public static long Pack(int xBits, int yBits, Vector2l vector)
{
Contract.Requires(0 <= xBits && xBits <= 64, "xBits must be between 0 and 64 inclusive.");
Contract.Requires(0 <= yBits && yBits <= 64, "yBits must be between 0 and 64 inclusive.");
Contract.Requires(xBits + yBits <= 64);
ulong x = (ulong)(vector.X) >> (64 - xBits);
ulong y = (ulong)(vector.Y) >> (64 - yBits);
y <<= xBits;
return((long)(x | y));
}
/// <summary>
/// Initializes a new instance of the <see cref="Vector8l"/> using the specified vector and values.
/// </summary>
/// <param name="value">A vector containing the values with which to initialize the first 2 components</param>
/// <param name="v2">Value for the V2 component of the vector.</param>
/// <param name="v3">Value for the V3 component of the vector.</param>
/// <param name="v4">Value for the V4 component of the vector.</param>
/// <param name="v5">Value for the V5 component of the vector.</param>
/// <param name="v6">Value for the V6 component of the vector.</param>
/// <param name="v7">Value for the V7 component of the vector.</param>
public Vector8l(Vector2l value, long v2, long v3, long v4, long v5, long v6, long v7, long v8, long v9)
{
V0 = value.X;
V1 = value.Y;
V2 = v2;
V3 = v3;
V4 = v4;
V5 = v5;
V6 = v6;
V7 = v7;
}
/// <summary>
/// Transforms a vector in cartesian coordinates to polar coordinates.
/// </summary>
/// <param name="value">The vector to transform.</param>
/// <returns>The polar coordinates of value.</returns>
public static PolarCoordinate CartesianToPolar(Vector2l value)
{
double theta = Functions.Atan2(value.Y, value.X);
if (theta < 0)
{
theta += 2 * Constants.Pi;
}
return(new PolarCoordinate(
theta,
(double)Functions.Sqrt(value.X * value.X + value.Y * value.Y)));
}
/// <summary>
/// Computes the normalized value (or unit) of a vector.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>The normalized value of value.</returns>
public static Vector2d Normalize(Vector2l value)
{
var absolute = Absolute(value);
if (absolute <= double.Epsilon)
{
return(Vector2l.Zero);
}
else
{
return((Vector2d)value / absolute);
}
}
/// <summary>
/// Determines whether all components of a vector are non-zero.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>true if all components are non-zero; false otherwise.</returns>
public static bool All(Vector2l value)
{
return(value.X != 0 && value.Y != 0);
}
/// <summary>
/// Determines whether any component of a vector is non-zero.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>true if any components are non-zero; false otherwise.</returns>
public static bool Any(Vector2l value)
{
return(value.X != 0 || value.Y != 0);
}
/// <summary>
/// Returns a value that indicates whether two vectors are equal.
/// </summary>
/// <param name="left">The first vector to compare.</param>
/// <param name="right">The second vector to compare.</param>
/// <returns>true if the left and right are equal; otherwise, false.</returns>
public static bool Equals(Vector2l left, Vector2l right)
{
return(left == right);
}
/// <summary>
/// Calculates the dot product (inner product) of two vectors.
/// </summary>
/// <param name="left">First source vector.</param>
/// <param name="right">Second source vector.</param>
/// <returns>The dot product of the two vectors.</returns>
public static long Dot(Vector2l left, Vector2l right)
{
return(left.X * right.X + left.Y * right.Y);
}
/// <summary>
/// Returns a vector that contains the highest value from each pair of components.
/// </summary>
/// <param name="value1">The first vector.</param>
/// <param name="value2">The second vector.</param>
/// <returns>The highest of each component in left and the matching component in right.</returns>
public static Vector2l Max(Vector2l value1, Vector2l value2)
{
return(new Vector2l(Functions.Max(value1.X, value2.X), Functions.Max(value1.Y, value2.Y)));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2s Map(Vector2l value, Func <long, short> mapping)
{
return(new Vector2s(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2d Map(Vector2l value, Func <long, double> mapping)
{
return(new Vector2d(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Computes the absolute value (or modulus or magnitude) of a vector and returns the result.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>The absolute value of value.</returns>
public static double Absolute(Vector2l value)
{
return(Functions.Sqrt(AbsoluteSquared(value)));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2sb Map(Vector2l value, Func <long, sbyte> mapping)
{
return(new Vector2sb(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Returns the additive inverse of a vector.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>The negative of value.</returns>
public static Vector2l Negative(Vector2l value)
{
return(new Vector2l(-value.X, -value.Y));
}
/// <summary>
/// Writes the given <see cref="Vector2l"/> to an <see cref="Ibasa.IO.BinaryWriter">.
/// </summary>
public static void Write(this Ibasa.IO.BinaryWriter writer, Vector2l vector)
{
writer.Write(vector.X);
writer.Write(vector.Y);
}
/// <summary>
/// Multiplys the components of two vectors and returns the result.
/// </summary>
/// <param name="left">The first vector to modulate.</param>
/// <param name="right">The second vector to modulate.</param>
/// <returns>The result of multiplying each component of left by the matching component in right.</returns>
public static Vector2l Modulate(Vector2l left, Vector2l right)
{
return(new Vector2l(left.X * right.X, left.Y * right.Y));
}
/// <summary>
/// Constrains each component to a given range.
