quatmod

Calculate modulus of quaternion

Syntax

n = quatmod(q)

Description

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

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

example

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 a m-by-4 matrix of real numbers containing m quaternions.

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 of m elements.

Algorithms

The quaternion has the form of

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

The quaternion modulus has 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 — Quaternion m-by-4 matrix of real numbers

Output Arguments

n — Moduli column vector of m elements

Algorithms

References

Extended Capabilities

C/C++ Code Generation Generate 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™.