diff options
author | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
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committer | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
commit | e0c6872cf40896c7be36b11dcc744620f10adf1d (patch) | |
tree | 60335e10d2f4354b0674ec22d7b53f0f8abee672 /graphics/gapfill/Various_OSs |
Initial commit
Diffstat (limited to 'graphics/gapfill/Various_OSs')
-rwxr-xr-x | graphics/gapfill/Various_OSs/OOopict.pl | 918 |
1 files changed, 918 insertions, 0 deletions
diff --git a/graphics/gapfill/Various_OSs/OOopict.pl b/graphics/gapfill/Various_OSs/OOopict.pl new file mode 100755 index 0000000000..d5ca7f8f2e --- /dev/null +++ b/graphics/gapfill/Various_OSs/OOopict.pl @@ -0,0 +1,918 @@ +#!/usr/bin/perl -w +# OOopict.pl +# (c) Copyright 2009 by H. Moeller (mollerh@math.uni-muenster.de). +# Version 1.6 for OpenOffice.org Draw , Apache OpenOffice Draw or LibreOffice Draw +# with Perl 5.16, and with the LaTeX package 'pict2e' from 2008 +# or with 'pict2e' (2003) and 'ebezier'. +# This program may be distributed and/or modified under the conditions of the +# LaTeX Project Public License, either version 1.3 of this license or +# (at your option) any later version. +# The latest version of this license is in http://www.latex-project.org/lppl.txt. +# This program has the LPPL maintenance status "maintained by the author". +# +use POSIX('ceil','floor'); +#________________________________________________________ +# Definable by the user: +# Unitlength in pt: +$ul = 1.0; +# If your package pict2e is from 2008 or later (else: $pictnew = 0): +$pictnew = 1; +# Fill factor (for laser printer; for filling up to 360% zoom: $fillf=5) +$fillf = 10; +# Point factor (for points on dotted lines and curves): +$pointf = 0.3; +#________________________________________________________ +# Constants: +# Constants in dotted figures: +$uli = sp(4 / $ul); +$ule = sp(0.8 / $ul); +$ulb = sp(1.2 / $ul); +# Color names: +$black = "0.0030.0030.003"; +$navy = "0.0030.0030.503"; +$green = "0.0030.5030.003"; +$teal = "0.0030.5030.503"; +$maroon = "0.5030.0030.003"; +$purple = "0.5030.0030.503"; +$olive = "0.5030.5030.003"; +$blue = "0.0030.0031.000"; +$lime = "0.0031.0000.003"; +$cyan = "0.0031.0001.000"; +$red = "1.0000.0030.003"; +$magenta = "1.0000.0031.000"; +#________________________________________________________ +# Further Constants: +#Conversion factor to pt: +$cpt = 0.02845276; +# Greatest integer of Perl +$gi = 2147483647; +#________________________________________________________ +@lines = <>; +do { + $_ = $lines[$i++]; + if ((/ l /o) or (/ ct /o) or (/ p[cs ][\se]/o)) { + s/\d+ lw \d+ lj //go; + s/ m //go; + if (/ c /o) { + s/(\d\.\d+) (\d\.\d+) (\d\.\d+) c //o; + $c=$1.$2.$3." "; + } + $t=""; + $l=""; + $tflag=0; + $fflag=0; + while ($_ !~ (/p[cs ][\se]/o)) { + if (/ ct /o) { + $tflag=1; + s/ ct / /go; + /(.*)/o; + $t.=$1; + } + elsif (/ l /o) { + s/ l / /go; + s/ l / /o; + /(.*)/o; + $l.