[−][src]Struct hyperdual::Hyperdual
Dual Number structure
Although Dual
does implement PartialEq
and PartialOrd
,
it only compares the real part.
Additionally, min
and max
only compare the real parts, and keep the dual parts.
Lastly, the Rem
remainder operator is not correctly or fully defined for Dual
, and will panic.
Methods
impl<T: Scalar, N: Dim + DimName> Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
pub fn from_slice(v: &[T]) -> Hyperdual<T, N>
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Create a new dual number from its real and dual parts.
pub fn from_real(real: T) -> Hyperdual<T, N> where
T: Zero,
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T: Zero,
Create a new dual number from a real number.
The dual part is set to zero.
pub fn real(&self) -> T
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Returns the real part
pub fn real_ref(&self) -> &T
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Returns a reference to the real part
pub fn real_mut(&mut self) -> &mut T
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Returns a mutable reference to the real part
pub fn map_dual<F>(&self, r: T, f: F) -> Hyperdual<T, N> where
F: Fn(&T) -> T,
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F: Fn(&T) -> T,
pub fn from_fn<F>(f: F) -> Hyperdual<T, N> where
F: FnMut(usize) -> T,
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F: FnMut(usize) -> T,
Create a new dual number from a function
impl<T: Scalar + Neg<Output = T>, N: Dim + DimName> Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar> Hyperdual<T, U2>
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pub fn new(real: T, dual: T) -> Dual<T>
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pub fn dual(&self) -> T
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pub fn dual_ref(&self) -> &T
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Returns a reference to the dual part
pub fn dual_mut(&mut self) -> &mut T
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Returns a mutable reference to the dual part
Trait Implementations
impl<T: Scalar + Num, N: Dim + DimName> Add<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Self
The resulting type after applying the +
operator.
fn add(self, rhs: Self) -> Self
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impl<T: Scalar + Num, N: Dim + DimName> Add<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the +
operator.
fn add(self, rhs: T) -> Hyperdual<T, N>
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impl<T: Scalar + Num, N: Dim + DimName> AddAssign<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn add_assign(&mut self, rhs: Self)
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impl<T: Scalar + Num, N: Dim + DimName> AddAssign<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn add_assign(&mut self, rhs: T)
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impl<T: Scalar, N: Dim + DimName> AsMut<Matrix<T, N, U1, <DefaultAllocator as Allocator<T, N, U1>>::Buffer>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar, N: Dim + DimName> AsRef<Matrix<T, N, U1, <DefaultAllocator as Allocator<T, N, U1>>::Buffer>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Clone + Scalar, N: Clone + Dim + DimName> Clone for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Copy + Scalar, N: Copy + Dim + DimName> Copy for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar, N: Dim + DimName> Debug for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num + Zero, N: Dim + DimName> Default for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar, N: Dim + DimName> Deref for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Target = VectorN<T, N>
The resulting type after dereferencing.
fn deref(&self) -> &VectorN<T, N>
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impl<T: Scalar, N: Dim + DimName> DerefMut for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Display, N: Dim + DimName> Display for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num, N: Dim + DimName> Div<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Self
The resulting type after applying the /
operator.
fn div(self, rhs: Self) -> Self
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impl<T: Scalar + Num, N: Dim + DimName> Div<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the /
operator.
