toolbox.jl
Small tools and snippets that I happen to use with julia
Installation
Installation is easy, just type:
Pkg.clone("https://github.com/natj/toolbox.jl.git")
and to load it put on top of your source code
using toolbox
Info
Mathematical & numerical stuff
Integrate vector using weighted mean of two parabolas on each side
integ(x, y)
Cumulative integral using integ
. Also possible to start from zero using different extrapolations (default is :lin
)
cuminteg(x, y[; extrapolate_zero=:lin, :quad, :plaw, :none])
First derivative using weighted parabolas
deriv(x, y)
Cubic or linear interpolation and linear extrapolation
interp(x, y, val[; method=:cubic, :lin])
Binary search for arrays
locate(x, val)
Smooth vector using Gaussian kernel N
times. Also possible to define offset so that only x[offs+1:endoffs1]
is smoothed ensuring proper boundary conditions.
smooth(x[, N=1; offs=3])
andsmooth!(x[, N=1; offs=3])
Smooth vector with Bsplines (DeBoor's algorithm)
şmooth_spline(x, [weights], smoothfactor)
Smooth vector that has a powerlaw behaviour by not smoothing the vector values directly but by smoothing the ratio between it and some reference vector ref
.
şmooth_plaw(x, ref, smoothfactor/N[; offs=3, method=:kernel/:spline])
Nodes and weights for N
point Gaussian quadrature. Returns tuple of (nodes, weights)
gauss_laguerre_nw(N)
gauss_legendre_nw(N)
Exponential integral E_N(x) = int_1^infty e^(x t) dt/ t^N for positive arguments
expi(N, x)
Indexes of an array fulfilling given criteria expr
@where expr
(TODO)
IO & System
Read parameters from config file. Searching for line where param=val
and returns val
.
ReadConf(file, params...)
Throw an error if x has NaN
s in it.

catch_NaN(x)

Modified
read/writeddlm
(TODO)