1: # LearningOnline Network with CAPA
2: # Functionplot responses
3: #
4: # $Id: functionplotresponse.pm,v 1.75 2011/11/19 13:45:36 www Exp $
5: #
6: # Copyright Michigan State University Board of Trustees
7: #
8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
9: #
10: # LON-CAPA is free software; you can redistribute it and/or modify
11: # it under the terms of the GNU General Public License as published by
12: # the Free Software Foundation; either version 2 of the License, or
13: # (at your option) any later version.
14: #
15: # LON-CAPA is distributed in the hope that it will be useful,
16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18: # GNU General Public License for more details.
19: #
20: # You should have received a copy of the GNU General Public License
21: # along with LON-CAPA; if not, write to the Free Software
22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23: #
24: # /home/httpd/html/adm/gpl.txt
25: #
26: # http://www.lon-capa.org/
27: #
28:
29: package Apache::functionplotresponse;
30: use strict;
31: use Apache::response();
32: use Apache::lonlocal;
33: use Apache::lonnet;
34: use Apache::run;
35:
36: BEGIN {
37: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
38: 'plotobject','plotvector','functionplotvectorrule',
39: 'functionplotrule','functionplotruleset',
40: 'functionplotelements'));
41: }
42:
43: #
44: # There can be a number of applets on a page, each called ggbApplet_$id,
45: # where $id is the "_"-concatenated part and responseid
46: #
47:
48: sub geogebra_startcode {
49: my ($id)=@_;
50: return (<<ENDSTARTCODE);
51: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
52: codebase="/adm/geogebra/" width="722" height="447" MAYSCRIPT>
53: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
54: ENDSTARTCODE
55: }
56:
57: sub geogebra_endcode {
58: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
59: }
60:
61: #
62: # This is the internal GeoGebra bytecode which defines the spline functions
63: #
64: sub geogebra_spline_program {
65: return (<<ENDSPLINEPROGRAM);
66: <param name="ggbBase64" value="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"/>
67: ENDSPLINEPROGRAM
68: }
69:
70: #
71: # The standard set of parameters inside <applet>
72: #
73: sub geogebra_default_parameters {
74: my ($id)=@_;
75: return(<<ENDDEFAULTPARAMETERS);
76: <param name="image" value="/adm/lonIcons/lonanim.gif" />
77: <param name="boxborder" value="false" />
78: <param name="centerimage" value="true" />
79: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
80: <param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
81: <param name="framePossible" value="false" />
82:
83: <param name="showResetIcon" value="false" />
84: <param name="showAnimationButton" value="false" />
85: <param name="enableRightClick" value="false" />
86: <param name="errorDialogsActive" value="true" />
87: <param name="enableLabelDrags" value="false" />
88: <param name="showMenuBar" value="false" />
89: <param name="showToolBar" value="false" />
90: <param name="showToolBarHelp" value="false" />
91: <param name="showAlgebraInput" value="false" />
92: <param name="enableShiftDragZoom" value="false" />
93: <param name="allowRescaling" value="false" />
94: <param name="enableLabelDrags" value="false" />
95: <param name="ggbOnInitParam" value="applet_$id" />
96: ENDDEFAULTPARAMETERS
97: }
98:
99: #
100: # This subroutine is called by LON-CAPA at </problem>
101: # Each applet on the page will call function ggbOnInit when it is done loading
102: # This function in turn will call the respective function registered by start_init_script
103: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
104: #
105:
106: sub init_script {
107: if ($#Apache::functionplotresponse::callscripts>=0) {
108: my $script='';
109: foreach my $id (@Apache::functionplotresponse::callscripts) {
110: $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
111: }
112: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
113: ") { setTimeout('ggbInitAll()',200) }";
114: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
115: return (<<ENDGGBINIT);
116: <script type="text/javascript">
117: // <![CDATA[
118: // Function that each applet will call when loaded
119: // It will pass "its" parameter
120: // Set flags for when an applet is loaded, wait till all are loaded, and then some
121: function ggbOnInit(param) {
122: $script
123: }
124: function ggbInitAll() {
125: $calls
126: }
127: // ]]>
128: </script>
129: ENDGGBINIT
130: }
131: }
132:
133: #
134: # Each Geogebra applet is supposed to call this when parameters change
135: # Changes the hidden fields on the web page
136: #
137: sub update_script {
138: my ($id)=@_;
139: return (<<ENDUPDATESCRIPT);
140: <script type="text/javascript">
141: // <![CDATA[
142: function updatePointCoordinates_$id(coordinateName) {
143: var x = document.ggbApplet_$id.getXcoord(coordinateName);
144: var y = document.ggbApplet_$id.getYcoord(coordinateName);
145: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
146: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
147: }
148: // ]]>
149: </script>
150: ENDUPDATESCRIPT
151: }
152:
153: #
154: # Register the above update-handler for a variable
155: #
156:
157: sub update_register {
158: my ($id,$variable)=@_;
159: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
160: }
161:
162: #
163: # Set a point coordinate variable
164: #
165: sub set_point_coordinate {
166: my ($id,$variable,$x,$y,$fixed)=@_;
167: my $mult=($fixed?'a*':'');
168: # Get rid of wild exponents, make sure it's a number
169: $x=1.*$x;
170: $y=1.*$y;
171: # GeoGebra does not understand "E"
172: $x=~s/[e|E]/\*10\^/;
173: $x=~s/\+//;
174: $y=~s/[e|E]/\*10\^/;
175: $y=~s/\+//;
176: return (<<ENDSETVARIABLE);
177: document.ggbApplet_$id.evalCommand("a=1");
178: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
179: document.ggbApplet_$id.setLabelVisible("$variable",false);
180: ENDSETVARIABLE
181: }
182:
183: #
184: # Set a slope coordinate variable
185: #
186: sub set_slope_coordinate {
187: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
188: my $xvariable=$variable.'x';
189: my $yvariable=$variable.'y';
190: my $domain=$xmax-$xmin;
191: my $range=$ymax-$ymin;
192: my $xinterval=$domain/100.;
193: my $yinterval=$range/200.;
194: my $mult=($fixed?'a*':'');
195: return (<<ENDSETSVARIABLE);
196: document.ggbApplet_$id.evalCommand("a=1");
197: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
198: document.ggbApplet_$id.setVisible("$xvariable", false);
199: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
200: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
201: document.ggbApplet_$id.setVisible("$yvariable", false);
202: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
