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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA
// Copyright (C) DIGITEO - 2012 - Allan CORNET
//
// 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 %r_p(h)
if exists("with_texmacs")==1 & typeof(with_texmacs)=="function" then
texout(h);
else
//used to display rational fraction with complex coefficients
//The real case is hard coded
if size(size(h),"*")>2 then
//hypermatrix case
%hmr_p(h)
return
end
[m, n]=size(h);
if (m == 0) | (n == 0) then
return
end
del="!"
blank=" "
if m*n==1 then del=" ",end
height=zeros(m,1) // to store "height" of each row do be displayed
width=zeros(1,n) // to store "width" of each column do be displayed
T=list() // to store display of each entry of the rational
for k=1:n
for l=1:m
tlk=r2str(h(l,k))
height(l)=max(size(tlk,1),height(l))
width(k)=max(max(length(tlk)),width(k))
T($+1)=tlk
end
end
ll=lines()
k0=0
//manage column display
while %t
// find how many columns can be displayed simultaneously
last=find(cumsum(width+2)<ll(1)-3);last=last($);
if last==[] then last=1,end
// form display of these columns
txt=[]
for l=1:m
txtr=emptystr(height(l),1)
for k=1:last
txtr=txtr+part(blank(ones(height(l),1)),1:2)
tlk=T(l+(k0+k-1)*m)
txtr=txtr+[part(tlk,1:width(k));emptystr(height(l)-size(tlk,1),1)]
end
txt=[txt;txtr]
end
// add matrix delimiter and columns title and display
nt=size(txt,1)
txt=part(txt,1:max(length(txt)))
if k0==0&last==n then
write(%io(2),del(ones(nt,1))+txt+blank(ones(nt,1))+del(ones(nt,1)))
else
if last==1 then
leg="column "+string(k0+1)
else
leg="column "+string(k0+1)+" to "+string(k0+last)
end
write(%io(2),[" ";
leg;
" ";
del(ones(nt,1))+txt+blank(ones(nt,1))+del(ones(nt,1))])
end
width(1:last)=[]
k0=last
if width==[] then break,end
end
end
endfunction
function txt=p2str(p)
//form display of a single polynomial with complex coefficients
lparen="("
rparen=")"
blank=" "
if type(p)==1 then p=poly(p,"s","c"),end
d=degree(p)
v=stripblanks(varn(p))
c=strsubst(string(coeff(p)),"%i","i")
// find coefficients with displays as "0" (deleted later)
kz=find(c=="0")
// find coefficients with displays as "1"
k1=find(c=="1");if k1(1)==1 then k1(1)=[],end
if k1<>[] then c(k1)=emptystr(1,size(k1,"*")),end
// find coefficients with real AND imaginary part (to be parenthezied)
kc=find(imag(coeff(p))<>0&real(coeff(p))<>0)
w=ones(1,size(kc,"*"))
if kc<>[] then c(kc)=lparen(w)+c(kc)+rparen(w),end
// add formal variable name
c=c+[emptystr(),v(ones(1:d))]
// form exponents
expo1=[" "," ",string(2:d)]
//delete coeffiecients and exponents corresponding to "0"s
c(kz)=[]
expo1(kz)=[]
if c==[] then
c="0"
expo1=emptystr()
end
// change coefficients sign display and adjust length of exponents
le=0
expo=emptystr(c)
for kc=1:size(c,"*")
if kc>1 then
if part(c(kc),1)<>"-" then
c(kc)=" + "+c(kc),
else
c(kc)=" - "+part(c(kc),2:length(c(kc)))
end
end
expo(kc)=part(blank,ones(1,length(c(kc))-le))
le=length(expo1(kc))
end
expo=expo+expo1(1:size(c,"*"))
//Handle long lines
ll=lines()
nn=size(expo,"*")
txt=[]
count=0
while %t
L=cumsum(length(expo))
last=find(L<ll(1)-3);last=last($)
txt=[txt;
part(blank,ones(1,count))+strcat(expo(1:last));
strcat(c(1:last))]
expo(1:last)=[]
c(1:last)=[]
if c==[] then break,end
count=count+1
end
endfunction
function txt=r2str(h)
//form display of a single rational with complex coefficients
dash="-"
blank=" "
t1=p2str(h("num")) //display of numerator
t2=p2str(h("den")) //display of denominator
//add fraction bar and center
l1=max(length(t1))
l2=max(length(t2))
if l1>l2 then
ll1=int((l1-l2)/2)
ll2=l1-l2-ll1
b=blank(ones(size(t2,"*"),1))
txt=[t1;
part(dash,ones(1,l1));
part(b,ones(1,ll1))+t2+part(b,ones(1,ll2))]
elseif l1<l2 then
ll1=int((l2-l1)/2)
ll2=l2-l1-ll1
b=blank(ones(size(t1,"*"),1))
txt=[part(b,ones(1,ll1))+t1+part(b,ones(1,ll2));
part(dash,ones(1,l2));
t2]
else
txt=[t1;part(dash,ones(1,l1));t2]
end
endfunction
function %hmr_p(h)
// hypermatrix display
dims=size(h)
num=h.num
den=h.den
nd=size(dims,"*")
I=(1:dims(3));
for k=4:nd
I=[ones(1,dims(k)).*.I;
(1:dims(k)).*.ones(1,size(I,2))];
end
k=1;sz=dims(1)*dims(2)
for II=I
tit="(:,:,"+strcat(string(II'),",")+")"
write(%io(2),tit)
hb=rlist(matrix(num.entries(k:k-1+sz),dims(1),dims(2)),matrix(den.entries(k:k-1+sz),dims(1),dims(2)),h.dt)
disp(hb)
k=k+sz
end
endfunction
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