struct Scalar [src]

A scalar in unpacked representation.

Fields

fe: Fe

Members

add (Function)
dbl (Function)
equivalent (Function)
fromBytes (Function)
fromBytes64 (Function)
invert (Function)
isOdd (Function)
isSquare (Function)
isZero (Function)
mul (Function)
neg (Function)
one (Constant)
pow (Function)
random (Function)
sq (Function)
sqrt (Function)
sub (Function)
toBytes (Function)
zero (Constant)

Source

  pub const Scalar = struct {
    fe: Fe,

    /// Zero.
    pub const zero = Scalar{ .fe = Fe.zero };

    /// One.
    pub const one = Scalar{ .fe = Fe.one };

    /// Unpack a serialized representation of a scalar.
    pub fn fromBytes(s: CompressedScalar, endian: std.builtin.Endian) NonCanonicalError!Scalar {
        return Scalar{ .fe = try Fe.fromBytes(s, endian) };
    }

    /// Reduce a 512 bit input to the field size.
    pub fn fromBytes64(s: [64]u8, endian: std.builtin.Endian) Scalar {
        const t = ScalarDouble.fromBytes(512, s, endian);
        return t.reduce(512);
    }

    /// Pack a scalar into bytes.
    pub fn toBytes(n: Scalar, endian: std.builtin.Endian) CompressedScalar {
        return n.fe.toBytes(endian);
    }

    /// Return true if the scalar is zero..
    pub fn isZero(n: Scalar) bool {
        return n.fe.isZero();
    }

    /// Return true if the scalar is odd.
    pub fn isOdd(n: Scalar) bool {
        return n.fe.isOdd();
    }

    /// Return true if a and b are equivalent.
    pub fn equivalent(a: Scalar, b: Scalar) bool {
        return a.fe.equivalent(b.fe);
    }

    /// Compute x+y (mod L)
    pub fn add(x: Scalar, y: Scalar) Scalar {
        return Scalar{ .fe = x.fe.add(y.fe) };
    }

    /// Compute x-y (mod L)
    pub fn sub(x: Scalar, y: Scalar) Scalar {
        return Scalar{ .fe = x.fe.sub(y.fe) };
    }

    /// Compute 2n (mod L)
    pub fn dbl(n: Scalar) Scalar {
        return Scalar{ .fe = n.fe.dbl() };
    }

    /// Compute x*y (mod L)
    pub fn mul(x: Scalar, y: Scalar) Scalar {
        return Scalar{ .fe = x.fe.mul(y.fe) };
    }

    /// Compute x^2 (mod L)
    pub fn sq(n: Scalar) Scalar {
        return Scalar{ .fe = n.fe.sq() };
    }

    /// Compute x^n (mod L)
    pub fn pow(a: Scalar, comptime T: type, comptime n: T) Scalar {
        return Scalar{ .fe = a.fe.pow(n) };
    }

    /// Compute -x (mod L)
    pub fn neg(n: Scalar) Scalar {
        return Scalar{ .fe = n.fe.neg() };
    }

    /// Compute x^-1 (mod L)
    pub fn invert(n: Scalar) Scalar {
        return Scalar{ .fe = n.fe.invert() };
    }

    /// Return true if n is a quadratic residue mod L.
    pub fn isSquare(n: Scalar) bool {
        return n.fe.isSquare();
    }

    /// Return the square root of L, or NotSquare if there isn't any solutions.
    pub fn sqrt(n: Scalar) NotSquareError!Scalar {
        return Scalar{ .fe = try n.fe.sqrt() };
    }

    /// Return a random scalar < L.
    pub fn random() Scalar {
        var s: [64]u8 = undefined;
        while (true) {
            crypto.random.bytes(&s);
            const n = Scalar.fromBytes64(s, .little);
            if (!n.isZero()) {
                return n;
            }
        }
    }
}  