203: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
204: document.ggbApplet_$id.setLabelVisible("$variable", false);
205: ENDSETSVARIABLE
206: }
207:
208: #
209: # Input field name for a coordinate variable
210: #
211:
212: sub field_name {
213: my ($id,$variable,$name)=@_;
214: return "HWVAL_$id\_$variable\_$name";
215: }
216:
217: #
218: # Generate an input field for a coordinate variable
219: #
220:
221: sub generate_input_field {
222: my ($id,$variable,$x,$y)=@_;
223: $Apache::functionplotresponse::inputfields.=
224: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
225: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
226: }
227:
228: #
229: # Initialize a new point coordinate variable at set a listener on it
230: #
231: sub new_point_coordinate {
232: my ($id,$variable,$x,$y,$fixed)=@_;
233: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
234: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
235: }
236: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
237: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
238: }
239: &generate_input_field($id,$variable,$x,$y);
240: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
241: }
242:
243: #
244: # Initialize a new slope coordinate variable at set a listener on it
245: #
246: sub new_slope_coordinate {
247: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
248: #
249: # $variable: name of the slope point
250: # $x, $y: coordinates of the slope point
251: # $pointname: name of the associated point point
252: # $xp $yp: coordinates of the point point
253: #
254: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
255: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
256: }
257: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
258: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
259: }
260: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
261: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
262: }
263: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
264: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
265: }
266:
267: &generate_input_field($id,$variable,$x,$y);
268: my $xrel=$x-$xp;
269: my $yrel=$y-$yp;
270: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
271: }
272:
273: #
274: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
275: # It then starts the right headers
276: #
277: sub start_init_script {
278: my ($id)=@_;
279: # Add id to the list of ggbInit_$id functions that need to be called
280: push(@Apache::functionplotresponse::callscripts,$id);
281: # ... and open this function
282: return (<<ENDSTARTINIT);
283: <script type="text/javascript">
284: // <![CDATA[
285: // variable that will eventually be passed back to the server
286: var coordinateMap_$id = [];
287: // flag for not loaded yet
288: var loaded_$id=false;
289: // Init-function for applet
290: function ggbInit_$id() {
291: ENDSTARTINIT
292: }
293:
294: #
295: # This sets the axes inside ggbInit_$id
296: #
297:
298: sub axes_script {
299: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
300: return (<<ENDAXESSCRIPT);
301: // changes (xmin, xmax, ymin, ymax)
302: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
303:
304: // makes the (x,y) axis (in)visible
305: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
306: // makes the grid (in)visible
307: document.ggbApplet_$id.setGridVisible($gvisible);
308: ENDAXESSCRIPT
309: }
310:
311: sub axes_label {
312: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
313: unless ($xlabel || $ylabel) { return ''; }
314: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
315: if ($xlabel) {
316: if (($ymin<0) && ($ymax>0)) {
317: $return.=(<<ENDXAXISLABELSCRIPT);
318: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
319: document.ggbApplet_$id.setVisible("Xlabel",false);
320: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
321: ENDXAXISLABELSCRIPT
322: } else {
323: $return.=(<<ENDXOFFAXISLABEL);
324: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
325: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
326: ENDXOFFAXISLABEL
327: }
328: }
329: if ($ylabel) {
330: if (($xmin<0) && ($xmax>0)) {
331: $return.=(<<ENDYAXISLABELSCRIPT);
332: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
333: document.ggbApplet_$id.setVisible("Ylabel",false);
334: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
335: ENDYAXISLABELSCRIPT
336: } else {
337: $return.=(<<ENDYOFFAXISLABEL);
338: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
339: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
340: ENDYOFFAXISLABEL
341: }
342: }
343: return $return;
344: }
345:
346: #
347: # Subroutine to produce background and answer plots
348: #
349:
350: sub plot_script {
351: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
352: $label=~s/\W//g;
353: if (($label) && ($label!~/^[A-Za-z]/)) {
354: $label='C'.$label;
355: }
356: my $visible=0;
357: if ($label) {
358: $visible="1";
359: } else {
360: $Apache::functionplotresponse::counter++;
361: $label='C'.$Apache::functionplotresponse::counter;
362: }
363: my $rc=0;
364: my $gc=0;
365: my $bc=0;
366: if ($color) {
367: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
368: $rc=hex($rh);
369: $gc=hex($gh);
370: $bc=hex($bh);
371: }
372: if ($fixed) {
373: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
374: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
375: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
376: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
377: } else {
378: return "document.ggbApplet_$id.evalCommand('y=$function');\n";
379: }
380: }
381:
382: #
383: # Subroutine to produce objects
384: #
385:
386: sub plotobject_script {
387: my ($id,$label,$x,$y)=@_;
388: unless ($label) {
389: $Apache::functionplotresponse::counter++;
390: $label='O'.$Apache::functionplotresponse::counter;
391: }
392: return "document.ggbApplet_$id.evalCommand('a=1');\n".
393: "document.ggbApplet_$id.setVisible('a', false);\n".
394: "document.ggbApplet_$id.setLabelVisible('a', false);\n".
395: "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
396: "document.ggbApplet_$id.setVisible('$label', true);\n".
397: "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
398: }
399:
400: #
401: # Subroutine to produce vectors
402: #
403:
404: sub plotvector_script {
405: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax)=@_;
406: unless ($label) {
407: $Apache::functionplotresponse::counter++;
408: $label='V'.$Apache::functionplotresponse::counter;
409: }
410: my $startlabel=$label.'Start';
411: my $endlabel=$label.'End';
412: my $pointlabel=$label.'Point';
413: my $pointx=2.*($xmax-$xmin)+$xmax;
414: my $anglelabel=$label.'Angle';
415: return
416: &new_point_coordinate($id,$startlabel,$xs,$ys,0).
417: &new_point_coordinate($id,$endlabel,$xe,$ye,0).
