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authorKarl Berry <karl@freefriends.org>2011-08-21 23:57:09 +0000
committerKarl Berry <karl@freefriends.org>2011-08-21 23:57:09 +0000
commit9ee7cfba1625748e157c7cda3091549eb0701cbf (patch)
tree54d32aa0aa0b6b3b21ae16cbbd63f38242590549 /Master/texmf-dist/scripts/mathspic/mathspic.pl
parentcc6dec43bed861394613828f8ed1351b0952d702 (diff)
mathspic (7jun11 and earlier)
git-svn-id: svn://tug.org/texlive/trunk@23640 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/scripts/mathspic/mathspic.pl')
-rwxr-xr-xMaster/texmf-dist/scripts/mathspic/mathspic.pl3329
1 files changed, 0 insertions, 3329 deletions
diff --git a/Master/texmf-dist/scripts/mathspic/mathspic.pl b/Master/texmf-dist/scripts/mathspic/mathspic.pl
deleted file mode 100755
index 132517b0b17..00000000000
--- a/Master/texmf-dist/scripts/mathspic/mathspic.pl
+++ /dev/null
@@ -1,3329 +0,0 @@
-#!/usr/bin/perl
-#
-#(c) Copyright 2005 Apostolos Syropoulos & R.W.D. Nickalls
-# apostolo@ocean1.ee.duth.gr dicknickalls@compuserve.com
-# apostolo@obelix.ee.duth.gr
-#
-# This program can be redistributed and/or modified under the terms
-# of the LaTeX Project Public License Distributed from CTAN
-# archives in directory macros/latex/base/lppl.txt; either
-# version 1 of the License, or any later version.
-#
-package DummyFH;
-my $index = 0;
-sub TIEHANDLE {
- my $class = shift;
- my $self= shift;
- bless $self, $class;
-}
-sub READLINE {
- my $self = shift;
- #shift @$self;
- if ($index > $#$self) {
- $index = 0;
- return undef;
- }
- else {
- return $self->[$index++];
- }
-}
-
-package main;
-use Math::Trig;
-our $version_number = "1.00 Feb 14, 2005";
-our $commandLineArgs = join(" ", @ARGV);
-our $command = "";
-our $curr_in_file = "";
-our %PointTable = ();
-our %VarTable = ();
-our %ConstTable = ();
-our $no_errors = 0;
-our $xunits = "1pt";
-our $yunits = "1pt";
-our $units = "pt|pc|in|bp|cm|mm|dd|cc|sp";
-our $defaultsymbol = "\$\\bullet\$";
-our $defaultLFradius = 0;
-use constant PI => atan2(1,1)*4;
-use constant R2D => 180 / PI;
-use constant D2R => PI / 180;
-our $arrowLength = 2;
-our $arrowLengthUnits = "mm";
-our $arrowAngleB = 30;
-our $arrowAngleC = 40;
-our %DimOfPoint = ();
-our $GlobalDimOfPoints = 0;
-our @Macros = ();
-our $LineThickness = 0.4;
-
- sub mpp {
- my $in_line;
- chomp($in_line = shift);
- my $LC = shift;
- my $out_line = $in_line;
- my $macro_name = "";
- my @macro_param = ();
- my $macro_code = "";
- if ($in_line =~ s/^%def\s*//) {
- if ($in_line =~ s/^(\w+)\s*//){
- $macro_name = $1;
- }
- else {
- PrintErrorMessage("No macro name has been found",$LC);
- return ""
- }
- if ($in_line =~ s/^\(\s*//) {
- # do nothing
- }
- else {
- PrintErrorMessage("No left parenthesis after macro name has been found",$LC);
- return "";
- }
- if ($in_line =~ s/^\)//) {
- # Macro has no parameters!
- }
- else {
- MACROS: while (1) {
- if ($in_line =~ s/^(\w+)\s*//) {
- push (@macro_param, $1);
- }
- else {
- PrintErrorMessage("No macro parameter name has been found",$LC);
- return "";
- }
- if ($in_line =~ s/^,\s*//) {
- next MACROS;
- }
- else {
- last MACROS;
- }
- }
- if ($in_line =~ s/^\)//) {
- # do nothing!
- }
- else {
- PrintErrorMessage("No closing parenthesis after macro parameters",$LC);
- return "";
- }
- }
- $in_line =~ s/([^%]+)(%.*)/$1/;
- $macro_code = $in_line;
- push ( @Macros , { 'macro_name' => $macro_name,
- 'macro_code' => $macro_code,
- 'macro_param' => \@macro_param });
- return $out_line;
- }
- elsif ($in_line =~ s/^%undef\s*//) {
- if ($in_line =~ s/^(\w+)//) {
- my $undef_macro = $1;
- for(my $i = $#Macros; $i >= 0; $i--) {
- if ($Macros[$i]->{'macro_name'} eq $undef_macro) {
- splice(@Macros,$i,1);
- }
- }
- }
- return $out_line;
- }
- elsif ($in_line =~ s/^\s*%//) {
- return $out_line;
- }
- else {
- my $comment = $2 if $in_line =~ s/([^%]+)(%.+)/$1/;
- for(my $i = $#Macros; $i >= 0; $i--) {
- my $macro_name = $Macros[$i]->{'macro_name'};
- if ($in_line =~ /&$macro_name/) { ############################
- my $num_of_macro_args = @{$Macros[$i]->{'macro_param'}};
- if ( $num_of_macro_args > 0 ) {
- my $pattern = "&$macro_name\\(";
- foreach my $p ( 1..$num_of_macro_args ) {
- my $comma = ($p == $num_of_macro_args) ? "\\s*" : "\\s*,\\s*";
- $pattern .= "\\s*[^\\s\\)]+$comma";
- }
- $pattern .= "\\)";
- while($in_line =~ /\W*&$macro_name\W+/) {
- if ($in_line =~ /$pattern/) {
- my $before = $`;
- my $after = $';
- my $match = $&;
- my $new_code = $Macros[$i]->{'macro_code'};
- $match =~ s/^&$macro_name\(\s*//;
- $match =~ s/\)$//;
- foreach my $arg ( 0..($num_of_macro_args - 1) ) {
- my $old = $Macros[$i]->{'macro_param'}->[$arg];
- my $comma = ($arg == ($num_of_macro_args - 1)) ? "" : ",";
- $match =~ s/^\s*([^\s,]+)\s*$comma//;
- my $new = $1;
- $new_code =~ s/$old/$new/;
- }
- $in_line = "$before$new_code$after";
- }
- else {
- PrintErrorMessage("Usage of macro &$macro_name does not " .
- "match its definition", $LC);
- return "";
- }
- }
- }
- else {
- my $replacement = $Macros[$i]->{'macro_code'};
- $in_line =~ s/&$macro_name/$replacement/g;
- }
- }
- }
- return "$in_line$comment";
- }
- }
-
- sub PrintErrorMessage {
- my $errormessage = shift;
- my $error_line = shift;
- my ($l,$A);
- $l = 1+length($command)-length;
- $A = substr($command,0,$l);
- $l += 7 +length($error_line);
-
- for my $fh (STDOUT, LOG) {
- print $fh "$curr_in_file", "Line $error_line: $A\n";
- print $fh " " x $l ,$_,"***Error: $errormessage\n";
- }
- if ($comments_on) { #print to output file file
- print OUT "%% *** $curr_in_file", "Line $error_line: $A\n";
- print OUT "%% *** "," " x $l ,$_,"%% ... Error: $errormessage\n";
- }
- $no_errors++;
- }
-
- sub PrintWarningMessage {
- my $warningMessage = shift;
- my $warning_line = shift;
- my ($l,$A);
- $l = 1+length($command)-length;
- $A = substr($command,0,$l);
- $l += 7 +length($warning_line);
-
- for my $fh (STDOUT, LOG) {
- print $fh "$curr_in_file", "Line $warning_line: $A\n";
- print $fh " " x $l ,$_,"***Warning: $warningMessage\n";
- }
- if ($comments_on) { #print to output file file
- print OUT "%% *** $curr_in_file", "Line $warning_line: $A\n";
- print OUT "%% *** "," " x $l ,$_,"%% ... Warning: $warningMessage\n";
- }
- }
-
- sub PrintFatalError {
- my $FatalMessage = shift;
- my $fatal_line = shift;
- my ($l,$A);
- $l = 1+length($command)-length;
- $A = substr($command,0,$l);
- $l += 7 +length($fatal_line);
-
- die "$curr_in_file", "Line $fatal_line: $A\n" .
- (" " x $l) . $_ . "***Fatal Error: $FatalMessage\n";
- }
-
- sub chk_lparen {
- my $token = $_[0];
- my $lc = $_[1];
- s/\s*//;
- if (/^[^\(]/) {
- PrintErrorMessage("Missing ( after $token",$lc);
- }
- else {
- s/^\(\s*//;
- }
- }
-
- sub chk_rparen {
- my $token = $_[0];
- my $lc = $_[1];
- s/\s*//;
- if (s/^\)//) {
- s/\s*//;
- }
- else {
- PrintErrorMessage("Missing ) after $token",$lc);
- }
- }
-
-
- sub chk_lcb {
- my $token = $_[0];
- my $lc = $_[1];
- s/\s*//;
- if ($_ !~ /^\{/) {
- PrintErrorMessage("Missing { after $token",$lc);
- }
- else {
- s/^{\s*//;
- }
- }
-
- sub chk_rcb {
- my $token = $_[0];
- my $lc = $_[1];
- if ($_ !~ /^\s*\}/) {
- PrintErrorMessage("Missing } after $token",$lc);
- }
- else {
- s/^\s*}\s*//;
- }
- }
-
- sub chk_lsb {
- my $token = $_[0];
- my $lc = $_[1];
-
- s/\s*//;
- if ($_ !~ /^\[/) {
- PrintErrorMessage("Missing [ after $token",$lc);
- }
- else {
- s/^\[\s*//;
- }
- }
-
- sub chk_rsb {
- my $token = $_[0];
- my $lc = $_[1];
-
- s/\s*//;
- if ($_ !~ /^\]/) {
- PrintErrorMessage("Missing ] after $token",$lc);
- }
- else {
- s/^\]\s*//;
- }
- }
-
- sub chk_comma {
- my $lc = $_[0];
-
- s/\s*//;
- if (/^[^,]/) {
- PrintErrorMessage("Did not find expected comma",$lc);
- }
- else {
- s/^,\s*//;
- }
- }
-
- sub chk_comment {
- my $lc = $_[0];
-
- s/\s*//;
- if (/^%/) {
- # do nothing!
- }
- elsif (/^[^%]/) {
- PrintWarningMessage("Trailing text is ignored",$lc);
- }
- }
-
- sub print_headers
- {
- my ($sec,$min,$hour,$mday,$mon,$year,$wday,$yday,$isdst) = localtime;
- $year+=1900;
- $mon+=1;
- $now_string = "$year/" . ($mon>9 ? "$mon/" : "0$mon/") .
- ($mday>9 ? "$mday " : "0$mday ") .
- ($hour>9 ? "$hour:" : "0$hour:") .
- ($min>9 ? "$min:" : "0$min:") .
