// parameters and data for [Cra] algorithm
const cln::cl_N lambda = cln::cl_N("319/320");
-int L2;
-std::vector<cln::cl_N> crB;
-std::vector<std::vector<cln::cl_N> > crG;
-std::vector<cln::cl_N> crX;
-
void halfcyclic_convolute(const std::vector<cln::cl_N>& a, const std::vector<cln::cl_N>& b, std::vector<cln::cl_N>& c)
{
// [Cra] section 4
-void initcX(const std::vector<int>& s)
+static void initcX(std::vector<cln::cl_N>& crX,
+ const std::vector<int>& s,
+ const int L2)
{
- const int k = s.size();
-
- crX.clear();
- crG.clear();
- crB.clear();
-
- for (int i=0; i<=L2; i++) {
- crB.push_back(bernoulli(i).to_cl_N() / cln::factorial(i));
- }
+ std::vector<cln::cl_N> crB(L2 + 1);
+ for (int i=0; i<=L2; i++)
+ crB[i] = bernoulli(i).to_cl_N() / cln::factorial(i);
int Sm = 0;
int Smp1 = 0;
- for (int m=0; m<k-1; m++) {
- std::vector<cln::cl_N> crGbuf;
- Sm = Sm + s[m];
+ std::vector<std::vector<cln::cl_N> > crG(s.size() - 1, std::vector<cln::cl_N>(L2 + 1));
+ for (int m=0; m < s.size() - 1; m++) {
+ Sm += s[m];
Smp1 = Sm + s[m+1];
- for (int i=0; i<=L2; i++) {
- crGbuf.push_back(cln::factorial(i + Sm - m - 2) / cln::factorial(i + Smp1 - m - 2));
- }
- crG.push_back(crGbuf);
+ for (int i = 0; i <= L2; i++)
+ crG[m][i] = cln::factorial(i + Sm - m - 2) / cln::factorial(i + Smp1 - m - 2);
}
crX = crB;
- for (int m=0; m<k-1; m++) {
- std::vector<cln::cl_N> Xbuf;
- for (int i=0; i<=L2; i++) {
- Xbuf.push_back(crX[i] * crG[m][i]);
- }
+ for (std::size_t m = 0; m < s.size() - 1; m++) {
+ std::vector<cln::cl_N> Xbuf(L2 + 1);
+ for (int i = 0; i <= L2; i++)
+ Xbuf[i] = crX[i] * crG[m][i];
+
halfcyclic_convolute(Xbuf, crB, crX);
}
}
// [Cra] section 4
-cln::cl_N crandall_Y_loop(const cln::cl_N& Sqk)
+static cln::cl_N crandall_Y_loop(const cln::cl_N& Sqk,
+ const std::vector<cln::cl_N>& crX)
{
cln::cl_F one = cln::cl_float(1, cln::float_format(Digits));
cln::cl_N factor = cln::expt(lambda, Sqk);
L1 = Digits * 3 + j*2;
}
+ std::size_t L2;
// decide on maximal size of crX for crandall_Y
if (Digits < 38) {
L2 = 63;
Srun -= skp1buf;
r.pop_back();
- initcX(r);
+ std::vector<cln::cl_N> crX;
+ initcX(crX, r, L2);
for (int q=0; q<skp1buf; q++) {
- cln::cl_N pp1 = crandall_Y_loop(Srun+q-k);
+ cln::cl_N pp1 = crandall_Y_loop(Srun+q-k, crX);
cln::cl_N pp2 = crandall_Z(rz, f_kj);
rz.front()--;
}
rz.insert(rz.begin(), r.back());
- initcX(rz);
+ std::vector<cln::cl_N> crX;
+ initcX(crX, rz, L2);
- res = (res + crandall_Y_loop(S-j)) / r0factorial + crandall_Z(rz, f_kj);
+ res = (res + crandall_Y_loop(S-j, crX)) / r0factorial
+ + crandall_Z(rz, f_kj);
return res;
}