418: (<<ENDVECTOR);
419: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
420: document.ggbApplet_$id.setLabelVisible("$label",true);
421: document.ggbApplet_$id.setLineThickness("$label",8);
422: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
423: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
424: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
425: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
426: ENDVECTOR
427: }
428:
429: #
430: # Answer spline display
431: #
432: # points: x,y,slope_x,slope_y
433:
434: sub answer_spline_script {
435: my ($id,@points)=@_;
436: my $order=int(($#points+1)/4);
437: if ($order<2) { $order=2; }
438: if ($order>8) { $order=8; }
439: $Apache::functionplotresponse::counter++;
440: my $label='CSpline'.$Apache::functionplotresponse::counter;
441: my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
442: for (my $i=0;$i<=$#points;$i+=4) {
443: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
444: }
445: $output=~s/\,$//;
446: $output.=']");'."\n";
447: for (my $i=2; $i<2*$order; $i+=2) {
448: $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
449: }
450: for (my $i=1; $i<2*$order; $i+=2) {
451: $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
452: }
453:
454: return $output;
455: }
456:
457: #
458: # Subroutine that generates code for spline $label based on stored information
459: #
460:
461: sub generate_spline {
462: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
463: my $result='';
464: my $order=$Apache::functionplotresponse::splineorder{$label};
465: my $x=$Apache::functionplotresponse::splineinitx{$label};
466: my $y=$Apache::functionplotresponse::splineinity{$label};
467: my $sx=$Apache::functionplotresponse::splinescalex{$label};
468: my $sy=$Apache::functionplotresponse::splinescaley{$label};
469: my @coords=();
470: foreach my $i (1..$order) {
471: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
472: my $xp=$x;
473: $x+=$sx/(2.*($order-1));
474: push(@coords,$label.'P'.$i);
475: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
476: $x+=$sx/(2.*($order-1));
477: push(@coords,$label.'S'.$i);
478: }
479: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
480: return $result;
481: }
482:
483: #
484: # Object
485: #
486:
487: sub start_plotobject {
488: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
489: my $result='';
490: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
491: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
492: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
493: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
494: $label=~s/\W//gs;
495: $label=ucfirst($label);
496: unless ($label) { $label="NewObject"; }
497: if ($target eq 'web') {
498: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
499: unless (defined($x)) { $x=$xmin; }
500: unless (defined($y)) { $y=$ymin; }
501: $result.=&plotobject_script($internalid,$label,$x,$y);
502: } elsif ($target eq 'edit') {
503: $result=&Apache::edit::tag_start($target,$token,'Plot Object').
504: &Apache::edit::text_arg('Label on Plot:','label',
505: $token,'16').
506: &Apache::edit::text_arg('x:','x',
507: $token,'8').
508: &Apache::edit::text_arg('y:','y',
509: $token,'8').
510: &Apache::edit::end_row();
511: } elsif ($target eq 'modified') {
512: $env{'form.'.&Apache::edit::html_element_name('label')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('label')});
513: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
514: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
515: }
516: return $result;
517: }
518:
519: sub end_plotobject {
520: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
521: my $result='';
522: if ($target eq 'edit') {
523: $result=&Apache::edit::end_table();
524: }
525: return $result;
526: }
527:
528: #
529: # Vector
530: #
531:
532: sub start_plotvector {
533: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
534: my $result='';
535: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
536: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
537: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
538: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
539: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
540:
541: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
542: $label=~s/\W//gs;
543: $label=ucfirst($label);
544: unless ($label) { $label="NewVector"; }
545: if ($target eq 'web') {
546: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
547: unless (defined($tailx)) { $tailx=$xmin; }
548: unless (defined($taily)) { $taily=$ymin; }
549: unless (defined($tipx)) { $tipx=$xmin; }
550: unless (defined($tipy)) { $tipy=$ymin; }
551: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax);
552: } elsif ($target eq 'edit') {
553: $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
554: &Apache::edit::text_arg('Label on Plot:','label',
555: $token,'16').
556: &Apache::edit::text_arg('Tail x:','tailx',
557: $token,'8').
558: &Apache::edit::text_arg('Tail y:','taily',
559: $token,'8').
560: &Apache::edit::text_arg('Tip x:','tipx',
561: $token,'8').
562: &Apache::edit::text_arg('Tip y:','tipy',
563: $token,'8').
564:
565: &Apache::edit::end_row();
566: } elsif ($target eq 'modified') {
567: $env{'form.'.&Apache::edit::html_element_name('label')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('label')});
568: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
569: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
570: }
571: return $result;
572: }
573:
574: sub end_plotvector {
575: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
576: my $result='';
577: if ($target eq 'edit') {
578: $result=&Apache::edit::end_table();
579: }
580: return $result;
581: }
582:
583:
584:
585: #
586: # <backgroundplot function="..." fixed="yes/no" />
587: #
588: sub start_backgroundplot {
589: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
590: my $result='';
591: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
592: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
593: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
594: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
595: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
596: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
597: $color=~s/[^a-fA-F0-9]//gs;
598: unless (length($color)==6) { $color=''; }
599: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
600:
601: unless ($function) { $function="0"; }
602: if ($target eq 'web') {
603: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
604: unless (defined($xinitial)) { $xinitial=$xmin; }
605: unless (defined($xfinal)) { $xfinal=$xmax; }
606: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
607: } elsif ($target eq 'edit') {
608: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
609: &Apache::edit::text_arg('Function:','function',
610: $token,'16').
611: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
612: $token,'8').
613: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
614: $token,'8').
615: &Apache::edit::text_arg('Label on Plot:','label',
616: $token,'8').
617: &Apache::edit::text_arg('Color (hex code):','color',
618: $token,'8').
619: &Apache::edit::select_arg('Fixed location:','fixed',
620: ['yes','no'],$token).
