Struct sp_arithmetic::biguint::BigUint

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

Simple wrapper around an infinitely large integer, represented as limbs of Single.

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impl BigUint

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pub fn with_capacity(size: usize) -> Self

Create a new instance with size limbs. This prevents any number with zero limbs to be created.

The behavior of the type is undefined with zero limbs.

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pub fn from_limbs(limbs: &[Single]) -> Self

Raw constructor from custom limbs. If limbs is empty, Zero::zero() implementation is used.

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pub fn len(&self) -> usize

Number of limbs.

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pub fn get(&self, index: usize) -> Single

A naive getter for limb at index. Note that the order is lsb -> msb.

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This panics if index is out of range.

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pub fn checked_get(&self, index: usize) -> Option<Single>

A naive getter for limb at index. Note that the order is lsb -> msb.

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pub fn set(&mut self, index: usize, value: Single)

A naive setter for limb at index. Note that the order is lsb -> msb.

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This panics if index is out of range.

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pub fn lsb(&self) -> Single

returns the least significant limb of the number.

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While the constructor of the type prevents this, this can panic if self has no digits.

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pub fn msb(&self) -> Single

returns the most significant limb of the number.

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While the constructor of the type prevents this, this can panic if self has no digits.

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pub fn lstrip(&mut self)

Strips zeros from the left side (the most significant limbs) of self, if any.

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pub fn lpad(&mut self, size: usize)

Zero-pad self from left to reach size limbs. Will not make any difference if self is already bigger than size limbs.

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pub fn add(self, other: &Self) -> Self

Adds self with other. self and other do not have to have any particular size. Given that the n = max{size(self), size(other)}, it will produce a number with n + 1 limbs.

This function does not strip the output and returns the original allocated n + 1 limbs. The caller may strip the output if desired.

Taken from “The Art of Computer Programming” by D.E. Knuth, vol 2, chapter 4.

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pub fn sub(self, other: &Self) -> Result<Self, Self>

Subtracts other from self. self and other do not have to have any particular size. Given that the n = max{size(self), size(other)}, it will produce a number of size n.

If other is bigger than self, Err(B - borrow) is returned.

Taken from “The Art of Computer Programming” by D.E. Knuth, vol 2, chapter 4.

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pub fn mul(self, other: &Self) -> Self

Multiplies n-limb number self with m-limb number other.

The resulting number will always have n + m limbs.

This function does not strip the output and returns the original allocated n + m limbs. The caller may strip the output if desired.

Taken from “The Art of Computer Programming” by D.E. Knuth, vol 2, chapter 4.

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pub fn div_unit(self, other: Single) -> Self

Divides self by a single limb other. This can be used in cases where the original division cannot work due to the divisor (other) being just one limb.

Invariant: other cannot be zero.

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pub fn div(self, other: &Self, rem: bool) -> Option<(Self, Self)>

Divides an n + m limb self by a n limb other. The result is a m + 1 limb quotient and a n limb remainder, if enabled by passing true in rem argument, both in the form of an option’s Ok.

  • requires other to be stripped and have no leading zeros.
  • requires self to be stripped and have no leading zeros.
  • requires other to have at least two limbs.
  • requires self to have a greater length compared to other.

All arguments are examined without being stripped for the above conditions. If any of the above fails, None is returned.`

Taken from “The Art of Computer Programming” by D.E. Knuth, vol 2, chapter 4.

Trait Implementations§

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impl Add for BigUint

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type Output = BigUint

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl Clone for BigUint

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fn clone(&self) -> BigUint

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for BigUint

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

Formats the value using the given formatter. Read more
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impl Decode for BigUint

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fn decode<__CodecInputEdqy: Input>( __codec_input_edqy: &mut __CodecInputEdqy, ) -> Result<Self, Error>

Attempt to deserialise the value from input.
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fn decode_into<I>( input: &mut I, dst: &mut MaybeUninit<Self>, ) -> Result<DecodeFinished, Error>
where I: Input,

Attempt to deserialize the value from input into a pre-allocated piece of memory. Read more
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fn skip<I>(input: &mut I) -> Result<(), Error>
where I: Input,

