269 lines
9.6 KiB
C#
269 lines
9.6 KiB
C#
// Copyright (c) Xenko contributors (https://xenko.com) and Silicon Studio Corp. (https://www.siliconstudio.co.jp)
|
|
// Distributed under the MIT license. See the LICENSE.md file in the project root for more information.
|
|
//
|
|
// Copyright (c) 2010-2011 SharpDX - Alexandre Mutel
|
|
//
|
|
// Permission is hereby granted, free of charge, to any person obtaining a copy
|
|
// of this software and associated documentation files (the "Software"), to deal
|
|
// in the Software without restriction, including without limitation the rights
|
|
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
|
// copies of the Software, and to permit persons to whom the Software is
|
|
// furnished to do so, subject to the following conditions:
|
|
//
|
|
// The above copyright notice and this permission notice shall be included in
|
|
// all copies or substantial portions of the Software.
|
|
//
|
|
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
|
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
|
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
|
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
|
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
|
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
|
// THE SOFTWARE.
|
|
|
|
using System;
|
|
using System.ComponentModel;
|
|
using System.Globalization;
|
|
using System.Runtime.InteropServices;
|
|
using Xenko.Core.Serialization;
|
|
using System.Runtime.Serialization;
|
|
|
|
namespace math
|
|
{
|
|
/// <summary>
|
|
/// A half precision (16 bit) floating point value.
|
|
/// </summary>
|
|
[DataContract]
|
|
[StructLayout(LayoutKind.Sequential, Pack = 2)]
|
|
public struct Half
|
|
{
|
|
private ushort value;
|
|
|
|
/// <summary>
|
|
/// Number of decimal digits of precision.
|
|
/// </summary>
|
|
public const int PrecisionDigits = 3;
|
|
|
|
/// <summary>
|
|
/// Number of bits in the mantissa.
|
|
/// </summary>
|
|
public const int MantissaBits = 11;
|
|
|
|
/// <summary>
|
|
/// Maximum decimal exponent.
|
|
/// </summary>
|
|
public const int MaximumDecimalExponent = 4;
|
|
|
|
/// <summary>
|
|
/// Maximum binary exponent.
|
|
/// </summary>
|
|
public const int MaximumBinaryExponent = 15;
|
|
|
|
/// <summary>
|
|
/// Minimum decimal exponent.
|
|
/// </summary>
|
|
public const int MinimumDecimalExponent = -4;
|
|
|
|
/// <summary>
|
|
/// Minimum binary exponent.
|
|
/// </summary>
|
|
public const int MinimumBinaryExponent = -14;
|
|
|
|
/// <summary>
|
|
/// Exponent radix.
|
|
/// </summary>
|
|
public const int ExponentRadix = 2;
|
|
|
|
/// <summary>
|
|
/// Additional rounding.
|
|
/// </summary>
|
|
public const int AdditionRounding = 1;
|
|
|
|
/// <summary>
|
|
/// Smallest such that 1.0 + epsilon != 1.0
|
|
/// </summary>
|
|
public static readonly float Epsilon;
|
|
|
|
/// <summary>
|
|
/// Maximum value of the number.
|
|
/// </summary>
|
|
public static readonly float MaxValue;
|
|
|
|
/// <summary>
|
|
/// Minimum value of the number.
|
|
/// </summary>
|
|
public static readonly float MinValue;
|
|
|
|
/// <summary>
|
|
/// A <see cref="Half"/> whose value is 0.0f.
|
|
/// </summary>
|
|
public static readonly Half Zero;
|
|
|
|
/// <summary>
|
|
/// A <see cref="Half"/> whose value is 1.0f.
|
|
/// </summary>
|
|
public static readonly Half One;
|
|
|
|
/// <summary>
|
|
/// Initializes a new instance of the <see cref="Half"/> structure.
|
|
/// </summary>
|
|
/// <param name = "value">The floating point value that should be stored in 16 bit format.</param>
|
|
public Half(float value)
|
|
{
|
|
this.value = HalfUtils.Pack(value);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets the raw 16 bit value used to back this half-float.
|
|
/// </summary>
|
|
public ushort RawValue
|
|
{
|
|
get { return value; }
|
|
set { this.value = value; }
|
|
}
|
|
|
|
/// <summary>
|
|
/// Converts an array of half precision values into full precision values.
