Opened 5 years ago
Last modified 2 weeks ago
#20877 new task
Meta-ticket: Piecewise functions, polyhedral complexes, piecewise functions of several variables, periodic piecewise functions — at Version 23
Reported by: | mkoeppe | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-9.4 |
Component: | geometry | Keywords: | piecewise |
Cc: | tscrim, rws, vbraun, vdelecroix, jhpalmieri, kcrisman, paulmasson, tmonteil, moritz, jipilab | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
This is a meta-ticket about piecewise functions.
Fractional part, modulo, ...:
- #9935: Make a symbolic mod function
- #21232: Fractional part function {x}
- #21274: frac(x) immediate simplifications
- #21745: Standardize modulo operator % on real numbers (step 1)
- #21747: Standardize modulo operator % on real numbers (step 2)
- #21748: change the mod method of rationals
Piecewise functions of 1 variable:
- #1773: piecewise functions and integration / arithmetic do not play well together
- #8603: Partial sums are off for Fourier series of piecewise functions
- #11225: improve piecewise plotting
- #6895: Detect discontinuities when plotting the ceil function
- #10597: Riemann sums, added trapezoid option
- #21215: Periodic piecewise functions
- #21412: Convert piecewise functions to SymPy?
- #21618: plot in piecewise regression (?)
- #21709: Categories for piecewise functions
RealSet
s, underlying the current implementation of piecewise
:
- #16063: Unify the classes
RealSet
andUnionOfIntervals
- #21249:
RealSet
s fail theirTestSuite
:_test_category
,_test_pickling
- #21242: Allow initializing
RealSet
fromRealInterval
orRBF
elements (dup: #17791) - #21243:
RealSet
: addclosure
andinterior
methods - #21277:
sage_input
forRealSet
andpiecewise
As a generalization, this meta-ticket will implement piecewise functions of several real variables. The pieces are polyhedral complexes (not necessarily triangulations) or more generally polyhedral dissections (i.e., not necessarily face-to-face). In my application, the functions will be piecewise linear, possibly discontinuous; but the implementation should be general enough for splines.
Discussion welcome, in particular in regard to how this code should interact with the existing classes for abstract complexes (CW complexes) and PointConfiguration
.
- #20878:
PointConfiguration
: Addplot
method - #20879: Expose PPL's Not-Necessarily-Closed Polyhedra using Sage Polyhedra -- could play the same role as half-open intervals do in the context of the new piecewise functions.
- #20892: package polymake 3.0
- #21151: Update TOPCOM to 0.17.7, disable outdated libsoplex support
- #10777: Implement
CombinatorialPolyhedron
- #18197: Add CGAL package
Change History (23)
comment:1 Changed 5 years ago by
- Cc tscrim added
- Description modified (diff)
comment:2 Changed 5 years ago by
- Description modified (diff)
comment:3 Changed 5 years ago by
- Description modified (diff)
comment:4 Changed 5 years ago by
- Description modified (diff)
comment:5 Changed 5 years ago by
- Description modified (diff)
comment:6 Changed 5 years ago by
- Description modified (diff)
comment:7 Changed 5 years ago by
- Description modified (diff)
comment:8 Changed 5 years ago by
- Description modified (diff)
- Summary changed from Meta-ticket: Polyhedral complexes, piecewise functions of several variables to Meta-ticket: Polyhedral complexes, piecewise functions of several variables, periodic piecewise functions
comment:9 Changed 5 years ago by
- Description modified (diff)
comment:10 Changed 5 years ago by
- Description modified (diff)
comment:11 Changed 5 years ago by
- Cc rws vbraun vdelecroix added
- Description modified (diff)
- Milestone changed from sage-7.3 to sage-7.4
comment:12 Changed 5 years ago by
- Description modified (diff)
comment:13 Changed 5 years ago by
- Description modified (diff)
comment:14 Changed 5 years ago by
- Description modified (diff)
comment:15 Changed 5 years ago by
- Description modified (diff)
comment:16 Changed 5 years ago by
- Description modified (diff)
comment:17 Changed 5 years ago by
- Description modified (diff)
comment:18 Changed 5 years ago by
- Cc jhpalmieri added
comment:19 Changed 5 years ago by
- Cc kcrisman paulmasson added
comment:20 Changed 5 years ago by
- Description modified (diff)
- Summary changed from Meta-ticket: Polyhedral complexes, piecewise functions of several variables, periodic piecewise functions to Meta-ticket: Piecewise functions, polyhedral complexes, piecewise functions of several variables, periodic piecewise functions
comment:21 Changed 5 years ago by
- Description modified (diff)
comment:22 Changed 5 years ago by
- Cc tmonteil added
- Description modified (diff)
comment:23 Changed 5 years ago by
- Description modified (diff)