File:Vectors made with Maxima CAS.svg

Summary[edit]

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue

Maxima CAS source code[edit]

/*

Batch file for Maxima CAS
save as a o.mac
run maxima : 
 maxima
and then : 


batch("gradient.mac");

*/
kill(all);
remvalue(all);



/* functions */





/* 
 point of the unit circle D={w:abs(w)=1 } where w=l(t) 
 t is angle in turns 
 1 turn = 360 degree = 2*Pi radians 
*/
give_unit_circle_point(t):= float(rectform(%e^(%i*t*2*%pi)))$

/* circle points */
give_circle_point(center, Radius, t) := center + Radius*give_unit_circle_point(t)$






/* 
vector cfrom c1 to c2 

from draw package : 
vector([x, y], [dx,dy]) 
plots vector [dx, dy] with origin in [x, y]. 

*/
give_vector(c1, c2):=block(
	[x,y,dx,dy],
	
	x: realpart(c1),
	y: imagpart(c1),
	dx : realpart(c2) - x,
	dy : imagpart(c2) - y,
	vector([x, y], [dx,dy])


)$


/* 

circle (Center, Radius )
n points c on the above circle 


*/
give_vectors(Center, Radius, n):=(
	[vv, v,dt, t, c],
	vv:[],
	dt : 1/n,
	t : 0,
	
	while (t <= 1) do (
		c : give_circle_point(Center, Radius,t),
		v : give_vector(Center, c),
		vv: cons(v,vv),
		t : t + dt		
	
	
	
	),
		
	vv




)$

/*
 compile( all); 
 
 */
 



Radius: 3$ /* radius of the circel around center */
n: 10;
Center: 0.5$


vv : give_vectors(Center, Radius, n);


 
path:""$ /*  if empty then file is in a home dir , path should end with "/" */ 
load(draw)$

draw2d(	
	terminal      = svg,
	file_name = sconcat(path, "vectors"),
	
	title = "vectors",
	/*xrange      = [-5,5],
       	yrange      = [5,5],
          */   
        line_width = 2, 
        line_type = solid,
        head_angle = 10, /* the angle, in degrees, between the arrow heads and the segment. Default value: 45 */

  
        head_both = false,
        head_type = filled,
        key = "",
        color = blue,     
        head_length = 1,
	             
	vv            
)$