gadcontainment.m

这是几何代数的matlab工具包

% 	SPANNING AND CONTAINMENT
GAfigure; clc; %/
% 	SPANNING AND CONTAINMENT
%
global x B u; %/
clf; %/
v = e1; %/
w = e2; %/
B = unit(v^w); %/
draw(B, 'y'); %/
GAtext(-0.5*v+0.1*B/I3,'B'); %/
u = B/I3; %/
draw(u,'r'); %/
ut = GAtext(0.7*u-0.08*v,'u'); %/
axis([-0.5 1 -0.5 0.5 -1 1]); %/
axis off; %/
% We span the trivector u^B, 
% and observe its sign and magnitude as u rotates.
% (click on figure)
GAmouse = 1; GAprompt; %/ 
for i = 0:pi/8:pi %/
	x = u*cos(i)+v*sin(i); %/
   T = x^B; %/
   title(['u \wedge B = ' num2str(T/I3) '*I_3']);	%/
   delete(ut); %/
   ut = GAtext(0.7*x+0.08*x/(u^v)*norm(u^v),'u'); %/
   if (T/I3 > 1e-16) %/
      draw(x,'r'); %/
  	else if (T/I3 < -1e-16) %/
         draw(x,'b'); %/
   else %/
		draw(x,'g'); %/
	end %/
	end %/
	axis([-0.5 1 -0.5 0.5 -1 1]); GAprompt; %/ 
end %/
GAmouse = 0; %/