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orchard/src/constants/fixed_bases/commit_ivk_r.rs

2964 lines
130 KiB
Rust
Raw Blame History

use group::ff::PrimeField;
use pasta_curves::{arithmetic::CurveAffine, pallas};
/// Generator used in SinsemillaCommit randomness for IVK commitment.
pub const GENERATOR: ([u8; 32], [u8; 32]) = (
[
24, 161, 248, 95, 110, 72, 35, 152, 199, 237, 26, 211, 226, 127, 149, 2, 72, 137, 128, 64,
10, 41, 52, 22, 78, 19, 112, 80, 205, 44, 162, 37,
],
[
169, 221, 127, 227, 179, 147, 231, 63, 199, 166, 88, 27, 251, 66, 68, 107, 148, 87, 75, 40,
196, 144, 200, 194, 235, 250, 162, 102, 153, 210, 207, 41,
],
);
/// Full-width z-values for GENERATOR.
/// These can be reproduced by [`halo2_gadgets::ecc::chip::constants::find_zs_and_us`].
pub const Z: [u64; super::NUM_WINDOWS] = [
18172, 17390, 61749, 65182, 33835, 155942, 26189, 52444, 40096, 139582, 99218, 20669, 291337,
12465, 132211, 75527, 68003, 95835, 237325, 21348, 35494, 215451, 49456, 6332, 99036, 224845,
25324, 23649, 83567, 20531, 9280, 72505, 136089, 21180, 132741, 32676, 18421, 107173, 45630,
24851, 53914, 156083, 104170, 103364, 25728, 9482, 140699, 42185, 285585, 342, 78646, 326807,
68908, 10376, 335378, 138003, 41031, 105432, 37682, 15886, 9325, 42470, 27439, 11884, 13979,
214340, 53073, 76228, 67906, 44696, 178502, 130216, 4242, 142464, 211101, 13210, 66616, 103624,
7870, 143575, 13058, 27070, 30734, 41157, 2955,
];
/// Full-width u-values for GENERATOR.
/// These can be reproduced by [`halo2_gadgets::ecc::chip::constants::find_zs_and_us`].
pub const U: [[[u8; 32]; super::H]; super::NUM_WINDOWS] = [
[
[
38, 43, 235, 53, 200, 116, 153, 194, 47, 92, 18, 54, 194, 221, 170, 155, 205, 143, 92,
174, 249, 178, 182, 216, 217, 200, 148, 84, 184, 201, 111, 24,
],
[
57, 210, 96, 16, 151, 52, 218, 250, 249, 5, 128, 232, 65, 231, 239, 167, 102, 8, 198,
79, 116, 245, 42, 45, 237, 3, 166, 7, 179, 115, 76, 47,
],
[
148, 246, 234, 157, 72, 45, 221, 176, 144, 235, 23, 51, 13, 230, 80, 196, 122, 188, 56,
231, 230, 193, 9, 121, 49, 208, 79, 184, 14, 56, 178, 28,
],
[
139, 148, 48, 95, 182, 176, 253, 110, 107, 242, 54, 21, 66, 103, 169, 9, 207, 182, 149,
92, 151, 154, 80, 129, 107, 53, 158, 194, 114, 17, 67, 9,
],
[
194, 138, 153, 65, 192, 221, 4, 110, 115, 182, 50, 98, 165, 161, 49, 119, 63, 24, 149,
79, 48, 173, 90, 248, 95, 228, 20, 248, 76, 46, 207, 2,
],
[
16, 137, 162, 110, 105, 192, 29, 133, 191, 64, 219, 94, 186, 194, 0, 7, 173, 221, 156,
4, 123, 86, 65, 138, 26, 16, 223, 218, 186, 247, 121, 47,
],
[
247, 8, 62, 207, 128, 127, 80, 169, 185, 32, 34, 54, 198, 4, 121, 42, 44, 173, 233,
161, 24, 123, 170, 24, 37, 186, 147, 80, 34, 6, 65, 9,
],
[
184, 197, 131, 138, 111, 145, 67, 140, 183, 100, 227, 73, 20, 230, 2, 163, 56, 202, 35,
231, 166, 47, 139, 177, 79, 128, 79, 50, 69, 94, 128, 11,
],
],
[
[
228, 55, 222, 252, 163, 143, 71, 34, 215, 169, 224, 143, 57, 193, 87, 79, 96, 233, 88,
