Struct elliptic_curve::consts::Z0

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pub struct Z0;

Expand description

The type-level signed integer 0.

Implementations

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impl Z0

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pub fn new() -> Z0

Instantiates a singleton representing the integer 0.

Trait Implementations

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impl Abs for Z0

type Output = Z0

The absolute value.

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impl Add for Z0 where
I: Integer,

Z0 + I = I

type Output = I

The resulting type after applying the + operator.

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fn add(self, rhs: I) -> <Z0 as Add>::Output

Performs the + operation. Read more

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impl Add<Z0> for NInt where
U: Unsigned + NonZero,

NInt + Z0 = NInt

type Output = NInt

The resulting type after applying the + operator.

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fn add(self, Z0) -> <NInt as Add<Z0>>::Output

Performs the + operation. Read more

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impl Add<Z0> for PInt where
U: Unsigned + NonZero,

PInt + Z0 = PInt

type Output = PInt

The resulting type after applying the + operator.

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fn add(self, Z0) -> <PInt as Add<Z0>>::Output

Performs the + operation. Read more

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impl Clone for Z0

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fn clone(&self) -> Z0

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

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impl Cmp<NInt> for Z0 where
U: Unsigned + NonZero,

0 > -X

type Output = Greater

The result of the comparison. It should only ever be one of Greater, Less, or Equal.

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impl Cmp<PInt> for Z0 where
U: Unsigned + NonZero,

0 < X

type Output = Less

The result of the comparison. It should only ever be one of Greater, Less, or Equal.

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impl Cmp<Z0> for Z0

0 == 0

type Output = Equal

The result of the comparison. It should only ever be one of Greater, Less, or Equal.

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impl Debug for Z0

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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 Default for Z0

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fn default() -> Z0

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

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impl Div for Z0 where
I: Integer + NonZero,

Z0 / I = Z0 where I != 0

type Output = Z0

The resulting type after applying the / operator.

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fn div(self, I) -> <Z0 as Div>::Output

Performs the / operation. Read more

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impl Gcd<NInt> for Z0 where
U: Unsigned + NonZero,

type Output = PInt

The greatest common divisor.

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impl Gcd<PInt> for Z0 where
U: Unsigned + NonZero,

type Output = PInt

The greatest common divisor.

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impl Gcd<Z0> for Z0

type Output = Z0

The greatest common divisor.

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impl Hash for Z0

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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,

Feeds a slice of this type into the given Hasher. Read more

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impl Max<NInt> for Z0 where
U: Unsigned + NonZero,

type Output = Z0

The type of the maximum of Self and Rhs

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fn max(self, NInt) -> <Z0 as Max<NInt>>::Output

Method returning the maximum

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impl Max<PInt> for Z0 where
U: Unsigned + NonZero,

type Output = PInt

The type of the maximum of Self and Rhs

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fn max(self, rhs: PInt) -> <Z0 as Max<PInt>>::Output

Method returning the maximum

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impl Max<Z0> for Z0

type Output = Z0

The type of the maximum of Self and Rhs

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fn max(self, Z0) -> <Z0 as Max<Z0>>::Output

Method returning the maximum

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impl Min<NInt> for Z0 where
U: Unsigned + NonZero,

type Output = NInt

The type of the minimum of Self and Rhs

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fn min(self, rhs: NInt) -> <Z0 as Min<NInt>>::Output

Method returning the minimum

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impl Min<PInt> for Z0 where
U: Unsigned + NonZero,

type Output = Z0

The type of the minimum of Self and Rhs

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fn min(self, PInt) -> <Z0 as Min<PInt>>::Output

Method returning the minimum

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impl Min<Z0> for Z0

type Output = Z0

The type of the minimum of Self and Rhs

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fn min(self, Z0) -> <Z0 as Min<Z0>>::Output

Method returning the minimum

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impl Mul<ATerm> for Z0

type Output = ATerm

The resulting type after applying the * operator.

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fn mul(self, ATerm) -> <Z0 as Mul<ATerm>>::Output

Performs the * operation. Read more

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impl Mul for Z0 where
I: Integer,

Z0 * I = Z0

type Output = Z0

The resulting type after applying the * operator.

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fn mul(self, I) -> <Z0 as Mul>::Output

Performs the * operation. Read more

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impl<V, A> Mul<TArr<V, A>> for Z0 where
Z0: Mul<A>,

type Output = TArr<Z0, <Z0 as Mul<A>>::Output>

The resulting type after applying the * operator.

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fn mul(self, rhs: TArr<V, A>) -> <Z0 as Mul<TArr<V, A>>>::Output

Performs the * operation. Read more

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impl Mul<Z0> for NInt where
U: Unsigned + NonZero,

N * Z0 = Z0

type Output = Z0

The resulting type after applying the * operator.

