i_f
1139 ostei_general_hrr_L(7, 0, 6, 3, hCD, HRR_INT__k_s_k_d, HRR_INT__k_s_i_d, HRR_INT__k_s_i_f);
1140
1141 // form INT__k_s_k_f
1142 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);
1143
1144 // form INT__k_s_l_f
1145 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);
1146
1147 // form INT__k_s_m_f
1148 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);
1149
1150 // form INT__k_s_i_g
1151 ostei_general_hrr_L(7, 0, 6, 4, hCD, HRR_INT__k_s_k_f, HRR_INT__k_s_i_f, HRR_INT__k_s_i_g);
1152
1153 // form INT__k_s_k_g
1154 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);
1155
1156 // form INT__k_s_l_g
1157 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);
1158
1159 // form INT__k_s_i_h
1160 ostei_general_hrr_L(7, 0, 6, 5, hCD, HRR_INT__k_s_k_g, HRR_INT__k_s_i_g, HRR_INT__k_s_i_h);
1161
1162 // form INT__k_s_k_h
1163 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);
1164
1165 // form INT__k_s_i_i
1166 ostei_general_hrr_L(7, 0, 6, 6, hCD, HRR_INT__k_s_k_h, HRR_INT__k_s_i_h, HRR_INT__k_s_i_i);
1167
1168
1169 } // close HRR loop
1170
1171
1172 } // close loop cdbatch
1173
1174 istart = iend;
1175 } // close loop over ab
1176
1177 return P.nshell12_clip * Q.nshell12_clip;
1178 }
1179
ostei_s_k_i_i(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_i_i)1180 int ostei_s_k_i_i(struct simint_multi_shellpair const P,
1181 struct simint_multi_shellpair const Q,
1182 double screen_tol,
1183 double * const restrict work,
1184 double * const restrict INT__s_k_i_i)
1185 {
1186 double P_AB[3*P.nshell12];
1187 struct simint_multi_shellpair P_tmp = P;
1188 P_tmp.PA_x = P.PB_x; P_tmp.PA_y = P.PB_y; P_tmp.PA_z = P.PB_z;
1189 P_tmp.PB_x = P.PA_x; P_tmp.PB_y = P.PA_y; P_tmp.PB_z = P.PA_z;
1190 P_tmp.AB_x = P_AB;
1191 P_tmp.AB_y = P_AB + P.nshell12;
1192 P_tmp.AB_z = P_AB + 2*P.nshell12;
1193
1194 for(int i = 0; i < P.nshell12; i++)
1195 {
1196 P_tmp.AB_x[i] = -P.AB_x[i];
1197 P_tmp.AB_y[i] = -P.AB_y[i];
1198 P_tmp.AB_z[i] = -P.AB_z[i];
1199 }
1200
1201 int ret = ostei_k_s_i_i(P_tmp, Q, screen_tol, work, INT__s_k_i_i);
1202 double buffer[28224] SIMINT_ALIGN_ARRAY_DBL;
1203
1204 for(int q = 0; q < ret; q++)
1205 {
1206 int idx = 0;
1207 for(int a = 0; a < 1; ++a)
1208 for(int b = 0; b < 36; ++b)
1209 for(int c = 0; c < 28; ++c)
1210 for(int d = 0; d < 28; ++d)
1211 buffer[idx++] = INT__s_k_i_i[q*28224+b*784+a*784+c*28+d];
1212
1213 memcpy(INT__s_k_i_i+q*28224, buffer, 28224*sizeof(double));
1214 }
1215
1216 return ret;
1217 }
1218
1219