--- loncom/homework/functionplotresponse.pm 2010/10/09 20:02:02 1.11 +++ loncom/homework/functionplotresponse.pm 2015/04/05 17:09:12 1.110 @@ -1,7 +1,7 @@ # LearningOnline Network with CAPA -# option list style responses +# Functionplot responses # -# $Id: functionplotresponse.pm,v 1.11 2010/10/09 20:02:02 www Exp $ +# $Id: functionplotresponse.pm,v 1.110 2015/04/05 17:09:12 raeburn Exp $ # # Copyright Michigan State University Board of Trustees # @@ -31,50 +31,160 @@ use strict; use Apache::response(); use Apache::lonlocal; use Apache::lonnet; - +use Apache::run; +use LONCAPA; + BEGIN { - &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline')); + &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline', + 'plotobject','plotvector', + 'functionplotvectorrule','functionplotvectorsumrule', + 'drawvectorsum', + 'functionplotcustomrule', + 'functionplotrule','functionplotruleset', + 'functionplotelements')); +} + +# +# Use old Java or HTML5/Javascript for GeoGebra? Depends on browser! +# Return a true value if HTML5 should be used. + +sub useHTML5 { + if ($env{'browser.type'} eq 'chrome') { + if ($env{'browser.version'} >= 14) { + return 1; + } + } elsif ($env{'browser.type'} eq 'safari') { + if ($env{'browser.os'} eq 'mac') { + my ($prefix,$version) = ($env{'browser.version'} =~ /^(\d*)(\d{3})\./); + if ($version >= 536) { + return 1; + } + } + } elsif ($env{'browser.type'} eq 'mozilla') { + if ($env{'browser.info'} =~ /^firefox\-(\d+)/) { + my $firefox = $1; + if ((($env{'browser.os'} eq 'mac') && ($firefox >= 20)) || + (($env{'browser.os'} eq 'unix') && ($firefox >= 17)) || + (($env{'browser.os'} eq 'win') && ($firefox >= 14))) { + return 1; + } + } + } elsif ($env{'browser.type'} eq 'explorer') { + if (($env{'browser.os'} eq 'win') && ($env{'browser.version'} >= 10)) { + return 1; + } + } elsif ($env{'browser.type'} eq 'opera') { + if ($env{'browser.version'} >= 18) { + return 1; + } + } + return 0; +} + +# +# HTML5 version does not understand "_" in IDs +# +sub appid { + my ($id)=@_; + $id=~s/\_/rid/gs; + $id=~s/\W//gs; + return $id; } # +# Routines to start the applet (Java) or the HTML5/JavaScript +# # There can be a number of applets on a page, each called ggbApplet_$id, # where $id is the "_"-concatenated part and responseid # sub geogebra_startcode { + my ($id,$width,$height)=@_; + if (&useHTML5()) { + return &html5_geogebra_startcode(@_); + } else { + return &java_geogebra_startcode(@_). + &java_geogebra_code_param(); + } +} + +sub geogebra_endcode { + if (&useHTML5()) { + return ''; + } else { + return &java_geogebra_endcode(); + } +} + +sub geogebra_default_parameters { my ($id)=@_; + if (&useHTML5()) { + return ''; + } else { + return &java_geogebra_default_parameters($id); + } +} +# === Java code + +sub java_geogebra_startcode { + my ($id,$width,$height)=@_; + my $appid=&appid($id); + $width=int(1.*$width); + $height=int(1.*$height); + unless ($width) { $width=700; } + unless ($height) { $height=400; } return (< + ENDSTARTCODE } -sub geogebra_endcode { +sub java_geogebra_endcode { return &Apache::lonhtmlcommon::java_not_enabled()."\n"; } +sub java_geogebra_code_param { + return ''; +} + +# === HTML5 code + +sub html5_geogebra_startcode { + my ($id,$width,$height)=@_; + my $appid=&appid($id); + $width=int(1.*$width); + $height=int(1.*$height); + unless ($width) { $width=700; } + unless ($height) { $height=400; } + my $code=&geogebra_internal_program(); + return (< +ENDSTARTCODE +} + # # This is the internal GeoGebra bytecode which defines the spline functions # -sub geogebra_spline_program { - return (< -ENDSPLINEPROGRAM +sub geogebra_internal_program { + return +'UEsDBBQACAAIAKNNfz4AAAAAAAAAAAAAAAASAAAAZ2VvZ2VicmFfbWFjcm8ueG1s7Vxtb+pGGv3c/grLH6pk21wSIITeDbcqfq3U217pVquVVrsrBxzCLtjIOAnTX78zYxtCxsDYi/EA50MyjjOM7XPs55iZ8zz3Py2mE+3Fj+bjMOjpNx+udc0PBuFwHIx6+nP8eNXVf/r07f3ID0f+Q+Rpj2E09eKe3mY9F/PxxyD8zZv685k38L8Onvyp92s48GI+2lMczz42Gq+vrx+yz38Io1FjNIo/LOZD+vnpJJj39HTjIx1u7UOvLd69eX190/j751+T4a/GwTz2goGva/S8pt4gCrXBdMhOoqd/nU3Ggd/UtTgMJzm7XH8yW+76x5ebH7Sv9OdLk7bNf+raeBAG9njis1OaP4WvvwR/0A/1vainx9Gzr2cH/CWYPcead93Tf9Y174Y2Hm2bPb1PmxZtPL2R9f39OV52fkl799PeL7wbPeicDj9goGnxOE6O7z3HT2HEtoZezPbQnv7En/pBrMVkRvfMwnEQ69rEe/An7Ew+ffvNPTtrLXz4jz+I03PO/v/oTeY+O9439/T/RjgJI40OT1kc8d8P/Lc3mT15dIuyy7tOPOJH2os3Yf9N99DhPodDf22vF4ynnHVtHvszNsANhXDm+0N6U+npCdPxZ3RAfmu9OZ1BGEbDubZIDquR9Ob6M7kdeRd+qV/Hf6YHbb3dG5PJ23O5b6Qo7cCrfwJ4NQ+IF73F/2/Amre3qkDWOcQtdhqQtfcN2WIW+XMmOBkO3sO/F1R3FrNk82JxqfW0i6b2F23xr4vWpXaltZLt5qX2vXZzyf64+Jlts/0XWafmm06LtJNH9/OeF1er8b5fjZd06wtjvf0nG6N/qWsNge/H54CHbX3tSgTSE1izPvwWqCqwMGVLwI+fxoP/BhRoehO94ZptuOPh0GdyL0UNWVFDZKghMtQQOWrINmpIUWrIEVMzCKdTLxhqAX+rMZ6jF9/wotifj72AX9Z4+VLCn6H4MnnZ4KzxP+gbR5y8n7CLaKfHoJf65g2lnxw2PZgA6oAddrA87FIbSoopD26VQdspB+3ncRSF0TtI+Qsee3UTIfO+82bh/K/bgXuvpelndtyOVevDKsZfZbrY3FOQl8C0n2LaFzDtl8C0rxym15VC+jd6bTm3aQpC9q1EuFtftmP6koy6vFFfan6DEd9Csnfd1VCFw2o6bPKhOftNI9syqPEO9CtmFH9hjCTat/6UF+Kkv8ZJX+SkX4yTPjhJOOlv4KTx9gs1+5t/D980WdASJwta4mRB691kAW1btG3td9KAq7JBm1vaSM8hJJ820k9jTgFzCphTwJyC2pBhTgFzCphTqJsazClUNqewLYYbJ/Ca8P7Vv0rNM05D8zqVa97DYKl5bFNO88RgmKN5aVDcpXnGNs0z2BiGXGDlV3K8gTWXGrKiRlLzJKghctSQbdSQotSciebxZyjTPM6arObRb+NlNK9fUhkU0TzMo2Me/ejm0XMhNVJIDQFSowSkhnKQVnuXYmkCSxPnzcmmpQkJTow1TgyRE6MYJwY4STgx9rJc1BaXi9riclF7w3IRbdu0bVe6bKR5nZ5u0uaONqVXkZLRzHQ0rCrlv5NgVQmrSlhVUgUyrCphVQmrSnVTg1WlymbYsKqEVaV3kGFVCatKWFWqmxqsKtWieeYJaF7ngJpnnobmdSvXvMFwqXlsU07zxGCYo3lpUNyleeY2zTPZGKZcYOVXcryBNZcasqJGUvMkqCFy1JBt1JCi1JyJ5vFnKNM8zpqs5hlmKc0zSiqDIpoHJwWcFHBSwEmRC6mZQmoKkJolIDWVg7RdKaQwp8Ccct6cwJyiHiebzCkSnJhrnJgiJ2YxTkxwknBi7sUwdCsahm5Fw9DtDsMQbW9pe3tI45DmdXu6RZsfabM3H1EyupWODl9R/hs6fEXwFcFXpApk8BXBVwRfUd3UwFdUFFr4iuArKgsZfEXwFcFXVDc18BXVonnwFRXTPPiK4Cs6rsAKX5Gy1MBXVIvmWSeged0Dap51Gpp3c1256A39peixTTnRE6NhjuilUXGX6FnbRM9iY1hykZVfyfFG1lxqyIoaSdGToIbIUUO2UUOKUnMmosefoUz0OGuyomdapUTPLCkNiogezLQw01aAKcy0MNOeu5k2F1IrhdQSILVKQGopB2mnUkjhT4Y/+bw5gT9ZPU7gT1aPk03+ZAlOrDVOLJETqxgnFjhJOLH24hnviJ7xjugZ70h6xmnboW2nRu84HYOOZbOWDmZXZiZPjmdnx4O7PP8rK9zlcJfDXa4KZHCXw10Od3nd1MBdXhRauMvhLi8LGdzlcJfDXV43NXCX16J5cJcX0zy4y+EuP67ACne5stTAXV6L5sFdXkzz4C6Hu/zIIivc5cpSA3d5LaJnn4Do3Rxy0dg+EdXb+yqoEFr9x6XqsU051RPDYY7qpWFxl+rZ21TPZmPYcqGVX8nxhtZcasiKGknVk6CGyFFDtlFDilJzJqrHn6FM9Thrsqpn2aVUzyqpDYqoHnKqkFNVAabIqUJOFXKqkFN1CEjtFFJbgNQuAamtHKTdSiFFmlrpV1