Struct Symbolic

pub struct Symbolic;

Implementations

impl Symbolic

pub fn materialize(n: usize) -> &'static mut [Self]

Trait Implementations

impl Add for Symbolic

type Output = Symbolic

The resulting type after applying the + operator.

fn add(self, _: Self) -> Self

Performs the + operation.

impl AddAssign for Symbolic

fn add_assign(&mut self, _: Self)

Performs the += operation.

impl Clone for Symbolic

fn clone(&self) -> Symbolic

Returns a copy of the value.

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

Performs copy-assignment from source.

impl ComplexField for Symbolic

type Real = Symbolic

type Simd = NoSimd

type ScalarSimd = NoSimd

type PortableSimd = NoSimd

fn faer_from_f64(_value: f64) -> Self

Converts value from f64 to Self.
The conversion may be lossy when converting to a type with less precision.

fn faer_add(self, _rhs: Self) -> Self

Returns self + rhs.

fn faer_sub(self, _rhs: Self) -> Self

Returns self - rhs.

fn faer_mul(self, _rhs: Self) -> Self

Returns self * rhs.

fn faer_neg(self) -> Self

Returns -self.

fn faer_inv(self) -> Self

Returns 1.0/self.

fn faer_conj(self) -> Self

Returns conjugate(self).

fn faer_sqrt(self) -> Self

Returns the square root of self.

fn faer_scale_real(self, _rhs: Self::Real) -> Self

Returns the input, scaled by rhs.

fn faer_scale_power_of_two(self, _rhs: Self::Real) -> Self

Returns the input, scaled by rhs.

fn faer_score(self) -> Self::Real

Returns either the norm or squared norm of the number.

fn faer_abs(self) -> Self::Real

Returns the absolute value of self.

fn faer_abs2(self) -> Self::Real

Returns the squared absolute value of self.

fn faer_nan() -> Self

Returns a NaN value.

fn faer_from_real(_real: Self::Real) -> Self

Returns a complex number whose real part is equal to real, and a zero imaginary part.

fn faer_real(self) -> Self::Real

Returns the real part.

fn faer_imag(self) -> Self::Real

Returns the imaginary part.

fn faer_zero() -> Self

Returns 0.0.

fn faer_one() -> Self

Returns 1.0.

fn faer_align_offset<S: Simd>( _simd: S, _ptr: *const UnitFor<Self>, len: usize, ) -> Offset<SimdMaskFor<Self, S>>

fn faer_slice_as_aligned_simd<S: Simd>( _simd: S, slice: &[UnitFor<Self>], _offset: Offset<SimdMaskFor<Self, S>>, ) -> (Self::PrefixUnit<'_, S>, &[SimdUnitFor<Self, S>], Self::SuffixUnit<'_, S>)

fn faer_slice_as_aligned_simd_mut<S: Simd>( _simd: S, slice: &mut [UnitFor<Self>], _offset: Offset<SimdMaskFor<Self, S>>, ) -> (Self::PrefixMutUnit<'_, S>, &mut [SimdUnitFor<Self, S>], Self::SuffixMutUnit<'_, S>)

fn faer_slice_as_simd<S: Simd>( slice: &[Self::Unit], ) -> (&[Self::SimdUnit<S>], &[Self::Unit])

fn faer_slice_as_simd_mut<S: Simd>( slice: &mut [Self::Unit], ) -> (&mut [Self::SimdUnit<S>], &mut [Self::Unit])

fn faer_partial_load_unit<S: Simd>( _simd: S, _slice: &[Self::Unit], ) -> Self::SimdUnit<S>

fn faer_partial_store_unit<S: Simd>( _simd: S, _slice: &mut [Self::Unit], _values: Self::SimdUnit<S>, )

fn faer_partial_load_last_unit<S: Simd>( _simd: S, _slice: &[Self::Unit], ) -> Self::SimdUnit<S>

fn faer_partial_store_last_unit<S: Simd>( _simd: S, _slice: &mut [Self::Unit], _values: Self::SimdUnit<S>, )

fn faer_simd_splat_unit<S: Simd>( _simd: S, _unit: Self::Unit, ) -> Self::SimdUnit<S>

fn faer_simd_scalar_mul<S: Simd>(_simd: S, _lhs: Self, _rhs: Self) -> Self

fn faer_simd_scalar_conj_mul<S: Simd>(_simd: S, _lhs: Self, _rhs: Self) -> Self

fn faer_simd_scalar_mul_adde<S: Simd>( _simd: S, _lhs: Self, _rhs: Self, _acc: Self, ) -> Self

fn faer_simd_scalar_conj_mul_adde<S: Simd>( _simd: S, _lhs: Self, _rhs: Self, _acc: Self, ) -> Self

fn faer_simd_neg<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_conj<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_rotate_left<S: Simd>( _simd: S, values: SimdGroupFor<Self, S>, _amount: usize, ) -> SimdGroupFor<Self, S>

fn faer_simd_add<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_sub<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_mul<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_scale_real<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self::Real, S>, _rhs: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_conj_mul<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_mul_adde<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, _acc: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_conj_mul_adde<S: Simd>( _simd: S, _lhs: SimdGroupFor<Self, S>, _rhs: SimdGroupFor<Self, S>, _acc: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_abs2_adde<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, _acc: SimdGroupFor<Self::Real, S>, ) -> SimdGroupFor<Self::Real, S>

fn faer_simd_abs2<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self::Real, S>

fn faer_simd_score<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self::Real, S>

fn faer_is_nan(&self) -> bool

Returns true if self is a NaN value, or false otherwise.