- ($sec>9 ? "$sec" : "0$sec");
- print OUT "%* -----------------------------------------------\n";
- print OUT "%* mathspic (Perl version $version_number)\n";
- print OUT "%* A filter program for use with PiCTeX\n";
- print OUT "%* Copyright (c) 2005 A Syropoulos & RWD Nickalls \n";
- print OUT "%* Command line: $0 $commandLineArgs\n";
- print OUT "%* Input filename : $source_file\n";
- print OUT "%* Output filename: $out_file\n";
- print OUT "%* Date & time: $now_string\n";
- print OUT "%* -----------------------------------------------\n";
- #
- print LOG "----\n";
- print LOG "$now_string\n";
- print LOG "mathspic (Perl version $version_number)\n";
- print LOG "Copyright (c) 2005 A Syropoulos & RWD Nickalls \n";
- print LOG "Input file = $source_file\n";
- print LOG "Output file = $out_file\n";
- print LOG "Log file = $log_file\n";
- print LOG "----\n";
- }
-
- sub get_point {
-
- my ($lc) = $_[0];
- my ($PointName);
-
- if (s/^([^\W\d_]\d{0,3})\s*//i) { #point name
- $PointName = $1;
- if (!exists($PointTable{lc($PointName)})) {
- PrintErrorMessage("Undefined point $PointName",$lc);
- return "_undef_";
- }
- else {
- return lc($PointName);
- }
- }
- else {
- PrintErrorMessage("Point name expected",$lc);
- return "_undef_";
- }
- }
-
- sub perpendicular {
- my ($xP, $yP, $xA, $yA, $xB, $yB) = @_;
- my ($xF, $yF, $deltax, $deltay, $m1, $m2, $c1, $c2, $factor);
-
- $deltax = $xA - $xB;
- return ($xA, $yP) if abs($deltax) < 0.0000001;
- $deltay = $yA - $yB;
- return ($xP, $yA) if abs($deltay) < 0.0000001;
- $m1 = $deltay / $deltax;
- eval { $m2 = (-1) / $m1;};
- PrintFatalError("Division by zero",$lc) if $@;
- $c1 = $yA - $m1 * $xA;
- $c2 = $yP - $m2 * $xP;
- eval { $factor = 1 / ($m1 - $m2)};
- PrintFatalError("Division by zero",$lc) if $@;
- return (($c2 - $c1) * $factor, ($m1 * $c2 - $m2 * $c1) * $factor);
- }
-
- sub Length {
- my ($xA, $yA, $xB, $yB)=@_;
- return sqrt(($xB - $xA)**2 + ($yB - $yA)**2);
- }
-
- sub triangleArea {
- my ($xA, $yA, $xB, $yB, $xC, $yC)=@_;
- my ($lenAB, $lenBC, $lenCA, $s);
-
- $lenAB = Length($xA,$yA,$xB,$yB);
- $lenBC = Length($xB,$yB,$xC,$yC);
- $lenCA = Length($xC,$yC,$xA,$yA);
- $s = ($lenAB + $lenBC + $lenCA) / 2;
- return sqrt($s * ($s - $lenAB)*($s - $lenBC)*($s - $lenCA));
- }
-
- sub pointOnLine {
- my ($xA, $yA, $xB, $yB, $dist)=@_;
- my ($deltax, $deltay, $xPol, $yPol);
-
- $deltax = $xB - $xA;
- $deltay = $yB - $yA;
- $xPol = $xA + ($dist * $deltax / &Length($xA,$yA,$xB,$yB));
- $yPol = $yA + ($dist * $deltay / &Length($xA,$yA,$xB,$yB));
- return ($xPol, $yPol);
- }
-
-
-
- sub circumCircleCenter {
- my ($xA, $yA, $xB, $yB, $xC, $yC, $lc)=@_;
- my ($deltay12, $deltax12, $xs12, $ys12);
- my ($deltay23, $deltax23, $xs23, $ys23);
- my ($xcc, $ycc);
- my ($m23, $mr23, $c23, $m12, $mr12, $c12);
- my ($sideA, $sideB, $sideC, $a, $radius);
-
- if (abs(triangleArea($xA, $yA, $xB, $yB, $xC, $yC)) < 0.0000001)
- {
- PrintErrorMessage("Area of triangle is zero!",$lc);
- return (0,0,0);
- }
- $deltay12 = $yB - $yA;
- $deltax12 = $xB - $xA;
- $xs12 = $xA + $deltax12 / 2;
- $ys12 = $yA + $deltay12 / 2;
- #
- $deltay23 = $yC - $yB;
- $deltax23 = $xC - $xB;
- $xs23 = $xB + $deltax23 / 2;
- $ys23 = $yB + $deltay23 / 2;
- #
- CCXYLINE:{
- if (abs($deltay12) < 0.0000001)
- {
- $xcc = $xs12;
- if (abs($deltax23) < 0.0000001)
- {
- $ycc = $ys23;
- last CCXYLINE;
- }
- else
- {
- $m23 = $deltay23 / $deltax23;
- $mr23 = -1 / $m23;
- $c23 = $ys23 - $mr23 * $xs23;
- $ycc = $mr23 * $xs12 + $c23;
- last CCXYLINE;
- }
- }
- if (abs($deltax12) < 0.0000001)
- {
- $ycc = $ys12;
- if (abs($deltay23) < 0.0000001)
- {
- $xcc = $xs23;
- last CCXYLINE;
- }
- else
- {
- $m23 = $deltay23 / $deltax23;
- $mr23 = -1 / $m23;
- $c23 = $ys23 - $mr23 * $xs23;
- $xcc = ($ys12 - $c23) / $mr23;
- last CCXYLINE;
- }
- }
- if (abs($deltay23) < 0.0000001)
- {
- $xcc = $xs23;
- if (abs($deltax12) < 0.0000001)
- {
- $ycc = $ys12;
- last CCXYLINE;
- }
- else
- {
- $m12 = $deltay12 / $deltax12;
- $mr12 = -1 / $m12;
- $c12 = $ys12 - $mr12 * $xs12;
- $ycc = $mr12 * $xcc + $c12;
- last CCXYLINE;
- }
- }
- if (abs($deltax23) < 0.0000001)
- {
- $ycc = $ys23;
- if (abs($deltay12) < 0.0000001)
- {
- $xcc = $xs12;
- last CCXYLINE;
- }
- else
- {
- $m12 = $deltay12 / $deltax12;
- $mr12 = -1 / $m12;
- $c12 = $ys12 - $mr12 * $xs12;
- $xcc = ($ycc - $c12) / $mr12;
- last CCXYLINE;
- }
- }
- $m12 = $deltay12 / $deltax12;
- $mr12 = -1 / $m12;
- $c12 = $ys12 - $mr12 * $xs12;
- #-----
- $m23 = $deltay23 / $deltax23;
- $mr23 = -1 / $m23;
- $c23 = $ys23 - $mr23 * $xs23;
- $xcc = ($c23 - $c12) / ($mr12 - $mr23);
- $ycc = ($c23 * $mr12 - $c12 * $mr23) / ($mr12 - $mr23);
- }
- #
- $sideA = &Length($xA,$yA,$xB,$yB);
- $sideB = &Length($xB,$yB,$xC,$yC);
- $sideC = &Length($xC,$yC,$xA,$yA);
- $a = triangleArea($xA, $yA, $xB, $yB, $xC, $yC);
- $radius = ($sideA * $sideB * $sideC) / (4 * $a);
- #
- return ($xcc, $ycc, $radius);
- }
-
- sub ComputeDist {
- my ($lc) = $_[0];
- my ($v1, $v2);
-
- if (s/^((\+|-)?\d+(\.\d+)?([eE](\+|-)?\d+)?)//) #is it a number?
- {
- return ($1, 1);
- }
- elsif (/^[^\W\d_]\d{0,3}[^\W\d_]\d{0,3}/) #it is a pair of IDs?
- {
- s/^([^\W\d_]\d{0,3})//i;
- $v1 = $1;
- if (!exists($PointTable{lc($v1)})) {
- if (exists($VarTable{lc($v1)})) {
- return ($VarTable{lc($v1)}, 1);
- }
- PrintErrorMessage("Point $v1 has not been defined", $lc);
- s/^\s*[^\W\d_]\d{0,3}//i;
- return (0,0);
- }
- $v1 = lc($v1);
- s/^\s*([^\W\d_]\d{0,3})//i;
- $v2 = $1;
- if (!exists($PointTable{lc($v2)}))
- {
- PrintErrorMessage("Point $v2 has not been defined", $lc);
- return (0,0);
- }
- $v2 = lc($v2);
- my ($x1,$y1,$pSV1,$pS1) = unpack("d3A*",$PointTable{$v1});
- my ($x2,$y2,$pSV2,$pS2) = unpack("d3A*",$PointTable{$v2});
- return (Length($x1,$y1,$x2,$y2), 1);
- }
- elsif (s/^([^\W\d_]\d{0,3})//i) # it is a single id
- {
- $v1 = $1;
- if (!exists($VarTable{lc($v1)})) #it isn't a variable
- {
- PrintErrorMessage("Variable $v1 has not been defined", $lc);
- return (0,0);
- }
- return ($VarTable{lc($v1)}, 1);
- }
- else
- {
- PrintErrorMessage("Unexpected token", $lc);
- return (0,0);
- }
- }
-
- sub intersection4points {
- my ($x1, $y1, $x2, $y2, $x3, $y3, $x4, $y4) = @_;
- my ($deltay12, $deltax12, $deltay34, $deltax34);
- my ($xcc, $ycc, $m34, $c34, $m12, $c12);
-
- $deltay12 = $y2 - $y1;
- $deltax12 = $x2 - $x1;
- #
- $deltay34 = $y4 - $y3;
- $deltax34 = $x4 - $x3;
- I4PXYLINE:{
- if (abs($deltay12) < 0.0000001)
- {
- $ycc = $y1;
- if (abs($deltax34) < 0.0000001)
- {
- $xcc = $x3;
- last I4PXYLINE;
- }
- else
- {
- $m34 = $deltay34 / $deltax34;
- $c34 = $y3 - $m34 * $x3;
- $xcc = ($ycc - $c34) / $m34;
- last I4PXYLINE;
- }
- }
- if (abs($deltax12) < 0.0000001)
- {
- $xcc = $x1;
- if (abs($deltay34) < 0.0000001)
- {
- $ycc = $y3;
- last I4PXYLINE;
- }
- else
- {
- $m34 = $deltay34 / $deltax34;
- $c34 = $y3 - $m34 * $x3;
- $ycc = $m34 * $xcc + $c34;
- last I4PXYLINE;
- }
- }
- if (abs($deltay34) < 0.0000001)
- {
- $ycc = $y3;
- if (abs($deltax12) < 0.0000001)
- {
- $xcc = $x1;
- last I4PXYLINE;
- }
- else
- {
- $m12 = $deltay12 / $deltax12;
- $c12 = $y1 - $m12 * $x1;
- $xcc = ($ycc - $c12) / $m12;
- last I4PXYLINE;
- }
- }
- if (abs($deltax34) < 0.0000001)
- {
- $xcc = $x3;
- if (abs($deltay12) < 0.0000001)
- {
- $ycc = $y1;
- last I4PXYLINE;
- }
- else
- {
- $m12 = $deltay12 / $deltax12;
- $c12 = $y1 - $m12 * $x1;
- $ycc = $m12 * $xcc + $c12;
- last I4PXYLINE;
- }
- }
- $m12 = $deltay12 / $deltax12;
- $c12 = $y1 - $m12 * $x1;
- $m34 = $deltay34 / $deltax34;
- $c34 = $y3 - $m34 * $x3;
- $xcc = ($c34 - $c12) / ($m12 - $m34);
- $ycc = ($c34 * $m12 - $c12 * $m34) / ($m12 - $m34);
- }
- return ($xcc, $ycc);
- }
-
- sub IncircleCenter {
- my ($Ax, $Ay, $Bx, $By, $Cx, $Cy) = @_;
- my ($sideA, $sideB, $sideC);
- my ($ba1, $xA1, $yA1, $cb1, $ac1, $xB1, $yB1, $xC1, $yC1, $a, $s, $r);
-
- #determine the lengths of the sides
- $sideA = Length($Bx, $By, $Cx, $Cy);
- $sideB = Length($Cx, $Cy, $Ax, $Ay);
- $sideC = Length($Ax, $Ay, $Bx, $By);
- #
- $ba1 = ($sideC * $sideA) / ($sideB + $sideC);
- ($xA1, $yA1) = pointOnLine($Bx, $By, $Cx, $Cy, $ba1);
- $cb1 = ($sideA * $sideB) / ($sideC + $sideA);
- ($xB1, $yB1) = pointOnLine($Cx, $Cy, $Ax, $Ay, $cb1);
- $ac1 = ($sideB * $sideC) / ($sideA + $sideB);
- ($xC1, $yC1) = pointOnLine($Ax, $Ay, $Bx, $By, $ac1);
- ($xcenter, $ycenter) = &intersection4points($Ax, $Ay, $xA1, $yA1,
- $Bx, $By, $xB1, $yB1);
- # get radius
- $a = &triangleArea($Ax, $Ay, $Bx, $By, $Cx, $Cy);
- $s = ($sideA + $sideB +$sideC) / 2;
- $r = $a / $s;
- return ($xcenter, $ycenter, $r);
- }
-
- sub Angle {
- my ($Ax, $Ay, $Bx, $By, $Cx, $Cy) = @_;
- my ($RAx, $RAy, $RBx, $RBy, $RCx, $RCy, $deltax, $deltay);
- my ($lineBA, $lineBC, $lineAC, $k, $kk, $angle);
- my ($T, $cosT, $sinT) = (0.3, cos(0.3), sin(0.3));
-
- $RAx = $Ax * $cosT + $Ay * $sinT;
- $RAy = -$Ax * $sinT + $Ay * $cosT;
- $RBx = $Bx * $cosT + $By * $sinT;
- $RBy = -$Bx * $sinT + $By * $cosT;
- $RCx = $Cx * $cosT + $Cy * $sinT;
- $RCy = -$Cx * $sinT + $Cy * $cosT;
- $deltax = $RBx - $RAx;
- $deltay = $RBy - $RAy;
- $lineBA = sqrt($deltax*$deltax + $deltay*$deltay);
- if ($lineBA < 0.0000001)
- {
- return -500;
- }
- $deltax = $RBx - $RCx;
- $deltay = $RBy - $RCy;
- $lineBC = sqrt($deltax*$deltax + $deltay*$deltay);
- if ($lineBC < 0.0000001)
- {
- return -500;
- }
- $deltax = $RAx - $RCx;
- $deltay = $RAy - $RCy;
- $lineAC = sqrt($deltax*$deltax + $deltay*$deltay);
- if ($lineAC < 0.0000001)
- {
- return -500;
- }
- $k = ($lineBA*$lineBA + $lineBC*$lineBC - $lineAC*$lineAC ) /
- (2 * $lineBA * $lineBC);
- $k = -1 if $k < -0.99999;
- $k = 1 if $k > 0.99999;
- $kk = $k * $k;
