Modern Math Conjugate

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Conjugate

Returns the conjugate of a quaternion, the reverse rotation when it is normalised.

Syntax

Conjugate( byref a as Quat ) as Quat

Notes

• For a normalised quaternion the conjugate is the inverse rotation, which is why an inverse transform costs three negations rather than a matrix inversion.
• For a complex number this is CConj in complex.tiko, not this function. Complex numbers left vector.tiko when they got a file of their own; Conjugate here applies only to quaternions.
• It is not the inverse for a quaternion that is not normalised.

Examples

#import "std/numeric"
using numeric

dim as Quat q = type<Quat>( 0, 0, 0, 1 )      '' identity rotation
dim as Quat c = Conjugate( q )
print c.w                    '' 1

'' Not related: the complex conjugate is CConj, in complex.tiko
'' print CToString( CConj( CSet( 3, 4 ) ) )   '' 3-4i

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Library: Math Library
Category: Math Library
Documented under: Members