power, .^
Element-wise quaternion power
Syntax
Description
Examples
Raise a Quaternion to a Real Scalar Power
Create a quaternion and raise it to a real scalar power.
A = quaternion(1,2,3,4)
A = quaternion
1 + 2i + 3j + 4k
b = 3; C = A.^b
C = quaternion
-86 - 52i - 78j - 104k
Raise a Quaternion Array to Powers from a Multidimensional Array
Create a 2-by-1 quaternion array and raise it to powers from a 2-D array.
A = quaternion([1:4;5:8])
A = 2x1 quaternion array
1 + 2i + 3j + 4k
5 + 6i + 7j + 8k
b = [1 0 2; 3 2 1]
b = 2×3
1 0 2
3 2 1
C = A.^b
C = 2x3 quaternion array
1 + 2i + 3j + 4k 1 + 0i + 0j + 0k -28 + 4i + 6j + 8k
-2110 - 444i - 518j - 592k -124 + 60i + 70j + 80k 5 + 6i + 7j + 8k
Input Arguments
A
— Base
quaternion
object | array of quaternion
objects
Base, specified as a quaternion
object or an
array of quaternion
objects of any dimensionality.
A
and b
must have compatible sizes. In the
simplest cases, they can be the same size or one can be a scalar. Two inputs have
compatible sizes if, for every dimension, the dimension sizes of the inputs are the same
or one of the dimensions is 1.
b
— Exponent
real scalar | array of real numbers
Exponent, specified as a real scalar or an array of real numbers.
A
and b
must have compatible sizes. In the
simplest cases, they can be the same size or one can be a scalar. Two inputs have
compatible sizes if, for every dimension, the dimension sizes of the inputs are the same
or one of the dimensions is 1.
Data Types: single
| double
Output Arguments
Algorithms
The polar representation of a quaternion is given by
where θ is the angle of rotation, and û is the unit quaternion.
Quaternion A raised by a real exponent b is given by
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Version History
Introduced in R2018b
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