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fn mul(self, Z0) -> <NInt as Mul<Z0>>::Output

Performs the * operation. Read more

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impl Mul<Z0> for PInt where
U: Unsigned + NonZero,

P * Z0 = Z0

type Output = Z0

The resulting type after applying the * operator.

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fn mul(self, Z0) -> <PInt as Mul<Z0>>::Output

Performs the * operation. Read more

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impl Neg for Z0

-Z0 = Z0

type Output = Z0

The resulting type after applying the - operator.

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fn neg(self) -> <Z0 as Neg>::Output

Performs the unary - operation. Read more

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impl Ord for Z0

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fn cmp(&self, other: &Z0) -> Ordering

This method returns an Ordering between self and other. Read more

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

Compares and returns the maximum of two values. Read more

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

Compares and returns the minimum of two values. Read more

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

Restrict a value to a certain interval. Read more

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impl PartialEq<Z0> for Z0

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fn eq(&self, other: &Z0) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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

This method tests for !=.

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impl PartialOrd<Z0> for Z0

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fn partial_cmp(&self, other: &Z0) -> Option<Ordering>

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

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

This method tests less than (for self and other) and is used by the < operator. Read more

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

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

1.0.0 · source

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

This method tests greater than (for self and other) and is used by the > operator. Read more

1.0.0 · source

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

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

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impl Pow<NInt> for Z0 where
U: Unsigned + NonZero,

0^N = 0

type Output = Z0

The result of the exponentiation.

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fn powi(self, NInt) -> <Z0 as Pow<NInt>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more

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impl Pow<PInt> for Z0 where
U: Unsigned + NonZero,

0^P = 0

type Output = Z0

The result of the exponentiation.

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fn powi(self, PInt) -> <Z0 as Pow<PInt>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more

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impl Pow<Z0> for Z0

0^0 = 1

type Output = PInt<UInt<UTerm, B1>>

The result of the exponentiation.

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fn powi(self, Z0) -> <Z0 as Pow<Z0>>::Output

This function isn’t used in this crate, but may be useful for others. It is implemented for primitives. Read more

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impl Rem for Z0 where
I: Integer + NonZero,

Z0 % I = Z0 where I != 0

type Output = Z0

The resulting type after applying the % operator.

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fn rem(self, I) -> <Z0 as Rem>::Output

Performs the % operation. Read more

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impl Sub<NInt> for Z0 where
U: Unsigned + NonZero,

Z0 - N = P

type Output = PInt

The resulting type after applying the - operator.

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fn sub(self, NInt) -> <Z0 as Sub<NInt>>::Output

Performs the - operation. Read more

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impl Sub<PInt> for Z0 where
U: Unsigned + NonZero,

Z0 - P = N

type Output = NInt

The resulting type after applying the - operator.

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fn sub(self, PInt) -> <Z0 as Sub<PInt>>::Output

Performs the - operation. Read more

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impl Sub<Z0> for NInt where
U: Unsigned + NonZero,

NInt - Z0 = NInt

type Output = NInt

The resulting type after applying the - operator.

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fn sub(self, Z0) -> <NInt as Sub<Z0>>::Output

Performs the - operation. Read more

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impl Sub<Z0> for PInt where
U: Unsigned + NonZero,

PInt - Z0 = PInt

type Output = PInt

The resulting type after applying the - operator.

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fn sub(self, Z0) -> <PInt as Sub<Z0>>::Output

Performs the - operation. Read more

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impl Sub<Z0> for Z0

Z0 - Z0 = Z0

type Output = Z0

The resulting type after applying the - operator.

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fn sub(self, Z0) -> <Z0 as Sub<Z0>>::Output

Performs the - operation. Read more

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impl ToInt<i16> for Z0

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fn to_int() -> i16

Method returning the concrete value for the type.

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impl ToInt<i32> for Z0

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fn to_int() -> i32

Method returning the concrete value for the type.

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impl ToInt<i64> for Z0

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fn to_int() -> i64

Method returning the concrete value for the type.

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impl ToInt<i8> for Z0

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fn to_int() -> i8

Method returning the concrete value for the type.

