NEWS
------------------------------------------------------------------------------
pracma NEWS
------------------------------------------------------------------------------
CHANGES IN VERSION 2.3.3 (2021-01-22)
o Forgot to correct URL addresses in the Readme.md file.
CHANGES IN VERSION 2.3.2 (2021-01-16)
o Removed and corrected URL addresses from 'http' to 'https'.
CHANGES IN VERSION 2.3.1 (2021-01-13)
o 'ellipke' help page: compute the circumference of an ellipse.
o 'Mode()' now handling all types of NAs (thx. Michael Henry).
CHANGES IN VERSION 2.3.0 (2020-04-09)
o circlefit(): option 'fast' is deprecated and will not be used.
o gammainc(0, a) returns 0, thanks to Mark Chappell for reporting.
o ndims() now returns 1 for vectors and 0 for empty objects.
CHANGES IN VERSION 2.2.9 (2019-12-15)
o Changed URL reference of Abramowitz and Stegun (link missing).
o Fixed warning with the 'try' construct in several functions
using 'if(inherits(e, "try-error"))' (help from Bert Gunter).
o Link to R Base HTML help page gave a warning (for Windows).
CHANGES IN VERSION 2.2.8 (2019-07-09)
o erfi() returns real values when the input values are all real.
o hypot() allows for scalar plus numeric vector as inputs.
CHANGES IN VERSION 2.2.7 (2019-05-21)
o Polynomial division with polydiv(); for two plynomials
polygcf() finds the greatest common factor; and rootmult()
returns the multiplicity of a polynomial root (or 0).
o polyroots() refines the result of roots() in case of roots
with multiplicities (where roots() is quite inaccurate).
CHANGES IN VERSION 2.2.6 (2019-05-02)
o All polynomial functions now accept complex coefficients,
esp. roots() finds roots for complex polynomials.
o Fixed a bug in laguerre() for zeros of complex polynomials.
CHANGES IN VERSION 2.2.5 (2019-04-08)
o fsolve() and broyden() are no longer applicable to univariate
functions (Morrison-Sherman formula not working in this case).
o Alias cgmin() and option 'dfree=F' in fminsearch() are removed,
both have been deprecated since half a year.
CHANGES IN VERSION 2.2.4 (2018-12-12)
o qpsolve() minimizes quadratic forms such as 0.5*t(x)*x - d*x
with linear quality and inequality constraints.
o fmincon() now has an 'augmented Lagrangian' option with a
'variable metric' approach as inner solver.
CHANGES IN VERSION 2.2.3 (2018-12-10)
o linearproj() linear projection onto a linear subspace, and
affineproj() linear projection onto an affine subspace of R^n.
CHANGES IN VERSION 2.2.2 (2018-11-30)
o Corrected "length > 1 in coercion to logical" in expm().
CHANGES IN VERSION 2.2.1 (2018-11-30)
o fminunc() unconstrained minimization of nonlinear objective
function, based on stripped-down 'Rvmmin' code by John Nash.
o fmincon() minimization of nonlinear objective function with
constraints; wraps suggested package NlcOptim with SQP method.
CHANGES IN VERSION 2.2.0 (2018-11-27)
o Reintroduced 'nelder_mead()' and 'hooke_jeeves()'.
o fminsearch() now calls 'Nelder-Mead' or 'Hooke-Jeeves',
i.e., derivative-free methods only; 'dfree=F' gets deprecated.
CHANGES IN VERSION 2.1.9 (2018-11-22)
o Renamed 'cgmin' to its original name 'fletcher_powell',
alias 'cgmin' is deprecated since this version.
o Removed alias 'normest2' that was anyway non-existing.
CHANGES IN VERSION 2.1.8 (2018-10-16)
o Corrected a bug in hessenberg() reported by Ben Ubah.
CHANGES IN VERSION 2.1.7 (2018-09-24)
o Removed the deprecated 'rortho' function, use randortho() instead.
CHANGES IN VERSION 2.1.6 (2018-08-30)
o Si(), Ci() sine and cosine integral functions added.
o Added dot notation for brent(), bisect(), newton(), halley() and
ridders() -- on request of John Nash for the histRalg project.
