IComplexElementaryFunctions<T, U> Interface

Represents the contract for elementary functions of complex values.

Definition

Namespace: Extreme.Mathematics.Generic
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public interface IComplexElementaryFunctions<T, U> : IComplexFieldOperations<T, U>, 
	IComplexRingOperations<T, U>, IComplexOperations<T, U>, IComplexOperations<T>, IGroupOperations<T>, 
	IComparer<T>, IEqualityComparer<T>, IRingOperations<T>, IVectorSpaceOperations<T, T>, 
	IFieldOperations<T>, IDivisionOperations<T, T>, IRealOperations<T>, IFractionalOperations<T>

Visual Basic

Public Interface IComplexElementaryFunctions(Of T, U)
	Inherits IComplexFieldOperations(Of T, U), IComplexRingOperations(Of T, U), 
	IComplexOperations(Of T, U), IComplexOperations(Of T), IGroupOperations(Of T), 
	IComparer(Of T), IEqualityComparer(Of T), IRingOperations(Of T), 
	IVectorSpaceOperations(Of T, T), IFieldOperations(Of T), IDivisionOperations(Of T, T), 
	IRealOperations(Of T), IFractionalOperations(Of T)

C++/CLI

generic<typename T, typename U>
public interface class IComplexElementaryFunctions : IComplexFieldOperations<T, U>, 
	IComplexRingOperations<T, U>, IComplexOperations<T, U>, IComplexOperations<T>, IGroupOperations<T>, 
	IComparer<T>, IEqualityComparer<T>, IRingOperations<T>, IVectorSpaceOperations<T, T>, 
	IFieldOperations<T>, IDivisionOperations<T, T>, IRealOperations<T>, IFractionalOperations<T>

type IComplexElementaryFunctions<'T, 'U> = 
    interface
        interface IComplexFieldOperations<'T, 'U>
        interface IComplexRingOperations<'T, 'U>
        interface IComplexOperations<'T, 'U>
        interface IComplexOperations<'T>
        interface IGroupOperations<'T>
        interface IComparer<'T>
        interface IEqualityComparer<'T>
        interface IRingOperations<'T>
        interface IVectorSpaceOperations<'T, 'T>
        interface IFieldOperations<'T>
        interface IDivisionOperations<'T, 'T>
        interface IRealOperations<'T>
        interface IFractionalOperations<'T>
    end

Implements: IComplexFieldOperations<T, U>, IComplexOperations<T>, IComplexOperations<T, U>, IComplexRingOperations<T, U>, IDivisionOperations<T, T>, IFieldOperations<T>, IFractionalOperations<T>, IGroupOperations<T>, IRealOperations<T>, IRingOperations<T>, IVectorSpaceOperations<T, T>, IComparer<T>, IEqualityComparer<T>

Type Parameters

T: The type of the complex operands.
U: The type of real operands.

Properties

Epsilon	Gets the machine precision of the operand type. (Inherited from IRealOperations<T>)
ImaginaryOne	Gets the imaginary unit, i. (Inherited from IComplexOperations<T>)
MaxValue	Gets the largest possible value of the operand type. (Inherited from IGroupOperations<T>)
MinPositiveValue	Gets the smallest operand type value greater than zero. (Inherited from IRealOperations<T>)
MinValue	Gets the smallest possible value of the operand type. (Inherited from IGroupOperations<T>)
One	Gets the value of one for the operand type T. (Inherited from IRingOperations<T>)
Pi	Gets the number pi. (Inherited from IRealOperations<T>)
Zero	Gets the value of zero for the operand type T. (Inherited from IGroupOperations<T>)

