public static void _M_Pow(Index2 size, ArrayView2D <float> m, int p)
{
var x = size.X;
var y = size.Y;
m[x, y] = GPUMath.Pow(m[x, y], p);
}
public static void CosineSimilarityKernel(
Index index,
ArrayView2D <int> dataset,
ArrayView2D <double> distances)
{
int rows = dataset.Rows;
int i = index / rows;
int j = index % rows;
if (i < j)
{
return;
}
double dotProduct = 0;
double magnitudeOne = 0;
double magnitudeTwo = 0;
for (int k = 0; k < dataset.Columns; k++)
{
dotProduct += (dataset[i, k] * dataset[j, k]);
magnitudeOne += (dataset[i, k] * dataset[i, k]);
magnitudeTwo += (dataset[j, k] * dataset[j, k]);
}
double distance = double.NaN;
double divisor = GPUMath.Sqrt(magnitudeOne * magnitudeTwo);
if (divisor != 0)
{
distance = GPUMath.Max(0, 1 - (dotProduct / divisor));
}
distances[i, j] = distance;
distances[j, i] = distance;
}
public static void _M_Sqrt(Index2 size, ArrayView2D <float> output, ArrayView2D <float> m)
{
var x = size.X;
var y = size.Y;
output[x, y] = GPUMath.Sqrt(m[x, y]);
}
/// <summary>
/// Clamps the given index value according to Max(Min(clamp, max), min).
/// </summary>
/// <param name="value">The value to clamp.</param>
/// <param name="min">The first argument.</param>
/// <param name="max">The second argument.</param>
/// <returns>The clamped value in the interval [min, max].</returns>
public static Index3 Clamp(Index3 value, Index3 min, Index3 max)
{
return(new Index3(
GPUMath.Clamp(value.X, min.X, max.X),
GPUMath.Clamp(value.Y, min.Y, max.Y),
GPUMath.Clamp(value.Z, min.Z, max.Z)));
}
/// <summary>
/// Computes max(first, second).
/// </summary>
/// <param name="first">The first argument.</param>
/// <param name="second">The second argument.</param>
/// <returns>The maximum of first and second value.</returns>
public static Index3 Max(Index3 first, Index3 second)
{
return(new Index3(
GPUMath.Max(first.X, second.X),
GPUMath.Max(first.Y, second.Y),
GPUMath.Max(first.Z, second.Z)));
}
public static void _M_euclidian_distance(Index2 size, ArrayView2D <float> output, Index2 position)
{
var x = size.X;
var y = size.Y;
output[x, y] = GPUMath.Sqrt(GPUMath.Pow(x - position.X, 2) + GPUMath.Pow(y - position.Y, 2));
}
public static void kernel_m_Sqrt(Index2 pos, ArrayView2D <float> output, ArrayView2D <float> arr)
{
int x = pos.X;
int y = pos.Y;
output[x, y] = GPUMath.Sqrt(arr[x, y]);
}
/// <summary>
/// A simple 1D kernel using math functions.
/// The GPUMath class contains intrinsic math functions that -
/// in contrast to the default .Net Math class -
/// work on both floats and doubles.
/// Note that both classes are supported on all
/// accelerators. The CompileUnitFlags.FastMath flag can be used during the creation of the
/// compile unit to enable fast math intrinsics.
/// </summary>
/// <param name="index">The current thread index.</param>
/// <param name="dataView">The view pointing to our memory buffer.</param>
/// <param name="constant">A uniform constant.</param>
static void MathKernel(
Index index, // The global thread index (1D in this case)
ArrayView <float> singleView, // A view of floats to store float results from GPUMath
ArrayView <double> doubleView, // A view of doubles to store double results from GPUMath
ArrayView <double> doubleView2) // A view of doubles to store double results from .Net Math
{
// Note the different returns type of GPUMath.Sqrt and Math.Sqrt.
singleView[index] = GPUMath.Sqrt(index);
doubleView[index] = GPUMath.Sqrt((double)index);
doubleView2[index] = Math.Sqrt(index);
}
public float hit(float ox1, float oy1, ref float n1)
{
float dx = ox1 - x;
float dy = oy1 - y;
if (dx * dx + dy * dy < radius * radius)
{
float dz = GPUMath.Sqrt(radius * radius - dx * dx - dy * dy);
n1 = dz / GPUMath.Sqrt(radius * radius);
return(dz + z);
}
return(-2e10f);
}
public static void kernel_V_Pow(Index pos, ArrayView <float> output, ArrayView <float> arr, float exp)
{
int x = pos.X;
output[x] = GPUMath.Pow(arr[x], exp);
}
public static void MathKernel(Index2 index, ArrayView2D<float> singleView)
{
singleView[index.X, index.Y] = GPUMath.Sqrt(index.X * index.Y);
}
/// <summary>
/// Computes max(first, second).
