test/cpv_local/lalg/sherman_morrison.cpp
| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | // competitive-verifier: STANDALONE | ||
| 2 | |||
| 3 | #include "../../../src/lalg/ds/mat/lib.hpp" | ||
| 4 | #include "../../../src/lalg/mat/ge/lib.hpp" | ||
| 5 | #include "../../../src/lalg/mat/inv/lib.hpp" | ||
| 6 | #include "../../../src/lalg/mat/sherman_morrison/lib.hpp" | ||
| 7 | #include "../../../src/math/ds/mint/be61n1/lib.hpp" | ||
| 8 | #include "../../../src/math/ds/mint/md/lib.hpp" | ||
| 9 | #include "../../../src/math/ds/mint/md64/lib.hpp" | ||
| 10 | #include "../../../src/math/ds/mint/ms/lib.hpp" | ||
| 11 | #include "../../../src/math/ds/mint/ms64/lib.hpp" | ||
| 12 | #include "../../../src/util/rand/lib.hpp" | ||
| 13 | #include "../base.hpp" | ||
| 14 | |||
| 15 | using namespace tifa_libs; | ||
| 16 | template <class mint> | ||
| 17 | 25 | void single_test(u32 n) { | |
| 18 | 25 | rand_gen<u32> gen(1, std::numeric_limits<u32>::max()); | |
| 19 | using mat = matrix<mint>; | ||
| 20 | auto is_0 = [](cT_(mint) x) { return x.val() == 0; }; | ||
| 21 | 25 | auto ge = [&is_0](mat& m, bool f) { return ge_mat(m, is_0, f); }; | |
| 22 | |||
| 23 | 25 | mat L(n, n), U(n, n); | |
| 24 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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545 | flt_ (u32, i, 0, n) |
| 25 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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8320 | flt_ (u32, j, 0, i + 1) L(i, j) = gen(); |
| 26 |
10/10void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_2e61n1_tag> >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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545 | flt_ (u32, i, 0, n) |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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8320 | flt_ (u32, j, i, n) U(i, j) = gen(); |
| 28 | |||
| 29 | 25 | mat I(n, n); | |
| 30 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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545 | flt_ (u32, i, 0, n) I(i, i) = 1; |
| 31 | |||
| 32 | 25 | mat A = L * U; | |
| 33 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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25 | mat inv_A = inv_mat(A, is_0, ge).value(); |
| 34 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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25 | check(A * inv_A, I, check_param(L), check_param(U), check_param(A), check_param(inv_A)); |
| 35 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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25 | mat B = inv_A; |
| 36 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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75 | vec<mint> u(n), v(n); |
| 37 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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545 | flt_ (u32, i, 0, n) { |
| 38 | 520 | u[i] = A(i, n - 1); | |
| 39 | 520 | v[i] = A(n - 1, i); | |
| 40 | } | ||
| 41 |
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25 | timer_(sherman_morrison(B, u, v)); |
| 42 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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25 | mat A2 = A + A.submat(0, n, n - 1, n) * A.submat(n - 1, n, 0, n); |
| 43 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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545 | flt_ (u32, i, 0, n) |
| 44 |
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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15600 | flt_ (u32, j, 0, n) { |
| 45 | 15080 | mint want = A(i, j) + u[i] * v[j]; | |
| 46 |
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15080 | check(A2(i, j), want, check_param(A), check_param(u), check_param(v), check_param(A2)); |
| 47 | } | ||
| 48 |
20/40void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_2e61n1_tag> >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<55l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<54l> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<3799912185593857ul> > >(unsigned int):
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void single_test<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >(unsigned int):
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25 | check(B * A2, I, check_param(A), check_param(A2), check_param(B)); |
| 49 | 25 | } | |
| 50 | |||
| 51 | CEXP u32 MOD = 998244353; | ||
| 52 | CEXP u64 MOD64 = 3'799'912'185'593'857; | ||
| 53 | |||
| 54 | using mintd31 = mint_md<__LINE__>; | ||
| 55 | using mintd63 = mint_md64<__LINE__>; | ||
| 56 | using mints30 = mint_ms<MOD>; | ||
| 57 | using mints63 = mint_ms64<MOD64>; | ||
| 58 | |||
| 59 | 5 | void test(u32 n) { | |
| 60 | 5 | single_test<mint_2e61n1>(n); | |
| 61 | 5 | single_test<mintd31>(n); | |
| 62 | 5 | single_test<mintd63>(n); | |
| 63 | 5 | single_test<mints30>(n); | |
| 64 | 5 | single_test<mints63>(n); | |
| 65 | 5 | } | |
| 66 | |||
| 67 | 1 | int main() { | |
| 68 | 1 | mintd31::set_mod(MOD); | |
| 69 | 1 | mintd63::set_mod(MOD64); | |
| 70 | |||
| 71 |
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1 | timer_(test(4)); |
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1 | timer_(test(10)); |
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1 | timer_(test(20)); |
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1 | timer_(test(30)); |
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1 | timer_(test(40)); |
| 76 | 1 | } | |
| 77 |