ZeroVR/ZeroPacientVR/Assets/CodeRespawn/DungeonArchitect/ThirdParty/SharpNav/MathHelper.cs

// Copyright (c) 2013-2015 Robert Rouhani <robert.rouhani@gmail.com> and other contributors (see CONTRIBUTORS file).
// Licensed under the MIT License - https://raw.github.com/Robmaister/SharpNav/master/LICENSE

using SharpNav.Geometry;

#if MONOGAME
using Vector3 = Microsoft.Xna.Framework.Vector3;
#elif OPENTK
using Vector3 = OpenTK.Vector3;
#elif SHARPDX
using Vector3 = SharpDX.Vector3;
#endif

namespace SharpNav
{
	/// <summary>
	/// A class where all the small, miscellaneous math functions are stored.
	/// </summary>
	internal static class MathHelper
	{
		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		/// <returns>The clamped value.</returns>
		internal static int Clamp(int val, int min, int max)
		{
			return val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		internal static void Clamp(ref int val, int min, int max)
		{
			val = val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		/// <returns>The clamped value.</returns>
		internal static uint Clamp(uint val, uint min, uint max)
		{
			return val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		internal static void Clamp(ref uint val, uint min, uint max)
		{
			val = val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		/// <returns>The clamped value.</returns>
		internal static float Clamp(float val, float min, float max)
		{
			return val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Clamps an integer value to be within a specified range.
		/// </summary>
		/// <param name="val">The value to clamp.</param>
		/// <param name="min">The inclusive minimum of the range.</param>
		/// <param name="max">The inclusive maximum of the range.</param>
		internal static void Clamp(ref float val, float min, float max)
		{
			val = val < min ? min : (val > max ? max : val);
		}

		/// <summary>
		/// Normalizes a value in a specified range to be between 0 and 1.
		/// </summary>
		/// <param name="t">The value</param>
		/// <param name="t0">The lower bound of the range.</param>
		/// <param name="t1">The upper bound of the range.</param>
		/// <returns>A normalized value.</returns>
		public static float Normalize(float t, float t0, float t1)
		{
			return MathHelper.Clamp((t - t0) / (t1 - t0), 0.0f, 1.0f);
		}

		/// <summary>
		/// Calculates the next highest power of two.
		/// </summary>
		/// <remarks>
		/// This is a minimal method meant to be fast. There is a known edge case where an input of 0 will output 0
		/// instead of the mathematically correct value of 1. It will not be fixed.
		/// </remarks>
		/// <param name="v">A value.</param>
		/// <returns>The next power of two after the value.</returns>
		internal static int NextPowerOfTwo(int v)
		{
			v--;
			v |= v >> 1;
			v |= v >> 2;
			v |= v >> 4;
			v |= v >> 8;
			v |= v >> 16;
			v++;

			return v;
		}

		/// <summary>
		/// Calculates the next highest power of two.
		/// </summary>
		/// <remarks>
		/// This is a minimal method meant to be fast. There is a known edge case where an input of 0 will output 0
		/// instead of the mathematically correct value of 1. It will not be fixed.
		/// </remarks>
		/// <param name="v">A value.</param>
		/// <returns>The next power of two after the value.</returns>
		internal static uint NextPowerOfTwo(uint v)
		{
			v--;
			v |= v >> 1;
			v |= v >> 2;
			v |= v >> 4;
			v |= v >> 8;
			v |= v >> 16;
			v++;

			return v;
		}

		/// <summary>
		/// Calculates the binary logarithm of the input.
		/// </summary>
		/// <remarks>
		/// Inputs 0 and below have undefined output.
		/// </remarks>
		/// <param name="v">A value.</param>
		/// <returns>The binary logarithm of v.</returns>
		internal static int Log2(int v)
		{
			int r;
			int shift;

			r = (v > 0xffff) ? 1 << 4 : 0 << 4;
			v >>= r;

			shift = (v > 0xff) ? 1 << 3 : 0 << 3;
			v >>= shift;
			r |= shift;

			shift = (v > 0xf) ? 1 << 2 : 0 << 2;
			v >>= shift;
			r |= shift;

			shift = (v > 0x3) ? 1 << 1 : 0 << 1;
			v >>= shift;
			r |= shift;

			r |= v >> 1;

			return r;
		}

		/// <summary>
		/// Calculates the binary logarithm of the input.
		/// </summary>
		/// <remarks>
		/// An input of 0 has an undefined output.
		/// </remarks>
		/// <param name="v">A value.</param>
		/// <returns>The binary logarithm of v.</returns>
		internal static uint Log2(uint v)
		{
			uint r;
			int shift;

			r = (uint)((v > 0xffff) ? 1 << 4 : 0 << 4);
			v >>= (int)r;

			shift = (v > 0xff) ? 1 << 3 : 0 << 3;
			v >>= shift;
			r |= (uint)shift;

			shift = (v > 0xf) ? 1 << 2 : 0 << 2;
			v >>= shift;
			r |= (uint)shift;

			shift = (v > 0x3) ? 1 << 1 : 0 << 1;
			v >>= shift;
			r |= (uint)shift;

			r |= v >> 1;

			return r;
		}

		/// <summary>
		/// Clips a polygon to a plane using the Sutherland-Hodgman algorithm.
		/// </summary>
		/// <param name="inVertices">The input array of vertices.</param>
		/// <param name="outVertices">The output array of vertices.</param>
		/// <param name="numVerts">The number of vertices to read from the arrays.</param>
		/// <param name="planeX">The clip plane's X component.</param>
		/// <param name="planeZ">The clip plane's Z component.</param>
		/// <param name="planeD">The clip plane's D component.</param>
		/// <returns>The number of vertices stored in outVertices.</returns>
		internal static int ClipPolygonToPlane(Vector3[] inVertices, Vector3[] outVertices, int numVerts, float planeX, float planeZ, float planeD)
		{
			float[] distances = new float[12];
			return ClipPolygonToPlane(inVertices, outVertices, distances, numVerts, planeX, planeZ, planeD);
		}

		/// <summary>
		/// Clips a polygon to a plane using the Sutherland-Hodgman algorithm.
		/// </summary>
		/// <param name="inVertices">The input array of vertices.</param>
		/// <param name="outVertices">The output array of vertices.</param>
		/// <param name="distances">A buffer that stores intermediate data</param>
		/// <param name="numVerts">The number of vertices to read from the arrays.</param>
		/// <param name="planeX">The clip plane's X component.</param>
		/// <param name="planeZ">The clip plane's Z component.</param>
		/// <param name="planeD">The clip plane's D component.</param>
		/// <returns>The number of vertices stored in outVertices.</returns>
		internal static int ClipPolygonToPlane(Vector3[] inVertices, Vector3[] outVertices, float[] distances, int numVerts, float planeX, float planeZ, float planeD)
		{
			for (int i = 0; i < numVerts; i++)
				distances[i] = planeX * inVertices[i].X + planeZ * inVertices[i].Z + planeD;

			int m = 0;
			Vector3 temp;
			for (int i = 0, j = numVerts - 1; i < numVerts; j = i, i++)
			{
				bool inj = distances[j] >= 0;
				bool ini = distances[i] >= 0;

				if (inj != ini)
				{
					float s = distances[j] / (distances[j] - distances[i]);

					Vector3.Subtract(ref inVertices[i], ref inVertices[j], out temp);
					Vector3.Multiply(ref temp, s, out temp);
					Vector3.Add(ref inVertices[j], ref temp, out outVertices[m]);
					m++;
				}

				if (ini)
				{
					outVertices[m] = inVertices[i];
					m++;
				}
			}

			return m;
		}
	}
}