=$1; + } + $_ = $lines[$i++]; + } + $fflag=($_ !~ (/p /o)); + if (/ ct /o) { + $tflag=1; + s/ ct / /go; + /(.*\d)/o; + $t.=$1; + } + elsif (/ l /o) { + s/ l / /go; + s/ l / /o; + /(.*\d)/o; + $l.=$1; + } + if ($tflag and $fflag) { + $curve[++$#curve] = $c.$t; + } + elsif ($fflag) { + $polygon[++$#polygon] = $c.$l; + } + } +} +until $i == $#lines; +# +$sflag = 1; +$lt = 8; +$coun = 0; +$xtex = ""; +$mtex = ""; +$btex = "\\documentclass{article}\n"; +if (not $pictnew) { + $btex .= "\\usepackage{ebezier}\n"; +} +#________________________________________________________ +# Lines and polygons +$cflag = 1; +foreach (@polygon) { + @po = split; + $p0 = $po[0]; + $pon = $#po; + if ($pon == 12) {$rec = abs($po[2] - $po[4]) + abs($po[3] - $po[5]) + + abs($po[6] - $po[8]) + abs($po[7] -$po[9]) + abs($po[10]- $po[12]) < 1.0E-4; + } + for (my $j = 1; $j <= $pon; $j++) { + $po[$j] *= (-1)**($j+1)*$cpt; + } + if ($cflag) { + $xtex .= "%Lines, arrows, polygons and quadratic B".chr(142)."zier curves\n"; + $cflag = 0; + } + if (($p0 ne $blue) and ($p0 ne $green)) { + for (my $i = 1; $i <= $pon - 1; $i += 2) { + bound($po[$i],$po[$i + 1]); + } + } + if (($p0 eq $black) or ($p0 eq $lime) or ($p0 eq $maroon) + or ($p0 eq $purple)) { + if ($pon == 12 and $rec) { + for (my $h = 3; $h <= 7; $h += 2) { + lin($p0,$po[$h],$po[$h+1],$po[$h+2],$po[$h+3]); + } + lin($p0,$po[9],$po[10],$po[3],$po[4]); + } + else { + for (my $i = 1; $i <= $pon - 3; $i += 2) { + lin($p0,$po[$i],$po[$i+1],$po[$i+2],$po[$i+3]); + } + } + } + if (($p0 eq $teal) or ($p0 eq $navy)) { + $xtex .= "%Arrow\n"; + $dx = $po[3] - $po[1]; + $dy = $po[4] - $po[2]; + $roo = sqrt($dx**2+$dy**2); + $co = $dx / $roo; + $si = $dy / $roo; + $pxh = $po[3] - 4.8 * $co / $ul; + $pyh = $po[4] - 4.8 * $si / $ul; + $px2 = $pxh - 2.4 * $si / $ul; + $py2 = $pyh + 2.4 * $co / $ul; + $px3 = $pxh + 2.4 * $si / $ul; + $py3 = $pyh - 2.4 * $co / $ul; + bound($px2,$py2); + bound($px3,$py3); + $len = abs($dx); + if ($len > 1.0E-3) { + @p = best(abs($dy / $dx), 1000); + $psx = $p[1] * ($dx <=> 0); + $psy = $p[0] * ($dy <=> 0); + $len = sp(abs($len - 4 * $len / ($roo * $ul))); + } + else { + $psx = 0; + $psy = ($dy <=> 0); + $len = sp(abs(abs($dy) - 4 / $ul)); + } + if ($p0 eq $teal) { + $xb = sp($po[1]); + $yb = sp($po[2]); + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $xtex .= "\\put(".$xb.",".$yb."){\\line(".$psx.",".$psy."){".$len."}}\n"; + } + else { + $xe = $po[3] - $uli * $dx / $roo; + $ye = $po[4] - $uli * $dy / $roo; + lin($p0,$po[1],$po[2],$xe,$ye); + } + if ($lt != 12) { + $xtex .= "\\linethickness{1.2pt}\n"; + $lt = 12; + } + $xtex .= "\\put(".sp($po[3]).",".sp($po[4])."){\\vector(".$psx.",".