62, 140, 245, 144, 229, 235, 154, 159, 134, 176, 74, 10, 13,
],
[
203, 65, 45, 88, 76, 0, 165, 247, 212, 123, 12, 178, 115, 129, 81, 211, 5, 234, 61,
193, 134, 73, 14, 55, 219, 239, 40, 178, 81, 127, 137, 47,
],
[
118, 42, 192, 222, 58, 225, 233, 65, 254, 82, 102, 94, 121, 192, 112, 149, 5, 80, 129,
239, 214, 4, 25, 194, 238, 75, 208, 226, 21, 125, 139, 21,
],
[
12, 65, 189, 92, 187, 162, 133, 145, 218, 177, 133, 115, 1, 196, 23, 21, 197, 179, 85,
84, 108, 33, 144, 51, 214, 196, 130, 16, 7, 67, 46, 10,
],
[
194, 202, 169, 139, 155, 118, 15, 169, 51, 217, 118, 205, 203, 108, 45, 37, 73, 184,
203, 217, 143, 127, 54, 171, 255, 88, 9, 116, 206, 71, 209, 47,
],
[
15, 52, 133, 149, 237, 80, 61, 200, 227, 82, 203, 228, 135, 59, 240, 163, 219, 1, 185,
17, 13, 248, 85, 164, 159, 169, 73, 215, 117, 212, 30, 40,
],
[
30, 200, 206, 82, 181, 95, 234, 33, 234, 33, 165, 40, 175, 71, 221, 104, 194, 48, 80,
67, 53, 13, 117, 131, 33, 22, 81, 190, 171, 25, 115, 24,
],
[
163, 65, 127, 103, 209, 178, 109, 122, 8, 2, 239, 83, 7, 176, 66, 181, 240, 17, 213,
28, 162, 225, 177, 182, 94, 255, 64, 60, 88, 209, 168, 15,
],
],
[
[
201, 133, 116, 99, 229, 230, 38, 216, 86, 54, 178, 27, 247, 159, 97, 189, 201, 167, 43,
60, 241, 97, 140, 243, 94, 64, 91, 28, 229, 55, 135, 52,
],
[
113, 170, 86, 193, 75, 222, 86, 137, 7, 231, 101, 244, 158, 115, 245, 209, 214, 66,
163, 228, 218, 85, 56, 43, 164, 132, 221, 237, 72, 184, 91, 37,
],
[
131, 115, 214, 52, 233, 217, 201, 116, 101, 213, 199, 176, 74, 97, 217, 152, 232, 87,
103, 124, 132, 104, 134, 160, 61, 107, 131, 81, 105, 121, 76, 41,
],
[
172, 44, 224, 71, 175, 155, 74, 150, 250, 191, 110, 29, 54, 146, 12, 247, 71, 51, 30,
163, 203, 51, 46, 255, 155, 118, 193, 185, 138, 20, 142, 10,
],
[
228, 98, 86, 115, 115, 98, 150, 181, 175, 218, 75, 241, 35, 254, 191, 123, 237, 163,
215, 117, 6, 203, 219, 65, 245, 161, 225, 48, 67, 224, 161, 21,
],
[
239, 23, 50, 140, 192, 70, 215, 235, 223, 250, 6, 174, 207, 249, 166, 70, 92, 226, 138,
237, 234, 146, 19, 108, 181, 80, 254, 80, 222, 78, 170, 13,
],
[
105, 88, 220, 64, 178, 53, 69, 119, 203, 32, 253, 120, 201, 121, 5, 44, 163, 120, 62,
197, 13, 211, 222, 212, 161, 35, 191, 40, 81, 239, 98, 45,
],
[
225, 167, 50, 48, 66, 64, 142, 173, 238, 171, 131, 2, 178, 131, 193, 75, 44, 33, 113,
143, 159, 81, 201, 165, 3, 132, 91, 69, 72, 122, 5, 34,
],
],
[
[
48, 191, 86, 130, 85, 144, 157, 35, 36, 188, 210, 224, 234, 51, 152, 200, 136, 137,
168, 97, 97, 189, 232, 39, 51, 165, 73, 68, 233, 37, 14, 0,
],
[
6, 86, 175, 220, 24, 9, 216, 103, 64, 7, 180, 171, 14, 90, 234, 37, 65, 169, 198, 195,
250, 79, 151, 139, 35, 113, 228, 26, 127, 86, 124, 12,
],
[
118, 194, 93, 189, 16, 152, 182, 130, 136, 79, 99, 200, 174, 187, 181, 234, 104, 247,
239, 41, 176, 229, 214, 219, 110, 234, 253, 107, 53, 222, 57, 12,
],
[
159, 96, 55, 104, 236, 61, 119, 214, 121, 9, 146, 92, 89, 231, 232, 121, 66, 195, 105,
