orchard/src/constants/fixed_bases/value_commit_r.rs

use group::ff::PrimeField;
use pasta_curves::{arithmetic::CurveAffine, pallas};

/// The value commitment is a homomorphic Pedersen commitment used to check balance between inputs
/// and outputs. This is its randomness base, $\mathcal{R}^{\mathsf{Orchard}}$.
pub const GENERATOR: ([u8; 32], [u8; 32]) = (
    [
        145, 90, 60, 136, 104, 198, 195, 14, 47, 128, 144, 238, 69, 215, 110, 64, 72, 32, 141, 234,
        91, 35, 102, 79, 187, 9, 164, 15, 85, 68, 244, 7,
    ],
    [
        202, 217, 114, 167, 200, 70, 47, 14, 70, 129, 146, 243, 241, 41, 146, 39, 194, 183, 111,
        228, 201, 44, 86, 33, 140, 98, 38, 175, 119, 103, 19, 36,
    ],
);

/// 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] = [
    181916, 22148, 340526, 80718, 104958, 86894, 43381, 1060, 82130, 4741, 55897, 4304, 114469,
    20503, 25001, 62408, 52978, 35893, 72071, 154369, 67304, 7299, 27960, 42929, 51869, 89967,
    62210, 59433, 47868, 32536, 105000, 1546, 2116, 18717, 50694, 22864, 254428, 54966, 108762,
    46706, 65730, 45555, 7376, 50051, 24773, 74636, 44806, 23223, 78561, 50668, 7380, 13697,
    171970, 269484, 25534, 5098, 79584, 6889, 21432, 73095, 36745, 37350, 6274, 5179, 50216, 12007,
    44029, 88199, 70401, 14120, 19017, 2423, 26494, 34954, 126293, 167379, 136922, 45619, 30331,
    22632, 163228, 12997, 4461, 32320, 13430,
];

/// 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] = [
    [
        [
            139, 239, 3, 113, 200, 111, 72, 118, 105, 23, 186, 243, 234, 10, 173, 186, 53, 143,
            244, 250, 24, 189, 161, 158, 43, 13, 143, 252, 82, 104, 150, 55,
        ],
        [
            102, 10, 45, 173, 93, 142, 120, 21, 105, 140, 183, 3, 198, 201, 198, 184, 15, 206, 177,
            131, 9, 25, 103, 232, 162, 26, 45, 202, 9, 125, 93, 49,
        ],
        [
            7, 184, 84, 133, 195, 104, 173, 245, 198, 202, 50, 197, 58, 26, 187, 116, 72, 224, 153,
            67, 200, 174, 32, 60, 195, 80, 152, 192, 131, 168, 208, 13,
        ],
        [
            62, 23, 97, 17, 76, 95, 147, 158, 244, 165, 111, 203, 162, 25, 80, 235, 63, 80, 45, 12,
            254, 236, 154, 135, 211, 75, 44, 122, 125, 197, 9, 41,
        ],
        [
            99, 80, 223, 192, 185, 128, 95, 248, 127, 225, 142, 107, 179, 40, 8, 112, 59, 60, 81,
            89, 87, 153, 126, 140, 190, 187, 139, 9, 24, 21, 104, 5,
        ],
        [
            39, 201, 225, 147, 38, 14, 83, 216, 168, 53, 60, 41, 194, 52, 37, 141, 20, 20, 10, 242,
            173, 169, 194, 72, 182, 95, 173, 186, 229, 115, 178, 37,
        ],
        [
            234, 29, 76, 124, 112, 42, 82, 57, 181, 205, 61, 90, 58, 224, 227, 21, 83, 58, 30, 216,
            161, 10, 104, 83, 34, 113, 192, 146, 141, 215, 219, 44,
        ],
        [
            218, 183, 114, 168, 64, 166, 144, 113, 219, 75, 64, 32, 252, 13, 10, 111, 244, 194, 79,
            70, 7, 209, 129, 66, 232, 180, 217, 248, 61, 191, 59, 51,
        ],
    ],
    [
        [
            96, 67, 69, 38, 122, 193, 223, 87, 223, 138, 202, 119, 235, 141, 70, 229, 166, 135,
            208, 39, 220, 143, 203, 102, 106, 99, 115, 39, 8, 60, 31, 30,
        ],
        [
            207, 136, 59, 50, 178, 209, 184, 137, 238, 170, 63, 147, 102, 56, 194, 30, 152, 87,
            165, 250, 203, 71, 154, 64, 41, 216, 239, 143, 9, 94, 33, 52,
        ],
        [
            158, 74, 177, 224, 26, 70, 115, 103, 211, 95, 237, 92, 72, 210, 216, 225, 165, 20, 251,
            241, 200, 140, 178, 182, 154, 65, 105, 144, 85, 65, 240, 46,
        ],
        [
            11, 99, 19, 189, 201, 13, 110, 245, 240, 219, 4, 55, 24, 81, 54, 2, 82, 54, 171, 29,
            203, 99, 234, 64, 175, 154, 87, 112, 249, 29, 20, 30,
        ],
        [
            213, 177, 148, 202, 251, 114, 75, 8, 198, 148, 44, 102, 185, 120, 226, 222, 251, 65,
            206, 38, 99, 180, 62, 13, 221, 122, 206, 148, 10, 212, 234, 4,
        ],
        [
            191, 60, 118, 185, 153, 148, 200, 78, 50, 10, 66, 97, 26, 79, 240, 136, 20, 115, 39,
            240, 166, 237, 87, 98, 223, 84, 197, 151, 230, 139, 235, 7,
        ],
        [
            170, 86, 142, 224, 231, 59, 184, 35, 237, 52, 13, 72, 108, 156, 227, 229, 214, 103,
