/// <summary>
///
/// </summary>
/// <param name="parallel"></param>
/// <returns></returns>
public static GridField3d <Vec3d> GetGradient(this GridField3d <double> field, bool parallel = false)
{
var result = GridField3d.Vec3d.Create(field);
GetGradient(field, result, parallel);
return(result);
}
/// <summary>
///
/// </summary>
/// <param name="parallel"></param>
/// <returns></returns>
public static GridField3d <double> GetDivergence(this GridField3d <Vec3d> field, bool parallel = false)
{
var result = GridField3d.Double.Create(field);
GetDivergence(field, result, parallel);
return(result);
}
/// <summary>
///
/// </summary>
/// <param name="parallel"></param>
/// <returns></returns>
public static GridField3d <double> GetLaplacian(this GridField3d <double> field, bool parallel = false)
{
var result = GridField3d.Double.Create(field);
GetLaplacian(field, result, parallel);
return(result);
}
/// <summary>
///
/// </summary>
/// <typeparam name="U"></typeparam>
/// <param name="other"></param>
/// <param name="converter"></param>
/// <param name="parallel"></param>
/// <returns></returns>
public GridField3d <T> CreateCopy(GridField3d <T> other)
{
var result = Create(other);
result.Set(other);
return(result);
}
/// <summary>
///
/// </summary>
/// <typeparam name="U"></typeparam>
/// <param name="other"></param>
/// <param name="converter"></param>
/// <param name="parallel"></param>
/// <returns></returns>
public GridField3d <T> CreateCopy <U>(GridField3d <U> other, Func <U, T> converter, bool parallel = false)
where U : struct
{
var result = Create(other);
other.Convert(converter, result, parallel);
return(result);
}
/// <summary>
///
/// </summary>
/// <typeparam name="U"></typeparam>
/// <param name="other"></param>
/// <param name="converter"></param>
/// <param name="parallel"></param>
/// <returns></returns>
public GridField3d <T> Create <U>(GridField3d <U> other)
where U : struct
{
var result = Create((Grid3d)other);
result.SampleMode = other.SampleMode;
return(result);
}
/// <summary>
///
/// </summary>
public static void GetCurl(this GridField3d <Vec3d> field, Vec3d[] result, bool parallel = false)
{
// implementation reference
// http://www.math.harvard.edu/archive/21a_spring_09/PDF/13-05-curl-and-divergence.pdf
if (parallel)
{
Parallel.ForEach(Partitioner.Create(0, field.Count), range => Body(range.Item1, range.Item2));
}
else
{
Body(0, field.Count);
}
void Body(int from, int to)
{
var vals = field.Values;
int nx = field.CountX;
int ny = field.CountY;
int nz = field.CountZ;
int nxy = nx * ny;
(var dx, var dy, var dz) = (0.5 / field.Scale);
(int di, int dj, int dk) = field.GetBoundaryOffsets();
(int i, int j, int k) = field.IndicesAt(from);
for (int index = from; index < to; index++, i++)
{
if (i == nx)
{
j++; i = 0;
}
if (j == ny)
{
k++; j = 0;
}
Vec3d tx0 = (i == 0) ? vals[index + di] : vals[index - 1];
Vec3d tx1 = (i == nx - 1) ? vals[index - di] : vals[index + 1];
Vec3d ty0 = (j == 0) ? vals[index + dj] : vals[index - nx];
Vec3d ty1 = (j == ny - 1) ? vals[index - dj] : vals[index + nx];
Vec3d tz0 = (k == 0) ? vals[index + dk] : vals[index - nxy];
Vec3d tz1 = (k == nz - 1) ? vals[index - dk] : vals[index + nxy];
result[index] = new Vec3d(
(ty1.Z - ty0.Z) * dy - (tz1.Y - tz0.Y) * dz,
(tz1.X - tz0.X) * dz - (tx1.Z - tx0.Z) * dx,
(tx1.Y - tx0.Y) * dx - (ty1.X - ty0.X) * dy);
}
}
}
/// <summary>
///
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="images"></param>
/// <param name="field"></param>
/// <param name="mapper"></param>
public static void ReadFromImageStack <T>(IEnumerable <Bitmap> images, GridField3d <T> field, Func <Color, T> mapper)
where T : struct
{
int nxy = field.CountXY;
int index = 0;
Parallel.ForEach(images, image =>
{
ReadFromImage(image, field.Values, index, mapper);
index += nxy;
});
}
/// <summary>
///
/// </summary>
public static void GetLaplacian(this GridField3d <Vec3d> field, Vec3d[] result, bool parallel = false)
