version 1.30, 2010/11/09 02:29:52
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version 1.34, 2010/11/11 15:57:49
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Line 389 sub start_functionplotrule {
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Line 389 sub start_functionplotrule {
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&Apache::lonxml::get_param('xfinal',$parstack,$safeeval), |
&Apache::lonxml::get_param('xfinal',$parstack,$safeeval), |
$endinglabel, |
$endinglabel, |
$relationship, |
$relationship, |
&Apache::lonxml::get_param('value',$parstack,$safeeval) |
&Apache::lonxml::get_param('value',$parstack,$safeeval), |
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&Apache::lonxml::get_param('percenterror',$parstack,$safeeval) |
))); |
))); |
} elsif ($target eq 'edit') { |
} elsif ($target eq 'edit') { |
$result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule'). |
$result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule'). |
Line 398 sub start_functionplotrule {
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Line 399 sub start_functionplotrule {
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&Apache::edit::select_arg(&mt('Function:'),'derivative', |
&Apache::edit::select_arg(&mt('Function:'),'derivative', |
[['0','Function itself'], |
[['0','Function itself'], |
['1','First derivative'], |
['1','First derivative'], |
['2','Second derivative']],$token).' '. |
['2','Second derivative']],$token).'<br />'. |
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&Apache::edit::text_arg('(Initial) x-value:','xinitial', |
&Apache::edit::text_arg('(Initial) x-value:','xinitial', |
$token,'4'). |
$token,'4'). |
&Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel', |
&Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel', |
[['start','Start of Plot']],$token,'8').' '. |
[['start','Start of Plot']],$token,'8').'<br />'. |
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&Apache::edit::text_arg('Optional final x-value for ranges:','xfinal', |
&Apache::edit::text_arg('Optional final x-value for ranges:','xfinal', |
$token,'4'). |
$token,'4'). |
&Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel', |
&Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel', |
[['end','End of Plot']],$token,'8').' '. |
[['end','End of Plot']],$token,'8').'<br />'. |
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&Apache::edit::select_arg(&mt('Relationship:'),'relationship', |
&Apache::edit::select_arg(&mt('Relationship:'),'relationship', |
[['eq','equal'], |
[['eq','equal'], |
Line 638 sub populate_arrays {
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Line 639 sub populate_arrays {
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my $dxdt=&ddt_cubic_hermite($t,@xparms); |
my $dxdt=&ddt_cubic_hermite($t,@xparms); |
if ($dxdt) { |
if ($dxdt) { |
$Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; |
$Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; |
} |
# Second derivative |
# Faa di Bruno |
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# d^2y/dx^2=(d^2y/dt^2)/(dx/dt)^2+(dy/dt)/(d^2x/dt^2) |
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my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms); |
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if (($dxdt) && ($d2xdt2)) { |
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$Apache::functionplotresponse::d2funcdx2[$xi]= |
$Apache::functionplotresponse::d2funcdx2[$xi]= |
&d2dt2_cubic_hermite($t,@yparms)/($dxdt*$dxdt) |
($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ |
+&ddt_cubic_hermite($t,@yparms)/$d2xdt2; |
($dxdt*$dxdt*$dxdt); |
} |
} |
} |
} |
} |
} |
Line 719 sub start_functionplotresponse {
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Line 716 sub start_functionplotresponse {
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&Apache::edit::text_arg('Maximum x-value:','xmax', |
&Apache::edit::text_arg('Maximum x-value:','xmax', |
$token,'4').' '. |
$token,'4').' '. |
&Apache::edit::select_arg('x-axis visible:','xaxisvisible', |
&Apache::edit::select_arg('x-axis visible:','xaxisvisible', |
['yes','no'],$token).' '. |
['yes','no'],$token).'<br />'. |
&Apache::edit::text_arg('Label y-axis:','ylabel', |
&Apache::edit::text_arg('Label y-axis:','ylabel', |
$token,'6').' '. |
$token,'6').' '. |
&Apache::edit::text_arg('Minimum y-value:','ymin', |
&Apache::edit::text_arg('Minimum y-value:','ymin', |
Line 727 sub start_functionplotresponse {
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Line 724 sub start_functionplotresponse {
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&Apache::edit::text_arg('Maximum y-value:','ymax', |
&Apache::edit::text_arg('Maximum y-value:','ymax', |
$token,'4').' '. |
$token,'4').' '. |
&Apache::edit::select_arg('y-axis visible:','yaxisvisible', |
&Apache::edit::select_arg('y-axis visible:','yaxisvisible', |
['yes','no'],$token).' '. |
['yes','no'],$token).'<br />'. |
&Apache::edit::select_arg('Grid visible:','gridvisible', |
&Apache::edit::select_arg('Grid visible:','gridvisible', |
['yes','no'],$token). |
['yes','no'],$token). |
&Apache::edit::end_row().&Apache::edit::start_spanning_row(); |
&Apache::edit::end_row().&Apache::edit::start_spanning_row(); |
Line 791 sub compare_rel {
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Line 788 sub compare_rel {
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} |
} |
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sub functionplotrulecheck { |
sub functionplotrulecheck { |
my ($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)=@_; |
my ($rule,$xmin,$xmax,$ymin,$ymax)=@_; |
&Apache::lonnet::logthis("Rule $rule TolFunc $tolfunc TolDfDx $toldfdx TolD2fDx2 $told2fdx2"); |
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my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value) |
# &Apache::lonnet::logthis("Rule $rule $xmin $xmax $ymin $ymax"); |
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my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value,$percent) |
=split(/\:/,$rule); |
=split(/\:/,$rule); |
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$percent=($percent>0?$percent:5); |
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my $li=0; |
my $li=0; |
my $lh=400; |
my $lh=400; |
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# Special case: the upper boundary was not defined |
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# and needs to be set to the value where |
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# the condition is not true anymore => set flag |
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my $findupper=0; |
