surrealpatch/util/math/covariance.go
2017-11-16 19:54:55 +00:00

73 lines
1.3 KiB
Go

// Copyright © 2016 Abcum Ltd
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
package math
import "math"
func Covariance(a, b []float64) float64 {
var ss float64
if len(a) == 0 {
return math.NaN()
}
if len(b) == 0 {
return math.NaN()
}
if len(a) != len(b) {
return math.NaN()
}
l, ma, mb := Size(a), Mean(a), Mean(b)
for i := 0; i < l; i++ {
da := (a[i] - ma)
db := (b[i] - mb)
ss += (da*db - ss) / float64(i+1)
}
return ss * float64(l) / float64(l-1)
}
func PopulationCovariance(a, b []float64) float64 {
var ss float64
if len(a) == 0 {
return math.NaN()
}
if len(b) == 0 {
return math.NaN()
}
if len(a) != len(b) {
return math.NaN()
}
l, ma, mb := Size(a), Mean(a), Mean(b)
for i := 0; i < l; i++ {
da := (a[i] - ma)
db := (b[i] - mb)
ss += da * db
}
return ss / float64(l)
}