loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
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Fri Aug 17 22:51:59 2012 UTC (11 years, 9 months ago) by www
Branches: MAIN
CVS tags: HEAD

Installing the HTML5 version of GeoGebra.

1: # LearningOnline Network with CAPA 2: # Functionplot responses 3: # 4: # $Id: functionplotresponse.pm,v 1.100 2012/08/17 22:51:59 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: use LONCAPA; 36: 37: BEGIN { 38: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline', 39: 'plotobject','plotvector', 40: 'functionplotvectorrule','functionplotvectorsumrule', 41: 'drawvectorsum', 42: 'functionplotcustomrule', 43: 'functionplotrule','functionplotruleset', 44: 'functionplotelements')); 45: } 46: 47: # 48: # Use old Java or HTML5/Javascript for GeoGebra? Depends on browser! 49: # Return a true value if HTML5 should be used. 50: 51: sub useHTML5 { 52: if ($env{'browser.type'} eq 'chrome') { return 1; } 53: if (($env{'browser.type'} eq 'safari') && 54: ($env{'browser.os'} eq 'mac')) { return 1; } 55: return 0; 56: } 57: 58: # 59: # HTML5 version does not understand "_" in IDs 60: # 61: sub appid { 62: my ($id)=@_; 63: $id=~s/\_/rid/gs; 64: $id=~s/\W//gs; 65: return $id; 66: } 67: 68: # 69: # Routines to start the applet (Java) or the HTML5/JavaScript 70: # 71: # There can be a number of applets on a page, each called ggbApplet_$id, 72: # where $id is the "_"-concatenated part and responseid 73: # 74: 75: sub geogebra_startcode { 76: my ($id,$width,$height)=@_; 77: if (&useHTML5()) { 78: return &html5_geogebra_startcode(@_); 79: } else { 80: return &java_geogebra_startcode(@_). 81: &java_geogebra_code_param(); 82: } 83: } 84: 85: sub geogebra_endcode { 86: if (&useHTML5()) { 87: return ''; 88: } else { 89: return &java_geogebra_endcode(); 90: } 91: } 92: 93: sub geogebra_default_parameters { 94: my ($id)=@_; 95: if (&useHTML5()) { 96: return ''; 97: } else { 98: return &java_geogebra_default_parameters($id); 99: } 100: } 101: # === Java code 102: 103: sub java_geogebra_startcode { 104: my ($id,$width,$height)=@_; 105: my $appid=&appid($id); 106: $width=int(1.*$width); 107: $height=int(1.*$height); 108: unless ($width) { $width=700; } 109: unless ($height) { $height=400; } 110: return (<<ENDSTARTCODE); 111: <applet name="ggbApplet$appid" code="geogebra.GeoGebraApplet" archive="geogebra.jar" 112: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT> 113: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/> 114: ENDSTARTCODE 115: } 116: 117: sub java_geogebra_endcode { 118: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n"; 119: } 120: 121: sub java_geogebra_code_param { 122: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />'; 123: } 124: 125: # === HTML5 code 126: 127: sub html5_geogebra_startcode { 128: my ($id,$width,$height)=@_; 129: my $appid=&appid($id); 130: $width=int(1.*$width); 131: $height=int(1.*$height); 132: unless ($width) { $width=700; } 133: unless ($height) { $height=400; } 134: my $code=&geogebra_internal_program(); 135: return (<<ENDSTARTCODE); 136: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false" 137: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet$appid" 138: data-param-ggbbase64="$code"></article> 139: ENDSTARTCODE 140: } 141: 142: # 143: # This is the internal GeoGebra bytecode which defines the spline functions 144: # 145: sub geogebra_internal_program { 146: return 147: '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/DCj2tkwV1FA5uPHRUGDRvWr9RMuyShIMa1bqzjsLH2eIibntNVyl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148: } 149: 150: # 151: # The standard set of parameters inside <applet> 152: # 153: sub java_geogebra_default_parameters { 154: my ($id)=@_; 155: my $appid=&appid($id); 156: return(<<ENDDEFAULTPARAMETERS); 157: <param name="image" value="/adm/lonIcons/lonanim.gif" /> 158: <param name="boxborder" value="false" /> 159: <param name="centerimage" value="true" /> 160: <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" /> 161: <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" /> 162: <param name="framePossible" value="false" /> 163: 164: <param name="showResetIcon" value="false" /> 165: <param name="showAnimationButton" value="false" /> 166: <param name="enableRightClick" value="false" /> 167: <param name="errorDialogsActive" value="true" /> 168: <param name="enableLabelDrags" value="false" /> 169: <param name="showMenuBar" value="false" /> 170: <param name="showToolBar" value="false" /> 171: <param name="showToolBarHelp" value="false" /> 172: <param name="showAlgebraInput" value="false" /> 173: <param name="enableShiftDragZoom" value="false" /> 174: <param name="allowRescaling" value="false" /> 175: <param name="enableLabelDrags" value="false" /> 176: <param name="ggbOnInitParam" value="ggbApplet$appid" /> 177: ENDDEFAULTPARAMETERS 178: } 179: 180: # 181: # This subroutine is called by LON-CAPA at </problem> 182: # Each applet on the page will call function ggbOnInit when it is done loading 183: # This function in turn will call the respective function registered by start_init_script 184: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit 185: # 186: 187: sub init_script { 188: if ($#Apache::functionplotresponse::callscripts>=0) { 189: my $script=''; 190: foreach my $id (@Apache::functionplotresponse::callscripts) { 191: $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n"; 192: } 193: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). 194: ") { setTimeout('ggbInitAll()',200) }"; 195: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 196: my $html5init=''; 197: if (&useHTML5()) { 198: $html5init= 199: '<script type="text/javascript" language="javascript" src="/adm/geogebra/web/web.nocache.js"></script>'; 200: } 201: return (<<ENDGGBINIT); 202: $html5init 203: <script type="text/javascript"> 204: // <![CDATA[ 205: // Function that each applet will call when loaded 206: // It will pass "its" parameter 207: // Set flags for when an applet is loaded, wait till all are loaded, and then some 208: function ggbOnInit(param) { 209: $script 210: } 211: function ggbInitAll() { 212: $calls 213: } 214: // ]]> 215: </script> 216: ENDGGBINIT 217: } 218: } 219: 220: # 221: # Each Geogebra applet is supposed to call this when parameters change 222: # Changes the hidden fields on the web page 223: # 224: sub update_script { 225: my ($id)=@_; 226: my $appid=&appid($id); 227: return (<<ENDUPDATESCRIPT); 228: <script type="text/javascript"> 229: // <![CDATA[ 230: function updatePointCoordinates_$id(coordinateName) { 231: var x = document.ggbApplet$appid.getXcoord(coordinateName); 232: var y = document.ggbApplet$appid.getYcoord(coordinateName); 233: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x; 234: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y; 235: } 236: // ]]> 237: </script> 238: ENDUPDATESCRIPT 239: } 240: 241: # 242: # Register the above update-handler for a variable 243: # 244: 245: sub update_register { 246: my ($id,$variable)=@_; 247: my $appid=&appid($id); 248: return "document.ggbApplet$appid.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; 249: } 250: 251: # 252: # Set a point coordinate variable 253: # 254: sub set_point_coordinate { 255: my ($id,$variable,$x,$y,$fixed)=@_; 256: my $appid=&appid($id); 257: my $mult=($fixed?'a*':''); 258: # Get rid of wild exponents, make sure it's a number 259: $x=1.*$x; 260: $y=1.*$y; 261: # GeoGebra does not understand "E" 262: $x=~s/[e|E]/\*10\^/; 263: $x=~s/\+//; 264: $y=~s/[e|E]/\*10\^/; 265: $y=~s/\+//; 266: return (<<ENDSETVARIABLE); 267: document.ggbApplet$appid.evalCommand("a=1"); 268: document.ggbApplet$appid.evalCommand("$variable=$mult($x,$y)"); 269: document.ggbApplet$appid.setLabelVisible("$variable",false); 270: ENDSETVARIABLE 271: } 272: 273: # 274: # Set a slope coordinate variable 275: # 276: sub set_slope_coordinate { 277: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_; 278: my $appid=&appid($id); 279: my $xvariable=$variable.'x'; 280: my $yvariable=$variable.'y'; 281: my $domain=$xmax-$xmin; 282: my $range=$ymax-$ymin; 283: my $xinterval=$domain/100.; 284: my $yinterval=$range/200.; 285: my $mult=($fixed?'a*':''); 286: return (<<ENDSETSVARIABLE); 287: document.ggbApplet$appid.evalCommand("a=1"); 288: document.ggbApplet$appid.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]"); 289: document.ggbApplet$appid.setVisible("$xvariable", false); 290: document.ggbApplet$appid.evalCommand("$xvariable=$xrel"); 291: document.ggbApplet$appid.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]"); 292: document.ggbApplet$appid.setVisible("$yvariable", false); 293: document.ggbApplet$appid.evalCommand("$yvariable=$yrel"); 294: document.ggbApplet$appid.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))"); 295: document.ggbApplet$appid.setLabelVisible("$variable", false); 296: ENDSETSVARIABLE 297: } 298: 299: # 300: # Input field name for a coordinate variable 301: # 302: 303: sub field_name { 304: my ($id,$variable,$name)=@_; 305: return "HWVAL_$id\_$variable\_$name"; 306: } 307: 308: # 309: # Generate an input field for a coordinate variable 310: # 311: 312: sub generate_input_field { 313: my ($id,$variable,$x,$y)=@_; 314: $Apache::functionplotresponse::inputfields.