// 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 System.Runtime.Serialization;
namespace math
{
///
/// A half precision (16 bit) floating point value.
///
[DataContract]
[StructLayout(LayoutKind.Sequential, Pack = 2)]
public struct Half
{
private ushort value;
///
/// Number of decimal digits of precision.
///
public const int PrecisionDigits = 3;
///
/// Number of bits in the mantissa.
///
public const int MantissaBits = 11;
///
/// Maximum decimal exponent.
///
public const int MaximumDecimalExponent = 4;
///
/// Maximum binary exponent.
///
public const int MaximumBinaryExponent = 15;
///
/// Minimum decimal exponent.
///
public const int MinimumDecimalExponent = -4;
///
/// Minimum binary exponent.
///
public const int MinimumBinaryExponent = -14;
///
/// Exponent radix.
///
public const int ExponentRadix = 2;
///
/// Additional rounding.
///
public const int AdditionRounding = 1;
///
/// Smallest such that 1.0 + epsilon != 1.0
///
public static readonly float Epsilon;
///
/// Maximum value of the number.
///
public static readonly float MaxValue;
///
/// Minimum value of the number.
///
public static readonly float MinValue;
///
/// A whose value is 0.0f.
///
public static readonly Half Zero;
///
/// A whose value is 1.0f.
///
public static readonly Half One;
///
/// Initializes a new instance of the structure.
///
/// The floating point value that should be stored in 16 bit format.
public Half(float value)
{
this.value = HalfUtils.Pack(value);
}
///
/// Gets or sets the raw 16 bit value used to back this half-float.
///
public ushort RawValue
{
get { return value; }
set { this.value = value; }
}
///
/// Converts an array of half precision values into full precision values.
///
/// The values to be converted.
/// An array of converted values.
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;
}
///
/// Converts an array of full precision values into half precision values.
///
/// The values to be converted.
/// An array of converted values.
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;
}
///
/// Performs an explicit conversion from to .
///
/// The value to be converted.
/// The converted value.
public static explicit operator Half(float value)
{
return new Half(value);
}
///
/// Performs an implicit conversion from to .
///
/// The value to be converted.
/// The converted value.
public static implicit operator float(Half value)
{
return HalfUtils.Unpack(value.value);
}
///
/// Tests for equality between two objects.
///
/// The first value to compare.
/// The second value to compare.
///
/// true if has the same value as ; otherwise, false.
public static bool operator ==(Half left, Half right)
{
return left.value == right.value;
}
///
/// Tests for inequality between two objects.
///
/// The first value to compare.
/// The second value to compare.
///
/// true if has a different value than ; otherwise, false.
public static bool operator !=(Half left, Half right)
{
return left.value != right.value;
}
///
/// Converts the value of the object to its equivalent string representation.
///
/// The string representation of the value of this instance.
public override string ToString()
{
float num = this;
return num.ToString(CultureInfo.CurrentCulture);
}
///
/// Returns the hash code for this instance.
///
/// A 32-bit signed integer hash code.
public override int GetHashCode()
{
ushort num = value;
return ((num * 3) / 2) ^ num;
}
///
/// Determines whether the specified object instances are considered equal.
///
/// The first value.
/// The second value.
///
/// true if is the same instance as or
/// if both are null references or if value1.Equals(value2) returns true; otherwise, false.
public static bool Equals(ref Half value1, ref Half value2)
{
return value1.value == value2.value;
}
///
/// Returns a value that indicates whether the current instance is equal to the specified object.
///
/// Object to make the comparison with.
///
/// true if the current instance is equal to the specified object; false otherwise.
public bool Equals(Half other)
{
return other.value == value;
}
///
/// Returns a value that indicates whether the current instance is equal to a specified object.
///
/// Object to make the comparison with.
///
/// true if the current instance is equal to the specified object; false otherwise.
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;
}
}
}