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ENH: Category for manipulating categories using boolean operators #218

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merged 6 commits into from
May 26, 2020

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zerothi
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@zerothi zerothi commented May 7, 2020

This will allow users to generate boolean expressions and select, say, atoms based on simple arithmetic formulas.

This is better described with examples.

import numpy as np
import sisl as si
from sisl.geom.category import *

# Generate some boolean expressions
B = AtomZ(5) # atoms with Z == 5
B2 = AtomNeighbours(2, neigh_cat=B) # atoms with 2 neighbours, both being Z == 5
N = AtomZ(7) # atoms with Z == 7
N2 = AtomNeighbours(2, neigh_cat=N) # atoms with 2 neighbours, both being Z == 7
B3 = AtomNeighbours(3, neigh_cat=B) # ...
N3 = AtomNeighbours(3, neigh_cat=N) # ...

n2 = AtomNeighbours(2) # atoms with 2 neighbours (regardless of neighbour category)
n3 = AtomNeighbours(3) # ...
# n3 == This category _has_ to have 3 neighbours (no specific type)
# AtomNe...() == at least one of the neighbours has to have only 2 neighbours
n3n2 = n3 & AtomNeighbours(1, 3, neigh_cat=n2)
# AtomNe...() == all 3 neighbours must have 3 neighbours with at least one those having only 2 neighbours
# yeah, wrap your head around that one!!!
# It isn't fully correct, I still need to clear a few things
n3n3n2 = AtomNeighbours(3, neigh_cat=n3n2)

# Say if you want one to find only Carbon atoms with 2 neighbours, do this
C_n2 = n2 & AtomZ(6)
# If you want to find atoms with 2 neighbours and they *must* not be Carbon atoms, do this
notC_n2 = n2 ^ AtomZ(6)

# Ok, so now we have defined a few categories
# Lets play...

# Generate HBN
hBN = si.geom.honeycomb(1.42, atom=[si.Atom(5, R=1.43), si.Atom(7, R=1.43)]) * (10, 11, 1)
# remove 10 random atoms
idx = np.random.randint(0, len(hBN), size=10)
hBN = hBN.remove(idx)

# return a list of either NullCategory or `n2` categories
cat = n2.categorize(hBN)
# retrieve all indices where the category is not null
idx_n2 = np.array(cat != NullCategory()).nonzero()[0]

This was inspired by #202 to make it more general. However, this may also be used to get indices of atoms for neighbouring sites to holes etc. This would allow easier extraction of DOS for the given atoms.

@tfrederiksen @jonaslb @pfebrer96 I would like your thoughts on this line of progress. And also if you have some ideas! ;)

The relevant files are in sisl/category/base.py (will probably be moved to sisl/category.py)
and sisl/geom/category/*.py.

@zerothi zerothi self-assigned this May 7, 2020
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codecov bot commented May 7, 2020

Codecov Report

Merging #218 into master will decrease coverage by 0.81%.
The diff coverage is 38.44%.

Impacted file tree graph

@@            Coverage Diff             @@
##           master     #218      +/-   ##
==========================================
- Coverage   85.10%   84.29%   -0.82%     
==========================================
  Files         124      129       +5     
  Lines       20264    20623     +359     
==========================================
+ Hits        17246    17384     +138     
- Misses       3018     3239     +221     
Impacted Files Coverage Δ
sisl/geom/category/_neighbours.py 20.00% <20.00%> (ø)
sisl/_category.py 36.77% <36.77%> (ø)
sisl/geometry.py 86.69% <46.15%> (-0.32%) ⬇️
sisl/geom/category/_kind.py 53.06% <53.06%> (ø)
sisl/geom/category/base.py 60.00% <60.00%> (ø)
sisl/geom/__init__.py 100.00% <100.00%> (ø)
sisl/geom/category/__init__.py 100.00% <100.00%> (ø)
... and 2 more

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@pfebrer
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pfebrer commented May 7, 2020

Seems like could be useful to save the user some for loops!