= 315: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 316: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 317: } 318: 319: # 320: # Initialize a new point coordinate variable at set a listener on it 321: # 322: sub new_point_coordinate { 323: my ($id,$variable,$x,$y,$fixed)=@_; 324: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 325: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 326: } 327: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 328: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 329: } 330: &generate_input_field($id,$variable,$x,$y); 331: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable); 332: } 333: 334: # 335: # Initialize a new slope coordinate variable at set a listener on it 336: # 337: sub new_slope_coordinate { 338: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 339: # 340: # $variable: name of the slope point 341: # $x, $y: coordinates of the slope point 342: # $pointname: name of the associated point point 343: # $xp $yp: coordinates of the point point 344: # 345: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 346: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 347: } 348: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 349: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 350: } 351: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) { 352: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')}; 353: } 354: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) { 355: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')}; 356: } 357: 358: &generate_input_field($id,$variable,$x,$y); 359: my $xrel=$x-$xp; 360: my $yrel=$y-$yp; 361: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable); 362: } 363: 364: # 365: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 366: # It then starts the right headers 367: # 368: sub start_init_script { 369: my ($id)=@_; 370: # Add id to the list of ggbInit_$id functions that need to be called 371: push(@Apache::functionplotresponse::callscripts,$id); 372: # ... and open this function 373: return (<<ENDSTARTINIT); 374: <script type="text/javascript"> 375: // <![CDATA[ 376: // variable that will eventually be passed back to the server 377: var coordinateMap_$id = []; 378: // flag for not loaded yet 379: var loaded_$id=false; 380: // Init-function for applet 381: function ggbInit_$id() { 382: ENDSTARTINIT 383: } 384: 385: # 386: # This sets the axes inside ggbInit_$id 387: # 388: 389: sub axes_script { 390: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 391: my $appid=&appid($id); 392: return (<<ENDAXESSCRIPT); 393: // changes (xmin, xmax, ymin, ymax) 394: document.ggbApplet$appid.setCoordSystem($xmin,$xmax,$ymin,$ymax); 395: 396: // makes the (x,y) axis (in)visible 397: document.ggbApplet$appid.setAxesVisible($xvisible,$yvisible); 398: // makes the grid (in)visible 399: document.ggbApplet$appid.setGridVisible($gvisible); 400: ENDAXESSCRIPT 401: } 402: 403: sub axes_label { 404: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_; 405: my $appid=&appid($id); 406: unless ($xlabel || $ylabel) { return ''; } 407: my $return='document.ggbApplet'.$appid.'.evalCommand("topRight=Corner[3]");'; 408: if ($xlabel) { 409: if (($ymin<0) && ($ymax>0)) { 410: $return.=(<<ENDXAXISLABELSCRIPT); 411: document.ggbApplet$appid.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 412: document.ggbApplet$appid.setVisible("Xlabel",false); 413: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 414: ENDXAXISLABELSCRIPT 415: } else { 416: $return.=(<<ENDXOFFAXISLABEL); 417: document.ggbApplet$appid.evalCommand("LowerRight=Corner[2]"); 418: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]"); 419: ENDXOFFAXISLABEL 420: } 421: } 422: if ($ylabel) { 423: if (($xmin<0) && ($xmax>0)) { 424: $return.=(<<ENDYAXISLABELSCRIPT); 425: document.ggbApplet$appid.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 426: document.ggbApplet$appid.setVisible("Ylabel",false); 427: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 428: ENDYAXISLABELSCRIPT 429: } else { 430: $return.=(<<ENDYOFFAXISLABEL); 431: document.ggbApplet$appid.evalCommand("UpperLeft=Corner[4]"); 432: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]"); 433: ENDYOFFAXISLABEL 434: } 435: } 436: return $return; 437: } 438: 439: # 440: # Subroutine to produce background and answer plots 441: # 442: 443: sub plot_script { 444: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_; 445: my $appid=&appid($id); 446: $label=~s/\W//g; 447: if (($label) && ($label!~/^[A-Za-z]/)) { 448: $label='C'.$label; 449: } 450: my $visible=0; 451: if ($label) { 452: $visible="1"; 453: } else { 454: $Apache::functionplotresponse::counter++; 455: $label='C'.$Apache::functionplotresponse::counter; 456: } 457: my $rc=0; 458: my $gc=0; 459: my $bc=0; 460: if ($color) { 461: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/); 462: $rc=hex($rh); 463: $gc=hex($gh); 464: $bc=hex($bh); 465: } 466: if ($fixed) { 467: return "document.ggbApplet$appid.evalCommand('$label=Function[$function,$xmin,$xmax]');\n". 468: ($visible?'':"document.ggbApplet$appid.setLabelVisible('$label', false);\n"). 469: ($color?"document.ggbApplet$appid.setColor('$label',$rc,$gc,$bc);\n":''). 470: ($thickness?"document.ggbApplet$appid.setLineThickness('$label',$thickness);\n":''); 471: } else { 472: return "document.ggbApplet$appid.evalCommand('y=$function');\n"; 473: } 474: } 475: 476: # 477: # Subroutine to produce objects 478: # 479: 480: sub plotobject_script { 481: my ($id,$label,$x,$y)=@_; 482: my $appid=&appid($id); 483: unless ($label) { 484: $Apache::functionplotresponse::counter++; 485: $label='O'.$Apache::functionplotresponse::counter; 486: } 487: &generate_input_field($id,$label,$x,$y); 488: return "document.ggbApplet$appid.evalCommand('a=1');\n". 489: "document.ggbApplet$appid.setVisible('a', false);\n". 490: "document.ggbApplet$appid.setLabelVisible('a', false);\n". 491: "document.ggbApplet$appid.evalCommand('$label=a*($x,$y)');\n". 492: "document.ggbApplet$appid.setVisible('$label', true);\n". 493: "document.ggbApplet$appid.setLabelVisible('$label', true);\n"; 494: } 495: 496: # 497: # Subroutine to produce vectors 498: # 499: 500: sub plotvector_script { 501: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_; 502: my $appid=&appid($id); 503: unless ($label) { 504: $Apache::functionplotresponse::counter++; 505: $label='V'.$Apache::functionplotresponse::counter; 506: } 507: my $startlabel=$label.'Start'; 508: my $endlabel=$label.'End'; 509: my $pointlabel=$label.'Point'; 510: my $pointx=2.*($xmax-$xmin)+$xmax; 511: my $anglelabel=$label.'Angle'; 512: return 513: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed). 514: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed). 515: (<<ENDVECTOR); 516: document.ggbApplet$appid.evalCommand("$label=Vector[$startlabel,$endlabel]"); 517: document.ggbApplet$appid.setLabelVisible("$label",true); 518: document.ggbApplet$appid.setLineThickness("$label",8); 519: document.ggbApplet$appid.evalCommand("$pointlabel=($pointx,y($startlabel))"); 520: document.ggbApplet$appid.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]"); 521: document.ggbApplet$appid.setLabelVisible("$anglelabel",true); 522: document.ggbApplet$appid.setLabelStyle("$anglelabel",VALUE=2); 523: ENDVECTOR 524: } 525: 526: # 527: # Answer spline display 528: # 529: # points: x,y,slope_x,slope_y 530: 531: sub answer_spline_script { 532: my ($id,@points)=@_; 533: my $appid=&appid($id); 534: my $order=int(($#points+1)/4); 535: if ($order<2) { $order=2; } 536: if ($order>8) { $order=8; } 537: $Apache::functionplotresponse::counter++; 538: my $label='CSpline'.$Apache::functionplotresponse::counter; 539: my $output='document.ggbApplet'.$appid.'.evalCommand("'.$label.'=Spline'.$order.'['; 540: for (my $i=0;$i<=$#points;$i+=4) { 541: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),"; 542: } 543: $output=~s/\,$//; 544: $output.=']");'."\n"; 545: for (my $i=2; $i<2*$order; $i+=2) { 546: $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n"; 547: } 548: for (my $i=1; $i<2*$order; $i+=2) { 549: $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n"; 550: } 551: 552: return $output; 553: } 554: 555: # 556: # Subroutine that generates code for spline $label based on stored information 557: # 558: 559: sub generate_spline { 560: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 561: my $appid=&appid($id); 562: my $result=''; 563: my $order=$Apache::functionplotresponse::splineorder{$label}; 564: my $x=$Apache::functionplotresponse::splineinitx{$label}; 565: my $y=$Apache::functionplotresponse::splineinity{$label}; 566: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 567: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 568: my @coords=(); 569: foreach my $i (1..$order) { 570: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); 571: my $xp=$x; 572: $x+=$sx/(2.*($order-1)); 573: push(@coords,$label.'P'.$i); 574: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); 575: $x+=$sx/(2.*($order-1)); 576: push(@coords,$label.'S'.$i); 577: } 578: $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 579: return $result; 580: } 581: 582: # 583: # Object 584: # 585: 586: sub start_plotobject { 587: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 588: my $result=''; 589: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 590: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval); 591: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval); 592: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 593: $label=~s/\W//gs; 594: $label=ucfirst($label); 595: unless ($label) { $label="NewObject"; } 596: if ($target eq 'web') { 597: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 598: unless (defined($x)) { $x=$xmin; } 599: unless (defined($y)) { $y=$ymin; } 600: $result.