public bool IntersectsWith(FltDomain domain)
{
if (ReferenceEquals(domain, this))
{
return(true);
}
if (domain.IsEmpty())
{
return(false);
}
// 1, 6
if (!m_Interval.IntersectsWith(domain.m_Interval))
{
return(false);
}
if (domain.IsSimple())
{
return(IntersectsWith(domain.m_Interval));
}
if (IsSimple())
{
return(domain.IntersectsWith(m_Interval));
}
int index0 = 0;
int index1 = 0;
bool intersect = false;
while (index0 < m_IntervalList.Count &&
index1 < domain.m_IntervalList.Count &&
!intersect)
{
FltInterval ival0 = m_IntervalList[index0];
FltInterval ival1 = domain.m_IntervalList[index1];
if (ival0.Max < ival1.Min)
{
++index0;
}
else if (ival1.Max < ival0.Min)
{
++index1;
}
else
{
intersect = true;
}
}
return(intersect);
}
public FltDomain Subtract(FltDomain domain)
{
FltInterval interval = domain.Interval;
if (interval.IsZero())
{
return(this);
}
return(new FltDomain((m_Interval - interval).Inflate()));
}
public override bool Equals(object obj)
{
if (ReferenceEquals(this, obj))
{
return(true);
}
FltDomain domain = obj as FltDomain;
if (!ReferenceEquals(domain, null))
{
return(Equals(domain));
}
return(false);
}
public FltDomain Multiply(FltDomain domain)
{
FltInterval interval = domain.Interval;
if (interval.IsOne())
{
return(this);
}
FltInterval result = m_Interval * interval;
if (result.IsEmpty())
{
return(m_Empty);
}
return(new FltDomain(result.Inflate()));
}
public FltDomain Abs()
{
if (IsEmpty())
{
return(m_Empty);
}
if (m_Interval.Min >= 0)
{
return(this);
}
if (m_Interval.Max <= 0)
{
return(Negate());
}
FltDomain lower = -Intersect(double.MinValue, 0);
FltDomain upper = Intersect(0, double.MaxValue);
return(lower.Union(upper));
}
public FltDomain Sqrt()
{
if (IsEmpty())
{
return(m_Empty);
}
if (m_Interval.Max < 0)
{
return(m_Empty);
}
if (m_Interval.IsZero() || m_Interval.IsOne())
{
return(this);
}
FltDomain result = new FltDomain();
result.m_Interval = m_Interval.Sqrt();
if (IsSimple())
{
return(result);
}
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count);
foreach (FltInterval interval in m_IntervalList)
{
if (interval.Max >= 0)
{
result.m_IntervalList.Add(interval.Sqrt());
}
}
result.CheckSimple();
return(result);
}
public FltDomain Inflate()
{
if (IsEmpty())
{
return(m_Empty);
}
FltDomain result = new FltDomain();
result.m_Interval = m_Interval.Inflate();
if (IsSimple())
{
return(result);
}
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count);
foreach (FltInterval interval in m_IntervalList)
{
result.m_IntervalList.Add(interval.Inflate());
}
return(result);
}
public FltDomain Negate()
{
if (m_Interval.IsBound() && m_Interval.Min == 0)
{
return(this);
}
FltDomain result = new FltDomain();
result.m_Interval = -m_Interval;
if (IsSimple())
{
return(result);
}
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count);
foreach (FltInterval interval in m_IntervalList)
{
result.m_IntervalList.Add(-interval);
}
return(result);
}
public FltDomain Divide(double value)
{
if (value == 1)
{
return(this);
}
FltDomain result = new FltDomain();
result.m_Interval = m_Interval / value;
if (IsSimple())
{
return(result);
}
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count);
foreach (FltInterval interval in m_IntervalList)
{
result.m_IntervalList.Add(interval / value);
}
return(result);
}
public FltDomain Divide(FltDomain domain)
{
FltInterval interval = domain.Interval;
if (interval.IsOne())
{
return(this);
}
bool div2 = false;
FltInterval intv1 = FltInterval.Divide1(m_Interval, interval, ref div2);
if (div2)
{
FltInterval intv2 = FltInterval.Divide2(m_Interval, interval, div2);
return(new FltDomain(new FltInterval[] { intv1.Inflate(), intv2.Inflate() }));
}
else
{
return(new FltDomain(intv1.Inflate()));
