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# pracma NEWS ## pracma 2.2.5 (2019-04-08) * fsolve() and broyden() are no longer applicable to univariate functions (Morrison-Sherman formula not working in this case). * Alias cgmin() and option 'dfree=F' in fminsearch() are removed, both have been deprecated since half a year. ## pracma 2.2.4 (2018-12-12) * qpsolve() minimizes quadratic forms such as 0.5*t(x)*x-d*x with linear quality and inequality constraints. * fmincon() now has an 'augmented Lagrangian' option with a 'variable metric' approach as inner solver. ## pracma 2.2.3 (2018-12-10) * linearproj() linear projection onto a linear subspace, and affineproj() linear projection onto an affine subspace of R^n. ## pracma 2.2.2 (2018-11-30) * Corrected "length > 1 in coercion to logical" in expm(). ## pracma 2.2.1 (2018-11-30) * fminunc() unconstrained minimization of nonlinear objective function, based on stripped-down 'Rvmmin' code by John Nash. * 'fmincon()' minimization of nonlinear objective function with constraints; wraps suggested package NlcOptim with SQP method. ## pracma 2.2.0 (2018-11-27) * Reintroduced 'nelder_mead()' and 'hooke_jeeves()'. * fminsearch() now calls 'Nelder-Mead' or 'Hooke-Jeeves', i.e., derivative-free methods only; 'dfree=F' gets deprecated. ## pracma 2.1.9 (2018-11-22) * Renamed 'cgmin()' to its original name 'fletcher_powell', alias 'cgmin' is deprecated since this version. * Removed alias 'normest2' that was anyway non-existing. ## pracma 2.1.8 (2018-10-16) * Corrected a bug in hessenberg() reported by Ben Ubah. ## pracma 2.1.7 (2018-09-24) * Removed the deprecated 'rortho' function, use randortho() instead. ## pracma 2.1.6 (2018-09-09) * Si(), Ci() sine and cosine integral functions added. * Added dot notation for brent(), bisect(), newton(), halley(), and ridders() -- on request of John Nash for the histRalg project. ## pracma 2.1.4 (2018-01-29) * shubert() implements one-dimensional Shubert-Piyavskii method. * fminsearch() and anms() stop for one-dimensional minimization. ## pracma 2.1.3 (2018-01-23) * bsxfun() now uses sweep() for matrices in search of higher speed. * direct1d() removed because slow and not effective. ## pracma 2.1.2 (2018-01-21) * poisson2disk() approximate Poisson disk distribution * Corrected small bug in findpeaks(), reported by Mike Badescu. ## pracma 2.1.1 (2017-11-21) * Added a field "Authors@R" in the DESCRIPTION, deleted others. * Added README.md and NEWS.md (for a future Github repository). * Needed a new version for resubmitting (because of 'survivalsvm') ## pracma 2.1.0 (2017-11-20) * Package 'quadprog' is now suggested, not imported; the functions quadprog() and lsqlincon() work only when 'quadprog' is installed. ## pracma 2.0.9 (2017-09-21) * Package byte-compiled on loading (Requires R version >= 3.1.0). ## pracma 2.0.8 (2017-09-20) * findpeaks() function not checking for NAs (reported by Wesley Burr). * fplot() extra parameters were not handed over to plotting routine. ## pracma 2.0.7 (2017-06-17) * bernstein() generates the Bernstein polynomial B_,_(). * legendre(n,_) corrected for n=0, thanks to Peter W. Marcy. * cgmin() alias for fletcher_powell(), a constraint gradient method. ## pracma 2.0.6 (2017-06-06) * polyvalm() evaluates a polynomial in the matrix sense. * arnoldi() Arnoldi iteration (incl. Hessenberg matrix). ## pracma 2.0.5 (2017-04-30) * integral() redesigned, less methods, several starting intervals with regular or random intermediate nodes (similar to MATLAB). * quadgr() corrected as functions vectorized with Vectorize() did not behave as expected with apply(); still needs vectorization. * Help page of quadgk() did not mention the need for vectorization. ## pracma 2.0.4 (2017-04-01) * hessenberg() computes the Hessenberg form of a matrix through Householder transformations (this is named hess() in MATLAB). ## pracma 2.0.3 (2017-03-23) * Corrected functions with conditions in control statements with conditions of length greater than one: rem(). ## pracma 2.0.2 (2017-02-23) * isposdef() test for positive definiteness of a (real) matrix. * hooke_jeeves() removed; similar implementations are available in packages 'dfoptim::hjk[b]' and 'adagio::hookejeeves'. ## pracma 2.0.1 (2017-02-06) * nelder_mead() replaced by an adaptive Nelder-Mead implementation, anms(), following F. Gao and L. Han. * fminsearch() now calls this new version of Nelder-Mead. ## pracma 2.0.0 (2017-01-26) * incgam(x,a) computes the incomplete upper gamma function using the R function pgamma for higher precision than gammainc(). * Corrected a small oversight in hurstexp(), thnx George Ostrouchov. ## pracma 1.9.9 (2017-01-10) * Slightly changed the description lines on request of CRAN. ## pracma 1.9.8 (2017-01-10) * whittaker() finally implemented avoiding the sparse matrix package. * nelder_mead() now applies adaptive parameters for the simplicial search, depending on the dimension of the problem space. * psinc(x,n), the so-called periodic sinc