private float GetCurvePosition(float position)
{
CurveKey curveKey1 = this.keys[0];
for (int index = 1; index < this.keys.Count; ++index)
{
CurveKey curveKey2 = this.Keys[index];
if ((double)curveKey2.Position >= (double)position)
{
if (curveKey1.Continuity == CurveContinuity.Step)
{
if ((double)position >= 1.0)
{
return(curveKey2.Value);
}
else
{
return(curveKey1.Value);
}
}
else
{
float num1 = (float)(((double)position - (double)curveKey1.Position) / ((double)curveKey2.Position - (double)curveKey1.Position));
float num2 = num1 * num1;
float num3 = num2 * num1;
return((float)((2.0 * (double)num3 - 3.0 * (double)num2 + 1.0) * (double)curveKey1.Value + ((double)num3 - 2.0 * (double)num2 + (double)num1) * (double)curveKey1.TangentOut + (3.0 * (double)num2 - 2.0 * (double)num3) * (double)curveKey2.Value + ((double)num3 - (double)num2) * (double)curveKey2.TangentIn));
}
}
else
{
curveKey1 = curveKey2;
}
}
return(0.0f);
}
private float GetCurvePosition(float position)
{
//only for position in curve
CurveKey prev = this.keys[0];
CurveKey next;
for (int i = 1; i < this.keys.Count; i++)
{
next = this.Keys[i];
if (next.Position >= position)
{
if (prev.Continuity == CurveContinuity.Step)
{
if (position >= 1f)
{
return(next.Value);
}
return(prev.Value);
}
float t = (position - prev.Position) / (next.Position - prev.Position);//to have t in [0,1]
float ts = t * t;
float tss = ts * t;
//After a lot of search on internet I have found all about spline function
// and bezier (phi'sss ancien) but finaly use hermite curve
//http://en.wikipedia.org/wiki/Cubic_Hermite_spline
//P(t) = (2*t^3 - 3t^2 + 1)*P0 + (t^3 - 2t^2 + t)m0 + (-2t^3 + 3t^2)P1 + (t^3-t^2)m1
//with P0.value = prev.value , m0 = prev.tangentOut, P1= next.value, m1 = next.TangentIn
return((2 * tss - 3 * ts + 1f) * prev.Value + (tss - 2 * ts + t) * prev.TangentOut + (3 * ts - 2 * tss) * next.Value + (tss - ts) * next.TangentIn);
}
prev = next;
}
return(0f);
}
public float Evaluate(float position)
{
CurveKey curveKey1 = this.keys[0];
CurveKey curveKey2 = this.keys[this.keys.Count - 1];
if ((double)position < (double)curveKey1.Position)
{
switch (this.PreLoop)
{
case CurveLoopType.Constant:
return(curveKey1.Value);
case CurveLoopType.Cycle:
int numberOfCycle1 = this.GetNumberOfCycle(position);
return(this.GetCurvePosition(position - (float)numberOfCycle1 * (curveKey2.Position - curveKey1.Position)));
case CurveLoopType.CycleOffset:
int numberOfCycle2 = this.GetNumberOfCycle(position);
return(this.GetCurvePosition(position - (float)numberOfCycle2 * (curveKey2.Position - curveKey1.Position)) + (float)numberOfCycle2 * (curveKey2.Value - curveKey1.Value));
case CurveLoopType.Oscillate:
int numberOfCycle3 = this.GetNumberOfCycle(position);
return(this.GetCurvePosition(0.0 != (double)numberOfCycle3 % 2.0 ? (float)((double)curveKey2.Position - (double)position + (double)curveKey1.Position + (double)numberOfCycle3 * ((double)curveKey2.Position - (double)curveKey1.Position)) : position - (float)numberOfCycle3 * (curveKey2.Position - curveKey1.Position)));
case CurveLoopType.Linear:
return(curveKey1.Value - curveKey1.TangentIn * (curveKey1.Position - position));
}
}
else if ((double)position > (double)curveKey2.Position)
{
switch (this.PostLoop)
{
case CurveLoopType.Constant:
return(curveKey2.Value);
case CurveLoopType.Cycle:
