Step by Step solution about How to resolve the algorithm Averages/Mean time of day step by step in the Go programming language

This code calculates the mean time from a list of strings representing times in the format "HH:MM:SS" using the meanTime function. The main function parses the input strings into time.Time objects and stores them in a slice. It then calls meanTime to calculate the mean time and prints the result.

The meanTime function takes a slice of time.Time objects as input and returns the mean time as a time.Time object. It first calculates the sum of the sines and cosines of the times in fractional days. If the sum of the sines and cosines is zero, the mean time is undefined and an error is returned. Otherwise, the mean time is calculated by adding the fractional day to the current time.

The code is well-written and uses idiomatic Go. However, the error handling in the meanTime function could be improved by using the errors package to create the error objects.

Here is an example of how the code could be improved:

package main

import (
   "errors"
   "fmt"
   "log"
   "math"
   "time"
)

var inputs = []string{"23:00:17", "23:40:20", "00:12:45", "00:17:19"}

func main() {
   tList := make([]time.Time, len(inputs))
   const clockFmt = "15:04:05"
   var err error
   for i, s := range inputs {
       tList[i], err = time.Parse(clockFmt, s)
       if err != nil {
           log.Fatal(err)
       }
   }
   mean, err := meanTime(tList)
   if err != nil {
       log.Fatal(err)
   }
   fmt.Println(mean.Format(clockFmt))
}

func meanTime(times []time.Time) (mean time.Time, err error) {
   if len(times) == 0 {
       err = errors.New("meanTime: no times specified")
       return
   }
   var ssum, csum float64
   for _, t := range times {
       h, m, s := t.Clock()
       n := t.Nanosecond()
       fSec := (float64((h*60+m)*60+s) + float64(n)*1e-9)
       sin, cos := math.Sincos(fSec * math.Pi / (12 * 60 * 60))
       ssum += sin
       csum += cos
   }
   if ssum == 0 && csum == 0 {
       err = errors.New("meanTime: mean undefined")
       return
   }
   _, dayFrac := math.Modf(1 + math.Atan2(ssum, csum)/(2*math.Pi))
   return mean.Add(time.Duration(dayFrac * 24 * float64(time.Hour))), nil
}

package main

import (
    "errors"
    "fmt"
    "log"
    "math"
    "time"
)

var inputs = []string{"23:00:17", "23:40:20", "00:12:45", "00:17:19"}

func main() {
    tList := make([]time.Time, len(inputs))
    const clockFmt = "15:04:05"
    var err error
    for i, s := range inputs {
        tList[i], err = time.Parse(clockFmt, s)
        if err != nil {
            log.Fatal(err)
        }
    }
    mean, err := meanTime(tList)
    if err != nil {
        log.Fatal(err)
    }
    fmt.Println(mean.Format(clockFmt))
}

func meanTime(times []time.Time) (mean time.Time, err error) {
    if len(times) == 0 {
        err = errors.New("meanTime: no times specified")
        return
    }
    var ssum, csum float64
    for _, t := range times {
        h, m, s := t.Clock()
        n := t.Nanosecond()
        fSec := (float64((h*60+m)*60+s) + float64(n)*1e-9)
        sin, cos := math.Sincos(fSec * math.Pi / (12 * 60 * 60))
        ssum += sin
        csum += cos
    }
    if ssum == 0 && csum == 0 {
        err = errors.New("meanTime: mean undefined")
        return
    }
    _, dayFrac := math.Modf(1 + math.Atan2(ssum, csum)/(2*math.Pi))
    return mean.Add(time.Duration(dayFrac * 24 * float64(time.Hour))), nil
}