{
if (parallel)
{
Parallel.ForEach(Partitioner.Create(0, field.Count), range => Body(range.Item1, range.Item2));
}
else
{
Body(0, field.Count);
}
void Body(int from, int to)
{
var vals = field.Values;
int nx = field.CountX;
int ny = field.CountY;
int nz = field.CountZ;
int nxy = nx * ny;
(var dx, var dy, var dz) = field.Scale;
dx = 1.0 / (dx * dx);
dy = 1.0 / (dy * dy);
dz = 1.0 / (dz * dz);
(int di, int dj, int dk) = field.GetBoundaryOffsets();
(int i, int j, int k) = field.IndicesAt(from);
for (int index = from; index < to; index++, i++)
{
if (i == nx)
{
j++; i = 0;
}
if (j == ny)
{
k++; j = 0;
}
Vec3d tx0 = (i == 0) ? vals[index + di] : vals[index - 1];
Vec3d tx1 = (i == nx - 1) ? vals[index - di] : vals[index + 1];
Vec3d ty0 = (j == 0) ? vals[index + dj] : vals[index - nx];
Vec3d ty1 = (j == ny - 1) ? vals[index - dj] : vals[index + nx];
Vec3d tz0 = (k == 0) ? vals[index + dk] : vals[index - nxy];
Vec3d tz1 = (k == nz - 1) ? vals[index - dk] : vals[index + nxy];
Vec3d t = vals[index] * 2.0;
result[index] = (tx0 + tx1 - t) * dx + (ty0 + ty1 - t) * dy + (tz0 + tz1 - t) * dz;
}
}
}
/// <summary>
/// Adds the Laplacian of the field to the deltas array.
/// http://en.wikipedia.org/wiki/Discrete_Laplace_operator
/// </summary>
/// <param name="field"></param>
/// <param name="deltas"></param>
/// <param name="rate"></param>
/// <param name="parallel"></param>
public static void Diffuse(GridField3d <double> field, double[] deltas, double rate, bool parallel = false)
{
if (parallel)
{
Parallel.ForEach(Partitioner.Create(0, field.Count), range => Body(range.Item1, range.Item2));
}
else
{
Body(0, field.Count);
}
void Body(int from, int to)
{
var vals = field.Values;
int nx = field.CountX;
int ny = field.CountY;
int nz = field.CountZ;
int nxy = field.CountXY;
(double dx, double dy, double dz) = field.Scale;
dx = 1.0 / (dx * dx);
dy = 1.0 / (dy * dy);
dz = 1.0 / (dz * dz);
(int di, int dj, int dk) = field.GetBoundaryOffsets();
(int i, int j, int k) = field.IndicesAt(from);
for (int index = from; index < to; index++, i++)
{
if (i == nx)
{
j++; i = 0;
}
if (j == ny)
{
k++; j = 0;
}
double tx0 = (i == 0) ? vals[index + di] : vals[index - 1];
double tx1 = (i == nx - 1) ? vals[index - di] : vals[index + 1];
double ty0 = (j == 0) ? vals[index + dj] : vals[index - nx];
double ty1 = (j == ny - 1) ? vals[index - dj] : vals[index + nx];
double tz0 = (k == 0) ? vals[index + dk] : vals[index - nxy];
double tz1 = (k == nz - 1) ? vals[index - dk] : vals[index + nxy];
double t = vals[index] * 2.0;
deltas[index] += ((tx0 + tx1 - t) * dx + (ty0 + ty1 - t) * dy + (tz0 + tz1 - t) * dz) * rate;
}
}
}
/// <summary>
///
/// </summary>
/// <param name="result"></param>
/// <param name="parallel"></param>
public static void GetGradient(this GridField3d <double> field, Vec3d[] result, bool parallel = false)
{
if (parallel)
{
Parallel.ForEach(Partitioner.Create(0, field.Count), range => Body(range.Item1, range.Item2));
}
else
{
Body(0, field.Count);
}
void Body(int from, int to)
{
var vals = field.Values;
int nx = field.CountX;
int ny = field.CountY;
int nz = field.CountZ;
int nxy = nx * ny;
(var dx, var dy, var dz) = (0.5 / field.Scale);
(int di, int dj, int dk) = field.GetBoundaryOffsets();
(int i, int j, int k) = field.IndicesAt(from);
for (int index = from; index < to; index++, i++)
{
if (i == nx)
{
j++; i = 0;
}
if (j == ny)
{
k++; j = 0;
}
double tx0 = (i == 0) ? vals[index + di] : vals[index - 1];
double tx1 = (i == nx - 1) ? vals[index - di] : vals[index + 1];
double ty0 = (j == 0) ? vals[index + dj] : vals[index - nx];
double ty1 = (j == ny - 1) ? vals[index - dj] : vals[index + nx];
double tz0 = (k == 0) ? vals[index + dk] : vals[index - nxy];
double tz1 = (k == nz - 1) ? vals[index - dk] : vals[index + nxy];
result[index] = new Vec3d((tx1 - tx0) * dx, (ty1 - ty0) * dy, (tz1 - tz0) * dz);
}
}
}
/// <summary>
///
/// </summary>
/// <param name="field"></param>