=&plotobject_script($internalid,$label,$x,$y); 601: } elsif ($target eq 'edit') { 602: $result=&Apache::edit::tag_start($target,$token,'Plot Object'). 603: &Apache::edit::text_arg('Label on Plot:','label', 604: $token,'16'). 605: &Apache::edit::text_arg('x:','x', 606: $token,'8'). 607: &Apache::edit::text_arg('y:','y', 608: $token,'8'). 609: &Apache::edit::end_row(); 610: } elsif ($target eq 'modified') { 611: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 612: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y'); 613: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 614: } 615: return $result; 616: } 617: 618: sub end_plotobject { 619: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 620: my $result=''; 621: if ($target eq 'edit') { 622: $result=&Apache::edit::end_table(); 623: } 624: return $result; 625: } 626: 627: # 628: # Vector 629: # 630: 631: sub start_plotvector { 632: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 633: my $result=''; 634: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 635: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 636: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 637: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval); 638: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval); 639: 640: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 641: $label=~s/\W//gs; 642: $label=ucfirst($label); 643: unless ($label) { $label="NewVector"; } 644: if ($Apache::functionplotresponse::vectorlabels{$label}) { 645: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label)); 646: } 647: $Apache::functionplotresponse::vectorlabels{$label}=1; 648: if ($target eq 'web') { 649: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 650: unless (defined($tailx)) { $tailx=$xmin; } 651: unless (defined($taily)) { $taily=$ymin; } 652: unless (defined($tipx)) { $tipx=$xmin; } 653: unless (defined($tipy)) { $tipy=$ymin; } 654: my $fixed=0; 655: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; } 656: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed); 657: } elsif ($target eq 'edit') { 658: $result=&Apache::edit::tag_start($target,$token,'Plot Vector'). 659: &Apache::edit::text_arg('Label on Plot:','label', 660: $token,'16'). 661: &Apache::edit::text_arg('Tail x:','tailx', 662: $token,'8'). 663: &Apache::edit::text_arg('Tail y:','taily', 664: $token,'8'). 665: &Apache::edit::text_arg('Tip x:','tipx', 666: $token,'8'). 667: &Apache::edit::text_arg('Tip y:','tipy', 668: $token,'8'). 669: 670: &Apache::edit::end_row(); 671: } elsif ($target eq 'modified') { 672: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 673: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy'); 674: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 675: } 676: return $result; 677: } 678: 679: sub end_plotvector { 680: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 681: my $result=''; 682: if ($target eq 'edit') { 683: $result=&Apache::edit::end_table(); 684: } 685: return $result; 686: } 687: 688: 689: # 690: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw 691: # 692: 693: sub start_drawvectorsum { 694: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 695: my $result=''; 696: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 697: my $internalappid=&appid($internalid); 698: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 699: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 700: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval); 701: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval); 702: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 703: $label=~s/\W//gs; 704: $label=ucfirst($label); 705: unless ($label) { $label="NewVector"; } 706: if ($target eq 'web') { 707: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 708: unless (defined($tailx)) { $tailx=$xmin; } 709: unless (defined($taily)) { $taily=$ymin; } 710: unless (defined($vectorlist)) { $vectorlist=''; } 711: my @vectors=split(/\,/,$vectorlist); 712: if ($#vectors>0) { 713: my @sumx=(); 714: my @sumy=(); 715: foreach my $thisvector (@vectors) { 716: $thisvector=~s/\W//gs; 717: $thisvector=ucfirst($thisvector); 718: unless ($thisvector) { next; } 719: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) { 720: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector)); 721: next; 722: } 723: my $vectorx=$thisvector.'X'; 724: my $vectory=$thisvector.'Y'; 725: $result.=(<<ENDADDVEC); 726: document.ggbApplet$internalappid.evalCommand("$vectorx=x($thisvector)"); 727: document.ggbApplet$internalappid.evalCommand("$vectory=y($thisvector)"); 728: document.ggbApplet$internalappid.evalCommand("Include$thisvector$label=Checkbox[]"); 729: ENDADDVEC 730: push(@sumx,"If[Include$thisvector$label,$vectorx,0]"); 731: push(@sumy,"If[Include$thisvector$label,$vectory,0]"); 732: } 733: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n"; 734: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n"; 735: my $show=0; 736: if ($showvalue=~/yes/i) { 737: $show=1; 738: } 739: $result.=(<<ENDMAKEVECTOR); 740: document.ggbApplet$internalappid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]"); 741: document.ggbApplet$internalappid.setLabelVisible("$label",true); 742: document.ggbApplet$internalappid.setLineThickness("$label",8); 743: document.ggbApplet$internalappid.setColor("$label",255,0,0); 744: document.ggbApplet$internalappid.setLabelStyle("$label",VALUE=$show); 745: ENDMAKEVECTOR 746: } 747: } elsif ($target eq 'edit') { 748: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum'). 749: &Apache::edit::text_arg('Label on Plot:','label', 750: $token,'16'). 751: &Apache::edit::text_arg('Tail x:','tailx', 752: $token,'8'). 753: &Apache::edit::text_arg('Tail y:','taily', 754: $token,'8'). 755: &Apache::edit::select_arg('Show Value:','showvalue', 756: ['yes','no'],$token).'<br />'. 757: &Apache::edit::text_arg('Vector List:','vectorlist', 758: $token,'40'). 759: &Apache::edit::end_row(); 760: } elsif ($target eq 'modified') { 761: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 762: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist'); 763: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 764: } 765: return $result; 766: } 767: 768: 769: sub end_drawvectorsum { 770: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 771: my $result=''; 772: if ($target eq 'edit') { 773: $result=&Apache::edit::end_table(); 774: } 775: return $result; 776: } 777: 778: 779: 780: # 781: # <backgroundplot function="..." fixed="yes/no" /> 782: # 783: sub start_backgroundplot { 784: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 785: my $result=''; 786: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 787: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 788: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); 789: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); 790: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 791: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); 792: $color=~s/[^a-fA-F0-9]//gs; 793: unless (length($color)==6) { $color=''; } 794: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 795: 796: unless ($function) { $function="0"; } 797: if ($target eq 'web') { 798: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 799: unless (defined($xinitial)) { $xinitial=$xmin; } 800: unless (defined($xfinal)) { $xfinal=$xmax; } 801: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); 802: } elsif ($target eq 'edit') { 803: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 804: &Apache::edit::text_arg('Function:','function', 805: $token,'16'). 806: &Apache::edit::text_arg('Initial x-value (optional):','xinitial', 807: $token,'8'). 808: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 809: $token,'8'). 810: &Apache::edit::text_arg('Label on Plot:','label', 811: $token,'8'). 812: &Apache::edit::text_arg('Color (hex code):','color', 813: $token,'8'). 814: &Apache::edit::select_arg('Fixed location:','fixed', 815: ['yes','no'],$token). 816: &Apache::edit::end_row(); 817: } elsif ($target eq 'modified') { 818: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 819: $safeeval,'function','label','xinitial','xfinal','color','fixed'); 820: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 821: } 822: return $result; 823: } 824: 825: sub end_backgroundplot { 826: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 827: my $result=''; 828: if ($target eq 'edit') { 829: $result=&Apache::edit::end_table(); 830: } 831: return $result; 832: } 833: 834: # 835: # <functionplotrule ... /> 836: # 837: sub start_functionplotrule { 838: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 839: my $result=''; 840: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 841: $Apache::functionplotresponse::counter++; 842: if ($label=~/\W/) { 843: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 844: } 845: $label=~s/\W//gs; 846: unless ($label) { 847: $label='R'.$Apache::functionplotresponse::counter; 848: } else { 849: $label='R'.