pub struct FloorDivide(pub Tolerance);Expand description
The tolerant floor of rounded x ÷ y, as a formula object. A float quotient never fails. Integers divide exactly, give a zero divisor the type’s limit of the dividend’s sign, and fail on an overflowing quotient.
Tuple Fields§
§0: ToleranceTrait Implementations§
Source§impl Clone for FloorDivide
impl Clone for FloorDivide
impl Copy for FloorDivide
Source§impl Debug for FloorDivide
impl Debug for FloorDivide
Source§impl Formula<2> for FloorDivide
impl Formula<2> for FloorDivide
Source§const INTEGER_FORMULA: bool = true
const INTEGER_FORMULA: bool = true
Whether
integer runs this formula’s emit on integers, so that range arithmetic over emit_valid bounds an integer kernel’s failures (may_raise). A row with a native_integer body supports integers and leaves this false.fn exact(&self, [x, y]: [&BigRational; 2]) -> Result<Option<BigRational>, Error>
fn identity(&self) -> [Option<f64>; 2]
fn supports(&self, dtype: DType) -> bool
fn emit<F: Float, O: Ops<F> + ?Sized>( &self, o: &O, [x, y]: [O::V; 2], ) -> Option<O::V>
fn emit_partials<F: Float, O: Ops<F> + ?Sized>( &self, o: &O, [_, _]: [O::V; 2], _: O::V, [nx, ny]: [bool; 2], ) -> [Option<O::V>; 2]
fn integer<I: Overflowing>(&self, o: &IntegerOps<I>, x: [I; 2]) -> Option<I>
fn emit_valid<F: Float, O: Ops<F> + ?Sized>( &self, v: Variant, o: &O, [x, y]: [O::V; 2], _: O::V, ) -> Option<(Kind, O::B)>
fn native_slices(&self) -> Option<NativeSlices<Self, $n>>
const BOOLEAN: bool = false
Source§const FAILS_NAN: bool = false
const FAILS_NAN: bool = false
Whether a NaN result from arguments that aren’t NaN is a Domain error, which the default
emit_valid checks (nan_valid). A constant, so a checked loop over items reads it at compile time and never calls a method for it.Source§const MAP_ONLY: bool = false
const MAP_ONLY: bool = false
Whether kernels of this formula only map. Modified writes, folds, scans and walks of adjacent items build no code for it: each refuses it at compile time, as it refuses a formula of another arity. A derivative’s slope (
derivative::Slope) only maps.fn result_dtype(&self, input: DType) -> DType
fn computing_dtype(&self, input: DType) -> Option<DType>
fn character_rule(&self) -> Option<Rule>
fn ordered_kinds(&self, [x, y]: [i32; 2]) -> Option<i32>
fn character_policy(&self, types: [DType; 2]) -> Result<Option<Policy>, Error>
fn range(&self, _args: [Range; N]) -> Range
Source§fn domain(&self, _dtype: DType, _args: [Range; N]) -> Option<[Range; N]>
fn domain(&self, _dtype: DType, _args: [Range; N]) -> Option<[Range; N]>
A box at the computing dtype containing args on which graph-numeric results do not raise a data error.
fn fold(&self) -> Option<Reduce>
fn inverse_fold(&self) -> Option<Reduce>
Source§fn truth_table(&self) -> Option<u8>
fn truth_table(&self) -> Option<u8>
The function’s results on Booleans, as bits: bit
2x+y for two arguments, bit x for one. A Boolean kernel computes by it (operation::map_truth).fn truth(&self) -> Option<Reduce>
Source§fn same(&self, _arg: Range) -> Option<Range>
fn same(&self, _arg: Range) -> Option<Range>
Refines the real result interval when both operands denote the same value.
fn reads(&self) -> Reads
fn emit_test<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::B>
Source§fn emit_against<F: Float, O: Ops<F> + ?Sized>(
&self,
_o: &O,
_c: F,
_v: O::V,
_left: bool,
) -> Option<O::B>
fn emit_against<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _c: F, _v: O::V, _left: bool, ) -> Option<O::B>
This comparison of
v with the one number c through o, where that has a cheaper recipe than comparing item by item, as a held constant has. left says whether v is the left argument. None for other formulas.Source§fn bands(&self) -> Option<(Tolerance, Band, Band)>
fn bands(&self) -> Option<(Tolerance, Band, Band)>
This comparison’s tolerance, and the bands that an item on the left and on the right of one number must lie in (
tolerant::Banding), through which it compares many items with one number (tolerant::against). None for other formulas.fn emit_repair<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::B>
fn repair_routine(&self) -> Option<Repair>
fn real<F: Native>( &self, ops: &NativeOps<{ crate::FUSED }>, x: [F; N], ) -> Option<F>
fn complex<F: Native>( &self, _ops: &NativeOps<{ crate::FUSED }>, _x: [Complex<F>; N], ) -> Option<Complex<F>>
Source§const REAL_COMPLEX: bool = false
const REAL_COMPLEX: bool = false
Whether
real_complex gives this formula’s complex results from real arguments.Source§impl PartialEq for FloorDivide
impl PartialEq for FloorDivide
impl StructuralPartialEq for FloorDivide
Auto Trait Implementations§
impl Forget for FloorDivide
impl Freeze for FloorDivide
impl RefUnwindSafe for FloorDivide
impl Send for FloorDivide
impl Sync for FloorDivide
impl Unpin for FloorDivide
impl UnsafeUnpin for FloorDivide
impl UnwindSafe for FloorDivide
Blanket Implementations§
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
impl<ST, DT> CastableFrom<ST, Initialized, Initialized> for DT
impl<ST, DT> CastableFrom<ST, Uninit, Uninit> for DT
Source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
Source§impl<T> IntoEither for T
impl<T> IntoEither for T
Source§fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
Converts
self into a Left variant of Either<Self, Self>
if into_left is true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read moreSource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
Converts
self into a Left variant of Either<Self, Self>
if into_left(&self) returns true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read more