66, 174, 191, 212, 118, 92, 30, 223, 222, 54, 171, 24, 58,
],
[
78, 244, 3, 237, 108, 152, 99, 240, 195, 201, 58, 149, 136, 57, 170, 126, 90, 168, 8,
145, 242, 28, 58, 135, 222, 98, 198, 255, 151, 192, 140, 59,
],
[
4, 123, 44, 17, 130, 193, 135, 237, 165, 215, 129, 100, 179, 215, 150, 150, 49, 171,
181, 27, 231, 149, 64, 82, 184, 41, 59, 255, 227, 23, 132, 45,
],
[
249, 11, 208, 25, 21, 210, 141, 96, 112, 168, 221, 247, 108, 62, 216, 218, 77, 3, 13,
218, 133, 242, 76, 40, 72, 115, 242, 250, 118, 60, 40, 53,
],
[
18, 205, 34, 103, 209, 200, 230, 196, 181, 56, 100, 22, 64, 56, 135, 88, 22, 193, 121,
61, 158, 23, 86, 241, 129, 216, 243, 16, 137, 32, 59, 15,
],
],
[
[
67, 188, 36, 61, 110, 49, 190, 197, 209, 218, 102, 48, 19, 161, 118, 249, 7, 228, 251,
198, 69, 36, 45, 30, 122, 113, 228, 247, 161, 90, 215, 62,
],
[
230, 163, 230, 185, 126, 85, 51, 224, 220, 60, 117, 31, 116, 82, 180, 90, 35, 181, 23,
207, 130, 176, 146, 246, 149, 100, 35, 41, 211, 116, 76, 21,
],
[
104, 218, 189, 68, 148, 109, 54, 65, 126, 148, 202, 72, 11, 178, 190, 241, 252, 42, 57,
119, 160, 71, 9, 113, 164, 74, 107, 108, 230, 197, 56, 34,
],
[
168, 67, 227, 161, 138, 101, 117, 205, 122, 79, 124, 156, 61, 254, 239, 74, 52, 246,
136, 119, 100, 235, 111, 76, 249, 228, 33, 181, 76, 48, 244, 8,
],
[
57, 190, 34, 170, 85, 104, 175, 192, 138, 247, 198, 225, 120, 123, 182, 167, 155, 77,
185, 94, 189, 249, 189, 192, 116, 210, 42, 8, 39, 107, 228, 40,
],
[
137, 250, 104, 160, 92, 133, 234, 253, 148, 230, 125, 116, 77, 156, 46, 97, 98, 93, 98,
162, 16, 246, 14, 156, 232, 142, 228, 184, 47, 18, 109, 51,
],
[
181, 234, 243, 86, 130, 53, 164, 12, 44, 2, 138, 234, 32, 159, 29, 199, 83, 104, 6,
251, 157, 245, 119, 243, 192, 124, 83, 141, 84, 7, 253, 37,
],
[
184, 204, 52, 142, 167, 35, 251, 253, 44, 239, 94, 43, 119, 65, 99, 140, 248, 55, 32,
41, 123, 37, 159, 252, 228, 94, 125, 9, 94, 123, 196, 11,
],
],
[
[
220, 27, 17, 56, 42, 160, 65, 249, 171, 103, 2, 144, 119, 111, 173, 243, 169, 246, 74,
94, 178, 136, 81, 131, 137, 145, 8, 199, 129, 187, 82, 40,
],
[
15, 14, 95, 84, 183, 63, 5, 26, 28, 13, 152, 174, 134, 53, 110, 63, 236, 51, 115, 96,
128, 222, 243, 133, 220, 138, 207, 69, 248, 68, 163, 54,
],
[
157, 113, 146, 113, 88, 59, 70, 92, 105, 214, 135, 187, 108, 247, 196, 101, 243, 124,
113, 202, 145, 193, 137, 12, 189, 232, 61, 152, 47, 0, 60, 46,
],
[
121, 124, 78, 224, 66, 132, 151, 208, 89, 48, 210, 229, 250, 246, 187, 115, 132, 246,
165, 83, 116, 100, 176, 192, 157, 149, 229, 90, 164, 247, 106, 48,
],
[
179, 178, 102, 86, 109, 190, 43, 234, 151, 18, 121, 247, 58, 220, 212, 196, 22, 102,
246, 146, 53, 145, 90, 244, 127, 11, 114, 56, 230, 49, 239, 3,
],
[
151, 130, 174, 163, 229, 52, 14, 12, 85, 143, 129, 148, 137, 192, 85, 164, 198, 87,
204, 79, 250, 32, 221, 149, 48, 124, 96, 176, 121, 125, 189, 42,
],
[
153, 91, 143, 221, 234, 183, 165, 196, 154, 195, 52, 111, 21, 112, 103, 209, 234, 104,
