public float GetNormalisedValue(int index, float min = 0, float max = 1)
{
if (DataType == IATKDataType.Translate)
{
return(Data[index]);
}
else
{
float _min = (Min == Max) ? Min - 1 : Min;
return(UtilMath.NormaliseValue(Data[index], _min, Max, min, max));
}
}
private float CalculateFloatFromAngle()
{
// Get angle
float angle = Mathf.Abs(Vector3.SignedAngle(Vector3.up, transform.up, transform.forward));
// Clamp between -90 and 0
angle = Mathf.Clamp(angle, 0, 90);
// Normalise
float normalised = UtilMath.NormaliseValue(angle, 0, 90, 0, 1);
return(normalised);
}
private static void AddCustomObservables()
{
// LINEAR DISTANCE EXAMPLE: Create an observable that calculates distance between two objects, but filtered between 0 and 1
var distanceObservable = GetObservable("LinearDistanceVisPosition")
.CombineLatest(GetObservable("LinearDistanceHandlePosition"), (v1, v2) => Vector3.Distance((Vector3)v1, (Vector3)v2))
.Where(x => 0 <= x && x <= 1)
.Select(x => (object)x)
.StartWith(0)
.DistinctUntilChanged();
SaveObservable("LinearDistance", distanceObservable);
// TILT EXAMPLE: Create an observable that gets the rotation of a gameobject, but normalises it between 0 and 1
IObservable <object> rotationObservable1 = GetObservable("TiltVisForward")
.CombineLatest(GetObservable("TiltVisUp"), (f, u) =>
{
Vector3 forward = (Vector3)f;
Vector3 up = (Vector3)u;
// Get angle
float angle = Mathf.Abs(Vector3.SignedAngle(Vector3.up, up, forward));
// Clamp between 0 and 110
angle = Mathf.Clamp(angle, 0, 110);
// Normalise
return(UtilMath.NormaliseValue(angle, 0, 110, 0, 1));
})
.Select(x => (object)x)
.StartWith(0)
.DistinctUntilChanged();
SaveObservable("TiltTween", rotationObservable1);
// ORTHOGONAL FLATTENING EXAMPLE #1: Create an observable that calculates the dot product of two directions
IObservable <object> dotProductObservable = GetObservable("CameraForward")
.CombineLatest(GetObservable("OrthogonalVisForward"), (c, v) =>
{
Vector3 camera = (Vector3)c;
Vector3 vis = (Vector3)v;
return(Mathf.Abs(Vector3.Dot(camera.normalized, vis.normalized)));
})
.Select(x => (object)x)
.StartWith(1)
.DistinctUntilChanged();
SaveObservable("OrthogonalDotProduct", dotProductObservable);
// ORTHOGONAL FLATTENING EXAMPLE #2: Create an observable that calculates the distance between the visualisation and camera
IObservable <object> cameraDistanceObservable = GetObservable("CameraPosition")
.CombineLatest(GetObservable("OrthogonalVisPosition"), (c, v) =>
{
Vector3 camera = (Vector3)c;
Vector3 vis = (Vector3)v;
return(Vector3.Distance(camera, vis));
})
.Select(x => (object)x)
.StartWith(1)
.DistinctUntilChanged();
SaveObservable("OrthogonalDistance", cameraDistanceObservable);
// COMPOSABILITY EXAMPLE: Create an observable that returns the name of the gameobject that collides
IObservable <object> xTriggerObservable = GetObservable("XTriggerEnter")
.Select(x => ((Collider)x).gameObject.name)
.Merge(GetObservable("XTriggerExit").Select(_ => ""))
.StartWith("")
.DistinctUntilChanged();
SaveObservable("XTriggerDimension", xTriggerObservable);
IObservable <object> yTriggerObservable = GetObservable("YTriggerEnter")
.Select(x => ((Collider)x).gameObject.name)
.Merge(GetObservable("YTriggerExit").Select(_ => ""))
.StartWith("")
.DistinctUntilChanged();
SaveObservable("YTriggerDimension", yTriggerObservable);
