pub struct Dual2Vec<T: DualNum<F>, F, D: Dim>{
pub re: T,
pub v1: Derivative<T, F, U1, D>,
pub v2: Derivative<T, F, D, D>,
/* private fields */
}
Expand description
A vector second order dual number for the calculation of Hessians.
Fields§
§re: T
Real part of the second order dual number
v1: Derivative<T, F, U1, D>
Gradient part of the second order dual number
v2: Derivative<T, F, D, D>
Hessian part of the second order dual number
Implementations§
source§impl<T: DualNum<F>, F, D: Dim> Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> Dual2Vec<T, F, D>
sourcepub fn new(
re: T,
v1: Derivative<T, F, U1, D>,
v2: Derivative<T, F, D, D>
) -> Self
pub fn new( re: T, v1: Derivative<T, F, U1, D>, v2: Derivative<T, F, D, D> ) -> Self
Create a new second order dual number from its fields.
Trait Implementations§
source§impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Add<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Add<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
source§impl<T: DualNum<F>, F, D: Dim> AddAssign<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> AddAssign<F> for Dual2Vec<T, F, D>
source§fn add_assign(&mut self, other: F)
fn add_assign(&mut self, other: F)
Performs the
+=
operation. Read moresource§impl<T: DualNum<F>, F, D: Dim> AddAssign for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> AddAssign for Dual2Vec<T, F, D>
source§fn add_assign(&mut self, other: Self)
fn add_assign(&mut self, other: Self)
Performs the
+=
operation. Read moresource§impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Div<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Div<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
source§impl<T: DualNum<F>, F: DualNumFloat, D: Dim> DivAssign<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: DualNumFloat, D: Dim> DivAssign<F> for Dual2Vec<T, F, D>
source§fn div_assign(&mut self, other: F)
fn div_assign(&mut self, other: F)
Performs the
/=
operation. Read moresource§impl<T: DualNum<F>, F: Float, D: Dim> DivAssign for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: Float, D: Dim> DivAssign for Dual2Vec<T, F, D>
source§fn div_assign(&mut self, other: Self)
fn div_assign(&mut self, other: Self)
Performs the
/=
operation. Read moresource§impl<T: DualNum<F>, F: DualNumFloat, D: Dim> DualNum<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: DualNumFloat, D: Dim> DualNum<F> for Dual2Vec<T, F, D>
source§fn sin_cos(&self) -> (Self, Self)
fn sin_cos(&self) -> (Self, Self)
Calculate sine and cosine simultaneously
source§impl<T: DualNum<F>, F: Float + FloatConst, D: Dim> FloatConst for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: Float + FloatConst, D: Dim> FloatConst for Dual2Vec<T, F, D>
source§fn FRAC_1_SQRT_2() -> Self
fn FRAC_1_SQRT_2() -> Self
Return
1.0 / sqrt(2.0)
.source§fn FRAC_2_SQRT_PI() -> Self
fn FRAC_2_SQRT_PI() -> Self
Return
2.0 / sqrt(π)
.source§impl<T: DualNum<F>, F: Float + FromPrimitive, D: Dim> FromPrimitive for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: Float + FromPrimitive, D: Dim> FromPrimitive for Dual2Vec<T, F, D>
source§fn from_isize(n: isize) -> Option<Self>
fn from_isize(n: isize) -> Option<Self>
Converts an
isize
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i8(n: i8) -> Option<Self>
fn from_i8(n: i8) -> Option<Self>
Converts an
i8
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i16(n: i16) -> Option<Self>
fn from_i16(n: i16) -> Option<Self>
Converts an
i16
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i32(n: i32) -> Option<Self>
fn from_i32(n: i32) -> Option<Self>
Converts an
i32
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i64(n: i64) -> Option<Self>
fn from_i64(n: i64) -> Option<Self>
Converts an
i64
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_i128(n: i128) -> Option<Self>
fn from_i128(n: i128) -> Option<Self>
Converts an
i128
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned. Read moresource§fn from_usize(n: usize) -> Option<Self>
fn from_usize(n: usize) -> Option<Self>
Converts a
usize
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u8(n: u8) -> Option<Self>
fn from_u8(n: u8) -> Option<Self>
Converts an
u8
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u16(n: u16) -> Option<Self>
fn from_u16(n: u16) -> Option<Self>
Converts an
u16
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u32(n: u32) -> Option<Self>
fn from_u32(n: u32) -> Option<Self>
Converts an
u32
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u64(n: u64) -> Option<Self>
fn from_u64(n: u64) -> Option<Self>
Converts an
u64
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned.source§fn from_u128(n: u128) -> Option<Self>
fn from_u128(n: u128) -> Option<Self>
Converts an
u128
to return an optional value of this type. If the
