From 61f42a782ad83b09964c036cdd1f8289f83c7bc3 Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Fri, 23 Oct 2020 09:20:58 +0200 Subject: [PATCH] mp3: done 1-4 --- .../src/Bench_rec_bisection.m | 93 +- mp3/ex3_eppstein.tex | 9993 - mp3/ex3_grid9.tex | 60762 ----- mp3/ex3_small.tex | 2310 - mp3/ex4_Coordinate.tex | 182625 ++++++++++++++ mp3/ex4_Inertial.tex | 182610 ++++++++++++++ mp3/ex4_METIS.tex | 182607 ++++++++++++++ mp3/ex4_Spectral.tex | 182635 +++++++++++++++ mp3/project_3_Maggioni_Claudio-figure0.pdf | Bin 0 -> 264913 bytes mp3/project_3_Maggioni_Claudio-figure1.pdf | Bin 0 -> 283811 bytes mp3/project_3_Maggioni_Claudio-figure2.pdf | Bin 0 -> 282199 bytes mp3/project_3_Maggioni_Claudio-figure3.pdf | Bin 0 -> 283614 bytes mp3/project_3_Maggioni_Claudio.pdf | Bin 560991 -> 1578334 bytes mp3/project_3_Maggioni_Claudio.tex | 52 +- 14 files changed, 730607 insertions(+), 73080 deletions(-) delete mode 100644 mp3/ex3_eppstein.tex delete mode 100644 mp3/ex3_grid9.tex delete mode 100644 mp3/ex3_small.tex create mode 100644 mp3/ex4_Coordinate.tex create mode 100644 mp3/ex4_Inertial.tex create mode 100644 mp3/ex4_METIS.tex create mode 100644 mp3/ex4_Spectral.tex create mode 100644 mp3/project_3_Maggioni_Claudio-figure0.pdf create mode 100644 mp3/project_3_Maggioni_Claudio-figure1.pdf create mode 100644 mp3/project_3_Maggioni_Claudio-figure2.pdf create mode 100644 mp3/project_3_Maggioni_Claudio-figure3.pdf diff --git a/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m b/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m index 31b6beb..547b5c0 100755 --- a/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m +++ b/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m @@ -10,6 +10,8 @@ addpaths_GP; nlevels_a = 3; nlevels_b = 4; +%addpath /Users/maggicl/Git/matlab2tikz/src/; + fprintf(' *********************************************\n') fprintf(' *** Recursive graph bisection benchmark ***\n'); fprintf(' *********************************************\n') @@ -58,23 +60,102 @@ for c = 1:nc fprintf('%s %s', cases{c}, spacers); sparse_matrix = load(cases{c}); + if c == 5 + g = 1; + else + g = 0; + end + % Recursively bisect the loaded graphs in 8 and 16 subgraphs. % Steps % 1. Initialize the problem [params] = Initialize_case(sparse_matrices(c)); - W = params.Adj; - coords = params.coords; + A = params.Adj; + coords = params.coords; + + W = A - diag(diag(A)); + % 2. Recursive routines - % i. Spectral + % i. Spectral + sp8 = runtest(W, coords, @(a, b) bisection_spectral(a, b, 0), ... + 3, '', 0); + sp16 = runtest(W, coords, @(a, b) bisection_spectral(a, b, 0), ... + 4, 'Spectral', g); + % ii. Metis - % iii. Coordinate + m8 = runtest(W, coords, @(a, b) bisection_metis(a, b, 0), ... + 3, '', 0); + m16 = runtest(W, coords, @(a, b) bisection_metis(a, b, 0), ... + 4, 'METIS', g); + + % iii. Coordinate + c8 = runtest(W, coords, @(a, b) bisection_coordinate(a, b, 