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## Machine constants

• The MachineConstants class - contains constants for floating-point arithmetic because the CLS System.Single and Double floating-point types do not follow the standard conventions and are useless. machine constants for the Double type:
• machine precision: Epsilon , SqrtEpsilon CubeRootEpsilon
• largest possible value: MaxDouble , SqrtMaxDouble, LogMaxDouble
• smallest Double-precision floating point number that is greater than zero: MinDouble , SqrtMinDouble , LogMinDouble
• A similar set of constants is available for the Single Datatype

## Mathematical Constants

• The Constants class contains static fields for many mathematical constants and common expressions involving small integers – if you are doing thousands of iterations, you wouldn't want to calculate OneOverSqrtTwoPi , Sqrt17 or Log17 !!!
• Fundamental constants
• E - The base for the natural logarithm, e (2.718...).
• EulersConstant - (0.577...).
• GoldenRatio - (1.618...).
• Pi - the ratio between the circumference and the diameter of a circle (3.1415...).
• Expressions involving fundamental constants: TwoPi, PiOverTwo, PiOverFour, LogTwoPi, PiSquared, SqrPi, SqrtTwoPi, OneOverSqrtPi, OneOverSqrtTwoPi
• Square roots of small integers: Sqrt2, Sqrt3, Sqrt5, Sqrt7, Sqrt17
• Logarithms of small integers: Log2, Log3, Log10, Log17, InvLog10

## Elementary Functions

• The IterativeAlgorithm<T> class in the Extreme.Mathematics namespace defines many elementary functions that are missing from System.Math.
• Hyperbolic Trig Functions: Cosh, Coth, Csch, Sinh, Sech, Tanh
• Inverse Hyperbolic Trig Functions: Acosh, Acoth, Acsch, Asinh, Asech, Atanh
• Exponential, Logarithmic and Miscellaneous Functions:
• ExpMinus1 - The exponential function minus one, ex-1.
• Hypot - The hypotenuse of a right-angled triangle with specified sides.
• LambertW - Lambert's W function, the (real) solution W of x=WeW.
• Log1PlusX - The natural logarithm of 1+x.
• Pow - A number raised to an integer power.

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Comments on this post: Extreme Optimization –Mathematical Constants and Basic Functions

# re: Extreme Optimization –Mathematical Constants and Basic Functions
New information provides useful idea that we can use in most of our projects. - Antiquities of California
Left by Williams George on Dec 29, 2016 5:08 AM