SkqZ0EJ0hTU48TpKmpxwnS1NTjZFOamgQn9hontsiJXYwTG5wknNh7SR28E1MH78TUwbuCqYO0vaPtnUophHSDjuawlg7nHC6nMD0DJzsDZBnmT+IgyxBZhsgyVAUyZBkiyxBZhnVTgyzDotAiyxBZhmUhQ5YhsgyRZVg3NcgyrEXzkGVYTPOQZYgsw+MKrMgyVJYaZBnWonnIMiymecgyRJbhkUVWZBkqSw2yDGsRPWQZFlQ9ZBkiy/DIQiuyDJWlBlmGtaiecwqqd0jrj3Miqle9keVxtFQ9timnemI4zFG9NCzuUj1nm+o5bAxHLrTyKzne0JpLDVlRI6l6EtQQOWrINmpIUWrORPX4M5SpHmdNVvVsp5Tq2SW1QRHVQ249cusrwBS59citR249cuuRW696bn0upE4KqSNA6pSA1FEO0ptq9Qn1Ckq/9qNewUlwgnoF6nGCegXqcYJ6BepxgnoF6nGyqV6BBCfOGieOyIlTjBMHnCScOBs4KVZDoivWkOiKNSS6JWtI0LZL267StSToBh3PZS0d0K2zuER6Tm52Tig3kT+viXITKDeBchOqQIZyEyg3gXITdVODchNFoUW5CZSbKAsZyk2g3ATKTdRNDcpN1KJ5KDdRTPNQbkJS81BuQpHAinITylKDchO1aB7KTRTTPJSbkBU9lJtQJLKi3ISy1KDcRC2ih3ITBVUP5SZkVQ/lJhQJrSg3oSw1KDdRi+qh3ERB1UO5CVnVQ7kJRUIryk0oSw3KTdSieu4pqN4hnSzuiahe9VaW0dNS9dimnOqJ4TBH9dKwuEv13G2q57IxXLnQyq/keENrLjVkRY2k6klQQ+SoIduoIUWpORPV489QpnqcNVnVc9xSqueU1AZFVA9FllBkqQJMUWQJRZZQZAlFllBkCUWWzq/IUi6mboqpK2DqlsDUVQ/TagUKhatKf5VC4aqT4ASFq9TjBIWr1OMEhavU4wSFq9TjBIWr1ONkU+EqCU7cNU5ckRO3GCcuOEk4cTdwsrGYWGPkhyP/IfI+/Q9QSwcIG2/gjX8KAABXRAEAUEsDBBQACAAIAKRNfz4AAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc0srzUsuyczPU0hPT/LP88zLLNHQVKiu5QIAUEsHCEXM3l0aAAAAGAAAAFBLAwQUAAgACACkTX8+AAAAAAAAAAAAAAAADAAAAGdlb2dlYnJhLnhtbO0YXW/bNvA5/RUHPae2+CXJgZ2iLYZ1Q1YMdVcMe5MlRiYii5pE2XHRH78jKdly03YaNuxlA+Icj7wv3h3vSC1fPO5K2MumVbpaBWQWBiCrTOeqKlZBZ+6fJ8GL22fLQupCbpoU7nWzS80q4JbysVU3lX6b7mRbp5lcZ1u5S+90lhonbWtMfTOfHw6H2cA/000xL4rN7LHNkX9XVu0q6Ac3KO6C6cAcOQ1DMv/1pzsv/rmqWpNWmQzA2tWp22dXy4Oqcn2Ag8rNdhUklAawlarYoqEiEQHMb6+WNW6ylplRe9ki5wgFla8Cs6sDK6pOK7t+5UdQnnYTQK72KpfNKghnnC44D1my6GEcgG6UrExPTKxOlDYfxC33Sh68XDtyKnkARutyk6LIKApgr1q1KeUquE/LFvenqvsGfXvCW3MspaPuJ87GkWvU2KqPSIzuCsA7BC29Dq956H7eopF6MtJomu4vKhzUJWE0TR39Wxtkgz4m2KU++hV9yci7BFMIPgEC6gED+OQGwuO8RyOPxj2a2H+Lbxju/TbFT0SMwiLCa/fnfk8D861c+Oc0LudDTi57R0G7tbR9Mhi5w8MZAluAWDiHgEA3CiALiNBDQIEI4IgncA0xMDvHgUECC5wgDDhHKOwq9x6NQBCIOETe7cA4CAaEIAXlADQESu2YAGVIIQQIZImtNGoFsAh4hBhLgKNVIdIw5MEh6qXACDDLR4XliCFKgEYQWZEEldrgCgpRCBGx0ngInAB3GmOgCTDLF/WxtynjAPWAecA9EB5EHsTQu1RVdWcu3Jjt8mFodH2KF1JjcTjXIF8sLkrU1bJMN7LESry20QbYp6U9CI7VFb6l7LJS5SqtPmAkLYeNPJzqoD2aQx3klATOxEzrJl8fWwwvPP4mG40yF3QWsZiEjBHOxQJP2NGv4OHCFRJhjWMxE7HAmtVmqU1MnszoQsQhETxMOLIj01eXnGa5X0tjcD8tpI+yHdxSNCofj39oX+kyP3mq1qoyr9PadI1rSmhcY7f0sipK6Tzjch6bQ/aw0Y9rn/vMy3p/rBELvf5N8VqXugE8NVRgVyh6uPHQ0VjDTlShowkdRS/DCj2tkwV1FA5uPHRUGDRvWr9RMuyShIMa1bqzjsLH2eIibntNVylzNyBGZQ/nnVr6t91ug8kysFlxrxvd2vNqG3OtW2Wz6CXOD4681Ev+Tb3L+WeJ+jRxbSnywsENbe55ky9SmtAkPOd0HIdfzWlKhLWoz2PmsT4/hTP2OMb+PEH7dPw/Q/8bGdrWjUzzdiul+WJxHaVh77ERB/q/21WD+3qOWHyLjkykoxPp2EQ6PpFOTKSLJtLFE+mSiXSLqX6eHJCpESFTQ0KmxoRMDQqZGhUyNSxkalzI1MCQqZGhUyNDJ5+VqZGhUyNDp0aGfiEysrR3O10BbNdZo8vSVYf9aJw5AW7YuPdNX6zTo8Zrpatv349uSxZ/49lf2bfAefbDF2dfodBWNj/jm7Q8P7pwwRv+BvchLxjeoXw3Cad6Wpb6sMZLqkrL73Jl9PkJ4pbe40vivapPtRXk7x0O3iFQjcwvSv3Ic71lALm8T7vS9OpcZX5SiZcPssEd+MZfYb/udNf62/FIeo427hD1C33bS21L/gU7iJ/NZdHIofGU7guFb4pu9eJy8dn0cj4YsWyzRtX21oA9qiq6tMBmVHVliQ0XX2UPF5u2Bre4NZ8HRhnbuda17cbwFp9//ZcYdGZntta3P9qPK3CX4oI5BpCnBhkCq38syb0I+k8st38AUEsHCA04kj02BQAA1BEAAFBLAQIUABQACAAIAKNNfz4bb+CNfwoAAFdEAQASAAAAAAAAAAAAAAAAAAAAAABnZW9nZWJyYV9tYWNyby54bWxQSwECFAAUAAgACACkTX8+RczeXRoAAAAYAAAAFgAAAAAAAAAAAAAAAAC/CgAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc1BLAQIUABQACAAIAKRNfz4NOJI9NgUAANQRAAAMAAAAAAAAAAAAAAAAAB0LAABnZW9nZWJyYS54bWxQSwUGAAAAAAMAAwC+AAAAjRAAAAAA'; } # # The standard set of parameters inside # -sub geogebra_default_parameters { +sub java_geogebra_default_parameters { my ($id)=@_; + my $appid=&appid($id); return(< - - - + + @@ -89,7 +199,7 @@ sub geogebra_default_parameters { - + ENDDEFAULTPARAMETERS } @@ -101,12 +211,31 @@ ENDDEFAULTPARAMETERS # sub init_script { - if ($Apache::functionplotresponse::callscripts) { + if ($#Apache::functionplotresponse::callscripts>=0) { + my $script=''; + foreach my $id (@Apache::functionplotresponse::callscripts) { + $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n"; + } + $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). + ") { setTimeout('ggbInitAll()',200) }"; + my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); + my $html5init=''; + if (&useHTML5()) { + $html5init= + ''; + } return (< // @@ -120,12 +249,13 @@ ENDGGBINIT # sub update_script { my ($id)=@_; + my $appid=&appid($id); return (< // // 0)) { + $return.=(<0)) { + $return.=(<8) { $order=8; } + $Apache::functionplotresponse::counter++; + my $label='CSpline'.$Apache::functionplotresponse::counter; + my $output='document.ggbApplet'.$appid.'.evalCommand("'.$label.'=Spline'.$order.'['; + for (my $i=0;$i<=$#points;$i+=4) { + $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),"; + } + $output=~s/\,$//; + $output.=']");'."\n"; + for (my $i=2; $i<2*$order; $i+=2) { + $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n"; } + for (my $i=1; $i<2*$order; $i+=2) { + $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n"; + } + + return $output; } # @@ -244,7 +583,8 @@ ENDPLOTSCRIPT # sub generate_spline { - my ($id,$label)=@_; + my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; + my $appid=&appid($id); my $result=''; my $order=$Apache::functionplotresponse::splineorder{$label}; my $x=$Apache::functionplotresponse::splineinitx{$label}; @@ -253,16 +593,216 @@ sub generate_spline { my $sy=$Apache::functionplotresponse::splinescaley{$label}; my @coords=(); foreach my $i (1..$order) { - $result.=&new_coordinate($id,$label.'P'.$i,$x,$y); + $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); + my $xp=$x; $x+=$sx/(2.*($order-1)); push(@coords,$label.'P'.$i); - $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy); + $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); $x+=$sx/(2.*($order-1)); push(@coords,$label.'S'.$i); } - $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; + $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; + return $result; +} + +# +# Object +# + +sub start_plotobject { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; + my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval); + my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval); + my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + $label=~s/\W//gs; + $label=ucfirst($label); + unless ($label) { $label="NewObject"; } + if ($target eq 'web') { + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); + unless (defined($x)) { $x=$xmin; } + unless (defined($y)) { $y=$ymin; } + $result.