This package contains functions for commonly used mathematical operations. The functions are used in the blocks IDEAS.Utilities.Math.
| Name | Description |
|---|---|
| average | Average of a vector |
| besselJ0 | Bessel function of the first kind of order 0, J0 |
| besselJ1 | Bessel function of the first kind of order 1, J1 |
| besselY0 | Bessel function of the second kind of order 0, Y0 |
| besselY1 | Bessel function of the second kind of order 1, Y1 |
| bicubic | Bicubic function |
| binomial | Returns the binomial coefficient |
| biquadratic | Biquadratic function |
| booleanReplicator | Replicates Boolean signals |
| cubicHermiteLinearExtrapolation | Interpolate using a cubic Hermite spline with linear extrapolation |
| exponentialIntegralE1 | Exponential integral, E1 |
| factorial | Returns the value n! as an integer |
| fallingFactorial | Returns the k-th falling factorial of n |
| integerReplicator | Replicates integer signals |
| inverseXRegularized | Function that approximates 1/x by a twice continuously differentiable function |
| isAngle | Return true if angles are mathematically equivalent up to a certain precision |
| isMonotonic | Returns true if the argument is a monotonic sequence |
| polynomial | Polynomial function |
| powerLinearized | Power function that is linearized below a user-defined threshold |
| quadraticLinear | Function that is quadratic in first argument and linear in second argument |
| quinticHermite | Quintic Hermite spline function for interpolation between two functions with a continuous second derivative |
| regNonZeroPower | Power function, regularized near zero, but nonzero value for x=0 |
| regStep | Approximation of a general step, such that the approximation is continuous and differentiable |
| searchIndex1D | Find the index value i in a vector x for the desired abscissa a so that x[i] < a < x[i+1] |
| smoothExponential | Once continuously differentiable approximation to exp(-|x|) in interval |x| < delta |
| smoothHeaviside | Twice continuously differentiable approximation to the Heaviside function |
| smoothLimit | Once continuously differentiable approximation to the limit function |
| smoothMax | Once continuously differentiable approximation to the maximum function |
| smoothMin | Once continuously differentiable approximation to the minimum function |
| spliceFunction | |
| splineDerivatives | Function to compute the derivatives for cubic hermite spline interpolation |
| trapezoidalIntegration | Integration using the trapezoidal rule |
| Examples | Collection of models that illustrate model use and test models |
| BaseClasses | Package with base classes for IDEAS.Utilities.Math.Functions |