From 13522202fc575795e29047725d9bc307a3a701ad Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Tue, 3 Nov 2020 14:40:49 +0100 Subject: [PATCH] mp3: other corrections --- .../src/Bench_rec_bisection.m | 42 +- .../src/bisection_inertial.m | 18 +- mp3/ex4_Coordinate.tex | 6 - mp3/ex4_Coordinate_8.tex | 182555 ++++++++++++++ mp3/ex4_Inertial.tex | 6 - mp3/ex4_Inertial_8.tex | 182552 ++++++++++++++ mp3/ex4_METIS.tex | 6 - mp3/ex4_METIS_8.tex | 182552 ++++++++++++++ mp3/ex4_Spectral.tex | 6 - mp3/ex4_Spectral_8.tex | 182556 +++++++++++++++ mp3/project_3_Maggioni_Claudio.pdf | Bin 2356340 -> 3367549 bytes mp3/project_3_Maggioni_Claudio.tex | 85 +- 12 files changed, 730309 insertions(+), 75 deletions(-) create mode 100644 mp3/ex4_Coordinate_8.tex create mode 100644 mp3/ex4_Inertial_8.tex create mode 100644 mp3/ex4_METIS_8.tex create mode 100644 mp3/ex4_Spectral_8.tex 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 24677a2..e208cf6 100755 --- a/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m +++ b/mp3/Project_3_Maggioni_Claudio/src/Bench_rec_bisection.m @@ -79,29 +79,33 @@ for c = 1:nc % 2. Recursive routines % i. Spectral sp8 = runtest(W, coords, @(a, b) bisection_spectral(a, b, 0), ... - 3, '', 0); + 3, 'Spectral_8', g); sp16 = runtest(W, coords, @(a, b) bisection_spectral(a, b, 0), ... 4, 'Spectral', g); % ii. Metis m8 = runtest(W, coords, @(a, b) bisection_metis(a, b, 0), ... - 3, '', 0); + 3, 'METIS_8', g); 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); + 3, 'Coordinate_8', g); 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); + 3, 'Inertial_8', g); i16 = runtest(W, coords, @(a, b) bisection_inertial(a, b, 0), ... 4, 'Inertial', g); close; + for ignored = 1:8 + % close; + end + % 3. Calculate number of cut edges % 4. Visualize the partitioning result @@ -111,31 +115,31 @@ for c = 1:nc 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 .... 75 124 75 117 75 122 67 102 -%crack.mat ...... 804 1303 784 1290 1343 1860 1061 1618 +%Bisection Spectral Metis 5.0.2 Coordinate Inertial +%Partitions 8 16 8 16 8 16 8 16 +%-------------------------------------------------------------------------- +%airfoil1.mat ... 327 578 320 563 516 819 578 903 +%3elt.mat ....... 372 671 395 651 733 1168 880 1342 +%barth4.mat ..... 505 758 405 689 875 1306 888 1348 +%mesh3e1.mat .... 75 124 75 117 75 122 76 116 +%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')); + %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)); + %matlab2tikz('showInfo', false, sprintf('../../ex4_%s.tex', t)); figure; end end -function n = recurse(A, xy, algorithm, color, depth, show_graphs) +function n = recurse(A, xy, algorithm, color, depth, show_g) warning('off','MATLAB:eigs:IllConditionedA') [partA, partB] = algorithm(A, xy); warning('on', 'MATLAB:eigs:IllConditionedA') @@ -147,14 +151,14 @@ function n = recurse(A, xy, algorithm, color, depth, show_graphs) 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 + n = n + recurse(A1, xy1, algorithm, color * 1.5, depth, show_g); + n = n + recurse(A2, xy2, algorithm, color * 0.5, depth, show_g); + elseif show_g == 1 gplot(A1, xy1); gplot(A2, xy2); end - if show_graphs == 1 + if show_g == 1 A12 = sparse(size(A)); A12(partA, partB) = A(partA, partB); A12(partB, partA) = A(partB, partA); diff --git a/mp3/Project_3_Maggioni_Claudio/src/bisection_inertial.m b/mp3/Project_3_Maggioni_Claudio/src/bisection_inertial.m index 066dbaf..335ff5f 100755 --- a/mp3/Project_3_Maggioni_Claudio/src/bisection_inertial.m +++ b/mp3/Project_3_Maggioni_Claudio/src/bisection_inertial.m @@ -20,16 +20,17 @@ % Steps % 1. Calculate the center of mass. -m = sum(xy, 1) ./ size(xy, 1); +m = mean(xy); xm = m(1); ym = m(2); % 2. Construct the matrix M. % (Consult the pdf of the assignment for the creation of M) -h = [(xy(:, 1) - xm) (xy(:, 2) - ym)]; -X1 = sum(h(:, 1) .^ 2); -X2 = sum(h(:, 1) .* h(:, 2)); -X3 = sum(h(:, 2) .^ 2); +sx = (xy(:, 1) - xm); +sy = (xy(:, 2) - ym); +X1 = sum(sx .^ 2); +X2 = dot(sx, sy); +X3 = sum(sy .^ 2); M = [X1 X2; X2 X3]; @@ -39,13 +40,12 @@ a = u(1); b = u(2); % 4. Find the line L on which the center of mass lies. -S = -b * (xy(:, 1) - xm) + a * (xy(:, 2) - ym); -Sm = median(S); +v = [-b; a]; +v = v / norm(v, 2); % 5. Partition the points around the line L. % (you may use the function partition.m) -part1 = find(S < Sm); -part2 = find(S >= Sm); +[part1, part2] = partition(xy, v); if picture == 1 gplotpart(A,xy,part1); diff --git a/mp3/ex4_Coordinate.tex b/mp3/ex4_Coordinate.tex index 6d6d79f..b8d012d 100644 --- a/mp3/ex4_Coordinate.tex +++ b/mp3/ex4_Coordinate.tex @@ -1,9 +1,5 @@ % 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 also make suggestions and rate matlab2tikz. -% \definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% \definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}% \definecolor{mycolor3}{rgb}{0.92900,0.69400,0.12500}% @@ -25,8 +21,6 @@ xmax=1, ymin=0, ymax=1, axis background/.style={fill=white}, -title style={font=\bfseries}, -title={Coordinate bisection for crack with n=16}, axis x line*=bottom, axis y line*=left ] diff --git 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--- a/mp3/ex4_Spectral.tex +++ b/mp3/ex4_Spectral.tex @@ -1,9 +1,5 @@ % 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 also make suggestions and rate matlab2tikz. -% \definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% \definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}% \definecolor{mycolor3}{rgb}{0.92900,0.69400,0.12500}% @@ -25,8 +21,6 @@ xmax=1, ymin=0, ymax=1, axis background/.style={fill=white}, -title style={font=\bfseries}, -title={Spectral bisection for crack with n=16}, axis x line*=bottom, axis y line*=left ] diff --git a/mp3/ex4_Spectral_8.tex b/mp3/ex4_Spectral_8.tex new file mode 100644 index 0000000..17cfe3a --- /dev/null +++ b/mp3/ex4_Spectral_8.tex @@ -0,0 +1,182556 @@ +% This file was created by matlab2tikz. +% +\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% +\definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}% 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