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package factors
import (
"fmt"
"maps"
"math"
"testing"
)
// Run a test with a table of cases
func tableTest[IN comparable, OUT any](t *testing.T, toTest func(IN) OUT,
cases map[IN]OUT, equal func(OUT, OUT) bool, name string) {
for input, expected := range cases {
t.Run(fmt.Sprintf("%v", input), func(t *testing.T) {
actual := toTest(input)
if !equal(expected, actual) {
t.Errorf("%s(%v) = %v, expect %v", name, input, actual, expected)
}
})
}
}
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) {
equal := func(a, b PrimeFactorization) bool {
return maps.Equal(a.exponents, b.exponents)
}
tableTest(t, PrimeFactorize, primeFactorCases, equal, "PrimeFactorize")
}
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) {
tableTest(t, Factors, factorCases, setEquals, "Factors")
}
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) {
equals := func(a, b float64) bool { return floatEquals(a, b, 1e-15) }
tableTest(t, TotativeRatio, totativeRatioCases, equals, "TotativeRatio")
}
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) {
// factors.Score is accurate enough that we can test for exact floats!
tableTest(t, Score, factorScoreCases, stdEquals, "Score")
}
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) {
tableTest(t, BasicRank, basicRankCases, stdEquals, "BasicRank")
}
var gcdCases = map[struct{ a, b uint64 }]uint64{
{0, 0}: 0, {1, 1}: 1,
{6, 10}: 2, {10, 6}: 2,
{12, 20}: 4, {20, 12}: 4,
{20, 55}: 5, {55, 20}: 5,
{60, 120}: 60, {120, 60}: 60,
}
// a version of gcd() for testing purposes
func gcdTest(c struct{ a, b uint64 }) uint64 {
return gcd(c.a, c.b)
}
func TestGCD(t *testing.T) {
tableTest(t, gcdTest, gcdCases, stdEquals, "gcd")
}
var mtcCases = map[uint64]uint64{
2: 0, 3: 0, 4: 2, 5: 10, 6: 8,
7: 28, 8: 26, 9: 42, 10: 42, 11: 88, 12: 52,
13: 130, 14: 100, 15: 116, 16: 138, 18: 146,
20: 190, 24: 252, 28: 416, 30: 380, 32: 618, 36: 598,
48: 1100, 60: 1496, 64: 2602, 90: 3662, 120: 6080,
210: 18542, 360: 54362, 840: 270122, 2520: 2363528, 5040: 9409112,
}
func TestMTC(t *testing.T) {
tableTest(t, MTC, mtcCases, stdEquals, "MTC")
}
var sanCases = map[uint32]bool{
1: true, 2: true, 4: true, 6: true, 12: true, 24: true, 36: true,
48: true, 60: true, 120: true, 180: true, 240: true, 360: true,
720: true, 840: true, 1260: true, 1680: true, 2520: true, 5040: true,
10080: true, 15120: true, 25200: true, 27720: true, 55440: true,
3: false, 8: false, 13: false, 18: false, 20: false, 30: false,
31: false, 72: false, 107: false, 135: false, 144: false, 300: false,
1728: false, 4000: false, 6912: false, 7560: false,
}
func TestSAN(t *testing.T) {
tableTest(t, isSAN, sanCases, stdEquals, "isSAN")
}
var expOrdCases = map[uint32]bool{
1: true, 2: true, 4: true, 5: false, 6: true, 12: true, 18: false,
20: false, 30: true, 44: false, 60: true, 70: false, 96: true,
101: false, 120: true, 144: true, 770: false, 6912: true, 10010: false,
}
func TestExponentsOrdered(t *testing.T) {
tableTest(t, exponentsOrdered, expOrdCases, stdEquals, "exponentsOrdered")
}
var practicalCases = map[uint32]bool{
1: true, 2: true, 4: true, 6: true, 8: true, 12: true, 16: true,
18: true, 20: true, 24: true, 28: true, 30: true, 32: true, 36: true,
48: true, 60: true, 120: true, 180: true, 240: true, 360: true,
720: true, 840: true, 1260: true, 1680: true, 2520: true, 5040: true,
10080: true, 15120: true, 25200: true, 27720: true, 55440: true,
3: false, 10: false, 27: false, 44: false, 45: false, 68: false,
70: false, 114: false, 121: false, 770: false, 1729: false, 10010: false,
}
func TestPractical(t *testing.T) {
tableTest(t, practical, practicalCases, stdEquals, "practical")
}
var typeCases = map[uint32]NumberType {
2: ColossallyAbundant, 3: NotPractical, 4: Superabundant,
6: ColossallyAbundant, 8: OrderedExponent, 10: NotPractical,
12: ColossallyAbundant, 18: Practical, 20: Practical, 24: Superabundant,
28: Practical, 30: OrderedExponent, 31: NotPractical, 34: NotPractical,
60: ColossallyAbundant, 70: NotPractical, 90: Practical,
120: ColossallyAbundant, 240: Superabundant, 720: Superabundant,
770: NotPractical, 1729: NotPractical, 6912: OrderedExponent,
10010: NotPractical, 10080: Superabundant,
}
func TestType(t *testing.T) {
tableTest(t, Type, typeCases, stdEquals, "Type")
}
// to be used as the equal paramater for tableTest
func stdEquals[T comparable](a, b T) bool { return a == b }
func setEquals[E comparable](a, b []E) bool {
// use maps to simulate sets
// aSet[a] == true means set contains a, false means not
aSet := make(map[E]bool)
bSet := make(map[E]bool)
for _, i := range a {
aSet[i] = true
}
for _, j := range b {
bSet[j] = true
}
return maps.Equal(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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