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C# Half-precision data type
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Half.cs
/// ================ Half.cs ====================
/// The code is free to use for any reason without any restrictions.
/// Ladislav Lang (2009), Joannes Vermorel (2017)
using System;
using System.Diagnostics;
using System.Globalization;
namespace SystemHalf
{
/// <summary>
/// Represents a half-precision floating point number.
/// </summary>
/// <remarks>
/// Note:
/// Half is not fast enought and precision is also very bad,
/// so is should not be used for mathematical computation (use Single instead).
/// The main advantage of Half type is lower memory cost: two bytes per number.
/// Half is typically used in graphical applications.
///
/// Note:
/// All functions, where is used conversion half->float/float->half,
/// are approx. ten times slower than float->double/double->float, i.e. ~3ns on 2GHz CPU.
///
/// References:
/// - Code retrieved from http://sourceforge.net/p/csharp-half/code/HEAD/tree/ on 2015-12-04
/// - Fast Half Float Conversions, Jeroen van der Zijp, link: http://www.fox-toolkit.org/ftp/fasthalffloatconversion.pdf
/// - IEEE 754 revision, link: http://grouper.ieee.org/groups/754/
/// </remarks>
[Serializable]
public struct Half : IComparable, IFormattable, IConvertible, IComparable<Half>, IEquatable<Half>
{
/// <summary>
/// Internal representation of the half-precision floating-point number.
/// </summary>
[DebuggerBrowsable(DebuggerBrowsableState.Never)]
internal ushort Value;
#region Constants
/// <summary>
/// Represents the smallest positive System.Half value greater than zero. This field is constant.
/// </summary>
public static readonly Half Epsilon = ToHalf(0x0001);
/// <summary>
/// Represents the largest possible value of System.Half. This field is constant.
/// </summary>
public static readonly Half MaxValue = ToHalf(0x7bff);
/// <summary>
/// Represents the smallest possible value of System.Half. This field is constant.
/// </summary>
public static readonly Half MinValue = ToHalf(0xfbff);
/// <summary>
/// Represents not a number (NaN). This field is constant.
/// </summary>
public static readonly Half NaN = ToHalf(0xfe00);
/// <summary>
/// Represents negative infinity. This field is constant.
/// </summary>
public static readonly Half NegativeInfinity = ToHalf(0xfc00);
/// <summary>
/// Represents positive infinity. This field is constant.
/// </summary>
public static readonly Half PositiveInfinity = ToHalf(0x7c00);
#endregion
#region Constructors
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified single-precision floating-point number.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(float value) { this = HalfHelper.SingleToHalf(value); }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified 32-bit signed integer.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(int value) : this((float)value) { }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified 64-bit signed integer.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(long value) : this((float)value) { }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified double-precision floating-point number.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(double value) : this((float)value) { }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified decimal number.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(decimal value) : this((float)value) { }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified 32-bit unsigned integer.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(uint value) : this((float)value) { }
/// <summary>
/// Initializes a new instance of System.Half to the value of the specified 64-bit unsigned integer.
/// </summary>
/// <param name="value">The value to represent as a System.Half.</param>
public Half(ulong value) : this((float)value) { }
#endregion
#region Numeric operators
/// <summary>
/// Returns the result of multiplying the specified System.Half value by negative one.
/// </summary>
/// <param name="half">A System.Half.</param>
/// <returns>A System.Half with the value of half, but the opposite sign. -or- Zero, if half is zero.</returns>
public static Half Negate(Half half) { return -half; }
/// <summary>
/// Adds two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>A System.Half value that is the sum of half1 and half2.</returns>
public static Half Add(Half half1, Half half2) { return half1 + half2; }
/// <summary>
/// Subtracts one specified System.Half value from another.
/// </summary>
/// <param name="half1">A System.Half (the minuend).</param>
/// <param name="half2">A System.Half (the subtrahend).</param>
/// <returns>The System.Half result of subtracting half2 from half1.</returns>
public static Half Subtract(Half half1, Half half2) { return half1 - half2; }
/// <summary>
/// Multiplies two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half (the multiplicand).</param>
/// <param name="half2">A System.Half (the multiplier).</param>
/// <returns>A System.Half that is the result of multiplying half1 and half2.</returns>
public static Half Multiply(Half half1, Half half2) { return half1 * half2; }
/// <summary>
/// Divides two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half (the dividend).</param>
/// <param name="half2">A System.Half (the divisor).</param>
/// <returns>The System.Half that is the result of dividing half1 by half2.</returns>
/// <exception cref="System.DivideByZeroException">half2 is zero.</exception>
public static Half Divide(Half half1, Half half2) { return half1 / half2; }
/// <summary>
/// Returns the value of the System.Half operand (the sign of the operand is unchanged).
/// </summary>
/// <param name="half">The System.Half operand.</param>
/// <returns>The value of the operand, half.</returns>
public static Half operator +(Half half) { return half; }
/// <summary>
/// Negates the value of the specified System.Half operand.
/// </summary>
/// <param name="half">The System.Half operand.</param>
/// <returns>The result of half multiplied by negative one (-1).</returns>
public static Half operator -(Half half) { return HalfHelper.Negate(half); }
/// <summary>
/// Increments the System.Half operand by 1.
/// </summary>
/// <param name="half">The System.Half operand.</param>
/// <returns>The value of half incremented by 1.</returns>
public static Half operator ++(Half half) { return (Half)(half + 1f); }
/// <summary>
/// Decrements the System.Half operand by one.
/// </summary>
/// <param name="half">The System.Half operand.</param>
/// <returns>The value of half decremented by 1.</returns>
public static Half operator --(Half half) { return (Half)(half - 1f); }
/// <summary>
/// Adds two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>The System.Half result of adding half1 and half2.</returns>
public static Half operator +(Half half1, Half half2) { return (Half)(half1 + (float)half2); }
/// <summary>
/// Subtracts two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>The System.Half result of subtracting half1 and half2.</returns>
public static Half operator -(Half half1, Half half2) { return (Half)(half1 - (float)half2); }
/// <summary>
/// Multiplies two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>The System.Half result of multiplying half1 by half2.</returns>
public static Half operator *(Half half1, Half half2) { return (Half)(half1 * (float)half2); }
/// <summary>
/// Divides two specified System.Half values.
/// </summary>
/// <param name="half1">A System.Half (the dividend).</param>
/// <param name="half2">A System.Half (the divisor).</param>
/// <returns>The System.Half result of half1 by half2.</returns>
public static Half operator /(Half half1, Half half2) { return (Half)(half1 / (float)half2); }
/// <summary>
/// Returns a value indicating whether two instances of System.Half are equal.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 and half2 are equal; otherwise, false.</returns>
public static bool operator ==(Half half1, Half half2) { return (!IsNaN(half1) && (half1.Value == half2.Value)); }
/// <summary>
/// Returns a value indicating whether two instances of System.Half are not equal.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 and half2 are not equal; otherwise, false.</returns>
public static bool operator !=(Half half1, Half half2) { return half1.Value != half2.Value; }
/// <summary>
/// Returns a value indicating whether a specified System.Half is less than another specified System.Half.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 is less than half1; otherwise, false.</returns>
public static bool operator <(Half half1, Half half2) { return half1 < (float)half2; }
/// <summary>
/// Returns a value indicating whether a specified System.Half is greater than another specified System.Half.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 is greater than half2; otherwise, false.</returns>
public static bool operator >(Half half1, Half half2) { return half1 > (float)half2; }
/// <summary>
/// Returns a value indicating whether a specified System.Half is less than or equal to another specified System.Half.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 is less than or equal to half2; otherwise, false.</returns>
public static bool operator <=(Half half1, Half half2) { return (half1 == half2) || (half1 < half2); }
/// <summary>
/// Returns a value indicating whether a specified System.Half is greater than or equal to another specified System.Half.
