static void CalculateProjectileRange(Degree degrees, out Second tmax, out Meter xmax, out Meter ymax)
{
var g = (Meter_Sec2)9.80665; // the gravitational acceleration
var v = (Meter_Sec)715.0; // the velocity at which the projectile is launched (AK-47)
var h = (Meter)0.0; // the initial height of the projectile
var angle = (Radian)degrees; // the angle at which the projectile is launched
// the time it takes for the projectile to finish its trajectory:
tmax = (v * UMath.Sin(angle) + UMath.Sqrt((v * UMath.Sin(angle)) * (v * UMath.Sin(angle)) + 2.0 * g * h)) / g;
ymax = h;
for (Second t = Second.Zero; t < tmax; t++)
{
Meter y = h + v * UMath.Sin(angle) * t - g * t * t / 2.0;
if (y > ymax)
{
ymax = y;
}
}
// the total horizontal distance traveled by the projectile
xmax = v * UMath.Cos(angle) * tmax;
}
public static float Evaluate(float start, float end, float time, TweenType type)
{
if (UMath.Abs(start - end) < float.Epsilon)
{
return(start);
}
switch (type)
{
case TweenType.Linear:
return(start + (end - start) * time);
case TweenType.ContinuousLinear:
var difEndStart = (end - start);
if ((difEndStart) < -UMath.halfAngle)
{
return(start + ((UMath.maxAngle - start) + end) * time);
}
if (difEndStart > UMath.halfAngle)
{
return(start - ((UMath.maxAngle - end) + start) * time);
}
return(start + difEndStart * time);
case TweenType.Spring:
time = UMath.Clamp01(time);
time = (UMath.Sin(time * UMath.PI * (0.2f + 2.5f * time * time * time)) * UMath.Pow(1f - time, 2.2f + time)) *
(1f + (1.2f * (1f - time)));
return(start + (end - start) * time);
case TweenType.EaseInQuadratic:
end -= start;
return(end * time * time + start);
case TweenType.EaseOutQuadratic:
end -= start;
return(-end * time * (time - 2) + start);
case TweenType.EaseInOutQuadratic:
time /= .5f;
end -= start;
if (time < 1)
{
return(end * 0.5f * time * time + start);
}
time--;
return(-end * 0.5f * (time * (time - 2) - 1) + start);
case TweenType.EaseInCubic:
end -= start;
return(end * time * time * time + start);
case TweenType.EaseOutCubic:
time--;
end -= start;
return(end * (time * time * time + 1) + start);
case TweenType.EaseInOutCubic:
time /= .5f;
end -= start;
if (time < 1)
{
return(end * 0.5f * time * time * time + start);
}
time -= 2;
return(end * 0.5f * (time * time * time + 2) + start);
case TweenType.EaseInQuartic:
end -= start;
return(end * time * time * time * time + start);
case TweenType.EaseOutQuartic:
time--;
end -= start;
return(-end * (time * time * time * time - 1) + start);
case TweenType.EaseInOutQuartic:
time /= .5f;
end -= start;
if (time < 1)
{
return(end * 0.5f * time * time * time * time + start);
}
time -= 2;
return(-end * 0.5f * (time * time * time * time - 2) + start);
case TweenType.EaseInQuintic:
end -= start;
return(end * time * time * time * time * time + start);
case TweenType.EaseOutQuintic:
time--;
end -= start;
return(end * (time * time * time * time * time + 1) + start);
case TweenType.EaseInOutQuintic:
time /= .5f;
end -= start;
if (time < 1)
{
return(end * 0.5f * time * time * time * time * time + start);
}
time -= 2;
return(end * 0.5f * (time * time * time * time * time + 2) + start);
case TweenType.EaseInSinusiodal:
end -= start;
return(-end *UMath.Cos(time *UMath.halfPI) + end + start);
case TweenType.EaseOutSinusiodal:
end -= start;