IObservable <object> zTriggerObservable = GetObservable("ZTriggerEnter")
.Select(x => ((Collider)x).gameObject.name)
.Merge(GetObservable("ZTriggerExit").Select(_ => ""))
.StartWith("")
.DistinctUntilChanged();
SaveObservable("ZTriggerDimension", zTriggerObservable);
// BILLBOARDING EXAMPLE: Create an observable that returns the distance between the camera and vis
IObservable <object> billboardingObservable = GetObservable("BillboardingVisPosition")
.CombineLatest(GetObservable("CameraPosition"), (v1, v2) => Vector3.Distance((Vector3)v1, (Vector3)v2))
.Select(x => (object)x)
.StartWith(0)
.DistinctUntilChanged();
SaveObservable("BillboardDistance", billboardingObservable);
// // VELOCITY EXAMPLE: Create an observable that calculates the change in position over time
// IObservable<object> velocityObservable = GetObservable("VelocityVisPosition")
// .Buffer(5)
// .Pairwise()
// .CombineLatest(GetObservable("DeltaTime").Buffer(5), (pair, time) =>
// {
// float acc = 0;
// for (int i = 0; i < 5; i++)
// {
// acc += Vector3.Distance((Vector3)pair.Previous[i], (Vector3)pair.Current[i]);
// }
// return acc / 5f;
// })
// .Select(x => (object)x)
// .DistinctUntilChanged();
// SaveObservable("Velocity", velocityObservable);
// // EXAMPLE 5: Create an observable that returns the number of times the user clicked the left mouse button in a row
// var clickObservableL = Observable.EveryUpdate()
// .Where(_ => Input.GetMouseButtonDown(0));
// IObservable<object> multiClickObservableL = clickObservableL
// .Buffer(clickObservableL.Throttle(TimeSpan.FromMilliseconds(250)))
// .Select(xs => (object)xs.Count)
// .StartWith(10);
// SaveObservable("multiclickL", multiClickObservableL);
// // EXAMPLE 6: Create an observable that returns the number of times the user clicked the RIGHT mouse button in a row
// var clickObservableR = Observable.EveryUpdate()
// .Where(_ => Input.GetMouseButtonDown(1));
// IObservable<object> multiClickObservableR = clickObservableR
// .Buffer(clickObservableR.Throttle(TimeSpan.FromMilliseconds(250)))
// .Select(xs => (object)xs.Count)
// .StartWith(11);
// SaveObservable("multiclickR", multiClickObservableR);
// // EXAMPLE 6: Create an observable that returns the speed of mouse movement
// IObservable<object> mouseMoveObservable = Observable.EveryUpdate()
// .Select(_ => Input.mousePosition)
// .Buffer(2)
// .CombineLatest(GetObservable("deltatime"), (mouseDelta, time) => Vector3.Distance(mouseDelta[0], mouseDelta[1]) / (float)time / 500f)
// .Select(x => (object)x)
// .StartWith(0)
// .DistinctUntilChanged();
// SaveObservable("mousemovement", mouseMoveObservable);
}
private static Interpreter SetInterpreterFunctions()
{
Func <DataAttribute, DataAttribute, double, DataAttribute> Lerp = (da1, da2, t) => {
float[] floatArray = new float[da1.Length];
float time = (float)t;
for (int i = 0; i < floatArray.Length; i++)
{
floatArray[i] = Mathf.Lerp(da1.Data[i], da2.Data[i], time);
}
return(new DataAttribute(string.Format("Lerp({0}, {1}, {2})", da1.Name, da2.Name, t), IATKDataType.Numeric, floatArray));
};
interpreter.SetFunction("Lerp", Lerp);
Func <DataAttribute, DataAttribute, double, string, DataAttribute> Lerp_Ease = (da1, da2, t, ease) => {
float[] floatArray = new float[da1.Length];
float time = (float)t;
for (int i = 0; i < floatArray.Length; i++)
{
var easing = (EasingFunction.Ease)Enum.Parse(typeof(EasingFunction.Ease), ease);
