on demo;
plot(sin x,x=(-3 .. 3));
plot(s=sin phi,phi=(-3 .. 3));
plot(sin phi,cos phi,phi=(-3 .. 3));
plot(sin(1/x),x=(-1 .. 1),y=(-3 .. 3));
plot(sin(1/x),x=(-10 .. 10));
plot(y=tan x,y=(-10 .. 10));
plot (cos sqrt(x**2 + y**2),x=(-3 .. 3),y=(-3 .. 3));
plot (cos sqrt(x**2 + y**2),x=(-3 .. 3),y=(-3 .. 3),hidden3d);
plot(x*y, x=(0 .. 2), y=(0 .. 2));
plot(x*y, x=(-2 .. 2), y=(-2 .. 2));
plot(x+y, x=(0 .. 2), y=(0 .. 2));
plot(1/(x**2+y**2),x=(-0.5 .. 0.5),y=(-0.5 .. 0.5));
plot(1/(x**2+y**2),x=(-0.5 .. 0.5),y=(-0.5 .. 0.5),hidden3d);
plot(1/(x**2+y**2),x=(0.1 .. 5),y=(0.1 .. 5),size="0.7,1");
plot(1/(x**2+y**2),x=(0.1 .. 5),y=(0.1 .. 5),view="30,89");
plot(1/(x**2+y**2),x=(-0.5 .. 0.5),y=(-0.5 .. 0.5),
hidden3d,contour,view="70,20");
% this may be slow on some machines because of
% a delicate evaluation context.
plot(sinh(x*y)/sinh(2*x*y),hidden3d);
%parametric curves and surfaces
plot(point(cos(u),sin(u),0.1*u),u=(0 .. 4*pi),points=100);
plot(point(sin(u)*cos(v),sin(u)*sin(v),cos(u)),u=(0 .. pi),v=(0 .. 2*pi)
,points=60);
% implicit curves and surfaces
plot(x^3+y^3 -3*x*y ={0,1,2,3},x=(-2.5 .. 2),y=(-5 .. 5));
plot(x^2+y^2+z^2-1=0,x=(-1 .. 1),y=(-1 .. 1),points=40);
% equations and parts
wss :=
{{u=(665280*t**6 + 1995840*t**5*x**2 - 3991680*t**5
+ 831600*t**4*x**4 - 9979200
*t**4*x**2 + 19958400*t**4 + 110880*t**3*x**6 - 3326400*t**3*x**4 +
39916800*t**3*x**2 - 79833600*t**3 + 5940*t**2*x**8 - 332640*t**2*x**6 +
9979200*t**2*x**4 - 119750400*t**2*x**2 + 239500800*t**2 + 132*t*x**10 -
11880*t*x**8 + 665280*t*x**6 - 19958400*t*x**4 + 239500800*t*x**2 -
479001600*t + x**12 - 132*x**10 + 11880*x**8 - 665280*x**6 + 19958400*x**4
- 239500800*x**2 + 479001600)/479001600}}$
plot(rhs first first wss,x=(-5 .. 5),t=(-1 .. 1),hidden3d);
% general curves and surfaces computed as lists of data points
plot {{0,0},{0,1},{1,1},{0,0},{1,0},{0,1},{0.5,1.5},{1,1},{1,0}};
on rounded;
w:=for j:=1:200 collect {1/j*sin j,1/j*cos j,j/200}$
plot w;
% the following examples need some computing time
w:= {for j:=1 step 0.1 until 20 collect
{1/j*sin j,1/j*cos j,j},
for j:=1 step 0.1 until 20 collect
{(0.1+1/j)*sin j,(0.1+1/j)*cos j,j}
}$
plot w;
dd:=pi/15;
w:=for u:=dd step dd until pi-dd collect
for v:=0 step dd until 2pi collect
{sin(u)*cos(v), sin(u)*sin(v), cos(u)}$
plot w;
plotreset;
end;