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//=========================================================
// MusE
// Linux Music Editor
// $Id: dimap.cpp,v 1.1.1.1 2003/10/27 18:55:11 wschweer Exp $
// Copyright (C) 1997 Josef Wilgen
// (C) Copyright 2000 Werner Schweer (ws@seh.de)
//
// This program 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; version 2 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 General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
//
//=========================================================
#include <cmath>
#include "dimap.h"
#include "mmath.h"
namespace MusEGui {
const double DiMap::LogMin = 1.0e-150;
const double DiMap::LogMax = 1.0e150;
// DiMap - Map a double interval into an integer interval
//
// The DiMap class maps an interval of type double into an interval of
// type integer. It consists
// of two intervals D = [d1, d2] (double) and I = [i1, i2] (int), which are
// specified with the @DiMap::setDblRange@ and @DiMap::setIntRange@
// members. The point d1 is mapped to the point i1, and d2 is mapped to i2.
// Any point inside or outside D can be mapped to a point inside or outside
// I using @DiMap::transform@ or @DiMap::limTransform@ or vice versa
// using @QwtPlot::invTransform@. D can be scaled linearly or
// logarithmically, as specified with @DiMap::setDblRange@.
//------------------------------------------------------------
//.F DiMap::DiMap (1)
// Construct a DiMap instance.
//
//.u Syntax
//.f DiMap::DiMap()
//
//.u Description
// The double and integer intervals are both set to [0,1].
//------------------------------------------------------------
DiMap::DiMap()
{
d_x1 = 0.0;
d_x2 = 1.0;
d_y1 = 0;
d_y2 = 1;
d_cnv = 1.0;
}
//------------------------------------------------------------
//.F DiMap::DiMap (2)
// Construct a DiMap instance with initial integer
// and double intervals
//
//.u Syntax
//.f DiMap::DiMap(int i1, int i2, double d1, double d2, bool logarithmic)
//
//.u Parameters
//.p int i1 -- first border of integer interval
// int i2 -- second border of integer interval
// double d1 -- first border of double interval
// double d2 -- second border of double interval
// bool logarithmic -- logarithmic mapping, TRUE or FALSE. Defaults
// to FALSE.
//------------------------------------------------------------
DiMap::DiMap(int i1, int i2, double d1, double d2, bool logarithmic)
{
d_log = logarithmic;
setIntRange(i1,i2);
setDblRange(d1, d2);
}
//------------------------------------------------------------
//.F DiMap::~DiMap
// Destroy a DiMap instance.
//
//.u Syntax
//.f DiMap::~DiMap()
//------------------------------------------------------------
DiMap::~DiMap()
{
}
//------------------------------------------------------------
//.F DiMap::contains (1)
// Returns TRUE if a value x lies inside or at the border of the
// map's double range.
//
//.u Syntax
//.f bool DiMap::contains(double x)
//
//.u Parameters
//.p double x -- value
//------------------------------------------------------------
bool DiMap::contains(double x) const
{
return ( (x >= MusECore::qwtMin(d_x1, d_x1)) && (x <= MusECore::qwtMax(d_x1, d_x2)));
}
//------------------------------------------------------------
//.F DiMap::contains (2)
// Returns TRUE if a value x lies inside or at the border of the
// map's integer range
//
//.u Syntax
//.f bool DiMap::contains(int x)
//
//.u Parameters
//.p int x -- value
//------------------------------------------------------------
bool DiMap::contains(int x) const
{
return ( (x >= MusECore::qwtMin(d_y1, d_y1)) && (x <= MusECore::qwtMax(d_y1, d_y2)));
}
//------------------------------------------------------------
//.F DiMap::setDblRange
// Specify the borders of the double interval
//
//.u Syntax
//.f void DiMap::setDblRange(double d1, double d2, bool lg = FALSE)
//
//.u Parameters
//.p double d1 -- first border
// double d2 -- second border
// bool lg -- logarithmic (TRUE) or linear (FALSE)
// scaling. Defaults to FALSE.
