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exp

Exponential of quaternion array

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Syntax

B = exp(A)

Description

example

B= exp(A)computes the exponential of the elements of the quaternion arrayA.

Examples

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Open Live Script

Create a 4-by-1 quaternion array A.

A = quaternion(magic(4))
A =4x1 quaternion array16 + 2i + 3j + 13k 5 + 11i + 10j + 8k 9 + 7i + 6j + 12k 4 + 14i + 15j + 1k

Compute the exponential of A.

B = exp(A)
B =4x1 quaternion array5.3525e+06 + 1.0516e+06i + 1.5774e+06j + 6.8352e+06k -57.359 - 89.189i - 81.081j - 64.865k -6799.1 + 2039.1i + 1747.8j + 3495.6k -6.66 + 36.931i + 39.569j + 2.6379k

Input Arguments

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Input quaternion, specified as a scalar, vector, matrix, or multidimensional array.

Data Types:quaternion

Output Arguments

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Result of quaternion exponential, returned as a scalar, vector, matrix, or multidimensional array.

Data Types:quaternion

Algorithms

Given a quaternion A = a + b i + c j + d k = a + v ¯ , the exponential is computed by

exp ( A ) = e a ( cos ‖ v ¯ ‖ + v ¯ ‖ v ¯ ‖ sin ‖ v ¯ ‖ )

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

版本历史

Introduced in R2018b

See Also

Functions

Objects