function. ## pracma 1.9.7 (2016-12-14) * shooting() implements the shooting method for boundary value problems of second order differential equations. * interp2() corrected the help page with size(z) = length(y)*length(x). * Corrected a small oversight on the help page of Gauss-Laguerre. ## pracma 1.9.6 (2016-09-11) * haversine() Haversine formula for geographical distances on earth. * trigonometric functions accepting degrees instead of inputs in radians: sind cosd tand cotd secd cscd asind acosd atand acotd asecd acscd atan2d ## pracma 1.9.5 (2016-09-06) * fprintf() mimicks MATLAB's function of the same name. * Added ezsurf(), an easy surface plot following MATLAB. * fplot() is almost an alias for ezplot(); please note that in future versions ez...() will be renamed to f...() according MATLAB 2016/17. ## pracma 1.9.4 (2016-07-27) * rortho() renamed to randortho(), the underlying code was buggy (not truely random) and has been replaced, thanks to Jan Tuitman. * an error in the final step of calculating approx_energy() was corrected, thanks to Daniel Krefl. ## pracma 1.9.3 (2016-05-28) * bvp() now solves boundary value problems for linear 2nd order ODEs using a 'finite differences' approach and a tridiagonal solver. * polyfit2() has been removed, use polyfix() instead. ## pracma 1.9.2 (2016-03-04) * romberg() corrected an error estimation that diminished the accuracy. * trapzfun() realizes trapezoidal integration with iterated calculations. ## pracma 1.9.1 (2016-02-15) * fractalcurve() generates some fractal curves of order n, i.e. the Hilbert, Sierpinski, Snowflake, Dragon, and Molecule curves. * ode23(), ode23s() changed the size of the returned components, now it is similar to what is returned by ode45() and ode78(). * arclength() corrected a boundary condition ('on the left'), added an example how to generate an arc-length parametrization of a curve. ## pracma 1.9.0 (2015-12-17) * quadprog() solves quadratic programming problems (QP) with linear equality and inequality constraints, based on package 'quadprog'. * lsqlincon() solves linear least-squares problems with linear equality and inequality constraints (as well as bound constraints). * pracma now imports package 'quadprog'. ## pracma 1.8.9 (2015-12-05) * polyfix() fits a polynomial that exactly passes through given fixed points. polyfit2() will be deprecated in future versions. * Important bug fix for polyApprox() (thanks to Max Marchi). ## pracma 1.8.8 (2015-10-28) * Option 'minpeakdistance' for function findpeaks() added (thanks to Razvan Chereji for providing a workable approach). ## pracma 1.8.7 (2015-07-20) * Removed invperm(). * 'linear' is now the default method for interp1(). * Cases n = 0, 1 for legendre() corrected (thanks to Nuzhdin Yury). ## pracma 1.8.6 (2015-07-11) * Removed two non-existing links pointing to Gander's pages at the ETHZ. * Removed a link explaining approximate entropy. ## pracma 1.8.5 (2015-07-07) * Added 'Imports' field in description and 'import' in namespace, as requested for the new R development version. * strrep() renamed to strRep(), because of a new function in R Base. ## pracma 1.8.4 (2015-06-25) * bernoulli() calculates the Bernoulli numbers and polynomials. * factorial2() the product of all even resp. odd integers below n. ## pracma 1.8.3 (2015-02-08) * Deleted some URLs that were not working properly anymore. ## pracma 1.8.2 (2015-02-07) * Special functions gathered under topics 'specfun' resp. 'specmat'. ## pracma 1.8.1 (2015-02-06) * sumalt() accelerating (infinite) alternating sums. * Option 'fast=FALSE' in circlefit() to avoid optim(). * Added Gauss' AGM-based computation of pi to agmean(). ## pracma 1.8.0 (2015-01-26) * hurstexp() amended for vectors of uneven length. ## pracma 1.7.9 (2014-11-15) * qpspecial() special quadratic programming solver. * Reintroduces the 'tol' keyword in fminbnd() for compatibility. ## pracma 1.7.8 (2014-11-10) * bulirsch_stoer() Bulirsch-Stoer method for solving *rdinary differential equations with high accuracy. * midpoint() implements the midpoint rule for solving ODEs combined with Richardson extrapolation for high accuracy. ## pracma 1.7.7 (2014-11-01) * lufact() LU factorization with partial pivoting; lusys() solves linear systems through Gaussian elimination. ## pracma 1.7.6 (2014-10-30) * ode23s() for stiff ordinary differential equations refining Rosenbrock's method (supply Jacobian if available). * euler_heun() Euler-Heun ODE solver has been corrected. ## pracma 1.7.5 (2014-10-20) * fminbnd() much improved implementation of Brent's method; added challenging example by Trefethen to the help page. * lambertWn() for the second (real) branch of Lambert W. * Function name alias cintegral() removed. ## pracma 1.7.4 (2014-10-13) * hooke_jeeves() replaced by a much more efficient implementation and equipped with a special approach to bound constraints. * 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. ## pracma 1.7.3 (2014-10-11) * quadinf() now uses the