$psy."){0}}\n"; + } + if (($p0 eq $red) or ($p0 eq $maroon) or ($p0 eq $olive) + or ($p0 eq $purple) or ($p0 eq $magenta)) { + if ($pon == 8) { + tri($p0,$po[1],$po[2],$po[3],$po[4],$po[5],$po[6]); + } + elsif ($pon == 10) { + ($p0,$u1,$v1,$u2,$v2,$u3,$v3,$u4,$v4,$u5,$v5) = @po; + tri($p0,$u1,$v1,$u2,$v2,$u3,$v3); + tri($p0,$u1,$v1,$u3,$v3,$u4,$v4); + } + elsif ($pon == 12) { + ($p0,$u0,$v0,$u1,$v1,$u2,$v2,$u3,$v3,$u4,$v4,$u5,$v5) = @po; + if ($rec) { + rect($p0,$u1,$v1,$u2,$v2,$u3,$v3,$u4,$v4); + } + else { + tri($p0,$u0,$v0,$u1,$v1,$u2,$v2); + tri($p0,$u0,$v0,$u2,$v2,$u3,$v3); + tri($p0,$u0,$v0,$u3,$v3,$u4,$v4); + } + } + elsif ($pon > 12) { + for (my $j = 3; $j <= $pon - 5; $j += 2) { + tri($p0,$po[1],$po[2],$po[$j],$po[$j + 1],$po[$j + 2],$po[$j + 3]); + } + } + } + elsif ($p0 eq $cyan) { +# Text marker + $coun++; + $bo3 = $po[1] + ($po[3] - $po[1]) / $ul; + $bo4 = $po[2] + ($po[4] - $po[2]) / $ul; + bound($po[1],$po[2]); + bound($bo3,$bo4); + $po1 = sp($po[1]); + $po2 = sp($po[2]); + $mtex .= "\\put(".$po1.",".$po2."){".$coun."}\n"; + } + elsif (($p0 eq $blue) or ($p0 eq $green)) { + $xtex .= "%Quadratic B".chr(142)."zier curve\n"; + qbez($p0,$po[1],$po[2],$po[3],$po[4],$po[5],$po[6]); + } +} +# Curves +$cflag = 1; +foreach (@curve) { + @co = split; + $c0 = $co[0]; + $con = $#co; + if (($c0 eq $black) or ($c0 eq $lime)) { + for (my $j = 1; $j <= $con; $j++) { + $co[$j] *= (-1)**($j+1)*$cpt; + } + if ($cflag) { + $xtex .= "%Cubic B".chr(142)."zier curves\n"; + $cflag = 0; + } + for (my $j = 3; $j <= $con - 5; $j += 6) { + cbez($c0,$co[$j-2],$co[$j-1],$co[$j],$co[$j+1],$co[$j+2],$co[$j+3], + $co[$j+4],$co[$j+5]); + } + } +} +#________________________________________________________ +# Frame +if ($xtex . $mtex ne "") { + $xtex = $btex."\\usepackage[pdftex,pstarrows]{pict2e}\n\n". + "\\begin{document}\n\n". + "\\setlength{\\unitlength}{".$ul."pt}\n". + "\\begin{picture}(".ceil(($xmax - $xmin)).",". + ceil(($ymax - $ymin)).")(".floor($xmin).",".floor($ymin).")\n". + "\\linethickness{0.8pt}\n".$xtex; + $xtex .= $mtex."\\end{picture}\n\n\\end{document}"; +} +print $xtex."\n"; +#________________________________________________________ +# Best pair for the slope of a line or an arrow +sub best { + my ($x,$lsc) = @_; + if ($x > 1000) { + return (1,0); + } + elsif ($x < 0.001) { + return (0,1); + } + else { + if ($x =~ (/^\d+$/)) { + return ($x,1); + } + else { + if ($x < 1.0) { + $num1 = floor($x * $gi); + $den1 = $gi; + } + else { + $num1 = $gi; + $den1 = floor($gi / $x); + } + $r0 = $num1; + $r1 = $den1; + $q1 = 1; + @li = (0); + while ($r1 != 0) { + $q1 = floor($r0 / $r1); + $r2 = ($r0 % $r1); + $r0 = $r1; + $r1 = $r2; + $li[++$#li] = $q1; + } + $num1 /= $r0; + $den1 /= $r0; + if ($num1 <= $lsc and $den1 <= $lsc) { + return ($num1,$den1); + } + else { + $n = $#li; + @num = (1,$li[1]); + @den = (0,1); + $bnum = $li[1]; + $bden = 1; + $i = 2; + $numh = 0; + $denh = 0; + while (($numh <= $lsc and $denh <= $lsc) and $i <= $n) { + $c = ($li[$i] >> 1); + if (($li[$i] % 2) == 1) { + $c++; + } + else { + $j = 1; + while (($i - $j >= 1 and $i + $j <= $n) and $li[$i - $j] == $li[$i + $j]) { + $j++; + } + $dj = $i - $j; + $sj = $i + $j; + if (($dj >= 1 and $sj <= $n) and $li[$dj] != $li[$sj]) { + $c += (($j + (($li[$sj] < $li[$dj]) ? 