/// <summary>
/// Initializes a new instance of the SharpDX.AngleSingle structure with the
/// given unit dependant angle and unit type.
/// </summary>
/// <param name="angle">A unit dependant measure of the angle.</param>
/// <param name="type">The type of unit the angle argument is.</param>
public MyAngleSingle(float angle, MyAngleType type)
{
radiansInt = 0;
switch (type)
{
case MyAngleType.Revolution:
radians = MyMathf.RevolutionsToRadians(angle);
break;
case MyAngleType.Degree:
radians = MyMathf.DegreesToRadians(angle);
break;
case MyAngleType.Radian:
radians = angle;
break;
case MyAngleType.Gradian:
radians = MyMathf.GradiansToRadians(angle);
break;
default:
radians = 0.0f;
break;
}
}
/// <summary>
/// Performs a linear interpolation between two colors.
/// </summary>
/// <param name="start">Start color.</param>
/// <param name="end">End color.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the linear interpolation of the two colors.</param>
/// <remarks>
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
/// </remarks>
public static void Lerp(ref MyColor4 start, ref MyColor4 end, float amount, out MyColor4 result)
{
result.Red = MyMathf.Lerp(start.Red, end.Red, amount);
result.Green = MyMathf.Lerp(start.Green, end.Green, amount);
result.Blue = MyMathf.Lerp(start.Blue, end.Blue, amount);
result.Alpha = MyMathf.Lerp(start.Alpha, end.Alpha, amount);
}
/// <summary>
/// Performs a linear interpolation between two colors.
/// </summary>
/// <param name="start">Start color.</param>
/// <param name="end">End color.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the linear interpolation of the two colors.</param>
/// <remarks>
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
/// </remarks>
public static void Lerp(ref MyColor start, ref MyColor end, float amount, out MyColor result)
{
result.R = MyMathf.Lerp(start.R, end.R, amount);
result.G = MyMathf.Lerp(start.G, end.G, amount);
result.B = MyMathf.Lerp(start.B, end.B, amount);
result.A = MyMathf.Lerp(start.A, end.A, amount);
}
/// <summary>
/// Determines whether the specified <see cref="MyRectangleF"/> is equal to this instance.
/// </summary>
/// <param name="other">The <see cref="MyRectangleF"/> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref="MyRectangleF"/> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals(ref MyRectangleF other)
{
return(MyMathf.NearEqual(other.Left, Left) &&
MyMathf.NearEqual(other.Right, Right) &&
MyMathf.NearEqual(other.Top, Top) &&
MyMathf.NearEqual(other.Bottom, Bottom));
}
/// <summary>
/// Determines whether a <see cref="MyOrientedBoundingBox"/> contains an array of points>.
/// </summary>
/// <param name="points">The points array to test.</param>
/// <returns>The type of containment.</returns>
public MyContainmentType Contains(MyVector3[] points)
{
MyMatrix invTrans;
MyMatrix.Invert(ref Transformation, out invTrans);
var containsAll = true;
var containsAny = false;
for (int i = 0; i < points.Length; i++)
{
MyVector3 locPoint;
MyVector3.TransformCoordinate(ref points[i], ref invTrans, out locPoint);
locPoint.X = Math.Abs(locPoint.X);
locPoint.Y = Math.Abs(locPoint.Y);
locPoint.Z = Math.Abs(locPoint.Z);
//Simple axes-aligned BB check
if (MyMathf.NearEqual(locPoint.X, Extents.X) &&
MyMathf.NearEqual(locPoint.Y, Extents.Y) &&
MyMathf.NearEqual(locPoint.Z, Extents.Z))
containsAny = true;
if (locPoint.X < Extents.X && locPoint.Y < Extents.Y && locPoint.Z < Extents.Z)
containsAny = true;
else
containsAll = false;
}
if (containsAll)
return MyContainmentType.Contains;
else if (containsAny)
return MyContainmentType.Intersects;
else
return MyContainmentType.Disjoint;
}
/// <summary>
/// Determines whether the specified <see cref="MyMatrix3x2"/> is equal to this instance.