}
}
public FltDomain Intersect(FltInterval interval)
{
if (interval.IsEmpty())
{
return(m_Empty);
}
// 1, 6
if (!IntersectsWith(interval))
{
return(m_Empty);
}
// 3
if (interval.Min <= m_Interval.Min && interval.Max >= m_Interval.Max)
{
//if( interval.Contains( m_Interval ) )
return(this);
}
FltInterval intv = m_Interval.Intersect(interval);
FltDomain result = new FltDomain();
result.m_Interval = intv;
if (!IsSimple())
{
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count);
int idx = 0;
// 6 : completely before
for ( ; idx < m_IntervalList.Count && (m_IntervalList[idx].Max < interval.Min); ++idx)
{
}
;
// 2
if (idx < m_IntervalList.Count &&
I2_IntersectMin(m_IntervalList[idx], interval))
{
result.m_IntervalList.Add(m_IntervalList[idx].Intersect(interval));
++idx;
}
// 4
if (idx < m_IntervalList.Count &&
I4_Divide(m_IntervalList[idx], interval))
{
result.m_IntervalList.Add(m_IntervalList[idx].Intersect(interval));
}
// 3
else
{
for ( ; idx < m_IntervalList.Count && interval.Contains(m_IntervalList[idx]); ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
}
// 5
if (idx < m_IntervalList.Count &&
I5_IntersectMax(m_IntervalList[idx], interval))
{
result.m_IntervalList.Add(m_IntervalList[idx].Intersect(interval));
++idx;
}
// 1 : complete after can be skipped
result.UpdateInterval();
}
return(result);
}
public FltDomain Difference(FltDomain domain)
{
if (ReferenceEquals(domain, this))
{
return(m_Empty);
}
if (domain.IsEmpty())
{
return(this);
}
if (domain.IsSimple())
{
return(Difference(domain.m_Interval));
}
//1, 6
if (!IntersectsWith(domain.m_Interval))
{
return(this);
}
// Need to be a bit smart, put our interval in a list, in case it gets chopped up.
List <FltInterval> intervalList;
if (IsSimple())
{
intervalList = new List <FltInterval>(1);
intervalList.Add(m_Interval);
}
else
{
intervalList = m_IntervalList;
}
FltDomain result = new FltDomain();
result.m_IntervalList = new List <FltInterval>(intervalList.Count + domain.m_IntervalList.Count);
int idx = 0;
int domIdx = 0;
while (idx < intervalList.Count ||
domIdx < domain.m_IntervalList.Count)
{
// 6
if (idx == intervalList.Count)
{
domIdx = domain.m_IntervalList.Count;
}
// 1
else if (domIdx == domain.m_IntervalList.Count)
{
idx = intervalList.Count;
}
else
{
FltInterval intv = intervalList[idx];
FltInterval domIntv = domain.m_IntervalList[domIdx];
// 1 : completely before
if (domIntv.Max < intv.Min)
{
++domIdx;
}
// 6 : completely after
else if (domIntv.Min > intv.Max)
{
result.m_IntervalList.Add(intv);
++idx;
}
// 3
else if (domIntv.Contains(intv))
{
++idx;
}
// 4 : divide into two intervals...
else if (I4_Divide(intv, domIntv))
{
while (domIdx < domain.m_IntervalList.Count &&
I4_Divide(intv, domIntv))
{
result.m_IntervalList.Add(new FltInterval(intv.Min, Epsilon.Prev(domIntv.Min)));
intv = new FltInterval(Epsilon.Next(domIntv.Max), intv.Max);
++domIdx;
if (domIdx < domain.m_IntervalList.Count)
{
domIntv = domain.m_IntervalList[domIdx];
}
}
result.m_IntervalList.Add(intv);
}
// 2
else if (I2_IntersectMin(intv, domIntv))
{
result.m_IntervalList.Add(intv.Difference(domIntv));
++domIdx;
}
// 5
else if (I5_IntersectMax(intv, domIntv))
{
result.m_IntervalList.Add(intv.Difference(domIntv));
++idx;
}
}
}
result.UpdateInterval();
return(result);
}
public FltDomain Difference(FltInterval interval)
{
if (interval.IsEmpty())
{
return(this);
}
// 1, 6
if (!IntersectsWith(interval))
{
return(this);
}
// 3 : completely remove interval => empty
if (interval.Contains(m_Interval))
{
return(m_Empty);
}
// Result domain
FltDomain result = new FltDomain();
result.m_Interval = m_Interval.Difference(interval);
if (IsSimple())
{
// 4 : divide into two intervals...