139, 132, 183, 44, 110, 33, 16, 107, 25, 181, 58, 37, 166, 25,
],
[
47, 67, 89, 104, 59, 192, 183, 21, 49, 222, 239, 60, 234, 11, 121, 71, 117, 4, 106, 20,
226, 178, 1, 44, 19, 241, 180, 203, 241, 195, 228, 53,
],
],
[
[
123, 55, 47, 2, 155, 105, 127, 151, 194, 54, 66, 196, 200, 140, 171, 69, 209, 52, 213,
234, 88, 138, 177, 18, 190, 175, 136, 118, 192, 121, 3, 60,
],
[
40, 147, 60, 109, 168, 148, 50, 213, 164, 67, 54, 126, 99, 78, 221, 27, 65, 208, 53,
147, 192, 130, 242, 63, 97, 75, 31, 131, 139, 114, 19, 54,
],
[
18, 174, 193, 9, 97, 164, 97, 44, 90, 32, 54, 8, 223, 18, 97, 244, 115, 94, 114, 178,
66, 198, 193, 209, 161, 56, 189, 97, 138, 189, 172, 7,
],
[
73, 30, 174, 174, 85, 131, 112, 210, 126, 211, 184, 128, 29, 229, 154, 14, 238, 77, 33,
219, 178, 24, 163, 22, 187, 213, 72, 13, 97, 249, 53, 35,
],
[
194, 188, 159, 242, 52, 203, 166, 37, 70, 147, 45, 10, 253, 195, 93, 160, 97, 99, 166,
192, 248, 92, 6, 73, 85, 223, 58, 113, 183, 44, 39, 24,
],
[
194, 181, 84, 60, 45, 220, 54, 229, 21, 95, 31, 114, 26, 125, 202, 172, 39, 215, 50,
55, 67, 247, 154, 124, 28, 205, 103, 132, 150, 24, 115, 7,
],
[
58, 18, 125, 164, 3, 135, 144, 38, 72, 55, 238, 146, 28, 64, 157, 12, 194, 159, 47,
147, 152, 202, 216, 171, 147, 169, 147, 158, 15, 210, 190, 40,
],
[
17, 195, 245, 108, 190, 67, 179, 94, 90, 53, 44, 36, 195, 149, 189, 61, 45, 129, 211,
47, 82, 12, 48, 12, 239, 162, 216, 173, 129, 242, 89, 41,
],
],
[
[
87, 63, 207, 4, 57, 122, 127, 205, 17, 114, 67, 49, 57, 125, 176, 23, 124, 186, 31, 23,
240, 37, 248, 255, 196, 215, 78, 156, 76, 11, 208, 11,
],
[
198, 119, 167, 135, 159, 121, 168, 1, 179, 169, 15, 36, 219, 227, 120, 22, 57, 156,
149, 193, 81, 160, 60, 172, 173, 107, 136, 2, 207, 75, 109, 0,
],
[
147, 190, 194, 154, 209, 165, 211, 180, 54, 99, 243, 144, 148, 239, 140, 181, 45, 138,
133, 128, 39, 218, 159, 246, 111, 140, 48, 146, 24, 179, 55, 30,
],
[
163, 218, 69, 41, 175, 237, 150, 201, 166, 234, 156, 55, 5, 169, 73, 51, 248, 20, 47,
40, 18, 54, 245, 235, 23, 99, 169, 52, 95, 112, 90, 41,
],
[
111, 154, 122, 13, 187, 181, 205, 140, 152, 97, 152, 244, 166, 102, 113, 80, 215, 209,
114, 78, 159, 55, 132, 147, 138, 70, 3, 99, 86, 96, 240, 43,
],
[
244, 247, 239, 143, 87, 37, 51, 146, 36, 1, 168, 235, 223, 145, 44, 138, 215, 83, 247,
146, 205, 128, 244, 70, 39, 193, 87, 202, 180, 14, 22, 48,
],
[
214, 99, 131, 88, 28, 66, 84, 178, 111, 245, 18, 26, 116, 39, 160, 226, 138, 120, 140,
162, 102, 240, 180, 96, 55, 0, 160, 136, 163, 92, 123, 12,
],
[
180, 185, 68, 236, 220, 8, 73, 25, 32, 188, 243, 53, 80, 7, 122, 72, 114, 205, 148,
232, 148, 125, 144, 253, 16, 191, 120, 5, 110, 160, 179, 4,
],
],
[
[
215, 36, 133, 246, 146, 247, 247, 148, 226, 94, 231, 75, 215, 107, 94, 114, 33, 123,
159, 150, 147, 196, 251, 228, 202, 91, 248, 52, 181, 225, 3, 12,
],
[
151, 217, 103, 127, 100, 72, 73, 217, 249, 232, 233, 179, 164, 101, 133, 105, 70, 186,
220, 239, 179, 151, 224, 24, 166, 8, 77, 37, 104, 146, 35, 8,
