Enum Number 

pub enum Number {
    SmallNum(i128),
    BigNum(BigInt),
}

Values that can fit into an i64 are SmallNum, others are BigNum. We store them in i128 so that the multiplications can happen without overflow.

Variants

SmallNum(i128)

BigNum(BigInt)

Implementations

impl Number

pub fn bit(&self, idx: usize) -> bool

pub fn power_of_two(idx: usize) -> Number

pub fn negative_power_of_two(idx: usize) -> Number

pub fn bits(&self) -> usize

pub fn gen_range<R: Rng + ?Sized>( rng: &mut R, lower: &Number, upper: &Number, ) -> Number

impl Number

pub fn log2(&self) -> f64

Trait Implementations

impl<'a, 'b> Add<&'b Number> for &'a Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &'b Number) -> Number

Performs the + operation.

impl<'a> Add<&'a Number> for &i32

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &'a Number) -> Number

Performs the + operation.

impl<'b> Add<&'b Number> for Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &'b Number) -> Number

Performs the + operation.

impl<'a> Add<&'a Number> for i32

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &'a Number) -> Number

Performs the + operation.

impl<'a> Add<&i32> for &'a Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &i32) -> Number

Performs the + operation.

impl Add<&i32> for Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: &i32) -> Number

Performs the + operation.

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

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: Number) -> Number

Performs the + operation.

impl Add<Number> for &i32

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: Number) -> Number

Performs the + operation.

impl Add<Number> for i32

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: Number) -> Number

Performs the + operation.

impl<'a> Add<i32> for &'a Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: i32) -> Number

Performs the + operation.

impl Add<i32> for Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: i32) -> Number

Performs the + operation.

impl Add for Number

type Output = Number

The resulting type after applying the + operator.

fn add(self, rhs: Number) -> Number

Performs the + operation.

impl BitAnd for Number

type Output = Number

The resulting type after applying the & operator.

fn bitand(self, rhs: Self) -> Self::Output

Performs the & operation.

impl Clone for Number

fn clone(&self) -> Number

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Number

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Number

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Number

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

Formats the value using the given formatter.

impl<'a, 'b> Div<&'b Number> for &'a Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &'b Number) -> Number

Performs the / operation.

impl<'a> Div<&'a Number> for &i32

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &'a Number) -> Number

Performs the / operation.

impl<'b> Div<&'b Number> for Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &'b Number) -> Number

Performs the / operation.

impl<'a> Div<&'a Number> for i32

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &'a Number) -> Number

Performs the / operation.

impl<'a> Div<&i32> for &'a Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &i32) -> Number

Performs the / operation.

impl Div<&i32> for Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: &i32) -> Number

Performs the / operation.

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

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: Number) -> Number

Performs the / operation.

impl Div<Number> for &i32

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: Number) -> Number

Performs the / operation.

impl Div<Number> for i32

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: Number) -> Number

Performs the / operation.

impl<'a> Div<i32> for &'a Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: i32) -> Number

Performs the / operation.

impl Div<i32> for Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: i32) -> Number

Performs the / operation.

impl Div for Number

type Output = Number

The resulting type after applying the / operator.

fn div(self, rhs: Number) -> Number

Performs the / operation.

impl From<&Number> for BaseField

fn from(number: &Number) -> Self

Converts to this type from the input type.

impl From<&Number> for ScalarField

fn from(number: &Number) -> Self

Converts to this type from the input type.

impl<'a> From<&'a bool> for Number

fn from(value: &'a bool) -> Self

Converts to this type from the input type.

impl<'a> From<&'a i128> for Number

fn from(value: &'a i128) -> Self

Converts to this type from the input type.

impl<'a> From<&'a i16> for Number

fn from(value: &'a i16) -> Self

Converts to this type from the input type.

impl<'a> From<&'a i32> for Number

fn from(value: &'a i32) -> Self

Converts to this type from the input type.

impl<'a> From<&'a i64> for Number

fn from(value: &'a i64) -> Self

Converts to this type from the input type.

impl<'a> From<&'a i8> for Number

fn from(value: &'a i8) -> Self

Converts to this type from the input type.

