Hi Arnold, this is no exact answer, but possibly the reason why:
First, have a look at: \starttext \startbuffer[figure] numeric scf, t[]; 3.2scf=2.4in; path fun; fun:=(0,-1)..(1,.5){right}..(1.9,.2){right}..{curl .1}(3.2,2); fun:=fun scaled scf; drawpath fun; drawpoints fun; \stopbuffer \placefigure [][fig:one] {Caption.} {\processMPbuffer[figure]} \startbuffer[figure] numeric scf, yscl, t[]; 3.2scf=2.4in; path fun; yscl=.1; %keep the function single valued fun:=(0,-1yscl)..(1,.5yscl){right}..(1.9,.2yscl){right}..{curl .1} (3.2,2yscl); fun:=fun scaled scf; drawpath fun shifted (3cm,0cm); drawpoints fun shifted (3cm,0cm); fun:=fun yscaled (1/yscl); drawpath fun shifted (-3cm,0cm); drawpoints fun shifted (-3cm,0cm); \stopbuffer \placefigure [][fig:one] {Caption.} {\processMPbuffer[figure]} \stoptext Let us focus on the first two points. In the upper figure: The horizontal distance between point 1 and 2 is less than the vertical distance. If you want the path from 1 to 2 to be part of a circle, where the "top" of the circle should be at point 2 (whis is so because of the {right} option at point 2) this forces the "leftmost" part of the circle to be in the path and also to be left of point 1. This gives necessary a "multivalued" function In the lower right figure: Now the horizontal distance between point 1 and 2 is greater than the vertical distance. Hence the "leftmost" part of the circle is not in the path and the function gets single valued. This is more or less it. I'm not 100% sure the path from 1 to 2 is part of a circle, but the reason is probably the same. With best regards, Micke P On 4/19/07, David Arnold <[EMAIL PROTECTED]> wrote: > All, > > This example from the Metapost manual is beyond my expertise. The > second figure is sweet, just what I would want. Can anyone wax > philosophic for a bit and explain why the y-scaling keeps the second > function single valued? > > starttext > > \startbuffer[figure] > numeric scf, t[]; > 3.2scf=2.4in; > path fun; > fun:=(0,-1)..(1,.5){right}..(1.9,.2){right}..{curl .1}(3.2,2); > fun:=fun scaled scf; > draw fun; > \stopbuffer > > \placefigure > [][fig:one] > {Caption.} > {\processMPbuffer[figure]} > > \startbuffer[figure] > numeric scf, yscl, t[]; > 3.2scf=2.4in; > path fun; > yscl=.1; %keep the function single valued > fun:=(0,-1yscl)..(1,.5yscl){right}..(1.9,.2yscl){right}..{curl .1} > (3.2,2yscl); > fun:=fun yscaled (1/yscl); > fun:=fun scaled scf; > draw fun; > \stopbuffer > > \placefigure > [][fig:one] > {Caption.} > {\processMPbuffer[figure]} > > \stoptext > _______________________________________________ > ntg-context mailing list > ntg-context@ntg.nl > http://www.ntg.nl/mailman/listinfo/ntg-context > _______________________________________________ ntg-context mailing list ntg-context@ntg.nl http://www.ntg.nl/mailman/listinfo/ntg-context