|
| 1 | +package main |
| 2 | + |
| 3 | +import ( |
| 4 | + "crypto/rand" |
| 5 | + "fmt" |
| 6 | + "iter" |
| 7 | + "math/big" |
| 8 | + "slices" |
| 9 | + |
| 10 | + bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381" |
| 11 | + fp_bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381/fp" |
| 12 | + fr_bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381/fr" |
| 13 | +) |
| 14 | + |
| 15 | +type affine interface { |
| 16 | + bls12381.G1Affine | bls12381.G2Affine |
| 17 | +} |
| 18 | + |
| 19 | +func generateG1Trivial() bls12381.G1Affine { |
| 20 | + var p bls12381.G1Affine |
| 21 | + p.SetInfinity() |
| 22 | + return p |
| 23 | +} |
| 24 | + |
| 25 | +func generateG2Trivial() bls12381.G2Affine { |
| 26 | + var p bls12381.G2Affine |
| 27 | + p.SetInfinity() |
| 28 | + return p |
| 29 | +} |
| 30 | + |
| 31 | +func generateTrivial[T affine]() T { |
| 32 | + var res T |
| 33 | + switch vv := any(&res).(type) { |
| 34 | + case *bls12381.G1Affine: |
| 35 | + v := generateG1Trivial() |
| 36 | + *vv = v |
| 37 | + case *bls12381.G2Affine: |
| 38 | + v := generateG2Trivial() |
| 39 | + *vv = v |
| 40 | + } |
| 41 | + return res |
| 42 | +} |
| 43 | + |
| 44 | +func generateG1OnCurve() bls12381.G1Affine { |
| 45 | + var x fp_bls12381.Element |
| 46 | + x.MustSetRandom() |
| 47 | + P := bls12381.GeneratePointNotInG1(x) |
| 48 | + var pa bls12381.G1Affine |
| 49 | + pa.FromJacobian(&P) |
| 50 | + if !pa.IsOnCurve() { |
| 51 | + panic("generated point is not on curve") |
| 52 | + } |
| 53 | + if pa.IsInSubGroup() { |
| 54 | + panic("generated point is in subgroup") |
| 55 | + } |
| 56 | + return pa |
| 57 | +} |
| 58 | + |
| 59 | +func generateG2OnCurve() bls12381.G2Affine { |
| 60 | + var x, y fp_bls12381.Element |
| 61 | + x.MustSetRandom() |
| 62 | + y.MustSetRandom() |
| 63 | + e := bls12381.E2{A0: x, A1: y} |
| 64 | + P := bls12381.GeneratePointNotInG2(e) |
| 65 | + var pa bls12381.G2Affine |
| 66 | + pa.FromJacobian(&P) |
| 67 | + if !pa.IsOnCurve() { |
| 68 | + panic("generated point is not on curve") |
| 69 | + } |
| 70 | + if pa.IsInSubGroup() { |
| 71 | + panic("generated point is in subgroup") |
| 72 | + } |
| 73 | + return pa |
| 74 | +} |
| 75 | + |
| 76 | +func generateOnCurve[T affine]() T { |
| 77 | + var res T |
| 78 | + switch vv := any(&res).(type) { |
| 79 | + case *bls12381.G1Affine: |
| 80 | + v := generateG1OnCurve() |
| 81 | + *vv = v |
| 82 | + case *bls12381.G2Affine: |
| 83 | + v := generateG2OnCurve() |
| 84 | + *vv = v |
| 85 | + } |
| 86 | + return res |
| 87 | +} |
| 88 | + |
| 89 | +func generateG1InSubgroup() bls12381.G1Affine { |
| 90 | + var p bls12381.G1Affine |
| 91 | + var s fr_bls12381.Element |
| 92 | + s.MustSetRandom() |
| 93 | + p.ScalarMultiplicationBase(s.BigInt(new(big.Int))) |
| 94 | + return p |
| 95 | +} |
| 96 | + |
| 97 | +func generateG2InSubgroup() bls12381.G2Affine { |
| 98 | + var p bls12381.G2Affine |
