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|
package factors
import (
"fmt"
"math"
"testing"
)
var primeFactorCases = map[uint]PrimeFactorization{
0: PrimeFactorization{map[uint]uint{0: 1}},
1: PrimeFactorization{map[uint]uint{}},
2: PrimeFactorization{map[uint]uint{2: 1}},
3: PrimeFactorization{map[uint]uint{3: 1}},
4: PrimeFactorization{map[uint]uint{2: 2}},
6: PrimeFactorization{map[uint]uint{2: 1, 3: 1}},
10: PrimeFactorization{map[uint]uint{2: 1, 5: 1}},
12: PrimeFactorization{map[uint]uint{2: 2, 3: 1}},
33: PrimeFactorization{map[uint]uint{3: 1, 11: 1}},
60: PrimeFactorization{map[uint]uint{2: 2, 3: 1, 5: 1}},
86400: PrimeFactorization{map[uint]uint{2: 7, 3: 3, 5: 2}},
}
func TestPrimeFactorize(t *testing.T) {
for i, expected := range primeFactorCases {
testname := fmt.Sprintf("%d", i)
t.Run(testname, func(t *testing.T) {
actual := PrimeFactorize(i)
if !mapEquals(expected.exponents, actual.exponents) {
t.Errorf("PrimeFactorize(%d) = %s, want %s", i, actual, expected)
}
})
}
}
var factorCases = map[uint][]uint{
1: []uint{1},
2: []uint{1, 2},
4: []uint{1, 2, 4},
6: []uint{1, 2, 3, 6},
10: []uint{1, 2, 5, 10},
12: []uint{1, 2, 3, 4, 6, 12},
13: []uint{1, 13},
15: []uint{1, 3, 5, 15},
18: []uint{1, 2, 3, 6, 9, 18},
60: []uint{1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60},
}
func TestFactors(t *testing.T) {
for i, expected := range factorCases {
testname := fmt.Sprintf("%d", i)
t.Run(testname, func(t *testing.T) {
actual := Factors(i)
if !setEquals(expected, actual) {
t.Errorf("Factors(%d) = %v, want %v", i, actual, expected)
}
})
}
}
var totativeRatioCases = map[uint]float64{
1: 1.0,
2: 0.5,
3: 2.0 / 3.0,
4: 0.5,
6: 1.0 / 3.0,
8: 0.5,
12: 1.0 / 3.0,
}
func TestTotativeRatio(t *testing.T) {
for i, expected := range totativeRatioCases {
testname := fmt.Sprintf("%d", i)
t.Run(testname, func(t *testing.T) {
actual := TotativeRatio(i)
if !floatEquals(expected, actual, 1e-15) {
t.Errorf("TotativeRatio(%d) = %v, want %v", i, actual, expected)
}
})
}
}
var factorScoreCases = map[uint]float64{
1: 1.0,
2: 1.5,
3: 4.0 / 3.0,
4: 1.75,
6: 2.0,
8: 1.875,
10: 1.8,
12: 7.0 / 3.0,
120: 3.0,
}
func TestFactorScore(t *testing.T) {
for i, expected := range factorScoreCases {
testname := fmt.Sprintf("%d", i)
t.Run(testname, func(t *testing.T) {
actual := Score(i)
// factors.Score is accurate enough that we can test
// for exact float values!
if expected != actual {
t.Errorf("Score(%d) = %v, want %v", i, actual, expected)
}
})
}
}
var basicRankCases = map[uint]string{
2: "D-", 3: "E-", 4: "C~", 5: "F+", 6: "B~",
7: "F-", 8: "C-", 9: "E~", 10: "D+", 11: "F~", 12: "A-",
14: "D~", 15: "E+", 18: "B-", 20: "C+", 24: "A~", 30: "B+", 60: "A+",
}
func TestBasicRank (t *testing.T) {
for i, expected := range basicRankCases {
t.Run(fmt.Sprintf("%d", i), func(t *testing.T) {
actual := BasicRank(i)
if expected != actual {
t.Errorf("BasicRank(%d) = %s, want %s", i, actual, expected)
}
})
}
}
func mapEquals[K comparable, V comparable](a, b map[K]V) bool {
for k := range a {
if a[k] != b[k] {
return false
}
}
for k := range b {
if a[k] != b[k] {
return false
}
}
return true
}
func setEquals(a, b []uint) bool {
// use maps to simulate sets
// aSet[a] == true means set contains a, false means not
aSet := make(map[uint]bool)
bSet := make(map[uint]bool)
for _, i := range a {
aSet[i] = true
}
for _, j := range b {
bSet[j] = true
}
return mapEquals(aSet, bSet)
}
func floatEquals(a, b, maxDelta float64) bool {
return math.Abs(a-b) <= maxDelta*math.Max(math.Abs(a), math.Abs(b))
}
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