Predefined Functions – hiquat
| Function name: | hiquat |
| Synopsis: | hiquat(x) |
| Input data type | Output data type |
|---|---|
| real | unsupported |
| complex | quaternion |
| quaternion | complex |
Description:
This function lets you create a quaternion number from a complex number and a complex number from a quaternion number.
Given a complex number c=(cr,ci) hiquat(c) returns the quaternion number (cr,ci,0,0)
Given a quaternion number q=(qr,qi,qj,qk) hiquat(q) returns the complex number (qr,qi)
Thus given a complex number c=(cr,ci) we have hiquat(hiquat(c))=c
Or given a quaternion number q=(qr,qi,qj,qk) we have hiquat(hiquat(q))=(qr,qi,0,0)
See also loquat for converting the j and k part of a quaternion…