/// <summary>
/// Composes a ContinuousMap implementing GetValueAt by first executing the provided delegate, then returning
/// GetValueAt from this map. It is the opposite of "then". It is mathematically equivalent
/// to <c>this ∘ param</c>.
///
/// <see cref="Then{TIn,TIntermediate,TOut}"/> for more information on the performance of this method.
/// </summary>
/// <param name="outer">This. Map that should receive intermediate values and return final values. Nonnull.</param>
/// <param name="inner">Func to receive values from GetValue calls and pass them to this. Nonnull.</param>
/// <typeparam name="TIn">Input type of parameter, and of the composed map.</typeparam>
/// <typeparam name="TIntermediate">Output type of parameter and input type of this.</typeparam>
/// <typeparam name="TOut">Output type of the this and of the composed map.</typeparam>
/// <returns>A ContinousMap (a ComposedMap, specifically) that acts like "right, then left".</returns>
public static ComposedMap <TIn, TIntermediate, TOut> Compose <TIn, TIntermediate, TOut>(
this ContinuousMap <TIntermediate, TOut> outer,
Func <TIn, TIntermediate> inner)
{
return(new ComposedMap <TIn, TIntermediate, TOut>(
new FunctionBackedContinuousMap <TIn, TIntermediate>(inner),
outer));
}
/// <summary>
/// Constructs a ShiftedMap2D whose input is shifted by a dvec2 and stretched by another dvec2.
/// </summary>
/// <param name="shift">
/// The vector by which the 2D map is shifted.
/// </param>
/// <param name="stretch">
/// The vector by which the 2D map's coordinates are multiplied.
/// </param>
/// <param name="function">
/// The ContinuousMap that is shifted and stretched.
/// </param>
public ShiftedMap2D(dvec2 shift, dvec2 stretch, ContinuousMap <dvec2, TOut> function)
{
DebugUtil.AssertAllFinite(shift, nameof(shift));
DebugUtil.AssertAllFinite(stretch, nameof(stretch));
this.Shift = shift;
this.Stretch = stretch;
this.Function = function;
}
/// <summary>
/// Construct a new MoldCastMap from a curve.
/// </summary>
/// <param name="raycastCurve">
/// The curve from which the rays are cast. A ray is cast out of each point on the curve. This could for
/// example be the center curve of a Capsule, in which case the CurveMoldCastMap returns a height map that
/// ensures that the Capsule is shaped like the moldSurface.
/// </param>
/// <param name="moldSurface">
/// The surface that defines the mold that shapes the height map that is returned by the MoldCastMap. Rays
/// that are cast are checked whether they intersect this surface.
/// </param>
/// <param name="defaultRadius">
/// The height map that is returned when a ray does not intersect the moldSurface. This happens when the ray
/// has missed the mold surface and shoots off to infinity. When that happens, return the length of
/// defaultRadius instead, so that the heightmap is still defined.
/// </param>
/// <param name="direction">
/// The direction along the normal of the raycastSurface from which to cast each ray. This could either be
/// outwards from the surface, or in the opposite direction.
/// </param>
/// <param name="maxDistance">
/// The maximum ray length before a ray is considered to be out of bounds.
/// </param>
public MoldCastMap(Curve raycastCurve,
IRaytraceableSurface moldSurface,
ContinuousMap <Vector2, float> defaultRadius,
RayCastDirection direction = RayCastDirection.Outwards,
float maxDistance = Single.PositiveInfinity)
: this(new Capsule(raycastCurve, 0.0f), moldSurface, defaultRadius, direction, maxDistance)
{
}
/// <summary>
/// Construct a new MoldCastMap from a curve.
/// </summary>
/// <param name="raycastCurve">
/// The curve from which the rays are cast. A ray is cast out of each point on the curve. This could for
/// example be the center curve of a Capsule, in which case the CurveMoldCastMap returns a height map that
/// ensures that the Capsule is shaped like the moldSurface.
/// </param>
/// <param name="moldSurface">
/// The surface that defines the mold that shapes the height map that is returned by the MoldCastMap. Rays
/// that are cast are checked whether they intersect this surface.
