version 1.1, 2005/02/24 01:21:51
|
version 1.13, 2005/06/09 02:17:12
|
Line 6
|
Line 6
|
## Additions and modifications were made by Arnold Pizer, Dept of Math, Univ of Rochester |
## Additions and modifications were made by Arnold Pizer, Dept of Math, Univ of Rochester |
|
|
#use Data::Dumper; |
#use Data::Dumper; |
|
use strict; |
|
|
package AlgParser; |
package AlgParser; |
use HTML::Entities; |
use HTML::Entities; |
|
|
%close = (); |
my %close = (); |
|
|
sub new { |
sub new { |
my $package = shift; |
my $package = shift; |
Line 36 $close{'{'} = '}';
|
Line 37 $close{'{'} = '}';
|
$close{'['} = ']'; |
$close{'['} = ']'; |
$close{'('} = ')'; |
$close{'('} = ')'; |
|
|
$binoper3 = '(?:\\^|\\*\\*)'; |
my $binoper3 = '(?:\\^|\\*\\*)'; |
$binoper2 = '[/*_,]'; |
my $binoper2 = '[/*_,]'; |
$binoper1 = '[-+=><%!#]'; |
my $binoper1 = '(?:<>|<=|>=|[-+=><%!])'; |
$openparen = '[{(\\[]'; |
my $openparen = '[{(\\[]'; |
$closeparen = '[})\\]]'; |
my $closeparen = '[})\\]]'; |
$varname = '[A-Za-z](?:_[0-9]+)?'; |
my $varname = '[A-Za-z](?:_[0-9]+)?'; |
$specialvalue = '(?:e|pi|da|db|dc|de|df|dg|dh|di|dj|dk|dl|dm|dn|do|dp|dq|dr|ds|dt|du|dv|dw|dx|dy|dz|infty|alpha|bita|gamma|zita|thita|iota|kappa|lambda|mu|nu|xi|rho|sigma|tau|phi|chi|psi|omega|zepslon|zdelta|xeta|zupslon|zeroplace)'; |
my $greek='alpha|(?:(?:(?:var)?(?:[tT]h))|(?:[bz])?)eta|[gG]amma|iota|kappa|[lL]ambda|mu|nu|[xX]i|(?:var)?rho|(?:var)?[sS]igma|tau|(?:var)?(?:[pP])hi|chi|[oO]mega|(?:(?:var)?(?:[eE])|(?:[uU]))psilon|[dD]elta|[pP]si|(?:var)?[pP]i'; |
$numberplain = '(?:\d+(?:\.\d*)?|\.\d+)'; |
my $delete='zeroplace'; |
$numberE = '(?:' . $numberplain . 'E[-+]?\d+)'; |
my $escape='infty'; |
$number = '(?:' . $numberE . '|' . $numberplain . ')'; |
my $specialvalue = '(?:'.$escape.'|'.$greek.'|'.$delete.'|d[a-z]|e)'; |
|
|
|
my $numberplain = '(?:\d+(?:\.\d*)?|\.\d+)'; |
|
my $numberE = '(?:' . $numberplain . 'E[-+]?\d+)'; |
|
my $number = '(?:' . $numberE . '|' . $numberplain . ')'; |
# |
# |
# DPVC -- 2003/03/31 |
# DPVC -- 2003/03/31 |
# added missing trig and inverse functions |
# added missing trig and inverse functions |
# |
# |
#$trigfname = '(?:cosh|sinh|tanh|cot|(?:a(?:rc)?)?cos|(?:a(?:rc)?)?sin|' . |
#$trigfname = '(?:cosh|sinh|tanh|cot|(?:a(?:rc)?)?cos|(?:a(?:rc)?)?sin|' . |
# '(?:a(?:rc)?)?tan|sech?)'; |
# '(?:a(?:rc)?)?tan|sech?)'; |
$trigfname = '(?:(?:a(?:rc)?)?(?:sin|cos|tan|sec|csc|cot)h?)'; |
my $trigfname = '(?:(?:a(?:rc)?)?(?:sin|cos|tan|sec|csc|cot)h?)'; |
# |
# |
# End DPVC |
# End DPVC |
# |
# |
$otherfunc = '(?:exp|abs|logten|log|ln|sqrt|sgn|step|fact|int|lim|fun[a-zA-Z])'; |