/// </summary>
/// <param name="half1">A System.Half.</param>
/// <param name="half2">A System.Half.</param>
/// <returns>true if half1 is greater than or equal to half2; otherwise, false.</returns>
public static bool operator >=(Half half1, Half half2) { return (half1 == half2) || (half1 > half2); }
#endregion
#region Type casting operators
/// <summary>
/// Converts an 8-bit unsigned integer to a System.Half.
/// </summary>
/// <param name="value">An 8-bit unsigned integer.</param>
/// <returns>A System.Half that represents the converted 8-bit unsigned integer.</returns>
public static implicit operator Half(byte value) { return new Half((float)value); }
/// <summary>
/// Converts a 16-bit signed integer to a System.Half.
/// </summary>
/// <param name="value">A 16-bit signed integer.</param>
/// <returns>A System.Half that represents the converted 16-bit signed integer.</returns>
public static implicit operator Half(short value) { return new Half((float)value); }
/// <summary>
/// Converts a Unicode character to a System.Half.
/// </summary>
/// <param name="value">A Unicode character.</param>
/// <returns>A System.Half that represents the converted Unicode character.</returns>
public static implicit operator Half(char value) { return new Half((float)value); }
/// <summary>
/// Converts a 32-bit signed integer to a System.Half.
/// </summary>
/// <param name="value">A 32-bit signed integer.</param>
/// <returns>A System.Half that represents the converted 32-bit signed integer.</returns>
public static implicit operator Half(int value) { return new Half((float)value); }
/// <summary>
/// Converts a 64-bit signed integer to a System.Half.
/// </summary>
/// <param name="value">A 64-bit signed integer.</param>
/// <returns>A System.Half that represents the converted 64-bit signed integer.</returns>
public static implicit operator Half(long value) { return new Half((float)value); }
/// <summary>
/// Converts a single-precision floating-point number to a System.Half.
/// </summary>
/// <param name="value">A single-precision floating-point number.</param>
/// <returns>A System.Half that represents the converted single-precision floating point number.</returns>
public static explicit operator Half(float value) { return new Half(value); }
/// <summary>
/// Converts a double-precision floating-point number to a System.Half.
/// </summary>
/// <param name="value">A double-precision floating-point number.</param>
/// <returns>A System.Half that represents the converted double-precision floating point number.</returns>
public static explicit operator Half(double value) { return new Half((float)value); }
/// <summary>
/// Converts a decimal number to a System.Half.
/// </summary>
/// <param name="value">decimal number</param>
/// <returns>A System.Half that represents the converted decimal number.</returns>
public static explicit operator Half(decimal value) { return new Half((float)value); }
/// <summary>
/// Converts a System.Half to an 8-bit unsigned integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>An 8-bit unsigned integer that represents the converted System.Half.</returns>
public static explicit operator byte (Half value) { return (byte)(float)value; }
/// <summary>
/// Converts a System.Half to a Unicode character.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A Unicode character that represents the converted System.Half.</returns>
public static explicit operator char (Half value) { return (char)(float)value; }
/// <summary>
/// Converts a System.Half to a 16-bit signed integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 16-bit signed integer that represents the converted System.Half.</returns>
public static explicit operator short (Half value) { return (short)(float)value; }
/// <summary>
/// Converts a System.Half to a 32-bit signed integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 32-bit signed integer that represents the converted System.Half.</returns>
public static explicit operator int (Half value) { return (int)(float)value; }
/// <summary>
/// Converts a System.Half to a 64-bit signed integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 64-bit signed integer that represents the converted System.Half.</returns>
public static explicit operator long (Half value) { return (long)(float)value; }
/// <summary>
/// Converts a System.Half to a single-precision floating-point number.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A single-precision floating-point number that represents the converted System.Half.</returns>
public static implicit operator float (Half value) { return HalfHelper.HalfToSingle(value); }
/// <summary>
/// Converts a System.Half to a double-precision floating-point number.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A double-precision floating-point number that represents the converted System.Half.</returns>
public static implicit operator double (Half value) { return (float)value; }
/// <summary>
/// Converts a System.Half to a decimal number.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A decimal number that represents the converted System.Half.</returns>
public static explicit operator decimal (Half value) { return (decimal)(float)value; }
/// <summary>
/// Converts an 8-bit signed integer to a System.Half.
/// </summary>
/// <param name="value">An 8-bit signed integer.</param>
/// <returns>A System.Half that represents the converted 8-bit signed integer.</returns>
public static implicit operator Half(sbyte value) { return new Half((float)value); }
/// <summary>
/// Converts a 16-bit unsigned integer to a System.Half.
/// </summary>
/// <param name="value">A 16-bit unsigned integer.</param>
/// <returns>A System.Half that represents the converted 16-bit unsigned integer.</returns>
public static implicit operator Half(ushort value) { return new Half((float)value); }
/// <summary>
/// Converts a 32-bit unsigned integer to a System.Half.
/// </summary>
/// <param name="value">A 32-bit unsigned integer.</param>
/// <returns>A System.Half that represents the converted 32-bit unsigned integer.</returns>
public static implicit operator Half(uint value) { return new Half((float)value); }
/// <summary>
/// Converts a 64-bit unsigned integer to a System.Half.
/// </summary>
/// <param name="value">A 64-bit unsigned integer.</param>
/// <returns>A System.Half that represents the converted 64-bit unsigned integer.</returns>
public static implicit operator Half(ulong value) { return new Half((float)value); }
/// <summary>
/// Converts a System.Half to an 8-bit signed integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>An 8-bit signed integer that represents the converted System.Half.</returns>
public static explicit operator sbyte (Half value) { return (sbyte)(float)value; }
/// <summary>
/// Converts a System.Half to a 16-bit unsigned integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 16-bit unsigned integer that represents the converted System.Half.</returns>
public static explicit operator ushort (Half value) { return (ushort)(float)value; }
/// <summary>
/// Converts a System.Half to a 32-bit unsigned integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 32-bit unsigned integer that represents the converted System.Half.</returns>
public static explicit operator uint (Half value) { return (uint)(float)value; }
/// <summary>
/// Converts a System.Half to a 64-bit unsigned integer.
/// </summary>
/// <param name="value">A System.Half to convert.</param>
/// <returns>A 64-bit unsigned integer that represents the converted System.Half.</returns>
public static explicit operator ulong (Half value) { return (ulong)(float)value; }
#endregion
/// <summary>
/// Compares this instance to a specified System.Half object.
/// </summary>
/// <param name="other">A System.Half object.</param>
/// <returns>
/// A signed number indicating the relative values of this instance and value.
/// Return Value Meaning Less than zero This instance is less than value. Zero
/// This instance is equal to value. Greater than zero This instance is greater than value.
/// </returns>
public int CompareTo(Half other)
{
int result = 0;
if (this < other)
{
result = -1;
}
else if (this > other)
{
result = 1;
}
else if (this != other)
{
if (!IsNaN(this))
{
result = 1;
}
else if (!IsNaN(other))
{
result = -1;
}
}
return result;
}
/// <summary>
/// Compares this instance to a specified System.Object.