impl<'a> From<&'a isize> for Number

fn from(value: &'a isize) -> Self

Converts to this type from the input type.

impl From<&str> for Number

fn from(value: &str) -> Self

Converts to this type from the input type.

impl<'a> From<&'a u128> for Number

fn from(value: &'a u128) -> Self

Converts to this type from the input type.

impl<'a> From<&'a u16> for Number

fn from(value: &'a u16) -> Self

Converts to this type from the input type.

impl<'a> From<&'a u32> for Number

fn from(value: &'a u32) -> Self

Converts to this type from the input type.

impl<'a> From<&'a u64> for Number

fn from(value: &'a u64) -> Self

Converts to this type from the input type.

impl<'a> From<&'a u8> for Number

fn from(value: &'a u8) -> Self

Converts to this type from the input type.

impl<'a> From<&'a usize> for Number

fn from(value: &'a usize) -> Self

Converts to this type from the input type.

impl<const N: usize> From<[u8; N]> for Number

fn from(value: [u8; N]) -> Self

Converts to this type from the input type.

impl From<BigInt> for Number

fn from(value: BigInt) -> Self

Converts to this type from the input type.

impl<const N: usize> From<Number> for [u8; N]

fn from(value: Number) -> Self

Converts to this type from the input type.

impl From<Number> for BaseField

fn from(number: Number) -> Self

Converts to this type from the input type.

impl From<Number> for BigInt

fn from(value: Number) -> Self

Converts to this type from the input type.

impl From<Number> for ScalarField

fn from(number: Number) -> Self

Converts to this type from the input type.

impl From<Number> for f64

fn from(number: Number) -> Self

Converts to this type from the input type.

impl From<bool> for Number

fn from(value: bool) -> Self

Converts to this type from the input type.

impl From<f32> for Number

fn from(value: f32) -> Self

Converts to this type from the input type.

impl From<f64> for Number

fn from(value: f64) -> Self

Converts to this type from the input type.

impl From<i128> for Number

fn from(value: i128) -> Self

Converts to this type from the input type.

impl From<i16> for Number

fn from(value: i16) -> Self

Converts to this type from the input type.

impl From<i32> for Number

fn from(value: i32) -> Self

Converts to this type from the input type.

impl From<i64> for Number

fn from(value: i64) -> Self

Converts to this type from the input type.

impl From<i8> for Number

fn from(value: i8) -> Self

Converts to this type from the input type.

impl From<isize> for Number

fn from(value: isize) -> Self

Converts to this type from the input type.

impl From<u128> for Number

fn from(value: u128) -> Self

Converts to this type from the input type.

impl From<u16> for Number

fn from(value: u16) -> Self

Converts to this type from the input type.

impl From<u32> for Number

fn from(value: u32) -> Self

Converts to this type from the input type.

impl From<u64> for Number

fn from(value: u64) -> Self

Converts to this type from the input type.

impl From<u8> for Number

fn from(value: u8) -> Self

Converts to this type from the input type.

impl From<usize> for Number

fn from(value: usize) -> Self

Converts to this type from the input type.

impl FromStr for Number

type Err = ParseBigIntError

The associated error which can be returned from parsing.

fn from_str(str: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type.

impl Hash for Number

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<'a, 'b> Mul<&'b Number> for &'a Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Number) -> Number

Performs the * operation.

impl<'a> Mul<&'a Number> for &i32

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Number) -> Number

Performs the * operation.

impl<'b> Mul<&'b Number> for Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Number) -> Number

Performs the * operation.

impl<'a> Mul<&'a Number> for i32

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Number) -> Number

Performs the * operation.

impl<'a> Mul<&i32> for &'a Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &i32) -> Number

Performs the * operation.

impl Mul<&i32> for Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: &i32) -> Number

Performs the * operation.

