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#ifndef TICKSET_H
#define TICKSET_H
#include <string>
#include <vector>
#include <cmath>
#include <sstream>
#include "../structures/date.h"
#ifndef HAVE_EXP10
#define exp10(x) exp( (2.3025850929940456840179914546844) * (x) )
#endif
typedef std::pair<double, std::string> Tick;
class TickSet
{
public:
TickSet()
{ }
virtual ~TickSet()
{ }
virtual unsigned Size() const = 0;
virtual Tick GetTick(unsigned i) const = 0;
virtual void DecreaseTicks()
{
if(Size() > 1)
{
Set(Size() - 1);
}
}
virtual void Set(unsigned maxSize) = 0;
virtual void Reset() = 0;
/**
* Returns a value scaled according to the axis.
* Values that are within the min and max will have an axis value of
* 0 to 1.
*/
virtual double UnitToAxis(double unitValue) const = 0;
virtual double AxisToUnit(double axisValue) const = 0;
protected:
private:
};
class NumericTickSet : public TickSet
{
public:
NumericTickSet(double min, double max, unsigned sizeRequest) :
_min(min), _max(max), _sizeRequest(sizeRequest)
{
set(sizeRequest);
}
unsigned Size() const final override
{
return _ticks.size();
}
Tick GetTick(unsigned i) const final override
{
std::stringstream tickStr;
tickStr << _ticks[i];
return Tick((_ticks[i] - _min) / (_max - _min), tickStr.str());
}
void Reset() final override
{
_ticks.clear();
set(_sizeRequest);
}
void Set(unsigned maxSize) final override
{
_ticks.clear();
set(maxSize);
}
double UnitToAxis(double unitValue) const final override
{
return (unitValue - _min) / (_max - _min);
}
double AxisToUnit(double axisValue) const final override
{
return axisValue * (_max - _min) + _min;
}
private:
void set(unsigned sizeRequest)
{
if(std::isfinite(_min) && std::isfinite(_max))
{
if(_max == _min)
_ticks.push_back(_min);
else
{
if(sizeRequest == 0)
return;
double tickWidth = roundUpToNiceNumber(fabs(_max - _min) / (double) sizeRequest);
if(tickWidth == 0.0)
tickWidth = 1.0;
if(_min < _max)
{
double pos = roundUpToNiceNumber(_min, tickWidth);
while(pos <= _max)
{
if(fabs(pos) < tickWidth/100.0)
_ticks.push_back(0.0);
else
_ticks.push_back(pos);
pos += tickWidth;
}
} else {
double pos = -roundUpToNiceNumber(-_min, tickWidth);
while(pos >= _max)
{
if(fabs(pos) < tickWidth/100.0)
_ticks.push_back(0.0);
else
_ticks.push_back(pos);
pos -= tickWidth;
}
}
while(_ticks.size() > sizeRequest)
_ticks.pop_back();
}
}
}
double roundUpToNiceNumber(double number)
{
if(!std::isfinite(number))
return number;
double roundedNumber = 1.0;
if(number <= 0.0)
{
if(number == 0.0)
return 0.0;
else
{
roundedNumber = -1.0;
number *= -1.0;
}
}
while(number > 10)
{
number /= 10;
roundedNumber *= 10;
}
while(number <= 1)
{
number *= 10;
roundedNumber /= 10;
}
if(number <= 2) return roundedNumber * 2;
else if(number <= 5) return roundedNumber * 5;
else return roundedNumber * 10;
}
double roundUpToNiceNumber(double number, double roundUnit)
{
return roundUnit * ceil(number / roundUnit);
}
double _min, _max;
unsigned _sizeRequest;
std::vector<double> _ticks;
};
class LogarithmicTickSet : public TickSet
{
public:
LogarithmicTickSet(double min, double max, unsigned sizeRequest) :
_min(min), _minLog10(log10(min)),
_max(max), _maxLog10(log10(max)),
_sizeRequest(sizeRequest)
{
if(!std::isfinite(min) || !std::isfinite(max))
throw std::runtime_error("Invalid (non-finite) range in LogarithmicTickSet");
set(sizeRequest);
}
unsigned Size() const final override
{
return _ticks.size();
}
Tick GetTick(unsigned i) const final override
{
return _ticks[i];
}
void Reset() final override
{
_ticks.clear();
set(_sizeRequest);
}
void Set(unsigned maxSize) final override
{
_ticks.clear();
set(maxSize);
}
/**
* Returns a value scaled according to a given axis.
* Values that are within the min and max will have an axis value of
* 0 to 1.
