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/************************************************************************
************************************************************************
FAUST compiler
Copyright (C) 2003-2018 GRAME, Centre National de Creation Musicale
---------------------------------------------------------------------
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
************************************************************************
************************************************************************/
#include <stdio.h>
#include <list>
#include <map>
#include "aterm.hh"
#include "exception.hh"
#include "mterm.hh"
#include "normalize.hh"
#include "ppsig.hh"
#include "signals.hh"
#include "sigorderrules.hh"
#include "sigprint.hh"
#include "simplify.hh"
#include "tlib.hh"
using namespace std;
#undef TRACE
/**
* Compute the Add-Normal form of a term t.
* \param t the term to be normalized
* \return the normalized term
*/
Tree normalizeAddTerm(Tree t)
{
#ifdef TRACE
cerr << "START normalizeAddTerm : " << ppsig(t) << endl;
#endif
aterm A(t);
#ifdef TRACE
cerr << "ATERM of " << A << endl;
#endif
mterm D = A.greatestDivisor();
while (D.isNotZero() && D.complexity() > 0) {
#ifdef TRACE
cerr << "*** GREAT DIV : " << D << endl;
#endif
A = A.factorize(D);
D = A.greatestDivisor();
}
Tree r = A.normalizedTree();
#ifdef TRACE
cerr << "ATERM of " << A << " --> " << ppsig(r) << endl;
#endif
return r;
}
/**
* Compute the normal form of a 1-sample delay term s'.
* The normalisation rules are :
* 0' -> 0 /// INACTIVATE dec07 bug recursion
* (k*s)' -> k*s'
* (s/k)' -> s'/k
* \param s the term to be delayed by 1 sample
* \return the normalized term
*/
Tree normalizeDelay1Term(Tree s)
{
return normalizeDelayTerm(s, tree(1));
}
/**
* Compute the normal form of a delay term (s@d).
* The normalisation rules are :
* s@0 -> s
* 0@d -> 0
* (k*s)@d -> k*(s@d)
* (s/k)@d -> (s@d)/k
* (s@n)@m -> s@(n+m) and n is constant
* Note that the same rules can't be applied to
* + and - because the value of the first d samples
* would be wrong.
* \param s the term to be delayed
* \param d the value of the delay
* \return the normalized term
*/
Tree normalizeDelayTerm(Tree s, Tree d)
{
Tree x, y, r;
int i;
if (isZero(d)) {
if (isProj(s, &i, r)) {
return sigDelay(s, d);
} else {
return s;
}
} else if (isZero(s)) {
return s;
} else if (isSigMul(s, x, y)) {
if (getSigOrder(x) < 2) {
return /*simplify*/ (sigMul(x, normalizeDelayTerm(y, d)));
} else if (getSigOrder(y) < 2) {
return /*simplify*/ (sigMul(y, normalizeDelayTerm(x, d)));
} else {
return sigDelay(s, d);
}
} else if (isSigDiv(s, x, y)) {
if (getSigOrder(y) < 2) {
return /*simplify*/ (sigDiv(normalizeDelayTerm(x, d), y));
} else {
return sigDelay(s, d);
}
} else if (isSigDelay(s, x, y)) {
if (getSigOrder(y) < 2) {
// (x@n)@m = x@(n+m) when n is constant
return normalizeDelayTerm(x, simplify(sigAdd(d, y)));
} else {
return sigDelay(s, d);
}
} else {
return sigDelay(s, d);
}
}
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