=&plotobject_script($internalid,$label,$x,$y); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Plot Object'). + &Apache::edit::text_arg('Label on Plot:','label', + $token,'16'). + &Apache::edit::text_arg('x:','x', + $token,'8'). + &Apache::edit::text_arg('y:','y', + $token,'8'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); + my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_plotobject { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; +} + +# +# Vector +# + +sub start_plotvector { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; + my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); + my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); + my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval); + my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval); + + my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + $label=~s/\W//gs; + $label=ucfirst($label); + unless ($label) { $label="NewVector"; } + if ($Apache::functionplotresponse::vectorlabels{$label}) { + &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label)); + } + $Apache::functionplotresponse::vectorlabels{$label}=1; + if ($target eq 'web') { + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); + unless (defined($tailx)) { $tailx=$xmin; } + unless (defined($taily)) { $taily=$ymin; } + unless (defined($tipx)) { $tipx=$xmin; } + unless (defined($tipy)) { $tipy=$ymin; } + my $fixed=0; + if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; } + $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Plot Vector'). + &Apache::edit::text_arg('Label on Plot:','label', + $token,'16'). + &Apache::edit::text_arg('Tail x:','tailx', + $token,'8'). + &Apache::edit::text_arg('Tail y:','taily', + $token,'8'). + &Apache::edit::text_arg('Tip x:','tipx', + $token,'8'). + &Apache::edit::text_arg('Tip y:','tipy', + $token,'8'). + + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); + my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_plotvector { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } return $result; } + + +# +# Vector sum - have GeoGebra draw a sum of specified vectors to help students draw +# + +sub start_drawvectorsum { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; + my $internalappid=&appid($internalid); + my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); + my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); + my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval); + my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval); + my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + $label=~s/\W//gs; + $label=ucfirst($label); + unless ($label) { $label="NewVector"; } + if ($target eq 'web') { + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); + unless (defined($tailx)) { $tailx=$xmin; } + unless (defined($taily)) { $taily=$ymin; } + unless (defined($vectorlist)) { $vectorlist=''; } + my @vectors=split(/\,/,$vectorlist); + if ($#vectors>0) { + my @sumx=(); + my @sumy=(); + foreach my $thisvector (@vectors) { + $thisvector=~s/\W//gs; + $thisvector=ucfirst($thisvector); + unless ($thisvector) { next; } + unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) { + &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector)); + next; + } + my $vectorx=$thisvector.'X'; + my $vectory=$thisvector.'Y'; + $result.=(<'. + &Apache::edit::text_arg('Vector List:','vectorlist', + $token,'40'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); + my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + + +sub end_drawvectorsum { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; +} + + + # # # @@ -271,56 +811,460 @@ sub start_backgroundplot { my $result=''; my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); + my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); + my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); + my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); + $color=~s/[^a-fA-F0-9]//gs; + unless (length($color)==6) { $color=''; } my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); unless ($function) { $function="0"; } if ($target eq 'web') { - $result.=&plot_script($internalid,$function,$fixed); + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); + unless (defined($xinitial)) { $xinitial=$xmin; } + unless (defined($xfinal)) { $xfinal=$xmax; } + $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). + &Apache::edit::text_arg('Function:','function', + $token,'16'). + &Apache::edit::text_arg('Initial x-value (optional):','xinitial', + $token,'8'). + &Apache::edit::text_arg('Final x-value (optional):','xfinal', + $token,'8'). + &Apache::edit::text_arg('Label on Plot:','label', + $token,'8'). + &Apache::edit::text_arg('Color (hex code):','color', + $token,'8', 'colorchooser'). + &Apache::edit::select_arg('Fixed location:','fixed', + ['yes','no'],$token). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'function','label','xinitial','xfinal','color','fixed'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_backgroundplot { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); } return $result; } -sub end_backgroundplot { - return ''; +# +# +# +sub start_functionplotrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); + $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); + } + $label=~s/\W//gs; + unless ($label) { + $label='R'.$Apache::functionplotresponse::counter; + } else { + $label='R'.$label; + } + + if ($target eq 'grade') { +# Simply remember - in order - for later + my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); + my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); + if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { + &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); + } + $beginninglabel=~s/\W//gs; + $endinglabel=~s/\W//gs; + my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); + $relationship=~s/\W//gs; + $relationship=lc($relationship); + unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { + &Apache::lonxml::warning(&mt('Rule relationship not defined.')); + $relationship='eq'; + } + my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); + unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { + &Apache::lonxml::warning(&mt('Rule derivative not defined.')); + $derivative=0; + } + push(@Apache::functionplotresponse::functionplotrules,join(':',( + $label, + $derivative, + &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), + $beginninglabel, + &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), + $endinglabel, + &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), + &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), + $relationship, + &Apache::lonxml::get_param('value',$parstack,$safeeval), + &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) + ))); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule'). + &Apache::edit::text_arg('Index/Name:','index', + $token,'10').' '. + &Apache::edit::select_arg('Function:','derivativeorder', + [['0','Function itself'], + ['1','First derivative'], + ['2','Second derivative'], + ['-1','Integral']],$token).'