/// </summary>
/// <param name="other">The <see cref="MyMatrix3x2"/> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref="MyMatrix3x2"/> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals(ref MyMatrix3x2 other)
{
return(MyMathf.NearEqual(other.M11, M11) &&
MyMathf.NearEqual(other.M12, M12) &&
MyMathf.NearEqual(other.M21, M21) &&
MyMathf.NearEqual(other.M22, M22) &&
MyMathf.NearEqual(other.M31, M31) &&
MyMathf.NearEqual(other.M32, M32));
}
/// <summary>
/// Returns a <see cref="System.String"/> that represents this instance.
/// </summary>
/// <param name="format">The format.</param>
/// <param name="formatProvider">The format provider.</param>
/// <returns>
/// A <see cref="System.String"/> that represents this instance.
/// </returns>
public string ToString(string format, IFormatProvider formatProvider)
{
if (format == null)
{
return(ToString(formatProvider));
}
return(string.Format(formatProvider, "{0}°", MyMathf.RadiansToDegrees(radians).ToString(format, CultureInfo.CurrentCulture)));
}
/// <summary>
/// Determines whether the specified <see cref="MyViewportF"/> is equal to this instance.
/// </summary>
/// <param name="other">The <see cref="MyViewportF"/> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref="MyViewportF"/> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals(ref MyViewportF other)
{
return(MyMathf.NearEqual(X, other.X) &&
MyMathf.NearEqual(Y, other.Y) &&
MyMathf.NearEqual(Width, other.Width) &&
MyMathf.NearEqual(Height, other.Height) &&
MyMathf.NearEqual(MinDepth, other.MinDepth) &&
MyMathf.NearEqual(MaxDepth, other.MaxDepth));
}
/// <summary>
/// Performs a linear interpolation between two matrices.
/// </summary>
/// <param name="start">Start matrix.</param>
/// <param name="end">End matrix.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the linear interpolation of the two matrices.</param>
/// <remarks>
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
/// </remarks>
public static void Lerp(ref MyMatrix3x2 start, ref MyMatrix3x2 end, float amount, out MyMatrix3x2 result)
{
result.M11 = MyMathf.Lerp(start.M11, end.M11, amount);
result.M12 = MyMathf.Lerp(start.M12, end.M12, amount);
result.M21 = MyMathf.Lerp(start.M21, end.M21, amount);
result.M22 = MyMathf.Lerp(start.M22, end.M22, amount);
result.M31 = MyMathf.Lerp(start.M31, end.M31, amount);
result.M32 = MyMathf.Lerp(start.M32, end.M32, amount);
}
/// <summary>
/// Projects a 3D vector from object space into screen space.
/// </summary>
/// <param name="source">The vector to project.</param>
/// <param name="matrix">A combined WorldViewProjection matrix.</param>
/// <param name="vector">The projected vector.</param>
public void Project(ref MyVector3 source, ref MyMatrix matrix, out MyVector3 vector)
{
MyVector3.Transform(ref source, ref matrix, out vector);
float a = (((source.X * matrix.M14) + (source.Y * matrix.M24)) + (source.Z * matrix.M34)) + matrix.M44;
if (!MyMathf.IsOne(a))
{
vector = (vector / a);
}
vector.X = (((vector.X + 1f) * 0.5f) * Width) + X;
vector.Y = (((-vector.Y + 1f) * 0.5f) * Height) + Y;
vector.Z = (vector.Z * (MaxDepth - MinDepth)) + MinDepth;
}
/// <summary>
/// Converts a screen space point into a corresponding point in world space.
/// </summary>
/// <param name="source">The vector to project.</param>
/// <param name="matrix">An inverted combined WorldViewProjection matrix.</param>
/// <param name="vector">The unprojected vector.</param>
public void Unproject(ref MyVector3 source, ref MyMatrix matrix, out MyVector3 vector)
{
vector.X = (((source.X - X) / (Width)) * 2f) - 1f;
vector.Y = -((((source.Y - Y) / (Height)) * 2f) - 1f);
vector.Z = (source.Z - MinDepth) / (MaxDepth - MinDepth);
float a = (((vector.X * matrix.M14) + (vector.Y * matrix.M24)) + (vector.Z * matrix.M34)) + matrix.M44;
MyVector3.Transform(ref vector, ref matrix, out vector);
if (!MyMathf.IsOne(a))
{
vector = (vector / a);
}
}
/// <summary>
/// Determines whether a <see cref="MyOrientedBoundingBox"/> contains a point.
