Trait Numeric

pub trait Numeric:
    ModNumeric
    + Add<Self, Output = Self>
    + Sub<Self, Output = Self>
    + Mul<Self, Output = Self>
    + BitXor<Self, Output = Self>
    + BitOr<Self, Output = Self>
    + BitAnd<Self, Output = Self>
    + Shl<usize, Output = Self>
    + Shr<usize, Output = Self>
    + Not<Output = Self>
    + Default
    + Clone
    + Debug {
    // Required methods
    fn max_val() -> Self;
    fn wrap_add(self, rhs: Self) -> Self;
    fn wrap_sub(self, rhs: Self) -> Self;
    fn wrap_mul(self, rhs: Self) -> Self;
    fn wrap_div(self, rhs: Self) -> Self;
    fn exp(self, exp: u32) -> Self;
    fn pow_self(self, exp: Self) -> Self;
    fn divide(self, rhs: Self) -> Self;
    fn inv(self, n: Self) -> Self;
    fn equal(self, other: Self) -> bool;
    fn greater_than(self, other: Self) -> bool;
    fn greater_than_or_equal(self, other: Self) -> bool;
    fn less_than(self, other: Self) -> bool;
    fn less_than_or_equal(self, other: Self) -> bool;
    fn not_equal_bm(self, other: Self) -> Self;
    fn equal_bm(self, other: Self) -> Self;
    fn greater_than_bm(self, other: Self) -> Self;
    fn greater_than_or_equal_bm(self, other: Self) -> Self;
    fn less_than_bm(self, other: Self) -> Self;
    fn less_than_or_equal_bm(self, other: Self) -> Self;
}

The Numeric trait has to be implemented by all numeric objects.

Required Methods

fn max_val() -> Self

Return largest value that can be represented.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, exp: Self) -> Self

self ^ exp where exp is a Self.

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types

impl Numeric for i8

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for i16

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for i32

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for i64

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for i128

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for u8

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for u16

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for u32

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for u64

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

impl Numeric for u128

fn max_val() -> Self

Return largest value that can be represented.

fn exp(self, exp: u32) -> Self

self ^ exp where exp is a u32.

fn pow_self(self, _exp: Self) -> Self

self ^ exp where exp is a Self. XXX: Not implemented for public machine integers

fn divide(self, rhs: Self) -> Self

Division.

fn inv(self, n: Self) -> Self

Invert self modulo n.

fn wrap_add(self, rhs: Self) -> Self

fn wrap_sub(self, rhs: Self) -> Self

fn wrap_mul(self, rhs: Self) -> Self

fn wrap_div(self, rhs: Self) -> Self

fn equal(self, other: Self) -> bool

fn greater_than(self, other: Self) -> bool

fn greater_than_or_equal(self, other: Self) -> bool

fn less_than(self, other: Self) -> bool

fn less_than_or_equal(self, other: Self) -> bool

fn not_equal_bm(self, other: Self) -> Self

fn equal_bm(self, other: Self) -> Self

fn greater_than_bm(self, other: Self) -> Self

fn greater_than_or_equal_bm(self, other: Self) -> Self

fn less_than_bm(self, other: Self) -> Self

fn less_than_or_equal_bm(self, other: Self) -> Self

Implementors

impl Numeric for BigInt

impl Numeric for I8

impl Numeric for I16

impl Numeric for I32

impl Numeric for I64

impl Numeric for I128

impl Numeric for U8

impl Numeric for U16

impl Numeric for U16Word

impl Numeric for U32

impl Numeric for U32Word

impl Numeric for U64

impl Numeric for U64Word

impl Numeric for U128

impl Numeric for U128Word

impl Numeric for u16Word

impl Numeric for u32Word

impl Numeric for u64Word

impl Numeric for u128Word

impl<T: Numeric + PublicInteger + Copy> Numeric for PublicSeq<T>

impl<T: Numeric + SecretInteger + Copy> Numeric for Seq<T>