RMath (FsODE)

FsODE

Documentation for 0.0.2

RMath Type

Namespace: Altaxo.Calc
Assembly: AltaxoCore.Redist.dll
Base Type: obj

Provides methods for real numbers, that were forgotten by the Math class.

Static members

Static member	Description
`RMath.Acosh(x)` Full Usage: `RMath.Acosh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Asinh(x)` Full Usage: `RMath.Asinh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Atanh(x)` Full Usage: `RMath.Atanh(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.ClampToInterval(x, xmin, xmax)` Full Usage: `RMath.ClampToInterval(x, xmin, xmax)` Parameters: x : `float` - The x value. xmin : `float` - The interval minimum. xmax : `float` - The interval maximum. Returns: `float` The value x clamped to the interval [xmin, xmax]. If Double.NaN is provided, the return value is Double.NaN.	Clamps the value x to the interval [xmin, xmax]. If Double.NaN is provided, the return value is Double.NaN. x : `float` The x value. xmin : `float` The interval minimum. xmax : `float` The interval maximum. Returns: `float` The value x clamped to the interval [xmin, xmax]. If Double.NaN is provided, the return value is Double.NaN.
`RMath.Hypot(x, y)` Full Usage: `RMath.Hypot(x, y)` Parameters: x : `float` - First argument. y : `float` - Second argument. Returns: `float` Square root of the sum of x-square and y-square.	The standard hypot() function for two arguments taking care of overflows and zerodivides. x : `float` First argument. y : `float` Second argument. Returns: `float` Square root of the sum of x-square and y-square.
`RMath.InFractionOfUnorderedIntervalCC(x, leftValue, rightValue)` Full Usage: `RMath.InFractionOfUnorderedIntervalCC(x, leftValue, rightValue)` Parameters: x : `float` - The x value. leftValue : `float` - The left value of the interval, might be less than or greater than rightValue. rightValue : `float` - The right value of the interval, might be less than or greater han leftValue. Returns: `Nullable<float>`	If x is inside the interval [leftValue, rightValue] or [rightValue, leftValue], then this function returns a value in the range [0,1] designating the (linear) position inside that interval. I.e. if rightValue > leftValue, the return value would be (x-leftValue)/(rightValue-leftValue). x : `float` The x value. leftValue : `float` The left value of the interval, might be less than or greater than rightValue. rightValue : `float` The right value of the interval, might be less than or greater han leftValue. Returns: `Nullable<float>`
`RMath.InterpolateLinear(fraction, leftValue, rightValue)` Full Usage: `RMath.InterpolateLinear(fraction, leftValue, rightValue)` Parameters: fraction : `float` - The fraction value. leftValue : `float` - The left value. rightValue : `float` - The right value. Returns: `float` (1-fraction)leftValue + fractionrightValue. If fraction is either 0 or 1, only the leftValue or the rightValue will be used as return value, respectively.	Interpolates linearly between leftValue and rightValue, using the parameter fraction. fraction : `float` The fraction value. leftValue : `float` The left value. rightValue : `float` The right value. Returns: `float` (1-fraction)leftValue + fractionrightValue. If fraction is either 0 or 1, only the leftValue or the rightValue will be used as return value, respectively.
`RMath.InterpolateLinear(index, array, ?extendToSides)` Full Usage: `RMath.InterpolateLinear(index, array, ?extendToSides)` Parameters: index : `float` - The index into the array. Can be fractional. array : `float[]` - The array. ?extendToSides : `bool` - If true and the value of index is out of range, the values of the array at the left side or the right side will be returned; otherwise, if the index is out of range, an exception will be thrown. Returns: `float` The interpolated value at the fractional index.	Interpolates values of an array. index : `float` The index into the array. Can be fractional. array : `float[]` The array. ?extendToSides : `bool` If true and the value of index is out of range, the values of the array at the left side or the right side will be returned; otherwise, if the index is out of range, an exception will be thrown. Returns: `float` The interpolated value at the fractional index.
`RMath.IsFinite(x)` Full Usage: `RMath.IsFinite(x)` Parameters: x : `float` - Number to test. Returns: `bool` True if x is finite. False if is is not finite or is double.NaN.	Tests if x is finite, i.e. is in the interval [double.MinValue, double.MaxValue]. x : `float` Number to test. Returns: `bool` True if x is finite. False if is is not finite or is double.NaN.
`RMath.IsFinite(x)` Full Usage: `RMath.IsFinite(x)` Parameters: x : `float32` - Number to test. Returns: `bool` True if x is finite. False if is is not finite or is double.NaN.	Tests if x is finite, i.e. is in the interval [float.MinValue, float.MaxValue]. x : `float32` Number to test. Returns: `bool` True if x is finite. False if is is not finite or is double.NaN.