$label; 850: } 851: 852: if ($target eq 'grade') { 853: # Simply remember - in order - for later 854: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); 855: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); 856: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { 857: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); 858: } 859: $beginninglabel=~s/\W//gs; 860: $endinglabel=~s/\W//gs; 861: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); 862: $relationship=~s/\W//gs; 863: $relationship=lc($relationship); 864: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { 865: &Apache::lonxml::warning(&mt('Rule relationship not defined.')); 866: $relationship='eq'; 867: } 868: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); 869: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { 870: &Apache::lonxml::warning(&mt('Rule derivative not defined.')); 871: $derivative=0; 872: } 873: push(@Apache::functionplotresponse::functionplotrules,join(':',( 874: $label, 875: $derivative, 876: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), 877: $beginninglabel, 878: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), 879: $endinglabel, 880: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), 881: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), 882: $relationship, 883: &Apache::lonxml::get_param('value',$parstack,$safeeval), 884: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) 885: ))); 886: } elsif ($target eq 'edit') { 887: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule'). 888: &Apache::edit::text_arg('Index/Name:','index', 889: $token,'10').' '. 890: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder', 891: [['0','Function itself'], 892: ['1','First derivative'], 893: ['2','Second derivative'], 894: ['-1','Integral']],$token).'<br />'. 895: &Apache::edit::text_arg('Initial x-value:','xinitial', 896: $token,'8'). 897: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', 898: [['start','Start of Plot'], 899: ['end','End of Plot']],$token,'8').'<br />'. 900: 901: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 902: $token,'8'). 903: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', 904: [['end','End of Plot']],$token,'8').'<br />'. 905: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', 906: $token,'8'). 907: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', 908: $token,'8').'<br />'. 909: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', 910: [['eq','equal'], 911: ['ne','not equal'], 912: ['ge','greater than or equal'], 913: ['gt','greater than'], 914: ['lt','less than'], 915: ['le','less than or equal']],$token). 916: $result.= &Apache::edit::select_or_text_arg('Value:','value', 917: [['undef','not defined']],$token,'30'). 918: &Apache::edit::text_arg('Percent error:','percenterror', 919: $token,'8'). 920: &Apache::edit::end_row(); 921: } elsif ($target eq 'modified') { 922: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { 923: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; 924: } 925: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { 926: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; 927: } 928: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 929: $safeeval,'index','derivativeorder', 930: 'xinitial','xinitiallabel','xfinal','xfinallabel', 931: 'minimumlength','maximumlength', 932: 'relationship','value','percenterror'); 933: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 934: } 935: return $result; 936: } 937: 938: sub end_functionplotrule { 939: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 940: my $result=''; 941: if ($target eq 'edit') { 942: $result=&Apache::edit::end_table(); 943: } 944: return $result; 945: } 946: 947: 948: # 949: # <functionplotvectorrule ... /> 950: # 951: sub start_functionplotvectorrule { 952: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 953: my $result=''; 954: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 955: $Apache::functionplotresponse::counter++; 956: if ($label=~/\W/) { 957: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 958: } 959: $label=~s/\W//gs; 960: unless ($label) { 961: $label='R'.$Apache::functionplotresponse::counter; 962: } else { 963: $label='R'.$label; 964: } 965: 966: if ($target eq 'grade') { 967: # Simply remember - in order - for later 968: 969: my $id=$Apache::inputtags::response[-1]; 970: my $partid=$Apache::inputtags::part; 971: my $internalid = $partid.'_'.$id; 972: 973: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval); 974: $vector=~s/\W//gs; 975: $vector=ucfirst($vector); 976: 977: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 978: $label, 979: 'vector', 980: $internalid, 981: $vector, 982: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval), 983: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval), 984: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval), 985: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval), 986: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval), 987: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval), 988: &Apache::lonxml::get_param('length',$parstack,$safeeval), 989: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 990: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 991: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 992: ))); 993: } elsif ($target eq 'edit') { 994: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule'). 995: &Apache::edit::text_arg('Index/Name:','index', 996: $token,'10').' '. 997: &Apache::edit::text_arg('Vector:','vector', 998: $token,'16').'<br />'. 999: &Apache::edit::text_arg('Attached to object:','attachpoint', 1000: $token,'16'). 1001: &Apache::edit::text_arg('Not attached to object:','notattachpoint', 1002: $token,'16').'<br />'. 1003: &Apache::edit::text_arg('Tail attached to object:','tailpoint', 1004: $token,'16'). 1005: &Apache::edit::text_arg('Tip attached to object:','tippoint', 1006: $token,'16'). 1007: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint', 1008: $token,'16'). 1009: &Apache::edit::text_arg('Tip not attached to object:','nottippoint', 1010: $token,'16').'<br />'. 1011: &Apache::edit::text_arg('Length:','length', 1012: $token,'30'). 1013: &Apache::edit::text_arg('Absolute error length:','lengtherror', 1014: $token,'8').'<br />'. 1015: &Apache::edit::text_arg('Angle:','angle', 1016: $token,'30'). 1017: &Apache::edit::text_arg('Absolute error angle:','angleerror', 1018: $token,'8'). 1019: &Apache::edit::end_row(); 1020: } elsif ($target eq 'modified') { 1021: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')}); 1022: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1023: $safeeval,'index','vector','attachpoint','notattachpoint', 1024: 'tailpoint','tippoint','nottailpoint','nottipoint', 1025: 'length','angle', 1026: 'lengtherror','angleerror'); 1027: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1028: } 1029: return $result; 1030: } 1031: 1032: sub end_functionplotvectorrule { 1033: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1034: my $result=''; 1035: if ($target eq 'edit') { 1036: $result=&Apache::edit::end_table(); 1037: } 1038: return $result; 1039: } 1040: 1041: # 1042: # <functionplotvectorsumrule ... /> 1043: # 1044: sub start_functionplotvectorsumrule { 1045: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1046: my $result=''; 1047: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1048: $Apache::functionplotresponse::counter++; 1049: if ($label=~/\W/) { 1050: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1051: } 1052: $label=~s/\W//gs; 1053: unless ($label) { 1054: $label='R'.$Apache::functionplotresponse::counter; 1055: } else { 1056: $label='R'.$label; 1057: } 1058: if ($target eq 'grade') { 1059: # Simply remember - in order - for later 1060: my $id=$Apache::inputtags::response[-1]; 1061: my $partid=$Apache::inputtags::part; 1062: my $internalid = $partid.'_'.$id; 1063: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval); 1064: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1065: $label, 1066: 'sum', 1067: $internalid, 1068: $vectors, 1069: &Apache::lonxml::get_param('length',$parstack,$safeeval), 1070: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 1071: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 1072: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 1073: ))); 1074: } elsif ($target eq 'edit') { 1075: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule'). 1076: &Apache::edit::text_arg('Index/Name:','index', 1077: $token,'10').' '. 1078: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors', 1079: $token,'30').'<br />'. 1080: &Apache::edit::text_arg('Sum vector length:','length', 1081: $token,'30'). 1082: &Apache::edit::text_arg('Absolute error length:','lengtherror', 1083: $token,'8').'<br />'. 1084: &Apache::edit::text_arg('Sum vector angle:','angle', 1085: $token,'30'). 1086: &Apache::edit::text_arg('Absolute error angle:','angleerror', 1087: $token,'8'). 1088: &Apache::edit::end_row(); 1089: } elsif ($target eq 'modified') { 1090: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1091: $safeeval,'index','vectors', 1092: 'length','angle', 1093: 'lengtherror','angleerror'); 1094: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1095: } 1096: return $result; 1097: } 1098: 1099: sub end_functionplotvectorsumrule { 1100: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1101: my $result=''; 1102: if ($target eq 'edit') { 1103: $result=&Apache::edit::end_table(); 1104: } 1105: return $result; 1106: } 1107: 1108: # 1109: # <functionplotcustom ... /> 1110: # 1111: sub start_functionplotcustomrule { 1112: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1113: my $result=''; 1114: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1115: $Apache::functionplotresponse::counter++; 1116: if ($label=~/\W/) { 1117: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1118: } 1119: $label=~s/\W//gs; 1120: unless ($label) { 1121: $label='R'.