|
|
/// </summary>
|
|
/// <param name = "values">The values to be converted.</param>
|
|
/// <returns>An array of converted values.</returns>
|
|
public static float[] ConvertToFloat(Half[] values)
|
|
{
|
|
float[] results = new float[values.Length];
|
|
for (int i = 0; i < results.Length; i++)
|
|
results[i] = HalfUtils.Unpack(values[i].RawValue);
|
|
return results;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Converts an array of full precision values into half precision values.
|
|
/// </summary>
|
|
/// <param name = "values">The values to be converted.</param>
|
|
/// <returns>An array of converted values.</returns>
|
|
public static Half[] ConvertToHalf(float[] values)
|
|
{
|
|
Half[] results = new Half[values.Length];
|
|
for (int i = 0; i < results.Length; i++)
|
|
results[i] = new Half(values[i]);
|
|
return results;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref = "T:System.Single" /> to <see cref = "T:math.Half" />.
|
|
/// </summary>
|
|
/// <param name = "value">The value to be converted.</param>
|
|
/// <returns>The converted value.</returns>
|
|
public static explicit operator Half(float value)
|
|
{
|
|
return new Half(value);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref = "T:math.Half" /> to <see cref = "T:System.Single" />.
|
|
/// </summary>
|
|
/// <param name = "value">The value to be converted.</param>
|
|
/// <returns>The converted value.</returns>
|
|
public static implicit operator float(Half value)
|
|
{
|
|
return HalfUtils.Unpack(value.value);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for equality between two objects.
|
|
/// </summary>
|
|
/// <param name = "left">The first value to compare.</param>
|
|
/// <param name = "right">The second value to compare.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if <paramref name = "left" /> has the same value as <paramref name = "right" />; otherwise, <c>false</c>.</returns>
|
|
public static bool operator ==(Half left, Half right)
|
|
{
|
|
return left.value == right.value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for inequality between two objects.
|
|
/// </summary>
|
|
/// <param name = "left">The first value to compare.</param>
|
|
/// <param name = "right">The second value to compare.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if <paramref name = "left" /> has a different value than <paramref name = "right" />; otherwise, <c>false</c>.</returns>
|
|
public static bool operator !=(Half left, Half right)
|
|
{
|
|
return left.value != right.value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Converts the value of the object to its equivalent string representation.
|
|
/// </summary>
|
|
/// <returns>The string representation of the value of this instance.</returns>
|
|
public override string ToString()
|
|
{
|
|
float num = this;
|
|
return num.ToString(CultureInfo.CurrentCulture);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the hash code for this instance.
|
|
/// </summary>
|
|
/// <returns>A 32-bit signed integer hash code.</returns>
|
|
public override int GetHashCode()
|
|
{
|
|
ushort num = value;
|
|
return ((num * 3) / 2) ^ num;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified object instances are considered equal.
|
|
/// </summary>
|
|
/// <param name = "value1">The first value.</param>
|
|
/// <param name = "value2">The second value.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if <paramref name = "value1" /> is the same instance as <paramref name = "value2" /> or
|
|
/// if both are <c>null</c> references or if <c>value1.Equals(value2)</c> returns <c>true</c>; otherwise, <c>false</c>.</returns>
|
|
public static bool Equals(ref Half value1, ref Half value2)
|
|
{
|
|
return value1.value == value2.value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a value that indicates whether the current instance is equal to the specified object.
|
|
/// </summary>
|
|
/// <param name = "other">Object to make the comparison with.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the current instance is equal to the specified object; <c>false</c> otherwise.</returns>
|
|
public bool Equals(Half other)
|
|
{
|
|
return other.value == value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a value that indicates whether the current instance is equal to a specified object.
|
|
/// </summary>
|
|
/// <param name = "obj">Object to make the comparison with.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the current instance is equal to the specified object; <c>false</c> otherwise.</returns>
|
|
public override bool Equals(object obj)
|
|
{
|
|
if (obj == null)
|
|
{
|
|
return false;
|
|
}
|
|
if (obj.GetType() != GetType())
|
|
{
|
|
return false;
|
|
}
|
|
Half half = (Half)obj;
|
|
return half.value == value;
|
|
}
|
|
|
|
static Half()
|
|
{
|
|
Epsilon = 0.0004887581f;
|
|
MaxValue = 65504f;
|
|
MinValue = 6.103516E-05f;
|
|
Zero = (Half)0.0f;
|
|
One = (Half)1.0f;
|
|
}
|
|
}
|
|
}
|