/// </summary>
/// <param name="point">The point to test.</param>
/// <returns>The type of containment the two objects have.</returns>
public MyContainmentType Contains(ref MyVector3 point)
{
// Transform the point into the obb coordinates
MyMatrix invTrans;
MyMatrix.Invert(ref Transformation, out invTrans);
MyVector3 locPoint;
MyVector3.TransformCoordinate(ref point, ref invTrans, out locPoint);
locPoint.X = Math.Abs(locPoint.X);
locPoint.Y = Math.Abs(locPoint.Y);
locPoint.Z = Math.Abs(locPoint.Z);
//Simple axes-aligned BB check
if (MyMathf.NearEqual(locPoint.X, Extents.X) && MyMathf.NearEqual(locPoint.Y, Extents.Y) && MyMathf.NearEqual(locPoint.Z, Extents.Z))
return MyContainmentType.Intersects;
if (locPoint.X < Extents.X && locPoint.Y < Extents.Y && locPoint.Z < Extents.Z)
return MyContainmentType.Contains;
else
return MyContainmentType.Disjoint;
}
/// <summary>
/// Calculates the inverse of the specified matrix.
/// </summary>
/// <param name="value">The matrix whose inverse is to be calculated.</param>
/// <param name="result">When the method completes, contains the inverse of the specified matrix.</param>
public static void Invert(ref MyMatrix3x2 value, out MyMatrix3x2 result)
{
float determinant = value.Determinant();
if (MyMathf.IsZero(determinant))
{
result = Identity;
return;
}
float invdet = 1.0f / determinant;
float _offsetX = value.M31;
float _offsetY = value.M32;
result = new MyMatrix3x2(
value.M22 * invdet,
-value.M12 * invdet,
-value.M21 * invdet,
value.M11 * invdet,
(value.M21 * _offsetY - _offsetX * value.M22) * invdet,
(_offsetX * value.M12 - value.M11 * _offsetY) * invdet);
}
/// <summary>
/// Performs a linear interpolation between two matrices.
/// </summary>
/// <param name="start">Start Matrix5x4.</param>
/// <param name="end">End Matrix5x4.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the linear interpolation of the two matrices.</param>
/// <remarks>
/// Passing <paramref name="amount"/> a value of 0 will cause <paramref name="start"/> to be returned; a value of 1 will cause <paramref name="end"/> to be returned.
/// </remarks>
public static void Lerp(ref MyMatrix5x4 start, ref MyMatrix5x4 end, float amount, out MyMatrix5x4 result)
{
result.M11 = MyMathf.Lerp(start.M11, end.M11, amount);
result.M12 = MyMathf.Lerp(start.M12, end.M12, amount);
result.M13 = MyMathf.Lerp(start.M13, end.M13, amount);
result.M14 = MyMathf.Lerp(start.M14, end.M14, amount);
result.M21 = MyMathf.Lerp(start.M21, end.M21, amount);
result.M22 = MyMathf.Lerp(start.M22, end.M22, amount);
result.M23 = MyMathf.Lerp(start.M23, end.M23, amount);
result.M24 = MyMathf.Lerp(start.M24, end.M24, amount);
result.M31 = MyMathf.Lerp(start.M31, end.M31, amount);
result.M32 = MyMathf.Lerp(start.M32, end.M32, amount);
result.M33 = MyMathf.Lerp(start.M33, end.M33, amount);
result.M34 = MyMathf.Lerp(start.M34, end.M34, amount);
result.M41 = MyMathf.Lerp(start.M41, end.M41, amount);
result.M42 = MyMathf.Lerp(start.M42, end.M42, amount);
result.M43 = MyMathf.Lerp(start.M43, end.M43, amount);
result.M44 = MyMathf.Lerp(start.M44, end.M44, amount);
result.M51 = MyMathf.Lerp(start.M51, end.M51, amount);
result.M52 = MyMathf.Lerp(start.M52, end.M52, amount);
result.M53 = MyMathf.Lerp(start.M53, end.M53, amount);
result.M54 = MyMathf.Lerp(start.M54, end.M54, amount);
}
/// <summary>
/// Determines whether the specified <see cref="MyMatrix5x4"/> is equal to this instance.
