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231 lines
9.6 KiB
231 lines
9.6 KiB
/**
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* Author......: See docs/credits.txt
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* License.....: MIT
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*/
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#ifndef _INC_ECC_SECP256K1_H
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#define _INC_ECC_SECP256K1_H
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// y^2 = x^3 + ax + b with a = 0 and b = 7 => y^2 = x^3 + 7:
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#define SECP256K1_B 7
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// finite field Fp
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// p = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F
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#define SECP256K1_P0 0xfffffc2f
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#define SECP256K1_P1 0xfffffffe
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#define SECP256K1_P2 0xffffffff
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#define SECP256K1_P3 0xffffffff
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#define SECP256K1_P4 0xffffffff
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#define SECP256K1_P5 0xffffffff
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#define SECP256K1_P6 0xffffffff
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#define SECP256K1_P7 0xffffffff
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// prime order N
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// n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141
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#define SECP256K1_N0 0xd0364141
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#define SECP256K1_N1 0xbfd25e8c
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#define SECP256K1_N2 0xaf48a03b
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#define SECP256K1_N3 0xbaaedce6
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#define SECP256K1_N4 0xfffffffe
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#define SECP256K1_N5 0xffffffff
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#define SECP256K1_N6 0xffffffff
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#define SECP256K1_N7 0xffffffff
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// the base point G in compressed form for transform_public
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// G = 02 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798
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#define SECP256K1_G_PARITY 0x00000002
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#define SECP256K1_G0 0x16f81798
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#define SECP256K1_G1 0x59f2815b
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#define SECP256K1_G2 0x2dce28d9
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#define SECP256K1_G3 0x029bfcdb
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#define SECP256K1_G4 0xce870b07
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#define SECP256K1_G5 0x55a06295
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#define SECP256K1_G6 0xf9dcbbac
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#define SECP256K1_G7 0x79be667e
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// the base point G in compressed form for parse_public
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// parity and reversed byte/char (8 bit) byte order
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// G = 02 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798
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#define SECP256K1_G_STRING0 0x66be7902
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#define SECP256K1_G_STRING1 0xbbdcf97e
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#define SECP256K1_G_STRING2 0x62a055ac
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#define SECP256K1_G_STRING3 0x0b87ce95
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#define SECP256K1_G_STRING4 0xfc9b0207
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#define SECP256K1_G_STRING5 0x28ce2ddb
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#define SECP256K1_G_STRING6 0x81f259d9
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#define SECP256K1_G_STRING7 0x17f8165b
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#define SECP256K1_G_STRING8 0x00000098
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// pre computed values, can be verified using private keys for
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// x1 is the same as the basepoint g
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// x1 WIF: KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU73sVHnoWn
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// x3 WIF: KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU74sHUHy8S
