autopilot/choice: add weightedChoice tests
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@ -15,6 +15,159 @@ var (
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nID4 = NodeID([33]byte{4})
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)
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// TestWeightedChoiceEmptyMap tests that passing in an empty slice of weights
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// returns an error.
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func TestWeightedChoiceEmptyMap(t *testing.T) {
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t.Parallel()
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var w []float64
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_, err := weightedChoice(w)
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if err != ErrNoPositive {
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t.Fatalf("expected ErrNoPositive when choosing in "+
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"empty map, instead got %v", err)
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}
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}
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// singeNonZero is a type used to generate float64 slices with one non-zero
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// element.
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type singleNonZero []float64
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// Generate generates a value of type sinelNonZero to be used during
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// QuickTests.
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func (singleNonZero) Generate(rand *rand.Rand, size int) reflect.Value {
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w := make([]float64, size)
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// Pick a random index and set it to a random float.
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i := rand.Intn(size)
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w[i] = rand.Float64()
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return reflect.ValueOf(w)
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}
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// TestWeightedChoiceSingleIndex tests that choosing randomly in a slice with
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// one positive element always returns that one index.
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func TestWeightedChoiceSingleIndex(t *testing.T) {
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t.Parallel()
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// Helper that returns the index of the non-zero element.
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allButOneZero := func(weights []float64) (bool, int) {
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var (
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numZero uint32
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nonZeroEl int
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)
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for i, w := range weights {
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if w != 0 {
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numZero++
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nonZeroEl = i
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}
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}
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return numZero == 1, nonZeroEl
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}
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property := func(weights singleNonZero) bool {
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// Make sure the generated slice has exactly one non-zero
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// element.
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conditionMet, nonZeroElem := allButOneZero(weights[:])
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if !conditionMet {
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return false
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}
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// Call weightedChoice and assert it picks the non-zero
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// element.
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choice, err := weightedChoice(weights[:])
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if err != nil {
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return false
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}
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return choice == nonZeroElem
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}
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if err := quick.Check(property, nil); err != nil {
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t.Fatal(err)
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}
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}
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// nonNegative is a type used to generate float64 slices with non-negative
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// elements.
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type nonNegative []float64
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// Generate generates a value of type nonNegative to be used during
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// QuickTests.
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func (nonNegative) Generate(rand *rand.Rand, size int) reflect.Value {
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const precision = 100
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w := make([]float64, size)
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for i := range w {
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r := rand.Float64()
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// For very small weights it won't work to check deviation from
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// expected value, so we set them to zero.
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if r < 0.01*float64(size) {
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r = 0
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}
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w[i] = float64(r)
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}
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return reflect.ValueOf(w)
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}
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func assertChoice(w []float64, iterations int) bool {
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var sum float64
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for _, v := range w {
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sum += v
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}
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// Calculate the expected frequency of each choice.
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expFrequency := make([]float64, len(w))
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for i, ww := range w {
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expFrequency[i] = ww / sum
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}
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chosen := make(map[int]int)
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for i := 0; i < iterations; i++ {
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res, err := weightedChoice(w)
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if err != nil {
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return false
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}
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chosen[res]++
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}
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// Since this is random we check that the number of times chosen is
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// within 20% of the expected value.
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totalChoices := 0
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for i, f := range expFrequency {
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exp := float64(iterations) * f
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v := float64(chosen[i])
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totalChoices += chosen[i]
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expHigh := exp + exp/5
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expLow := exp - exp/5
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if v < expLow || v > expHigh {
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return false
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}
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}
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// The sum of choices must be exactly iterations of course.
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if totalChoices != iterations {
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return false
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}
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return true
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}
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// TestWeightedChoiceDistribution asserts that the weighted choice algorithm
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// chooses among indexes according to their scores.
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func TestWeightedChoiceDistribution(t *testing.T) {
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const iterations = 100000
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property := func(weights nonNegative) bool {
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return assertChoice(weights, iterations)
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}
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if err := quick.Check(property, nil); err != nil {
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t.Fatal(err)
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}
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}
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// TestChooseNEmptyMap checks that chooseN returns an empty result when no
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// nodes are chosen among.
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func TestChooseNEmptyMap(t *testing.T) {
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