/// </summary>
/// <param name="obj">An System.Object or null.</param>
/// <returns>
/// A signed number indicating the relative values of this instance and value.
/// Return Value Meaning Less than zero This instance is less than value. Zero
/// This instance is equal to value. Greater than zero This instance is greater
/// than value. -or- value is null.
/// </returns>
/// <exception cref="System.ArgumentException">value is not a System.Half</exception>
public int CompareTo(object obj)
{
int result = 0;
if (obj == null)
{
result = 1;
}
else
{
if (obj is Half)
{
result = CompareTo((Half)obj);
}
else
{
throw new ArgumentException("Object must be of type Half.");
}
}
return result;
}
/// <summary>
/// Returns a value indicating whether this instance and a specified System.Half object represent the same value.
/// </summary>
/// <param name="other">A System.Half object to compare to this instance.</param>
/// <returns>true if value is equal to this instance; otherwise, false.</returns>
public bool Equals(Half other)
{
return ((other == this) || (IsNaN(other) && IsNaN(this)));
}
/// <summary>
/// Returns a value indicating whether this instance and a specified System.Object
/// represent the same type and value.
/// </summary>
/// <param name="obj">An System.Object.</param>
/// <returns>true if value is a System.Half and equal to this instance; otherwise, false.</returns>
public override bool Equals(object obj)
{
bool result = false;
if (obj is Half)
{
Half half = (Half)obj;
if ((half == this) || (IsNaN(half) && IsNaN(this)))
{
result = true;
}
}
return result;
}
/// <summary>
/// Returns the hash code for this instance.
/// </summary>
/// <returns>A 32-bit signed integer hash code.</returns>
public override int GetHashCode()
{
return Value.GetHashCode();
}
/// <summary>
/// Returns the System.TypeCode for value type System.Half.
/// </summary>
/// <returns>The enumerated constant (TypeCode)255.</returns>
public TypeCode GetTypeCode()
{
return (TypeCode)255;
}
#region BitConverter & Math methods for Half
/// <summary>
/// Returns the specified half-precision floating point value as an array of bytes.
/// </summary>
/// <param name="value">The number to convert.</param>
/// <returns>An array of bytes with length 2.</returns>
public static byte[] GetBytes(Half value)
{
return BitConverter.GetBytes(value.Value);
}
/// <summary>
/// Converts the value of a specified instance of System.Half to its equivalent binary representation.
/// </summary>
/// <param name="value">A System.Half value.</param>
/// <returns>A 16-bit unsigned integer that contain the binary representation of value.</returns>
public static ushort GetBits(Half value)
{
return value.Value;
}
/// <summary>
/// Returns a half-precision floating point number converted from two bytes
/// at a specified position in a byte array.
/// </summary>
/// <param name="value">An array of bytes.</param>
/// <param name="startIndex">The starting position within value.</param>
/// <returns>A half-precision floating point number formed by two bytes beginning at startIndex.</returns>
/// <exception cref="System.ArgumentException">
/// startIndex is greater than or equal to the length of value minus 1, and is
/// less than or equal to the length of value minus 1.
/// </exception>
/// <exception cref="System.ArgumentNullException">value is null.</exception>
/// <exception cref="System.ArgumentOutOfRangeException">startIndex is less than zero or greater than the length of value minus 1.</exception>
public static Half ToHalf(byte[] value, int startIndex)
{
return ToHalf((ushort)BitConverter.ToInt16(value, startIndex));
}
/// <summary>
/// Returns a half-precision floating point number converted from its binary representation.
/// </summary>
/// <param name="bits">Binary representation of System.Half value</param>
/// <returns>A half-precision floating point number formed by its binary representation.</returns>
public static Half ToHalf(ushort bits)
{
return new Half { Value = bits };
}
/// <summary>
/// Returns a value indicating the sign of a half-precision floating-point number.
/// </summary>
/// <param name="value">A signed number.</param>
/// <returns>
/// A number indicating the sign of value. Number Description -1 value is less
/// than zero. 0 value is equal to zero. 1 value is greater than zero.
/// </returns>
/// <exception cref="System.ArithmeticException">value is equal to System.Half.NaN.</exception>
public static int Sign(Half value)
{
if (value < 0)
{
return -1;
}
else if (value > 0)
{
return 1;
}
else
{
if (value != 0)
{
throw new ArithmeticException("Function does not accept floating point Not-a-Number values.");
}
}
return 0;
}
/// <summary>
/// Returns the absolute value of a half-precision floating-point number.
/// </summary>
/// <param name="value">A number in the range System.Half.MinValue ≤ value ≤ System.Half.MaxValue.</param>
/// <returns>A half-precision floating-point number, x, such that 0 ≤ x ≤System.Half.MaxValue.</returns>
public static Half Abs(Half value)
{
return HalfHelper.Abs(value);
}
/// <summary>
/// Returns the larger of two half-precision floating-point numbers.
/// </summary>
/// <param name="value1">The first of two half-precision floating-point numbers to compare.</param>
/// <param name="value2">The second of two half-precision floating-point numbers to compare.</param>
/// <returns>
/// Parameter value1 or value2, whichever is larger. If value1, or value2, or both val1
/// and value2 are equal to System.Half.NaN, System.Half.NaN is returned.
/// </returns>
public static Half Max(Half value1, Half value2)
{
return (value1 < value2) ? value2 : value1;
}
/// <summary>
/// Returns the smaller of two half-precision floating-point numbers.
/// </summary>
/// <param name="value1">The first of two half-precision floating-point numbers to compare.</param>
/// <param name="value2">The second of two half-precision floating-point numbers to compare.</param>
/// <returns>
/// Parameter value1 or value2, whichever is smaller. If value1, or value2, or both val1
/// and value2 are equal to System.Half.NaN, System.Half.NaN is returned.
/// </returns>
public static Half Min(Half value1, Half value2)
{
return (value1 < value2) ? value1 : value2;
}
#endregion
/// <summary>
/// Returns a value indicating whether the specified number evaluates to not a number (System.Half.NaN).
/// </summary>
/// <param name="half">A half-precision floating-point number.</param>
/// <returns>true if value evaluates to not a number (System.Half.NaN); otherwise, false.</returns>
public static bool IsNaN(Half half)
{
return HalfHelper.IsNaN(half);
}
/// <summary>
/// Returns a value indicating whether the specified number evaluates to negative or positive infinity.
/// </summary>
/// <param name="half">A half-precision floating-point number.</param>
/// <returns>true if half evaluates to System.Half.PositiveInfinity or System.Half.NegativeInfinity; otherwise, false.</returns>
public static bool IsInfinity(Half half)
{
return HalfHelper.IsInfinity(half);
}
/// <summary>
/// Returns a value indicating whether the specified number evaluates to negative infinity.
/// </summary>
/// <param name="half">A half-precision floating-point number.</param>
/// <returns>true if half evaluates to System.Half.NegativeInfinity; otherwise, false.</returns>
public static bool IsNegativeInfinity(Half half)
{
return HalfHelper.IsNegativeInfinity(half);
}
/// <summary>
/// Returns a value indicating whether the specified number evaluates to positive infinity.