floatArray[i] = EasingFunction.GetEasingFunction(easing)(da1.Data[i], da2.Data[i], time);// Mathf.Lerp(da1.Data[i], da2.Data[i], (float)time);
}
return(new DataAttribute(string.Format("Lerp({0}, {1}, {2})", da1.Name, da2.Name, t), IATKDataType.Numeric, floatArray));
};
interpreter.SetFunction("Lerp", Lerp_Ease);
Func <DataAttribute, double, double, DataAttribute> Lerp_1 = (da, d, t) => {
float[] floatArray = new float[da.Length];
float f = (float)d;
float time = (float)t;
for (int i = 0; i < floatArray.Length; i++)
{
floatArray[i] = Mathf.Lerp(da.Data[i], f, time);
}
return(new DataAttribute(string.Format("Lerp({0}, {1}, {2})", da.Name, d, t), IATKDataType.Numeric, floatArray));
};
interpreter.SetFunction("Lerp", Lerp_1);
Func <double, DataAttribute, double, DataAttribute> Lerp_2 = (d, da, t) => {
float[] floatArray = new float[da.Length];
float f = (float)d;
float time = (float)t;
for (int i = 0; i < floatArray.Length; i++)
{
floatArray[i] = Mathf.Lerp(f, da.Data[i], time);
}
return(new DataAttribute(string.Format("Lerp({0}, {1}, {2})", d, da.Name, t), IATKDataType.Numeric, floatArray));
};
interpreter.SetFunction("Lerp", Lerp_2);
Func <double, double, double, double> Lerp_3 = (d1, d2, t) => {
return((double)Mathf.Lerp((float)d1, (float)d2, (float)t));
};
interpreter.SetFunction("Lerp", Lerp_3);
Func <Vector3, Vector3, double, Vector3> Lerp_4 = (v1, v2, t) => Vector3.Lerp(v1, v2, (float)t);
interpreter.SetFunction("Lerp", Lerp_4);
Func <DataAttribute, DataAttribute, DataAttribute> DistributeOverplotted = (da1, da2) => {
float[] floatArray = new float[da1.Length];
Dictionary <Vector2, List <int> > visitedPoints = new Dictionary <Vector2, List <int> >();
// Determine number of overlapping points
for (int i = 0; i < da1.Length; i++)
{
var pos = new Vector2(da1.Data[i], da2.Data[i]);
if (visitedPoints.TryGetValue(pos, out List <int> points))
{
points.Add(i);
}
else
{
visitedPoints[pos] = new List <int>(i);
}
}
foreach (var list in visitedPoints.Values)
{
if (list.Count > 1)
{
for (int i = 1; i < list.Count; i++)
{
floatArray[list[i]] = UtilMath.NormaliseValue(i, 0, list.Count, 0, 1);
}
}
}
return(new DataAttribute(string.Format("DistributeOverplotted({0}, {1})", da1.Name, da2.Name), IATKDataType.Numeric, floatArray));
};
interpreter.SetFunction("DistributeOverplotted", DistributeOverplotted);
Func <DataAttribute, DataAttribute> Translate = (da) => {
da.OverrideType(IATKDataType.Translate);
da.SetName(string.Format("Translate({0})", da.Name));
return(da);
};
interpreter.SetFunction("Translate", Translate);
Func <DataAttribute, DataAttribute> Normalise_1 = (da) => {
float[] floatArray = new float[da.Length];
for (int i = 0; i < da.Length; i++)
{
floatArray[i] = da.GetNormalisedValue(i);
}
return(new DataAttribute(string.Format("Normalise({0})", da.Name), da.DataType, floatArray));
};
interpreter.SetFunction("Normalise", Normalise_1);
Func <double, double, double, double, double, double> Normalise_2 = (value, i0, i1, j0, j1) =>
{
double L = (j0 - j1) / (i0 - i1);
return(j0 - (L * i0) + (L * value));
};
interpreter.SetFunction("Normalise", Normalise_2);
Func <double, double, double, double> Clamp = (value, min, max) =>
{
if (value < min)
{
return(min);
}
else if (max < value)
{
return(max);
}
else
{
return(value);
}
};
interpreter.SetFunction("Clamp", Clamp);
Func <string, DataAttribute> GetData = (name) =>
