// CCD via the local separating axis method. This seeks progression
// by computing the largest time at which separation is maintained.
/// <summary>
/// Compute the upper bound on time before two shapes penetrate. Time is represented as
/// a fraction between [0,tMax]. This uses a swept separating axis and may miss some intermediate,
/// non-tunneling collision. If you change the time interval, you should call this function
/// again.
/// Note: use b2Distance to compute the contact point and normal at the time of impact.
/// </summary>
/// <param name="output"></param>
/// <param name="input"></param>
public static void CalculateTimeOfImpact(out TOIOutput output, ref TOIInput input)
{
++b2_toiCalls;
output = new TOIOutput();
output.State = TOIOutputState.Unknown;
output.t = input.tMax;
Sweep sweepA = input.sweepA;
Sweep sweepB = input.sweepB;
float tMax = input.tMax;
float target = Settings.b2_linearSlop;
float tolerance = 0.25f * Settings.b2_linearSlop;
Debug.Assert(target > tolerance);
float t1 = 0.0f;
const int k_maxIterations = 1000;
int iter = 0;
// Prepare input for distance query.
SimplexCache cache;
DistanceInput distanceInput;
distanceInput.proxyA = input.proxyA;
distanceInput.proxyB = input.proxyB;
distanceInput.useRadii = false;
// The outer loop progressively attempts to compute new separating axes.
// This loop terminates when an axis is repeated (no progress is made).
for (; ;)
{
Transform xfA, xfB;
sweepA.GetTransform(out xfA, t1);
sweepB.GetTransform(out xfB, t1);
// Get the distance between shapes. We can also use the results
// to get a separating axis.
distanceInput.transformA = xfA;
distanceInput.transformB = xfB;
DistanceOutput distanceOutput;
Distance.ComputeDistance(out distanceOutput, out cache, ref distanceInput);
// If the shapes are overlapped, we give up on continuous collision.
if (distanceOutput.distance <= 0.0f)
{
// Failure!
output.State = TOIOutputState.Overlapped;
output.t = 0.0f;
break;
}
SeparationFunction fcn = new SeparationFunction(ref cache, ref input.proxyA, ref sweepA, ref input.proxyB, ref sweepB);
// Compute the TOI on the separating axis. We do this by successively
// resolving the deepest point. This loop is bounded by the number of vertices.
bool done = false;
float t2 = tMax;
for (; ;)
{
// Find the deepest point at t2. Store the witness point indices.
int indexA, indexB;
float s2 = fcn.FindMinSeparation(out indexA, out indexB, t2);
// Is the final configuration separated?
if (s2 > target + tolerance)
{
// Victory!
output.State = TOIOutputState.Seperated;
output.t = tMax;
done = true;
break;
}
// Is the final configuration touching?
if (s2 > target - tolerance)
{
// Victory!
output.State = TOIOutputState.Touching;
output.t = t2;
done = true;
break;
}
// Compute the initial separation of the witness points.
float s1 = fcn.Evaluate(indexA, indexB, t1);
// Check for initial overlap. This might happen if the root finder
// runs out of iterations.
if (s1 < target - tolerance)
{
output.State = TOIOutputState.Failed;
output.t = t1;
done = true;
break;
}
// Check for touching
if (s1 <= target + tolerance)
{
// Victory! t1 should hold the TOI (could be 0.0).
output.State = TOIOutputState.Touching;
output.t = t1;
done = true;
break;
}
// Compute 1D root of: f(x) - target = 0
int rootIterCount = 0;
float a1 = t1, a2 = t2;
for (; ;)
{
// Use a mix of the secant rule and bisection.
float t;
if ((rootIterCount & 1) != 0)
{
// Secant rule to improve convergence.
t = a1 + (target - s1) * (a2 - a1) / (s2 - s1);
}
else
{
// Bisection to guarantee progress.
t = 0.5f * (a1 + a2);
}
float s = fcn.Evaluate(indexA, indexB, t);
if (Math.Abs(s - target) < tolerance)
{
// t2 holds a tentative value for t1
t2 = t;
break;
}
// Ensure we continue to bracket the root.
if (s > target)
{
a1 = t;
s1 = s;
}
else
{
a2 = t;
s2 = s;
}
++rootIterCount;
++b2_toiRootIters;
if (rootIterCount == 50)
{
break;
}
}
b2_toiMaxRootIters = Math.Max(b2_toiMaxRootIters, rootIterCount);
}
++iter;
++b2_toiIters;
if (done)
{
break;
}
if (iter == k_maxIterations)
{
// Root finder got stuck. Semi-victory.
output.State = TOIOutputState.Failed;
output.t = t1;
break;
}
}
b2_toiMaxIters = Math.Max(b2_toiMaxIters, iter);
}
// CCD via the local separating axis method. This seeks progression
// by computing the largest time at which separation is maintained.
