version 1.26, 2010/11/07 11:15:37
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version 1.31, 2010/11/10 22:41:29
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Line 392 sub start_functionplotrule {
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Line 392 sub start_functionplotrule {
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&Apache::lonxml::get_param('value',$parstack,$safeeval) |
&Apache::lonxml::get_param('value',$parstack,$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,$token,'Function Plot Evaluation Rule'). |
&Apache::edit::end_row(); |
&Apache::edit::text_arg('Index:','index', |
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$token,'4').' '. |
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&Apache::edit::select_arg(&mt('Function:'),'derivative', |
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[['0','Function itself'], |
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['1','First derivative'], |
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['2','Second derivative']],$token).' '. |
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&Apache::edit::text_arg('(Initial) x-value:','xinitial', |
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$token,'4'). |
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&Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel', |
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[['start','Start of Plot']],$token,'8').' '. |
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&Apache::edit::text_arg('Optional final x-value for ranges:','xfinal', |
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$token,'4'). |
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&Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel', |
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[['end','End of Plot']],$token,'8').' '. |
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&Apache::edit::select_arg(&mt('Relationship:'),'relationship', |
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[['eq','equal'], |
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['ne','not equal'], |
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['ge','greater than or equal'], |
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['gt','greater than'], |
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['lt','less than'], |
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['le','less than or equal']],$token). |
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$result.= &Apache::edit::select_or_text_arg('Value:','value', |
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[['undef','not defined']],$token,'4'). |
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&Apache::edit::text_arg('Percent error:','percenterror', |
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$token,'4'). |
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&Apache::edit::end_row(); |
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} elsif ($target eq 'modified') { |
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my $constructtag=&Apache::edit::get_new_args($token,$parstack, |
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$safeeval,'index','derivative','xinitial','xinitiallabel','xfinal','xfinallabel','relationship', |
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'value','percenterror'); |
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if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } |
} |
} |
return $result; |
return $result; |
} |
} |
Line 557 sub array_index {
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Line 590 sub array_index {
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} |
} |
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# |
# |
# Actual x-value of array index |
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# |
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sub index_x { |
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my ($xmin,$xmax,$i)=@_; |
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return $i*($xmax-$xmin)/400.+$xmin; |
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} |
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# |
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# Function value |
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# |
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sub func_val { |
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my ($xmin,$xmax,$x)=@_; |
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return $Apache::functionplotresponse::func[&array_index($xmin,$xmax,$x)]; |
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} |
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# |
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# First derivative |
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# |
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sub dfuncdx_val { |
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my ($xmin,$xmax,$x)=@_; |
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return $Apache::functionplotresponse::dfuncdx[&array_index($xmin,$xmax,$x)]; |
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} |
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# |
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# Second derivative |
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# |
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sub d2funcdx2_val { |
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my ($xmin,$xmax,$x)=@_; |
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return $Apache::functionplotresponse::d2funcdx2[&array_index($xmin,$xmax,$x)]; |
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} |
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# |
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# Populate the arrays |
# Populate the arrays |
# |
# |
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Line 626 sub populate_arrays {
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Line 623 sub populate_arrays {
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if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } |
if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } |
$xiold=$xi; |
$xiold=$xi; |
# Function value |
# Function value |
$Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms); |
my $funcval=&cubic_hermite($t,@yparms); |
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$Apache::functionplotresponse::func[$xi]=$funcval; |
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if (defined($funcval)) { |
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if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { |
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$Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; |
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} |
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if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { |
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$Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; |
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} |
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} |
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# Chain rule |
# dy/dx=dy/dt/(dx/dt) |
# dy/dx=dy/dt/(dx/dt) |
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; |
} |
} |
# d^2y/dx^2 |
# Faa di Bruno |
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# d^2y/dx^2=(d^2y/dt^2)/(dx/dt)^2+(dy/dt)/(d^2x/dt^2) |
my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms); |
my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms); |
if ($d2xdt2) { |
if (($dxdt) && ($d2xdt2)) { |
$Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2; |
$Apache::functionplotresponse::d2funcdx2[$xi]= |
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&d2dt2_cubic_hermite($t,@yparms)/($dxdt*$dxdt) |
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+&ddt_cubic_hermite($t,@yparms)/$d2xdt2; |
