File: sci_cov.sci

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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2004-2006 - INRIA - Farid BELAHCENE
// 
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution.  The terms
// are also available at    
// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt

function [tree]=sci_cov(tree)
// M2SCI function
// Conversion function for Matlab cov()
// Input: tree = Matlab funcall tree
// Ouput: tree = Scilab equivalent for tree

if rhs==1 then
	A=getrhs(tree)
	if A.dims(1) == 1 then
		if A.dims(2) == 1 then
			tree.name="mvvacov"
			tree.lhs(1).dims=list(1,1)
		elseif A.dims(2) > 1 then
			tree.name="mvvacov"
			tree.rhs(1) = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
			n = A.dims(2)
			n_minus = n-1
			tree.lhs(1).dims=list(n,n)
			op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
			tree = Operation("*",list(op1,tree),tree.lhs)
		elseif A.dims(2) == Unknown then
			tree.name = "mtlb_cov"
		end
	elseif A.dims(1) > 1 then
		tree.name = "mvvacov"
		n = A.dims(1)
		n_minus = n-1
		tree.lhs(1).dims=list(n,n)
		op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
		tree = Operation("*",list(op1,tree),tree.lhs)
	elseif A.dims(1) == Unknown & A.dims(2) == Unknown
		tree.name = "mtlb_cov"
	end	
elseif rhs == 2 then
	[A,B] = getrhs(tree)
  	if B.dims(1) == 1 & B.dims(2) == 1
		if typeof(B) == "cste" & B.value == 1 then
			if A.dims(1) == 1 then
				if A.dims(2) == 1 then
					tree.name = "mvvacov"
					tree.rhs(2)=null()
					tree.lhs(1).dims=list(1,1)
				elseif A.dims(2) > 1 then
					tree.name = "mvvacov"
					tree.rhs(1) = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
					tree.rhs(2)=null()
					tree.lhs(1).dims=list(A.dims(2),A.dims(2))
				elseif A.dims(2) == Unknown then
					tree.name = "mtlb_cov"
				end
			elseif A.dims(1) > 1 then
				tree.name = "mvvacov"
				tree.rhs(2)=null()
				tree.lhs(1).dims=list(A.dims(1),A.dims(1))
			elseif A.dims(1) == Unknown & A.dims(2) == Unknown
				tree.name = "mtlb_cov"
			end	
		elseif typeof(B) == "cste" & B.value == 0 then
			if A.dims(1) == 1 then
				if A.dims(2) == 1 then
					tree.name="mvvacov"
					tree.rhs(2)=null()
					tree.lhs(1).dims=list(1,1)
				elseif A.dims(2) > 1 then
					tree.name="mvvacov"
					tree.rhs(2)=null()
					tree.rhs(1) = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
					n = A.dims(2)
					n_minus = n-1
					tree.lhs(1).dims=list(n,n)
					op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
					tree = Operation("*",list(op1,tree),tree.lhs)
				elseif A.dims(2) == Unknown then
					tree.name = "mtlb_cov"
				end
			elseif A.dims(1) > 1 then
				tree.name = "mvvacov"
				tree.rhs(2)=null()
				n = A.dims(1)
				n_minus = n-1
				tree.lhs(1).dims=list(n,n)
				op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
				tree = Operation("*",list(op1,tree),tree.lhs)
			elseif A.dims(1) == Unknown & A.dims(2) == Unknown
				tree.name = "mtlb_cov"
			end	
		else 
			tree.name = "mtlb_cov"
		end
	elseif B.dims(1)>1 | B.dims(2)>1 then
		tree.name = "mvvacov"
		n = B.dims(1)*B.dims(2)
		n_minus = n-1
		tree.lhs(1).dims=list(n,n)
		rhs1 = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
		rhs2 = Funcall("matrix",1,list(B,Cste(-1),Cste(1)),list())
		tree.rhs(1) = Operation("rc",list(rhs1,rhs2),list())
		tree.rhs(2) = null()
		op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
		tree = Operation("*",list(op1,tree),tree.lhs)
	else 
		tree.name = "mtlb_cov"
	end
elseif rhs==3
	[A,B,C]=getrhs(tree)
	if typeof(C) == "cste" & C.value == 1 then
		if B.dims(1)>1 | B.dims(2)>1 | A.dims(1)>1 | A.dims(2)>1
			tree.name = "mvvacov"
			rhs1 = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
			rhs2 = Funcall("matrix",1,list(B,Cste(-1),Cste(1)),list())
			tree.rhs(1) = Operation("rc",list(rhs1,rhs2),list())
			tree.rhs(3) = null()
			tree.rhs(2) = null()
			if A.dims(1)<> Unknown & A.dims(2)<>Unknown
				tree.lhs(1).dims = list(A.dims(1)*A.dims(2),A.dims(1)*A.dims(2))
			elseif B.dims(1)<>Unknown & B.dims(2)<>Unknown
				tree.lhs(1).dims = list(B.dims(1)*B.dims(2),B.dims(1)*B.dims(2))
			end
		else
			tree.name = "mtlb_cov"
		end
	elseif typeof(C) == "cste" & C.value == 0 then
		if B.dims(1)>1 | B.dims(2)>1 | A.dims(1)>1 | A.dims(2)>1
			if A.dims(1)<>Unknown  & A.dims(2)<>Unknown
				tree.name = "mvvacov"
				n = A.dims(1)*A.dims(2)
				n_minus = n-1
				tree.lhs(1).dims = list(n,n)
				rhs1 = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
				rhs2 = Funcall("matrix",1,list(B,Cste(-1),Cste(1)),list())
				tree.rhs(1) = Operation("rc",list(rhs1,rhs2),list())
				tree.rhs(3)=null()
				tree.rhs(2)=null()
				op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
				tree = Operation("*",list(op1,tree),tree.lhs)
			elseif B.dims(1)<>Unknown  & B.dims(2)<>Unknown
				tree.name = "mvvacov"
				n = B.dims(1)*B.dims(2)
				n_minus = n-1
				tree.lhs(1).dims = list(n,n)
				rhs1 = Funcall("matrix",1,list(A,Cste(-1),Cste(1)),list())
				rhs2 = Funcall("matrix",1,list(B,Cste(-1),Cste(1)),list())
				tree.rhs(1) = Operation("rc",list(rhs1,rhs2),list())
				tree.rhs(3)=null()
				tree.rhs(2)=null()
				op1 = Operation("/",list(Cste(n),Cste(n_minus)),list())
				tree = Operation("*",list(op1,tree),tree.lhs)
			else
				tree.name = "mtlb_cov"
			end
		else
			tree.name = "mtlb_cov"
		end
	else
		tree.name = "mtlb_cov"
	end
end

endfunction