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pracma NEWS
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PLANNED FOR NEXT VERSIONS
o [tbd.]
CHANGES IN VERSION 1.1.0 (2012-06-06)
o hurst(), hurstexp() calculate the Hurst exponent of a time series.
o Updated the NEWS.Rd file.
CHANGES IN VERSION 1.0.9 (2012-06-03)
o lsqnonneg() solves nonnegative least-squares problems by using the
trick "x --> exp(x)" and applying lsqnonlin();
example function lsqcurvefit() for nonlinear curve fitting.
o Renamed ridder() to ridders(), thanks to Robert Monfera for pointing
it out (he also suggested a multi-dimensional variant).
CHANGES IN VERSION 1.0.8 (2012-05-22)
o movavg() moving average of types "simple", "weighted", "modified",
"exponential" (EMA), or "triangular".
o modlin() solves modular linear equations.
CHANGES IN VERSION 1.0.7 (2012-05-11)
o lsqnonlin() solves nonlinear least-squares problems using the
Levenberg-Marquardt approach.
o renamed froots() to findzeros(), and fmins() to findmins().
CHANGES IN VERSION 1.0.6 (2012-04-21)
o fornberg() finite difference (i.e., polynomial) approximation of
derivatives for unevenly spaced grid points -- Fornberg's method.
CHANGES IN VERSION 1.0.5 (2012-04-15)
o randsample() randomly sampling, alias for sample (Matlab style).
o rands() generates uniform random points on an N-sphere.
o Added tic(), toc() measuring elapsed time (Matlab style).
o previousPrime() finds the next prime below a number.
CHANGES IN VERSION 1.0.4 (2012-04-01)
o invlap() computes the inverse Lapacian numerically.
o ppfit() piecewise polynomial fitting procedure.
CHANGES IN VERSION 1.0.3 (2012-03-21)
o cubicspline() interpolating cubic spline (w/ endpoint conditions).
o mkpp() and ppval() for piecewise polynomial structures.
CHANGES IN VERSION 1.0.2 (2012-03-17)
o accumarray() resembles the related Matlab function more closely.
o invperm() returns the inverse of a permutation.
o randperm() changed to make it more Matlab-like.
CHANGES IN VERSION 1.0.1 (2012-03-09)
o agm() example computes pi to an arbitrary number of decimal digits
using the Rmpfr package for variable precision arithmetic.
o plotyy() corrected right ordinate, prettying the labels.
o peaks() peaks function (Matlab style).
CHANGES IN VERSION 1.0.0 (2012-03-01)
o Updated the NEWS.Rd file.
CHANGES IN VERSION 0.9.9 (2012-02-29)
o qrSolve solves overdetermined system of linear equations.
o DSCsearch() removed, now in package 'pracopt'.
o randp() found a better, non-selective approach.
CHANGES IN VERSION 0.9.8 (2012-02-23)
o gramSchmidt() modified Gram-Schmidt process.
o householder() Householder reflections and QR decomposition.
o givens() Givens rotation and QR decomposition.
o corrected a small error in ridder() (thanks to Roger Harbord); new
example of how to use ridder() with Rmpfr for multiple precision.
CHANGES IN VERSION 0.9.7 (2012-02-17)
o erf() corrected, erfc() and erfcx() as new functions,
including their inverses erfinv() and erfcinv().
o hypot() now numerically more stable (thanks to Jerry Lewis).
CHANGES IN VERSION 0.9.6 (2012-01-25)
o Changed third example for dblquad() [new Windows toolchain problem].
o Deactivated the test for gammaz() because of problems on Solaris.
CHANGES IN VERSION 0.9.5 (2012-01-16)
o kmeanspp() kmeans++ clustering algorithm.
o hampel() with new option, fuelled by a blog entry of Ron Pearson.
CHANGES IN VERSION 0.9.4 (2012-01-08)
o DSCsearch() Davies-Swann-Campey search in one dimension.
o Improved modpower() through modular exponentiation.
added lehmann_test() Lehmann's primality test as example.
o Corrected polar() and andrewsplot().
CHANGES IN VERSION 0.9.3 (2011-12-27)
o direct1d() one-dimensional version of the DIRECT algorithm for
global function minimization.
CHANGES IN VERSION 0.9.2 (2011-12-26)
o ApEn() approximate entropy of a time series.
o circshift() circularly shifting arrays (Matlab Style).
CHANGES IN VERSION 0.9.1 (2011-12-12)
o plotyy() plots curves with y-axes on both left and right side.
o fplot() plots components of a multivariate function.
