Area of a 2D convex hull
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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
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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.
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– xnor
2 hours ago
1
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So if someone can just make a whitespace solution...
$endgroup$
– attinat
1 hour ago
$begingroup$
Related
$endgroup$
– Giuseppe
20 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
20 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
20 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
20 mins ago
$begingroup$
Related
$endgroup$
– Giuseppe
20 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
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add a comment |
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2 Answers
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2 Answers
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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
20 mins ago