quatmod

Calculate modulus of quaternion

Syntax

n = quatmod(q)

Description

n= quatmod(q)calculates the modulusnfor a given quaternion,q. For more information on the quaternion and quaternion modulus forms, seeAlgorithms.

Aerospace Toolboxuses quaternions that are defined using the scalar-first convention.

Examples

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Determine Modulus of Quaternion

Open Live Script

Determine the modulus of q = [1 0 0 0].

mod = quatmod([1 0 0 0])

mod = 1

Input Arguments

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`q`—Quaternion
m-by-4 matrix of real numbers

Quaternion, specified in am-by-4 matrix of real numbers containingmquaternions.

Example:[1 0 0 0]

Data Types:double

Output Arguments

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`n`— Moduli
column vector of`m`elements

Moduli, returned as a column vector ofmelements.

Algorithms

The quaternion has the form of

$q = q_{0} + i q_{1} + j q_{2} + k q_{3} .$

四元数模数the form of

$| q | = \sqrt{q_{0}^{2} + q_{1}^{2} + q_{2}^{2} + q_{3}^{2}} .$

References

[1] Stevens, Brian L. and Frank L. Lewis.Aircraft Control and Simulation. 2nd ed. Wiley–Interscience, 2003.

Extended Capabilities

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

Usage notes and limitations:

Code generation for this function requires the Aerospace Blockset™ software.

Version History

Introduced in R2006b

quatmod

Syntax

Description

Examples

Determine Modulus of Quaternion

Input Arguments

q—Quaternionm-by-4 matrix of real numbers

Output Arguments

n— Modulicolumn vector ofmelements

Algorithms

References

Extended Capabilities

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

Version History

See Also

`q`—Quaternion
m-by-4 matrix of real numbers

`n`— Moduli
column vector of`m`elements

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