signthr
by Tim C. Lueth, SG-Lib Toolbox: SolidGeometry 5.6 - Auxiliary function
Introduced first in SolidGeometry 1.1, Creation date: 2014-01-08, Last change: 2025-09-14
returns a sign fnct related to a threshold
Example Illustration
Syntax
s=signthr(x)
Input Parameter
Output Parameter
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Algorithm (Workflow)
This algorithm is a simple function named signthr that determines the sign of a given input value x based on a specified threshold. The function is part of the SG-Library and was created by Tim Lueth on January 8, 2014, as an auxiliary procedure.
Input Parameters
- x: The input value for which the sign is to be determined.
Output Results
- s: The sign of the input value
x, determined based on the threshold.
Algorithm Explanation
The function signthr operates as follows:
- A threshold value
thr is defined as 1e-12.
- The function checks the value of
x against this threshold:
- If
x is greater than thr, the function returns +1.
- If
x is less than -thr, the function returns -1.
- If
x is between -thr and thr (inclusive), the function returns 0.
This approach effectively categorizes the input value x into positive, negative, or zero based on its magnitude relative to the threshold.
Algorithm explaination created using ChatGPT on 2025-08-18 21:45. (Please note: No guarantee for the correctness of this explanation)
Last html export of this page out of FM database by TL: 2025-09-21