621: &Apache::edit::end_row();
622: } elsif ($target eq 'modified') {
623: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
624: $safeeval,'function','label','xinitial','xfinal','color','fixed');
625: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
626: }
627: return $result;
628: }
629:
630: sub end_backgroundplot {
631: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
632: my $result='';
633: if ($target eq 'edit') {
634: $result=&Apache::edit::end_table();
635: }
636: return $result;
637: }
638:
639: #
640: # <functionplotrule ... />
641: #
642: sub start_functionplotrule {
643: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
644: my $result='';
645: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
646: $Apache::functionplotresponse::counter++;
647: if ($label=~/\W/) {
648: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
649: }
650: $label=~s/\W//gs;
651: unless ($label) {
652: $label='R'.$Apache::functionplotresponse::counter;
653: } else {
654: $label='R'.$label;
655: }
656: if ($Apache::functionplotresponse::splineorder{$label}) {
657: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
658: }
659:
660:
661: if ($target eq 'grade') {
662: # Simply remember - in order - for later
663: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
664: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
665: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
666: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
667: }
668: $beginninglabel=~s/\W//gs;
669: $endinglabel=~s/\W//gs;
670: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
671: $relationship=~s/\W//gs;
672: $relationship=lc($relationship);
673: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
674: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
675: $relationship='eq';
676: }
677: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
678: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
679: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
680: $derivative=0;
681: }
682: push(@Apache::functionplotresponse::functionplotrules,join(':',(
683: $label,
684: $derivative,
685: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
686: $beginninglabel,
687: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
688: $endinglabel,
689: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
690: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
691: $relationship,
692: &Apache::lonxml::get_param('value',$parstack,$safeeval),
693: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
694: )));
695: } elsif ($target eq 'edit') {
696: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
697: &Apache::edit::text_arg('Index/Name:','index',
698: $token,'10').' '.
699: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
700: [['0','Function itself'],
701: ['1','First derivative'],
702: ['2','Second derivative'],
703: ['-1','Integral']],$token).'<br />'.
704: &Apache::edit::text_arg('Initial x-value:','xinitial',
705: $token,'8').
706: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
707: [['start','Start of Plot'],
708: ['end','End of Plot']],$token,'8').'<br />'.
709:
710: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
711: $token,'8').
712: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
713: [['end','End of Plot']],$token,'8').'<br />'.
714: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
715: $token,'8').
716: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
717: $token,'8').'<br />'.
718: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
719: [['eq','equal'],
720: ['ne','not equal'],
721: ['ge','greater than or equal'],
722: ['gt','greater than'],
723: ['lt','less than'],
724: ['le','less than or equal']],$token).
725: $result.= &Apache::edit::select_or_text_arg('Value:','value',
726: [['undef','not defined']],$token,'30').
727: &Apache::edit::text_arg('Percent error:','percenterror',
728: $token,'8').
729: &Apache::edit::end_row();
730: } elsif ($target eq 'modified') {
731: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
732: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
733: }
734: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
735: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
736: }
737: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
738: $safeeval,'index','derivativeorder',
739: 'xinitial','xinitiallabel','xfinal','xfinallabel',
740: 'minimumlength','maximumlength',
741: 'relationship','value','percenterror');
742: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
743: }
744: return $result;
745: }
746:
747: sub end_functionplotrule {
748: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
749: my $result='';
750: if ($target eq 'edit') {
751: $result=&Apache::edit::end_table();
752: }
753: return $result;
754: }
755:
756:
757: #
758: # <functionplotvectorrule ... />
759: #
760: sub start_functionplotvectorrule {
761: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
762: my $result='';
763: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
764: $Apache::functionplotresponse::counter++;
765: if ($label=~/\W/) {
766: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
767: }
768: $label=~s/\W//gs;
769: unless ($label) {
770: $label='V'.$Apache::functionplotresponse::counter;
771: } else {
772: $label='V'.$label;
773: }
774: if ($Apache::functionplotresponse::splineorder{$label}) {
775: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
776: }
777:
778: if ($target eq 'grade') {
779: # Simply remember - in order - for later
780: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
781: $vector=~s/\W//gs;
782: $vector=ucfirst($vector);
783: my $tailpoint=&Apache::lonxml::get_param('tailpoint',$parstack,$safeeval);
784: $tailpoint=~s/\W//gs;
785: $tailpoint=ucfirst($tailpoint);
786: my $tippoint=&Apache::lonxml::get_param('tippoint',$parstack,$safeeval);
787: $tippoint=~s/\W//gs;
788: $tippoint=ucfirst($tippoint);
789:
790: my $nottailpoint=&Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval);
791: $nottailpoint=~s/\W//gs;
792: $nottailpoint=ucfirst($nottailpoint);
793: my $nottippoint=&Apache::lonxml::get_param('nottippoint',$parstack,$safeeval);
794: $nottippoint=~s/\W//gs;
795: $nottippoint=ucfirst($nottippoint);
796:
797: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
798: $label,
799: $vector,
800: $tailpoint,
801: $tippoint,
802: $nottailpoint,
803: $nottippoint,
804: &Apache::lonxml::get_param('length',$parstack,$safeeval),
805: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
806: &Apache::lonxml::get_param('lengthpercenterror',$parstack,$safeeval),
807: &Apache::lonxml::get_param('anglepercenterror',$parstack,$safeeval),
808: )));
809: } elsif ($target eq 'edit') {
810: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
811: &Apache::edit::text_arg('Index/Name:','index',
812: $token,'10').' '.
813: &Apache::edit::text_arg('Vector:','vector',
814: $token,'16').'<br />'.
815: &Apache::edit::text_arg('Tail attached to object:','tailpoint',
816: $token,'16').
817: &Apache::edit::text_arg('Tip attached to object:','tippoint',
818: $token,'16').
819: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
820: $token,'16').
821: &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
822: $token,'16').'<br />'.
823: &Apache::edit::text_arg('Length:','length',
824: $token,'16').
825: &Apache::edit::text_arg('Angle:','angle',
826: $token,'16').
827: &Apache::edit::text_arg('Percent error length:','lengthpercenterror',
828: $token,'8').
829: &Apache::edit::text_arg('Percent error angle:','anglepercenterror',
830: $token,'8').
