Struct truck_modeling::base::cgmath::Vector1

pub struct Vector1<S> {
    pub x: S,
}

A 1-dimensional vector.

This type is marked as #[repr(C)].

Fields

x: S

The x component of the vector.

Implementations

impl<S> Vector1<S>

pub const fn new(x: S) -> Vector1<S>

Construct a new vector, using the provided values.

pub fn map<U, F>(self, f: F) -> Vector1<U>where
    F: FnMut(S) -> U,

Perform the given operation on each field in the vector, returning a new point constructed from the operations.

pub fn zip<S2, S3, F>(self, v2: Vector1<S2>, f: F) -> Vector1<S3>where
    F: FnMut(S, S2) -> S3,

Construct a new vector where each component is the result of applying the given operation to each pair of components of the given vectors.

impl<S> Vector1<S>where
    S: NumCast + Copy,

pub fn cast<T>(&self) -> Option<Vector1<T>>where
    T: NumCast,

Component-wise casting to another type.

impl<S> Vector1<S>where
    S: BaseNum,

pub fn unit_x() -> Vector1<S>

A unit vector in the x direction.

Trait Implementations

impl<S> AbsDiffEq<Vector1<S>> for Vector1<S>where
    S: BaseFloat,

type Epsilon = <S as AbsDiffEq<S>>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> <S as AbsDiffEq<S>>::Epsilon

The default tolerance to use when testing values that are close together.

fn abs_diff_eq(
    &self,
    other: &Vector1<S>,
    epsilon: <S as AbsDiffEq<S>>::Epsilon
) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<'a, 'b, S> Add<&'a Vector1<S>> for &'b Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector1<S>) -> Point1<S>

Performs the + operation.

impl<'a, 'b, S> Add<&'a Vector1<S>> for &'b Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector1<S>) -> Vector1<S>

Performs the + operation.

impl<'a, S> Add<&'a Vector1<S>> for Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector1<S>) -> Point1<S>

Performs the + operation.

impl<'a, S> Add<&'a Vector1<S>> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Vector1<S>) -> Vector1<S>

Performs the + operation.

impl<'a, S> Add<Vector1<S>> for &'a Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the + operator.

fn add(self, other: Vector1<S>) -> Point1<S>

Performs the + operation.

impl<'a, S> Add<Vector1<S>> for &'a Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the + operator.

fn add(self, other: Vector1<S>) -> Vector1<S>

Performs the + operation.

impl<S> Add<Vector1<S>> for Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the + operator.

fn add(self, other: Vector1<S>) -> Point1<S>

Performs the + operation.

impl<S> Add<Vector1<S>> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the + operator.

fn add(self, other: Vector1<S>) -> Vector1<S>

Performs the + operation.

impl<S> AddAssign<Vector1<S>> for Point1<S>where
    S: BaseNum + AddAssign<S>,

fn add_assign(&mut self, vector: Vector1<S>)

Performs the += operation.

impl<S> AddAssign<Vector1<S>> for Vector1<S>where
    S: BaseNum + AddAssign<S>,

fn add_assign(&mut self, other: Vector1<S>)

Performs the += operation.

impl<S> Array for Vector1<S>where
    S: Copy,

type Element = S

fn len() -> usize

Get the number of elements in the array type

fn from_value(scalar: S) -> Vector1<S>

Construct a vector from a single value, replicating it.

fn sum(self) -> Swhere
    S: Add<S, Output = S>,

The sum of the elements of the array.

fn product(self) -> Swhere
    S: Mul<S, Output = S>,

The product of the elements of the array.

fn is_finite(&self) -> boolwhere
    S: Float,

Whether all elements of the array are finite

fn as_ptr(&self) -> *const Self::Element

Get the pointer to the first element of the array.

fn as_mut_ptr(&mut self) -> *mut Self::Element

Get a mutable pointer to the first element of the array.

fn swap_elements(&mut self, i: usize, j: usize)

Swap the elements at indices i and j in-place.

impl<S> AsMut<[S; 1]> for Vector1<S>

fn as_mut(&mut self) -> &mut [S; 1]

Converts this type into a mutable reference of the (usually inferred) input type.

