On Monday, 30 July 2018 13:23:04 BST Ralph Corderoy wrote:
> Hi Deri,
> 
> Thanks for the very prompt reply.  Sorry if I seemed grumpy; just time
> pressure from deviating down another rabbit hole.  :-)
> 
Hi Ralph,

I did not notice the grumps, I'm still looking for Alice too! :-)

> > One difference between postscript and pdf is that ps has page origin
> > at the top left whereas pdf uses the bottom left. Since the page is A4
> > the top of the page is 842 points so gropdf using 837.5 is expected.
> 
> An aside, is it understood that A4 is precisely 842 points at 1/72th
> inch in these file formats, that not being 297 mm?
> 

I found this in ps.cpp:-

int ps_printer::media_width()
{
  /*
   *  NOTE:
   *  Although paper size is defined as real numbers, it seems to be
   *  a common convention to round to the nearest postscript unit.
   *  For example, a4 is really 595.276 by 841.89 but we use 595 by 842.
   *
   *  This is probably a good compromise, especially since the
   *  Postscript definition specifies that media
   *  matching should be done within a tolerance of 5 units.
   */
  return int(user_paper_width ? user_paper_width*72.0 + 0.5
                              : font::paperwidth*72.0/font::res + 0.5);
}

So I took this to mean that whole points were Ok for paper sizes.

> > 
> > It appears that the difference in coordinates is being introduced by
> > conversion from postscript to pdf!
> 
> Yes.  This is all groff 1.22.3-7, and ghostscript 9.23-1, I forgot to
> say.
> 
> I did wonder if it was from the PDF to QDF by qpdf(1) so I slimmed down
> the table and used both `qpdf -qdf' and `mutool clean -d' to check,
> producing filenames that show the path taken.
> 
>     .TS
>     l.
>     _
>     \(en
>     .TE
>     E
> 
>     grops by groff -dpaper=a4 -Tps
>         line-grops.ps                               77 4.5 72 4.5 DL
>         line-grops-ps2pdf-pdf2ps.ps                 720.25 8374.25 m 770.25 
> 8374.25 l 
>         line-grops-ps2pdf-qpdf.qdf                  720.25 8374.25 m 770.25 
> 8374.25 l 
>         line-grops-ps2pdf-mutool.pdf                720.25 8374.25 m 770.25 
> 8374.25 l 
>         line-grops-ps2pdf-pdf2ps-ps2pdf-mutool.pdf  720.25 8374.25 m 770.25 
> 8374.25 l
> 
>     gropdf by groff -dpaper=a4 -Tpdf -P-d
>         line-gropdf.pdf         72 837.5 m 77 837.5 l
>         line-gropdf-pdf2ps.ps   720 8375 m 770 8375 l
>         line-gropdf-qpdf.qdf    72 837.5 m 77 837.5 l
>         line-gropdf-mutool.pdf  72 837.5 m 77 837.5 l
> 
> 842 - 4.5 = 837.5 so both grops and gropdf get that right, but ps2pdf
> shifts it.  Note the last grops item shows two ps2pdf steps, returning
> back to PostScript inbetween, and doesn't double-shift the line.
> 
> And with a bit of guesswork, I get the same directly from the PDF from
> ps2pdf.
> 
>     $ LC_ALL=C egrep -boam2 '^stream|endstream' line-grops-ps2pdf.pdf
>     61:stream
>     185:endstream
>     $
>     $ python -c '
> 
>     > import zlib
>     > f=open("line-grops-ps2pdf.pdf", "rb")
>     > f.seek(61 + 6)
>     > s=f.read(186 - (61 + 6))
>     > print(zlib.decompress(s[3:], -15))
>     > '
> 
>     ...
>     720.25 8374.25 m\n
>     770.25 8374.25 l\n
>     ...
>     '
>     $
> 
> > It does not seem to be associated with the linecaps, nor the length of
> > the line, since using a very wide (10pt) linewidth and longer line
> > does not alter the amount it is shifted.
> 
> I think both grops and gropdf are consistent with their `1 setlinecap',
> round caps, and `1 setlinejoin', round corners.
> 
> I altered the PostScript from grops to
> 
>     .4 LW
>     77 4.5 72 4.5 DL
>     /F0 10/Times-Roman@0 SF<20>72 14 Q
> 
>     /s 20 string def
>     (  ) show
>     currentlinewidth s cvs show ( ) show
>     currentlinecap s cvs show ( ) show
>     currentlinejoin s cvs show ( ) show
> 
>     0 setlinecap 0 setlinejoin
>     77 8.5 72 8.5 DL
> 
>     0 Cg EP
> 
> and it prints `0.4 1 1' with the two lines in a ps2pdf PDF at
> 
>     720.25 8374.25 m 770.25 8374.25 l S
>     720.25 8334.25 m 770.25 8334.25 l S
> 
> So setting cap and join to 0 doesn't affect the 0.25 offset.
> 
> You mentioned switching from `s' to `S' to `closepath' the line.  How
> does closing the path affect the rendering of a simple straight line
> that's not a `circuit'?

When the discussion on the list was concerning changing line caps within pic 
using the postscript special command \X ps: exec 0 setlinecap, I tried this 
using -T pdf, which is documented to recognise this "special", and it did not 
work, but changing the pdf operator for a line to "S" caused the correct line 
caps to appear, my assumption is that if a path is never closed, i.e. it is 
only comprised of sub-paths, at some point, part of the clean up is to 
stroke/fill any open sub paths, but using the graphics state at the time of the 
clean up, i.e using the line caps active for the second sub path.
.
> Whilst editing the grops PostScript I noticed
> 
>     % x y x y -
>     /DL{ SN moveto SN lineto stroke }bind def
> 
> and wonder what SN was doing.
> 
>     % x y - x' y'
>     /SN{
>     transform
>     .25 sub exch
>     .25 sub exch
>     round .25 add exch
>     round .25 add exch
>     itransform
>     }bind def
> 
> It seems odd to subtract 0.25 before rounding to the nearest integer
> rather than 0.5, but perhaps it's accomodating the transform?
> 
> Another edit of the PostScript to see the values;  the output is in the
> comments.
> 
>     .4 LW
>     77 4.5 72 4.5 DL
>     /F0 10/Times-Roman@0 SF<20>72 14 Q
> 
>     /space { (  ) show } def
>     /s 20 string def
>     /printpair { exch  s cvs show  (,) show  s cvs show } def
>     space
>     1 1 transform printpair space  % 1.20228,1.0135
>     77 4.5 SN printpair space      % 76.7291,4.52372
>     72 4.5 SN printpair space      % 71.7386,4.52372
> 
>     0 Cg EP
> 
> I'm now a bit bemused and confused from staring at it all for a while.
> I don't think I can hassle the GhostScript folks yet because

I too looked at SN and thought, I need Tadziu! (Much more knowledgeable on 
postscript than me). I don't understand its purpose. I agree, the change in 
values appears to be from the SN call in postscript, and gs is just executing 
it as it should. 

Cheers

Deri

>     $ cat simple.ps
>     %
> 
>     0.4 setlinewidth 0 setlinecap 0 setlinejoin
>     100 100 moveto 100 0 rlineto stroke
>     showpage
>     $
>     $ ps2pdf simple.ps
>     $ qpdf -qdf simple.pdf simple.qdf
>     $
> 
> leaves simple.qdf spot on:
> 
>     stream
>     q 0.1 0 0 0.1 0 0 cm
>     /R7 gs
>     4 w
>     0 G
>     1000 1000 m
>     2000 1000 l
>     S
>     Q
>     endstream





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