int numberOfCycle4 = this.GetNumberOfCycle(position);
return(this.GetCurvePosition(position - (float)numberOfCycle4 * (curveKey2.Position - curveKey1.Position)));
case CurveLoopType.CycleOffset:
int numberOfCycle5 = this.GetNumberOfCycle(position);
return(this.GetCurvePosition(position - (float)numberOfCycle5 * (curveKey2.Position - curveKey1.Position)) + (float)numberOfCycle5 * (curveKey2.Value - curveKey1.Value));
case CurveLoopType.Oscillate:
int numberOfCycle6 = this.GetNumberOfCycle(position);
float num = position - (float)numberOfCycle6 * (curveKey2.Position - curveKey1.Position);
return(this.GetCurvePosition(0.0 != (double)numberOfCycle6 % 2.0 ? (float)((double)curveKey2.Position - (double)position + (double)curveKey1.Position + (double)numberOfCycle6 * ((double)curveKey2.Position - (double)curveKey1.Position)) : position - (float)numberOfCycle6 * (curveKey2.Position - curveKey1.Position)));
case CurveLoopType.Linear:
return(curveKey2.Value + curveKey1.TangentOut * (position - curveKey2.Position));
}
}
return(this.GetCurvePosition(position));
}
private float GetCurvePosition(float position)
{
// Only for position in curve.
CurveKey prev = Keys[0];
CurveKey next;
for (int i = 1; i < Keys.Count; i += 1)
{
next = Keys[i];
if (next.Position >= position)
{
if (prev.Continuity == CurveContinuity.Step)
{
if (position >= 1f)
{
return(next.Value);
}
return(prev.Value);
}
// To have t in [0,1]
float t = (
(position - prev.Position) /
(next.Position - prev.Position)
);
float ts = t * t;
float tss = ts * t;
/* After a lot of search on internet I have found all about
* spline function and bezier (phi'sss ancien) but finally
* used hermite curve:
* http://en.wikipedia.org/wiki/Cubic_Hermite_spline
* P(t) = (2*t^3 - 3t^2 + 1)*P0 + (t^3 - 2t^2 + t)m0 +
* (-2t^3 + 3t^2)P1 + (t^3-t^2)m1
* with P0.value = prev.value , m0 = prev.tangentOut,
* P1= next.value, m1 = next.TangentIn.
*/
return(
(2 * tss - 3 * ts + 1f) * prev.Value +
(tss - 2 * ts + t) * prev.TangentOut +
(3 * ts - 2 * tss) * next.Value +
(tss - ts) * next.TangentIn
);
}
prev = next;
}
return(0f);
}
private FP GetCurvePosition(FP position)
{
CurveKey curveKey = this.keys[0];
FP result;
for (int i = 1; i < this.keys.Count; i++)
{
CurveKey curveKey2 = this.Keys[i];
bool flag = curveKey2.Position >= position;
if (flag)
{
bool flag2 = curveKey.Continuity == CurveContinuity.Step;
if (flag2)
{
bool flag3 = position >= 1f;
if (flag3)
{
result = curveKey2.Value;
}
else
{
result = curveKey.Value;
}
}
else
{
FP fP = (position - curveKey.Position) / (curveKey2.Position - curveKey.Position);
FP fP2 = fP * fP;
FP fP3 = fP2 * fP;
result = (2 * fP3 - 3 * fP2 + 1f) * curveKey.Value + (fP3 - 2 * fP2 + fP) * curveKey.TangentOut + (3 * fP2 - 2 * fP3) * curveKey2.Value + (fP3 - fP2) * curveKey2.TangentIn;
}
return(result);
}
curveKey = curveKey2;
}
result = 0f;
return(result);
}
public float Evaluate(float position)
{
CurveKey first = keys[0];
CurveKey last = keys[keys.Count - 1];
if (position < first.Position)
{
switch (this.PreLoop)
{
case CurveLoopType.Constant:
//constant
return(first.Value);
case CurveLoopType.Linear:
// linear y = a*x +b with a tangeant of last point
return(first.Value - first.TangentIn * (first.Position - position));
case CurveLoopType.Cycle:
//start -> end / start -> end
int cycle = GetNumberOfCycle(position);
float virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos));