double exponential method with the tanh-sinh quadrature scheme for (semi-)infinite intervals. * Removed the not-exported and too slow .quadcc() function. * brent() alias for brentDekker(), newton() for newtonRaphson(). ## pracma 1.7.2 (2014-09-08) * pchipfun() function wrapper around pchip(); missing error handling in pchip() was added. * hurst() removed, functionality merged with hurstexp(). * Nile overflow data set 1871--1984 added as time series. ## pracma 1.7.1 (2014-08-12) * bits() binary representation of a number as string. * agmean() returns AGM, no of iterations, and estimated precision. * trapz() tiny improvement on error handling. ## pracma 1.7.0 (2014-06-30) * ode45() ODE solver using Dormand-Prince (4,5) coefficients. * ode78() ODE solver using Fehlberg (7,8) coefficients. * cintegral() renamed to line_integral(). ## pracma 1.6.9 (2014-06-14) * Version 1.6.8 "Failed to build" on R-Forge. [Maybe it's time to move pracma to a github repository.] ## pracma 1.6.8 (2014-06-07) * nelmin() a more efficient and accurate version of Nelder-Mead. * nelminb() Nelder-Mead in bounded regions (applies a transformation). ## pracma 1.6.7 (2014-05-23) * trisolve() stopping for singular tridiagonal matrices. * romberg() slightly improved accuracy and speed. ## pracma 1.6.6 (2014-04-12) * Corrected rref() (as pointed out by Peter Audano). ## pracma 1.6.5 (2014-02-24) * lsqnonneg() changed to an active-set approach. * bisect() trimmed bisection to return almost exact results. ## pracma 1.6.4 (2014-02-05) * halley() Halley's variant of the Newton-Raphson method. * numderiv() corrected Richardson's method by breaking the loop. ## pracma 1.6.3 (2014-01-25) * lambertWp() improved inner accuracy from 1e-12 to 1e-15. * complexstepJ() renamed to jacobian_csd(); introduced grad_csd(). * hessian_csd() applies Richardson's method as the second step, and the same for laplacian_csd(). ## pracma 1.6.2 (2014-01-19) * Removed zeroin(); for fzero() a variation of Brent-Dekker is used, that applies cubic instead of quadratic interpolation. * Corrected an oversight in newtonRaphson(). * brentDekker() returns a list now. ## pracma 1.6.1 (2014-01-14) * samp_entropy() complements approx_entropy() for short time series. * Removed NEWS.Rd and NEWS.pdf in favour of NEWS. ## pracma 1.6.0 (2013-12-06) * integral3() now handles functions as inner interval limits. * poly_crossings() calculates crossing points of two polygons. * erfz() complex error function vectorized (thanks to Michael Lachmann). ## pracma 1.5.9 (2013-11-30) * muller() implements Muller's root-finding method [Mueller, 1956], especially suited for polynomials and complex functions. * Inserted a safeguard for the distmat() function to prevent different results on Mac OS X, (Ubuntu) Linux, and Windows operating systems. * Removed pltcross() and kmeanspp(). ## pracma 1.5.8 (2013-11-28) * interp1() with option method ``spline'' now computes Moler's spline functions, for compatibility with MATLAB (hint by Boudewijn Klijn). ## pracma 1.5.7 (2013-10-11) * Corrected parameter 'waypoints' in cintegral(). ## pracma 1.5.6 (2013-09-22) * odregress() orthogonal distance (or: total least-squares) regression. * Changed maintainer name to its long form (CRAN request). ## pracma 1.5.5 (2013-09-11) * L1linreg() L1 (a.k.a. LAD or median) linear regression. * geo_median() geometric median (minimizes sum of distances). ## pracma 1.5.4 (2013-08-31) * rectint() rectangular intersection areas (MATLAB style). * cumtrapz() cumulative trapezoidal integration (MATLAB style). * Some corrections to help pages and function names. ## pracma 1.5.3 (2013-08-25) * arclength() length of a parametrized curve in n-dimensional space, w/ improved convergence by applying Richardson's extrapolation method. * legendre() associated Legendre functions (MATLAB style). ## pracma 1.5.2 (2013-08-23) * poly_center() calculates the center coordinates of a polygon. * poly_length() calculates the (euclidean) length of a polygon. * polyarea() corrected, returns the true, not the absolute value. ## pracma 1.5.1 (2013-08-19) * fsolve() will use broyden() if m = n; fzsolve() the same; additionally, improved broyden() and gaussNewton(). * ezplot() can draw markers on the line, with equal distances measured along the curve length. ## pracma 1.5.0 (2013-08-08) * gmres() generalized minimum residual method. * nearest_spd() finds nearest symmetric positive-definite matrix. * eps() floating point relative accuracy. ## pracma 1.4.9 (2013-07-16) * lapacian() now works in n dimensions, not only for n = 2. * mldivide(), mrdivide() corrected a severe typo. * numderiv(), numdiff() start with h = 1/2 instead of h = 1. * figure() platform-independent by using dev.new(). ## pracma 1.4.8 (2013-06-17) * findzeros() now finds 'quadratic' roots, too. * pdist2() added as an alias for distmat(), while pdist(X) now is distmat(X, X) (MATLAB style). ## pracma 1.4.7 (2013-05-20) * histcc() histogram with optimized number of bins. * Example of correction