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// x5 WIF: KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU75s2EPgZf
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// x7 WIF: KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU76rnZwVdz
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// x1: 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798
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// x1: 79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
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#define SECP256K1_G_PRE_COMPUTED_00 0x16f81798
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#define SECP256K1_G_PRE_COMPUTED_01 0x59f2815b
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#define SECP256K1_G_PRE_COMPUTED_02 0x2dce28d9
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#define SECP256K1_G_PRE_COMPUTED_03 0x029bfcdb
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#define SECP256K1_G_PRE_COMPUTED_04 0xce870b07
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#define SECP256K1_G_PRE_COMPUTED_05 0x55a06295
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#define SECP256K1_G_PRE_COMPUTED_06 0xf9dcbbac
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#define SECP256K1_G_PRE_COMPUTED_07 0x79be667e
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// y1: 483ADA77 26A3C465 5DA4FBFC 0E1108A8 FD17B448 A6855419 9C47D08F FB10D4B8
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// y1: 483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
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#define SECP256K1_G_PRE_COMPUTED_08 0xfb10d4b8
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#define SECP256K1_G_PRE_COMPUTED_09 0x9c47d08f
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#define SECP256K1_G_PRE_COMPUTED_10 0xa6855419
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#define SECP256K1_G_PRE_COMPUTED_11 0xfd17b448
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#define SECP256K1_G_PRE_COMPUTED_12 0x0e1108a8
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#define SECP256K1_G_PRE_COMPUTED_13 0x5da4fbfc
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#define SECP256K1_G_PRE_COMPUTED_14 0x26a3c465
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#define SECP256K1_G_PRE_COMPUTED_15 0x483ada77
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// -y1: B7C52588 D95C3B9A A25B0403 F1EEF757 02E84BB7 597AABE6 63B82F6F 04EF2777
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// -y1: B7C52588D95C3B9AA25B0403F1EEF75702E84BB7597AABE663B82F6F04EF2777
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#define SECP256K1_G_PRE_COMPUTED_16 0x04ef2777
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#define SECP256K1_G_PRE_COMPUTED_17 0x63b82f6f
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#define SECP256K1_G_PRE_COMPUTED_18 0x597aabe6
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#define SECP256K1_G_PRE_COMPUTED_19 0x02e84bb7
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#define SECP256K1_G_PRE_COMPUTED_20 0xf1eef757
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#define SECP256K1_G_PRE_COMPUTED_21 0xa25b0403
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#define SECP256K1_G_PRE_COMPUTED_22 0xd95c3b9a
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#define SECP256K1_G_PRE_COMPUTED_23 0xb7c52588
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// x3: F9308A01 9258C310 49344F85 F89D5229 B531C845 836F99B0 8601F113 BCE036F9
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// x3: F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9
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#define SECP256K1_G_PRE_COMPUTED_24 0xbce036f9
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#define SECP256K1_G_PRE_COMPUTED_25 0x8601f113
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#define SECP256K1_G_PRE_COMPUTED_26 0x836f99b0
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#define SECP256K1_G_PRE_COMPUTED_27 0xb531c845
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#define SECP256K1_G_PRE_COMPUTED_28 0xf89d5229
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#define SECP256K1_G_PRE_COMPUTED_29 0x49344f85
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#define SECP256K1_G_PRE_COMPUTED_30 0x9258c310
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#define SECP256K1_G_PRE_COMPUTED_31 0xf9308a01
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// y3: 388F7B0F 632DE814 0FE337E6 2A37F356 6500A999 34C2231B 6CB9FD75 84B8E672
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// y3: 388F7B0F632DE8140FE337E62A37F3566500A99934C2231B6CB9FD7584B8E672
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#define SECP256K1_G_PRE_COMPUTED_32 0x84b8e672
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#define SECP256K1_G_PRE_COMPUTED_33 0x6cb9fd75
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#define SECP256K1_G_PRE_COMPUTED_34 0x34c2231b
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#define SECP256K1_G_PRE_COMPUTED_35 0x6500a999
