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log

Natural logarithm of quaternion array

Since R2020b

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Syntax

B = log(A)

Description

B = log(A) computes the natural logarithm of the elements of the quaternion array A.

example

Examples

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Open Live Script

Create a 3-by-1 quaternion array A.

A = quaternion(randn(3,4))
A = 3x1 quaternion array
     0.53767 + 0.86217i - 0.43359j +  2.7694k
      1.8339 + 0.31877i + 0.34262j -  1.3499k
     -2.2588 -  1.3077i +  3.5784j +  3.0349k

Compute the logarithmic values of A.

B = log(A)
B = 3x1 quaternion array
      1.0925 + 0.40848i - 0.20543j +  1.3121k
      0.8436 + 0.14767i + 0.15872j - 0.62533k
      1.6807 - 0.53829i +   1.473j +  1.2493k

Input Arguments

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Input quaternion, specified as a quaternion object or an array of quaternion objects of any dimensionality.

Output Arguments

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Natural logarithm values, returned as a quaternion object or an array of quaternion objects of the same size of the A argument.

Algorithms

Given a quaternion A=a+v¯=a+bi+cj+dk, the logarithm is computed by

log(A)=log‖A‖+v¯‖v¯‖arccosa‖A‖

Extended Capabilities

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

Version History

Introduced in R2020b

See Also

Functions

Objects