ale/d2/filter/sinc.h
2022-07-30 14:46:04 -03:00

77 lines
2.0 KiB
C++

// Copyright 2004 David Hilvert <dhilvert@auricle.dyndns.org>,
// <dhilvert@ugcs.caltech.edu>
/* This file is part of the Anti-Lamenessing Engine.
The Anti-Lamenessing Engine is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3 of the License, or
(at your option) any later version.
The Anti-Lamenessing Engine 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 General Public License for more details.
You should have received a copy of the GNU General Public License
along with the Anti-Lamenessing Engine; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#ifndef __sinc_h__
#define __sinc_h__
/*
* A filtering class for the sinc function.
*
* Notes on Lanczos and Sinc by Dave Martindale et alia are available here:
*
* http://www.binbooks.com/books/photo/i/l/57186AF8DE
* http://www.binbooks.com/books/photo/i/l/57186AE7E6&orig=1
*/
class sinc : public filter {
public:
/*
* Sinc filter.
*
* Width is infinite.
*/
static double _sinc(ale_pos p) {
if (fabs(p) < 0.001)
return 1;
return sin(M_PI * p) / (M_PI * p);
}
static double _sinc(point p) {
return _sinc(p[0]) * _sinc(p[1]);
}
virtual int equals(const filter *f) const {
if (typeid(*f) == typeid(*this))
return 1;
return 0;
}
/*
* Size of filter support, in number of half-cycles to each side of the
* filter center.
*/
virtual ale_pos support() const {
double zero = 0;
double infinity = 1 / zero;
assert (!isnan(infinity));
assert (1 < infinity);
return (ale_pos) infinity;
}
/*
* Response of filter at point p
*/
virtual ale_real response(point p) const {
return _sinc(p);
}
};
#endif