portage.md

Rosetta Stone for converting Scilab function names to Julia

(min,+) core functions

Scilab/ScicosLab/NSP does not implement (min,+) algebra natively.

(max,+) core functions

In the Julia REPL, type ? and the name of the function to show its documentation and examples. Functions are given in the alphabetical order of ScicosLab functions.

ScicosLab	Julia	Comment
astarb	astarb	Return the x of the equation x = A x + b
/ (division)	Base.:(/)	(max,+) division operator on scalar, dense or sparse matrix.
full	full, dense, Array	Transform a (max,+) sparse matrix to a (max,+) dense matrix.
howard	howard mpeigen	Return eigenvalues and eigenvectors from a sparse matrix using Howard algorithm.
inv	Base.inv, Base.:(^,-1)	Compute the inverse of the (max,+) matrix
karp	howard mpeigen	Karp algorithm is not implemented since Howard algorithm is faster.
	LaTeX, show MIME"text/latex"	Output a (max,+) matrix to LaTeX code.
# (maxplus)	MP	Create a (max,+) number or dense array or sparse array.
& (min)	Base.min	Return the min of two (max,+) scalars or matrix.
- (minus)	Base.:(-)	(max,+) minus unary and binary operators on scalar, dense or sparse matrix.
mnorm	norm	Compute the norm of a (max,+) dense or sparse matrix.
mptrace	tr	Compute the trace of a (max,+) dense or sparse matrix.
percent0, %0	Base.zero, zero, mp0, MaxPlus.ε	Return the (max,+) element zero.
percent1, %1	Base.one, one, mp1, mpe	Return the (max,+) element one.
percenteye, %eye	eye	Return the (max,+) identity matrix.
	mpI	The diagonal elements used for creating (max,+) identity matrix.
percentones, %ones	ones	Return the once (max,+) matrix or column vector.
percenttop, %top	mptop	Return the min+ element zero.
percentzeros, %zeros	spzeros	Return the zero (max,+) sparse matrix or column vector (Julia builtin).
	zeros	Return the zero (max,+) dense matrix or column vector.
+ (plus)	Base.:(+)	(max,+) plus operator on scalar, dense or sparse matrix.
plus	plus	Compute the (max,+) matrix A^+
plustimes	plustimes	Convert a (max,+) number or matrix to a standard number or matrix (where plus and times operators are the classic operators).
^ (power)	Base.:(^)	Compute the power of a (max,+) number or matrix.
	Base.show	Display a (max,+) number or sparse or dense matrix.
	SparseArrays.sparse	Create a (max,+) sparse matrix or convert a (max,+) dense matrix.
\ (residu)	Base.:(\)	Return the x of the equation A x = b
semihoward	semihoward	Critical cycles
star	star	Compute the (max,+) matrix A^*
* (times)	Base.:(*)	(max,+) times operator on scalar, dense or sparse matrix.
typeof	Base.typeof	Return the type of the (max,+) number.

Dynamic linear (max,+) system

ScicosLab	Julia	Comment
mpsyslin	MPSysLin	Structure holding state matrices of the syslin. In Scilab its a function.
	LaTeX	Output a (max,+) syslin to a LaTeX formula.
simul	mpsimul	Simulation of the (max,+) linear system.
explicit	mpexplicit	Conversion of an implicit dynamic linear (max,+) system to an explicit form (where D state matrix is zero'ed).
	Base.show	Display the (max,+) syslin.
plus, +	Base.:(+)	(max,+) plus operator, or product with a (max,+) scalar or (max,+) matrix.
times, *	Base.:(*)	Series composition.
		Base.:(
/.	Base.:(/)	Feedback composition.
[;]	Base.:vcat, [;]	Inputs in common and concatenation of outputs.
[,]	Base.:hcat, [,]	Concatenation of inputs and addition of outputs.
typeof	typeof	Return the type of the (max,+) syslin.

Flowshop

ScicosLab	Julia	Comment
flowshop		Flowshop maxplus linear system builder.
	LaTeX	Generate the flowshop graph as a LaTeX formula.
flowshop_graph		Flowshop graph builder.
flowshop_simu		Maxplus linear system simulation.
saturation_graph		Saturation graph.
show_cr_graph		Flowshop critical graph.
strong_connex_graph		Strong connected component extracting.

Incompatibility

Function	ScicosLab	NSP	Julia	Comment
length(mpzeros(2,2))	2	4	4	4 is the correct answer
norm, trace, min	not implemented	not implemented	implemented
MP^(-x)	not implemented	not implemented	implemented	Negative power (x > 0)