0), ... + 3, '', 0); + c16 = runtest(W, coords, @(a, b) bisection_coordinate(a, b, 0), ... + 4, 'Coordinate', g); + % iv. Inertial + i8 = runtest(W, coords, @(a, b) bisection_inertial(a, b, 0), ... + 3, '', 0); + i16 = runtest(W, coords, @(a, b) bisection_inertial(a, b, 0), ... + 4, 'Inertial', g); + + close; + % 3. Calculate number of cut edges % 4. Visualize the partitioning result + fprintf('%6d %6d %10d %6d %10d %6d %10d %6d %d\n',sp8,sp16,... + m8,m16,c8,c16,i8,i16, nnz(diag(A))); - fprintf('%6d %6d %10d %6d %10d %6d %10d %6d\n',0,0,... - 0,0,0,0,0,0); +end + +% Bisection Spectral Metis 5.0.2 Coordinate Inertial +% Partitions 8 16 8 16 8 16 8 16 +% ----------------------------------------------------------------------------------- +% airfoil1.mat ... 327 578 320 563 516 819 577 897 +% 3elt.mat ....... 372 671 395 651 733 1168 880 1342 +% barth4.mat ..... 505 758 405 689 875 1306 891 1350 +% mesh3e1.mat .... 72 111 75 117 75 122 67 102 +% crack.mat ...... 804 1303 784 1290 1343 1860 1061 1618 + +function n = runtest(A, xy, algorithm, depth, t, show_graphs) + g = 0; + if show_graphs == 1 + g = 1; + title(strcat(t, ' bisection for crack with n=16')); + hold on; + end + n = recurse(A, xy, algorithm, 0.5, depth, g); + if show_graphs == 1 + hold off; + %matlab2tikz(sprintf('../../ex4_%s.tex', t)); + figure; + end +end + +function n = recurse(A, xy, algorithm, color, depth, show_graphs) + [partA, partB] = algorithm(A, xy); + [n, ~] = cutsize(A, partA); + A1 = A(partA, partA); + xy1 = xy(partA, :); + A2 = A(partB, partB); + xy2 = xy(partB, :); + + depth = depth - 1; + if depth > 0 + n = n + recurse(A1, xy1, algorithm, color * 1.5, depth, show_graphs); + n = n + recurse(A2, xy2, algorithm, color * 0.5, depth, show_graphs); + elseif show_graphs == 1 + gplot(A1, xy1); + gplot(A2, xy2); + end + if show_graphs == 1 + A12 = sparse(size(A)); + A12(partA, partB) = A(partA, partB); + A12(partB, partA) = A(partB, partA); + gplot(A12, xy); + end end \ No newline at end of file diff --git a/mp3/ex3_eppstein.tex b/mp3/ex3_eppstein.tex deleted file mode 100644 index 2e070e0..0000000 --- a/mp3/ex3_eppstein.tex +++ /dev/null @@ -1,9993 +0,0 @@ -% This file was created by matlab2tikz. -% -%The latest updates can be retrieved from -% http://www.mathworks.com/matlabcentral/fileexchange/22022-matlab2tikz-matlab2tikz -%where you can 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-nan nan\\ -41 1\\ -40 2\\ -nan nan\\ -40 3\\ -40 2\\ -nan nan\\ -39 6\\ -40 7\\ -nan nan\\ -39 6\\ -40 6\\ -nan nan\\ -39 6\\ -40 5\\ -nan nan\\ -39 6\\ -39 7\\ -nan nan\\ -40 7\\ -39 6\\ -nan nan\\ -40 6\\ -39 6\\ -nan nan\\ -40 5\\ -39 6\\ -nan nan\\ -39 7\\ -39 6\\ -nan nan\\ -12 47\\ -13 48\\ -nan nan\\ -12 47\\ -13 47\\ -nan nan\\ -12 47\\ -13 46\\ -nan nan\\ -12 47\\ -12 48\\ -nan nan\\ -13 48\\ -12 47\\ -nan nan\\ -13 47\\ -12 47\\ -nan nan\\ -13 46\\ -12 47\\ -nan nan\\ -12 48\\ -12 47\\ -nan nan\\ -30 20\\ -31 21\\ -nan nan\\ -30 20\\ -31 20\\ -nan nan\\ -30 20\\ -30 21\\ -nan nan\\ -30 20\\ -31 19\\ -nan nan\\ -31 21\\ -30 20\\ -nan nan\\ -31 20\\ -30 20\\ -nan nan\\ -30 21\\ -30 20\\ -nan nan\\ -31 19\\ -30 20\\ -nan nan\\ -13 44\\ -14 45\\ -nan nan\\ -13 44\\ -14 44\\ -nan nan\\ -13 44\\ -14 43\\ -nan nan\\ -13 44\\ -13 45\\ -nan nan\\ -14 45\\ -13 44\\ -nan nan\\ -14 44\\ -13 44\\ -nan nan\\ -14 43\\ -13 44\\ -nan nan\\ -13 45\\ -13 44\\ -nan nan\\ -37 10\\ -38 11\\ -nan nan\\ -37 10\\ -38 10\\ -nan nan\\ -37 10\\ -37 11\\ -nan nan\\ -37 10\\ -38 9\\ -nan nan\\ -38 11\\ -37 10\\ -nan nan\\ -38 10\\ -37 10\\ -nan nan\\ -37 11\\ -37 10\\ -nan nan\\ -38 9\\ -37 10\\ -nan nan\\ -33 16\\ -34 17\\ -nan nan\\ -33 16\\ -34 16\\ -nan nan\\ -33 16\\ -33 17\\ -nan nan\\ -33 16\\ -34 15\\ -nan nan\\ -34 17\\ -33 16\\ -nan nan\\ -34 16\\ -33 16\\ -nan nan\\ -33 17\\ -33 16\\ -nan nan\\ -34 15\\ -33 16\\ -nan nan\\ -40 1\\ -41 2\\ -nan nan\\ -40 1\\ -41 1\\ -nan nan\\ -40 1\\ -40 2\\ -nan nan\\ -41 2\\ -40 1\\ -nan nan\\ -41 1\\ -40 1\\ -nan nan\\ -40 2\\ -40 1\\ -nan nan\\ -17 37\\ -18 38\\ -nan nan\\ -17 37\\ -18 37\\ -nan nan\\ -17 37\\ -17 38\\ -nan nan\\ -17 37\\ -18 36\\ -nan nan\\ -18 38\\ -17 37\\ -nan nan\\ -18 37\\ -17 37\\ -nan nan\\ -17 38\\ -17 37\\ -nan nan\\ -18 36\\ -17 37\\ -nan nan\\ -38 8\\ -39 9\\ -nan nan\\ -38 8\\ -39 8\\ -nan nan\\ -38 8\\ -38 9\\ -nan nan\\ -38 8\\ -39 7\\ -nan nan\\ -39 9\\ -38 8\\ -nan nan\\ -39 8\\ -38 8\\ -nan nan\\ -38 9\\ -38 8\\ -nan nan\\ -39 7\\ -38 8\\ -nan nan\\ -15 40\\ -16 41\\ -nan nan\\ -15 40\\ -16 40\\ -nan nan\\ -15 40\\ -15 41\\ -nan nan\\ -15 40\\ -16 39\\ -nan nan\\ -16 41\\ -15 40\\ -nan nan\\ -16 40\\ -15 40\\ -nan nan\\ -15 41\\ -15 40\\ -nan nan\\ -16 39\\ -15 40\\ -nan nan\\ -26 25\\ -27 26\\ -nan nan\\ -26 25\\ -27 25\\ -nan nan\\ -26 25\\ -26 26\\ -nan nan\\ -26 25\\ -27 24\\ -nan nan\\ -27 26\\ -26 25\\ -nan nan\\ -27 25\\ -26 25\\ -nan nan\\ -26 26\\ -26 25\\ -nan nan\\ -27 24\\ -26 25\\ -nan nan\\ -35 13\\ -36 14\\ -nan nan\\ -35 13\\ -36 13\\ -nan nan\\ -35 13\\ -35 14\\ -nan nan\\ -35 13\\ -36 12\\ -nan nan\\ -36 14\\ -35 13\\ -nan nan\\ -36 13\\ -35 13\\ -nan nan\\ -35 14\\ -35 13\\ -nan nan\\ -36 12\\ -35 13\\ -nan nan\\ -19 34\\ -20 35\\ -nan nan\\ -19 34\\ -20 34\\ -nan nan\\ -19 34\\ -19 35\\ -nan nan\\ -19 34\\ -20 33\\ -nan nan\\ -20 35\\ -19 34\\ -nan nan\\ -20 34\\ -19 34\\ -nan nan\\ -19 35\\ -19 34\\ -nan nan\\ -20 33\\ -19 34\\ -nan nan\\ -22 30\\ -23 31\\ -nan nan\\ -22 30\\ -23 30\\ -nan nan\\ -22 30\\ -22 31\\ -nan nan\\ -22 30\\ -23 29\\ -nan nan\\ -23 31\\ -22 30\\ -nan nan\\ -23 30\\ -22 30\\ -nan nan\\ -22 31\\ -22 30\\ -nan nan\\ -23 29\\ -22 30\\ -nan nan\\ -12 46\\ -13 47\\ -nan nan\\ -12 46\\ -13 46\\ -nan nan\\ -12 46\\ -13 45\\ -nan nan\\ -12 46\\ -12 47\\ -nan nan\\ -13 47\\ -12 46\\ -nan nan\\ -13 46\\ -12 46\\ -nan nan\\ -13 45\\ -12 46\\ -nan nan\\ -12 47\\ -12 46\\ -nan nan\\ -}; - \addplot3 [color=white!30!black] - table[row sep=crcr] {% -39 4\\ -39 5\\ -nan nan\\ -39 5\\ -39 4\\ -nan nan\\ -11 49\\ -11 50\\ -nan nan\\ -11 50\\ -11 49\\ -nan nan\\ -28 22\\ -29 21\\ -nan nan\\ -29 21\\ -28 22\\ -nan nan\\ -31 18\\ -32 17\\ -nan nan\\ -32 17\\ -31 18\\ -nan nan\\ -11 48\\ -11 49\\ -nan nan\\ -11 49\\ -11 48\\ -nan nan\\ -24 27\\ -25 26\\ -nan nan\\ -25 26\\ -24 27\\ -nan nan\\ -39 3\\ -39 4\\ -nan nan\\ -39 4\\ -39 3\\ -nan nan\\ -15 39\\ -16 38\\ -nan nan\\ -16 38\\ -15 39\\ -nan nan\\ -20 32\\ -21 31\\ -nan nan\\ -21 31\\ -20 32\\ -nan nan\\ -39 2\\ -39 3\\ -nan nan\\ -39 3\\ -39 2\\ -nan nan\\ -17 36\\ -18 35\\ -nan nan\\ -18 35\\ -17 36\\ -nan nan\\ -11 47\\ -11 48\\ -nan nan\\ -11 48\\ -11 47\\ -nan nan\\ -35 12\\ -36 11\\ -nan nan\\ -36 11\\ -35 12\\ -nan nan\\ -33 15\\ -34 14\\ -nan nan\\ -34 14\\ -33 15\\ -nan nan\\ -39 1\\ -39 2\\ -nan nan\\ -39 2\\ -39 1\\ -nan nan\\ -27 23\\ -28 22\\ -nan nan\\ -28 22\\ -27 23\\ -nan nan\\ -38 6\\ -39 5\\ -nan nan\\ -38 6\\ -38 7\\ -nan nan\\ -39 5\\ -38 6\\ -nan nan\\ -38 7\\ -38 6\\ -nan nan\\ -12 44\\ -13 43\\ -nan nan\\ -12 44\\ -12 45\\ -nan nan\\ -13 43\\ -12 44\\ -nan nan\\ -12 45\\ -12 44\\ -nan nan\\ -13 42\\ -13 43\\ -nan nan\\ -13 42\\ -14 41\\ -nan nan\\ -13 43\\ -13 42\\ -nan nan\\ -14 41\\ -13 42\\ -nan nan\\ -23 28\\ -24 27\\ -nan nan\\ -24 27\\ -23 28\\ -nan nan\\ -30 19\\ -31 18\\ -nan nan\\ -31 18\\ -30 19\\ -nan nan\\ -36 10\\ -36 11\\ -nan nan\\ -36 10\\ -37 9\\ -nan nan\\ -36 11\\ -36 10\\ -nan nan\\ -37 9\\ -36 10\\ -nan nan\\ -37 8\\ -38 7\\ -nan nan\\ -37 8\\ -37 9\\ -nan nan\\ -38 7\\ -37 8\\ -nan nan\\ -37 9\\ -37 8\\ -nan nan\\ -11 46\\ -12 45\\ -nan nan\\ -11 46\\ -11 47\\ -nan nan\\ -12 45\\ -11 46\\ -nan nan\\ -11 47\\ -11 46\\ -nan nan\\ -19 33\\ -20 32\\ -nan nan\\ -20 32\\ -19 33\\ -nan nan\\ -14 40\\ -14 41\\ -nan nan\\ -14 40\\ -15 39\\ -nan nan\\ -14 41\\ -14 40\\ -nan nan\\ -15 39\\ -14 40\\ -nan nan\\ -16 37\\ -16 38\\ -nan nan\\ -16 37\\ -17 36\\ -nan nan\\ -16 38\\ -16 37\\ -nan nan\\ -17 36\\ -16 37\\ -nan nan\\ -26 24\\ -27 23\\ -nan nan\\ -27 23\\ -26 24\\ -nan nan\\ -38 5\\ -39 5\\ -nan nan\\ -38 5\\ -39 4\\ -nan nan\\ -38 5\\ -38 6\\ -nan nan\\ -39 5\\ -38 5\\ -nan nan\\ -39 4\\ -38 5\\ -nan nan\\ -38 6\\ -38 5\\ -nan nan\\ -32 16\\ -32 17\\ -nan nan\\ -32 16\\ -33 15\\ -nan nan\\ -32 17\\ -32 16\\ -nan nan\\ -33 15\\ -32 16\\ -nan nan\\ -22 29\\ -23 28\\ -nan nan\\ -23 28\\ -22 29\\ -nan nan\\ -34 13\\ -34 14\\ -nan nan\\ -34 13\\ -35 12\\ -nan nan\\ -34 14\\ -34 13\\ -nan nan\\ -35 12\\ -34 13\\ -nan nan\\ -10 50\\ -11 50\\ -nan nan\\ -10 50\\ -11 49\\ -nan nan\\ -11 50\\ -10 50\\ -nan nan\\ -11 49\\ -10 50\\ -nan nan\\ -29 20\\ -29 21\\ -nan nan\\ -29 20\\ -30 19\\ -nan nan\\ -29 21\\ -29 20\\ -nan nan\\ -30 19\\ -29 20\\ -nan nan\\ -10 49\\ -11 50\\ -nan nan\\ -10 49\\ -11 49\\ -nan nan\\ -10 49\\ -11 48\\ -nan nan\\ -10 49\\ -10 50\\ -nan nan\\ -11 50\\ -10 49\\ -nan nan\\ -11 49\\ -10 49\\ -nan nan\\ -11 48\\ -10 49\\ -nan nan\\ -10 50\\ -10 49\\ -nan nan\\ -12 43\\ -13 43\\ -nan nan\\ -12 43\\ -12 44\\ -nan nan\\ -12 43\\ -13 42\\ -nan nan\\ -13 43\\ -12 43\\ -nan nan\\ -12 44\\ -12 43\\ -nan nan\\ -13 42\\ -12 43\\ -nan nan\\ -11 45\\ -12 45\\ -nan nan\\ -11 45\\ -12 44\\ -nan nan\\ -11 45\\ -11 46\\ -nan nan\\ -12 45\\ -11 45\\ -nan nan\\ -12 44\\ -11 45\\ -nan nan\\ -11 46\\ -11 45\\ -nan nan\\ -18 34\\ -18 35\\ -nan nan\\ -18 34\\ -19 33\\ -nan nan\\ -18 35\\ -18 34\\ -nan nan\\ -19 33\\ -18 34\\ -nan nan\\ -10 48\\ -11 49\\ -nan nan\\ -10 48\\ -11 48\\ -nan nan\\ -10 48\\ -11 47\\ -nan nan\\ -10 48\\ -10 49\\ -nan nan\\ -11 49\\ -10 48\\ -nan nan\\ -11 48\\ -10 48\\ -nan nan\\ -11 47\\ -10 48\\ -nan nan\\ -10 49\\ -10 48\\ -nan nan\\ -38 4\\ -39 5\\ -nan nan\\ -38 4\\ -39 4\\ -nan nan\\ -38 4\\ -39 3\\ -nan nan\\ -38 4\\ -38 5\\ -nan nan\\ -39 5\\ -38 4\\ -nan nan\\ -39 4\\ -38 4\\ -nan nan\\ -39 3\\ -38 4\\ -nan nan\\ -38 5\\ -38 4\\ -nan nan\\ -25 25\\ -25 26\\ -nan nan\\ -25 25\\ -26 24\\ -nan nan\\ -25 26\\ -25 25\\ -nan nan\\ -26 24\\ -25 25\\ -nan nan\\ -15 38\\ -16 38\\ -nan nan\\ -15 38\\ -15 39\\ -nan nan\\ -15 38\\ -16 37\\ -nan nan\\ -16 38\\ -15 38\\ -nan nan\\ -15 39\\ -15 38\\ -nan nan\\ -16 37\\ -15 38\\ -nan nan\\ -13 41\\ -14 41\\ -nan nan\\ -13 41\\ -13 42\\ -nan nan\\ -13 41\\ -14 40\\ -nan nan\\ -14 41\\ -13 41\\ -nan nan\\ -13 42\\ -13 41\\ -nan nan\\ -14 40\\ -13 41\\ -nan nan\\ -37 7\\ -38 7\\ -nan nan\\ -37 7\\ -38 6\\ -nan nan\\ -37 7\\ -37 8\\ -nan nan\\ -38 7\\ -37 7\\ -nan nan\\ -38 6\\ -37 7\\ -nan nan\\ -37 8\\ -37 7\\ -nan nan\\ -35 11\\ -36 11\\ -nan nan\\ -35 11\\ -35 12\\ -nan nan\\ -35 11\\ -36 10\\ -nan nan\\ -36 11\\ -35 11\\ -nan nan\\ -35 12\\ -35 11\\ -nan nan\\ -36 10\\ -35 11\\ -nan nan\\ -21 30\\ -21 31\\ -nan nan\\ -21 30\\ -22 29\\ -nan nan\\ -21 31\\ -21 30\\ -nan nan\\ -22 29\\ -21 30\\ -nan nan\\ -31 17\\ -32 17\\ -nan nan\\ -31 17\\ -31 18\\ -nan nan\\ -31 17\\ -32 16\\ -nan nan\\ -32 17\\ -31 17\\ -nan nan\\ -31 18\\ -31 17\\ -nan nan\\ -32 16\\ -31 17\\ -nan nan\\ -36 9\\ -37 9\\ -nan nan\\ -36 9\\ -36 10\\ -nan nan\\ -36 9\\ -37 8\\ -nan nan\\ -37 9\\ -36 9\\ -nan nan\\ -36 10\\ -36 9\\ -nan nan\\ -37 8\\ -36 9\\ -nan nan\\ -28 21\\ -29 21\\ -nan nan\\ -28 21\\ -28 22\\ -nan nan\\ -28 21\\ -29 20\\ -nan nan\\ -29 21\\ -28 21\\ -nan nan\\ -28 22\\ -28 21\\ -nan nan\\ -29 20\\ -28 21\\ -nan nan\\ -10 47\\ -11 48\\ -nan nan\\ -10 47\\ -11 47\\ -nan nan\\ -10 47\\ -11 46\\ -nan nan\\ -10 47\\ -10 48\\ -nan nan\\ -11 48\\ -10 47\\ -nan nan\\ -11 47\\ -10 47\\ -nan nan\\ -11 46\\ -10 47\\ -nan nan\\ -10 48\\ -10 47\\ -nan nan\\ -38 3\\ -39 4\\ -nan nan\\ -38 3\\ -39 3\\ -nan nan\\ -38 3\\ -39 2\\ -nan nan\\ -38 3\\ -38 4\\ -nan nan\\ -39 4\\ -38 3\\ -nan nan\\ -39 3\\ -38 3\\ -nan nan\\ -39 2\\ -38 3\\ -nan