- if (($kk * $kk) == 1)
- {
- $angle = PI if $k == -1;
- $angle = 0 if $k == 1;
- }
- else
- {
- $angle = (PI / 2) - atan2($k / sqrt(1 - $kk),1);
- }
- return $angle * 180 / PI;
- }
-
- sub excircle {
- my ($A, $B, $C, $D, $E) = @_;
- my ($Ax,$Ay,$Bx,$By,$Dx,$Dy,$Ex,$Ey,$ASVA,$ASA);
- ($Ax,$Ay,$ASVA,$ASA)=unpack("d3A*",$PointTable{$A});
- ($Bx,$By,$ASVA,$ASA)=unpack("d3A*",$PointTable{$B});
- ($Cx,$Cy,$ASVA,$ASA)=unpack("d3A*",$PointTable{$C});
- ($Dx,$Dy,$ASVA,$ASA)=unpack("d3A*",$PointTable{$D});
- ($Ex,$Ey,$ASVA,$ASA)=unpack("d3A*",$PointTable{$E});
- my ($sideA, $sideB, $sideC, $s, $R, $theAdeg, $d);
- my ($Xmypoint, $Ymypoint, $deltax, $deltay, $mylength, $xc, $yc);
-
- $sideA = &Length($Bx, $By, $Cx, $Cy);
- $sideB = &Length($Cx, $Cy, $Ax, $Ay);
- $sideC = &Length($Ax, $Ay, $Bx, $By);
- $s = ($sideA + $sideB + $sideC) / 2;
- $R = triangleArea($Ax, $Ay, $Bx, $By, $Cx, $Cy) /
- ($s - &Length($Dx, $Dy, $Ex, $Ey));
- if (($D eq $A && $E eq $B) || ($D eq $B && $E eq $A))
- {
- $theAdeg = &Angle($Bx, $By, $Cx, $Cy, $Ax, $Ay);
- $Xmypoint = $Cx;
- $Ymypoint = $Cy;
- }
- elsif (($D eq $B && $E eq $C) || ($D eq $C && $E eq $B))
- {
- $theAdeg = &Angle($Cx, $Cy, $Ax, $Ay, $Bx, $By);
- $Xmypoint = $Ax;
- $Ymypoint = $Ay;
- }
- elsif (($D eq $C && $E eq $A) || ($D eq $A && $E eq $C))
- {
- $theAdeg = &Angle($Ax, $Ay, $Bx, $By, $Cx, $Cy);
- $Xmypoint = $Bx;
- $Ymypoint = $By;
- }
- else
- {
- return (0,0,0);
- }
- $d = $R / sin($theAdeg * PI / 180 / 2);
- my ($xIn, $yIn, $rin) = &IncircleCenter($Ax, $Ay, $Bx, $By, $Cx, $Cy);
- $deltax = $xIn - $Xmypoint;
- $deltay = $yIn - $Ymypoint;
- $mylength = sqrt($deltax*$deltax + $deltay*$deltay);
- $xc = $Xmypoint + $d * $deltax / $mylength;
- $yc = $Ymypoint + $d * $deltay / $mylength;
- return ($xc, $yc, $R);
- }
-
- sub DrawLineOrArrow {
- my $draw_Line = shift;
- my $lc = shift;
- my $lineLength = -1;
- my $stacklen = 0;
- my @PP = ();
- # if ($draw_Line != 2) {
- # s/\s*//;
- # if (s/^\[\s*//) { # optional length specifier
- # $lineLength = expr($lc);
- # if ($lineLength <= 0) {
- # PrintErrorMessage("length must greater than zero",$lc);
- # $lineLength = -1;
- # }
- # chk_rsb("optional part",$lc);
- # }
- # }
- chk_lparen("$cmd",$lc);
- DRAWLINES:while(1) {
- @PP = () ;
- while(1) {
- if (s/^([^\W\d_]\d{0,3})\s*//i) { #point name
- $P = $1;
- if (!exists($PointTable{lc($P)})) {
- PrintErrorMessage("Undefined point $P",$lc);
- }
- else {
- push (@PP,$P);
- }
- }
- else {
- $stacklen = @PP;
- if ($draw_Line != 2) {
- if ($stacklen <= 1) {
- PrintErrorMessage("Wrong number of points",$lc);
- }
- else {
- push(@PP,$lc);
- if ($draw_Line == 0) {
- drawarrows(@PP);
- }
- elsif ($draw_Line == 1) {
- drawlines(@PP);
- }
- }
- }
- if (s/^,\s*// and $draw_Line != 2) {
- next DRAWLINES;
- }
- else {
- last DRAWLINES;
- }
- }
- }
- }
- if ($draw_Line == 2) {
- $stacklen = @PP;
- if ($stacklen < 2) {
- PrintErrorMessage("Wrong number of points",$lc);
- }
- elsif ($stacklen % 2 == 0) {
- PrintErrorMessage("Number of points must be odd",$lc);
- }
- else {
- drawCurve(@PP);
- }
- }
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
- }
-
- sub drawarrows {
- my ($NoArgs);
- $NoArgs = @_;
- my ($lc) = $_[$NoArgs-1]; #line number is the last argument
- my ($NumberOfPoints, $p, $q, $r12, $d12);
- my ($px,$py,$pSV,$pS, $qx,$qy,$qSV,$qS);
-
- $NumberOfPoints = $NoArgs - 1;
- LOOP: for(my $i=0; $i < $NumberOfPoints - 1; $i++)
- {
- $p = $_[$i];
- $q = $_[$i+1];
- ($px,$py,$pSV,$pS) = unpack("d3A*",$PointTable{lc($p)});
- ($qx,$qy,$qSV,$qS) = unpack("d3A*",$PointTable{lc($q)});
- $pSV = $defaultLFradius if $pSV == 0;
- $qSV = $defaultLFradius if $qSV == 0;
- $r12 = $pSV + $qSV;
- $d12 = Length($px,$py,$qx,$qy);
- if ($d12 <= $r12)
- {
- if($d12 == 0)
- {
- PrintErrorMessage("points $p and $q are the same", $lc);
- next LOOP;
- }
- PrintWarningMessage("arrow $p$q not drawn: points too close or ".
- "radii too big", $lc);
- next LOOP;
- }
- ($px, $py) = pointOnLine($px, $py, $qx, $qy, $pSV) if $pSV > 0;
- ($qx, $qy) = pointOnLine($qx, $qy, $px, $py, $qSV) if $qSV > 0;
- my ($beta, $gamma);
- $beta = tan($arrowAngleB * D2R / 2);
- $gamma = 2 * tan($arrowAngleC * D2R / 2);
- printf OUT "\\arrow <%.5f%s> [%.5f,%.5f] from %.5f %.5f to %.5f %.5f\n",
- $arrowLength, $arrowLengthUnits, $beta, $gamma, $px, $py, $qx, $qy;
- }
- }
-
- sub drawlines {
- my ($NoArgs);
- $NoArgs = @_;
- my ($lc) = $_[$NoArgs-1]; #line number is the last argument
- my ($NumberOfPoints, $p, $q, $r12, $d12);
- my ($px,$py,$pSV,$pS, $qx,$qy,$qSV,$qS);
-
- $NumberOfPoints = $NoArgs - 1;
- LOOP: for(my $i=0; $i < $NumberOfPoints - 1; $i++)
- {
- $p = $_[$i];
- $q = $_[$i+1];
- ($px,$py,$pSV,$pS) = unpack("d3A*",$PointTable{lc($p)});
- ($qx,$qy,$qSV,$qS) = unpack("d3A*",$PointTable{lc($q)});
- $pSV = $defaultLFradius if $pSV == 0;
- $qSV = $defaultLFradius if $qSV == 0;
- $r12 = $pSV + $qSV;
- $d12 = Length($px,$py,$qx,$qy);
- if ($d12 <= $r12)
- {
- if($d12 == 0)
- {
- PrintErrorMessage("points $p and $q are the same", $lc);
- next LOOP;
- }
- PrintWarningMessage("line $p$q not drawn: points too close or ".
- "radii too big", $lc);
- next LOOP;
- }
- ($px, $py) = pointOnLine($px, $py, $qx, $qy, $pSV) if $pSV > 0;
- ($qx, $qy) = pointOnLine($qx, $qy, $px, $py, $qSV) if $qSV > 0;
- if ($px == $qx || $py == $qy)
- {
- printf OUT "\\putrule from %.5f %.5f to %.5f %.5f %%%% %s%s\n",
- $px,$py,$qx,$qy,$p,$q;
- }
- else
- {
- printf OUT "\\plot %.5f %.5f\t%.5f %.5f / %%%% %s%s\n",
- $px, $py,$qx,$qy,$p,$q;
- }
- }
- }
-
- sub drawCurve {
- my ($NoArgs);
- $NoArgs = @_;
- my ($lc) = $_[$NoArgs-1]; #line number is the last argument
- my ($NumberOfPoints, $p);
-
- $NumberOfPoints = $NoArgs - 1;
- print OUT "\\setquadratic\n\\plot\n";
- for(my $i=0; $i <= $NumberOfPoints; $i++)
- {
- $p = $_[$i];
- my ($px,$py,$pSV,$pS) = unpack("d3A*",$PointTable{lc($p)});
- printf OUT "\t%0.5f %0.5f", $px, $py;
- print OUT (($i == $NumberOfPoints) ? " / %$p\n" : " %$p\n");
- }
- print OUT "\\setlinear\n";
- }
-
- sub drawpoints {
- my ($NumberOfPoints,$p);
- $NumberOfPoints = @_;
- my ($px,$py,$pSV,$pS);
-
- for($i=0; $i < $NumberOfPoints; $i++)
- {
- $p = $_[$i];
- ($px,$py,$pSV,$pS) = unpack("d3A*",$PointTable{lc($p)});
- if ($pS eq "" and $defaultsymbol =~ /circle|square/) {
- $pS = $defaultsymbol;
- }
- POINTSWITCH: {
- if ($pS eq "") # no plot symbol specified
- {
- printf OUT "\\put {%s} at %.5f %.5f %%%% %s\n",
- $defaultsymbol, $px, $py, $p;
- last POINTSWITCH;
- }
- if ($pS eq "circle") # plot symbol is a circle
- {
- my $radius = (defined($DimOfPoint{lc($p)})) ? $DimOfPoint{lc($p)} :
- $GlobalDimOfPoints;
- if ($radius > 0) # draw a circle using the current units
- {
- if ($radius == 1.5) # use \bigcirc
- {
- printf OUT "\\put {\$\\bigcirc\$} at %.5f %.5f %%%% %s\n",
- $px, $py, $p;
- }
- else
- {
- printf OUT "\\circulararc 360 degrees from %.5f %.5f center at %.5f %.5f %%%% %s\n",
- $px+$radius, $py, $px, $py, $p;
- }
- }
- else #use \circ symbol
- {
- printf OUT "\\put {\$\\circ\$} at %.5f %.5f %%%% %s\n",
- $px,$py,$p;
- }
- last POINTSWITCH;
- }
- if ($pS eq "square")
- {
- my $side = (defined($DimOfPoint{lc($p)})) ? $DimOfPoint{lc($p)} :
- $GlobalDimOfPoints;
- printf OUT "\\put {%s} at %.5f %.5f %%%% %s\n",
- drawsquare($side), $px, $py, $p;
- last POINTSWITCH;
- }
- printf OUT "\\put {%s} at %.5f %.5f %%%% %s\n", $pS,$px,$py,$p;
- }
- }
- }
-
- sub drawAngleArc {
- my ($P1, $P2, $P3, $radius, $inout, $direction) = @_;
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$P1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$P2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$P3});
-
- my $internalAngle = Angle($x1, $y1, $x2, $y2, $x3, $y3);
- my $externalAngle = 360 - $internalAngle;
- my ($x, $y) = pointOnLine($x2, $y2, $x1, $y1, $radius);
- my $code = "";
- if ($inout eq "internal" and $direction eq "clockwise" ) {
- $code = sprintf "\\circulararc %.5f degrees from %.5f %.5f center at %.5f %.5f\n",
- -1 * $internalAngle, $x, $y, $x2, $y2;
- }
- elsif ($inout eq "internal" and $direction eq "anticlockwise" ) {
- $code = sprintf "\\circulararc %.5f degrees from %.5f %.5f center at %.5f %.5f\n",
- $internalAngle, $x, $y, $x2, $y2;
- }
- elsif ($inout eq "external" and $direction eq "clockwise" ) {
- $code = sprintf "\\circulararc %.5f degrees from %.5f %.5f center at %.5f %.5f\n",
- -1 * $externalAngle, $x, $y, $x2, $y2;
- }
- elsif ($inout eq "external" and $direction eq "anticlockwise" ) {
- $code = sprintf "\\circulararc %.5f degrees from %.5f %.5f center at %.5f %.5f\n",
- $externalAngle, $x, $y, $x2, $y2;
- }
- return $code;
- }
-
- sub drawAngleArrow {
- my ($P1, $P2, $P3, $radius, $inout, $direction) = @_;
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$P1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$P2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$P3});
-
- my $code = drawAngleArc($P1, $P2, $P3, $radius, $inout, $direction);
-
- my ($xqp, $yqp) = pointOnLine($x2, $y2, $x1, $y1, $radius);
- my ($deltax, $deltay) = ($x1 - $x2, $y1 - $y2);
- my $AL;
-
- if ($xunits =~ /mm/) {
- $AL = 1;
- }
- elsif ($xunits =~ /cm/) {
- $AL = 0.1;
- }
- elsif ($xunits =~ /pt/) {
- $AL = 2.845;
- }
- elsif ($xunits =~ /bp/) {
- $AL = 2.835;
- }
- elsif ($xunits =~ /pc/) {
- $AL = 0.2371;
- }
- elsif ($xunits =~ /in/) {
- $AL = 0.03937;
- }
- elsif ($xunits =~ /dd/) {
- $AL = 2.659;
- }
- elsif ($xunits =~ /cc/) {
- $AL = 0.2216;
- }
- elsif ($xunits =~ /sp/) {
- $AL = 186467.98;
- }
- my $halfAL = $AL / 2;
- my $d = sqrt($radius * $radius - $halfAL * $halfAL);
- my $alpha = atan2($d / $halfAL, 1) * R2D;