impl<S> AsMut<(S,)> for Vector1<S>

fn as_mut(&mut self) -> &mut (S,)

Converts this type into a mutable reference of the (usually inferred) input type.

impl<S> AsRef<[S; 1]> for Vector1<S>

fn as_ref(&self) -> &[S; 1]

Converts this type into a shared reference of the (usually inferred) input type.

impl<S> AsRef<(S,)> for Vector1<S>

fn as_ref(&self) -> &(S,)

Converts this type into a shared reference of the (usually inferred) input type.

impl<S> Bounded<S> for Vector1<S>where
    S: BaseFloat,

type Vector = Vector1<S>

the result of subtraction

impl<S> Bounded for Vector1<S>where
    S: Bounded,

fn min_value() -> Vector1<S>

Returns the smallest finite number this type can represent

fn max_value() -> Vector1<S>

Returns the largest finite number this type can represent

impl<S> Clone for Vector1<S>where
    S: Clone,

fn clone(&self) -> Vector1<S>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<S> ControlPoint<S> for Vector1<S>where
    S: BaseFloat,

type Diff = Vector1<S>

differential vector

fn origin() -> Vector1<S>

origin

fn to_vec(self) -> Vector1<S>

into the vector

impl<S> Debug for Vector1<S>where
    S: Debug,

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

Formats the value using the given formatter.

impl<'de, S> Deserialize<'de> for Vector1<S>where
    S: Deserialize<'de>,

fn deserialize<__D>(
    __deserializer: __D
) -> Result<Vector1<S>, <__D as Deserializer<'de>>::Error>where
    __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<'a, S> Div<S> for &'a Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Vector1<S>

Performs the / operation.

impl<S> Div<S> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Vector1<S>

Performs the / operation.

impl<S> DivAssign<S> for Vector1<S>where
    S: BaseNum + DivAssign<S>,

fn div_assign(&mut self, scalar: S)

Performs the /= operation.

impl<S> ElementWise<S> for Vector1<S>where
    S: BaseNum,

fn add_element_wise(self, rhs: S) -> Vector1<S>

fn sub_element_wise(self, rhs: S) -> Vector1<S>

fn mul_element_wise(self, rhs: S) -> Vector1<S>

fn div_element_wise(self, rhs: S) -> Vector1<S>

fn rem_element_wise(self, rhs: S) -> Vector1<S>

fn add_assign_element_wise(&mut self, rhs: S)

fn sub_assign_element_wise(&mut self, rhs: S)

fn mul_assign_element_wise(&mut self, rhs: S)

fn div_assign_element_wise(&mut self, rhs: S)

fn rem_assign_element_wise(&mut self, rhs: S)

impl<S> ElementWise<Vector1<S>> for Vector1<S>where
    S: BaseNum,

fn add_element_wise(self, rhs: Vector1<S>) -> Vector1<S>

fn sub_element_wise(self, rhs: Vector1<S>) -> Vector1<S>

fn mul_element_wise(self, rhs: Vector1<S>) -> Vector1<S>

fn div_element_wise(self, rhs: Vector1<S>) -> Vector1<S>

fn rem_element_wise(self, rhs: Vector1<S>) -> Vector1<S>

fn add_assign_element_wise(&mut self, rhs: Vector1<S>)

fn sub_assign_element_wise(&mut self, rhs: Vector1<S>)

fn mul_assign_element_wise(&mut self, rhs: Vector1<S>)

fn div_assign_element_wise(&mut self, rhs: Vector1<S>)

fn rem_assign_element_wise(&mut self, rhs: Vector1<S>)

impl<'a, S> From<&'a [S; 1]> for &'a Vector1<S>

fn from(v: &'a [S; 1]) -> &'a Vector1<S>

Converts to this type from the input type.

impl<'a, S> From<&'a (S,)> for &'a Vector1<S>

fn from(v: &'a (S,)) -> &'a Vector1<S>

Converts to this type from the input type.

impl<'a, S> From<&'a mut [S; 1]> for &'a mut Vector1<S>

fn from(v: &'a mut [S; 1]) -> &'a mut Vector1<S>

Converts to this type from the input type.

