test/cpv_local/geo2d/triangle_centers.cpp
| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | // competitive-verifier: STANDALONE | ||
| 2 | |||
| 3 | #include "../../../src/geo2d/ang_pp/lib.hpp" | ||
| 4 | #include "../../../src/geo2d/area_triedges/lib.hpp" | ||
| 5 | #include "../../../src/geo2d/dis/pl/lib.hpp" | ||
| 6 | #include "../../../src/geo2d/pred/is_in_middle_p/lib.hpp" | ||
| 7 | #include "../../../src/geo2d/tcenter/e/lib.hpp" | ||
| 8 | #include "../../../src/geo2d/tcenter/g/lib.hpp" | ||
| 9 | #include "../../../src/geo2d/tcenter/h/lib.hpp" | ||
| 10 | #include "../../../src/geo2d/tcenter/i/lib.hpp" | ||
| 11 | #include "../../../src/geo2d/tcenter/n/lib.hpp" | ||
| 12 | #include "../../../src/geo2d/tcenter/o/lib.hpp" | ||
| 13 | #include "../../../src/geo2d/tcenter/x/lib.hpp" | ||
| 14 | #include "../../../src/util/rand/lib.hpp" | ||
| 15 | #include "../base.hpp" | ||
| 16 | |||
| 17 | using namespace tifa_libs; | ||
| 18 | |||
| 19 | template <class T> | ||
| 20 | 4 | void test_e(triangle<T> CR t) { | |
| 21 | 4 | point<T> ea = center_EA(t), eb = center_EB(t), ec = center_EC(t); | |
| 22 | 4 | point<T> i = center_I(t); | |
| 23 | 4 | point<T> he = center_H(triangle<T>(ea, eb, ec)); | |
| 24 | |||
| 25 |
10/20void test_e<double>(tifa_libs::triangle<double> const&):
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void test_e<long double>(tifa_libs::triangle<long double> const&):
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4 | check(he, i, check_param(t), check_param(ea), check_param(eb), check_param(ec)); |
| 26 | 4 | } | |
| 27 | |||
| 28 | template <class T> | ||
| 29 | 4 | void test_g(triangle<T> CR t) { | |
| 30 | 4 | point<T> g = center_G(t); | |
| 31 | 4 | point<T> mab = mid_point(t.A, t.B), mbc = mid_point(t.B, t.C), mca = mid_point(t.C, t.A); | |
| 32 | |||
| 33 |
8/16void test_g<double>(tifa_libs::triangle<double> const&):
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void test_g<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_in_middle(t.A, g, mbc), check_param(t), check_param(g), check_param(mbc)); |
| 34 |
8/16void test_g<double>(tifa_libs::triangle<double> const&):
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void test_g<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_in_middle(t.B, g, mca), check_param(t), check_param(g), check_param(mca)); |
| 35 |
8/16void test_g<double>(tifa_libs::triangle<double> const&):
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void test_g<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_in_middle(t.C, g, mab), check_param(t), check_param(g), check_param(mab)); |
| 36 | 4 | } | |
| 37 | |||
| 38 | template <class T> | ||
| 39 | 4 | void test_h(triangle<T> CR t) { | |
| 40 | 4 | point<T> h = center_H(t); | |
| 41 | 4 | point<T> uva = (t.A - h).do_unit(), uvb = (t.B - h).do_unit(), uvc = (t.C - h).do_unit(); | |
| 42 | 4 | point<T> uab = (t.A - t.B).do_unit(), ubc = (t.B - t.C).do_unit(), uca = (t.C - t.A).do_unit(); | |
| 43 | |||
| 44 |
10/20void test_h<double>(tifa_libs::triangle<double> const&):
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void test_h<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_zero(uva * ubc), check_param(t), check_param(h), check_param(uva), check_param(ubc)); |
| 45 |
10/20void test_h<double>(tifa_libs::triangle<double> const&):
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void test_h<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_zero(uvb * uca), check_param(t), check_param(h), check_param(uva), check_param(uca)); |
| 46 |
10/20void test_h<double>(tifa_libs::triangle<double> const&):
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void test_h<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_zero(uvc * uab), check_param(t), check_param(h), check_param(uva), check_param(uab)); |
| 47 | |||
| 48 | 4 | line<T> lab(t.A, t.B), lbc(t.B, t.C), lca(t.C, t.A); | |
| 49 | 4 | T dist_ah = dist_PP(t.A, h), dist_bh = dist_PP(t.B, h), dist_ch = dist_PP(t.C, h); | |
| 50 | 4 | T dist_hd = dist_PL(h, lbc), dist_he = dist_PL(h, lca), dist_hf = dist_PL(h, lab); | |
| 51 | |||
| 52 |
22/44void test_h<double>(tifa_libs::triangle<double> const&):
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void test_h<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(dist_ah * dist_hd, dist_bh * dist_he) && is_eq(dist_bh * dist_he, dist_ch * dist_hf), check_param(t), check_param(h), check_param(dist_ah), check_param(dist_bh), check_param(dist_ch), check_param(dist_hd), check_param(dist_he), check_param(dist_hf)); |
| 53 | 4 | } | |
| 54 | |||
| 55 | template <class T> | ||
| 56 | 4 | void test_i(triangle<T> CR t) { | |
| 57 | 4 | point<T> i = center_I(t); | |
| 58 | |||
| 59 | 4 | T dist_ai = dist_PP(t.A, i), dist_bi = dist_PP(t.B, i), dist_ci = dist_PP(t.C, i); | |
