static public Polynome2D MultiplyXYPolygones(Polynome1D xPolygon, Polynome1D yPolygon)
{
Polynome2D result = new Polynome2D();
for (int x = 0; x < xPolygon.termCount; x++)
{
Term1D xTerm = xPolygon.terms[x];
for (int y = 0; y < yPolygon.termCount; y++)
{
Term1D yTerm = yPolygon.terms[y];
Term2D xyTerm = Term2D.MultiplyXYTerms(xTerm, yTerm);
result += xyTerm;
}
result.AddXTerm(xTerm * yPolygon.constant);
}
for (int y = 0; y < yPolygon.termCount; y++)
{
Term1D yTerm = yPolygon.terms[y];
result.AddYTerm(yTerm * xPolygon.constant);
}
result.m_k = xPolygon.constant * yPolygon.constant;
return(result);
}
public static Term2D operator *(Term2D a, Term2D b)
{
Term2D result = new Term2D();
result.m_scalar = a.m_scalar * b.m_scalar;
result.m_xPower = a.m_xPower + b.m_xPower;
result.m_yPower = a.m_yPower + b.m_yPower;
return(result);
}
static public Term2D MultiplyXYTerms(Term1D xPolygon, Term1D yPolygon)
{
Term2D result = new Term2D();
result.m_xPower = xPolygon.power;
result.m_yPower = yPolygon.power;
result.m_scalar = xPolygon.scalar * yPolygon.scalar;
return(result);
}
public void AddXYTerm(Term2D term)
{
for (int i = 0; i < m_xyTerms.Count; i++)
{
Term2D xyTerm = m_xyTerms[i];
if ((xyTerm.xPower == term.xPower) && (xyTerm.yPower == term.yPower))
{
xyTerm += term.scalar;
m_xyTerms[i] = xyTerm;
return;
}
}
m_xyTerms.Add(term);
}
static public Polynome2D operator +(Polynome2D polynome, Term2D term)
{
for (int i = 0; i < polynome.m_xyTerms.Count; i++)
{
Term2D xyTerm = polynome.m_xyTerms[i];
if ((xyTerm.xPower == term.xPower) && (xyTerm.yPower == term.yPower))
{
xyTerm += term.scalar;
polynome.m_xyTerms[i] = xyTerm;
return(polynome);
}
}
polynome.m_xyTerms.Add(term);
return(polynome);
}
public void Optimize()
{
Debug.Log("NOT IMPLEMENTED : Polynome2D.Optimize()");
List <Term1D> xTerms = new List <Term1D>();
List <Term1D> yTerms = new List <Term1D>();
List <Term2D> xyTerms = new List <Term2D>();
List <float> xPowers = new List <float>();
List <float> yPowers = new List <float>();
List <Vector2> xyPowers = new List <Vector2>();
int index;
float xPower, yPower;
foreach (Term2D xyTerm in m_xyTerms)
{
xPower = xyTerm.xPower;
yPower = xyTerm.yPower;
if ((xPower == 0) && (yPower == 0))
{
// Cas constante
m_k += xyTerm.scalar;
}
else if (xPower == 0)
{
// convertir en y seul
index = yPowers.IndexOf(yPower);
if (index >= 0)
{
// Présence de duplicatas, que l'on rassemble
Term1D presentYTerm = yTerms[index];
presentYTerm += xyTerm.scalar;
yTerms[index] = presentYTerm;
}
else
{
yPowers.Add(yPower);
Term1D term = new Term1D(yPower, xyTerm.scalar);
yTerms.Add(term);
}
}
else if (yPower == 0)
{
// convertir en x seul
index = xPowers.IndexOf(xPower);
if (index >= 0)
{
// Présence de duplicatas, que l'on rassemble
Term1D presentXTerm = xTerms[index];
presentXTerm += xyTerm.scalar;
xTerms[index] = presentXTerm;
}
else
{
xPowers.Add(xPower);
Term1D term = new Term1D(xPower, xyTerm.scalar);
xTerms.Add(term);
}
}
else
{
Vector2 xyPower = new Vector2(xPower, yPower);
index = xyPowers.IndexOf(xyPower);
if (index >= 0)
{
// Présence de duplicatas, que l'on rassemble
Term2D presentXTerm = xyTerms[index];
presentXTerm += xyTerm.scalar;
xyTerms[index] = presentXTerm;
}
else
{
xyPowers.Add(xyPower);
xyTerms.Add(xyTerm);
}
}
}
foreach (Term1D xTerm in m_xTerms)
{
xPower = xTerm.power;
if (xPower == 0)
{
// Cas constante
m_k += xTerm.scalar;
}
else
{
index = xPowers.IndexOf(xPower);
if (index >= 0)
{
// Présence de duplicatas, que l'on rassemble
Term1D presentXTerm = xTerms[index];
presentXTerm += xTerm.scalar;
xTerms[index] = presentXTerm;
}
else
{
xPowers.Add(xPower);
xTerms.Add(xTerm);
}
}
}
foreach (Term1D yTerm in m_yTerms)
{
yPower = yTerm.power;
if (yPower == 0)
{
// Cas constante
m_k += yTerm.scalar;
}
else
{
index = yPowers.IndexOf(yPower);
if (index >= 0)
{
// Présence de duplicatas, que l'on rassemble
Term1D presentYTerm = yTerms[index];
presentYTerm += yTerm.scalar;
yTerms[index] = presentYTerm;
}
else
{
yPowers.Add(yPower);
yTerms.Add(yTerm);
}
}
}
}
public static void Main(string[] args)
{
Term2D.Start(new ExampleGame());
}
public XMLTerm2D(Term2D term)
{
m_scalar = term.scalar;
m_xPower = term.xPower;
m_yPower = term.yPower;
}
