Struct nannou::math::Basis3 [−][src]
pub struct Basis3<S> { /* fields omitted */ }
A three-dimensional rotation matrix.
The matrix is guaranteed to be orthogonal, so some operations, specifically
inversion, can be implemented more efficiently than the implementations for
math::Matrix3
. To ensure orthogonality is maintained, the operations have
been restricted to a subset of those implemented on Matrix3
.
Methods
impl<S> Basis3<S> where
S: BaseFloat,
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impl<S> Basis3<S> where
S: BaseFloat,
pub fn from_quaternion(quaternion: &Quaternion<S>) -> Basis3<S>
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pub fn from_quaternion(quaternion: &Quaternion<S>) -> Basis3<S>
Create a new rotation matrix from a quaternion.
Trait Implementations
impl<S> Rotation3<S> for Basis3<S> where
S: BaseFloat,
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impl<S> Rotation3<S> for Basis3<S> where
S: BaseFloat,
fn from_axis_angle<A>(axis: Vector3<S>, angle: A) -> Basis3<S> where
A: Into<Rad<S>>,
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fn from_axis_angle<A>(axis: Vector3<S>, angle: A) -> Basis3<S> where
A: Into<Rad<S>>,
Create a rotation using an angle around a given axis. Read more
fn from_angle_x<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
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fn from_angle_x<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
Create a rotation from an angle around the x
axis (pitch).
fn from_angle_y<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
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fn from_angle_y<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
Create a rotation from an angle around the y
axis (yaw).
fn from_angle_z<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
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fn from_angle_z<A>(theta: A) -> Basis3<S> where
A: Into<Rad<S>>,
Create a rotation from an angle around the z
axis (roll).
impl<S> Clone for Basis3<S> where
S: Clone,
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impl<S> Clone for Basis3<S> where
S: Clone,
fn clone(&self) -> Basis3<S>
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fn clone(&self) -> Basis3<S>
Returns a copy of the value. Read more
fn clone_from(&mut self, source: &Self)
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fn clone_from(&mut self, source: &Self)
Performs copy-assignment from source
. Read more
impl<S> Debug for Basis3<S> where
S: Debug,
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impl<S> Debug for Basis3<S> where
S: Debug,
fn fmt(&self, f: &mut Formatter) -> Result<(), Error>
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fn fmt(&self, f: &mut Formatter) -> Result<(), Error>
Formats the value using the given formatter. Read more
impl<S> Mul<Basis3<S>> for Basis3<S> where
S: BaseFloat,
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impl<S> Mul<Basis3<S>> for Basis3<S> where
S: BaseFloat,
type Output = Basis3<S>
The resulting type after applying the *
operator.
fn mul(self, other: Basis3<S>) -> Basis3<S>
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fn mul(self, other: Basis3<S>) -> Basis3<S>
Performs the *
operation.
impl<'a, S> Mul<&'a Basis3<S>> for Basis3<S> where
S: BaseFloat,
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impl<'a, S> Mul<&'a Basis3<S>> for Basis3<S> where
S: BaseFloat,
type Output = Basis3<S>
The resulting type after applying the *
operator.
fn mul(self, other: &'a Basis3<S>) -> Basis3<S>
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fn mul(self, other: &'a Basis3<S>) -> Basis3<S>
Performs the *
operation.
impl<'a, S> Mul<Basis3<S>> for &'a Basis3<S> where
S: BaseFloat,
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impl<'a, S> Mul<Basis3<S>> for &'a Basis3<S> where
S: BaseFloat,
type Output = Basis3<S>
The resulting type after applying the *
operator.
fn mul(self, other: Basis3<S>) -> Basis3<S>
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fn mul(self, other: Basis3<S>) -> Basis3<S>
Performs the *
operation.
impl<'a, 'b, S> Mul<&'a Basis3<S>> for &'b Basis3<S> where
S: BaseFloat,
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impl<'a, 'b, S> Mul<&'a Basis3<S>> for &'b Basis3<S> where
S: BaseFloat,
type Output = Basis3<S>
The resulting type after applying the *
operator.