CHANGES IN VERSION 2.1.5 (2018-08-25)
CHANGES IN VERSION 2.1.4 (2018-01-29)
o shubert() implements one-dimensional Shubert-Piyavskii method.
o fminsearch() and anms() stop for one-dimensional minimization.
CHANGES IN VERSION 2.1.3 (2018-01-23)
o bsxfun() now uses sweep() for matrices in search of higher speed.
o direct1d() removed because slow and not effective.
CHANGES IN VERSION 2.1.2 (2018-01-21)
o poisson2disk() approximate Poisson disk distribution
o Corrected small bug in findpeaks(), reported by Mike Badescu.
CHANGES IN VERSION 2.1.1 (2017-11-21)
o Added a field "Authors@R" in the DESCRIPTION, deleted others.
o Added README.md and NEWS.md (for a future Github repository).
o Needed a new version for resubmitting (because of 'survivalsvm').
CHANGES IN VERSION 2.1.0 (2017-11-20)
o Package 'quadprog' is now suggested, not imported; the functions
quadprog() and lsqlincon() work only when 'quadprog' is installed.
CHANGES IN VERSION 2.0.9 (2017-09-20)
o Package byte-compiled on loading (Requires R version >= 3.1.0).
CHANGES IN VERSION 2.0.8 (2017-09-20)
o findpeaks() function not checking for NAs (reported by Wesley Burr).
o fplot() extra parameters were not handed over to plotting routine.
CHANGES IN VERSION 2.0.7 (2017-06-17)
o bernstein() generates the Bernstein polynomial B_,_().
o legendre(n,_) corrected for n=0 (thanks to Peter W. Marcy).
o cgmin() alias for fletcher_powell(), a constraint gradient method.
CHANGES IN VERSION 2.0.6 (2017-06-06)
o polyvalm() evaluates a polynomial in the matrix sense.
o arnoldi() Arnoldi iteration (incl. Hessenberg matrix).
CHANGES IN VERSION 2.0.5 (2017-04-30)
o integral() redesigned, less methods, several starting intervals
with regular or random intermediate nodes (similar to MATLAB).
o quadgr() corrected as functions vectorized with Vectorize() did
not behave as expected with apply(); still needs vectorization.
o Help page of quadgk() did not mention the need for vectorization.
CHANGES IN VERSION 2.0.4 (2017-04-01)
o hessenberg() computes the Hessenberg form of a matrix through
Householder transformations (this is named hess() in MATLAB).
CHANGES IN VERSION 2.0.3 (2017-03-23)
o Corrected functions with conditions in control statements with
conditions of length greater than one: rem().
CHANGES IN VERSION 2.0.2 (2017-02-23)
o isposdef() test for positive definiteness of a (real) matrix.
o hooke_jeeves() removed; similar implementations are available
in packages 'dfoptim::hjk[b]' and 'adagio::hookejeeves'.
CHANGES IN VERSION 2.0.1 (2017-02-06)
o nelder_mead() replaced by an adaptive Nelder-Mead implementation,
anms(), following F. Gao and L. Han.
o fminsearch() now calls this new version of Nelder-Mead.
CHANGES IN VERSION 2.0.0 (2017-01-26)
o incgam(x,a) computes the incomplete upper gamma function using
the R function pgamma for higher precision than gammainc().
o Corrected a small oversight in hurstexp(), thnx George Ostrouchov.
CHANGES IN VERSION 1.9.9 (2017-01-10)
o Slightly changed the description lines on request of CRAN.
CHANGES IN VERSION 1.9.8 (2017-01-10)
o whittaker() finally implemented avoiding the sparse matrix package.
o nelder_mead() now applies adaptive parameters for the simplicial
search, depending on the dimension of the problem space.
o psinc(x,n), the so-called periodic sinc function.
CHANGES IN VERSION 1.9.7 (2016-12-14)
o shooting() implements the shooting method for boundary value problems
of second order differential equations.
o interp2() corrected the help page with size(z) = length(y)*length(x).
o Corrected a small oversight on the help page of Gauss-Laguerre.