            175, 139, 231, 148, 146, 51, 195, 157, 221, 189, 122, 27, 227, 37,
        ],
        [
            88, 29, 201, 124, 227, 97, 36, 193, 215, 180, 137, 50, 249, 137, 10, 118, 67, 200, 35,
            42, 181, 217, 213, 146, 210, 159, 47, 194, 165, 101, 241, 20,
        ],
    ],
    [
        [
            147, 4, 192, 237, 120, 223, 231, 71, 128, 237, 0, 110, 243, 11, 132, 152, 102, 150,
            212, 251, 145, 56, 21, 247, 78, 232, 88, 204, 26, 139, 75, 1,
        ],
        [
            242, 104, 68, 11, 78, 77, 207, 142, 185, 45, 95, 183, 81, 22, 8, 125, 247, 66, 152, 59,
            191, 118, 51, 215, 85, 0, 51, 170, 147, 239, 110, 17,
        ],
        [
            148, 204, 16, 59, 17, 174, 121, 72, 218, 232, 205, 215, 128, 255, 187, 112, 141, 188,
            30, 2, 176, 122, 78, 158, 147, 150, 228, 25, 253, 68, 254, 43,
        ],
        [
            30, 207, 11, 138, 80, 55, 51, 156, 139, 83, 138, 33, 115, 159, 197, 188, 79, 31, 104,
            111, 62, 80, 183, 143, 105, 189, 238, 79, 147, 212, 156, 11,
        ],
        [
            162, 59, 128, 0, 14, 229, 58, 101, 219, 135, 2, 93, 2, 254, 14, 43, 143, 219, 76, 121,
            233, 148, 54, 51, 227, 115, 38, 253, 95, 103, 191, 21,
        ],
        [
            117, 191, 41, 120, 209, 97, 234, 18, 169, 17, 7, 120, 210, 68, 139, 185, 133, 131, 43,
            106, 10, 107, 18, 21, 57, 8, 190, 228, 149, 37, 158, 51,
        ],
        [
            31, 174, 69, 213, 168, 110, 159, 179, 18, 94, 76, 220, 112, 128, 252, 184, 236, 100,
            185, 238, 191, 51, 204, 100, 107, 218, 101, 96, 106, 166, 70, 6,
        ],
        [
            123, 139, 4, 10, 146, 168, 123, 135, 46, 115, 8, 11, 195, 106, 68, 214, 136, 168, 177,
            1, 184, 13, 51, 185, 184, 187, 68, 26, 157, 183, 41, 62,
        ],
    ],
    [
        [
            153, 31, 98, 227, 163, 137, 0, 129, 133, 57, 178, 132, 239, 46, 204, 124, 73, 65, 29,
            216, 30, 37, 56, 132, 241, 220, 62, 78, 187, 62, 240, 45,
        ],
        [
            125, 116, 131, 117, 46, 193, 254, 93, 79, 76, 177, 57, 31, 200, 120, 132, 186, 53, 66,
            220, 163, 178, 5, 230, 188, 212, 210, 25, 188, 103, 93, 44,
        ],
        [
            49, 162, 67, 249, 87, 145, 89, 247, 245, 104, 208, 165, 219, 100, 16, 187, 142, 200,
            66, 47, 38, 77, 245, 3, 108, 74, 62, 106, 50, 208, 84, 52,
        ],
        [
            201, 221, 108, 129, 170, 111, 64, 73, 140, 255, 129, 243, 252, 87, 129, 226, 170, 210,
            141, 213, 121, 212, 34, 184, 139, 157, 198, 98, 40, 50, 160, 59,
        ],
        [
            238, 218, 145, 5, 148, 79, 125, 6, 93, 100, 166, 138, 241, 213, 11, 178, 96, 251, 113,
            138, 47, 97, 33, 222, 224, 129, 174, 130, 217, 164, 140, 29,
        ],
        [
            212, 178, 199, 211, 213, 183, 6, 187, 140, 241, 90, 125, 180, 76, 46, 158, 109, 136,
            103, 168, 66, 53, 177, 127, 32, 212, 197, 52, 144, 147, 136, 45,
        ],
        [
            103, 249, 188, 165, 128, 120, 137, 119, 158, 154, 30, 17, 38, 169, 19, 33, 53, 148, 37,
            218, 95, 85, 148, 115, 41, 250, 150, 226, 101, 212, 163, 30,
        ],
        [
            230, 249, 111, 35, 125, 100, 99, 9, 198, 41, 46, 115, 83, 8, 31, 196, 164, 188, 94, 8,
            109, 175, 164, 169, 64, 5, 78, 121, 162, 246, 59, 53,
        ],
    ],
    [
        [
            64, 172, 254, 150, 194, 0, 229, 126, 227, 156, 144, 238, 66, 221, 251, 17, 212, 189,
            75, 173, 183, 141, 105, 90, 211, 214, 215, 190, 220, 218, 32, 2,
        ],
        [
            250, 142, 28, 190, 160, 225, 213, 205, 14, 211, 102, 52, 153, 255, 151, 209, 225, 2,
            33, 25, 213, 238, 238, 198, 18, 154, 228, 241, 241, 54, 157, 60,
        ],
        [
            75, 214, 166, 211, 115, 128, 32, 28, 77, 81, 147, 56, 39, 155, 109, 112, 10, 160, 98,
            103, 72, 95, 27, 59, 207, 229, 174, 25, 4, 251, 92, 60,
        ],
        [
            34, 113, 137, 237, 47, 68, 116, 169, 227, 218, 209, 74, 23, 162, 182, 147, 221, 151,
            145, 79, 131, 95, 193, 132, 143, 130, 130, 227, 245, 198, 206, 27,
        ],
        [
            127, 167, 50, 210, 223, 36, 251, 32, 21, 244, 240, 170, 220, 7, 86, 197, 230, 237, 222,