/// <summary>
/// Compute the upper bound on time before two shapes penetrate. Time is represented as
/// a fraction between [0,tMax]. This uses a swept separating axis and may miss some intermediate,
/// non-tunneling collision. If you change the time interval, you should call this function
/// again.
/// Note: use b2Distance to compute the contact point and normal at the time of impact.
/// </summary>
/// <param name="output"></param>
/// <param name="input"></param>
public static void CalculateTimeOfImpact(out TOIOutput output, ref TOIInput input)
{
++b2_toiCalls;
output = new TOIOutput();
output.State = TOIOutputState.Unknown;
output.t = input.tMax;
Sweep sweepA = input.sweepA;
Sweep sweepB = input.sweepB;
float tMax = input.tMax;
float target = Settings.b2_linearSlop;
float tolerance = 0.25f * Settings.b2_linearSlop;
Debug.Assert(target > tolerance);
float t1 = 0.0f;
const int k_maxIterations = 1000;
int iter = 0;
// Prepare input for distance query.
SimplexCache cache;
DistanceInput distanceInput;
distanceInput.proxyA = input.proxyA;
distanceInput.proxyB = input.proxyB;
distanceInput.useRadii = false;
// The outer loop progressively attempts to compute new separating axes.
// This loop terminates when an axis is repeated (no progress is made).
for (; ; )
{
Transform xfA, xfB;
sweepA.GetTransform(out xfA, t1);
sweepB.GetTransform(out xfB, t1);
// Get the distance between shapes. We can also use the results
// to get a separating axis.
distanceInput.transformA = xfA;
distanceInput.transformB = xfB;
DistanceOutput distanceOutput;
Distance.ComputeDistance(out distanceOutput, out cache, ref distanceInput);
// If the shapes are overlapped, we give up on continuous collision.
if (distanceOutput.distance <= 0.0f)
{
// Failure!
output.State = TOIOutputState.Overlapped;
output.t = 0.0f;
break;
}
SeparationFunction fcn = new SeparationFunction(ref cache, ref input.proxyA, ref sweepA, ref input.proxyB, ref sweepB);
// Compute the TOI on the separating axis. We do this by successively
// resolving the deepest point. This loop is bounded by the number of vertices.
bool done = false;
float t2 = tMax;
for (; ; )
{
// Find the deepest point at t2. Store the witness point indices.
int indexA, indexB;
float s2 = fcn.FindMinSeparation(out indexA, out indexB, t2);
// Is the final configuration separated?
if (s2 > target + tolerance)
{
// Victory!
output.State = TOIOutputState.Seperated;
output.t = tMax;
done = true;
break;
}
// Is the final configuration touching?
if (s2 > target - tolerance)
{
// Victory!
output.State = TOIOutputState.Touching;
output.t = t2;
done = true;
break;
}
// Compute the initial separation of the witness points.
float s1 = fcn.Evaluate(indexA, indexB, t1);
// Check for initial overlap. This might happen if the root finder
// runs out of iterations.
if (s1 < target - tolerance)
{
output.State = TOIOutputState.Failed;
output.t = t1;
done = true;
break;
}
// Check for touching
if (s1 <= target + tolerance)
{
// Victory! t1 should hold the TOI (could be 0.0).
output.State = TOIOutputState.Touching;
output.t = t1;
done = true;
break;
}
// Compute 1D root of: f(x) - target = 0
int rootIterCount = 0;
float a1 = t1, a2 = t2;
for (; ; )
{
// Use a mix of the secant rule and bisection.
float t;
if ((rootIterCount & 1) != 0)
{
// Secant rule to improve convergence.
t = a1 + (target - s1) * (a2 - a1) / (s2 - s1);
}
else
{
// Bisection to guarantee progress.
t = 0.5f * (a1 + a2);
}
float s = fcn.Evaluate(indexA, indexB, t);
if (Math.Abs(s - target) < tolerance)
{
// t2 holds a tentative value for t1
t2 = t;
break;
}
// Ensure we continue to bracket the root.
if (s > target)
{
a1 = t;
s1 = s;
}
else
{
a2 = t;
s2 = s;
}
++rootIterCount;
++b2_toiRootIters;
if (rootIterCount == 50)
{
break;
}
}
b2_toiMaxRootIters = Math.Max(b2_toiMaxRootIters, rootIterCount);
}
++iter;
++b2_toiIters;
if (done)
{
break;
}
if (iter == k_maxIterations)
{
// Root finder got stuck. Semi-victory.
output.State = TOIOutputState.Failed;
output.t = t1;
break;
}
}
b2_toiMaxIters = Math.Max(b2_toiMaxIters, iter);
}