term for the trapz() integration. ## pracma 1.4.6 (2013-03-31) * psi() Psi polygamma function (MATLAB style). * rosenbrock() and rastrigin() functions removed. ## pracma 1.4.5 (2013-03-21) * quadcc() new, iterative Clenshaw-Curtis quadrature. * squareform() formats distance matrix (MATLAB style). ## pracma 1.4.4 (2013-03-12) * integral2() implements the two-dimensional numerical integration approach `TwoD', i.e. Gauss-Kronrod (3, 7)-points on rectangles. * integral3() three-dimensional integration based on integral2(). * triplequad() 3-dim. integration based on dblquad() (MATLAB style). ## pracma 1.4.3 (2013-03-10) * integral() combines adaptive numerical integration procedures. * cintegral() complex line integrals (rectangles and curves). ## pracma 1.4.2 (2013-03-03) * linprog() linear programming solver for linear equality and inequality constraints. ## pracma 1.4.1 (2013-02-20) * romberg() Romberg integration completely rewritten. * idivide() integer division with different roundings. ## pracma 1.4.0 (2013-02-10) * fderiv(), taylor() expanded to higher orders. * itersolve() iteration methods for solving linear systems. * lu() LU decomposition with different schemes (w/o pivoting). ## pracma 1.3.9 (2013-01-26) * pdist() as an alias for distmat() (MATLAB style). * fftshift(), ifftshift() shifting Fourier frequencies. * Improved grad(), jacobian(), hessian(), and laplacian(). ## pracma 1.3.8 (2013-01-10) * Smaller corrections, e.g., removed deprecated 'is.real'; no startup messages anymore. * geomean(), harmmean(), trimmean() geometric, harmonic, and trimmed arithmetic mean (MATLAB style). * agmean() algebraic-geometric mean. ## pracma 1.3.7 (2013-01-07) * mexpfit() multi-exponentiell fitting, separating linear and nonlinear parts of the problem. ## pracma 1.3.6 (2013-01-06) * lsqsep() separable least-squares fitting. * lsqcurvefit() nonlinear least-squares curve fitting. ## pracma 1.3.5 (2013-01-05) * cd(), pwd() directory functions (MATLAB style). * rand(), randn() changed to accept size() as input. * whos(), what() corrected for empty lists resp. directories. ## pracma 1.3.4 (2012-12-19) * what(), who(), whos(), ver() (MATLAB style). * semilogx(), semilogy(), loglog() logarithmic plots (MATLAB style) ## pracma 1.3.3 (2012-12-12) * quadv() vectorized integration. * ezpolar() easy access to the polar() function. * sortrows() sorting rows of matrices (MATLAB style). * null() alias for nullspace function (MATLAB style). * eigjacobi() Jacobi's method for eigenvalues and eigenvectors. ## pracma 1.3.2 (2012-12-08) * ellipke(), ellipj() elliptic and Jacobi elliptic integrals. * expint() implements E1 and Ei, the exponential integrals, with aliases expint_E1() and expint_Ei(). * li() the logarithmic integral (w/o offset). ## pracma 1.3.1 (2012-12-06) * Explicitely listing about 200 MATLAB-emulating function( name)s. * Dismissed matlab(), using it now for infos only, not assigning any MATLAB function names to the environment (because of CRAN policies). ## pracma 1.3.0 (2012-12-05) * cot(), csc(), sec() cotangens, cosecans, and secans functions. * acot(), acsc(), asec() inverse cotangens, cosecans, secans functions. * coth(), csch(), sech() hyperbolic cotangens, cosecans, secans functions. * acoth(), acsch(), asech() inverse hyperbolic cotangens, cosecans, and secans functions. ## pracma 1.2.9 (2012-12-02) * bvp() changed to solve second order boundary value problems. * trisolve() solves tridiagonal linear equation systems. * curvefit() fits points in the plane with a polynomial curve. ## pracma 1.2.8 (2012-11-30) * lsqlin() least-squares solver with linear equality constraints. * pinv() now works like MASS::ginv() for singular matrices. * Added the end-';' feature to str2num(). * toc() added invisible return value. ## pracma 1.2.7 (2012-11-22) * procrustes() solving the Procrustes problem, and kabsch() implements the Kabsch algorithm. * kriging() ordinary and simple Kriging interpolation. * Corrected some stupid errors in str2num(). ## pracma 1.2.6 (2012-11-11) * akimaInterp() univariate Akima interpolation. * Moved transfinite() to package 'adagio'. ## pracma 1.2.5 (2012-10-28) * histc() Histogram-like counting (MATLAB style). * Added warning to complexstep() if imaginary part is zero. ## pracma 1.2.4 (2012-10-25) * Added option 'pinv' to mldivide() to return same results as MATLAB. * str2num(), num2str() conversion functions (MATLAB style). * Removed some 'author' entries on help pages. ## pracma 1.2.3 (2012-10-17) * Renamed mrank() to Rank(). * Corrected nullspace() [thanks to Stephane Laurent], which now agrees with Octave's null() function (MASS:Null appears buggy, too). * Corrected gaussNewton() and fsolve() [thanks to Etienne Chamayou]. ## pracma 1.2.2 (2012-10-10) * bsxfun() apply binary function elementwise (MATLAB style). * added the analytic solution for the example in bvp(). ## pracma 1.2.1 (2012-09-28) * rosenbrock() added, moved testfunctions to 'adagio' package. * euler_heun() improved