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Integer

Struct Integer 

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pub struct Integer(/* private fields */);
Expand description

任意精度整数,规范形见模块文档。

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impl Integer

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pub const fn zero() -> Integer

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pub const fn one() -> Integer

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pub const fn from_i64(v: i64) -> Integer

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pub fn parse(s: &str) -> Option<Integer>

解析十进制字面量(可带负号);超出 i64 自动落大数表示。

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pub fn is_zero(&self) -> bool

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pub fn is_one(&self) -> bool

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pub fn is_negative(&self) -> bool

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pub fn sign(&self) -> i32

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

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

非负值且不超过 u64 时返回(Rational 的 Small 分母可到 u64 上界; Big 表示按值判断——(i64::MAX, u64::MAX] 区间的值在 Integer 是 Big, 但作为 Rational 分母仍应落 Small,故此处不能只看表示)。

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pub fn from_u64(v: u64) -> Integer

u64 落位:能进 i64 用 Small,否则 Big(规范形要求)。

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pub fn bit_len(&self) -> u64

数值的二进制位数(0 返回 0)。expr 层用它做幂折叠的规模守卫。

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pub fn abs(&self) -> Integer

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pub fn neg(&self) -> Integer

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

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pub fn sub(&self, other: &Integer) -> Integer

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

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pub fn pow(&self, exp: u32) -> Integer

非负整数幂。规模守卫由调用方(expr 层)负责,本方法不做上限检查。

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pub fn gcd(&self, other: &Integer) -> Integer

辗转相除,结果非负;gcd(0, 0) = 0

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pub fn div_exact(&self, divisor: &Integer) -> Integer

精确除法;调用方保证整除(Rational 规范化路径)。

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pub fn from_bigint(b: BigInt) -> Integer

由大数构造(自动落回 Small 表示,若值在 i64 内)。

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pub fn to_bigint(&self) -> BigInt

导出为大数表示(Rational 跨表示运算的提升通道)。

Trait Implementations§

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impl Clone for Integer

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fn clone(&self) -> Integer

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

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

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

Formats the value using the given formatter. Read more
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impl Display for Integer

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

Formats the value using the given formatter. Read more
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impl Eq for Integer

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impl Hash for Integer

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

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl Ord for Integer

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

This method returns an Ordering between self and other. Read more
1.21.0 (const: unstable) · Source§

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

Compares and returns the maximum of two values. Read more
1.21.0 (const: unstable) · Source§

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

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

Restrict a value to a certain interval. Read more
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fn clamp_to<R>(self, range: R) -> Self
where Self: Sized, R: ClampBounds<Self>,

🔬This is a nightly-only experimental API. (clamp_to)
Restrict a value to a certain range. Read more
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impl PartialEq for Integer

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

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

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

Inequality operator !=. Read more
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impl PartialOrd for Integer

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

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

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

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

Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 (const: unstable) · Source§

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

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

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fn zero() -> Integer

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fn one() -> Integer

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fn from_i64_coeff(v: i64) -> Integer

由 i64 构造系数(poly 偏导的指数乘子等用途)。
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fn add(&self, other: &Integer) -> Integer

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fn sub(&self, other: &Integer) -> Integer

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fn mul(&self, other: &Integer) -> Integer

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fn neg(&self) -> Integer

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fn is_zero(&self) -> bool

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fn is_one(&self) -> bool

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fn pow_u32(&self, e: u32) -> Integer

非负整数幂;默认重复乘,实现方可覆写快速路径。
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impl StructuralPartialEq for Integer

Auto Trait Implementations§

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = !

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, !>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.