| 99 | + var s fr_bls12381.Element |
| 100 | + s.MustSetRandom() |
| 101 | + p.ScalarMultiplicationBase(s.BigInt(new(big.Int))) |
| 102 | + return p |
| 103 | +} |
| 104 | + |
| 105 | +func generateInSubgroup[T affine]() T { |
| 106 | + var res T |
| 107 | + switch vv := any(&res).(type) { |
| 108 | + case *bls12381.G1Affine: |
| 109 | + v := generateG1InSubgroup() |
| 110 | + *vv = v |
| 111 | + case *bls12381.G2Affine: |
| 112 | + v := generateG2InSubgroup() |
| 113 | + *vv = v |
| 114 | + } |
| 115 | + return res |
| 116 | +} |
| 117 | + |
| 118 | +func generateG1Invalid() bls12381.G1Affine { |
| 119 | + var p bls12381.G1Affine |
| 120 | + for { |
| 121 | + p.X.SetRandom() |
| 122 | + p.Y.SetRandom() |
| 123 | + if !p.IsOnCurve() { |
| 124 | + return p |
| 125 | + } |
| 126 | + } |
| 127 | +} |
| 128 | + |
| 129 | +func generateG2Invalid() bls12381.G2Affine { |
| 130 | + var p bls12381.G2Affine |
| 131 | + for { |
| 132 | + p.X.A0.SetRandom() |
| 133 | + p.X.A1.SetRandom() |
| 134 | + p.Y.A0.SetRandom() |
| 135 | + p.Y.A1.SetRandom() |
| 136 | + if !p.IsOnCurve() { |
| 137 | + return p |
| 138 | + } |
| 139 | + } |
| 140 | +} |
| 141 | + |
| 142 | +func generateInvalid[T affine]() T { |
| 143 | + var res T |
| 144 | + switch vv := any(&res).(type) { |
| 145 | + case *bls12381.G1Affine: |
| 146 | + v := generateG1Invalid() |
| 147 | + *vv = v |
| 148 | + case *bls12381.G2Affine: |
| 149 | + v := generateG2Invalid() |
| 150 | + *vv = v |
| 151 | + } |
| 152 | + return res |
| 153 | +} |
| 154 | + |
| 155 | +func generateScalar(scalarType msmInputType) *big.Int { |
| 156 | + switch scalarType { |
| 157 | + case msmScalarTrivial: |
| 158 | + return big.NewInt(0) |
| 159 | + case msmScalarRange: |
| 160 | + r, err := rand.Int(rand.Reader, fr_bls12381.Modulus()) |
| 161 | + if err != nil { |
| 162 | + panic(fmt.Sprintf("failed to generate random scalar: %v", err)) |
| 163 | + } |
| 164 | + return r |
| 165 | + case msmScalarBig: |
| 166 | + bound := new(big.Int).Lsh(big.NewInt(1), fr_bls12381.Bits) |
| 167 | + bound.Sub(bound, fr_bls12381.Modulus()) // ensure the scalar is less than the modulus |
| 168 | + // Generate a random scalar that is guaranteed to be big |
| 169 | + r, err := rand.Int(rand.Reader, bound) |
| 170 | + if err != nil { |
| 171 | + panic(fmt.Sprintf("failed to generate random scalar: %v", err)) |
| 172 | + } |
| 173 | + r.Add(r, fr_bls12381.Modulus()) // ensure the scalar is larger than modulus |
| 174 | + return r |
| 175 | + default: |
| 176 | + panic(fmt.Sprintf("unknown scalar type: %d", scalarType)) |
| 177 | + } |
| 178 | +} |
| 179 | + |
| 180 | +func recIt[T any](newIterator func() iter.Seq2[int, func() T], yield func([]T) bool, width int, vals []func() T) { |
| 181 | + if width == 0 { |
| 182 | + return |
| 183 | + } |
| 184 | + for _, v := range newIterator() { |
| 185 | + newVals := append(vals, v) |
| 186 | + if len(newVals) == width { |