if (I4_Divide(interval, m_Interval))
{
result.m_IntervalList = new List <FltInterval>(2);
result.m_IntervalList.Add(new FltInterval(m_Interval.Min, Epsilon.Prev(interval.Min)));
result.m_IntervalList.Add(new FltInterval(Epsilon.Next(interval.Max), m_Interval.Max));
}
}
else
{
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count + 1);
int idx = 0;
// 6
for ( ; idx < m_IntervalList.Count && m_IntervalList[idx].Max < interval.Min; ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
// 2
if (idx < m_IntervalList.Count &&
I2_IntersectMin(interval, m_IntervalList[idx]))
{
result.m_IntervalList.Add(m_IntervalList[idx].Difference(interval));
++idx;
}
// 4 : divide into two intervals...
if (idx < m_IntervalList.Count &&
I4_Divide(interval, m_IntervalList[idx]))
{
result.m_IntervalList.Add(new FltInterval(m_Interval.Min, Epsilon.Prev(interval.Min)));
result.m_IntervalList.Add(new FltInterval(Epsilon.Next(interval.Max), m_Interval.Max));
}
// 3
else
{
for ( ; idx < m_IntervalList.Count && interval.Contains(m_IntervalList[idx]); ++idx)
{
}
}
// 5
if (idx < m_IntervalList.Count &&
I5_IntersectMax(interval, m_IntervalList[idx]))
{
result.m_IntervalList.Add(m_IntervalList[idx].Difference(interval));
++idx;
}
// 1
for ( ; idx < m_IntervalList.Count; ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
result.CheckSimple();
}
return(result);
}
public FltDomain Union(FltDomain domain)
{
if (ReferenceEquals(domain, this))
{
return(this);
}
if (domain.IsEmpty())
{
return(this);
}
if (IsEmpty())
{
return(domain);
}
if (domain.IsSimple())
{
return(Union(domain.m_Interval));
}
if (IsSimple())
{
if (m_Interval.Contains(domain.m_Interval))
{
return(this);
}
return(domain.Union(m_Interval));
}
else
{
FltDomain result = new FltDomain();
result.m_Interval = m_Interval.Union(domain.m_Interval);
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count + domain.m_IntervalList.Count);
// 1 : completely before
if (domain.m_Interval.Max < m_Interval.Min)
{
result.m_IntervalList.AddRange(domain.m_IntervalList);
result.m_IntervalList.AddRange(m_IntervalList);
}
// 6 : completely after
else if (domain.m_Interval.Min > m_Interval.Max)
{
result.m_IntervalList.AddRange(m_IntervalList);
result.m_IntervalList.AddRange(domain.m_IntervalList);
}
else
{
int idx = 0;
int domIdx = 0;
bool equal = true;
while (idx < m_IntervalList.Count ||
domIdx < domain.m_IntervalList.Count)
{
// 6 :
if (idx == m_IntervalList.Count)
{
equal = false;
for ( ; domIdx < domain.m_IntervalList.Count; ++domIdx)
{
result.m_IntervalList.Add(domain.m_IntervalList[domIdx]);
}
}
// 1 : remaining intervals after
else if (domIdx == domain.m_IntervalList.Count)
{
for ( ; idx < m_IntervalList.Count; ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
}
else
{
FltInterval intv = m_IntervalList[idx];
FltInterval domIntv = domain.m_IntervalList[domIdx];
// 1 : completely before
if (domIntv.Max < intv.Min)
{
equal = false;
result.m_IntervalList.Add(domIntv);
++domIdx;
}
// 6 : completely after
else if (domIntv.Min > intv.Max)
{
result.m_IntervalList.Add(intv);
++idx;
}
// 3
else if (domIntv.Contains(intv))
{
equal = false;
++idx;
}
// 3
else if (intv.Contains(domIntv))
{
++domIdx;
}
// 2, 5
else
{
equal = false;
FltInterval intvTmp = intv.Union(domIntv);
++idx;
// contains...
for ( ; idx < m_IntervalList.Count &&
intvTmp.Contains(m_IntervalList[idx]);
++idx)
{
}
;
// intersect...