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

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: Number) -> Number

Performs the * operation.

impl Mul<Number> for &i32

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: Number) -> Number

Performs the * operation.

impl Mul<Number> for i32

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: Number) -> Number

Performs the * operation.

impl<'a> Mul<i32> for &'a Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: i32) -> Number

Performs the * operation.

impl Mul<i32> for Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: i32) -> Number

Performs the * operation.

impl Mul for Number

type Output = Number

The resulting type after applying the * operator.

fn mul(self, rhs: Number) -> Number

Performs the * operation.

impl Neg for Number

type Output = Number

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Num for Number

type FromStrRadixErr = ParseBigIntError

fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36).

impl One for Number

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

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

fn is_one(&self) -> bool

where Self: PartialEq,

Returns true if self is equal to the multiplicative identity.

impl Ord for Number

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

This method returns an Ordering between self and other.

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

where Self: Sized,

Compares and returns the maximum of two values.

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

where Self: Sized,

Compares and returns the minimum of two values.

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

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq<Number> for i32

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialEq<i32> for Number

fn eq(&self, other: &i32) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialEq for Number

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd<Number> for i32

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

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl PartialOrd<i32> for Number

fn partial_cmp(&self, other: &i32) -> Option<Ordering>

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl PartialOrd for Number

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

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

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

Tests less than (for self and other) and is used by the < operator.

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

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

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl<'a, 'b> Rem<&'b Number> for &'a Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &'b Number) -> Number

Performs the % operation.

impl<'a> Rem<&'a Number> for &i32

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &'a Number) -> Number

Performs the % operation.

impl<'b> Rem<&'b Number> for Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &'b Number) -> Number

Performs the % operation.

impl<'a> Rem<&'a Number> for i32

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &'a Number) -> Number

Performs the % operation.

impl<'a> Rem<&i32> for &'a Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &i32) -> Number

Performs the % operation.

impl Rem<&i32> for Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: &i32) -> Number

Performs the % operation.

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

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: Number) -> Number

Performs the % operation.

impl Rem<Number> for &i32

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: Number) -> Number

Performs the % operation.

impl Rem<Number> for i32

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: Number) -> Number

Performs the % operation.

impl<'a> Rem<i32> for &'a Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: i32) -> Number

Performs the % operation.

impl Rem<i32> for Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: i32) -> Number

Performs the % operation.

impl Rem for Number

type Output = Number

The resulting type after applying the % operator.

fn rem(self, rhs: Number) -> Number

Performs the % operation.

impl Serialize for Number

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Shr<&usize> for Number

type Output = Number

The resulting type after applying the >> operator.

fn shr(self, rhs: &usize) -> Self::Output

Performs the >> operation.

impl Shr<usize> for Number

type Output = Number

The resulting type after applying the >> operator.

fn shr(self, rhs: usize) -> Self::Output

Performs the >> operation.

impl Signed for Number

fn abs(&self) -> Self

Computes the absolute value.

fn abs_sub(&self, other: &Self) -> Self

The positive difference of two numbers.

fn signum(&self) -> Self

Returns the sign of the number.

fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.

fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.

impl<'a, 'b> Sub<&'b Number> for &'a Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Number) -> Number

Performs the - operation.

impl<'a> Sub<&'a Number> for &i32

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Number) -> Number

Performs the - operation.

impl<'b> Sub<&'b Number> for Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &'b Number) -> Number

Performs the - operation.

impl<'a> Sub<&'a Number> for i32

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Number) -> Number

Performs the - operation.

impl<'a> Sub<&i32> for &'a Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &i32) -> Number

Performs the - operation.

impl Sub<&i32> for Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: &i32) -> Number

Performs the - operation.

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

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: Number) -> Number

Performs the - operation.

impl Sub<Number> for &i32

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: Number) -> Number

Performs the - operation.

impl Sub<Number> for i32

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: Number) -> Number

Performs the - operation.

impl<'a> Sub<i32> for &'a Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: i32) -> Number

Performs the - operation.

impl Sub<i32> for Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: i32) -> Number

Performs the - operation.

impl Sub for Number

type Output = Number

The resulting type after applying the - operator.

fn sub(self, rhs: Number) -> Number

Performs the - operation.

impl Sum for Number

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl ToPrimitive for Number

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_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_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_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_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_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_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

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

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

impl Zero for Number

fn zero() -> Self

Returns the additive identity element of Self, 0.

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.

impl Eq for Number

impl StructuralPartialEq for Number