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if (($xfinal eq '') |
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&& (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) |
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&& ($xfinallabel)) { |
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$findupper=1; |
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} |
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# if a hard value is set for the boundaries, it overrides the label |
# if a hard value is set for the boundaries, it overrides the label |
if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { |
if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { |
$li=&array_index($xmin,$xmax,$xinitial); |
$li=&array_index($xmin,$xmax,$xinitial); |
Line 808 sub functionplotrulecheck {
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Line 819 sub functionplotrulecheck {
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$lh=&array_index($xmin,$xmax,$xfinal); |
$lh=&array_index($xmin,$xmax,$xfinal); |
$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; |
$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; |
} |
} |
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# if the label is defined, use it |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { |
$li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; |
$li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; |
} else { |
} else { |
$li=&array_index($xmin,$xmax,$xinitial); |
$li=&array_index($xmin,$xmax,$xinitial); |
} |
} |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { |
unless ($findupper) { |
$lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}; |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { |
} else { |
$lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; |
$lh=&array_index($xmin,$xmax,$xfinal); |
} else { |
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$lh=&array_index($xmin,$xmax,$xfinal); |
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} |
} |
} |
# Basic sanity checks |
# Basic sanity checks |
if ($li<0) { $li=0; } |
if ($li<0) { $li=0; } |
Line 824 sub functionplotrulecheck {
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Line 838 sub functionplotrulecheck {
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if ($li>$lh) { |
if ($li>$lh) { |
$lh=$li; |
$lh=$li; |
} |
} |
&Apache::lonnet::logthis("Init $xinitial=$li Final $xfinal=$lh"); |
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my $tol=$tolfunc; |
# &Apache::lonnet::logthis("Init $xinitial=$li Final $xfinal=$lh Findupper: $findupper"); |
if ($derivative==2) { |
my $tol=$percent*($ymax-$ymin)/100; |
$tol=$told2fdx2; |
if ($xmax>$xmin) { |
} elsif ($derivative==1) { |
if ($derivative==2) { |
$tol=$toldfdx; |
$tol=4.*$tol/($xmax-$xmin); |
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} elsif ($derivative==1) { |
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$tol=2.*$tol/($xmax-$xmin); |
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} |
} |
} |
for (my $i=$li; $i<=$lh; $i++) { |
for (my $i=$li; $i<=$lh; $i++) { |
my $val; |
my $val; |
Line 840 sub functionplotrulecheck {
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Line 857 sub functionplotrulecheck {
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} else { |
} else { |
$val=$Apache::functionplotresponse::func[$i]; |
$val=$Apache::functionplotresponse::func[$i]; |
} |
} |
unless (&compare_rel($relationship,$value,$val,$tol)) { return 0; }; |
unless (&compare_rel($relationship,$value,$val,$tol)) { |
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# &Apache::lonnet::logthis("Condition false $findupper at $i with $val tol:$tol from $value"); |
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if (($findupper) && ($i>$li)) { |
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$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; |
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# &Apache::lonnet::logthis("Setting $xfinallabel to $i"); |
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return 1; |
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} else { |
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return 0; |
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} |
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} |
} |
} |
return 1; |
return 1; |
} |
} |
Line 879 sub end_functionplotresponse {
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Line 905 sub end_functionplotresponse {
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my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval); |
my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval); |
$ymax=(defined($ymax)?$ymax:10); |
$ymax=(defined($ymax)?$ymax:10); |
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my $percent=&Apache::lonxml::get_param('percenterror',$parstack,$safeeval); |
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$percent=(defined($percent)?$percent:5); |
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my $tolfunc=$percent*($ymax-$ymin)/100.; |
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my $toldfdx=1; |
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my $told2fdx2=1; |
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if ($xmax>$xmin) { |
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$toldfdx=$tolfunc/($xmax-$xmin); |
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$told2fdx2=$toldfdx/($xmax-$xmin); |
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} |
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my $ad=''; |
my $ad=''; |
undef %Apache::functionplotresponse::functionplotrulelabels; |
undef %Apache::functionplotresponse::functionplotrulelabels; |
$Apache::functionplotresponse::functionplotrulelabels{'start'}=400; |
$Apache::functionplotresponse::functionplotrulelabels{'start'}=400; |
Line 899 sub end_functionplotresponse {
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Line 914 sub end_functionplotresponse {
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} else { |
} else { |
# We have a function that we can actually grade, go through the spline rules. |
# We have a function that we can actually grade, go through the spline rules. |
foreach my $rule (@Apache::functionplotresponse::functionplotrules) { |
foreach my $rule (@Apache::functionplotresponse::functionplotrules) { |
unless (&functionplotrulecheck($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)) { |
unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) { |
$ad='INCORRECT'; |
$ad='INCORRECT'; |
last; |
last; |
} |
} |