Re: [NTG-context] MetaFun: Confusion with `function()` and `xyscaled`

2011-10-22 Thread Hans Hagen

On 21-10-2011 22:53, Aditya Mahajan wrote:

Could someone please explain to me how `xyscaled` works in this case
please. I though `xyscaled (αcm, ζcm)` would set the object/path to a
width of α cm and a height of ζ cm.


IIRC, xysized does that. (I am usually confused between ..sized and
..scaled, but one of them scales to the given dimensions).


scaled is just multiplication so x scaled 1cm is x * 1 * cm which can be 
pretty large


Hans


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Re: [NTG-context] MetaFun: Confusion with `function()` and `xyscaled`

2011-10-21 Thread Paul Menzel
Am Freitag, den 21.10.2011, 01:14 +0200 schrieb Paul Menzel:
 Dear ConTeXt/MetaFun folks,
 
 
 looking at the example for grid and functions in the MetaFun manual [1]
 section 9.3
 
 drawoptions(withpen pencircle scaled .25pt withcolor .5white) ;
 draw hlingrid(0, 20, .2, 20cm, 10cm) ;
 draw vloggrid(0, 10, .5, 10cm, 20cm) ;
 drawoptions(withpen pencircle scaled .50pt) ;
 draw hlingrid(0, 20, 1, 20cm, 10cm) ;
 draw vloggrid(0, 10, 1, 10cm, 20cm) ;
 
 fmt_pictures := false ; % use TeX as formatting engine
 textextoffset := ExHeight ; % a variable set by ConTeXt
 draw hlintext.lft(0, 20, 5, 20cm, @3e) ;
 draw vlogtext.bot(0, 10, 9, 10cm, @3e) ;
 
 draw
 function(1,log(x),x,1,10,1) xyscaled (10cm,2cm)
 withpen pencircle scaled 5mm withcolor transparent(1,.5,yellow) ;
 
 I am confused how the resulting function is scaled correctly. The
 resulting dimensions seem to be 10cm and 18 cm. So I guess the 2 cm mean
 to shift it up some how.
 
 Could someone please explain to me how `xyscaled` works in this case
 please. I though `xyscaled (αcm, ζcm)` would set the object/path to a
 width of α cm and a height of ζ cm.

Looking up the definition of the macro `xyscaled` it is indeed just a
short version of `xscaled αcm yscaled ζcm`.

$ more mp-tool.mp
[…]
%D More robust:

% let  normalscaled =  scaled ;
% let normalxscaled = xscaled ;
% let normalyscaled = yscaled ;
%
% def  scaled expr s =  normalscaled (s) enddef ;
% def xscaled expr s = normalxscaled (s) enddef ;
% def yscaled expr s = normalyscaled (s) enddef ;

%D Shorter

primarydef p xyscaled q =
  begingroup ; save qq ; pair qq ; qq = paired(q) ;
( p
  if xpart qq0 : xscaled (xpart qq) fi
  if ypart qq0 : yscaled (ypart qq) fi )
  endgroup
enddef ;
[…]

I am still confused though what happens in the above example scaling the
path of the function.

Trying

\starttext
\startMPcode
  draw fullsquare xscaled 10cm yscaled 2cm;
\stopMPcode
\stoptext

the resulting rectangle has the dimensions of 10 cm width and 2 cm
height but the path of the function above does not.


Thanks,

Paul


 [1] http://www.pragma-ade.com/general/manuals/metafun-s.pdf


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Re: [NTG-context] MetaFun: Confusion with `function()` and `xyscaled`

2011-10-21 Thread Peter Rolf
Hi Paul,

I agree, this is confusing on the first sight. But scaling is not meant
as 'scaling to' a dimension. In fact is is just a simple multiplication.
The reason why it seems to work this way with
'fullsquare' and such predefined paths is, that they have a 'neutral'
size/scale (bounding box size of filled path is (1pt,1pt)).
Multiplying such a path with (x,y) gives an object with size (1*x,1*y).
In general: if the bounding box of an object has the size (a,b) and you
scale it with (x,y), the resulting object has a size of (ax,by). That's
all the magic.

I must admit that this wasn't clear to me before you came up with your
question. So thanks for that. :-)

Best wishes,  Peter


Am 21.10.2011 13:38, schrieb Paul Menzel:
 Am Freitag, den 21.10.2011, 01:14 +0200 schrieb Paul Menzel:
 Dear ConTeXt/MetaFun folks,


 looking at the example for grid and functions in the MetaFun manual [1]
 section 9.3

 drawoptions(withpen pencircle scaled .25pt withcolor .5white) ;
 draw hlingrid(0, 20, .2, 20cm, 10cm) ;
 draw vloggrid(0, 10, .5, 10cm, 20cm) ;
 drawoptions(withpen pencircle scaled .50pt) ;
 draw hlingrid(0, 20, 1, 20cm, 10cm) ;
 draw vloggrid(0, 10, 1, 10cm, 20cm) ;
 
 fmt_pictures := false ; % use TeX as formatting engine
 textextoffset := ExHeight ; % a variable set by ConTeXt
 draw hlintext.lft(0, 20, 5, 20cm, @3e) ;
 draw vlogtext.bot(0, 10, 9, 10cm, @3e) ;
 
 draw
 function(1,log(x),x,1,10,1) xyscaled (10cm,2cm)
 withpen pencircle scaled 5mm withcolor transparent(1,.5,yellow) ;

 I am confused how the resulting function is scaled correctly. The
 resulting dimensions seem to be 10cm and 18 cm. So I guess the 2 cm mean
 to shift it up some how.

