Trait IsPrimeField

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pub trait IsPrimeField: IsField {
    type RepresentativeType: IsUnsignedInteger;

    // Required methods
    fn representative(a: &Self::BaseType) -> Self::RepresentativeType;
    fn from_hex(hex_string: &str) -> Result<Self::BaseType, CreationError>;
    fn to_hex(a: &Self::BaseType) -> String;
    fn field_bit_size() -> usize;

    // Provided methods
    fn modulus_minus_one() -> Self::RepresentativeType { ... }
    fn legendre_symbol(a: &Self::BaseType) -> LegendreSymbol { ... }
    fn sqrt(a: &Self::BaseType) -> Option<(Self::BaseType, Self::BaseType)> { ... }
}

Required Associated Types§

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type RepresentativeType: IsUnsignedInteger

Required Methods§

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fn representative(a: &Self::BaseType) -> Self::RepresentativeType

Returns the integer representative in the range [0, p-1], where p the modulus

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fn from_hex(hex_string: &str) -> Result<Self::BaseType, CreationError>

Creates a BaseType from a Hex String 0x is optional Returns an CreationError::InvalidHexStringif the value is not a hexstring

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fn to_hex(a: &Self::BaseType) -> String

Creates a hexstring from a FieldElement without 0x.

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fn field_bit_size() -> usize

Returns the number of bits of the max element of the field, as per field documentation, not internal representation. This is log2(max FE) rounded up