],
[
236, 156, 172, 137, 14, 45, 196, 85, 119, 4, 3, 132, 17, 254, 213, 253, 82, 236, 229,
61, 129, 51, 56, 44, 145, 202, 139, 85, 193, 218, 144, 49,
],
[
84, 3, 20, 83, 134, 163, 190, 186, 93, 102, 59, 195, 164, 237, 231, 68, 181, 194, 48,
66, 161, 190, 118, 16, 255, 5, 182, 100, 50, 129, 103, 35,
],
[
174, 23, 251, 144, 221, 20, 104, 213, 183, 219, 143, 177, 241, 88, 90, 160, 82, 237,
109, 168, 6, 241, 168, 159, 172, 32, 71, 95, 195, 34, 17, 40,
],
[
201, 152, 156, 13, 83, 24, 2, 213, 237, 49, 196, 157, 27, 13, 179, 251, 252, 54, 214,
118, 248, 220, 194, 210, 106, 126, 60, 148, 62, 216, 181, 42,
],
[
13, 123, 103, 146, 116, 115, 226, 70, 243, 30, 134, 205, 127, 136, 233, 193, 46, 136,
185, 99, 224, 56, 117, 170, 127, 41, 79, 144, 143, 66, 178, 54,
],
[
106, 68, 95, 199, 8, 128, 1, 227, 77, 41, 100, 89, 12, 106, 31, 249, 50, 31, 179, 199,
97, 200, 187, 138, 173, 68, 55, 220, 204, 113, 185, 17,
],
],
[
[
69, 139, 165, 232, 189, 151, 135, 228, 146, 203, 4, 199, 79, 88, 205, 208, 219, 227,
134, 54, 21, 219, 234, 102, 79, 40, 154, 105, 27, 90, 75, 54,
],
[
106, 255, 138, 45, 182, 156, 63, 135, 105, 239, 114, 52, 216, 133, 125, 168, 94, 216,
27, 167, 135, 95, 103, 111, 114, 247, 194, 132, 111, 90, 246, 48,
],
[
194, 9, 225, 228, 74, 52, 98, 220, 90, 99, 240, 151, 235, 87, 61, 11, 72, 37, 144, 202,
67, 171, 76, 97, 148, 76, 131, 111, 128, 79, 83, 26,
],
[
101, 226, 33, 108, 207, 233, 24, 201, 236, 245, 69, 101, 214, 18, 21, 16, 193, 128,
124, 109, 38, 27, 197, 241, 67, 19, 82, 53, 4, 248, 223, 13,
],
[
198, 98, 126, 137, 89, 45, 3, 147, 114, 128, 182, 243, 147, 132, 201, 109, 58, 39, 166,
193, 81, 8, 209, 235, 10, 108, 253, 67, 151, 135, 161, 30,
],
[
119, 53, 78, 105, 73, 215, 248, 66, 16, 213, 74, 178, 30, 136, 181, 111, 193, 70, 85,
19, 183, 100, 90, 56, 178, 95, 217, 97, 223, 243, 11, 52,
],
[
11, 121, 245, 230, 235, 125, 64, 10, 52, 221, 159, 37, 113, 169, 8, 44, 95, 145, 89,
93, 160, 190, 68, 235, 48, 159, 108, 13, 41, 197, 147, 51,
],
[
189, 245, 38, 171, 5, 217, 150, 237, 129, 197, 196, 176, 83, 68, 183, 90, 243, 92, 121,
113, 83, 130, 251, 91, 115, 197, 4, 59, 35, 255, 56, 39,
],
],
[
[
250, 115, 123, 108, 134, 106, 234, 116, 143, 122, 119, 128, 48, 173, 72, 120, 37, 103,
242, 160, 140, 207, 135, 191, 7, 13, 97, 18, 161, 131, 6, 2,
],
[
236, 123, 232, 92, 251, 155, 53, 38, 1, 189, 120, 44, 155, 102, 233, 118, 75, 140, 244,
133, 61, 215, 248, 63, 84, 66, 43, 167, 68, 91, 80, 20,
],
[
103, 218, 138, 213, 206, 237, 104, 38, 243, 214, 154, 113, 158, 50, 252, 11, 142, 32,
87, 99, 211, 75, 60, 169, 53, 209, 7, 76, 78, 225, 215, 46,
],
[
194, 226, 180, 141, 202, 156, 21, 38, 187, 135, 186, 116, 99, 202, 19, 181, 81, 234, 7,
108, 23, 13, 38, 68, 196, 172, 225, 178, 152, 58, 83, 7,
],
[
160, 134, 246, 154, 234, 171, 190, 13, 94, 84, 40, 86, 32, 145, 212, 199, 66, 176, 119,
189, 174, 251, 168, 28, 205, 119, 7, 250, 253, 231, 138, 39,
],
[