case CurveLoopType.CycleOffset:
//make the curve continue (with no step) so must up the curve each cycle of delta(value)
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos) + cycle * (last.Value - first.Value));
case CurveLoopType.Oscillate:
//go back on curve from end and target start
// start-> end / end -> start
cycle = GetNumberOfCycle(position);
if (0 == cycle % 2f) //if pair
{
virtualPos = position - (cycle * (last.Position - first.Position));
}
else
{
virtualPos = last.Position - position + first.Position + (cycle * (last.Position - first.Position));
}
return(GetCurvePosition(virtualPos));
}
}
else if (position > last.Position)
{
int cycle;
switch (this.PostLoop)
{
case CurveLoopType.Constant:
//constant
return(last.Value);
case CurveLoopType.Linear:
// linear y = a*x +b with a tangeant of last point
return(last.Value + first.TangentOut * (position - last.Position));
case CurveLoopType.Cycle:
//start -> end / start -> end
cycle = GetNumberOfCycle(position);
float virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos));
case CurveLoopType.CycleOffset:
//make the curve continue (with no step) so must up the curve each cycle of delta(value)
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos) + cycle * (last.Value - first.Value));
case CurveLoopType.Oscillate:
//go back on curve from end and target start
// start-> end / end -> start
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
if (0 == cycle % 2f) //if pair
{
virtualPos = position - (cycle * (last.Position - first.Position));
}
else
{
virtualPos = last.Position - position + first.Position + (cycle * (last.Position - first.Position));
}
return(GetCurvePosition(virtualPos));
}
}
//in curve
return(GetCurvePosition(position));
}
/// <summary>
/// Computes tangent for the specific key in the collection.
/// </summary>
/// <param name="keyIndex">The index of key in the collection.</param>
/// <param name="tangentInType">The tangent in-type. <see cref="CurveKey.TangentIn"/> for more details.</param>
/// <param name="tangentOutType">The tangent out-type. <see cref="CurveKey.TangentOut"/> for more details.</param>
public void ComputeTangent(
int keyIndex,
CurveTangent tangentInType,
CurveTangent tangentOutType
)
{
// See http://msdn.microsoft.com/en-us/library/microsoft.xna.framework.curvetangent.aspx
CurveKey key = Keys[keyIndex];
float p0, p, p1;
p0 = p = p1 = key.Position;
float v0, v, v1;
v0 = v = v1 = key.Value;
if (keyIndex > 0)
{
p0 = Keys[keyIndex - 1].Position;
v0 = Keys[keyIndex - 1].Value;
}
if (keyIndex < Keys.Count - 1)
{
p1 = Keys[keyIndex + 1].Position;
v1 = Keys[keyIndex + 1].Value;
}
switch (tangentInType)
{
case CurveTangent.Flat:
key.TangentIn = 0;
break;
case CurveTangent.Linear:
key.TangentIn = v - v0;
break;
case CurveTangent.Smooth:
float pn = p1 - p0;
if (MathHelper.WithinEpsilon(pn, 0.0f))
{
key.TangentIn = 0;
}
else
{
key.TangentIn = (v1 - v0) * ((p - p0) / pn);
}
break;
}
switch (tangentOutType)
{
case CurveTangent.Flat:
key.TangentOut = 0;
break;
case CurveTangent.Linear:
key.TangentOut = v1 - v;
break;
case CurveTangent.Smooth:
float pn = p1 - p0;
if (Math.Abs(pn) < float.Epsilon)
{
key.TangentOut = 0;
}
else
{
key.TangentOut = (v1 - v0) * ((p1 - p) / pn);
}
break;
}
}
/// <summary>
/// Evaluate the value at a position of this <see cref="Curve"/>.