            25, 156, 33, 93, 227, 95, 118, 148, 123, 226, 170, 189, 62,
        ],
        [
            172, 190, 180, 238, 11, 198, 98, 110, 7, 7, 137, 152, 215, 206, 40, 220, 218, 85, 9,
            52, 172, 74, 5, 214, 152, 191, 17, 48, 100, 173, 54, 26,
        ],
        [
            247, 12, 146, 226, 110, 132, 132, 139, 243, 207, 204, 228, 47, 186, 231, 240, 231, 176,
            133, 36, 206, 22, 119, 135, 22, 145, 197, 100, 20, 199, 15, 58,
        ],
        [
            175, 19, 90, 7, 34, 58, 172, 219, 22, 67, 115, 16, 50, 51, 173, 31, 133, 161, 1, 229,
            178, 133, 102, 152, 55, 78, 45, 110, 75, 239, 234, 38,
        ],
    ],
    [
        [
            145, 188, 217, 28, 211, 109, 158, 69, 114, 242, 67, 177, 86, 231, 235, 110, 226, 248,
            92, 192, 231, 217, 250, 30, 54, 110, 42, 17, 4, 123, 63, 41,
        ],
        [
            239, 149, 56, 141, 40, 202, 6, 176, 150, 138, 225, 8, 95, 21, 41, 149, 135, 163, 132,
            41, 2, 43, 139, 171, 27, 196, 102, 64, 33, 218, 153, 59,
        ],
        [
            203, 34, 210, 53, 46, 172, 48, 78, 145, 63, 217, 49, 77, 236, 1, 154, 200, 72, 24, 2,
            222, 189, 166, 166, 132, 245, 177, 199, 89, 54, 126, 25,
        ],
        [
            86, 6, 180, 69, 62, 170, 243, 248, 240, 30, 241, 155, 22, 79, 11, 110, 178, 64, 195,
            62, 30, 75, 182, 14, 113, 220, 96, 15, 168, 107, 37, 60,
        ],
        [
            119, 113, 192, 238, 13, 95, 60, 229, 22, 93, 102, 163, 170, 144, 188, 6, 194, 160, 69,
            116, 94, 199, 26, 192, 249, 116, 128, 72, 184, 45, 162, 35,
        ],
        [
            94, 223, 14, 35, 38, 97, 179, 224, 57, 126, 170, 251, 91, 103, 84, 23, 224, 151, 106,
            199, 236, 106, 163, 141, 58, 175, 81, 80, 40, 214, 201, 59,
        ],
        [
            132, 112, 204, 9, 226, 55, 185, 75, 231, 21, 48, 249, 198, 110, 57, 82, 123, 164, 91,
            16, 85, 246, 121, 57, 4, 132, 38, 133, 2, 196, 123, 63,
        ],
        [
            10, 232, 165, 228, 159, 111, 77, 10, 124, 168, 59, 111, 134, 139, 175, 115, 181, 41,
            195, 207, 122, 3, 181, 1, 233, 171, 144, 20, 209, 170, 250, 28,
        ],
    ],
    [
        [
            31, 220, 178, 109, 251, 49, 176, 112, 11, 205, 236, 79, 93, 93, 209, 18, 54, 37, 19,
            194, 83, 223, 91, 242, 233, 83, 141, 144, 135, 244, 105, 56,
        ],
        [
            81, 231, 94, 170, 107, 127, 203, 163, 10, 183, 25, 198, 4, 61, 67, 154, 163, 90, 74, 9,
            200, 29, 145, 141, 166, 123, 62, 13, 104, 194, 93, 50,
        ],
        [
            172, 180, 2, 27, 47, 80, 235, 164, 224, 160, 254, 247, 147, 236, 137, 122, 237, 65, 98,
            174, 224, 209, 61, 144, 152, 43, 50, 80, 206, 128, 29, 7,
        ],
        [
            96, 37, 53, 71, 220, 216, 77, 204, 62, 14, 73, 192, 136, 118, 209, 107, 116, 89, 247,
            117, 41, 254, 157, 253, 146, 83, 61, 134, 172, 217, 167, 61,
        ],
        [
            104, 117, 19, 237, 94, 120, 199, 136, 125, 131, 228, 144, 28, 10, 148, 119, 106, 17,
            250, 90, 94, 194, 167, 240, 113, 247, 183, 253, 160, 184, 27, 9,
        ],
        [
            192, 24, 53, 127, 235, 143, 177, 125, 190, 143, 56, 228, 130, 68, 241, 104, 203, 233,
            225, 7, 148, 95, 154, 210, 22, 127, 67, 100, 19, 0, 18, 49,
        ],
        [
            236, 129, 24, 57, 236, 189, 67, 7, 7, 189, 46, 125, 107, 150, 52, 83, 225, 198, 101,
            47, 123, 198, 8, 88, 198, 83, 121, 40, 186, 113, 242, 42,
        ],
        [
            120, 71, 188, 215, 73, 12, 233, 32, 183, 162, 175, 38, 132, 27, 32, 249, 176, 102, 92,
            123, 174, 249, 228, 134, 124, 231, 187, 191, 240, 9, 236, 25,
        ],
    ],
    [
        [
            44, 238, 221, 171, 60, 205, 205, 235, 28, 12, 166, 250, 253, 81, 171, 208, 182, 24, 91,
            210, 129, 225, 102, 183, 208, 189, 114, 152, 151, 157, 226, 51,
        ],
        [
            103, 138, 231, 149, 85, 124, 78, 82, 40, 17, 231, 154, 156, 3, 30, 222, 245, 52, 94,
            21, 104, 35, 253, 234, 63, 93, 118, 157, 170, 22, 250, 37,
        ],
        [
            40, 91, 164, 160, 164, 242, 12, 226, 36, 210, 221, 128, 70, 87, 209, 36, 35, 189, 44,
