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authorShashank2017-05-29 12:40:26 +0530
committerShashank2017-05-29 12:40:26 +0530
commit0345245e860375a32c9a437c4a9d9cae807134e9 (patch)
treead51ecbfa7bcd3cc5f09834f1bb8c08feaa526a4 /modules/cacsd/macros/trisolve.sci
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+// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+// Copyright (C) INRIA - F. Delebecque , Serge STEER
+//
+// 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_V2.1-en.txt
+
+function [b,sexp]=trisolve(a,b,sexp)
+ //[x [,sexp]] = trisolve(A,b [,sexp]) symbolically solves A*x =b
+ // when A and b are matrices of character strings, A being assumed to be
+ // upper triangular.
+ //sexp : vector of common subexpressions in A, b and x.
+ //!
+
+ [lhs,rhs]=argn(0)
+ [n0,m]=size(b)
+ if rhs==2 then
+ for n=n0:-1:1
+ pivot=a(n,n)
+ for k=1:m,b(n,k)=ldivf(pivot,"("+b(n,k)+")"),end
+ if n==1 then return,end
+ for l=1:n-1
+ for k=1:m,
+ b(l,k)=addf(b(l,k),mulf(mulf("-1",a(l,n)),b(n,k)))
+ end
+ end
+ end
+ else
+ ns=prod(size(sexp))
+ for n=n0:-1:1
+ pivot=a(n,n)
+ for k=1:m,
+ ns=ns+1
+ sexp(ns)=ldivf(pivot,"("+b(n,k)+")")
+ b(n,k)="%("+string(ns)+")";
+ end
+ if n==1 then return,end
+ for l=1:n-1
+ for k=1:m,
+ b(l,k)=addf(b(l,k),mulf(mulf("-1",a(l,n)),b(n,k)))
+ end
+ end
+ end
+ end
+endfunction