Euler method for solving ODEs. * logit() function added to sigmoid(). * Keyword 'ode' introduced. ## pracma 1.2.0 (2012-09-27) * matlab() can reinstall MATLAB function names. ## pracma 1.1.9 (2012-09-25) * gcd(), lcm() greatest common divisor, least common multiple now working on a vector of integers. * 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). ## pracma 1.1.8 (2012-09-19) * ezcontour(), ezmesh() wrappers for contour(), image(), persp(). * erfi() imaginary error function. ## pracma 1.1.7 (2012-08-06) * moler() Moler matrix ## pracma 1.1.6 (2012-07-20) * Removed '.Rapphistory' from the tests directory (again) [and use "--as-cran" for the checks]. * disp() display text or array (MATLAB Style), i.e. cat() with newline. ## pracma 1.1.5 (2012-07-18) * 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. ## pracma 1.1.4 (2012-06-26) * gammainc() (lower and upper) incomplete gamma function, also the regularized gamma function, all allowing negative x values. * polylog() the polylogarithm functions for |z| < 1 and n >= -4 . ## pracma 1.1.3 (2012-06-17) * fminsearch() now implements Nelder-Mead (similar to optim), and Fletcher-Powell when "dfree=FALSE" is chosen. * Test functions rosenbrock() and rastrigin(). ## pracma 1.1.2 (2012-06-13) * nelder_mead() implements Nelder-Mead for nonlinear optimization. * hooke-jeeves() Hooke-Jeeves algorithm for direct search. * fletcher_powell() Davidon-Fletcher-Powell method for function minimization (alternative to BFGS approach). * steep_descent() minimization of functions using steepest descent. ## pracma 1.1.1 (2012-06-10) * fminbnd() now implements Brent's function minimization algorithm with golden section search and parabolic interpolation (same as optimize). * transfinite() transformation function between bounded and unbounded (box constraint) regions. ## pracma 1.1.0 (2012-06-06) * hurst(), hurstexp() calculate the Hurst exponent of a time series. * Updated the NEWS.Rd file. ## pracma 1.0.9 (2012-06-03) * lsqnonneg() solves nonnegative least-squares problems by using the trick "x --> exp(x)" and applying lsqnonlin(); example function lsqcurvefit() for nonlinear curve fitting. * Renamed ridder() to ridders(), thanks to Robert Monfera for pointing it out (he also suggested a multi-dimensional variant). ## pracma 1.0.8 (2012-05-22) * movavg() moving average of types "simple", "weighted", "modified", "exponential" (EMA), or "triangular". * modlin() solves modular linear equations. ## pracma 1.0.7 (2012-05-11) * lsqnonlin() solves nonlinear least-squares problems using the Levenberg-Marquardt approach. * renamed froots() to findzeros(), and fmins() to findmins(). ## pracma 1.0.6 (2012-04-21) * fornberg() finite difference (i.e., polynomial) approximation of derivatives for unevenly spaced grid points -- Fornberg's method. ## pracma 1.0.5 (2012-04-15) * randsample() randomly sampling, alias for sample (MATLAB style). * rands() generates uniform random points on an N-sphere. * Added tic(), toc() measuring elapsed time (MATLAB style). * previousPrime() finds the next prime below a number. ## pracma 1.0.4 (2012-04-01) * invlap() computes the inverse Lapacian numerically. * ppfit() piecewise polynomial fitting procedure. ## pracma 1.0.3 (2012-03-21) * cubicspline() interpolating cubic spline (w/ endpoint conditions). * mkpp() and ppval() for piecewise polynomial structures. ## pracma 1.0.2 (2012-03-17) * accumarray() resembles the related MATLAB function more closely. * invperm() returns the inverse of a permutation. * randperm() changed to make it more MATLAB-like. ## pracma 1.0.1 (2012-03-09) * plotyy() corrected right ordinate, prettying the labels. * peaks() peaks function (MATLAB style). ## pracma 1.0.0 (2012-03-01) * Updated the NEWS.Rd file. ## pracma 0.9.9 (2012-02-29) * qrSolve solves overdetermined system of linear equations. * DSCsearch() removed, now in package 'pracopt'. * randp() found a better, non-selective approach. ## pracma 0.9.8 (2012-02-23) * gramSchmidt() modified Gram-Schmidt process. * householder() Householder reflections and QR decomposition. * givens() Givens rotation and QR decomposition. * corrected a small error in ridder() (thanks to Roger Harbord); new example of how to use ridder() with Rmpfr for multiple precision. ## pracma 0.9.7 (2012-02-17) * erf() corrected, erfc() and erfcx() as new functions, including their inverses erfinv() and erfcinv(). * hypot() now numerically more stable (thanks to Jerry Lewis). ## pracma 0.9.6 (2012-01-25) * Changed third example for dblquad() [new Windows toolchain problem]. * Deactivated the test for gammaz() because of problems on Solaris. ## pracma 0.9.5 (2012-01-16) * kmeanspp() kmeans++ clustering algorithm. * hampel() with new option, fuelled by a blog entry of Ron Pearson. ## pracma 0.9.4 (2012-01-08) * DSCsearch() Davies-Swann-Campey search in one dimension. * Improved modpower() through modular exponentiation. added lehmann_test() Lehmann's primality test as example. * Corrected