            85, 110, 100, 212, 166, 132, 244, 106, 243, 103, 75, 243, 20,
        ],
        [
            159, 108, 152, 218, 145, 14, 59, 25, 174, 120, 118, 20, 221, 214, 134, 127, 8, 84, 14,
            151, 206, 249, 43, 127, 219, 205, 103, 185, 160, 23, 8, 55,
        ],
        [
            248, 129, 230, 218, 151, 177, 113, 167, 115, 89, 111, 199, 44, 100, 229, 186, 76, 136,
            78, 174, 14, 239, 223, 152, 0, 35, 134, 159, 69, 198, 100, 37,
        ],
        [
            86, 62, 241, 104, 218, 62, 10, 203, 109, 39, 47, 242, 110, 34, 17, 62, 188, 251, 109,
            224, 224, 49, 232, 249, 158, 44, 131, 184, 232, 169, 151, 11,
        ],
        [
            230, 160, 217, 171, 53, 116, 55, 143, 30, 111, 3, 92, 203, 224, 216, 180, 33, 218, 240,
            25, 183, 233, 55, 238, 165, 146, 168, 141, 40, 92, 37, 22,
        ],
        [
            209, 112, 179, 95, 105, 7, 163, 138, 141, 97, 118, 174, 120, 237, 72, 230, 79, 172, 90,
            219, 26, 192, 38, 228, 122, 28, 72, 80, 235, 193, 127, 34,
        ],
    ],
    [
        [
            254, 28, 193, 110, 41, 72, 172, 152, 87, 109, 233, 222, 140, 147, 159, 124, 148, 182,
            94, 179, 206, 34, 33, 50, 172, 30, 12, 199, 87, 72, 165, 41,
        ],
        [
            245, 173, 241, 93, 248, 176, 51, 64, 144, 104, 208, 216, 16, 206, 94, 152, 167, 89,
            137, 196, 246, 240, 87, 167, 171, 104, 27, 116, 108, 217, 22, 9,
        ],
        [
            132, 156, 222, 191, 17, 62, 197, 49, 34, 216, 214, 33, 47, 82, 224, 216, 170, 239, 241,
            126, 234, 212, 199, 91, 138, 110, 27, 128, 117, 50, 242, 32,
        ],
        [
            64, 5, 181, 26, 70, 28, 184, 194, 87, 116, 43, 93, 67, 92, 174, 29, 11, 79, 243, 240,
            11, 121, 157, 62, 58, 33, 181, 90, 211, 131, 7, 8,
        ],
        [
            230, 49, 144, 6, 195, 18, 172, 214, 238, 213, 186, 116, 144, 69, 231, 252, 84, 102, 91,
            94, 200, 169, 229, 178, 99, 245, 15, 119, 190, 194, 95, 54,
        ],
        [
            41, 252, 108, 140, 207, 174, 78, 195, 183, 186, 125, 24, 131, 106, 216, 108, 184, 153,
            249, 79, 94, 210, 124, 195, 115, 224, 63, 192, 184, 83, 30, 26,
        ],
        [
            208, 125, 51, 179, 127, 202, 37, 211, 44, 72, 27, 164, 254, 137, 58, 148, 0, 63, 41,
            234, 1, 158, 72, 25, 169, 132, 1, 189, 215, 2, 64, 14,
        ],
        [
            46, 111, 37, 127, 176, 137, 50, 89, 246, 138, 208, 203, 106, 195, 157, 231, 240, 144,
            240, 225, 64, 198, 233, 167, 127, 40, 231, 104, 82, 155, 45, 18,
        ],
    ],
    [
        [
            25, 54, 51, 222, 26, 219, 162, 250, 134, 244, 11, 167, 206, 151, 28, 254, 63, 143, 163,
            169, 151, 94, 5, 207, 253, 137, 198, 25, 88, 102, 129, 24,
        ],
        [
            173, 42, 240, 164, 55, 124, 163, 247, 2, 94, 188, 244, 114, 36, 131, 79, 243, 126, 25,
            60, 70, 209, 150, 121, 9, 44, 80, 224, 183, 131, 133, 40,
        ],
        [
            246, 58, 162, 49, 244, 161, 222, 142, 77, 187, 24, 76, 41, 16, 76, 147, 43, 143, 173,
            142, 112, 194, 31, 105, 27, 195, 126, 227, 23, 231, 208, 8,
        ],
        [
            35, 200, 84, 68, 62, 127, 102, 254, 54, 172, 151, 193, 222, 181, 190, 204, 95, 57, 33,
            225, 15, 79, 237, 101, 28, 239, 186, 29, 41, 69, 98, 21,
        ],
        [
            100, 64, 24, 112, 156, 153, 245, 233, 166, 182, 114, 120, 185, 207, 43, 155, 145, 73,
            64, 215, 81, 169, 35, 240, 69, 116, 5, 34, 240, 79, 105, 1,
        ],
        [
            226, 59, 11, 185, 102, 13, 42, 109, 44, 163, 130, 161, 218, 147, 189, 18, 60, 61, 123,
            242, 172, 208, 131, 138, 118, 95, 21, 111, 46, 74, 82, 1,
        ],
        [
            217, 244, 22, 128, 132, 230, 210, 181, 187, 251, 65, 195, 81, 129, 222, 206, 97, 14,
            178, 243, 19, 113, 209, 11, 142, 86, 248, 246, 229, 152, 162, 17,
        ],
        [
            59, 102, 139, 93, 161, 101, 23, 36, 218, 70, 246, 128, 98, 147, 174, 207, 84, 139, 39,
            67, 227, 7, 130, 64, 37, 22, 194, 218, 191, 43, 34, 45,
        ],
    ],
    [
        [
            243, 215, 252, 180, 108, 191, 218, 211, 153, 49, 144, 152, 90, 95, 76, 233, 106, 222,