831: &Apache::edit::end_row();
832: } elsif ($target eq 'modified') {
833: $env{'form.'.&Apache::edit::html_element_name('vector')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
834: $env{'form.'.&Apache::edit::html_element_name('tailpoint')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('tailpoint')});
835: $env{'form.'.&Apache::edit::html_element_name('tippoint')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('tippoint')});
836: $env{'form.'.&Apache::edit::html_element_name('nottailpoint')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('nottailpoint')});
837: $env{'form.'.&Apache::edit::html_element_name('nottippoint')}=lcfirst($env{'form.'.&Apache::edit::html_element_name('nottippoint')});
838: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
839: $safeeval,'index','vector',
840: 'tailpoint','tippoint','nottailpoint','nottipoint',
841: 'length','angle',
842: 'lengthpercenterror','anglepercenterror');
843: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
844: }
845: return $result;
846: }
847:
848: sub end_functionplotvectorrule {
849: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
850: my $result='';
851: if ($target eq 'edit') {
852: $result=&Apache::edit::end_table();
853: }
854: return $result;
855: }
856:
857:
858:
859: #
860: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
861: #
862: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
863: #
864: sub start_spline {
865: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
866: my $result='';
867: if ($target eq 'web') {
868: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
869: $Apache::functionplotresponse::counter++;
870: if ($label=~/\W/) {
871: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
872: }
873: $label=~s/\W//gs;
874: unless ($label) {
875: $label='S'.$Apache::functionplotresponse::counter;
876: } else {
877: $label='S'.$label;
878: }
879: if ($Apache::functionplotresponse::splineorder{$label}) {
880: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
881: }
882:
883: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
884: if ($order<2) { $order=2; }
885: if ($order>8) { $order=8; }
886: $Apache::functionplotresponse::splineorder{$label}=$order;
887:
888: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
889: unless ($x) { $x=0; }
890: $Apache::functionplotresponse::splineinitx{$label}=$x;
891:
892: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
893: unless ($y) { $y=0; }
894: $Apache::functionplotresponse::splineinity{$label}=$y;
895:
896: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
897: unless ($sx) { $sx=$order; }
898: $Apache::functionplotresponse::splinescalex{$label}=$sx;
899:
900: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
901: unless ($sy) { $sy=2; }
902: $Apache::functionplotresponse::splinescaley{$label}=$sy;
903: } elsif ($target eq 'edit') {
904: $result=&Apache::edit::tag_start($target,$token,'Spline').
905: &Apache::edit::text_arg('Index:','index',
906: $token,'4').' '.
907: &Apache::edit::select_arg('Order:','order',
908: ['2','3','4','5','6','7','8'],$token).' '.
909: &Apache::edit::text_arg('Initial x-value:','initx',
910: $token,'4').' '.
911: &Apache::edit::text_arg('Initial y-value:','inity',
912: $token,'4').' '.
913: &Apache::edit::text_arg('Scale x:','scalex',
914: $token,'4').' '.
915: &Apache::edit::text_arg('Scale y:','scaley',
916: $token,'4').
917: &Apache::edit::end_row();
918: } elsif ($target eq 'modified') {
919: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
920: $safeeval,'index','order','initx','inity',
921: 'scalex','scaley');
922: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
923: }
924: return $result;
925: }
926:
927: sub end_spline {
928: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
929: my $result='';
930: if ($target eq 'edit') {
931: $result=&Apache::edit::end_table();
932: }
933: return $result;
934: }
935:
936: sub end_init_script {
937: return (<<ENDENDINIT);
938: }
939: // ]]>
940: </script>
941: ENDENDINIT
942: }
943:
944: #
945: # Storing and restoring spline coordinates from part answers
946: #
947: sub decode_previous_answer {
948: my ($answer)=@_;
949: foreach my $coordinate (split(/\,/,$answer)) {
950: my ($key,$value)=split(/\=/,$coordinate);
951: $Apache::functionplotresponse::previous{$key}=$value;
952: }
953: }
954:
955: sub get_answer_from_form_fields {
956: my ($id)=@_;
957: my $answer='';
958: my %coords=();
959: foreach my $field (keys(%env)) {
960: if ($field=~/^form\.HWVAL\_$id/) {
961: $field=~/^form\.(.*)$/;
962: $coords{$1}=$env{$field};
963: }
964: }
965: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
966: return ($answer,%coords);
967: }
968:
969: #
970: # The following functions calculate the cubic-hermite splines server-side
971: #
972:
973: sub cubic_hermite {
974: my ($t,$p1,$s1,$p2,$s2)=@_;
975: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
976: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
977: }
978:
979: #
980: # d/dt(...)
981: #
982:
983: sub ddt_cubic_hermite {
984: my ($t,$p1,$s1,$p2,$s2)=@_;
985: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
986: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
987: }
988:
989: #
990: # d^2/dt^2(...)
991: #
992:
993: sub d2dt2_cubic_hermite {
994: my ($t,$p1,$s1,$p2,$s2)=@_;
995: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
996: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
997: }
998:
999: #
1000: # Array index calculation
1001: #
1002: sub array_index {
1003: my ($xmin,$xmax,$x)=@_;
1004: if ($x ne '') {
1005: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1006: } else {
1007: return undef;
1008: }
1009: }
1010:
1011: #
1012: # Populate the arrays
1013: #
1014:
1015: sub populate_arrays {
1016: my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1017: for (my $i=0; $i<=400; $i++) {
1018: $Apache::functionplotresponse::actualxval[$i]=undef;
1019: $Apache::functionplotresponse::func[$i]=undef;
1020: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1021: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1022: }
1023: unless ($xmax>$xmin) { return 'no_func'; }
1024: # Run over all splines in response
1025: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1026: my $xiold=-1;
1027: # Run over all points in spline
1028: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1029: my $ni=$i+1;
1030: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
1031: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
1032: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
1033: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
1034: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
1035: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
1036: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
1037: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
1038: # Run in small steps over spline parameter
1039: for (my $t=0; $t<=1; $t+=0.0001) {
1040: my $xreal=&cubic_hermite($t,@xparms);
1041: my $xi=&array_index($xmin,$xmax,$xreal);
1042: if ($xi<$xiold) { return 'no_func'; }
1043: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1044: $xiold=$xi;
1045: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1046: # Function value
1047: my $funcval=&cubic_hermite($t,@yparms);
1048:
1049: # Do we already have a value for this point, and is it different from the new one?