0 : 1)) % 2); + } + elsif ($dj == 0 and $sj <= $n) { + $c += ($j % 2); + } + elsif ($dj >= 1 and $sj == $n + 1) { + $c += (($j + 1) % 2); + } + elsif (($dj == 0 and $sj == $n + 1) or ($dj == 2 and + $sj == $n and $li[1] == 1 and $li[2] + 1 == $li[$n]) or + ($dj == 1 and $sj == $n - 1 and $li[$n] == 1 + and $li[$n - 1] + 1 == $li[1])) { + $c++; + } + } + $k = $c; + while ($k <= $li[$i]) { + $numh = $k * $num[$i - 1] + $num[$i - 2]; + $denh = $k * $den[$i - 1] + $den[$i - 2]; + if ($numh > $lsc or $denh > $lsc) { + last; + } + $bnum = $numh; + $bden = $denh; + if ($k == $li[$i]) { + $num[$i] = $numh; + $den[$i] = $denh; + } + $k++; + } + $i++; + } + return ($bnum,$bden); + } + } + } +} +#________________________________________________________ +# Lines +sub lin { + my ($c,$xb,$yb,$xe,$ye) = @_; + if (($c eq $black) or ($c eq $maroon) or ($c eq $purple)) { + $dx = $xe - $xb; + $dy = $ye - $yb; + $le = abs($dx); + if ($le > 1.0E-3) { + if ($pictnew) { + @p = best(abs($dy / $dx), 16383); + } + else { + @p = best(abs($dy / $dx), 1000); + } + $psx = $p[1] * ($dx <=> 0); + $psy = $p[0] * ($dy <=> 0); + } + else { + $psx = 0; + $psy = ($dy <=> 0); + $le = abs($dy); + } + $xbu = sp($xb); + $ybu = sp($yb); + $leu = sp($le); + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $xtex .= "\\put(".$xbu.",".$ybu."){\\line(".$psx.",".$psy."){".$leu."}}\n"; + } + elsif (($c eq $lime) or ($c eq $navy)) { +# Dotted line + $dx = $xe - $xb; + $dy = $ye - $yb; + $le = floor($pointf * $ul * (sqrt($dx**2 + $dy**2))) + 1; + if ($le > 1) { + $xbu = sp($xb - $ulb / 2); + $ybu = sp($yb); + $xiu = sp($dx / ($le - 1)); + $yiu = sp($dy / ($le - 1)); + if ($lt != 12) { + $xtex .= "\\linethickness{1.2pt}\n"; + $lt = 12; + } + $xtex .= "\\multiput(".$xbu.",".$ybu.")(".$xiu.",".$yiu; + $xtex .= "){".$le."}{\\line(1,0){".$ulb."}}\n"; + } + } +} +#________________________________________________________ +# Triangles +sub tri { +my ($q0,$qx1,$qy1,$qx2,$qy2,$qx3,$qy3) = @_; + $qx1 *= $ul; + $qy1 *= $ul; + $qx2 *= $ul; + $qy2 *= $ul; + $qx3 *= $ul; + $qy3 *= $ul; + if ($q0 eq $red) { +# Filled triangle + %ha = ($qx1,$qy1,$qx2+1e-07,$qy2+1e-07,$qx3+2e-07,$qy3+2e-07); + @hb = (); + @hc = (); + foreach (sort { $ha{$a} <=> $ha{$b} } keys %ha) { + $hb[++$#hb] = $_; + $hc[++$#hc] = $ha{$_}; + } + ($qx1,$qx2,$qx3) = @hb; + ($qy1,$qy2,$qy3) = @hc; + $lin = floor(($qy3 - $qy1) * $fillf); + $xtex .= "%Filled triangle\n"; + if ($lt != 1) { + $xtex .= "\\linethickness{0.1pt}\n"; + $lt = 1; + } + $si = ($qy3 - $qy1) * $qx2 - ($qx3 - $qx1) * $qy2 - $qx1 * $qy3 + $qx3 * $qy1 <=> 0; + $dex = ($qx3 - $qx1) / ($qy3 - $qy1) / $fillf; + $d1 = $qy2 - $qy1; + $d2 = $qy3 - $qy2; + if ($d1 >= 1.0E-3) { + $fx1 = ($qx2 - $qx1) / $d1; + $sx1 = $qx1 - $qy1 * $fx1; + } + if ($d2 >= 1.0E-3) { + $fx2 = ($qx3 - $qx2) / $d2; + $sx2 = $qx2 - $qy2 * $fx2; + } + for ($k = 1; $k <= $lin; $k++) { + $xb = $qx1 + $k * $dex; + $yb = $qy1 + $k / $fillf; + if ($yb <= $qy2) { + if ($d1 >= 1.0E-3) { + $leu = sp((abs($sx1 + $yb * $fx1 - $xb) + 0.5)/ $ul); + } + else { + $leu = sp((abs($qx2 - $qx1) + 0.5)/ $ul); + } + } + else { + if ($d2 >= 1.0E-3) { + $leu = sp((abs($sx2 + $yb * $fx2 - $xb) + 0.5)/ $ul); + } + else { + $leu = sp((abs($qx3 - $qx2) + 0.5)/ $ul); + } + } + if ($si > 0) { + $xbu = sp($xb / $ul); + } + else { + $xbu = sp($xb / $ul); + } + $ybu = sp($yb / $ul); + $xtex .