| 187 | + ret := make([]T, len(newVals)) |
| 188 | + for i, f := range newVals { |
| 189 | + ret[i] = f() |
| 190 | + } |
| 191 | + if !yield(ret) { |
| 192 | + return |
| 193 | + } |
| 194 | + } else { |
| 195 | + recIt(newIterator, yield, width, newVals) |
| 196 | + } |
| 197 | + } |
| 198 | +} |
| 199 | + |
| 200 | +func cartesianProduct[T any](width int, newIterator func() iter.Seq2[int, func() T]) iter.Seq[[]T] { |
| 201 | + return func(yield func([]T) bool) { |
| 202 | + recIt(newIterator, yield, width, []func() T{}) |
| 203 | + } |
| 204 | +} |
| 205 | + |
| 206 | +func splitG1ToLimbs(p bls12381.G1Affine) []string { |
| 207 | + limbs := slices.Concat( |
| 208 | + splitBaseToLimbs(p.X), |
| 209 | + splitBaseToLimbs(p.Y), |
| 210 | + ) |
| 211 | + return limbs |
| 212 | +} |
| 213 | + |
| 214 | +func splitG2ToLimbs(q bls12381.G2Affine) []string { |
| 215 | + limbs := slices.Concat( |
| 216 | + splitBaseToLimbs(q.X.A1), |
| 217 | + splitBaseToLimbs(q.X.A0), |
| 218 | + splitBaseToLimbs(q.Y.A1), |
| 219 | + splitBaseToLimbs(q.Y.A0), |
| 220 | + ) |
| 221 | + return limbs |
| 222 | +} |
| 223 | + |
| 224 | +func splitToLimbs[T affine](p T) []string { |
| 225 | + switch vv := any(p).(type) { |
| 226 | + case bls12381.G1Affine: |
| 227 | + return splitG1ToLimbs(vv) |
| 228 | + case bls12381.G2Affine: |
| 229 | + return splitG2ToLimbs(vv) |
| 230 | + default: |
| 231 | + panic(fmt.Sprintf("unknown type for splitting to limbs: %T", p)) |
| 232 | + } |
| 233 | +} |
| 234 | + |
| 235 | +func splitScalarToLimbs(s *big.Int) []string { |
| 236 | + var sb [32]byte |
| 237 | + s.FillBytes(sb[:]) |
| 238 | + limbs := []string{ |
| 239 | + fmt.Sprintf("0x%x", sb[0:16]), |
| 240 | + fmt.Sprintf("0x%x", sb[16:32]), |
| 241 | + } |
| 242 | + return limbs |
| 243 | +} |
| 244 | + |
| 245 | +func splitBaseToLimbs(x fp_bls12381.Element) []string { |
| 246 | + xb := x.Bytes() |
| 247 | + limbs := []string{ |
| 248 | + "0x00000000000000000000000000000000", |
| 249 | + fmt.Sprintf("0x%x", xb[0:16]), |
| 250 | + fmt.Sprintf("0x%x", xb[16:32]), |
| 251 | + fmt.Sprintf("0x%x", xb[32:48]), |
| 252 | + } |
| 253 | + return limbs |
| 254 | +} |
| 255 | + |
| 256 | +func formatBoolAsInt(b bool) string { |
| 257 | + if b { |
| 258 | + return "1" |
| 259 | + } |
| 260 | + return "0" |
| 261 | +} |
| 262 | + |
| 263 | +func splitG1CompressedLimbs(bts [bls12381.SizeOfG1AffineCompressed]byte) []string { |
| 264 | + limbs := []string{ |
| 265 | + fmt.Sprintf("0x%x", bts[32:48]), |
| 266 | + fmt.Sprintf("0x%x", bts[16:32]), |
| 267 | + fmt.Sprintf("0x%x", bts[0:16]), |
| 268 | + } |
| 269 | + return limbs |
| 270 | +} |
| 271 | + |
| 272 | +func splitVersionedHashToLimbs(h [32]byte) []string { |
| 273 | + limbs := []string{ |
| 274 | + fmt.Sprintf("0x%x", h[16:32]), |
| 275 | + fmt.Sprintf("0x%x", h[0:16]), |
| 276 | + } |
| 277 | + return limbs |
| 278 | +} |
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