my $otherfunc = '(?:exp|abs|logten|log|ln|sqrt|sgn|step|fact|int|lim|fun[a-zA-Z])'; |
$funcname = '(?:' . $otherfunc . '|' . $trigfname . ')'; |
my $funcname = '(?:' . $otherfunc . '|' . $trigfname . ')'; |
|
|
$tokenregexp = "(?:($binoper3)|($binoper2)|($binoper1)|($openparen)|" . |
my $tokenregexp = "(?:($binoper3)|($binoper2)|($binoper1)|($openparen)|" . |
"($closeparen)|($funcname)|($specialvalue)|($varname)|" . |
"($closeparen)|($funcname)|($specialvalue)|($varname)|" . |
"($numberE)|($number))"; |
"($numberE)|($number))"; |
|
|
Line 95 sub parse {
|
Line 100 sub parse {
|
my (@pushback) = (); |
my (@pushback) = (); |
|
|
my $currentref = \$self->{parseresult}->[1]; |
my $currentref = \$self->{parseresult}->[1]; |
my $curenttok; |
my $currenttok; |
|
|
my $sstring = shift; |
my $sstring = shift; |
$self->inittokenizer($sstring); |
$self->inittokenizer($sstring); |
Line 383 sub normalize_expr {
|
Line 388 sub normalize_expr {
|
} |
} |
|
|
package AlgParserWithImplicitExpand; |
package AlgParserWithImplicitExpand; |
|
no strict; |
@ISA=qw(AlgParser); |
@ISA=qw(AlgParser); |
|
use strict; |
|
|
sub arraytoexpr { |
sub arraytoexpr { |
my ($self) = shift; |
my ($self) = shift; |
Line 527 sub tolatex {
|
Line 534 sub tolatex {
|
/binop1/ && do { |
/binop1/ && do { |
my ($p1, $p2) = ('',''); |
my ($p1, $p2) = ('',''); |
if ($args[2]->[0] eq 'binop1') {($p1,$p2)=qw{ \left( \right) };} |
if ($args[2]->[0] eq 'binop1') {($p1,$p2)=qw{ \left( \right) };} |
return ($args[1]->tolatex() . $args[0] . $p1 . |
my $cmd=$args[0]; |
|
if ($args[0] eq '<>') { $cmd='\\not= '; } |
|
elsif ($args[0] eq '<=') { $cmd='\\leq '; } |
|
elsif ($args[0] eq '>=') { $cmd='\\geq '; } |
|
return ($args[1]->tolatex() . $cmd . $p1 . |
$args[2]->tolatex() . $p2); |
$args[2]->tolatex() . $p2); |
}; |
}; |
/unop1/ && do { |
/unop1/ && do { |
Line 558 sub tolatex {
|
Line 569 sub tolatex {
|
return('\frac{' . $args[1]->tolatex() . '}'. |
return('\frac{' . $args[1]->tolatex() . '}'. |
'{' . $args[2]->tolatex() . '}' ); |
'{' . $args[2]->tolatex() . '}' ); |
} |
} |
|
elsif ($args[0] eq '*'){ |
|
return($args[1]->tolatex() . '\cdot ' . $args[2]->tolatex() ); |
|
} |
else{ |
else{ |
return ($p1 . $args[1]->tolatex() . $p2 . $args[0] . $p3 . |
return ($p1 . $args[1]->tolatex() . $p2 . $args[0] . $p3 . |
$args[2]->tolatex() . $p4); |
$args[2]->tolatex() . $p4); |
Line 574 sub tolatex {
|
Line 588 sub tolatex {
|
}; |
}; |
/func1/ && do { |
/func1/ && do { |
my($p1,$p2); |
my($p1,$p2); |
if($args[0] eq "sqrt"){($p1,$p2)=qw{ \left{ \right} };} |
if($args[0] eq "sqrt"){($p1,$p2)=('{','}');} |
else {($p1,$p2)=qw{ \left( \right) };} |
else {($p1,$p2)=qw{ \left( \right) };} |
