Example class that derives from the M class. Implements a method that uses basic mathematical functions implemented in M. More...

Inheritance diagram for IG.Num.ExampleMathClass:

Collaboration diagram for IG.Num.ExampleMathClass:

Classes
class	Nested
	A nested class that does not derive from the M class, but still statidc functions from that class can be used because it is embedded in that class. More...

Public Member Functions
	ExampleMathClass ()

double	f (double x)
	Method in which comfortable mathematic functions form the base class M are used. More...

Additional Inherited Members
Static Public Member Functions inherited from IG.Num.M
static void	Swap (ref double a, ref double b)
	Swaps values of the two specified variables of type double. More...

static void	Swap (ref int a, ref int b)
	Swaps values of the two specified variables of type int. More...

static void	Swap (ref string a, ref string b)
	Swaps values of the two specified variables of type string. More...

static double	abs (double a)
	Absolute value. More...

static double	sign (double a)
	Returns a value indicating the sign of a number. More...

static double	ceil (double a)
	Returns the smallest integral value that is greater than or equal to the specified decimal number. More...

static double	floor (double a)
	Returns the largest integer less than or equal to the specified number. More...

static double	trunc (double a)
	Calculates the integral part of a specified number. More...

static double	min (double a, double b)
	Smallest of two numbers. More...

static double	max (double a, double b)
	Largest of two numbers. More...

static double	min (double a, double b, double c)
	Smallest of three numbers. More...

static double	max (double a, double b, double c)
	Largest of three numbers. More...

static double	min (double a, double b, double c, double d)
	Smallest of four numbers. More...

static double	max (double a, double b, double c, double d)
	Largest of four numbers. More...

static double	min (double a, double b, double c, double d, double e)
	Smallest of five numbers. More...

static double	max (double a, double b, double c, double d, double e)
	Largest of five numbers. More...

static double	min (double a, double b, double c, double d, double e, double f)
	Smallest of six numbers. More...

static double	max (double a, double b, double c, double d, double e, double f)
	Largest of six numbers. More...

static double	min (params double[] numbers)
	Minimal of the specified values. More...

static double	max (params double[] numbers)
	Maximal of the specified values. More...

static double	sum (params double[] numbers)
	Sum of the specified values. More...

static double	prod (params double[] numbers)
	Product of the specified values. More...

static double	pow (double a, double b)
	Returns a specified number raised to the specified power. More...

static double	sqr (double a)
	Returns the square of a specified number. More...

static double	cube (double a)
	Returns the square of a specified number. More...

static double	pow2 (double x)
	Square. More...

static double	pow3 (double x)
	3rd power. More...

static double	pow4 (double x)
	4th power. More...

static double	pow5 (double x)
	5th power. More...

static double	pow6 (double x)
	6th power. More...

static double	sqrt (double a)
	Returns the square root of a specified number. More...

static double	root2 (double a)
	Returns the square root of a specified number. More...

static double	root3 (double a)
	Returns the cubic root of a specified number. More...

static double	rand ()
	Returns a uniformly distributed random number greater than or equal to 0.0, and less or equal than 1.0. More...

static double	rand (double min, double max)
	Returns a uniformly distributed random number greater than or equal to min, and less or equal than max. More...

static double	randgauss (double mean, double standardDeviation)
	Returns a Gaussian distributed random number with the specified mean and standard deviation. More...

static double	exp (double a)
	Returns e raised to the specified power. More...

static double	log (double a)
	Returns the natural (base e) logarithm of a specified number. More...

static double	ln (double a)
	Returns the natural (base e) logarithm of a specified number. More...

static double	log10 (double a)
	Returns the base 10 logarithm of a specified number. More...

static double	lg (double a)
	Returns the base 10 logarithm of a specified number. More...

static double	log2 (double a)
	Returns the base 2 logarithm of a specified number. More...

static double	log (double a, double logBase)
	Returns the logarithm of a specified number in a specified base. More...

static double	deg (double x)
	Converts angle in radians to angle in degrees and returns it. More...