134, 77, 107, 31, 55, 174, 187, 91, 199, 170, 82, 87, 159, 255, 112, 212, 32, 53, 61,
0, 17, 237, 216, 205, 247, 143, 120, 131, 2, 204, 154, 60,
],
[
201, 181, 59, 200, 44, 104, 196, 246, 253, 204, 123, 20, 169, 127, 230, 157, 145, 197,
218, 90, 99, 224, 11, 221, 2, 72, 99, 53, 193, 146, 156, 47,
],
[
41, 245, 146, 251, 215, 173, 135, 54, 143, 105, 8, 15, 38, 154, 64, 148, 54, 118, 107,
148, 197, 91, 216, 16, 224, 57, 25, 131, 187, 219, 186, 27,
],
],
[
[
221, 254, 116, 99, 181, 55, 18, 178, 66, 57, 174, 12, 24, 26, 136, 35, 149, 84, 253,
62, 207, 82, 150, 156, 131, 17, 13, 156, 174, 72, 179, 29,
],
[
210, 46, 48, 176, 52, 56, 63, 149, 44, 238, 40, 236, 155, 80, 243, 29, 111, 36, 240,
29, 67, 187, 45, 146, 116, 237, 205, 52, 176, 254, 75, 17,
],
[
35, 250, 61, 135, 124, 240, 188, 158, 248, 141, 147, 223, 240, 184, 92, 228, 49, 49,
72, 46, 108, 235, 136, 230, 93, 215, 199, 242, 178, 43, 47, 7,
],
[
27, 112, 31, 19, 47, 93, 177, 182, 109, 126, 14, 233, 59, 218, 60, 87, 133, 223, 62,
136, 167, 36, 184, 169, 221, 172, 74, 199, 168, 126, 247, 45,
],
[
80, 135, 205, 38, 126, 77, 134, 91, 95, 2, 64, 226, 227, 181, 167, 114, 56, 63, 119,
60, 209, 210, 203, 55, 79, 59, 78, 6, 222, 71, 207, 7,
],
[
113, 129, 202, 15, 125, 102, 224, 36, 204, 5, 170, 228, 146, 244, 105, 149, 99, 250,
57, 123, 198, 56, 145, 25, 6, 30, 112, 221, 201, 228, 136, 37,
],
[
225, 128, 150, 104, 49, 57, 121, 187, 66, 93, 43, 114, 206, 64, 81, 11, 22, 40, 30,
152, 2, 85, 134, 241, 144, 41, 217, 215, 240, 196, 178, 28,
],
[
46, 50, 121, 120, 185, 246, 24, 62, 72, 218, 18, 73, 186, 112, 101, 125, 62, 187, 9,
87, 184, 138, 229, 211, 213, 196, 116, 71, 119, 146, 214, 30,
],
],
[
[
213, 25, 243, 89, 153, 12, 106, 58, 2, 63, 93, 221, 49, 252, 84, 150, 204, 15, 253,
151, 32, 140, 131, 150, 37, 245, 125, 223, 136, 115, 26, 17,
],
[
167, 41, 163, 182, 251, 78, 242, 173, 178, 104, 236, 137, 143, 17, 73, 129, 241, 171,
222, 153, 144, 64, 170, 21, 95, 62, 172, 107, 30, 237, 51, 12,
],
[
206, 103, 30, 156, 70, 3, 208, 135, 21, 109, 32, 63, 76, 96, 112, 150, 219, 199, 141,
194, 110, 229, 101, 4, 11, 185, 50, 63, 80, 240, 133, 44,
],
[
174, 29, 247, 44, 246, 20, 223, 133, 6, 122, 102, 210, 91, 66, 105, 178, 55, 227, 112,
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],
[
83, 183, 38, 131, 224, 55, 36, 131, 250, 50, 98, 62, 53, 31, 186, 3, 59, 193, 44, 178,
167, 60, 7, 31, 17, 197, 225, 87, 77, 201, 175, 50,
],
[
166, 65, 53, 61, 2, 156, 230, 20, 187, 218, 252, 134, 254, 199, 189, 164, 61, 159, 23,
37, 253, 230, 212, 38, 189, 174, 98, 199, 120, 113, 184, 46,
],
[
38, 212, 175, 135, 83, 126, 242, 192, 211, 177, 211, 133, 235, 210, 36, 196, 46, 174,
42, 9, 38, 72, 180, 212, 25, 76, 60, 244, 160, 252, 226, 52,
],
[
9, 186, 189, 28, 93, 244, 73, 59, 139, 98, 224, 159, 137, 187, 244, 145, 248, 78, 122,
176, 76, 77, 126, 35, 71, 70, 152, 33, 154, 40, 47, 8,
],
],
[
[
94, 74, 53, 248, 123, 40, 164, 191, 101, 131, 134, 77, 92, 11, 113, 23, 119, 101, 67,