CHANGES IN VERSION 1.9.6 (2016-09-11)
o haversine() Haversine formula for geographical distances on earth.
o trigonometric functions accepting degrees instead of inputs in radians:
sind cosd tand cotd secd cscd
asind acosd atand acotd asecd acscd atan2d
CHANGES IN VERSION 1.9.5 (2016-09-06)
o fprintf() mimicks MATLAB's function of the same name.
o Added ezsurf(), an easy surface plot following MATLAB.
o fplot() is almost an alias for ezplot(); please note that in future
versions ez...() will be renamed to f...() according MATLAB 2016/17.
CHANGES IN VERSION 1.9.4 (2016-07-27)
o rortho() renamed to randortho(), the underlying code was buggy
(not truely random) and has been replaced, thanks to Jan Tuitman.
o an error in the final step of calculating approx_energy() was
corrected, thanks to Daniel Krefl.
CHANGES IN VERSION 1.9.3 (2016-05-28)
o bvp() now solves boundary value problems for linear 2nd order ODEs
using a 'finite differences' approach and a tridiagonal solver.
o polyfit2() has been removed, use polyfix() instead.
CHANGES IN VERSION 1.9.2 (2016-03-04)
o romberg() corrected an error estimation that diminished the accuracy.
o trapzfun() realizes trapezoidal integration with iterated calculations.
CHANGES IN VERSION 1.9.1 (2016-02-15)
o fractalcurve() generates some fractal curves of order n, i.e. the
Hilbert, Sierpinski, Snowflake, Dragon, and Molecule curves.
o ode23(), ode23s() changed the size of the returned components,
now it is similar to what is returned by ode45() and ode78().
o arclength() corrected a boundary condition ('on the left'), added
an example how to generate an arc-length parametrization of a curve.
CHANGES IN VERSION 1.9.0 (2015-12-17)
o quadprog() solves quadratic programming problems (QP) with linear
equality and inequality constraints, based on package 'quadprog'.
o lsqlincon() solves linear least-squares problems with linear equality
*and* inequality constraints (as well as bound constraints).
o pracma now imports package 'quadprog'.
CHANGES IN VERSION 1.8.9 (2015-12-05)
o polyfix() fits a polynomial that exactly passes through given
fixed points. polyfit2() will be deprecated in future versions.
o Important bug fix for polyApprox() (thanks to Max Marchi).
CHANGES IN VERSION 1.8.8 (2015-10-28)
o Option 'minpeakdistance' for function findpeaks() added
(thanks to Razvan Chereji for providing a workable approach).
CHANGES IN VERSION 1.8.7 (2015-07-20)
o Removed invperm().
o 'linear' is now the default method for interp1().
o Cases n = 0, 1 for legendre() corrected (thanks to Nuzhdin Yury).
CHANGES IN VERSION 1.8.6 (2015-07-11)
o Removed two non-existing links pointing to Gander's pages at the ETHZ.
o Removed a link explaining approximate entropy.
CHANGES IN VERSION 1.8.5 (2015-07-07)
o Added 'Imports' field in description and 'import' in namespace,
as requested for the new R development version.
o strrep() renamed to strRep(), because of a new function in R Base.
CHANGES IN VERSION 1.8.4 (2015-06-25)
o bernoulli() calculates the Bernoulli numbers and polynomials.
o factorial2() the product of all even resp. odd integers below n.
CHANGES IN VERSION 1.8.3 (2015-02-08)
o Deleted some URLs that were not working properly anymore.
CHANGES IN VERSION 1.8.2 (2015-02-07)
o Special functions gathered under topics 'specfun' resp. 'specmat'.
CHANGES IN VERSION 1.8.1 (2015-02-06)
o sumalt() accelerating (infinite) alternating sums.
o Option 'fast=FALSE' in circlefit() to avoid optim().
o Added Gauss' AGM-based computation of pi to agmean().
CHANGES IN VERSION 1.8.0 (2015-01-26)
o hurstexp() amended for vectors of uneven length.
CHANGES IN VERSION 1.7.9 (2014-11-15)
o qpspecial() special quadratic programming solver.
o Reintroduces the 'tol' keyword in fminbnd() for compatibility.
CHANGES IN VERSION 1.7.8 (2014-11-10)
o bulirsch_stoer() Bulirsch-Stoer method for solving
ordinary differential equations with high accuracy.
o midpoint() implements the midpoint rule for solving ODEs
combined with Richardson extrapolation for high accuracy.
CHANGES IN VERSION 1.7.7 (2014-11-01)
o lufact() LU factorization with partial pivoting;
lusys() solves linear systems through Gaussian elimination.
CHANGES IN VERSION 1.7.6 (2014-10-30)
o ode23s() for stiff ordinary differential equations refining
Rosenbrock's method (supply Jacobian if available).
o euler_heun() Euler-Heun ODE solver has been corrected.
CHANGES IN VERSION 1.7.5 (2014-10-20)
o fminbnd() much improved implementation of Brent's method;
added challenging example by Trefethen to the help page.
o lambertWn() for the second (real) branch of Lambert W.
o Function name alias cintegral() removed.
CHANGES IN VERSION 1.7.4 (2014-10-13)
o hooke_jeeves() replaced by a much more efficient implementation
and equipped with a special approach to bound constraints.
o nelder_mead() replaced by a much more efficient implementation
and utilizing a transformation to handle bound constraints;
functions nelmin() and nelminb() are not exported anymore.
CHANGES IN VERSION 1.7.3 (2014-10-11)
o quadinf() now uses the double exponential method with the
tanh-sinh quadrature scheme for (semi-)infinite intervals.
o Removed the not-exported and too slow .quadcc() function.
o brent() alias for brentDekker(), newton() for newtonRaphson().
CHANGES IN VERSION 1.7.2 (2014-09-08)
o pchipfun() function wrapper around pchip();
missing error handling in pchip() was added.
o hurst() removed, functionality merged with hurstexp().
o Nile overflow data set 1871--1984 added as time series.
CHANGES IN VERSION 1.7.1 (2014-08-12)
o bits() binary representation of a number as string.
o agmean() returns AGM, no of iterations, and estimated precision.
o trapz() tiny improvement on error handling.
CHANGES IN VERSION 1.7.0 (2014-06-30)
o ode45() ODE solver using Dormand-Prince (4,5) coefficients.
o ode78() ODE solver using Fehlberg (7,8) coefficients.
o cintegral() renamed to line_integral().
CHANGES IN VERSION 1.6.9 (2014-06-14)
o Version 1.6.8 "Failed to build" on R-Forge.
[Maybe it's time to move pracma to a github repository.]
CHANGES IN VERSION 1.6.8 (2014-06-07)
o nelmin() a more efficient and accurate version of Nelder-Mead.
o nelminb() Nelder-Mead in bounded regions (applies a transformation).
CHANGES IN VERSION 1.6.7 (2014-05-23)
o trisolve() stopping for singular tridiagonal matrices.
o romberg() slightly improved accuracy and speed.
CHANGES IN VERSION 1.6.6 (2014-04-12)
o Corrected rref() (as pointed out by Peter Audano).
CHANGES IN VERSION 1.6.5 (2014-02-24)
o lsqnonneg() changed to an active-set approach.
o bisect() trimmed bisection to return almost exact results.
CHANGES IN VERSION 1.6.4 (2014-02-05)
o halley() Halley's variant of the Newton-Raphson method.
o numderiv() corrected Richardson's method by breaking the loop.
CHANGES IN VERSION 1.6.3 (2014-01-25)
o lambertWp() improved inner accuracy from 1e-12 to 1e-15.
o complexstepJ() renamed to jacobian_csd(); introduced grad_csd().
o hessian_csd() applies Richardson's method as the second step,
and the same for laplacian_csd().
CHANGES IN VERSION 1.6.2 (2014-01-19)
o Removed zeroin(); for fzero() a variation of Brent-Dekker is used,
that applies cubic instead of quadratic interpolation.
o Corrected an oversight in newtonRaphson().
o brentDekker() returns a list now.
CHANGES IN VERSION 1.6.1 (2014-01-14)
o samp_entropy() complements approx_entropy() for short time series.
o Removed NEWS.Rd and NEWS.pdf in favour of NEWS.
CHANGES IN VERSION 1.6.0 (2013-12-06)
o integral3() now handles functions as inner interval limits.
o poly_crossings() calculates crossing points of two polygons.
o erfz() complex error function vectorized (thanks to Michael Lachmann).