/// </summary>
/// <param name="first">The first argument.</param>
/// <param name="second">The second argument.</param>
/// <returns>The maximum of first and second value.</returns>
public static Index2 Max(Index2 first, Index2 second)
{
return(new Index2(
GPUMath.Max(first.X, second.X),
GPUMath.Max(first.Y, second.Y)));
}
/// <summary>
/// Clamps the given index value according to Max(Min(clamp, max), min).
/// </summary>
/// <param name="value">The value to clamp.</param>
/// <param name="min">The first argument.</param>
/// <param name="max">The second argument.</param>
/// <returns>The clamped value in the interval [min, max].</returns>
public static Index2 Clamp(Index2 value, Index2 min, Index2 max)
{
return(new Index2(
GPUMath.Clamp(value.X, min.X, max.X),
GPUMath.Clamp(value.Y, min.Y, max.Y)));
}
static void NearHorizonKernel1(
Index index, // Horizon angle as integer
int target_line, // row within the 128 x 128 target patch
int target_sample, // column
int line_offset,
int sample_offset,
int points_rows,
int points_columns,
float d_min,
float d_max,
float d_step,
ArrayView <float> points,
ArrayView <float> matrices,
ArrayView <float> horizon,
ArrayView <float> test_floats)
{
//if (index == 0)
//{
// var delme = 1;
//}
// Copy the matrix into registers
var pos = (target_line * TerrainPatch.DefaultSize + target_sample) * 12;
var row0x = matrices[pos++];
var row1x = matrices[pos++];
var row2x = matrices[pos++];
var row3x = matrices[pos++];
var row0y = matrices[pos++];
var row1y = matrices[pos++];
var row2y = matrices[pos++];
var row3y = matrices[pos++];
var row0z = matrices[pos++];
var row1z = matrices[pos++];
var row2z = matrices[pos++];
var row3z = matrices[pos];
// Work out the location of the central point in the point array
float center_line = target_line + line_offset;
float center_sample = target_sample + sample_offset;
var caster_line_max = (float)points_rows - 1;
var caster_sample_max = (float)points_columns - 1;
// Work out the direction vector
var ray_angle = 3.141592653589f * 2f * index / (TerrainPatch.NearHorizonOversample * Horizon.HorizonSamples);
var ray_cos = GPUMath.Cos(ray_angle);
var ray_sin = GPUMath.Sin(ray_angle);
// Work out the direction in horizon space (the horizon offset). This duplicates the calculation of the first point.
// I'm duplicating code rather than refactoring, because there would be a lot of values to pass
float azimuth_rad;
{
var d = 1f;
var caster_line = center_line + ray_sin * d;
var caster_sample = center_sample + ray_cos * d;
var x1 = (int)caster_sample; // Calculate the caster point by interpolating between four points from the points array
var y1 = (int)caster_line;
int x2 = x1 + 1;
int y2 = y1 + 1;
var q11_offset = 3 * (y1 * points_columns + x1); // (y1, x1);
var q11 = new Vector3(points[q11_offset], points[q11_offset + 1], points[q11_offset + 2]);
var q12_offset = 3 * (y2 * points_columns + x1); // (y2, x1);
var q12 = new Vector3(points[q12_offset], points[q12_offset + 1], points[q12_offset + 2]);
// First interpolation across rows (line)
var q1_line = q11 + (caster_line - y1) * (q12 - q11);
var q21_offset = 3 * (y1 * points_columns + x2); // (y1, x2);
var q21 = new Vector3(points[q21_offset], points[q21_offset + 1], points[q21_offset + 2]);
var q22_offset = 3 * (y2 * points_columns + x2); // (y2, x2);
var q22 = new Vector3(points[q22_offset], points[q22_offset + 1], points[q22_offset + 2]);
// Second interpolation across rows
var q2_line = q21 + (caster_line - y1) * (q22 - q21);
// Interpolate across samples
var caster = q1_line + (caster_sample - x1) * (q2_line - q1_line);
// Break out the coordinates
var x_patch = caster.X;
var y_patch = caster.Y;
var z_patch = caster.Z;
// Transform the point to the local frame
var x = x_patch * row0x + y_patch * row1x + z_patch * row2x + row3x;