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impl Copy for Z0

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impl Eq for Z0

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impl StructuralEq for Z0

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impl StructuralPartialEq for Z0

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impl Zero for Z0

Auto Trait Implementations

impl RefUnwindSafe for Z0

impl Send for Z0

impl Sync for Z0

impl Unpin for Z0

impl UnwindSafe for Z0

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,

const: unstable · source

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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

impl<T> Conv for T

fn conv<T>(self) -> T where
Self: Into<T>,

Converts self into T using Into<T>. Read more

impl<T> FmtForward for T

fn fmt_binary(self) -> FmtBinary<Self> where
Self: Binary,

Causes self to use its Binary implementation when Debug-formatted. Read more

fn fmt_display(self) -> FmtDisplay<Self> where
Self: Display,

Causes self to use its Display implementation when Debug-formatted. Read more

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

Causes self to use its LowerExp implementation when Debug-formatted. Read more

fn fmt_lower_hex(self) -> FmtLowerHex<Self> where
Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted. Read more

fn fmt_octal(self) -> FmtOctal<Self> where
Self: Octal,

Causes self to use its Octal implementation when Debug-formatted. Read more

fn fmt_pointer(self) -> FmtPointer<Self> where
Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted. Read more

fn fmt_upper_exp(self) -> FmtUpperExp<Self> where
Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted. Read more

fn fmt_upper_hex(self) -> FmtUpperHex<Self> where
Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted. Read more

fn fmt_list(self) -> FmtList<Self> where
&'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source

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<M, N> PartialDiv<N> for M where
M: Integer + Div<N> + Rem<N, Output = Z0>,

type Output = <M as Div<N>>::Output

The type of the result of the division

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fn partial_div(self, rhs: N) -> <M as PartialDiv<N>>::Output

Method for performing the division

impl<T> Pipe for T where
T: ?Sized,

fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R

Pipes by value. This is generally the method you want to use. Read more

fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R where
R: 'a,

Borrows self and passes that borrow into the pipe function. Read more

fn pipe_ref_mut<'a, R>(&'a mut self, func: impl FnOnce(&'a mut Self) -> R) -> R where
R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more

fn pipe_borrow<'a, B, R>(&'a self, func: impl FnOnce(&'a B) -> R) -> R where
 Self: Borrow,
 B: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more

fn pipe_borrow_mut<'a, B, R>(
 &'a mut self,
 func: impl FnOnce(&'a mut B) -> R
) -> R where
 Self: BorrowMut,
 B: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more

fn pipe_as_ref<'a, U, R>(&'a self, func: impl FnOnce(&'a U) -> R) -> R where
 Self: AsRef,
 U: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.

fn pipe_as_mut<'a, U, R>(&'a mut self, func: impl FnOnce(&'a mut U) -> R) -> R where
 Self: AsMut,
 U: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.as_mut() into the pipe function. Read more

fn pipe_deref<'a, T, R>(&'a self, func: impl FnOnce(&'a T) -> R) -> R where
 Self: Deref<Target = T>,
 T: 'a + ?Sized,
 R: 'a,

Borrows self, then passes self.deref() into the pipe function.

fn pipe_deref_mut<'a, T, R>(&'a mut self, func: impl FnOnce(&'a mut T) -> R) -> R where
 Self: DerefMut<Target = T> + Deref,
 T: 'a + ?Sized,
 R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function. Read more

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impl<T> Same<T> for T

type Output = T

Should always be Self

impl<T> Tap for T

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

Immutable access to a value. Read more

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

Mutable access to a value. Read more

fn tap_borrow(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Immutable access to the Borrow of a value. Read more

fn tap_borrow_mut(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Mutable access to the BorrowMut of a value. Read more

fn tap_ref<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

Immutable access to the AsRef<R> view of a value. Read more

fn tap_ref_mut<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

Mutable access to the AsMut<R> view of a value. Read more

fn tap_deref<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Immutable access to the Deref::Target of a value. Read more

fn tap_deref_mut<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Mutable access to the Deref::Target of a value. Read more

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

Calls .tap() only in debug builds, and is erased in release builds.

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

Calls .tap_mut() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_dbg(self, func: impl FnOnce(&B)) -> Self where
Self: Borrow,
B: ?Sized,

Calls .tap_borrow() only in debug builds, and is erased in release builds. Read more

fn tap_borrow_mut_dbg(self, func: impl FnOnce(&mut B)) -> Self where
Self: BorrowMut,
B: ?Sized,

Calls .tap_borrow_mut() only in debug builds, and is erased in release builds. Read more

fn tap_ref_dbg<R>(self, func: impl FnOnce(&R)) -> Self where
Self: AsRef<R>,
R: ?Sized,

Calls .tap_ref() only in debug builds, and is erased in release builds. Read more

fn tap_ref_mut_dbg<R>(self, func: impl FnOnce(&mut R)) -> Self where
Self: AsMut<R>,
R: ?Sized,

Calls .tap_ref_mut() only in debug builds, and is erased in release builds. Read more

fn tap_deref_dbg<T>(self, func: impl FnOnce(&T)) -> Self where
Self: Deref<Target = T>,
T: ?Sized,

Calls .tap_deref() only in debug builds, and is erased in release builds. Read more

fn tap_deref_mut_dbg<T>(self, func: impl FnOnce(&mut T)) -> Self where
Self: DerefMut<Target = T> + Deref,
T: ?Sized,

Calls .tap_deref_mut() only in debug builds, and is erased in release builds. Read more

