📄 average.hpp
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//===========================================================================//
// File: average.hpp //
//---------------------------------------------------------------------------//
// Copyright (C) Microsoft Corporation. All rights reserved. //
//===========================================================================//
#pragma once
#include "Stuff.hpp"
namespace Stuff {
//##########################################################################
//########################### AverageOf ##############################
//##########################################################################
template <class T> class AverageOf
#if defined(_ARMOR)
: public Stuff::Signature
#endif
{
public:
//
//-----------------------------------------------------------------------
// Constructor, Destructor, Testing
//-----------------------------------------------------------------------
//
AverageOf();
AverageOf(
size_t size,
T initial=(T)0
);
~AverageOf();
void
TestInstance() const
{Check_Pointer(array); Verify(next < size);}
//
//-----------------------------------------------------------------------
// SetSize
//-----------------------------------------------------------------------
//
void
SetSize(
size_t size,
T initial=(T)0
);
//
//-----------------------------------------------------------------------
// Add
//-----------------------------------------------------------------------
//
void
Add(T value);
//
//-----------------------------------------------------------------------
// CalculateAverage
//-----------------------------------------------------------------------
//
T
CalculateAverage();
//
//-----------------------------------------------------------------------
// CalculateOlympicAverage
//-----------------------------------------------------------------------
//
T
CalculateOlympicAverage();
//
//-----------------------------------------------------------------------
// Calculate Trend of Average
//-----------------------------------------------------------------------
//
Scalar
CalculateTrend();
//
//-----------------------------------------------------------------------
// Return the lowest value in the array, or,
// Return the highest value in the array
//-----------------------------------------------------------------------
//
T
CalculateLowerBound();
T
CalculateUpperBound();
private:
//
//-----------------------------------------------------------------------
// Private data
//-----------------------------------------------------------------------
//
size_t size;
size_t next;
T *array;
};
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~ AverageOf templates ~~~~~~~~~~~~~~~~~~~~~~~~~
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T>
AverageOf<T>::AverageOf()
{
array = NULL;
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T>
AverageOf<T>::AverageOf(
size_t the_size,
T initial
)
{
array = NULL;
SetSize(the_size, initial);
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> void
AverageOf<T>::SetSize(
size_t the_size,
T initial
)
{
if (array != NULL)
{
Unregister_Pointer(array);
delete[] array;
}
size = the_size;
array = new T[size];
Register_Pointer(array);
next = 0;
for (size_t i = 0; i < size; i++)
{
Check_Pointer(array);
Verify(i < size);
array[i] = initial;
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T>
AverageOf<T>::~AverageOf()
{
Unregister_Pointer(array);
delete[] array;
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> void
AverageOf<T>::Add(T value)
{
Check_Object(this);
Check_Pointer(array);
Verify(next < size);
array[next] = value;
++next;
if (next >= size)
{
Verify(next == size);
next = 0;
}
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> T
AverageOf<T>::CalculateAverage()
{
Check_Object(this);
size_t i;
T accumulate;
for (i = 0, accumulate = (T)0; i < size; i++)
{
Check_Pointer(array);
Verify(i < size);
accumulate += array[i];
}
Verify(!Small_Enough(static_cast<Scalar>(size)));
return (accumulate / static_cast<T>(size));
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> T
AverageOf<T>::CalculateOlympicAverage()
{
Check_Object(this);
size_t i;
T accumulate, min_value, max_value;
Verify(0 < size);
min_value = array[0];
max_value = array[0];
for (i = 0, accumulate = (T)0; i < size; i++)
{
Check_Pointer(array);
Verify(i < size);
accumulate += array[i];
min_value = Min(array[i], min_value);
max_value = Max(array[i], max_value);
}
accumulate -= min_value;
accumulate -= max_value;
Verify(!Small_Enough(static_cast<Scalar>(size - 2)));
return (accumulate / static_cast<T>(size - 2));
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> Scalar
AverageOf<T>::CalculateTrend()
{
Check_Object(this);
size_t i;
Scalar f = 0.0f;
Scalar fx = 0.0f;
Scalar x1 = static_cast<Scalar>(size);
Scalar x2 = x1*x1/2.0f;
Scalar x3 = x2 + x1*x1*x1/3.0f + x1/6.0f;
x2 += x1/2.0f;
i = next;
Scalar t = 1.0f;
do
{
f += array[i];
fx += t*array[i];
t += 1.0f;
if (++i == size)
{
i = 0;
}
} while (i != next);
return (x1*fx - x2*f) / (x1*x3 - x2*x2);
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> T
AverageOf<T>::CalculateLowerBound()
{
Check_Object(this);
size_t i;
T min_value;
Verify(0 < size);
min_value = array[0];
for (i = 0; i < size; i++)
{
Check_Pointer(array);
Verify(i < size);
min_value = Min(array[i], min_value);
}
return min_value;
}
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
template <class T> T
AverageOf<T>::CalculateUpperBound()
{
Check_Object(this);
size_t i;
T max_value;
Verify(0 < size);
max_value = array[0];
for (i = 0; i < size; i++)
{
Check_Pointer(array);
Verify(i < size);
max_value = Max(array[i], max_value);
}
return max_value;
}
//##########################################################################
//######################## StaticAverageOf ###########################
//##########################################################################
template <class T> class StaticAverageOf
#if defined(_ARMOR)
: public Stuff::Signature
#endif
{
public:
//
//-----------------------------------------------------------------------
// Constructor, Destructor, Testing
//-----------------------------------------------------------------------
//
StaticAverageOf()
{size = (size_t)(T)0; total = (T)0;}
~StaticAverageOf()
{}
void
TestInstance() const
{}
//
//-----------------------------------------------------------------------
// Add
//-----------------------------------------------------------------------
//
void
Add(T value)
{Check_Object(this); size++; total += value;}
//
//-----------------------------------------------------------------------
// CalculateAverage
//-----------------------------------------------------------------------
//
T
CalculateAverage()
{Check_Object(this); return (size == 0) ? ((T)0) : (total / (T)size);}
//
//-----------------------------------------------------------------------
// GetSize
//-----------------------------------------------------------------------
//
size_t
GetSize()
{Check_Object(this); return size;}
private:
//
//-----------------------------------------------------------------------
// Private data
//-----------------------------------------------------------------------
//
size_t size;
T total;
};
}
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