|
|
# |
# |
Line 582 sub tolatex {
|
Line 596 sub tolatex {
|
# added missing trig functions |
# added missing trig functions |
# |
# |
#$specialfunc = '(?:abs|logten|asin|acos|atan|sech|sgn|step|fact)'; |
#$specialfunc = '(?:abs|logten|asin|acos|atan|sech|sgn|step|fact)'; |
$specialfunc = '(?:abs|logten|a(?:sin|cos|tan|sec|csc|cot)h?|sgn|step|fact)'; |
my $specialfunc = '(?:(logten)|a(sin|cos|tan|sec|csc|cot)(h)?|sgn|step|fact|(abs))'; |
# |
# |
# End DPVC |
# End DPVC |
# |
# |
|
|
if ($args[0] =~ /$specialfunc/) { |
if ($args[0] =~ /$specialfunc/) { |
return ('\mbox{' . $args[0] .'}'. $p1 . $args[1]->tolatex() . $p2); |
if (defined($1)) { |
|
return ('\log_{10}'. $p1 . $args[1]->tolatex() . $p2); |
|
} |
|
elsif (defined($2)) { |
|
if (defined($3) && ($2 eq 'sec' || $2 eq 'csc' || $2 eq 'cot')) { |
|
return ('\mathrm{' . $2.$3 .'}^{-1}'. $p1 . $args[1]->tolatex() . $p2); |
|
} else { |
|
return ('\\' . $2.$3 .'^{-1}'. $p1 . $args[1]->tolatex() . $p2); |
|
} |
|
} |
|
elsif (defined($4)) { |
|
return ('|' . $args[1]->tolatex() . '|'); |
|
} |
|
else { |
|
return ('\mbox{' . $args[0] .'}'. $p1 . $args[1]->tolatex() . $p2); |
|
} |
} |
} |
else { |
else { |
return ('\\' . $args[0] . $p1 . $args[1]->tolatex() . $p2); |
if ($args[0] =~/(sec|csc|cot)h/) { |
|
return ('\mathrm{' . $args[0] . '}' . $p1 . $args[1]->tolatex() . $p2); |
|
} else { |
|
return ('\\' . $args[0] . $p1 . $args[1]->tolatex() . $p2); |
|
} |
} |
} |
}; |
}; |
/special/ && do { |
/special/ && do { |
if ($args[0] eq 'pi') {return '\pi';} else {return $args[0];} |
if ($args[0] =~/($greek|$escape)/) {return '\\'.$1;} |
|
elsif ($args[0] =~/$delete/) {return '';} |
|
else { return $args[0]; } |
}; |
}; |
/varname|(:?number$)/ && return $args[0]; |
/varname|(:?number$)/ && return $args[0]; |
/numberE/ && do { |
/numberE/ && do { |
Line 604 sub tolatex {
|
Line 639 sub tolatex {
|
}; |
}; |
/closep/ && do { |
/closep/ && do { |
my($backslash) = ''; |
my($backslash) = ''; |
my(%close) = %AlgParser::close; |
|
if ($args[0] eq '{') {$backslash = '\\';} |
if ($args[0] eq '{') {$backslash = '\\';} |
#This is for editors to match: } |
#This is for editors to match: } |
return ('\left' . $backslash . $args[0] . $args[1]->tolatex() . |
return ('\left' . $backslash . $args[0] . $args[1]->tolatex() . |
Line 628 sub fromarray {
|
Line 662 sub fromarray {
|
} |
} |
|
|
package ExprWithImplicitExpand; |
package ExprWithImplicitExpand; |
|
no strict; |
@ISA=qw(Expr); |
@ISA=qw(Expr); |
|
use strict; |
|
|
sub tostring { |
sub tostring { |
# print STDERR "ExprWIE::tostring\n"; |
# print STDERR "ExprWIE::tostring\n"; |