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-rwxr-xr-xMaster/texmf-dist/scripts/mathspic/mathspic.pl3336
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diff --git a/Master/texmf-dist/scripts/mathspic/mathspic.pl b/Master/texmf-dist/scripts/mathspic/mathspic.pl
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+#!/usr/bin/perl
+#
+#(c) Copyright 2005-2010 VERSION 1.13 April 26, 2010
+# Apostolos Syropoulos & R.W.D. Nickalls
+# asyropoulos@yahoo.com dick@nickalls.org
+#
+# 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 = "1.13 Apr 26, 2010";
+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/;
+ EXPANSIONLOOP: while () {
+ my $org_in_line = $in_line;
+ for(my $i = $#Macros; $i >= 0; $i--) {
+ my $macro_name = $Macros[$i]->{'macro_name'};
+ if ($in_line =~ /&$macro_name\b/) { ############################
+ my $num_of_macro_args = @{$Macros[$i]->{'macro_param'}};
+ if ( $num_of_macro_args > 0 ) {
+ # Macro with parameters
+ 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 =~ /&$macro_name\b/) {
+ if ($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;
+ # 'g': Parameter may occur several times
+ # in $new_code.
+ # '\b': Substitute only whole words
+ # not x in xA
+ $new_code =~ s/\b$old\b/$new/g;
+ }
+ $in_line = "$before$new_code$after";
+ }
+ else {
+ PrintErrorMessage("Usage of macro &$macro_name does not " .
+ "match its definition", $LC);
+ return "";
+ }
+ }
+ }
+ else {
+ # Macro without parameters
+ my $replacement = $Macros[$i]->{'macro_code'};
+ # '\b': Substitute only whole words
+ # not x in xA
+ $in_line =~ s/&$macro_name\b/$replacement/g;
+ }
+ }
+ }
+ last EXPANSIONLOOP if ( $org_in_line eq $in_line );
+ }
+ return "$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) 2005-2010 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) 2005-2010 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{0,4})\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{0,4}[^\W\d_]\d{0,4}/) #it is a pair of IDs?
+ {
+ s/^([^\W\d_]\d{0,4})//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{0,4}//i;
+ return (0,0);
+ }
+ $v1 = lc($v1);
+ s/^\s*([^\W\d_]\d{0,4})//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{0,4})//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{0,4})\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 positive 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 $found;
+ }
+
+ sub midpoint {
+ my ($x1, $y1, $x2, $y2)=@_;
+ return ($x1 + ($x2 - $x1)/2,
+ $y1 + ($y2 - $y1)/2);
+ }
+
+
+ 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{0,4})//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{0,4})//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($lc);
+ #
+ #actual computation
+ #
+ my ($Px, $Py) = pointOnLine($x2, $y2, $x1, $y1, $dist);
+ my ($Qx, $Qy) = pointOnLine($x2, $y2, $x3, $y3, $dist);
+ my ($Tx, $Ty) = midpoint($Px, $Py, $Qx, $Qy);
+ my ($Ux, $Uy) = pointOnLine($x2, $y2, $Tx, $Ty, 2*Length($x2, $y2, $Tx, $Ty));
+ if ($Px == $Ux || $Py == $Uy) {
+ printf OUT "\\putrule from %.5f %.5f to %.5f %.5f \n", $Px,$Py,$Ux,$Uy;
+ }
+ else {
+ printf OUT "\\plot %.5f %.5f\t%.5f %.5f / \n", $Px, $Py,$Ux,$Uy;
+ }
+ if ($Ux == $Qx || $Uy == $Qy) {
+ printf OUT "\\putrule from %.5f %.5f to %.5f %.5f \n", $Ux,$Uy,$Qx,$Qy;
+ }
+ else {
+ printf OUT "\\plot %.5f %.5f\t%.5f %.5f / \n", $Ux, $Uy,$Qx,$Qy;
+ }
+
+
+ }
+ elsif (s/^\s*(drawsquare(?=\W))//i)
+ {
+ my ($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{0,4})//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, $Py) = midpoint($x1, $y1, $x2, $y2);
+
+ }
+ elsif (s/^pointonline(?=\W)//i) {
+ chk_lparen("pointonline",$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{0,4}\s*[^,\w]/) {
+ m/^([^\W\d_]\d{0,4})\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{0,4}\s*,\s*shift|polar|rotate|vector/i) { #a point?
+ s/^([^\W\d_]\d{0,4})//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{0,4}\s*[^,\w]/) {
+ my $Tcoord = get_point($lc);
+ my ($x,$y,$pSV,$pS)=unpack("d3A*",$PointTable{$Tcoord});
+ $Px = $x;
+ $Py = $y;
+ }
+ elsif (/[^\W\d_]\d{0,4}\s*,\s*shift|polar/i) {
+ s/^([^\W\d_]\d{0,4})//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{0,4})//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 $version_number\n" .
+ "Type \"man mathspic\" for detailed help\n".
+ "Usage:\tmathspic [-h] [-b] [-c] [-o <out file>] <in file>\n" .
+ "\twhere,\n" .
+ "\t[-b]\tenables bell sound if error exists\n" .
+ "\t[-c]\tdisables comments in output file\n" .
+ "\t[-h]\tgives this help listing\n" .
+ "\t[-o]\tcreates specified output file\n\n";
+ }
+ elsif (/^-b$/) {
+ $alarm = chr(7);
+ }
+ elsif (/^-c$/) {
+ $comments_on = 0;
+ }
+ elsif (/^-o$/) {
+ die "No output file specified!\n" if !@ARGV;
+ $out_file = $ARGV[0];
+ shift;
+ }
+ elsif (/^-\w+/) {
+ die "$_: Illegal command line switch!\n";
+ }
+ else {
+ $file = $_;
+ }
+ }my ($xA, $yA, $xB, $yB, $dist)=@_;
+ 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__
+