/*
This small example creates a line and a plane from points.
It then computes the intersection point of the line and the plane.
In this step, all GA variables are stored in specialized multivector types,
such as 'line', 'plane' and 'flatPoint'.
*/
static void Main(string[] args)
{
// get five points
normalizedPoint linePt1 = c3ga.cgaPoint(1.0f, 0.0f, 0.0f);
normalizedPoint linePt2 = c3ga.cgaPoint(1.0f, 1.0f, 0.0f);
normalizedPoint planePt1 = c3ga.cgaPoint(1.0f, 2.0f, 0.0f);
normalizedPoint planePt2 = c3ga.cgaPoint(1.0f, 2.0f, 1.0f);
normalizedPoint planePt3 = c3ga.cgaPoint(0.0f, 2.0f, 1.0f);
// output text the can be copy-pasted into GAViewer
Console.WriteLine("linePt1 = " + linePt1 + ",");
Console.WriteLine("linePt2 = " + linePt2 + ",");
Console.WriteLine("planePt1 = " + planePt1 + ",");
Console.WriteLine("planePt2 = " + planePt2 + ",");
Console.WriteLine("planePt3 = " + planePt3 + ",");
// create line and plane out of points
line L = new line((mv)linePt1 ^ (mv)linePt2 ^ (mv)c3ga.ni);
//line L = new line(c3ga.op(linePt1, c3ga.op(linePt2, c3ga.ni))); // alternative, no explicit conversion required
plane P = new plane((mv)planePt1 ^ (mv)planePt2 ^ (mv)planePt3 ^ (mv)c3ga.ni);
//plane P = new plane(c3ga.op(planePt1, c3ga.op(planePt2, c3ga.op(planePt3, c3ga.ni)))); // alternative, no explicit conversion required
// output text the can be copy-pasted into GAViewer
Console.WriteLine("L = " + L + ",");
Console.WriteLine("P = " + P + ",");
// compute intersection of line and plane
flatPoint intersection = new flatPoint(c3ga.lc(c3ga.dual(L), P));
Console.WriteLine("intersection = " + intersection + ",");
}
public void Set(line a)
{
m_c[0] = a.m_c[0];
m_c[1] = a.m_c[1];
m_c[2] = a.m_c[2];
m_c[3] = a.m_c[3];
m_c[4] = a.m_c[4];
m_c[5] = a.m_c[5];
}
/// <summary>sets this to line value.
/// </summary>
public void Set(line src)
{
AllocateGroups(GroupBitmap.GROUP_3);
float[] ptr;
ptr = m_c[3];
ptr[0] = ptr[1] = ptr[2] = ptr[3] = 0.0f;
ptr[4] = -src.m_c[3];
ptr[5] = -src.m_c[4];
ptr[6] = src.m_c[0];
ptr[7] = -src.m_c[5];
ptr[8] = src.m_c[1];
ptr[9] = src.m_c[2];
}
/*
This small example creates a line and a plane from points.
It then computes the intersection point of the line and the plane.
In this step, the 'reportUsage' functionality is used to extract what
specialized functions and types are missing.