$Apache::functionplotresponse::counter; 1122: } else { 1123: $label='R'.$label; 1124: } 1125: &Apache::lonxml::register('Apache::response',('answer')); 1126: if ($target eq 'edit') { 1127: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule'). 1128: &Apache::edit::text_arg('Index/Name:','index',$token,'10'). 1129: &Apache::edit::end_row(); 1130: } elsif ($target eq 'modified') { 1131: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index'); 1132: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1133: } 1134: return $result; 1135: } 1136: 1137: sub end_functionplotcustomrule { 1138: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1139: my $result=''; 1140: if ($target eq 'edit') { 1141: $result=&Apache::edit::end_table(); 1142: } elsif ($target eq 'grade') { 1143: # Simply remember - in order - for later 1144: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1145: $Apache::functionplotresponse::counter++; 1146: if ($label=~/\W/) { 1147: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1148: } 1149: $label=~s/\W//gs; 1150: unless ($label) { 1151: $label='R'.$Apache::functionplotresponse::counter; 1152: } else { 1153: $label='R'.$label; 1154: } 1155: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1156: $label, 1157: 'custom', 1158: &escape($Apache::response::custom_answer[-1]) 1159: ))); 1160: } 1161: &Apache::lonxml::deregister('Apache::response',('answer')); 1162: return $result; 1163: } 1164: 1165: 1166: 1167: # 1168: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 1169: # 1170: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 1171: # 1172: sub start_spline { 1173: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1174: my $result=''; 1175: if ($target eq 'web') { 1176: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1177: $Apache::functionplotresponse::counter++; 1178: if ($label=~/\W/) { 1179: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 1180: } 1181: $label=~s/\W//gs; 1182: unless ($label) { 1183: $label='S'.$Apache::functionplotresponse::counter; 1184: } else { 1185: $label='S'.$label; 1186: } 1187: if ($Apache::functionplotresponse::splineorder{$label}) { 1188: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 1189: } 1190: 1191: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 1192: if ($order<2) { $order=2; } 1193: if ($order>8) { $order=8; } 1194: $Apache::functionplotresponse::splineorder{$label}=$order; 1195: 1196: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 1197: unless ($x) { $x=0; } 1198: $Apache::functionplotresponse::splineinitx{$label}=$x; 1199: 1200: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 1201: unless ($y) { $y=0; } 1202: $Apache::functionplotresponse::splineinity{$label}=$y; 1203: 1204: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 1205: unless ($sx) { $sx=$order; } 1206: $Apache::functionplotresponse::splinescalex{$label}=$sx; 1207: 1208: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 1209: unless ($sy) { $sy=2; } 1210: $Apache::functionplotresponse::splinescaley{$label}=$sy; 1211: } elsif ($target eq 'edit') { 1212: $result=&Apache::edit::tag_start($target,$token,'Spline'). 1213: &Apache::edit::text_arg('Index:','index', 1214: $token,'4').' '. 1215: &Apache::edit::select_arg('Order:','order', 1216: ['2','3','4','5','6','7','8'],$token).' '. 1217: &Apache::edit::text_arg('Initial x-value:','initx', 1218: $token,'4').' '. 1219: &Apache::edit::text_arg('Initial y-value:','inity', 1220: $token,'4').' '. 1221: &Apache::edit::text_arg('Scale x:','scalex', 1222: $token,'4').' '. 1223: &Apache::edit::text_arg('Scale y:','scaley', 1224: $token,'4'). 1225: &Apache::edit::end_row(); 1226: } elsif ($target eq 'modified') { 1227: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1228: $safeeval,'index','order','initx','inity', 1229: 'scalex','scaley'); 1230: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1231: } 1232: return $result; 1233: } 1234: 1235: sub end_spline { 1236: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1237: my $result=''; 1238: if ($target eq 'edit') { 1239: $result=&Apache::edit::end_table(); 1240: } 1241: return $result; 1242: } 1243: 1244: sub end_init_script { 1245: return (<<ENDENDINIT); 1246: } 1247: // ]]> 1248: </script> 1249: ENDENDINIT 1250: } 1251: 1252: # 1253: # Storing and restoring spline coordinates from part answers 1254: # 1255: sub decode_previous_answer { 1256: my ($answer)=@_; 1257: foreach my $coordinate (split(/\,/,$answer)) { 1258: my ($key,$value)=split(/\=/,$coordinate); 1259: $Apache::functionplotresponse::previous{$key}=$value; 1260: } 1261: } 1262: 1263: sub get_answer_from_form_fields { 1264: my ($id)=@_; 1265: my $answer=''; 1266: my %coords=(); 1267: foreach my $field (keys(%env)) { 1268: if ($field=~/^form\.HWVAL\_$id/) { 1269: $field=~/^form\.(.*)$/; 1270: $coords{$1}=$env{$field}; 1271: } 1272: } 1273: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 1274: return ($answer,%coords); 1275: } 1276: 1277: # 1278: # The following functions calculate the cubic-hermite splines server-side 1279: # 1280: 1281: sub cubic_hermite { 1282: my ($t,$p1,$s1,$p2,$s2)=@_; 1283: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 1284: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 1285: } 1286: 1287: # 1288: # d/dt(...) 1289: # 1290: 1291: sub ddt_cubic_hermite { 1292: my ($t,$p1,$s1,$p2,$s2)=@_; 1293: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 1294: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 1295: } 1296: 1297: # 1298: # d^2/dt^2(...) 1299: # 1300: 1301: sub d2dt2_cubic_hermite { 1302: my ($t,$p1,$s1,$p2,$s2)=@_; 1303: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 1304: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 1305: } 1306: 1307: # 1308: # Array index calculation 1309: # 1310: sub array_index { 1311: my ($xmin,$xmax,$x)=@_; 1312: if ($x ne '') { 1313: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 1314: } else { 1315: return undef; 1316: } 1317: } 1318: 1319: # 1320: # Populate the arrays 1321: # 1322: 1323: sub populate_arrays { 1324: my ($id,$xmin,$xmax,$ymin,$ymax)=@_; 1325: for (my $i=0; $i<=400; $i++) { 1326: $Apache::functionplotresponse::actualxval[$i]=undef; 1327: $Apache::functionplotresponse::func[$i]=undef; 1328: $Apache::functionplotresponse::dfuncdx[$i]=undef; 1329: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 1330: } 1331: unless ($xmax>$xmin) { return 'no_func'; } 1332: # Run over all splines in response 1333: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 1334: my $xiold=-1; 1335: # Run over all points in spline 1336: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 1337: my $ni=$i+1; 1338: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 1339: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 1340: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 1341: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 1342: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 1343: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 1344: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 1345: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 1346: # Run in small steps over spline parameter 1347: for (my $t=0; $t<=1; $t+=0.0001) { 1348: my $xreal=&cubic_hermite($t,@xparms); 1349: my $xi=&array_index($xmin,$xmax,$xreal); 1350: if ($xi<$xiold) { return 'no_func'; } 1351: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 1352: $xiold=$xi; 1353: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 1354: # Function value 1355: my $funcval=&cubic_hermite($t,@yparms); 1356: 1357: # Do we already have a value for this point, and is it different from the new one? 1358: if ((defined($Apache::functionplotresponse::func[$xi])) && 1359: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 1360: return 'no_func'; 1361: } 1362: # Okay, remember the new point 1363: $Apache::functionplotresponse::func[$xi]=$funcval; 1364: 1365: if (defined($funcval)) { 1366: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 1367: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 1368: } 1369: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 1370: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 1371: } 1372: } 1373: # Chain rule 1374: # dy/dx=dy/dt/(dx/dt) 1375: my $dxdt=&ddt_cubic_hermite($t,@xparms); 1376: if ($dxdt) { 1377: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 1378: # Second derivative 1379: $Apache::functionplotresponse::d2funcdx2[$xi]= 1380: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 1381: ($dxdt*$dxdt*$dxdt); 1382: } 1383: } 1384: } 1385: } 1386: } 1387: } 1388: 1389: # 1390: # Implementation of <functionplotresponse> 1391: # 1392: 1393: sub start_functionplotresponse { 1394: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1395: my $result=''; 1396: # To remember the splines - somehow, they need to come last 1397: undef %Apache::functionplotresponse::splineorder; 1398: undef %Apache::functionplotresponse::splineinitx; 1399: undef %Apache::functionplotresponse::splineinity; 1400: undef %Apache::functionplotresponse::splinescalex; 1401: undef %Apache::functionplotresponse::splinescaley; 1402: # Remember input fields, etc 1403: undef %Apache::functionplotresponse::previous; 1404: $Apache::functionplotresponse::inputfields=''; 1405: $Apache::functionplotresponse::counter=0; 1406: # Remember vectors 1407: undef %Apache::functionplotresponse::vectorlabels; 1408: # Remember rules 1409: undef @Apache::functionplotresponse::functionplotrules; 1410: undef @Apache::functionplotresponse::functionplotvectorrules; 1411: # Remember failed rules 1412: if ($target eq 'grade') { 1413: undef @Apache::functionplotresponse::failedrules; 1414: } 1415: # Delete previous awards 1416: undef $Apache::functionplotresponse::awarddetail; 1417: # Part and ID 1418: my $partid=$Apache::inputtags::part; 1419: my $id=&Apache::response::start_response($parstack,$safeeval); 1420: # Internal ID to mark the applet and its coordinates 1421: my $internalid = $partid.'