`RMath.IsInIntervalCC(x, xmin, xmax)` Full Usage: `RMath.IsInIntervalCC(x, xmin, xmax)` Parameters: x : `float` - The argument. xmin : `float` - The lower boundary of the interval. xmax : `float` - The upper boundary of the interval. Returns: `bool` True if xmin <= x and x <= xmax.	Tests whether or not x is in the closed interval [xmin, xmax]. No test is done if xmin is less than xmax. x : `float` The argument. xmin : `float` The lower boundary of the interval. xmax : `float` The upper boundary of the interval. Returns: `bool` True if xmin <= x and x <= xmax.
`RMath.IsInIntervalCO(x, xmin, xmax)` Full Usage: `RMath.IsInIntervalCO(x, xmin, xmax)` Parameters: x : `float` - The argument. xmin : `float` - The lower boundary of the interval. xmax : `float` - The upper boundary of the interval. Returns: `bool` True if xmin <= x and x < xmax.	Tests whether or not x is in the semi-open interval [xmin, xmax). No test is done if xmin is less than xmax. x : `float` The argument. xmin : `float` The lower boundary of the interval. xmax : `float` The upper boundary of the interval. Returns: `bool` True if xmin <= x and x < xmax.
`RMath.IsInIntervalOC(x, xmin, xmax)` Full Usage: `RMath.IsInIntervalOC(x, xmin, xmax)` Parameters: x : `float` - The argument. xmin : `float` - The lower boundary of the interval. xmax : `float` - The upper boundary of the interval. Returns: `bool` True if xmin < x and x <= xmax.	Tests whether or not x is in the semi-open interval (xmin, xmax]. No test is done if xmin is less than xmax. x : `float` The argument. xmin : `float` The lower boundary of the interval. xmax : `float` The upper boundary of the interval. Returns: `bool` True if xmin < x and x <= xmax.
`RMath.IsInIntervalOO(x, xmin, xmax)` Full Usage: `RMath.IsInIntervalOO(x, xmin, xmax)` Parameters: x : `float` - The argument. xmin : `float` - The lower boundary of the interval. xmax : `float` - The upper boundary of the interval. Returns: `bool` True if xmin < x and x < xmax.	Tests whether or not x is in the open interval (xmin, xmax). No test is done if xmin is less than xmax. x : `float` The argument. xmin : `float` The lower boundary of the interval. xmax : `float` The upper boundary of the interval. Returns: `bool` True if xmin < x and x < xmax.
`RMath.IsNaN(x)` Full Usage: `RMath.IsNaN(x)` Parameters: x : `float` - Number to test. Returns: `bool` True if x is NaN.	Test if x is not a number. x : `float` Number to test. Returns: `bool` True if x is NaN.
`RMath.IsNaN(x)` Full Usage: `RMath.IsNaN(x)` Parameters: x : `float32` - Number to test. Returns: `bool` True if x is NaN.	Test if x is not a number. x : `float32` Number to test. Returns: `bool` True if x is NaN.
`RMath.Log1p(x)` Full Usage: `RMath.Log1p(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.OneMinusExp(x)` Full Usage: `RMath.OneMinusExp(x)` Parameters: x : `float` - Function argument Returns: `float` The value 1-Exp(x)	Calculates 1-Exp(x) with better accuracy around x=0. x : `float` Function argument Returns: `float` The value 1-Exp(x)
`RMath.Pow(x, n)` Full Usage: `RMath.Pow(x, n)` Parameters: x : `float` - n : `int` - Returns: `float`	Calculates x^n by repeated multiplications. The algorithm takes ld(n) multiplications. This algorithm can also be used with negative n. x : `float` n : `int` Returns: `float`
`RMath.Pow(x, n)` Full Usage: `RMath.Pow(x, n)` Parameters: x : `float` - n : `int64` - Returns: `float`	Calculates x^n by repeated multiplications. The algorithm takes ld(n) multiplications. This algorithm can also be used with negative n. x : `float` n : `int64` Returns: `float`
`RMath.Pow2(x)` Full Usage: `RMath.Pow2(x)` Parameters: x : `float` - Argument. Returns: `float` `x` squared.	Calculates x^2 (square of x). x : `float` Argument. Returns: `float` `x` squared.
`RMath.Pow3(x)` Full Usage: `RMath.Pow3(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow4(x)` Full Usage: `RMath.Pow4(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow5(x)` Full Usage: `RMath.Pow5(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow6(x)` Full Usage: `RMath.Pow6(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow7(x)` Full Usage: `RMath.Pow7(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow8(x)` Full Usage: `RMath.Pow8(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.Pow9(x)` Full Usage: `RMath.Pow9(x)` Parameters: x : `float` Returns: `float`	x : `float` Returns: `float`
`RMath.ScaleDecadic(x, n)` Full Usage: `RMath.ScaleDecadic(x, n)` Parameters: x : `float` - The scaling factor. n : `int` - The decadic exponent. Returns: `float` The product x * 10^n.	Calculates x * 10^n. x : `float` The scaling factor. n : `int` The decadic exponent. Returns: `float` The product x * 10^n.