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

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

impl<T> TryConv for T

fn try_conv<T>(self) -> Result<T, Self::Error> where
Self: TryInto<T>,

Attempts to convert self into T using TryInto<T>. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

Struct elliptic_curve::consts::Z0

Implementations

impl Z0

pub fn new() -> Z0

Trait Implementations

impl Abs for Z0

type Output = Z0

impl<I> Add<I> for Z0 where I: Integer,

type Output = I

fn add(self, rhs: I) -> <Z0 as Add<I>>::Output

impl<U> Add<Z0> for NInt<U> where U: Unsigned + NonZero,

type Output = NInt<U>

fn add(self, Z0) -> <NInt<U> as Add<Z0>>::Output

impl<U> Add<Z0> for PInt<U> where U: Unsigned + NonZero,

type Output = PInt<U>

fn add(self, Z0) -> <PInt<U> as Add<Z0>>::Output

impl Clone for Z0

fn clone(&self) -> Z0

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

impl<U> Cmp<NInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = Greater

impl<U> Cmp<PInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = Less

impl Cmp<Z0> for Z0

type Output = Equal

impl Debug for Z0

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

impl Default for Z0

fn default() -> Z0

impl<I> Div<I> for Z0 where I: Integer + NonZero,

type Output = Z0

fn div(self, I) -> <Z0 as Div<I>>::Output

impl<U> Gcd<NInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = PInt<U>

impl<U> Gcd<PInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = PInt<U>

impl Gcd<Z0> for Z0

type Output = Z0

impl Hash for Z0

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

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

impl Integer for Z0

const I8: i8 = 0i8

const I16: i16 = 0i16

const I32: i32 = 0i32

const I64: i64 = 0i64

const ISIZE: isize = 0isize

fn to_i8() -> i8

fn to_i16() -> i16

fn to_i32() -> i32

fn to_i64() -> i64

fn to_isize() -> isize

impl<U> Max<NInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = Z0

fn max(self, NInt<U>) -> <Z0 as Max<NInt<U>>>::Output

impl<U> Max<PInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = PInt<U>

fn max(self, rhs: PInt<U>) -> <Z0 as Max<PInt<U>>>::Output

impl Max<Z0> for Z0

type Output = Z0

fn max(self, Z0) -> <Z0 as Max<Z0>>::Output

impl<U> Min<NInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = NInt<U>

fn min(self, rhs: NInt<U>) -> <Z0 as Min<NInt<U>>>::Output

impl<U> Min<PInt<U>> for Z0 where U: Unsigned + NonZero,

type Output = Z0

fn min(self, PInt<U>) -> <Z0 as Min<PInt<U>>>::Output

impl Min<Z0> for Z0

type Output = Z0

fn min(self, Z0) -> <Z0 as Min<Z0>>::Output

impl Mul<ATerm> for Z0

type Output = ATerm

fn mul(self, ATerm) -> <Z0 as Mul<ATerm>>::Output

impl<I> Mul<I> for Z0 where I: Integer,

type Output = Z0

fn mul(self, I) -> <Z0 as Mul<I>>::Output

impl<V, A> Mul<TArr<V, A>> for Z0 where Z0: Mul<A>,

type Output = TArr<Z0, <Z0 as Mul<A>>::Output>

fn mul(self, rhs: TArr<V, A>) -> <Z0 as Mul<TArr<V, A>>>::Output

impl<U> Mul<Z0> for NInt<U> where U: Unsigned + NonZero,

impl<I> Add<I> for Z0 where
I: Integer,

impl<U> Add<Z0> for NInt<U> where
U: Unsigned + NonZero,

impl<U> Add<Z0> for PInt<U> where
U: Unsigned + NonZero,

impl<U> Cmp<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Cmp<PInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<I> Div<I> for Z0 where
I: Integer + NonZero,

impl<U> Gcd<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Gcd<PInt<U>> for Z0 where
U: Unsigned + NonZero,

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

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

impl<U> Max<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Max<PInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Min<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Min<PInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<I> Mul<I> for Z0 where
I: Integer,

impl<V, A> Mul<TArr<V, A>> for Z0 where
Z0: Mul<A>,

impl<U> Mul<Z0> for NInt<U> where
U: Unsigned + NonZero,

impl<U> Mul<Z0> for PInt<U> where
U: Unsigned + NonZero,

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

impl<U> Pow<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Pow<PInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<I> Rem<I> for Z0 where
I: Integer + NonZero,

impl<U> Sub<NInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Sub<PInt<U>> for Z0 where
U: Unsigned + NonZero,

impl<U> Sub<Z0> for NInt<U> where
U: Unsigned + NonZero,

impl<U> Sub<Z0> for PInt<U> where
U: Unsigned + NonZero,