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IGLib
1.7.2
The IGLib base library for development of numerical, technical and business applications.
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IGLib
1.7.2
The IGLib base library for development of numerical, technical and business applications.
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Contains a number of example 3D vector functions of 2 variables. More...
Inheritance diagram for IG.Num.Func3d2dExamples: Collaboration diagram for IG.Num.Func3d2dExamples:Classes | |
| class | CylinderParametric |
| Parametric equation of an origin-centered (ellipsoidal) cylindrical surface in form of 3D vector function of 2 variables. More... | |
| class | EllipsoidParametric |
| Parametric equation of an origin-centered ellipsoid surface in form of 3D vector function of 2 variables. More... | |
| class | EnneperSurface |
| Parametric equation of the Enneper surface, in form of 3D vector function of 2 variables. More... | |
| class | HyperbolicParaboloid |
| Surface that is a graph of the function z/c=x^2/a^2-y^2/b^2. More... | |
| class | HyperboloidParametric |
| Parametric definition of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables. More... | |
| class | HyperboloidParametric2 |
| Alternative parametric definition of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables. More... | |
| class | HyperboloidParametricMinus |
| Alternative parameterization of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables. More... | |
| class | HyperboloidParametricPlus |
| Alternative parameterization of an origin-centered hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2=1) in form of 3D vector function of 2 variables. More... | |
| class | HyperboloidTwosheetedLowerParametric |
| Parametric definition of an origin-centered upper two-sheeted hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2-1) in form of 3D vector function of 2 variables. More... | |
| class | HyperboloidTwosheetedUpperParametric |
| Parametric definition of an origin-centered upper two-sheeted hyperboloid surface (x^2/a^2+y^2/b^2-z^2/c^2-1) in form of 3D vector function of 2 variables. More... | |
| class | KleinBottle |
| Defines the Klein's bottle (a parametric surface), a closed surface with no interior and exterior. More... | |
| class | KleinBottle1 |
| Defines the Klein's bottle (a parametric surface), a closed surface with no interior and exterior. More... | |
| class | KleinBottle2 |
| Defines the Klein's bottle (a parametric surface), a closed surface with no interior and exterior. More... | |
| class | MobiusStrip |
| Defines the Möbius strip (a parametric surface), a surface with only one side and only one boundary component. More... | |
| class | Paraboloid |
| Surface that is a graph of the function z/c=x^2/a^2+y^2/b^2. More... | |
| class | ParametricSurface |
| Base class for easy definition of parametric surfaces intended for plotting. More... | |
| class | SaddleXY |
| Parametric surface that is a graph of the function f(x,y)=x*y. More... | |
| class | SnailConicSpiral_ToCheck |
| Defines a parametric definition of a snail shell - like surface (a parametric surface) in form of 3D vector function of 2 variables. More... | |
| class | SnailShell1 |
| Definition of parametric surface that ressembles a snail's shell in form of 3D vector function of 2 variables. More... | |
| class | SnailShell1Streched |
| Definition of parametric surface that ressembles a snail's shell (a bit stretched along the axis) in form of 3D vector function of 2 variables. More... | |
| class | SphereParametric |
| Parametric equation of an origin-centered sphere. More... | |
| class | Surface |
| Base class for easy definition of surfaces defined through a function of 2 variables. More... | |
| class | Torus |
| Parametric equation of a toroid surface in form of 3D vector function of 2 variables. More... | |
| class | TorusHorizontal |
| Parametric equation of a horizontal toroid surface in form of 3D vector function of 2 variables. More... | |
| class | TorusVertical |
| Parametric equation of a horizontal toroid surface in form of 3D vector function of 2 variables. More... | |
| class | UmbilicTorus |
| Parametric equation of the umbilic torus surface, a closed single-edged surface in 3D, in form of 3D vector function of 2 variables. 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... | |
Contains a number of example 3D vector functions of 2 variables.
Many of the contained nested classes define interesting parametric surfaces.
$A Igor Oct09;
1.8.8 