*/
static double UnitToAxis(double unitValue, double unitMin, double unitMax)
{
return log(unitValue / unitMin) / log(unitMax / unitMin);
}
static double AxisToUnit(double axisValue, double unitMin, double unitMax)
{
return exp(axisValue * log(unitMax / unitMin)) * unitMin;
}
double UnitToAxis(double unitValue) const final override
{
return UnitToAxis(unitValue, _min, _max);
}
double AxisToUnit(double axisValue) const final override
{
return AxisToUnit(axisValue, _min, _max);
}
private:
void set(unsigned sizeRequest)
{
std::vector<double> vals;
bool hasTensOnly = true;
if(_max == _min)
{
vals.emplace_back(_min);
hasTensOnly = false;
}
else {
if(sizeRequest == 0)
sizeRequest = 1;
const double
tickStart = roundUpToBase10Number(_min*0.999),
tickEnd = roundDownToBase10Number(_max*1.001);
vals.emplace_back(tickStart);
if(sizeRequest == 1)
return;
// Add all steps with factor of ten
if(tickEnd > tickStart)
{
const unsigned distance = (unsigned) round(log10(tickEnd / tickStart));
const unsigned step = (distance + sizeRequest - 1) / sizeRequest;
const double factor = exp10((double) step);
double pos = tickStart * factor;
while(pos <= _max && vals.size() < sizeRequest)
{
vals.emplace_back(pos);
pos *= factor;
}
}
// can we add two to nine?
// If there are already 3 steps of 10, skip this so the format can be like "10^3" etc
bool isFull = vals.size() >= sizeRequest || vals.size() >= 3;
if(!isFull)
{
std::vector<double> tryTickset(vals);
double base = tickStart / 10.0;
do {
for(double i=2.0;i<9.5;++i)
{
double val = base * i;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
}
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
{
vals = tryTickset;
hasTensOnly = false;
isFull = true;
// can we add 1.5 ?
base = tickStart / 10.0;
do {
double val = base * 1.5;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
vals = std::move(tryTickset);
}
}
// can we add two, four, ... eight?
if(!isFull)
{
std::vector<double> tryTickset(vals);
double base = tickStart / 10.0;
do {
for(double i=2.0;i<9.0;i+=2.0)
{
double val = base * i;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
}
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
{
vals = tryTickset;
hasTensOnly = false;
isFull = true;
// can we add 1.5 ?
base = tickStart / 10.0;
do {
double val = base * 1.5;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
vals = std::move(tryTickset);
}
}
// can we add two and five?
if(!isFull)
{
std::vector<double> tryTickset(vals);
double base = tickStart / 10.0;
do {
for(double i=2.0;i<6.0;i+=3.0)
{
double val = base * i;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
}
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
{
vals = std::move(tryTickset);
hasTensOnly = false;
isFull = true;
}
}
// can we add fives?
if(!isFull)
{
std::vector<double> tryTickset(vals);
double base = tickStart / 10.0;
do {
double val = base * 5.0;
if(val >= _min && val <= _max)
tryTickset.push_back(val);
base *= 10.0;
} while(base < _max);
if(tryTickset.size() <= sizeRequest)
{
vals = std::move(tryTickset);
hasTensOnly = false;
isFull = true;
}
}
std::sort(vals.begin(), vals.end());
}
// Should we use "3e-3" syntax?
bool preferExp = (_max / _min > 100 || _max >= 1000.0 || _min < 0.01);
// Can we instead use "10^-5" syntax?
bool preferTens = preferExp && hasTensOnly;
for(double v : vals)
{
if(preferTens)
{
int eVal = int(round(log10(v)));
_ticks.emplace_back((log10(v) - _minLog10) / (_maxLog10 - _minLog10), "10^" + std::to_string(eVal));
}
else if(preferExp)
{
int eVal = int(floor(log10(v)));
std::ostringstream str;
str << (v / exp10(eVal)) << "⋅10^" << eVal;
_ticks.emplace_back((log10(v) - _minLog10) / (_maxLog10 - _minLog10), str.str());
}
else {
std::ostringstream str;
str << v;
_ticks.emplace_back((log10(v) - _minLog10) / (_maxLog10 - _minLog10), str.str());
}
}
}
double roundUpToBase10Number(double number) const
{
if(!std::isfinite(number))
return number;
const double l = log10(number);
return exp10(ceil(l));
}
double roundDownToBase10Number(double number) const
{
if(!std::isfinite(number))
return number;
const double l = log10(number);
return exp10(floor(l));
}
double _min, _minLog10, _max, _maxLog10;
unsigned _sizeRequest;
std::vector<Tick> _ticks;
};
class TimeTickSet : public TickSet
{
public:
TimeTickSet(double minTime, double maxTime, unsigned sizeRequest) : _min(minTime), _max(maxTime), _sizeRequest(sizeRequest)
{
if(!std::isfinite(minTime) || !std::isfinite(maxTime))
throw std::runtime_error("Invalid (non-finite) range in TimeTickSet");
set(sizeRequest);
}
unsigned Size() const final override
{
return _ticks.size();
}
Tick GetTick(unsigned i) const final override
{
double val = _ticks[i];
return Tick((val - _min) / (_max - _min), Date::AipsMJDToTimeString(val));
}
void Reset() final override
{
_ticks.clear();
set(_sizeRequest);
}
void Set(unsigned maxSize) final override
{
_ticks.clear();
set(maxSize);
}
double UnitToAxis(double) const final override { return 0.0; }
double AxisToUnit(double) const final override { return 0.0; }
private:
void set(unsigned sizeRequest)
{
if(_max == _min)
_ticks.push_back(_min);
else
{
if(sizeRequest == 0)
return;
double tickWidth = calculateTickWidth((_max - _min) / (double) sizeRequest);
if(tickWidth == 0.0 || !std::isfinite(tickWidth))
tickWidth = 1.0;
double
pos = roundUpToNiceNumber(_min, tickWidth);
while(pos < _max)
{
_ticks.push_back(pos);
pos += tickWidth;
}
while(_ticks.size() > sizeRequest)
_ticks.pop_back();
}
}
double calculateTickWidth(double lowerLimit) const
{
if(!std::isfinite(lowerLimit))
return lowerLimit;
// number is in units of seconds
// In days?