fn div(self, rhs: T) -> Hyperdual<T, N>
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impl<T: Scalar + Num, N: Dim + DimName> DivAssign<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn div_assign(&mut self, rhs: Self)
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impl<T: Scalar + Num, N: Dim + DimName> DivAssign<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn div_assign(&mut self, rhs: T)
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impl<T: Scalar, N: Dim + DimName> Float for Hyperdual<T, N> where
T: Float + Signed + FloatConst,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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T: Float + Signed + FloatConst,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn nan() -> Self
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fn infinity() -> Self
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fn neg_infinity() -> Self
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fn neg_zero() -> Self
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fn min_positive_value() -> Self
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fn epsilon() -> Self
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fn min_value() -> Self
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fn max_value() -> Self
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fn is_nan(self) -> bool
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fn is_infinite(self) -> bool
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fn is_finite(self) -> bool
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fn is_normal(self) -> bool
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fn is_sign_positive(self) -> bool
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fn is_sign_negative(self) -> bool
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fn classify(self) -> FpCategory
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fn floor(self) -> Self
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fn ceil(self) -> Self
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fn round(self) -> Self
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fn trunc(self) -> Self
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fn fract(self) -> Self
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fn signum(self) -> Self
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fn abs(self) -> Self
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fn max(self, other: Self) -> Self
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fn min(self, other: Self) -> Self
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fn abs_sub(self, rhs: Self) -> Self
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fn mul_add(self, a: Self, b: Self) -> Self
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fn recip(self) -> Self
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fn powi(self, n: i32) -> Self
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fn powf(self, n: Self) -> Self
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fn exp(self) -> Self
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fn exp2(self) -> Self
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fn ln(self) -> Self
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fn log(self, base: Self) -> Self
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fn log2(self) -> Self
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fn log10(self) -> Self
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fn sqrt(self) -> Self
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fn cbrt(self) -> Self
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fn hypot(self, other: Self) -> Self
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fn sin(self) -> Self
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fn cos(self) -> Self
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fn tan(self) -> Self
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fn asin(self) -> Self
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fn acos(self) -> Self
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fn atan(self) -> Self
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fn atan2(self, other: Self) -> Self
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fn sin_cos(self) -> (Self, Self)
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fn exp_m1(self) -> Self
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fn ln_1p(self) -> Self
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fn sinh(self) -> Self
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fn cosh(self) -> Self
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fn tanh(self) -> Self
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fn asinh(self) -> Self
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fn acosh(self) -> Self
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fn atanh(self) -> Self
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fn integer_decode(self) -> (u64, i16, i8)
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fn to_degrees(self) -> Self
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fn to_radians(self) -> Self
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impl<T: Scalar + FloatConst + Zero, N: Dim + DimName> FloatConst for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn E() -> Hyperdual<T, N>
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fn FRAC_1_PI() -> Hyperdual<T, N>
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fn FRAC_1_SQRT_2() -> Hyperdual<T, N>
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fn FRAC_2_PI() -> Hyperdual<T, N>
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fn FRAC_2_SQRT_PI() -> Hyperdual<T, N>
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fn FRAC_PI_2() -> Hyperdual<T, N>
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fn FRAC_PI_3() -> Hyperdual<T, N>
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fn FRAC_PI_4() -> Hyperdual<T, N>
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fn FRAC_PI_6() -> Hyperdual<T, N>
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fn FRAC_PI_8() -> Hyperdual<T, N>
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fn LN_10() -> Hyperdual<T, N>
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fn LN_2() -> Hyperdual<T, N>
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fn LOG10_E() -> Hyperdual<T, N>
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fn LOG2_E() -> Hyperdual<T, N>
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fn PI() -> Hyperdual<T, N>
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fn SQRT_2() -> Hyperdual<T, N>
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fn TAU() -> Self where
Self: Add<Self, Output = Self>,
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Self: Add<Self, Output = Self>,
impl<T: Scalar + Zero, N: Dim + DimName> From<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + FromPrimitive, N: Dim + DimName> FromPrimitive for Hyperdual<T, N> where
T: Zero,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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T: Zero,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn from_isize(n: isize) -> Option<Hyperdual<T, N>>
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fn from_i8(n: i8) -> Option<Hyperdual<T, N>>
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fn from_i16(n: i16) -> Option<Hyperdual<T, N>>
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fn from_i32(n: i32) -> Option<Hyperdual<T, N>>
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fn from_i64(n: i64) -> Option<Hyperdual<T, N>>
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fn from_usize(n: usize) -> Option<Hyperdual<T, N>>
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fn from_u8(n: u8) -> Option<Hyperdual<T, N>>
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fn from_u16(n: u16) -> Option<Hyperdual<T, N>>
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fn from_u32(n: u32) -> Option<Hyperdual<T, N>>
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fn from_u64(n: u64) -> Option<Hyperdual<T, N>>
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fn from_f32(n: f32) -> Option<Hyperdual<T, N>>
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fn from_f64(n: f64) -> Option<Hyperdual<T, N>>
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fn from_i128(n: i128) -> Option<Self>
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fn from_u128(n: u128) -> Option<Self>
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impl<T: Scalar, N: Dim + DimName> Inv for Hyperdual<T, N> where
Self: One + Div<Output = Self>,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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Self: One + Div<Output = Self>,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num, N: Dim + DimName> Mul<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Self
The resulting type after applying the *
operator.
fn mul(self, rhs: Self) -> Self
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impl<T: Scalar + Num, N: Dim + DimName> Mul<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the *
operator.
fn mul(self, rhs: T) -> Hyperdual<T, N>
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAdd<Hyperdual<T, N>, Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the fused multiply-add.
fn mul_add(self, a: Self, b: Self) -> Self
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAdd<Hyperdual<T, N>, T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the fused multiply-add.
fn mul_add(self, a: Self, b: T) -> Self
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAdd<T, Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the fused multiply-add.
fn mul_add(self, a: T, b: Self) -> Self
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAdd<T, T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the fused multiply-add.
