https://github.com/cran/pracma
Tip revision: 3f1c6b4
NEWS
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pracma                                                                NEWS
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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 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 n1).

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 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
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)

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)

CHANGES IN VERSION 0.6-1 (2011-06-25)

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 Added testing procedures for all integration routines;
corrected, refined some of these procedures.

CHANGES IN VERSION 0.5-8 (2011-06-20)

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 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().

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().

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 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(),
and 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 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
has been 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(). Note that the functions
in the `matlab' package are not exactly mimicking the corresponding
Matlab/Octave functions.
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.