impl<'a, S> From<&'a mut (S,)> for &'a mut Vector1<S>

fn from(v: &'a mut (S,)) -> &'a mut Vector1<S>

Converts to this type from the input type.

impl<S> From<[S; 1]> for Vector1<S>where
    S: Clone,

fn from(v: [S; 1]) -> Vector1<S>

Converts to this type from the input type.

impl<S> From<(S,)> for Vector1<S>

fn from(v: (S,)) -> Vector1<S>

Converts to this type from the input type.

impl<S> Hash for Vector1<S>where
    S: Hash,

fn hash<__H>(&self, state: &mut __H)where
    __H: Hasher,

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)where
    H: Hasher,
    Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<S> HashGen<S> for Vector1<S>where
    S: Float + FromPrimitive,

fn hash1(gen: Vector1<S>) -> S

deterministic hash, output 1-dim

fn hash2(gen: Vector1<S>) -> [S; 2]

deterministic hash, output 2-dim

fn hash3(gen: Vector1<S>) -> [S; 3]

deterministic hash, output 3-dim

fn hash4(gen: Vector1<S>) -> [S; 4]

deterministic hash, output 4-dim

impl<S> Index<Range<usize>> for Vector1<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: Range<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeFrom<usize>> for Vector1<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeFrom<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeFull> for Vector1<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeFull) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<RangeTo<usize>> for Vector1<S>

type Output = [S]

The returned type after indexing.

fn index<'a>(&'a self, i: RangeTo<usize>) -> &'a [S]

Performs the indexing (container[index]) operation.

impl<S> Index<usize> for Vector1<S>

type Output = S

The returned type after indexing.

fn index<'a>(&'a self, i: usize) -> &'a S

Performs the indexing (container[index]) operation.

impl<S> IndexMut<Range<usize>> for Vector1<S>

fn index_mut<'a>(&'a mut self, i: Range<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeFrom<usize>> for Vector1<S>

fn index_mut<'a>(&'a mut self, i: RangeFrom<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeFull> for Vector1<S>

fn index_mut<'a>(&'a mut self, i: RangeFull) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<RangeTo<usize>> for Vector1<S>

fn index_mut<'a>(&'a mut self, i: RangeTo<usize>) -> &'a mut [S]

Performs the mutable indexing (container[index]) operation.

impl<S> IndexMut<usize> for Vector1<S>

fn index_mut<'a>(&'a mut self, i: usize) -> &'a mut S

Performs the mutable indexing (container[index]) operation.

impl<S> InnerSpace for Vector1<S>where
    S: BaseNum,

fn dot(self, other: Vector1<S>) -> S

Vector dot (or inner) product.

fn magnitude2(self) -> Self::Scalar

Returns the squared magnitude.

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

Returns the vector projection of the current inner space projected onto the supplied argument.

impl<S> Into<[S; 1]> for Vector1<S>

fn into(self) -> [S; 1]

Converts this type into the (usually inferred) input type.

impl<S> Into<(S,)> for Vector1<S>

fn into(self) -> (S,)

Converts this type into the (usually inferred) input type.

impl<S> MetricSpace for Vector1<S>where
    S: BaseNum,

type Metric = S

The metric to be returned by the distance function.

fn distance2(self, other: Vector1<S>) -> S

Returns the squared distance.

impl<'a, S> Mul<S> for &'a Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Vector1<S>

Performs the * operation.

impl<S> Mul<S> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Vector1<S>

Performs the * operation.

impl<S> MulAssign<S> for Vector1<S>where
    S: BaseNum + MulAssign<S>,

fn mul_assign(&mut self, scalar: S)

Performs the *= operation.

impl<S> Neg for Vector1<S>where
    S: Neg<Output = S>,

type Output = Vector1<S>

The resulting type after applying the - operator.

fn neg(self) -> Vector1<S>

Performs the unary - operation.

impl<S> PartialEq<Vector1<S>> for Vector1<S>where
    S: PartialEq<S>,

fn eq(&self, other: &Vector1<S>) -> bool

This method tests for self and other values to be equal, and is used by ==.