while (idx < m_IntervalList.Count &&
m_IntervalList[idx].IntersectsWith(intvTmp))
{
intvTmp = intvTmp.Union(m_IntervalList[idx]);
++idx;
}
result.m_IntervalList.Add(intvTmp);
++domIdx;
}
}
}
if (equal)
{
return(this);
}
result.CheckSimple();
}
return(result);
}
}
public FltDomain Union(FltInterval interval)
{
if (interval.IsEmpty())
{
return(this);
}
if (IsEmpty())
{
return(new FltDomain(interval));
}
// ~4
if (Contains(interval))
{
return(this);
}
// 3
if (interval.Contains(m_Interval))
{
return(new FltDomain(interval));
}
if (IsSimple())
{
// 1
if (interval.Max < m_Interval.Min)
{
return(new FltDomain(interval, m_Interval));
}
// 6
if (interval.Min > m_Interval.Max)
{
return(new FltDomain(m_Interval, interval));
}
// 2, 5
return(new FltDomain(m_Interval.Union(interval)));
}
else
{
FltDomain result = new FltDomain();
result.m_Interval = m_Interval.Union(interval);
result.m_IntervalList = new List <FltInterval>(m_IntervalList.Count + 1);
// 1
if (interval.Max < m_Interval.Min)
{
result.m_IntervalList.Add(interval);
result.m_IntervalList.AddRange(m_IntervalList);
}
// 6
else if (interval.Min > m_Interval.Max)
{
result.m_IntervalList.AddRange(m_IntervalList);
result.m_IntervalList.Add(interval);
}
else
{
// 6
int idx = 0;
for ( ; idx < m_IntervalList.Count && (m_IntervalList[idx].Max < interval.Min); ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
if (idx < m_IntervalList.Count)
{
FltInterval intv = interval;
// intersect
if (idx < m_IntervalList.Count &&
m_IntervalList[idx].IntersectsWith(intv))
{
intv = intv.Union(m_IntervalList[idx]);
++idx;
}
// 3
for ( ; idx < m_IntervalList.Count && intv.Contains(m_IntervalList[idx]); ++idx)
{
}
// intersect
if (idx < m_IntervalList.Count &&
m_IntervalList[idx].IntersectsWith(intv))
{
intv = intv.Union(m_IntervalList[idx]);
++idx;
}
result.m_IntervalList.Add(intv);
// 1
for ( ; idx < m_IntervalList.Count; ++idx)
{
result.m_IntervalList.Add(m_IntervalList[idx]);
}
}
else
{
// 6
result.m_IntervalList.Add(interval);
}
}
result.CheckSimple();
return(result);
}
}
public FltDomain(FltDomain domain)
{
m_Interval = domain.m_Interval;
m_IntervalList = domain.m_IntervalList;
}
public FltDomain Intersect(FltDomain domain)
{
if (ReferenceEquals(domain, this))
{
return(this);
}
if (domain.IsEmpty())
{
return(m_Empty);
}
if (domain.IsSimple())
{
return(Intersect(domain.m_Interval));
}
// 1, 6
if (!IntersectsWith(domain))
{
return(m_Empty);
}
// If the target is contained, then the result would be equal to the domain, hence we return the domain.
if (IsSimple())
{
if (domain.Contains(m_Interval))
{
return(this);
}
if (m_Interval.Contains(domain.m_Interval))
{
return(domain);
}
}
// Need to be a bit smart, put our interval in a list, in case it gets chopped up.
List <FltInterval> intervalList;
if (IsSimple())
{
intervalList = new List <FltInterval>(1);
intervalList.Add(m_Interval);
}
else
{
intervalList = m_IntervalList;
}
FltDomain result = new FltDomain();
result.m_IntervalList = new List <FltInterval>(intervalList.Count + domain.m_IntervalList.Count);
int idx = 0;
int domIdx = 0;
bool equal = true;
while (idx < intervalList.Count ||
domIdx < domain.m_IntervalList.Count)
{
// 6
if (idx == intervalList.Count)
{
domIdx = domain.m_IntervalList.Count;
}
// 1
else if (domIdx == domain.m_IntervalList.Count)
{
idx = intervalList.Count;
equal = false;
}
else
{
FltInterval intv = intervalList[idx];
FltInterval domIntv = domain.m_IntervalList[domIdx];
// 1 : completely before
if (domIntv.Max < intv.Min)
{
++domIdx;
}
// 6 : completely after
else if (domIntv.Min > intv.Max)
{
++idx;
equal = false;
}
// 3
else if (domIntv.Contains(intv))
{
result.m_IntervalList.Add(intv);
++idx;
}
// ~4 : divide into two intervals...
else if (I4_Divide(intv, domIntv))
{
result.m_IntervalList.Add(domIntv);
++domIdx;
equal = false;
}
// 2
else if (I2_IntersectMin(intv, domIntv))
{
result.m_IntervalList.Add(intv.Intersect(domIntv));
++domIdx;
equal = false;
}
// 5
else if (I5_IntersectMax(intv, domIntv))
{
result.m_IntervalList.Add(intv.Intersect(domIntv));
++idx;
equal = false;
}
}
}
if (equal)
{
return(this);
}
result.UpdateInterval();
return(result);
}
public SimpleIntervalEnumerator(FltDomain domain)
{
m_MoveNext = true;
m_Domain = domain;
}