prod
Product of quaternion array
Description
Examples
Product of Quaternions in Each Column
Create a 3-by-3 array whose elements correspond to their linear indices.
A = reshape(quaternion(randn(9,4)),3,3)
A = 3x3 quaternion array
0.53767 + 2.7694i + 1.409j - 0.30344k 0.86217 + 0.7254i - 1.2075j + 0.8884k -0.43359 - 0.20497i + 0.48889j - 0.8095k
1.8339 - 1.3499i + 1.4172j + 0.29387k 0.31877 - 0.063055i + 0.71724j - 1.1471k 0.34262 - 0.12414i + 1.0347j - 2.9443k
-2.2588 + 3.0349i + 0.6715j - 0.78728k -1.3077 + 0.71474i + 1.6302j - 1.0689k 3.5784 + 1.4897i + 0.72689j + 1.4384k
Find the product of the quaternions in each column. The length of the first dimension is 1
, and the length of the second dimension matches size(A,2)
.
B = prod(A)
B = 1x3 quaternion array
-19.837 - 9.1521i + 15.813j - 19.918k -5.4708 - 0.28535i + 3.077j - 1.2295k -10.69 - 8.5199i - 2.8801j - 0.65338k
Product of Specified Dimension of Quaternion Array
You can specify which dimension of a quaternion array to take the product of.
Create a 2-by-2-by-2 quaternion array.
A = reshape(quaternion(randn(8,4)),2,2,2);
Find the product of the elements in each page of the array. The length of the first dimension matches size(A,1)
, the length of the second dimension matches size(A,2)
, and the length of the third dimension is 1
.
dim = 3; B = prod(A,dim)
B = 2x2 quaternion array
-2.4847 + 1.1659i - 0.37547j + 2.8068k 0.28786 - 0.29876i - 0.51231j - 4.2972k
0.38986 - 3.6606i - 2.0474j - 6.047k -1.741 - 0.26782i + 5.4346j + 4.1452k
Input Arguments
quat
— Quaternions
array of quaternion
objects
Quaternions, specified as an array of quaternion
objects of any dimensionality.
Example: qProd = prod(quat)
calculates the quaternion
product along the first non-singleton dimension of
quat
.
dim
— Dimension
positive integer
Dimension along which to calculate the quaternion product, specified as a
positive integer. If dim
is not specified,
prod
operates along the first non-singleton
dimension of quat
.
Data Types: single
| double
| int8
| int16
| int32
| int64
| uint8
| uint16
| uint32
| uint64
Output Arguments
quatProd
— Quaternion product
array of quaternion
objects
Quaternion product, returned as an array of quaternion
objects. quatProd
has one less non-singleton dimension
than quat
.
For example, if quat
is a 2-by-2-by-5 array,
prod(
returns a 1-by-2-by-5 array.quat
,1)prod(
returns a 2-by-1-by-5 array.quat
,2)prod(
returns a 2-by-2 array.quat
,3)
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
Version History
Introduced in R2018a
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