= "\\put(".$xbu.",".$ybu."){\\line(".$si.",0){".$leu."}}\n"; + } + } + elsif (($q0 eq $purple) or ($q0 eq $magenta)) { +# Dotted triangle + %ha = ($qx1,$qy1,$qx2+1e-07,$qy2+1e-07,$qx3+2e-07,$qy3+2e-07); + @hb = (); + @hc = (); + foreach (sort { $ha{$a} <=> $ha{$b} } keys %ha) { + $hb[++$#hb] = $_; + $hc[++$#hc] = $ha{$_}; + } + ($qx1,$qx2,$qx3) = @hb; + ($qy1,$qy2,$qy3) = @hc; + $xtex .= "%Dotted triangle\n"; + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $si = ($qy3 - $qy1) * $qx2 - ($qx3 - $qx1) * $qy2 - $qx1 * $qy3 + $qx3 * $qy1 <=> 0; + $dy1 = 2 * ceil($qy1 / 2); + $dy3 = 2 * floor($qy3 / 2); + $lin = $dy3 - $dy1; + $dex = ($qx3 - $qx1) / ($qy3 - $qy1); + $xbh = $qx1 + ($dy1 - $qy1 - 2.0) * $dex; + $dex = 2 * $dex; + $d1 = $qy2 - $qy1; + $d2 = $qy3 - $qy2; + if ($d1 >= 1.0E-3) { + $fx1 = ($qx2 - $qx1) / $d1; + $sx1 = $qx1 + ($dy1 - $qy1) * $fx1; + } + if ($d2 >= 1.0E-3) { + $fx2 = ($qx3 - $qx2) / $d2; + $sx2 = $qx2 + ($dy1 - $qy2) * $fx2; + } + for ($k = 0; $k <= $lin; $k += 2) { + $qy = $dy1 + $k; + $xbh = $xbh + $dex; + ($si > 0) ? ($xb = $xbh) : ($xe = $xbh); + if ($qy <= $qy2) { + ($d1 >= 1.0E-3) ? ($xeh = $sx1 + $k * $fx1) : ($xeh = $qx1); + } + else { + ($d2 >= 1.0E-3) ? ($xeh = $sx2 + $k * $fx2) : ($xeh = $qx2); + } + ($si > 0) ? ($xe = $xeh) : ($xb = $xeh); + $xb = 2 * ceil($xb / 2); + $xbd = $xb + (($xb + $qy) % 4); + ($xe >= $xbd) ? ($num = floor(($xe - $xbd) / 4) + 1) : ($num = 0); + $xbu = sp($xbd / $ul - $ule / 2); + $qyu = sp($qy / $ul); + $xtex .= "\\multiput(".$xbu.",".$qyu.")(".$uli.",0){".$num; + $xtex .= "}{\\line(1,0){".$ule."}}\n"; + } + } + elsif (($q0 eq $maroon) or ($q0 eq $olive)) { +# Hatched triangle + $xtex .= "%Hatched triangle\n"; + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $d1 = $qx1 - $qy1; + $d2 = $qx2 - $qy2; + $d3 = $qx3 - $qy3; + $qd1 = $d1; + $qd2 = $d2; + $qd3 = $d3; + %ha = ($qx1,$qd1,$qx2+1e-07,$qd2+1e-07,$qx3+2e-07,$qd3+2e-07); + @hb = (); + foreach (sort { $ha{$a} <=> $ha{$b} } keys %ha) { + $hb[++$#hb] = $_; + } + ($qx1,$qx2,$qx3) = @hb; + %ha = ($qy1,$qd1,$qy2+1e-07,$qd2+1e-07,$qy3+2e-07,$qd3+2e-07); + @hb = (); + @hc = (); + foreach (sort { $ha{$a} <=> $ha{$b} } keys %ha) { + $hb[++$#hb] = $_; + $hc[++$#hc] = $ha{$_}; + } + ($qy1,$qy2,$qy3) = @hb; + ($d1,$d2,$d3) = @hc; + $si = (-$qy3 + $qy1) * $qx2 + ($qx3 - $qx1) * $qy2 + $qx1 * $qy3 - $qx3 * $qy1 <=> 0; + $p1 = 4 * ceil($d1 / 4); + $p2 = 4 * floor($d2 / 4); + $p3 = 4 * floor($d3 / 4); + $fx1 = ($qx1 - $qx3) / ($d3 - $d1); + $sx1 = $qx3 + $fx1 * $d3; + $fy1 = ($qy1 - $qy3) / ($d3 - $d1); + $sy1 = $qy3 + $fy1 * $d3; + $d21 = $d2 - $d1; + $d32 = $d3 - $d2; + if ($d21 >= 1.0E-3) { + $fx2 = ($qx1 - $qx2) / $d21; + $sx2 = $qx2 + $fx2 * $d2; + } + if ($d32 >= 1.0E-3) { + $fx3 = ($qx2 - $qx3) / $d32; + $sx3 = $qx3 + $fx3 * $d3; + } + for ($k = $p1; $k <= $p3; $k += 4) { + $xbk = $sx1 - $k * $fx1; + $ybk = $sy1 - $k * $fy1; + if ($k <= $p2) { + ($d21 < 1.0E-3) ? ($le = abs($qx2 - $qx1)) : ($le = abs($sx2 - $k * $fx2 - $xbk)); + } + else { + ($d32 < 1.0E-3) ? ($le = abs($qx3 - $qx2)) : ($le = abs($sx3 - $k * $fx3 - $xbk)); + } + $xbk = sp($xbk / $ul); + $ybk = sp($ybk / $ul); + $le = sp($le / $ul); + $xtex .= "\\put(".$xbk.",".$ybk."){\\line(".$si.",".$si."){".$le."}}\n"; + } + } +} +#________________________________________________________ +# Rectangles +sub rect { + my ($q0,$x1,$y1,$x2,$y2,$x3,$y3,$x4,$y4) = @_; + $dx = abs($x2 - $x1); + $dx = ($dx < 1.0E-6) ? abs($x3 -$x2) : $dx; + $dx = $dx * $ul; + $xb = ($x1 < $x2) ? (($x1 < $x3) ? $x1 : $x3) : (($x2 < $x3) ? $x2 : $x3); + $xb = $xb * $ul; + $dy = abs($y2 - $y1); + $dy = ($dy < 1.0E-6) ? abs($y3 -$y2) : $dy; + $dy = $dy * $ul; + $yb = ($y1 < $y2) ? (($y1 < $y3) ? $y1 : $y3) : (($y2 < $y3) ? $y2 : $y3); + $yb = $yb * $ul; + $xe = $xb + $dx; + $ye = $yb + $dy; +# Filled rectangle + if ($q0 eq $red) { + $xtex .= "%Filled rectangle\n"; + if ($lt != 1) { + $xtex .= "\\linethickness{0.1pt}\n"; + $lt = 1; + } + $xbu = sp($xb / $ul); + $ybu = sp($yb / $ul); + if ($dy <= $dx) { + $lin = floor($fillf * $dy); + $dxu = sp($dx / $ul); + $ybi = sp(1.0 / ($fillf * $ul)); + $xtex .= "\\multiput(".$xbu.",".$ybu.")(0,".$ybi."){".$lin; + $xtex .= "}{\\line(1,0){".$dxu."}}\n"; + } + else { + $lin = floor($fillf * $dx); + $dyu = sp($dy / $ul); + $xbi = sp(1.0 / ($fillf * $ul)); + $xtex .= "\\multiput(".$xbu.",".$ybu.")(".$xbi.",0){".$lin; + $xtex .= "}{\\line(0,1){".$dyu."}}\n"; + } + } +# Dotted rectangle + elsif (($q0 eq $purple) or ($q0 eq $magenta)) { + $xtex .= "%Dotted rectangle\n"; + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $xbb = 2 * ceil($xb / 2); + $ybb = 2 * ceil($yb / 2); + for ($k = 0; $k <= 2; $k += 2) { + $ybd = $ybb + $k; + $xbd = $xbb + (($xbb + $ybd) % 4); + $numx = floor(($xe - 0.13 - $xbd) / 4) + 1; + $numy = floor(($ye - 0.13 - $ybd) / 4) + 1; + $xbu = sp($xbd / $ul - $ule / 2); + $ybu = sp($ybd / $ul); + $xtex .= "\\multiput(".$xbu.",".$ybu.")(".$uli.",0){".$numx."}\n"; + $xtex .= "{\\begin{picture}(0,0)\\multiput(0,0)(0,".$uli."){"; + $xtex .= $numy."}\n{\\line(1,0){".$ule."}}\\end{picture}}\n"; + } + } +# Hatched rectangle + elsif (($q0 eq $maroon) or ($q0 eq $olive)) { + $xtex .= "%Hatched rectangle\n"; + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $p1 = 4 * ceil(($xb - $ye) / 4); + if ($dx >= $dy) { + $p2 = 4 * floor(($xb - $yb) / 4) + 4; + $p3 = 4 * floor(($xe - $ye) / 4) + 4; + $xp = $yb + $p2; + $yp = $yb; + $lp = $dy; + $ip1 = 4; + $ip2 = 0; + } + else { + $p3 = 4 * floor(($xb - $yb) / 4) + 4; + $p2 = 4 * floor(($xe - $ye) / 4) + 4; + $xp = $xb; + $yp = $xb - $p2; + $lp = $dx; + $ip1 = 0; + $ip2 = -4; + } + $p4 = 4 * floor(($xe - $yb) / 4); + for ($k = $p1; $k <= $p2 - 4; $k += 4) { + $xbu = sp($xb / $ul); + $ybu = sp(($xb - $k) / $ul); + $le = sp(($ye - $xb + $k) / $ul); + $xtex .