/// </summary>
/// <param name="half">A half-precision floating-point number.</param>
/// <returns>true if half evaluates to System.Half.PositiveInfinity; otherwise, false.</returns>
public static bool IsPositiveInfinity(Half half)
{
return HalfHelper.IsPositiveInfinity(half);
}
#region String operations (Parse and ToString)
/// <summary>
/// Converts the string representation of a number to its System.Half equivalent.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <returns>The System.Half number equivalent to the number contained in value.</returns>
/// <exception cref="System.ArgumentNullException">value is null.</exception>
/// <exception cref="System.FormatException">value is not in the correct format.</exception>
/// <exception cref="System.OverflowException">value represents a number less than System.Half.MinValue or greater than System.Half.MaxValue.</exception>
public static Half Parse(string value)
{
return (Half)float.Parse(value, CultureInfo.InvariantCulture);
}
/// <summary>
/// Converts the string representation of a number to its System.Half equivalent
/// using the specified culture-specific format information.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <param name="provider">An System.IFormatProvider that supplies culture-specific parsing information about value.</param>
/// <returns>The System.Half number equivalent to the number contained in s as specified by provider.</returns>
/// <exception cref="System.ArgumentNullException">value is null.</exception>
/// <exception cref="System.FormatException">value is not in the correct format.</exception>
/// <exception cref="System.OverflowException">value represents a number less than System.Half.MinValue or greater than System.Half.MaxValue.</exception>
public static Half Parse(string value, IFormatProvider provider)
{
return (Half)float.Parse(value, provider);
}
/// <summary>
/// Converts the string representation of a number in a specified style to its System.Half equivalent.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <param name="style">
/// A bitwise combination of System.Globalization.NumberStyles values that indicates
/// the style elements that can be present in value. A typical value to specify is
/// System.Globalization.NumberStyles.Number.
/// </param>
/// <returns>The System.Half number equivalent to the number contained in s as specified by style.</returns>
/// <exception cref="System.ArgumentNullException">value is null.</exception>
/// <exception cref="System.ArgumentException">
/// style is not a System.Globalization.NumberStyles value. -or- style is the
/// System.Globalization.NumberStyles.AllowHexSpecifier value.
/// </exception>
/// <exception cref="System.FormatException">value is not in the correct format.</exception>
/// <exception cref="System.OverflowException">value represents a number less than System.Half.MinValue or greater than System.Half.MaxValue.</exception>
public static Half Parse(string value, NumberStyles style)
{
return (Half)float.Parse(value, style, CultureInfo.InvariantCulture);
}
/// <summary>
/// Converts the string representation of a number to its System.Half equivalent
/// using the specified style and culture-specific format.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <param name="style">
/// A bitwise combination of System.Globalization.NumberStyles values that indicates
/// the style elements that can be present in value. A typical value to specify is
/// System.Globalization.NumberStyles.Number.
/// </param>
/// <param name="provider">An System.IFormatProvider object that supplies culture-specific information about the format of value.</param>
/// <returns>The System.Half number equivalent to the number contained in s as specified by style and provider.</returns>
/// <exception cref="System.ArgumentNullException">value is null.</exception>
/// <exception cref="System.ArgumentException">
/// style is not a System.Globalization.NumberStyles value. -or- style is the
/// System.Globalization.NumberStyles.AllowHexSpecifier value.
/// </exception>
/// <exception cref="System.FormatException">value is not in the correct format.</exception>
/// <exception cref="System.OverflowException">value represents a number less than System.Half.MinValue or greater than System.Half.MaxValue.</exception>
public static Half Parse(string value, NumberStyles style, IFormatProvider provider)
{
return (Half)float.Parse(value, style, provider);
}
/// <summary>
/// Converts the string representation of a number to its System.Half equivalent.
/// A return value indicates whether the conversion succeeded or failed.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <param name="result">
/// When this method returns, contains the System.Half number that is equivalent
/// to the numeric value contained in value, if the conversion succeeded, or is zero
/// if the conversion failed. The conversion fails if the s parameter is null,
/// is not a number in a valid format, or represents a number less than System.Half.MinValue
/// or greater than System.Half.MaxValue. This parameter is passed uninitialized.
/// </param>
/// <returns>true if s was converted successfully; otherwise, false.</returns>
public static bool TryParse(string value, out Half result)
{
float f;
if (float.TryParse(value, out f))
{
result = (Half)f;
return true;
}
result = new Half();
return false;
}
/// <summary>
/// Converts the string representation of a number to its System.Half equivalent
/// using the specified style and culture-specific format. A return value indicates
/// whether the conversion succeeded or failed.
/// </summary>
/// <param name="value">The string representation of the number to convert.</param>
/// <param name="style">
/// A bitwise combination of System.Globalization.NumberStyles values that indicates
/// the permitted format of value. A typical value to specify is System.Globalization.NumberStyles.Number.
/// </param>
/// <param name="provider">An System.IFormatProvider object that supplies culture-specific parsing information about value.</param>
/// <param name="result">
/// When this method returns, contains the System.Half number that is equivalent
/// to the numeric value contained in value, if the conversion succeeded, or is zero
/// if the conversion failed. The conversion fails if the s parameter is null,
/// is not in a format compliant with style, or represents a number less than
/// System.Half.MinValue or greater than System.Half.MaxValue. This parameter is passed uninitialized.
/// </param>
/// <returns>true if s was converted successfully; otherwise, false.</returns>
/// <exception cref="System.ArgumentException">
/// style is not a System.Globalization.NumberStyles value. -or- style
/// is the System.Globalization.NumberStyles.AllowHexSpecifier value.
/// </exception>
public static bool TryParse(string value, NumberStyles style, IFormatProvider provider, out Half result)
{
bool parseResult = false;
float f;
if (float.TryParse(value, style, provider, out f))
{
result = (Half)f;
parseResult = true;
}
else
{
result = new Half();
}
return parseResult;
}
/// <summary>
/// Converts the numeric value of this instance to its equivalent string representation.
/// </summary>
/// <returns>A string that represents the value of this instance.</returns>
public override string ToString()
{
return ((float)this).ToString(CultureInfo.InvariantCulture);
}
/// <summary>
/// Converts the numeric value of this instance to its equivalent string representation
/// using the specified culture-specific format information.
/// </summary>
/// <param name="formatProvider">An System.IFormatProvider that supplies culture-specific formatting information.</param>
/// <returns>The string representation of the value of this instance as specified by provider.</returns>
public string ToString(IFormatProvider formatProvider)
{
return ((float)this).ToString(formatProvider);
}
/// <summary>
/// Converts the numeric value of this instance to its equivalent string representation, using the specified format.
/// </summary>
/// <param name="format">A numeric format string.</param>
/// <returns>The string representation of the value of this instance as specified by format.</returns>
public string ToString(string format)
{
return ((float)this).ToString(format, CultureInfo.InvariantCulture);
}
/// <summary>
/// Converts the numeric value of this instance to its equivalent string representation
/// using the specified format and culture-specific format information.
