naginterfaces.library.complex.abs¶
- naginterfaces.library.complex.abs(xr, xi)[source]¶
abs
returns the value of the modulus of the complex number .For full information please refer to the NAG Library document for a02ab
https://support.nag.com/numeric/nl/nagdoc_30.2/flhtml/a02/a02abf.html
- Parameters
- xrfloat
, the real part of .
- xifloat
, the imaginary part of .
- Returns
- xafloat
The modulus of the complex number .
- Notes
In the NAG Library the traditional C interface for this routine uses a different algorithmic base. Please contact NAG if you have any questions about compatibility.
The function evaluates by using where is the larger of and , and is the smaller of and . This ensures against unnecessary overflow and loss of accuracy when calculating .
- References
Wilkinson, J H and Reinsch, C, 1971, Handbook for Automatic Computation II, Linear Algebra, Springer–Verlag