fn faer_is_finite(&self) -> bool

Returns true if self is a NaN value, or false otherwise.

fn faer_partial_load<S: Simd>( simd: S, slice: GroupFor<Self, &[UnitFor<Self>]>, ) -> SimdGroupFor<Self, S>

fn faer_partial_store<S: Simd>( simd: S, slice: GroupFor<Self, &mut [UnitFor<Self>]>, values: SimdGroupFor<Self, S>, )

fn faer_partial_load_last<S: Simd>( simd: S, slice: GroupFor<Self, &[UnitFor<Self>]>, ) -> SimdGroupFor<Self, S>

fn faer_partial_store_last<S: Simd>( simd: S, slice: GroupFor<Self, &mut [UnitFor<Self>]>, values: SimdGroupFor<Self, S>, )

fn faer_simd_splat<S: Simd>(simd: S, value: Self) -> SimdGroupFor<Self, S>

fn faer_simd_reduce_add<S: Simd>(simd: S, values: SimdGroupFor<Self, S>) -> Self

impl Conjugate for Symbolic

type Conj = Symbolic

Must have the same layout as Self, and Conj::Unit must have the same layout as Unit.

type Canonical = Symbolic

Must have the same layout as Self, and Canonical::Unit must have the same layout as Unit.

fn canonicalize(self) -> Self::Canonical

Performs the implicit conjugation operation on the given value, returning the canonical form.

const IS_CANONICAL: bool = true

impl Debug for Symbolic

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

Formats the value using the given formatter.

impl Div for Symbolic

type Output = Symbolic

The resulting type after applying the / operator.

fn div(self, _: Self) -> Self

Performs the / operation.

impl DivAssign for Symbolic

fn div_assign(&mut self, _: Self)

Performs the /= operation.

impl Entity for Symbolic

const N_COMPONENTS: usize = 1usize

const UNIT: GroupCopyFor<Self, ()> = ()

type Unit = Symbolic

type Index = usize

type SimdUnit<S: Simd> = Symbolic

type SimdMask<S: Simd> = bool

type SimdIndex<S: Simd> = usize

type Group = IdentityGroup

type Iter<I: Iterator> = I

type PrefixUnit<'a, S: Simd> = &'a [Symbolic]

type SuffixUnit<'a, S: Simd> = &'a [Symbolic]

type PrefixMutUnit<'a, S: Simd> = &'a mut [Symbolic]

type SuffixMutUnit<'a, S: Simd> = &'a mut [Symbolic]

fn faer_first<T>(group: GroupFor<Self, T>) -> T

fn faer_from_units(group: GroupFor<Self, Self::Unit>) -> Self

fn faer_into_units(self) -> GroupFor<Self, Self::Unit>

fn faer_as_ref<T>(group: &GroupFor<Self, T>) -> GroupFor<Self, &T>

fn faer_as_mut<T>(group: &mut GroupFor<Self, T>) -> GroupFor<Self, &mut T>

fn faer_as_ptr<T>(group: *mut GroupFor<Self, T>) -> GroupFor<Self, *mut T>

fn faer_map_impl<T, U>( group: GroupFor<Self, T>, f: &mut impl FnMut(T) -> U, ) -> GroupFor<Self, U>

fn faer_zip<T, U>( first: GroupFor<Self, T>, second: GroupFor<Self, U>, ) -> GroupFor<Self, (T, U)>

fn faer_unzip<T, U>( zipped: GroupFor<Self, (T, U)>, ) -> (GroupFor<Self, T>, GroupFor<Self, U>)

fn faer_map_with_context<Ctx, T, U>( ctx: Ctx, group: GroupFor<Self, T>, f: &mut impl FnMut(Ctx, T) -> (Ctx, U), ) -> (Ctx, GroupFor<Self, U>)

fn faer_into_iter<I: IntoIterator>( iter: GroupFor<Self, I>, ) -> Self::Iter<I::IntoIter>

const IS_REAL: bool = true

fn faer_map<T, U>( group: GroupFor<Self, T>, f: impl FnMut(T) -> U, ) -> GroupFor<Self, U>

fn faer_unzip2<T>(zipped: GroupFor<Self, [T; 2]>) -> [GroupFor<Self, T>; 2]

fn faer_unzip4<T>(zipped: GroupFor<Self, [T; 4]>) -> [GroupFor<Self, T>; 4]

fn faer_unzip8<T>(zipped: GroupFor<Self, [T; 8]>) -> [GroupFor<Self, T>; 8]

