- remove explicit
converterforInterpolatorTypetoNumContextProc. Instead rely on a macro to generate an overload for the interpolator type for integration routines taking aNumContextProc.
- avoid name collisions related to
meshgrid
- improve documentation
- add extrapolation for interpolators
The 1D interpolation methods now support extrapolation using these methods:
Constant: Set all points outside the range of the interpolator toextrapValue.Edge: Use the value of the left/right edge.Linear: Uses linear extrapolation using the two points closest to the edge.Native(default): Uses the native method of the interpolator to extrapolate. For Linear1D it will be a linear extrapolation, and for Cubic and Hermite splines it will be cubic extrapolation.Error: Raises anValueErrorifxis outside the range.
These are passed in as an argument to eval and derivEval:
let valEdge = interp.eval(x, Edge)
let valConstant = interp.eval(x, Constant, NaN)levmarqnow acceptsyError.paramUncertaintiesallows you to calculate the uncertainties of fitted parameters.chi2test added
Fix rbf bug.
With radial basis function interpolation, numericalnim finally gets an interpolation method which works on scattered data in arbitrary dimensions!
Basic usage:
let interp = newRbf(points, values)
let result = interp.eval(evalPoints)
CI-related bug fixes.
Multi-variate optimization and differentiation has been introduced.
numericalnim/differentiateofferstensorGradient(f, x)which calculates the gradient offw.r.txusing finite differences,tensorJacobian(returns the transpose of the gradient),tensorHessian,mixedDerivative. It also providescheckGradient(f, analyticGrad, x, tol)to verify that the analytic gradient is correct by comparing it to the finite difference approximation.numericalnim/optimizenow has several multi-variate optimization methods:steepestDescentnewtonbfgslbfgs- They all have the function signatures like:
where
proc bfgs*[U; T: not Tensor](f: proc(x: Tensor[U]): T, x0: Tensor[U], options: OptimOptions[U, StandardOptions] = bfgsOptions[U](), analyticGradient: proc(x: Tensor[U]): Tensor[T] = nil): Tensor[U]
fis the function to be minimized,x0is the starting guess,optionscontain options like tolerance (each method has it own options type which can be created by for examplelbfgsOptionsornewtonOptions),analyticGradientcan be supplied to avoid having to do finite difference approximations of the derivatives. - There are 4 different line search methods supported and those are set in the
options:Armijo, Wolfe, WolfeStrong, NoLineSearch. levmarq: non-linear least-square optimizerproc levmarq*[U; T: not Tensor](f: proc(params: Tensor[U], x: U): T, params0: Tensor[U], xData: Tensor[U], yData: Tensor[T], options: OptimOptions[U, LevmarqOptions[U]] = levmarqOptions[U]()): Tensor[U]
fis the function you want to fit to the parameters inparamandxis the value to evaluate the function at.params0is the initial guess for the parametersxDatais a 1D Tensor with the x points andyDatais a 1D Tensor with the y points.optionscan be created usinglevmarqOptions.- Returns the final parameters
Note: There are basic tests to ensure these methods converge for simple problems, but they are not tested on more complex problems and should be considered experimental until more tests have been done. Please try them out, but don't rely on them for anything important for now. Also, the API isn't set in stone yet so expect that it may change in future versions.
Add a nimCI task for the Nim CI to run now that the tests have external dependencies.
This is a breaking release, due to the changes in PR #25.
NumContext (and types taking NumContext as an argument) are now
two-fold generic. The floating point like type used during
computation may now be overwritten.
This is a breaking change, as the newNumContext procedure must now
be given two generic arguments. For most procedures the signature
was only extended to use float as the secondary type, leaving them
as taking single generic arguments.
adapdiveGauss is an exception and thus now requires the user to
hand both types.
- transition for
adaptiveGauss: Calling as:adaptiveGauss[T, float](...)will produce the old behavior. In the future a nicer interface may be designed. - transition for
newNumContext: Calling as:newNumContext[T, float]will produce the old behavior.
This change was a step towards a more (likely concept based) interface
for SciNim libraries for better interop. It allows for example to
integrate over a Measurement.
- fixes an issue that might arise if 2D interpolation is used together with multithreading where the Nim compiler gets confused about GC unsafety (#23)
- Added
linear1d - Added
barycentric2dwhich works on non-gridded data.