fn mul_add(self, a: T, b: T) -> Self
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAddAssign<Hyperdual<T, N>, Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_add_assign(&mut self, a: Self, b: Self)
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAddAssign<Hyperdual<T, N>, T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_add_assign(&mut self, a: Self, b: T)
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAddAssign<T, Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_add_assign(&mut self, a: T, b: Self)
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impl<T: Scalar + Num + Mul + Add, N: Dim + DimName> MulAddAssign<T, T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_add_assign(&mut self, a: T, b: T)
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impl<T: Scalar + Num, N: Dim + DimName> MulAssign<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_assign(&mut self, rhs: Self)
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impl<T: Scalar + Num, N: Dim + DimName> MulAssign<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn mul_assign(&mut self, rhs: T)
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impl<T: Scalar + Signed, N: Dim + DimName> Neg for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num, N: Dim + DimName> Num for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type FromStrRadixErr = <T as Num>::FromStrRadixErr
fn from_str_radix(
str: &str,
radix: u32
) -> Result<Hyperdual<T, N>, Self::FromStrRadixErr>
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str: &str,
radix: u32
) -> Result<Hyperdual<T, N>, Self::FromStrRadixErr>
impl<T: Scalar + Float, N: Dim + DimName> NumCast for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn from<P: ToPrimitive>(n: P) -> Option<Hyperdual<T, N>>
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impl<T: Scalar + Num + One, N: Dim + DimName> One for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn one() -> Hyperdual<T, N>
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fn is_one(&self) -> bool where
Self: PartialEq,
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Self: PartialEq,
fn set_one(&mut self)
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impl<T: Scalar + PartialEq, N: Dim + DimName> PartialEq<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + PartialEq, N: Dim + DimName> PartialEq<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + PartialOrd, N: Dim + DimName> PartialOrd<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn partial_cmp(&self, rhs: &Self) -> Option<Ordering>
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fn lt(&self, rhs: &Self) -> bool
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fn gt(&self, rhs: &Self) -> bool
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#[must_use]
fn le(&self, other: &Rhs) -> bool
1.0.0[src]
#[must_use]
fn ge(&self, other: &Rhs) -> bool
1.0.0[src]
impl<T: Scalar + PartialOrd, N: Dim + DimName> PartialOrd<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn partial_cmp(&self, rhs: &T) -> Option<Ordering>
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fn lt(&self, rhs: &T) -> bool
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fn gt(&self, rhs: &T) -> bool
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#[must_use]
fn le(&self, other: &Rhs) -> bool
1.0.0[src]
#[must_use]
fn ge(&self, other: &Rhs) -> bool
1.0.0[src]
impl<T: Scalar, P: Into<Hyperdual<T, N>>, N: Dim + DimName> Pow<P> for Hyperdual<T, N> where
Hyperdual<T, N>: Float,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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Hyperdual<T, N>: Float,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<'a, T: Scalar + Num + One, N: Dim + DimName> Product<&'a Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num + One, N: Dim + DimName> Product<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num, N: Dim + DimName> Rem<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Self
The resulting type after applying the %
operator.
fn rem(self, _: Self) -> Self
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UNIMPLEMENTED!!!
As far as I know, remainder is not a valid operation on dual numbers,
but is required for the Float
trait to be implemented.
impl<T: Scalar, N: Dim + DimName> Signed for Hyperdual<T, N> where
T: Signed + PartialOrd,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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T: Signed + PartialOrd,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn abs(&self) -> Self
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fn abs_sub(&self, rhs: &Self) -> Self
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fn signum(&self) -> Self
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fn is_positive(&self) -> bool
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fn is_negative(&self) -> bool
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impl<T: Scalar + Num, N: Dim + DimName> Sub<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Self
The resulting type after applying the -
operator.
fn sub(self, rhs: Self) -> Self
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impl<T: Scalar + Num, N: Dim + DimName> Sub<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
type Output = Hyperdual<T, N>
The resulting type after applying the -
operator.