CHANGES IN VERSION 0.9.0 (2011-12-11)
o errorbar() routine for plotting error bars in both directions.
o whittaker() Whittaker-Henderson smoothing ** Not yet running** .
o rref() reduced row echelon form.
CHANGES IN VERSION 0.8.9 (2011-12-08)
o cutpoints() automatically finds cutting points based on gaps.
o hausdorff_dist calculates the Hausdorff distance / Hausdorff dimension.
o nnz() number of non-zeros elements (Matlab style).
CHANGES IN VERSION 0.8.8 (2011-12-06)
o polar() for polar plots (Matlab style), see the example plots.
o andrewsplot() plots Andrews curves in polar coordinates.
o Vectorized: cart2sph(), sph2cart(), cart2pol(), pol2cart().
CHANGES IN VERSION 0.8.7 (2011-11-30)
o deg2rad(), rad2deg()
o figure() Matlab style, and pltcross() plotting crosses.
CHANGES IN VERSION 0.8.6 (2011-11-21)
o ridder() Ridder's method for zero finding of univariate functions.
CHANGES IN VERSION 0.8.5 (2011-11-19)
o sqrtm() matrix square root, based on Denman-Beavers iteration,
rootm() matrix p-th root, computing a complex contour integral,
signm() matrix sign function.
o fzero() now uses the new zeroin() function,
i.e., a Brent-Dekker approach instead of refering to uniroot().
o twinPrimes() twin primes in a given interval, and nextPrime()
will find the next higher prime.
CHANGES IN VERSION 0.8.4 (2011-11-14)
o Transformations between cartesian, spherical, polar and cylindrical
coordinate systems: cart2sph(), sph2cart(), cart2pol(), pol2cart().
o randp() uniformly random points in the unit circle.
CHANGES IN VERSION 0.8.3 (2011-11-11)
o accumarray() grouping elements and applying a function to each group.
o uniq() Matlab-style 'unique' function, allsums() in the examples.
o small correction to fsolve(), mentioned on the 'check summary' page.
CHANGES IN VERSION 0.8.2 (2011-11-04)
o newmark() Newmark's method for solving second order differential
equations of the form y''(t) = f(t, y(t), y'(t)) on [t1, t2].
o cranknic() Crank-Nicolson 'ivp' solver, combining the forward and
backward Euler methods for ordinary differential equations.
CHANGES IN VERSION 0.8.1 (2011-10-30)
o Corrected pinv() for (nearly) singular matrices.
o Renamed ifactor() to factorize().
CHANGES IN VERSION 0.8.0 (2011-10-27)
o Minor corrections and improvements to the 'pracma.pdf' manual,
incl. numdiff(), refindall(), trigApprox(), and subspace().
CHANGES IN VERSION 0.7.9 (2011-10-22)
o spinterp() monotonic (and later on shape-preserving) interpolation
following the approach of Delbourgo and Gregory.
CHANGES IN VERSION 0.7.8 (2011-10-17)
o bvp() solves boundary value problems of the following kind:
-u''(x) + c1 u'(x) + c2 u(x) = f(x) for x in [a, b].
CHANGES IN VERSION 0.7.7 (2011-10-14)
o primes2(n1, n2) will return all prime numbers betweeen n1 and n2
(without storing the numbers from sqrt(n2) up to n2).
CHANGES IN VERSION 0.7.6 (2011-08-05)
o gaussNewton() for function minimization and solving systems of
nonlinear equations. fsolve() as a wrapper for it.
o fzsolve() for root finding of complex functions.
o softline() Fletcher's inexact linesearch algorithm.
CHANGES IN VERSION 0.7.5 (2011-07-26)
o Put NEWS.Rd in the /inst subdirectory (and NEWS.pdf in /doc),
thanks to Kurt Hornik; slightly changed the version numbering.
CHANGES IN VERSION 0.7-4 (2011-07-22)
o rortho() generate random orthogonal matrix of size n.
o Titanium data set for testing fitting procedures.
CHANGES IN VERSION 0.7-3 (2011-07-15)
o erf() and erfc() error and complementary error functions
(Matlab style) as (almost) aliases for pnorm().
o erfz() complex error function.
CHANGES IN VERSION 0.7-2 (2011-07-11)
o broyden() quasi-Newton root finding method for systems of nonlinear
equations.
CHANGES IN VERSION 0.7-1 (2011-07-09)
o cross() has been vectorized (remark on R-help).
CHANGES IN VERSION 0.7-0 (2011-07-07)
o Sigmoid and Einstein functions.
