Implement the McLain test functions

[damar-wicaksono]

Implement all the test functions that appear in McLain's 1974 paper¹. The implementation should be put in a single module. Most of the functions are actually similar to four of the six Franke's test functions². The latter slightly modify the function and translates the inputs to $[0, 1]$ (instead of the original $[1, 10]$:

• S1: a part of sphere (resolved by PR Add an implementation of the McLain S1 function #193)
• S2: A steep hill rising from a plain (resolved by PR Add an implementation of McLain S2 function. #194)
• S3: A less steep hill (resolved by PR Add an implementation of McLain S3 function. #195)
• S4: A long narrow hill (resolved by PR Add an implementation of the McLain S4 function. #196)
• S5: A plateau and plain separated by a steep cliff (resolved by PR Add an implementation of the McLain S5 function #192)

Footnotes

1. D. H. McLain, Drawing contours from arbitrary data points, The Computer Journal, vol. 17, no. 4, pp. 318-324, 1974. DOI: 10.1093/comjnl/17.4.318 ↩

2. Richard Franke, A critical comparison of some methods for interpolation of scattered data, Technical Report No. NPS53-79-003, Naval Postgraduate School, Monterey, Canada, 1979. URL. ↩

[damar-wicaksono]

This issue has been resolved by a series of PR's (#192, #193, #194, #195, #196, and #197). Closing this issue.