| 60 | 4 | auto [a, b, c] = t.edges(); | |
| 61 | 4 | T R = radius_O(t), r = radius_I(t); | |
| 62 | |||
| 63 |
18/36void test_i<double>(tifa_libs::triangle<double> const&):
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void test_i<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(dist_ai * dist_ai / (b * c) + dist_bi * dist_bi / (c * a) + dist_ci * dist_ci / (a * b), (T)1), check_param(t), check_param(i), check_param(dist_ai), check_param(dist_bi), check_param(dist_ci), check_param(c), check_param(a), check_param(b)); |
| 64 |
16/32void test_i<double>(tifa_libs::triangle<double> const&):
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void test_i<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(dist_ai * dist_bi * dist_ci, 4 * R * r * r), check_param(t), check_param(i), check_param(R), check_param(r), check_param(dist_ai), check_param(dist_bi), check_param(dist_ci)); |
| 65 | |||
| 66 | 4 | T ang_cai = ang2pi_PP(t.C - t.A, i - t.A), ang_iab = ang2pi_PP(i - t.A, t.B - t.A); | |
| 67 | 4 | T ang_abi = ang2pi_PP(t.A - t.B, i - t.B), ang_ibc = ang2pi_PP(i - t.B, t.C - t.B); | |
| 68 | 4 | T ang_bci = ang2pi_PP(t.B - t.C, i - t.C), ang_ica = ang2pi_PP(i - t.C, t.A - t.C); | |
| 69 | |||
| 70 |
10/20void test_i<double>(tifa_libs::triangle<double> const&):
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void test_i<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(ang_cai, ang_iab), check_param(t), check_param(i), check_param(ang_cai), check_param(ang_iab)); |
| 71 |
10/20void test_i<double>(tifa_libs::triangle<double> const&):
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void test_i<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(ang_abi, ang_ibc), check_param(t), check_param(i), check_param(ang_abi), check_param(ang_ibc)); |
| 72 |
10/20void test_i<double>(tifa_libs::triangle<double> const&):
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void test_i<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(ang_bci, ang_ica), check_param(t), check_param(i), check_param(ang_bci), check_param(ang_ica)); |
| 73 | 4 | } | |
| 74 | |||
| 75 | template <class T> | ||
| 76 | 4 | void test_o(triangle<T> CR t) { | |
| 77 | 4 | point<T> o = center_O(t); | |
| 78 | |||
| 79 | 4 | T R = radius_O(t), diam = R * 2; | |
| 80 | 4 | T dist_ao = dist_PP(t.A, o), dist_bo = dist_PP(t.B, o), dist_co = dist_PP(t.C, o); | |
| 81 | |||
| 82 |
8/16void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(R, dist_ao), check_param(t), check_param(R), check_param(dist_ao)); |
| 83 |
8/16void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(R, dist_bo), check_param(t), check_param(R), check_param(dist_bo)); |
| 84 |
8/16void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(R, dist_co), check_param(t), check_param(R), check_param(dist_co)); |
| 85 | |||
| 86 | 4 | auto [a, b, c] = t.edges(); | |
| 87 | 4 | auto [A, B, C] = t.angles(); | |
| 88 | 4 | T das = a / std::sin(A), dbs = b / std::sin(B), dcs = c / std::sin(C); | |
| 89 | |||
| 90 |
12/24void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(diam, das), check_param(t), check_param(diam), check_param(das), check_param(a), check_param(A)); |
| 91 |
12/24void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(diam, dbs), check_param(t), check_param(diam), check_param(dbs), check_param(b), check_param(B)); |
| 92 |
12/24void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(diam, dcs), check_param(t), check_param(diam), check_param(dcs), check_param(c), check_param(C)); |
| 93 | |||
| 94 | 4 | T area = area_T_abc(a, b, c); | |
| 95 | 4 | T ds = std::sqrt(2 * area / (std::sin(A) * std::sin(B) * std::sin(C))); | |
| 96 | 4 | T ds2 = a * b * c / (2 * area); | |
| 97 | |||
| 98 |
16/32void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(diam, ds), check_param(t), check_param(diam), check_param(ds), check_param(area), check_param(A), check_param(B), check_param(C)); |
| 99 |
16/32void test_o<double>(tifa_libs::triangle<double> const&):
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void test_o<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(diam, ds2), check_param(t), check_param(diam), check_param(ds2), check_param(area), check_param(a), check_param(b), check_param(c)); |
| 100 | 4 | } | |
| 101 | |||
| 102 | template <class T> | ||
| 103 | 4 | void test_n(triangle<T> CR t) { | |
| 104 | 4 | point<T> n = center_N(t); | |
| 105 | 4 | point<T> o = center_O(t), h = center_H(t), g = center_G(t), i = center_I(t); | |
| 106 | |||
| 107 |
10/20void test_n<double>(tifa_libs::triangle<double> const&):
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void test_n<long double>(tifa_libs::triangle<long double> const&):
