--- loncom/homework/functionplotresponse.pm 2010/10/30 15:32:36 1.19 +++ loncom/homework/functionplotresponse.pm 2010/10/30 23:43:29 1.20 @@ -1,7 +1,7 @@ # LearningOnline Network with CAPA # option list style responses # -# $Id: functionplotresponse.pm,v 1.19 2010/10/30 15:32:36 www Exp $ +# $Id: functionplotresponse.pm,v 1.20 2010/10/30 23:43:29 www Exp $ # # Copyright Michigan State University Board of Trustees # @@ -503,8 +503,59 @@ sub d2dt2_cubic_hermite { # sub array_index { my ($xmin,$xmax,$x)=@_; - my $index=int(($x-$xmin)/($xmax-$xmin)*200.+0.5); - return $index; + return int(($x-$xmin)/($xmax-$xmin)*200.+0.5); +} + +# +# Actual x-value of array index +# + +sub index_x { + my ($xmin,$xmax,$i)=@_; + return $i*($xmax-$xmin)/200.+$xmin; +} + +# +# Assume function to be linear between array points +# Return the two indices and the scale factor +# + +sub indices_scale { + my ($xmin,$xmax,$x)=@_; + my $i=&array_index($xmin,$xmax,$x); + my $xr=&index_x($xmin,$xmax,$i); + &Apache::lonnet::logthis("x:$x i:$i xr:$xr"); + if ($xr<$x) { +# Desired x is right of array index + if ($i>=200) { return (200,200,0); } + return($i,$i+1,200.*($x-$xr)/($xmax-$xmin)); + } elsif ($xr>$x) { +# Desired x is left of array index + if ($i<=0) { return (0,0,0); } + return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin)); + } else { +# Desired x is at array index (unlikely, but ...) + if ($i>=200) { return (200,200,0); } + if ($i<=0) { return (0,0,0); } + return ($i,$i,0); + } +} + +# +# Function value +# + +sub func_val { + my ($xmin,$xmax,$x)=@_; + my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x); + my $fl=$Apache::functionplotresponse::func[$il]; + my $fh=$Apache::functionplotresponse::func[$ih]; + unless (defined($fl) || defined($fh)) { return undef; } + unless (defined($fl)) { return $fh; } + unless (defined($fh)) { return $fl; } + my $func=$fl+$factor*($fh-$fl); + &Apache::lonnet::logthis("x:$x func:$func factor:$factor il:$il ih:$ih fil:$fl fih:$fh"); + return $func; } # @@ -671,6 +722,26 @@ sub end_functionplotresponse { } else { $ad='INCORRECT'; } + &func_val($xmin,$xmax,3.96); + + &func_val($xmin,$xmax,3.965); + + &func_val($xmin,$xmax,3.97); + &func_val($xmin,$xmax,3.975); + &func_val($xmin,$xmax,3.98); + + &func_val($xmin,$xmax,3.985); + &func_val($xmin,$xmax,3.99); + &func_val($xmin,$xmax,3.995); + + &func_val($xmin,$xmax,4); + &func_val($xmin,$xmax,4.05); + &func_val($xmin,$xmax,4.1); + + &func_val($xmin,$xmax,4.15); + &func_val($xmin,$xmax,4.2); + &func_val($xmin,$xmax,4.25); + # # Store grading info #