return(end * UMath.Sin(time * UMath.halfPI) + start);
case TweenType.EaseInOutSinusiodal:
end -= start;
return(-end * 0.5f * (UMath.Cos(UMath.PI * time) - 1) + start);
case TweenType.EaseInExpo:
end -= start;
return(end * UMath.Pow(2, 10 * (time - 1)) + start);
case TweenType.EaseOutExpo:
end -= start;
return(end * (-UMath.Pow(2, -10 * time) + 1) + start);
case TweenType.EaseInOutExpo:
time /= .5f;
end -= start;
if (time < 1)
{
return(end * 0.5f * UMath.Pow(2, 10 * (time - 1)) + start);
}
time--;
return(end * 0.5f * (-UMath.Pow(2, -10 * time) + 2) + start);
case TweenType.EaseInCircular:
end -= start;
return(-end * (UMath.Sqrt(1 - time * time) - 1) + start);
case TweenType.EaseOutCircular:
time--;
end -= start;
return(end * UMath.Sqrt(1 - time * time) + start);
case TweenType.EaseInOutCircular:
time /= .5f;
end -= start;
if (time < 1)
{
return(-end * 0.5f * (UMath.Sqrt(1 - time * time) - 1) + start);
}
time -= 2;
return(end * 0.5f * (UMath.Sqrt(1 - time * time) + 1) + start);
case TweenType.EaseInBounce:
end -= start;
return(end - Evaluate(0, end, 1f - time, TweenType.EaseOutBounce) + start);
case TweenType.EaseOutBounce:
end -= start;
if (time < 0.3637f)
{
return(end * (7.5625f * time * time) + start);
}
if (time < 0.7272f)
{
time -= 0.5454f;
return(end * (7.5625f * (time) * time + .75f) + start);
}
if (time < 0.9091f)
{
time -= 0.8182f;
return(end * (7.5625f * (time) * time + .9375f) + start);
}
time -= 0.95454f;
return(end * (7.5625f * (time) * time + .984375f) + start);
case TweenType.EaseInOutBounce:
end -= start;
if (time < 0.5f)
{
return(Evaluate(0, end, time * 2, TweenType.EaseInBounce) * 0.5f + start);
}
return(Evaluate(0, end, time * 2 - 1f, TweenType.EaseOutBounce) * 0.5f + end * 0.5f + start);
case TweenType.EaseInBack:
end -= start;
return(end * (time) * time * ((s1Const + 1) * time - s1Const) + start);
case TweenType.EaseOutBack:
end -= start;
time = (time) - 1;
return(end * ((time) * time * ((s1Const + 1) * time + s1Const) + 1) + start);
case TweenType.EaseInOutBack:
end -= start;
time /= .5f;
if ((time) < 1)
{
return(end * 0.5f * (time * time * (((s2Const) + 1) * time - s2Const)) + start);
}
time -= 2;
return(end * 0.5f * ((time) * time * (((s2Const) + 1) * time + s2Const) + 2) + start);
case TweenType.Punch:
if (time == 0)
{
return(0);
}
if (time == 1)
{
return(0);
}
return((start + end) * UMath.Pow(2, -10 * time) * UMath.Sin((time) * (UMath.doublePI) / 0.3f));
case TweenType.EaseInElastic:
end -= start;
if (time == 0)
{
return(start);
}
if (time == 1)
{
return(start + end);
}
return(-(end * UMath.Pow(2, 10 * (time - 1)) * UMath.Sin((time - 0.075f) * (UMath.doublePI) / 0.3f)) + start);
case TweenType.EaseOutElastic:
end -= start;
if (time == 0)
{
return(start);
}
if (time == 1)
{
return(start + end);
}
return(end * UMath.Pow(2, -10 * time) * UMath.Sin((time - 0.075f) * (UMath.doublePI) / 0.3f) + end + start);
case TweenType.EaseInOutElastic:
end -= start;
if (time == 0)
{
return(start);
}
if ((time /= 0.5f) == 2)
{
return(start + end);
}
if (time < 1)
{
return(-0.5f * (end * UMath.Pow(2, 10 * (time -= 1)) * UMath.Sin((time - 0.075f) * (UMath.doublePI) / 0.3f)) +
start);
}
return(end * UMath.Pow(2, -10 * (time -= 1)) * UMath.Sin((time - 0.075f) * (UMath.doublePI) / 0.3f) * 0.5f + end +
start);
}
throw new System.Exception("Something Error!!!");
}