value cannot be represented by this type, then None
is returned. Read moresource§impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Mul<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Mul<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
source§impl<T: DualNum<F>, F: DualNumFloat, D: Dim> MulAssign<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: DualNumFloat, D: Dim> MulAssign<F> for Dual2Vec<T, F, D>
source§fn mul_assign(&mut self, other: F)
fn mul_assign(&mut self, other: F)
Performs the
*=
operation. Read moresource§impl<T: DualNum<F>, F: Float, D: Dim> MulAssign for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: Float, D: Dim> MulAssign for Dual2Vec<T, F, D>
source§fn mul_assign(&mut self, other: Self)
fn mul_assign(&mut self, other: Self)
Performs the
*=
operation. Read moresource§impl<T: DualNum<F> + Signed, F: Float, D: Dim> Num for Dual2Vec<T, F, D>
impl<T: DualNum<F> + Signed, F: Float, D: Dim> Num for Dual2Vec<T, F, D>
type FromStrRadixErr = <F as Num>::FromStrRadixErr
source§fn from_str_radix(
_str: &str,
_radix: u32
) -> Result<Self, Self::FromStrRadixErr>
fn from_str_radix( _str: &str, _radix: u32 ) -> Result<Self, Self::FromStrRadixErr>
Convert from a string and radix (typically
2..=36
). Read moresource§impl<T: PartialEq + DualNum<F>, F: PartialEq, D: PartialEq + Dim> PartialEq for Dual2Vec<T, F, D>
impl<T: PartialEq + DualNum<F>, F: PartialEq, D: PartialEq + Dim> PartialEq for Dual2Vec<T, F, D>
source§impl<'a, T: DualNum<F>, F: Float, D: Dim> Product<&'a Dual2Vec<T, F, D>> for Dual2Vec<T, F, D>
impl<'a, T: DualNum<F>, F: Float, D: Dim> Product<&'a Dual2Vec<T, F, D>> for Dual2Vec<T, F, D>
source§impl<T: DualNum<F>, F, D: Dim> RemAssign<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> RemAssign<F> for Dual2Vec<T, F, D>
source§fn rem_assign(&mut self, _other: F)
fn rem_assign(&mut self, _other: F)
Performs the
%=
operation. Read moresource§impl<T: DualNum<F>, F, D: Dim> RemAssign for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> RemAssign for Dual2Vec<T, F, D>
source§fn rem_assign(&mut self, _other: Self)
fn rem_assign(&mut self, _other: Self)
Performs the
%=
operation. Read moresource§impl<T: DualNum<F>, F: DualNumFloat, D: Dim> Signed for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F: DualNumFloat, D: Dim> Signed for Dual2Vec<T, F, D>
source§fn is_positive(&self) -> bool
fn is_positive(&self) -> bool
Returns true if the number is positive and false if the number is zero or negative.
source§fn is_negative(&self) -> bool
fn is_negative(&self) -> bool
Returns true if the number is negative and false if the number is zero or positive.
source§impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Sub<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
impl<'a, 'b, T: DualNum<F>, F: Float, D: Dim> Sub<&'a Dual2Vec<T, F, D>> for &'b Dual2Vec<T, F, D>
source§impl<T: DualNum<F>, F, D: Dim> SubAssign<F> for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> SubAssign<F> for Dual2Vec<T, F, D>
source§fn sub_assign(&mut self, other: F)
fn sub_assign(&mut self, other: F)
Performs the
-=
operation. Read moresource§impl<T: DualNum<F>, F, D: Dim> SubAssign for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> SubAssign for Dual2Vec<T, F, D>
source§fn sub_assign(&mut self, other: Self)
fn sub_assign(&mut self, other: Self)
Performs the
-=
operation. Read moreimpl<T: DualNum<F> + Copy, F: Copy, const N: usize> Copy for Dual2Vec<T, F, Const<N>>
impl<T: Eq + DualNum<F>, F: Eq, D: Eq + Dim> Eq for Dual2Vec<T, F, D>
impl<T: DualNum<F>, F, D: Dim> StructuralPartialEq for Dual2Vec<T, F, D>
Auto Trait Implementations§
impl<T, F, D> !Freeze for Dual2Vec<T, F, D>
impl<T, F, D> !RefUnwindSafe for Dual2Vec<T, F, D>
impl<T, F, D> !Send for Dual2Vec<T, F, D>
impl<T, F, D> !Sync for Dual2Vec<T, F, D>
impl<T, F, D> !Unpin for Dual2Vec<T, F, D>
impl<T, F, D> !UnwindSafe for Dual2Vec<T, F, D>
Blanket Implementations§
source§impl<T> BesselDual for T
impl<T> BesselDual for T
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
source§impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
source§fn to_subset(&self) -> Option<SS>
fn to_subset(&self) -> Option<SS>
The inverse inclusion map: attempts to construct
self
from the equivalent element of its
superset. Read moresource§fn is_in_subset(&self) -> bool
fn is_in_subset(&self) -> bool
Checks if
self
is actually part of its subset T
(and can be converted to it).source§fn to_subset_unchecked(&self) -> SS
fn to_subset_unchecked(&self) -> SS
Use with care! Same as
self.to_subset
but without any property checks. Always succeeds.source§fn from_subset(element: &SS) -> SP
fn from_subset(element: &SS) -> SP
The inclusion map: converts
self
to the equivalent element of its superset.