polar() and andrewsplot(). ## pracma 0.9.3 (2011-12-27) * direct1d() one-dimensional version of the DIRECT algorithm for global function minimization. ## pracma 0.9.2 (2011-12-26) * approx_entropy() approximate entropy of a time series. * circshift() circularly shifting arrays (MATLAB Style). ## pracma 0.9.1 (2011-12-12) * plotyy() plots curves with y-axes on both left and right side. * fplot() plots components of a multivariate function. ## pracma 0.9.0 (2011-12-11) * errorbar() routine for plotting error bars in both directions. * whittaker() Whittaker-Henderson smoothing** Not yet running** . * rref() reduced row echelon form. ## pracma 0.8.9 (2011-12-08) * cutpoints() automatically finds cutting points based on gaps. * hausdorff_dist calculates the Hausdorff distance / Hausdorff dimension. * nnz() number of non-zeros elements (MATLAB style). ## pracma 0.8.8 (2011-12-06) * polar() for polar plots (MATLAB style), see the example plots. * andrewsplot() plots Andrews curves in polar coordinates. * Vectorized: cart2sph(), sph2cart(), cart2pol(), pol2cart(). ## pracma 0.8.7 (2011-11-30) * deg2rad(), rad2deg(). * figure() MATLAB style and pltcross() plotting crosses. ## pracma 0.8.6 (2011-11-21) * ridder() Ridder's method for zero finding of univariate functions. ## pracma 0.8.5 (2011-11-19) * 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(). * twinPrimes() twin primes in a given interval, and nextPrime() will find the next higher prime. ## pracma 0.8.4 (2011-11-14) * Transformations between cartesian, spherical, polar and cylindrical coordinate systems: cart2sph(), sph2cart(), cart2pol(), pol2cart(). * randp() uniformly random points in the unit circle. ## pracma 0.8.3 (2011-11-11) * accumarray() grouping elements and applying a function to each group. * uniq() MATLAB-style 'unique' function, allsums() in the examples. * small correction to fsolve(), mentioned on the 'check summary' page. ## pracma 0.8.2 (2011-11-04) * newmark() Newmark's method for solving second order differential equations of the form y''(t) = f(t, y(t), y'(t)) on [t1, t2]. * cranknic() Crank-Nicolson 'ivp' solver, combining the forward and backward Euler methods for ordinary differential equations. ## pracma 0.8.1 (2011-10-30) * Corrected pinv() for (nearly) singular matrices. * Renamed ifactor() to factors(). ## pracma 0.8.0 (2011-10-27) * Minor corrections and improvements to the 'pracma.pdf' manual, incl. numdiff(), refindall(), trigApprox(), and subspace(). ## pracma 0.7.9 (2011-10-22) * spinterp() monotonic (and later on shape-preserving) interpolation following the approach of Delbourgo and Gregory. ## pracma 0.7.8 (2011-10-17) * bvp() solves boundary value problems of the following kind: -u''(x) + c1 u'(x) + c2 u(x) = f(x) for x in [a, b]. ## pracma 0.7.7 (2011-10-14) * primes2(n1, n2) will return all prime numbers betweeen n1 and n2 (without storing the numbers from sqrt(n2) up to n2). ## pracma 0.7.6 (2011-08-05) * gaussNewton() for function minimization and solving systems of nonlinear equations. fsolve() as a wrapper for it. * fzsolve() for root finding of complex functions. * softline() Fletcher's inexact linesearch algorithm. ## pracma 0.7.5 (2011-07-26) * Put NEWS.Rd in the /inst subdirectory (and NEWS.pdf in /doc), thanks to Kurt Hornik; slightly changed the version numbering. ## pracma 0.7-4 (2011-07-22) * rortho() generate random orthogonal matrix of size n. * Titanium data set for testing fitting procedures. ## pracma 0.7-3 (2011-07-15) * erf() and erfc() error and complementary error functions (MATLAB style) as (almost) aliases for pnorm(). * erfz() complex error function. ## pracma 0.7-2 (2011-07-11) * broyden() quasi-Newton root finding method for systems of nonlinear equations. ## pracma 0.7-1 (2011-07-09) * cross() has been vectorized (remark on R-help). ## pracma 0.7-0 (2011-07-07) * Sigmoid and Einstein functions. ## pracma 0.6-9 (2011-07-06) * Runge-Kutta-Fehlberg method of order (5,4). ## pracma 0.6-8 (2011-07-05) * triquad() Gaussian quadrature over triangles. * cotes() Newton-Cotes integration formulae for 2 to 8 nodes. ## pracma 0.6-7 (2011-07-04) * lagrangeInterp(), newtonInterp() Lagrange and Newton polynomial interpolation, neville() Neville's methods. * tril(), triu() extracting triangular matrices (MATLAB style). ## pracma 0.6-6 (2011-07-02) * charpoly() computes the characteristic polynomial, the determinant, and the inverse for matrices that are relativly small, applying the Faddejew-Leverrier method. * 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. ## pracma 0.6-5 (2011-07-01) * Adams-Bashford and Adams-Moulton (i.e., multi-step) methods for ordinary differential equations in function abm3pc(). ## pracma 0.6-4 (2011-06-30) * Changed the description to be more precise about the package. ## pracma 0.6-3 (2011-06-28) * rationalfit() rational function approximation * ratinterp() rational interpolation a la Burlisch-Stoer. ## pracma 0.6-2 (2011-06-26) * pade() Pade approximation. ## pracma 