I still have to read the code more to understand some things, but: don't you think it could be useful that Category had also a filter method so that instead of:

# return a list of either NullCategory or `n2` categories
cat = n2.categorize(hBN)
# retrieve all indices where the category is not null
idx_n2 = np.array(cat != NullCategory()).nonzero()[0]

you could do

idx_2 = n2.filter(hBN)

Maybe the filter (or sub) method could actually return the filtered geometry and something like extract_from, indices or ìn could return the indices. I.e.:

filtered_geom = n2.sub(hBN)
#
idx_2 = n2.in(hBN)

(I'm proposing in meaning "indices IN hBN that fulfill the condition", not as a shortcut for "indices")

And maybe using it on the reverse order

# For receiving geometries
filtered_geom = hBN.sub(n2) # _sanitize_atoms accepts this categories?
# or
filtered_geom = hBN.sub(!n2)
filtered_geom = hBN.without(n2) 

idx_2 = hBN.where(n2)
# or
idx_opposite = hBN.where(!n2)

@pfebrer
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pfebrer commented May 7, 2020

By the way, this kind of functionality is very similar to what a pandas dataframe would do isn't it?

This is a wild idea, I know, but maybe it could be useful to generate dataframes containing some attributes of the geometry:

df = geom.to_df(cols=["Z", "neighs", "angles", "force"])

Geometry would know how to build these dataframes because it knows what the attributes mean. Then the user would have all the power of dataframes to do not only complex filters but also groupby, describe, etc...

@zerothi
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zerothi commented May 7, 2020

idx_2 = n2.filter(hBN)

Something like this would be an ok idea. I am not too sure about the method name... Filter don't quite cut it ... hmm... Probably your in would be good.

Maybe the filter (or sub) method could actually return the filtered geometry and something like extract_from, indices or ìn could return the indices. I.e.:

filtered_geom = n2.sub(hBN)
#
idx_2 = n2.in(hBN)

I think the category shouldn't do too many things that it isn't intended to do. It should do categorization, and that's it. I.e. geom.sub(n2) is just as clear (if not clearer)!

(I'm proposing in meaning "indices IN hBN that fulfill the condition", not as a shortcut for "indices")

And maybe using it on the reverse order

# For receiving geometries
filtered_geom = hBN.sub(n2) # _sanitize_atoms accepts this categories?

Yes, this was actually my intent ;)

# or
filtered_geom = hBN.sub(!n2)
filtered_geom = hBN.without(n2) 

idx_2 = hBN.where(n2)
# or
idx_opposite = hBN.where(!n2)

hBN.sub(...) is the reverse of hBN.remove(!...), so that should do. I would really try and limit the number of added functions for the Geometry class. It is already quite bloated... :(

I still need to figure out how to do !n2. I probably need to create a new Category class that emulates this...

Thanks for the feedback!!

@zerothi
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zerothi commented May 7, 2020

By the way, this kind of functionality is very similar to what a pandas dataframe would do isn't it?

This is a wild idea, I know, but maybe it could be useful to generate dataframes containing some attributes of the geometry:

df = geom.to_df(cols=["Z", "neighs", "angles", "force"])

Geometry would know how to build these dataframes because it knows what the attributes mean. Then the user would have all the power of dataframes to do not only complex filters but also groupby, describe, etc...

Yeah, this could perhaps be a good idea. :)

@pfebrer
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pfebrer commented May 7, 2020

I guess each dataframe column should be build by the corresponding attribute (#196), not Geometry itself.

(there are lots of references to that issue haha)

@zerothi
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zerothi commented May 7, 2020

I still need to figure out how to do !n2. I probably need to create a new Category class that emulates this...

So I got it ;)

Now one can do:

~n2

which is the opposite (__invert__) of n2. ;)

@jonaslb
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jonaslb commented May 8, 2020

  • It seems that currently it is possible for atom a to have b as neigbor while b doesn't have a as neighbor (if they have unequal maxR and the separation is between the two maxR). Maybe it'd be best to settle on some consistent definition of 'neighbors' so that one doesn't get this situation accidentally?

