Trait malachite_base::num::conversion::traits::Digits

pub trait Digits<T>: Sized {
    // Required methods
    fn to_digits_asc(&self, base: &T) -> Vec<T>;
    fn to_digits_desc(&self, base: &T) -> Vec<T>;
    fn from_digits_asc<I: Iterator<Item = T>>(
        base: &T,
        digits: I
    ) -> Option<Self>;
    fn from_digits_desc<I: Iterator<Item = T>>(
        base: &T,
        digits: I
    ) -> Option<Self>;
}

Expresses a value as a Vec of digits, or reads a value from an iterator of digits.

The trait is parameterized by T, which is both the digit type and the base type.

Required Methods

fn to_digits_asc(&self, base: &T) -> Vec<T>

Returns a Vec containing the digits of a value in ascending order: least- to most-significant.

fn to_digits_desc(&self, base: &T) -> Vec<T>

Returns a Vec containing the digits of a value in descending order: most- to least-significant.

fn from_digits_asc<I: Iterator<Item = T>>(base: &T, digits: I) -> Option<Self>

Converts an iterator of digits into a value.

The input digits are in ascending order: least- to most-significant.

fn from_digits_desc<I: Iterator<Item = T>>(base: &T, digits: I) -> Option<Self>

Converts an iterator of digits into a value.

The input digits are in descending order: most- to least-significant.

Object Safety

This trait is not object safe.

Implementations on Foreign Types

impl Digits<u8> for u8

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u8> for u16

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u8> for u32

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u8> for u64

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u8> for u128

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>(base: &u8, digits: I) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>( base: &u8, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u8> for usize

fn to_digits_asc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u8) -> Vec<u8>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u8>>( base: &u8, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u8>>( base: &u8, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for u8

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>(base: &u16, digits: I) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for u16

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for u32

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for u64

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for u128

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u16> for usize

fn to_digits_asc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u16) -> Vec<u16>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u16>>( base: &u16, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for u8

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>(base: &u32, digits: I) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for u16

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for u32

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for u64

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for u128

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u32> for usize

fn to_digits_asc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u32) -> Vec<u32>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u32>>( base: &u32, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for u8

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>(base: &u64, digits: I) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for u16

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for u32

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for u64

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for u128

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u64> for usize

fn to_digits_asc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u64) -> Vec<u64>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u64>>( base: &u64, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for u8

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for u16

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for u32

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for u64

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for u128

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<u128> for usize

fn to_digits_asc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &u128) -> Vec<u128>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = u128>>( base: &u128, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for u8

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u8>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for u16

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u16>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for u32

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u32>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for u64

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u64>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for u128

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<u128>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

impl Digits<usize> for usize

fn to_digits_asc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in ascending order (least- to most-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it ends with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_i = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than Self::MAX.

Examples

See here.

fn to_digits_desc(&self, base: &usize) -> Vec<usize>

Returns a Vec containing the digits of a number in descending order (most- to least-significant).

The base must be convertible to Self. If self is 0, the Vec is empty; otherwise, it begins with a nonzero digit.

$f(x, b) = (d_i)_ {i=0}^{k-1}$, where $0 \leq d_i < b$ for all $i$, $k=0$ or $d_{k-1} \neq 0$, and

$$ \sum_{i=0}^{k-1}b^i d_{k-i-1} = x. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(n)$

where $T$ is time, $M$ is additional memory, and $n$ is self.significant_bits().

Panics

Panics if base is less than 2 or greater than $t::MAX.

Examples

See here.

fn from_digits_asc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in ascending order (least- to most-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^id_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

fn from_digits_desc<I: Iterator<Item = usize>>( base: &usize, digits: I ) -> Option<usize>

Converts an iterator of digits into a value.

The input digits are in descending order (most- to least-significant). The base must be no larger than Self::MAX. The function returns None if the input represents a number that can’t fit in Self, if base is greater than Self::MAX, or if any of the digits are greater than or equal to the base.

$$ f((d_i)_ {i=0}^{k-1}, b) = \sum_{i=0}^{k-1}b^{k-i-1}d_i. $$

Worst-case complexity

$T(n) = O(n)$

$M(n) = O(1)$

where $T$ is time, $M$ is additional memory, and $n$ is digits.count().

Panics

Panics if base is less than 2.

Examples

See here.

Implementors