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#define SECP256K1_G_PRE_COMPUTED_36 0x2a37f356
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#define SECP256K1_G_PRE_COMPUTED_37 0x0fe337e6
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#define SECP256K1_G_PRE_COMPUTED_38 0x632de814
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#define SECP256K1_G_PRE_COMPUTED_39 0x388f7b0f
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// -y3: C77084F0 9CD217EB F01CC819 D5C80CA9 9AFF5666 CB3DDCE4 93460289 7B4715BD
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// -y3: C77084F09CD217EBF01CC819D5C80CA99AFF5666CB3DDCE4934602897B4715BD
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#define SECP256K1_G_PRE_COMPUTED_40 0x7b4715bd
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#define SECP256K1_G_PRE_COMPUTED_41 0x93460289
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#define SECP256K1_G_PRE_COMPUTED_42 0xcb3ddce4
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#define SECP256K1_G_PRE_COMPUTED_43 0x9aff5666
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#define SECP256K1_G_PRE_COMPUTED_44 0xd5c80ca9
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#define SECP256K1_G_PRE_COMPUTED_45 0xf01cc819
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#define SECP256K1_G_PRE_COMPUTED_46 0x9cd217eb
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#define SECP256K1_G_PRE_COMPUTED_47 0xc77084f0
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// x5: 2F8BDE4D 1A072093 55B4A725 0A5C5128 E88B84BD DC619AB7 CBA8D569 B240EFE4
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// x5: 2F8BDE4D1A07209355B4A7250A5C5128E88B84BDDC619AB7CBA8D569B240EFE4
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#define SECP256K1_G_PRE_COMPUTED_48 0xb240efe4
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#define SECP256K1_G_PRE_COMPUTED_49 0xcba8d569
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#define SECP256K1_G_PRE_COMPUTED_50 0xdc619ab7
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#define SECP256K1_G_PRE_COMPUTED_51 0xe88b84bd
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#define SECP256K1_G_PRE_COMPUTED_52 0x0a5c5128
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#define SECP256K1_G_PRE_COMPUTED_53 0x55b4a725
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#define SECP256K1_G_PRE_COMPUTED_54 0x1a072093
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#define SECP256K1_G_PRE_COMPUTED_55 0x2f8bde4d
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// y5: D8AC2226 36E5E3D6 D4DBA9DD A6C9C426 F788271B AB0D6840 DCA87D3A A6AC62D6
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// y5: D8AC222636E5E3D6D4DBA9DDA6C9C426F788271BAB0D6840DCA87D3AA6AC62D6
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#define SECP256K1_G_PRE_COMPUTED_56 0xa6ac62d6
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#define SECP256K1_G_PRE_COMPUTED_57 0xdca87d3a
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#define SECP256K1_G_PRE_COMPUTED_58 0xab0d6840
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#define SECP256K1_G_PRE_COMPUTED_59 0xf788271b
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#define SECP256K1_G_PRE_COMPUTED_60 0xa6c9c426
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#define SECP256K1_G_PRE_COMPUTED_61 0xd4dba9dd
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#define SECP256K1_G_PRE_COMPUTED_62 0x36e5e3d6
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#define SECP256K1_G_PRE_COMPUTED_63 0xd8ac2226
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// -y5: 2753DDD9 C91A1C29 2B245622 59363BD9 0877D8E4 54F297BF 235782C4 59539959
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// -y5: 2753DDD9C91A1C292B24562259363BD90877D8E454F297BF235782C459539959
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#define SECP256K1_G_PRE_COMPUTED_64 0x59539959
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#define SECP256K1_G_PRE_COMPUTED_65 0x235782c4
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#define SECP256K1_G_PRE_COMPUTED_66 0x54f297bf
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#define SECP256K1_G_PRE_COMPUTED_67 0x0877d8e4
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#define SECP256K1_G_PRE_COMPUTED_68 0x59363bd9
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#define SECP256K1_G_PRE_COMPUTED_69 0x2b245622
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#define SECP256K1_G_PRE_COMPUTED_70 0xc91a1c29
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#define SECP256K1_G_PRE_COMPUTED_71 0x2753ddd9
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// x7: 5CBDF064 6E5DB4EA A398F365 F2EA7A0E 3D419B7E 0330E39C E92BDDED CAC4F9BC
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// x7: 5CBDF0646E5DB4EAA398F365F2EA7A0E3D419B7E0330E39CE92BDDEDCAC4F9BC
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#define SECP256K1_G_PRE_COMPUTED_72 0xcac4f9bc
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#define SECP256K1_G_PRE_COMPUTED_73 0xe92bdded
