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Trait polkadot_service::runtime_traits::Zero

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pub trait Zero: Sized + Add<Output = Self> {
    // Required methods
    fn zero() -> Self;
    fn is_zero(&self) -> bool;

    // Provided method
    fn set_zero(&mut self) { ... }
}
Expand description

Defines an additive identity element for Self.

§Laws

a + 0 = a       ∀ a ∈ Self
0 + a = a       ∀ a ∈ Self

Required Methods§

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fn zero() -> Self

Returns the additive identity element of Self, 0.

§Purity

This function should return the same result at all times regardless of external mutable state, for example values stored in TLS or in static muts.

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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

Provided Methods§

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fn set_zero(&mut self)

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

Object Safety§

This trait is not object safe.

Implementations on Foreign Types§

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impl Zero for f32

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fn zero() -> f32

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fn is_zero(&self) -> bool

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impl Zero for f64

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fn zero() -> f64

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fn is_zero(&self) -> bool

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impl Zero for i8

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fn zero() -> i8

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fn is_zero(&self) -> bool

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impl Zero for i16

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fn zero() -> i16

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fn is_zero(&self) -> bool

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impl Zero for i32

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fn zero() -> i32

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fn is_zero(&self) -> bool

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impl Zero for i64

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fn zero() -> i64

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fn is_zero(&self) -> bool

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impl Zero for i128

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impl Zero for isize

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impl Zero for u8

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fn zero() -> u8

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fn is_zero(&self) -> bool

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impl Zero for u16

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fn zero() -> u16

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fn is_zero(&self) -> bool

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impl Zero for u32

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fn zero() -> u32

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fn is_zero(&self) -> bool

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impl Zero for u64

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fn zero() -> u64

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fn is_zero(&self) -> bool

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impl Zero for u128

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impl Zero for usize

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impl Zero for CountBound

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impl Zero for SizeBound

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impl Zero for BigUint

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impl Zero for BigUint

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impl Zero for FixedI64

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impl Zero for FixedI64

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impl Zero for FixedI128

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impl Zero for FixedI128

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impl Zero for FixedU64

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impl Zero for FixedU64

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impl Zero for FixedU128

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impl Zero for FixedU128

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impl Zero for PerU16

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impl Zero for PerU16

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impl Zero for Perbill

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impl Zero for Perbill

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impl Zero for Percent

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impl Zero for Percent

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impl Zero for Permill

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impl Zero for Permill

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impl Zero for Perquintill

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impl Zero for Perquintill

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impl Zero for Weight

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impl Zero for Weight

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impl Zero for BigInt

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fn zero() -> BigInt

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fn set_zero(&mut self)

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fn is_zero(&self) -> bool

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impl Zero for BigUint

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fn zero() -> BigUint

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fn set_zero(&mut self)

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f32; 2]>

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fn zero() -> AutoSimd<[f32; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f32; 4]>

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fn zero() -> AutoSimd<[f32; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f32; 8]>

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fn zero() -> AutoSimd<[f32; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f32; 16]>

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fn zero() -> AutoSimd<[f32; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f64; 2]>

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fn zero() -> AutoSimd<[f64; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f64; 4]>

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fn zero() -> AutoSimd<[f64; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[f64; 8]>

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fn zero() -> AutoSimd<[f64; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i8; 2]>

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fn zero() -> AutoSimd<[i8; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i8; 4]>

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fn zero() -> AutoSimd<[i8; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i8; 8]>

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fn zero() -> AutoSimd<[i8; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i8; 16]>

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fn zero() -> AutoSimd<[i8; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i8; 32]>

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fn zero() -> AutoSimd<[i8; 32]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i16; 2]>

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fn zero() -> AutoSimd<[i16; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i16; 4]>

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fn zero() -> AutoSimd<[i16; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i16; 8]>

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fn zero() -> AutoSimd<[i16; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i16; 16]>

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fn zero() -> AutoSimd<[i16; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i16; 32]>

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fn zero() -> AutoSimd<[i16; 32]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i32; 2]>

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fn zero() -> AutoSimd<[i32; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i32; 4]>

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fn zero() -> AutoSimd<[i32; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i32; 8]>

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fn zero() -> AutoSimd<[i32; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i32; 16]>

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fn zero() -> AutoSimd<[i32; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i64; 2]>

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fn zero() -> AutoSimd<[i64; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i64; 4]>

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fn zero() -> AutoSimd<[i64; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i64; 8]>

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fn zero() -> AutoSimd<[i64; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i128; 1]>

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fn zero() -> AutoSimd<[i128; 1]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i128; 2]>

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fn zero() -> AutoSimd<[i128; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[i128; 4]>

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fn zero() -> AutoSimd<[i128; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[isize; 2]>

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fn zero() -> AutoSimd<[isize; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[isize; 4]>

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fn zero() -> AutoSimd<[isize; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[isize; 8]>

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fn zero() -> AutoSimd<[isize; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u8; 2]>

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fn zero() -> AutoSimd<[u8; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u8; 4]>

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fn zero() -> AutoSimd<[u8; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u8; 8]>

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fn zero() -> AutoSimd<[u8; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u8; 16]>

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fn zero() -> AutoSimd<[u8; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u8; 32]>

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fn zero() -> AutoSimd<[u8; 32]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u16; 2]>

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fn zero() -> AutoSimd<[u16; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u16; 4]>

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fn zero() -> AutoSimd<[u16; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u16; 8]>

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fn zero() -> AutoSimd<[u16; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u16; 16]>

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fn zero() -> AutoSimd<[u16; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u16; 32]>