CHANGES IN VERSION 1.5.9 (2013-11-30)
o muller() implements Muller's root-finding method [Mueller, 1956],
especially suited for polynomials and complex functions.
o Inserted a safeguard for the distmat() function to prevent different
results on Mac OS X, (Ubuntu) Linux, and Windows operating systems.
o Removed pltcross() and kmeanspp().
CHANGES IN VERSION 1.5.8 (2013-11-28)
o interp1() with option method ``spline'' now computes Moler's spline
functions, for compatibility with MATLAB (hint by Boudewijn Klijn).
CHANGES IN VERSION 1.5.7 (2013-10-11)
o Corrected parameter 'waypoints' in cintegral().
CHANGES IN VERSION 1.5.6 (2013-09-22)
o odregress() orthogonal distance (or: total least-squares) regression.
o Changed maintainer name to its long form (CRAN request).
CHANGES IN VERSION 1.5.5 (2013-09-11)
o L1linreg() L1 (a.k.a. LAD or median) linear regression.
o geo_median() geometric median (minimizes sum of distances).
CHANGES IN VERSION 1.5.4 (2013-08-31)
o rectint() rectangular intersection areas (MATLAB style).
o cumtrapz() cumulative trapezoidal integration (MATLAB style).
o Some corrections to help pages and function names.
CHANGES IN VERSION 1.5.3 (2013-08-25)
o arclength() length of a parametrized curve in n-dimensional space,
w/ improved convergence by applying Richardson's extrapolation method.
o legendre() associated Legendre functions (MATLAB style).
CHANGES IN VERSION 1.5.2 (2013-08-23)
o poly_center() calculates the center coordinates of a polygon.
o poly_length() calculates the (euclidean) length of a polygon.
o polyarea() corrected, returns the true, not the absolute value.
CHANGES IN VERSION 1.5.1 (2013-08-19)
o fsolve() will use broyden() if m = n; fzsolve() the same;
additionally, improved broyden() and gaussNewton().
o ezplot() can draw markers on the line, with equal distances
measured along the curve length.
CHANGES IN VERSION 1.5.0 (2013-08-08)
o gmres() generalized minimum residual method.
o nearest_spd() finds nearest symmetric positive-definite matrix.
o eps() floating point relative accuracy.
CHANGES IN VERSION 1.4.9 (2013-07-16)
o lapacian() now works in n dimensions, not only for n = 2.
o mldivide(), mrdivide() corrected a severe typo.
o numderiv(), numdiff() start with h = 1/2 instead of h = 1.
o figure() platform-independent by using dev.new().
CHANGES IN VERSION 1.4.8 (2013-06-17)
o findzeros() now finds 'quadratic' roots, too.
o pdist2() added as an alias for distmat(),
while pdist(X) now is distmat(X, X) (MATLAB style).
CHANGES IN VERSION 1.4.7 (2013-05-20)
o histcc() histogram with optimized number of bins.
o Example of correction term for the trapz() integration.
CHANGES IN VERSION 1.4.6 (2013-03-31)
o psi() Psi polygamma function (MATLAB style).
o rosenbrock() and rastrigin() functions removed.
CHANGES IN VERSION 1.4.5 (2013-03-21)
o quadcc() new, iterative Clenshaw-Curtis quadrature.
o squareform() formats distance matrix (MATLAB style).
CHANGES IN VERSION 1.4.4 (2013-03-12)
o integral2() implements the two-dimensional numerical integration
approach `TwoD', i.e. Gauss-Kronrod (3, 7)-points on rectangles.
o integral3() three-dimensional integration based on integral2().
o triplequad() 3-dim. integration based on dblquad() (MATLAB style).
CHANGES IN VERSION 1.4.3 (2013-03-10)
o integral() combines adaptive numerical integration procedures.
o cintegral() complex line integrals (rectangles and curves).
CHANGES IN VERSION 1.4.2 (2013-03-03)
o linprog() linear programming solver for linear equality and
inequality constraints.
CHANGES IN VERSION 1.4.1 (2013-02-20)
o romberg() Romberg integration completely rewritten.
o idivide() integer division with different roundings.