/// </summary>
/// <param name="other">The <see cref="MyMatrix5x4"/> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref="MyMatrix5x4"/> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals(ref MyMatrix5x4 other)
{
return(MyMathf.NearEqual(other.M11, M11) &&
MyMathf.NearEqual(other.M12, M12) &&
MyMathf.NearEqual(other.M13, M13) &&
MyMathf.NearEqual(other.M14, M14) &&
MyMathf.NearEqual(other.M21, M21) &&
MyMathf.NearEqual(other.M22, M22) &&
MyMathf.NearEqual(other.M23, M23) &&
MyMathf.NearEqual(other.M24, M24) &&
MyMathf.NearEqual(other.M31, M31) &&
MyMathf.NearEqual(other.M32, M32) &&
MyMathf.NearEqual(other.M33, M33) &&
MyMathf.NearEqual(other.M34, M34) &&
MyMathf.NearEqual(other.M41, M41) &&
MyMathf.NearEqual(other.M42, M42) &&
MyMathf.NearEqual(other.M43, M43) &&
MyMathf.NearEqual(other.M44, M44) &&
MyMathf.NearEqual(other.M51, M51) &&
MyMathf.NearEqual(other.M52, M52) &&
MyMathf.NearEqual(other.M53, M53) &&
MyMathf.NearEqual(other.M54, M54));
}
/// <summary>
/// Gets random <c>float</c> number within range.
/// </summary>
/// <param name="random">Current <see cref="System.Random"/>.</param>
/// <param name="min">Minimum.</param>
/// <param name="max">Maximum.</param>
/// <returns>Random <c>float</c> number.</returns>
public static float NextFloat(this Random random, float min, float max)
{
return(MyMathf.Lerp(min, max, (float)random.NextDouble()));
}
/// <summary>
/// Gets random <c>double</c> number within range.
/// </summary>
/// <param name="random">Current <see cref="System.Random"/>.</param>
/// <param name="min">Minimum.</param>
/// <param name="max">Maximum.</param>
/// <returns>Random <c>double</c> number.</returns>
public static double NextDouble(this Random random, double min, double max)
{
return(MyMathf.Lerp(min, max, random.NextDouble()));
}
/// <summary>
/// Determines whether the specified <see cref="MyViewport"/> is equal to this instance.
/// </summary>
/// <param name="other">The <see cref="MyViewport"/> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref="MyViewport"/> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals(ref MyViewport other)
{
return(X == other.X && Y == other.Y && Width == other.Width && Height == other.Height && MyMathf.NearEqual(MinDepth, other.MinDepth) && MyMathf.NearEqual(MaxDepth, other.MaxDepth));
}
/// <summary>
/// Returns a <see cref="System.String"/> that represents this instance.
/// </summary>
/// <returns>
/// A <see cref="System.String"/> that represents this instance.
/// </returns>
public override string ToString()
{
return(string.Format(CultureInfo.CurrentCulture, MyMathf.RadiansToDegrees(radians).ToString("0.##°")));
}
/// <summary>
/// Returns a <see cref="System.String"/> that represents this instance.
/// </summary>
/// <param name="formatProvider">The format provider.</param>
/// <returns>
/// A <see cref="System.String"/> that represents this instance.
/// </returns>
public string ToString(IFormatProvider formatProvider)
{
return(string.Format(formatProvider, MyMathf.RadiansToDegrees(radians).ToString("0.##°")));
}
/// <summary>
/// Performs a cubic interpolation between two colors.
/// </summary>
/// <param name="start">Start color.</param>
/// <param name="end">End color.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the cubic interpolation of the two colors.</param>
public static void SmoothStep(ref MyColor4 start, ref MyColor4 end, float amount, out MyColor4 result)
{
amount = MyMathf.SmoothStep(amount);
Lerp(ref start, ref end, amount, out result);
}
/// <summary>
/// Performs a cubic interpolation between two matrices.
/// </summary>
/// <param name="start">Start matrix.</param>
/// <param name="end">End matrix.</param>
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end"/>.</param>
/// <param name="result">When the method completes, contains the cubic interpolation of the two matrices.</param>
public static void SmoothStep(ref MyMatrix3x2 start, ref MyMatrix3x2 end, float amount, out MyMatrix3x2 result)
{
amount = MyMathf.SmoothStep(amount);
Lerp(ref start, ref end, amount, out result);
}