Add totative digit count to non-compact output

This is done for a few reasons:
- Allow the user to easily determine the exact value of the totative
  ratio
- This information is important when the digit map isn't accessible (for
  radices >36)
- More consistency with factors

I don't show the exact values of totatives like I do with factors
because they're far more common - the superior highly composite (i.e.
one of the numbers with the highest factor count) number 720720 has
240 factors and 138240 totatives, for example.

1 files changed, 9 insertions, 0 deletions

diff --git a/factors/factors_test.go b/factors/factors_test.go
index 8373ede..6b56e25 100644
--- a/factors/factors_test.go
+++ b/factors/factors_test.go
@@ -71,6 +71,15 @@ func TestTotativeRatio(t *testing.T) {
 	tableTest(t, TotativeRatio, totativeRatioCases, stdEquals, "TotativeRatio")
 }
 
+var totativeCountCases = map[uint]uint{
+	1: 1, 2: 1, 3: 2, 4: 2, 6: 2, 7: 6, 8: 4, 12: 4,
+	14: 6, 15: 8, 30: 8, 60: 16, 120: 32,
+}
+
+func TestTotativeCount(t *testing.T) {
+	tableTest(t, TotativeCount, totativeCountCases, stdEquals, "TotativeCount")
+}
+
 var factorScoreCases = map[uint]float64{
 	1:   1.0,
 	2:   1.5,