nan\\ -38 4\\ -38 3\\ -nan nan\\ -33 14\\ -34 14\\ -nan nan\\ -33 14\\ -33 15\\ -nan nan\\ -33 14\\ -34 13\\ -nan nan\\ -34 14\\ -33 14\\ -nan nan\\ -33 15\\ -33 14\\ -nan nan\\ -34 13\\ -33 14\\ -nan nan\\ -17 35\\ -18 35\\ -nan nan\\ -17 35\\ -17 36\\ -nan nan\\ -17 35\\ -18 34\\ -nan nan\\ -18 35\\ -17 35\\ -nan nan\\ -17 36\\ -17 35\\ -nan nan\\ -18 34\\ -17 35\\ -nan nan\\ -24 26\\ -25 26\\ -nan nan\\ -24 26\\ -24 27\\ -nan nan\\ -24 26\\ -25 25\\ -nan nan\\ -25 26\\ -24 26\\ -nan nan\\ -24 27\\ -24 26\\ -nan nan\\ -25 25\\ -24 26\\ -nan nan\\ -38 2\\ -39 3\\ -nan nan\\ -38 2\\ -39 2\\ -nan nan\\ -38 2\\ -39 1\\ -nan nan\\ -38 2\\ -38 3\\ -nan nan\\ -39 3\\ -38 2\\ -nan nan\\ -39 2\\ -38 2\\ -nan nan\\ -39 1\\ -38 2\\ -nan nan\\ -38 3\\ -38 2\\ -nan nan\\ -11 44\\ -12 45\\ -nan nan\\ -11 44\\ -12 44\\ -nan nan\\ -11 44\\ -12 43\\ -nan nan\\ -11 44\\ -11 45\\ -nan nan\\ -12 45\\ -11 44\\ -nan nan\\ -12 44\\ -11 44\\ -nan nan\\ -12 43\\ -11 44\\ -nan nan\\ -11 45\\ -11 44\\ -nan nan\\ -14 39\\ -15 39\\ -nan nan\\ -14 39\\ -14 40\\ -nan nan\\ -14 39\\ -15 38\\ -nan nan\\ -15 39\\ -14 39\\ -nan nan\\ -14 40\\ -14 39\\ -nan nan\\ -15 38\\ -14 39\\ -nan nan\\ -38 1\\ -39 2\\ -nan nan\\ -38 1\\ -39 1\\ -nan nan\\ -38 1\\ -38 2\\ -nan nan\\ -39 2\\ -38 1\\ -nan nan\\ -39 1\\ -38 1\\ -nan nan\\ -38 2\\ -38 1\\ -nan nan\\ -20 31\\ -21 31\\ -nan nan\\ -20 31\\ -20 32\\ -nan nan\\ -20 31\\ -21 30\\ -nan nan\\ -21 31\\ -20 31\\ -nan nan\\ -20 32\\ -20 31\\ -nan nan\\ -21 30\\ -20 31\\ -nan nan\\ -12 42\\ -13 43\\ -nan nan\\ -12 42\\ -13 42\\ -nan nan\\ -12 42\\ -12 43\\ -nan nan\\ -12 42\\ -13 41\\ -nan nan\\ -13 43\\ -12 42\\ -nan nan\\ -13 42\\ -12 42\\ -nan nan\\ -12 43\\ -12 42\\ -nan nan\\ -13 41\\ -12 42\\ -nan nan\\ -10 46\\ -11 47\\ -nan nan\\ -10 46\\ -11 46\\ -nan nan\\ -10 46\\ -11 45\\ -nan nan\\ -10 46\\ -10 47\\ -nan nan\\ -11 47\\ -10 46\\ -nan nan\\ -11 46\\ -10 46\\ -nan nan\\ -11 45\\ -10 46\\ -nan nan\\ -10 47\\ -10 46\\ -nan nan\\ -37 6\\ -38 7\\ -nan nan\\ -37 6\\ -38 6\\ -nan nan\\ -37 6\\ -38 5\\ -nan nan\\ -37 6\\ -37 7\\ -nan nan\\ -38 7\\ -37 6\\ -nan nan\\ -38 6\\ -37 6\\ -nan nan\\ -38 5\\ -37 6\\ -nan nan\\ -37 7\\ -37 6\\ -nan nan\\ -27 22\\ -28 22\\ -nan nan\\ -27 22\\ -27 23\\ -nan nan\\ -27 22\\ -28 21\\ -nan nan\\ -28 22\\ -27 22\\ -nan nan\\ -27 23\\ -27 22\\ -nan nan\\ -28 21\\ -27 22\\ -nan nan\\ -30 18\\ -31 18\\ -nan nan\\ -30 18\\ -30 19\\ -nan nan\\ -30 18\\ -31 17\\ -nan nan\\ -31 18\\ -30 18\\ -nan nan\\ -30 19\\ -30 18\\ -nan nan\\ -31 17\\ -30 18\\ -nan nan\\ -16 36\\ -17 36\\ -nan nan\\ -16 36\\ -16 37\\ -nan nan\\ -16 36\\ -17 35\\ -nan nan\\ -17 36\\ -16 36\\ -nan nan\\ -16 37\\ -16 36\\ -nan nan\\ -17 35\\ -16 36\\ -nan nan\\ -34 12\\ -35 12\\ -nan nan\\ -34 12\\ -34 13\\ -nan nan\\ -34 12\\ -35 11\\ -nan nan\\ -35 12\\ -34 12\\ -nan nan\\ -34 13\\ -34 12\\ -nan nan\\ -35 11\\ -34 12\\ -nan nan\\ -9 50\\ -10 50\\ -nan nan\\ -9 50\\ -10 49\\ -nan nan\\ -10 50\\ -9 50\\ -nan nan\\ -10 49\\ -9 50\\ -nan nan\\ -23 27\\ -24 27\\ -nan nan\\ -23 27\\ -23 28\\ -nan nan\\ -23 27\\ -24 26\\ -nan nan\\ -24 27\\ -23 27\\ -nan nan\\ -23 28\\ -23 27\\ -nan nan\\ -24 26\\ -23 27\\ -nan nan\\ -9 49\\ -10 50\\ -nan nan\\ -9 49\\ -10 49\\ -nan nan\\ -9 49\\ -10 48\\ -nan nan\\ -9 49\\ -9 50\\ -nan nan\\ -10 50\\ -9 49\\ -nan nan\\ -10 49\\ -9 49\\ -nan nan\\ -10 48\\ -9 49\\ -nan nan\\ -9 50\\ -9 49\\ -nan nan\\ -19 32\\ -20 32\\ -nan nan\\ -19 32\\ -19 33\\ -nan nan\\ -19 32\\ -20 31\\ -nan nan\\ -20 32\\ -19 32\\ -nan nan\\ -19 33\\ -19 32\\ -nan nan\\ -20 31\\ -19 32\\ -nan nan\\ -32 15\\ -33 15\\ -nan nan\\ -32 15\\ -32 16\\ -nan nan\\ -32 15\\ -33 14\\ -nan nan\\ -33 15\\ -32 15\\ -nan nan\\ -32 16\\ -32 15\\ -nan nan\\ -33 14\\ -32 15\\ -nan nan\\ -36 8\\ -37 9\\ -nan nan\\ -36 8\\ -37 8\\ -nan nan\\ -36 8\\ -37 7\\ -nan nan\\ -36 8\\ -36 9\\ -nan nan\\ -37 9\\ -36 8\\ -nan nan\\ -37 8\\ -36 8\\ -nan nan\\ -37 7\\ -36 8\\ -nan nan\\ -36 9\\ -36 8\\ -nan nan\\ -13 40\\ -14 41\\ -nan nan\\ -13 40\\ -14 40\\ -nan nan\\ -13 40\\ -13 41\\ -nan nan\\ -13 40\\ -14 39\\ -nan nan\\ -14 41\\ -13 40\\ -nan nan\\ -14 40\\ -13 40\\ -nan nan\\ -13 41\\ -13 40\\ -nan nan\\ -14 39\\ -13 40\\ -nan nan\\ -35 10\\ -36 11\\ -nan nan\\ -35 10\\ -36 10\\ -nan nan\\ -35 10\\ -35 11\\ -nan nan\\ -35 10\\ -36 9\\ -nan nan\\ -36 11\\ -35 10\\ -nan nan\\ -36 10\\ -35 10\\ -nan nan\\ -35 11\\ -35 10\\ -nan nan\\ -36 9\\ -35 10\\ -nan nan\\ -9 48\\ -10 49\\ -nan nan\\ -9 48\\ -10 48\\ -nan nan\\ -9 48\\ -10 47\\ -nan nan\\ -9 48\\ -9 49\\ -nan nan\\ -10 49\\ -9 48\\ -nan nan\\ -10 48\\ -9 48\\ -nan nan\\ -10 47\\ -9 48\\ -nan nan\\ -9 49\\ -9 48\\ -nan nan\\ -10 45\\ -11 46\\ -nan nan\\ -10 45\\ -11 45\\ -nan nan\\ -10 45\\ -11 44\\ -nan nan\\ -10 45\\ -10 46\\ -nan nan\\ -11 46\\ -10 45\\ -nan nan\\ -11 45\\ -10 45\\ -nan nan\\ -11 44\\ -10 45\\ -nan nan\\ -10 46\\ -10 45\\ -nan nan\\ -37 5\\ -38 6\\ -nan nan\\ -37 5\\ -38 5\\ -nan nan\\ -37 5\\ -38 4\\ -nan nan\\ -37 5\\ -37 6\\ -nan nan\\ -38 6\\ -37 5\\ -nan nan\\ -38 5\\ -37 5\\ -nan nan\\ -38 4\\ -37 5\\ -nan nan\\ -37 6\\ -37 5\\ -nan nan\\ -11 43\\ -12 44\\ -nan nan\\ -11 43\\ -12 43\\ -nan nan\\ -11 43\\ -11 44\\ -nan nan\\ -11 43\\ -12 42\\ -nan nan\\ -12 44\\ -11 43\\ -nan nan\\ -12 43\\ -11 43\\ -nan nan\\ -11 44\\ -11 43\\ -nan nan\\ -12 42\\ -11 43\\ -nan nan\\ -26 23\\ -27 23\\ -nan nan\\ -26 23\\ -26 24\\ -nan nan\\ -26 23\\ -27 22\\ -nan nan\\ -27 23\\ -26 23\\ -nan nan\\ -26 24\\ -26 23\\ -nan nan\\ -27 22\\ -26 23\\ -nan nan\\ -15 37\\ -16 38\\ -nan nan\\ -15 37\\ -16 37\\ -nan nan\\ -15 37\\ -15 38\\ -nan nan\\ -15 37\\ -16 36\\ -nan nan\\ -16 38\\ -15 37\\ -nan nan\\ -16 37\\ -15 37\\ -nan nan\\ -15 38\\ -15 37\\ -nan nan\\ -16 36\\ -15 37\\ -nan nan\\ -29 19\\ -30 19\\ -nan nan\\ -29 