/// </summary>
/// <param name="position">The position on this <see cref="Curve"/>.</param>
/// <returns>Value at the position on this <see cref="Curve"/>.</returns>
public float Evaluate(float position)
{
if (Keys.Count == 0)
{
return(0.0f);
}
if (Keys.Count == 1)
{
return(Keys[0].Value);
}
CurveKey first = Keys[0];
CurveKey last = Keys[Keys.Count - 1];
if (position < first.Position)
{
switch (this.PreLoop)
{
case CurveLoopType.Constant:
return(first.Value);
case CurveLoopType.Linear:
// Linear y = a*x +b with a tangent of last point.
return(first.Value - first.TangentIn * (first.Position - position));
case CurveLoopType.Cycle:
// Start -> end / start -> end...
int cycle = GetNumberOfCycle(position);
float virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos));
case CurveLoopType.CycleOffset:
/* Make the curve continue (with no step) so must up
* the curve each cycle of delta(value).
*/
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos) + cycle * (last.Value - first.Value));
case CurveLoopType.Oscillate:
/* Go back on curve from end and target start
* Start-> end / end -> start...
*/
cycle = GetNumberOfCycle(position);
if (0 == cycle % 2f)
{
virtualPos = position - (cycle * (last.Position - first.Position));
}
else
{
virtualPos = last.Position - position + first.Position + (cycle * (last.Position - first.Position));
}
return(GetCurvePosition(virtualPos));
}
}
else if (position > last.Position)
{
int cycle;
switch (this.PostLoop)
{
case CurveLoopType.Constant:
return(last.Value);
case CurveLoopType.Linear:
// Linear y = a*x +b with a tangent of last point.
return(last.Value + first.TangentOut * (position - last.Position));
case CurveLoopType.Cycle:
// Start -> end / start -> end...
cycle = GetNumberOfCycle(position);
float virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos));
case CurveLoopType.CycleOffset:
/* Make the curve continue (with no step) so must up
* the curve each cycle of delta(value).
*/
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
return(GetCurvePosition(virtualPos) + cycle * (last.Value - first.Value));
case CurveLoopType.Oscillate:
/* Go back on curve from end and target start.
* Start-> end / end -> start...
*/
cycle = GetNumberOfCycle(position);
virtualPos = position - (cycle * (last.Position - first.Position));
if (0 == cycle % 2f)
{
virtualPos = position - (cycle * (last.Position - first.Position));
}
else
{
virtualPos =
last.Position - position + first.Position +
(cycle * (last.Position - first.Position)
);
}
return(GetCurvePosition(virtualPos));
}
}
// In curve.