_'.$id; 1422: # Previous answer 1423: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 1424: 1425: # Parameters of <functionplotresponse> 1426: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 1427: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1428: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1429: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1430: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 1431: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 1432: if ($target eq 'edit') { 1433: $result.=&Apache::edit::start_table($token) 1434: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 1435: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1436: .&Apache::edit::deletelist($target,$token).'   ' 1437: .&Apache::edit::insertlist($target,$token).'   ' 1438: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') 1439: .'</span></td>' 1440: ."<td> " 1441: .&Apache::edit::end_row() 1442: .&Apache::edit::start_spanning_row() 1443: ."\n"; 1444: $result.=&Apache::edit::text_arg('Width (pixels):','width', 1445: $token,'6').' '. 1446: &Apache::edit::text_arg('Height (pixels):','height', 1447: $token,'6').'<br />'. 1448: &Apache::edit::text_arg('Label x-axis:','xlabel', 1449: $token,'6').' '. 1450: &Apache::edit::text_arg('Minimum x-value:','xmin', 1451: $token,'4').' '. 1452: &Apache::edit::text_arg('Maximum x-value:','xmax', 1453: $token,'4').' '. 1454: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 1455: ['yes','no'],$token).'<br />'. 1456: &Apache::edit::text_arg('Label y-axis:','ylabel', 1457: $token,'6').' '. 1458: &Apache::edit::text_arg('Minimum y-value:','ymin', 1459: $token,'4').' '. 1460: &Apache::edit::text_arg('Maximum y-value:','ymax', 1461: $token,'4').' '. 1462: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 1463: ['yes','no'],$token).'<br />'. 1464: &Apache::edit::select_arg('Grid visible:','gridvisible', 1465: ['yes','no'],$token).'<br />'. 1466: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', 1467: 'answerdisplay',$token,'50'). 1468: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 1469: } elsif ($target eq 'modified') { 1470: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1471: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax', 1472: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); 1473: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 1474: 1475: } elsif ($target eq 'meta') { 1476: $result=&Apache::response::meta_package_write('functionplotresponse'); 1477: } elsif (($target eq 'answer') && 1478: ($env{'form.answer_output_mode'} ne 'tex') && 1479: ($Apache::lonhomework::viewgrades == 'F')) { 1480: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 1481: $uname =~s/\W//g; 1482: $udom =~s/\W//g; 1483: my $function_name = 1484: join('_','LONCAPA_scriptvars',$uname,$udom, 1485: $env{'form.counter'},$Apache::lonxml::curdepth); 1486: &Apache::lonxml::add_script_result( 1487: &Apache::loncommon::modal_adhoc_window($function_name,700,500, 1488: '<pre>'.$Apache::functionplotresponse::ruleslog.'</pre>', 1489: &mt('Rules Log'))."<br />"); 1490: } 1491: return $result; 1492: } 1493: 1494: sub compare_rel { 1495: my ($relationship,$value,$realval,$tol)=@_; 1496: # is the real value undefined? 1497: unless (defined($realval)) { 1498: # the real value is not defined 1499: if ($relationship eq 'eq') { 1500: if ($value eq 'undef') { 1501: return 1; 1502: } else { 1503: return 0; 1504: } 1505: } elsif ($relationship eq 'ne') { 1506: if ($value eq 'undef') { 1507: return 0; 1508: } else { 1509: return 1; 1510: } 1511: } else { 1512: return 0; 1513: } 1514: } 1515: 1516: # is the expected value undefined? 1517: if ($value eq 'undef') { 1518: # but by now we know that the real value is defined 1519: return 0; 1520: } 1521: 1522: # both are defined. 1523: if ($relationship eq 'gt') { 1524: return ($realval>$value); 1525: } elsif ($relationship eq 'ge') { 1526: return ($realval>$value-$tol); 1527: } elsif ($relationship eq 'lt') { 1528: return ($realval<$value); 1529: } elsif ($relationship eq 'le') { 1530: return ($realval<$value+$tol); 1531: } elsif ($relationship eq 'ne') { 1532: return (abs($value-$realval)>$tol); 1533: } else { 1534: return (abs($value-$realval)<$tol); 1535: } 1536: return 0; 1537: } 1538: 1539: sub addlog { 1540: my ($text)=@_; 1541: $text=~s/\'/\\\'/g; 1542: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 1543: } 1544: 1545: sub actualval { 1546: my ($i,$xmin,$xmax)=@_; 1547: return $xmin+$i/400.*($xmax-$xmin); 1548: } 1549: 1550: sub fpr_val { 1551: my ($arg)=@_; 1552: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg}, 1553: $Apache::functionplotresponse::fpr_xmin, 1554: $Apache::functionplotresponse::fpr_xmax); 1555: } 1556: 1557: sub fpr_f { 1558: my ($arg)=@_; 1559: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin, 1560: $Apache::functionplotresponse::fpr_xmax, 1561: $arg)]; 1562: } 1563: 1564: sub fpr_dfdx { 1565: my ($arg)=@_; 1566: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin, 1567: $Apache::functionplotresponse::fpr_xmax, 1568: $arg)]; 1569: } 1570: 1571: sub fpr_d2fdx2 { 1572: my ($arg)=@_; 1573: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin, 1574: $Apache::functionplotresponse::fpr_xmax, 1575: $arg)]; 1576: } 1577: 1578: sub fpr_vectorcoords { 1579: my ($arg)=@_; 1580: $arg=~s/\W//gs; 1581: $arg=ucfirst($arg); 1582: my $id=$Apache::inputtags::response[-1]; 1583: my $partid=$Apache::inputtags::part; 1584: my $internalid = $partid.'_'.$id; 1585: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'}, 1586: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'}, 1587: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'}, 1588: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'}); 1589: } 1590: 1591: sub fpr_objectcoords { 1592: my ($arg)=@_; 1593: $arg=~s/\W//gs; 1594: $arg=ucfirst($arg); 1595: my $id=$Apache::inputtags::response[-1]; 1596: my $partid=$Apache::inputtags::part; 1597: my $internalid = $partid.'_'.$id; 1598: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'}, 1599: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'}); 1600: } 1601: 1602: sub fpr_vectorlength { 1603: my ($arg)=@_; 1604: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1605: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys)); 1606: } 1607: 1608: sub fpr_vectorangle { 1609: my ($arg)=@_; 1610: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1611: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs)); 1612: if ($angle<0) { $angle=360+$angle; } 1613: return $angle; 1614: } 1615: 1616: sub vectorcoords { 1617: my ($id,$label)=@_; 1618: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'}, 1619: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'}, 1620: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'}, 1621: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'}); 1622: } 1623: 1624: sub objectcoords { 1625: my ($id,$label)=@_; 1626: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'}, 1627: $env{'form.HWVAL_'.$id.'_'.$label.'_y'}); 1628: } 1629: 1630: sub attached { 1631: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_; 1632: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector); 1633: my $tolx=($xmax-$xmin)/100.; 1634: my $toly=($ymax-$ymin)/100.; 1635: my $tail=0; 1636: my $tip=0; 1637: foreach my $obj (split(/\s*\,\s*/,$objects)) { 1638: $obj=~s/\W//g; 1639: unless ($obj) { next; } 1640: $obj=ucfirst($obj); 1641: my ($xo,$yo)=&objectcoords($id,$obj); 1642: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)"); 1643: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { 1644: $tail=1; 1645: &addlog("Attached tail: $obj"); 1646: } 1647: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { 1648: $tip=1; 1649: &addlog("Attached tip: $obj"); 1650: } 1651: } 1652: &addlog("Result tail:$tail tip:$tip"); 1653: return($tail,$tip); 1654: } 1655: 1656: 1657: sub vectorangle { 1658: my ($x,$y)=@_; 1659: my $angle=57.2957795*atan2($y,$x); 1660: if ($angle<0) { $angle=360+$angle; } 1661: return $angle; 1662: } 1663: 1664: sub vectorlength { 1665: my ($x,$y)=@_; 1666: return sqrt($x*$x+$y*$y); 1667: } 1668: 1669: sub relvector { 1670: my ($xs,$xe,$ys,$ye)=@_; 1671: return ($xe-$xs,$ye-$ys); 1672: } 1673: 1674: sub plotvectorlength { 1675: return &vectorlength(&relvector(&vectorcoords(@_))); 1676: } 1677: 1678: sub plotvectorangle { 1679: return &vectorangle(&relvector(&vectorcoords(@_))); 1680: } 1681: 1682: 1683: # 1684: # Evaluate a functionplotvectorrule 1685: # 1686: 1687: sub functionplotvectorrulecheck { 1688: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1689: &addlog("================="); 1690: my ($label,$type)=split(/\:/,$rule); 1691: if ($type eq 'vector') { 1692: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1693: } elsif ($type eq 'sum') { 1694: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1695: } elsif ($type eq 'custom') { 1696: return &customcheck($rule,$safeeval); 1697: } 1698: } 1699: 1700: sub vectorcheck { 1701: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1702: my ($label,$type,$id,$vector, 1703: $attachpoint,$notattachpoint, 1704: $tailpoint,$tippoint,$nottailpoint,$nottippoint, 1705: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1706: &addlog("Vector Rule $label for vector ".