'. + &Apache::edit::text_arg('Initial x-value:','xinitial', + $token,'8'). + &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', + [['start','Start of Plot'], + ['end','End of Plot']],$token,'8').'
'. + + &Apache::edit::text_arg('Final x-value (optional):','xfinal', + $token,'8'). + &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', + [['end','End of Plot']],$token,'8').'
'. + &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', + $token,'8'). + &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', + $token,'8').'
'. + &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', + [['eq','equal'], + ['ne','not equal'], + ['ge','greater than or equal'], + ['gt','greater than'], + ['lt','less than'], + ['le','less than or equal']],$token). + $result.= &Apache::edit::select_or_text_arg('Value:','value', + [['undef','not defined']],$token,'30'). + &Apache::edit::text_arg('Percent error:','percenterror', + $token,'8'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { + $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; + } + if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { + $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; + } + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'index','derivativeorder', + 'xinitial','xinitiallabel','xfinal','xfinallabel', + 'minimumlength','maximumlength', + 'relationship','value','percenterror'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_functionplotrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; } + # -# +# # -# Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them +sub start_functionplotvectorrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); + $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); + } + $label=~s/\W//gs; + unless ($label) { + $label='R'.$Apache::functionplotresponse::counter; + } else { + $label='R'.$label; + } + + if ($target eq 'grade') { +# Simply remember - in order - for later + + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + + my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval); + $vector=~s/\W//gs; + $vector=ucfirst($vector); + + push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( + $label, + 'vector', + $internalid, + $vector, + &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval), + &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval), + &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval), + &Apache::lonxml::get_param('tippoint',$parstack,$safeeval), + &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval), + &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval), + &Apache::lonxml::get_param('length',$parstack,$safeeval), + &Apache::lonxml::get_param('angle',$parstack,$safeeval), + &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), + &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), + ))); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule'). + &Apache::edit::text_arg('Index/Name:','index', + $token,'10').' '. + &Apache::edit::text_arg('Vector:','vector', + $token,'16').'
'. + &Apache::edit::text_arg('Attached to object:','attachpoint', + $token,'16'). + &Apache::edit::text_arg('Not attached to object:','notattachpoint', + $token,'16').'
'. + &Apache::edit::text_arg('Tail attached to object:','tailpoint', + $token,'16'). + &Apache::edit::text_arg('Tip attached to object:','tippoint', + $token,'16'). + &Apache::edit::text_arg('Tail not attached to object:','nottailpoint', + $token,'16'). + &Apache::edit::text_arg('Tip not attached to object:','nottippoint', + $token,'16').'
'. + &Apache::edit::text_arg('Length:','length', + $token,'30'). + &Apache::edit::text_arg('Absolute error length:','lengtherror', + $token,'8').'
'. + &Apache::edit::text_arg('Angle:','angle', + $token,'30'). + &Apache::edit::text_arg('Absolute error angle:','angleerror', + $token,'8'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')}); + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'index','vector','attachpoint','notattachpoint', + 'tailpoint','tippoint','nottailpoint','nottipoint', + 'length','angle', + 'lengtherror','angleerror'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_functionplotvectorrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; +} + # -sub start_spline { +# +# +sub start_functionplotvectorsumrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; - my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + my $result=''; + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); + $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); + } + $label=~s/\W//gs; + unless ($label) { + $label='R'.$Apache::functionplotresponse::counter; + } else { + $label='R'.$label; + } + if ($target eq 'grade') { +# Simply remember - in order - for later + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval); + push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( + $label, + 'sum', + $internalid, + $vectors, + &Apache::lonxml::get_param('length',$parstack,$safeeval), + &Apache::lonxml::get_param('angle',$parstack,$safeeval), + &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), + &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), + ))); + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule'). + &Apache::edit::text_arg('Index/Name:','index', + $token,'10').' '. + &Apache::edit::text_arg('Comma-separated list of vectors:','vectors', + $token,'30').'
