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| author | mzuenni <mzuenni@users.noreply.github.com> | 2024-07-28 22:54:40 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2024-07-28 22:54:40 +0200 |
| commit | 8d11c6c8213f46f0fa19826917c255edd5d43cb1 (patch) | |
| tree | 96d75baff33d5a04b5a60f1a41f514a26c716874 /content/math/linearSieve.cpp | |
| parent | 8c33b4e0d3030cfed17fc64b4fe41133339f6d87 (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/linearSieve.cpp')
| -rw-r--r-- | content/math/linearSieve.cpp | 50 |
1 files changed, 50 insertions, 0 deletions
diff --git a/content/math/linearSieve.cpp b/content/math/linearSieve.cpp new file mode 100644 index 0000000..64440dd --- /dev/null +++ b/content/math/linearSieve.cpp @@ -0,0 +1,50 @@ +constexpr ll N = 10'000'000; +ll small[N], power[N], sieved[N]; +vector<ll> primes; + +//wird aufgerufen mit (p^k, p, k) für prime p und k > 0 +ll mu(ll pk, ll p, ll k) {return -(k == 1);} +ll phi(ll pk, ll p, ll k) {return pk - pk / p;} +ll div(ll pk, ll p, ll k) {return k+1;} +ll divSum(ll pk, ll p, ll k) {return (pk*p-1) / (p - 1);} +ll square(ll pk, ll p, ll k) {return k % 2 ? pk / p : pk;} +ll squareFree(ll pk, ll p, ll k) {return p;} + +void sieve() { // O(N) + small[1] = power[1] = sieved[1] = 1; + for (ll i = 2; i < N; i++) { + if (small[i] == 0) { + primes.push_back(i); + for (ll pk = i, k = 1; pk < N; pk *= i, k++) { + small[pk] = i; + power[pk] = pk; + sieved[pk] = mu(pk, i, k); // Aufruf ändern! + }} + for (ll j=0; i*primes[j] < N && primes[j] < small[i]; j++) { + ll k = i * primes[j]; + small[k] = power[k] = primes[j]; + sieved[k] = sieved[i] * sieved[primes[j]]; + } + if (i * small[i] < N && power[i] != i) { + ll k = i * small[i]; + small[k] = small[i]; + power[k] = power[i] * small[i]; + sieved[k] = sieved[power[k]] * sieved[k / power[k]]; +}}} + +ll naive(ll n) { // O(sqrt(n)) + ll res = 1; + for (ll p = 2; p * p <= n; p++) { + if (n % p == 0) { + ll pk = 1; + ll k = 0; + do { + n /= p; + pk *= p; + k++; + } while (n % p == 0); + res *= mu(pk, p, k); // Aufruf ändern! + }} + if (n > 1) res *= mu(n, n, 1); + return res; +} |
