Centroid of a set of N-dimensional points: Difference between revisions
Centroid of a set of N-dimensional points (view source)
Revision as of 11:21, 17 July 2023
, 10 months agoAdded Go
(→{{header|Wren}}: Added some validity checks.) |
(Added Go) |
||
Line 27:
;; [[https://mathworld.wolfram.com/GeometricCentroid.html Wolfram Mathworld on Centroid]]
=={{header|Go}}==
{{trans|Wren}}
The image will, of course, be the same as Wren when the relevant points are fed into Gnuplot.
<syntaxhighlight lang="go">package main
import (
"fmt"
"log"
)
func centroid(pts [][]float64) []float64 {
n := len(pts)
if n == 0 {
log.Fatal("Slice must contain at least one point.")
}
d := len(pts[0])
for i := 1; i < n; i++ {
if len(pts[i]) != d {
log.Fatal("Points must all have the same dimension.")
}
}
res := make([]float64, d)
for j := 0; j < d; j++ {
for i := 0; i < n; i++ {
res[j] += pts[i][j]
}
res[j] /= float64(n)
}
return res
}
func main() {
points := [][][]float64{
{{1}, {2}, {3}},
{{8, 2}, {0, 0}},
{{5, 5, 0}, {10, 10, 0}},
{{1, 3.1, 6.5}, {-2, -5, 3.4}, {-7, -4, 9}, {2, 0, 3}},
{{0, 0, 0, 0, 1}, {0, 0, 0, 1, 0}, {0, 0, 1, 0, 0}, {0, 1, 0, 0, 0}},
}
for _, pts := range points {
fmt.Println(pts, "=> Centroid:", centroid(pts))
}
}</syntaxhighlight>
{{out}}
<pre>
[[1] [2] [3]] => Centroid: [2]
[[8 2] [0 0]] => Centroid: [4 1]
[[5 5 0] [10 10 0]] => Centroid: [7.5 7.5 0]
[[1 3.1 6.5] [-2 -5 3.4] [-7 -4 9] [2 0 3]] => Centroid: [-1.5 -1.475 5.475]
[[0 0 0 0 1] [0 0 0 1 0] [0 0 1 0 0] [0 1 0 0 0]] => Centroid: [0 0.25 0.25 0.25 0.25]
</pre>
=={{header|Julia}}==
| |||