{
if (currentVisualisationReference.DataSource[name] != null)
{
return(currentVisualisationReference.DataSource[name]);
}
else
{
return(new DataAttribute("", IATKDataType.Translate, new float[currentVisualisationReference.DataSource.DataCount]));
}
};
interpreter.SetFunction("GetData", GetData);
Func <double, double, double, Vector3> Vector_3 = (x, y, z) =>
{
return(new Vector3((float)x, (float)y, (float)z));
};
interpreter.SetFunction("Vector3", Vector_3);
Func <double, double, double, double, Quaternion> Quat = (x, y, z, w) =>
{
return(new Quaternion((float)x, (float)y, (float)z, (float)w));
};
interpreter.SetFunction("Quaternion", Quat);
Func <Vector3, Quaternion> ToQuat = (v) =>
{
return(Quaternion.Euler(v));
};
interpreter.SetFunction("ToQuaternion", ToQuat);
Func <Vector3, Vector3, Quaternion> LookAt = (source, target) =>
{
Vector3 lookPos = target - source;
return(Quaternion.LookRotation(lookPos));
};
interpreter.SetFunction("LookAt", LookAt);
Func <DataAttribute, DataAttribute, DataAttribute, DataAttribute, int, int, DataAttribute> DistributeShortestPath = (nodeDa, fromDa, toDa, weightDa, startIdx, endIdx) => {
int nodeCount = nodeDa.Length;
int edgeCount = fromDa.Length;
float[] floatArray = new float[nodeCount];
// First we have to create our matrix of shortest paths
float[,] distanceMatrix = new float[nodeCount, nodeCount];
for (int i = 0; i < nodeCount; i++)
{
for (int j = 0; j < nodeCount; j++)
{
if (i == j)
{
distanceMatrix[i, j] = 0;
}
else
{
distanceMatrix[i, j] = Mathf.Infinity;
}
}
}
for (int i = 0; i < edgeCount; i++)
{
string fromString = fromDa.ReverseLevels[(int)fromDa.Data[i]];
int from = nodeDa.Levels[fromString];
string toString = toDa.ReverseLevels[(int)toDa.Data[i]];
int to = nodeDa.Levels[toString];
distanceMatrix[from, to] = weightDa.Data[i];
}
for (int k = 0; k < nodeCount; k++)
{
for (int i = 0; i < nodeCount; i++)
{
for (int j = 0; j < nodeCount; j++)
{
if (distanceMatrix[i, j] > distanceMatrix[i, k] + distanceMatrix[k, j])
{
distanceMatrix[i, j] = distanceMatrix[i, k] + distanceMatrix[k, j];
}
}
}
}
// Add the points that make up the shortest path (Dijkstra's)
bool[] visited = new bool[nodeCount];
float[] distances = new float[nodeCount];
int[] previous = new int[nodeCount];
int count = 1;
for (int i = 0; i < nodeCount; i++)
{
visited[i] = false;
distances[i] = Mathf.Infinity;
previous[i] = -1;
}
distances[startIdx] = 0;
while (!visited.All(x => x) && count < nodeCount - 1)
{
// Get minimum index
int u = -1;
float min = Mathf.Infinity;
for (int i = 0; i < nodeCount; i++)
{
float dist = distances[i];
if (!visited[i] && dist < min)
{
u = i;
min = dist;
}
}
visited[u] = true;
// Stop when we find the second index
if (u == endIdx)
{
break;
}
// Iterate through neighbours
List <int> neighbours = new List <int>();
for (int i = 0; i < nodeCount; i++)
{
if (distanceMatrix[0, i] > 0 && distanceMatrix[0, i] != Mathf.Infinity)
{
neighbours.Add(i);
}
}
foreach (int v in neighbours)
{
float alt = distances[u] + distanceMatrix[u, v];
if (alt < distances[v])
{
distances[v] = alt;
previous[v] = u;
}
}
count++;
}
List <int> path = new List <int>();
path.Add(startIdx);
int w = startIdx;
if (previous[w] != -1 || startIdx == endIdx)
{
while (previous[w] != -1)
{
path.Add(w);
w = previous[w];
}
}
// Determine the longest "shortest path" between either the source or destination nodes.