184, 14, 138, 91, 152, 10, 50, 206, 226, 114, 50, 153, 38,
],
[
70, 24, 160, 108, 135, 70, 121, 130, 110, 115, 249, 98, 163, 92, 182, 121, 140, 170,
43, 109, 119, 200, 93, 198, 144, 155, 40, 165, 116, 110, 83, 59,
],
[
13, 111, 207, 211, 162, 206, 0, 87, 64, 221, 186, 206, 200, 25, 249, 40, 163, 157, 217,
108, 151, 40, 35, 149, 112, 144, 3, 223, 7, 239, 84, 27,
],
[
123, 7, 143, 59, 246, 209, 168, 75, 236, 100, 37, 50, 57, 242, 6, 74, 175, 206, 53,
213, 100, 11, 124, 103, 34, 250, 34, 134, 171, 72, 96, 26,
],
[
60, 211, 255, 163, 224, 254, 242, 177, 84, 221, 102, 62, 71, 95, 142, 146, 101, 6, 167,
153, 65, 139, 49, 248, 206, 27, 116, 138, 191, 104, 173, 61,
],
[
117, 248, 184, 111, 92, 89, 176, 208, 186, 103, 174, 104, 91, 39, 254, 211, 76, 235,
186, 171, 140, 209, 163, 40, 128, 223, 238, 208, 174, 221, 7, 32,
],
[
15, 175, 163, 23, 221, 182, 136, 48, 98, 253, 118, 47, 232, 19, 69, 81, 113, 107, 230,
69, 64, 87, 123, 226, 59, 240, 192, 34, 182, 24, 75, 54,
],
[
200, 246, 135, 47, 106, 173, 187, 66, 101, 71, 151, 84, 100, 193, 113, 156, 71, 60,
224, 247, 238, 27, 214, 105, 25, 8, 215, 175, 211, 72, 152, 50,
],
],
[
[
11, 177, 54, 174, 134, 45, 96, 29, 9, 32, 202, 41, 30, 87, 38, 235, 103, 175, 59, 65,
34, 62, 230, 27, 51, 229, 143, 20, 250, 88, 49, 13,
],
[
87, 251, 224, 97, 90, 123, 60, 173, 91, 250, 215, 196, 210, 111, 58, 198, 29, 127, 17,
192, 116, 130, 106, 223, 111, 179, 160, 19, 165, 77, 156, 35,
],
[
228, 124, 114, 35, 183, 22, 90, 239, 18, 23, 66, 210, 98, 54, 229, 152, 173, 58, 197,
212, 179, 59, 46, 118, 71, 8, 205, 134, 221, 142, 49, 36,
],
[
97, 172, 167, 10, 48, 141, 55, 10, 206, 107, 10, 234, 141, 228, 243, 71, 219, 231, 255,
127, 65, 87, 122, 172, 51, 255, 202, 73, 57, 233, 54, 56,
],
[
218, 201, 81, 10, 208, 235, 255, 195, 207, 199, 247, 55, 152, 186, 219, 173, 46, 254,
116, 54, 25, 159, 121, 178, 6, 197, 64, 24, 165, 163, 254, 27,
],
[
199, 51, 104, 153, 21, 83, 213, 132, 151, 210, 221, 160, 191, 61, 32, 39, 116, 202,
190, 68, 168, 8, 206, 34, 76, 101, 91, 56, 234, 195, 177, 36,
],
[
200, 156, 175, 110, 211, 162, 86, 81, 86, 181, 99, 37, 39, 70, 77, 2, 181, 145, 157,
169, 145, 213, 47, 162, 60, 26, 123, 27, 69, 95, 111, 43,
],
[
30, 40, 191, 205, 195, 141, 30, 180, 227, 90, 168, 109, 254, 194, 197, 47, 47, 158,
151, 92, 119, 93, 22, 48, 71, 132, 50, 156, 11, 56, 60, 24,
],
],
[
[
97, 236, 10, 82, 54, 165, 11, 222, 119, 226, 142, 250, 85, 73, 71, 5, 130, 185, 152,
10, 38, 191, 159, 228, 39, 47, 7, 123, 206, 29, 63, 38,
],
[
63, 93, 78, 222, 254, 85, 222, 188, 119, 75, 202, 250, 75, 37, 247, 183, 250, 248, 44,
137, 207, 242, 186, 236, 175, 255, 203, 108, 22, 25, 86, 3,
],
[
66, 175, 216, 225, 118, 129, 106, 102, 143, 170, 241, 201, 21, 1, 14, 89, 249, 49, 143,
24, 17, 12, 166, 116, 29, 109, 134, 183, 99, 174, 81, 37,
],
[
197, 95, 177, 171, 196, 1, 233, 30, 98, 64, 186, 21, 34, 102, 54, 128, 110, 217, 3, 49,