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4 | check(n, mid_point(o, h), check_param(t), check_param(n), check_param(o), check_param(h)); |
| 108 |
10/20void test_n<double>(tifa_libs::triangle<double> const&):
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void test_n<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_zero(cross_unit(n, o, g)), check_param(t), check_param(n), check_param(o), check_param(g)); |
| 109 | |||
| 110 | 4 | T no = dist_PP(n, o), nh = dist_PP(n, h), ng = dist_PP(n, g); | |
| 111 | |||
| 112 |
22/44void test_n<double>(tifa_libs::triangle<double> const&):
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void test_n<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(no, nh) && is_eq(nh, ng * 3), check_param(t), check_param(n), check_param(o), check_param(h), check_param(g), check_param(no), check_param(nh), check_param(ng)); |
| 113 | |||
| 114 | 4 | T R = radius_O(t), r = radius_I(t); | |
| 115 | 4 | T ni = dist_PP(n, i), oi = dist_PP(o, i); | |
| 116 | |||
| 117 |
14/28void test_n<double>(tifa_libs::triangle<double> const&):
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void test_n<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(ni, R / 2 - r), check_param(t), check_param(n), check_param(i), check_param(ni), check_param(R), check_param(r)); |
| 118 |
14/28void test_n<double>(tifa_libs::triangle<double> const&):
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void test_n<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool(is_eq(2 * R * ni, oi * oi), check_param(t), check_param(n), check_param(i), check_param(ni), check_param(oi), check_param(R)); |
| 119 | 4 | } | |
| 120 | |||
| 121 | template <class T> | ||
| 122 | 4 | void test_x(triangle<T> CR t) { | |
| 123 | 4 | point<T> x = center_X(t); | |
| 124 | 4 | point<T> uva = (t.A - x).do_unit(), uvb = (t.B - x).do_unit(), uvc = (t.C - x).do_unit(); | |
| 125 | 4 | T ang_axb = std::abs(ang_PP(uva, uvb)), ang_bxc = std::abs(ang_PP(uvb, uvc)), ang_cxa = std::abs(ang_PP(uvc, uva)); | |
| 126 | |||
| 127 | 4 | CEXP T _60 = pi_v<T> / 3, _120 = pi_v<T> / 1.5; | |
| 128 | |||
| 129 |
32/84void test_x<double>(tifa_libs::triangle<double> const&):
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void test_x<long double>(tifa_libs::triangle<long double> const&):
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4 | check_bool((is_eq(ang_axb, _120) && is_eq(ang_bxc, _120) && is_eq(ang_cxa, _120)) || |
| 130 | (is_eq(ang_axb, _60) && is_eq(ang_bxc, _60) && is_eq(ang_cxa, _120)) || | ||
| 131 | (is_eq(ang_axb, _120) && is_eq(ang_bxc, _60) && is_eq(ang_cxa, _60)) || | ||
| 132 | (is_eq(ang_axb, _60) && is_eq(ang_bxc, _120) && is_eq(ang_cxa, _60)), | ||
| 133 | check_param(t), check_param(x), check_param(uva), check_param(uvb), check_param(uvc), check_param(ang_axb), check_param(ang_bxc), check_param(ang_cxa)); | ||
| 134 | 4 | } | |
| 135 | |||
| 136 | template <arithm_c T> | ||
| 137 | 4 | void test(T lim) { | |
| 138 | 4 | rand_gen<T> g(std::is_signed_v<T> ? -lim : 0, lim); | |
| 139 | |||
| 140 | 4 | triangle<T> t(point<T>(g(), g()), point<T>(g(), g()), point<T>(g(), g())); | |
| 141 | |||
| 142 |
8/16void test<double>(double):
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void test<long double>(long double):
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4 | timer_(test_e(t)); |
| 143 |
8/16void test<double>(double):
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void test<long double>(long double):
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4 | timer_(test_g(t)); |
| 144 |
8/16void test<double>(double):
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void test<long double>(long double):
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4 | timer_(test_h(t)); |
| 145 |
8/16void test<double>(double):
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void test<long double>(long double):
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4 | timer_(test_i(t)); |
| 146 |
8/16void test<double>(double):
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4 | timer_(test_o(t)); |
| 147 |
8/16void test<double>(double):
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4 | timer_(test_n(t)); |
| 148 |
8/16void test<double>(double):
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4 | timer_(test_x(t)); |
| 149 | 4 | } | |
| 150 | |||
| 151 | 1 | int main() { | |
| 152 |
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1 | timer_(test<f64>(1e5)); |
| 153 |
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1 | timer_(test<f128>(1e5)); |
| 154 |
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1 | timer_(test<f64>(1e9)); |
| 155 |
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1 | timer_(test<f128>(1e9)); |
| 156 | 1 | } | |
| 157 |