CHANGES IN VERSION 1.4.0 (2013-02-10)
o fderiv(), taylor() expanded to higher orders.
o itersolve() iteration methods for solving linear systems.
o lu() LU decomposition with different schemes (w/o pivoting).
CHANGES IN VERSION 1.3.9 (2013-01-26)
o pdist() as an alias for distmat() (MATLAB style).
o fftshift(), ifftshift() shifting Fourier frequencies.
o Improved grad(), jacobian(), hessian(), and laplacian().
CHANGES IN VERSION 1.3.8 (2013-01-10)
o Smaller corrections, e.g., removed deprecated 'is.real';
no startup messages anymore.
o geomean(), harmmean(), trimmean() geometric, harmonic, and
trimmed arithmetic mean (MATLAB style).
o agmean() algebraic-geometric mean.
CHANGES IN VERSION 1.3.7 (2013-01-07)
o mexpfit() multi-exponentiell fitting, separating linear and
nonlinear parts of the problem.
CHANGES IN VERSION 1.3.6 (2013-01-06)
o lsqsep() separable least-squares fitting.
o lsqcurvefit() nonlinear least-squares curve fitting.
CHANGES IN VERSION 1.3.5 (2013-01-05)
o cd(), pwd() directory functions (MATLAB style).
o rand(), randn() changed to accept size() as input.
o whos(), what() corrected for empty lists resp. directories.
CHANGES IN VERSION 1.3.4 (2012-12-19)
o what(), who(), whos(), ver() (MATLAB style).
o semilogx(), semilogy(), loglog() logarithmic plots (MATLAB style)
CHANGES IN VERSION 1.3.3 (2012-12-12)
o quadv() vectorized integration.
o ezpolar() easy access to the polar() function.
o sortrows() sorting rows of matrices (MATLAB style).
o null() alias for nullspace function (MATLAB style).
o eigjacobi() Jacobi's method for eigenvalues and eigenvectors.
CHANGES IN VERSION 1.3.2 (2012-12-08)
o ellipke(), ellipj() elliptic and Jacobi elliptic integrals.
o expint() implements E1 and Ei, the exponential integrals, with
aliases expint_E1() and expint_Ei().
o li() the logarithmic integral (w/o offset).
CHANGES IN VERSION 1.3.1 (2012-12-06)
o Explicitely listing about 200 MATLAB-emulating function( name)s.
o Dismissed matlab(), using it now for infos only, not assigning any
MATLAB function names to the environment (because of CRAN policies).
CHANGES IN VERSION 1.3.0 (2012-12-05)
o cot(), csc(), sec() cotangens, cosecans, and secans functions.
o acot(), acsc(), asec() inverse cotangens, cosecans, secans functions.
o coth(), csch(), sech() hyperbolic cotangens, cosecans, secans functions.
o acoth(), acsch(), asech() inverse hyperbolic cotangens, cosecans, and
secans functions.
CHANGES IN VERSION 1.2.9 (2012-12-02)
o bvp() changed to solve second order boundary value problems.
o trisolve() solves tridiagonal linear equation systems.
o curvefit() fits points in the plane with a polynomial curve.
CHANGES IN VERSION 1.2.8 (2012-11-30)
o lsqlin() least-squares solver with linear equality constraints.
o pinv() now works like MASS::ginv() for singular matrices.
o Added the end-';' feature to str2num().
o toc() added invisible return value.
CHANGES IN VERSION 1.2.7 (2012-11-22)
o procrustes() solving the Procrustes problem,
and kabsch() implements the Kabsch algorithm.
o kriging() ordinary and simple Kriging interpolation.
o Corrected some stupid errors in str2num().
CHANGES IN VERSION 1.2.6 (2012-11-11)
o akimaInterp() univariate Akima interpolation.
o Moved transfinite() to package 'adagio'.
CHANGES IN VERSION 1.2.5 (2012-10-28)
o histc() Histogram-like counting (MATLAB style).
o Added warning to complexstep() if imaginary part is zero.