var y = x_patch * row0y + y_patch * row1y + z_patch * row2y + row3y;
var z = x_patch * row0z + y_patch * row1z + z_patch * row2z + row3z;
// Adjust for solar array height (this is temporary, and I'm not sure we want this in the final version)
z -= ObserverHeight; // meters
azimuth_rad = GPUMath.Atan2(y, x) + GPUMath.PI; // [0,2PI]
}
var normalized_azimuth = (Horizon.HorizonSamples - 1) * azimuth_rad / (2d * Math.PI); // range [0,1)
var horizon_offset = (int)(0.5d + normalized_azimuth);
Debug.Assert(horizon_offset >= 0 && horizon_offset < Horizon.HorizonSamples);
// index is which direction in [target_line,target_sample]'s horizon we're working on, but could be oversamples
var horizon_index = (target_line * TerrainPatch.DefaultSize + target_sample) * Horizon.HorizonSamples + horizon_offset;
var highest_slope = horizon[horizon_index];
//test_floats[index] = ray_sin;
for (var d = d_min; d <= d_max; d += d_step)
{
// Generate the location of the caster point in the points array
var caster_line = center_line + ray_sin * d;
var caster_sample = center_sample + ray_cos * d;
test_floats[index] = caster_sample;
/*{
* var idx = index == 2160 ? 7 : 11;
* test_floats[idx] = d;
* test_floats[idx + 1] = ray_angle;
* test_floats[idx + 2] = caster_line - line_offset;
* test_floats[idx + 3] = caster_sample - sample_offset;
* }*/
if (caster_line < 1f || caster_line > caster_line_max || caster_sample < 1f || caster_sample > caster_sample_max)
{
break;
}
// Calculate the caster point by interpolating between four points from the points array
var x1 = (int)caster_sample;
var y1 = (int)caster_line;
int x2 = x1 + 1;
int y2 = y1 + 1;
var q11_offset = 3 * (y1 * points_columns + x1); // (y1, x1);
var q11 = new Vector3(points[q11_offset], points[q11_offset + 1], points[q11_offset + 2]);
var q12_offset = 3 * (y2 * points_columns + x1); // (y2, x1);
var q12 = new Vector3(points[q12_offset], points[q12_offset + 1], points[q12_offset + 2]);
// First interpolation across rows (line)
var q1_line = q11 + (caster_line - y1) * (q12 - q11);
var q21_offset = 3 * (y1 * points_columns + x2); // (y1, x2);
var q21 = new Vector3(points[q21_offset], points[q21_offset + 1], points[q21_offset + 2]);
var q22_offset = 3 * (y2 * points_columns + x2); // (y2, x2);
var q22 = new Vector3(points[q22_offset], points[q22_offset + 1], points[q22_offset + 2]);
// Second interpolation across rows
var q2_line = q21 + (caster_line - y1) * (q22 - q21);
// Interpolate across samples
var caster = q1_line + (caster_sample - x1) * (q2_line - q1_line);
// Break out the coordinates
var x_patch = caster.X;
var y_patch = caster.Y;
var z_patch = caster.Z;
// Transform the point to the local frame
var x = x_patch * row0x + y_patch * row1x + z_patch * row2x + row3x;
var y = x_patch * row0y + y_patch * row1y + z_patch * row2y + row3y;
var z = x_patch * row0z + y_patch * row1z + z_patch * row2z + row3z;
var alen = GPUMath.Sqrt(x * x + y * y);
var slope = z / alen;
if (slope > highest_slope)
{
highest_slope = slope;
}
/*if (target_line==0 && target_sample==0 && index == 0)
* {
* test_floats[0] = slope;
* test_floats[1] = x_patch;
* test_floats[2] = y_patch;
* test_floats[3] = z_patch;
* test_floats[4] = x;
* test_floats[5] = y;
* test_floats[6] = z;
* }*/
}
horizon[horizon_index] = highest_slope;
}
public static void _V_euclidian_distance(Index size, ArrayView <float> output, Index position)
{
var x = size.X;
output[x] = GPUMath.Sqrt(GPUMath.Pow(x - position.X, 2));
}
public static void _V_Max(Index size, ArrayView <float> output, ArrayView <float> v, ArrayView <float> v1)
{
int x = size.X;
output[x] = GPUMath.Max(v[x], v1[x]);
}
public static void _V_Exp(Index size, ArrayView <float> output, ArrayView <float> v)
{
int x = size.X;
output[x] = GPUMath.Exp(v[x]);
}
/// <summary>
/// Computes max(first, second).