$vector); 1707: if ($length ne '') { 1708: &addlog("Checking for length $length with error $lengtherror"); 1709: $length=&Apache::run::run($length,$safeeval); 1710: &addlog("Length evaluated to $length"); 1711: my $thislength=&plotvectorlength($id,$vector); 1712: &addlog("Found length $thislength"); 1713: if (abs($thislength-$length)>$lengtherror) { 1714: &setfailed($label); 1715: return 0; 1716: } 1717: } 1718: if ($angle ne '') { 1719: &addlog("Checking for angle $angle with error $angleerror"); 1720: $angle=&Apache::run::run($angle,$safeeval); 1721: &addlog("Angle evaluated to $angle"); 1722: my $thisangle=&plotvectorangle($id,$vector); 1723: &addlog("Found angle $thisangle"); 1724: my $anglediff=abs($thisangle-$angle); 1725: &addlog("Angle difference: $anglediff"); 1726: if ($anglediff>360.-$anglediff) { 1727: $anglediff=360.-$anglediff; 1728: } 1729: &addlog("Smallest angle difference: $anglediff"); 1730: if ($anglediff>$angleerror) { 1731: &setfailed($label); 1732: return 0; 1733: } 1734: } 1735: if ($attachpoint ne '') { 1736: &addlog("Checking attached: ".$attachpoint); 1737: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax); 1738: unless ($tail || $tip) { 1739: &setfailed($label); 1740: return 0; 1741: } 1742: } 1743: if ($notattachpoint ne '') { 1744: &addlog("Checking not attached: ".$notattachpoint); 1745: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax); 1746: if ($tail || $tip) { 1747: &setfailed($label); 1748: return 0; 1749: } 1750: } 1751: if ($tailpoint ne '') { 1752: &addlog("Checking tail: ".$tailpoint); 1753: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax); 1754: unless ($tail) { 1755: &setfailed($label); 1756: return 0; 1757: } 1758: } 1759: if ($nottailpoint ne '') { 1760: &addlog("Checking not tail: ".$nottailpoint); 1761: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax); 1762: if ($tail) { 1763: &setfailed($label); 1764: return 0; 1765: } 1766: } 1767: if ($tippoint ne '') { 1768: &addlog("Checking tip: ".$tippoint); 1769: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax); 1770: unless ($tip) { 1771: &setfailed($label); 1772: return 0; 1773: } 1774: } 1775: if ($nottippoint ne '') { 1776: &addlog("Checking not tip: ".$nottippoint); 1777: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax); 1778: if ($tip) { 1779: &setfailed($label); 1780: return 0; 1781: } 1782: } 1783: 1784: &addlog("Rule $label passed."); 1785: return 1; 1786: } 1787: 1788: sub sumcheck { 1789: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1790: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1791: &addlog("Vector Sum Rule $label for vectors ".$vectors); 1792: my $sumx=0; 1793: my $sumy=0; 1794: foreach my $sv (split(/\s*\,\s*/,$vectors)) { 1795: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv)); 1796: $sumx+=$rx; 1797: $sumy+=$ry; 1798: } 1799: &addlog("Sum vector ($sumx,$sumy)"); 1800: if ($length ne '') { 1801: &addlog("Checking length $length with error $lengtherror"); 1802: $length=&Apache::run::run($length,$safeeval); 1803: &addlog("Evaluated to $length"); 1804: my $thislength=&vectorlength($sumx,$sumy); 1805: &addlog("Actual length $thislength"); 1806: if (abs($length-$thislength)>$lengtherror) { 1807: &setfailed($label); 1808: return 0; 1809: } 1810: } 1811: if ($angle ne '') { 1812: &addlog("Checking angle $angle with error $angleerror"); 1813: $angle=&Apache::run::run($angle,$safeeval); 1814: &addlog("Evaluated to $angle"); 1815: my $thisangle=&vectorangle($sumx,$sumy); 1816: &addlog("Actual angle $thisangle"); 1817: my $anglediff=abs($thisangle-$angle); 1818: &addlog("Angle difference: $anglediff"); 1819: if ($anglediff>360.-$anglediff) { 1820: $anglediff=360.-$anglediff; 1821: } 1822: &addlog("Smallest angle difference: $anglediff"); 1823: if ($anglediff>$angleerror) { 1824: &setfailed($label); 1825: return 0; 1826: } 1827: } 1828: &addlog("Rule $label passed."); 1829: return 1; 1830: } 1831: 1832: sub customcheck { 1833: my ($rule,$safeeval)=@_; 1834: my ($label,$type,$prg)=split(/\:/,$rule); 1835: &addlog("Custom Rule ".$label); 1836: my $result=&Apache::run::run(&unescape($prg),$safeeval); 1837: &addlog("Algorithm returned $result"); 1838: unless ($result) { 1839: &setfailed($label); 1840: return 0; 1841: } 1842: &addlog("Rule $label passed."); 1843: return 1; 1844: } 1845: 1846: # 1847: # Evaluate a functionplotrule 1848: # 1849: 1850: sub functionplotrulecheck { 1851: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1852: 1853: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 1854: =split(/\:/,$rule); 1855: $percent=($percent>0?$percent:5); 1856: &addlog("================="); 1857: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 1858: # 1859: # Evaluate the value 1860: # 1861: if (($value=~/\D/) && ($value ne 'undef')) { 1862: $Apache::functionplotresponse::fpr_xmin=$xmin; 1863: $Apache::functionplotresponse::fpr_xmax=$xmax; 1864: $value=&Apache::run::run($value,$safeeval); 1865: &addlog("Value evaluated to $value"); 1866: } 1867: 1868: # 1869: # Minimum and maximum lengths of the interval 1870: # 1871: if ((defined($minimumlength)) || (defined($maximumlength))) { 1872: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); 1873: } 1874: my $li=0; 1875: my $lh=400; 1876: 1877: # Special case: the upper boundary was not defined 1878: # and needs to be set to the value where 1879: # the condition is not true anymore => set flag 1880: 1881: my $findupper=0; 1882: if (($xfinal eq '') 1883: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 1884: && ($xfinallabel)) { 1885: $findupper=1; 1886: } 1887: 1888: # if a hard value is set for the boundaries, it overrides the label 1889: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 1890: $li=&array_index($xmin,$xmax,$xinitial); 1891: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 1892: } 1893: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 1894: $lh=&array_index($xmin,$xmax,$xfinal); 1895: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 1896: } 1897: # if the label is defined, use it 1898: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 1899: &addlog("Using lower label $xinitiallabel"); 1900: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 1901: } else { 1902: $li=&array_index($xmin,$xmax,$xinitial); 1903: } 1904: unless ($findupper) { 1905: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 1906: &addlog("Using upper label $xfinallabel"); 1907: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 1908: } else { 1909: $lh=&array_index($xmin,$xmax,$xfinal); 1910: } 1911: } 1912: # Basic sanity checks 1913: if ($li<0) { $li=0; } 1914: if ($lh>400) { $lh=400; } 1915: if (($li>$lh) || (!defined($lh))) { 1916: $lh=$li; 1917: } 1918: 1919: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 1920: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 1921: if ($findupper) { 1922: &addlog("Looking for label $xfinallabel"); 1923: } 1924: my $tol=$percent*($ymax-$ymin)/100; 1925: if ($xmax>$xmin) { 1926: if ($derivative==2) { 1927: $tol=4.*$tol/($xmax-$xmin); 1928: } elsif ($derivative==1) { 1929: $tol=2.*$tol/($xmax-$xmin); 1930: } elsif ($derivative==-1) { 1931: $tol=$tol*($xmax-$xmin)/2.; 1932: } 1933: } 1934: my $integral=0; 1935: my $binwidth=($xmax-$xmin)/400.; 1936: if (($derivative<0) && (!$findupper)) { 1937: # definite integral, calculate over whole length 1938: &addlog("Calculating definite integral"); 1939: for (my $i=$li; $i<=$lh; $i++) { 1940: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1941: } 1942: unless (&compare_rel($relationship,$value,$integral,$tol)) { 1943: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 1944: &addlog("Rule $label failed."); 1945: &setfailed($label); 1946: return 0; 1947: } 1948: } else { 1949: for (my $i=$li; $i<=$lh; $i++) { 1950: my $val; 1951: if ($derivative==2) { 1952: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 1953: } elsif ($derivative==1) { 1954: $val=$Apache::functionplotresponse::dfuncdx[$i]; 1955: } elsif ($derivative==-1) { 1956: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1957: $val=$integral; 1958: } else { 1959: $val=$Apache::functionplotresponse::func[$i]; 1960: } 1961: unless (&compare_rel($relationship,$value,$val,$tol)) { 1962: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 1963: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 1964: if (($findupper) && ($i>$li)) { 1965: # Check lengths 1966: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1967: # Successfully found a new label, set it 1968: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1969: &addlog("Rule $label passed, setting label $xfinallabel"); 1970: return 1; 1971: } else { 1972: &addlog("Rule $label failed."); 1973: &setfailed($label); 1974: return 0; 1975: } 1976: } 1977: } 1978: } 1979: # Corner case where this makes sense: using start or stop as defined labels 1980: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1981: &addlog("Rule $label passed."); 1982: return 1; 1983: } 1984: 1985: # 1986: # check for minimum and maximum lengths 1987: # 1988: 1989: sub checklength { 1990: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; 1991: unless (($minimumlength) || ($maximumlength)) { return 1; } 1992: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 1993: if ($minimumlength) { 1994: if ($length<$minimumlength) { 1995: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 1996: &setfailed($label); 1997: return 0; 1998: } 1999: } 2000: if ($maximumlength) { 2001: if ($length>$maximumlength) { 2002: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 2003: &setfailed($label); 2004: return 0; 2005: } 2006: } 2007: return 1; 2008: } 2009: 2010: sub setfailed { 2011: my ($hintlabel)=@_; 2012: $hintlabel=~s/^R//; 2013: push(@Apache::functionplotresponse::failedrules,$hintlabel); 2014: &addlog("Set hint condition $hintlabel"); 2015: } 2016: 2017: sub start_functionplotruleset { 2018: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2019: if ($target eq 'edit') { 2020: return &Apache::edit::start_table($token). 