Area of a 2D convex hull Announcing the arrival of Valued Associate #679: Cesar Manara ...
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Area of a 2D convex hull
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)
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Sandbox for Proposed ChallengesWhat is the area of this polygon?Find the Convex Hull of a set of 2D pointsFind the area of the largest convex polygonPoint in convex hull (2D)The happy Ender problemDoes the triangle contain the origin?What is the area of this polygon?Sort the points by linear distance in a 3D spaceElliptic systemMaximum Area of a Polygon with Vertices of a PolygonCircle intersection area
$begingroup$
You are given an array/list/vector of pairs of integers representing cartesian coordinates (x, y) of points on a 2D Euclidean plane; all coordinates are between −104 and 104, duplicates are allowed. Find the area of the convex hull of those points, rounded to the nearest integer; an exact midpoint should be rounded to the closest even integer. You may use floating-point numbers in intermediate computations, but only if you can guarantee that the final result will be always correct. This is a code-golf, the shortest correct program (ignoring non-significant whitespace, newlines and comments) wins.
Some test cases:
Input: [[50, -13]]
Result: 0
Input: [[-25, -26], [34, -27]]
Result: 0
Input: [[-6, -14], [-48, -45], [21, 25]]
Result: 400
Input: [[4, 30], [5, 37], [-18, 49], [-9, -2]]
Result: 562
Input: [[0, 16], [24, 18], [-43, 36], [39, -29], [3, -38]]
Result: 2978
Input: [[19, -19], [15, 5], [-16, -41], [6, -25], [-42, 1], [12, 19]]
Result: 2118
Input: [[-23, 13], [-13, 13], [-6, -7], [22, 41], [-26, 50], [12, -12], [-23, -7]]
Result: 2307
Input: [[31, -19], [-41, -41], [25, 34], [29, -1], [42, -42], [-34, 32], [19, 33], [40, 39]]
Result: 6037
Input: [[47, 1], [-22, 24], [36, 38], [-17, 4], [41, -3], [-13, 15], [-36, -40], [-13, 35], [-25, 22]]
Result: 3908
Input: [[29, -19], [18, 9], [30, -46], [15, 20], [24, -4], [5, 19], [-44, 4], [-20, -8], [-16, 34], [17, -36]]
Result: 2905
code-golf number geometry integer
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
$endgroup$
add a comment |
$begingroup$
You are given an array/list/vector of pairs of integers representing cartesian coordinates (x, y) of points on a 2D Euclidean plane; all coordinates are between −104 and 104, duplicates are allowed. Find the area of the convex hull of those points, rounded to the nearest integer; an exact midpoint should be rounded to the closest even integer. You may use floating-point numbers in intermediate computations, but only if you can guarantee that the final result will be always correct. This is a code-golf, the shortest correct program (ignoring non-significant whitespace, newlines and comments) wins.
Some test cases:
Input: [[50, -13]]
Result: 0
Input: [[-25, -26], [34, -27]]
Result: 0
Input: [[-6, -14], [-48, -45], [21, 25]]
Result: 400
Input: [[4, 30], [5, 37], [-18, 49], [-9, -2]]
Result: 562
Input: [[0, 16], [24, 18], [-43, 36], [39, -29], [3, -38]]
Result: 2978
Input: [[19, -19], [15, 5], [-16, -41], [6, -25], [-42, 1], [12, 19]]
Result: 2118
Input: [[-23, 13], [-13, 13], [-6, -7], [22, 41], [-26, 50], [12, -12], [-23, -7]]
Result: 2307
Input: [[31, -19], [-41, -41], [25, 34], [29, -1], [42, -42], [-34, 32], [19, 33], [40, 39]]
Result: 6037
Input: [[47, 1], [-22, 24], [36, 38], [-17, 4], [41, -3], [-13, 15], [-36, -40], [-13, 35], [-25, 22]]
Result: 3908
Input: [[29, -19], [18, 9], [30, -46], [15, 20], [24, -4], [5, 19], [-44, 4], [-20, -8], [-16, 34], [17, -36]]
Result: 2905
code-golf number geometry integer
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
$endgroup$
2
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
5
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
1
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago
add a comment |
$begingroup$
You are given an array/list/vector of pairs of integers representing cartesian coordinates (x, y) of points on a 2D Euclidean plane; all coordinates are between −104 and 104, duplicates are allowed. Find the area of the convex hull of those points, rounded to the nearest integer; an exact midpoint should be rounded to the closest even integer. You may use floating-point numbers in intermediate computations, but only if you can guarantee that the final result will be always correct. This is a code-golf, the shortest correct program (ignoring non-significant whitespace, newlines and comments) wins.