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

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

impl<S> RelativeEq<Vector1<S>> for Vector1<S>where
    S: BaseFloat,

fn default_max_relative() -> <S as AbsDiffEq<S>>::Epsilon

The default relative tolerance for testing values that are far-apart.

fn relative_eq(
    &self,
    other: &Vector1<S>,
    epsilon: <S as AbsDiffEq<S>>::Epsilon,
    max_relative: <S as AbsDiffEq<S>>::Epsilon
) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne(
    &self,
    other: &Rhs,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

The inverse of RelativeEq::relative_eq.

impl<'a, S> Rem<S> for &'a Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Vector1<S>

Performs the % operation.

impl<S> Rem<S> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Vector1<S>

Performs the % operation.

impl<S> RemAssign<S> for Vector1<S>where
    S: BaseNum + RemAssign<S>,

fn rem_assign(&mut self, scalar: S)

Performs the %= operation.

impl<S> Serialize for Vector1<S>where
    S: Serialize,

fn serialize<__S>(
    &self,
    __serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error>where
    __S: Serializer,

Serialize this value into the given Serde serializer.

impl<'a, 'b, S> Sub<&'a Vector1<S>> for &'b Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector1<S>) -> Point1<S>

Performs the - operation.

impl<'a, 'b, S> Sub<&'a Vector1<S>> for &'b Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector1<S>) -> Vector1<S>

Performs the - operation.

impl<'a, S> Sub<&'a Vector1<S>> for Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector1<S>) -> Point1<S>

Performs the - operation.

impl<'a, S> Sub<&'a Vector1<S>> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Vector1<S>) -> Vector1<S>

Performs the - operation.

impl<'a, S> Sub<Vector1<S>> for &'a Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector1<S>) -> Point1<S>

Performs the - operation.

impl<'a, S> Sub<Vector1<S>> for &'a Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector1<S>) -> Vector1<S>

Performs the - operation.

impl<S> Sub<Vector1<S>> for Point1<S>where
    S: BaseNum,

type Output = Point1<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector1<S>) -> Point1<S>

Performs the - operation.

impl<S> Sub<Vector1<S>> for Vector1<S>where
    S: BaseNum,

type Output = Vector1<S>

The resulting type after applying the - operator.

fn sub(self, other: Vector1<S>) -> Vector1<S>

Performs the - operation.

impl<S> SubAssign<Vector1<S>> for Point1<S>where
    S: BaseNum + SubAssign<S>,

fn sub_assign(&mut self, vector: Vector1<S>)

Performs the -= operation.

impl<S> SubAssign<Vector1<S>> for Vector1<S>where
    S: BaseNum + SubAssign<S>,

fn sub_assign(&mut self, other: Vector1<S>)

Performs the -= operation.

impl<'a, S> Sum<&'a Vector1<S>> for Vector1<S>where
    S: 'a + BaseNum,

fn sum<I>(iter: I) -> Vector1<S>where
    I: Iterator<Item = &'a Vector1<S>>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<S> Sum<Vector1<S>> for Vector1<S>where
    S: BaseNum,

fn sum<I>(iter: I) -> Vector1<S>where
    I: Iterator<Item = Vector1<S>>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<S> TangentSpace<S> for Vector1<S>where
    S: BaseFloat,

type Space = Point1<S>

The Euclidean space whose tangent space is Self.

impl<S> UlpsEq<Vector1<S>> for Vector1<S>where
    S: BaseFloat,

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq(
    &self,
    other: &Vector1<S>,
    epsilon: <S as AbsDiffEq<S>>::Epsilon,
    max_ulps: u32
) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl<S> VectorSpace for Vector1<S>where
    S: BaseNum,

type Scalar = S

The associated scalar.

fn lerp(self, other: Self, amount: Self::Scalar) -> Self

Returns the result of linearly interpolating the vector towards other by the specified amount.

impl<S> Zero for Vector1<S>where
    S: BaseNum,

fn zero() -> Vector1<S>

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<S> Copy for Vector1<S>where
    S: Copy,

impl<S> Eq for Vector1<S>where
    S: Eq,

impl<S> StructuralEq for Vector1<S>

impl<S> StructuralPartialEq for Vector1<S>