/// </param>
/// <param name="defaultRadius">
/// The height map that is returned when a ray does not intersect the moldSurface. This happens when the ray
/// has missed the mold surface and shoots off to infinity. When that happens, return the length of
/// defaultRadius instead, so that the heightmap is still defined.
/// </param>
/// <param name="direction">
/// The direction along the normal of the raycastSurface from which to cast each ray. This could either be
/// outwards from the surface, or in the opposite direction.
/// </param>
/// <param name="maxDistance">
/// The maximum ray length before a ray is considered to be out of bounds.
/// </param>
public MoldCastMap(Curve raycastCurve,
IRaytraceableSurface moldSurface,
ContinuousMap <dvec2, double> defaultRadius,
RayCastDirection direction = RayCastDirection.Outwards,
double maxDistance = Double.PositiveInfinity)
: this(new Capsule(raycastCurve, 0.0), moldSurface, defaultRadius, direction, maxDistance)
{
}
/// <summary>
/// Construct a new MoldCastMap.
/// </summary>
/// <param name="raycastSurface">
/// The surface from which the rays are cast. A ray is cast out of each point on the surface in the
/// direction of the surface's normal.
/// </param>
/// <param name="moldSurface">
/// The surface that defines the mold that shapes the height map that is returned by the MoldCastMap. Rays
/// that are cast are checked whether they intersect this surface.
/// </param>
/// <param name="defaultRadius">
/// The height map that is returned when a ray does not intersect the moldSurface. This happens when the ray
/// has missed the mold surface and shoots off to infinity. When that happens, return the length of
/// defaultRadius instead, so that the heightmap is still defined.
/// </param>
/// <param name="direction">
/// The direction along the normal of the raycastSurface from which to cast each ray. This could either be
/// outwards from the surface, or in the opposite direction.
/// </param>
/// <param name="maxDistance">
/// The maximum ray length before a ray is considered to be out of bounds.
/// </param>
public MoldCastMap(Surface raycastSurface,
IRaytraceableSurface moldSurface,
ContinuousMap <Vector2, float> defaultRadius,
RayCastDirection direction = RayCastDirection.Outwards,
float maxDistance = Single.PositiveInfinity)
{
this.raycastSurface = raycastSurface;
this.moldSurface = moldSurface;
this.defaultRadius = defaultRadius;
this.direction = direction;
this.maxDistance = maxDistance;
}
/// <summary>
/// Construct a new MoldCastMap.
/// </summary>
/// <param name="raycastSurface">
/// The surface from which the rays are cast. A ray is cast out of each point on the surface in the
/// direction of the surface's normal.
/// </param>
/// <param name="moldSurface">
/// The surface that defines the mold that shapes the height map that is returned by the MoldCastMap. Rays
/// that are cast are checked whether they intersect this surface.
/// </param>
/// <param name="defaultRadius">
/// The height map that is returned when a ray does not intersect the moldSurface. This happens when the ray
/// has missed the mold surface and shoots off to infinity. When that happens, return the length of
/// defaultRadius instead, so that the heightmap is still defined.
/// </param>
/// <param name="direction">
/// The direction along the normal of the raycastSurface from which to cast each ray. This could either be
/// outwards from the surface, or in the opposite direction.
/// </param>
/// <param name="maxDistance">
/// The maximum ray length before a ray is considered to be out of bounds.
/// </param>
public MoldCastMap(Surface raycastSurface,
IRaytraceableSurface moldSurface,
ContinuousMap <dvec2, double> defaultRadius,
RayCastDirection direction = RayCastDirection.Outwards,
double maxDistance = Double.PositiveInfinity)
{
this._raycastSurface = raycastSurface;
this._moldSurface = moldSurface;
this._defaultRadius = defaultRadius;
this._direction = direction;
this._maxDistance = maxDistance;
}
/// <summary>
/// Constructs a ComposedMap feeding the left map into the right map to produce a map from left.I to right.O.
/// Due to the general ugliness of ComposedMap's full type name, you probably don't want to use this directly.
/// Use left.Then(right) instead.