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#define SECP256K1_G_PRE_COMPUTED_74 0x0330e39c
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#define SECP256K1_G_PRE_COMPUTED_75 0x3d419b7e
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#define SECP256K1_G_PRE_COMPUTED_76 0xf2ea7a0e
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#define SECP256K1_G_PRE_COMPUTED_77 0xa398f365
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#define SECP256K1_G_PRE_COMPUTED_78 0x6e5db4ea
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#define SECP256K1_G_PRE_COMPUTED_79 0x5cbdf064
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// y7: 6AEBCA40 BA255960 A3178D6D 861A54DB A813D0B8 13FDE7B5 A5082628 087264DA
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// y7: 6AEBCA40BA255960A3178D6D861A54DBA813D0B813FDE7B5A5082628087264DA
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#define SECP256K1_G_PRE_COMPUTED_80 0x087264da
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#define SECP256K1_G_PRE_COMPUTED_81 0xa5082628
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#define SECP256K1_G_PRE_COMPUTED_82 0x13fde7b5
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#define SECP256K1_G_PRE_COMPUTED_83 0xa813d0b8
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#define SECP256K1_G_PRE_COMPUTED_84 0x861a54db
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#define SECP256K1_G_PRE_COMPUTED_85 0xa3178d6d
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#define SECP256K1_G_PRE_COMPUTED_86 0xba255960
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#define SECP256K1_G_PRE_COMPUTED_87 0x6aebca40
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// -y7: 951435BF 45DAA69F 5CE87292 79E5AB24 57EC2F47 EC02184A 5AF7D9D6 F78D9755
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// -y7: 951435BF45DAA69F5CE8729279E5AB2457EC2F47EC02184A5AF7D9D6F78D9755
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#define SECP256K1_G_PRE_COMPUTED_88 0xf78d9755
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#define SECP256K1_G_PRE_COMPUTED_89 0x5af7d9d6
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#define SECP256K1_G_PRE_COMPUTED_90 0xec02184a
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#define SECP256K1_G_PRE_COMPUTED_91 0x57ec2f47
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#define SECP256K1_G_PRE_COMPUTED_92 0x79e5ab24
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#define SECP256K1_G_PRE_COMPUTED_93 0x5ce87292
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#define SECP256K1_G_PRE_COMPUTED_94 0x45daa69f
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#define SECP256K1_G_PRE_COMPUTED_95 0x951435bf
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#define SECP256K1_PRE_COMPUTED_XY_SIZE 96
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#define SECP256K1_NAF_SIZE 33 // 32+1, we need one extra slot
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#define PUBLIC_KEY_LENGTH_WITHOUT_PARITY 8
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#define PUBLIC_KEY_LENGTH_X_Y_WITHOUT_PARITY 16
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// 8+1 to make room for the parity
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#define PUBLIC_KEY_LENGTH_WITH_PARITY 9
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// (32*8 == 256)
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#define PRIVATE_KEY_LENGTH 8
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// change the type of input/tmps in your kernel (e.g. PRIVATE_AS / CONSTANT_AS):
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#ifndef SECP256K1_TMPS_TYPE
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#define SECP256K1_TMPS_TYPE GLOBAL_AS
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#endif
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typedef struct secp256k1
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{
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u32 xy[SECP256K1_PRE_COMPUTED_XY_SIZE]; // pre-computed points: (x1,y1,-y1),(x3,y3,-y3),(x5,y5,-y5),(x7,y7,-y7)
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} secp256k1_t;
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DECLSPEC u32 transform_public (PRIVATE_AS secp256k1_t *r, PRIVATE_AS const u32 *x, const u32 first_byte);
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DECLSPEC u32 parse_public (PRIVATE_AS secp256k1_t *r, PRIVATE_AS const u32 *k);
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DECLSPEC void point_mul_xy (PRIVATE_AS u32 *x1, PRIVATE_AS u32 *y1, PRIVATE_AS const u32 *k, SECP256K1_TMPS_TYPE const secp256k1_t *tmps);
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DECLSPEC void point_mul (PRIVATE_AS u32 *r, PRIVATE_AS const u32 *k, SECP256K1_TMPS_TYPE const secp256k1_t *tmps);
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DECLSPEC void set_precomputed_basepoint_g (PRIVATE_AS secp256k1_t *r);
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#endif // _INC_ECC_SECP256K1_H
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