if(lowerLimit >= 60.0*60.0*24.0)
{
double width = 60.0*60.0*24.0;
while(width < lowerLimit)
width *= 2.0;
return width;
}
// in hours?
else if(lowerLimit > 60.0*30.0)
{
if(lowerLimit <= 60.0*60.0)
return 60.0*60.0; // hours
else if(lowerLimit <= 60.0*60.0*2.0)
return 60.0*60.0*2.0; // two hours
else if(lowerLimit <= 60.0*60.0*3.0)
return 60.0*60.0*3.0; // three hours
else if(lowerLimit <= 60.0*60.0*4.0)
return 60.0*60.0*4.0; // four hours
else if(lowerLimit <= 60.0*60.0*6.0)
return 60.0*60.0*6.0; // six hours
else
return 60.0*60.0*12.0; // twelve hours
}
// in minutes?
else if(lowerLimit > 30.0)
{
if(lowerLimit <= 60.0)
return 60.0; // in minutes
else if(lowerLimit <= 60.0*2.0)
return 60.0*2.0; // two minutes
else if(lowerLimit <= 60.0*5.0)
return 60.0*5.0; // five minutes
else if(lowerLimit <= 60.0*10.0)
return 60.0*10.0; // ten minutes
else if(lowerLimit <= 60.0*15.0)
return 60.0*15.0; // quarter hours
else
return 60.0*30.0; // half hours
}
// in seconds?
else if(lowerLimit > 0.5)
{
if(lowerLimit <= 1.0)
return 1.0; // in seconds
else if(lowerLimit <= 2.0)
return 2.0; // two seconds
else if(lowerLimit <= 5.0)
return 5.0; // five seconds
else if(lowerLimit <= 10.0)
return 10.0; // ten seconds
else if(lowerLimit <= 15.0)
return 15.0; // quarter minute
else
return 30.0; // half a minute
}
else if(lowerLimit == 0.0)
return 0.0;
// in 10th of seconds or lower?
else
{
double factor = 1.0;
while(lowerLimit <= 0.1 && std::isfinite(lowerLimit))
{
factor *= 0.1;
lowerLimit *= 10.0;
}
if(lowerLimit <= 0.2)
return 0.2 * factor;
else if(lowerLimit <= 0.5)
return 0.5 * factor;
else
return factor;
}
}
double roundUpToNiceNumber(double number, double roundUnit)
{
return roundUnit * ceil(number / roundUnit);
}
double _min, _max;
unsigned _sizeRequest;
std::vector<double> _ticks;
};
class TextTickSet : public TickSet
{
public:
TextTickSet(const std::vector<std::string> &labels, unsigned sizeRequest) : _sizeRequest(sizeRequest), _labels(labels)
{
set(sizeRequest);
}
unsigned Size() const final override
{
return _ticks.size();
}
Tick GetTick(unsigned i) const final override
{
const size_t labelIndex = _ticks[i];
const double val = (_labels.size() == 1) ? 0.5 : (double) labelIndex / (double) (_labels.size() - 1);
return Tick(val, _labels[labelIndex]);
}
void Reset() final override
{
_ticks.clear();
set(_sizeRequest);
}
void Set(unsigned maxSize) final override
{
_ticks.clear();
set(maxSize);
}
double UnitToAxis(double) const final override { return 0.0; }
double AxisToUnit(double) const final override { return 0.0; }
private:
void set(unsigned sizeRequest)
{
if(sizeRequest > _labels.size())
sizeRequest = _labels.size();
const unsigned stepSize =
(unsigned) ceil((double) _labels.size() / (double) sizeRequest);
for(size_t tick=0;tick<_labels.size();tick += stepSize)
_ticks.push_back(tick);
}
unsigned _sizeRequest;
std::vector<std::string> _labels;
std::vector<size_t> _ticks;
};
#endif
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