2021: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 2022: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 2023: .&Apache::edit::deletelist($target,$token).'   '. 2024: &Apache::edit::insertlist($target,$token).'   ' 2025: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') 2026: .'</span></td>' 2027: ."<td> " 2028: .&Apache::edit::end_row() 2029: .&Apache::edit::start_spanning_row() 2030: ."\n"; 2031: } 2032: } 2033: 2034: sub end_functionplotruleset { 2035: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2036: my $id=$Apache::inputtags::response[-1]; 2037: my $partid=$Apache::inputtags::part; 2038: my $internalid = $partid.'_'.$id; 2039: 2040: if ($target eq 'edit' ) { 2041: return &Apache::edit::end_table(); 2042: } elsif ($target eq 'grade' 2043: && &Apache::response::submitted() 2044: && $Apache::lonhomework::type ne 'exam') { 2045: # 2046: # Actually grade 2047: # 2048: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2049: 2050: my $ad=''; 2051: undef %Apache::functionplotresponse::functionplotrulelabels; 2052: $Apache::functionplotresponse::ruleslog=''; 2053: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 2054: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 2055: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') { 2056: $ad='NOT_FUNCTION'; 2057: } else { 2058: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 2059: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 2060: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 2061: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 2062: 2063: # We have a function that we can actually grade, go through the spline rules. 2064: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 2065: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2066: $ad='INCORRECT'; 2067: last; 2068: } 2069: } 2070: # And now go through the vector rules 2071: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) { 2072: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2073: $ad='INCORRECT'; 2074: last; 2075: } 2076: } 2077: # If it's not wrong, it's correct 2078: unless ($ad) { $ad='EXACT_ANS' }; 2079: } 2080: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 2081: &addlog("Assigned award detail: $ad"); 2082: # Store for later to be assigned at end_functionplotresponse 2083: $Apache::functionplotresponse::awarddetail=$ad; 2084: } 2085: } 2086: 2087: 2088: sub end_functionplotresponse { 2089: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2090: &Apache::response::end_response; 2091: 2092: my $result; 2093: my $id=$Apache::inputtags::response[-1]; 2094: my $partid=$Apache::inputtags::part; 2095: my $internalid = $partid.'_'.$id; 2096: 2097: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 2098: if ($target eq 'grade' 2099: && &Apache::response::submitted() 2100: && $Apache::lonhomework::type eq 'exam') { 2101: 2102: &Apache::response::scored_response($partid,$id); 2103: 2104: } elsif ($target eq 'grade' 2105: && &Apache::response::submitted() 2106: && $Apache::lonhomework::type ne 'exam') { 2107: my ($response,%coords)=&get_answer_from_form_fields($internalid); 2108: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 2109: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 2110: # 2111: # Assign grade 2112: # 2113: my $ad=$Apache::functionplotresponse::awarddetail; 2114: # 2115: # Store grading info 2116: # 2117: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 2118: &Apache::response::handle_previous(\%previous,$ad); 2119: } elsif ($target eq 'web') { 2120: undef @Apache::functionplotresponse::failedrules; 2121: } 2122: return $result; 2123: } 2124: 2125: sub end_functionplotelements { 2126: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2127: my $result=''; 2128: my $id=$Apache::inputtags::response[-1]; 2129: my $partid=$Apache::inputtags::part; 2130: my $internalid = $partid.'_'.$id; 2131: if ($target eq 'edit' ) { 2132: $result=&Apache::edit::end_table(); 2133: } elsif ($target eq 'web') { 2134: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2135: 2136: # Are we in show answer mode? 2137: my $showanswer=&Apache::response::show_answer(); 2138: if ($showanswer) { 2139: # Render answerdisplay 2140: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); 2141: if ($answerdisplay=~/\S/s) { 2142: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { 2143: my @components=split(/\s*\:\s*/,$plot); 2144: if ($#components<3) { 2145: # Just a simple plot 2146: my ($func,$xl,$xh)=@components; 2147: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } 2148: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } 2149: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); 2150: } else { 2151: # This is a spline 2152: $result.=&answer_spline_script($internalid,@components); 2153: } 2154: } 2155: } 2156: } 2157: my $fixed=0; 2158: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } 2159: # Now is the time to render all of the stored splines 2160: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2161: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); 2162: } 2163: # close the init script 2164: $result.=&end_init_script(); 2165: # register all splines in this response 2166: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 2167: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 2168: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2169: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 2170: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 2171: } 2172: # generate the input fields 2173: $result.=$Apache::functionplotresponse::inputfields; 2174: # actually start the <applet>-tag 2175: $result.=&geogebra_startcode($internalid, 2176: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2), 2177: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2)); 2178: # set default parameters 2179: $result.=&geogebra_default_parameters($internalid); 2180: # close the <applet>-tag 2181: $result.=&geogebra_endcode(); 2182: } 2183: return $result; 2184: } 2185: 2186: sub boundaries { 2187: my ($parstack,$safeeval,$level)=@_; 2188: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 2189: $xmin=(defined($xmin)?$xmin:-10); 2190: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 2191: $xmax=(defined($xmax)?$xmax:10); 2192: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 2193: $ymin=(defined($ymin)?$ymin:-10); 2194: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 2195: $ymax=(defined($ymax)?$ymax:10); 2196: if ($xmax<=$xmin) { 2197: $xmax=$xmin+20; 2198: } 2199: if ($ymax<=$ymin) { 2200: $ymax=$ymin+20; 2201: } 2202: return ($xmin,$xmax,$ymin,$ymax); 2203: } 2204: 2205: sub start_functionplotelements { 2206: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2207: my $result=''; 2208: my $id=$Apache::inputtags::response[-1]; 2209: my $partid=$Apache::inputtags::part; 2210: my $internalid = $partid.'_'.$id; 2211: 2212: if ($target eq 'edit') { 2213: return &Apache::edit::start_table($token). 2214: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 2215: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 2216: .&Apache::edit::deletelist($target,$token).'   '. 2217: &Apache::edit::insertlist($target,$token).'   ' 2218: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') 2219: .'</span></td>' 2220: ."<td> " 2221: .&Apache::edit::end_row() 2222: .&Apache::edit::start_spanning_row() 2223: ."\n"; 2224: } elsif ($target eq 'web') { 2225: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2226: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2227: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2228: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2229: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 2230: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 2231: 2232: 2233: # paste in the update routine to receive stuff back from the applet 2234: $result.=&update_script($internalid); 2235: # start the initscript for this applet 2236: $result.=&start_init_script($internalid); 2237: # put the axis commands inside 2238: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 2239: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); 2240: # init script is left open 2241: } 2242: return $result; 2243: } 2244: 2245: 1; 2246: 2247: __END__ 2248: 2249: =head1 NAME 2250: 2251: Apache::functionplotresponse.pm; 2252: 2253: =head1 SYNOPSIS 2254: 2255: Handles tags associated with accepting function plots. 2256: 2257: This is part of the LearningOnline Network with CAPA project 2258: described at http://www.lon-capa.org. 2259: 2260: =head1 HANDLER SUBROUTINE 2261: 2262: start_functionplotresponse() 2263: 2264: =head1 OTHER SUBROUTINES 2265: 2266: =over 2267: 2268: =item end_functionplotresponse() 2269: 2270: =back 2271: 2272: =cut