- my $beta = 2 * (90 - $alpha);
- my $thetaqr;
- if (abs($deltay) < 0.00001) {
- if ($deltax > 0 ) {$thetaqr = 0 }
- elsif ($deltax < 0) {$thetaqr = -180}
- }
- else {
- if (abs($deltax) < 0.00001) {
- $thetaqr = 90;
- }
- else {
- $thetaqr = atan2($deltay / $deltax, 1) * R2D;
- }
- }
- my ($xqr, $yqr) = pointOnLine($x2, $y2, $x3, $y3, $radius);
- $deltax = $x3 - $x2;
- $deltay = $y3 - $y2;
- $alpha = atan2(sqrt($radius * $radius - $halfAL * $halfAL) / $halfAL, 1) /
- D2R;
- $beta = 2 * (90 - $alpha);
- LINE2 : {
- if (abs($deltax) < 0.00001) {
- if ($deltay > 0) { $thetaqr = 90 }
- elsif ($deltay < 0) { $thetaqr = - 90 }
- last LINE2;
- }
- else {
- $thetaqr = atan2($deltay / $deltax, 1) * R2D;
- }
- if (abs($deltay) < 0.00001) {
- if ($deltax > 0) { $thetaqr = 0 }
- elsif ($deltax < 0) { $thetaqr = -180 }
- last LINE2;
- }
- else {
- $thetaqr = atan2($deltay / $deltax, 1) * R2D;
- }
- if ($deltax < 0 and $deltay > 0) { $thetaqr += 180 }
- elsif ($deltax < 0 and $deltay < 0) { $thetaqr += 180 }
- elsif ($deltax > 0 and $deltay < 0) { $thetaqr += 360 }
- }
- my $xqrleft = $x2 + $radius * cos(($thetaqr + $beta) * D2R);
- my $yqrleft = $y2 + $radius * sin(($thetaqr + $beta) * D2R);
- my $xqrright = $x2 + $radius * cos(($thetaqr - $beta) * D2R);
- my $yqrright = $y2 + $radius * sin(($thetaqr - $beta) * D2R);
- if ($inout eq "internal" and $direction eq "clockwise") {
- $code .= sprintf "\\arrow <1.5mm> [0.5, 1] from %.5f %.5f to %.5f %.5f\n",
- $xqrleft, $yqrleft, $xqr, $yqr;
- }
- elsif ($inout eq "internal" and $direction eq "anticlockwise") {
- $code .= sprintf "\\arrow <1.5mm> [0.5, 1] from %.5f %.5f to %.5f %.5f\n",
- $xqrright, $yqrright, $xqr, $yqr;
- }
- elsif ($inout eq "external" and $direction eq "clockwise") {
- $code .= sprintf "\\arrow <1.5mm> [0.5, 1] from %.5f %.5f to %.5f %.5f\n",
- $xqrleft, $yqrleft, $xqr, $yqr;
- }
- elsif ($inout eq "external" and $direction eq "anticlockwise") {
- $code .= sprintf "\\arrow <1.5mm> [0.5, 1] from %.5f %.5f to %.5f %.5f\n",
- $xqrright, $yqrright, $xqr, $yqr;
- }
- return $code;
- }
-
- sub expr {
- my $lc = $_[0];
- my($left,$op,$right);
-
- $left = term($lc);
- while ($op = addop()) {
- $right = term($lc);
- if ($op eq '+')
- { $left += $right }
- else
- { $left -= $right }
- }
- return $left;
- }
-
- sub addop {
- s/^([+-])// && $1;
- }
-
- sub term {
- my $lc = $_[0];
- my ($left, $op, $right);
- $left = factor($lc);
- while ($op = mulop()) {
- $right = factor($lc);
- if ($op eq '*')
- { $left *= $right }
- elsif ($op =~ /rem/i) {
- eval {$left %= $right};
- PrintFatalError("Division by zero", $lc) if $@;
- }
- else {
- eval {$left /= $right};
- PrintFatalError("Division by zero", $lc) if $@;
- }
- }
- return $left;
- }
-
- sub mulop {
- (s#^([*/])## || s/^(rem)//i) && lc($1);
- }
-
- sub factor {
- my $lc = $_[0];
- my ($left);
-
- $left = primitive($lc);
- if (s/^\*\*//) {
- $left **= factor($lc);
- }
- return $left;
- }
-
- sub primitive {
- my $lc = $_[0];
- my $val;
- s/\s*//;
- if (s/^\(//) { #is it an expr in parentheses
- $val = expr($lc);
- s/^\)// || PrintErrorMessage("Missing right parenthesis", $lc);
- }
- elsif (s/^-//) { # is it a negated primitive
- $val = - primitive();
- }
- elsif (s/^\+//) { # is it a negated primitive
- $val = primitive();
- }
- elsif (s/^angledeg//i) {
- chk_lparen("angledeg",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $point_3 = get_point($lc);
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point_3});
- my $d12 = Length($x1, $y1, $x2, $y2);
- my $d23 = Length($x2, $y2, $x3, $y3);
- my $d31 = Length($x3, $y3, $x1, $y1);
- if ( $d12 == 0 ) {
- PrintErrorMessage("points `$point_1' and `$point_2' are the same", $lc);
- $val = 0;
- }
- elsif ( $d23 == 0 ) {
- PrintErrorMessage("points `$point_2' and `$point_3' are the same", $lc);
- $val = 0;
- }
- elsif ( $d31 == 0 ) {
- PrintErrorMessage("points `$point_1' and `$point_3' are the same", $lc);
- $val = 0;
- }
- else {
- $val = Angle($x1, $y1, $x2, $y2, $x3, $y3);
- $val = 0 if $val == -500;
- }
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^angle//i) {
- chk_lparen("angle".$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $point_3 = get_point($lc);
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point_3});
- my $d12 = Length($x1, $y1, $x2, $y2);
- my $d23 = Length($x2, $y2, $x3, $y3);
- my $d31 = Length($x3, $y3, $x1, $y1);
- if ( $d12 == 0 ) {
- PrintErrorMessage("points `$point_1' and `$point_2' are the same", $lc);
- $val = 0;
- }
- elsif ( $d23 == 0 ) {
- PrintErrorMessage("points `$point_2' and `$point_3' are the same", $lc);
- $val = 0;
- }
- elsif ( $d31 == 0 ) {
- PrintErrorMessage("points `$point_1' and `$point_3' are the same", $lc);
- $val = 0;
- }
- else {
- $val = Angle($x1, $y1, $x2, $y2, $x3, $y3);
- if ($val == -500) {
- $val = 0;
- }
- else {
- $val = D2R * $val;
- }
- }
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^area//i) {
- chk_lparen("angledeg",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $point_3 = get_point($lc);
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point_3});
- $val = triangleArea($x1, $y1, $x2, $y2, $x3, $y3);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^asin//i) {
- chk_lparen("asin");
- $val = expr();
- PrintFatalError("Can't take asin of $val", $lc) if $val < -1 || $val > 1;
- $val = asin($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^acos//i) {
- chk_lparen("acos");
- $val = expr();
- PrintFatalError("Can't take acos of $val", $lc) if $val < -1 || $val > 1 ;
- $val = acos($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^atan//i) {
- chk_lparen("atan");
- $val = expr();
- $val = atan($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^cos//i) {
- chk_lparen("cos");
- $val = expr();
- $val = cos($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^directiondeg//i) {
- chk_lparen("directiondeg",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $x3 = $x1+1;
- if ( ($y2 - $y1) >= 0) {
- $val = Angle($x3, $y1, $x1, $y1, $x2, $y2);
- $val = 0 if $val == -500;
- }
- else {
- $val = 360 - Angle($x3, $y1, $x1, $y1, $x2, $y2);
- $val = 0 if $val == -500;
- }
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^direction//i) {
- chk_lparen("direction",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $x3 = $x1+1;
- if ( ($y2 - $y1) >= 0) {
- $val = Angle($x3, $y1, $x1, $y1, $x2, $y2);
- $val = 0 if $val == -500;
- $val = D2R * $val;
- }
- else {
- $val = 360 - Angle($x3, $y1, $x1, $y1, $x2, $y2);
- $val = 0 if $val == -500;
- $val = D2R * $val;
- }
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^exp//i) {
- chk_lparen("exp");
- $val = expr();
- $val = exp($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^int//i) {
- chk_lparen("int");
- $val = expr();
- $val = int($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^log//i) {
- chk_lparen("log");
- $val = expr();
- PrintFatalError("Can't take log of $val", $lc) if $val <= 0;
- $val = log($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^sin//i) {
- chk_lparen("sin");
- $val = expr();
- $val = sin($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^sgn//i) {
- chk_lparen("sgn");
- $val = expr();
- if ($val > 0) {
- $val = 1;
- }
- elsif ($val == 0) {
- $val = 0;
- }
- else {
- $val = -1;
- }
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^sqrt//i) {
- chk_lparen("sqrt");
- $val = expr();
- $val = sqrt($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^tan//i) {
- chk_lparen("tan");
- $val = expr();
- $val = sin($val)/cos($val);
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^xcoord//i) {
- chk_lparen("xcoord");
- my $point_name = get_point;
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_name});
- $val = $x1;
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^ycoord//i) {
- chk_lparen("ycoord");
- my $point_name = get_point;
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_name});
- $val = $y1;
- chk_rparen("Missing right parenthesis", $lc);
- }
- elsif (s/^_pi_//i) {
- $val = PI;
- }
- elsif (s/^_e_//i) {
- $val = 2.71828182845905;
- }
- elsif (s/^_linethickness_//i) {
- $val = $LineThickness / $xunits;
- }
- else {
- my $err_code;
- ($val,$err_code) = ComputeDist($lc);
- }
- s/\s*//;
- return $val;
- }
-
- sub memberOf {
- my $elem = shift(@_);
-
- my $found = 0;
- foreach $item (@_){
- if ($item eq $elem){
- $found = 1;
- last;
- }
- }
- return $found;
- }
-
- sub tand {
- my $d = $_[0];
- $d = $d * PI / 180;
- return sin($d)/cos($d);
- }
-
- sub get_string {
- my $string = shift;
- my $lc = shift;
-
- $string =~ s/^\s+//;
- if ($string !~ s/^\"//) {
- PrintErrorMessage("No starting \" found",$lc);
- return (1,$string,$string);
- }
- my @ch = split //,$string;
- my @cmd;
- while (@ch and $ch[0] ne "\"") {
- if ($ch[0] eq "\\" and (defined $ch[1]) and $ch[1] eq "\"") {
- shift @ch;
- push @cmd, $ch[0];
- shift @ch;
- }
- else {
- push @cmd, $ch[0];
- shift @ch;
- }
- }
- if (! defined $ch[0]) {
- PrintErrorMessage("No closing \" found",$lc);
- return (1,join("",@cmd), join("",@ch))
- }
- else {
- shift @ch;
- return (0, join("",@cmd), join("",@ch))
- }
- }
-
- sub is_tainted {
- my $arg = shift;
- my $nada = substr($arg,0,0);
- local $@;
- eval { eval "# $nada"};
- return length($@) != 0;
- }
-
- sub noOfDigits {
- my $num = $_[0];
-
- if ($num =~ /^[\+-]?\d+(?!\.)/) {
- return 0;
- }
- elsif ($num =~ /^[\+-]\d+\.(\d+)?/) {
- return length($1);
- }
- }
-
- sub drawsquare {
- my $s = $_[0];
- #$s *= sqrt(2);
- $s = sprintf "%.5f", $s;
- my $code = "\\setlength{\\unitlength}{$xunits}%\n";
- $code .= "\\begin{picture}($s,$s)\\put(0,0)" .
