Current issues needing to be fixed

kriukov / interval-methods

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Current issues needing to be fixed #1

Closed dpsanders closed 9 years ago

dpsanders commented 10 years ago

Need doing:

[x] Fix sin and cos problem so that Newton works
[x] Newton that terminates when it should terminate, not with a fixed number of iterations
[x] Make Interval, AD and Newton into proper Julia modules
[x] 1D Krawczyk method and compare with Newton -- which is better?
[x] Arbitrary-precision intervals with parametrised types
[x] Find all periodic orbits of the logistic map with arbitrary period using arbitrary precision
[x] 2D intervals
[x] 2D Krawczyk
[x] Write proper tests

kriukov commented 10 years ago

Issue 1

Changing the sin procedure from old to new gives an error "no method matching operator(::Nothing, ::Interval) (or vice versa). A similar error appears with another input function not including sin/cos.

It looks like the problem may be in the automatic differentiation code. I am using Dr. Benet's AD code now in an attempt to fix the error.

kriukov commented 9 years ago

1: done; sin is taken from https://github.com/dpsanders/ValidatedNumerics.jl; cos is based on it 2: works. 3: works 4: works, time comparison made. Newton is better. 5: works; precision is specified as an argument, default is 64 6: done 7: done; new stuff may be added whenever needed 8: works with some examples and fails with other; in progress 9: done