github.com/consensys/gnark@v0.11.0/backend/groth16/bellman_test.go (about) 1 package groth16 2 3 import ( 4 "bytes" 5 "encoding/base64" 6 "encoding/binary" 7 "testing" 8 9 "github.com/consensys/gnark-crypto/ecc" 10 bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381" 11 "github.com/consensys/gnark-crypto/ecc/bn254/fr" 12 "github.com/consensys/gnark/backend/witness" 13 14 "github.com/stretchr/testify/assert" 15 "github.com/stretchr/testify/require" 16 ) 17 18 // tests adapted from https://github.com/esuwu/groth16-verifier-bls12381 19 func TestVerifyBellmanProof(t *testing.T) { 20 for _, test := range []struct { 21 vk string 22 proof string 23 inputs string 24 ok bool 25 }{ 26 { 27 "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", 28 "lvQLU/KqgFhsLkt/5C/scqs7nWR+eYtyPdWiLVBux9GblT4AhHYMdCgwQfSJcudvsgV6fXoK+DUSRgJ++Nqt+Wvb7GlYlHpxCysQhz26TTu8Nyo7zpmVPH92+UYmbvbQCSvX2BhWtvkfHmqDVjmSIQ4RUMfeveA1KZbSf999NE4qKK8Do+8oXcmTM4LZVmh1rlyqznIdFXPN7x3pD4E0gb6/y69xtWMChv9654FMg05bAdueKt9uA4BEcAbpkdHF", "LcMT3OOlkHLzJBKCKjjzzVMg+r+FVgd52LlhZPB4RFg=", 29 true, 30 }, 31 { 32 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"lvQLU/KqgFhsLkt/5C/scqs7nWR+eYtyPdWiLVBux9GblT4AhHYMdCgwQfSJcudvsgV6fXoK+DUSRgJ++Nqt+Wvb7GlYlHpxCysQhz26TTu8Nyo7zpmVPH92+UYmbvbQCSvX2BhWtvkfHmqDVjmSIQ4RUMfeveA1KZbSf999NE4qKK8Do+8oXcmTM4LZVmh1rlyqznIdFXPN7x3pD4E0gb6/y69xtWMChv9654FMg05bAdueKt9uA4BEcAbpkdHF", "cmzVCcRVnckw3QUPhmG4Bkppeg4K50oDQwQ9EH+Fq1s=", 34 false, 35 }, 36 { 37 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"lvQLU/KqgFhsLkt/5C/scqs7nWR+eYtyPdWiLVBux9GblT4AhHYMdCgwQfSJcudvsgV6fXoK+DUSRgJ++Nqt+Wvb7GlYlHpxCysQhz26TTu8Nyo7zpmVPH92+UYmbvbQCSvX2BhWtvkfHmqDVjmSIQ4RUMfeveA1KZbSf999NE4qKK8Do+8oXcmTM4LZVmh1rlyqznIdFXPN7x3pD4E0gb6/y69xtWMChv9654FMg05bAdueKt9uA4BEcAbpkdHF", "cmzVCcRVnckw3QUPhmG4Bkppeg4K50oDQwQ9EH+Fq1s=", 39 false, 40 }, 41 { 42 "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", 43 "sStVLdyxqInmv76iaNnRFB464lGq48iVeqYWSi2linE9DST0fTNhxSnvSXAoPpt8tFsanj5vPafC+ij/Fh98dOUlMbO42bf280pOZ4lm+zr63AWUpOOIugST+S6pq9zeB0OHp2NY8XFmriOEKhxeabhuV89ljqCDjlhXBeNZwM5zti4zg89Hd8TbKcw46jAsjIJe2Siw3Th7ELQQKR5ucX50f0GISmnOSceePPdvjbGJ8fSFOnSmSp8dK7uyehrU", "", 44 true, 45 }, 46 { 47 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"g53N8ecorvG2sDgNv8D7quVhKMIIpdP9Bqk/8gmV5cJ5Rhk9gKvb4F0ll8J/ZZJVqa27OyciJwx6lym6QpVK9q1ASrqio7rD5POMDGm64Iay/ixXXn+//F+uKgDXADj9AySri2J1j3qEkqqe3kxKthw94DzAfUBPncHfTPazVtE48AfzB1KWZA7Vf/x/3phYs4ckcP7ZrdVViJVLbUgFy543dpKfEH2MD30ZLLYRhw8SatRCyIJuTZcMlluEKG+d", "aZ8tqrOeEJKt4AMqiRF/WJhIKTDC0HeDTgiJVLZ8OEs=", 49 true, 50 }, 51 { 52 "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", 53 "lgFU4Jyo9GdHL7w31u3zXc8RQRnHVarZWNfd0lD45GvvQtwrZ1Y1OKB4T29a79UagPHOdk1S0k0hYAYQyyNAfRUzde1HP8R+2dms75gGZEnx2tXexEN+BVjRJfC8PR1lFJa6xvsEx5uSrOZzKmoMfCwcA55SMT5jFo4+KyWg2wP5OnFPx7XTdEKvf5YhpY0krQKiq3OUu79EwjNF1xV1+iLxx2KEIyK7RSYxO1BHrKOGOEzxSUK00MA+YVHe+DvW", "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", 54 true, 55 }, 56 { 57 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58 "jqPSA/XKqZDJnRSmM0sJxbrFv7GUcA45QMysIx1xTsI3+2iysF5Tr68565ZuO65qjo2lklZpQo+wtyKSA/56EaKOJZCZhSvDdBEdvVYJCjmWusuK5qav7xZO0w5W1qRiEgIdcGUz5V7JHqfRf4xI6/uUD846alyzzNjxQtKErqJbRw6yyBO6j6box363pinjiMTzU4w/qltzFuOEpKxy/H3vyH8RcsF24Ou/Rb6vfR7cSLtLwCsf/BMtPcsQfdRK", "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", 59 true, 60 }, 61 { 62 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83 "iw5yhCCarVRq/h0Klq4tHNdF1j7PxaDn0AfHTxc2hb//Acav53QStwQShQ0BpQJ7sdchkTTJLkhM13+JpPY/I2WIc6DMZdRzw3pRjLSdMUmce7LYbBJOI+/IyuLZH5IXA7sX4r+xrPssIaMiKR3twmmReN9NrSoovLepDsNmzDVraO71B4rkx7uPXvkqvt3Zkr2EPBjj2m83dbA/GGVgoYYjgBmFX6/srvLADxerZTKG2moOQrmAx9GJ99nwhRbW", "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", 84 false, 85 }, 86 } { 87 // decode verifying key 88 vk := NewVerifyingKey(ecc.BLS12_381) 89 90 vkBytes, err := base64.StdEncoding.DecodeString(test.vk) 91 require.NoError(t, err) 92 93 _, err = vk.ReadFrom(bytes.NewReader(vkBytes)) 94 require.NoError(t, err) 95 96 // decode proof 97 proofBytes, err := base64.StdEncoding.DecodeString(test.proof) 98 require.NoError(t, err) 99 100 // pad with 0 bytes to account for commitment stuff 101 proofBytes = append(proofBytes, make([]byte, bls12381.SizeOfG1AffineUncompressed+4)...) 102 103 proof := NewProof(ecc.BLS12_381) 104 _, err = proof.ReadFrom(bytes.NewReader(proofBytes)) 105 require.NoError(t, err) 106 107 // decode inputs 108 inputsBytes, err := base64.StdEncoding.DecodeString(test.inputs) 109 require.NoError(t, err) 110 111 // verify groth16 proof 112 // we need to prepend the number of elements in the witness. 113 // witness package expects [nbPublic nbSecret] followed by [n | elements]; 114 // note that n is redundant with nbPublic + nbSecret 115 var buf bytes.Buffer 116 _ = binary.Write(&buf, binary.BigEndian, uint32(len(inputsBytes)/(fr.Limbs*8))) 117 _ = binary.Write(&buf, binary.BigEndian, uint32(0)) 118 _ = binary.Write(&buf, binary.BigEndian, uint32(len(inputsBytes)/(fr.Limbs*8))) 119 buf.Write(inputsBytes) 120 121 witness, err := witness.New(ecc.BLS12_381.ScalarField()) 122 require.NoError(t, err) 123 124 err = witness.UnmarshalBinary(buf.Bytes()) 125 require.NoError(t, err) 126 127 err = Verify(proof, vk, witness) 128 if test.ok { 129 assert.NoError(t, err) 130 } 131 } 132 }