Struct rug_maths::integer::Integer

pub struct Integer {
    pub val: Integer,
}

Fields

val: Integer

Trait Implementations

impl<'a> Add<&'a Integer> for Integer

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: &Integer) -> Self::Output

Performs the + operation.

impl<'a> Add<&'a Integer> for &'a Integer

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: &'a Integer) -> Self::Output

Performs the + operation.

impl<B> Add<B> for Integer where
    Integer: Add<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: B) -> Self::Output

Performs the + operation.

impl<'a, B> Add<B> for &'a Integer where
    Integer: Add<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: B) -> Self::Output

Performs the + operation.

impl Add<Integer> for Integer

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: Integer) -> Self::Output

Performs the + operation.

impl<'a> Add<Integer> for &'a Integer

type Output = Integer

The resulting type after applying the + operator.

fn add(self, rhs: Integer) -> Self::Output

Performs the + operation.

impl<'a> AddAssign<&'a Integer> for Integer

fn add_assign(&mut self, rhs: &Integer)

Performs the += operation.

impl<B> AddAssign<B> for Integer where
    Integer: AddAssign<B>, 

fn add_assign(&mut self, rhs: B)

Performs the += operation.

impl AddAssign<Integer> for Integer

fn add_assign(&mut self, rhs: Integer)

Performs the += operation.

impl AddAssociative for Integer

impl AddCommutative for Integer

impl AddOrdered for Integer

impl ArchimedeanProperty for Integer

impl Clone for Integer

fn clone(&self) -> Integer

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Integer

fn fmt(&self, f: &mut Formatter) -> Result

Formats the value using the given formatter.

impl Display for Integer

fn fmt(&self, f: &mut Formatter) -> FmtResult

Formats the value using the given formatter.

impl Distributive<Integer> for Integer

impl<'a> Div<&'a Integer> for Integer

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: &Integer) -> Self::Output

Performs the / operation.

impl<'a> Div<&'a Integer> for &'a Integer

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: &'a Integer) -> Self::Output

Performs the / operation.

impl<B> Div<B> for Integer where
    Integer: Div<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: B) -> Self::Output

Performs the / operation.

impl<'a, B> Div<B> for &'a Integer where
    Integer: Div<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: B) -> Self::Output

Performs the / operation.

impl Div<Integer> for Integer

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: Integer) -> Self::Output

Performs the / operation.

impl<'a> Div<Integer> for &'a Integer

type Output = Integer

The resulting type after applying the / operator.

fn div(self, rhs: Integer) -> Self::Output

Performs the / operation.

impl<'a> DivAssign<&'a Integer> for Integer

fn div_assign(&mut self, rhs: &Integer)

Performs the /= operation.

impl<B> DivAssign<B> for Integer where
    Integer: DivAssign<B>, 

fn div_assign(&mut self, rhs: B)

Performs the /= operation.

impl DivAssign<Integer> for Integer

fn div_assign(&mut self, rhs: Integer)

Performs the /= operation.

impl Divisibility for Integer

fn divides(self, rhs: Self) -> bool

Determines if there exists an element x such that self*x = rhs

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

Finds an element x such that self*x = rhs if such an element exists

fn unit(&self) -> bool

Determines if this element has a multiplicative inverse

fn inverse(self) -> Option<Self>

Finds this element's multiplicative inverse if it exists

impl Eq for Integer

impl From<Integer> for Integer

fn from(src: Integer) -> Self

Performs the conversion.

impl From<bool> for Integer

fn from(src: bool) -> Self

Performs the conversion.

impl From<i128> for Integer

fn from(src: i128) -> Self

Performs the conversion.

impl From<i16> for Integer

fn from(src: i16) -> Self

Performs the conversion.

impl From<i32> for Integer

fn from(src: i32) -> Self

Performs the conversion.

impl From<i64> for Integer

fn from(src: i64) -> Self

Performs the conversion.

impl From<i8> for Integer

fn from(src: i8) -> Self

Performs the conversion.

impl From<isize> for Integer

fn from(src: isize) -> Self

Performs the conversion.

impl From<u128> for Integer

fn from(src: u128) -> Self

Performs the conversion.

impl From<u16> for Integer

fn from(src: u16) -> Self

Performs the conversion.

impl From<u32> for Integer

fn from(src: u32) -> Self

Performs the conversion.

impl From<u64> for Integer

fn from(src: u64) -> Self

Performs the conversion.

impl From<u8> for Integer

fn from(src: u8) -> Self

Performs the conversion.

impl From<usize> for Integer

fn from(src: usize) -> Self

Performs the conversion.

impl FromPrimitive for Integer

fn from_i64(n: i64) -> Option<Self>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u64(n: u64) -> Option<Self>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i128(n: i128) -> Option<Self>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u128(n: u128) -> Option<Self>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Self>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl GCD for Integer

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

Algorithm borrowed from gcd crate

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

Finds the least common multiple of two elements

impl Inv for Integer

type Output = Integer

The result after applying the operator.

fn inv(self) -> Self::Output

Returns the multiplicative inverse of self.