/// <param name="path"></param>
/// <param name="mapper"></param>
public static void SaveAsImageStack <T>(GridField3d <T> field, string path, Func <T, Color> mapper)
where T : struct
{
string dir = Path.GetDirectoryName(path);
string name = Path.GetFileNameWithoutExtension(path);
string ext = Path.GetExtension(path);
Parallel.For(0, field.CountZ, z =>
{
using (Bitmap bmp = new Bitmap(field.CountX, field.CountY, PixelFormat.Format32bppArgb))
{
WriteToImage(field, z, bmp, mapper);
bmp.Save(String.Format(@"{0}\{1}_{2}{3}", dir, name, z, ext));
}
});
}
/// <inheritdoc/>
/// <summary>
///
/// </summary>
/// <param name="point"></param>
/// <param name="value"></param>
/// <returns></returns>
public static void SetAt(this GridField3d <Vec3d> field, GridPoint3d point, Vec3d value)
{
FieldUtil.SetAt(field, point.Corners, point.Weights, value);
}
/// <summary>
///
/// </summary>
/// <param name="point"></param>
/// <param name="amount"></param>
public static void IncrementAt(this GridField3d <Vec3d> field, GridPoint3d point, Vec3d amount)
{
FieldUtil.IncrementAt(field, point.Corners, point.Weights, amount);
}
/// <summary>
///
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="field"></param>
/// <param name="layer"></param>
/// <param name="mapper"></param>
/// <param name="image"></param>
public static void ReadFromImage <T>(Bitmap image, GridField3d <T> field, int layer, Func <Color, T> mapper)
where T : struct
{
ReadFromImage(image, field.Values, layer * field.CountXY, mapper);
}
/// <summary>
/// http://micsymposium.org/mics_2011_proceedings/mics2011_submission_30.pdf
/// </summary>
/// <param name="field"></param>
/// <param name="deltas"></param>
/// <param name="slope"></param>
/// <param name="rate"></param>
/// <param name="parallel"></param>
public static void ErodeThermal(GridField3d <double> field, double[] deltas, double slope, double rate, bool parallel = false)
{
if (parallel)
{
Parallel.ForEach(Partitioner.Create(0, field.Count), range => Body(range.Item1, range.Item2));
}
else
{
Body(0, field.Count);
}
void Body(int from, int to)
{
var vals = field.Values;
int nx = field.CountX;
int ny = field.CountY;
int nz = field.CountZ;
int nxy = field.CountXY;
(double dx, double dy, double dz) = field.Scale;
dx = 1.0 / Math.Abs(dx);
dy = 1.0 / Math.Abs(dy);
dz = 1.0 / Math.Abs(dz);
(int di, int dj, int dk) = field.GetBoundaryOffsets();
(int i, int j, int k) = field.IndicesAt(from);
for (int index = from; index < to; index++, i++)
{
if (i == nx)
{
j++; i = 0;
}
if (j == ny)
{
k++; j = 0;
}
double value = vals[index];
double sum = 0.0;
double m, md;
//-x
m = ((i == 0) ? vals[index + di] : vals[index - 1]) - value;
md = Math.Abs(m * dx) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
//+x
m = ((i == nx - 1) ? vals[index - di] : vals[index + 1]) - value;
md = Math.Abs(m * dx) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
//-y
m = ((j == 0) ? vals[index + dj] : vals[index - nx]) - value;
md = Math.Abs(m * dy) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
//+y
m = ((j == ny - 1) ? vals[index - dj] : vals[index + nx]) - value;
md = Math.Abs(m * dy) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
//-z
m = (k == 0) ? vals[index + dk] - value : vals[index - nxy] - value;
md = Math.Abs(m * dz) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
//+z
m = ((k == nz - 1) ? vals[index - dk] : vals[index + nxy]) - value;
md = Math.Abs(m * dz) - slope;
if (md > 0.0)
{
sum += Math.Sign(m) * md;
}
deltas[index] += sum * rate;
}
}
}
/// <summary>
/// Writes a layer of the given field to an existing image.
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="field"></param>
/// <param name="layer"></param>
/// <param name="mapper"></param>
/// <param name="image"></param>
public static void WriteToImage <T>(GridField3d <T> field, int layer, Bitmap image, Func <T, Color> mapper)
where T : struct
{
WriteToImage(field.Values, layer * field.CountXY, image, mapper);
}