- "{\\framebox($s,$s){}}\\end{picture}";
- return $code;
- }
-
- sub X2sp {
- my $LT = shift;
- my $units = shift;
-
- if ($units eq "pc") {
- return $LT * 786432;
- }
- elsif ($units eq "pt") {
- return $LT * 65536;
- }
- elsif ($units eq "in") {
- return $LT * 4736286.72;
- }
- elsif ($units eq "bp") {
- return $LT * 65781.76;
- }
- elsif ($units eq "cm") {
- return $LT * 1864679.811023622;
- }
- elsif ($units eq "mm") {
- return $LT * 186467.981102362;
- }
- elsif ($units eq "dd") {
- return $LT * 70124.086430424;
- }
- elsif ($units eq "cc") {
- return $LT * 841489.037165082;
- }
- elsif ($units eq "sp") {
- return $LT;
- }
- }
-
-
- sub sp2X {
- my $LT = shift;
- my $units = shift;
-
- if ($units eq "pc") {
- return $LT / 786432;
- }
- elsif ($units eq "pt") {
- return $LT / 65536;
- }
- elsif ($units eq "in") {
- return $LT / 4736286.72;
- }
- elsif ($units eq "bp") {
- return $LT / 65781.76;
- }
- elsif ($units eq "cm") {
- return $LT / 1864679.811023622;
- }
- elsif ($units eq "mm") {
- return $LT / 186467.981102362;
- }
- elsif ($units eq "dd") {
- return $LT / 70124.086430424;
- }
- elsif ($units eq "cc") {
- return $LT / 841489.037165082;
- }
- elsif ($units eq "sp") {
- return $LT;
- }
- }
-
- sub setLineThickness {
- my $Xunits = shift;
- my $LT = shift;
- $Xunits =~ s/^((\+|-)?\d+(\.\d+)?([eE](\+|-)?\d+)?)//;
- my $xlength = "$1";
- $Xunits =~ s/^\s*($units)//;
- my $x_in_units = $1;
- $LT =~ s/^((\+|-)?\d+(\.\d+)?([eE](\+|-)?\d+)?)//;
- my $LTlength = "$1";
- $LT =~ s/^\s*($units)//;
- my $LT_in_units = $1;
- $LTlength = X2sp($LTlength,$LT_in_units);
- $LTlength = sp2X($LTlength,$x_in_units);
- return $LTlength;
- }
-
- sub process_input {
- my ($INFILE,$currInFile) = @_;
- my $lc = 0;
- my $no_output = 0;
- $curr_in_file = $currInFile;
- LINE: while(<$INFILE>) {
- $lc++;
- chomp($command = $_);
- s/^\s+//;
- if (/^beginSkip\s*/i) {
- $no_output = 1;
- print OUT "%%$_" if $comments_on;
- next LINE;
- }
- elsif (/^endSkip\s*/i) {
- if ($no_output == 0) {
- PrintErrorMessage("endSkip without beginSkip",$lc);
- }
- else {
- $no_output = 0;
- }
- print OUT "%%$_" if $comments_on and !$no_output;
- next LINE;
- }
- elsif ($no_output == 1) {
- next LINE;
- }
- else {
- if (/^[^\\]/) {
- my $out_line = mpp($command,$lc) unless /^\\/; #call macro pre-processor
- $_ = "$out_line\n";
- }
-
- if (/^\s*%/)
- {
- print OUT "$_" if $comments_on;
- }
- elsif (s/^\s*(beginloop(?=\W))//i) {
- s/\s+//;
- my $times = expr($lc);
- print OUT "%% BEGINLOOP $times\n" if $comments_on;
- my @C = ();
- REPEATCOMMS: while (<$INFILE>) {
- if (/^\s*endloop/i) {
- last REPEATCOMMS;
- }
- else {
- push @C, $_;
- }
- }
- if (! /^\s*endloop/i) {
- PrintFatalError("unexpected end of file",$lc);
- }
- else {
- s/^\s*endloop//i;
- for(my $i=1; $i<=$times; $i++) {
- tie *DUMMY, 'DummyFH', \@C;
- process_input(DUMMY, $currInFile);
- untie *DUMMY;
- }
- print OUT "%% ENDLOOP\n" if $comments_on;
- }
- }
- elsif (s/^\s*(ArrowShape(?=\W))//i)
- {
- my $cmd = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lparen("$cmd",$lc);
- if (s/^default//i) {
- $arrowLength = 2;
- $arrowLengthUnits = "mm";
- $arrowAngleB = 30;
- $arrowAngleC = 40;
- }
- else {
- my ($LocalArrowLength, $LocalArrowAngleB ,$LocalArrowAngleC) = (0,0,0);
- $LocalArrowLength = expr($lc);
- if (s/^\s*($units)//i) {
- $arrowLengthUnits = "$1";
- }
- else {
- $xunits =~ /(\d+(\.\d+)?)\s*($units)/;
- $LocalArrowLength *= $1;
- $arrowLengthUnits = "$3";
- }
- chk_comma($lc);
- $LocalArrowAngleB = expr($lc);
- chk_comma($lc);
- $LocalArrowAngleC = expr($lc);
- $arrowLength = ($LocalArrowLength == 0 ? 2 : $LocalArrowLength);
- $arrowLengthUnits = ($LocalArrowLength == 0 ? "mm" : $arrowLengthUnits);
- $arrowAngleB = ($LocalArrowAngleB == 0 ? 30 : $LocalArrowAngleB);
- $arrowAngleC = ($LocalArrowAngleC == 0 ? 40 : $LocalArrowAngleC);
- }
- chk_rparen("after $cmd arguments",$lc);
- chk_comment("after $cmd command",$lc);
- print OUT "%% arrowLength = $arrowLength$arrowLengthUnits, ",
- "arrowAngleB = $arrowAngleB ",
- "and arrowAngleC = $arrowAngleC\n" if $comments_on;
-
- }
- elsif (s/^\s*(const(?=\W))//i)
- {
- print OUT "%% $1$_" if $comments_on;
- do{
- s/\s*//;
- PrintErrorMessage("no identifier found after token const",$lc)
- if $_ !~ s/^([^\W\d_]\d{0,3})//i;
- my $Constname = $1;
- my $constname = lc($Constname);
- if (exists $ConstTable{$constname}) {
- PrintErrorMessage("Redefinition of constant $constname",$lc);
- }
- s/\s*//; #remove leading white space
- PrintErrorMessage("did not find expected = sign",$lc)
- if $_ !~ s/^[=]//i;
- my $val = expr($lc);
- $VarTable{$constname} = $val;
- $ConstTable{$constname} = 1;
- print OUT "%% $Constname = $val\n" if $comments_on;
- }while (s/^,//);
- chk_comment($lc);
- s/\s*//;
- if (/^[^%]/) {
- PrintWarningMessage("Trailing text is ignored",$lc);
- }
-
- }
- elsif (s/^\s*(dasharray(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen($cmd,$lc);
- my @DashArray = ();
- my $dash = "";
- my $dashpattern = "";
- PATTERN: while (1) {
- $dash = sprintf("%.5f", expr($lc));
- if (s/^\s*($units)//i) {
- push (@DashArray, "$dash$1");
- }
- else {
- PrintErrorMessage("Did not found unit after expression", $lc);
- }
- s/\s*//;
- if (/^[^,]/) {
- last PATTERN;
- }
- else {
- s/^,\s*//;
- }
- }
- print OUT "\\setdashpattern <";
- while (@DashArray) {
- $dashpattern .= shift @DashArray;
- $dashpattern .= ",";
- }
- $dashpattern =~ s/,$//;
- print OUT $dashpattern, ">\n";
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawAngleArc(?=\W))//i or s/^\s*(drawAngleArrow(?=\W))//i )
- {
- my $cmd = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lcb($cmd,$lc);
- my ($P1, $P2, $P3);
- if (s/^angle(?=\W)//i) {
- chk_lparen("token angle of command $cmd",$lc);
- $P1 = get_point($lc);
- next LINE if $P1 eq "_undef_";
- $P2 = get_point($lc);
- next LINE if $P2 eq "_undef_";
- $P3 = get_point($lc);
- next LINE if $P3 eq "_undef_";
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$P1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$P2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$P3});
- my $Angle = Angle($x1, $y1, $x2, $y2, $x3, $y3);
- if ($Angle <= 0) {
- if ($Angle == 0) {
- PrintErrorMessage("Angle is equal to zero",$lc);
- next LINE;
- }
- elsif ($Angle < -400) {
- PrintErrorMessage("Something is wrong with the points",$lc);
- next LINE;
- }
- }
- chk_rparen("angle part of command $cmd",$lc);
- }
- else {
- PrintErrorMessage("Did not find expected angle part",$lc);
- next LINE;
- }
-
- s/^,\s*// or s/\s*//; #parse optional comma
-
- my $radius;
- if (s/^radius(?=\W)//i) {
- chk_lparen("token radius of command $cmd",$lc);
- $radius = expr($lc);
- chk_rparen("radius part of command $cmd",$lc);
- }
- else {
- PrintErrorMessage("Did not found expected angle part",$lc);
- next LINE;
- }
-
- s/^,\s*// or s/\s*//; #parse optional comma
- my $inout = "";
- if (s/^(internal(?=\W))//i or s/^(external(?=\W))//i) {
- $inout = $1;
- }
- else {
- PrintErrorMessage("Did not find expected 'internal' specifier", $lc);
- next LINE;
- }
- s/^,\s*// or s/\s*//; #parse optional comma
- my $direction = "";
- if (s/^(clockwise(?=\W))//i or s/^(anticlockwise(?=\W))//i) {
- $direction = $1;
- }
- else {
- PrintErrorMessage("Did not find expected 'direction' specifier", $lc);
- next LINE;
- }
- chk_rcb("arguments of $cmd",$lc);
- chk_comment($lc);
- my $code;
- if (lc($cmd) eq "drawanglearc") {
- $code = drawAngleArc($P1, $P2, $P3, $radius, $inout, $direction);
- }
- else {
- $code = drawAngleArrow($P1, $P2, $P3, $radius, $inout, $direction);
- }
- print OUT $code if $code ne "";
-
- }
- elsif (s/^\s*(drawArrow(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- DrawLineOrArrow(0,$lc);
- }
- elsif (s/^\s*(drawcircle(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("drawcircle",$lc);
- my $Point = get_point($lc);
- next LINE if $Point eq "_undef_";
- chk_comma($lc);
- my $R = expr($lc);
- if ($R <= 0) {
- PrintErrorMessage("Radius must be greater than zero",$lc);
- next LINE;
- }
- my ($x,$y,$pSV,$pS)=unpack("d3A*",$PointTable{lc($Point)});
- printf OUT "\\circulararc 360 degrees from %.5f %.5f center at %.5f %.5f\n",
- $x+$R, $y, $x, $y;
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawcurve(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- DrawLineOrArrow(2,$lc);
- }
- elsif (s/^\s*(drawcircumcircle(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("drawcircumcircle",$lc);
- my $point1 = get_point($lc);
- next LINE if $point1 eq "_undef_";
- my $point2 = get_point($lc);
- next LINE if $point2 eq "_undef_";
- my $point3 = get_point($lc);
- next LINE if $point3 eq "_undef_";
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point3});
- my ($xc, $yc,$r) = circumCircleCenter($x1,$y1,$x2,$y2,$x3,$y3,$lc);
- next LINE if $xc == 0 and $yc == 0 and $r == 0;
- print OUT "%% circumcircle center = ($xc,$yc), radius = $r\n" if $comments_on;
- printf OUT "\\circulararc 360 degrees from %.5f %.5f center at %.5f %.5f\n",
- $xc+$r, $yc, $xc, $yc;
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawexcircle(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("drawexcircle",$lc);
- my $point1 = get_point($lc);
- next LINE if $point1 eq "_undef_";
- my $point2 = get_point($lc);
- next LINE if $point2 eq "_undef_";
- my $point3 = get_point($lc);
- next LINE if $point3 eq "_undef_";
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point3});
- if (triangleArea($x1, $y1, $x2, $y2, $x3, $y3) < 0.0001) {
- PrintErrorMessage("Area of triangle is zero!",$lc);
- next LINE;
- }
- chk_comma($lc);
- my $point4 = get_point($lc);
- if (!memberOf($point4, $point1, $point2, $point3)) {
- PrintErrorMessage("Current point isn't a side point",$lc);
- next LINE;
- }
- next LINE if $point4 eq "_undef_";
- my $point5 = get_point($lc);
- next LINE if $point5 eq "_undef_";
- if (!memberOf($point5, $point1, $point2, $point3)) {
- PrintErrorMessage("Current point isn't a side point",$lc);
- next LINE;
- }
- if ($point4 eq $point5) {
- PrintErrorMessage("Side points are identical",$lc);
- next LINE;
- }
- chk_rparen("arguments of $cmd",$lc);
- my ($xc, $yc, $r) = excircle($point1, $point2, $point3,
- $point4, $point5);
- my $R=$r;
- if (s/^\s*\[\s*//) {
- $R += expr($lc);
- if ($R < 0.0001) {
- PrintErrorMessage("Radius has become equal to zero!",$lc);
- next LINE;
- }
- chk_rsb($lc);
- }
- if ($R > (500 / 2.845)) {
- PrintErrorMessage("Radius is greater than 175mm!",$lc);
- next LINE;
- }
- print OUT "%% excircle center = ($xc,$yc) radius = $R\n" if $comments_on;
- printf OUT "\\circulararc 360 degrees from %.5f %.5f center at %.5f %.5f\n",
- $xc+$R, $yc, $xc, $yc;
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawincircle(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("drawincircle",$lc);
- my $point1 = get_point($lc);
- next LINE if $point1 eq "_undef_";