            156, 245, 61, 172, 45, 242, 58, 167, 202, 227, 245, 236, 247, 20,
        ],
        [
            2, 213, 207, 34, 65, 186, 12, 228, 150, 46, 40, 66, 72, 196, 244, 151, 80, 62, 116,
            141, 36, 52, 180, 11, 184, 13, 175, 50, 172, 66, 85, 29,
        ],
        [
            185, 172, 242, 99, 188, 15, 56, 93, 53, 83, 208, 174, 10, 71, 76, 36, 98, 173, 159, 81,
            53, 129, 157, 220, 61, 93, 12, 123, 21, 2, 123, 46,
        ],
        [
            195, 200, 168, 165, 148, 30, 154, 31, 130, 39, 105, 199, 45, 122, 208, 75, 43, 40, 223,
            149, 143, 209, 121, 207, 176, 192, 237, 254, 133, 131, 212, 14,
        ],
        [
            243, 120, 106, 116, 193, 82, 61, 254, 19, 211, 26, 13, 30, 197, 160, 76, 142, 143, 228,
            54, 49, 114, 253, 198, 190, 58, 118, 175, 105, 244, 57, 1,
        ],
        [
            187, 65, 118, 89, 48, 103, 234, 64, 137, 212, 20, 130, 63, 41, 167, 40, 204, 105, 151,
            188, 106, 116, 212, 8, 33, 220, 86, 126, 174, 117, 241, 11,
        ],
        [
            23, 36, 152, 55, 25, 64, 51, 241, 153, 94, 53, 240, 244, 26, 191, 249, 76, 47, 167, 53,
            103, 179, 87, 200, 85, 57, 187, 73, 87, 186, 71, 5,
        ],
        [
            3, 245, 6, 142, 151, 192, 17, 62, 8, 136, 223, 178, 122, 228, 234, 192, 18, 12, 162,
            186, 249, 173, 183, 20, 190, 238, 56, 35, 142, 237, 243, 2,
        ],
    ],
    [
        [
            214, 249, 38, 19, 194, 4, 20, 205, 62, 197, 25, 3, 103, 4, 128, 12, 222, 100, 14, 15,
            9, 188, 229, 54, 182, 46, 18, 0, 53, 137, 27, 32,
        ],
        [
            1, 248, 42, 1, 186, 186, 208, 3, 200, 86, 156, 177, 16, 214, 197, 100, 46, 136, 45,
            186, 221, 12, 30, 122, 141, 141, 242, 37, 9, 23, 50, 31,
        ],
        [
            30, 193, 71, 240, 123, 34, 96, 160, 159, 81, 65, 89, 85, 224, 39, 182, 188, 43, 148, 4,
            178, 136, 230, 179, 120, 157, 237, 153, 144, 203, 166, 18,
        ],
        [
            23, 153, 154, 149, 96, 81, 58, 206, 78, 42, 131, 36, 180, 230, 152, 240, 188, 196, 75,
            191, 187, 191, 201, 29, 248, 169, 1, 249, 194, 90, 146, 13,
        ],
        [
            172, 165, 50, 18, 118, 97, 254, 130, 3, 56, 196, 176, 230, 203, 95, 140, 114, 140, 53,
            45, 184, 55, 58, 243, 32, 82, 182, 61, 121, 144, 156, 59,
        ],
        [
            117, 176, 227, 84, 115, 78, 150, 191, 31, 133, 143, 105, 89, 128, 249, 146, 113, 16,
            24, 46, 121, 132, 4, 240, 59, 5, 228, 223, 10, 28, 17, 45,
        ],
        [
            90, 222, 163, 229, 143, 243, 155, 195, 207, 44, 38, 111, 136, 71, 10, 65, 141, 20, 56,
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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    [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
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        [
            247, 84, 154, 37, 49, 122, 163, 113, 225, 52, 106, 231, 138, 127, 51, 135, 176, 76,
            175, 217, 247, 243, 84, 86, 27, 91, 136, 106, 29, 19, 70, 32,
        ],
        [
            183, 140, 119, 40, 234, 18, 150, 188, 245, 145, 29, 134, 108, 239, 3, 75, 85, 135, 174,
            215, 248, 64, 240, 135, 80, 107, 134, 242, 237, 181, 254, 34,
        ],
        [
            157, 21, 160, 26, 117, 32, 17, 245, 64, 238, 132, 120, 163, 148, 190, 127, 55, 73, 224,
            219, 166, 32, 236, 26, 161, 153, 206, 37, 218, 158, 115, 50,
        ],
        [
            102, 128, 174, 242, 77, 163, 172, 154, 138, 244, 102, 17, 122, 197, 231, 16, 67, 251,
            112, 69, 234, 176, 66, 247, 133, 177, 21, 204, 174, 237, 4, 49,
        ],
        [
            239, 96, 167, 25, 10, 118, 236, 57, 32, 103, 160, 19, 209, 187, 230, 224, 85, 134, 110,
            238, 216, 152, 208, 109, 0, 188, 254, 240, 93, 53, 109, 23,
        ],
        [
            108, 28, 154, 95, 92, 197, 178, 24, 211, 70, 120, 40, 247, 84, 168, 186, 7, 171, 75,
            120, 151, 200, 22, 59, 21, 170, 251, 131, 56, 235, 175, 30,
        ],
        [
            167, 85, 243, 125, 181, 241, 122, 202, 14, 50, 200, 228, 168, 106, 9, 243, 21, 134,
            155, 179, 123, 98, 111, 203, 96, 238, 117, 102, 244, 82, 32, 3,
        ],
    ],
    [
        [