'. + &Apache::edit::text_arg('Sum vector length:','length', + $token,'30'). + &Apache::edit::text_arg('Absolute error length:','lengtherror', + $token,'8').'
'. + &Apache::edit::text_arg('Sum vector angle:','angle', + $token,'30'). + &Apache::edit::text_arg('Absolute error angle:','angleerror', + $token,'8'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'index','vectors', + 'length','angle', + 'lengtherror','angleerror'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} + +sub end_functionplotvectorsumrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; +} + +# +# +# +sub start_functionplotcustomrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); + } $label=~s/\W//gs; - unless ($label) { $label='S'.$Apache::functionplotresponse::counter; } + unless ($label) { + $label='R'.$Apache::functionplotresponse::counter; + } else { + $label='R'.$label; + } + &Apache::lonxml::register('Apache::response',('answer')); + if ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule'). + &Apache::edit::text_arg('Index/Name:','index',$token,'10'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; +} - my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); - if ($order<2) { $order=2; } - if ($order>8) { $order=8; } - $Apache::functionplotresponse::splineorder{$label}=$order; +sub end_functionplotcustomrule { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } elsif ($target eq 'grade') { +# Simply remember - in order - for later + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); + $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); + } + $label=~s/\W//gs; + unless ($label) { + $label='R'.$Apache::functionplotresponse::counter; + } else { + $label='R'.$label; + } + push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( + $label, + 'custom', + &escape($Apache::response::custom_answer[-1]) + ))); + } + &Apache::lonxml::deregister('Apache::response',('answer')); + return $result; +} + + + +# +# +# +# Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them +# +sub start_spline { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'web') { + my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); + $Apache::functionplotresponse::counter++; + if ($label=~/\W/) { + &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); + } + $label=~s/\W//gs; + unless ($label) { + $label='S'.$Apache::functionplotresponse::counter; + } else { + $label='S'.$label; + } + if ($Apache::functionplotresponse::splineorder{$label}) { + &Apache::lonxml::error(&mt('Spline indices must be unique.')); + } - my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); - unless ($x) { $x=0; } - $Apache::functionplotresponse::splineinitx{$label}=$x; - - my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); - unless ($y) { $y=0; } - $Apache::functionplotresponse::splineinity{$label}=$y; - - my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); - unless ($sx) { $sx=$order; } - $Apache::functionplotresponse::splinescalex{$label}=$sx; - - my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); - unless ($sy) { $sy=2; } - $Apache::functionplotresponse::splinescaley{$label}=$sy; - return ''; + my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); + if ($order<2) { $order=2; } + if ($order>8) { $order=8; } + $Apache::functionplotresponse::splineorder{$label}=$order; + + my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); + unless ($x) { $x=0; } + $Apache::functionplotresponse::splineinitx{$label}=$x; + + my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); + unless ($y) { $y=0; } + $Apache::functionplotresponse::splineinity{$label}=$y; + + my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); + unless ($sx) { $sx=$order; } + $Apache::functionplotresponse::splinescalex{$label}=$sx; + + my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); + unless ($sy) { $sy=2; } + $Apache::functionplotresponse::splinescaley{$label}=$sy; + } elsif ($target eq 'edit') { + $result=&Apache::edit::tag_start($target,$token,'Spline'). + &Apache::edit::text_arg('Index:','index', + $token,'4').' '. + &Apache::edit::select_arg('Order:','order', + ['2','3','4','5','6','7','8'],$token).' '. + &Apache::edit::text_arg('Initial x-value:','initx', + $token,'4').' '. + &Apache::edit::text_arg('Initial y-value:','inity', + $token,'4').' '. + &Apache::edit::text_arg('Scale x:','scalex', + $token,'4').' '. + &Apache::edit::text_arg('Scale y:','scaley', + $token,'4'). + &Apache::edit::end_row(); + } elsif ($target eq 'modified') { + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'index','order','initx','inity', + 'scalex','scaley'); + if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } + } + return $result; } sub end_spline { - return ''; + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + if ($target eq 'edit') { + $result=&Apache::edit::end_table(); + } + return $result; } sub end_init_script { @@ -356,6 +1300,122 @@ sub get_answer_from_form_fields { return ($answer,%coords); } +# +# The following functions calculate the cubic-hermite splines server-side +# + +sub cubic_hermite { + my ($t,$p1,$s1,$p2,$s2)=@_; + return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ + (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); +} + +# +# d/dt(...) +# + +sub ddt_cubic_hermite { + my ($t,$p1,$s1,$p2,$s2)=@_; + return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ + (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); +} + +# +# d^2/dt^2(...) +# + +sub d2dt2_cubic_hermite { + my ($t,$p1,$s1,$p2,$s2)=@_; + return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ + (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); +} + +# +# Array index calculation +# +sub array_index { + my ($xmin,$xmax,$x)=@_; + if ($x ne '') { + return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); + } else { + return undef; + } +} + +# +# Populate the arrays +# + +sub populate_arrays { + my ($id,$xmin,$xmax,$ymin,$ymax)=@_; + for (my $i=0; $i<=400; $i++) { + $Apache::functionplotresponse::actualxval[$i]=undef; + $Apache::functionplotresponse::func[$i]=undef; + $Apache::functionplotresponse::dfuncdx[$i]=undef; + $Apache::functionplotresponse::d2funcd2x[$i]=undef; + } + unless ($xmax>$xmin) { return 'no_func'; } +# Run over all splines in response + foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { + my $xiold=-1; +# Run over all points in spline + for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { + my $ni=$i+1; + my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); + my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, + $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, + $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, + $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); +# Run in small steps over spline parameter + for (my $t=0; $t<=1; $t+=0.0001) { + my $xreal=&cubic_hermite($t,@xparms); + my $xi=&array_index($xmin,$xmax,$xreal); + if ($xi<$xiold) { return 'no_func'; } + if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { + $xiold=$xi; + $Apache::functionplotresponse::actualxval[$xi]=$xreal; +# Function value + my $funcval=&cubic_hermite($t,@yparms); + +# Do we already have a value for this point, and is it different from the new one? + if ((defined($Apache::functionplotresponse::func[$xi])) && + (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { + return 'no_func'; + } +# Okay, remember the new point + $Apache::functionplotresponse::func[$xi]=$funcval; + + if (defined($funcval)) { + if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { + $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; + } + if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { + $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; + } + } +# Chain rule +# dy/dx=dy/dt/(dx/dt) + my $dxdt=&ddt_cubic_hermite($t,@xparms); + if ($dxdt) { + $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; +# Second derivative + $Apache::functionplotresponse::d2funcdx2[$xi]= + ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ + ($dxdt*$dxdt*$dxdt); + } + } + } + } + } +} + +# +# Implementation of +# + sub start_functionplotresponse { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; @@ -369,6 +1429,17 @@ sub start_functionplotresponse { undef %Apache::functionplotresponse::previous; $Apache::functionplotresponse::inputfields=''; $Apache::functionplotresponse::counter=0; +# Remember vectors + undef %Apache::functionplotresponse::vectorlabels; +# Remember rules + undef @Apache::functionplotresponse::functionplotrules; + undef @Apache::functionplotresponse::functionplotvectorrules; +# Remember failed rules + if ($target eq 'grade') { + undef @Apache::functionplotresponse::failedrules; + } +# Delete previous awards + undef $Apache::functionplotresponse::awarddetail; # Part and ID my $partid=$Apache::inputtags::part; my $id=&Apache::response::start_response($parstack,$safeeval); @@ -378,32 +1449,668 @@ sub start_functionplotresponse { &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); # Parameters of - my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval); - $xmin=($xmin?$xmin:-10); - my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval); - $xmax=($xmax?$xmax:10); - my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval); - $ymin=($ymin?$ymin:-10); - my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval); - $ymax=($ymax?$ymax:10); + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); + my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); + my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); + if ($target eq 'edit') { + $result.=&Apache::edit::start_table($token) + .''.&Apache::loncommon::insert_folding_button().&mt('Function Plot Question').'' + .''.&mt('Delete?').' ' + .&Apache::edit::deletelist($target,$token).'   ' + .&Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') + .'' + ." " + .&Apache::edit::end_row() + .&Apache::edit::start_spanning_row() + ."\n"; + $result.=&Apache::edit::text_arg('Width (pixels):','width', + $token,'6').' '. + &Apache::edit::text_arg('Height (pixels):','height', + $token,'6').'