impl<'a> Mul<&'a Integer> for Integer

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: &Integer) -> Self::Output

Performs the * operation.

impl<'a> Mul<&'a Integer> for &'a Integer

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Integer) -> Self::Output

Performs the * operation.

impl<B> Mul<B> for Integer where
    Integer: Mul<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: B) -> Self::Output

Performs the * operation.

impl<'a, B> Mul<B> for &'a Integer where
    Integer: Mul<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: B) -> Self::Output

Performs the * operation.

impl Mul<Integer> for Integer

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: Integer) -> Self::Output

Performs the * operation.

impl<'a> Mul<Integer> for &'a Integer

type Output = Integer

The resulting type after applying the * operator.

fn mul(self, rhs: Integer) -> Self::Output

Performs the * operation.

impl<'a> MulAssign<&'a Integer> for Integer

fn mul_assign(&mut self, rhs: &Integer)

Performs the *= operation.

impl<B> MulAssign<B> for Integer where
    Integer: MulAssign<B>, 

fn mul_assign(&mut self, rhs: B)

Performs the *= operation.

impl MulAssign<Integer> for Integer

fn mul_assign(&mut self, rhs: Integer)

Performs the *= operation.

impl MulAssociative for Integer

impl MulCommutative for Integer

impl MulOrdered for Integer

impl Neg for Integer

type Output = Integer

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl NoZeroDivisors for Integer

impl One for Integer

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl Ord for Integer

fn cmp(&self, other: &Integer) -> Ordering

This method returns an Ordering between self and other.

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

Compares and returns the maximum of two values.

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

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

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

Restrict a value to a certain interval.

impl PartialEq<Integer> for Integer

fn eq(&self, other: &Integer) -> bool

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

fn ne(&self, other: &Integer) -> bool

This method tests for !=.

impl PartialOrd<Integer> for Integer

fn partial_cmp(&self, other: &Integer) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Integer) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Integer) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Integer) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Integer) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl Primality for Integer

fn prime(&self) -> bool

Trial division algorithm

fn irreducible(&self) -> bool

Determines if this element cannot be produced from the product of two other non-invertible elements

impl<'a> Rem<&'a Integer> for Integer

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: &Integer) -> Self::Output

Performs the % operation.

impl<'a> Rem<&'a Integer> for &'a Integer

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: &'a Integer) -> Self::Output

Performs the % operation.

impl<B> Rem<B> for Integer where
    Integer: Rem<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: B) -> Self::Output

Performs the % operation.

impl<'a, B> Rem<B> for &'a Integer where
    Integer: Rem<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: B) -> Self::Output

Performs the % operation.

impl Rem<Integer> for Integer

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: Integer) -> Self::Output

Performs the % operation.

impl<'a> Rem<Integer> for &'a Integer

type Output = Integer

The resulting type after applying the % operator.

fn rem(self, rhs: Integer) -> Self::Output

Performs the % operation.

impl<'a> RemAssign<&'a Integer> for Integer

fn rem_assign(&mut self, rhs: &Integer)

Performs the %= operation.

impl<B> RemAssign<B> for Integer where
    Integer: RemAssign<B>, 

fn rem_assign(&mut self, rhs: B)

Performs the %= operation.

impl RemAssign<Integer> for Integer

fn rem_assign(&mut self, rhs: Integer)

Performs the %= operation.

impl Sign for Integer

fn signum(self) -> Self

Returns 1 if positive, -1 if negative, or itself (ie. 0 or NaN) if neither

fn abs(self) -> Self

Returns this element's negative if less than 0 or itself otherwise

impl StructuralEq for Integer

impl StructuralPartialEq for Integer

impl<'a> Sub<&'a Integer> for Integer

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: &Integer) -> Self::Output

Performs the - operation.

impl<'a> Sub<&'a Integer> for &'a Integer

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Integer) -> Self::Output

Performs the - operation.

impl<B> Sub<B> for Integer where
    Integer: Sub<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: B) -> Self::Output

Performs the - operation.

impl<'a, B> Sub<B> for &'a Integer where
    Integer: Sub<B, Output = Integer>, 

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: B) -> Self::Output

Performs the - operation.

impl Sub<Integer> for Integer

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: Integer) -> Self::Output

Performs the - operation.

impl<'a> Sub<Integer> for &'a Integer

type Output = Integer

The resulting type after applying the - operator.

fn sub(self, rhs: Integer) -> Self::Output

Performs the - operation.

impl<'a> SubAssign<&'a Integer> for Integer

fn sub_assign(&mut self, rhs: &Integer)

Performs the -= operation.

impl<B> SubAssign<B> for Integer where
    Integer: SubAssign<B>, 

fn sub_assign(&mut self, rhs: B)

Performs the -= operation.

impl SubAssign<Integer> for Integer

fn sub_assign(&mut self, rhs: Integer)

Performs the -= operation.

impl ToPrimitive for Integer

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. If the value cannot be represented by an f32, then None is returned.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. If the value cannot be represented by an f64, then None is returned.

impl UniquelyFactorizable for Integer

impl Zero for Integer

fn zero() -> Self

Returns the additive identity element of Self, 0. # Purity

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.