/// <summary>
/// Multiplies two instances.
/// </summary>
/// <param name="left">The first instance.</param>
/// <param name="right">The second instance.</param>
/// <param name="result">A new instance containing the result of the calculation.</param>
public static void Multiply(ref GQuaternion left, ref GQuaternion right, out GQuaternion result)
{
result = new GQuaternion(
right.W * left.Xyz + left.W * right.Xyz + GVector3.Cross(left.Xyz, right.Xyz),
left.W * right.W - GVector3.Dot(left.Xyz, right.Xyz));
}
/// <summary>
/// Do Spherical linear interpolation between two quaternions
/// </summary>
/// <param name="q1">The first quaternion</param>
/// <param name="q2">The second quaternion</param>
/// <param name="blend">The blend factor</param>
/// <returns>A smooth blend between the given quaternions</returns>
public static GQuaternion Slerp(GQuaternion q1, GQuaternion q2, float blend)
{
// if either input is zero, return the other.
if (Math.Abs(q1.LengthSquared) < MathHelper.EPSILON)
{
if (Math.Abs(q2.LengthSquared) < MathHelper.EPSILON)
{
return(Identity);
}
return(q2);
}
else if (Math.Abs(q2.LengthSquared) < MathHelper.EPSILON)
{
return(q1);
}
float cosHalfAngle = q1.W * q2.W + GVector3.Dot(q1.Xyz, q2.Xyz);
if (cosHalfAngle >= 1.0f || cosHalfAngle <= -1.0f)
{
// angle = 0.0f, so just return one input.
return(q1);
}
else if (cosHalfAngle < 0.0f)
{
q2.Xyz = -q2.Xyz;
q2.W = -q2.W;
cosHalfAngle = -cosHalfAngle;
}
float blendA;
float blendB;
if (cosHalfAngle < 0.99f)
{
// do proper slerp for big angles
float halfAngle = (float)System.Math.Acos(cosHalfAngle);
float sinHalfAngle = (float)System.Math.Sin(halfAngle);
float oneOverSinHalfAngle = 1.0f / sinHalfAngle;
blendA = (float)System.Math.Sin(halfAngle * (1.0f - blend)) * oneOverSinHalfAngle;
blendB = (float)System.Math.Sin(halfAngle * blend) * oneOverSinHalfAngle;
}
else
{
// do lerp if angle is really small.
blendA = 1.0f - blend;
blendB = blend;
}
GQuaternion result = new GQuaternion(blendA * q1.Xyz + blendB * q2.Xyz, blendA * q1.W + blendB * q2.W);
if (result.LengthSquared > 0.0f)
{
return(Normalize(result));
}
else
{
return(Identity);
}
}
public static GQuaternion Mult(GQuaternion left, GQuaternion right)
{
return(new GQuaternion(
right.W * left.Xyz + left.W * right.Xyz + GVector3.Cross(left.Xyz, right.Xyz),
left.W * right.W - GVector3.Dot(left.Xyz, right.Xyz)));
}