Struct jubjub::Fq

source · []
pub struct Fq(_);
Expand description

Represents an element of the scalar field $\mathbb{F}_q$ of the BLS12-381 elliptic curve construction.

Implementations

Returns zero, the additive identity.

Returns one, the multiplicative identity.

Doubles this field element.

Attempts to convert a little-endian byte representation of a scalar into a Scalar, failing if the input is not canonical.

Converts an element of Scalar into a byte representation in little-endian byte order.

Converts a 512-bit little endian integer into a Scalar by reducing by the modulus.

Converts from an integer represented in little endian into its (congruent) Scalar representation.

Squares this element.

Computes the square root of this element, if it exists.

Exponentiates self by by, where by is a little-endian order integer exponent.

Exponentiates self by by, where by is a little-endian order integer exponent.

This operation is variable time with respect to the exponent. If the exponent is fixed, this operation is effectively constant time.

Computes the multiplicative inverse of this element, failing if the element is zero.

Multiplies rhs by self, returning the result.

Subtracts rhs from self, returning the result.

Adds rhs to self, returning the result.

Negates self.

Trait Implementations

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Returns a copy of the value. Read more

Performs copy-assignment from source. Read more

Select a or b according to choice. Read more

Conditionally assign other to self, according to choice. Read more

Conditionally swap self and other if choice == 1; otherwise, reassign both unto themselves. Read more

Determine if two items are equal. Read more

Formats the value using the given formatter. Read more

Returns the “default value” for a type. Read more

Formats the value using the given formatter. Read more

Returns an element chosen uniformly at random using a user-provided RNG.

Returns the zero element of the field, the additive identity.

Returns the one element of the field, the multiplicative identity.

Squares this element.

Doubles this element.

Computes the multiplicative inverse of this element, failing if the element is zero. Read more

Returns the square root of the field element, if it is quadratic residue. Read more

Returns true iff this element is zero.

Returns true iff this element is zero. Read more

Cubes this element.

Exponentiates self by exp, where exp is a little-endian order integer exponent. Read more

Converts to this type from the input type.

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=.

The prime field can be converted back and forth into this binary representation. Read more

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus). Read more

Converts an element of the prime field into the standard byte representation for this field. Read more

Returns true iff this element is odd.

How many bits are needed to represent an element of this field.

How many bits of information can be reliably stored in the field element. Read more

Returns a fixed multiplicative generator of modulus - 1 order. This element must also be a quadratic nonresidue. Read more

An integer s satisfying the equation 2^s * t = modulus - 1 with t odd. Read more

Returns the 2^s root of unity. Read more

Interpret a string of numbers as a (congruent) prime field element. Does not accept unnecessary leading zeroes or a blank string. Read more

Attempts to convert a byte representation of a field element into an element of this prime field, failing if the input is not canonical (is not smaller than the field’s modulus). Read more

Returns true iff this element is even.

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more

Immutably borrows from an owned value. Read more

Mutably borrows from an owned value. Read more

Negate self if choice == Choice(1); otherwise, leave it unchanged. Read more

Converts self into T using Into<T>. Read more

Causes self to use its Binary implementation when Debug-formatted. Read more

Causes self to use its Display implementation when Debug-formatted. Read more

Causes self to use its LowerExp implementation when Debug-formatted. Read more

Causes self to use its LowerHex implementation when Debug-formatted. Read more

Causes self to use its Octal implementation when Debug-formatted. Read more

Causes self to use its Pointer implementation when Debug-formatted. Read more

Causes self to use its UpperExp implementation when Debug-formatted. Read more

Causes self to use its UpperHex implementation when Debug-formatted. Read more

Formats each item in a sequence. Read more

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Pipes by value. This is generally the method you want to use. Read more

Borrows self and passes that borrow into the pipe function. Read more

Mutably borrows self and passes that borrow into the pipe function. Read more

Borrows self, then passes self.borrow() into the pipe function. Read more

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

Borrows self, then passes self.as_ref() into the pipe function.

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

Borrows self, then passes self.deref() into the pipe function.

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

Immutable access to a value. Read more

Mutable access to a value. Read more

Immutable access to the Borrow<B> of a value. Read more

Mutable access to the BorrowMut<B> of a value. Read more

Immutable access to the AsRef<R> view of a value. Read more

Mutable access to the AsMut<R> view of a value. Read more

Immutable access to the Deref::Target of a value. Read more

Mutable access to the Deref::Target of a value. Read more

Calls .tap() only in debug builds, and is erased in release builds.

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

The resulting type after obtaining ownership.

Creates owned data from borrowed data, usually by cloning. Read more

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

Converts the given value to a String. Read more

Attempts to convert self into T using TryInto<T>. Read more

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.