fn sub(self, rhs: T) -> Hyperdual<T, N>
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impl<T: Scalar + Num, N: Dim + DimName> SubAssign<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn sub_assign(&mut self, rhs: Self)
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impl<T: Scalar + Num, N: Dim + DimName> SubAssign<T> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn sub_assign(&mut self, rhs: T)
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impl<'a, T: Scalar + Num + Zero, N: Dim + DimName> Sum<&'a Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num + Zero, N: Dim + DimName> Sum<Hyperdual<T, N>> for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + ToPrimitive, N: Dim + DimName> ToPrimitive for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
fn to_isize(&self) -> Option<isize>
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fn to_i8(&self) -> Option<i8>
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fn to_i16(&self) -> Option<i16>
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fn to_i32(&self) -> Option<i32>
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fn to_i64(&self) -> Option<i64>
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fn to_usize(&self) -> Option<usize>
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fn to_u8(&self) -> Option<u8>
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fn to_u16(&self) -> Option<u16>
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fn to_u32(&self) -> Option<u32>
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fn to_u64(&self) -> Option<u64>
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fn to_f32(&self) -> Option<f32>
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fn to_f64(&self) -> Option<f64>
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fn to_i128(&self) -> Option<i128>
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fn to_u128(&self) -> Option<u128>
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impl<T: Scalar + Unsigned, N: Dim + DimName> Unsigned for Hyperdual<T, N> where
Self: Num,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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Self: Num,
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
impl<T: Scalar + Num + Zero, N: Dim + DimName> Zero for Hyperdual<T, N> where
DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
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DefaultAllocator: Allocator<T, N>,
Owned<T, N>: Copy,
Auto Trait Implementations
impl<T, N> !RefUnwindSafe for Hyperdual<T, N>
impl<T, N> !Send for Hyperdual<T, N>
impl<T, N> !Sync for Hyperdual<T, N>
impl<T, N> !Unpin for Hyperdual<T, N>
impl<T, N> !UnwindSafe for Hyperdual<T, N>
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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impl<T, Right> ClosedAdd<Right> for T where
T: Add<Right, Output = T> + AddAssign<Right>,
T: Add<Right, Output = T> + AddAssign<Right>,
impl<T, Right> ClosedDiv<Right> for T where
T: Div<Right, Output = T> + DivAssign<Right>,
T: Div<Right, Output = T> + DivAssign<Right>,
impl<T, Right> ClosedMul<Right> for T where
T: Mul<Right, Output = T> + MulAssign<Right>,
T: Mul<Right, Output = T> + MulAssign<Right>,
impl<T> ClosedNeg for T where
T: Neg<Output = T>,
T: Neg<Output = T>,
impl<T, Right> ClosedSub<Right> for T where
T: Sub<Right, Output = T> + SubAssign<Right>,
T: Sub<Right, Output = T> + SubAssign<Right>,
impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T, Rhs, Output> NumOps<Rhs, Output> for T where
T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,
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T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,
impl<T> Real for T where
T: Float,
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T: Float,
fn min_value() -> T
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fn min_positive_value() -> T
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fn epsilon() -> T
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fn max_value() -> T
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fn floor(self) -> T
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fn ceil(self) -> T
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fn round(self) -> T
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fn trunc(self) -> T
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fn fract(self) -> T
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fn abs(self) -> T
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fn signum(self) -> T
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fn is_sign_positive(self) -> bool
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fn is_sign_negative(self) -> bool
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fn mul_add(self, a: T, b: T) -> T
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fn recip(self) -> T
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fn powi(self, n: i32) -> T
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fn powf(self, n: T) -> T
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fn sqrt(self) -> T
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fn exp(self) -> T
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fn exp2(self) -> T
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fn ln(self) -> T
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fn log(self, base: T) -> T
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fn log2(self) -> T
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fn log10(self) -> T
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fn to_degrees(self) -> T
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fn to_radians(self) -> T
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fn max(self, other: T) -> T
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fn min(self, other: T) -> T
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fn abs_sub(self, other: T) -> T
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fn cbrt(self) -> T
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fn hypot(self, other: T) -> T
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fn sin(self) -> T
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fn cos(self) -> T
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fn tan(self) -> T
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fn asin(self) -> T
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fn acos(self) -> T
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fn atan(self) -> T
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fn atan2(self, other: T) -> T
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fn sin_cos(self) -> (T, T)
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fn exp_m1(self) -> T
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fn ln_1p(self) -> T
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fn sinh(self) -> T
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fn cosh(self) -> T
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fn tanh(self) -> T
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fn asinh(self) -> T
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fn acosh(self) -> T
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fn atanh(self) -> T
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impl<T> Same<T> for T
type Output = T
Should always be Self
impl<T> Scalar for T where
T: PartialEq<T> + Copy + Any + Debug,
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T: PartialEq<T> + Copy + Any + Debug,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
SS: SubsetOf<SP>,
fn to_subset(&self) -> Option<SS>
fn is_in_subset(&self) -> bool
unsafe fn to_subset_unchecked(&self) -> SS
fn from_subset(element: &SS) -> SP
impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
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fn clone_into(&self, target: &mut T)
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impl<T> ToString for T where
T: Display + ?Sized,
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T: Display + ?Sized,
impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
[src]
U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,