diff options
Diffstat (limited to 'math/transforms/seriesOperations.cpp')
| -rw-r--r-- | math/transforms/seriesOperations.cpp | 56 |
1 files changed, 0 insertions, 56 deletions
diff --git a/math/transforms/seriesOperations.cpp b/math/transforms/seriesOperations.cpp deleted file mode 100644 index 4743674..0000000 --- a/math/transforms/seriesOperations.cpp +++ /dev/null @@ -1,56 +0,0 @@ -vector<ll> poly_inv(const vector<ll>& a, int n) { - vector<ll> q = {powMod(a[0], mod-2, mod)}; - for (int len = 1; len < n; len *= 2){ - vector<ll> a2 = a, q2 = q; - a2.resize(2*len), q2.resize(2*len); - ntt(q2); - for (int j : {0, 1}) { - ntt(a2); - for (int i = 0; i < 2*len; i++) a2[i] = a2[i]*q2[i] % mod; - ntt(a2, true); - for (int i = 0; i < len; i++) a2[i] = 0; - } - for (int i = len; i < min(n, 2*len); i++) { - q.push_back((mod - a2[i]) % mod); - }} - return q; -} - -vector<ll> poly_deriv(vector<ll> a) { - for (int i = 1; i < sz(a); i++) - a[i-1] = a[i] * i % mod; - a.pop_back(); - return a; -} - -vector<ll> poly_integr(vector<ll> a) { - if (a.empty()) return {0}; - a.push_back(a.back() * powMod(sz(a), mod-2, mod) % mod); - for (int i = sz(a)-2; i > 0; i--) - a[i] = a[i-1] * powMod(i, mod-2, mod) % mod; - a[0] = 0; - return a; -} - -vector<ll> poly_log(vector<ll> a, int n) { - a = mul(poly_deriv(a), poly_inv(a, n)); - a.resize(n-1); - a = poly_integr(a); - return a; -} - -vector<ll> poly_exp(vector<ll> a, int n) { - vector<ll> q = {1}; - for (int len = 1; len < n; len *= 2) { - vector<ll> p = poly_log(q, 2*len); - for (int i = 0; i < 2*len; i++) - p[i] = (mod - p[i] + (i < sz(a) ? a[i] : 0)) % mod; - vector<ll> q2 = q; - q2.resize(2*len); - ntt(p), ntt(q2); - for (int i = 0; i < 2*len; i++) p[i] = p[i] * q2[i] % mod; - ntt(p, true); - for (int i = len; i < min(n, 2*len); i++) q.push_back(p[i]); - } - return q; -} |