            81, 194, 89, 56, 62, 155, 254, 27, 234, 67, 235, 139, 206, 253, 178, 220, 111, 228,
            143, 76, 232, 237, 223, 210, 227, 76, 234, 83, 158, 41, 165, 30,
        ],
        [
            231, 16, 196, 172, 106, 248, 216, 179, 18, 11, 178, 169, 44, 149, 81, 254, 108, 74,
            207, 135, 95, 26, 32, 80, 180, 103, 196, 109, 126, 18, 241, 26,
        ],
        [
            25, 140, 4, 125, 204, 220, 57, 121, 155, 173, 62, 202, 248, 55, 151, 70, 91, 173, 109,
            160, 23, 245, 116, 228, 68, 199, 22, 29, 170, 0, 10, 36,
        ],
        [
            170, 226, 29, 101, 137, 91, 118, 169, 27, 250, 42, 0, 135, 49, 146, 159, 97, 105, 241,
            55, 67, 34, 72, 162, 122, 167, 18, 120, 202, 9, 82, 39,
        ],
        [
            130, 23, 40, 251, 34, 205, 36, 24, 34, 193, 84, 226, 32, 35, 205, 182, 98, 64, 218, 99,
            223, 29, 193, 200, 187, 51, 94, 127, 85, 136, 106, 63,
        ],
        [
            20, 174, 125, 99, 207, 8, 50, 43, 203, 1, 165, 193, 43, 225, 16, 254, 207, 164, 119,
            162, 140, 94, 66, 208, 113, 7, 89, 200, 55, 53, 169, 24,
        ],
        [
            114, 146, 145, 183, 20, 171, 214, 161, 11, 200, 195, 62, 124, 57, 225, 210, 37, 202,
            108, 255, 246, 167, 197, 3, 205, 66, 206, 131, 22, 60, 71, 51,
        ],
        [
            96, 247, 39, 97, 175, 212, 113, 61, 218, 136, 61, 57, 34, 15, 242, 54, 133, 211, 151,
            28, 183, 159, 134, 188, 192, 104, 174, 54, 236, 231, 26, 5,
        ],
    ],
    [
        [
            159, 212, 195, 141, 31, 242, 46, 244, 34, 181, 77, 152, 114, 59, 111, 27, 127, 224,
            253, 146, 51, 221, 241, 189, 211, 26, 127, 150, 115, 126, 255, 8,
        ],
        [
            166, 51, 28, 89, 18, 65, 151, 110, 54, 47, 186, 87, 146, 233, 13, 36, 99, 46, 194, 38,
            248, 235, 17, 179, 225, 64, 174, 192, 149, 76, 193, 57,
        ],
        [
            124, 227, 148, 2, 195, 251, 0, 91, 99, 91, 4, 61, 36, 61, 60, 185, 160, 8, 216, 162,
            255, 163, 156, 212, 189, 234, 160, 131, 80, 233, 69, 31,
        ],
        [
            228, 5, 75, 168, 81, 179, 20, 142, 53, 62, 19, 152, 211, 120, 178, 172, 214, 30, 69,
            85, 124, 165, 73, 139, 93, 24, 36, 46, 199, 96, 40, 30,
        ],
        [
            252, 20, 32, 26, 246, 30, 192, 50, 136, 144, 68, 182, 232, 174, 73, 4, 252, 168, 180,
            46, 189, 66, 59, 7, 189, 2, 72, 92, 118, 220, 240, 43,
        ],
        [
            61, 140, 148, 113, 74, 83, 138, 136, 151, 151, 156, 219, 38, 244, 28, 186, 62, 172, 40,
            239, 14, 13, 100, 187, 136, 215, 226, 156, 167, 53, 46, 22,
        ],
        [
            137, 240, 137, 254, 218, 224, 225, 48, 30, 129, 224, 75, 203, 160, 113, 2, 238, 6, 205,
            79, 230, 109, 24, 44, 5, 147, 43, 123, 120, 33, 176, 16,
        ],
        [
            252, 48, 156, 11, 223, 23, 120, 45, 236, 97, 109, 212, 138, 155, 248, 142, 17, 14, 185,
            199, 52, 218, 56, 244, 239, 186, 59, 155, 82, 48, 200, 39,
        ],
    ],
    [
        [
            5, 220, 5, 128, 148, 124, 206, 148, 180, 145, 11, 158, 188, 112, 206, 237, 160, 123,
            218, 124, 1, 54, 164, 128, 18, 95, 83, 183, 248, 29, 228, 12,
        ],
        [
            214, 168, 154, 183, 172, 78, 16, 52, 50, 33, 14, 96, 238, 44, 248, 23, 157, 35, 215,
            83, 221, 57, 161, 29, 193, 11, 161, 179, 229, 48, 198, 21,
        ],
        [
            133, 164, 224, 39, 107, 6, 45, 223, 31, 74, 95, 252, 109, 219, 126, 219, 154, 63, 190,
            71, 193, 16, 23, 146, 1, 24, 128, 52, 193, 130, 160, 23,
        ],
        [
            121, 231, 94, 211, 129, 23, 194, 169, 190, 169, 243, 221, 172, 104, 207, 254, 157, 174,
            139, 227, 208, 20, 188, 82, 82, 190, 139, 190, 72, 23, 205, 20,
        ],
        [
            91, 172, 54, 154, 40, 43, 90, 99, 254, 241, 239, 151, 148, 167, 189, 194, 248, 200, 56,
            103, 126, 85, 184, 208, 17, 168, 236, 248, 153, 208, 179, 31,
        ],
        [
            205, 123, 215, 56, 96, 17, 215, 28, 168, 216, 148, 55, 15, 133, 60, 195, 164, 134, 17,
            234, 32, 36, 207, 201, 14, 112, 211, 78, 203, 7, 230, 52,
        ],
        [
            93, 248, 248, 21, 87, 109, 35, 58, 212, 50, 248, 161, 115, 63, 189, 191, 135, 115, 223,