 Could someone please explain to me how `xyscaled` works in this case
 please. I though `xyscaled (αcm, ζcm)` would set the object/path to a
 width of α cm and a height of ζ cm.
 
 Looking up the definition of the macro `xyscaled` it is indeed just a
 short version of `xscaled αcm yscaled ζcm`.
 
 $ more mp-tool.mp
 […]
 %D More robust:
 
 % let  normalscaled =  scaled ;
 % let normalxscaled = xscaled ;
 % let normalyscaled = yscaled ;
 %
 % def  scaled expr s =  normalscaled (s) enddef ;
 % def xscaled expr s = normalxscaled (s) enddef ;
 % def yscaled expr s = normalyscaled (s) enddef ;
 
 %D Shorter
 
 primarydef p xyscaled q =
   begingroup ; save qq ; pair qq ; qq = paired(q) ;
 ( p
   if xpart qq0 : xscaled (xpart qq) fi
   if ypart qq0 : yscaled (ypart qq) fi )
   endgroup
 enddef ;
 […]
 
 I am still confused though what happens in the above example scaling the
 path of the function.
 
 Trying
 
 \starttext
 \startMPcode
   draw fullsquare xscaled 10cm yscaled 2cm;
 \stopMPcode
 \stoptext
 
 the resulting rectangle has the dimensions of 10 cm width and 2 cm
 height but the path of the function above does not.
 
 
 Thanks,
 
 Paul
 
 
 [1] http://www.pragma-ade.com/general/manuals/metafun-s.pdf


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Re: [NTG-context] MetaFun: Confusion with `function()` and `xyscaled`

2011-10-21 Thread Aditya Mahajan

Could someone please explain to me how `xyscaled` works in this case
please. I though `xyscaled (αcm, ζcm)` would set the object/path to a
width of α cm and a height of ζ cm.


IIRC, xysized does that. (I am usually confused between ..sized and 
..scaled, but one of them scales to the given dimensions).


Aditya___
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[NTG-context] MetaFun: Confusion with `function()` and `xyscaled`

2011-10-20 Thread Paul Menzel
Dear ConTeXt/MetaFun folks,


looking at the example for grid and functions in the MetaFun manual [1]
section 9.3

drawoptions(withpen pencircle scaled .25pt withcolor .5white) ;
draw hlingrid(0, 20, .2, 20cm, 10cm) ;
draw vloggrid(0, 10, .5, 10cm, 20cm) ;
drawoptions(withpen pencircle scaled .50pt) ;
draw hlingrid(0, 20, 1, 20cm, 10cm) ;
draw vloggrid(0, 10, 1, 10cm, 20cm) ;

fmt_pictures := false ; % use TeX as formatting engine
textextoffset := ExHeight ; % a variable set by ConTeXt
draw hlintext.lft(0, 20, 5, 20cm, @3e) ;
draw vlogtext.bot(0, 10, 9, 10cm, @3e) ;

draw
function(1,log(x),x,1,10,1) xyscaled (10cm,2cm)
withpen pencircle scaled 5mm withcolor transparent(1,.5,yellow) ;

I am confused how the resulting function is scaled correctly. The
resulting dimensions seem to be 10cm and 18 cm. So I guess the 2 cm mean
to shift it up some how.

Could someone please explain to me how `xyscaled` works in this case
please. I though `xyscaled (αcm, ζcm)` would set the object/path to a
width of α cm and a height of ζ cm.


Thanks,

Paul


[1] http://www.pragma-ade.com/general/manuals/metafun-s.pdf


test.pdf
Description: Adobe PDF document
\starttext
\startMPcode
drawoptions(withpen pencircle scaled .25pt withcolor .5white) ;
draw hlingrid(0, 20, .2, 20cm, 10cm) ;
draw vloggrid(0, 10, .5, 10cm, 20cm) ;
drawoptions(withpen pencircle scaled .50pt) ;
draw hlingrid(0, 20, 1, 20cm, 10cm) ;
draw vloggrid(0, 10, 1, 10cm, 20cm) ;

fmt_pictures := false ; % use TeX as formatting engine
textextoffset := ExHeight ; % a variable set by ConTeXt
draw hlintext.lft(0, 20, 5, 20cm, @3e) ;
draw vlogtext.bot(0, 10, 9, 10cm, @3e) ;

draw
function(1,log(x),x,1,10,1) xyscaled (10cm,2cm)
withpen pencircle scaled 5mm withcolor transparent(1,.5,yellow) ;
draw fullsquare xyscaled (10cm,2cm);
\stopMPcode

\startMPcode
draw fullsquare xyscaled (1cm,1cm);
\stopMPcode
\startMPcode
draw fullsquare xyscaled (2cm,1cm);
\stopMPcode
\startMPcode
draw fullsquare xyscaled (1cm,2cm);
\stopMPcode
\startMPcode
draw fullsquare xyscaled (1,2);
\stopMPcode
\stoptext


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