distance2curve by John D'Errico

Find the closest point on a (n-dimensional) curve to any given point or set of points (arclength, interpolant, distance)

distance2curve(curvexy,mapxy,interpmethod)

Inverse (integrated) gradient by John D'Errico

Vectorized & fully sparse 1-d, 2-d, & 3-d integrated gradients (integration, simpsons rule, gradient)

consolidator(x,y,aggregation_mode,tol)

intgrad1(fx,dx,f1,method)

intgrad2(fx,fy,dx,dy,f11)

HPF - a big decimal class by John D'Errico

High precision floating point arithmetic, a new class written in MATLAB (hpf, multiple precision, big decimal)

Demo script for my High Precision Floating point decimal

hpf_regression_testing

DefaultDecimalBase(DBaseNew)

Inhull by John D'Errico

Efficient test for points inside a convex hull in n dimensions (convex hull, inhull, hull)

inhull(testpts,xyz,tess,tol)

IPDM: Inter-Point Distance Matrix by John D'Errico

An efficient and accurate Inter-Point Distance Matrix (distance, interpoint, distances)

demo_ipdm

ipdm(data1,varargin)

interparc by John D'Errico

Distance based interpolation along a general curve in space (interpolation, spline, linear)

interparc(t,px,py,varargin)

inpaint_nans by John D'Errico

Interpolates (& extrapolates) NaN elements in a 2d array. (utterly crazy memory ..., inpainting, missing values)

(nn(:,1)<1)|(nn(:,1)>n)|(nn(:,2)<1)|(nn(:,2)>m); nn(L,:)...

valid{ind}; end end

inpaint_nans_demo.m

The Fibonacci Sequence by John D'Errico

Efficient computation of Fibonacci and Lucas numbers (fibonacci, lucas, numbers)

fibonacciEvolution

fibonacci(n,modulus)

fibrecur(N)

FresnelS and FresnelC by John D'Errico

Efficient and accurate computation of the Fresnel sine and cosine integrals (fresnel, sine, cosine)

fresnelC(X,fresnelType)

fresnelS(X,fresnelType)

SLM - Shape Language Modeling by John D'Errico

Least squares spline modeling using shape primitives (hermite, slm, cubic)

slm_tutorial

hermite2slm(harray)

plotslm(slm)

fminsearchbnd, fminsearchcon by John D'Errico

Bound constrained optimization using fminsearch (bound constrained, fminsearch, constraint)

fminsearchbnd_demo

fminsearchcon_demo

[x,fval,exitflag,output]=fminsearchcon(fun,x0,LB,UB,A,b,non...

arclength by John D'Errico

Compute the arclength of a general curve in any number of dimensions (arclength, spline, curve)

arclength(px,py,varargin)

A suite of minimal bounding objects by John D'Errico

Suite of tools to compute minimal bounding circles, rectangles, triangles, spheres, incircles, etc. (bounding, perimeter, miminum)

incircle(x,y)

insphere(xyz,tri)

minboundcircle(x,y,hullflag)

putvar, uigetvar by John D'Errico

Move (get or put) variable(s) directly between a function workspace and the base workspace (variable, assign, assignin)

putvar(varargin)

uigetvar(variableclass)

polyfitn by John D'Errico

Polynomial modeling in 1 or n dimensions (polyfit, modeling, regression)

polyfitn_demo

polydern(p,diffvar)

polyfitn(indepvar,depvar,modelterms)

Variable Precision Integer Arithmetic by John D'Errico

Arithmetic with integers of fully arbitrary size. Arrays and vectors of vpi numbers are supported. (integer, biginteger, arithmetic)

demo_vpi

base2vpi(B,base)

bin2vpi(B)

Adaptive Robust Numerical Differentiation by John D'Errico

Numerical derivative of an analytically supplied function, also gradient, Jacobian & Hessian (hessian, jacobian, gradient)

derivest_demo

multivariable_calc_demo

derivest(fun,x0,varargin)

Optimization Tips and Tricks by John D'Errico

Tips and tricks for use of the optimization toolbox, linear and nonlinear regression. (confidence intervals, tutorial, examples)

optimtips

[x,fval,exitflag,output]=fminsearchbnd(fun,x0,LB,UB,options...

consolidator(x,y,aggregation_mode,tol)

INTERPNS by John D'Errico

N-dimensional simplicial interpolation (interp2, linear, interpolant)

interpns(V,Xi,nodelist,method)

Surface Fitting using gridfit by John D'Errico

Model 2-d surfaces from scattered data (interpolation, surface, modeling)

gridfit_demo

gridfit(x,y,z,xnodes,ynodes,varargin)

test_main.m

LSE by John D'Errico

A linear least squares solver, subject to linear equality constraints (least squares, regression, linear regression)

lse(A,b,C,d,solverflag,weights)

Moving window standard deviation by John D'Errico

A (fast) windowed std on a time series (standard deviation, window, std)

movingstd(x,k,windowmode)

Derivative-based Optimization by Nassim Khaled

Derivative-based Optimization using The Gradient Descent (3d, derivative, minimum)

Gradient_Descent_maximum.m

Gradient_Descent_minimum.m

allwords by John D'Errico

Parse a sentence or any string into distinct "words" (string, char, words)

allwords(str,sepchars)

factorpairs by John D'Errico

Generate all pairs of factors N = p*q, p <= q, for positive integer N (factor, factors, divisors)

factorpairs(N)

The divisors of a number, perfect, amicable, and sociable numbers by John D'Errico

Tools to work (and play) with the divisors of a number (divisors, aliquot parts, aliquot sum)

The aliquot parts of a number

aliquotparts(N)

aliquotsum(N,p)

Cold Colormap by Joseph Kirk

Creates a COLD colormap that complements the built-in HOT colormap (colormap, hot, cold)

cold(m)

Eigenshuffle by John D'Errico

Consistently sorted eigenvalue and eigenvector sequences (eigenvalues, eig, order)

eigenshuffle(Asequence)

Circulant matrix by John D'Errico

The circulant matrix generated from a vector as the first row (or first column) (circulant, matrix, toeplitz)

circulant(vec,direction)

Accurate polygon extension by Krispijn Scholte

Enlarges polygon by a specified range. Also generates internal polygons caused by intersections. (computational geometr..., polygon, enlarge)

extendPoly(Polygon,varargin)

Partitions of an integer by John D'Errico

List all partitions of an integer (partitions, integer, partition)

partitions_demo

partitions(total_sum,candidate_set,max_count,fixed_count)

(Block) tri-diagonal matrices by John D'Errico

Generate (block) tridiagonal matrices (block diagonal, tridiagonal, matrices)

blktridiag_demo

blktridiag(Amd,Asub,Asup,n)

Estimatenoise by John D'Errico

Noise variance estimation from a signal vector or array (noise, variance, estimation)

estimatenoise(X,varargin)

Movingslope by John D'Errico

Sliding window regression to compute slope estimates along a curve (slope, moving, sliding)

movingslope(vec,supportlength,modelorder,dt)

Consolidator by John D'Errico

Consolidates common elements in x (may be n-dimensional), aggregating corresponding y. (consolidation, reduction, interpolation)

consolidator(x,y,aggregation_mode,tol)

consolidator13(x,y,aggregation_mode,tol,tolerance_style)

consolidator13(x,y,aggregation_mode,tol,tolerance_style)

Nonlinear Regression Shapes by John D'Errico

Curve fitting, empirical modeling, and an appreciation of shape (regression, nonlinear regression, shape)

fminspleas(funlist,NLPstart,xdata,ydata,INLB,INUB,options)

bestiary.m

shapes.m