- my $point2 = get_point($lc);
- next LINE if $point2 eq "_undef_";
- my $point3 = get_point($lc);
- next LINE if $point3 eq "_undef_";
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point3});
- if (triangleArea($x1, $y1, $x2, $y2, $x3, $y3) < 0.0001) {
- PrintErrorMessage("Area of triangle is zero!",$lc);
- next LINE;
- }
- my ($xc, $yc, $r) = IncircleCenter($x1,$y1,$x2,$y2,$x3,$y3);
- my $R=$r;
- if (s/^\s*\[\s*//) {
- $R += expr($lc);
- if ($R < 0.0001) {
- PrintErrorMessage("Radius has become equal to zero!",$lc);
- next LINE;
- }
- chk_rsb($lc);
- }
- if ($R > (500 / 2.845)) {
- PrintErrorMessage("Radius is greater than 175mm!",$lc);
- next LINE;
- }
- print OUT "%% incircle center = ($xc,$yc) radius = $R\n" if $comments_on;
- printf OUT "\\circulararc 360 degrees from %.5f %.5f center at %.5f %.5f\n",
- $xc+$R, $yc, $xc, $yc;
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawline(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- DrawLineOrArrow(1,$lc);
- }
- elsif (s/^\s*(drawthickarrow(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- print OUT "\\setplotsymbol ({\\usefont{OT1}{cmr}{m}{n}\\large .})%\n";
- print OUT "{\\setbox1=\\hbox{\\usefont{OT1}{cmr}{m}{n}\\large .}%\n";
- print OUT " \\global\\linethickness=0.31\\wd1}%\n";
- DrawLineOrArrow(0,$lc);
- print OUT "\\setlength{\\linethickness}{0.4pt}%\n";
- print OUT "\\setplotsymbol ({\\usefont{OT1}{cmr}{m}{n}\\tiny .})%\n";
- }
- elsif (s/^\s*(drawthickline(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- print OUT "\\setplotsymbol ({\\usefont{OT1}{cmr}{m}{n}\\large .})%\n";
- print OUT "{\\setbox1=\\hbox{\\usefont{OT1}{cmr}{m}{n}\\large .}%\n";
- print OUT " \\global\\linethickness=0.31\\wd1}%\n";
- DrawLineOrArrow(1,$lc);
- print OUT "\\setlength{\\linethickness}{0.4pt}%\n";
- print OUT "\\setplotsymbol ({\\usefont{OT1}{cmr}{m}{n}\\tiny .})%\n";
- }
- elsif (s/^\s*(drawperpendicular(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lparen($cmd,$lc);
- my $A = get_point($lc);
- next LINE if $A eq "_undef_";
- chk_comma($lc);
- my $B = get_point($lc);
- next LINE if $A eq "_undef_";
- s/\s*//; #ignore white space
- my $C = get_point($lc);
- next LINE if $A eq "_undef_";
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
- #
- #start actual computation
- #
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$A});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$B});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$C});
- my ($xF, $yF) = perpendicular($x1, $y1, $x2, $y2, $x3, $y3);
- printf OUT "\\plot %.5f %.5f %.5f %.5f /\n",
- $x1, $y1, $xF, $yF;
-
- }
- elsif (s/^\s*(drawpoint(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- my ($stacklen);
- chk_lparen("$cmd",$lc);
- if (/^\)/) {
- PrintErrorMessage("There are no point to draw",$lc);
- next LINE;
- }
- my(@PP);
- DRAWPOINTS:while(1) {
- if (s/^([^\W\d_]\d{0,3})//i) { #point name
- $P = $1;
- if (!exists($PointTable{lc($P)})) {
- PrintErrorMessage("Undefined point $P",$lc);
- next DRAWPOINTS;
- }
- else {
- push (@PP,$P);
- s/\s*//;
- }
- }
- else {
- last DRAWPOINTS;
- }
- }
- drawpoints(@PP);
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*(drawRightAngle(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lparen("drawRightAngle",lc);
- my $point1 = get_point($lc);
- next LINE if $point1 eq "_undef_";
- my $point2 = get_point($lc);
- next LINE if $point2 eq "_undef_";
- my $point3 = get_point($lc);
- next LINE if $point3 eq "_undef_";
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point1});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point2});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point3});
- chk_comma($lc);
- my $dist = expr($lc);
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
- #
- #actual computation
- #
- my $lengthAC = Length($x1, $y1, $x3, $y3);
- my $angleBAC = Angle($x2, $y2, $x1, $y1, $x3, $y3);
- my $line1 = $lengthAC / (1 + tand($angleBAC));
- #
- # determine coordinates of point Q
- #
- my ($xQ, $yQ) = pointOnLine($x1, $y1, $x3, $y3, $line1);
- #
- # determine coordinates of point S
- #
- my $deltax = $xQ - $x2;
- my $deltay = $yQ - $y2;
- my $lengthBQ = sqrt($deltax * $deltax + $deltay * $deltay);
- my $xS = $x2 + ($dist * sqrt(2) * $deltax / $lengthBQ);
- my $yS = $y2 + ($dist * sqrt(2) * $deltay / $lengthBQ);
- #
- # determine coordinates of points S1 and S2
- #
- my ($xS1, $yS1) = pointOnLine($x2, $y2, $x3, $y3, $dist);
- ($xS2, $yS2) = ($xS, $yS);
- #
- # emit PiCTeX code
- #
- printf OUT "\\plot %.5f %.5f %.5f %.5f /\n",
- $xS1, $yS1, $xS2, $yS2;
- ($xS1, $yS1) = pointOnLine($x2, $y2, $x1, $y1, $dist);
- printf OUT "\\plot %.5f %.5f %.5f %.5f /\n",
- $xS1, $yS1, $xS2, $yS2;
-
- }
- elsif (s/^\s*(drawsquare(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("drawSquare",$lc);
- my $p = get_point($lc);
- chk_comma($lc);
- my $side = expr($lc);
- $side = $side - (1.1 * $LineThickness/$xunits); #Suggested by RWDN
- my ($x,$y,$pSV,$pS) = unpack("d3A*",$PointTable{$p});
- printf OUT "\\put {%s} at %.5f %.5f %%drawsquare\n", drawsquare($side), $x, $y;
- chk_rparen("arguments of $cmd",$lc);
- chk_comment($lc);
-
- }
- elsif (s/^\s*inputfile\*//i)
- {
- chk_lparen("inputfile*",$lc);
- my $row_in = "";
- if (s/^((\w|-|\.)+)//) {
- $row_in = $1;
- }
- else {
- PrintErrorMessage("No input file name found",$lc);
- next LINE;
- }
- if (!(-e $row_in)) {
- PrintErrorMessage("File $row_in does not exist",$lc);
- next LINE;
- }
- open(ROW, "$row_in")|| die "Can't open file $row_in\n";
- while (defined($in_line=<ROW>)) { print OUT $in_line; }
- print OUT "%% ... end of input file <$row_in>\n";
- close ROW;
- chk_rparen("input file name",$lc);
- chk_comment($lc);
-
-
- }
- elsif (s/^\s*(inputfile(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lparen("inputfile",$lc);
- my $comm_in = "";
- if (s/^((\w|-|\.)+)//) {
- $comm_in = $1;
- }
- else {
- PrintErrorMessage("No input file name found",$lc);
- next LINE;
- }
- if (!(-e $comm_in)) {
- PrintErrorMessage("File $comm_in does not exist",$lc);
- next LINE;
- }
- chk_rparen("input file name",$lc);
- my $input_times = 1; #default value
- if (s/^\[//) {
- $input_times = expr($lc);
- chk_rsb("optional argument",$lc);
- }
- print OUT "%% ... start of file <$comm_in> loop [$input_times]\n";
- for (my $i=0; $i<int($input_times); $i++) {
- open(COMM,"$comm_in") or die "Can't open file $comm_in\n";
- print OUT "%%% Iteration number: ",$i+1,"\n";
- my $old_file_name = $curr_in_file;
- process_input(COMM,"File $comm_in, ");
- $curr_in_file = $old_file_name;
- close COMM;
- }
- print OUT "%% ... end of file <$comm_in> loop [$input_times]\n";
- chk_comment($lc);
-
- }
- elsif (s/^\s*(linethickness(?=\W))//i)
- {
- my $cmd = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lparen("linethickness", $lc);
- if (s/^default//i) {
- print OUT "\\linethickness=0.4pt\\Linethickness{0.4pt}%%\n";
- print OUT "\\setplotsymbol ({\\usefont{OT1}{cmr}{m}{n}\\tiny .})%\n";
- $LineThickness = setLineThickness($xunits,"0.4pt");
- }
- else {
- my $length = expr($lc);
- if (s/^\s*($units)//i) {
- my $units = $1;
- printf OUT "\\linethickness=%.5f%s\\Linethickness{%.5f%s}%%\n",
- $length, $units, $length, $units;
- $LineThickness = setLineThickness($xunits,"$length$units");
- my $mag;
- if ($units eq "pc") {
- $mag = $length * 12;
- }
- elsif ($units eq "in") {
- $mag = $length * 72.27;
- }
- elsif ($units eq "bp") {
- $mag = $length * 1.00375;
- }
- elsif ($units eq "cm") {
- $mag = $length * 28.45275;
- }
- elsif ($units eq "mm") {
- $mag = $length * 2.845275;
- }
- elsif ($units eq "dd") {
- $mag = $length * 1.07001;
- }
- elsif ($units eq "cc") {
- $mag = $length * 0.08917;
- }
- elsif ($units eq "sp") {
- $mag = $length * 0.000015259;
- }
- elsif ($units eq "pt") {
- $mag = $length;
- }
- $mag = 10 * $mag / 1.00278219;
- printf OUT "\\font\\CM=cmr10 at %.5fpt%%\n", $mag;
- print OUT "\\setplotsymbol ({\\CM .})%\n";
- }
- else {
- PrintErrorMessage("Did not found expect units part",$lc);
- }
- }
- chk_rparen("linethickness", $lc);
- chk_comment($lc);
-
-
- }
- elsif (s/^\s*(paper(?=\W))//i)
- {
- my ($cmd) = $1;
- print OUT "%% $cmd$_" if $comments_on;
- chk_lcb("paper", $lc);
- if (s/^units(?=\W)//i)
- {
-
- chk_lparen("units",$lc);
- if(s/^\)//)
- {
- PrintWarningMessage("Missing value in \"units\"--default is 1pt",
- $lc);
- $xunits = "1pt";
- }
- else {
- $xunits = expr($lc);
- s/\s*//;
- if (s/^($units)//i) {
- $xunits .= "$1";
- $LineThickness = setLineThickness($xunits,"0.4pt");
- }
- elsif(s/^(\w)+//i) {
- PrintErrorMessage("$1 is not a valid mathspic unit",$lc);
- $xunits = "1pt";
- }
- else {
- PrintErrorMessage("No x-units found",$lc);
- $xunits = "1pt";
- }
- s/\s*//; #ignore white space
- if (s/^,//) { # there is a comma so expect an y-units
- s/\s*//; #ignore white space
- $yunits = expr($lc);
- s/\s*//; #ignore white space
- if (s/^($units)//i) {
- $yunits .= "$1";
- }
- elsif(s/^(\w)+//i) {
- PrintErrorMessage("$1 is not a valid mathspic unit",$lc);
- $yunits = "1pt";
- }
- else {
- PrintErrorMessage("No y-units found",$lc);
- $yunits = $xunits;
- }
- }
- else {
- $yunits = $xunits;
- }
- chk_rparen("units",$lc);
- }
-
- $nounits = 0;
- }
- else
- {
- $nounits = 1;
- }
- s/^,\s*// or s/\s*//;
- if (s/^xrange//i)
- {
-
- chk_lparen("xrange",$lc);
- my $ec;
- ($xlow,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- chk_comma($lc);
- ($xhigh,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- if ($xlow >= $xhigh)
- {
- PrintErrorMessage("xlow >= xhigh in xrange",$lc);
- next LINE;
- }
- chk_rparen("$xhigh",$lc);
-
- $noxrange = 0;
- }
- else
- {
- $noxrange = 1;
- }
- s/^,\s*// or s/\s*//;
- if (s/^yrange//i)
- {
-
- chk_lparen("yrange",$lc);
- my $ec;
- ($ylow,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- chk_comma($lc);
- ($yhigh,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- if ($ylow >= $yhigh)
- {
- PrintErrorMessage("ylow >= yhigh in yrange",$lc);
- next LINE;
- }
- chk_rparen("$yhigh",$lc);
-
- $noyrange = 0;
- }
- else
- {
- $noyrange = 1;
- }
-
- if (!$nounits)
- {
- printf OUT "\\setcoordinatesystem units <%s,%s>\n",
- $xunits,$yunits;
- }
- if(!$noxrange && !$noyrange)
- {
- printf OUT "\\setplotarea x from %.5f to %.5f, y from %.5f to %.5f\n",
- $xlow, $xhigh, $ylow, $yhigh;
-
- }
-
- s/^,\s*// or s/\s*//;
- $axis = "";
- if (s/^ax[ei]s(?=\W)//i)
- {
-
- chk_lparen("axis",$lc);
- while(/^[^\)]/)
- {
- if (s/^([lrtbxy]{1}\*?)//i)
- {
- $axis .= $1;
- }
- elsif (s/^([^lrtbxy])//i)
- {
- PrintErrorMessage("Non-valid character \"$1\" in axis()",$lc);
- }
- s/\s*//;
- }
- chk_rparen("axis(arguments",$lc);
-
- }
- $axis = uc($axis);
- s/^,\s*// or s/\s*//;
- if (s/^ticks(?=\W)//i)
- {
- chk_lparen("ticks",$lc);
- my $ec;
- ($xticks,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- chk_comma($lc);
- ($yticks,$ec) = ComputeDist($lc);
- next LINE if $ec == 0;