= "\\put(".$xbu.",".$ybu."){\\line(1,1){".$le."}}\n"; + } + $np = ($p3 - $p2) / 4; + if ($p3 > $p2) { + $xpu = sp($xp / $ul); + $ypu = sp($yp / $ul); + $ip1u = sp($ip1 / $ul); + $ip2u = sp($ip2 / $ul); + $lpu = sp($lp / $ul - 0.1); + $xtex .= "\\multiput(".$xpu.",".$ypu.")(".$ip1u.",".$ip2u; + $xtex .= "){".$np."}{\\line(1,1){".$lpu."}}\n"; + } + for ($k = $p3; $k <= $p4; $k += 4) { + $xbu = sp(($yb + $k) / $ul); + $ybu = sp($yb / $ul); + $leu = sp(($xe - $yb - $k) / $ul); + $xtex .= "\\put(".$xbu.",".$ybu."){\\line(1,1){".$leu."}}\n"; + } + } +} +#________________________________________________________ +# Quadratic Bézier curves +sub qbez { + my ($q0,$x1,$y1,$x2,$y2,$x3,$y3) = @_; + my $xb = $x1; + my $yb = $y1; + my $len = 0.0; + for ($t = 0.02; $t <= 1.0; $t += 0.02) { + bound($xb,$yb); + $s = 1.0 - $t; + $xe = $s * ($s * $x1 + $t * $x2) + $t * ($s * $x2 + $t * $x3); + $ye = $s * ($s * $y1 + $t * $y2) + $t * ($s * $y2 + $t * $y3); + $len += sqrt(($xe - $xb)**2 + ($ye - $yb)**2); + $xb = $xe; + $yb = $ye; + } + bound($x3,$y3); + $x1 = sp($x1); + $y1 = sp($y1); + $x2 = sp($x2); + $y2 = sp($y2); + $x3 = sp($x3); + $y3 = sp($y3); + if ($q0 eq $green) { + $le = floor($pointf * $ul * $len); + if ($lt != 12) { + $xtex .= "\\linethickness{1.2pt}\n"; + $lt = 12; + } + if ($pictnew) { + $xtex .= "\\qbezier["; + } + else { + $xtex .= "\\Qbezier["; + } + $xtex .= $le."](".$x1.",".$y1.")(".$x2.",".$y2.")(".$x3.",".$y3.")\n"; + } + elsif ($q0 eq $blue) { + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $xtex .= "\\qbezier(".$x1.",".$y1.")(".$x2.",".$y2; + $xtex .= ")(".$x3.",".$y3.")\n"; + } +} +#________________________________________________________ +# Cubic Bézier curves +sub cbez { + my ($q0,$x1,$y1,$x2,$y2,$x3,$y3,$x4,$y4) = @_; + my $xb = $x1; + my $yb = $y1; + if ($q0 eq $black) { + for ($t = 0.02; $t <= 1.0; $t += 0.02) { + bound($xb,$yb); + $s = 1.0 - $t; + $u1 = $s * $x1 + $t * $x2; + $v1 = $s * $y1 + $t * $y2; + $u2 = $s * $x2 + $t * $x3; + $v2 = $s * $y2 + $t * $y3; + $u3 = $s * $x3 + $t * $x4; + $v3 = $s * $y3 + $t * $y4; + $xe = $s * ($s * $u1 + $t * $u2) + $t * ($s * $u2 + $t * $u3); + $ye = $s * ($s * $v1 + $t * $v2) + $t * ($s * $v2 + $t * $v3); + $xb = $xe; + $yb = $ye; + } + bound($x4,$y4); + $x1 = sp($x1); + $y1 = sp($y1); + $x2 = sp($x2); + $y2 = sp($y2); + $x3 = sp($x3); + $y3 = sp($y3); + $x4 = sp($x4); + $y4 = sp($y4); + if ($lt != 8) { + $xtex .= "\\linethickness{0.8pt}\n"; + $lt = 8; + } + $xtex .= "\\cbezier(".$x1.",".$y1.")(".$x2.",".$y2.")(".$x3.",".$y3.")(".$x4.",".$y4.")\n"; + } + elsif ($q0 eq $lime) { + if ($lt != 12) { + $xtex .