fn mul(self, other: &'a Basis3<S>) -> Basis3<S>
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fn mul(self, other: &'a Basis3<S>) -> Basis3<S>
Performs the *
operation.
impl<'de, S> Deserialize<'de> for Basis3<S> where
S: Deserialize<'de>,
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impl<'de, S> Deserialize<'de> for Basis3<S> where
S: Deserialize<'de>,
fn deserialize<__D>(
__deserializer: __D
) -> Result<Basis3<S>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
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fn deserialize<__D>(
__deserializer: __D
) -> Result<Basis3<S>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
Deserialize this value from the given Serde deserializer. Read more
impl<S> AsRef<Matrix3<S>> for Basis3<S>
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impl<S> AsRef<Matrix3<S>> for Basis3<S>
impl<S> From<Quaternion<S>> for Basis3<S> where
S: BaseFloat,
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impl<S> From<Quaternion<S>> for Basis3<S> where
S: BaseFloat,
fn from(quat: Quaternion<S>) -> Basis3<S>
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fn from(quat: Quaternion<S>) -> Basis3<S>
Performs the conversion.
impl<S> From<Basis3<S>> for Matrix3<S> where
S: BaseFloat,
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impl<S> From<Basis3<S>> for Matrix3<S> where
S: BaseFloat,
impl<A> From<Euler<A>> for Basis3<<A as Angle>::Unitless> where
A: Angle + Into<Rad<<A as Angle>::Unitless>>,
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impl<A> From<Euler<A>> for Basis3<<A as Angle>::Unitless> where
A: Angle + Into<Rad<<A as Angle>::Unitless>>,
fn from(src: Euler<A>) -> Basis3<<A as Angle>::Unitless>
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fn from(src: Euler<A>) -> Basis3<<A as Angle>::Unitless>
Create a three-dimensional rotation matrix from a set of euler angles.
impl<S> From<Basis3<S>> for Quaternion<S> where
S: BaseFloat,
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impl<S> From<Basis3<S>> for Quaternion<S> where
S: BaseFloat,
fn from(b: Basis3<S>) -> Quaternion<S>
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fn from(b: Basis3<S>) -> Quaternion<S>
Performs the conversion.
impl<S> ApproxEq for Basis3<S> where
S: BaseFloat,
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impl<S> ApproxEq for Basis3<S> where
S: BaseFloat,
type Epsilon = <S as ApproxEq>::Epsilon
Used for specifying relative comparisons.
fn default_epsilon() -> <S as ApproxEq>::Epsilon
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fn default_epsilon() -> <S as ApproxEq>::Epsilon
The default tolerance to use when testing values that are close together. Read more
fn default_max_relative() -> <S as ApproxEq>::Epsilon
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fn default_max_relative() -> <S as ApproxEq>::Epsilon
The default relative tolerance for testing values that are far-apart. Read more
fn default_max_ulps() -> u32
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fn default_max_ulps() -> u32
The default ULPs to tolerate when testing values that are far-apart. Read more
fn relative_eq(
&self,
other: &Basis3<S>,
epsilon: <S as ApproxEq>::Epsilon,
max_relative: <S as ApproxEq>::Epsilon
) -> bool
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fn relative_eq(
&self,
other: &Basis3<S>,
epsilon: <S as ApproxEq>::Epsilon,
max_relative: <S as ApproxEq>::Epsilon
) -> bool
A test for equality that uses a relative comparison if the values are far apart.
fn ulps_eq(
&self,
other: &Basis3<S>,
epsilon: <S as ApproxEq>::Epsilon,
max_ulps: u32
) -> bool
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fn ulps_eq(
&self,
other: &Basis3<S>,
epsilon: <S as ApproxEq>::Epsilon,
max_ulps: u32
) -> bool
A test for equality that uses units in the last place (ULP) if the values are far apart.