'. + &Apache::edit::text_arg('Label x-axis:','xlabel', + $token,'6').' '. + &Apache::edit::text_arg('Minimum x-value:','xmin', + $token,'4').' '. + &Apache::edit::text_arg('Maximum x-value:','xmax', + $token,'4').' '. + &Apache::edit::select_arg('x-axis visible:','xaxisvisible', + ['yes','no'],$token).'
'. + &Apache::edit::text_arg('Label y-axis:','ylabel', + $token,'6').' '. + &Apache::edit::text_arg('Minimum y-value:','ymin', + $token,'4').' '. + &Apache::edit::text_arg('Maximum y-value:','ymax', + $token,'4').' '. + &Apache::edit::select_arg('y-axis visible:','yaxisvisible', + ['yes','no'],$token).'
'. + &Apache::edit::select_arg('Grid visible:','gridvisible', + ['yes','no'],$token).'
'. + &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', + 'answerdisplay',$token,'50'). + &Apache::edit::end_row().&Apache::edit::start_spanning_row(); + } elsif ($target eq 'modified') { + my $constructtag=&Apache::edit::get_new_args($token,$parstack, + $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax', + 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); + if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } - if ($target eq 'meta') { + } elsif ($target eq 'meta') { $result=&Apache::response::meta_package_write('functionplotresponse'); - } elsif ($target eq 'web') { -# paste in the update routine to receive stuff back from the applet - $result.=&update_script($internalid); -# start the initscript for this applet - $result.=&start_init_script($internalid); -# put the axis commands inside - $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); -# init script is left open + } elsif (($target eq 'answer') && + ($env{'form.answer_output_mode'} ne 'tex') && + ($Apache::lonhomework::viewgrades == 'F')) { + my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); + $uname =~s/\W//g; + $udom =~s/\W//g; + my $function_name = + join('_','LONCAPA_scriptvars',$uname,$udom, + $env{'form.counter'},$Apache::lonxml::curdepth); + &Apache::lonxml::add_script_result( + &Apache::loncommon::modal_adhoc_window($function_name,700,500, + '
'.$Apache::functionplotresponse::ruleslog.'
', + &mt('Rules Log'))."
"); } return $result; } +sub compare_rel { + my ($relationship,$value,$realval,$tol)=@_; +# is the real value undefined? + unless (defined($realval)) { +# the real value is not defined + if ($relationship eq 'eq') { + if ($value eq 'undef') { + return 1; + } else { + return 0; + } + } elsif ($relationship eq 'ne') { + if ($value eq 'undef') { + return 0; + } else { + return 1; + } + } else { + return 0; + } + } + +# is the expected value undefined? + if ($value eq 'undef') { +# but by now we know that the real value is defined + return 0; + } + +# both are defined. + if ($relationship eq 'gt') { + return ($realval>$value); + } elsif ($relationship eq 'ge') { + return ($realval>$value-$tol); + } elsif ($relationship eq 'lt') { + return ($realval<$value); + } elsif ($relationship eq 'le') { + return ($realval<$value+$tol); + } elsif ($relationship eq 'ne') { + return (abs($value-$realval)>$tol); + } else { + return (abs($value-$realval)<$tol); + } + return 0; +} + +sub addlog { + my ($text)=@_; + $text=~s/\'/\\\'/g; + $Apache::functionplotresponse::ruleslog.=$text.'
'; +} + +sub actualval { + my ($i,$xmin,$xmax)=@_; + return $xmin+$i/400.*($xmax-$xmin); +} + +sub fpr_val { + my ($arg)=@_; + return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg}, + $Apache::functionplotresponse::fpr_xmin, + $Apache::functionplotresponse::fpr_xmax); +} + +sub fpr_f { + my ($arg)=@_; + return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin, + $Apache::functionplotresponse::fpr_xmax, + $arg)]; +} + +sub fpr_dfdx { + my ($arg)=@_; + return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin, + $Apache::functionplotresponse::fpr_xmax, + $arg)]; +} + +sub fpr_d2fdx2 { + my ($arg)=@_; + return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin, + $Apache::functionplotresponse::fpr_xmax, + $arg)]; +} + +sub fpr_vectorcoords { + my ($arg)=@_; + $arg=~s/\W//gs; + $arg=ucfirst($arg); + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'}, + $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'}, + $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'}, + $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'}); +} + +sub fpr_objectcoords { + my ($arg)=@_; + $arg=~s/\W//gs; + $arg=ucfirst($arg); + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'}, + $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'}); +} + +sub fpr_vectorlength { + my ($arg)=@_; + my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); + return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys)); +} + +sub fpr_vectorangle { + my ($arg)=@_; + my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); + my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs)); + if ($angle<0) { $angle=360+$angle; } + return $angle; +} + +sub vectorcoords { + my ($id,$label)=@_; + return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'End_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'}, + $env{'form.HWVAL_'.$id.'_'.$label.'End_y'}); +} + +sub objectcoords { + my ($id,$label)=@_; + return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'}, + $env{'form.HWVAL_'.$id.'_'.$label.'_y'}); +} + +sub attached { + my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_; + my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector); + my $tolx=($xmax-$xmin)/100.; + my $toly=($ymax-$ymin)/100.; + my $tail=0; + my $tip=0; + foreach my $obj (split(/\s*\,\s*/,$objects)) { + $obj=~s/\W//g; + unless ($obj) { next; } + $obj=ucfirst($obj); + my ($xo,$yo)=&objectcoords($id,$obj); + &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)"); + if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { + $tail=1; + &addlog("Attached tail: $obj"); + } + if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { + $tip=1; + &addlog("Attached tip: $obj"); + } + } + &addlog("Result tail:$tail tip:$tip"); + return($tail,$tip); +} + + +sub vectorangle { + my ($x,$y)=@_; + my $angle=57.2957795*atan2($y,$x); + if ($angle<0) { $angle=360+$angle; } + return $angle; +} + +sub vectorlength { + my ($x,$y)=@_; + return sqrt($x*$x+$y*$y); +} + +sub relvector { + my ($xs,$xe,$ys,$ye)=@_; + return ($xe-$xs,$ye-$ys); +} + +sub plotvectorlength { + return &vectorlength(&relvector(&vectorcoords(@_))); +} + +sub plotvectorangle { + return &vectorangle(&relvector(&vectorcoords(@_))); +} + + +# +# Evaluate a functionplotvectorrule +# + +sub functionplotvectorrulecheck { + my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; + &addlog("================="); + my ($label,$type)=split(/\:/,$rule); + if ($type eq 'vector') { + return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); + } elsif ($type eq 'sum') { + return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); + } elsif ($type eq 'custom') { + return &customcheck($rule,$safeeval); + } +} + +sub vectorcheck { + my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; + my ($label,$type,$id,$vector, + $attachpoint,$notattachpoint, + $tailpoint,$tippoint,$nottailpoint,$nottippoint, + $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); + &addlog("Vector Rule $label for vector ".$vector); + if ($length ne '') { + &addlog("Checking for length $length with error $lengtherror"); + $length=&Apache::run::run($length,$safeeval); + &addlog("Length evaluated to $length"); + my $thislength=&plotvectorlength($id,$vector); + &addlog("Found length $thislength"); + if (abs($thislength-$length)>$lengtherror) { + &setfailed($label); + return 0; + } + } + if ($angle ne '') { + &addlog("Checking for angle $angle with error $angleerror"); + $angle=&Apache::run::run($angle,$safeeval); + &addlog("Angle evaluated to $angle"); + my $thisangle=&plotvectorangle($id,$vector); + &addlog("Found angle $thisangle"); + my $anglediff=abs($thisangle-$angle); + &addlog("Angle difference: $anglediff"); + if ($anglediff>360.