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authorAdrien Hopkins <adrien.p.hopkins@gmail.com>2023-09-05 11:15:28 -0500
committerAdrien Hopkins <adrien.p.hopkins@gmail.com>2023-09-05 11:15:28 -0500
commitebdc5107b8b2bd69a65a34a6276fc64b84d210ec (patch)
tree5cf307a129bfa52d362f648d99857209a158d230 /factor_info.go
parentd034179fde42c4fc633b98fef6e84c2e0d1c2834 (diff)
Remove totative ratio from factors API
This value can easily be calculated as φ(r)/r. There is no need to have this now that I have a function φ(r) (renamed to its mathematical name, Totient). I removed totative ratio instead of totient because, while it is more important, totient is an integer while totative ratio is a float. This means that the totative ratio can be calculated exactly from the totient, but not the other way round.
Diffstat (limited to 'factor_info.go')
-rw-r--r--factor_info.go15
1 files changed, 9 insertions, 6 deletions
diff --git a/factor_info.go b/factor_info.go
index f908b9b..c243048 100644
--- a/factor_info.go
+++ b/factor_info.go
@@ -22,7 +22,7 @@ type FactorInfo struct {
Score float64
// The number of digits that are totatives (numbers that share no
// factors with the radix - they are the worst kind of digits)
- TotativeCount uint
+ Totient uint
// The fraction of digits that are totatives (numbers that share no
// factors with the radix - they are the worst kind of digits)
TotativeRatio float64
@@ -77,10 +77,13 @@ func GetFactorInfo(radix uint, fullMap bool) *FactorInfo {
digitMap = []factors.DigitType{}
}
+ totativeCount := factors.Totient(radix)
+ totativeRatio := float64(totativeCount) / float64(radix)
+
return &FactorInfo{radix, factors.PrimeFactorize(radix),
- r_factors, factors.Score(radix), factors.TotativeCount(radix),
- factors.TotativeRatio(radix), factors.BasicRank(radix),
- r_type_ptr, mtc_ptr, math.Log(float64(radix)), digitMap}
+ r_factors, factors.Score(radix), totativeCount, totativeRatio,
+ factors.BasicRank(radix), r_type_ptr, mtc_ptr,
+ math.Log(float64(radix)), digitMap}
}
func (fi *FactorInfo) WriteTo(w io.Writer) {
@@ -88,7 +91,7 @@ func (fi *FactorInfo) WriteTo(w io.Writer) {
fmt.Fprintf(w, "Factors: %v (Score: %.4f)\n", fi.Factors, fi.Score)
fmt.Fprintln(w, "2345 Rank:", fi.BasicRank)
fmt.Fprintf(w, "Totative Digit Count: %d (%.3f%%)\n",
- fi.TotativeCount, fi.TotativeRatio * 100.0)
+ fi.Totient, fi.TotativeRatio * 100.0)
if fi.Type != nil {
writeTypeMessage(w, *fi.Type)
}
@@ -105,7 +108,7 @@ func (fi *FactorInfo) WriteTo(w io.Writer) {
}
func (fi *FactorInfo) WriteToCompact(w io.Writer) {
- fmt.Fprintf(w, "%d = %s | σ(n)/n: %.2f | τ(n)/n: %.3f\n",
+ fmt.Fprintf(w, "%d = %s | σ(n)/n: %.2f | φ(n)/n: %.3f\n",
fi.Radix, fi.PrimeFactorization, fi.Score, fi.TotativeRatio)
if fi.Type != nil {
fmt.Fprintf(w, "%s | ", typeAbbrev(*fi.Type))