fn relative_ne(
&self,
other: &Self,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
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fn relative_ne(
&self,
other: &Self,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
The inverse of ApproxEq::relative_eq
.
fn ulps_ne(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool
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fn ulps_ne(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool
The inverse of ApproxEq::ulps_eq
.
impl<S> One for Basis3<S> where
S: BaseFloat,
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impl<S> One for Basis3<S> where
S: BaseFloat,
fn one() -> Basis3<S>
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fn one() -> Basis3<S>
Returns the multiplicative identity element of Self
, 1
. Read more
fn is_one(&self) -> bool where
Self: PartialEq<Self>,
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fn is_one(&self) -> bool where
Self: PartialEq<Self>,
Returns true
if self
is equal to the multiplicative identity. Read more
impl<S> Serialize for Basis3<S> where
S: Serialize,
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impl<S> Serialize for Basis3<S> where
S: Serialize,
fn serialize<__S>(
&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
__S: Serializer,
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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. Read more
impl<'a, S> Product<&'a Basis3<S>> for Basis3<S> where
S: 'a + BaseFloat,
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impl<'a, S> Product<&'a Basis3<S>> for Basis3<S> where
S: 'a + BaseFloat,
fn product<I>(iter: I) -> Basis3<S> where
I: Iterator<Item = &'a Basis3<S>>,
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fn product<I>(iter: I) -> Basis3<S> where
I: Iterator<Item = &'a Basis3<S>>,
Method which takes an iterator and generates Self
from the elements by multiplying the items. Read more
impl<S> Product<Basis3<S>> for Basis3<S> where
S: BaseFloat,
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impl<S> Product<Basis3<S>> for Basis3<S> where
S: BaseFloat,
fn product<I>(iter: I) -> Basis3<S> where
I: Iterator<Item = Basis3<S>>,
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fn product<I>(iter: I) -> Basis3<S> where
I: Iterator<Item = Basis3<S>>,
Method which takes an iterator and generates Self
from the elements by multiplying the items. Read more
impl<S> Copy for Basis3<S> where
S: Copy,
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impl<S> Copy for Basis3<S> where
S: Copy,
impl<S> PartialEq<Basis3<S>> for Basis3<S> where
S: PartialEq<S>,
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impl<S> PartialEq<Basis3<S>> for Basis3<S> where
S: PartialEq<S>,
fn eq(&self, other: &Basis3<S>) -> bool
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fn eq(&self, other: &Basis3<S>) -> bool
This method tests for self
and other
values to be equal, and is used by ==
. Read more
fn ne(&self, other: &Basis3<S>) -> bool
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fn ne(&self, other: &Basis3<S>) -> bool
This method tests for !=
.
impl<S> Rotation<Point3<S>> for Basis3<S> where
S: BaseFloat,
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impl<S> Rotation<Point3<S>> for Basis3<S> where
S: BaseFloat,
fn look_at(dir: Vector3<S>, up: Vector3<S>) -> Basis3<S>
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fn look_at(dir: Vector3<S>, up: Vector3<S>) -> Basis3<S>
Create a rotation to a given direction with an 'up' vector.
fn between_vectors(a: Vector3<S>, b: Vector3<S>) -> Basis3<S>
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fn between_vectors(a: Vector3<S>, b: Vector3<S>) -> Basis3<S>
Create a shortest rotation to transform vector 'a' into 'b'. Both given vectors are assumed to have unit length. Read more
fn rotate_vector(&self, vec: Vector3<S>) -> Vector3<S>
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fn rotate_vector(&self, vec: Vector3<S>) -> Vector3<S>
Rotate a vector using this rotation.
fn invert(&self) -> Basis3<S>
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fn invert(&self) -> Basis3<S>
Create a new rotation which "un-does" this rotation. That is, r * r.invert()
is the identity. Read more
fn rotate_point(&self, point: P) -> P
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fn rotate_point(&self, point: P) -> P
Rotate a point using this rotation, by converting it to its representation as a vector. Read more