//------------------------------------------------------------
void DiMap::setDblRange(double d1, double d2, bool lg)
{
if (lg) {
d_log = true;
if (d1 < LogMin)
d1 = LogMin;
else if (d1 > LogMax)
d1 = LogMax;
if (d2 < LogMin)
d2 = LogMin;
else if (d2 > LogMax)
d2 = LogMax;
d_x1 = log(d1);
d_x2 = log(d2);
}
else {
d_log = FALSE;
d_x1 = d1;
d_x2 = d2;
}
newFactor();
}
//------------------------------------------------------------
//.F DiMap::setIntRange
// Specify the borders of the integer interval
//
//.u Syntax
//.f void DiMap::setIntRange(int i1, int i2)
//
//.u Parameters
//.p int i1 -- first border
// int i2 -- second border
//------------------------------------------------------------
void DiMap::setIntRange(int i1, int i2)
{
d_y1 = i1;
d_y2 = i2;
newFactor();
}
//------------------------------------------------------------
//.F DiMap::transform
// Transform a point in double interval into an point in the
// integer interval
//
//.u Syntax
//.f int DiMap::transform(double x)
//
//.u Parameters
//.p double x
//
//.u Return Value
//.t
// linear mapping: -- rint(i1 + (i2 - i1) / (d2 - d1) * (x - d1))
// logarithmic mapping: -- rint(i1 + (i2 - i1) / log(d2 / d1) * log(x / d1))
//
//.u Note
// The specified point is allowed to lie outside the intervals. If you
// want to limit the returned value, use @DiMap::limTransform@.
//------------------------------------------------------------
int DiMap::transform(double x) const
{
if (d_log)
return (d_y1 + int(rint( (log(x) - d_x1) * d_cnv )));
else
return (d_y1 + int(rint( (x - d_x1) * d_cnv )));
}
//------------------------------------------------------------
//.F DiMap::invTransform
// Transform an integer value into a double value
//
//.u Syntax
//.f double DiMap::invTransform(int y)
//
//.u Parameters
//.p int y -- integer value to be transformed
//
//.u Return Value
//.t
// linear mapping: -- d1 + (d2 - d1) / (i2 - i1) * (y - i1)
// logarithmic mapping: -- d1 + (d2 - d1) / log(i2 / i1) * log(y / i1)
//------------------------------------------------------------
double DiMap::invTransform(int y) const
{
if (d_cnv == 0.0)
return 0.0;
else {
if (d_log)
return exp(d_x1 + double(y - d_y1) / d_cnv );
else
return ( d_x1 + double(y - d_y1) / d_cnv );
}
}
//------------------------------------------------------------
//.F DiMap::limTransform
// Transform and limit
//
//.u Syntax
//.f int DiMap::limTransform(double x)
//
//.u Parameters
//.p double x
//
//.u Return Value
// transformed value
//
//.u Description
// The function is similar to @DiMap::transform@, but limits the input value
// to the nearest border of the map's double interval if it lies outside
// that interval.
//------------------------------------------------------------
int DiMap::limTransform(double x) const
{
if ( x > MusECore::qwtMax(d_x1, d_x2) )
x = MusECore::qwtMax(d_x1, d_x2);
else if ( x < MusECore::qwtMin(d_x1, d_x2))
x = MusECore::qwtMin(d_x1, d_x2);
return transform(x);
}
//------------------------------------------------------------
//.F DiMap::xTransform
// Exact transformation
//
//.u Syntax
//.f double DiMap::dTransform(double x)
//
//.u Parameters
//.p double x -- value to be transformed
//
//.u Return Value
//.t
// linear mapping: -- i1 + (i2 - i1) / (d2 - d1) * (x - d1)
// logarithmic mapping: -- i1 + (i2 - i1) / log(d2 / d1) * log(x / d1)
//
//.u Description
// This function is similar to @DiMap::transform@, but
// makes the integer interval appear to be double.
//------------------------------------------------------------
double DiMap::xTransform(double x) const
{
double rv;
if (d_log)
rv = double(d_y1) + (log(x) - d_x1) * d_cnv;
else
rv = double(d_y1) + (x - d_x1) * d_cnv;
return rv;
}
//------------------------------------------------------------
//.F DiMap::newFactor
// Re-calculate the conversion factor.
//------------------------------------------------------------
void DiMap::newFactor()
{
if (d_x2 != d_x1)
d_cnv = double(d_y2 - d_y1) / (d_x2 - d_x1);
else
d_cnv = 0.0;
}
} // namespace MusEGui
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