*/
static void Main(string[] args)
{
// get five points
normalizedPoint linePt1 = c3ga.cgaPoint(1.0f, 0.0f, 0.0f);
normalizedPoint linePt2 = c3ga.cgaPoint(1.0f, 1.0f, 0.0f);
normalizedPoint planePt1 = c3ga.cgaPoint(1.0f, 2.0f, 0.0f);
normalizedPoint planePt2 = c3ga.cgaPoint(1.0f, 2.0f, 1.0f);
normalizedPoint planePt3 = c3ga.cgaPoint(0.0f, 2.0f, 1.0f);
// output text the can be copy-pasted into GAViewer
Console.WriteLine("linePt1 = " + linePt1 + ",");
Console.WriteLine("linePt2 = " + linePt2 + ",");
Console.WriteLine("planePt1 = " + planePt1 + ",");
Console.WriteLine("planePt2 = " + planePt2 + ",");
Console.WriteLine("planePt3 = " + planePt3 + ",");
// create line and plane out of points
//line L = new line(linePt1 ^ (linePt2 ^ c3ga.ni));
line L = new line(c3ga.op(linePt1, c3ga.op(linePt2, c3ga.ni))); // alternative, no explicit conversion required
//plane P = new plane(planePt1 ^ (planePt2 ^ (planePt3 ^ c3ga.ni)));
plane P = new plane(c3ga.op(planePt1, c3ga.op(planePt2, c3ga.op(planePt3, c3ga.ni)))); // alternative, no explicit conversion required
// output text the can be copy-pasted into GAViewer
Console.WriteLine("L = " + L + ",");
Console.WriteLine("P = " + P + ",");
// compute intersection of line and plane
flatPoint intersection = new flatPoint(c3ga.lc(c3ga.dual(L), P));
Console.WriteLine("intersection = " + intersection + ",");
// output what functions could be optimized
bool includeCount = true;
Console.Write(ReportUsage.GetReport(includeCount));
}
/// <summary>sets this to line value.
/// </summary>
public void Set(line src)
{
AllocateGroups(GroupBitmap.GROUP_3);
float[] ptr;
ptr = m_c[3];
ptr[0] = ptr[1] = ptr[2] = ptr[3] = 0.0f;
ptr[4] = -src.m_c[3];
ptr[5] = -src.m_c[4];
ptr[6] = src.m_c[0];
ptr[7] = -src.m_c[5];
ptr[8] = src.m_c[1];
ptr[9] = src.m_c[2];
}
/// <summary>
/// Converts a line to a mv.
/// </summary>
public mv(line A)
{
Set(A);
}
/// <summary>
/// Copy constructor.
/// </summary>
public line(line A)
{
Set(A);
}
public void Set(line a)
{
m_c[0] = a.m_c[0];
m_c[1] = a.m_c[1];
m_c[2] = a.m_c[2];
m_c[3] = a.m_c[3];
m_c[4] = a.m_c[4];
m_c[5] = a.m_c[5];
}
/// <summary>shortcut to c3ga.op(this, b)
/// </summary>
public plane op(line b)
{
return(c3ga.op(this, b));
}
/// <summary>
/// Converts a line to a mv.
/// </summary>
public mv(line A)
{
Set(A);
}
/// <summary>
/// Copy constructor.
/// </summary>
public line(line A)
{
Set(A);
}
/// <summary>Returns dual of line using default metric.
/// </summary>
public static dualLine dual(line a)
{
return new dualLine(dualLine.coord_e1e2_e1e3_e2e3_e1ni_e2ni_e3ni,
a.m_c[5], // e1_e2
-a.m_c[4], // e1_e3
a.m_c[3], // e2_e3
-a.m_c[2], // e1_ni
a.m_c[1], // e2_ni
-a.m_c[0] // e3_ni
);
}
/// <summary>Returns outer product of normalizedPoint and line.
/// </summary>
public static plane op(normalizedPoint a, line b)
{
return new plane(plane.coord_e1e2e3ni_noe2e3ni_noe1e3ni_noe1e2ni,
(a.m_c[0]*b.m_c[2]-a.m_c[1]*b.m_c[1]+a.m_c[2]*b.m_c[0]), // e1_e2_e3_ni
(a.m_c[1]*b.m_c[5]-a.m_c[2]*b.m_c[4]+b.m_c[2]), // no_e2_e3_ni
(a.m_c[0]*b.m_c[5]-a.m_c[2]*b.m_c[3]+b.m_c[1]), // no_e1_e3_ni
(a.m_c[0]*b.m_c[4]-a.m_c[1]*b.m_c[3]+b.m_c[0]) // no_e1_e2_ni
);
}
/// <summary>shortcut to c3ga.op(this, b)
/// </summary>
public plane op(line b)
{
return c3ga.op(this, b);
}