Some test cases:
Input: [[50, -13]]
Result: 0
Input: [[-25, -26], [34, -27]]
Result: 0
Input: [[-6, -14], [-48, -45], [21, 25]]
Result: 400
Input: [[4, 30], [5, 37], [-18, 49], [-9, -2]]
Result: 562
Input: [[0, 16], [24, 18], [-43, 36], [39, -29], [3, -38]]
Result: 2978
Input: [[19, -19], [15, 5], [-16, -41], [6, -25], [-42, 1], [12, 19]]
Result: 2118
Input: [[-23, 13], [-13, 13], [-6, -7], [22, 41], [-26, 50], [12, -12], [-23, -7]]
Result: 2307
Input: [[31, -19], [-41, -41], [25, 34], [29, -1], [42, -42], [-34, 32], [19, 33], [40, 39]]
Result: 6037
Input: [[47, 1], [-22, 24], [36, 38], [-17, 4], [41, -3], [-13, 15], [-36, -40], [-13, 35], [-25, 22]]
Result: 3908
Input: [[29, -19], [18, 9], [30, -46], [15, 20], [24, -4], [5, 19], [-44, 4], [-20, -8], [-16, 34], [17, -36]]
Result: 2905
code-golf number geometry integer
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
$endgroup$
You are given an array/list/vector of pairs of integers representing cartesian coordinates (x, y) of points on a 2D Euclidean plane; all coordinates are between −104 and 104, duplicates are allowed. Find the area of the convex hull of those points, rounded to the nearest integer; an exact midpoint should be rounded to the closest even integer. You may use floating-point numbers in intermediate computations, but only if you can guarantee that the final result will be always correct. This is a code-golf, the shortest correct program (ignoring non-significant whitespace, newlines and comments) wins.
Some test cases:
Input: [[50, -13]]
Result: 0
Input: [[-25, -26], [34, -27]]
Result: 0
Input: [[-6, -14], [-48, -45], [21, 25]]
Result: 400
Input: [[4, 30], [5, 37], [-18, 49], [-9, -2]]
Result: 562
Input: [[0, 16], [24, 18], [-43, 36], [39, -29], [3, -38]]
Result: 2978
Input: [[19, -19], [15, 5], [-16, -41], [6, -25], [-42, 1], [12, 19]]
Result: 2118
Input: [[-23, 13], [-13, 13], [-6, -7], [22, 41], [-26, 50], [12, -12], [-23, -7]]
Result: 2307
Input: [[31, -19], [-41, -41], [25, 34], [29, -1], [42, -42], [-34, 32], [19, 33], [40, 39]]
Result: 6037
Input: [[47, 1], [-22, 24], [36, 38], [-17, 4], [41, -3], [-13, 15], [-36, -40], [-13, 35], [-25, 22]]
Result: 3908
Input: [[29, -19], [18, 9], [30, -46], [15, 20], [24, -4], [5, 19], [-44, 4], [-20, -8], [-16, 34], [17, -36]]
Result: 2905
code-golf number geometry integer
code-golf number geometry integer
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
edited 2 hours ago
Vladimir Reshetnikov
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
asked 3 hours ago
Vladimir ReshetnikovVladimir Reshetnikov
1,9781613
1,9781613
2
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
5
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
1
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago
add a comment |
2
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
5
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
1
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago
2
2
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
5
5
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
1
1
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
SQL Server 2012+, 84 bytes
SELECT Round(Geometry::ConvexHullAggregate(Geometry::Point(x,y,0)).STArea(),0)FROM A
Makes use of the geometry functions and aggregates in SQL Server.
