ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

class Quaternion(*args, **kwargs)¶

Bases: pybind11_object

Overloaded function.

__init__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, first_component: ostk.core.type.Real, second_component: ostk.core.type.Real, third_component: ostk.core.type.Real, fourth_component: ostk.core.type.Real, format: ostk::mathematics::geometry::d3::transformation::rotation::Quaternion::Format) -> None
__init__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, vector: numpy.ndarray[numpy.float64[4, 1]], format: ostk::mathematics::geometry::d3::transformation::rotation::Quaternion::Format) -> None
__init__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, vector_part: numpy.ndarray[numpy.float64[3, 1]], scalar_part: ostk.core.type.Real) -> None
__init__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion) -> None

Methods

`angular_difference_with`
`conjugate`
`cross_multiply`
`dot_multiply`
`dot_product`
`euler_angle`
`exp`
`get_scalar_part`
`get_vector_part`
`inverse`
`is_defined`
`is_near`
`is_unitary`
`lerp`
`log`
`nlerp`
`norm`
`normalize`
`parse`
`pow`
`rectify`
`rotate_vector`
`rotation_matrix`
`rotation_vector`
`s`
`shortest_rotation`
`slerp`
`to_conjugate`
`to_inverse`
`to_normalized`
`to_string`	Overloaded function.
`to_vector`
`undefined`
`unit`
`x`
`xyzs`
`y`
`z`

class Format( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion.Format, value: int, )¶

Bases: pybind11_object

Members:

XYZS

SXYZ

property name¶

__add__( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, arg0: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

__mul__(*args, **kwargs)¶

Overloaded function.

__mul__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, arg0: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion) -> ostk.mathematics.geometry.d3.transformation.rotation.Quaternion
__mul__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, arg0: numpy.ndarray[numpy.float64[3, 1]]) -> numpy.ndarray[numpy.float64[3, 1]]
__mul__(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, arg0: float) -> ostk.mathematics.geometry.d3.transformation.rotation.Quaternion

angular_difference_with( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk::mathematics::geometry::Angle¶

conjugate( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → None¶

cross_multiply( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

dot_multiply( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

dot_product( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

static euler_angle( euler_angle: ostk::mathematics::geometry::d3::transformation::rotation::EulerAngle, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

exp( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

get_scalar_part( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

get_vector_part( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → numpy.ndarray[numpy.float64[3, 1]]¶

inverse( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → None¶

is_defined( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → bool¶

is_near( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, angular_tolerance: ostk::mathematics::geometry::Angle, ) → bool¶

is_unitary( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, norm_tolerance: ostk.core.type.Real = Real.Epislon(), ) → bool¶

static lerp( first_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, second_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ratio: ostk.core.type.Real, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

log( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

static nlerp( first_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, second_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ratio: ostk.core.type.Real, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

norm( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

normalize( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → None¶

static parse( string: ostk.core.type.String, format: ostk::mathematics::geometry::d3::transformation::rotation::Quaternion::Format, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

pow( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, value: ostk.core.type.Real, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

rectify( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → None¶

rotate_vector( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, vector: numpy.ndarray[numpy.float64[3, 1]], norm_tolerance: ostk.core.type.Real = Real.Epsilon(), ) → numpy.ndarray[numpy.float64[3, 1]]¶

static rotation_matrix( rotation_matrix: ostk::mathematics::geometry::d3::transformation::rotation::RotationMatrix, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

static rotation_vector( rotation_vector: ostk::mathematics::geometry::d3::transformation::rotation::RotationVector, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

s( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

static shortest_rotation( first_vector: numpy.ndarray[numpy.float64[3, 1]], second_vector: numpy.ndarray[numpy.float64[3, 1]], ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

static slerp( first_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, second_quaternion: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ratio: ostk.core.type.Real, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

to_conjugate( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

to_inverse( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

to_normalized( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

to_string(*args, **kwargs)¶

Overloaded function.

to_string(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion) -> ostk.core.type.String
to_string(self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, arg0: ostk::mathematics::geometry::d3::transformation::rotation::Quaternion::Format) -> ostk.core.type.String

to_vector( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, format: ostk::mathematics::geometry::d3::transformation::rotation::Quaternion::Format, ) → numpy.ndarray[numpy.float64[4, 1]]¶

static undefined() → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

static unit() → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

x( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

static xyzs( first_component: ostk.core.type.Real, second_component: ostk.core.type.Real, third_component: ostk.core.type.Real, fourth_component: ostk.core.type.Real, ) → ostk.mathematics.geometry.d3.transformation.rotation.Quaternion¶

y( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶

z( self: ostk.mathematics.geometry.d3.transformation.rotation.Quaternion, ) → ostk.core.type.Real¶