fn faer_as_arrays<const N: usize, T>( group: GroupFor<Self, &[T]>, ) -> (GroupFor<Self, &[[T; N]]>, GroupFor<Self, &[T]>)

fn faer_as_arrays_mut<const N: usize, T>( group: GroupFor<Self, &mut [T]>, ) -> (GroupFor<Self, &mut [[T; N]]>, GroupFor<Self, &mut [T]>)

fn faer_deref<T: Copy>(group: GroupFor<Self, &T>) -> GroupFor<Self, T>

fn faer_rb<'short, T: Reborrow<'short>>( value: GroupFor<Self, &'short T>, ) -> GroupFor<Self, T::Target>

fn faer_rb_mut<'short, T: ReborrowMut<'short>>( value: GroupFor<Self, &'short mut T>, ) -> GroupFor<Self, T::Target>

fn faer_into_const<T: IntoConst>( value: GroupFor<Self, T>, ) -> GroupFor<Self, T::Target>

fn faer_copy<T: Copy>(x: &GroupFor<Self, T>) -> GroupFor<Self, T>

impl Mul for Symbolic

type Output = Symbolic

The resulting type after applying the * operator.

fn mul(self, _: Self) -> Self

Performs the * operation.

impl MulAssign for Symbolic

fn mul_assign(&mut self, _: Self)

Performs the *= operation.

impl Neg for Symbolic

type Output = Symbolic

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl Num for Symbolic

type FromStrRadixErr = ()

fn from_str_radix(_: &str, _: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36).

impl One for Symbolic

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

where Self: PartialEq,

Returns true if self is equal to the multiplicative identity.

impl Ord for Symbolic

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

This method returns an Ordering between self and other.

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

where Self: Sized,

Compares and returns the maximum of two values.

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

where Self: Sized,

Compares and returns the minimum of two values.

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

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Symbolic

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Symbolic

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

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

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

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

impl RealField for Symbolic

fn faer_epsilon() -> Self

fn faer_zero_threshold() -> Self

fn faer_div(self, _rhs: Self) -> Self

fn faer_usize_to_index(a: usize) -> Self::Index

fn faer_index_to_usize(a: Self::Index) -> usize

fn faer_max_index() -> Self::Index

fn faer_simd_less_than<S: Simd>( _simd: S, _a: SimdGroupFor<Self, S>, _b: SimdGroupFor<Self, S>, ) -> Self::SimdMask<S>

fn faer_simd_less_than_or_equal<S: Simd>( _simd: S, _a: SimdGroupFor<Self, S>, _b: SimdGroupFor<Self, S>, ) -> Self::SimdMask<S>

fn faer_simd_greater_than<S: Simd>( _simd: S, _a: SimdGroupFor<Self, S>, _b: SimdGroupFor<Self, S>, ) -> Self::SimdMask<S>

fn faer_simd_greater_than_or_equal<S: Simd>( _simd: S, _a: SimdGroupFor<Self, S>, _b: SimdGroupFor<Self, S>, ) -> Self::SimdMask<S>

fn faer_simd_select<S: Simd>( _simd: S, _mask: Self::SimdMask<S>, _if_true: SimdGroupFor<Self, S>, _if_false: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

fn faer_simd_index_select<S: Simd>( _simd: S, mask: Self::SimdMask<S>, if_true: Self::SimdIndex<S>, if_false: Self::SimdIndex<S>, ) -> Self::SimdIndex<S>

fn faer_simd_index_seq<S: Simd>(_simd: S) -> Self::SimdIndex<S>

fn faer_simd_index_splat<S: Simd>( _simd: S, value: Self::Index, ) -> Self::SimdIndex<S>

fn faer_simd_index_add<S: Simd>( _simd: S, a: Self::SimdIndex<S>, b: Self::SimdIndex<S>, ) -> Self::SimdIndex<S>

fn faer_simd_index_rotate_left<S: Simd>( _simd: S, values: SimdIndexFor<Self, S>, _amount: usize, ) -> SimdIndexFor<Self, S>

fn faer_min_positive() -> Self

fn faer_min_positive_inv() -> Self

fn faer_min_positive_sqrt() -> Self

fn faer_min_positive_sqrt_inv() -> Self

fn faer_simd_abs<S: Simd>( _simd: S, _values: SimdGroupFor<Self, S>, ) -> SimdGroupFor<Self, S>

impl Rem for Symbolic

type Output = Symbolic

The resulting type after applying the % operator.

fn rem(self, _: Self) -> Self

Performs the % operation.

impl RemAssign for Symbolic

fn rem_assign(&mut self, _: Self)

Performs the %= operation.

impl Sub for Symbolic

type Output = Symbolic

The resulting type after applying the - operator.

fn sub(self, _: Self) -> Self

Performs the - operation.

impl SubAssign for Symbolic

fn sub_assign(&mut self, _: Self)

Performs the -= operation.

impl Zero for Symbolic

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

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

impl Zeroable for Symbolic

fn zeroed() -> Self

Calls zeroed.

impl Copy for Symbolic

impl Eq for Symbolic

impl Pod for Symbolic

impl StructuralPartialEq for Symbolic