Loyc.Math.IMath< T > Interface Template Reference

Provides operations available on all system numeric types (int, uint, double, etc.); see also ISignedMath{T}, IUIntMath{T}, IIntMath{T} and IFloatMath{T}. More...

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Source file:

• /Core/Loyc.Essentials/Math/Interfaces.cs

Inheritance diagram for Loyc.Math.IMath< T >:

Remarks

Provides operations available on all system numeric types (int, uint, double, etc.); see also ISignedMath{T}, IUIntMath{T}, IIntMath{T} and IFloatMath{T}.

Template Parameters

T	An integer, fixed-point, rational or floating-point numeric type

List of operations and properties: From, CompareTo, Equals, IsLess, IsLessOrEqual, Abs, Min, Max, MinValue, MaxValue, Epsilon, PositiveInfinity, NegativeInfinity, IsSigned, Increment, Decrement, NextHigher, NextLower, Add, Subtract, Zero, One, Multiply, Divide, ShiftLeft, ShiftRight, Sqrt, Square.

Also available as extension methods: IsGreater, IsGreaterOrEqual

It is commonly thought that integer types do not support square root. Obviously, the accuracy of Sqrt on integers is limited, but Sqrt(uint) and Sqrt(ulong) are still provided in Loyc.Essentials.

Additional Inherited Members
Properties inherited from Loyc.Math.INumTraits< T >
T	MinValue [get]
	Minimum value of this type above negative infinity. More...
T	MaxValue [get]
	Maximum value of this type below infinity. More...
T	Epsilon [get]
	Smallest representable positive value of T (1 for integer types). More...
T	PositiveInfinity [get]
	Returns positive infinity, or MaxValue for types that cannot represent infinity. More...
T	NegativeInfinity [get]
	Returns negative infinity, or throws NotSupportedException if T is unsigned. More...
T	NaN [get]
	Not-a-number or null representation for this type. More...
bool	IsSigned [get]
	Returns true if T can represent negative values. More...
bool	IsFloatingPoint [get]
	Returns true if T is floating-point, meaning that it can represent very large and very small numbers, despite possibly limited precision. Returns false for fixed-point and integer-rational types. More...
bool	IsInteger [get]
	Returns true if the type represents only whole numbers. More...
bool	IsOrdered [get]
	Returns true for "normal" numbers, false for ones that aren't necessarily comparable (notably complex numbers). More...
int	SignificantBits [get]
	Returns the normal maximum number of significant (mantissa) bits for this type (not counting the sign bit), or int.MaxValue for unlimited-size types. More...
int	MaxIntPowerOf2 [get]
	Returns the maximum power-of-two-minus-one that can be represented by this type, e.g. for Int32 it's 31, and for UInt32 it's 32. More...
ulong	MaxInt [get]
	Returns the maximum integer that this type can represent. More...
long	MinInt [get]
	Returns the minimum integer that this type can represent. More...
Properties inherited from Loyc.Math.IZeroProvider< T >
T	Zero [get]
	Returns the "zero" or additive identity of this type. More...
Properties inherited from Loyc.Math.IOneProvider< T >
T	One [get]
	Returns the "one" or identity value of this type. More...
Public Member Functions inherited from Loyc.Math.INumTraits< T >
bool	IsInfinity (T value)
	Returns true if the given value is infinite. More...
bool	IsNaN (T value)
	Returns true if the given value is not a number (can only be true for floats). More...
T	Floor (T value)
	Gets the closest integer equal to or lower than the specified number. More...
T	Ceiling (T value)
	Gets the closest integer equal to or higher than the specified number. More...
Public Member Functions inherited from Loyc.Math.IConvertTo< T >
T	From (uint t)
T	From (int t)
T	From (ulong t)
T	From (long t)
T	From (double t)
T	Clip (uint t)
T	Clip (int t)
T	Clip (ulong t)
T	Clip (long t)
T	Clip (double t)
Public Member Functions inherited from Loyc.Math.IOrdered< T >
bool	IsLess (T a, T b)
bool	IsLessOrEqual (T a, T b)
T	Abs (T a)
T	Max (T a, T b)
T	Min (T a, T b)
Public Member Functions inherited from Loyc.Math.IIncrementer< T >
T	AddOne (T a)
	Returns a + 1. More...
T	SubOne (T a)
	Returns a - 1. More...
T	NextHigher (T a)
	Returns the next representable number higher than a. More...
T	NextLower (T a)
	Returns the next representable number lower than a. More...
Public Member Functions inherited from Loyc.Math.IAdditionGroup< T >
T	Add (T a, T b)
T	Add (T a, T b, T c)
T	Sub (T a, T b)
Public Member Functions inherited from Loyc.Math.IMultiply< T >
T	Mul (T a, T b)
Public Member Functions inherited from Loyc.Math.IMultiplicationGroup< T >
T	Div (T a, T b)
T	Shl (T a, int amount)
T	Shr (T a, int amount)
T	MulDiv (T a, T mulBy, T divBy)
Public Member Functions inherited from Loyc.Math.IHasRoot< T >
T	Sqrt (T a)
T	Square (T a)