  • I think having AtomZ (and presumably there should be AtomSymbol and AtomNOrbs and AtomXXX) is too much typing if you need to match several properties. Maybe it'd be better to have a single AtomCat(Z=None, symbol=None, norb=None, neighbors=None, etc). Maybe there could then be a consistent AtomCat(Z__gt=3) for 'greater than' filtering. Or AtomCat(symbol__contains="Ghost") or similar for string filtering. This would be very similar to using the ORM in Django, where database queries are made that way (Eg a query on people adult_johns = Person.objects.filter(age__gte=18, gender=Person.GENDER_MALE, firstname__iexact="john")).

  • As pfebrer is making some suggestions on, it needs to be very easy to apply these criteria to a geometry. Already it is not so difficult to do geom.sub(geom.atom.Z > 5) (or geom.a2o etc), and for simple things like that, it should not be much more complicated to use the categories. Of course the strength is really in the more complicated things like neighbors, but this should be easy as well :) (at least I shouldn't have to type out NullCategory())

  • There are a few of commits in the PR which I think are unrelated (eg dynamical matrix reading?)

  • The example with the xor operator is explained like "and must not", but these are different: When a is false and b is true, then a^b is true , but a & ~b is false.

  • __or__ is commented out?

Overall I think it looks promising :) My advice is just to focus on making application as easy/easier as the example with Z>5, while making sure that powerful expressions are still nearly equally as easy to type out and apply to a geometry.

@pfebrer
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pfebrer commented May 11, 2020

I don't know if this belongs to this discussion, but since I already said something about it, I'm going to comment it here. It's regarding this:

By the way, this kind of functionality is very similar to what a pandas dataframe would do isn't it?

This is a wild idea, I know, but maybe it could be useful to generate dataframes containing some attributes of the geometry:

df = geom.to_df(cols=["Z", "neighs", "angles", "force"])

Geometry would know how to build these dataframes because it knows what the attributes mean. Then the user would have all the power of dataframes to do not only complex filters but also groupby, describe, etc...

I just thought that, apart from filtering, this feature in sisl objects could be extremely useful for visualizing. Here's why: For the visualization module I am using plotly. Plotly has a high-level API under plotly.express (https://plotly.com/python/plotly-express/). Plotly express implements some plots like scatter, line, histograms, polar, maps... and more. Basically how it works is that, given a pandas DataFrame, you define your plot as columns of this dataframe. An example of this:

import plotly.express as px

px.scatter3d(df, x="The x column", y="The y column", z="The z column",
         color="Column that defines color", animation_frame="The column that defines the frames", 
         symbol=..., etc  )

So, if sisl objects had a to_df method as proposed, it would be trivial to implement a "sisl.express" in the visualization module that would just parse the object into a dataframe before passing it to any plotly.express method. The possibilities would be endless with very simple code:

import sisl
import sisl.viz.express as sx

geom = sisl.Geometry()
sx.scatter(geom, x="z", y="neighs", color="species")
# or
sx.histogram(geom, x="z", color="species", 
     ...other very useful kwargs of plotly express like marginal="violin") 

And really all that would be happening would be that this line:

sx.*(sisl_obj, x="z", y="neighs", color="species")

is converted into this other line:

px.*(sisl_obj.to_df(cols=["z", "neighs", "species"]), x="z", y="neighs", color="species")

I don't know, seems pretty exciting to me :)

@zerothi
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zerothi commented May 14, 2020

Thanks Jonas for your insights!

  • It seems that currently it is possible for atom a to have b as neigbor while b doesn't have a as neighbor (if they have unequal maxR and the separation is between the two maxR). Maybe it'd be best to settle on some consistent definition of 'neighbors' so that one doesn't get this situation accidentally?

Yes, this is a problem I had since the inception of sisl.
In one way sisl is doing it wrong since one should figure out the overlap of two orbitals. If they overlap they have a matrix element.
With such a definition one would not have this problem.
Probably the neighbor thingy may have an R as input.

I don't know if I should change the maxR behaviour such that one has to find overlaps of orbitals? What do you think? It would make everything consistent (and also with Siesta). However, it would break current codes since maxR is not used like that currently.

One could have a global switch for this, e.g. sisl.options.NEIGBOUR = "overlap"|"individual"? Which defaults to "individual"?