/// </summary>
/// <param name="format">A numeric format string.</param>
/// <param name="formatProvider">An System.IFormatProvider that supplies culture-specific formatting information.</param>
/// <returns>The string representation of the value of this instance as specified by format and provider.</returns>
/// <exception cref="System.FormatException">format is invalid.</exception>
public string ToString(string format, IFormatProvider formatProvider)
{
return ((float)this).ToString(format, formatProvider);
}
#endregion
#region IConvertible Members
float IConvertible.ToSingle(IFormatProvider provider)
{
return this;
}
TypeCode IConvertible.GetTypeCode()
{
return GetTypeCode();
}
bool IConvertible.ToBoolean(IFormatProvider provider)
{
return Convert.ToBoolean(this);
}
byte IConvertible.ToByte(IFormatProvider provider)
{
return Convert.ToByte(this);
}
char IConvertible.ToChar(IFormatProvider provider)
{
throw new InvalidCastException(string.Format(CultureInfo.CurrentCulture, "Invalid cast from '{0}' to '{1}'.", "Half", "Char"));
}
DateTime IConvertible.ToDateTime(IFormatProvider provider)
{
throw new InvalidCastException(string.Format(CultureInfo.CurrentCulture, "Invalid cast from '{0}' to '{1}'.", "Half", "DateTime"));
}
decimal IConvertible.ToDecimal(IFormatProvider provider)
{
return Convert.ToDecimal(this);
}
double IConvertible.ToDouble(IFormatProvider provider)
{
return Convert.ToDouble(this);
}
short IConvertible.ToInt16(IFormatProvider provider)
{
return Convert.ToInt16(this);
}
int IConvertible.ToInt32(IFormatProvider provider)
{
return Convert.ToInt32(this);
}
long IConvertible.ToInt64(IFormatProvider provider)
{
return Convert.ToInt64(this);
}
sbyte IConvertible.ToSByte(IFormatProvider provider)
{
return Convert.ToSByte(this);
}
string IConvertible.ToString(IFormatProvider provider)
{
return Convert.ToString(this, CultureInfo.InvariantCulture);
}
object IConvertible.ToType(Type conversionType, IFormatProvider provider)
{
return (((float)this) as IConvertible).ToType(conversionType, provider);
}
ushort IConvertible.ToUInt16(IFormatProvider provider)
{
return Convert.ToUInt16(this);
}
uint IConvertible.ToUInt32(IFormatProvider provider)
{
return Convert.ToUInt32(this);
}
ulong IConvertible.ToUInt64(IFormatProvider provider)
{
return Convert.ToUInt64(this);
}
#endregion
}
}
/// ================ HalfHelper.cs ====================
namespace SystemHalf
{
/// <summary>
/// Helper class for Half conversions and some low level operations.
/// This class is internally used in the Half class.
/// </summary>
/// <remarks>
/// References:
/// - Code retrieved from http://sourceforge.net/p/csharp-half/code/HEAD/tree/ on 2015-12-04
/// - Fast Half Float Conversions, Jeroen van der Zijp, link: http://www.fox-toolkit.org/ftp/fasthalffloatconversion.pdf
/// </remarks>
internal static class HalfHelper
{
private static readonly uint[] MantissaTable = GenerateMantissaTable();
private static readonly uint[] ExponentTable = GenerateExponentTable();
private static readonly ushort[] OffsetTable = GenerateOffsetTable();
private static readonly ushort[] BaseTable = GenerateBaseTable();
private static readonly sbyte[] ShiftTable = GenerateShiftTable();
// Transforms the subnormal representation to a normalized one.
private static uint ConvertMantissa(int i)
{
uint m = (uint)(i << 13); // Zero pad mantissa bits
uint e = 0; // Zero exponent
// While not normalized
while ((m & 0x00800000) == 0)
{
e -= 0x00800000; // Decrement exponent (1<<23)
m <<= 1; // Shift mantissa
}
m &= unchecked((uint)~0x00800000); // Clear leading 1 bit
e += 0x38800000; // Adjust bias ((127-14)<<23)
return m | e; // Return combined number
}
private static uint[] GenerateMantissaTable()
{
uint[] mantissaTable = new uint[2048];
mantissaTable[0] = 0;
for (int i = 1; i < 1024; i++)
{
mantissaTable[i] = ConvertMantissa(i);
}
for (int i = 1024; i < 2048; i++)
{
mantissaTable[i] = (uint)(0x38000000 + ((i - 1024) << 13));
}
return mantissaTable;
}
private static uint[] GenerateExponentTable()
{
uint[] exponentTable = new uint[64];
exponentTable[0] = 0;
for (int i = 1; i < 31; i++)
{
exponentTable[i] = (uint)(i << 23);
}
exponentTable[31] = 0x47800000;
exponentTable[32] = 0x80000000;
for (int i = 33; i < 63; i++)
{
exponentTable[i] = (uint)(0x80000000 + ((i - 32) << 23));
}
exponentTable[63] = 0xc7800000;
return exponentTable;
}
private static ushort[] GenerateOffsetTable()
{
ushort[] offsetTable = new ushort[64];
offsetTable[0] = 0;
for (int i = 1; i < 32; i++)
{
offsetTable[i] = 1024;
}
offsetTable[32] = 0;
for (int i = 33; i < 64; i++)
{
offsetTable[i] = 1024;
}
return offsetTable;
}
private static ushort[] GenerateBaseTable()
{
ushort[] baseTable = new ushort[512];
for (int i = 0; i < 256; ++i)
{
sbyte e = (sbyte)(127 - i);
if (e > 24)
{ // Very small numbers map to zero
baseTable[i | 0x000] = 0x0000;
baseTable[i | 0x100] = 0x8000;
}
else if (e > 14)
{ // Small numbers map to denorms
baseTable[i | 0x000] = (ushort)(0x0400 >> (18 + e));
baseTable[i | 0x100] = (ushort)((0x0400 >> (18 + e)) | 0x8000);
}
else if (e >= -15)
{ // Normal numbers just lose precision
baseTable[i | 0x000] = (ushort)((15 - e) << 10);
baseTable[i | 0x100] = (ushort)(((15 - e) << 10) | 0x8000);
}
else if (e > -128)
{ // Large numbers map to Infinity
baseTable[i | 0x000] = 0x7c00;
baseTable[i | 0x100] = 0xfc00;
}
else
{ // Infinity and NaN's stay Infinity and NaN's
baseTable[i | 0x000] = 0x7c00;
baseTable[i | 0x100] = 0xfc00;
}
}
return baseTable;
}
private static sbyte[] GenerateShiftTable()
{
sbyte[] shiftTable = new sbyte[512];
for (int i = 0; i < 256; ++i)
{
sbyte e = (sbyte)(127 - i);
if (e > 24)
{ // Very small numbers map to zero
shiftTable[i | 0x000] = 24;
shiftTable[i | 0x100] = 24;
}
else if (e > 14)
{ // Small numbers map to denorms
shiftTable[i | 0x000] = (sbyte)(e - 1);
shiftTable[i | 0x100] = (sbyte)(e - 1);
}
else if (e >= -15)
{ // Normal numbers just lose precision
shiftTable[i | 0x000] = 13;
shiftTable[i | 0x100] = 13;
}
else if (e > -128)
{ // Large numbers map to Infinity
shiftTable[i | 0x000] = 24;
shiftTable[i | 0x100] = 24;
}
else
{ // Infinity and NaN's stay Infinity and NaN's
shiftTable[i | 0x000] = 13;
shiftTable[i | 0x100] = 13;
}
}
return shiftTable;
}
public static unsafe float HalfToSingle(Half half)
{
uint result = MantissaTable[OffsetTable[half.Value >> 10] + (half.Value & 0x3ff)] + ExponentTable[half.Value >> 10];
return *(float*)&result;
}
public static unsafe Half SingleToHalf(float single)
{
uint value = *(uint*)&single;
ushort result = (ushort)(BaseTable[(value >> 23) & 0x1ff] + ((value & 0x007fffff) >> ShiftTable[value >> 23]));
return Half.ToHalf(result);
}
public static Half Negate(Half half)
{
return Half.ToHalf((ushort)(half.Value ^ 0x8000));
}
public static Half Abs(Half half)
{
return Half.ToHalf((ushort)(half.Value & 0x7fff));
}
public static bool IsNaN(Half half)
{
return (half.Value & 0x7fff) > 0x7c00;
}
public static bool IsInfinity(Half half)
{
return (half.Value & 0x7fff) == 0x7c00;
}
public static bool IsPositiveInfinity(Half half)
{
return half.Value == 0x7c00;
}
public static bool IsNegativeInfinity(Half half)
{
return half.Value == 0xfc00;
}
}
}
/// ================ half_tests.cs ====================
using System;
using System.Globalization;
using System.Threading;
using Envision.Evaluation.Distributions;
using NUnit.Framework;
namespace SystemHalf.Tests
{
[TestFixture]
public sealed class half_tests
{
//[TestFixtureSetUp()]
//public static void HalfTestInitialize(TestContext testContext)
//{
// Thread.CurrentThread.CurrentCulture = new CultureInfo("en-US");
//}
//[Test]
//public unsafe void TestAllPossibleHalfValues()
//{