// For a given target node, we pick the shorter path between either the source or destination
float max = 0;
for (int i = 0; i < nodeCount; i++)
{
if (!path.Contains(i))
{
float value = Mathf.Min(distanceMatrix[startIdx, i], distanceMatrix[endIdx, i]);
if (value != Mathf.Infinity && max < value)
{
max = value;
}
}
}
for (int i = 0; i < nodeCount; i++)
{
if (i != startIdx || i != endIdx)
{
// Use the smaller of shortest paths between the source and destination
float weight = Mathf.Min(distanceMatrix[startIdx, i], distanceMatrix[endIdx, i]);
if (weight == Mathf.Infinity)
{
floatArray[i] = 0;
}
else
{
floatArray[i] = UtilMath.NormaliseValue(weight, 0, max, 1, 0);
}
}
}
return(new DataAttribute(string.Format("DistributeShortestPath({0}, {1}, {2}, {3}, {4}, {5})", nodeDa.Name, fromDa.Name, toDa.Name, weightDa.Name, startIdx, endIdx), IATKDataType.Translate, floatArray));
};
interpreter.SetFunction("DistributeShortestPath", DistributeShortestPath);
return(interpreter);
}
public int[] GenerateIndices()
{
dataAttributes.TryGetValue(IATKProperty.X, out DataAttribute xAttribute);
dataAttributes.TryGetValue(IATKProperty.Y, out DataAttribute yAttribute);
// Create our 2D list of points from x and y attributes
int numPoints = xAttribute.Length;
Vector2[] allPoints = new Vector2[numPoints];
for (int i = 0; i < numPoints; i++)
{
allPoints[i].x = xAttribute.Data[i];
allPoints[i].y = yAttribute.Data[i];
}
List <int> triangles = new List <int>();
// Get the attribute that we're grouping by
DataAttribute grouping = ExpressoParser.ParseExpression(VisualisationReference, VisualisationReference.Group);
DataAttribute piecing = ExpressoParser.ParseExpression(VisualisationReference, VisualisationReference.Piece);
int dataIdx = 0;
int vertexIdx = 0;
foreach (int group in grouping.ReverseLevels.Keys)
{
foreach (int piece in piecing.ReverseLevels.Keys)
{
// Create a smaller list of points just for this group
List <Vector2> pointsList = new List <Vector2>();
for (int i = dataIdx; i < numPoints; i++)
{
if (grouping.Data[i] != group || piecing.Data[i] != piece)
{
dataIdx = i;
break;
}
pointsList.Add(allPoints[i]);
}
if (pointsList.Count == 0)
{
continue;
}
Vector2[] points = pointsList.ToArray();
Triangulator triangulator = new Triangulator(points);
int[] tris = triangulator.Triangulate();
bool isClockwise = UtilMath.IsPointListClockwise(points);
// Front vertices
for (int i = 0; i < tris.Length; i += 3)
{
triangles.Add(vertexIdx + tris[i]);
triangles.Add(vertexIdx + tris[i + 1]);
triangles.Add(vertexIdx + tris[i + 2]);
}
// Back vertices
for (int i = 0; i < tris.Length; i += 3)
{
triangles.Add(numPoints + vertexIdx + tris[i + 2]);
triangles.Add(numPoints + vertexIdx + tris[i + 1]);
triangles.Add(numPoints + vertexIdx + tris[i]);
}
for (int i = 0; i < points.Length; i++)
{
int n = (i + 1) % points.Length;
triangles.Add(vertexIdx + n);
triangles.Add(vertexIdx + i + numPoints);
triangles.Add(vertexIdx + i);
triangles.Add(vertexIdx + n);
triangles.Add(vertexIdx + i + numPoints);
triangles.Add(vertexIdx + n + numPoints);
}
vertexIdx += pointsList.Count;
}
}
return(triangles.ToArray());
}