  • I think having AtomZ (and presumably there should be AtomSymbol and AtomNOrbs and AtomXXX) is too much typing if you need to match several properties. Maybe it'd be better to have a single AtomCat(Z=None, symbol=None, norb=None, neighbors=None, etc). Maybe there could then be a consistent AtomCat(Z__gt=3) for 'greater than' filtering. Or AtomCat(symbol__contains="Ghost") or similar for string filtering. This would be very similar to using the ORM in Django, where database queries are made that way (Eg a query on people adult_johns = Person.objects.filter(age__gte=18, gender=Person.GENDER_MALE, firstname__iexact="john")).

I don't think the typing issue is really bad. You build your properties and combine.

prop = AtomCat(Z=3, norb=4)
# vs.
prop = AtomZ(3) & AtomOrbs(4)

that's very little difference in typing, also I think the latter is more clear. Generally I also think these categories will be mildly used. So users with experience may easily create wrappers.
What we could do is generate a parent dispatcher:

AtomCat.Z(3).and.NOrbs(4).xor.Z(4)

I like your idea about __* to change comparisons. Then when doing AtomZ(3) one could just do AtomZ(gt=3) since it is implicit with Z?

  • As pfebrer is making some suggestions on, it needs to be very easy to apply these criteria to a geometry. Already it is not so difficult to do geom.sub(geom.atom.Z > 5) (or geom.a2o etc), and for simple things like that, it should not be much more complicated to use the categories. Of course the strength is really in the more complicated things like neighbors, but this should be easy as well :) (at least I shouldn't have to type out NullCategory())

Clarity is better than anything else ;)

  • There are a few of commits in the PR which I think are unrelated (eg dynamical matrix reading?)

Yeah, I can see that, I don't get why this is. I'll try and fix it... Thanks for pointing this out!

  • The example with the xor operator is explained like "and must not", but these are different: When a is false and b is true, then a^b is true , but a & ~b is false.

Correct, thanks!

  • __or__ is commented out?

Yes, this is because I am not really sure what to do.
Currently & returns the AndCategory, ^ returns the category which is not NullCategory(), however, what should I do for |? I.e. if both are "true", I should return OrCategory, but if one of them are true, should I then return the "true" object.
This makes it a bit problematic since the return value of the categorize may be used to figure out which category it fits in. I.e. the ^ reduces to the true one (or Null), so you always know what to compare with:

n2 = AtomNeighbours(2)
C_n2 = n2 & AtomZ(6)
notC_n2 = n2 ^ AtomZ(6)
...
cats = (C_n2 ^ notC_n2).categorize(hBN)
for cat in cats:
    if cat == C_n2:
        # for sure this is both n2 and Z=6
    elif cat == n2:
        # this will be returned if it has 2 neighbours but Z!=6
   elif cat == AtomZ(6):
       # neighbours not 2 but Z=6

this is of course a contrived example.

Overall I think it looks promising :) My advice is just to focus on making application as easy/easier as the example with Z>5, while making sure that powerful expressions are still nearly equally as easy to type out and apply to a geometry.

Thanks for your comments!

@jonaslb
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jonaslb commented May 14, 2020

Maybe there could be two categories, an "overlaps" for the overlap situation, and a "neighborhood" where R then should be specified? I think this would cover the relevant use cases.

About which is clearer, keywords or multiple objects, maybe it is a matter of what one is used to. Perhaps at a later point there can be a AtomsKwFilter for my liking ;) I like chaining things, but I don't like that there's some intermediary useless object eg. category.xor is possible but not meaningful (although cat.xor(Z=5) would make sense).

Regarding the or-category -- you know how the or keyword works? Eg. 0 or 1 or 2 is 1 while 2 or 1 or 0 is 2. In other words it picks the first truthy object and returns it. I realize here we're overloading the binary or operator, so its not exactly the same, but maybe doing the same would be an idea?

@pfebrer
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pfebrer commented May 14, 2020

I like your idea about __* to change comparisons. Then when doing AtomZ(3) one could just do AtomZ(gt=3) since it is implicit with Z?

On a scale from 1 to 10, how unpythonic would it be that AtomZ > 3 returned a category?