Methods

Abs	Returns the absolute value of a value. (Inherited from IGroupOperations<T>)
Acos(T)	Gets the inverse cosine of a real number.
Acos(U)	Gets the inverse cosine of a real number.
Acosh	Gets the inverse hyperbolic cosine of a complex number.
Add(T, U)	Adds a complex number and a real number. (Inherited from IComplexOperations<T, U>)
Add(T, T)	Adds one value to another. (Inherited from IGroupOperations<T>)
Asin(T)	Gets the inverse sine of a complex number.
Asin(U)	Gets the inverse sine of a real number.
Asinh	Gets the inverse hyperbolic sine of a complex number.
Atan	Gets the inverse tangent of a complex number.
Atan2	Returns the arc tangent of a pair of values. (Inherited from IRealOperations<T>)
Atanh	Gets the inverse hyperbolic tangent of a complex number.
Ceiling	Returns the smallest integer greater than or equal to a value. (Inherited from IFractionalOperations<T>)
Compare	Compares two objects and returns a value indicating whether one is less than, equal to, or greater than the other. (Inherited from IComparer<T>)
Conjugate	Returns the conjugate of a complex value. (Inherited from IComplexOperations<T>)
ConjugateMultiply	Multiplies the conjugate of the left operand with the right operand. (Inherited from IComplexOperations<T>)
Cos	Returns the cosine of a value. (Inherited from IRealOperations<T>)
Cosh	Returns the hyperbolic cosine of a value. (Inherited from IRealOperations<T>)
Divide(T, U)	Divides a complex number by a real number. (Inherited from IComplexFieldOperations<T, U>)
Divide(U, T)	Divides a real number by a complex number. (Inherited from IComplexFieldOperations<T, U>)
Divide(T, T)	Divides a value by another. (Inherited from IDivisionOperations<T, TClosure>)
Equals	Determines whether the specified objects are equal. (Inherited from IEqualityComparer<T>)
Exp	Returns the exponential of a value. (Inherited from IRealOperations<T>)
Floor	Returns the largest integer less than or equal to a value. (Inherited from IFractionalOperations<T>)
FromDouble	Converts a Double value to the operand type. (Inherited from IRealOperations<T>)
FromInt32	Converts an integer to the operand type. (Inherited from IRingOperations<T>)
FromPolar	Constructs a complex number from polar components. (Inherited from IComplexOperations<T, U>)
GetHashCode	Returns a hash code for the specified object. (Inherited from IEqualityComparer<T>)
Log(T)	Returns the natural logarithm of a value. (Inherited from IRealOperations<T>)
Log(T, T)	Returns the logarithm of a complex number to the specified base.
Magnitude	Gets the modulus or absolute value of a complex number. (Inherited from IComplexOperations<T, U>)
Multiply(T, U)	Multiplies a complex number and a real number. (Inherited from IComplexRingOperations<T, U>)
Multiply(TScalar, TVector)	Multiplies a vector by a scalar. (Inherited from IVectorSpaceOperations<TScalar, TVector>)
Negate	Negates a value. (Inherited from IGroupOperations<T>)
OneNorm	Returns the sum the absolute values of the real and imaginary parts of a comples value. (Inherited from IComplexOperations<T>)
Phase	Returns the argument or phase of a complex value. (Inherited from IComplexOperations<T, U>)
Pow	Returns a number raised to a power.. (Inherited from IRealOperations<T>)
Reciprocal	Returns the reciprocal of a value. (Inherited from IDivisionOperations<T, TClosure>)
Round	Rounds a value to the specified number of decimal digits. (Inherited from IFractionalOperations<T>)
ScaleByPowerOfTwo	Scales the specified number by the specified power of two. (Inherited from IRingOperations<T>)
Sin	Returns the sine of a value. (Inherited from IRealOperations<T>)
Sinh	Returns the hyperbolic sine of a value. (Inherited from IRealOperations<T>)
Sqrt(U)	Returns the first square root of a real number.
Sqrt(T)	Returns the square root of a value. (Inherited from IRealOperations<T>)
Subtract(T, U)	Adds a real number from a complex number. (Inherited from IComplexOperations<T, U>)
Subtract(U, T)	Subtracts a complex number from a real number. (Inherited from IComplexOperations<T, U>)
Subtract(T, T)	Subtracts one value from another. (Inherited from IGroupOperations<T>)
Tan	Gets the tangent of a complex number.
ToInt32	Converts the operand type to an integer. (Inherited from IRingOperations<T>)

Extension Methods

Acos<T>	Returns the angle whose cosine is the specified number. (Defined by GenericExtensions)
Acosh<T>	Returns the inverse hyperbolic cosine of a real number. (Defined by GenericExtensions)
Acoth<T>	Returns the inverse hyperbolic cotangent of a real number. (Defined by GenericExtensions)
Acsch<T>	Returns the inverse hyperbolic cosecant of a real number. (Defined by GenericExtensions)
Asech<T>	Returns the inverse hyperbolic secant of a real number. (Defined by GenericExtensions)
Asin<T>	Returns the angle whose cosine is the specified number. (Defined by GenericExtensions)
Asinh<T>	Returns the inverse hyperbolic sine of a real number. (Defined by GenericExtensions)
Atan<T>	Returns the angle whose tangent is the specified number. (Defined by GenericExtensions)
Atanh<T>	Returns the inverse hyperbolic tangent of a real number. (Defined by GenericExtensions)
Coth<T>	Returns the hyperbolic cotangent of a real number. (Defined by GenericExtensions)
Csch<T>	Returns the hyperbolic cosecant of a real number. (Defined by GenericExtensions)
Hypot<T>	Gets the length of the hypotenuse of a right-angled triangle with sides of specified length. (Defined by GenericExtensions)
Log<T>	Returns the natural logarithm of the specified number. (Defined by GenericExtensions)
Log10<T>	Returns the base 10 logarithm of the specified number. (Defined by GenericExtensions)
Log1PlusX<T>	Returns the logarithm of 1 plus the argument. (Defined by GenericExtensions)
Max<T>	Returns the larger of two numbers. (Defined by GenericExtensions)
Max<T>	Returns the largest of three numbers. (Defined by GenericExtensions)
Min<T>	Returns the smaller of two numbers. (Defined by GenericExtensions)
Min<T>	Returns the smallest of three numbers. (Defined by GenericExtensions)
Pow<T>	Raises a value to the specified power.. (Defined by GenericExtensions)
Pow<T>	Raises a value to the specified power.. (Defined by GenericExtensions)
Sech<T>	Returns the hyperbolic secant of a real number. (Defined by GenericExtensions)
Sinc<T>	Evaluates the normalized sinc function. (Defined by GenericExtensions)
Tan<T>	Returns the tangent of the specified angle. (Defined by GenericExtensions)
Tanh<T>	Returns the hyperbolic tangent of the specified angle. (Defined by GenericExtensions)