From 8d11c6c8213f46f0fa19826917c255edd5d43cb1 Mon Sep 17 00:00:00 2001 From: mzuenni Date: Sun, 28 Jul 2024 22:54:40 +0200 Subject: 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 --- content/math/piLehmer.cpp | 52 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 52 insertions(+) create mode 100644 content/math/piLehmer.cpp (limited to 'content/math/piLehmer.cpp') diff --git a/content/math/piLehmer.cpp b/content/math/piLehmer.cpp new file mode 100644 index 0000000..17df85e --- /dev/null +++ b/content/math/piLehmer.cpp @@ -0,0 +1,52 @@ +constexpr ll cacheA = 2 * 3 * 5 * 7 * 11 * 13 * 17; +constexpr ll cacheB = 7; +ll memoA[cacheA + 1][cacheB + 1]; +ll memoB[cacheB + 1]; +ll memoC[N]; + +void init() { + primeSieve(); // @\sourceref{math/primeSieve.cpp}@ + for (ll i = 0; i < N; i++) { + memoC[i] = memoC[i - 1]; + if (isPrime(i)) memoC[i]++; + } + memoB[0] = 1; + for(ll i = 0; i <= cacheA; i++) memoA[i][0] = i; + for(ll i = 1; i <= cacheB; i++) { + memoB[i] = primes[i - 1] * memoB[i - 1]; + for(ll j = 1; j <= cacheA; j++) { + memoA[j][i] = memoA[j][i - 1] - memoA[j / + primes[i - 1]][i - 1]; +}}} + +ll phi(ll n, ll k) { + if(k == 0) return n; + if(k <= cacheB) + return memoA[n % memoB[k]][k] + + (n / memoB[k]) * memoA[memoB[k]][k]; + if(n <= primes[k - 1]*primes[k - 1]) return memoC[n] - k + 1; + if(n <= primes[k - 1]*primes[k - 1]*primes[k - 1] && n < N) { + ll b = memoC[(ll)sqrtl(n)]; + ll res = memoC[n] - (b + k - 2) * (b - k + 1) / 2; + for(ll i = k; i < b; i++) res += memoC[n / primes[i]]; + return res; + } + return phi(n, k - 1) - phi(n / primes[k - 1], k - 1); +} + +ll pi(ll n) { + if (n < N) return memoC[n]; + ll a = pi(sqrtl(sqrtl(n))); + ll b = pi(sqrtl(n)); + ll c = pi(cbrtl(n)); + ll res = phi(n, a) + (b + a - 2) * (b - a + 1) / 2; + for (ll i = a; i < b; i++) { + ll w = n / primes[i]; + res -= pi(w); + if (i > c) continue; + ll bi = pi(sqrtl(w)); + for (ll j = i; j < bi; j++) { + res -= pi(w / primes[j]) - j; + }} + return res; +} -- cgit v1.2.3