So that you could do:

geom.sub(AtomZ > 3)

I don't know if that's even possible if AtomZ is a class. It probably would need to be an instance. Like so:

class AtomZSingleton:
    
    def __gt__(self, val):
        
        return AtomZCat(gt=val)
    
    def __call__(self, *args, **kwargs):
        
        return AtomZCat(*args, **kwargs)

class AtomZCat:
    
    def __init__(self, **kwargs):
        
        self.gt = kwargs["gt"]
        
AtomZ = AtomZSingleton()

and then you could use it in both ways:

geom.sub(AtomZ(gt=3))

geom.sub(AtomZ > 3)

I don't know, it looks good to me since it maintains all the previous functionality and adds that extra possibility of using it in an even simpler way if suitable. What do you think?

@pfebrer
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pfebrer commented May 14, 2020

By the way, regarding what Jonas said:

Perhaps at a later point there can be a AtomsKwFilter for my liking

I also think that something like this should exist. I always think that having objects is much more convenient and clear for regular usage. However, there are some cases where you need to define things dinamically and your happiness is infinite when you discover that somebody has thought about it to make your life easier.

Just as an example, it's obvious that the most convenient and clean way to import modules is:

import sisl

but if you need to import a package dinamically based on user input

importlib.import_module(package)

is priceless.

@zerothi
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zerothi commented May 15, 2020

Maybe there could be two categories, an "overlaps" for the overlap situation, and a "neighborhood" where R then should be specified? I think this would cover the relevant use cases.

I was more thinking globally so geometry.close also does either neighborhood vs. overlap?

About which is clearer, keywords or multiple objects, maybe it is a matter of what one is used to. Perhaps at a later point there can be a AtomsKwFilter for my liking ;) I like chaining things, but I don't like that there's some intermediary useless object eg. category.xor is possible but not meaningful (although cat.xor(Z=5) would make sense).

Actually I agree, it was a bad example ;)

Regarding the or-category -- you know how the or keyword works? Eg. 0 or 1 or 2 is 1 while 2 or 1 or 0 is 2. In other words it picks the first truthy object and returns it. I realize here we're overloading the binary or operator, so its not exactly the same, but maybe doing the same would be an idea?

Thanks! I didn't think about it this way. I'll do this :)

@zerothi
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zerothi commented May 15, 2020

I like your idea about __* to change comparisons. Then when doing AtomZ(3) one could just do AtomZ(gt=3) since it is implicit with Z?

On a scale from 1 to 10, how unpythonic would it be that AtomZ > 3 returned a category?

So that you could do:

geom.sub(AtomZ > 3)

I don't know if that's even possible if AtomZ is a class. It probably would need to be an instance. Like so:

I think it would be doable, but you'd have to use metaclasses for this (or your work-around). Hmm. I don't particularly like the complexity it adds, I don't know if metaclasses for this would give unwanted consequences. ;)

class AtomZSingleton:
    
    def __gt__(self, val):
        
        return AtomZCat(gt=val)
    
    def __call__(self, *args, **kwargs):
        
        return AtomZCat(*args, **kwargs)

class AtomZCat:
    
    def __init__(self, **kwargs):
        
        self.gt = kwargs["gt"]
        
AtomZ = AtomZSingleton()

and then you could use it in both ways:

geom.sub(AtomZ(gt=3))

geom.sub(AtomZ > 3)

Hmm.. Yes, this could work. But it would require many classes, 2 classes per Category?

I don't know, it looks good to me since it maintains all the previous functionality and adds that extra possibility of using it in an even simpler way if suitable. What do you think?

I don't think we should go there yet, having 1 solution which works good is ideal. Also, your example works good for single elements, but for kwargs you would have to do something like:

AtomNeighbours == {"min": 3, ...}

which I don't think improves readability... ;)

@zerothi
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zerothi commented May 15, 2020

About which is clearer, keywords or multiple objects, maybe it is a matter of what one is used to. Perhaps at a later point there can be a AtomsKwFilter for my liking ;)

I have now enabled the kwfilter thingy by this:

AtomCategory.kw(Z=5, neighbours={"max": 2, "min": 1})
AtomZ(5) & AtomNeighbours(1, 2)

where the two are equivalent.
I have extended the base category so that keywords are automatically searching the sub-classes of the class calling kw. So if one does a sub-class in ones own script, you'll also be able to use that on a keyword basis in the above ;) Cool ;)
Although the names has to be uniquely found (I am now using lower().endswith) which probably isn't the best. But I think this is required since key.lower() in cls.__name__.lower() could give problems for all sub-categories which have a Z in their name... ;)

Perhaps the kw method name is a bit non-descriptive, could we improve it a bit?