-$anglediff) { + $anglediff=360.-$anglediff; + } + &addlog("Smallest angle difference: $anglediff"); + if ($anglediff>$angleerror) { + &setfailed($label); + return 0; + } + } + if ($attachpoint ne '') { + &addlog("Checking attached: ".$attachpoint); + my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax); + unless ($tail || $tip) { + &setfailed($label); + return 0; + } + } + if ($notattachpoint ne '') { + &addlog("Checking not attached: ".$notattachpoint); + my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax); + if ($tail || $tip) { + &setfailed($label); + return 0; + } + } + if ($tailpoint ne '') { + &addlog("Checking tail: ".$tailpoint); + my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax); + unless ($tail) { + &setfailed($label); + return 0; + } + } + if ($nottailpoint ne '') { + &addlog("Checking not tail: ".$nottailpoint); + my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax); + if ($tail) { + &setfailed($label); + return 0; + } + } + if ($tippoint ne '') { + &addlog("Checking tip: ".$tippoint); + my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax); + unless ($tip) { + &setfailed($label); + return 0; + } + } + if ($nottippoint ne '') { + &addlog("Checking not tip: ".$nottippoint); + my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax); + if ($tip) { + &setfailed($label); + return 0; + } + } + + &addlog("Rule $label passed."); + return 1; +} + +sub sumcheck { + my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; + my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); + &addlog("Vector Sum Rule $label for vectors ".$vectors); + my $sumx=0; + my $sumy=0; + foreach my $sv (split(/\s*\,\s*/,$vectors)) { + my ($rx,$ry)=&relvector(&vectorcoords($id,$sv)); + $sumx+=$rx; + $sumy+=$ry; + } + &addlog("Sum vector ($sumx,$sumy)"); + if ($length ne '') { + &addlog("Checking length $length with error $lengtherror"); + $length=&Apache::run::run($length,$safeeval); + &addlog("Evaluated to $length"); + my $thislength=&vectorlength($sumx,$sumy); + &addlog("Actual length $thislength"); + if (abs($length-$thislength)>$lengtherror) { + &setfailed($label); + return 0; + } + } + if ($angle ne '') { + &addlog("Checking angle $angle with error $angleerror"); + $angle=&Apache::run::run($angle,$safeeval); + &addlog("Evaluated to $angle"); + my $thisangle=&vectorangle($sumx,$sumy); + &addlog("Actual angle $thisangle"); + my $anglediff=abs($thisangle-$angle); + &addlog("Angle difference: $anglediff"); + if ($anglediff>360.-$anglediff) { + $anglediff=360.-$anglediff; + } + &addlog("Smallest angle difference: $anglediff"); + if ($anglediff>$angleerror) { + &setfailed($label); + return 0; + } + } + &addlog("Rule $label passed."); + return 1; +} + +sub customcheck { + my ($rule,$safeeval)=@_; + my ($label,$type,$prg)=split(/\:/,$rule); + &addlog("Custom Rule ".$label); + my $result=&Apache::run::run(&unescape($prg),$safeeval); + &addlog("Algorithm returned $result"); + unless ($result) { + &setfailed($label); + return 0; + } + &addlog("Rule $label passed."); + return 1; +} + +# +# Evaluate a functionplotrule +# + +sub functionplotrulecheck { + my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; + + my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) + =split(/\:/,$rule); + $percent=($percent>0?$percent:5); + &addlog("================="); + &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); +# +# Evaluate the value +# + if (($value=~/\D/) && ($value ne 'undef')) { + $Apache::functionplotresponse::fpr_xmin=$xmin; + $Apache::functionplotresponse::fpr_xmax=$xmax; + $value=&Apache::run::run($value,$safeeval); + &addlog("Value evaluated to $value"); + } + +# +# Minimum and maximum lengths of the interval +# + if ((defined($minimumlength)) || (defined($maximumlength))) { + &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); + } + my $li=0; + my $lh=400; + +# Special case: the upper boundary was not defined +# and needs to be set to the value where +# the condition is not true anymore => set flag + + my $findupper=0; + if (($xfinal eq '') + && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) + && ($xfinallabel)) { + $findupper=1; + } + +# if a hard value is set for the boundaries, it overrides the label + if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { + $li=&array_index($xmin,$xmax,$xinitial); + $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; + } + if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { + $lh=&array_index($xmin,$xmax,$xfinal); + $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; + } +# if the label is defined, use it + if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { + &addlog("Using lower label $xinitiallabel"); + $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; + } else { + $li=&array_index($xmin,$xmax,$xinitial); + } + unless ($findupper) { + if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { + &addlog("Using upper label $xfinallabel"); + $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; + } else { + $lh=&array_index($xmin,$xmax,$xfinal); + } + } +# Basic sanity checks + if ($li<0) { $li=0; } + if ($lh>400) { $lh=400; } + if (($li>$lh) || (!defined($lh))) { + $lh=$li; + } + + &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". + &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); + if ($findupper) { + &addlog("Looking for label $xfinallabel"); + } + my $tol=$percent*($ymax-$ymin)/100; + if ($xmax>$xmin) { + if ($derivative==2) { + $tol=4.*$tol/($xmax-$xmin); + } elsif ($derivative==1) { + $tol=2.*$tol/($xmax-$xmin); + } elsif ($derivative==-1) { + $tol=$tol*($xmax-$xmin)/2.; + } + } + my $integral=0; + my $binwidth=($xmax-$xmin)/400.; + if (($derivative<0) && (!$findupper)) { +# definite integral, calculate over whole length + &addlog("Calculating definite integral"); + for (my $i=$li; $i<=$lh; $i++) { + $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; + } + unless (&compare_rel($relationship,$value,$integral,$tol)) { + &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); + &addlog("Rule $label failed."); + &setfailed($label); + return 0; + } + } else { + for (my $i=$li; $i<=$lh; $i++) { + my $val; + if ($derivative==2) { + $val=$Apache::functionplotresponse::d2funcdx2[$i]; + } elsif ($derivative==1) { + $val=$Apache::functionplotresponse::dfuncdx[$i]; + } elsif ($derivative==-1) { + $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; + $val=$integral; + } else { + $val=$Apache::functionplotresponse::func[$i]; + } + unless (&compare_rel($relationship,$value,$val,$tol)) { + &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); + &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); + if (($findupper) && ($i>$li)) { +# Check lengths + unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } +# Successfully found a new label, set it + $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; + &addlog("Rule $label passed, setting label $xfinallabel"); + return 1; + } else { + &addlog("Rule $label failed."); + &setfailed($label); + return 0; + } + } + } + } +# Corner case where this makes sense: using start or stop as defined labels + unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } + &addlog("Rule $label passed."); + return 1; +} + +# +# check for minimum and maximum lengths +# + +sub checklength { + my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; + unless (($minimumlength) || ($maximumlength)) { return 1; } + my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); + if ($minimumlength) { + if ($length<$minimumlength) { + &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); + &setfailed($label); + return 0; + } + } + if ($maximumlength) { + if ($length>$maximumlength) { + &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); + &setfailed($label); + return 0; + } + } + return 1; +} + +sub setfailed { + my ($hintlabel)=@_; + $hintlabel=~s/^R//; + push(@Apache::functionplotresponse::failedrules,$hintlabel); + &addlog("Set hint condition $hintlabel"); +} + +sub start_functionplotruleset { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + if ($target eq 'edit') { + return &Apache::edit::start_table($token). + ''.