Loyc.Math.IRationalMath< T > Interface Template Reference

Use this interface for floating-point, fixed-point, and rational types. Rational types support reciprocal and negation. More...

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Source file:

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

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

Remarks

Use this interface for floating-point, fixed-point, and rational types. Rational types support reciprocal and negation.

Public Member Functions
T	Reciprocal (T a)
Public Member Functions inherited from Loyc.Math.ISignedMath< T >
T	Negate (T a)
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)

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...