Quad Structure

Extreme Optimization Numerical Libraries for .NET Professional

Represents a real number in IEEE/IEC quadruple-precision floating-point format.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1

Syntax

C++

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[SerializableAttribute]
public readonly struct Quad : IComparable, 
	IEquatable<Quad>, IComparable<Quad>, IFormattable, 
	IEquatable<double>, IComparable<double>

<SerializableAttribute>
Public Structure Quad
	Implements IComparable, IEquatable(Of Quad), 
	IComparable(Of Quad), IFormattable, IEquatable(Of Double), 
	IComparable(Of Double)

[SerializableAttribute]
public value class Quad : IComparable, IEquatable<Quad>, 
	IComparable<Quad>, IFormattable, IEquatable<double>, 
	IComparable<double>

[<SealedAttribute>]
[<SerializableAttribute>]
type Quad =  
    struct
        interface IComparable
        interface IEquatable<Quad>
        interface IComparable<Quad>
        interface IFormattable
        interface IEquatable<float>
        interface IComparable<float>
    end

The Quad type exposes the following members.

Constructors

	Name	Description
	Quad(BigInteger)	Constructs a new Quad for a BigInteger value.
	Quad(BigRational)	Constructs a new Quad for a BigInteger value.
	Quad(Decimal)	Constructs a new Quad for a Decimal value.
	Quad(Double)	Constructs a new Quad.
	Quad(Int32)	Constructs a new Quad.
	Quad(Int64)	Constructs a new Quad.
	Quad(UInt32)	Constructs a new Quad.
	Quad(UInt64)	Constructs a new Quad.
	Quad(Double, Double)	Constructs a new quadruple precision number from two double-precision numbers.
	Quad(Int64, Int64)	Constructs a new quadruple precision number from raw data.

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Properties

	Name	Description
	High64Bits	Gets the upper 64 bits in the binary representation of the quadruple precision floating-point number.
	Low64Bits	Gets the lower 64 bits in the binary representation of the quadruple precision floating-point number.

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Methods

	Name	Description
	Abs	Returns the absolute value of a quadruple precision number.
	Acos	Returns the angle whose cosine is the specified number.
	Acosh	Returns the inverse hyperbolic cosine of a number.
	Asin	Returns the angle whose sine is the specified number.
	Asinh	Returns the inverse hyperbolic sine of a number.
	Atan	Returns the angle whose tangent is the specified number.
	Atan2	Returns the angle between the X-axis and the ray from the origin to the specified point.
	Atanh	Returns the inverse hyperbolic tangent of a number.
	Ceiling	Returns the smallest integral value that is greater than or equal to the specified quadruple precision number.
	Compare	Compares two quadruple-precision numbers.
	CompareTo(Double)	Compares a number to another number.
	CompareTo(Quad)	Compares a number to another number.
	Cos	Returns the cosine of the specified angle.
	Cosh	Returns the hyperbolic cosine of the specified angle.
	Equals(Double)	Tests whether a number equals another number.
	Equals(Object)	Indicates whether this instance and a specified object are equal. (Overrides ValueTypeEquals(Object).)
	Equals(Quad)	Tests whether a number equals another number.
	Erf	Evaluates the error function.
	Erfc	Evaluates the complementary error function.
	Exp	Returns e raised to the specified power.
	ExpMinus1	Returns e raised to the specified power to the specified accuracy.
	Floor	Returns the largest integer less than or equal to the specified quadruple precision number.
	GetHashCode	Returns the hash code for this instance. (Overrides ValueTypeGetHashCode.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Hypot	Gets the length of the hypotenuse of a right-angled triangle with sides of specified length.
	InverseErf	Evaluates the inverse of the error function.
	InverseErfc	Evaluates the inverse of the complementary error function.
	IsFinite	Returns whether the specified quadruple-precision floating-point number is finite.
	IsNaN	Checks if the value of a value is "Not a Number."
	IsNegativeInfinity	Returns whether the specified quadruple-precision floating-point number is equal to negative infinity.
	IsPositiveInfinity	Returns whether the specified quadruple-precision floating-point number is equal to positive infinity.
	Log(Quad)	Returns the natural (base e) logarithm of a specified number.
	Log(Quad, Quad)	Returns the logarithm of a specified number in a specified base.
	Log1PlusX	Returns the logarithm of 1 plus the argument.
	Max	Returns the larger of two quadruple precision numbers.
	Min	Returns the smaller of two quadruple precision numbers.
	Parse(String)	Converts a string value to a Quad.
	Parse(String, NumberStyles)	Converts a string value to a Quad.
	Parse(String, IFormatProvider)	Converts a string value to a Quad.
	Parse(String, NumberStyles, IFormatProvider)	Converts a string value to a Quad.
	Pow(Quad, Quad)	Returns a specified number raised to the specified power.
	Pow(Quad, Int32)	Returns a number raised to an integer power.
	Round(Quad)	Rounds a Quad value to the nearest integral value.
	Round(Quad, Int32)	Rounds a Quad value to a specified number of fractional digits.
	Round(Quad, MidpointRounding)	Rounds a Quad value to the nearest integer. A parameter specifies how to round the value if it is midway between two other numbers.
	Round(Quad, Int32, MidpointRounding)	Rounds a Quad value to a specified number of fractional digits. A parameter specifies how to round the value if it is midway between two other numbers.
	ScaleByPowerOfTwo	Multiplies a quadruple-precision value by a power of two.
	Sign	Gets the sign of the quadruple precision number: -1, 0, or 1.
	Sin	Returns the sine of the specified angle.
	Sinh	Returns the hyperbolic sine of the specified angle.
	Sqrt	Returns the square root of a number.
	Sqrt1pxm1	Returns the difference between the square root of a number close to 1, and 1.
	Tan	Returns the tangent of the specified angle.
	Tanh	Returns the hyperbolic tangent of the specified angle.
	ToString	Returns a String representation of the number. (Overrides ValueTypeToString.)
	ToString(IFormatProvider)	Formats the value of the current instance using the specified format.
	ToString(String)	Formats the value of the current instance using the specified format.
	ToString(String, IFormatProvider)	Formats the value of the current instance using the specified format.
	Truncate	Calculates the integral part of a specified quadruple precision number.
	TryParse(String, Quad)	Attempts to convert a string value to a Quad.
	TryParse(String, NumberStyles, IFormatProvider, Quad)	Attempts to convert a string value to a Quad.