1050: if ((defined($Apache::functionplotresponse::func[$xi])) &&
1051: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) {
1052: return 'no_func';
1053: }
1054: # Okay, remember the new point
1055: $Apache::functionplotresponse::func[$xi]=$funcval;
1056:
1057: if (defined($funcval)) {
1058: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
1059: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
1060: }
1061: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
1062: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
1063: }
1064: }
1065: # Chain rule
1066: # dy/dx=dy/dt/(dx/dt)
1067: my $dxdt=&ddt_cubic_hermite($t,@xparms);
1068: if ($dxdt) {
1069: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1070: # Second derivative
1071: $Apache::functionplotresponse::d2funcdx2[$xi]=
1072: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
1073: ($dxdt*$dxdt*$dxdt);
1074: }
1075: }
1076: }
1077: }
1078: }
1079: }
1080:
1081: #
1082: # Implementation of <functionplotresponse>
1083: #
1084:
1085: sub start_functionplotresponse {
1086: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1087: my $result='';
1088: # To remember the splines - somehow, they need to come last
1089: undef %Apache::functionplotresponse::splineorder;
1090: undef %Apache::functionplotresponse::splineinitx;
1091: undef %Apache::functionplotresponse::splineinity;
1092: undef %Apache::functionplotresponse::splinescalex;
1093: undef %Apache::functionplotresponse::splinescaley;
1094: # Remember input fields, etc
1095: undef %Apache::functionplotresponse::previous;
1096: $Apache::functionplotresponse::inputfields='';
1097: $Apache::functionplotresponse::counter=0;
1098: # Remember rules
1099: undef @Apache::functionplotresponse::functionplotrules;
1100: undef @Apache::functionplotresponse::functionplotvectorrules;
1101: # Remember failed rules
1102: if ($target eq 'grade') {
1103: undef @Apache::functionplotresponse::failedrules;
1104: }
1105: # Delete previous awards
1106: undef $Apache::functionplotresponse::awarddetail;
1107: # Part and ID
1108: my $partid=$Apache::inputtags::part;
1109: my $id=&Apache::response::start_response($parstack,$safeeval);
1110: # Internal ID to mark the applet and its coordinates
1111: my $internalid = $partid.'_'.$id;
1112: # Previous answer
1113: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
1114:
1115: # Parameters of <functionplotresponse>
1116: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1117: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1118: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1119: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1120: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
1121: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1122: if ($target eq 'edit') {
1123: $result.=&Apache::edit::start_table($token)
1124: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
1125: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1126: .&Apache::edit::deletelist($target,$token).' '
1127: .&Apache::edit::insertlist($target,$token).' '
1128: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1129: .'</span></td>'
1130: ."<td> "
1131: .&Apache::edit::end_row()
1132: .&Apache::edit::start_spanning_row()
1133: ."\n";
1134: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
1135: $token,'6').' '.
1136: &Apache::edit::text_arg('Minimum x-value:','xmin',
1137: $token,'4').' '.
1138: &Apache::edit::text_arg('Maximum x-value:','xmax',
1139: $token,'4').' '.
1140: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1141: ['yes','no'],$token).'<br />'.
1142: &Apache::edit::text_arg('Label y-axis:','ylabel',
1143: $token,'6').' '.
1144: &Apache::edit::text_arg('Minimum y-value:','ymin',
1145: $token,'4').' '.
1146: &Apache::edit::text_arg('Maximum y-value:','ymax',
1147: $token,'4').' '.
1148: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1149: ['yes','no'],$token).'<br />'.
1150: &Apache::edit::select_arg('Grid visible:','gridvisible',
1151: ['yes','no'],$token).'<br />'.
1152: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1153: 'answerdisplay',$token,'50').
1154: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
1155: } elsif ($target eq 'modified') {
1156: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1157: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1158: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1159: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1160:
1161: } elsif ($target eq 'meta') {
1162: $result=&Apache::response::meta_package_write('functionplotresponse');
1163: } elsif (($target eq 'answer') &&
1164: ($env{'form.answer_output_mode'} ne 'tex') &&
1165: ($Apache::lonhomework::viewgrades == 'F')) {
1166: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
1167: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
1168: my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
1169: {'only_body' => 1,
1170: 'bgcolor' => '#FFFFFF',
1171: 'js_ready' => 1,});
1172: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
1173: $uname =~s/\W//g;
1174: $udom =~s/\W//g;
1175: my $function_name =
1176: join('_','LONCAPA_scriptvars',$uname,$udom,
1177: $env{'form.counter'},$Apache::lonxml::curdepth);
1178: my $rules_var ="<script type=\"text/javascript\">
1179: // <![CDATA[
1180: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
1181: $Apache::functionplotresponse::ruleslog.
1182: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
1183: // ]]>
1184: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
1185: &Apache::lonxml::add_script_result($rules_var);
1186: }
1187:
1188: return $result;
1189: }
1190:
1191: sub compare_rel {
1192: my ($relationship,$value,$realval,$tol)=@_;
1193: # is the real value undefined?
1194: unless (defined($realval)) {
1195: # the real value is not defined
1196: if ($relationship eq 'eq') {
1197: if ($value eq 'undef') {
1198: return 1;
1199: } else {
1200: return 0;
1201: }
1202: } elsif ($relationship eq 'ne') {
1203: if ($value eq 'undef') {
1204: return 0;
1205: } else {
1206: return 1;
1207: }
1208: } else {
1209: return 0;
1210: }
1211: }
1212:
1213: # is the expected value undefined?
1214: if ($value eq 'undef') {
1215: # but by now we know that the real value is defined
1216: return 0;
1217: }
1218:
1219: # both are defined.
