On 5/12/2024 3:57 PM, Fabrice Couvreur wrote:
Hi,
When I want to draw the curve which corresponds to n=60 (blue curve), it doesn't seem possible: I don't understand.
Thanks
Fabrice

  \startMPpage[offset=1DK]

           numeric u;
           u = 6cm;

           interim linejoin := mitered;
           interim ahangle := 30;

           path xx, yy;
           xx = ( (-0.3,0) -- 1.4 right) scaled u;
           yy = ( (-0.1,0) -- 1.8 right) rotated 90 scaled u;

           def compute_curve(suffix f)(expr xmin, xmax, xinc) =
               ((xmin,f(xmin))
               for x=xmin+xinc step xinc until xmax:
                    .. (x,f(x))
               endfor)
           enddef;


           for i = 1 upto 4:

           vardef f(expr x) =x+exp(-i*x) enddef;

           path curve;

           curve = compute_curve(f,-0.4,1.4,0.0001) scaled u;

           draw curve;

           endfor;

           vardef f(expr x) =x+exp(-6*x) enddef;

           path curve;

           curve = compute_curve(f,-0.4,1.4,0.0001) scaled u;

           draw curve;

           vardef f(expr x) =x+exp(-15*x) enddef;

           path curve;

           curve = compute_curve(f,-0.4,1.4,0.0001) scaled u;

           draw curve;


           vardef f(expr x) =x+exp(-60*x) enddef;

           path curve;

          curve = compute_curve(f,-0.4,1.4,0.0001) scaled u; ->>>>> not drawn

best put a comment before the ->>>>>>>

           draw curve withcolor blue;


           drawarrow (0,0) -- (u,0) withpen pencircle scaled 1.5bp;
           drawarrow (0,0) -- (0,u) withpen pencircle scaled 1.5bp;


           label.urt("A",(0,1u));

           draw xx;
           draw  yy;

           draw (1u,0) -- (1u,1.8u);


           label.llft("0",(0,0));

            vardef mark_y_axis(expr value, name) =
             save p; pair p; p = value * u * up;
             draw (left--right) scaled 1 shifted p;
             label.lft(name, p shifted 2 left);
           enddef;

           for a = 1 upto 1:
             mark_y_axis(a, "");
           endfor

            mark_y_axis(1, "$1$");


          vardef mark_x_axis(expr value, name) =
            save p; pair p; p = value * u * right;
            draw (up--down) scaled 1 shifted p;
            label.bot(name, p shifted 2 down);
          enddef;

          for a = 1 upto 1:
            mark_x_axis(a, "");
          endfor

          mark_x_axis(1, "$1$");


           path rectangle;
          rectangle = (-0.3u,-0.4u) -- (1.3u,-0.4u) -- (1.3u,-0.4u) -- (1.3u,1.4u) -- (-0.3u,1.4u)--cycle;

           clip currentpicture to rectangle;
          \stopMPpage

your exp usage:

  exp(-60*-0.4)

if you see what huge numbers come out of that, like

-51.006602 11100558579.857309 l
-50.989594 11034154639.123087 l
-50.972586 10968147929.149401 l
-50.955579 10902536073.687559 l
-50.938571 10837316710.703716 l

you could imagine a viewer crapping out on that because no matter what one clips it still is 'kind of drawn', so what viewer do you use?

Hans

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                                          Hans Hagen | PRAGMA ADE
              Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
       tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
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