0.6-1 (2011-06-25) * quadgk() adaptive Gauss-Kronrod quadrature. ## pracma 0.6-0 (2011-06-24) * Added differential equation example to expm()'s help page. * Changed NEWS file to become simpler (no subsections). ## pracma 0.5-9 (2011-06-23) * quadl() recursive adaptive Gauss-Lobatto quadrature. * simpadpt() another recursively adaptive Simpson's rule. * Added testing procedures for all integration routines; corrected, refined some of these procedures. ## pracma 0.5-8 (2011-06-20) * quadgr() Gaussian Quadrature with Richardson extrapolation, can handle singularities at endpoints and (half-)infinite intervals. ## pracma 0.5-7 (2011-06-18) * expm() for matrix exponentials. * clenshaw_curtis() the Clenshaw-Curtis quadrature formula. ## pracma 0.5-6 (2011-06-17) * simpson2d() as non-adaptive 2-dimensional Simpson integration. * dblquad() twofold application of internal function integrate(). ## pracma 0.5-5 (2011-06-15) * gaussHermite() and gaussLaguerre() for infinite intervals. * Fresnel integrals fresnelS() and frenelC(). ## pracma 0.5-4 (2011-06-12) * gaussLegendre() computes coefficients for Gauss Quadrature, and quad2d() uses these weights for 2-dimensional integration. * quadinf() wrapper for integrate() on infinite intervals. ## pracma 0.5-3 (2011-06-06) * ode23() solving first order (systems of) differential equations. * barylag2d() 2-dimensional barycentric Lagrange interpolation. ## pracma 0.5-2 (2011-06-04) * interp2() for two-dimensional interpolation. * gradient() now works in two dimensions too. ## pracma 0.5-1 (2011-06-01) * fzero(), fminbnd(), fminsearch(), fsolve() as aliases for uniroot(), optimize(), optim() with Nelder-Mead, newtonsys(). ## pracma 0.5-0 (2011-05-31) * Corrections to help pages. ## pracma 0.4-9 (2011-05-30) * romberg() and gauss_kronrod() for numerical integration. * Richardson's extrapolation in numderiv(), numdiff(). * Discrete numerical derivatives (one dimension): gradient(). ## pracma 0.4-8 (2011-05-28) * Numerical function derivatives: fderiv(), grad(). * Specialized operators: hessian(), laplacian(). * Application: taylor(). ## pracma 0.4-7 (2011-05-27) * plot vector fields: quiver() and vectorfield(). * findintervals(). * Corrections in deval(), deeve(), using findintervals(). ## pracma 0.4-6 (2011-05-26) * Laguerre's method laguerre(). * rk4() and rk4sys() classical fourth order Runge-Kutta. * deval(), deeve() evaluate ODE solutions. ## pracma 0.4-5 (2011-05-24) * Lebesgue coefficient: lebesgue(). * poly2str() for string representation of a polynomial. ## pracma 0.4-4 (2011-05-23) * Dirichlet's eta() and Riemann's zeta() function. * rmserr() different accuracy measures; std_err() standard error. ## pracma 0.4-3 (2011-05-22) * polypow() and polytrans() for polynomials. * polyApprox() polynomial approximation using Chebyshev. * trigPoly(), trigApprox() for trigonometric regression. ## pracma 0.4-2 (2011-05-17) * segm_intersect() and segm_distance() segment distances. * inpolygon(). ## pracma 0.4-1 (2011-05-13) * polyadd() polynomial addition. * conv() and deconv() time series (de)convolution. * detrend() removes (piecewise) linear trends. * ifft() for normalized inverse Fast Fourier Transform. ## pracma 0.4-0 (2011-05-10) * Added tests for functions since version 0.3-7. ## pracma 0.3-9 (2011-05-09) * and() and or(). ## pracma 0.3-8 (2011-05-06) * pchip() and option `cubic' for interp1() interpolation. * The complex gamma functions gammaz(). * hadamard() and toeplitz() matrices. ## pracma 0.3-7 (2011-05-04) * Rank of a matrix, mrank(), and nullspace() for the kernel. * orth(), orthogonal basis of the image space, and subspace() determines the angle between two subspaces. * normest() for estimating the (Frobenius) norm of a matrix, and cond() determines the condition number of a matrix. ## pracma 0.3-6 (2011-04-30) * fact(), more accurate than the R internal function `factorial'. * ezplot() as an alias for curve(), but with option ``fill = TRUE''. * aitken() for accelerating iterations. * Renamed polycnv() to polymul(). * Renamed outlierMAD() to hampel(). ## pracma 0.3-5 (2011-04-23) * Lambert W function lambertWp() for the real principal branch. * ``Complex Step'' derivation with complexstep() and complexstepJ(). ## pracma 0.3-4 (2011-04-21) * Barycentric Lagrange interpolation through barylag(). * polyfit2() fits a polynomial that exactly meets one additional point. * Added more references to the help entry `pracma-package.Rd'. ## pracma 0.3-3 (2011-04-19) * hornerdefl() for also returning the deflated polynomial. * newtonHorner() combining Newton's method and the Horner scheme for root finding for polynomials. * jacobian() computes the Jacobian of a function R^n --> R^m as simple numerical derivative. * newtonsys() applies Newton's method to functions R^n --> R^n with special application to root finding of complex functions. * newton() renamed to newtonRaphson(). ## pracma 0.3-2 (2011-04-17) * Sorting functions: bubbleSort(), insertionSort(), selectionSort(), shellSort(), heapSort(), mergeSort(), mergeOrdered(), quickSort(), quickSortx(), is.sorted(), and testSort(). * Functions from number theory: eulersPhi(), moebiusFun() and the mertensFun(), sigma(), tau(), omega(), and Omega(). ## pracma 0.3-1 (2011-04-16) * Chebyshev polynomials of the first kind: chebPoly(), chebCoeff(), and chebApprox(). ## pracma 0.3-0 (2011-04-09) * New version of NEWS.Rd, NEWS.pdf. * More test functions for root finding and quadrature. ## pracma 0.2-9 * fnorm() and the Runge function runge(). * contfrac(), rat(), and rats() for continuous fractions. * meshgrid() and magic(). ## pracma 0.2-8 * quad() adaptive Simpson quadrature. * Minimum finding with fibsearch() and golden_ratio(). * Root finding with newton(), secant(), and brentDekker(). ## pracma 0.2-7 * Regular expression functions regexp(), regexpi(), regexprep() and refindall(). ## pracma 0.2-6 * String functions blanks(), strtrim(), deblank(), strjust(), strrep(). * interp1() one-dimensional interpolation (incl. spline) ## pracma 0.2-5 * MATLAB functions mode(), clear() and beep(). ## pracma 0.2-4 * primroot() finds the smallest primitive root modulo a given n; needed functions are modpower() and modorder(). * humps() and sinc(): MATLAB test functions. * Root finding through bisection: bisect(), regulaFalsi(). * outlierMAD(), findpeaks(), and piecewise(). * polycnv() for polynomial multiplication. * Functions extgcd(), gcd(), and lcm() have been renamed to extGCD(), GCD(), and LCM() respectively. ## pracma 0.2-3 * strfind(), strfindi(), and findstr(). * circlefit() fitting a circle to plane points. * mldivide() and mrdivide(), emulating the MATLAB backslash operator. ## pracma 0.2-2 * vnorm() vector norm * Warning about a nasty "non-ASCII input" in the savgol.RD file resolved. ## pracma 0.2-1 (2011-03-17) * horner() implementing the horner scheme for evaluating a polynomial and its derivative. * savgol() Savitzki-Golay smoothing and needed pseudoinverse pinv(). ## pracma 0.2-0 * Package renamed to 'pracma' to avoid name clashes with packages such as 'matlab' that are sticking closer to the original. * Added 'pracma-package' section to the manual. ## pracma 0.1-9 (2011-03-13) * reshape(), repmat(), and blkdiag() matrix functions. * combs() chooses all combinations of k elements out of n, and randcomb() generates a random selection. * perms() generates all permutations, randperm() a random permutation. * Pascal triangle as pascal(); nchoosek() returns binomial coefficients. * Some string functions: strcmp(), strcmpi(), strcat(). ## pracma 0.1-8 (2011-03-10) * std() as refinement of the standard deviation function. * ceil() and fix() as aliases for ceiling() and trunc(). [floor() and round() already exist in R.] * Modulo functions mod(), rem() and integer division idiv(). * Integer functions related to the Euclidean algorithm: extgcd(), gcd(), lcm(), coprime(), and modinv(). * distmat() and crossn(), the vector product in n-dimensional space. ## pracma 0.1-7 (2011-03-08) * size(), numel(), ndims(), isempty(), and find(). * eye(), ones(), zeros(). * Functions returning random numbers: rand(), randn(), randi(). * linspace(), logspace(), and logseq() for linearly, logarithmically, and exponentially spaced sequences. ## pracma 0.1-6 (2011-03-06) * Matrix functions mdiag() and mtrace() added. inv() is introduced as an alias for solve() in R. * Generate special matrices hankel(), rosser(), and wilkinson(). kron() is an alias for the R function kronecker(). * Renamed factors() to ifactor() to distinguish it more clearly from factors as used in R. ## pracma 0.1-5 * Added function for flipping or rotating numeric and complex matrices: flipdim(). flipud(), fliplr(), and rot90(). ## pracma 0.1-4 * Added functions for generating sequences of (log-)linearly spaced numeric values: linspace() and logspace(). * Added basic complex functions real(), imag(), conj(), and angle() which are essentially only aliases of the R functions Re(), Im(), *r Conj(). angle() returns the angle of a complex number in radians. The R function Mod() is here only available as abs(). ## pracma 0.1-3 (2011-02-20) * Added compan() function for the `companion' matrix; the eig() function is an alias for the R eigen()values function. * Added the polynomial functions poly(), polyder(), polyfit(), polyint(), and polyval(). * roots() returns real and complex roots of polynomials. * Simplified the trapz() function. ## pracma 0.1-2 * 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! * Added the polyarea() and trapz() functions. ## pracma 0.1-1 * Added some simple functions such as nthroot(), pow2(), and nextpow2(). * dot() and cross() functions for scalar and vector product. * Generate matrices through vander() and hilb(). ## pracma 0.1-0 (Initial Version) ### INSTALLATION * 'pracma' will be a pure R package without using any source code. Therefore, installation will be immediate on all platforms. ### INTENTION * 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.