= "\\linethickness{1.2pt}\n"; + $lt = 12; + } + my $len = 0.0; + for ($t1 = 0.02; $t1 <= 1.0; $t1 += 0.02) { + bound($xb,$yb); + $s1 = 1.0 - $t1; + $u1 = $s1 * $x1 + $t1 * $x2; + $v1 = $s1 * $y1 + $t1 * $y2; + $u2 = $s1 * $x2 + $t1 * $x3; + $v2 = $s1 * $y2 + $t1 * $y3; + $u3 = $s1 * $x3 + $t1 * $x4; + $v3 = $s1 * $y3 + $t1 * $y4; + $xe = $s1 * ($s1 * $u1 + $t1 * $u2) + $t1 * ($s1 * $u2 + $t1 * $u3); + $ye = $s1 * ($s1 * $v1 + $t1 * $v2) + $t1 * ($s1 * $v2 + $t1 * $v3); + $len += sqrt(($xe - $xb)**2 + ($ye - $yb)**2); + $xb = $xe; + $yb = $ye; + } + bound($x4,$y4); + $le = floor($pointf * $ul * $len); + $dflag = 0; + if ($le >= 4) { + @px = (); + @py = (); + @qx = (); + @qy = (); + @r = (); + @de = (); + @xh = (); + @yh = (); + for (my $k = 0; $k <= 4; $k++) { + $tk = $k / 4; + $sk = 1.0 - $tk; + $px[++$#px]=$sk**3*$x1+3*$sk**2*$tk*$x2+3*$sk*$tk**2*$x3+$tk**3*$x4; + $py[++$#py]=$sk**3*$y1+3*$sk**2*$tk*$y2+3*$sk*$tk**2*$y3+$tk**3*$y4; + $qx[++$#qx]=3.0*(-$sk**2*$x1+$sk*(1-3*$tk)*$x2+$tk*(2-3*$tk)*$x3+ + $tk**2*$x4); + $qy[++$#qy]=3.0*(-$sk**2*$y1+$sk*(1-3*$tk)*$y2+$tk*(2-3*$tk)*$y3+ + $tk**2*$y4); + $r[++$#r] = $px[$k] * $qy[$k] - $py[$k] * $qx[$k]; + } + for (my $i = 0; $i <=3; $i++) { + $det = $qx[$i] * $qy[$i+1] - $qy[$i]*$qx[$i+1]; + if (abs($det) < 1.0E-10) { + last; + } + $de[++$#de] = $det; + $xh[++$#xh] = ($qx[$i] * $r[$i+1] - $r[$i]*$qx[$i+1]) / $det; + $yh[++$#yh] = ($qy[$i] * $r[$i+1] - $r[$i]*$qy[$i+1]) / $det; + } + if ($#de == 3) { + $le = ceil($le / 4); + for (my $i = 0; $i <=3; $i++) { + $x1 = sp($px[$i]); + $y1 = sp($py[$i]); + $x2 = sp($xh[$i]); + $y2 = sp($yh[$i]); + $x3 = sp($px[$i+1]); + $y3 = sp($py[$i+1]); + if ($pictnew) { + $xtex .= "\\qbezier["; + } + else { + $xtex .= "\\Qbezier["; + } + $xtex .= $le."](".$x1.",".$y1.")(".$x2.",".$y2.")(".$x3.",".$y3.")\n"; + } + $dflag = 1; + } + } + if (not $dflag) { + $xb = $x1; + $yb = $y1; + $le = 1/ceil($pointf * $ul * $len); + $xc = sp($xb - $ulb / 2); + $yc = sp($yb); + for ($t = $le; $t <= 1.0 + $le; $t += $le) { + $xtex .= "\\put(".$xc.",".$yc."){\\line(1,0){".$ulb."}}\n"; + $s = 1.0 - $t; + $u1 = $s * $x1 + $t * $x2; + $v1 = $s * $y1 + $t * $y2; + $u2 = $s * $x2 + $t * $x3; + $v2 = $s * $y2 + $t * $y3; + $u3 = $s * $x3 + $t * $x4; + $v3 = $s * $y3 + $t * $y4; + $xe = $s * ($s * $u1 + $t * $u2) + $t * ($s * $u2 + $t * $u3); + $ye = $s * ($s * $v1 + $t * $v2) + $t * ($s * $v2 + $t * $v3); + $xb = $xe; + $yb = $ye; + $xc = sp($xb - $ulb / 2); + $yc = sp($yb); + } + $xc = sp($x4 - $ulb / 2); + $yc = sp($y4); + $xtex .= "\\put(".$xc.",".$yc."){\\line(1,0){".$ulb."}}\n"; + } + } +} +#________________________________________________________ +# Bounding box +sub bound { + my ($xn,$yn) = @_; + if ($sflag) { + $xmin = $xn; + $xmax = $xn; + $ymin = $yn; + $ymax = $yn; + $sflag = 0; + } + else { + if ($xn < $xmin) {$xmin = $xn} elsif ($xmax < $xn) {$xmax = $xn} + if ($yn < $ymin) {$ymin = $yn} elsif ($ymax < $yn) {$ymax = $yn} + } +} +#________________________________________________________ +# Sprintf +sub sp { + my $x = shift; + return sprintf("%.3f",$x) + 0; +} +#________________________________________________________ |