Struct RealSqrtm1mx2 

pub struct RealSqrtm1mx2(pub bool);

The real part of √(-1 - x²), or of its principal value at a complex z, negated where the flag is set, as a function object: 0 for every real x, whose 8○ is imaginary. The real part of 8○, and of 8○⁻¹ with the flag.

Tuple Fields

0: bool

Trait Implementations

impl Clone for RealSqrtm1mx2

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for RealSqrtm1mx2

impl Debug for RealSqrtm1mx2

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

Formats the value using the given formatter.

impl Formula<1> for RealSqrtm1mx2

fn result_dtype(&self, dtype: DType) -> DType

fn range(&self, _: [Range; 1]) -> Range

fn supports(&self, dtype: DType) -> bool

fn emit_partials<F: Float, O: Ops<F> + ?Sized>( &self, o: &O, [_]: [O::V; 1], _: O::V, [need]: [bool; 1], ) -> [Option<O::V>; 1]

fn complex<F: Native>( &self, _: &NativeOps<{ crate::FUSED }>, [x]: [Complex<F>; 1], ) -> Option<Complex<F>>

fn real<F: Native>( &self, _: &NativeOps<{ crate::FUSED }>, [x]: [F; 1], ) -> Option<F>

fn native_slices(&self) -> Option<NativeSlices<Self, $n>>

const BOOLEAN: 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.

const HAS_EXACT: bool = false

Whether exact computes this formula on rationals.

const INTEGER_FORMULA: bool = false

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.

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 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 exact(&self, _args: [&BigRational; N]) -> Result<Option<BigRational>, Error>

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 identity(&self) -> [Option<f64>; N]

fn fold(&self) -> Option<Reduce>

fn inverse_fold(&self) -> Option<Reduce>

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>

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<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> Option<O::V>

fn emit_test<F: Float, O: Ops<F> + ?Sized>( &self, _o: &O, _x: [O::V; N], ) -> 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.

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 emit_valid<F: Float, O: Ops<F> + ?Sized>( &self, _variant: Variant, o: &O, x: [O::V; N], result: O::V, ) -> Option<(Kind, O::B)>

fn integer<I: Overflowing>(&self, _ops: &IntegerOps<I>, _x: [I; N]) -> Option<I>

const REAL_COMPLEX: bool = false

Whether real_complex gives this formula’s complex results from real arguments.

fn real_complex<F: Native>( &self, _ops: &NativeOps<{ crate::FUSED }>, _x: [F; N], ) -> Option<Complex<F>>

The complex result from real arguments, where that costs less than from the arguments as complex numbers. None sends the item to complex.