/// </summary>
/// <param name="first">The first argument.</param>
/// <param name="second">The second argument.</param>
/// <returns>The maximum of first and second value.</returns>
public static Index Max(Index first, Index second)
{
return(new Index(GPUMath.Max(first.X, second.X)));
}
public static void kernel_V_Sin(Index pos, ArrayView <float> output, ArrayView <float> arr)
{
int x = pos.X;
output[x] = GPUMath.Sin(arr[x]);
}
public static void _V_Pow(Index size, ArrayView <float> output, ArrayView <float> v, int p)
{
var x = size.X;
output[x] = GPUMath.Pow(v[x], p);
}
public static void V_Cos(Index pos, ArrayView <float> output, ArrayView <float> arr)
{
int x = pos.X;
output[x] = GPUMath.Cos(arr[x]);
}
public static void _V_Log(Index size, ArrayView <float> output, ArrayView <float> v)
{
var x = size.X;
output[x] = GPUMath.Log(v[x]);
}
/// <summary>
/// Clamps the given index value according to Max(Min(clamp, max), min).
/// </summary>
/// <param name="value">The value to clamp.</param>
/// <param name="min">The first argument.</param>
/// <param name="max">The second argument.</param>
/// <returns>The clamped value in the interval [min, max].</returns>
public static Index Clamp(Index value, Index min, Index max)
{
return(new Index(GPUMath.Clamp(value.X, min.X, max.X)));
}
static void ShadowKernel1(
GroupedIndex2 index,
ArrayView <float> points,
ArrayView <float> matrices,
ArrayView <int> horizon,
ArrayView <float> test_array,
[SharedMemory(1440)]
ArrayView <int> horizon_shared)
{
var target_line = index.GridIdx.Y;
var target_sample = index.GridIdx.X;
var caster_line = index.GroupIdx.Y;
Debug.Assert(index.GroupIdx.X == 1);
// Copy horizon for a[target_line,target_sample] into shared memory
{
var dim = Group.Dimension.Y;
var len = horizon_shared.Length;
var passes = (len + (dim - 1)) / dim;
var offset = (target_line * TerrainPatch.DefaultSize + target_sample) * len;
for (var pass = 0; pass < passes; pass++)
{
var ptr = pass * dim + caster_line;
if (ptr < len) // divergence
{
horizon_shared[ptr] = horizon[ptr + offset];
}
}
}
Group.Barrier();
// Copy the matrix into registers
var pos = (target_line * TerrainPatch.DefaultSize + target_sample) * 12;
var row0x = matrices[pos++];
var row1x = matrices[pos++];
var row2x = matrices[pos++];
var row3x = matrices[pos++];
var row0y = matrices[pos++];
var row1y = matrices[pos++];
var row2y = matrices[pos++];
var row3y = matrices[pos++];
var row0z = matrices[pos++];
var row1z = matrices[pos++];
var row2z = matrices[pos++];
var row3z = matrices[pos];
for (var caster_sample = 0; caster_sample < TerrainPatch.DefaultSize; caster_sample++)
{
// Fetch the other point in local frame
var points_offset = (caster_line * TerrainPatch.DefaultSize + caster_sample) * 3;
var x_patch = points[points_offset];
var y_patch = points[points_offset + 1];
var z_patch = points[points_offset + 2];
// Transform the point to the local frame
var x = x_patch * row0x + y_patch * row1x + z_patch * row2x + row3x;
var y = x_patch * row0y + y_patch * row1y + z_patch * row2y + row3y;
var z = x_patch * row0z + y_patch * row1z + z_patch * row2z + row3z;
// Adjust for solar array height (this is temporary, and I'm not sure we want this in the final version)
z -= ObserverHeight; // meters
var azimuth = GPUMath.Atan2(y, x) + GPUMath.PI; // [0,2 PI]
var alen = GPUMath.Sqrt(x * x + y * y);
var slope = z / alen;
var slopem = slope > 2f ? 2f : slope;
slopem = slopem < -2f ? -2f : slopem;
slopem = slopem / 4f;
var slopei = (int)(slopem * 1000000);
var horizon_index = (int)(0.5f + 1439 * (azimuth / (2f * GPUMath.PI)));
Atomic.Max(horizon_shared.GetVariableView(horizon_index), slopei);
if (caster_sample == 0 && caster_line == 0 && target_line == 0 && target_sample == 0)
{
test_array[0] = x_patch;
test_array[1] = y_patch;
test_array[2] = z_patch;
test_array[3] = x;
test_array[4] = y;
test_array[5] = z;
test_array[6] = slope;
test_array[7] = slopem;
test_array[8] = slopei;
test_array[9] = row3x;
test_array[10] = row3y;
test_array[11] = row3z;
}
}
Group.Barrier();
{
var dim = Group.Dimension.Y;
var len = horizon_shared.Length;
var passes = (len + (dim - 1)) / dim;
var offset = (target_line * TerrainPatch.DefaultSize + target_sample) * len;
for (var pass = 0; pass < passes; pass++)
{
var ptr = pass * dim + caster_line;
if (ptr < len) // divergence
{
horizon[ptr + offset] = horizon_shared[ptr];
}
}
}
}