Output/Generate a set of points from individual equations - Python, JS, Matlab

Question

I began with a set of coordinates, which I then approximated a function to represent them (Fourier series). The function produced is a sum of sin and cos waves:

0.3sin(2x) + 1.7(sin5x) + 1.8(sin43x)...

I would like to take this new function that I generated and produce a new set of coordinates. How can I generate points for every [INTEGER X Value] say from 0-400?

Note: I have 2 complex (2D) functions.

GOAL: Take a function --> Generate Points from this function for every whole integer.

Answer 1

This uses a function handle and (:) to force a column vector ( (:).' forces a row vector).

The code simply uses the given equation (summing sines and cosines) to calculate a corresponding y coordinate for each given x coordinate.

% MATLAB R2018b
X = 0:400;                                                % x = 0, 1, 2, ..., 400                         
fh = @(x) 0.3*sin(2*x) + 1.7*sin(5*x) + 1.8*sin(43*x);           
Y = fh(X);

P = [X(:) Y(:)];

Note that size(P) returns 401 x 2 . You'll see Y takes on whatever size X is, which is a row vector. X can be declared as as column vector with X = (0:400).' using .' which performs a transpose .

Recommend taking a look at MATLAB's documentation , specifically the Getting Started and Language Fundamentals .

Relevant MATLAB functions: sin ,cos .

Answer 2

Matlab Code

X = 0:400; 
fh = @(x) 0.3*sin(2*x) + 1.7*sin(5*x) + 1.8*sin(43*x); 
Y = fh(X);

P = [X, Y]