Test | Status | Code Input and Output |
---|---|---|
1 | Pass |
%% Edge case: no vertices
P = zeros(0,2);
P2 = zeros(0,2);
assert(isequal(simplify_polygon(P), P2));
|
2 | Pass |
%% Edge case: one vertex
P = [1 1];
P2 = [1 1];
assert(isequal(simplify_polygon(P), P2));
|
3 | Pass |
%% Edge case: three vertices (a single line segment)
P = [...
1 1
1 2
1 1 ];
P2 = [...
1 1
1 2
1 1];
assert(isequal(simplify_polygon(P), P2));
|
4 | Pass |
%% Single line segment with multiple vertices
P = [ ...
1 1
2 1
3 1
4 1
5 1
4 1
3 1
2 1
1 1];
P2 = [ ...
1 1
5 1
1 1];
assert(isequal(simplify_polygon(P), P2));
|
5 | Pass |
%% Single line segment, different spacing
P = [ ...
1 1
2 1
4 1
5 1
1 1];
P2 = [ ...
1 1
5 1
1 1];
assert(isequal(simplify_polygon(P), P2));
|
6 | Pass |
%% Rectangle
P = [ ...
1 1
2 1
3 1
4 1
4 2
4 3
3 3
2 3
1 3
1 2
1 1];
P2 = [ ...
1 1
4 1
4 3
1 3
1 1];
assert(isequal(simplify_polygon(P), P2));
|
7 | Pass |
%% Two rectangles separated by line segment
P = [ ...
1 2
1 1
2 1
2 2
1 2
1 3
1 4
1 5
2 5
2 4
1 4
1 3
1 2];
P2 = [ ...
1 1
2 1
2 2
1 2
1 5
2 5
2 4
1 4
1 1];
assert(isequal(simplify_polygon(P), P2));
|
8 | Pass |
%% Nonsimple polygon (figure eight)
P = [ ...
1 1
2 2
3 3
1 3
2 2
3 1
1 1];
P2 = [ ...
1 1
3 3
1 3
3 1
1 1];
assert(isequal(simplify_polygon(P), P2));
|
9 | Pass |
%%
P = [ ...
1 1
2 2
3 3
4 4
5 5
5 4
6 3
8 1
7 1
1 1];
P2 = [ ...
1 1
5 5
5 4
8 1
1 1];
assert(isequal(simplify_polygon(P), P2));
|
10 | Pass |
%% Circle; no points should be removed
theta = linspace(0,2*pi,200);
theta(end) = 0;
x = 20*cos(theta);
y = 20*sin(theta);
P = [x', y'];
P2 = P;
assert(isequal(simplify_polygon(P), P2));
|
11 | Pass |
%% Starting vertex can be removed
P = [ ...
2 1
3 1
3 2
3 3
2 3
1 3
1 2
1 1
2 1];
P2 = [ ...
3 1
3 3
1 3
1 1
3 1];
assert(isequal(simplify_polygon(P), P2));
|
Given two strings, find the maximum overlap
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