use crate::bigint::*;

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// field prime (BN254 scalar field)

type Big = BigInt<8>;

pub const PRIME_EXT    : BigInt<9> = BigInt::make( [ 0xf0000001 , 0x43e1f593 , 0x79b97091 , 0x2833e848 , 0x8181585d , 0xb85045b6 , 0xe131a029 , 0x30644e72 , 0x00000000 ] );
pub const FIELD_PRIME  : Big       = BigInt::make( [ 0xf0000001 , 0x43e1f593 , 0x79b97091 , 0x2833e848 , 0x8181585d , 0xb85045b6 , 0xe131a029 , 0x30644e72 ] );
pub const PRIME_PLUS_1 : Big       = BigInt::make( [ 0xf0000002 , 0x43e1f593 , 0x79b97091 , 0x2833e848 , 0x8181585d , 0xb85045b6 , 0xe131a029 , 0x30644e72 ] );
pub const HALFP_PLUS_1 : Big       = BigInt::make( [ 0xf8000001 , 0xa1f0fac9 , 0x3cdcb848 , 0x9419f424 , 0x40c0ac2e , 0xdc2822db , 0x97098d01 , 0x01832273 ] ); 

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// montgomery constants

pub const MONT_Q : u32 = 0xefffffff;

// R^k = (2^256)^k mod P
pub const BIG_R1 : Big = BigInt::make( [ 0x4ffffffb , 0xac96341c , 0x9f60cd29 , 0x36fc7695 , 0x7879462e , 0x666ea36f , 0x9a07df2f , 0x0e0a77c1 ] );
pub const BIG_R2 : Big = BigInt::make( [ 0xae216da7 , 0x1bb8e645 , 0xe35c59e3 , 0x53fe3ab1 , 0x53bb8085 , 0x8c49833d , 0x7f4e44a5 , 0x0216d0b1 ] );
pub const BIG_R3 : Big = BigInt::make( [ 0xb4bf0040 , 0x5e94d8e1 , 0x1cfbb6b8 , 0x2a489cbe , 0xa19fcfed , 0x893cc664 , 0x7fcc657c , 0x0cf8594b ] );

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