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ziA>~VryhK|uNb5uxa_qYY^$$OZFiASr}@PAqVsE-1?p6{bM$a1 zt@NiNlAl28e77eAIX-V#QLDi{DHI!47hK+FdWk; zL;=(A2Ghtwm)I}`IM3TT{6{)3u@5KG%)f-eS-Tnnv^EyqZQP_}Iqi?6pwiwS}9Dc^@qHJd9qdaqLw8Z#LxcKPM+sTLd?E6Ib^i Wt`?RET->Z2e4GeWR8k;mg#QH+V{Ehl diff --git a/mp3/project_3_Maggioni_Claudio.tex b/mp3/project_3_Maggioni_Claudio.tex index 259a81f..f4e6e33 100644 --- a/mp3/project_3_Maggioni_Claudio.tex +++ b/mp3/project_3_Maggioni_Claudio.tex @@ -11,6 +11,8 @@ \usepackage{grffile} \usepackage{amsmath} \usepackage{subcaption} +\usepgfplotslibrary{external} +\tikzexternalize \hyphenation{PageRank} \hyphenation{PageRanks} @@ -59,7 +61,39 @@ In figure \ref{fig:run1} there are graph outputs respectively from \textit{Grid9 \section{Recursively bisecting meshes \punkte{20}} -Summarize your results in table \ref{table:Rec_bisection}. +I summarize my results in table \ref{table:Rec_bisection}. Additionaly, the graph plots +for a recursive partition in 16 parts of \textit{Crack} are avaliable in figure \ref{fig:bicrack}. + +\begin{figure}[h] +\begin{subfigure}{0.5\textwidth} +\centering + \resizebox{0.8\linewidth}{!}{ + \input{ex4_Spectral}} +\caption{Spectral bisection} +\end{subfigure} +\begin{subfigure}{0.5\textwidth} +\centering + \resizebox{0.8\linewidth}{!}{ + \input{ex4_Coordinate}} +\caption{Coordinate bisection} +\end{subfigure} +\begin{subfigure}{0.5\textwidth} +\centering + \resizebox{0.8\linewidth}{!}{ + \input{ex4_METIS}} +\caption{METIS bisection} +\end{subfigure} +\begin{subfigure}{0.5\textwidth} +\centering + \resizebox{0.8\linewidth}{!}{ + \input{ex4_Inertial}} +\caption{Inertial bisection} +\end{subfigure} + \caption{Graph outputs for \textit{Crack} graph with $n=16$} +\label{fig:bicrack} +\end{figure} + + \section{Compare recursive bisection to direct $k$-way partitioning\punkte{10}} @@ -84,15 +118,15 @@ Summarize your results in table \ref{table:Compare_Metis}. \begin{table}[h] - \caption{Edge-cut results for recursive bi-partitioning.} + \caption{Edge-cut results for recursive bi-partitioning (data for $n=8$ on the left and $n=16$ on the right).} \centering - \begin{tabular}{|l|r|r|r|r|r|} \hline\hline - Case & Spectral & Metis 5.0.2 & Coordinate & Inertial \\ \hline - mesh3e1 & & & & \\ - airfoil1 & & & & \\ - 3elt & & & & \\ - barth4 & & & & \\ - crack & & & & \\ \hline \hline + \begin{tabular}{|l|r|r|r|r|p{4cm}|} \hline\hline + Case & Spectral & Metis 5.0.2 & Coordinate & Inertial \\ \hline + airfoil1 & 327\hfill578 & 320\hfill563 & 516\hfill819 & 577\hfill897\\ + 3elt & 372\hfill671 & 395\hfill651 & 733\hfill1168 & 880\hfill1342\\ + barth4 & 505\hfill758 & 405\hfill689 & 875\hfill1306 & 891\hfill1350\\ + mesh3e1 & 72\hfill111 & 75\hfill117 & 75\hfill122 & 67\hfill102\\ + crack & 804\hfill1303 & 784\hfill1290 & 1343\hfill1860 & 1061 \hfill 1618\\\hline\hline \end{tabular} \label{table:Rec_bisection} \end{table}

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