CHANGES IN VERSION 0.6-9 (2011-07-06)
o Runge-Kutta-Fehlberg method of order (5,4).
CHANGES IN VERSION 0.6-8 (2011-07-05)
o triquad() Gaussian quadrature over triangles.
o cotes() Newton-Cotes integration formulae for 2 to 8 nodes.
CHANGES IN VERSION 0.6-7 (2011-07-04)
o lagrangeInterp(), newtonInterp() Lagrange and Newton polynomial
interpolation, neville() Neville's methods.
o tril(), triu() extracting triangular matrices (Matlab style).
CHANGES IN VERSION 0.6-6 (2011-07-02)
o charpoly() computes the characteristic polynomial, the determinant,
and the inverse for matrices that are relativly small, applying the
Faddejew-Leverrier method.
o froots() to find *all* roots (also of second or higher order) of
a univariate function in a given interval. The same with fmins()
to find *all* minima.
CHANGES IN VERSION 0.6-5 (2011-07-01)
o Adams-Bashford and Adams-Moulton (i.e., multi-step) methods
for ordinary differential equations in function abm3pc().
CHANGES IN VERSION 0.6-4 (2011-06-30)
o Changed the description to be more precise about the package.
o droplet_e() generation of digits for the Euler number.
(Should be followed by a function droplet_pi().)
CHANGES IN VERSION 0.6-3 (2011-06-28)
o rationalfit() rational function approximation
o ratinterp() rational interpolation a la Burlisch-Stoer.
CHANGES IN VERSION 0.6-2 (2011-06-26)
o pade() Pade approximation.
CHANGES IN VERSION 0.6-1 (2011-06-25)
o quadgk() adaptive Gauss-Kronrod quadrature.
CHANGES IN VERSION 0.6-0 (2011-06-24)
o muller() Muller's root finding method.
o Added differential equation example to expm()'s help page.
o Changed NEWS file to become simpler (no subsections).
CHANGES IN VERSION 0.5-9 (2011-06-23)
o quadl() recursive adaptive Gauss-Lobatto quadrature.
o simpadpt() another recursively adaptive Simpson's rule.
o Added testing procedures for all integration routines;
corrected, refined some of these procedures.
CHANGES IN VERSION 0.5-8 (2011-06-20)
o quadgr() Gaussian Quadrature with Richardson extrapolation, can
handle singularities at endpoints and (half-)infinite intervals.
CHANGES IN VERSION 0.5-7 (2011-06-18)
o expm() for matrix exponentials.
o clenshaw_curtis() the Clenshaw-Curtis quadrature formula.
CHANGES IN VERSION 0.5-6 (2011-06-17)
o simpson2d() as non-adaptive 2-dimensional Simpson integration.
o dblquad() twofold application of internal function integrate().
CHANGES IN VERSION 0.5-5 (2011-06-15)
o gaussHermite() and gaussLaguerre() for infinite intervals.
o Fresnel integrals fresnelS() and frenelC().
CHANGES IN VERSION 0.5-4 (2011-06-12)
o gaussLegendre() computes coefficients for Gauss Quadrature,
and quad2d() uses these weights for 2-dimensional integration.
o quadinf() wrapper for integrate() on infinite intervals.
o Added a version for rapid pi computation to the agm() examples.
CHANGES IN VERSION 0.5-3 (2011-06-06)
o ode23() solving first order (systems of) differential equations.
o barylag2d() 2-dimensional barycentric Lagrange interpolation.
CHANGES IN VERSION 0.5-2 (2011-06-04)
o interp2() for two-dimensional interpolation.
o gradient() now works in two dimensions too.
CHANGES IN VERSION 0.5-1 (2011-06-01)
o fzero(), fminbnd(), fminsearch(), fsolve() as aliases for
uniroot(), optimize(), optim() with Nelder-Mead, newtonsys().
CHANGES IN VERSION 0.5-0 (2011-05-31)
o Corrections to help pages.
CHANGES IN VERSION 0.4-9 (2011-05-30)
o romberg() and gauss_kronrod() for numerical integration.
o Richardson's extrapolation in numderiv(), numdiff().
o Discrete numerical derivatives (one dimension): gradient().
CHANGES IN VERSION 0.4-8 (2011-05-28)
o Numerical function derivatives: fderiv(), grad().
o Specialized operators: hessian(), laplacian().
o Application: taylor().
CHANGES IN VERSION 0.4-7 (2011-05-27)
o plot vector fields: quiver() and vectorfield().
o findintervals().
o Corrections in deval(), deeve(), using findintervals().
