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/*
* Copyright (c) 2009 Sony Pictures Imageworks Inc
*
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the
* distribution. Neither the name of Sony Pictures Imageworks nor the
* names of its contributors may be used to endorse or promote
* products derived from this software without specific prior written
* permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
*/
//----------------------------------------------------------------------------//
/*! \file Curve.h
\brief Contains the Curve class which is used to interpolate attributes
in time.
*/
//----------------------------------------------------------------------------//
#ifndef _INCLUDED_Field3D_Curve_H_
#define _INCLUDED_Field3D_Curve_H_
//----------------------------------------------------------------------------//
#include <algorithm>
#include <utility>
#include <vector>
#include <boost/lexical_cast.hpp>
#include <OpenEXR/ImathFun.h>
#include <OpenEXR/ImathMatrix.h>
//----------------------------------------------------------------------------//
#include "ns.h"
FIELD3D_NAMESPACE_OPEN
//----------------------------------------------------------------------------//
// Curve
//----------------------------------------------------------------------------//
/*! \class Curve
\brief Implements a simple function curve where samples of type T can
be added along a 1D axis. Once samples exist they can be interpolated
using the linear() call.
*/
//----------------------------------------------------------------------------//
template <typename T>
class Curve
{
public:
// Typedefs ------------------------------------------------------------------
typedef std::pair<float, T> Sample;
typedef std::vector<Sample> SampleVec;
// Main methods --------------------------------------------------------------
//! Adds a sample point to the curve.
//! \param t Sample position
//! \param value Sample value
void addSample(const float t, const T &value);
//! Linearly interpolates a value from the curve.
//! \param t Position along curve
T linear(const float t) const;
//! Returns the number of samples in the curve
size_t numSamples() const
{ return m_samples.size(); }
//! Returns a const reference to the samples in the curve.
const SampleVec& samples() const
{ return m_samples; }
//! Clears all samples in curve
void clear()
{ SampleVec().swap(m_samples); }
private:
// Structs -------------------------------------------------------------------
//! Used when finding values in the m_samples vector.
struct CheckTGreaterThan :
public std::unary_function<std::pair<float, T>, bool>
{
CheckTGreaterThan(float match)
: m_match(match)
{ }
bool operator()(std::pair<float, T> test)
{
return test.first > m_match;
}
private:
float m_match;
};
//! Used when finding values in the m_samples vector.
struct CheckTEqual :
public std::unary_function<std::pair<float, T>, bool>
{
CheckTEqual(float match)
: m_match(match)
{ }
bool operator()(std::pair<float, T> test)
{
return test.first == m_match;
}
private:
float m_match;
};
// Utility methods -----------------------------------------------------------
//! The default return value is used when no sample points are available.
//! This defaults to zero, but for some types (for example Quaternion),
//! We need more arguments to the constructor. In these cases the method
//! is specialized for the given T type.
T defaultReturnValue() const
{ return T(0); }
//! The default implementation for linear interpolation. Works for all classes
//! for which Imath::lerp is implemented (i.e float/double, V2f, V3f).
//! For other types this method needs to be specialized.
T lerp(const Sample &lower, const Sample &upper, const float t) const
{ return Imath::lerp(lower.second, upper.second, t); }
// Private data members ------------------------------------------------------
//! Stores the samples that define the curve. Sample insertion ensures
//! that the samples are sorted according to Sample.first.
SampleVec m_samples;
};
//----------------------------------------------------------------------------//
// Template implementations
//----------------------------------------------------------------------------//
template <typename T>
void Curve<T>::addSample(const float t, const T &value)
{
using namespace std;
// Check that sample time is not already in curve
typename SampleVec::iterator i =
find_if(m_samples.begin(), m_samples.end(), CheckTEqual(t));
if (i != m_samples.end()) {
// Sample position already exists, so we replace it
i->second = value;
return;
}
// Find the first sample location that is greater than the interpolation
// position
i = find_if(m_samples.begin(), m_samples.end(), CheckTGreaterThan(t));
// If we get something other than end() back then we insert the new
// sample before that. If there wasn't a larger value we add this sample
// to the end of the vector.
if (i != m_samples.end()) {
m_samples.insert(i, make_pair(t, value));
} else {
m_samples.push_back(make_pair(t, value));
}
}
//----------------------------------------------------------------------------//
template <typename T>
T Curve<T>::linear(const float t) const
{
using namespace std;
// If there are no samples, return zero
if (m_samples.size() == 0) {
return defaultReturnValue();
}
// Find the first sample location that is greater than the interpolation
// position
typename SampleVec::const_iterator i =
find_if(m_samples.begin(), m_samples.end(), CheckTGreaterThan(t));
// If we get end() back then there was no sample larger, so we return the
// last value. If we got the first value then there is only one value and
// we return that.
if (i == m_samples.end()) {
return m_samples.back().second;
} else if (i == m_samples.begin()) {
return m_samples.front().second;
}
// Interpolate between the nearest two samples.
const Sample &upper = *i;
const Sample &lower = *(--i);
const float interpT = Imath::lerpfactor(t, lower.first, upper.first);
return lerp(lower, upper, interpT);
}
//----------------------------------------------------------------------------//
// Template specializations
//----------------------------------------------------------------------------//
template <>
inline Imath::Matrix44<float>
Curve<Imath::Matrix44<float> >::defaultReturnValue() const
{
Imath::Matrix44<float> identity;
identity.makeIdentity();
return identity;
}
//----------------------------------------------------------------------------//
template <>
inline Imath::Matrix44<double>
Curve<Imath::Matrix44<double> >::defaultReturnValue() const
{
Imath::Matrix44<double> identity;
identity.makeIdentity();
return identity;
}
//----------------------------------------------------------------------------//
FIELD3D_NAMESPACE_HEADER_CLOSE
//----------------------------------------------------------------------------//
#endif // Include guard
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