// for (ushort i = ushort.MinValue; i < ushort.MaxValue; i++)
// {
// Half half1 = Half.ToHalf(i);
// Half half2 = (Half)((float)half1);
// Assert.IsTrue(half1.Equals(half2));
// }
//}
/// <summary>
///A test for TryParse
///</summary>
[Test]
public void try_parse_test1()
{
Thread.CurrentThread.CurrentCulture = new CultureInfo("cs-CZ");
string value = "1234,567e-2";
float resultExpected = (float)12.34567f;
bool expected = true;
float result;
bool actual = float.TryParse(value, out result);
Assert.AreEqual(resultExpected, result);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for TryParse
///</summary>
[Test]
public void try_parse_test()
{
string value = "777";
NumberStyles style = NumberStyles.None;
IFormatProvider provider = CultureInfo.InvariantCulture;
Half result;
Half resultExpected = (Half)777f;
bool expected = true;
bool actual = Half.TryParse(value, style, provider, out result);
Assert.AreEqual(resultExpected, result);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToString
///</summary>
[Test]
public void to_string_test4()
{
Half target = Half.Epsilon;
string format = "e";
string expected = "5.960464e-008";
string actual = target.ToString(format);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToString
///</summary>
[Test]
public void to_string_test3()
{
Half target = (Half)333.333f;
string format = "G";
IFormatProvider formatProvider = CultureInfo.CreateSpecificCulture("cs-CZ");
string expected = "333,25";
string actual = target.ToString(format, formatProvider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToString
///</summary>
[Test]
public void to_string_test2()
{
Half target = (Half)0.001f;
IFormatProvider formatProvider = CultureInfo.CreateSpecificCulture("cs-CZ");
string expected = "0,0009994507";
string actual = target.ToString(formatProvider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToString
///</summary>
[Test]
public void to_string_test1()
{
Half target = (Half)10000.00001f;
string expected = "10000";
string actual = target.ToString();
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToHalf
///</summary>
[Test]
public void to_half_test1()
{
byte[] value = { 0x11, 0x22, 0x33, 0x44 };
int startIndex = 1;
Half expected = Half.ToHalf(0x3322);
Half actual = Half.ToHalf(value, startIndex);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for ToHalf
///</summary>
[Test]
public void to_half_test()
{
ushort bits = 0x3322;
Half expected = (Half)0.2229004f;
Half actual = Half.ToHalf(bits);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToUInt64
///</summary>
[Test]
public void to_u_int64_test()
{
IConvertible target = (Half)12345.999f;
IFormatProvider provider = CultureInfo.InvariantCulture;
ulong expected = 12344;
ulong actual = target.ToUInt64(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToUInt32
///</summary>
[Test]
public void to_u_int32_test()
{
IConvertible target = (Half)9999;
IFormatProvider provider = CultureInfo.InvariantCulture;
uint expected = 9992;
uint actual = target.ToUInt32(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToUInt16
///</summary>
[Test]
public void to_u_int16_test()
{
IConvertible target = (Half)33.33;
IFormatProvider provider = CultureInfo.InvariantCulture;
ushort expected = 33;
ushort actual = target.ToUInt16(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToType
///</summary>
[Test]
public void to_type_test()
{
IConvertible target = (Half)111.111f;
Type conversionType = typeof(double);
IFormatProvider provider = CultureInfo.InvariantCulture;
object expected = 111.0625;
object actual = target.ToType(conversionType, provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToString
///</summary>
[Test]
public void to_string_test()
{
IConvertible target = (Half)888.888;
IFormatProvider provider = CultureInfo.InvariantCulture;
string expected = "888.5";
string actual = target.ToString(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToSingle
///</summary>
[Test]
public void to_single_test()
{
IConvertible target = (Half)55.77f;
IFormatProvider provider = CultureInfo.InvariantCulture;
float expected = 55.75f;
float actual = target.ToSingle(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToSByte
///</summary>
[Test]
public void to_s_byte_test()
{
IConvertible target = 123.5678f;
IFormatProvider provider = CultureInfo.InvariantCulture;
sbyte expected = 124;
sbyte actual = target.ToSByte(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToInt64
///</summary>
[Test]
public void to_int64_test()
{
IConvertible target = (Half)8562;
IFormatProvider provider = CultureInfo.InvariantCulture;
long expected = 8560;
long actual = target.ToInt64(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToInt32
///</summary>
[Test]
public void to_int32_test()
{
IConvertible target = (Half)555.5;
IFormatProvider provider = CultureInfo.InvariantCulture;
int expected = 556;
int actual = target.ToInt32(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToInt16
///</summary>
[Test]
public void to_int16_test()
{
IConvertible target = (Half)365;
IFormatProvider provider = CultureInfo.InvariantCulture;
short expected = 365;
short actual = target.ToInt16(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToChar
///</summary>
[Test]
public void to_char_test()
{
IConvertible target = (Half)64UL;
IFormatProvider provider = CultureInfo.InvariantCulture;
try
{
char actual = target.ToChar(provider);
Assert.Fail();
}
catch (InvalidCastException) { }
}
/// <summary>
///A test for System.IConvertible.ToDouble
///</summary>
[Test]
public void to_double_test()
{
IConvertible target = Half.MaxValue;
IFormatProvider provider = CultureInfo.InvariantCulture;
double expected = 65504;
double actual = target.ToDouble(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToDecimal
///</summary>
[Test]
public void to_decimal_test()
{
IConvertible target = (Half)146.33f;
IFormatProvider provider = CultureInfo.InvariantCulture;
Decimal expected = new Decimal(146.25f);
Decimal actual = target.ToDecimal(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToDateTime
///</summary>
[Test]
public void to_date_time_test()
{
IConvertible target = (Half)0;
IFormatProvider provider = CultureInfo.InvariantCulture;
try
{
DateTime actual = target.ToDateTime(provider);
Assert.Fail();
}
catch (InvalidCastException) { }
}
/// <summary>
///A test for System.IConvertible.ToByte
///</summary>
[Test]
public void to_byte_test()
{
IConvertible target = (Half)111;
IFormatProvider provider = CultureInfo.InvariantCulture;
byte expected = 111;
byte actual = target.ToByte(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.ToBoolean
///</summary>
[Test]
public void to_boolean_test()
{
IConvertible target = (Half)77;
IFormatProvider provider = CultureInfo.InvariantCulture;
bool expected = true;
bool actual = target.ToBoolean(provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for System.IConvertible.GetTypeCode
///</summary>
[Test]
public void get_type_code_test1()
{
IConvertible target = (Half)33;
TypeCode expected = (TypeCode)255;
TypeCode actual = target.GetTypeCode();
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Subtract
///</summary>
[Test]
public void subtract_test()
{
Half half1 = (Half)1.12345f;
Half half2 = (Half)0.01234f;
Half expected = (Half)1.11111f;
Half actual = Half.Subtract(half1, half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Sign
///</summary>
[Test]
public void sign_test()
{
Assert.AreEqual(1, Half.Sign((Half)333.5));
Assert.AreEqual(1, Half.Sign(10));
Assert.AreEqual(-1, Half.Sign((Half)(-333.5)));
Assert.AreEqual(-1, Half.Sign(-10));
Assert.AreEqual(0, Half.Sign(0));
}
/// <summary>
///A test for Parse
///</summary>
[Test]
public void parse_test3()
