pub struct Field { /* private fields */ }
Expand description

Field element for secp256k1.

Implementations§

Normalize a field element.

Weakly normalize a field element: reduce it magnitude to 1, but don’t fully normalize.

Normalize a field element, without constant-time guarantee.

Verify whether a field element represents zero i.e. would normalize to a zero value. The field implementation may optionally normalize the input, but this should not be relied upon.

Verify whether a field element represents zero i.e. would normalize to a zero value. The field implementation may optionally normalize the input, but this should not be relied upon.

Set a field element equal to a small integer. Resulting field element is normalized.

Verify whether a field element is zero. Requires the input to be normalized.

Check the “oddness” of a field element. Requires the input to be normalized.

Sets a field element equal to zero, initializing all fields.

Set a field element equal to 32-byte big endian value. If successful, the resulting field element is normalized.

Convert a field element to a 32-byte big endian value. Requires the input to be normalized.

Set a field element equal to the additive inverse of another. Takes a maximum magnitude of the input as an argument. The magnitude of the output is one higher.

Compute the additive inverse of this element. Takes the maximum expected magnitude of this element as an argument.

Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that small integer.

Compare two field elements. Requires both inputs to be normalized.

Sets a field element to be the product of two others. Requires the inputs’ magnitudes to be at most 8. The output magnitude is 1 (but not guaranteed to be normalized).

Sets a field element to be the square of another. Requires the input’s magnitude to be at most 8. The output magnitude is 1 (but not guaranteed to be normalized).

If a has a square root, it is computed in r and 1 is returned. If a does not have a square root, the root of its negation is computed and 0 is returned. The input’s magnitude can be at most 8. The output magnitude is 1 (but not guaranteed to be normalized). The result in r will always be a square itself.

Sets a field element to be the (modular) inverse of another. Requires the input’s magnitude to be at most 8. The output magnitude is 1 (but not guaranteed to be normalized).

Potentially faster version of secp256k1_fe_inv, without constant-time guarantee.

Checks whether a field element is a quadratic residue.

If flag is true, set *r equal to *a; otherwise leave it. Constant-time.

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
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
Formats the value using the given formatter. Read more
Returns the “default value” for a type. Read more
Converts to this type from the input type.
Converts this type into the (usually inferred) 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
Performs the *= operation. Read more
Performs the *= operation. Read more
This method returns an Ordering between self and other. Read more
Compares and returns the maximum of two values. Read more
Compares and returns the minimum of two values. Read more
Restrict a value to a certain interval. Read more
This method tests for self and other values to be equal, and is used by ==. Read more
This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more
This method returns an ordering between self and other values if one exists. Read more
This method tests less than (for self and other) and is used by the < operator. Read more
This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
This method tests greater than (for self and other) and is used by the > operator. Read more
This method tests greater than or equal to (for self and other) and is used by the >= operator. 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

Returns the argument unchanged.

Calls U::from(self).

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

Should always be Self
The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. 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.