/// </summary>
/// <param name="left">Map from input value to an intermediate value. Nonnull.</param>
/// <param name="right">Map from intermediate value to the final value. Nonnull.</param>
/// <exception cref="ArgumentException">If either argument is null.</exception>
public ComposedMap(ContinuousMap <TIn, TIntermediate> left,
ContinuousMap <TIntermediate, TOut> right)
{
if (left == null)
{
throw new ArgumentException("ComposedMap constructor requires nonnull arguments", "left");
}
if (right == null)
{
throw new ArgumentException("ComposedMap constructor requires nonnull arguments", "right");
}
_left = left;
_right = right;
}
/// <summary>
/// Constructs a ShiftedMap2D whose input is shifted by a dvec2.
/// </summary>
/// <param name="shift">
/// The vector by which the 2D map is shifted.
/// </param>
/// <param name="function">
/// The ContinuousMap that is shifted and stretched.
/// </param>
public ShiftedMap2D(dvec2 shift, ContinuousMap <dvec2, TOut> function)
: this(shift, new dvec2(1.0, 1.0), function)
{
}
/// <summary>
/// Constructs a ContinuousMap taking 2D input values, based on a ContinuousMap that takes 1D input values.
/// <example>For example:
/// <code>
/// // Define an arbitrary 1D function:
/// ContinuousMap{float, float} lineFunction = new QuadraticFunction(1.0f, 1.0f, 1.0f);
///
/// Vector2 direction = new Vector2(0.0f, 1.0f); // Let the 2D function vary along the y-axis.
/// ContinuousMap{Vector2, float} planeFunction = new DomainToVector2{float}(direction, function);
/// </code>
/// creates a 2D function described by a 1D quadratic function along the y-axis. The x-axis of the resulting
/// function is therefore constant, while the output value varies along the y-axis, as specified by
/// <c>direction</c>.
/// </example>
/// </summary>
/// <param name="direction">
/// The direction in which the 1D function is placed onto the 2D domain. The magnitude of this vector
/// has an effect on the scale of the function.
/// </param>
public DomainToVector2(dvec2 direction, ContinuousMap <double, TOut> function)
{
ParameterDirection = direction;
Function = function;
}
/// <summary>
/// Composes a ContinuousMap generated by taking the output of the provided map and feeding it into this
/// map. It is the opposite of "then". It is mathematically equivalent to <c>this ∘ param</c>.
///
/// <see cref="Then{TIn,TIntermediate,TOut}"/> for more information on the performance of this method.
/// </summary>
/// <param name="outer">This. Map that should receive intermediate values and return final values. Nonnull.</param>
/// <param name="inner">Map to receive values from GetValue calls and pass them to this. Nonnull.</param>
/// <typeparam name="TIn">Input type of parameter, and of the composed map.</typeparam>
/// <typeparam name="TIntermediate">Output type of parameter and input type of this.</typeparam>
/// <typeparam name="TOut">Output type of the this and of the composed map.</typeparam>
/// <returns>A ContinousMap (a ComposedMap, specifically) that acts like "right, then left".</returns>
public static ComposedMap <TIn, TIntermediate, TOut> Compose <TIn, TIntermediate, TOut>(
this ContinuousMap <TIntermediate, TOut> outer,
ContinuousMap <TIn, TIntermediate> inner)
{
return(new ComposedMap <TIn, TIntermediate, TOut>(inner, outer));
}
/// <summary>
/// Composes a ContinuousMap generated by taking the output of this map and sending it to a map created
/// with a GetValueAt function implemented from the provided delegate (which can be a lambda). The
/// output is another ContinousMap, so a chain of maps can be described with .Then().Then().Then()...