{
string value = "112,456e-1";
IFormatProvider provider = new CultureInfo("cs-CZ");
Half expected = (Half)11.2456;
Half actual = Half.Parse(value, provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Parse
///</summary>
[Test]
public void parse_test2()
{
string value = "55.55";
Half expected = (Half)55.55;
Half actual = Half.Parse(value);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Parse
///</summary>
[Test]
public void parse_test1()
{
string value = "-1.063E-02";
NumberStyles style = NumberStyles.AllowExponent | NumberStyles.Number;
IFormatProvider provider = CultureInfo.CreateSpecificCulture("en-US");
Half expected = (Half)(-0.01062775);
Half actual = Half.Parse(value, style, provider);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Parse
///</summary>
[Test]
public void parse_test()
{
string value = "-7";
NumberStyles style = NumberStyles.Number;
Half expected = (Half)(-7);
Half actual = Half.Parse(value, style);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_UnaryPlus
///</summary>
[Test]
public void op_UnaryPlusTest()
{
Half half = (Half)77;
Half expected = (Half)77;
Half actual = +(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_UnaryNegation
///</summary>
[Test]
public void op_UnaryNegationTest()
{
Half half = (Half)77;
Half expected = (Half)(-77);
Half actual = -(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Subtraction
///</summary>
[Test]
public void op_SubtractionTest()
{
Half half1 = (Half)77.99;
Half half2 = (Half)17.88;
Half expected = (Half)60.0625;
Half actual = (half1 - half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Multiply
///</summary>
[Test]
public void op_MultiplyTest()
{
Half half1 = (Half)11.1;
Half half2 = (Half)5;
Half expected = (Half)55.46879;
Half actual = (half1 * half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_LessThanOrEqual
///</summary>
[Test]
public void op_LessThanOrEqualTest()
{
{
Half half1 = (Half)111;
Half half2 = (Half)120;
bool expected = true;
bool actual = (half1 <= half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = (Half)111;
Half half2 = (Half)111;
bool expected = true;
bool actual = (half1 <= half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_LessThan
///</summary>
[Test]
public void op_LessThanTest()
{
{
Half half1 = (Half)111;
Half half2 = (Half)120;
bool expected = true;
bool actual = (half1 <= half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = (Half)111;
Half half2 = (Half)111;
bool expected = true;
bool actual = (half1 <= half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_Inequality
///</summary>
[Test]
public void op_InequalityTest()
{
{
Half half1 = (Half)0;
Half half2 = (Half)1;
bool expected = true;
bool actual = (half1 != half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = Half.MaxValue;
Half half2 = Half.MaxValue;
bool expected = false;
bool actual = (half1 != half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_Increment
///</summary>
[Test]
public void op_IncrementTest()
{
Half half = (Half)125.33f;
Half expected = (Half)126.33f;
Half actual = ++(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest10()
{
Half value = (Half)55.55f;
float expected = 55.53125f;
float actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest9()
{
long value = 1295;
Half expected = (Half)1295;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest8()
{
sbyte value = -15;
Half expected = (Half)(-15);
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest7()
{
Half value = Half.Epsilon;
double expected = 5.9604644775390625e-8;
double actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest6()
{
short value = 15555;
Half expected = (Half)15552;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest5()
{
byte value = 77;
Half expected = (Half)77;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest4()
{
int value = 7777;
Half expected = (Half)7776;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest3()
{
char value = '@';
Half expected = 64;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest2()
{
ushort value = 546;
Half expected = 546;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest1()
{
ulong value = 123456UL;
Half expected = Half.PositiveInfinity;
Half actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Implicit
///</summary>
[Test]
public void op_ImplicitTest()
{
uint value = 728;
Half expected = 728;
Half actual;
actual = value;
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_GreaterThanOrEqual
///</summary>
[Test]
public void op_GreaterThanOrEqualTest()
{
{
Half half1 = (Half)111;
Half half2 = (Half)120;
bool expected = false;
bool actual = (half1 >= half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = (Half)111;
Half half2 = (Half)111;
bool expected = true;
bool actual = (half1 >= half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_GreaterThan
///</summary>
[Test]
public void op_GreaterThanTest()
{
{
Half half1 = (Half)111;
Half half2 = (Half)120;
bool expected = false;
bool actual = (half1 > half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = (Half)111;
Half half2 = (Half)111;
bool expected = false;
bool actual = (half1 > half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest12()
{
Half value = 1245;
uint expected = 1245;
uint actual = ((uint)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest11()
{
Half value = 3333;
ushort expected = 3332;
ushort actual = ((ushort)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest10()
{
float value = 0.1234f;
Half expected = (Half)0.1234f;
Half actual = ((Half)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest9()
{
Half value = 9777;
Decimal expected = 9776;
Decimal actual = ((Decimal)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest8()
{
Half value = (Half)5.5;
sbyte expected = 5;
sbyte actual = ((sbyte)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest7()
{
Half value = 666;
ulong expected = 666;
ulong actual = ((ulong)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest6()
{
double value = -666.66;
Half expected = (Half)(-666.66);
Half actual = ((Half)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest5()
{
Half value = (Half)33.3;
short expected = 33;
short actual = ((short)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest4()
{
Half value = 12345;
long expected = 12344;
long actual = ((long)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest3()
{
Half value = (Half)15.15;
int expected = 15;
int actual = ((int)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest2()
{
Decimal value = new Decimal(333.1);
Half expected = (Half)333.1;
Half actual = ((Half)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest1()
{
Half value = (Half)(-77);
byte expected = unchecked((byte)(-77));
byte actual = ((byte)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Explicit
///</summary>
[Test]
public void op_ExplicitTest()
{
Half value = 64;
char expected = '@';
char actual = ((char)(value));
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Equality
///</summary>
[Test]
public void op_EqualityTest()
{
{
Half half1 = Half.MaxValue;
Half half2 = Half.MaxValue;
bool expected = true;
bool actual = (half1 == half2);
Assert.AreEqual(expected, actual);
}
{
Half half1 = Half.NaN;
Half half2 = Half.NaN;
bool expected = false;
bool actual = (half1 == half2);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for op_Division
///</summary>
[Test]
public void op_DivisionTest()
{
Half half1 = 333;
Half half2 = 3;
Half expected = 111;
Half actual = (half1 / half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Decrement
///</summary>
[Test]
public void op_DecrementTest()
{
Half half = 1234;
Half expected = 1233;