            208, 78, 213, 39, 118, 91, 211, 131, 192, 33, 234, 149, 37,
        ],
        [
            35, 215, 54, 145, 79, 225, 122, 226, 127, 245, 11, 190, 251, 200, 1, 47, 80, 179, 224,
            211, 121, 180, 217, 47, 108, 41, 65, 53, 77, 93, 205, 47,
        ],
    ],
    [
        [
            121, 229, 227, 180, 214, 66, 64, 75, 82, 108, 25, 2, 216, 161, 23, 42, 45, 75, 106,
            187, 162, 63, 32, 6, 45, 189, 38, 184, 218, 18, 6, 43,
        ],
        [
            65, 81, 179, 34, 92, 125, 223, 47, 254, 226, 115, 185, 128, 172, 68, 24, 9, 184, 57,
            129, 234, 174, 232, 12, 171, 145, 73, 72, 18, 195, 42, 11,
        ],
        [
            14, 28, 16, 216, 210, 137, 236, 100, 226, 55, 225, 147, 154, 252, 211, 181, 106, 243,
            161, 79, 247, 183, 91, 55, 111, 18, 181, 172, 154, 5, 151, 53,
        ],
        [
            59, 222, 201, 101, 150, 48, 2, 24, 246, 2, 107, 177, 44, 141, 54, 27, 244, 1, 91, 52,
            200, 187, 171, 156, 135, 208, 249, 222, 154, 42, 16, 33,
        ],
        [
            104, 150, 234, 215, 26, 74, 45, 216, 243, 25, 122, 153, 44, 247, 128, 15, 164, 80, 95,
            105, 74, 164, 174, 150, 221, 180, 164, 117, 94, 121, 184, 21,
        ],
        [
            244, 3, 63, 14, 247, 139, 139, 24, 56, 152, 122, 211, 220, 149, 32, 72, 173, 50, 233,
            95, 192, 61, 115, 222, 6, 198, 23, 145, 220, 92, 168, 14,
        ],
        [
            123, 105, 48, 25, 179, 136, 51, 189, 62, 161, 38, 50, 41, 89, 206, 31, 92, 164, 227,
            29, 69, 233, 226, 53, 29, 17, 61, 221, 213, 199, 213, 36,
        ],
        [
            10, 180, 201, 130, 164, 6, 35, 113, 109, 164, 34, 227, 3, 202, 86, 70, 95, 236, 68, 10,
            198, 16, 204, 49, 49, 232, 145, 2, 205, 237, 135, 33,
        ],
    ],
    [
        [
            164, 61, 189, 226, 93, 173, 150, 18, 110, 21, 99, 125, 250, 45, 117, 50, 250, 157, 212,
            9, 169, 14, 232, 53, 168, 110, 221, 253, 98, 44, 184, 55,
        ],
        [
            10, 200, 231, 57, 40, 195, 109, 223, 230, 107, 35, 167, 70, 250, 255, 175, 106, 241,
            35, 163, 24, 65, 178, 218, 181, 40, 201, 150, 29, 181, 120, 1,
        ],
        [
            23, 147, 76, 178, 80, 155, 42, 165, 82, 142, 164, 81, 100, 180, 173, 9, 26, 9, 233, 6,
            67, 3, 203, 70, 213, 195, 1, 93, 123, 169, 4, 12,
        ],
        [
            15, 24, 204, 61, 20, 190, 93, 198, 16, 129, 215, 142, 41, 33, 219, 224, 34, 154, 94,
            234, 109, 21, 251, 232, 198, 62, 4, 235, 236, 16, 3, 45,
        ],
        [
            143, 177, 225, 157, 173, 54, 188, 123, 41, 91, 240, 220, 223, 81, 70, 194, 27, 147,
            141, 230, 175, 43, 25, 222, 7, 143, 81, 185, 252, 252, 13, 63,
        ],
        [
            2, 130, 165, 36, 212, 154, 222, 127, 66, 123, 167, 90, 242, 142, 84, 162, 154, 244, 10,
            228, 7, 110, 213, 182, 236, 30, 202, 0, 248, 20, 219, 31,
        ],
        [
            91, 141, 198, 216, 211, 179, 193, 160, 134, 90, 212, 128, 85, 185, 8, 213, 156, 178,
            84, 94, 33, 60, 104, 15, 76, 132, 101, 139, 16, 202, 39, 7,
        ],
        [
            40, 21, 104, 114, 55, 102, 78, 10, 8, 169, 121, 156, 143, 255, 176, 144, 216, 134, 19,
            27, 70, 151, 163, 149, 21, 220, 239, 65, 109, 137, 163, 36,
        ],
    ],
    [
        [
            177, 102, 25, 89, 51, 205, 218, 46, 239, 16, 165, 74, 131, 94, 82, 248, 57, 135, 156,
            160, 63, 57, 210, 21, 30, 42, 243, 39, 215, 37, 128, 28,
        ],
        [
            105, 52, 188, 198, 150, 99, 113, 232, 68, 219, 243, 180, 210, 216, 187, 179, 27, 118,
            63, 211, 239, 147, 39, 75, 243, 209, 136, 247, 151, 84, 146, 32,
        ],
        [
            114, 57, 148, 130, 175, 207, 73, 255, 149, 172, 194, 92, 217, 117, 177, 223, 52, 37,
            51, 57, 169, 149, 212, 248, 73, 221, 164, 0, 186, 245, 112, 23,
        ],
        [
            57, 72, 243, 117, 146, 120, 9, 114, 211, 234, 216, 19, 43, 149, 3, 198, 27, 4, 239, 93,
            46, 75, 219, 149, 112, 40, 54, 28, 48, 234, 66, 57,
        ],
        [
            67, 161, 31, 89, 164, 242, 224, 205, 207, 9, 154, 77, 198, 216, 166, 150, 167, 168, 60,
