public bool Intersect2DQuadrant(Vec3f point, byte quadrant)
{
switch (quadrant)
{
case 1:
return(X > point.X && Y < point.Y);
case 2:
return(X < point.X && Y < point.Y);
case 3:
return(X < point.X && Y > point.Y);
case 4:
return(X > point.X && Y > point.Y);
default:
return(false);
}
}
/// <summary>
/// Determine the angle between two <see cref="Vec3f"/>.
/// </summary>
/// <returns>The angle.</returns>
/// <param name="from">From <see cref="Vec3f"/>.</param>
/// <param name="to">To <see cref="Vec3f"/>.</param>
public static float Angle(Vec3f from, Vec3f to)
{
float denominator = MathF.Sqrt(from.SqrtLength * to.SqrtLength);
if (denominator < 0.1f)
{
return(0f);
}
float dot = Dot(from, to) / denominator;
if (dot < -1.0f)
{
dot = -1.0f;
}
if (dot > 1.0f)
{
dot = 1.0f;
}
return(MathF.Acos(dot) * 1.0f / (MathF.PI * 2.0f / 360.0f));
}
public static Vec3f Lerp(Vec3f from, Vec3f to, float value) => new Vec3f(
Utility.Lerp(from.X, to.X, value),
Utility.Lerp(from.Y, to.Y, value),
Utility.Lerp(from.Z, to.Z, value)
);
/// <summary> /// Determine the signed angle between two <see cref="Vec3f"/>. /// </summary> /// <returns>The signed angle.</returns> /// <param name="from">From <see cref="Vec3f"/>.</param> /// <param name="to">To <see cref="Vec3f"/>.</param> /// <param name="axis">Axis <see cref="Vec3f"/>.</param> public static float SignedAngle(Vec3f from, Vec3f to, Vec3f axis) => Angle(from, to) * Dot(axis, Cross(from, to)) >= 0.0f ? 1.0f : -1.0f;
/// <summary> /// Computes the cross product of this <see cref="Vec3f"/> /// and the <see cref="Vec3f"/> <c>b</c>, yielding /// a new <see cref="Vec3f"/>. /// </summary> /// <returns>The <see cref="Vec3f"/> that is this x <c>b</c>.</returns> /// <param name="a">The first <see cref="Vec3f"/> to multiply.</param> /// <param name="b">The second <see cref="Vec3f"/> to multiply.</param> public Vec3f Cross(Vec3f b) => Cross(this, b);
/// <summary> /// Computes the dot product of this <see cref="Vec3f"/> /// and the <see cref="Vec3f"/> <c>b</c>, yielding /// a new <see cref="Vec3f"/>. /// </summary> /// <returns>The <see cref="Vec3f"/> that is this * <c>b</c>.</returns> /// <param name="b">The <see cref="Vec3f"/> to multiply.</param> public float Dot(Vec3f b) => Dot(this, b);
/// <summary> /// Computes the cross product of the <see cref="Vec3f"/> <c>a</c> /// and the <see cref="Vec3f"/> <c>b</c>, yielding /// a new <see cref="Vec3f"/>. /// </summary> /// <returns>The <see cref="Vec3f"/> that is the <c>a</c> x <c>b</c>.</returns> /// <param name="b">The second <see cref="Vec3f"/> to multiply.</param> public static Vec3f Cross(Vec3f a, Vec3f b) => new Vec3f(a.Y * b.Z - a.Z * b.Y, a.Z * b.X - a.X * b.Z, a.X * b.Y - a.Y * b.X);
/// <summary> /// Computes the dot product of the <see cref="Vec3f"/> <c>a</c> /// and the <see cref="Vec3f"/> <c>b</c>, yielding /// a new <see cref="Vec3f"/>. /// </summary> /// <returns>The <see cref="Vec3f"/> that is the <c>a</c> * <c>b</c>.</returns> /// <param name="a">The <see cref="Vec3f"/> to multiply.</param> /// <param name="b">The <see cref="Vec3f"/> to multiply.</param> public static float Dot(Vec3f a, Vec3f b) => (a * b).Reduce;
/// <summary> /// Returns the <see cref="float"/> distance between this and another <see cref="Vec3f"/> /// </summary> /// <returns>The distance.</returns> /// <param name="b">End vector b.</param> public float Distance(Vec3f pointB) => Distance(this, pointB);
/// <summary> /// Returns the <see cref="float"/> distance between two <see cref="Vec3f"/>. /// </summary> /// <returns>The distance.</returns> /// <param name="a">Start vector a.</param> /// <param name="b">End vector b.</param> public static float Distance(Vec3f a, Vec3f b) => (a - b).Length;
/// <summary> /// Returns the center <see cref="Vec3f"/> between /// the current <see cref="Vec3f"/> and /// another <see cref="Vec3f"/> B. /// </summary> /// <returns>The center point.</returns> /// <param name="b">Vector b.</param> public Vec3f Center(Vec3f b) => Center(this, b);
/// <summary> /// Center <see cref="Vec3f"/> between two <see cref="Vec3f"/>. /// </summary> /// <returns>The center point.</returns> /// <param name="a">Vector a.</param> /// <param name="b">Vector b.</param> public static Vec3f Center(Vec3f a, Vec3f b) => (a + b) * 0.5f;