CHANGES IN VERSION 0.4-6 (2011-05-26)
o Laguerre's method laguerre().
o rk4() and rk4sys() classical fourth order Runge-Kutta.
o deval(), deeve() evaluate ODE solutions.
CHANGES IN VERSION 0.4-5 (2011-05-24)
o Lebesgue coefficient: lebesgue().
o poly2str() for string representation of a polynomial.
CHANGES IN VERSION 0.4-4 (2001-05-23)
o Dirichlet's eta() and Riemann's zeta() function.
o rmserr() different accuracy measures; std_err() standard error.
CHANGES IN VERSION 0.4-3 (2001-05-22)
o polypow() and polytrans() for polynomials.
o polyApprox() polynomial approximation using Chebyshev.
o trigPoly(), trigApprox() for trigonometric regression.
CHANGES IN VERSION 0.4-2 (2001-05-17)
o segm_intersect() and segm_distance() segment distances.
o inpolygon().
CHANGES IN VERSION 0.4-1 (2011-05-13)
o polyadd() polynomial addition.
o conv() and deconv() time series (de)convolution.
o detrend() removes (piecewise) linear trends.
o ifft() for normalized inverse Fast Fourier Transform.
CHANGES IN VERSION 0.4-0 (2011-05-10)
o Added tests for functions since version 0.3-7.
CHANGES IN VERSION 0.3-9 (2011-05-09)
o and() and or().
CHANGES IN VERSION 0.3-8 (2011-05-06)
o pchip() and option `cubic' for interp1() interpolation.
o The complex gamma functions gammaz().
o hadamard() and toeplitz() matrices.
CHANGES IN VERSION 0.3-7 (2011-05-04)
o Rank of a matrix, mrank(), and nullspace() for the kernel.
o orth(), orthogonal basis of the image space, and subspace()
determines the angle between two subspaces.
o normest() for estimating the (Frobenius) norm of a matrix, and
cond() determines the condition number of a matrix.
CHANGES IN VERSION 0.3-6 (2011-04-30)
o fact(), more accurate than the R internal function `factorial'.
o ezplot() as an alias for curve(), but with option ``fill = TRUE''.
o aitken() for accelerating iterations.
o Renamed polycnv() to polymul().
o Renamed outlierMAD() to hampel().
CHANGES IN VERSION 0.3-5 (2011-04-23)
o agm() for the arithmetic-geometric mean.
o Lambert W function lambertWp() for the real principal branch.
o ``Complex Step'' derivation with complexstep() and complexstepJ().
CHANGES IN VERSION 0.3-4 (2011-04-21)
o Barycentric Lagrange interpolation through barylag().
o polyfit2() fits a polynomial that exactly meets one additional point.
o Added more references to the help entry `pracma-package.Rd'.
CHANGES IN VERSION 0.3-3 (2011-04-19)
o hornerdefl() for also returning the deflated polynomial.
o newtonHorner() combining Newton's method and the Horner scheme
for root finding for polynomials.
o jacobian() computes the Jacobian of a function R^n --> R^m as simple
numerical derivative.
o newtonsys() applies Newton's method to functions R^n --> R^n with
special application to root finding of complex functions.
o newton() renamed to newtonRaphson().
CHANGES IN VERSION 0.3-2 (2011-04-17)
o Sorting functions: bubbleSort(), insertionSort(), selectionSort(),
shellSort(), heapSort(), mergeSort(), mergeOrdered(), quickSort(),
quickSortx(), is.sorted(), and testSort().
o Functions from number theory: eulersPhi(), moebiusFun() and the
mertensFun(), sigma(), tau(), omega(), and Omega().
CHANGES IN VERSION 0.3-1 (2011-04-16)
o Chebyshev polynomials of the first kind: chebPoly(), chebCoeff(),
and chebApprox().
CHANGES IN VERSION 0.3-0 (2011-04-09)
o New version of NEWS.Rd, NEWS.pdf.
o More test functions for root finding and quadrature.
CHANGES IN VERSION 0.2-9
o fnorm() and the Runge function runge().
o contfrac(), rat(), and rats() for continuous fractions.
o meshgrid() and magic().
CHANGES IN VERSION 0.2-8
o quad() adaptive Simpson quadrature.
o Minimum finding with fibsearch() and golden_ratio().
o Root finding with newton(), secant(), and brentDekker().
CHANGES IN VERSION 0.2-7
o Regular expression functions regexp(), regexpi(), regexprep() and
refindall().
CHANGES IN VERSION 0.2-6
o String functions blanks(), strtrim(), deblank(), strjust(), strrep().
o interp1() one-dimensional interpolation (incl. spline)
CHANGES IN VERSION 0.2-5
o Matlab functions mode(), clear() and beep().