Coordindates are from table A with columns x and y.
answered 2 hours ago
MickyTMickyT
10.4k21637
$endgroup$
add a comment |
$begingroup$
Wolfram Language (Mathematica), 27 bytes
Round@*Area@*ConvexHullMesh
Try it online!
answered 1 hour ago
attinatattinat
4897
$endgroup$
add a comment |
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2 Answers
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2 Answers
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active
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active
oldest
votes
$begingroup$
SQL Server 2012+, 84 bytes
SELECT Round(Geometry::ConvexHullAggregate(Geometry::Point(x,y,0)).STArea(),0)FROM A
Makes use of the geometry functions and aggregates in SQL Server.
Coordindates are from table A with columns x and y.
answered 2 hours ago
MickyTMickyT
10.4k21637
$endgroup$
add a comment |
$begingroup$
SQL Server 2012+, 84 bytes
SELECT Round(Geometry::ConvexHullAggregate(Geometry::Point(x,y,0)).STArea(),0)FROM A
Makes use of the geometry functions and aggregates in SQL Server.
Coordindates are from table A with columns x and y.
answered 2 hours ago
MickyTMickyT
10.4k21637
$endgroup$
add a comment |
$begingroup$
SQL Server 2012+, 84 bytes
SELECT Round(Geometry::ConvexHullAggregate(Geometry::Point(x,y,0)).STArea(),0)FROM A
Makes use of the geometry functions and aggregates in SQL Server.
Coordindates are from table A with columns x and y.
answered 2 hours ago
MickyTMickyT
10.4k21637
$endgroup$
SQL Server 2012+, 84 bytes
SELECT Round(Geometry::ConvexHullAggregate(Geometry::Point(x,y,0)).STArea(),0)FROM A
Makes use of the geometry functions and aggregates in SQL Server.
Coordindates are from table A with columns x and y.
answered 2 hours ago
MickyTMickyT
10.4k21637
answered 2 hours ago
MickyTMickyT
10.4k21637
answered 2 hours ago
MickyTMickyT
10.4k21637
answered 2 hours ago
MickyTMickyT
10.4k21637
10.4k21637
add a comment |
add a comment |
$begingroup$
Wolfram Language (Mathematica), 27 bytes
Round@*Area@*ConvexHullMesh
Try it online!
answered 1 hour ago
attinatattinat
4897
$endgroup$
add a comment |
$begingroup$
Wolfram Language (Mathematica), 27 bytes
Round@*Area@*ConvexHullMesh
Try it online!
answered 1 hour ago
attinatattinat
4897
$endgroup$
add a comment |
$begingroup$
Wolfram Language (Mathematica), 27 bytes
Round@*Area@*ConvexHullMesh
Try it online!
answered 1 hour ago
attinatattinat
4897
$endgroup$
Wolfram Language (Mathematica), 27 bytes
Round@*Area@*ConvexHullMesh
Try it online!
answered 1 hour ago
attinatattinat
4897
answered 1 hour ago
attinatattinat
4897
answered 1 hour ago
attinatattinat
4897
answered 1 hour ago
attinatattinat
4897
4897
add a comment |
add a comment |
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2
$begingroup$
Do you have any test cases?
$endgroup$
– Maltysen
3 hours ago
5
$begingroup$
Not counting whitespace in code golf is a bad idea, it leads to submissions with massive strings of whitespace plus generic code to convert the string to code and execute it.
$endgroup$
– xnor
2 hours ago
1
$begingroup$
So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
22 mins ago