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authormzuenni <mzuenni@users.noreply.github.com>2024-07-28 22:54:40 +0200
committerGitHub <noreply@github.com>2024-07-28 22:54:40 +0200
commit8d11c6c8213f46f0fa19826917c255edd5d43cb1 (patch)
tree96d75baff33d5a04b5a60f1a41f514a26c716874 /content/math/transforms/fft.cpp
parent8c33b4e0d3030cfed17fc64b4fe41133339f6d87 (diff)
Test (#4)
* update * moved content in subdir * rename file * add test setup * add test setup * add github action * automaticly test all cpp files * timeout after 10s * setulimit and dont zero memory * test build pdf * install latexmk * update * update * ngerman * fonts * removed old code * add first test * added tests * test in sorted order * more tests * simplified test * more tests * fix suffix tree * fixes and improvements * done ust lst directly * fix swap * add links to pdf * fix constants * add primorial * add comment * various improvements * more tests * added missing stuf * more tests * fix tests * more tests * more tests * more tests * fix recursion? * test trie * more tests * only use python temporarily for listings * only use python temporarily for listings * more tests * fix longestCommonSubstring * more tests * more tests * made code more similiar * fix? * more tests * more tests * more tests * add ahoCorasick test + limit 4GB stack size * more tests * fix test * add additional test * more tests * more tests * fix? * better fix * fix virtual tree * more tests * more tests * recursive closest pair * more tests * decrease limit * new tests * more tests * fix name * more tests * add test * new test * more tests * more tests * more tests * more tests * new test and content * new code * new code * larger tests * fix and test * new test * new test * update pdf * remove comments * new test * more tests * more testcases * more tests * increased limit * more tests * more tests * more tests * new tests * more tests * shortened code * new test * add basic tests for bigint * more tests * removed old files * new test * ignore some files * more auto more ccw * fix test * more tests * fix * new tests * more tests * more tests * stronger test * actually verify delaunay... * more tests * fix header * more tests * run tests parallel? * test parralel? * add --missing * separate workflows * test * is the pdf checked? * separate workflows * fix workflow * more workflows --------- Co-authored-by: Yidi <noob999noob999@gmail.com>
Diffstat (limited to 'content/math/transforms/fft.cpp')
-rw-r--r--content/math/transforms/fft.cpp23
1 files changed, 23 insertions, 0 deletions
diff --git a/content/math/transforms/fft.cpp b/content/math/transforms/fft.cpp
new file mode 100644
index 0000000..2bd95b2
--- /dev/null
+++ b/content/math/transforms/fft.cpp
@@ -0,0 +1,23 @@
+using cplx = complex<double>;
+
+void fft(vector<cplx>& a, bool inv = false) {
+ int n = sz(a);
+ for (int i = 0, j = 1; j < n - 1; ++j) {
+ for (int k = n >> 1; k > (i ^= k); k >>= 1);
+ if (j < i) swap(a[i], a[j]);
+ }
+ static vector<cplx> ws(2, 1);
+ for (static int k = 2; k < n; k *= 2) {
+ ws.resize(n);
+ cplx w = polar(1.0, acos(-1.0) / k);
+ for (int i=k; i<2*k; i++) ws[i] = ws[i/2] * (i % 2 ? w : 1);
+ }
+ for (int s = 1; s < n; s *= 2) {
+ for (int j = 0; j < n; j += 2 * s) {
+ for (int k = 0; k < s; k++) {
+ cplx u = a[j + k], t = a[j + s + k];
+ t *= (inv ? conj(ws[s + k]) : ws[s + k]);
+ a[j + k] = u + t;
+ a[j + s + k] = u - t;
+ if (inv) a[j + k] /= 2, a[j + s + k] /= 2;
+}}}}