- chk_rparen("ticks(arguments",$lc);
-
- }
- else
- {
- $xticks = $yticks = 0;
- }
- chk_rcb("paper", $lc);
- YBRANCH: {
- if (index($axis, "Y")>-1)
- {
- if (index($axis, "Y*")>-1)
- {
- print OUT "\\axis left shiftedto x=0 / \n";
- last YBRANCH;
- }
- if ($yticks > 0)
- {
- if (index($axis, "T")>-1 && index($axis, "B")==-1)
- {
- print OUT "\\axis left shiftedto x=0 ticks numbered from ";
- print OUT "$ylow to -$yticks by $yticks\n from $yticks to ";
- print OUT $yhigh-$yticks," by $yticks /\n";
- }
- elsif (index($axis, "T")==-1 && index($axis, "B")>-1)
- {
- print OUT "\\axis left shiftedto x=0 ticks numbered from ";
- print OUT $ylow+$yticks," to -$yticks by $yticks\n from ";
- print OUT "$yticks to $yhigh by $yticks /\n";
- }
- elsif (index($axis, "T")>-1 && index($axis, "B")>-1)
- {
- print OUT "\\axis left shiftedto x=0 ticks numbered from ";
- print OUT $ylow+$yticks," to -$yticks by $yticks\n from ";
- print OUT "$yticks to ",$yhigh-$yticks," by $yticks /\n";
- }
- else
- {
- print OUT "\\axis left shiftedto x=0 ticks numbered from ";
- print OUT "$ylow to -$yticks by $yticks\n from ";
- print OUT "$yticks to $yhigh by $yticks /\n";
- }
- }
- else
- {
- print OUT "\\axis left shiftedto x=0 /\n";
- }
- }
- }
- XBRANCH: { if (index($axis, "X")>-1)
- {
- if (index($axis, "X*")>-1)
- {
- print OUT "\\axis bottom shiftedto y=0 /\n";
- last XBRANCH;
- }
- if ($xticks > 0)
- {
- if (index($axis, "L")>-1 && index($axis, "R")==1)
- {
- print OUT "\\axis bottom shiftedto y=0 ticks numbered from ";
- print OUT $xlow + $xticks," to -$xticks by $xticks\n from";
- print OUT " $xticks to $xhigh by $xticks /\n";
- }
- elsif (index($axis, "L")==-1 && index($axis, "R")>-1)
- {
- print OUT "\\axis bottom shiftedto y=0 ticks numbered from ";
- print OUT "$xlow to -$xticks by $xticks\n from ";
- print OUT "$xticks to ",$xhigh-$xticks," by $xticks /\n";
- }
- elsif (index($axis, "L")>-1 && index($axis, "R")>-1)
- {
- print OUT "\\axis bottom shiftedto y=0 ticks numbered from ";
- print OUT $xlow + $xticks," to -$xticks by $xticks\n from ";
- print OUT "$xticks to ",$xhigh - $xticks," by $xticks /\n";
- }
- else
- {
- print OUT "\\axis bottom shiftedto y=0 ticks numbered from ";
- print OUT "$xlow to -$xticks by $xticks\n from ";
- print OUT "$xticks to $xhigh by $xticks /\n";
- }
- }
- else
- {
- print OUT "\\axis bottom shiftedto y=0 /\n";
- }
- } }
- LBRANCH: {if (index($axis, "L")>-1)
- {
- if (index($axis, "L")>-1)
- {
- if (index($axis, "L*")>-1)
- {
- print OUT "\\axis left /\n";
- last LBRANCH;
- }
- if ($yticks > 0)
- {
- print OUT "\\axis left ticks numbered from ";
- print OUT "$ylow to $yhigh by $yticks /\n";
- }
- else
- {
- print OUT "\\axis left /\n";
- }
- }
- } }
- RBRANCH: { if (index($axis, "R")>-1)
- {
- if (index($axis, "R*")>-1)
- {
- print OUT "\\axis right /\n";
- last RBRANCH;
- }
- if ($yticks > 0)
- {
- print OUT "\\axis right ticks numbered from $ylow to $yhigh by ";
- print OUT "$yticks /\n";
- }
- else
- {
- print OUT "\\axis right /\n";
- }
- } }
- TBRANCH: { if (index($axis, "T")>-1)
- {
- if (index($axis, "T*")>-1)
- {
- print OUT "\\axis top /\n";
- last TBRANCH;
- }
- if ($xticks > 0)
- {
- print OUT "\\axis top ticks numbered from $xlow to $xhigh by ";
- print OUT "$xticks /\n";
- }
- else
- {
- print OUT "\\axis top /\n";
- }
- } }
- BBRANCH: { if (index($axis, "B")>-1)
- {
- if (index($axis, "B*")>-1)
- {
- print OUT "\\axis bottom /\n";
- last BBRANCH;
- }
- if ($xticks > 0)
- {
- print OUT "\\axis bottom ticks numbered from $xlow to $xhigh by ";
- print OUT "$xticks /\n";
- }
- else
- {
- print OUT "\\axis bottom /\n";
- }
- } }
-
-
- chk_comment($lc);
-
- }
- elsif (s/^\s*(PointSymbol(?=\W))//i)
- {
- my $cmd = $1;
- print OUT "%% $cmd$_" if $comments_on;
-
- chk_lparen("$cmd",$lc);
- if (s/^default//i) #default point symbol
- {
- $defaultsymbol = "\$\\bullet\$";
- }
- elsif (s/^(circle|square)//i) {
- $defaultsymbol = $1;
- chk_lparen($defaultsymbol, $lc);
- $GlobalDimOfPoints = expr($lc);
- chk_rparen("expression", $lc);
- }
- elsif (s/^(((\\,){1}|(\\\)){1}|(\\\s){1}|[^\),\s])+)//) #arbitrary LaTeX point
- {
- $defaultsymbol = $1;
- $defaultsymbol=~ s/\\\)/\)/g;
- $defaultsymbol=~ s/\\,/,/g;
- $defaultsymbol=~ s/\\ / /g;
- }
- else
- {
- PrintErrorMessage("unrecognized point symbol",$lc);
- }
- if (s/\s*,\s*//) {
- $defaultLFradius = expr($lc);
- }
- chk_rparen("after $cmd arguments",$lc);
- chk_comment("after $cmd command",$lc);
-
- }
- elsif (s/^\s*point(?=\W)//i)
- {
- my ($Point_Line);
- chomp($Point_Line=$_);
- my ($pointStar, $PointName, $origPN);
- $pointStar = 0; # default value: he have a point command
- $pointStar = 1 if s/^\*//;
- chk_lparen("point" . (($pointStar)?"*":""),$lc);
- if (s/^([^\W\d_](?![^\W\d_])\d{0,3})//i) {
- #
- # Note: the regular expression (foo)(?!bar) means that we are
- # looking a foo not followed by a bar. Moreover, the regular
- # expression [^\W\d_] means that we are looking for letter.
- #
- $origPN = $1;
- $PointName = lc($1);
- }
- else {
- PrintErrorMessage("Invalid point name",$lc);
- next LINE;
- }
- #if ($pointStar and !exists($PointTable{$PointName})) {
- # PrintWarningMessage("Point $origPN has not been defined",$lc);
- #}
- if (!$pointStar and exists($PointTable{$PointName})) {
- PrintWarningMessage("Point $origPN has been used already",$lc);
- }
- chk_rparen("point" . (($pointStar)?"*":""). "($origPN",$lc);
- chk_lcb("point" . (($pointStar)?"*":""). "($origPN)",$lc);
- my ($Px, $Py);
- if (s/^perpendicular(?=\W)//i) {
- chk_lparen("perpendicular",$lc);
- my $FirstPoint = &get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- chk_comma($lc);
- my $SecondPoint = &get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- my $ThirdPoint = &get_point($lc);
- next LINE if $ThirdPoint eq "_undef_";
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$ThirdPoint});
- ($Px, $Py) = perpendicular($x1,$y1,$x2,$y2,$x3,$y3);
-
- }
- elsif (s/^intersection(?=\W)//i) {
- chk_lparen("intersection",$lc);
- my $FirstPoint = get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- my $SecondPoint = get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- chk_comma($lc);
- my $ThirdPoint = get_point($lc);
- next LINE if $ThirdPoint eq "_undef_";
- my $ForthPoint = get_point($lc);
- next LINE if $ForthPoint eq "_undef_";
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$ThirdPoint});
- my ($x4,$y4,$pSV4,$pS4)=unpack("d3A*",$PointTable{$ForthPoint});
- ($Px, $Py) = intersection4points($x1,$y1,$x2,$y2,$x3,$y3,$x4,$y4);
-
-
- }
- elsif (s/^midpoint(?=\W)//i) {
- chk_lparen("midpoint",$lc);
- my $FirstPoint = &get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- my $SecondPoint = &get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- $Px = $x1 + ($x2 - $x1)/2;
- $Py = $y1 + ($y2 - $y1)/2;
-
- }
- elsif (s/^pointonline(?=\W)//i) {
- chk_lparen("pointonline",$lc);
- my $FirstPoint = &get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- my $SecondPoint = &get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- chk_comma($lc);
- # now get the distance
- my $distance = expr($lc);
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- ($Px, $Py) = pointOnLine($x1,$y1,$x2,$y2,$distance);
-
- }
- elsif (s/^circumcircleCenter(?=\W)//i) {
- chk_lparen("circumCircleCenter",$lc);
- my $FirstPoint = &get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- my $SecondPoint = &get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- my $ThirdPoint = &get_point($lc);
- next LINE if $ThirdPoint eq "_undef_";
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$ThirdPoint});
- ($Px, $Py,$r) = &circumCircleCenter($x1,$y1,$x2,$y2,$x3,$y3,$lc);
- next LINE if $Px == 0 and $Py == 0 and $r == 0;
-
- }
- elsif (s/^IncircleCenter(?=\W)//i) {
- chk_lparen("IncircleCenter",$lc);
- my $FirstPoint = &get_point($lc);
- next LINE if $FirstPoint eq "_undef_";
- my $SecondPoint = &get_point($lc);
- next LINE if $SecondPoint eq "_undef_";
- my $ThirdPoint = &get_point($lc);
- next LINE if $ThirdPoint eq "_undef_";
- chk_rparen("No closing parenthesis found",$lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$FirstPoint});
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$SecondPoint});
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$ThirdPoint});
- ($Px, $Py, $r) = IncircleCenter($x1,$y1,$x2,$y2,$x3,$y3);
-
- }
- elsif (s/^ExcircleCenter(?=\W)//i) {
- chk_lparen("ExcircleCenter",$lc);
- my $PointA = get_point($lc);
- next LINE if $PointA eq "_undef_";
- my $PointB = get_point($lc);
- next LINE if $PointB eq "_undef_";
- my $PointC = get_point($lc);
- next LINE if $PointC eq "_undef_";
- chk_comma($lc);
- my $PointD = &get_point($lc);
- next LINE if $PointD eq "_undef_";
- if (!memberOf($PointD, $PointA, $PointB, $PointC)) {
- PrintErrorMessage("Current point isn't a side point",$lc);
- next LINE;
- }
- my $PointE = get_point($lc);
- next LINE if $PointE eq "_undef_";
- if (!memberOf($PointE, $PointA, $PointB, $PointC)) {
- PrintErrorMessage("Current point isn't a side point",$lc);
- next LINE;
- }
- if ($PointD eq $PointE) {
- PrintErrorMessage("Side points are identical",$lc);
- next LINE;
- }
- ($Px, $Py, $r) = excircle($PointA, $PointB, $PointC,
- $PointD, $PointE);
- chk_rparen("after coordinates part",$lc);
-
- }
- elsif (/^[^\W\d_]\d{0,3}\s*[^,\w]/) {
- m/^([^\W\d_]\d{0,3})\s*/i;
- if (exists($PointTable{lc($1)})) {
- my $Tcoord = get_point($lc);
- my ($x,$y,$pSV,$pS)=unpack("d3A*",$PointTable{$Tcoord});
- $Px = $x;
- $Py = $y;
- }
- else {
- $Px = expr();
- chk_comma($lc);
- $Py = expr();
- }
- }
- elsif (/[^\W\d_]\d{0,3}\s*,\s*shift|polar|rotate|vector/i) { #a point?
- s/^([^\W\d_]\d{0,3})//i;
- my $PointA = $1;
- if (exists($PointTable{lc($PointA)})) {
- s/\s*//;
- if (s/^,//) {
- s/\s*//;
- if (s/^shift(?=\W)//i) {
-
- chk_lparen("shift",$lc);
- my $dist1 = expr($lc);
- chk_comma($lc);
- my $dist2 = expr($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{lc($PointA)});
- $Px = $x1 + $dist1;
- $Py = $y1 + $dist2;
- chk_rparen("shift part",$lc);
-
- }
- elsif (s/^polar(?=\W)//i) {
- chk_lparen("polar",$lc);
- my ($R1, $Theta1);
- $R1 = expr($lc);
- chk_comma($lc);
- $Theta1 = expr($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{lc($PointA)});
- s/\s*//;
- if (s/^rad(?=\W)//i) {
- # do nothing!
- }
- elsif (s/^deg(?=\W)//i) {
- $Theta1 = $Theta1 * PI / 180;
- }
- else {
- #$Theta1 = $Theta1 * PI / 180;
- }
- $Px = $x1 + $R1 * cos($Theta1);
- $Py = $y1 + $R1 * sin($Theta1);
- chk_rparen("after polar part",$lc);
-
- }
- elsif (s/^rotate(?=\W)//i) {
- chk_lparen("rotate",$lc);
- my $Q = lc($PointA);
- my $P = get_point($lc);
- next LINE if $P eq "_undef_";
- chk_comma($lc);
- my $Theta1 = expr($lc);
- my ($xP,$yP,$pSV1,$pS1)=unpack("d3A*",$PointTable{$P});
- my ($xQ,$yQ,$pSV2,$pS2)=unpack("d3A*",$PointTable{$Q});
- s/\s*//;
- if (s/^rad(?=\W)//i)
- {
- # do nothing!