Half actual = --(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for op_Addition
///</summary>
[Test]
public void op_AdditionTest()
{
Half half1 = (Half)1234.5f;
Half half2 = (Half)1234.5f;
Half expected = (Half)2469f;
Half actual = (half1 + half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Negate
///</summary>
[Test]
public void negate_test()
{
Half half = new Half(658.51);
Half expected = new Half(-658.51);
Half actual = Half.Negate(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Multiply
///</summary>
[Test]
public void multiply_test()
{
Half half1 = 7;
Half half2 = 12;
Half expected = 84;
Half actual = Half.Multiply(half1, half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Min
///</summary>
[Test]
public void min_test()
{
Half val1 = -155;
Half val2 = 155;
Half expected = -155;
Half actual = Half.Min(val1, val2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Max
///</summary>
[Test]
public void max_test()
{
Half val1 = new Half(333);
Half val2 = new Half(332);
Half expected = new Half(333);
Half actual = Half.Max(val1, val2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for IsPositiveInfinity
///</summary>
[Test]
public void is_positive_infinity_test()
{
{
Half half = Half.PositiveInfinity;
bool expected = true;
bool actual = Half.IsPositiveInfinity(half);
Assert.AreEqual(expected, actual);
}
{
Half half = (Half)1234.5678f;
bool expected = false;
bool actual = Half.IsPositiveInfinity(half);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for IsNegativeInfinity
///</summary>
[Test]
public void is_negative_infinity_test()
{
{
Half half = Half.NegativeInfinity;
bool expected = true;
bool actual = Half.IsNegativeInfinity(half);
Assert.AreEqual(expected, actual);
}
{
Half half = (Half)1234.5678f;
bool expected = false;
bool actual = Half.IsNegativeInfinity(half);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for IsNaN
///</summary>
[Test]
public void is_na_n_test()
{
{
Half half = Half.NaN;
bool expected = true;
bool actual = Half.IsNaN(half);
Assert.AreEqual(expected, actual);
}
{
Half half = (Half)1234.5678f;
bool expected = false;
bool actual = Half.IsNaN(half);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for IsInfinity
///</summary>
[Test]
public void is_infinity_test()
{
{
Half half = Half.NegativeInfinity;
bool expected = true;
bool actual = Half.IsInfinity(half);
Assert.AreEqual(expected, actual);
}
{
Half half = Half.PositiveInfinity;
bool expected = true;
bool actual = Half.IsInfinity(half);
Assert.AreEqual(expected, actual);
}
{
Half half = (Half)1234.5678f;
bool expected = false;
bool actual = Half.IsInfinity(half);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for GetTypeCode
///</summary>
[Test]
public void get_type_code_test()
{
Half target = new Half();
TypeCode expected = (TypeCode)255;
TypeCode actual = target.GetTypeCode();
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for GetHashCode
///</summary>
[Test]
public void get_hash_code_test()
{
Half target = 777;
int expected = 25106;
int actual = target.GetHashCode();
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for GetBytes
///</summary>
[Test]
public void get_bytes_test()
{
Half value = Half.ToHalf(0x1234);
byte[] expected = { 0x34, 0x12 };
byte[] actual = Half.GetBytes(value);
Assert.AreEqual(expected[0], actual[0]);
Assert.AreEqual(expected[1], actual[1]);
}
/// <summary>
///A test for GetBits
///</summary>
[Test]
public void get_bits_test()
{
Half value = new Half(555.555);
ushort expected = 24663;
ushort actual = Half.GetBits(value);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Equals
///</summary>
[Test]
public void equals_test1()
{
{
Half target = Half.MinValue;
Half half = Half.MinValue;
bool expected = true;
bool actual = target.Equals(half);
Assert.AreEqual(expected, actual);
}
{
Half target = 12345;
Half half = 12345;
bool expected = true;
bool actual = target.Equals(half);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for Equals
///</summary>
[Test]
public void equals_test()
{
{
Half target = new Half();
object obj = new Single();
bool expected = false;
bool actual = target.Equals(obj);
Assert.AreEqual(expected, actual);
}
{
Half target = new Half();
object obj = (Half)111;
bool expected = false;
bool actual = target.Equals(obj);
Assert.AreEqual(expected, actual);
}
}
/// <summary>
///A test for Divide
///</summary>
[Test]
public void divide_test()
{
Half half1 = (Half)626.046f;
Half half2 = (Half)8790.5f;
Half expected = (Half)0.07122803f;
Half actual = Half.Divide(half1, half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for CompareTo
///</summary>
[Test]
public void compare_to_test1()
{
Half target = 1;
Half half = 2;
int expected = -1;
int actual = target.CompareTo(half);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for CompareTo
///</summary>
[Test]
public void compare_to_test()
{
Half target = 666;
object obj = (Half)555;
int expected = 1;
int actual = target.CompareTo(obj);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Add
///</summary>
[Test]
public void add_test()
{
Half half1 = (Half)33.33f;
Half half2 = (Half)66.66f;
Half expected = (Half)99.99f;
Half actual = Half.Add(half1, half2);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Abs
///</summary>
[Test]
public void abs_test()
{
Half value = -55;
Half expected = 55;
Half actual = Half.Abs(value);
Assert.AreEqual(expected, actual);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test6()
{
long value = 44;
Half target = new Half(value);
Assert.AreEqual((long)target, 44);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test5()
{
int value = 789; // TODO: Initialize to an appropriate value
Half target = new Half(value);
Assert.AreEqual((int)target, 789);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test4()
{
float value = -0.1234f;
Half target = new Half(value);
Assert.AreEqual(target, (Half)(-0.1233521f));
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test3()
{
double value = 11.11;
Half target = new Half(value);
Assert.AreEqual((double)target, 11.109375);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test2()
{
ulong value = 99999999;
Half target = new Half(value);
Assert.AreEqual(target, Half.PositiveInfinity);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test1()
{
uint value = 3330;
Half target = new Half(value);
Assert.AreEqual((uint)target, (uint)3330);
}
/// <summary>
///A test for Half Constructor
///</summary>
[Test]
public void half_constructor_test()
{
Decimal value = new Decimal(-11.11);
Half target = new Half(value);
Assert.AreEqual((Decimal)target, (Decimal)(-11.10938));
}
}
}
@vermorel
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vermorel commented Jan 2, 2021

@MrUnbelievable92 I was the one who refactored this code to make is very Microsoft-ish. Again, at present time, this code is only historical interest. If you have a better way to implement this, you should direct your feedback toward Microsoft.

@qingfengxia
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qingfengxia commented Jan 29, 2021 •
edited
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dotnet 5 has added Half, but net framework 4.x and dotnet core 3.1 does not have such as Type?

For historical interest, I still want to use it. so I make a repo from this gist. If needed could make a nuget package to make life easier
https://github.com/qingfengxia/Half
While if the author or sb has done that, just ignore me

@qingfengxia
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There is a nuget build, built on ubuntu dotnet core 3.1, not sure if this is working on Windows
https://www.nuget.org/packages/Half/

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