@pfebrer
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pfebrer commented May 15, 2020

Hmm.. Yes, this could work. But it would require many classes, 2 classes per Category?

But this could be easily automathized, couldn't it?

With a "singleton builder":

def category_singleton_factory(Cat):
    
    class CatSingleton:

        def __call__(self, *args, **kwargs):

            return Cat(*args, **kwargs)
        
        def __gt__(self, val):
            return Cat(gt=val)
        
        def __lt__(self, val):
            return Cat(lt=val)
        
        def __eq__(self,val):
            return Cat(val)
        
        def __ne__(self, val):
            return ~Cat(val)
        
        def __repr__(self):
            return Cat().__repr__()
        
    #CatSingleton.__doc__ += Cat.__doc__ # Add the documentation of the category
    CatSingleton.__name__ = Cat.__name__
    
    return CatSingleton()

And then for each class you would just need to:

class AtomZCat:
    
    def __init__(self, **kwargs):
        print(kwargs)
    
AtomZ = category_singleton_factory(AtomZCat)

Also, your example works good for single elements, but for kwargs you would have to do something like:

Yes, of course this is only helpful for simple cases, but I think it already gives good advantages in usability. For your example of a range there could be shortcuts like:

AtomZ == [3,5] #But maybe that shouldn't be a range
AtomZ == range(3,5) # This is really not helpful

# Maybe something like (you don't need the singleton implementation for this)
AtomZ.range(3,5)

Or AtomZCat could implement comparison with int so that this could work 3 < AtomZ < 5. 3 < AtomZ would return a category, and then AtomZCat would take care of the second comparison.

But still, my idea was just for simple comparisons, then it starts getting less advantageous relative to the current approach.

@zerothi
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zerothi commented May 15, 2020

But still, my idea was just for simple comparisons, then it starts getting less advantageous relative to the current approach.

I must admit I don't particularly like this. So I will say this is a no-go. AtomZ(range(1, 3)) is now possible.

I'll have to think about the other things. There are many things one can do. But it should also be maintainable. ;)

zerothi added 6 commits May 26, 2020 14:43
This could be extended for more elaborate uses.
It is currently not that fast but performance could be
improved using the InstanceCache class that wraps
a class and lru_caches methods.

It seems to work rather nice.

One can do complicated things with very little effort.
However, there are things that is not taking into account.
For instance we need to handle "not Category" to do the opposite
category.
One cannot override ! (easily), but ~ is also
used substantially.
The OrCategory follows regular Python semantics, 1 or 2 == 1.

Now one can do AtomCategory.kw(Z=5, neighbours={"min":2})

Thanks to Jonas for these suggestions.
NullCategory now compares to None for easier comparison.

Moved AtomCategory to sisl/geometry.py since this is
required for _sanitize_atom.

Added categorize to _sanitize_atom.
@zerothi zerothi changed the title WIP: Category for manipulating categories using boolean operators ENH: Category for manipulating categories using boolean operators May 26, 2020
@zerothi zerothi marked this pull request as ready for review May 26, 2020 13:06
@zerothi zerothi merged commit 58bf59c into master May 26, 2020
@tfrederiksen
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Sorry, I didn't find the time yet to explore this development, but I am sure it is great! I will revisit #202 to make use of this functionality.

@zerothi zerothi deleted the category branch May 27, 2020 10:52
@zerothi
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zerothi commented May 27, 2020

@tfrederiksen no worries ;)

If you don't mind, I would like some feedback on this first. Then we adjust categories, and finally we can do the bond-completion. :) Then I think it could be rather cool ;)

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4 participants