Attempt to skip the encoded value from input. Read more
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fn encoded_fixed_size() -> Option<usize>

Returns the fixed encoded size of the type. Read more
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impl Default for BigUint

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fn default() -> BigUint

Returns the “default value” for a type. Read more
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impl Encode for BigUint

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fn size_hint(&self) -> usize

If possible give a hint of expected size of the encoding. Read more
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fn encode_to<__CodecOutputEdqy: Output + ?Sized>( &self, __codec_dest_edqy: &mut __CodecOutputEdqy, )

Convert self to a slice and append it to the destination.
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fn encode(&self) -> Vec<u8>

Convert self to an owned vector.
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fn using_encoded<__CodecOutputReturn, __CodecUsingEncodedCallback: FnOnce(&[u8]) -> __CodecOutputReturn>( &self, f: __CodecUsingEncodedCallback, ) -> __CodecOutputReturn

Convert self to a slice and then invoke the given closure with it.
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fn encoded_size(&self) -> usize

Calculates the encoded size. Read more
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impl From<u128> for BigUint

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fn from(a: u128) -> Self

Converts to this type from the input type.
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impl From<u16> for BigUint

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fn from(a: u16) -> Self

Converts to this type from the input type.
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impl From<u32> for BigUint

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fn from(a: u32) -> Self

Converts to this type from the input type.
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impl From<u64> for BigUint

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fn from(a: Double) -> Self

Converts to this type from the input type.
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impl From<u8> for BigUint

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fn from(a: u8) -> Self

Converts to this type from the input type.
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impl Mul for BigUint

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type Output = BigUint

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
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impl One for BigUint

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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fn is_one(&self) -> bool
where Self: PartialEq,

Returns true if self is equal to the multiplicative identity. Read more
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impl Ord for BigUint

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

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more
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impl PartialEq for BigUint

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

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for BigUint

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

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

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

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type Output = BigUint

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl TryFrom<BigUint> for u128

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type Error = &'static str

The type returned in the event of a conversion error.
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fn try_from(value: BigUint) -> Result<u128, Self::Error>

Performs the conversion.
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impl TryFrom<BigUint> for u64

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type Error = &'static str

The type returned in the event of a conversion error.
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fn try_from(value: BigUint) -> Result<u64, Self::Error>

Performs the conversion.
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impl Zero for BigUint

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more
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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.
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fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.
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impl EncodeLike for BigUint

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impl Eq for BigUint

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impl<T> Any for T
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fn type_id(&self) -> TypeId

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Immutably borrows from an owned value. Read more
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fn borrow_mut(&mut self) -> &mut T

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impl<T> CloneToUninit for T
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default unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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fn decode_all(input: &mut &[u8]) -> Result<T, Error>

Decode Self and consume all of the given input data. Read more
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fn decode_all_with_depth_limit( limit: u32, input: &mut &[u8], ) -> Result<T, Error>

Decode Self and consume all of the given input data. Read more
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Decode Self with the given maximum recursion depth and advance input by the number of bytes consumed. Read more
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fn ensure_from(other: T) -> Result<Self, ArithmeticError>

Performs the conversion returning an ArithmeticError if fails. Read more
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fn ensure_into(self) -> Result<T, ArithmeticError>

Performs the conversion returning an ArithmeticError if fails. Read more
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fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.
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where Self: Display,

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fn fmt_lower_exp(self) -> FmtLowerExp<Self>
where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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fn fmt_upper_exp(self) -> FmtUpperExp<Self>
where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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fn fmt_upper_hex(self) -> FmtUpperHex<Self>
where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
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fn saturated_from<T>(t: T) -> Self
where Self: UniqueSaturatedFrom<T>,

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where Self: UniqueSaturatedInto<T>,

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fn tap(self, func: impl FnOnce(&Self)) -> Self

Immutable access to a value. Read more
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Mutable access to a value. Read more
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Performs the conversion.
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Performs the conversion.
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Consume self to return an equivalent value of T.
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