99, 164, 192, 114, 104, 45, 7, 144, 94, 62, 16, 61,
],
[
98, 86, 153, 20, 228, 157, 201, 70, 53, 155, 58, 84, 87, 140, 55, 16, 52, 29, 87, 106,
98, 147, 35, 71, 160, 18, 82, 216, 95, 244, 124, 45,
],
[
242, 37, 85, 138, 93, 10, 117, 237, 63, 244, 73, 17, 187, 70, 150, 137, 148, 180, 139,
39, 229, 169, 1, 46, 243, 136, 170, 65, 51, 64, 34, 8,
],
[
106, 96, 176, 162, 206, 47, 28, 119, 20, 102, 105, 144, 240, 117, 54, 120, 21, 220, 87,
50, 191, 53, 87, 35, 135, 229, 145, 33, 96, 101, 129, 38,
],
[
166, 50, 224, 123, 255, 237, 250, 219, 171, 90, 189, 230, 77, 15, 184, 248, 42, 245,
240, 71, 209, 160, 244, 146, 72, 164, 139, 171, 242, 118, 62, 26,
],
],
[
[
176, 240, 195, 230, 203, 40, 73, 83, 30, 77, 37, 58, 215, 19, 113, 147, 218, 57, 68,
214, 129, 183, 139, 254, 131, 136, 216, 77, 185, 153, 140, 12,
],
[
174, 253, 75, 3, 63, 87, 254, 53, 165, 243, 14, 41, 65, 7, 178, 91, 20, 111, 153, 155,
23, 89, 87, 37, 105, 23, 204, 147, 189, 113, 94, 2,
],
[
218, 122, 7, 174, 69, 151, 16, 100, 230, 16, 187, 104, 238, 221, 124, 137, 157, 148,
222, 48, 86, 3, 71, 115, 64, 244, 81, 206, 205, 128, 41, 38,
],
[
105, 132, 64, 84, 221, 69, 102, 124, 171, 223, 164, 67, 156, 97, 234, 192, 157, 110,
215, 207, 127, 75, 159, 90, 243, 153, 13, 168, 51, 78, 121, 21,
],
[
124, 100, 211, 110, 134, 174, 177, 107, 84, 71, 156, 178, 27, 156, 130, 141, 190, 112,
114, 107, 8, 10, 227, 230, 169, 165, 46, 162, 126, 47, 219, 21,
],
[
174, 109, 63, 1, 208, 183, 47, 213, 241, 116, 48, 79, 112, 250, 39, 77, 205, 232, 183,
125, 65, 147, 180, 37, 118, 143, 209, 157, 0, 165, 131, 35,
],
[
171, 239, 114, 71, 235, 47, 49, 6, 184, 165, 133, 4, 30, 222, 236, 244, 145, 233, 148,
50, 228, 226, 223, 139, 224, 213, 38, 123, 117, 85, 230, 42,
],
[
153, 172, 236, 117, 32, 68, 60, 120, 241, 40, 227, 98, 64, 137, 114, 1, 21, 216, 57,
244, 116, 137, 172, 13, 181, 160, 230, 67, 60, 188, 218, 58,
],
],
];
pub fn generator() -> pallas::Affine {
pallas::Affine::from_xy(
pallas::Base::from_repr(GENERATOR.0).unwrap(),
pallas::Base::from_repr(GENERATOR.1).unwrap(),
)
.unwrap()
}
#[cfg(test)]
mod tests {
use super::super::{COMMIT_IVK_PERSONALIZATION, NUM_WINDOWS};
use super::*;
use group::Curve;
use halo2_gadgets::{
ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us},
sinsemilla::primitives::CommitDomain,
};
use pasta_curves::{arithmetic::CurveAffine, pallas};
#[test]
fn generator() {
let domain = CommitDomain::new(COMMIT_IVK_PERSONALIZATION);
let point = domain.R();
let coords = point.to_affine().coordinates().unwrap();
assert_eq!(*coords.x(), pallas::Base::from_repr(GENERATOR.0).unwrap());
assert_eq!(*coords.y(), pallas::Base::from_repr(GENERATOR.1).unwrap());
}
#[test]
fn lagrange_coeffs() {
let base = super::generator();
test_lagrange_coeffs(base, NUM_WINDOWS);
}
#[test]
fn z() {
let base = super::generator();
test_zs_and_us(base, &Z, &U, NUM_WINDOWS);
}
}
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