ChordAL | Code accompanying ICCC 2019 Creative Submission paper | Machine Learning library
kandi X-RAY | ChordAL Summary
kandi X-RAY | ChordAL Summary
It seems to be very intuitive for human composers to write songs based on chord progressions. However, not much work is done on exploring how we could generate melodies based on given chord progressions. Here we propose ChordAL, which is a chord-based learning system for music composition using deep learning.
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Currently covering the most popular Java, JavaScript and Python libraries. See a Sample of ChordAL
ChordAL Key Features
ChordAL Examples and Code Snippets
def Chordal(G):
"""Test if a given graph is chordal."""
if not isUndirected(G):
raise ValueError("Input to Chordal is not an undirected graph")
try:
PerfectEliminationOrdering(G)
except:
return False
return
def testChordal(self):
"""Check that Chordal() returns the correct answer on each test graph."""
for G,isChordal in ChordalTest.graphs:
self.assertEqual(Chordal(G), isChordal)
Community Discussions
Trending Discussions on ChordAL
QUESTION
My question is about why every SSA form program corresponds to a chordal graph by default. Wikipedia defines chordal graphs as
a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle
Here's a simple example taken from some lecture notes I was following for the sake of understanding the benefit of SSA form to register allocation. The authors write:
[...] the following program and corresponding chordal graph:
First: I don't understand how is this graph is chordal. I realize that the program is not in SSA form. Then the author converts it to SSA form to get this interference graph
But again I can't see how this is a chordal graph or how the first graph is related to any of the later graphs.
All of this has made it very difficult to understand how SSA programs give rise to chordal intersection graphs.
Here's some of the sources that I've looked into:
...ANSWER
Answered 2018-Dec-04 at 00:19Regarding the program you listed from Section 6 of the lecture notes:
I don't understand how is this graph is chordal. I realize that the program is not in SSA form.
You're correct that the original program is not in SSA form. You're also justifiably confused as to why its "chordal graph" is chordal: it isn't. The authors have made a small mistake. Where they wrote "chordal graph" in reference to that first program, they meant to write "interference graph".
This second graph you're referring to is trivially chordal because it doesn't contain any cycles. Remember the definition of a chordal graph you gave:
a chordal graph is one in which all cycles of four or more vertices have a chord, which is an edge that is not part of the cycle but connects two vertices of the cycle
If there are zero cycles, then vacuously all of those cycles contain a chord.
QUESTION
I am trying to generate a Catmull-Rom curve from a list of points in Unity. As I do not want to store points in between points of the curve I opted to use a solution that could calculate a position in a Catmull-Rom curve based on time. There are a few examples of this, here and here, however, neither shows how to implement alpha.
The reason I want to implement alpha is so I can have the ability to change between a centripetal, chordal, and uniform Catmull-Rom curve.
...ANSWER
Answered 2018-Jun-03 at 15:42To anyone who comes here, the answer actually comes from the maths in one of the links from the original question. It is an answer from an SO question Catmull-rom curve with no cusps and no self-intersections . So credits to cfh.
The code posted in my original question is a great way to calculate points in a uniform Catmull-Rom spline, however, it did not factor in alpha. Therefore, it could not be used for chordal, or centripetal, (or anything in between) Catmull-Rom splines. The code below does take into account alpha and therefore supports both chordal and centripetal Catmull-Rom splines.
Without further ado, here is the code ported into C# for Unity.
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