1220: if ($relationship eq 'gt') {
1221: return ($realval>$value);
1222: } elsif ($relationship eq 'ge') {
1223: return ($realval>$value-$tol);
1224: } elsif ($relationship eq 'lt') {
1225: return ($realval<$value);
1226: } elsif ($relationship eq 'le') {
1227: return ($realval<$value+$tol);
1228: } elsif ($relationship eq 'ne') {
1229: return (abs($value-$realval)>$tol);
1230: } else {
1231: return (abs($value-$realval)<$tol);
1232: }
1233: return 0;
1234: }
1235:
1236: sub addlog {
1237: my ($text)=@_;
1238: $text=~s/\'/\\\'/g;
1239: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
1240: }
1241:
1242: sub actualval {
1243: my ($i,$xmin,$xmax)=@_;
1244: return $xmin+$i/400.*($xmax-$xmin);
1245: }
1246:
1247: sub fpr_val {
1248: my ($arg)=@_;
1249: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
1250: $Apache::functionplotresponse::fpr_xmin,
1251: $Apache::functionplotresponse::fpr_xmax);
1252: }
1253:
1254: sub fpr_f {
1255: my ($arg)=@_;
1256: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
1257: $Apache::functionplotresponse::fpr_xmax,
1258: $arg)];
1259: }
1260:
1261: sub fpr_dfdx {
1262: my ($arg)=@_;
1263: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
1264: $Apache::functionplotresponse::fpr_xmax,
1265: $arg)];
1266: }
1267:
1268: sub fpr_d2fdx2 {
1269: my ($arg)=@_;
1270: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
1271: $Apache::functionplotresponse::fpr_xmax,
1272: $arg)];
1273: }
1274:
1275: sub functionplotrulecheck {
1276: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1277:
1278: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1279: =split(/\:/,$rule);
1280: $percent=($percent>0?$percent:5);
1281: &addlog("=================");
1282: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1283: #
1284: # Evaluate the value
1285: #
1286: if ($value=~/\D/) {
1287: $Apache::functionplotresponse::fpr_xmin=$xmin;
1288: $Apache::functionplotresponse::fpr_xmax=$xmax;
1289: $value=&Apache::run::run($value,$safeeval);
1290: &addlog("Value evaluated to $value");
1291: }
1292:
1293: #
1294: # Minimum and maximum lengths of the interval
1295: #
1296: if ((defined($minimumlength)) || (defined($maximumlength))) {
1297: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
1298: }
1299: my $li=0;
1300: my $lh=400;
1301:
1302: # Special case: the upper boundary was not defined
1303: # and needs to be set to the value where
1304: # the condition is not true anymore => set flag
1305:
1306: my $findupper=0;
1307: if (($xfinal eq '')
1308: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
1309: && ($xfinallabel)) {
1310: $findupper=1;
1311: }
1312:
1313: # if a hard value is set for the boundaries, it overrides the label
1314: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
1315: $li=&array_index($xmin,$xmax,$xinitial);
1316: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
1317: }
1318: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
1319: $lh=&array_index($xmin,$xmax,$xfinal);
1320: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1321: }
1322: # if the label is defined, use it
1323: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1324: &addlog("Using lower label $xinitiallabel");
1325: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
1326: } else {
1327: $li=&array_index($xmin,$xmax,$xinitial);
1328: }
1329: unless ($findupper) {
1330: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1331: &addlog("Using upper label $xfinallabel");
1332: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1333: } else {
1334: $lh=&array_index($xmin,$xmax,$xfinal);
1335: }
1336: }
1337: # Basic sanity checks
1338: if ($li<0) { $li=0; }
1339: if ($lh>400) { $lh=400; }
1340: if (($li>$lh) || (!defined($lh))) {
1341: $lh=$li;
1342: }
1343:
1344: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
1345: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
1346: if ($findupper) {
1347: &addlog("Looking for label $xfinallabel");
1348: }
1349: my $tol=$percent*($ymax-$ymin)/100;
1350: if ($xmax>$xmin) {
1351: if ($derivative==2) {
1352: $tol=4.*$tol/($xmax-$xmin);
1353: } elsif ($derivative==1) {
1354: $tol=2.*$tol/($xmax-$xmin);
1355: } elsif ($derivative==-1) {
1356: $tol=$tol*($xmax-$xmin)/2.;
1357: }
1358: }
1359: my $integral=0;
1360: my $binwidth=($xmax-$xmin)/400.;
1361: if (($derivative<0) && (!$findupper)) {
1362: # definite integral, calculate over whole length
1363: &addlog("Calculating definite integral");
1364: for (my $i=$li; $i<=$lh; $i++) {
1365: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1366: }
1367: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1368: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1369: &addlog("Rule $label failed.");
1370: my $hintlabel=$label;
1371: $hintlabel=~s/^R//;
1372: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1373: &addlog("Set hint condition $hintlabel");
1374: return 0;
1375: }
1376: } else {
1377: for (my $i=$li; $i<=$lh; $i++) {
1378: my $val;
1379: if ($derivative==2) {
1380: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1381: } elsif ($derivative==1) {
1382: $val=$Apache::functionplotresponse::dfuncdx[$i];
1383: } elsif ($derivative==-1) {
1384: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1385: $val=$integral;
1386: } else {
1387: $val=$Apache::functionplotresponse::func[$i];
1388: }
1389: unless (&compare_rel($relationship,$value,$val,$tol)) {
1390: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1391: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1392: if (($findupper) && ($i>$li)) {
1393: # Check lengths
1394: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1395: # Successfully found a new label, set it
1396: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1397: &addlog("Rule $label passed, setting label $xfinallabel");
1398: return 1;
1399: } else {
1400: &addlog("Rule $label failed.");
1401: &setfailed($label);
1402: return 0;
1403: }
1404: }
1405: }
1406: }
1407: # Corner case where this makes sense: using start or stop as defined labels
1408: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1409: &addlog("Rule $label passed.");
1410: return 1;
1411: }
1412:
1413: #
1414: # check for minimum and maximum lengths
1415: #
1416:
1417: sub checklength {
1418: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
1419: unless (($minimumlength) || ($maximumlength)) { return 1; }
1420: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
1421: if ($minimumlength) {
1422: if ($length<$minimumlength) {
1423: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
1424: &setfailed($label);
1425: return 0;
1426: }
1427: }
1428: if ($maximumlength) {
1429: if ($length>$maximumlength) {
1430: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
1431: &setfailed($label);
1432: return 0;
1433: }
1434: }
1435: return 1;
1436: }
1437:
1438: sub setfailed {
1439: my ($label)=@_;
1440: my $hintlabel=$label;
1441: $hintlabel=~s/^R//;
1442: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1443: &addlog("Set hint condition $hintlabel");
1444: }
1445:
1446: sub start_functionplotruleset {
1447: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1448: if ($target eq 'edit') {
1449: return &Apache::edit::start_table($token).
1450: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
1451: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1452: .&Apache::edit::deletelist($target,$token).' '.
1453: &Apache::edit::insertlist($target,$token).' '
1454: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
1455: .'</span></td>'
1456: ."<td> "
1457: .&Apache::edit::end_row()
1458: .&Apache::edit::start_spanning_row()
1459: ."\n";
1460: }
1461: }
1462:
1463: sub end_functionplotruleset {
1464: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1465: my $id=$Apache::inputtags::response[-1];
1466: my $partid=$Apache::inputtags::part;
1467: my $internalid = $partid.'_'.$id;
1468:
1469: if ($target eq 'edit' ) {
1470: return &Apache::edit::end_table();
1471: } elsif ($target eq 'grade'
1472: && &Apache::response::submitted()
1473: && $Apache::lonhomework::type ne 'exam') {
1474: #
1475: # Actually grade
1476: #
1477: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1478:
1479: my $ad='';
1480: undef %Apache::functionplotresponse::functionplotrulelabels;
1481: $Apache::functionplotresponse::ruleslog='';
1482: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
1483: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1484: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
1485: $ad='NOT_FUNCTION';
1486: } else {
1487: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
1488: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
1489: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
1490: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
1491:
1492: # We have a function that we can actually grade, go through the spline rules.