CHANGES IN VERSION 0.2-4
o primroot() finds the smallest primitive root modulo a given n;
needed functions are modpower() and modorder().
o humps() and sinc(): Matlab test functions.
o Root finding through bisection: bisect(), regulaFalsi().
o outlierMAD(), findpeaks(), and piecewise().
o polycnv() for polynomial multiplication.
o Functions extgcd(), gcd(), and lcm() have been renamed to extGCD(),
GCD(), and LCM() respectively.
CHANGES IN VERSION 0.2-3
o strfind(), strfindi(), and findstr().
o circlefit() fitting a circle to plane points.
o mldivide() and mrdivide(), emulating the Matlab backslash operator.
CHANGES IN VERSION 0.2-2
o vnorm() vector norm
o Warning about a nasty "non-ASCII input" in the savgol.RD file resolved.
CHANGES IN VERSION 0.2-1 (2011-03-17)
o horner() implementing the horner scheme for evaluating a polynomial
and its derivative.
o savgol() Savitzki-Golay smoothing and needed pseudoinverse pinv().
RESTARTED AS VERSION 0.2-0
NAME CHANGE
o Package renamed to 'pracma' to avoid name clashes with packages
such as 'matlab' that are sticking closer to the original.
o Added 'pracma-package' section to the manual.
CHANGES IN VERSION 0.1-9 (2011-03-13)
o reshape(), repmat(), and blkdiag() matrix functions.
o combs() chooses all combinations of k elements out of n, and
randcomb() generates a random selection.
o perms() generates all permutations, randperm() a random permutation.
o Pascal triangle as pascal(); nchoosek() returns binomial coefficients.
o Some string functions: strcmp(), strcmpi(), strcat().
CHANGES IN VERSION 0.1-8 (2011-03-10)
o std() as refinement of the standard deviation function.
o ceil() and fix() as aliases for ceiling() and trunc().
[floor() and round() already exist in R.]
o Modulo functions mod(), rem() and integer division idiv().
o Integer functions related to the Euclidean algorithm:
extgcd(), gcd(), lcm(), coprime(), and modinv().
o distmat() and crossn(), the vector product in n-dimensional space.
CHANGES IN VERSION 0.1-7 (2011-03-08)
o size(), numel(), ndims(), isempty(), and find().
o eye(), ones(), zeros().
o Functions returning random numbers: rand(), randn(), randi().
o linspace(), logspace(), and logseq() for linearly, logarithmically,
and exponentially spaced sequences.
CHANGES IN VERSION 0.1-6 (2011-03-06)
o Matrix functions mdiag() and mtrace() added.
inv() is introduced as an alias for solve() in R.
o Generate special matrices hankel(), rosser(), and wilkinson().
kron() is an alias for the R function kronecker().
o Renamed factors() to ifactor() to distinguish it more clearly
from factors as used in R.
CHANGES IN VERSION 0.1-5
o Added function for flipping or rotating numeric and complex
matrices: flipdim(). flipud(), fliplr(), and rot90().
CHANGES IN VERSION 0.1-4
o Added functions for generating sequences of (log-)linearly spaced
numeric values: linspace() and logspace().
o Added basic complex functions real(), imag(), conj(), and angle()
which are essentially only aliases of the R functions Re(), Im(),
or Conj().
angle() returns the angle of a complex number in radians. The R
function Mod() is here only available as abs().
CHANGES IN VERSION 0.1-3 (2011-02-20)
o Added compan() function for the `companion' matrix;
the eig() function is an alias for the R eigen()values function.
o Added the polynomial functions poly(), polyder(), polyfit(),
polyint(), and polyval().
o roots() returns real and complex roots of polynomials.
o Simplified the trapz() function.
CHANGES IN VERSION 0.1-2
o Added functions from number theory: primes(), isprime() and factors().
The corresponding function for factors() in Matlab/Octave is called
factor(), but that name should not be shadowed in R!
o Added the polyarea() and trapz() functions.
CHANGES IN VERSION 0.1-1
o Added some simple functions such as nthroot(), pow2(), and nextpow2().
o dot() and cross() functions for scalar and vector product.
o Generate matrices through vander() and hilb().
INITIAL VERSION 0.1-0
INSTALLATION
o `matlab4r' will be a pure R package without using any source code.
Therefore, installation will be immediate on all platforms.
INTENTION
o This package provides R implementations of more advanced math
functions from Matlab and Octave (and the Euler Math Toolbox)
with a special view on optimization and time series routines.