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#
# I N F I X - T O - P R E F I X C O N V E R S I O N
#
# This program accepts infix expressions from standard input and
# writes the corresponding prefix expressions to standard output.
procedure main()
while write(prefix(read()))
end
procedure prefix(s)
s := strip(s)
return lassoc(s,'+-' | '*/') | rassoc(s,'^') | s
end
procedure strip(s)
while s ? (="(" & s <- tab(bal(')')) & pos(-1))
return s
end
procedure lassoc(s,c)
local j
s ? every j := bal(c)
return form(s,\j)
end
procedure rassoc(s,c)
local j
return form(s,s ? bal(c))
end
procedure form(s,k)
local a1, a2, op
s ? {
a1 := tab(k)
op := move(1)
a2 := tab(0)
}
return op || "(" || prefix(a1) || "," || prefix(a2) || ")"
end
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