1493: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1494: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
1495: $ad='INCORRECT';
1496: last;
1497: }
1498: }
1499: # If it's not wrong, it's correct
1500: unless ($ad) { $ad='EXACT_ANS' };
1501: }
1502: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
1503: &addlog("Assigned award detail: $ad");
1504: # Store for later to be assigned at end_functionplotresponse
1505: $Apache::functionplotresponse::awarddetail=$ad;
1506: }
1507: }
1508:
1509:
1510: sub end_functionplotresponse {
1511: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1512: &Apache::response::end_response;
1513:
1514: my $result;
1515: my $id=$Apache::inputtags::response[-1];
1516: my $partid=$Apache::inputtags::part;
1517: my $internalid = $partid.'_'.$id;
1518:
1519: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1520: if ($target eq 'grade'
1521: && &Apache::response::submitted()
1522: && $Apache::lonhomework::type eq 'exam') {
1523:
1524: &Apache::response::scored_response($partid,$id);
1525:
1526: } elsif ($target eq 'grade'
1527: && &Apache::response::submitted()
1528: && $Apache::lonhomework::type ne 'exam') {
1529: my ($response,%coords)=&get_answer_from_form_fields($internalid);
1530: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1531: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
1532: #
1533: # Assign grade
1534: #
1535: my $ad=$Apache::functionplotresponse::awarddetail;
1536: #
1537: # Store grading info
1538: #
1539: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
1540: &Apache::response::handle_previous(\%previous,$ad);
1541: } elsif ($target eq 'web') {
1542: undef @Apache::functionplotresponse::failedrules;
1543: }
1544: return $result;
1545: }
1546:
1547: sub end_functionplotelements {
1548: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1549: my $result='';
1550: my $id=$Apache::inputtags::response[-1];
1551: my $partid=$Apache::inputtags::part;
1552: my $internalid = $partid.'_'.$id;
1553: if ($target eq 'edit' ) {
1554: $result=&Apache::edit::end_table();
1555: } elsif ($target eq 'web') {
1556: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1557:
1558: # Are we in show answer mode?
1559: my $showanswer=&Apache::response::show_answer();
1560: if ($showanswer) {
1561: # Render answerdisplay
1562: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
1563: if ($answerdisplay=~/\S/s) {
1564: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
1565: my @components=split(/\s*\:\s*/,$plot);
1566: if ($#components<3) {
1567: # Just a simple plot
1568: my ($func,$xl,$xh)=@components;
1569: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
1570: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
1571: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
1572: } else {
1573: # This is a spline
1574: $result.=&answer_spline_script($internalid,@components);
1575: }
1576: }
1577: }
1578: }
1579: my $fixed=0;
1580: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
1581: # Now is the time to render all of the stored splines
1582: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1583: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
1584: }
1585: # close the init script
1586: $result.=&end_init_script();
1587: # register all splines in this response
1588: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
1589: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
1590: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1591: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
1592: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
1593: }
1594: # generate the input fields
1595: $result.=$Apache::functionplotresponse::inputfields;
1596: # actually start the <applet>-tag
1597: $result.=&geogebra_startcode($internalid);
1598: # load the spline bytecode
1599: $result.=&geogebra_spline_program();
1600: # set default parameters
1601: $result.=&geogebra_default_parameters($internalid);
1602: # close the <applet>-tag
1603: $result.=&geogebra_endcode();
1604: }
1605: return $result;
1606: }
1607:
1608: sub boundaries {
1609: my ($parstack,$safeeval,$level)=@_;
1610: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
1611: $xmin=(defined($xmin)?$xmin:-10);
1612: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
1613: $xmax=(defined($xmax)?$xmax:10);
1614: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
1615: $ymin=(defined($ymin)?$ymin:-10);
1616: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
1617: $ymax=(defined($ymax)?$ymax:10);
1618: if ($xmax<=$xmin) {
1619: $xmax=$xmin+20;
1620: }
1621: if ($ymax<=$ymin) {
1622: $ymax=$ymin+20;
1623: }
1624: return ($xmin,$xmax,$ymin,$ymax);
1625: }
1626:
1627: sub start_functionplotelements {
1628: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1629: my $result='';
1630: my $id=$Apache::inputtags::response[-1];
1631: my $partid=$Apache::inputtags::part;
1632: my $internalid = $partid.'_'.$id;
1633:
1634: if ($target eq 'edit') {
1635: return &Apache::edit::start_table($token).
1636: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
1637: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1638: .&Apache::edit::deletelist($target,$token).' '.
1639: &Apache::edit::insertlist($target,$token).' '
1640: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
1641: .'</span></td>'
1642: ."<td> "
1643: .&Apache::edit::end_row()
1644: .&Apache::edit::start_spanning_row()
1645: ."\n";
1646: } elsif ($target eq 'web') {
1647: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1648: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1649: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1650: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1651: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
1652: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
1653:
1654:
1655: # paste in the update routine to receive stuff back from the applet
1656: $result.=&update_script($internalid);
1657: # start the initscript for this applet
1658: $result.=&start_init_script($internalid);
1659: # put the axis commands inside
1660: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1661: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
1662: # init script is left open
1663: }
1664: return $result;
1665: }
1666:
1667: 1;
1668:
1669: __END__
1670:
1671: =head1 NAME
1672:
1673: Apache::functionplotresponse.pm;
1674:
1675: =head1 SYNOPSIS
1676:
1677: Handles tags associated with accepting function plots.
1678:
1679: This is part of the LearningOnline Network with CAPA project
1680: described at http://www.lon-capa.org.
1681:
1682: =head1 HANDLER SUBROUTINE
1683:
1684: start_functionplotresponse()
1685:
1686: =head1 OTHER SUBROUTINES
1687:
1688: =over
1689:
1690: =item end_functionplotresponse()
1691:
1692: =back
1693:
1694: =cut
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