            83, 229, 54, 120, 248, 82, 105, 61, 130, 142, 46, 193, 18,
        ],
        [
            45, 128, 84, 140, 202, 147, 79, 95, 51, 250, 148, 114, 188, 145, 61, 29, 62, 132, 115,
            244, 102, 11, 0, 96, 85, 30, 86, 136, 195, 144, 247, 18,
        ],
        [
            7, 154, 159, 131, 116, 203, 12, 167, 60, 97, 53, 6, 77, 133, 249, 117, 25, 204, 243,
            118, 175, 154, 233, 70, 243, 130, 27, 127, 179, 205, 253, 15,
        ],
        [
            106, 108, 100, 123, 231, 100, 59, 207, 108, 100, 34, 155, 222, 229, 31, 255, 98, 181,
            171, 122, 9, 114, 3, 101, 255, 72, 161, 61, 8, 219, 123, 27,
        ],
    ],
    [
        [
            138, 91, 16, 195, 19, 101, 70, 243, 47, 48, 96, 34, 191, 184, 150, 226, 190, 100, 88,
            119, 234, 152, 160, 152, 104, 219, 29, 239, 19, 148, 9, 38,
        ],
        [
            246, 211, 73, 28, 125, 13, 63, 122, 5, 88, 167, 151, 179, 186, 84, 13, 111, 163, 102,
            113, 126, 241, 32, 50, 224, 13, 146, 15, 230, 150, 11, 52,
        ],
        [
            154, 150, 57, 187, 127, 246, 180, 239, 190, 165, 103, 233, 89, 183, 5, 175, 150, 93,
            87, 51, 167, 126, 178, 169, 66, 28, 9, 161, 218, 239, 123, 25,
        ],
        [
            185, 229, 244, 166, 244, 110, 77, 101, 167, 108, 163, 229, 108, 174, 226, 103, 89, 36,
            200, 164, 214, 148, 49, 212, 242, 197, 121, 167, 97, 157, 74, 17,
        ],
        [
            52, 58, 191, 122, 149, 177, 220, 26, 97, 103, 175, 44, 100, 111, 151, 136, 79, 54, 93,
            185, 65, 182, 102, 131, 165, 82, 46, 91, 114, 18, 91, 6,
        ],
        [
            107, 19, 80, 165, 166, 216, 121, 157, 215, 92, 135, 201, 246, 234, 30, 122, 36, 27,
            203, 88, 216, 113, 237, 199, 111, 120, 35, 119, 8, 205, 32, 46,
        ],
        [
            20, 119, 36, 113, 135, 162, 9, 149, 247, 211, 154, 128, 212, 137, 68, 212, 28, 87, 145,
            233, 53, 162, 167, 72, 114, 252, 255, 10, 110, 30, 117, 41,
        ],
        [
            69, 67, 187, 172, 32, 58, 82, 131, 180, 241, 128, 245, 245, 178, 215, 244, 40, 37, 49,
            66, 218, 99, 232, 17, 201, 214, 84, 241, 29, 215, 217, 16,
        ],
    ],
    [
        [
            8, 217, 27, 9, 205, 139, 87, 170, 175, 101, 13, 65, 42, 153, 124, 195, 221, 110, 147,
            106, 107, 50, 112, 113, 79, 85, 128, 96, 221, 122, 88, 37,
        ],
        [
            62, 174, 26, 84, 3, 154, 76, 218, 161, 234, 202, 236, 43, 222, 190, 214, 40, 177, 81,
            209, 138, 91, 117, 25, 45, 250, 233, 13, 223, 81, 61, 34,
        ],
        [
            112, 4, 242, 252, 45, 111, 178, 214, 78, 207, 68, 208, 81, 104, 157, 45, 160, 124, 213,
            193, 38, 80, 58, 205, 140, 9, 107, 41, 196, 141, 223, 40,
        ],
        [
            54, 79, 54, 153, 234, 76, 173, 78, 107, 19, 23, 164, 223, 21, 74, 147, 230, 20, 103,
            113, 131, 60, 33, 233, 200, 146, 23, 144, 189, 71, 94, 24,
        ],
        [
            113, 192, 128, 244, 20, 55, 236, 149, 20, 196, 221, 99, 71, 23, 208, 187, 92, 158, 5,
            73, 239, 163, 254, 39, 142, 161, 51, 180, 159, 209, 209, 12,
        ],
        [
            204, 251, 47, 230, 61, 123, 221, 149, 69, 100, 194, 77, 56, 250, 81, 132, 163, 128,
            181, 208, 116, 94, 151, 79, 31, 139, 66, 154, 91, 182, 52, 28,
        ],
        [
            83, 105, 243, 244, 101, 204, 108, 161, 15, 204, 51, 165, 200, 209, 129, 177, 30, 110,
            84, 4, 65, 203, 125, 221, 234, 8, 100, 183, 47, 52, 49, 25,
        ],
        [
            201, 43, 72, 102, 184, 137, 0, 15, 252, 35, 236, 135, 16, 241, 233, 164, 218, 184, 188,
            92, 174, 121, 33, 207, 166, 154, 39, 203, 16, 89, 89, 46,
        ],
    ],
];

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::{NUM_WINDOWS, VALUE_COMMITMENT_PERSONALIZATION};
    use super::*;
    use group::Curve;
    use halo2_gadgets::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us};
    use pasta_curves::{
        arithmetic::{CurveAffine, CurveExt},
        pallas,
    };

    #[test]
    fn generator() {
        let hasher = pallas::Point::hash_to_curve(VALUE_COMMITMENT_PERSONALIZATION);
        let point = hasher(b"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);
    }
}