&Apache::loncommon::insert_folding_button().&mt('Function Plot Rule Set').'' + .''.&mt('Delete?').' ' + .&Apache::edit::deletelist($target,$token).'   '. + &Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') + .'' + ." " + .&Apache::edit::end_row() + .&Apache::edit::start_spanning_row() + ."\n"; + } +} + +sub end_functionplotruleset { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + + if ($target eq 'edit' ) { + return &Apache::edit::end_table(); + } elsif ($target eq 'grade' + && &Apache::response::submitted() + && $Apache::lonhomework::type ne 'exam') { +# +# Actually grade +# + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); + + my $ad=''; + undef %Apache::functionplotresponse::functionplotrulelabels; + $Apache::functionplotresponse::ruleslog=''; + $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; + $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; + if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') { + $ad='NOT_FUNCTION'; + } else { + &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". + $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); + &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". + $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); + +# We have a function that we can actually grade, go through the spline rules. + foreach my $rule (@Apache::functionplotresponse::functionplotrules) { + unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { + $ad='INCORRECT'; + last; + } + } +# And now go through the vector rules + foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) { + unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { + $ad='INCORRECT'; + last; + } + } +# If it's not wrong, it's correct + unless ($ad) { $ad='EXACT_ANS' }; + } + &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); + &addlog("Assigned award detail: $ad"); +# Store for later to be assigned at end_functionplotresponse + $Apache::functionplotresponse::awarddetail=$ad; + } +} + + sub end_functionplotresponse { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; &Apache::response::end_response; @@ -413,33 +2120,87 @@ sub end_functionplotresponse { my $partid=$Apache::inputtags::part; my $internalid = $partid.'_'.$id; -# if ($target eq 'edit') { $result=&Apache::edit::end_table(); } + if ($target eq 'edit') { $result=&Apache::edit::end_table(); } if ($target eq 'grade' && &Apache::response::submitted() && $Apache::lonhomework::type eq 'exam') { - #&Apache::response::scored_response($partid,$id); + &Apache::response::scored_response($partid,$id); } elsif ($target eq 'grade' && &Apache::response::submitted() && $Apache::lonhomework::type ne 'exam') { my ($response,%coords)=&get_answer_from_form_fields($internalid); $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; - $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}='INCORRECT'; - + my %previous=&Apache::response::check_for_previous($response,$partid,$id); +# +# Assign grade +# + my $ad=$Apache::functionplotresponse::awarddetail; +# +# Store grading info +# + $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; + &Apache::response::handle_previous(\%previous,$ad); } elsif ($target eq 'web') { + undef @Apache::functionplotresponse::failedrules; + } + return $result; +} + +sub end_functionplotelements { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; + my $result=''; + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + if ($target eq 'edit' ) { + $result=&Apache::edit::end_table(); + } elsif ($target eq 'web') { + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); + +# Are we in show answer mode? + my $showanswer=&Apache::response::show_answer(); + if ($showanswer) { +# Render answerdisplay + my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); + if ($answerdisplay=~/\S/s) { + foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { + my @components=split(/\s*\:\s*/,$plot); + if ($#components<3) { +# Just a simple plot + my ($func,$xl,$xh)=@components; + if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } + if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } + $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); + } else { +# This is a spline + $result.=&answer_spline_script($internalid,@components); + } + } + } + } + my $fixed=0; + if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } # Now is the time to render all of the stored splines foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { - $result.=&generate_spline($internalid,$label); + $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); } # close the init script $result.=&end_init_script(); +# register all splines in this response + $result.=''."\n"; + foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { + $result.=''."\n"; + } # generate the input fields $result.=$Apache::functionplotresponse::inputfields; # actually start the -tag - $result.=&geogebra_startcode($internalid); -# load the spline bytecode - $result.=&geogebra_spline_program(); + $result.=&geogebra_startcode($internalid, + &Apache::lonxml::get_param('width',$parstack,$safeeval,-2), + &Apache::lonxml::get_param('height',$parstack,$safeeval,-2)); # set default parameters $result.=&geogebra_default_parameters($internalid); # close the -tag @@ -447,6 +2208,66 @@ sub end_functionplotresponse { } return $result; } + +sub boundaries { + my ($parstack,$safeeval,$level)=@_; + my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); + $xmin=(defined($xmin)?$xmin:-10); + my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); + $xmax=(defined($xmax)?$xmax:10); + my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); + $ymin=(defined($ymin)?$ymin:-10); + my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); + $ymax=(defined($ymax)?$ymax:10); + if ($xmax<=$xmin) { + $xmax=$xmin+20; + } + if ($ymax<=$ymin) { + $ymax=$ymin+20; + } + return ($xmin,$xmax,$ymin,$ymax); +} + +sub start_functionplotelements { + my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; + my $result=''; + my $id=$Apache::inputtags::response[-1]; + my $partid=$Apache::inputtags::part; + my $internalid = $partid.'_'.$id; + + if ($target eq 'edit') { + return &Apache::edit::start_table($token). + ''.&Apache::loncommon::insert_folding_button() + .&mt('Function Plot Elements').'' + .''.&mt('Delete?').' ' + .&Apache::edit::deletelist($target,$token).'   '. + &Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') + .'' + ." " + .&Apache::edit::end_row() + .&Apache::edit::start_spanning_row() + ."\n"; + } elsif ($target eq 'web') { + my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); + my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); + my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); + my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); + my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); + my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); + + +# paste in the update routine to receive stuff back from the applet + $result.=&update_script($internalid); +# start the initscript for this applet + $result.=&start_init_script($internalid); +# put the axis commands inside + $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); + $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); +# init script is left open + } + return $result; +} 1;