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fn zero() -> AutoSimd<[u16; 32]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u32; 2]>

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fn zero() -> AutoSimd<[u32; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u32; 4]>

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fn zero() -> AutoSimd<[u32; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u32; 8]>

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fn zero() -> AutoSimd<[u32; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u32; 16]>

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fn zero() -> AutoSimd<[u32; 16]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u64; 2]>

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fn zero() -> AutoSimd<[u64; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u64; 4]>

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fn zero() -> AutoSimd<[u64; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u64; 8]>

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fn zero() -> AutoSimd<[u64; 8]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u128; 1]>

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fn zero() -> AutoSimd<[u128; 1]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u128; 2]>

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fn zero() -> AutoSimd<[u128; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[u128; 4]>

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fn zero() -> AutoSimd<[u128; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[usize; 2]>

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fn zero() -> AutoSimd<[usize; 2]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[usize; 4]>

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fn zero() -> AutoSimd<[usize; 4]>

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fn is_zero(&self) -> bool

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impl Zero for AutoSimd<[usize; 8]>

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fn zero() -> AutoSimd<[usize; 8]>

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fn is_zero(&self) -> bool

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impl Zero for U128

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fn zero() -> U128

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fn is_zero(&self) -> bool

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impl Zero for U128

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fn zero() -> U128

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fn is_zero(&self) -> bool

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impl Zero for U256

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fn zero() -> U256

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fn is_zero(&self) -> bool

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impl Zero for U256

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fn zero() -> U256

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fn is_zero(&self) -> bool

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impl Zero for U512

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fn zero() -> U512

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fn is_zero(&self) -> bool

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impl Zero for U512

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fn zero() -> U512

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fn is_zero(&self) -> bool

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impl Zero for WideF32x4

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fn zero() -> WideF32x4

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fn is_zero(&self) -> bool

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impl Zero for WideF32x8

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fn zero() -> WideF32x8

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fn is_zero(&self) -> bool

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impl Zero for WideF64x4

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fn zero() -> WideF64x4

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fn is_zero(&self) -> bool

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impl<F> Zero for DenseMultilinearExtension<F>
where F: Field,

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fn zero() -> DenseMultilinearExtension<F>

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fn is_zero(&self) -> bool

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impl<F> Zero for DensePolynomial<F>
where F: Field,

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fn zero() -> DensePolynomial<F>

Returns the zero polynomial.

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fn is_zero(&self) -> bool

Checks if the given polynomial is zero.

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impl<F> Zero for SparseMultilinearExtension<F>
where F: Field,

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fn zero() -> SparseMultilinearExtension<F>

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fn is_zero(&self) -> bool

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impl<F> Zero for SparsePolynomial<F>
where F: Field,

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fn zero() -> SparsePolynomial<F>

Returns the zero polynomial.

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fn is_zero(&self) -> bool

Checks if the given polynomial is zero.

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impl<F, T> Zero for SparsePolynomial<F, T>
where F: Field, T: Term,

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fn zero() -> SparsePolynomial<F, T>

Returns the zero polynomial.

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fn is_zero(&self) -> bool

Checks if the given polynomial is zero.

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impl<P> Zero for CubicExtField<P>
where P: CubicExtConfig,

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fn zero() -> CubicExtField<P>

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fn is_zero(&self) -> bool

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impl<P> Zero for PairingOutput<P>
where P: Pairing,

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fn zero() -> PairingOutput<P>

The identity element, or “zero”, of the group is the identity element of the multiplicative group of the underlying field, i.e., P::TargetField::one().

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fn is_zero(&self) -> bool

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impl<P> Zero for Projective<P>
where P: SWCurveConfig,

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fn zero() -> Projective<P>

Returns the point at infinity, which always has Z = 0.

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fn is_zero(&self) -> bool

Checks whether self.z.is_zero().

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impl<P> Zero for Projective<P>
where P: TECurveConfig,

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fn zero() -> Projective<P>

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fn is_zero(&self) -> bool

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impl<P> Zero for QuadExtField<P>
where P: QuadExtConfig,

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fn zero() -> QuadExtField<P>

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fn is_zero(&self) -> bool

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impl<P, const N: usize> Zero for Fp<P, N>
where P: FpConfig<N>,

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fn zero() -> Fp<P, N>

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fn is_zero(&self) -> bool

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impl<T> Zero for Wrapping<T>
where T: Zero, Wrapping<T>: Add<Output = Wrapping<T>>,

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fn is_zero(&self) -> bool

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fn set_zero(&mut self)

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fn zero() -> Wrapping<T>

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impl<T> Zero for DualQuaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

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impl<T> Zero for Quaternion<T>
where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

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impl<T> Zero for Complex<T>
where T: Clone + Num,

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fn zero() -> Complex<T>

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fn is_zero(&self) -> bool

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fn set_zero(&mut self)

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impl<T> Zero for Ratio<T>
where T: Clone + Integer,

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fn zero() -> Ratio<T>

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fn is_zero(&self) -> bool

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fn set_zero(&mut self)

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impl<T, D> Zero for TypeWithDefault<T, D>
where T: Zero + PartialEq, D: Get<T>,

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impl<T, D> Zero for TypeWithDefault<T, D>
where T: Zero + PartialEq, D: Get<T>,

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impl<T, R, C> Zero for Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>
where R: DimName, C: DimName, T: Scalar + Zero + ClosedAdd, DefaultAllocator: Allocator<T, R, C>,

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fn zero() -> Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>

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fn is_zero(&self) -> bool

Implementors§