vecSpace

Function for splitting given interval into multiple subintervals, with several strategies. It allows linear, log, manlog, geom, also vectors

function vecSpace replacing multiple functions : linspace(), logspace() and geomspace (inspired from python).

Also, it allows using vectors as inputs ( standard matlab functions linspace and logspace support scalars only).

%%function [points] = vecSpace(x1, x2, n, spaceType)

% This function works as alternative of functions linspace(), logspace() or (geomspace() from python).

% It is easier to remember only 1 function name. Function using original matlab functions, but also supports

% working with x1 and x2 as column vectors.

%

% x1 - is starting column vector of real numbers

% x2 - is ending column vector of real numbers

% n - is number of values - integer (there are 2 outer values (x1 and x2), and n-2 other generated values)

% spaceType - describe type of space

% supported values are:

% "lin" - linear space

% "geom" - geometric space

% "log" - logaritmic space/splitting (from 1e^x1 to 1e^x2)

% "manlog" - logaritmic space/splitting calculated manually (from x1 to x2)

% (it gives different solutions than original logspace() function in Matlab R2020b)

% points - output of function, which separate space <x1,x2> into n-1 intervals

%

% example 1: vecSpace([1;10], [256; 256],9, 'geom')

% 1.0000 2.0000 4.0000 8.0000 16.0000 32.0000 64.0000 128.0000 256.0000

% 10.0000 14.9979 22.4937 33.7357 50.5964 75.8840 113.8099 170.6907 256.0000

%

% example 2: vecSpace([-100;0], [10; 50], 10) % default = linear splitting

% -100.0000 -87.7778 -75.5556 -63.3333 -51.1111 -38.8889 -26.6667 -14.4444 -2.2222 10.0000

% 0 5.5556 11.1111 16.6667 22.2222 27.7778 33.3333 38.8889 44.4444 50.0000

%

% example 3 (from 1e1 to 1e3) : vecSpace(1, 3, 6, 'log')

% 1.0e+03 *

% 0.0100 0.0251 0.0631 0.1585 0.3981 1.0000

%

% example 4: vecSpace(1, 3, 6, 'manlog')

% 1.0000 1.2457 1.5518 1.9332 2.4082 3.0000