/// </summary>
/// <param name="value">A vector to constrain.</param>
/// <param name="min">The minimum values for each component.</param>
/// <param name="max">The maximum values for each component.</param>
/// <returns>A vector with each component constrained to the given range.</returns>
public static Vector2l Clamp(Vector2l value, Vector2l min, Vector2l max)
{
return(new Vector2l(Functions.Clamp(value.X, min.X, max.X), Functions.Clamp(value.Y, min.Y, max.Y)));
}
/// <summary>
/// Determines whether any components of a vector satisfy a condition.
/// </summary>
/// <param name="value">A vector.</param>
/// <param name="predicate">A function to test each component for a condition.</param>
/// <returns>true if any component of the vector passes the test in the specified
/// predicate; otherwise, false.</returns>
public static bool Any(Vector2l value, Predicate <long> predicate)
{
return(predicate(value.X) || predicate(value.Y));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2h Map(Vector2l value, Func <long, Half> mapping)
{
return(new Vector2h(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Computes the absolute squared value of a vector and returns the result.
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>The absolute squared value of value.</returns>
public static long AbsoluteSquared(Vector2l value)
{
return(Dot(value, value));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2ui Map(Vector2l value, Func <long, uint> mapping)
{
return(new Vector2ui(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Adds two vectors and returns the result.
/// </summary>
/// <param name="left">The first value to add.</param>
/// <param name="right">The second value to add.</param>
/// <returns>The sum of left and right.</returns>
public static Vector2l Add(Vector2l left, Vector2l right)
{
return(new Vector2l(left.X + right.X, left.Y + right.Y));
}
/// <summary>
/// Returns the absolute value (per component).
/// </summary>
/// <param name="value">A vector.</param>
/// <returns>The absolute value (per component) of value.</returns>
public static Vector2l Abs(Vector2l value)
{
return(new Vector2l(Functions.Abs(value.X), Functions.Abs(value.Y)));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2f Map(Vector2l value, Func <long, float> mapping)
{
return(new Vector2f(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Subtracts one vectors from another and returns the result.
/// </summary>
/// <param name="left">The value to subtract from (the minuend).</param>
/// <param name="right">The value to subtract (the subtrahend).</param>
/// <returns>The result of subtracting right from left (the difference).</returns>
public static Vector2l Subtract(Vector2l left, Vector2l right)
{
return(new Vector2l(left.X - right.X, left.Y - right.Y));
}
/// <summary>
/// Maps the components of a vector and returns the result.
/// </summary>
/// <param name="value">The vector to map.</param>
/// <param name="mapping">A mapping function to apply to each component.</param>
/// <returns>The result of mapping each component of value.</returns>
public static Vector2l Map(Vector2l value, Func <long, long> mapping)
{
return(new Vector2l(mapping(value.X), mapping(value.Y)));
}
/// <summary>
/// Returns the product of a vector and scalar.
/// </summary>
/// <param name="vector">The vector to multiply.</param>
/// <param name="scalar">The scalar to multiply.</param>
/// <returns>The product of the left and right parameters.</returns>
public static Vector2l Multiply(Vector2l vector, long scalar)
{
return(new Vector2l(vector.X * scalar, vector.Y * scalar));
}
/// <summary>
/// Divides a vector by a scalar and returns the result.
/// </summary>
/// <param name="vector">The vector to be divided (the dividend).</param>
/// <param name="scalar">The scalar to divide by (the divisor).</param>
/// <returns>The result of dividing left by right (the quotient).</returns>
public static Vector2l Divide(Vector2l vector, long scalar)
{
return(new Vector2l(vector.X / scalar, vector.Y / scalar));
}
public IEnumerable <Tuple <Point2l, Point2l> > Trace(Point2l start, Point2l end)
{
var x0 = start.X / GridSize.Width;
var y0 = start.Y / GridSize.Height;
var x1 = end.X / GridSize.Width;
var y1 = end.Y / GridSize.Height;
var dir = new Vector2l(end.X - start.X, end.Y - start.Y);
var dx = Math.Sign(dir.X);
var dy = Math.Sign(dir.Y);
var deltax = (double)GridSize.Width / Math.Abs(dir.X);
var deltay = (double)GridSize.Height / Math.Abs(dir.Y);
var minx = x0 * GridSize.Width;
var maxx = minx + GridSize.Width;
var miny = y0 * GridSize.Height;
var maxy = miny + GridSize.Height;
var distx = ((dx >= 0) ? (maxx - start.X) : (start.X - minx)) / (double)GridSize.Width;
var disty = ((dy >= 0) ? (maxy - start.Y) : (start.Y - miny)) / (double)GridSize.Height;
var tx = distx * deltax;
var ty = disty * deltay;
var prev = new Point2l(x0, y0);
var hit = start;
while (true)
{
var grid = new Point2l(x0, y0);
yield return(Tuple.Create(grid, hit));
prev = grid;
if (tx <= ty)
{
if (x0 == x1)
{
break;
}
hit = new Point2l(
start.X + (long)(dir.X * tx),
start.Y + (long)(dir.Y * tx));
tx += deltax;
x0 += dx;
}
else
{
if (y0 == y1)
{
break;
}
hit = new Point2l(
start.X + (long)(dir.X * ty),
start.Y + (long)(dir.Y * ty));
ty += deltay;
y0 += dy;
}
}
}