CHANGES IN VERSION 1.2.4 (2012-10-25)
o Added option 'pinv' to mldivide() to return same results as MATLAB.
o str2num(), num2str() conversion functions (MATLAB style).
o Removed some 'author' entries on help pages.
CHANGES IN VERSION 1.2.3 (2012-10-17)
o Renamed mrank() to Rank().
o Corrected nullspace() [thanks to Stephane Laurent], which now agrees
with Octave's null() function (MASS:Null appears buggy, too).
o Corrected gaussNewton() and fsolve() [thanks to Etienne Chamayou].
CHANGES IN VERSION 1.2.2 (2012-10-10)
o bsxfun() apply binary function elementwise (MATLAB style).
o added the analytic solution for the example in bvp().
CHANGES IN VERSION 1.2.1 (2012-09-28)
o rosenbrock() added, moved testfunctions to 'adagio' package.
o euler_heun() improved Euler method for solving ODEs.
o logit() function added to sigmoid().
o Keyword 'ode' introduced.
CHANGES IN VERSION 1.2.0 (2012-09-27)
o matlab() can reinstall MATLAB function names.
CHANGES IN VERSION 1.1.9 (2012-09-25)
o gcd(), lcm() greatest common divisor, least common multiple
now working on a vector of integers.
o Removed number-theoretic functions: eulersPhi(),
moebiusFun(), mertensFun(), sigma(), tau(), omega(), Omega(),
primes2(), twinPrimes(), nextPrime(), previousPrime(),
modpower(), modorder(), modinv(), modlin(),
primroot(), contfrac(), coprime(), GCD(), LCM(), extGCD(),
(these functions are now available in the 'numbers' package).
CHANGES IN VERSION 1.1.8 (2012-09-19)
o ezcontour(), ezmesh() wrappers for contour(), image(), persp().
o erfi() imaginary error function.
CHANGES IN VERSION 1.1.7 (2012-08-06)
o moler() Moler matrix
CHANGES IN VERSION 1.1.6 (2012-07-20)
o Removed '.Rapphistory' from the tests directory (again)
[and use "--as-cran" for the checks].
o disp() display text or array (MATLAB Style), i.e. cat() with newline.
CHANGES IN VERSION 1.1.5 (2012-07-18)
o Renamed functions with capital first letter to avoid name clashes:
mtrace -> Trace, mdiag -> Diag, strtrim -> strTrim, vnorm -> Norm,
reshape -> Reshape, find -> finds, fix -> Fix, poly ->Poly,
mode -> Mode, real -> Real, imag -> Imag, toeplitz -> Toeplitz.
CHANGES IN VERSION 1.1.4 (2012-06-26)
o gammainc() (lower and upper) incomplete gamma function, also the
regularized gamma function, all allowing negative x values.
o polylog() the polylogarithm functions for |z| < 1 and n >= -4 .
CHANGES IN VERSION 1.1.3 (2012-06-17)
o fminsearch() now implements Nelder-Mead (similar to optim), and
Fletcher-Powell when ``dfree=FALSE'' is chosen.
o Test functions rosenbrock() and rastrigin().
CHANGES IN VERSION 1.1.2 (2012-06-13)
o nelder_mead() implements Nelder-Mead for nonlinear optimization.
o hooke-jeeves() Hooke-Jeeves algorithm for direct search.
o fletcher_powell() Davidon-Fletcher-Powell method for function
minimization (alternative to BFGS approach).
o steep_descent() minimization of functions using steepest descent.
CHANGES IN VERSION 1.1.1 (2012-06-10)
o fminbnd() now implements Brent's function minimization algorithm with
golden section search and parabolic interpolation (same as optimize).
o transfinite() transformation function between bounded and unbounded
(box constraint) regions.
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 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 approx_entropy() 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 factors().
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.
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 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.
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 (2011-05-23)
o Dirichlet's eta() and Riemann's zeta() function.
o rmserr() different accuracy measures; std_err() standard error.
CHANGES IN VERSION 0.4-3 (2011-05-22)
o polypow() and polytrans() for polynomials.
o polyApprox() polynomial approximation using Chebyshev.
o trigPoly(), trigApprox() for trigonometric regression.
CHANGES IN VERSION 0.4-2 (2011-05-17)
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 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 'pracma' 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.
