package nizk import ( "log" "math/rand" "slices" "strings" "sync" "testing" . "kesim.org/seal/common" ) func runVickrey(n int, bitlength int, tb testing.TB) { var vals = make([]int, n) var ids = make([]Bytes, n) for i := range n { vals[i] = rand.Intn(1<<(bitlength-1) - 1) ids[i] = Curve.RandomScalar() } max := slices.Max(vals) max_idx := slices.Index(vals, max) if max_idx < len(vals)-1 && max == slices.Max(vals[max_idx+1:]) { max_idx = -1 } var bits = make([][]*Bit, n) for i, b := range vals { bits[i] = Int2Bits(ids[i], b, bitlength) } var c = make([]*StageCommitment, n) var Xs = make([]*Point, n) var r = make([]*StageReveal, n) var p1 = make([]*Stage1Proof, n) var Zs = make([]*Point, n) var bj = make([]*Bit, n) var p2 = make([]*Stage2Proof, n) var lost = make([]bool, n) instage1 := true junction := -1 winner := -1 result := 0 isWinner := func(Z *Point, i int, idx int) bool { Z2 := Z.Div(Zs[i]) xu := Curve.Identity() xl := Curve.Identity() for k := range n { if k < i { xu = xu.Mul(Xs[k]) } else if k > i { xl = xl.Div(Xs[k]) } } xu = xu.Exp(bits[i][idx].Stage.x) xl = xl.Exp(bits[i][idx].Stage.x) X2 := xu.Mul(xl) if X2.Equal(Z2) { tb.Logf("equal by value") winner = i } if winner < 0 { // BUG! TODO! s1 := X2.String() s2 := Z2.String() if strings.HasPrefix(s1, s2[:len(s2)-2]) { log.Printf("BUG! TODO! equal only by string") winner = i } } tb.Logf("testing max_idx %d, i %d, bit %d:\n%v vs %v", max_idx, i, idx, X2, Z2) return winner >= 0 } for idx := range bitlength { for i := range n { c[i] = bits[i][idx].StageCommit() Xs[i] = c[i].X } if instage1 { var wg sync.WaitGroup wg.Add(n) for i := range n { go func() { r[i], p1[i] = bits[i][idx].RevealStage1(Xs...) if !bits[i][idx].Commitment.VerifyStage1(c[i], r[i], p1[i]) { tb.Fatalf("bits[%d][%d] commitment failed to verify in stage1", i, idx) } Zs[i] = r[i].Z wg.Done() }() } wg.Wait() Z := Curve.Product(Zs...) if !Id.Equal(Z) { junction = idx instage1 = false for i := range bits { if !lost[i] && !bits[i][idx].IsSet() { lost[i] = true } // Winner test if !lost[i] { isWinner(Z, i, idx) } } result |= 1 << (bitlength - 1 - idx) } continue } // Stage 2 for i := range bits { bj[i] = bits[i][junction] } var wg sync.WaitGroup wg.Add(n) for i := range n { go func() { r[i], p2[i] = bits[i][idx].RevealStage2(lost[i], bj[i], Xs...) if !bits[i][idx].Commitment.VerifyStage2(bj[i].StageCommitment, c[i], bj[i].StageReveal, r[i], p2[i]) { tb.Fatalf("bits[%d][%d] commitment failed to verify in stage2, result so far: %05b", i, idx, result) } Zs[i] = r[i].Z wg.Done() }() } wg.Wait() Z := Curve.Product(Zs...) if !Id.Equal(Z) { junction = idx for i := range n { if !lost[i] && !bits[i][idx].IsSet() { lost[i] = true } // Winner test if !lost[i] && winner < 0 { isWinner(Z, i, idx) } } result |= 1 << (bitlength - 1 - idx) } } if result != max { tb.Fatalf("wrong result: %0[1]*[2]b, expected: %0[1]*[3]b", bitlength, result, max) } if max_idx != winner { tb.Fatalf("wrong winner, max_idx: %d vs winner: %d val %08b\nvals=%08b", max_idx, winner, max, vals) } } func TestVickrey100on24bit(t *testing.T) { runVickrey(100, 32, t) }