static double	rad (double x)
	Converts angle in degrees to angle in radians and returns it. More...

static double	sin (double a)
	Returns the sine of the specified angle. More...

static double	cos (double a)
	Returns the cosine of the specified angle. More...

static double	tg (double a)
	Returns the tangent of the specified angle. More...

static double	ctg (double x)
	Returns cotangent of the specified angle. More...

static double	arccos (double a)
	Returns the angle whose cosine is the specified number. More...

static double	arcsin (double a)
	Returns the angle whose sine is the specified number. More...

static double	arctg (double a)
	Returns the angle whose tangent is the specified number. More...

static double	arcctg (double x)
	Arc cotangent, inverse of 1/tan(x). More...

static double	arctg2 (double a, double b)
	Returns the angle whose tangent is the quotient of two specified numbers. More...

static double	Sinh (double a)
	Returns the hyperbolic sine of the specified angle. More...

static double	sinh (double a)
	Returns the hyperbolic sine of the specified angle. More...

static double	sh (double a)
	Returns the hyperbolic sine of the specified angle. More...

static double	ch (double a)
	Returns the hyperbolic cosine of the specified angle. More...

static double	th (double a)
	Returns the hyperbolic tangent of the specified angle. More...

static double	cth (double x)
	Hyperblic cotangent, 1/Math.Tanh. More...

static double	arsh (double x)
	Inverse hyperbolic sine. More...

static double	arch (double x)
	Inverse hyperbolic cosine. More...

static double	arth (double x)
	Inverse hyperbolic tangent. More...

static double	arcth (double x)
	Inverse hyperbolic cotangent. More...

static bool	CheckFactorialsArray ()
	Tests ehether the factoirals in the hard-coded array (factorials64) of factorials are correct; Throws ArgumentException if any of them is incorrect. More...

static void	TestFactorials ()
	Writes to the console all factorials that can be calculatet. More...

static void	TestFactorials (int max)
	Writes to the console the first n factorials. More...

static long	fac (int factor)
	Returns factorial of the specified number. More...

static long	facCalculated (long n)
	Returns factorial of the specified number - less efficient approac, but does not rely on hard coded array. More...

static long	fallingPower (long n, long p)
	Calculates and returns the falling power of the specified number. More...

static long	binomial (long n, long k)
	Returns binomial coefficient n over k . More...

static void	TestBinomialCoefficients ()
	Writes the first few binomial coefficients to the console. More...

static void	TestBinomialCoefficients (int nMax)
	Writes binomial coefficients up to the specified number to the console. More...

static double	Mean (ICollection< double > sample)
	Returns mean value of the specified sample. More...

static double	Mean (IVector sample)
	Returns mean value of the specified sample. More...

static double	Average (ICollection< double > sample)
	Returns mean value of the specified sample. More...

static double	Average (IVector sample)
	Returns mean value of the specified sample. More...

static double	StandardDeviation (ICollection< double > sample)
	Returns estimation of the standard deviation of a random value based on the specified sample. More...

static double	StandardDeviation (IVector sample)
	Returns estimation of the standard deviation of a random value based on the specified sample. More...

Properties inherited from IG.Num.M
static double	e `[get]`
	Natural logarithmic base. More...

static double	pi `[get]`
	Ratio of the circumference of a circle to its diameter. More...

static double	zero `[get]`
	Zero (value 0.0). More...

static double	one `[get]`
	One (value 1.0). More...

Detailed Description

Example class that derives from the M class. Implements a method that uses basic mathematical functions implemented in M.

TODO: Join the FuncMath class with this class (incorporate that class and abolish it)!!

$A Igor xx Jul11;

Constructor & Destructor Documentation

IG.Num.ExampleMathClass.ExampleMathClass ( )

inline

Member Function Documentation

double IG.Num.ExampleMathClass.f ( double x )

inline

Method in which comfortable mathematic functions form the base class M are used.

Parameters

x	Argument of a real-valued function.

Returns: Some function of the argument.

The documentation for this class was generated from the following file:

igbase/utilities/UtilMath.cs

Classes

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation