/// <summary>
/// Creates an orthographic projection matrix.
/// </summary>
/// <param name="left">The left edge of the projection volume.</param>
/// <param name="right">The right edge of the projection volume.</param>
/// <param name="bottom">The bottom edge of the projection volume.</param>
/// <param name="top">The top edge of the projection volume.</param>
/// <param name="zNear">The near edge of the projection volume.</param>
/// <param name="zFar">The far edge of the projection volume.</param>
/// <param name="result">The resulting Matrix4 instance.</param>
public static void CreateOrthographicOffCenter(float left, float right, float bottom, float top, float zNear, float zFar, out Matrix4D result)
{
result = new Matrix4D();
float invRL = 1 / (right - left);
float invTB = 1 / (top - bottom);
float invFN = 1 / (zFar - zNear);
result.Row0.X = 2 * invRL;
result.Row1.Y = 2 * invTB;
result.Row2.Z = -2 * invFN;
result.Row3.X = -(right + left) * invRL;
result.Row3.Y = -(top + bottom) * invTB;
result.Row3.Z = -(zFar + zNear) * invFN;
result.Row3.W = 1;
}
/// <summary>
/// Creates an orthographic projection matrix.
/// </summary>
/// <param name="width">The width of the projection volume.</param>
/// <param name="height">The height of the projection volume.</param>
/// <param name="depthNear">The near edge of the projection volume.</param>
/// <param name="depthFar">The far edge of the projection volume.</param>
/// <param name="result">The resulting Matrix4d instance.</param>
public static void CreateOrthographic(double width, double height, double depthNear, double depthFar, out Matrix4D result)
{
CreateOrthographicOffCenter(-width / 2, width / 2, -height / 2, height / 2, depthNear, depthFar, out result);
}
/// <summary>Creates a translation matrix.</summary>
/// <param name="vector">The translation vector.</param>
/// <param name="result">The resulting Matrix4.</param>
public static void CreateTranslation(ref Vector3 vector, out Matrix4D result)
{
result = Identity;
result.Row3 = new Vector4(vector.X, vector.Y, vector.Z, 1);
}
/// <summary>
/// Calculate the transpose of the given matrix
/// </summary>
/// <param name="mat">The matrix to transpose</param>
/// <returns>The transpose of the given matrix</returns>
public static Matrix4D Transpose(Matrix4D mat)
{
return(new Matrix4D(mat.Column0, mat.Column1, mat.Column2, mat.Column3));
}
/// <summary>Creates a translation matrix.</summary>
/// <param name="x">X translation.</param>
/// <param name="y">Y translation.</param>
/// <param name="z">Z translation.</param>
/// <param name="result">The resulting Matrix4.</param>
public static void CreateTranslation(double x, double y, double z, out Matrix4D result)
{
result = Identity;
result.Row3 = new Vector4(x, y, z, 1);
}