} |
} |
} |
} |
} |
} |
Line 785 sub functionplotrulecheck {
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Line 795 sub functionplotrulecheck {
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&Apache::lonnet::logthis("Rule $rule TolFunc $tolfunc TolDfDx $toldfdx TolD2fDx2 $told2fdx2"); |
&Apache::lonnet::logthis("Rule $rule TolFunc $tolfunc TolDfDx $toldfdx TolD2fDx2 $told2fdx2"); |
my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value) |
my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value) |
=split(/\:/,$rule); |
=split(/\:/,$rule); |
# if a hard value is set for the boundaries, it overrides the label |
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if (($xinitial ne '') && ($xinitiallabel ne '')) { |
my $li=0; |
$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$xinitial; |
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; |
} |
} |
if (($xfinal ne '') && ($xfinallabel ne '')) { |
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$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$xfinal; |
# if a hard value is set for the boundaries, it overrides the label |
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if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { |
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$li=&array_index($xmin,$xmax,$xinitial); |
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$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; |
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} |
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if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { |
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$lh=&array_index($xmin,$xmax,$xfinal); |
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$Apache::functionplotresponse::functionplotrulelabels{$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})) { |
$xinitial=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; |
$li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; |
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} else { |
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$li=&array_index($xmin,$xmax,$xinitial); |
} |
} |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { |
unless ($findupper) { |
$xfinal=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}; |
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { |
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$lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}; |
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} else { |
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$lh=&array_index($xmin,$xmax,$xfinal); |
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} |
} |
} |
# Basic sanity checks |
# Basic sanity checks |
if ($xinitial eq '') { |
if ($li<0) { $li=0; } |
$xinitial=0; |
if ($lh>400) { $lh=400; } |
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if ($li>$lh) { |
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$lh=$li; |
} |
} |
if ($xfinal ne '') { |
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if ($xinitial>$xfinal) { |
&Apache::lonnet::logthis("Init $xinitial=$li Final $xfinal=$lh Findupper: $findupper"); |
$xfinal=$xinitial; |
my $tol=$tolfunc; |
} |
if ($derivative==2) { |
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$tol=$told2fdx2; |
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} elsif ($derivative==1) { |
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$tol=$toldfdx; |
} |
} |
&Apache::lonnet::logthis("Init $xinitial Final $xfinal"); |
for (my $i=$li; $i<=$lh; $i++) { |
if (($xfinal eq '') || ($xinitial==$xfinal)) { |
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# This is only one point |
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&Apache::lonnet::logthis("One point $xinitial"); |
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my $tol; |
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my $val; |
my $val; |
if ($derivative==2) { |
if ($derivative==2) { |
$val=&d2funcdx2_val($xmin,$xmax,$xinitial); |
$val=$Apache::functionplotresponse::d2funcdx2[$i]; |
$tol=$told2fdx2; |
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} elsif ($derivative==1) { |
} elsif ($derivative==1) { |
$val=&dfuncdx_val($xmin,$xmax,$xinitial); |
$val=$Apache::functionplotresponse::dfuncdx[$i]; |
$tol=$toldfdx; |
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} else { |
} else { |
$val=&func_val($xmin,$xmax,$xinitial); |
$val=$Apache::functionplotresponse::func[$i]; |
$tol=$tolfunc; |
} |
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unless (&compare_rel($relationship,$value,$val,$tol)) { |
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&Apache::lonnet::logthis("Condition false $findupper at $i with $val"); |
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if (($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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} |
} |
} |
&Apache::lonnet::logthis("Value $value ActVal $val Tol $tol"); |
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return &compare_rel($relationship,$value,$val,$tol); |
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} else { |
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# This is a range |
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} |
} |
return 0; |
return 1; |
} |
} |
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sub end_functionplotresponse { |
sub end_functionplotresponse { |
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; |
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; |
&Apache::response::end_response; |
&Apache::response::end_response; |
Line 846 sub end_functionplotresponse {
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Line 883 sub end_functionplotresponse {
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&& &Apache::response::submitted() |
&& &Apache::response::submitted() |
&& $Apache::lonhomework::type eq 'exam') { |
&& $Apache::lonhomework::type eq 'exam') { |
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#&Apache::response::scored_response($partid,$id); |
&Apache::response::scored_response($partid,$id); |
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} elsif ($target eq 'grade' |
} elsif ($target eq 'grade' |
&& &Apache::response::submitted() |
&& &Apache::response::submitted() |
Line 865 sub end_functionplotresponse {
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Line 902 sub end_functionplotresponse {
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$ymin=(defined($ymin)?$ymin:-10); |
$ymin=(defined($ymin)?$ymin:-10); |
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); |
my $tolfunc=5.*($ymax-$ymin)/100.; |
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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.; |
my $toldfdx=1; |
my $toldfdx=1; |
my $told2fdx2=1; |
my $told2fdx2=1; |
if ($xmax>$xmin) { |
if ($xmax>$xmin) { |
Line 874 sub end_functionplotresponse {
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Line 915 sub end_functionplotresponse {
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} |
} |
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my $ad=''; |
my $ad=''; |
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undef %Apache::functionplotresponse::functionplotrulelabels; |
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$Apache::functionplotresponse::functionplotrulelabels{'start'}=400; |
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$Apache::functionplotresponse::functionplotrulelabels{'end'}=0; |
if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { |
if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { |
$ad='NOT_FUNCTION'; |
$ad='NOT_FUNCTION'; |
} 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. |
undef %Apache::functionplotresponse::functionplotrulelabels; |
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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,$tolfunc,$toldfdx,$told2fdx2)) { |
$ad='INCORRECT'; |
$ad='INCORRECT'; |