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Operators

	Name	Description
	Addition	Adds two quadruple-precision floating-point numbers.
	Division	Divides one quadruple-precision floating-point number by another.
	Equality	Returns whether left quadruple-precision floating-point number is equal to another.
	(BigInteger to Quad)	Converts a BigInteger number to a Quad value.
	(Decimal to Quad)	Converts a Decimal number to a Quad value.
	(Quad to Byte)	Converts a Quad to a Byte value.
	(Quad to Decimal)	Converts a Quad to a Decimal number.
	(Quad to Double)	Converts a Quad to a double-precision floating-point number.
	(Quad to Int16)	Converts a Quad to a Int16 value.
	(Quad to Int32)	Converts a Quad to a Int32 value.
	(Quad to Int64)	Converts a Quad to a long integer.
	(Quad to SByte)	Converts a Quad to a SByte value.
	(Quad to Single)	Converts a Quad to a single-precision floating-point number.
	(Quad to UInt16)	Converts a Quad to a UInt16 value.
	(Quad to UInt32)	Converts a Quad to an unsigned integer.
	(Quad to UInt64)	Converts a Quad to a long unsigned integer.
	(Single to Quad)	Converts a single-precision floating-point number to a Quad value.
	Exponent(Quad, Quad)	Represents the exponentiation operator.
	Exponent(Quad, Int32)	Represents the exponentiation operator.
	Exponentiation(Quad, Quad)	Represents the exponentiation operator.
	Exponentiation(Quad, Int32)	Represents the exponentiation operator.
	GreaterThan	Returns whether left quadruple-precision floating-point number is greater than another.
	GreaterThanOrEqual	Returns whether left quadruple-precision floating-point number is greater than or equal to another.
	(Byte to Quad)	Converts a Byte value to a Quad number.
	(Double to Quad)	Converts a double-precision floating-point number to a quadruple-precision floating-point number.
	(Int16 to Quad)	Converts a 16 bit signed integer to a Quad value.
	(Int32 to Quad)	Converts a 32 bit signed integer to a Quad value.
	(Int64 to Quad)	Converts a 64 bit signed integer to a Quad value.
	(SByte to Quad)	Converts a signed byte to a Quad value.
	(UInt16 to Quad)	Converts a 16 bit unsigned integer to a Quad value.
	(UInt32 to Quad)	Converts a 32 bit unsigned integer to a Quad value.
	(UInt64 to Quad)	Converts a 64 bit unsigned integer to a Quad value.
	Inequality	Returns whether left quadruple-precision floating-point number is not equal to another.
	LessThan	Returns whether left quadruple-precision floating-point number is less than another.
	LessThanOrEqual	Returns whether left quadruple-precision floating-point number is less than or equal to another.
	Modulus	Computes the remainder after dividing one quadruple-precision floating-point number by another.
	Multiply	Multiplies two quadruple-precision floating-point numbers.
	Subtraction	Subtracts one quadruple-precision floating-point number from another.
	UnaryNegation	Returns the quadruple-precision number with the opposite sign.

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Fields

	Name	Description
	AccuracyGoal	Defines the accuracy of quadruple precision floating-point numbers.
	E	The number e, basis of the natural logarithm, as a Quad,
	Epsilon	Gets the machine precision quadruple precision floating-point numbers.
	Log2	The natural logarithm of 2 as a Quad,
	MaxValue	The largest possible Quad.
	MinNormalizedValue	Gets the smallest positive number that has a normalized representation.
	MinPositiveValue	Gets the smallest positive number greater than zero.
	MinusOne	The number -1 as a Quad.
	MinValue	The smallest possible Quad.
	NaN	Not-a-Number, the value returned when the result is undefined.
	NegativeInfinity	Negative infinity as a Quad,
	NegativeZero	Negative 0 as a Quad,
	One	The number one as a Quad.
	Pi	The number pi as a Quad,
	PiOverTwo	The number pi divided by 2 as a Quad,
	PositiveInfinity	Positive infinity as a Quad,
	Zero	The number zero as a Quad.

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Remarks

Use the Quad structure to represent real numbers with an extended range and precision.

Reference

Extreme.Mathematics Namespace

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