/// </summary>
/// <param name="left">This. Map that should receive input values. Nonnull.</param>
/// <param name="right">Function taking values from this and return values in the composed map. Nonnull.</param>
/// <typeparam name="TIn">Input type of This, and of the composed map.</typeparam>
/// <typeparam name="TIntermediate">Output type of This and input type of the argument.</typeparam>
/// <typeparam name="TOut">Output type of the argument function and of the composed map.</typeparam>
/// <returns>A ContinousMap (a ComposedMap, specifically) that acts like "left, then right".</returns>
public static ComposedMap <TIn, TIntermediate, TOut> Then <TIn, TIntermediate, TOut>(this ContinuousMap <TIn,
TIntermediate> left, Func <TIntermediate, TOut> right)
{
return(new ComposedMap <TIn, TIntermediate, TOut>(left,
new FunctionBackedContinuousMap <TIntermediate, TOut>(right)));
}
/// <summary>
/// Composes a ContinuousMap generated by taking the output of this map and sending it to the provided map.
/// The output is another ContinuousMap, so a chain of maps can be described with .Then().Then().Then()...
///
/// This should be much more convenient than the ComposedMap constructor, because the parameterized types
/// should be completely autodeduced, getting them out of the middle of the expression. The resulting
/// ComposedMap is lightweight (it is one pointer to each map), so it's okay to use it once and throw it
/// away (by using left.Then(right).GetValueAt(x) in the middle of an expression).
/// </summary>
/// <param name="left">This. Map that should receive input values. Nonnull.</param>
/// <param name="right">Map to receive values from this and return values in the composed map. Nonnull.</param>
/// <typeparam name="TIn">Input type of This, and of the composed map.</typeparam>
/// <typeparam name="TIntermediate">Output type of This and input type of the argument.</typeparam>
/// <typeparam name="TOut">Output type of the argument map and of the composed map.</typeparam>
/// <returns>A ContinousMap (a ComposedMap, specifically) that acts like "left, then right".</returns>
public static ComposedMap <TIn, TIntermediate, TOut> Then <TIn, TIntermediate, TOut>(this ContinuousMap <TIn,
TIntermediate> left, ContinuousMap <TIntermediate, TOut> right)
{
return(new ComposedMap <TIn, TIntermediate, TOut>(left, right));
}
/// <summary>
/// Constructs a ContinuousMap taking 2D input values, based on a ContinuousMap that takes 1D input values.
/// <example>For example:
/// <code>
/// // Define an arbitrary 1D function:
/// ContinuousMap<float, float> lineFunction = new QuadraticFunction(1.0f, 1.0f, 1.0f);
///
/// Vector2 direction = new Vector2(0.0f, 1.0f); // Let the 2D function vary along the y-axis.
/// ContinuousMap<Vector2, float> planeFunction = new DomainToVector2<float>(direction, function);
/// </code>
/// creates a 2D function described by a 1D quadratic function along the y-axis. The x-axis of the resulting
/// function is therefore constant, while the output value varies along the y-axis, as specified by
/// <c>direction</c>.
/// </example>
/// </summary>
/// <param name="direction">
/// The direction in which the 1D function is placed onto the 2D domain. The magnitude of this vector
/// has an effect on the scale of the function.
/// </param>
public DomainToVector2(Vector2 direction, ContinuousMap <float, TOut> function)
{
this.ParameterDirection = direction;
this.Function = function;
}
/// <summary>
/// Constructs a ShiftedMap2D whose input is shifted by a Vector2 and stretched by another Vector2.
/// </summary>
/// <param name="shift">
/// The vector by which the 2D map is shifted.
/// </param>
/// <param name="stretch">
/// The vector by which the 2D map's coordinates are multiplied.
/// </param>
/// <param name="function">
/// The ContinuousMap that is shifted and stretched.
/// </param>
public ShiftedMap2D(Vector2 shift, Vector2 stretch, ContinuousMap <Vector2, TOut> function)
{
this.Shift = shift;
this.Stretch = stretch;
this.Function = function;
}
/// <summary>
/// Constructs a ShiftedMap2D whose input is shifted by a Vector2.
/// </summary>
/// <param name="shift">
/// The vector by which the 2D map is shifted.
/// </param>
/// <param name="function">
/// The ContinuousMap that is shifted and stretched.
/// </param>
public ShiftedMap2D(Vector2 shift, ContinuousMap <Vector2, TOut> function)
: this(shift, new Vector2(1.0f, 1.0f), function)
{
}