return(GetCurvePosition(position));
}
public void ComputeTangent(int keyIndex, CurveTangent tangentInType, CurveTangent tangentOutType)
{
CurveKey curveKey = this.keys[keyIndex];
double num1;
float num2 = (float)(num1 = (double)curveKey.Position);
float num3 = (float)num1;
float num4 = (float)num1;
double num5;
float num6 = (float)(num5 = (double)curveKey.Value);
float num7 = (float)num5;
float num8 = (float)num5;
if (keyIndex > 0)
{
num4 = this.keys[keyIndex - 1].Position;
num8 = this.keys[keyIndex - 1].Value;
}
if (keyIndex < this.keys.Count - 1)
{
num2 = this.keys[keyIndex + 1].Position;
num6 = this.keys[keyIndex + 1].Value;
}
switch (tangentInType)
{
case CurveTangent.Flat:
curveKey.TangentIn = 0.0f;
break;
case CurveTangent.Linear:
curveKey.TangentIn = num7 - num8;
break;
case CurveTangent.Smooth:
float num9 = num2 - num4;
curveKey.TangentIn = (double)Math.Abs(num9) >= 1.40129846432482E-45 ? (float)(((double)num6 - (double)num8) * (((double)num3 - (double)num4) / (double)num9)) : 0.0f;
break;
}
switch (tangentOutType)
{
case CurveTangent.Flat:
curveKey.TangentOut = 0.0f;
break;
case CurveTangent.Linear:
curveKey.TangentOut = num6 - num7;
break;
case CurveTangent.Smooth:
float num10 = num2 - num4;
if ((double)Math.Abs(num10) < 1.40129846432482E-45)
{
curveKey.TangentOut = 0.0f;
break;
}
else
{
curveKey.TangentOut = (float)(((double)num6 - (double)num8) * (((double)num2 - (double)num3) / (double)num10));
break;
}
}
}
public FP Evaluate(FP position)
{
CurveKey curveKey = this.keys[0];
CurveKey curveKey2 = this.keys[this.keys.Count - 1];
bool flag = position < curveKey.Position;
FP result;
if (flag)
{
switch (this.PreLoop)
{
case CurveLoopType.Constant:
result = curveKey.Value;
return(result);
case CurveLoopType.Cycle:
{
int numberOfCycle = this.GetNumberOfCycle(position);
FP position2 = position - numberOfCycle * (curveKey2.Position - curveKey.Position);
result = this.GetCurvePosition(position2);
return(result);
}
case CurveLoopType.CycleOffset:
{
int numberOfCycle = this.GetNumberOfCycle(position);
FP position2 = position - numberOfCycle * (curveKey2.Position - curveKey.Position);
result = this.GetCurvePosition(position2) + numberOfCycle * (curveKey2.Value - curveKey.Value);
return(result);
}
case CurveLoopType.Oscillate:
{
int numberOfCycle = this.GetNumberOfCycle(position);
bool flag2 = 0f == (float)numberOfCycle % 2f;
FP position2;
if (flag2)
{
position2 = position - numberOfCycle * (curveKey2.Position - curveKey.Position);
}
else
{
position2 = curveKey2.Position - position + curveKey.Position + numberOfCycle * (curveKey2.Position - curveKey.Position);
}
result = this.GetCurvePosition(position2);
return(result);
}
case CurveLoopType.Linear:
result = curveKey.Value - curveKey.TangentIn * (curveKey.Position - position);
return(result);
}
}
else
{
bool flag3 = position > curveKey2.Position;
if (flag3)
{
switch (this.PostLoop)
{
case CurveLoopType.Constant:
result = curveKey2.Value;
return(result);
case CurveLoopType.Cycle:
{
int numberOfCycle2 = this.GetNumberOfCycle(position);
FP position3 = position - numberOfCycle2 * (curveKey2.Position - curveKey.Position);
result = this.GetCurvePosition(position3);
return(result);
}
case CurveLoopType.CycleOffset:
{
int numberOfCycle2 = this.GetNumberOfCycle(position);
FP position3 = position - numberOfCycle2 * (curveKey2.Position - curveKey.Position);
result = this.GetCurvePosition(position3) + numberOfCycle2 * (curveKey2.Value - curveKey.Value);
return(result);
}
case CurveLoopType.Oscillate:
{
int numberOfCycle2 = this.GetNumberOfCycle(position);
FP position3 = position - numberOfCycle2 * (curveKey2.Position - curveKey.Position);
bool flag4 = 0f == (float)numberOfCycle2 % 2f;
if (flag4)
{
position3 = position - numberOfCycle2 * (curveKey2.Position - curveKey.Position);
}
else
{
position3 = curveKey2.Position - position + curveKey.Position + numberOfCycle2 * (curveKey2.Position - curveKey.Position);
}
result = this.GetCurvePosition(position3);
return(result);
}
case CurveLoopType.Linear:
result = curveKey2.Value + curveKey.TangentOut * (position - curveKey2.Position);
return(result);
}
}
}
result = this.GetCurvePosition(position);
return(result);
}