private void BezierQuadraticTest(MyVector3 posA, MyVector3 posB, MyVector3 handle)
{
//Store the interpolated values so we later can display them
List <Vector3> interpolatedValues = new List <Vector3>();
//Loop between 0 and 1 in steps, where 1 step is minimum
//So if steps is 5 then the line will be cut in 5 sections
int steps = 10;
float stepSize = 1f / (float)steps;
float t = 0f;
//+1 becuase wa also have to include the first point
for (int i = 0; i < steps + 1; i++)
{
//Debug.Log(t);
MyVector3 interpolatedValue = BezierQuadratic.GetPosition(posA, posB, handle, t);
interpolatedValues.Add(interpolatedValue.ToVector3());
t += stepSize;
}
//Display the curve
DisplayInterpolation.DisplayCurve(interpolatedValues, useRandomColor: true);
//Display the start and end values and the handle points
DisplayInterpolation.DisplayHandle(handle.ToVector3(), posA.ToVector3());
DisplayInterpolation.DisplayHandle(handle.ToVector3(), posB.ToVector3());
//Display other related data
//Get the forwrd dir of the point at t and display it
MyVector3 forwardDir = BezierQuadratic.GetTangent(posA, posB, handle, tSliderValue);
MyVector3 slidePos = BezierQuadratic.GetPosition(posA, posB, handle, tSliderValue);
Gizmos.color = Color.blue;
Gizmos.DrawRay(slidePos.ToVector3(), forwardDir.ToVector3());
Gizmos.color = Color.red;
Gizmos.DrawWireSphere(slidePos.ToVector3(), 0.15f);
}
private void BezierQuadraticTest_EqualSteps(MyVector3 posA, MyVector3 posB, MyVector3 handle)
{
//Create a curve which is the data structure used in the following calculations
BezierQuadratic bezierQuadratic = new BezierQuadratic(posA, posB, handle);
//Step 1. Calculate the length of the entire curve
//This is needed to so we know how long we should walk each step
float lengthNaive = InterpolationHelpMethods.GetLength_Naive(bezierQuadratic, steps: 20, tEnd: 1f);
float lengthExact = InterpolationHelpMethods.GetLength_SimpsonsRule(bezierQuadratic, tStart: 0f, tEnd: 1f);
//Debug.Log("Naive length: " + lengthNaive + " Exact length: " + lengthExact);
//Step 2. Convert the t's to be percentage along the curve
//Save the accurate t at each position on the curve
List <float> accurateTs = new List <float>();
int steps = 5;
//Important not to confuse this with the step size we use to iterate t
//This step size is distance in m
float length = lengthNaive;
float lengthStepSize = length / (float)steps;
float stepSize = 1f / (float)steps;
float t = 0f;
float distanceTravelled = 0f;
for (int i = 0; i < steps + 1; i++)
{
//MyVector3 inaccuratePos = bezierCubic.GetInterpolatedValue(t);
//Calculate t to get to this distance
//Method 1
//float accurateT = InterpolationHelpMethods.Find_t_FromDistance_Iterative(bezierQuadratic, distanceTravelled, length);
//Method 2
float accurateT = InterpolationHelpMethods.Find_t_FromDistance_Lookup(bezierQuadratic, distanceTravelled, accumulatedDistances: null);
accurateTs.Add(accurateT);
//Test that the derivative calculations are working
//float dEst = InterpolationHelpMethods.EstimateDerivative(bezierQuadratic, t);
//float dAct = bezierQuadratic.GetDerivative(t);
//Debug.Log("Estimated derivative: " + dEst + " Actual derivative: " + dAct);
//Debug.Log("Distance " + distanceTravelled);
//Move on to next iteration
distanceTravelled += lengthStepSize;
t += stepSize;
}
//Get the data we want from the curve
//Store the interpolated values so we later can display them
List <Vector3> actualPositions = new List <Vector3>();
//
List <Vector3> tangents = new List <Vector3>();
//Orientation, which includes the tangent and position
List <InterpolationTransform> orientations = new List <InterpolationTransform>();
for (int i = 0; i < accurateTs.Count; i++)
{
float accurateT = accurateTs[i];
MyVector3 actualPos = bezierQuadratic.GetPosition(accurateT);
actualPositions.Add(actualPos.ToVector3());
MyVector3 tangent = bezierQuadratic.GetTangent(accurateT);
tangents.Add(tangent.ToVector3());
//Orientation, which includes both position and tangent
InterpolationTransform orientation = InterpolationTransform.GetTransform_UpRef(bezierQuadratic, accurateT, MyVector3.Up);
orientations.Add(orientation);
}
//Display
//Unity doesnt have a built-in method to display an accurate Qudratic bezier, so we have to create our own
//DisplayInterpolation.DisplayBezierQuadratic(bezierQuadratic, Color.black);
DisplayInterpolation.DisplayCurve(bezierQuadratic, Color.black);
//DisplayInterpolation.DisplayCurve(actualPositions, useRandomColor: true);
DisplayInterpolation.DisplayCurve(actualPositions, Color.gray);
//Display the start and end values and the handle points
DisplayInterpolation.DisplayHandle(handle.ToVector3(), posA.ToVector3());
DisplayInterpolation.DisplayHandle(handle.ToVector3(), posB.ToVector3());
//Stuff on the curve
//DisplayInterpolation.DisplayDirections(actualPositions, tangents, 1f, Color.red);
DisplayInterpolation.DisplayOrientations(orientations, 1f);
}