- }
- elsif (s/^deg(?=\W)//i)
- {
- $Theta1 = $Theta1 * PI / 180;
- }
- else
- {
- $Theta1 = $Theta1 * PI / 180;
- }
- # shift origin to P
- $xQ -= $xP;
- $yQ -= $yP;
- # do the rotation
- $Px = $xQ * cos($Theta1) - $yQ * sin($Theta1);
- $Py = $xQ * sin($Theta1) + $yQ * cos($Theta1);
- # return origin back to original origin
- $Px += $xP;
- $Py += $yP;
- chk_rparen("after rotate part",$lc);
-
- }
- elsif (s/^vector(?=\W)//i) {
- chk_lparen("vector",$lc);
- my ($x0,$y0,$pSV0,$pS0) = unpack("d3A*",$PointTable{lc($PointA)});
- my $P = get_point($lc);
- my $Q = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1) = unpack("d3A*",$PointTable{$P});
- my ($x2,$y2,$pSV2,$pS2) = unpack("d3A*",$PointTable{$Q});
- $Px = $x0 + $x2 - $x1;
- $Py = $y0 + $y2 - $y1;
- chk_rparen("vector part",$lc);
-
-
- }
- else {
- PrintErrorMessage("unexpected token",$lc);
- next LINE;
- }
- }
- else {
- my ($xA,$yA,$pSVA,$pSA)=unpack("d3A*",$PointTable{lc($PointA)});
- $Px = $xA;
- $Py = $yA;
- }
- }
- else {
- PrintErrorMessage("Undefined point $PointA",$lc);
- next LINE;
- }
- }
- else {
- $Px = expr();
- chk_comma($lc);
- $Py = expr();
- }
-
- chk_rcb("coordinates part",$lc);
- my $sv = $defaultsymbol;
- my $sh = $defaultLFradius;
- my $side_or_radius = undef;
- if (s/^\[\s*//) { # the user has opted to specify the optional part
- if (/^(symbol|radius|side)\s*/i) {
- my @previous_options = ();
- my $number_of_options = 1;
- my $symbol_set = 0;
- while (s/^(symbol|radius)\s*//i and $number_of_options <= 2) {
- my $option = lc($1);
- if (s/^=\s*//) {
- if (memberOf($option,@previous_options)) {
- PrintErrorMessage("Option \"$option\" has been already defined", $lc);
- my $dummy = expr($lc);
- }
- elsif ($option eq "radius") {
- $sh = expr($lc);
- $sv = $defaultsymbol if ! $symbol_set;
- }
- elsif ($option eq "symbol") {
- if (s/^circle\s*//i) {
- $sv = "circle";
- chk_lparen("after token circle",$lc);
- $side_or_radius = expr($lc);
- chk_rparen("expression",$lc);
- }
- elsif (s/^square\s*//i) {
- $sv = "square";
- chk_lparen("after token square",$lc);
- $side_or_radius = expr($lc);
- chk_rparen("expression",$lc);
- }
- elsif (s/^(((\\\]){1}|(\\,){1}|(\\\s){1}|[^\],\s])+)//) {
- $sv = $1;
- $sv =~ s/\\\]/\]/g;
- $sv =~ s/\\,/,/g;
- $sv =~ s/\\ / /g;
- s/\s*//;
- }
- $symbol_set = 1;
- }
- }
- else {
- PrintErrorMessage("unexpected token", $lc);
- next LINE;
- }
- $number_of_options++;
- push (@previous_options, $option);
- s/^,\s*//;
- }
- }
- else {
- PrintErrorMessage("unexpected token", $lc);
- next LINE;
- }
-
- chk_rsb("optional part",$lc);
- }
- # to avoid truncation problems introduced by the pack function, we
- # round each number up to five decimal digits
- $Px = sprintf("%.5f", $Px);
- $Py = sprintf("%.5f", $Py);
- print OUT "%% point$Point_Line \t$origPN = ($Px, $Py)\n" if $comments_on;
- chk_comment($lc);
- $PointTable{$PointName} = pack("d3A*",$Px,$Py,$sh,$sv);
- if (defined($side_or_radius)) {
- $DimOfPoint{$PointName} = $side_or_radius;
- }
-
- }
- elsif (/^\s*setPointNumber(?=\W)/i)
- {
- PrintWarningMessage("Command setPointNumber is ignored",$lc);
- next LINE;
- }
- elsif (s/^\s*(showAngle(?=\W))//i)
- {
- chk_lparen("showangle",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $point_3 = get_point($lc);
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point_3});
- my $angle = Angle($x1, $y1, $x2, $y2, $x3, $y3);
- $angle = 0 if $angle == -500;
- printf OUT "%%%% angle(%s%s%s) = %.5f deg ( %.5f rad)\n", $point_1,
- $point_2, $point_3, $angle, $angle*D2R;
- chk_rparen("Missing right parenthesis", $lc);
-
- }
- elsif (s/^\s*(showArea(?=\W))//i)
- {
- chk_lparen("showarea",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- my $point_3 = get_point($lc);
- my ($x3,$y3,$pSV3,$pS3)=unpack("d3A*",$PointTable{$point_3});
- print OUT "%% area($point_1$point_2$point_3) = ",
- triangleArea($x1, $y1, $x2, $y2, $x3, $y3), "\n";
- chk_rparen("Missing right parenthesis", $lc);
-
- }
- elsif (s/^\s*(showLength(?=\W))//i)
- {
- chk_lparen("showlength",$lc);
- my $point_1 = get_point($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{$point_1});
- my $point_2 = get_point($lc);
- my ($x2,$y2,$pSV2,$pS2)=unpack("d3A*",$PointTable{$point_2});
- print OUT "%% length($point_1$point_2) = ",
- Length($x1, $y1, $x2, $y2), "\n";
- chk_rparen("Missing right parenthesis", $lc);
-
-
- }
- elsif (/^\s*showPoints(?=\W)/i)
- {
- print OUT "%%-------------------------------------------------\n";
- print OUT "%% L I S T O F P O I N T S \n";
- print OUT "%%-------------------------------------------------\n";
- foreach my $p (keys(%PointTable)) {
- my ($x, $y, $pSV, $pS) = unpack("d3A*",$PointTable{$p});
- printf OUT "%%%%\t%s\t= ( %.5f, %.5f ), LF-radius = %.5f, symbol = %s\n",
- $p, $x, $y, $pSV, $pS;
- }
- print OUT "%%-------------------------------------------------\n";
- print OUT "%% E N D O F L I S T O F P O I N T S \n";
- print OUT "%%-------------------------------------------------\n";
- next LINE;
- }
- elsif (/^\s*showVariables(?=\W)/i)
- {
- print OUT "%%-------------------------------------------------\n";
- print OUT "%% L I S T O F V A R I A B L E S \n";
- print OUT "%%-------------------------------------------------\n";
- foreach my $var (keys(%VarTable)) {
- print OUT "%%\t", $var, "\t=\t", $VarTable{$var}, "\n";
- }
- print OUT "%%-------------------------------------------------\n";
- print OUT "%% E N D O F L I S T O F V A R I A B L E S \n";
- print OUT "%%-------------------------------------------------\n";
- next LINE;
- }
- elsif (s/^\s*(system(?=\W))//i)
- {
- print OUT "%% $1$_" if $comments_on;
-
- chk_lparen("$cmd",$lc);
- my ($error, $command, $rest) = get_string($_);
- next LINE if $error == 1;
- $_ = $rest;
- if (! is_tainted($command)) {
- system($command);
- }
- else {
- PrintErrorMessage("String \"$command\" has tainted data", $lc);
- next LINE;
- }
- chk_rparen("after $cmd arguments",$lc);
- chk_comment("after $cmd command",$lc);
-
- }
- elsif (s/^\s*(text(?=\W))//i)
- {
- print OUT "%% $1$_" if $comments_on;
-
- chk_lparen("text",$lc);
- my ($level,$text)=(1,"");
- TEXTLOOP: while (1)
- {
- $level++ if /^\(/;
- $level-- if /^\)/;
- s/^(.)//;
- last TEXTLOOP if $level==0;
- $text .= $1;
- }
- chk_lcb("text part",$lc);
- my ($Px, $Py,$dummy,$pos);
- $pos="";
- s/\s*//;
-
- if (/^[^\W\d_]\d{0,3}\s*[^,\w]/) {
- my $Tcoord = get_point($lc);
- my ($x,$y,$pSV,$pS)=unpack("d3A*",$PointTable{$Tcoord});
- $Px = $x;
- $Py = $y;
- }
- elsif (/[^\W\d_]\d{0,3}\s*,\s*shift|polar/i) {
- s/^([^\W\d_]\d{0,3})//i;
- my $PointA = $1;
- if (exists($PointTable{lc($PointA)})) {
- s/\s*//;
- if (s/^,//) {
- s/\s*//;
- if (s/^shift(?=\W)//i) {
-
- chk_lparen("shift",$lc);
- my $dist1 = expr($lc);
- chk_comma($lc);
- my $dist2 = expr($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{lc($PointA)});
- $Px = $x1 + $dist1;
- $Py = $y1 + $dist2;
- chk_rparen("shift part",$lc);
-
- }
- elsif (s/^polar(?=\W)//i) {
- chk_lparen("polar",$lc);
- my ($R1, $Theta1);
- $R1 = expr($lc);
- chk_comma($lc);
- $Theta1 = expr($lc);
- my ($x1,$y1,$pSV1,$pS1)=unpack("d3A*",$PointTable{lc($PointA)});
- s/\s*//;
- if (s/^rad(?=\W)//i) {
- # do nothing!
- }
- elsif (s/^deg(?=\W)//i) {
- $Theta1 = $Theta1 * PI / 180;
- }
- else {
- #$Theta1 = $Theta1 * PI / 180;
- }
- $Px = $x1 + $R1 * cos($Theta1);
- $Py = $y1 + $R1 * sin($Theta1);
- chk_rparen("after polar part",$lc);
-
- }
- }
- }
- else {
- PrintErrorMessage("undefined point/var",$lc);
- next LINE;
- }
- }
- else {
- $Px = expr();
- chk_comma($lc);
- $Py = expr();
- }
-
- chk_rcb("coordinates part of text command",$lc);
- if (s/^\[//)
- {
- s/\s*//;
-
- if (s/^(\w{1})\s*//) {
- $pos .= $1;
- if (memberOf($pos, "l", "r")) {
- if (s/^(\w{1})\s*//) {
- my $np = $1;
- if (memberOf($np, "t", "b", "B")) {
- $pos .= $np;
- }
- else {
- if (memberOf($np, "l", "r")) {
- PrintErrorMessage("$np can't follow 'l' or 'r'", $lc);
- }
- else {
- PrintErrorMessage("$np is not a valid positioning option", $lc);
- }
- next LINE;
- }
- }
- }
- elsif (memberOf($pos, "t", "b", "B")) {
- if (s/^(\w{1})\s*//) {
- my $np = $1;
- if (memberOf($np, "l", "r")) {
- $pos .= $np;
- }
- else {
- if (memberOf($np, "t", "b", "B")) {
- PrintErrorMessage("$np can't follow 't', 'b', or 'B'", $lc);
- }
- else {
- PrintErrorMessage("$np is not a valid positioning option", $lc);
- }
- next LINE;
- }
- }
- }
- else {
- PrintErrorMessage("$pos is not a valid positioning option", $lc);
- next LINE;
- }
- }
- else {
- PrintErrorMessage("illegal token in optional part of text command",$lc);
- next LINE;
- }
-
- s/\s*//;
- chk_rsb("optional part of text command",$lc);
- }
- chk_comment($lc);
- if ($pos eq "")
- {
- printf OUT "\\put {%s} at %f %f\n", $text, $Px, $Py;
- }
- else
- {
- printf OUT "\\put {%s} [%s] at %f %f\n", $text, $pos, $Px, $Py;
- }
-
- }
- elsif (s/^\s*(var(?=\W))//i)
- {
- print OUT "%% $1$_" if $comments_on;
- do{
- s/\s*//;
- PrintErrorMessage("no identifier found after token var",$lc)
- if $_ !~ s/^([^\W\d_]\d{0,3})//i;
- my $Varname = $1;
- my $varname = lc($Varname);
- if (exists $ConstTable{$varname}) {
- PrintErrorMessage("Redefinition of constant $varname",$lc);
- }
- s/\s*//; #remove leading white space
- PrintErrorMessage("did not find expected = sign",$lc)
- if $_ !~ s/^[=]//i;
- my $val = expr($lc);
- $VarTable{$varname} = $val;
- print OUT "%% $Varname = $val\n" if $comments_on;
- }while (s/^,//);
- chk_comment($lc);
- s/\s*//;
- if (/^[^%]/) {
- PrintWarningMessage("Trailing text is ignored",$lc);
- }
- }
- elsif (/^\s*\\(.+)/)
- {
- my $line = $1;
- if ($line =~ /^\s+(.+)/)
- {
- print OUT " $line\n";
- }
- else
- {
- print OUT "\\$line\n";
- }
- next LINE;
- }
- elsif (0==length) #empty line
- {
- next LINE;
- }
- else {
- PrintErrorMessage("command not recognized",$lc);
- next LINE;
- }
-
- }
- }
- }
-
-
-our $alarm="";
-our $comments_on=1;
-our $out_file="default";
-our $argc=@ARGV;
-if ($argc == 0 || $argc > 5 ){ # no command line arguments or more than 4
- # arguments
- die "\nmathspic version $version_number\n" .
- "Usage: mathspic [-h] [-b] [-c] [-o <out file>] <in file>\n\n";
-}
-else {
- our $file = "";
- SWITCHES:
- while($_ = $ARGV[0]) {
- shift;
- if (/^-h$/) {
- die "\nThis is mathspic version $version_number\n" .
- "Type \"man mathspic\" for detailed help\n".
- "Usage:\tmathspic [-h] [-b] [-c] [-o <out file>] <in file>\n" .
- "\twhere,\n" .
- "\t[-b]\tenables bell sound if error exists\n" .
- "\t[-c]\tdisables comments in ouput file\n" .
- "\t[-h]\tgives this help listing\n" .
- "\t[-o]\tcreates specified output file\n\n";
- }
- elsif (/^-b$/) {
- $alarm = chr(7);
- }
- elsif (/^-c$/) {
- $comments_on = 0;
- }
- elsif (/^-o$/) {
- die "No output file specified!\n" if !@ARGV;
- $out_file = $ARGV[0];
- shift;
- }
- elsif (/^-\w+/) {
- die "$_: Illegal command line switch!\n";
- }
- else {
- $file = $_;
- }
- }
- die "No input file specified!\n" if $file eq "";
-
- print "This is mathspic version $version_number\n";
-}
- our ($source_file, $log_file);
- if (! -e $file) {
- die "$file: no such file!\n" if (! (-e "$file.m"));
- $source_file = "$file.m";
- }
- else {
- $source_file = $file;
- $file = $1 if $file =~ /(\w[\w-\.]+)\.\w+/;
- }
- $out_file= "$file.mt" if $out_file eq "default";
- $log_file= "$file.mlg";
-
-
- open(IN,"$source_file")||die "Can't open source file: $source_file\n";
- open(OUT,">$out_file")||die "Can't open output file: $out_file\n";
- open(LOG,">$log_file")||die "Can't open log file: $log_file\n";
- print_headers;
- process_input(IN,"");
-
-print $alarm if $no_errors > 0;
-__END__
-